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) = r**2 + 4*r + 5. What is the remainder when x is divided by b(-6)? 15 Calculate the remainder when (-160)/16*25/(-2) is divided by 32. 29 Suppose -20*m + 16*m = -96. What is the remainder when 84 is divided by m? 12 Let c = 9 - 6. Let l = c - 0. Suppose h = -l*h + 12. What is the remainder when 4 is divided by h? 1 Let r = -7 - -10. Let u(n) = 3*n + 3. Calculate the remainder when 21 is divided by u(r). 9 Suppose -5*a + 24 = -8*a. Let q = 1 - a. What is the remainder when -52*((-10)/4 - -2) is divided by q? 8 Let a be 89 - ((-2 - -2) + -1). Let b = 132 - a. What is the remainder when b is divided by 22? 20 Let s = -9 + 10. What is the remainder when s*(-4)/8*-52 is divided by 14? 12 What is the remainder when 149 is divided by 2*310/16 + 3/(-4)? 35 Let h(c) = 12*c**2 + c + 1. Calculate the remainder when h(-1) is divided by 1*(-28)/12*-3. 5 Suppose -11*n + 13*n = 30. What is the remainder when 36 is divided by n? 6 Let b = -38 - -43. Let q be 2/(-3) + 4/6. Let w(h) = -h + 9. Calculate the remainder when w(q) is divided by b. 4 Suppose 2*m - 6*m - 336 = 0. Let l = m - -153. What is the remainder when l is divided by 18? 15 Let x = 4 + -2. Let w(b) = b**3 + 5*b**2 + 4. Let k be w(-5). Let f = -3 + k. Calculate the remainder when x is divided by f. 0 Suppose -6 = f - 19. Suppose 0*d = 5*d - 185. Calculate the remainder when d is divided by f. 11 Suppose -8 = 2*x - 2*z - 3*z, 5 = x + 2*z. Let q(v) = 11*v. What is the remainder when 30 is divided by q(x)? 8 Suppose 4*k - 110 = -k. Calculate the remainder when 86 is divided by k. 20 Let d = 59 - 46. Calculate the remainder when 152 is divided by d. 9 Let b(n) = -n**2 + 11*n - 6. Calculate the remainder when 43 is divided by b(7). 21 Let z = 32 - 10. Calculate the remainder when z is divided by 15. 7 Let p(d) = -d**2 + 5*d - 18. Let w be p(8). Let q = 61 + w. Calculate the remainder when q is divided by 11. 8 Let p(r) = r**2 - 3*r - 5. Let q(i) = -i**2 - 2*i + 1. Let f be q(-3). Calculate the remainder when p(6) is divided by (-6 - (3 + f))*-1. 6 Let o(w) = w - 4. What is the remainder when o(6) is divided by (-4)/(-16)*2*2? 0 Let n(h) = h**3 - 8*h**2 + 7*h - 11. Let s(w) = -w**3 - 11*w**2 - 12*w + 3. What is the remainder when n(8) is divided by s(-10)? 22 Let f(z) = -z**2 - 4*z + 3. Suppose -2*p - 3*p = 20. What is the remainder when f(p) is divided by 2? 1 Suppose 18*q - 203 = 11*q. What is the remainder when 144 is divided by q? 28 Let h = 140 + -130. Calculate the remainder when 29 is divided by h. 9 Let l(q) = -q**2 - 8*q - 3. Let c = 2 + 5. What is the remainder when l(-5) is divided by c? 5 Suppose -4*u + 0*u = 5*m - 261, -3*m = 9. What is the remainder when u is divided by 36? 33 Let l be 3/5 + (-12)/(-5). Suppose 0 = 3*d - l*a + 6*a - 84, -a = -2*d + 50. Calculate the remainder when d is divided by 9. 8 Suppose -3*p = -3*h, -2*h + 3*h = -p. Suppose u - 4*j - 27 = p, 0*u - u = -2*j - 29. What is the remainder when u is divided by 8? 7 Let u = 0 + 94. What is the remainder when u is divided by 24? 22 Suppose 0 = -c - 4, 3*z + 4*c + 3 + 1 = 0. What is the remainder when 7 is divided by z? 3 Suppose 3*j = -4*a, -4*j = 3*a + a. Suppose 2*m + j*m - 5*d = 0, 0 = -3*m - 5*d + 25. What is the remainder when m is divided by (2 + 0)/2*3? 2 Let g be (-3*12/9)/(-1). Suppose j - 55 = -g*j. Calculate the remainder when 31 is divided by j. 9 Suppose 80 = 10*c - 6*c. Calculate the remainder when c is divided by 11. 9 Calculate the remainder when 64 - (2/3)/(4/(-18)) is divided by 24. 19 Let g = 83 - 47. Suppose -x + 105 = 5*k + 4*x, -2*k = -4*x - 30. Calculate the remainder when g is divided by k. 17 Suppose -q + 0*q = 0. Suppose q = -2*r + 2*f - 5*f + 29, -3*r = -3*f - 6. What is the remainder when r is divided by 2? 1 Suppose 566 + 44 = -5*n - 3*v, 5*v = -2*n - 225. Let a = -71 - n. Calculate the remainder when a is divided by 14. 12 Let r = -2 - -6. Suppose -63 = v - r*v. What is the remainder when 41 is divided by v? 20 Suppose 5*b - 727 = -182. What is the remainder when b is divided by 22? 21 Let z = 59 + 135. Suppose -4*l = -26 - z. Let r = l + -26. Calculate the remainder when r is divided by 10. 9 Calculate the remainder when 63 - ((-12)/3)/2 is divided by 22. 21 Let j(g) be the first derivative of 11*g**3/3 + 1. Suppose 5 = 6*r - r. Calculate the remainder when 20 is divided by j(r). 9 Let h(w) = -11*w - 8. Let s(j) = 5*j + 4. Let n(f) = -3*h(f) - 7*s(f). Let m = 4 + 13. Calculate the remainder when m is divided by n(-5). 5 Suppose -109 + 4 = -5*o. Suppose -j + 6*y = y - 8, -40 = -5*j - 3*y. Let i = j - -32. Calculate the remainder when i is divided by o. 19 Suppose -l = -3*l + 94. What is the remainder when l is divided by 12? 11 Let p(l) = -l**3 + 10*l**2 - 7*l - 9. Let b(h) = -2*h + 3. Let i be b(-3). What is the remainder when p(i) is divided by 5 + 2/(-2) - -1? 4 Calculate the remainder when 52 is divided by 7/(2/(8 - 4)). 10 Suppose -5*r + 2*d + 53 + 32 = 0, -4*r + 3*d + 68 = 0. What is the remainder when 29 is divided by r? 12 Suppose 0 = f - 17 - 9. Suppose f = 6*x - 4*x. What is the remainder when 37 is divided by x? 11 Suppose -3*l - 6 = -4*l. Let n(o) = o**3 + 8*o**2 + 11. What is the remainder when n(-8) is divided by l? 5 Suppose 0 = -4*n + 5*l, -5*n + 31 + 14 = 5*l. Suppose -5*q - n - 15 = 0. What is the remainder when (q/(-4))/((-1)/(-53)) is divided by 18? 17 Suppose -4*o = 2*p - 5*o - 55, -3*o + 95 = 4*p. What is the remainder when 50 is divided by p? 24 What is the remainder when 231 is divided by 25 + (-3 + 4)/(7/7)? 23 Let s(m) = -m + 6. Let b = 16 - 10. What is the remainder when b is divided by s(4)? 0 Calculate the remainder when 33 is divided by 1 - (-2 - (0 + 2))*4. 16 Suppose 38 = 4*o + 10. Suppose 2*n + 2*q = 16, -13 = -n - 2*q - 8. What is the remainder when n is divided by o? 4 Let k(y) be the second derivative of -y**4/12 - 5*y**3/6 + y**2/2 - 4*y. Suppose 3 = -4*q - 13. Calculate the remainder when 8 is divided by k(q). 3 Let j(h) = -h**2 + 11*h + 3. Suppose 3*o = o + 5*c + 37, 47 = 4*o - c. Calculate the remainder when j(o) is divided by (-1)/((-2)/(-4))*-1. 1 Let b(m) = m**3 - 5*m**2 - 5. Let c be b(5). Let p(z) = -2*z - 1. Suppose 8*s - 3*s - 25 = 0. What is the remainder when p(c) is divided by s? 4 Suppose 69 = -y + 4*y - p, 0 = 5*y - 3*p - 119. What is the remainder when y is divided by 9? 4 Let o be 3*(-1 - (-1)/(-3)). Let f(a) = -a**3 + 5*a**2 + 7*a + 1. What is the remainder when f(6) is divided by 16/6*(-6)/o? 3 Let o(p) = 5*p - 7. Let q = -3 - -11. What is the remainder when o(q) is divided by 12? 9 Let u(a) = 2 + 2*a - 3 + 0*a**2 + 11*a**2. Let q be u(-2). Suppose -2*b = -4*r, 2*b + 9 = -2*r + q. What is the remainder when 29 is divided by b? 9 Let o be ((-1)/(-2) + -1)*-8. Suppose -7*c = -o*c - 54. What is the remainder when 34 is divided by c? 16 Suppose -13 = b + 5*r - 2*r, 4*b + 22 = -2*r. Let t = b + 12. Let n(z) = -z - 3. What is the remainder when t is divided by n(-6)? 2 Suppose v + 5*j + 11 = 0, -5*v - 2*j + 23 = 9. Let n = 142 + -128. What is the remainder when n is divided by v? 2 Let h = -4 - -18. Let o(f) = 5*f + 6. Calculate the remainder when o(7) is divided by h. 13 Let p(x) = -4*x + 1. Let a = 5 + -8. What is the remainder when 38 is divided by p(a)? 12 Suppose 3*l - 3*s - 54 = 0, 5*l - 84 = s - 2*s. Suppose 3*x = -2 + 20. Calculate the remainder when l is divided by x. 5 Suppose 5*q = 0, -5*w = q + 4*q - 55. What is the remainder when 20 is divided by w? 9 What is the remainder when (-31)/155 - (-1)/(5/266) is divided by 18? 17 Suppose -5*v + 318 = 58. Calculate the remainder when v is divided by 18. 16 Suppose -113 = -5*q - 2*u, -10 = -q - 2*u + 11. Calculate the remainder when 90 is divided by q. 21 Let n = 101 + -44. Calculate the remainder when n is divided by 23. 11 Let c = -8 - -11. Suppose 0 = c*q - 4*h - 2, -h = 3*q - 1 - 6. Suppose -2*s - 2 + 18 = q*d, 4*s = -d + 35. What is the remainder when 26 is divided by s? 8 Let o = 36 - 26. What is the remainder when o is divided by (1 - -1)/(1/2)? 2 Suppose 7*v + 0 = 98. Let b(x) = -76*x**2. Let t be b(1). Let f = 117 + t. Calculate the remainder when f is divided by v. 13 Suppose 2*l = 8*l - 102. What is the remainder when 151 is divided by l? 15 Suppose -q - 3*q = 0. Suppose s
{ "pile_set_name": "DM Mathematics" }
(e) -391 e Which is the second biggest value? (a) -3 (b) -0.1 (c) 0.1 (d) 5 (e) -1 c Which is the fourth smallest value? (a) 0.4 (b) 2/1443 (c) 3 (d) -3/2 c Which is the fourth biggest value? (a) -0.44 (b) 0.5 (c) -3 (d) -5 d What is the second smallest value in -11, -7, -2, 2/7? -7 What is the biggest value in -11, 1, -5, -2/7? 1 Which is the biggest value? (a) 0.3 (b) -0.3 (c) 72 (d) 2/7 c What is the third smallest value in -5, 1, 0.1, -2/3, 0.2? 0.1 Which is the fourth smallest value? (a) 2/3 (b) 0 (c) -5 (d) 10 d Which is the fourth smallest value? (a) 0 (b) 1/7 (c) 19 (d) 8 (e) 1 d Which is the second smallest value? (a) 15 (b) 5 (c) 198 a What is the third biggest value in 0.25, -1, -3/5? -1 What is the second biggest value in -5, 3, 1/8, 0, 93? 3 What is the second biggest value in -2, -1/8, 1/3, 1/6? 1/6 What is the biggest value in 0.6, 45, -2? 45 What is the third biggest value in -0.1, 3, 163? -0.1 Which is the third biggest value? (a) 6/13 (b) 2 (c) -2 (d) 0.19 d What is the second biggest value in -1, -5, 5884, 3? 3 Which is the third biggest value? (a) 1/7 (b) 2/29 (c) -5 (d) 0.2 (e) -1/7 b Which is the fourth biggest value? (a) 1/3 (b) 2/5 (c) -0.9 (d) -1/2 c Which is the second smallest value? (a) -352 (b) -2 (c) 4 b What is the second smallest value in 0.14, 7, 2/3? 2/3 What is the fourth smallest value in 5, -1/8, -3, 2/9, -5? 2/9 What is the second smallest value in 3, 28, -12? 3 Which is the third biggest value? (a) 7 (b) -2 (c) -0.6 b Which is the smallest value? (a) 0.3 (b) 2/5 (c) 62 (d) -3 (e) -4 e What is the fifth biggest value in -1, -3/4, 0.17, -3, -2/7? -3 Which is the second biggest value? (a) 12 (b) 5 (c) 1/5 (d) -3 b Which is the smallest value? (a) -0.1 (b) 287/6 (c) -3 (d) -2 c What is the fifth smallest value in 0, 3, 1/3, 3/7, -1.64? 3 Which is the fourth biggest value? (a) -3/5 (b) -1/32 (c) -2/5 (d) 1/3 a What is the fifth smallest value in 1, -15, 0, -35, -2? 1 Which is the third biggest value? (a) -2/31 (b) 6/5 (c) -4 c What is the fourth smallest value in -25, -2/3, 6/11, 2? 2 What is the second biggest value in -1/9, -2/7, -4/11? -2/7 Which is the second biggest value? (a) 4/7 (b) -3 (c) 2 (d) -1 (e) -4 a What is the third biggest value in 5, 191, 0.4? 0.4 What is the third biggest value in -5, 0.4, -2/7, 1.99, -2/5? -2/7 Which is the biggest value? (a) 114 (b) 0.1 (c) -4 (d) 1 (e) 2/5 a What is the fourth biggest value in 1/7, -2/3, -2/97, -2, 1/5? -2/3 What is the fourth smallest value in 1, -2, 2/3, -2/13? 1 What is the second smallest value in 3/2, -0.18, -4? -0.18 Which is the second smallest value? (a) 9 (b) -2/7 (c) -0.4 (d) -129 c What is the second smallest value in 3, 1/11, -1/4, -3? -1/4 What is the third biggest value in 3/13, 5, -0.6? -0.6 What is the second biggest value in -2/3, 0.5, 9, -1? 0.5 Which is the second biggest value? (a) 7 (b) -2 (c) 5 c Which is the second smallest value? (a) 2/115 (b) -0.2 (c) 0.3 (d) -1 (e) 1.4 b What is the smallest value in 1, 6, -0.1? -0.1 What is the smallest value in 1/10, -2, -0.4, -88? -88 Which is the fourth biggest value? (a) 2/11 (b) -2 (c) 0.047 (d) 0.4 (e) -3 b Which is the smallest value? (a) -3 (b) -6/59 (c) 4 (d) 0.4 (e) -1.6 a What is the second biggest value in 1, -0.4, -5, -1/5, -0.8? -1/5 What is the fourth biggest value in -5, 36, 2/3, -2? -5 What is the third smallest value in 3, -0.5, 0.11, 5, -16? 0.11 What is the second biggest value in 0, -4, -2, 2.8, -5? 0 What is the third smallest value in 5, 67, -1/9, 2? 5 Which is the third smallest value? (a) 1 (b) 7 (c) -0.02 b Which is the fourth biggest value? (a) 21 (b) -20 (c) 0.1 (d) -2 b What is the third smallest value in -31, -0.7, -0.3? -0.3 What is the third biggest value in -6, -2, -8/9, -2/5? -2 Which is the second biggest value? (a) -6 (b) 5/3 (c) 73 b Which is the second smallest value? (a) -3/5 (b) 35 (c) 1/13 (d) 0.5 c What is the smallest value in 3/5, 0.3, 157? 0.3 What is the third biggest value in 4/3, 2/11, 0.2, -5, -1/2? 2/11 What is the second smallest value in 2/13, -1/21, 12? 2/13 What is the fifth smallest value in -12, 1, 0.3, 7, -1/2? 7 Which is the smallest value? (a) -5 (b) 1/3 (c) 4/39 (d) 4 a What is the fourth smallest value in 0, -0.08, 1, -18, 0.9? 0.9 Which is the third biggest value? (a) 9 (b) -0.51 (c) 3 b What is the biggest value in 38, 14/3, -0.3? 38 What is the fifth biggest value in -1/6, 680, -2, -4, 2? -4 Which is the third smallest value? (a) 0.5 (b) -0.3 (c) -393 a What is the biggest value in -2, 40, 0.01? 40 Which is the smallest value? (a) 2/63 (b) 1 (c) -4 c What is the biggest value in 2, -1/137, 0.4? 2 Which is the fourth smallest value? (a) -0.3 (b) 3/5 (c) -8.8 (d) 7/2 (e) -3 b Which is the second smallest value? (a) -11 (b) 77 (c) 1/5 c What is the fourth smallest value in -3/4, -5/6, 5, -4, 11? 5 What is the fourth smallest value in -0.5, 94, -0.4, 9, 2/9? 9 Which is the second biggest value? (a) 0 (b) -3/89 (c) 4 (d) -4 a What is the second biggest value in -2, -1/141, 4? -1/141 Which is the biggest value? (a) 0.4 (b) 8 (c) 3/2 b What is the fourth biggest value in -161, 0, 4/9, 2? -161 Which is the second biggest value? (a) 5 (b) 4.8 (c) 1.5 (d) -0.2 b Which is the third smallest value? (a) -2/7 (b) 17/28 (c) 1/4 b Which is the fourth biggest value? (a) -1 (b) 0.5 (c) 0 (d) -1/8 a What is the third biggest value in -0.2, -0.3, 1183? -0.3 What is the biggest value in -1/4, -13/10, -16? -1/4 Which is the second biggest value? (a) -2.1 (b) -37 (c) -4 c Which is the second smallest value? (a) 23 (b) 3/2 (c) -0.4 (d) -0.3 d Which is the second smallest value? (a) -250 (b) -0.1 (c) 2/15 b What is the biggest value in 5, -2, 7, -2/7? 7 Which is the smallest value? (a) 12 (b) -3 (c) 2 (d) 1/3 b Which is the third smallest value? (a) -4 (b) 4 (c) -0.2 (d) -32 c Which is the fourth smallest value? (a) -3/2 (b) -8 (c) 3 (d) -4 c Which is the biggest value? (a) 3 (b) -26 (c) -12 a What is the third biggest value in 4/5, -1.4, 1/6, -1, 2/3? 1/6 What is the third smallest value in 1/5, -1051, -0.11? 1/5 What is the fifth biggest value in 7, 0.5, 11, -2, 0? -2 What is the second biggest value in 1/8, 933, -0.2, -0.5? 1/8 Which is the third biggest value? (a) 5 (b) -3 (c) 358 (d) 0.5 d What is the fourth smallest value in 3/2, -2/35, 0.06, -3/8? 3/2 What is the second biggest value in -4, -0.4, 4/25? -0.4 What is the third smallest value in 2, 0.07, 1/52, 4? 2 Which is the biggest value? (a) 1 (b) -2 (c) 0.4 (d) -0.2 a Which is the third biggest value? (a) -3 (b) -543 (c) 0.1 b Which is the second smallest value? (a) 0.1 (b) -4 (c) -65/2 b Which is the smallest value? (a) 4 (b) 0.05 (c) 37 b What is the biggest value in 1, -1/57, -0.4, 26? 26 What is the second biggest value in -2, -14, -8? -8 Which is the smallest value? (a) -1/5 (b) 6 (c) 51 a Which is the smallest value? (a) -4 (b) 0.71 (c) -1 (d) -1/8 a Which is the fourth smallest value? (a) -2/7 (b) -5/4 (c) 61 (d) 5 c Which is the smallest value? (a) -3/4 (b) -3 (c) -9 (d) -0.1 c Which is the fourth smallest value? (a) -3/5 (b) -3 (c) 5 (d) -1/11 c What is the biggest value in 0.07, 2/7, -125? 2/7 What is the second biggest value in 0, 1/5, -2/3? 0 Which is the smallest value? (a) 0.4 (b) 2 (c) -6 (d) -5/4 c What is the third biggest value in 1, 1/2, -3, 1.5? 1/2 Which is the third smallest value? (a) 5 (b) -6 (c) -0.129 a What is the second smallest value in -0.1, -11, -5? -5 What is the second biggest value in -3, -21/11, -0.4? -21/11 What is the fifth smallest value in -0.3, -1/5, -1, -2, 2/19? 2/19 What is the smallest value in 3, -2/137, -0.05, 3/4? -0.05 What is the fourth biggest value in 4/7, -5/8, -0.1, -3/2? -3/2 Which is the second smallest value? (a) 1 (b) -1501 (c) 2 (d) -1 d Which is the biggest value? (a) -0.5 (b) -1/9 (c) -0.06 (d) -1/5 (e) -1 c What is the third smallest value in -5, -0.38, 2/21, 0.2? 2/21 Which is the third smallest value? (a) 2 (b) 5 (c) 4 (d) 6 b Which is the biggest value? (a) 6 (b) -0.01 (c) -2/5 a What is the fourt
{ "pile_set_name": "DM Mathematics" }
= 0. -120, -1, 1 Factor -587*b**2 - 103 - 192*b**3 + 40*b**2 - 30*b**2 + 4*b**5 - 151*b**2 - 772*b - 161 + 32*b**4. 4*(b - 6)*(b + 1)**3*(b + 11) Let a(n) be the second derivative of 49*n**5/100 - 189*n**4/20 + 72*n**3 - 270*n**2 + 1006*n. Suppose a(r) = 0. Calculate r. 3, 30/7 Let s = 1967391/756685 + -2/151337. Determine d, given that 64/5*d + 6/5*d**2 - 32/5 - s*d**3 + 2/5*d**4 = 0. -2, 1/2, 4 Solve -79 - 18*k**3 + 49 + 104*k**2 + 96 + 42 + 510*k = 0 for k. -3, -2/9, 9 Suppose -3*z - 4*u + 9 = 0, 5*u - 3 = 3*z - 4*z. Find c such that -27*c**3 - 27*c**3 + 80*c + 8*c**2 - 49*c**z + 32 + 19*c**3 - 36*c**4 = 0. -2, -2/3, 1 Solve -52*q + 13 - 589*q**3 - 256*q**2 - 13 + 16*q**4 + 401*q**3 = 0. -1, -1/4, 0, 13 Let o be (-48)/(-40)*86/129. Find x such that -2/5*x + o + 2/5*x**3 - 4/5*x**2 = 0. -1, 1, 2 Let x = -1412893/5 + 282593. Factor -x*d + 4/5*d**4 - 48/5*d**2 + 8/5*d**3 + 108/5. 4*(d - 3)*(d - 1)*(d + 3)**2/5 Let s = -42888 + 85783/2. Factor -16 - 76*h**3 + 27*h**4 - s*h**5 + 88*h**2 - 24*h. -(h - 2)**4*(7*h + 2)/2 Let i(h) be the first derivative of h**6/1800 + 7*h**5/600 + h**4/20 + 58*h**3/3 - 91. Let j(g) be the third derivative of i(g). Factor j(o). (o + 1)*(o + 6)/5 Let v be (7/21)/(4/36). Let -245*b + 112*b + b**2 + v*b**3 + 121*b - 10*b**2 = 0. What is b? -1, 0, 4 Solve 2250/7 + 3000/7*x + 820/7*x**2 + 2/7*x**4 + 72/7*x**3 = 0 for x. -15, -5, -1 Suppose -23 - 58 = -21*g - 6*g. Let l(w) be the first derivative of 2/3*w**g + 5 + 1/8*w**4 + w**2 + 0*w. Factor l(u). u*(u + 2)**2/2 Suppose -3*h + 6 = -1436*j + 1435*j, 2*h = j + 6. Let v = 23/33 - 1/33. Factor g**2 + v*g**3 + 0*g - 1/3*g**4 + h. -g**2*(g - 3)*(g + 1)/3 Factor -2/7*k**5 + 0*k + 0 + 1152/7*k**2 + 14*k**4 - 1248/7*k**3. -2*k**2*(k - 24)**2*(k - 1)/7 Let m = 193 - 193. Let f be (m/(15 + -10))/(2/(-1)). Factor -8/3*l**2 + l + f. -l*(8*l - 3)/3 Let o(v) be the first derivative of v**7/4620 + v**6/660 - v**5/165 - 8*v**3/3 + 3*v - 235. Let s(a) be the third derivative of o(a). Let s(f) = 0. Calculate f. -4, 0, 1 Factor -3894*q + 79218*q**2 - 19683/2*q**3 + 48. -3*(q - 8)*(81*q - 2)**2/2 Suppose 2*r = j + 40, -2735*j = -2740*j + 60. Suppose -r*c + 82/5*c**3 + 8/5*c**4 + 76/5*c**2 - 36/5 = 0. Calculate c. -9, -2, -1/4, 1 Suppose -61/3*v - 31/3 + 62/3*v**3 - 1/3*v**5 + 2/3*v**2 + 29/3*v**4 = 0. What is v? -1, 1, 31 Let o(i) = -4*i - 37. Let k be o(-11). Let z(l) = l**2 - 5*l - 13. Let s be z(k). Factor -3*m**2 + m**4 + s + 23*m - 25*m - 1. m*(m - 2)*(m + 1)**2 Let o = 1445 + -1393. Suppose -o*h + 60 = -44. Factor 2 - 4/3*t - 2/3*t**h. -2*(t - 1)*(t + 3)/3 Let v = 14915 - 14895. Let t(d) be the first derivative of v*d**4 + 7*d**5 + 24 - 85/3*d**3 - 15*d**2 + 0*d. Factor t(u). 5*u*(u - 1)*(u + 3)*(7*u + 2) Let k(g) = 73*g - 2114. Let m be k(29). Let z(n) be the first derivative of -2/3*n**m - 4*n - 21 + 3*n**2. Let z(b) = 0. Calculate b. 1, 2 Let l = -131/708 + 1363/3540. Solve 13/5*m - l*m**2 + 14/5 = 0 for m. -1, 14 Let o(l) = 7*l**2 + 6*l - 30. Let n(q) = -13*q**2 - 11*q + 61. Let g(c) = 6*n(c) + 11*o(c). Find u such that g(u) = 0. -6, 6 Let j = -751234/91 - -107438/13. Suppose 0 + 208/7*w**3 + 0*w - 4*w**5 - j*w**4 + 64/7*w**2 = 0. Calculate w. -4, -2/7, 0, 2 Let t = 2646 + -2640. Let a(w) be the third derivative of 18*w**2 + 1/18*w**3 + 0*w + 0 + 1/1890*w**7 - 1/135*w**5 + 1/540*w**t - 1/108*w**4. Solve a(r) = 0. -3, -1, 1 Let u(v) be the second derivative of v**7/12 + 17*v**6/20 + 119*v**5/40 + 121*v**4/24 + 9*v**3/2 + 2*v**2 + 162*v + 4. Suppose u(t) = 0. Calculate t. -4, -1, -2/7 Suppose -3*v + 17 = a, -4*v + 13 = -a + 2. Suppose -2*i + 3*i = -j + 3, 0 = -v*j. Let 100*y**3 - 3*y**4 + i*y**2 - 100*y**3 = 0. Calculate y. -1, 0, 1 Suppose 2/3 - 8/9*j**3 - 2/9*j**4 + 8/9*j - 4/9*j**2 = 0. Calculate j. -3, -1, 1 Let l(c) be the first derivative of 1/8*c**4 + 40/3*c**3 + 0*c + 20 + 400*c**2. Solve l(z) = 0 for z. -40, 0 Factor 488 + 510*t**3 + 798*t**2 - 5*t**4 + 137 + 2052*t - 182*t + 100*t**3 + 1062*t**2. -5*(t - 125)*(t + 1)**3 Let h = -9 + 12. Suppose 5 = i, -4*x - h*i - 6 = -37. Factor -5*m + 8 + 9*m + 8*m + x*m**2. 4*(m + 1)*(m + 2) Let l(d) be the third derivative of 2/21*d**7 + 0 + 34/3*d**4 + 32/3*d**3 + 37/30*d**6 + 0*d + 28/5*d**5 + 227*d**2. Determine u so that l(u) = 0. -4, -2, -1, -2/5 Let x = -6203 - -43423/7. Let y(d) be the first derivative of -12 - 4/7*d + x*d**3 - 1/7*d**2. Factor y(p). 2*(p - 1)*(3*p + 2)/7 Suppose 0 = 3*u - 1185 - 735. Let -450*b + 206 + 187 + 12 - 160*b**3 - u*b**2 = 0. What is b? -9/4, 1/2 Suppose -312*k - 216*k = 144 - 1200. Determine t, given that -800/11*t + 78/11*t**3 + 720/11*t**k + 2/11*t**4 + 0 = 0. -20, 0, 1 Let x(n) be the third derivative of 7*n**5/480 - 4975*n**4/192 - 237*n**3/8 + 2202*n**2 - 2*n + 2. Suppose x(s) = 0. What is s? -2/7, 711 Let k(h) be the third derivative of 0 + 0*h - 95*h**2 + 1/2*h**3 + 0*h**4 - 1/180*h**5. Factor k(d). -(d - 3)*(d + 3)/3 Let f be (-17199)/(-63063) + 30/11. Determine a so that 2/3*a**2 - 5/3*a**f + 0 - 1/3*a**4 + 8*a = 0. -4, -3, 0, 2 Suppose -3*i + 15 = -8*i. Let j(v) = -v**3 - v**2 - v - 13. Let g be j(i). Determine h so that -g*h - 3*h + 2*h**2 - h**2 + 0*h**2 = 0. 0, 11 Let t(x) be the first derivative of -21 - 1/75*x**6 - 3/50*x**5 - 1/15*x**3 - 1/10*x**4 + 0*x**2 - 2*x. Let y(r) be the first derivative of t(r). Factor y(g). -2*g*(g + 1)**3/5 Let c(x) = -3441*x**4 + 2940*x**3 - 829*x**2 + 69*x. Let n(u) = -588*u**3 + 166*u**2 - 14*u - 1952 + 688*u**4 + 1952. Let h(i) = -4*c(i) - 22*n(i). Factor h(p). -4*p*(7*p - 2)**3 Let j = -6113259/1016627 + 896/149. Let z = j + 2428983/34115. Suppose 138/5*a + 18/5*a**5 + 356/5*a**2 + z*a**3 + 138/5*a**4 + 18/5 = 0. Calculate a. -3, -1, -1/3 Let p(v) = 177*v**3 + 14593*v**2 - 16468*v + 1747. Let q(g) = 88*g**3 + 7297*g**2 - 8237*g + 873. Let i(b) = 3*p(b) - 7*q(b). Factor i(j). -5*(j - 1)*(j + 87)*(17*j - 2) Let o = 41936/3 - 13976. Let r(i) be the second derivative of 1/90*i**6 + 6*i + 0 + 5/12*i**4 - o*i**2 - 4/9*i**3 + 2/15*i**5. Suppose r(z) = 0. What is z? -4, -1, 1 Let p(q) be the second derivative of -q**4/84 + 23*q**3/21 + 48*q**2/7 - 86*q - 4. Factor p(n). -(n - 48)*(n + 2)/7 Let d(l) be the third derivative of -l**5/150 + 289*l**4/15 - 334084*l**3/15 - 67*l**2 - 9*l. Factor d(h). -2*(h - 578)**2/5 Let f = 2399017/639740 - -2/159935. Let -5/2 - 5/4*l**2 + f*l = 0. What is l? 1, 2 Factor -171*g**2 + 1176*g**2 + 744*g**3 + 99*g**3 - 6*g**4 + 5*g**4 + 845*g + 684*g**2. -g*(g - 845)*(g + 1)**2 Let m(g) = -467*g**2 + 6550*g - 165. Let l be m(14). Let 0*i - 1/6*i**4 + 7/3*i**2 + 0 - 13/6*i**l = 0. What is i? -14, 0, 1 Let f(s) be the third derivative of s**8/392 + 2*s**7/49 + 23*s**6/140 - s**5/7 - 6*s**4/7 - 2147*s**2. Solve f(n) = 0. -6, -4, -1, 0, 1 Let v = -9/14956 + 22443/14956. Let y be (-1)/(1/2)*-2. Factor 0 + 0*s**y - v*s**5 - 3/2*s + 3*s**3 + 0*s**2. -3*s*(s - 1)**2*(s + 1)**2/2 Let b = -25 + 176. Suppose 83 = 9*c - b. Factor -4*h**2 + 51 - h**2 - 15 + 5*h - c. -5*(h - 2)*(h + 1) Suppose -31 = -6*u + 11. Let s(r) = -2*r**3 + 15*r**2 - 6*r - 5. Let n be s(u). Suppose -w + 54*w**n - w - 53*w**2 = 0. What is w? 0, 2 Let l(c) = -3*c**2 - 3261*c + 421377. Let v(x) = -2*x**2 - 1635*x + 210690. Let a(g) = 5*l(g) - 9*v(g). Let a(u) = 0. What is u? 265 Let i = 55 + -42. Factor -175*k**3 + i + 24*k + k**4 + 22*k**2 - 4 + 183*k**3. (k + 1)**2*(k + 3)**2 Let u(y) = -y**2 + 16*y - 15. Let q be u(15). Suppose q = 2*l + 291 - 291. Find o such that -3/2*o**5 - 3/2*o**3 + 3*o**4 + 0*o + l*o**2 + 0 = 0. 0, 1 Let d be -7 - ((-3 - 11) + -11). Let h(p) be the first derivative of 16/11*p**2 + d - 14/11*p**3 + 9/22*p**4 - 8/11*p. Factor h(o). 2*(o - 1)*(3*o - 2)**2/11 Suppose 5*j = v + 22, -3*v - 2*j + 24 - 5 = 0. Solve 7*c**2 - v*c + 20*c - 1 + 7 = 0 for c. -2, -3/7 Factor 391*x**3 - 766*x**3 + 370*x**3 + 300 + 160*x - 5*x**2. -5*(x - 6)*(x + 2)*(x + 5) Let a be 21/(-175)*-5 - 3944/140. Let z = -27 - a. Let 8/7 - 10/7*w**4 - z*w**3 + 32/7*w + 30/7*w**2 = 0. Calculate w. -1, -2/5, 2 Let l = 161 + 24. Let f = l + -911/5. Factor 4/5*v**2 - f*v**3 + 0*v + 0. -2*v**2*(7*v - 2)/5 Let d(m) be the third derivative of -m**5/12 - 185*m**4/24 + 770*m**3/3 - 945*m**2 + m. Factor d(n). -5*(n - 7)*(n + 44) Factor -290521/4 - 1/4*r**2 + 539/2*r. -(r - 539)**2/4 Let b(h) be
{ "pile_set_name": "DM Mathematics" }
utes after 9:24 AM? 2:47 PM How many minutes are there between 7:11 PM and 1:11 AM? 360 What is 605 minutes after 1:44 PM? 11:49 PM How many minutes are there between 4:20 AM and 6:36 AM? 136 How many minutes are there between 10:17 AM and 7:55 PM? 578 How many minutes are there between 6:48 PM and 11:39 PM? 291 How many minutes are there between 10:18 PM and 5:21 AM? 423 How many minutes are there between 1:50 AM and 1:19 PM? 689 How many minutes are there between 10:39 AM and 9:26 PM? 647 What is 197 minutes after 2:31 PM? 5:48 PM What is 303 minutes before 8:14 AM? 3:11 AM How many minutes are there between 10:16 AM and 2:59 PM? 283 How many minutes are there between 9:10 AM and 10:19 AM? 69 What is 373 minutes after 1:26 PM? 7:39 PM What is 110 minutes after 4:33 PM? 6:23 PM What is 77 minutes after 4:08 PM? 5:25 PM How many minutes are there between 8:27 AM and 8:04 PM? 697 What is 90 minutes after 8:20 PM? 9:50 PM How many minutes are there between 4:07 PM and 7:02 PM? 175 How many minutes are there between 3:32 PM and 1:29 AM? 597 What is 704 minutes after 5:14 PM? 4:58 AM What is 264 minutes before 6:08 PM? 1:44 PM What is 439 minutes before 4:42 PM? 9:23 AM How many minutes are there between 11:39 AM and 12:31 PM? 52 How many minutes are there between 8:21 AM and 12:16 PM? 235 What is 139 minutes after 3:50 PM? 6:09 PM What is 655 minutes before 2:25 PM? 3:30 AM How many minutes are there between 6:18 PM and 11:38 PM? 320 How many minutes are there between 9:20 AM and 1:45 PM? 265 What is 699 minutes after 8:13 PM? 7:52 AM How many minutes are there between 3:58 PM and 4:54 PM? 56 What is 170 minutes before 6:43 AM? 3:53 AM How many minutes are there between 4:43 AM and 5:24 AM? 41 What is 175 minutes after 11:43 AM? 2:38 PM How many minutes are there between 1:10 AM and 2:03 AM? 53 How many minutes are there between 2:18 PM and 8:31 PM? 373 What is 646 minutes before 12:29 AM? 1:43 PM How many minutes are there between 6:01 AM and 7:38 AM? 97 What is 596 minutes before 12:01 PM? 2:05 AM How many minutes are there between 11:59 PM and 12:50 AM? 51 What is 255 minutes after 1:46 AM? 6:01 AM How many minutes are there between 2:46 PM and 7:41 PM? 295 How many minutes are there between 3:36 AM and 2:41 PM? 665 How many minutes are there between 2:54 PM and 11:19 PM? 505 What is 223 minutes before 7:06 AM? 3:23 AM How many minutes are there between 6:22 PM and 1:18 AM? 416 How many minutes are there between 11:51 AM and 12:30 PM? 39 How many minutes are there between 4:46 PM and 10:27 PM? 341 What is 320 minutes before 11:40 AM? 6:20 AM How many minutes are there between 10:01 AM and 11:38 AM? 97 How many minutes are there between 8:17 AM and 8:29 AM? 12 What is 552 minutes before 9:38 PM? 12:26 PM How many minutes are there between 9:20 PM and 10:20 PM? 60 What is 295 minutes after 6:17 AM? 11:12 AM How many minutes are there between 9:19 PM and 1:25 AM? 246 How many minutes are there between 5:32 PM and 7:56 PM? 144 How many minutes are there between 9:50 PM and 6:42 AM? 532 What is 690 minutes before 3:47 AM? 4:17 PM What is 322 minutes after 7:19 AM? 12:41 PM What is 420 minutes before 5:37 AM? 10:37 PM What is 127 minutes after 12:43 AM? 2:50 AM How many minutes are there between 11:34 AM and 2:39 PM? 185 What is 71 minutes after 5:59 AM? 7:10 AM What is 317 minutes before 9:33 PM? 4:16 PM What is 325 minutes after 1:23 PM? 6:48 PM What is 385 minutes after 6:51 AM? 1:16 PM How many minutes are there between 10:03 PM and 3:08 AM? 305 How many minutes are there between 3:29 PM and 10:19 PM? 410 How many minutes are there between 7:11 AM and 12:14 PM? 303 What is 532 minutes after 2:05 PM? 10:57 PM How many minutes are there between 3:44 PM and 12:39 AM? 535 How many minutes are there between 6:16 PM and 1:00 AM? 404 What is 54 minutes after 8:57 PM? 9:51 PM What is 628 minutes before 9:13 PM? 10:45 AM How many minutes are there between 4:37 AM and 1:32 PM? 535 How many minutes are there between 10:11 AM and 11:39 AM? 88 What is 303 minutes after 12:20 AM? 5:23 AM What is 296 minutes before 11:39 PM? 6:43 PM How many minutes are there between 5:48 AM and 5:52 AM? 4 How many minutes are there between 7:20 AM and 6:22 PM? 662 How many minutes are there between 4:31 AM and 5:10 AM? 39 What is 462 minutes before 4:07 PM? 8:25 AM What is 152 minutes before 11:48 PM? 9:16 PM How many minutes are there between 5:26 AM and 11:57 AM? 391 How many minutes are there between 12:07 AM and 7:32 AM? 445 What is 92 minutes before 10:51 PM? 9:19 PM How many minutes are there between 1:39 AM and 9:12 AM? 453 What is 223 minutes after 12:30 PM? 4:13 PM What is 587 minutes before 5:45 AM? 7:58 PM How many minutes are there between 1:42 PM and 11:27 PM? 585 What is 457 minutes before 10:18 PM? 2:41 PM How many minutes are there between 11:57 AM and 1:14 PM? 77 How many minutes are there between 1:34 PM and 9:50 PM? 496 How many minutes are there between 5:47 PM and 6:46 PM? 59 How many minutes are there between 4:53 PM and 10:06 PM? 313 What is 48 minutes after 6:49 AM? 7:37 AM How many minutes are there between 12:39 AM and 10:50 AM? 611 How many minutes are there between 2:08 PM and 10:00 PM? 472 How many minutes are there between 7:13 AM and 2:37 PM? 444 What is 675 minutes after 2:51 PM? 2:06 AM What is 172 minutes before 7:08 PM? 4:16 PM What is 704 minutes after 9:02 PM? 8:46 AM How many minutes are there between 8:20 AM and 1:23 PM? 303 How many minutes are there between 7:35 AM and 4:44 PM? 549 What is 628 minutes after 5:50 AM? 4:18 PM How many minutes are there between 12:28 PM and 2:35 PM? 127 How many minutes are there between 5:56 AM and 9:54 AM? 238 What is 617 minutes before 12:19 AM? 2:02 PM How many minutes are there between 3:28 PM and 7:32 PM? 244 How many minutes are there between 5:52 AM and 4:15 PM? 623 How many minutes are there between 12:02 AM and 4:39 AM? 277 How many minutes are there between 8:33 PM and 7:17 AM? 644 How many minutes are there between 6:08 AM and 1:12 PM? 424 How many minutes are there between 5:37 AM and 5:02 PM? 685 What is 643 minutes after 4:10 AM? 2:53 PM How many minutes are there between 2:22 AM and 3:22 AM? 60 What is 298 minutes after 12:50 AM? 5:48 AM How many minutes are there between 2:20 AM and 1:29 PM? 669 How many minutes are there between 7:29 PM and 4:59 AM? 570 How many minutes are there between 12:39 PM and 2:08 PM? 89 What is 652 minutes after 10:33 PM? 9:25 AM What is 355 minutes before 2:08 AM? 8:13 PM What is 667 minutes before 4:33 AM? 5:26 PM What is 132 minutes after 12:09 AM? 2:21 AM What is 630 minutes after 1:20 AM? 11:50 AM How many minutes are there between 10:02 PM and 5:05 AM? 423 How many minutes are there between 3:46 AM and 9:27 AM? 341 How many minutes are there between 11:29 PM and 6:14 AM? 405 How many minutes are there between 6:17 AM and 10:26 AM? 249 What is 454 minutes before 2:10 PM? 6:36 AM How many minutes are there between 7:48 PM and 11:48 PM? 240 How many minutes are there between 8:04 AM and 12:15 PM? 251 What is 203 minutes after 3:19 AM? 6:42 AM How many minutes are there between 2:21 PM and 4:03 PM? 102 What is 298 minutes after 7:41 PM? 12:39 AM How many minutes are there between 3:21 AM and 2:33 PM? 672 What is 553 minutes before 1:23 AM? 4:10 PM What is 570 minutes after 7:48 AM? 5:18 PM What is 173 minutes before 11:34 AM? 8:41 AM What is 556 minutes before 1:10 PM? 3:54 AM How many minutes are there between 1:01 PM and 7:39 PM? 398 How many minutes are there between 5:05 AM and 1:21 PM? 496 What is 374 minutes after 7:28 PM? 1:42 AM What is 520 minutes after 4:59 AM? 1:39 PM What is 152 minutes after 7:28 PM? 10:00 PM What is 156 minutes before 7:17 PM? 4:41 PM How many minutes are there between 12:38 AM and 3:34 AM? 176 How many minutes are there between 6:22 PM and 8:46 PM? 144 What is 51 minutes after 5:39 AM? 6:30 AM What is 704 minutes after 4:38 AM? 4:22 PM How many minutes are there between 4:41 PM and 10:25 PM? 344 What is 535 minutes after 12:01 AM? 8:56 AM What is 197 minutes after 4:39 AM? 7:56 AM How many minutes are there between 2:37 PM and 2:32 AM? 715 What is 591 minutes before 7:34 AM? 9:43 PM What is 588 minutes after 11:26 AM? 9:14
{ "pile_set_name": "DM Mathematics" }
x - 20. Calculate the remainder when 50 is divided by i. 11 Suppose -5*u - 4*d = -909, -3 = -6*d + 3*d. What is the remainder when u is divided by 46? 43 Calculate the remainder when (39/(-6))/(-13)*34 is divided by (-65)/(-7) + 2/(-7). 8 Let i = -221 + 237. What is the remainder when -1 - 1*(-46 + -2) is divided by i? 15 Let v(z) = -2*z - 2. Let n be v(-3). Suppose n*h - 90 = -h. Let t = 37 - h. What is the remainder when 37 is divided by t? 18 Let o(j) = -j - 2 + 4*j**2 - j + j. What is the remainder when o(2) is divided by 7? 5 Suppose u + 4*p - 22 = 5, u - 5*p = 45. What is the remainder when u is divided by 9? 8 Let w = -21 - -28. What is the remainder when 20 is divided by w? 6 Suppose 0*p + 4*p = -k + 205, 259 = 5*p + 4*k. Calculate the remainder when p is divided by 18. 15 Let h(g) = -10*g + 16. What is the remainder when h(-6) is divided by 20? 16 Let z(h) be the third derivative of h**4/8 - 4*h**3/3 - 3*h**2. Let r be z(6). Calculate the remainder when 45/r - 6/4 is divided by 2. 1 Let y(u) = -u**3 + 7*u**2 - 4*u - 7. Calculate the remainder when 9 is divided by y(6). 4 Let v(z) = 27*z**2 - z - 1. Suppose -5*u + 0*u = -4*h - 24, 5*h - u + 9 = 0. Calculate the remainder when v(h) is divided by 14. 13 Let h = -57 - -81. What is the remainder when h is divided by (-16)/80 - 92/(-10)? 6 Suppose -5*f - 22 = 3*m, 8*m - 5*m = -4*f - 17. Let x = 10 - -12. What is the remainder when x is divided by 14/2 - (-2 + m)? 6 Let s = 8 - 7. Calculate the remainder when 35 is divided by -15*(s + (-11)/5). 17 Let g(b) = 2*b**2 + b + 1. Let h be g(-3). Let q = -9 + h. Suppose 8 = 3*n - q. Calculate the remainder when n is divided by 2. 1 Let y = 63 + -35. What is the remainder when 81 is divided by y? 25 Suppose 0*z - 2*z = 2, 48 = 5*y + 2*z. Let r(n) = -n + 4. Let o be r(11). Let a(j) = 2*j**2 + 9*j - 6. Calculate the remainder when a(o) is divided by y. 9 Let m = -57 - -97. What is the remainder when m is divided by 14? 12 Let d = -6 + 18. Suppose -31 = -5*u - 6. Calculate the remainder when (-26)/3*(-18)/d is divided by u. 3 Let c(g) = -12*g**3 - g - 1. Suppose 5*d + 2*f - 100 = 0, 4*d - 2*f + 78 = 8*d. Calculate the remainder when d is divided by c(-1). 10 Suppose -78 = 3*g - 84. What is the remainder when g is divided by 1 - (-1)/(-1) - -2? 0 Suppose -4*p = -90 + 22. Let v(s) = 3*s**2 + 5*s + 3. Let w be v(-3). Suppose 4*k - w - 9 = 0. What is the remainder when p is divided by k? 5 Let n(p) = -24*p - 3. Suppose 13*b = 27*b - 336. Calculate the remainder when n(-4) is divided by b. 21 Let k(a) = -a**3 - 6*a**2 + 7*a. Let y be k(-7). Let c = 2 - y. Calculate the remainder when 3 is divided by c. 1 Let f = 25 + -10. What is the remainder when 56 is divided by f? 11 Suppose 0 = 3*i - 4 - 2. Suppose 3*x + 1 = -2*o, 0 = o - 2*o + x + 12. Let l = -5 + o. Calculate the remainder when i is divided by l. 0 Let n be 2*(2 - 3) + 0. Calculate the remainder when (n/(-6))/((-5)/(-90)) is divided by 4. 2 Let k(o) = -o**2 - 6*o. Let d be k(-9). Let r = d - -54. Suppose 0 = -5*j + 10 - 0, -62 = -4*m - 3*j. What is the remainder when r is divided by m? 13 Suppose -3*m - 5 - 4 = 0. Let i = 0 - m. What is the remainder when 7 is divided by i? 1 Suppose 3*v - v - 294 = -2*a, 0 = 5*v - 5. Suppose 4*l + 10 = a. What is the remainder when l is divided by 12? 10 Suppose 3*x = x + 36. Suppose -9 = -3*i, 0 = -5*g - 5*i + 4*i + 23. Calculate the remainder when x is divided by g. 2 Let s be (-1)/2 - 23/(-2). Let a be (s + -5)*42/4. Suppose -5*v + 325 = -2*k, -2*v - 2*k + a + 81 = 0. What is the remainder when v is divided by 23? 21 Suppose 0 = 5*s - 2*c - 2*c - 28, -4*c - 4 = -2*s. Let h = s - 2. Calculate the remainder when 16 is divided by h. 4 What is the remainder when ((-8)/5)/(-1 - (-87)/90) is divided by 14? 6 Let d be 3/3 + (1 - -1). Suppose -3*v + 54 = -d*i - 9, 25 = 5*i. Let h(z) = z**3 - 4*z - 1. What is the remainder when v is divided by h(3)? 12 Let c(a) = -a**3 - a - 3. Let s be c(0). Let u = s + -2. What is the remainder when 8 is divided by u*(2 - 3)*1? 3 Suppose -4*q + d + 2 = -3, 4*q + 4*d = 0. Let t be (-1 - 2)*1/3. What is the remainder when 41 is divided by t + q + (-21)/(-1)? 20 Suppose 3*u + 0*j + 2*j - 6 = 0, -3*j = -2*u + 4. What is the remainder when u is divided by 1? 0 Suppose 0 = m + 4*m - 5*b + 20, -2*m = 3*b - 2. Let i be 0*1*m/4. Suppose l + 0*l + x = 45, 4*l - x - 155 = i. What is the remainder when l is divided by 14? 12 Let m = -9 + -3. Let y be (-8)/(-5)*(-30)/m. Let b(h) = -h**3 + 5*h**2 - 2*h. What is the remainder when 14 is divided by b(y)? 6 Let i(s) = 2 + 0 - 8*s**2 - 4*s + 2*s**2 - s**3 + 2*s. Calculate the remainder when i(-6) is divided by 5. 4 Suppose -4*y = 2*y - 18. Suppose -5*w + 7 = -5*h - y, -4*h = 3*w - 27. What is the remainder when 5 is divided by h? 2 Suppose 96 = 10*q - 2*q. Calculate the remainder when 46 is divided by q. 10 Suppose -4*l + 19 - 3 = 0. Suppose -1 = l*i + 3. Calculate the remainder when 22 is divided by 6 + (2 - 1) - i. 6 Let a be (-13 - (1 - -2))*-1. Suppose -n + 5*n - a = 0. What is the remainder when 10 is divided by n? 2 Suppose -4*o + 182 = -c, -2*o = c - 122 + 34. Calculate the remainder when o is divided by 12. 9 Let w(n) be the first derivative of -n**2/2 + n - 4. Suppose 81 = 5*m + 6. What is the remainder when m is divided by w(-8)? 6 Suppose -12*u + 9*u + 588 = 0. What is the remainder when u is divided by 33? 31 Suppose 7*q - 115 = 144. Calculate the remainder when 147 is divided by q. 36 Suppose 0 = -3*u + 47 + 16. Let h(l) = -3*l - 3. Suppose 2*o - 3*o = 3. What is the remainder when u is divided by h(o)? 3 Suppose 4*y + 3*o - 197 = 0, -o + 98 = 2*y + o. Suppose 0 = 5*d - 0*d - 180. Suppose -h - 3 = 0, 7 - d = -j + 4*h. What is the remainder when y is divided by j? 16 Suppose 5*x + 4 = 9. What is the remainder when 3 is divided by x? 0 Let v(c) = c**3 + 6*c**2 - 9*c - 8. Let m(w) = 5*w + 2. Let g be m(2). Suppose -4*n - g = 16. What is the remainder when 11 is divided by v(n)? 5 Suppose 9 = 2*y + 5. Calculate the remainder when 10 is divided by y. 0 Calculate the remainder when (-2)/8 + 424/32 is divided by 7. 6 Let b = -3 - 3. Let h be b/24 - 1/(-4). Suppose q + 0*m = -3*m + 20, 2*m - 6 = h. Calculate the remainder when q is divided by 4. 3 Let c(q) be the third derivative of -19*q**6/120 + q**4/12 + q**3/6 - 4*q**2. What is the remainder when c(-1) is divided by 5? 3 Let t(j) = j**2 + 7*j - 4. Let o(q) = -q**2 + 6*q - 1. Let k be o(7). What is the remainder when 13 is divided by t(k)? 1 Let s(t) = -t**2 + 7*t + 5. Calculate the remainder when 19 is divided by s(6). 8 Suppose 4*h = -2*x - h - 15, 0 = 5*h + 25. Let v(k) be the first derivative of 2*k**2 - 6*k + 7. What is the remainder when v(5) is divided by x? 4 Let i(l) = l**2 + 20*l - 34. Calculate the remainder when 17 is divided by i(-22). 7 Let o(w) = 2*w**2 + 2*w + 9. Let g(t) = 2*t**2 + 4*t - 6. What is the remainder when g(-5) is divided by o(-2)? 11 Suppose 0 = -4*l + 2*l + 30. Let a = -6 + 32. Let i = -18 + a. Calculate the remainder when l is divided by i. 7 Suppose -5*u = -2*u + 45. Let k = u - -18. What is the remainder when k is divided by 1? 0 Suppose -37*g + 32*g = -165. Calculate the remainder when g is divided by 6. 3 Suppose 112 = 18*d - 32. Let n(o) = 14*o**3 + o - 1. What is the remainder when n(1) is divided by d? 6 Let j be -5*(-1 - 0)*1. Suppose -4*n = -j*n + 7. Calculate the remainder when 12 is divided by n. 5 Let q = 9 + 6. Suppose q = -3*m, 9*m = 5*y + 4*m - 250. Calculate the remainder when y is divided by 12. 9 Let u be (5/(-15))/(1/(-9)). Suppose -z - u*z + 32 = 0. Calculate the remainder when 23 is divided by z. 7 Let h(c) = 10*c**2 - 2*c - 1. Calculate the remainder when h(5) is divided by 40. 39 Suppose -19 - 11 = -l. Suppose -12 = -f + l. What is the remainder when f is divided by 11? 9 Let r = -5 + 14. Suppose 134 = 5*h + 3*a, 3*a + 0*a - 109 = -4*h. What is the remainder when h is divided by r? 7 Suppose 6*y - y = 0. Suppose -3 = 2*t - 5*u, 3*t - 2*u = -y*u + 23. Calculate the remainder when t is divided by 4/((-1)/(-1) + 0). 3 Let c = -352 - -520. Suppose -2*j - 3*j + 110 = 2*x, -4*x = -3*j - c. Calculate the remainder when x is divided by 12. 9 Let d = -16 + 22. Suppose 1 = y - 6. What is the rema
{ "pile_set_name": "DM Mathematics" }
789? 13115788.6 Calculate 0.13 - 15.242026. -15.112026 Calculate -100 - -4358230. 4358130 -4 - -142951116 142951112 Work out 4 + 4991408. 4991412 73666622 - 7 73666615 What is the difference between -472927 and -12274.1? 460652.9 Total of 3144.75021 and 12. 3156.75021 What is 9550 plus 601851? 611401 Calculate -15 - -4921235. 4921220 Add 0.2 and -4834901. -4834900.8 Add -217.8 and 0.2985. -217.5015 What is -8393 - -113.04733? -8279.95267 What is -149.6 - -3549? 3399.4 What is the distance between 231.4197551 and 3? 228.4197551 -43297.7 - -611 -42686.7 Total of -62 and -3543080. -3543142 Calculate 15 + 2622714. 2622729 Total of -8.69032 and -0.48. -9.17032 Calculate 446531700 + -0.05. 446531699.95 Add together 88 and 92398.8. 92486.8 Sum -1578111.9 and 0.2. -1578111.7 What is 40597661381 + 0.5? 40597661381.5 -0.2 + 2071326 2071325.8 What is the distance between -29888981 and -0.08? 29888980.92 14772 + -0.387301 14771.612699 What is -7582 + 0.639? -7581.361 -4922029 - 54 -4922083 Work out 0 + -103572.34. -103572.34 Calculate 93157 - 0.0539. 93156.9461 Add together -197 and -2.3263. -199.3263 What is 64.303 - 0.06191? 64.24109 What is -5085646 + 0.9? -5085645.1 469188 + -0.083 469187.917 Work out 0.356 + -374471. -374470.644 Put together 7617 and 1899.5. 9516.5 Work out -15.4 - 388498. -388513.4 Calculate -14187479296 + 0. -14187479296 What is 0.3 take away 231550.78? -231550.48 Add together -3.1304 and 0.071622. -3.058778 Sum 0.1 and 2.2411864. 2.3411864 What is 55 minus -355384083? 355384138 Calculate -5 - -137164484. 137164479 What is 861 - -33593? 34454 -5.8+-96791 -96796.8 -0.743547 + 17415 17414.256453 Add together -359 and -61121. -61480 What is the distance between -13.62 and -749032? 749018.38 What is -56401982 minus -40? -56401942 What is the distance between 0.3 and 4.4645944434? 4.1645944434 What is -683038639 - 115? -683038754 What is -0.3 less than -505730.23? -505729.93 What is -4111.039 less than 237? 4348.039 Work out -0.49046 + -239.1. -239.59046 What is the difference between -50.281134 and -2? 48.281134 What is 0.176077 less than 373.68? 373.503923 0.5 - 1631.481952 -1630.981952 What is 151.641756 take away 29? 122.641756 What is -524 + 9603? 9079 Work out -486.87 + -0.05688. -486.92688 427923 - 2.62 427920.38 What is -2629 take away -82143? 79514 What is -6.2 minus -10.9945137? 4.7945137 What is 0.2 less than -0.43897119? -0.63897119 0.0304+11326.75 11326.7804 Total of -2 and -75.22737. -77.22737 Work out 30765633 + 0.31. 30765633.31 What is -94.8472982 plus -2? -96.8472982 Add together 113 and 6283232. 6283345 Work out -78064.1 - 21. -78085.1 Calculate -2 - 1063729.95. -1063731.95 What is -346418 less than 10398? 356816 Add 0.29042 and -18692. -18691.70958 What is the difference between -0.0281 and -15.319? 15.2909 What is -0.5 take away 181268971? -181268971.5 Calculate -59 - -2.304. -56.696 Subtract 172 from -7564. -7736 Add together 42785 and -0.0318. 42784.9682 Calculate -3924.039 - 39. -3963.039 Sum -10424 and -233581. -244005 What is -1.3901881 take away 0.02723? -1.4174181 Sum 2223139 and -0.14943. 2223138.85057 What is 0.16 - -23111947? 23111947.16 Add -60 and 0.13766. -59.86234 Calculate -17116663 + -0.24. -17116663.24 Work out -8.66 - -0.13093. -8.52907 What is the distance between 0.3 and -37725162? 37725162.3 Work out -0.1 + -0.37404014361. -0.47404014361 What is 0.75769 less than -0.09726? -0.85495 What is -0.2 + 1842991.091? 1842990.891 -14683 - 0.0181 -14683.0181 What is 2860.7 take away 0.8147? 2859.8853 Subtract 56 from 6.8419. -49.1581 What is 122.51 plus -3898.7? -3776.19 What is -11.16339526 minus -1? -10.16339526 Add together 35370 and 114.65. 35484.65 Total of -24074 and -0.3807. -24074.3807 What is -267 take away -2864249? 2863982 Sum -0.1019275 and -33737. -33737.1019275 What is -61158 less than 2.9? 61160.9 Subtract 9.17 from -7.656167. -16.826167 What is -383374 plus 86? -383288 What is 62 less than -0.71002? -62.71002 Subtract 448 from -0.12031. -448.12031 What is the distance between 0.832110774 and 0.5? 0.332110774 Calculate -28 + -38071744.2. -38071772.2 What is 62 minus 979755? -979693 Total of 2 and 8.989652505. 10.989652505 What is the distance between -0.4 and -647019057? 647019056.6 What is -4 plus -98325? -98329 -17775.38+60 -17715.38 What is -43.13 less than -480.6? -437.47 Add together -5 and -124879.4228. -124884.4228 Calculate 58 - -1465.088. 1523.088 What is -1080022 plus -0.057? -1080022.057 Work out -14699 + -1581. -16280 What is 0.68295976 plus -3? -2.31704024 What is -579.22 - 87506.2? -88085.42 Put together 541.92 and -208412. -207870.08 What is the difference between 3346 and 3031? 315 What is -7227 + -0.0560251? -7227.0560251 -4 - 287717923 -287717927 What is 3.033 + 866909? 866912.033 578976+-0.04969 578975.95031 What is -76723531 take away -3? -76723528 Add -215 and -0.0735057972. -215.0735057972 0.1336 - -31886 31886.1336 -57074+21869 -35205 Calculate -107440 - 68.6. -107508.6 Calculate 1 - 52363.9017. -52362.9017 -0.288236 - 45.504 -45.792236 -79.158365 + 0.04 -79.118365 Put together 3 and -0.79753188. 2.20246812 Subtract 9.74 from 2.722921. -7.017079 Calculate 313 + -102956.9. -102643.9 What is 1 minus 0.136761888? 0.863238112 Work out 52295.682 + -0.1. 52295.582 Calculate -0.18 - 259434. -259434.18 What is 19655643 + 15.1? 19655658.1 What is 40.3 minus 2639032? -2638991.7 Add -277.049 and -0.0435045. -277.0925045 What is the difference between -10004 and -201450? 191446 Work out -294275759 - 8.9. -294275767.9 What is the difference between -0.1731326 and 195? 195.1731326 Calculate -1553652 + 702. -1552950 Calculate 41353 - 0.11524. 41352.88476 What is 0.0766 less than 2568757? 2568756.9234 0.5 + 152841.7 152842.2 What is -251.9 take away -0.1132132? -251.7867868 Add 24141 and 206271. 230412 Calculate -18.55796 - -22.22. 3.66204 Work out 0 - -12649638. 12649638 What is 52466.31966 minus -0.12? 52466.43966 Work out 0.4 + 0.03578509. 0.43578509 What is -1707.33 minus 554860? -556567.33 -1.0608672 - -0.96 -0.1008672 Add together -1726945 and 11. -1726934 276 - 33560 -33284 What is -8.6712821 + -3? -11.6712821 What is 6 minus 953782543? -953782537 Calculate 1.1 - -25785567. 25785568.1 What is the difference between 54064 and -1790? 55854 What is -3.69985971 take away 8? -11.69985971 What is -0.02456266 plus 22.34? 22.31543734 Sum 5 and 311348621. 311348626 Work out -40586 - -2229. -38357 What is 935.68386 take away -5? 940.68386 Subtract -0.36032819 from -1. -0.63967181 10+-723899.9 -723889.9 What is -1.5366026 minus 0.2? -1.7366026 What is -7.02926035 plus -8.1? -15.12926035 What is 13616 less than -31185? -44801 What is -0.4966 less than 164462? 164462.4966 Calculate -58 + 4997.4. 4939.4 12958923+-0.12 12958922.88 What is the difference between 21.3 and 0.33101? 20.96899 Put together -48.9 and 1788.678. 1739.778 1 + 84535413 84535414 Add -72844188376 and -2. -72844188378 What is -4566510541 - 4? -4566510545 Calculate 4 + -8.8335153. -4.8335153 0.051115 + -0.037 0.014115 20967 + 2175767 2196734 What is the distance between -2 and -146955467? 146955465 -53693 + -1338 -55031 Work out 144 + 43001376. 43001520 Add together -4520 and 652811. 648291 Subtract 41.15516 from -0.5. -41.65516 What is the difference between 7128765 and -4.446? 7128769.446 Total of 10.3 and -131.78823. -121.48823 What is -0.327 minus 97606? -97606.327 -10757389 + 2.948 -10757386.052 -3.11+-106448 -106451.11 What is -278426331 less than -125? 278426206 Work out -139.8 + 0.378721. -139.421279 What is 6873924 less than -0.3? -6873924.3 Subtract 1763.5 from 5.7755. -1757.7245 Put together -6613.221 and -3.3. -6616.521 1773494808 + -0.2 1773494807.8 What is -54596535 + -0.5? -54596535.5 -382370 + -44466 -426836 What is 0.5 + 595.4285? 595.9285 What is the difference between -0.6 and 730725.0922? 730725.6922 What is 21.41228 take away 5456? -5434.58772 Add together 1 and 17.374529. 18.374529 196.6 - -1.04813 197.64813 Calculate 0.12683 + 115. 115.12683 Subtract 5151912.8 from -2505. -5154417.8 What is -0.000893 minus -236721? 236720.999107 Calculate 16 - -844608. 844624 Calculate -11.54 + -9090.55. -9102.09 What is 1945 + 538? 2483 What is 110618 - -3817? 114435 Calculate 4775.44 + -0.42137. 4775.01863 Sub
{ "pile_set_name": "DM Mathematics" }
be the first derivative of -263*q**5/5 + q**3/3 + 529*q**2/2 + 742. Find the third derivative of o(m) wrt m. -6312*m Find the first derivative of 5*x**2 + 7 - 2*x - 662 + 272*x**3 - 5*x**2 wrt x. 816*x**2 - 2 Let y be (-4)/(-14)*21*1*(-4)/(-16). Let t(m) be the second derivative of 0 + 0*m**2 + 3/2*m**4 + 4*m + y*m**3. What is the second derivative of t(w) wrt w? 36 Differentiate 194*o - 878 - 61 - 664*o with respect to o. -470 Let w(o) be the third derivative of -493*o**6/60 - 273*o**3 - 91*o**2 + 6. What is the derivative of w(y) wrt y? -2958*y**2 What is the second derivative of -1145*w**4 + 0*w**2 + 0*w**2 + 3336*w + 1757*w**4 wrt w? 7344*w**2 Let o(b) = -53*b**4 + 857*b**3 + 5*b**2 + 30*b - 27. Let w(j) = 11*j**4 + j**3 - 5. Let v(s) = -o(s) - 5*w(s). Find the second derivative of v(p) wrt p. -24*p**2 - 5172*p - 10 Let t be 4698/108 + (-2 - 2/(-4)). Find the third derivative of -1071*k + 1071*k - 52*k**2 - 237*k**4 - t*k**2 wrt k. -5688*k Let w(k) = 811*k**2 + 15*k + 13. Let j(y) = -810*y**2 - 15*y - 9. Let x(p) = -2*j(p) - 3*w(p). What is the second derivative of x(o) wrt o? -1626 Differentiate 398*s + 312*s - 360 + 26*s + 689*s + 169*s with respect to s. 1594 Let s(o) be the first derivative of 0*o**3 + 166/5*o**5 + 0*o**4 - 97*o + 0*o**2 - 163. What is the first derivative of s(m) wrt m? 664*m**3 Let t(u) be the first derivative of u**5/5 + u**4/4 - 65*u**3 + 53*u**2/2 + 4700. Find the second derivative of t(h) wrt h. 12*h**2 + 6*h - 390 Let l(c) = -8*c + 19. Let g be l(3). Let f be g/(220/(-8)) - (-1076)/11. What is the first derivative of f + o**4 - 83 - 4*o**4 wrt o? -12*o**3 Let h = -929 - -1304. Find the second derivative of -i**3 - 377*i - 175*i**4 + h*i + i**3 + 156 wrt i. -2100*i**2 Let t(i) be the second derivative of 589*i**4 - 793*i**2 + 7656*i. Differentiate t(h) with respect to h. 14136*h Find the third derivative of 408631598 + 4049*d**5 - 408631598 - 3345*d**2 wrt d. 242940*d**2 Let j(z) = -778*z**3 + 5*z**2 - 27*z + 26. Let b(s) = 769*s**3 - 6*s**2 + 28*s - 26. Let w(x) = -5*b(x) - 6*j(x). What is the second derivative of w(t) wrt t? 4938*t Let l(p) be the second derivative of -1283*p**6/30 - 182*p**3/3 - 1019*p. What is the second derivative of l(y) wrt y? -15396*y**2 Let j = -1239 + 1245. Let s(b) be the second derivative of -6*b + 11*b**2 + 4/5*b**j + 0*b**5 + 0*b**4 + 0 + 0*b**3. Find the first derivative of s(l) wrt l. 96*l**3 Suppose -3*i + 3 = -3. Suppose 0*q = -q + 3. What is the second derivative of -15*v**q + i*v - 2*v - 7*v - 5*v wrt v? -90*v Let q = -89 + 92. Find the third derivative of -6*a**q - 3*a**3 - 77*a**2 + 36*a**2 wrt a. -54 What is the derivative of -621 + 3385*w - 347 + 1861*w + 171*w wrt w? 5417 Let a(i) be the first derivative of -12*i**5/5 + 19*i**4/4 + 433*i**3 + 1342. What is the third derivative of a(t) wrt t? -288*t + 114 Find the first derivative of -974*i**2 + 320 - 21*i**2 - 403*i**2 + 415*i**2 - 2094*i**2 wrt i. -6154*i Find the second derivative of 3*w**5 + 26864*w**4 + 9*w**2 - 27048*w**4 - 3*w**2 - 6*w**2 - 7631*w wrt w. 60*w**3 - 2208*w**2 Let d(j) = 2659*j**3 - 9*j**2 - 489*j + 45. Let b(w) = -665*w**3 + 2*w**2 + 122*w - 10. Let k(m) = -9*b(m) - 2*d(m). Find the second derivative of k(h) wrt h. 4002*h Let g(i) = 2080*i**3 - 21*i**2 - 21*i + 1388. Let r(w) = -693*w**3 + 6*w**2 + 6*w - 463. Let t(v) = 4*g(v) + 14*r(v). Differentiate t(a) with respect to a. -4146*a**2 Let w(q) be the second derivative of 17 + 0*q**2 - q - 21/4*q**4 - 31/3*q**3. What is the second derivative of w(a) wrt a? -126 Let a(b) = b**3 + 4*b - 5. Suppose 13*g = 12*g + 2. Let l be a(g). Find the third derivative of 2*d**2 + d**2 - l*d**2 + 15*d**3 wrt d. 90 Let p(b) be the first derivative of -b**3/3 + 5*b**2/2 + 8*b - 13. Let m be p(6). What is the derivative of y**2 + 3*y**m - y**2 - 4 - 5*y**2 wrt y? -4*y Suppose -2*z = 12 - 16. Suppose 2*d = 3*t - 61, 5*t + z*d = 49 + 74. Find the second derivative of t*f + 22*f + 5*f**5 - 42*f wrt f. 100*f**3 Find the third derivative of -63*a + 60*a - 8*a**3 + 23*a**2 + 7*a**3 + 4 - 4292*a**5 wrt a. -257520*a**2 - 6 What is the derivative of 6*d + 10054 + 81*d**2 - 12*d + 9452*d**3 - 260*d**2 - 9453*d**3 wrt d? -3*d**2 - 358*d - 6 Find the first derivative of 398 - 241 + 732*t**2 + 604 - t - 113 + 1211 wrt t. 1464*t - 1 Let j = -185 + 336. Find the third derivative of 306 - 149 - 3*h**2 + h**2 + 95*h**6 - j wrt h. 11400*h**3 Let k(u) be the first derivative of 207 + 0*u**4 + 0*u**2 + 4*u**3 + 70*u + 1/5*u**5. Differentiate k(g) wrt g. 4*g**3 + 24*g Let t = 51 + -16. Differentiate -13*b**4 - t - 38 + 31*b**4 wrt b. 72*b**3 Let j(u) be the second derivative of 520*u**4/3 - 1085*u**2 - u - 1172. Differentiate j(y) wrt y. 4160*y Find the second derivative of 19*l**2 - 18*l**2 + 1528*l**3 + 5*l - 67920 + 67974 wrt l. 9168*l + 2 What is the first derivative of 253*y**3 - 1414 + 2*y - 4*y - 82 + 5*y + 816 wrt y? 759*y**2 + 3 Let n(b) be the second derivative of 19*b**5/30 - 77*b**4/6 - 11*b**3/6 + 7*b**2/2 + 288*b. Let m(r) be the second derivative of n(r). Differentiate m(k) wrt k. 76 Suppose -120 = -2*x - 0*w - 2*w, 3*w = 3*x - 150. Find the second derivative of 3*y - 32*y**2 - 21*y**2 + x*y**2 - 2 wrt y. 4 Find the second derivative of -90*g + 91*g**2 + 16*g - 18 + 21*g - 2*g**3 + 17*g + 32*g wrt g. -12*g + 182 Let m = -220 + 1269. Suppose 0 = 4*j - 1227 - m. Find the third derivative of -13*z**5 + j*z**3 - 569*z**3 + 32*z**2 wrt z. -780*z**2 Let b(k) be the first derivative of -k**6/45 - k**5/6 - 5*k**4/6 - 29*k**3/3 + k**2 - 257. Let v(o) be the third derivative of b(o). Differentiate v(p) wrt p. -16*p - 20 Differentiate -261*l**2 - 227*l**2 + 1141*l**2 + 656 + l - 380*l**2 + 378 with respect to l. 546*l + 1 Suppose 3*g - 3*i - 13440 = 0, -3*g + 3*i - 2*i + 13434 = 0. What is the third derivative of 4477*k**3 - g*k**3 + 2*k**4 + 31*k**5 + 69*k**2 wrt k? 1860*k**2 + 48*k Suppose -l = -3*j + j + 11, 3*l - j + 18 = 0. Let w be 148 + 20/l + 5. Differentiate -3*h**3 - 144 + w + 4*h**3 - 2*h**3 with respect to h. -3*h**2 Let r(l) be the first derivative of 9*l**5/4 + l**4/6 - 4*l**3 - 15*l + 49. Let x(z) be the first derivative of r(z). Find the third derivative of x(w) wrt w. 270 Let m(s) = 8*s + 4. Let o be m(2). Suppose -5*y = -3*y + q - o, q = 5*y - 64. Find the first derivative of -y + 26 - 9 - 4*d**2 wrt d. -8*d Let y(a) = 5*a - 1. Let j be y(1). Suppose -5*b + 43 = 4*c, 2*b + 0*c - 34 = j*c. What is the second derivative of -124 + 63 - 6*p - b*p**3 + 61 wrt p? -66*p Suppose 112 = -5*m + 422. Find the second derivative of 22*y**4 - m - 2*y + y - 6*y**5 - 25*y**4 wrt y. -120*y**3 - 36*y**2 Let k(r) = -r**3 - 12*r**2 - 2*r - 21. Let d be k(-12). What is the second derivative of 3*w**4 + 2*w**d - 13 + 2*w**3 + 23 - 15 - 14*w - 30*w**4 wrt w? -324*w**2 + 24*w Find the third derivative of -724*m**2 + 2*m**5 - 2311*m**4 + 2307*m**4 - 1255*m**2 - 3*m + 3*m wrt m. 120*m**2 - 96*m Suppose 5*s - 190 = -2*b, -2*s = -b - 97 + 21. Differentiate s - 4*r**2 - 124 - 70*r**2 wrt r. -148*r Let i(b) = b**3 + 5*b**2 - 19*b - 11. Let k be i(-7). What is the second derivative of -84*g + k*g - 14*g - 26*g**3 + g wrt g? -156*g Let n(q) = -13*q**3 - 109*q**2 - 6*q - 1403. Let b(v) = -v**2 - 2*v - 1. Let r(f) = 3*b(f) - n(f). What is the derivative of r(c) wrt c? 39*c**2 + 212*c Let u(l) be the first derivative of 0*l**5 + 41 + 0*l + 0*l**2 - 8*l**6 + 73/3*l**3 + 0*l**4. Find the third derivative of u(x) wrt x. -2880*x**2 Let i be (-1 + -14)/(6/(-4)). Let l = i + -3. Find the second derivative of z + 12*z**5 + 2*z - l*z**5 wrt z. 100*z**3 Find the second derivative of -37*i + 33*i**4 - 308*i - 458*i + 9*i**2 wrt i. 396*i**2 + 18 Let p(f) be the first derivative of -2/3*f**3 + f**2 - 41/2*f**4 - 100 - 53*f. What is the second derivative of p(y) wrt y? -492*y - 4 Find the third derivative of -60*t**6 - 165*t**2 - 435*t**5 + 32*t**6 - 9*t**3 + 5*t**3 + 5*t**3 + 30*t**6 wrt t. 240*t**3 - 26100*t**2 + 6 Let j(l) be the third derivative of -13*l**7/70 - l**6/8 + 1855*l**3/3 - l**2 + 22*l - 1. Differentiate j(y) with respect to y. -156*y**3 - 45*y**2 Let q = 3235 + -6463/2. Let v(p) be the second derivative of q*p**3 - 15*p + 0*p**2 + 0 + 1/12*p**4. Find the second derivative of v(k) wrt k. 2 Let q b
{ "pile_set_name": "DM Mathematics" }
= -3*v + 21, -4*h = -a*v + v - 10 for h. 5 Let w(x) = x**3 - 27*x**2 - 29*x + 41. Let t be w(28). Let r be ((-8)/12)/(4/(-42)). Solve -q = -2*o + 2*q - r, 2*o + t = -3*q for o. -5 Let q = -56 + 29. Let x = -22 - q. Let y be -1 + 2 + x + -3. Solve y*v = -2*c - c + 9, v + 21 = 5*c for v. -1 Let v be 16/2 - (4 + -8 - -3). Let a(l) = 0 - 10*l**2 + 2 + l**2 + l**3. Let b be a(v). Solve -q - 3*w + 3 - 4 = 0, -2*q = -4*w + b for q. -1 Let o be (-54)/(-4) - 10/(-20). Suppose 4*a - 3*r = -0*r + 4, 3*a + o = -2*r. Let v = 6 + a. Solve -4*h - 4*l - 13 = 7, 0 = v*h + 5*l + 20 for h. -5 Let s(j) = 3*j - 3. Let a be s(2). Let q = -105 - -49. Let y = q + 59. Solve -2*m - y*v + 22 = a, -5*v = -4*m + 5 for m. 5 Let z be 3/5 - 44/(-10). Let s(h) = 6*h + 24. Let x be s(-5). Let v be x*3/(3 - 9). Solve -2*w - 4 = -4*n + w, -26 = v*n + z*w for n. -2 Let v = 1306 - 1306. Solve b + 11 = 3*i, 0*b - 2*b + 2*i - 10 = v for b. -2 Suppose 2*r + 98 = 4*r. Let x = r - 46. Solve -2*f = -4*z + 22, z + 12 = -0*z - x*f for z. 3 Suppose 12*f - 11*f - 1 = 0. Solve 5*h = -2*u - u - f, -3*h = -3*u - 9 for u. -2 Let i = 145 + -143. Suppose 2*a - 3*u - 55 = 0, -a + i*u - 3*u + 15 = 0. Solve 0*r = -4*r - b - 25, -a = r + 3*b for r. -5 Let f(k) = -k**3 - k**2 + 4. Let l = -29 + 29. Let p be f(l). Solve c - 4 = 2*c - 3*o, -c + 10 = p*o for c. 2 Suppose -4*c - q = -3*q - 76, 94 = 5*c - 3*q. Solve 3*m = -5*o + 40, -4*m = o - 9*m + c for o. 5 Let x(m) = 37 + m - 39 + 23. Let t be x(0). Solve 5*g + t + 9 = -4*l, 28 = -4*g - 4*l for g. -2 Let l(o) = -o**3 + 5*o**2 + 7*o - 1. Suppose -2*z + 0 = -12. Let d be l(z). Solve -2*p + 12 = f - d*p, 2*f = 2*p + 8 for f. 0 Let s(j) be the third derivative of -j**6/120 + j**5/10 + 7*j**4/24 + j**3/3 - 13*j**2. Let v be s(7). Solve 4*l - 3 - 2 = -t, -3*t + 15 = -v*l for l. 0 Suppose 39*a - 112 = 11*a. Solve -j = -a*l + 4, -3*j = 5*l - 2*l + 12 for j. -4 Let w(p) = -p**3 - 4*p**2 - 10*p. Let s be w(-4). Let y = -40 + s. Solve 3*n = -2*t - y*t - 5, -2*n = -2*t for n. -1 Suppose -5*x = 5*u - 35, u + 4*x + 42 = 4*u. Let k = 11 + -9. Let j = k - -1. Solve j*q - 4*m + 6 = -0, -5*q + 4*m = u for q. -2 Suppose 5*w - 4*u - 35 = -7*u, w - u = -1. Suppose -4 = -2*y - w*j, -4*y - 2*j + 3 = 1. Solve -2*l + 4 = -i, i = -4*l - y*l + 14 for l. 3 Let i(v) = 10*v**3 + 72*v**2 - 71*v - 1. Let y be i(1). Solve -10 = -2*f + 3*q, 12*f - 14 = y*f + 4*q for f. -1 Let d(l) = 0*l - 2 + 0*l + l + 4. Let j be d(2). Solve 5*a - 12 - 13 = 5*g, -4*g - j = 4*a for a. 2 Let m(w) = -105*w - 727. Let y be m(-7). Solve -4*j = -2*b - 8, 5*j - 7*j = -y for b. 4 Suppose 5*x - x = -3*n + 1, 3*x = 4*n - 18. Solve q = 0, n*v - q + 2*q + 12 = 0 for v. -4 Suppose 239 = -3*p - 2*n + 89, -2*p - 3*n = 100. Let k be (-180)/p - (-6)/(-10). Solve -5*t = -2*j - 1 - 5, -6 = 2*j - k*t for j. -3 Let v be 2 + (-7)/((-35)/15). Solve 5*j + 3*d = -v, -j - 14 = -d - d for j. -4 Let v = 1 + -14. Let y(o) = -o**3 - 12*o**2 + 14*o + 14. Let b be y(v). Let m be b/(-6) + 169/78. Solve 0 = -5*x + 5, 3*c + m*x - 3 = -16 for c. -5 Let w(v) be the third derivative of -5*v**4/24 - v**3/2 + 6*v**2. Let x be w(3). Let p = x + 18. Solve -4*i = u + 7 + 6, p = 4*u - 5*i - 11 for u. -1 Suppose 3*h = 7*h - 20. Suppose 37*q = 28*q + 81. Solve 2*t = -b - 2, 2*t = h*t + q for b. 4 Let g(r) = -r**3 - 43*r**2 - 156*r + 2. Let o be g(-39). Solve -c - 2*q + 1 = -3*q, 0 = 5*c + o*q - 12 for c. 2 Let a be (-3 + 3)/(-2)*-1. Suppose -2*t - 8 = 4*c, -4*t + 4*c + a*c + 20 = 0. Solve 3*y - 22 = -4*w - 6, -y - 8 = -t*w for y. 0 Let s(u) = u**3 + 12*u**2 + 36*u + 5. Let g be s(-6). Suppose 2*p - 89 = -p + z, -5*p - g*z + 175 = 0. Solve -b + 5*i - p = -3, 4*b = 2*i - 22 for b. -3 Let y = -26 - -66. Suppose 16*w - y = 8. Solve -3*b - q + 8 = 0, -w = -4*b + q + 3 for b. 2 Suppose 0*w + w + 5*f - 26 = 0, 2*f + 5 = w. Let p be 2/(-1 + 38/36). Solve -2*t - 5*j - p = -w, 0 = -t + 4*j + 7 for t. -5 Let f(s) = s**2 + 17*s + 20. Let h be f(-16). Suppose -h*y + 4 = -4. Solve -5*x = -3*v - 17, v + 5 = y*x - 2*v for x. 4 Suppose 0 = 9*z - 193 + 175. Solve -4*t = -z*i - 6*t + 14, 5*t - 11 = i for i. 4 Let j(u) = -647*u**2 - 4*u - 6 + 648*u**2 - 4 + 2. Let m be j(6). Solve 0 = 2*g + 6, -m*x + 0*g + 20 = -4*g for x. 2 Suppose 5 = 5*l, t - l + 20 = 19. Solve -3 = 3*m + 4*d, 3*m - 8*m + 4*d - 37 = t for m. -5 Let h be (-20 + 3 + 16)*(1 - 1). Let t(k) = -28*k**3 + k**2 + k + 1. Let s be t(-1). Let b = s + -15. Solve b = -c + 3*l, 4*c + 5*l - 14 + 2 = h for c. -2 Suppose -15*b + 3 + 12 = 0. Let j be 12/16*(b - (0 - 3)). Solve f + 11 = 3*a, -a - j*f = -4*a + 15 for a. 3 Let k be (-2)/3 - 11*(-3)/9. Suppose 0 = -k*x - 15, -3*t - 10 = -t + 2*x. Solve -4*v - 2*y - 10 = t, 0 = 5*v - 2*y + 18 - 1 for v. -3 Let c(q) = -2*q**2 - 25*q - 8. Let i be c(-12). Suppose -u = -4*s + 7, -3*s - s + 32 = i*u. Solve -m + 5 = 2*a - 5*a, -15 = -2*a - s*m for a. 0 Let d = 321 - 321. Suppose 0*z - 3*z = -12. Solve d = 5*v + r - 23, -z*v - r - 17 = -9*v for v. 4 Let u be -18*1/4*-2. Let p(z) = z**3 - 3*z**2 + 2*z - 8. Let m be p(4). Suppose m = 2*g - 10. Solve u = n + n - t, -3*n + g = -t for n. 4 Let v(n) = -n - 5. Let u be v(0). Let q be (-7)/u + (-6)/15. Suppose 4*i = 5*z + 20, z - i + q = -4. Solve -4*j - 4*o + 36 = -z*j, 4*o - 16 = 0 for j. 5 Suppose m + 2 = -6. Let d = m + 10. Let f be (9 - (3 - (-3 - -3))) + -4. Solve -d*c - f*p = 3*c + 26, -2*c - 5 = -p for c. -4 Let w be (-1)/3 + (-28)/(-12). Let t be (0 - -6) + (0 - w). Solve 2*s - 4*a = -t, 0 = -s - 0*a + a for s. 2 Suppose -5*k = 4*i + 83, 5*k + 66 = -2*i - i. Let s = i - -30. Solve s + 5 = 5*b + 2*q, -5*b - 4*q = -26 for b. 2 Let b(g) = -g**2 + 70. Let w be b(8). Let k be (w - 12)*(-1)/2. Solve 4*d = 4*n + 20, -d = -3*d - k*n + 10 for d. 5 Suppose m - 10 = -8. Solve -4*h + 3*h - d = 2, m*d = -h + 1 for h. -5 Let q be (8/10 + 2)*5. Let a be ((-28)/(-2))/(6 + -4). Suppose a*f = 5*f + q. Solve -3*l - z = -f*l + 5, -3*z = 3*l + 15 for l. 0 Let u be 55/4 - 2/(-8). Let j = 49 - 51. Let z(y) = 2*y**2 - 6. Let s be z(j). Solve 0*i - 3*i - s*c + u = 0, 5*c = i + 18 for i. 2 Suppose 3*y + 88 = 11*y. Suppose y = -5*h + 26. Solve z = 5*c + 4 - 1, -h*z - 1 = -5*c for z. -2 Suppose -44*t = -42*t - 12. Solve -v + 4*l + 9 = 0, -2*v + 2*l + 0*l + t = 0 for v. 1 Let y = 0 - -5. Let d(g) = -y - 17*g + 4*g**2 + 12*g - 3*g**2. Let u be d(6). Solve 10 = 2*h + 4*r, u = -h + 5*r + 6 for h. 5 Let i be 15/(-15) - (0 - 20). Solve -20 = 5*s + 2*y, -4*s - i = 4*y + 9 for s. -2 Suppose 5*p + 0*p - 20 = 5*n, 12 = 3*n + 3*p. Let c(g) = -g**2 + 2*g + 4. Let j be c(n). Solve -4 = -m - 4*d, -5*m + 3*d - 7*d + j = 0 for m. 0 Let c = -6 + 10. Let m = 52 + -50. Suppose 3*x = 5 - m. Solve 4*z - 4 - 4 = -c*n, -4*z - n - x = 0 for z. -1 Suppose 0 = -6*t + t + 15. Let x be 8/2 - 5 - 3. Let p(v) = 3*v**2 + 5*v. Let b be p(x). Solve 5*h - d + b = 0, 2*h = -d - t*d + 2 for h. -5 Let y be 7/14*-2 + (1 - -4). Suppose -5*f = 3*z + 19, 0*z + y*f = -z - 18. Solve 2*k - 5*h = 10, 0 = k + z*h - 5*h - 6 for k. 0 Let b(i) = -11*i - 15. Let u be b(-8). Let x = u - 71. Solve 3*l = 2*d - 4, x*l - 4 = 2*d - 8 for l. 0 Let h be -2 - 3/(12/(-20)). Suppose 2*m - 140 = -h*m. Suppose -8 = 10*k - 38. Solve -x - m = -5*a - 5*x, x - 14 = -k*a for a. 4 Let y(h) = h**2 - h + 3. Let w be 0/((-4)/4 + 3). Let f be y(w). Solve 25 = -5*d, -2*x + f*d - 5 = -28 for x. 4 Let i(t) = 10*t + 45. Let h be i(-4). Suppose -h*d - 116 = -126. Solve -19 = -3*c - 2*w, -2*c + 3*c - w = -d for c. 3 Suppose -20*h + 21*h - 109 = 0. Let z = -104 + h. Let t(o) = o**2 - o + 4. Let f be t(3). Solve -3*c + 0*j = 2*j - f, 0 = j - z for c. 0 Let f(a) = a**3 - 7*a**2 + 13*a - 12. Let h be f(5). Suppose -h*j + 9 + 3 = 0. Solve -4*p + 5*k - 28 = 0, 7*p = 4*p + j*k - 22 for p. -2 Suppose -4*k + 18 = -5*h, -16 = -2*k + 2*h - 3*h. Suppose 5*g = 7*g - 3*r - k, -5*r - 15 = -5*g. Solve -g*z = b + 7, -3 = -4*z - 23 for b. 3 Let v(g) = 26*g - 256. Let c be v(10). Solve -4*b - 7 = 3*n - c*n, 4*n - 3*b - 15 = 0 for n. 3 Let k be (1 - -2)/30 - (-156)/40. Solve -4*p + 0*w - k*w + 8 = 0, 0 = 5*w for p. 2 Suppose -p = 5*w - 797, -w + 154 = p + p. Suppose -2*j - 22 = 4*k - w, -4*k = -2*j - 126. Suppose 3 = -5*t + k. Solve 5*r + 25 = v, -v = -t*r + 3*r - 17 for r. -4 Let d = -1326 + 1328. Let z = 3 + 2. Solve -5*q + 1 + 2 = -r, -9 =
{ "pile_set_name": "DM Mathematics" }
. f**(-1085843/68670) Simplify m**2*m*m/m**1*m**(-3)/m**(-7)*(m/m**1)**(2/35)/(m**2/m**3) assuming m is positive. m**8 Simplify ((i**18*i)/(i*i/((i**(-25)/i)/i)))/(i**16*(i*i**(-11))/i) assuming i is positive. i**(-15) Simplify (((j**(2/5)*j)**(-2/9)/(j/j**4*j*j*j**(2/9)*j))**(-20))**(1/4) assuming j is positive. j**(8/3) Simplify (((x**(-1/6)*x*x)/x)/(x/x**(-1/8))*x**1/x**(3/2))/(x**(-9)*x**(-8)*x)**(-31) assuming x is positive. x**(-11923/24) Simplify ((t/(t**36*t))**7/(t/t**(1/6)*t)**(2/45))**(-9) assuming t is positive. t**(34031/15) Simplify ((g*g**0/g)/g*g/(g**(9/2)/g)*(g**(2/19))**(4/25))**35 assuming g is positive. g**(-23163/190) Simplify (((x/x**(-27))/(x**(-11)/x))/(x/(x/((x*x**28)/x))*x**(-33)))**(17/3) assuming x is positive. x**255 Simplify (s/s**(2/49)*s**25*(s/(s/(s/((s*s**9/s*s*s*s)/s)))*s)/((s*s**(2/7))/s))**5 assuming s is positive. s**(4085/49) Simplify ((a/(a*a**(-3/4)))**21*a**(-4/7)*a/a**(-2/11)*a)**(-43) assuming a is positive. a**(-229921/308) Simplify (((o/(o**(-2/9)/o)*o/o**(4/5))/(o*o**(-1/5)*o)**(7/5))**(-50))**(-1/10) assuming o is positive. o**(-22/45) Simplify ((q*(q/(q/q**1))/q*q*q)**(-34)/(q/q**(-1))**(-31))/((q**(-1)*q)/(q/(q/((q**(-5)*q*q*q)/q)*q*q)))**(8/13) assuming q is positive. q**(-560/13) Simplify ((b**(1/2)/b)**26*b**(-3/5)/b*b/b**(2/5)*b)/((b**1)**(1/65)/(b**(1/4))**5) assuming b is positive. b**(-3059/260) Simplify ((g**(2/5)/g)**(-39)*g*g**(-3)*g*g*g*g*g*g**1*g)/(g/g**(-2)*g**(2/5)*g*g**(4/3)/g*g*g*g**(1/2)) assuming g is positive. g**(127/6) Simplify (j**(2/7)/(j/(j**(2/9)*j)*j))/(j**(4/3)/((j/j**4)/j))*(j/j**(-3))/j**(-2)*j**(-5)*j*j**6 assuming j is positive. j**(137/63) Simplify (((y*y*y**(1/6)*y)/y)/y*y*(y**(5/2)*y)/y*y**(2/11)/(y/(y**6*y)))/((y/y**(1/3))**(-49)/(y**4/((y/(y**(-5)*y))/y))) assuming y is positive. y**(1436/33) Simplify ((s**0)**(2/73))**(-5/3)*((s/((s**0/s)/s))/(s*s**(-2)))/((s*s**(-4/9))/(s/(s*s/(s*(s**(-1/4)/s)/s)))) assuming s is positive. s**(43/36) Simplify ((b/b**(-9))/(b**(1/8)*b)*b**(3/7)*b/(b*(b/(b*b/(b/(b/b**8*b)*b)))/b))**(-45) assuming b is positive. b**(-8325/56) Simplify v**(-6)/(v*v/(v*v/v**1)*v)*(v**(-1)*v)**(4/39)*(((v**(-2)/v)/v)/(v*v**9*v))**35 assuming v is positive. v**(-533) Simplify ((o/o**(1/26))**(6/17)/(o**(3/25)/(o*o**(2/73))))**20 assuming o is positive. o**(2011404/80665) Simplify ((p*p**1)**(-6)/(p*p*p**(2/3)*p*p**(-5)))/(p**(-2)/(p*p**(-7)))**(-5/6) assuming p is positive. p**(-22/3) Simplify (l/(l/l**1*l))**(-8)*(l/(l**(2/3)*l))**36*(l/(l/l**1)*l*(l/(l/l**(-4/7)))/l)/(l**(-2)*l/(((l*l*l/((l**1/l)/l)*l)/l)/l)) assuming l is positive. l**(-137/7) Simplify (((g*g/g**(2/17))/g**1)/(g/(g**(-2/11)/g)*g**(4/7)))/((g/(g/(g*g**(-3)*g*g)*g))/(g*g/(g*g**1)*g)*g**(-2/3)*g**(-2/15)) assuming g is positive. g**(6081/6545) Simplify ((s*s/s**(-1/3)*s)/s*s*s)**(-5/14)/(s**5/s**(2/7))*s*s**(2/5)*s*s**(2/25)*(s/s**(2/7))**(-3/5) assuming s is positive. s**(-4421/1050) Simplify (b**(1/13)*b*b*(b*b*b**27*b)/b*(b*(b/(b*b*b/b**(-13)))/b)/(b/((b**(4/17)*b)/b*b)))**(-12) assuming b is positive. b**(-43260/221) Simplify ((u/u**(-6))/((u*u**3)/u))**(-18)/(u/u**(-7)*u/((u**(1/15)*u)/u))**(-2) assuming u is positive. u**(-812/15) Simplify ((a*a**0*a*a**(-38)*a)**(-24))**35 assuming a is positive. a**29400 Simplify (g*(g/(g/(g/(g/(g*g**(-1/5)/g*g)))))/g*(g/(g/g**6))/g*g)**(5/3)*(g**(-5/7)*g**1*g)**(-24) assuming g is positive. g**(-410/21) Simplify ((r**(-10)/r)**(-38)*(((r/(r/(r*r**(-2/5)))*r)/r)/r)/r**(-13))**17 assuming r is positive. r**(36601/5) Simplify ((k**(1/5)/k**(-5))/(k**2/k**(2/13)))/(k*k**(-1/8)*(k*k/(k*k**(-2/7)))/k*k*(k**(-6/5)/k)/(k**2/k)) assuming k is positive. k**(15991/3640) Simplify ((x**4/x)**(-24)/((x**13/x*x)/x)**(-5/12))**(-18/11) assuming x is positive. x**(1206/11) Simplify x**(-1/2)/(x*x/x**(-2/3))*x**(6/5)/(x**1*x)*x**(-3/2)*x**5*((x**(-1/3)/x)/x)**(-48) assuming x is positive. x**(1673/15) Simplify b**(-27/7)*b*b*b**(6/5)/b*b*b*b**(-26)*b/(b**13/b) assuming b is positive. b**(-1283/35) Simplify (i**3*i**(10/9))**(-16)*(i/i**(-1/14))/i**(-2)*(i**(3/4)*i)/(i/(i/(i*i/(i**(-3/10)*i)))) assuming i is positive. i**(-78443/1260) Simplify (s**(-2/7)/s)**(-37)*(s/(s*s*s**(-3/7)))/s*s**(1/6)/s*s**(-2/3)/(s/s**(2/11))*s/(s**(-1)/s)*s**(-1/2) assuming s is positive. s**(508/11) Simplify (w**(1/3)*(w*w**(-3/2))/w*w)/((w/(w/(w/(w/(w**(-1/5)*w*w)))))/w**(-1))*(w**(-4/3)/w*w*w*w**(-1/7)*w)/(w**0*w**(-3)/w) assuming w is positive. w**(109/70) Simplify ((z*z*z/(z*z/z**1))**48)**31*z**2/z**(-2/3)*z*z/((z/(z**(-3/7)*z*z))/z)*(z**(-1/2)/z*z)/z assuming z is positive. z**(125191/42) Simplify ((t**(1/4)/t**(-2))/((t/(t/(t/t**0)))/(t**(-4)*t)))/((t**(-3)*t**(3/2))/(((t*t**(-4/9))/t)/(t*t**(-5)*t))) assuming t is positive. t**(83/36) Simplify ((y**(-14)*(y*(y*y**12/y*y)/y)/y)/(y**(17/5)/(y/y**(-3))))**(-1/3) assuming y is positive. y**(7/15) Simplify ((((i/(i/i**(-2/5)*i)*i)/i)/i)/i**(-4/9))**(12/7)*(i**(-2/3))**(-39)*i**(2/7)*(i/(i*(i*i/i**(-2))/i*i))/i assuming i is positive. i**(269/15) Simplify (t**(-1/2))**(2/31)*t**5/t*t**5*((t**(-2/7))**0)**(-13) assuming t is positive. t**(278/31) Simplify (((t*t**2*t*t*t*t)**(-37)/(((t**(-5)*t)/t)/t**9))**(12/11))**(-1/4) assuming t is positive. t**(735/11) Simplify (((m/((m/(m**(3/2)/m))/m))**30)**(-9/7))**(-2/11) assuming m is positive. m**(810/77) Simplify ((t*t**(4/9))/t*t*t**5)**(1/3)*(t/(t/t**(-1/3))*(t/t**(2/23))/t)**15 assuming t is positive. t**(-2581/621) Simplify (k**(-1))**(-39)/(k**(-1/3)*k)**47*(k/(k/(k/k**(4/5)))*k**(2/11))/(k**(-1))**21 assuming k is positive. k**(4793/165) Simplify (p**5*p/p**(-5))/(((p**(-1/6)/p)/p)/(p**(-6)/p))*((p/(p/(p/(p*(p**0*p*p)/p)*p)))**(2/15))**29 assuming p is positive. p**(37/6) Simplify (((p**4/p)/p)**33/((p*p*p**(-6/13))/p*p)**(-2/155))**(5/4) assuming p is positive. p**(66515/806) Simplify (w*((w**(-10)/w)/w)/w*w**35)/(w**(2/23)/((w/((w/w**22)/w))/w)) assuming w is positive. w**(1033/23) Simplify (((h*h**(-2/5))/(h**30/h*h))/((h/(h**(-1/4)*h))/(h**18/h)))**(4/9) assuming h is positive. h**(-253/45) Simplify ((z**(-14)/z)**(-26)*(z*z**(-12/13)/z)**17)**22 assuming z is positive. z**(107052/13) Simplify ((u**(-2)*u**(1/5))/(u**(-1))**(7/4))/((u/(u*(u/(u/u**(2/5)*u))/u)*u)**(-3)*(u*u/u**(-1/3))/u**(4/5)) assuming u is positive. u**(373/60) Simplify (q**(-1/4)*q/(q/q**(-1/4)))**32/(q/(q/(q/(q*q**(-2/5)*q)))*q*q**1*(q**(2/5)/q)/q**(-3)) assuming q is positive. q**(-99/5) Simplify (((g/g**9)/g)/g**1)/(g**(-2/9))**20*((g/(g/g**(-4)))/(g**(-2)*g))**(-6/11) assuming g is positive. g**(-388/99) Simplify (m*(m**6/m)/m*m*m**(-16))/((m*m**(3/4))/m)**(-8) assuming m is positive. m**(-4) Simplify ((((q/q**4)/q)/q)**(4/29))**32/((q**9/(q/(q*q*q**8*q*q)*q))/(q*q*q*q**0/q)**(-33)) assuming q is positive. q**(-3105/29) Simplify ((n**(1/6)/((n*(n**7*n)/n)/n))/(n**(-1))**5)/((n**3*n**(3/5))/(n**(1/7)*n*n**(4/9)/n*n)) assuming n is positive. n**(-2423/630) Simplify ((b**(-1))**(-14))**(-2/59)*b**(-1)*b*b**(-2)*b**(1/3)*b**5 assuming b is positive. b**(506/177) Simplify (((r**(-3)*r/(r/(r/(r/r**8)))*r)/(r*(r*r*r**0)/r)**(-29))**(-13))**(-1) assuming r is positive. r**832 Simplify (k/((k*k**(-1)/k)/k))**(-10/7)/(k**(-4)*k**(-1/4))*((k**(1/3))**18)**23 assuming k is positive. k**(3863/28) Simplify (((x**(5/4)*x)/(x**(1/11)*x))/(x*x/(x/(x**(-4/7)*x))*(((x/(x*x**(-1/2)))/x)/x)/x))**(-13/4) assuming x is positive. x**(-8931/1232) Simplify (y**(-1))**(-3/19)/(y**(2/3)*y**(-2/25))*y**7*y*y*y**(-2/9)*(y**2)**(4/19) assuming y is positive. y**(37492/4275) Simplify (o/o**(-8)*o**(2/3))**(-11/4)*(o**(-9)*o**8)**26 assuming o is positive. o**(-631/12) Simplify ((b*b**(-1/3))**(4/9))**42/((b/b**(1/3))**(3/4)*(b*b**1)**(2/83)) assuming b is positive. b**(17773/1494) Simplify (((j**(4/7)/(j*j/(j**(-10)*j)))/((j/j**(-1/4))/(j/(j**(-8)/j))))**(2/3))**(-35/4) assuming j is positive. j**(235/24) Simplify (g*g**(-2/11)*g*g**(2/9))**(-6/35)/((g**1/g)**(1/33)/((g**(3/4)/g)/g**2)) assuming g is positive. g**(-12011/4620) Simplify ((n**(-2/7)*n)/(n*n*(n/(n/n**(-6)*n))/n))**42*(n*n*n*((n**(-1/10)/n)/n*n*n)/n*n**(2/9))**32 assuming n is positive. n**(15746/45) Simplify v**(-4)/(v/v**(-7/4))*((v*v**(-1/8))/v*v)/(v*v*(v*v**8)/v*v*v)*(((v*v**10*v)/v)/(v**(-10)/v*v))**(-38) assuming v is positive. v**(-6527/8) Simplify (c**(4
{ "pile_set_name": "DM Mathematics" }
: p or 0? p Let t be (-2)/(-3) + 2/6. Let i be (0 - t) + (-6)/(-7). Let x = 2 - 3. Is i smaller than x? False Let a = 3 - 4. Let h be a*(0 + 1) - 0. Let j be 4/(3 - -1)*-4. Is h greater than j? True Let f = -0.034 - -9.034. Is f greater than or equal to -0.2? True Let n(w) = -2*w**3 - 2*w**2 - w + 2. Let f be n(1). Are -3 and f equal? True Let i = 42 - 42. Which is greater: i or -4? i Let c = 0.7 + -0.56. Is -3 less than or equal to c? True Suppose 0*l - 5*u = 3*l - 17, -1 = -u. Suppose -2*m + 12 = -l*c, -2*m - 3*m = -5*c - 40. Let j be 4/m - (-10)/(-25). Are j and -1/3 unequal? True Let v be (44/10)/((-17)/85). Is -22 bigger than v? False Let v(o) = -2*o - 13. Let a be v(-8). Let f be 2 - (-1 + (-4)/10). Which is greater: f or a? f Suppose 2*l - 4 = 2, -l - 2 = -5*j. Let z be (j - 11)*(-8)/10. Is z less than or equal to 8? True Suppose w = 4*w - 12. Let q = w - 1. Is -1/3 <= q? True Let x = -848 + 19516/23. Which is smaller: 2 or x? x Suppose 10 = c - 2*h, 5*c - 19 - 19 = 4*h. Which is bigger: 14 or c? 14 Let c be 18/((32/(-28))/1). Are -17 and c equal? False Let w be 0/(-2) + (-2)/(-7). Let u(n) = -3*n + 5. Let i be u(0). Are w and i unequal? True Suppose -3*h + 11 = 5*g, 5*h - 9 = 2*g - g. Let m be (8/(-6))/(4/(-6)). Suppose -h = -m*v - 0. Is -1/10 at most as big as v? True Let i = 10 + -6. Suppose -d + q - i = 5*q, 4*q + 4 = -3*d. Does -1/15 = d? False Let o be 1*(2 - 4) + 4 + 0. Let l = 1 - 1. Is l != o? True Suppose 0 = -3*o + 5*f - 20, -4*o + 0*f - 23 = -3*f. Let a = -11/2 - o. Is 0 at most as big as a? False Let w = 3.9 - 3.9. Is w greater than 0? False Suppose -3*l - l = 3*w + 6, -2*w - 4 = 4*l. Suppose 2 = n - l*n. Let a be ((-4)/16)/((-3)/36). Which is greater: a or n? a Let c be 2/(-5) - (-36)/(-10). Is c greater than or equal to -3? False Suppose 0*t + 2*t = -5*n - 9, 0 = 3*n + 15. Let l be 10/8 - 2/t. Is l at most -2/11? False Let p = -290 - -203. Let m = p + 171/2. Which is smaller: m or 1? m Let z = 195 + -1757/9. Is z < 1? True Let h = -10 + 26. Let m = -10 + h. Suppose 0 = -2*d - d + m. Which is bigger: 1 or d? d Suppose m + 6 = 11. Is 7 less than m? False Let o = 1009485079/1821963 + -1/58773. Let l = -554 + o. Which is smaller: 0 or l? 0 Suppose 0 = 5*a - 2*q + 51, q - 17 = 5*a + 36. Let b be (-1)/(48/44 + -1). Is b not equal to a? False Suppose 4*w - 2 - 9 = b, w = 3. Let a = 2 - 0. Which is smaller: a or b? b Let d(y) be the first derivative of y**3/6 - 4*y**2 + 2*y + 3. Let o(w) be the first derivative of d(w). Let g be o(6). Which is greater: g or -3? g Let h be (-16)/(-28)*42/(-12). Let v be h/(-10) + 186/120. Let z be ((-3)/(-9))/(4/3). Which is smaller: z or v? z Let z = 102 + -63. Which is bigger: z or 0.1? z Let r be (-29)/(-33) + 2/(-6). Which is greater: 2 or r? 2 Let k be (-2*9/(-4))/((-15)/(-20)). Suppose -4*l - 1 = -q - 6*l, l + 10 = 3*q. Suppose q*j = 0, 0 = 3*t - 3*j - 20 + 5. Is k at most as big as t? False Suppose -2*c + 4*h + 12 = 2, -5*h = 15. Does c = -6/17? False Let t(l) = 3*l**2 - l - 9. Let h be t(3). Is h at least 14? True Suppose 5*w - 15 = a, -2*a + 4*w = w + 2. Is 6 greater than a? True Let b be (-4)/(-2) + 4 + -9. Let w be 0 + (b + 0 - -3). Let d be (w - 0)/(-3 + 4). Is d at least 2? False Let r be (-10)/15*478/3. Suppose -3*i - 4*d = 2*i - 542, 4*i = 3*d + 415. Let a = i + r. Is 0 <= a? False Let c be 7/(-1) - (-7 - -2). Which is smaller: -14 or c? -14 Let q be ((-20)/30)/((-2)/12). Are 14 and q nonequal? True Let u = 1 + -8. Which is bigger: 0 or u? 0 Suppose -5*v + 10 + 0 = 0. Let i be 0 - (-4 + 3 - v). Do 3 and i have the same value? True Suppose 5*t + 191 = 2*w, w + 2*w + 3*t - 339 = 0. Let l be 105/w + 4/(-18). Let b = -70/9 + 8. Is b <= l? True Suppose -a = -5*a + 8. Let u = 75 + -45. Let w be (-1 + -2)/(u/(-20)). Is w >= a? True Suppose -5*f - 5 = -z - 2*f, 15 = -3*z + 3*f. Is -9 <= z? False Let u = 11.02 + -11. Which is bigger: u or -2/9? u Let o(d) = -d**3 + 5*d**2 - 3*d. Let s be o(4). Are 5 and s non-equal? True Let d = 1 + -5. Suppose -17 = 4*j + 3*k + 15, -j - k - 9 = 0. Let t = j - d. Which is greater: t or 3/7? 3/7 Let x(k) = 5*k**2 + 7*k - 5. Let s(u) = -u**2 - u + 1. Suppose 2*o - 5 = 7. Let l(r) = o*s(r) + x(r). Let a be l(0). Is -1/8 < a? True Let m(w) = w**3 - 7*w**2 + 5*w + 4. Let c be m(6). Let t = c + 3. Let r = 68/5 + -617/45. Which is bigger: r or t? t Suppose 5*x + 31 = -4*a, 10*x + 30 = 5*x - 5*a. Suppose -4*r + 1 = 21. Let m = r - x. Is m != 2? False Suppose 5*f - 30 = -g + 6*g, 3*g = -4*f + 17. Let t = -49 + 73. Let b = -314/13 + t. Do b and g have the same value? False Let g be (160/12)/(2 - (-5)/(-3)). Is 41 less than or equal to g? False Let m = -5/2 + 5. Which is smaller: 4 or m? m Let v(m) = -m - 8. Let w(c) = 4*c + 4. Let h be w(-3). Let p be v(h). Suppose -21 = -p*r - 5*r + 2*z, 0 = 4*r - 5*z - 27. Is 3 greater than r? False Let k = -757/3 - -255. Which is greater: 1 or k? k Let t = -12.7 + -2.3. Let k = -16 - t. Do 2 and k have the same value? False Suppose -4*x - 3*m = -2 - 0, 3*x + 3*m = 0. Suppose -x*t = -f - 11, 0 = -f + t - 6*t + 17. Let i = -2 + f. Is -7/2 smaller than i? False Let w(r) = 2*r**2 - 18*r + 42. Let q be w(6). Suppose 3*o - 21 = -4*f + 5, 0 = 4*f - 8. Is o at least as big as q? True Suppose 0 = d - i + 3, 4*d + 0 + 16 = 3*i. Which is bigger: d or -3? -3 Suppose 3*h + h - 16 = 0. Are h and 22/7 equal? False Let h(j) = -j**2 + 5*j + 1. Let c be h(5). Suppose -82*w = -84*w - 4. Which is greater: c or w? c Let m be (-3)/12 - 24827055/(-756). Let u = -32840 + m. Let y = u - 1/18. Is y less than 0? True Let u(m) = -10*m. Let f be u(-3). Let z = f - 61/2. Do z and 0.6 have the same value? False Let x be 60/(-52) - 6/(-39). Is 0 > x? True Let z(a) = -4*a**2 + 2*a**3 + 2*a**2 + 1 + 3*a - 6*a**3. Let i be z(3). Let f = 467/4 + i. Which is bigger: f or 0? f Let y = 48 - 239/5. Let o be 1/4*4/(-5). Which is bigger: y or o? y Let y = 16/13 + -187/78. Which is smaller: y or 3? y Let s = -52 - -51. Let v = -139 + 2083/15. Which is smaller: v or s? s Let g = -44 - -43.89. Let j = 1 + -0.99. Let n = g + j. Do n and -1/6 have the same value? False Let g = -0.02 - 4.98. Let y = -14 - -8. Let w = y - g. Is -0.2 less than w? False Let i be (-2)/(-1)*5/6. Let u be (-4 - -5)/(2/(-12)). Let j be (-2)/u*(5 - -1). Which is smaller: i or j? i Let n be 0/(-2) + (-4)/2. Suppose -2*y + 6*q - 15 = 3*q, 4*y - 4*q = -20. Let r = y + n. Is r greater than -2? False Let b = -18 + 15. Let o(q) = 5*q**2 - 4*q**2 + 5*q**2 - 5*q - q**3 - 5. Let a be o(5). Which is smaller: b or a? a Let u be 22/(-12) + 5 + -3. Let d(h) = h**3 - 7*h**2 + 6*h - 1. Suppose 4*c - 24 + 0 = 0. Let i be d(c). Is u greater than i? True Let t be 2/1 + -4 + 2. Let k = 2 + t. Let c be (16/108)/(k/3). Is c at least 2? False Let m = -22 + 57. Suppose -n = -4*a - 0*a - 8, -5*n = 5*a + m. Let s = a - -2. Which is bigger: -3/2 or s? s Let m = 1 + -0.6. Let z = 0.01 + 0.19. Which is greater: m or z? m Let y = -8 + -1. Let p = 0.82 - 0.72. Which is smaller: p or y? y Let v be 1/(-2) - (-9)/(-6). Let d = v + 7. Suppose 1 = -d*m + 11. Is 0.2 greater than or equal to m? False Let z be 1 - (-3 - 1 - 0). Suppose z*y + i = 16, y - 4 = -y - i. Is 3 greater than or equal to y? False Suppose 0*f - 2*f = -20. Is f >= 10? True Suppose -18 = 3*h - h. Does h = -8? False Let i = 2 - -8. Let c = i + -10. Suppose 0 = -0*a + 2*a. Is a >= c? True Let k be 4/30 + (-6)/45. Let y be ((-3)/6)/((-26)/(-4)). Is k != y? True Let i(c) = -c + 4. Let u = -7 - -12. Let s be i(u). Is s >= 1? False Let x(g) = g**3 - 5*g**2 + 4*g - 4. Let w be x(4). Are -4 and w nonequal? False Let c(u) be the second derivative of -11/2*u**2 + 0 + 2*u - 7/6*u**3 + 1/12*u**4. Let n be c(8). Which is smaller: -2 or n? n Let c = -59/2 - -29. Suppose -w + 54 = -7*w. Is w <= c? True Let h be (1 - 10/8)/((-11)/(-44)). Let g(n) = -4*n**3 - 2*n**2 - 2*n - 1. Let l be g(-1). Let r(t) = t**2 - 3*t - 1. Let k be r(l). Is h >= k? True Let u = -3/158 + -205/5846. Let d = -41/74 - u. Which is smaller: d or 5? d Let q(u) = -u**2 + 2*u. Let n be q(2). Let z = 5 - 6. Is z > n? False Let m(w) = w**3 + 3*w**2 - 3*w + 3. Let x be m(-4). Let q = 0 - 0. Are q and x nonequal? True Suppose 3*z = 12, -3*z + 5 + 7 = 2*s. Suppose s*r - 1 = r. Is r <= -1? True Let z be -3 + (-1)/((-
{ "pile_set_name": "DM Mathematics" }
w*p**4 + 1/5*p**2 = 0. -1, -1/4, 0 Let a(o) be the second derivative of -o**7/126 - 13*o**6/60 + 21*o**5/40 - o**4/72 - 7*o**3/12 - 117*o. Determine i so that a(i) = 0. -21, -1/2, 0, 1 Let v be (-5)/(-63)*(-11730)/(-425) + -2. Let o(j) be the first derivative of 2/35*j**5 + 3/14*j**4 + 0*j**2 + 0*j + 9 + v*j**3. Factor o(g). 2*g**2*(g + 1)*(g + 2)/7 Let x(p) be the first derivative of 19/4*p**2 - 11/6*p**3 - 9/2*p + 1/8*p**4 + 99. Let x(a) = 0. What is a? 1, 9 Let f(z) be the third derivative of z**6/300 + 19*z**5/50 + 78*z**4/5 + 676*z**3/3 + 9*z**2 + 2*z + 17. Find c such that f(c) = 0. -26, -5 Let m be (-39)/((-663)/(-136))*(-2)/4. Let p(j) be the second derivative of 0*j**2 - 1/42*j**4 + 0 + 0*j**3 - m*j. Suppose p(b) = 0. What is b? 0 Let o(w) be the first derivative of 1/5*w**5 - 13/4*w**4 - 49 + 55/3*w**3 - 75/2*w**2 + 0*w. Factor o(v). v*(v - 5)**2*(v - 3) Determine w so that 1680 - 90*w**4 + 94*w**4 - 10*w**2 + 2512*w - 840*w**3 - 2*w**2 = 0. -1, 2, 210 Let z(s) be the second derivative of s**4/96 + s**3/4 - 1053*s**2/16 + 575*s. Factor z(d). (d - 27)*(d + 39)/8 Let w(v) = -v**2 + 67. Let q be w(-7). Suppose q*n + 8 = 22*n. What is i in 6/5*i**n + 0 - 2/5*i**3 + 0*i = 0? 0, 3 Let s = -1017 + 2132. Suppose -s + 1117 = k. Factor 0*y + 0*y**3 - 6/5*y**k + 3/5*y**4 + 3/5. 3*(y - 1)**2*(y + 1)**2/5 Let m(f) be the second derivative of -f**5/25 + 19*f**4/15 - 32*f**3/15 - 72*f**2/5 + 1786*f. Factor m(y). -4*(y - 18)*(y - 2)*(y + 1)/5 Suppose -317 = 26*r - 1175. Let w be (-39 + r)*12/(-7). Factor 0 + w*f**2 + 2/7*f**4 + 0*f + 24/7*f**3. 2*f**2*(f + 6)**2/7 Let c(z) be the first derivative of 0*z - 4/11*z**3 + 0*z**2 + 12/55*z**5 - 1/11*z**6 - 64 + 3/22*z**4. Solve c(y) = 0. -1, 0, 1, 2 Let f be ((-40)/(-35))/((-4)/(-14)). Suppose -x + 6 = -2*x + 3*u, f*x + 5*u = 10. Factor 1/4*y + x - 1/8*y**2. -y*(y - 2)/8 Let i be (-1)/(13/(-10) - 231/(-154)) - -8. Suppose 0*n**2 + 1/4*n**4 + 0 + 1/4*n**i + 0*n = 0. Calculate n. -1, 0 Let v(i) be the third derivative of -i**6/24 - 23*i**5/2 - 1020*i**4 - 23120*i**3/3 + i**2 - 208*i. Factor v(z). -5*(z + 2)*(z + 68)**2 Let r(i) = i**3 + 18*i**2 + 28*i - 65. Let c be r(-16). Let z = c + 69/2. Determine j, given that z*j**3 + 9*j + 1 + 113/4*j**2 + 3*j**4 - 14*j**5 = 0. -1/2, -2/7, 2 Let j = 10298374/15 + -2029283/3. Determine g, given that 4107/5*g + 111/5*g**2 + 1/5*g**3 + j = 0. -37 Factor -80*n**3 - 4*n**4 + 102*n**2 - 31302*n + 70*n**2 + 31214*n. -4*n*(n - 1)**2*(n + 22) Suppose 2*k + 5*y = 98, -5*k = -16699*y + 16696*y + 34. Find b such that -4/5*b**2 + 3/5 + 1/5*b**k - 2/5*b**3 + 2/5*b = 0. -1, 1, 3 Let x be ((-342)/15 - 6)/((-2)/(-50)). Let s = -718 - x. Suppose 20/7*r - 50/7 - 2/7*r**s = 0. What is r? 5 Let p(x) = 44*x - 80. Let m be p(2). Suppose -17 = -3*j + 4*n - 1, 5*j + 2*n = -m. Factor j*q + q**3 + 1/2*q**5 + 0 - 3/2*q**4 + 0*q**2. q**3*(q - 2)*(q - 1)/2 Let g(d) be the second derivative of 121*d + 0 + 5/42*d**7 - 5*d**3 + 55/12*d**4 - 3/4*d**5 + 0*d**2 - 1/2*d**6. Find n, given that g(n) = 0. -2, 0, 1, 3 Let x(s) = -1. Let r(k) = -2*k**2 - 2*k + 17. Let y = 113 - 123. Let u(i) = y*x(i) - 2*r(i). Factor u(f). 4*(f - 2)*(f + 3) Find i such that -142*i**3 + 53865/2*i**2 + 6751269/4 + 1/4*i**4 - 1714608*i = 0. 1, 189 Determine q, given that -225*q**2 + 67*q + 33 - 15811*q**3 + 15812*q**3 + 260*q**2 = 0. -33, -1 Let b = -279995/558 + 4519/9. Let m = b - -1/186. Find u such that -2/3 - 4/3*u**2 - 5/3*u - m*u**3 = 0. -2, -1 Let -2517*f - 17633*f**2 - 63 - 5291*f**4 - 1225*f**5 - 46566*f**3 - 9841*f**2 + 2308*f**5 - 15172*f**4 = 0. Calculate f. -1, -1/19, 21 Let 25*u - 1/3*u**3 + 74/3*u**2 + 0 = 0. Calculate u. -1, 0, 75 Let i = -67705/333 + -5/333. Let n = -202 - i. Factor 0*z - 2/3*z**4 + n*z**2 + 0*z**3 - 2/3. -2*(z - 1)**2*(z + 1)**2/3 Let h(r) be the second derivative of r**7/84 - 17*r**6/60 + 37*r**5/20 + 7*r**4/12 - 89*r**3/4 - 189*r**2/4 + 1954*r. What is q in h(q) = 0? -1, 3, 7, 9 Let r be 3/3 + 5 - (17 - 356/16). Let 5/2*m + r*m**3 + 0 + 55/4*m**2 = 0. Calculate m. -1, -2/9, 0 Suppose 10418*i**3 - 21*i**2 - 10406*i**3 - 23*i**2 + 12*i**4 - 4*i**5 + 24*i = 0. What is i? -2, 0, 1, 3 Suppose 62/11*y**2 + 2/11*y**3 + 432/11 - 348/11*y = 0. Calculate y. -36, 2, 3 Let v = 64 - 46. Suppose 3*z - 5*z - 2*i = 0, 5*z = 4*i + v. Solve 88*y**z - 14*y**3 - y**3 + 5*y**5 - 98*y**2 = 0 for y. -1, 0, 2 Let q = 315 + -336. Let l be (q/(-63))/(1/(-9)) + 5. Let 0*z**l + 4/7*z**3 + 0*z + 0 = 0. Calculate z. 0 Let v(h) be the third derivative of h**6/120 - 7*h**5/20 + 33*h**4/8 - 45*h**3/2 + 572*h**2 - 1. Suppose v(r) = 0. What is r? 3, 15 Suppose 71*s = 70*s + 12. Suppose s*k - 7 = 5*k. Let g(u) = u**3. Let m(p) = 7*p**3 + 4*p**2. Let x(n) = k*m(n) - 5*g(n). Factor x(d). 2*d**2*(d + 2) Suppose -28*i + 25 = 5*z - 23*i, -i = -2*z + 1. Factor -12 - m**2 + z*m - 12 + 27. -(m - 3)*(m + 1) Suppose -4*a = -4*b + 16, 4*b + 2*a - 16 = -2*a. Determine p so that 8530 - 16*p + b*p**2 - 8530 = 0. 0, 4 Let l(h) = 199*h**2 - 3978*h + 8. Let s(u) = -124*u**2 + 2652*u - 5. Let c(w) = -5*l(w) - 8*s(w). Factor c(q). -3*q*(q + 442) Let n(c) be the third derivative of -c**8/252 + 13*c**7/126 - 73*c**6/360 - 11*c**5/60 + 5*c**4/8 - 36*c**2 + 5*c. What is p in n(p) = 0? -3/4, 0, 1, 15 Let d(m) be the first derivative of 5*m**5/42 - 10*m**4/21 + 16*m**3/21 + m**2/2 + 31*m - 44. Let q(a) be the second derivative of d(a). Factor q(g). 2*(5*g - 4)**2/7 Let j = -1/436 + 883/4796. Let a(w) be the first derivative of j*w - 2/11*w**2 + 8 + 2/33*w**3. Factor a(g). 2*(g - 1)**2/11 Let y(u) be the second derivative of -u**8/112 + 3*u**6/40 - u**5/10 - 35*u**2/2 - 2*u + 69. Let z(g) be the first derivative of y(g). Factor z(d). -3*d**2*(d - 1)**2*(d + 2) Let y(b) be the first derivative of -b**4/20 + 11*b**3/5 + 29*b**2/2 + 111*b/5 + 396. Suppose y(f) = 0. What is f? -3, -1, 37 Let b be 14/(-6) + 30/(-45) - -12. Factor -7*l**2 - 7*l - 17*l + b*l**2 - 20 - 6*l**2. -4*(l + 1)*(l + 5) Let l(v) be the second derivative of 3*v**5/20 + 53*v**4/12 + 29*v**3/6 - 85*v**2/2 + 166*v - 1. Factor l(b). (b - 1)*(b + 17)*(3*b + 5) Let n = -2854/1247 + -124/43. Let a = -571/116 - n. Factor 1/4*o - a*o**2 - 1/4*o**3 + 0 + 1/4*o**4. o*(o - 1)**2*(o + 1)/4 Let c(v) = -375*v**3 - 1495*v**2 - 1565*v - 10. Let n(t) = -187*t**3 - 748*t**2 - 782*t - 12. Let j(q) = -2*c(q) + 5*n(q). Factor j(r). -5*(r + 2)**2*(37*r + 2) Suppose 7*j = j + 12. Let c = 114332 + -800322/7. Factor -c*r - 1/7*r**j + 3/7. -(r - 1)*(r + 3)/7 What is f in 788/3*f**3 - 2*f**4 + 1270/3 - 3280/3*f**2 - 2804/3*f = 0? -1, 1/3, 5, 127 Let h(y) be the third derivative of -y**7/315 + 7*y**6/30 + 44*y**5/45 + 3*y**2 - 818. Factor h(v). -2*v**2*(v - 44)*(v + 2)/3 Solve 335 - 1789*p**2 - 1729*p - 1782*p**2 + 97 + 3575*p**2 = 0. 1/4, 432 Let i(j) be the first derivative of j**5/330 - 5*j**4/132 - 2*j**3/11 + 3*j**2/2 + 32*j + 4. Let m(d) be the second derivative of i(d). Factor m(p). 2*(p - 6)*(p + 1)/11 Suppose 10*v = 4530 - 1320. Let g = v - 321. Determine i, given that g*i**2 - 16/7*i + 0 + 4/7*i**4 + 12/7*i**3 = 0. -2, 0, 1 Let f be (724/19910)/(11/5 - 1). Let y(z) be the third derivative of 0 - 18*z**2 + 1/1155*z**7 + 0*z**3 + 0*z - 1/132*z**6 - f*z**4 + 4/165*z**5. Factor y(n). 2*n*(n - 2)**2*(n - 1)/11 Let f = 3433 + -3429. Let h(q) be the first derivative of -2/15*q**3 + 2/15*q**2 + 1 + 0*q + 1/30*q**f. Factor h(v). 2*v*(v - 2)*(v - 1)/15 Let z(b) be the third derivative of -13/32*b**4 - 93*b**2 + 0 + 5/4*b**3 + 0*b - 3/80*b**5. Find l such that z(l) = 0. -5, 2/3 Let u be (13 + 3)*(-288)/(-1792). Let f be 0 - (2 - 32/14). What is s in -20/7*s**2 - 6*s + 6/7*s**4 - f*s**5 - u + 12/7*s**3 = 0? -1, 3 Let o(v) be the third derivative of v**5/60 + v**2. Let i(u) = -3*u**3 + 18*u**2 - 12. Let w be 2380/252 + ((-40)/18)/5. Let t(f) = w*o(f) - i(f). Factor t(r). 3*(r - 2)**2*(r + 1) Let l(j) be the second derivative of -4*j**2 + 14 + 1/6*j**4 + 0*j**3 + 4*j. Factor l(x). 2*(x - 2)*(x + 2) Let n be 54 + -60 - (-82)/12. Let g be (6/(-18))/(1/(-17)) + -5. Factor -13/6*b**2 + n*b**3 + g + 2/3*b. (b - 2)*(b - 1)*(5*b + 2)/6 Let l(k) be the second derivative of -k**5/12 + 41*k**4/18 + 53*k**3/18 - 17*k**2/3 - 645*k - 1. Suppose l(d) = 0. Calculate d. -1, 2/5, 17 Let v(b) be the third derivative of b**7/840
{ "pile_set_name": "DM Mathematics" }
2*c - 4*z = w, -691 - 141 = -4*c - z. What is the tens digit of c? 0 Let w = 7646 - 1999. What is the thousands digit of w? 5 Suppose 89*s = 34*s + 1279685. What is the tens digit of s? 6 Let h(u) = 2*u**2 + 24*u + 1. Let r be h(-11). Let i = 126 - r. What is the units digit of i? 7 Let n = -2094 - -10138. Suppose 0 = -18*y + n + 5168. What is the units digit of y? 4 Let q(s) = s**2 - 18. Let x be q(8). Suppose -43*l + 55*l = 828. What is the units digit of x/l + (-271)/(-3)? 1 Let d = 18825 - 5271. What is the units digit of d? 4 Let o = -89793 + 136769. What is the units digit of o? 6 Let w(y) = 62*y**2 + 59*y**2 - 58*y + 56*y. Let t(q) = -q**3 - 21*q**2 - q - 20. Let i be t(-21). What is the hundreds digit of w(i)? 1 Let z(i) = i**2 + i - 8. Let w be z(0). Let l(s) be the third derivative of s**5/15 + 17*s**4/24 + s**3/6 + 74*s**2. What is the hundreds digit of l(w)? 1 What is the hundreds digit of (-2982683)/(-66) - (-18)/(-108)? 1 What is the units digit of 170/3*(-735)/(-70)? 5 Let u be -880 - (12 + -5 + -3). Let v = 1305 + u. What is the hundreds digit of v? 4 Suppose 11*t - 17 = 49. Suppose 0 = -t*h - 1 + 19. Suppose -107 = -6*i + 5*i - 2*o, -h*o - 395 = -4*i. What is the units digit of i? 1 Let f(t) = t**3 - 16*t**2 + 28*t + 207. What is the thousands digit of f(22)? 3 Let k = -20113 + 41269. What is the hundreds digit of k? 1 Let o be (-2)/(-8) + (-6)/24. Suppose o = g - 3*s + 72, -5*g + s = -0*g + 318. What is the units digit of (0 - g)/((-57)/(-38))? 2 Let p be ((-21)/(-5) + (-60)/(-75))*244. Suppose 2*r + 4*g = 604, p = 4*r - 0*g + 5*g. What is the hundreds digit of r? 3 Suppose -122750 - 78961 = -3*p. What is the thousands digit of p? 7 Let z = 5 + 20. Let d(y) be the second derivative of y**4/12 - 23*y**3/6 + 3*y**2 + 17*y. What is the units digit of d(z)? 6 Suppose 0 = -2*f - 4, -4*f = -i - 7*f + 9. Suppose -7458 = -i*a - 1053. What is the tens digit of a? 2 Suppose 0 = -10*j + 15*j + 205. Let a = j - -45. Suppose -a*o - 4*v - 76 = -388, 2*v = -6. What is the tens digit of o? 8 Let k = -21592 + 29127. What is the units digit of k? 5 What is the units digit of (9994/6)/(17 - 450/27)? 7 Let d be (39/26)/(3/100). Suppose -a + d = 2*j - 207, -3*a = 3. What is the hundreds digit of j? 1 Let o = 26773 - -49547. What is the hundreds digit of o? 3 Let g(a) be the third derivative of -11/24*a**4 + 0*a + 0 + 9*a**2 - 1/3*a**3. What is the tens digit of g(-9)? 9 Let i = 7541 + 4113. What is the tens digit of i? 5 Let d = 5760 - -8364. What is the units digit of d? 4 Suppose -5*s - 10 = 0, k = -4*s + 1198 + 543. What is the units digit of k? 9 Suppose -q = 4*q - 2*g - 274, -230 = -4*q - 2*g. Suppose 3*k - 1 - q = 0. Let w(z) = z**2 - 16*z - 9. What is the units digit of w(k)? 8 Let i(r) = -r**2 + r - 6. Let u(v) = -53*v**2 - 9*v + 20. Let y(k) = -3*i(k) - u(k). What is the units digit of y(-3)? 4 Suppose 21*h = 44*h - 654350. What is the thousands digit of h? 8 Suppose 0 = 10*r - 4*r + 18. Let i be 338/(-12)*4 - 2/r. Let x = i - -232. What is the units digit of x? 0 Let r = 41473 - 24244. What is the thousands digit of r? 7 Let q(o) = -58 - 44*o - 58 + 114. Let s be q(-1). Suppose 2*n + s = 5*n. What is the tens digit of n? 1 Let s(t) be the third derivative of 27*t**6/8 + t**4/4 - t**3 + t**2 + 54*t. What is the units digit of s(1)? 5 Let x(s) = 212*s**2 + 9. What is the tens digit of x(4)? 0 Let f = -3769 + 4567. What is the hundreds digit of f? 7 What is the units digit of (-606240)/(-18) - (-4 + 16)? 8 Let x(f) be the third derivative of -5*f**4/24 + 16*f**3/3 - 16*f**2. Let v be x(9). Let j = v - -96. What is the units digit of j? 3 Suppose -2*a = 2*s + 4, 5 = -s - 2*a - 2. Suppose 4*y + 58 = 110. Suppose -y + 183 = 2*d - s*j, -2*d + 4*j = -168. What is the tens digit of d? 8 Suppose -5*l + 11099 + 1538 = -z, l - 2537 = 5*z. What is the tens digit of l? 2 Suppose -7385 = -9*f - 1661. What is the tens digit of f? 3 Let q = 590 + -291. Let f = -46 + q. What is the tens digit of f? 5 Let v(y) be the first derivative of 52*y**2 + 5*y - 1. What is the units digit of v(2)? 3 Suppose 13*t - 2*t - 33680 = -9*t. What is the units digit of t? 4 What is the hundreds digit of 13/((-78)/(-9))*(3 - 2 - -3669)? 5 Suppose -6 = -2*z, -3*v - 2*z + 21 = -0*v. Suppose -3*u - u - 12 = -4*s, 0 = -v*u. Suppose -209 = -s*a + 88. What is the units digit of a? 9 Let m be 2*(6 + (-2754)/(-12)). Let h = -157 + m. What is the tens digit of h? 1 Suppose -3*w + 76475 = -14*i + 12*i, -w - 4*i + 25487 = 0. What is the tens digit of w? 9 Suppose -4*m + 64 = -z, -6*m + 2*z = -9*m + 59. Suppose -m*b = -31*b + 10108. What is the tens digit of b? 2 Let c = 105 + -105. Let q(l) = -l - 45. Let d be q(c). Let p = 231 + d. What is the units digit of p? 6 Suppose -363*k + 3087 = -298*k - 1333. Let y be 2/(-2) - (-72)/1. Let z = y + k. What is the hundreds digit of z? 1 Let m = -8726 - -17868. Suppose 5*z + 9*z - m = 0. What is the units digit of z? 3 Let x be (150/8)/((-9)/(-96)). Let p = x + -73. Let t = p - 70. What is the tens digit of t? 5 Suppose 3*p + 22756 = 4*k, -3*k = -1079*p + 1077*p - 17069. What is the thousands digit of k? 5 Let g be (-125)/(-10)*132/(-10). Suppose -1635 = 4*u - 475. Let j = g - u. What is the units digit of j? 5 Let q(y) = 625*y**2 + 5*y + 10. Let z be q(6). Suppose z = 36*n + 13*n. What is the units digit of n? 0 Suppose 5*q - 35 = -15. Suppose 216 + 152 = q*x. Suppose -3*y - x + 515 = 0. What is the units digit of y? 1 Let l(p) = 4*p**3 - 2*p**2 - p - 4. Let i be l(4). Let n = i + -172. What is the units digit of n? 4 Suppose 14*y + 27 = -43. Let q(l) = 8*l**2 + 8*l + 16. What is the units digit of q(y)? 6 Suppose 5*u - 38030 = -5*a, 0 = -5*u + 15*a - 12*a + 37982. What is the units digit of u? 0 Let y(f) = -1. Suppose -16*k = -6*k - 30. Let l(x) = 64*x - 19. Let i(n) = k*y(n) + l(n). What is the tens digit of i(5)? 9 Let k = -101 - -104. Suppose 3*s = 5*s + k*y + 1597, 9 = 3*y. What is the tens digit of (s + -5)/(-4) + 2? 0 Let t = 60178 - 8192. What is the thousands digit of t? 1 Let t be (7/2)/(49/420). Let y(z) = 4*z**2 - 3*z + 2. Let l be y(2). Let w = t - l. What is the tens digit of w? 1 Let t = 26 + -21. Suppose t*q + 282 = -318. What is the tens digit of (9/6)/((-2)/q)? 9 Let s(l) = -109*l - 29. Let y be (-51)/34*28/6. Let p(u) = 163*u + 44. Let c(o) = y*s(o) - 5*p(o). What is the units digit of c(-5)? 3 Let c be -1 + (9916/(-2))/2. Let s = c - -3704. What is the units digit of s? 4 Suppose -5*d + 119 + 71 = 0. Suppose 0 = -2*n + 54 - d. Suppose -7*y = -3*y + n, -r + y = -89. What is the tens digit of r? 8 Let m be ((-5)/(70/12))/(18/(-252)). Suppose 0 = -m*b + b + 55. Suppose 2*o = b*o - 222. What is the tens digit of o? 7 Let k(h) = h + 2. Let w(i) = 89*i + 12. Let j(b) = -k(b) + w(b). What is the hundreds digit of j(10)? 8 Suppose 0 = -28*f + 57983 + 443362 + 92115. What is the hundreds digit of f? 1 Let l(w) = 2293*w**2 - 46*w + 1. What is the units digit of l(2)? 1 Let x(d) = 13*d + 73. Let o(u) = 21*u + 18. Let c(r) = r. Let b(j) = -18*c(j) + o(j). Let g(y) = 9*b(y) - 2*x(y). What is the units digit of g(-9)? 7 Suppose -156*w = 159*w - 304*w - 271865. What is the ten thousands digit of w? 2 Let d = 31619 + -18565. What is the ten thousands digit of d? 1 Suppose 5*l + 5 = 0, -336 = -t + 2*l + 22. Let s = 577 - t. What is the hundreds digit of s? 2 Let w(a) = a. Let c(n) = 156*n - 182. Let r(p) = -2*c(p) + 364*w(p). What is the hundreds digit of r(16)? 1 Let b(d) = -4*d - 36. Let t be b(-10). Suppose 3*m = t*m + 5*j, 0 = 5*m - 3*j. Suppose 5*g + 2*f = -0*f + 94, 3*g - f - 52 = m. What is the tens digit of g? 1 Let c = 22722 - 13518. What is the units digit of c? 4 Suppose 0 = -l - 5*c + 11, 4*c - 4 = 5*l - 30. What is the units digit of 501/l*(48/4)/3? 4 What is the hundreds digit of 6478/(-237)*(-363)/2? 9 Let s(v) = -v**3 - 25*v**2 - 17*v - 2. Let u(g) = -g**3 + 14*g**2 - 3*g + 17. Let f be u(14). What is the hundreds digit of s(f)? 4 What is the units digit of (-11)/(-4) - (5 - 2274735/60)? 0 Let o(l) = 10*l**2 + 27*l**2 + 3*l - 35*l**2 - 5. What is the tens digit of o(-4)? 1 Suppose 12*n = -1497 + 7401. Suppose -168 = r - n. What is the tens digit of r? 2 Let u = 165 - 162. Let s(a) = 25*a**3 - 2*a**2 + 5*a - 1. Let i be
{ "pile_set_name": "DM Mathematics" }
6))) + 3 -28 Evaluate 22 - ((13 - -37) + -16). -12 (-105 - (24 - 227)) + -22 76 Evaluate -60 - -3 - ((43 - 22) + -25 + 14). -67 What is 35 + (6 - (3 + -4 + 12)) + 6? 36 48 + -42 + 4 - 41 -31 Calculate 3 + (-56 - -21 - -44). 12 Calculate ((-2 - 5) + 22 + -12 - 19) + -8. -24 -75 - -100 - (22 + 5) - (-62 + -4) 64 Evaluate -45 + (38 - -1) + 7 + 50 + 8. 59 Evaluate 52 + 6 + -9 + -9 - (9 - (-2 + 3)). 32 What is the value of (59 + -34 - 30) + (14 + -6 - -38)? 41 Evaluate (4 - 6) + -1 + -10 + 2 + 41 + -13. 17 What is (-68 - 2) + -277 + 220 + 88? -39 What is the value of 2 + 1 - ((27 - -3 - 14) + (60 - -3))? -76 Calculate 5 + (-8 - (5 + -36)) + -64. -36 Evaluate (-4 + -4 + 2 - -7) + (9 - 23 - 22). -35 Calculate (2 - (3 + -1) - (2 + -1)) + -43 + 81. 37 Calculate 13 + 0 + (82 - (151 + -84)). 28 What is the value of 0 - ((3 - 4 - 1 - 6) + 39) - -2? -29 (-1 + 8 - -92) + (2 - 1) + -1201 + 1198 97 (5 - 18) + -5 + 102 + -101 -17 What is -75 + 39 - (-6 - (6 + 8))? -16 What is 17 + 101 + -79 + -108 + 0 + -9? -78 24 + (-5 - 3) - 61 -45 Evaluate 38 - (55 + -12 + -22 - 26). 43 Evaluate 1 + (-14 - 0) - (175 + -197 + 41). -32 -26 - (-93 - -17) - (-11 + 1) - 11 49 Evaluate 86 + ((-10 - (-9 + -12)) + -9 - (2 - -11)). 75 Evaluate -10 - (12 + (-64 - -49)). -7 What is (-2 - -32) + (5 + -23 - -23 - 4)? 31 Evaluate -17 + 32 - (-12 - (-8 + -5)). 14 What is the value of (94 - (-10 - -24)) + (-22 - -14)? 72 Calculate 5 - (1 + 26 - (-35 + 57 + -24)). -24 Evaluate (66 - 96) + 31 + -34. -33 Calculate 1 + 0 + 16 + (-23578 - -23624). 63 What is the value of 99 + -1 + 13492 + -13643? -53 What is the value of (-2226 - -2219) + -28 + 0 + 0? -35 -1 + 1 + 3 - 12 - (35 - 44) 0 What is the value of -8 - (7 - (-1 + 3 + -58 + 69))? -2 Calculate 22 + (-30 + 52 + -40 - -40). 44 What is 2 + -7 + (-2 - 3 - (-50 - -50))? -10 Evaluate -58 + -1 - (-24148 - -24124). -35 Evaluate (-9 + 1 + -7 - -1) + (-57 - -143). 72 Calculate 63 + -32 + 0 - 14. 17 Evaluate -5 + (-41 + 11 - -120). 85 Calculate 328 + -292 - (-2 + 61) - (2 + 96). -121 (-37 - -43) + -27 + (-5 - -74) 48 What is 2 + 4 - (-4 - (-34 - -2))? -22 Calculate 9 - (-34 + 2 + 4 + -4 + -12 + 8). 45 Evaluate (0 - -9) + (40 + -116 - (-12 - 1)). -54 What is -642 - -557 - (1 - (1 + 14 + 1))? -70 Evaluate -2 + -13 + 85 + 47 + -88. 29 What is the value of (32 - ((-7 - 19) + 39)) + (83 - -1)? 103 What is (58 - (94 - -76)) + 253? 141 What is the value of 7528 + -7538 + (-1 - (31 - 0 - -1 - -1))? -44 (-25 - (1 - 34) - (-8 - -6 - 3)) + -66 -53 Calculate 4 - (-33 + (-11 - (1 + (-18 - -6)))). 37 Evaluate (-75 - (1 + 2)) + -15 + (27 - (23 + -20)). -69 What is the value of 683 + -598 - (10 + 3 + -6)? 78 What is 47 - ((6 - 17) + 50)? 8 Calculate 82 + (-192 - 5) + 21. -94 What is the value of -24 + 6 - (-58 - -58)? -18 Evaluate ((0 - 31) + -36 + 51 - (-2 + -6)) + 49. 41 What is the value of (4 - (2 + -1)) + 15 + -10 - -7? 15 -35 + 42 - (-11 - (-148 - -15 - -14)) -101 Calculate (1048 - 1019) + 1 + (4 - 16). 18 Calculate -11 - (7 + -55 + 19 + -28 + 8). 38 Calculate (40 + -34 - 22) + -6 + -6. -28 What is the value of -13 - (-19 + 9 + (0 + -2 + 1 - -1))? -3 Evaluate 6 - ((-10 - (0 + 7 + -18)) + 16). -11 Evaluate (4 - 2) + -2220 + 2252. 34 Evaluate -17 - ((-345 + 337 - (1 + -10)) + 12). -30 What is (-1 + -13 - (22 + -46)) + (6 - 2 - -3)? 17 Calculate -99 + (-19 + 117 - 48). -49 Evaluate -6 + (-6 + 0 - (-219 + 185)). 22 -10 - 3 - (62 + -65 + (-2 - 2)) -6 Calculate -15 + (38 - 10 - -18). 31 What is -2 - -16 - (8 + 6 + (-129 - -85))? 44 What is the value of -55 + 54 - (40 - (-1 - -2) - (-206 - -203))? -43 What is (-2 - 25) + 17 + -25 + 15 + 5? -15 What is the value of (-8 - -7) + ((4 + -5 - 11) + -1 - 33)? -47 4379 + -4378 + (-2 + 0 - -2) 1 Evaluate (-13 - 13) + 6 - -51 - 111. -80 Evaluate -10 + (22 + (-26 - -16) - (-11 - -1)). 12 19 + -1 + (17 - -4 - 3) 36 What is the value of 121 + -64 + -173 + 49? -67 What is 5 - (-10 + (0 + -16 - (-16 + (-2 - -23))))? 36 What is the value of (6 - -6) + -13 + 47 + -70? -24 What is the value of 253 + (70 - 276) + (-1 - 15)? 31 Calculate 19 + -6 - ((8 - -2) + 22 + -23). 4 (-88 - (35 - 19)) + (-3 - -38) -69 What is 52 - 52 - 33 - (-3 + 3 - -14)? -47 (-107 - (-3 + -49)) + 0 + 7 -48 What is the value of -86 + (54 - (72 + -34))? -70 What is -56 - (-63 + 94 + -28)? -59 Evaluate -29 + 15 - -25 - (-72 - -62). 21 85 - (-11 + 42) - 2 52 Calculate (-76 - -17) + 85 - 113. -87 Evaluate 38 - (-16 + (40 - 101) + 41). 74 (-4 - (-22 - 6)) + -11 + -7 - (10 + 0) -4 Calculate -11 - (12 + (354 + -360 - (82 - 1))). 64 What is (36 - (-30 - -40)) + 13? 39 -8 + 3 + 0 - (-189 + 79 - -154) -49 Calculate -6 + 17 + 17 - -18 - (-4 - 1). 51 Evaluate -1 + -34 + 207 + -195 + 43. 20 What is (-7 - -6 - (-2 - -3)) + (138 - 29 - 114)? -7 What is the value of (169 - 54) + -88 + 43? 70 Calculate 23 - (61 + 93) - -110. -21 Calculate -4 - ((-8 - 77) + (2 - 3)) - (99 + -94). 77 Calculate (1 - -1 - 11) + 93 + (-11 - 27). 46 -27 - (4 - (84 + -45)) 8 Evaluate -1 + (-12 + -1 - -13 - ((-2 - 1) + 4)). -2 What is -65 + (-35 - -10) + -8 + 13? -85 What is the value of (-3 - (-2 - 7)) + (5 - 62 - -9) - 12? -54 Evaluate 41 - (14 + (-3 - -36 - 30)). 24 Evaluate 4 - (3 + 21) - (-36 + 21). -5 Evaluate -1 - (-8 + -2) - (-10397 - -10383). 23 What is the value of -76 - -1 - (4318 - 4338)? -55 20 + (-28 - (-9 + -9 - -5)) 5 -15 + 3 + -13 + (-2 - (15 + -6 - 18)) -18 Calculate (-78 - (5 + 5)) + 47. -41 17 + -24 + -1 + 0 + (-2 - -12) + 3 5 What is (-2512 - -2508) + -2 + 0 + -11? -17 -14 + 66 + -57 - -141 136 Calculate -2 + (-4 - (1 + -3) - 10) + 12 + -5. -7 -61 + (2 - -7 - (19 - (-14 - -12))) -73 Evaluate 62 + (44 + -48 - (-3 + 0)) + 17. 78 What is -87 - (0 + 20 - (-52 + 142 + -70))? -87 Calculate 89 + -29 + (-94 - -104). 70 Evaluate -19 - (31 - 46) - ((-5 - -16) + 0). -15 Calculate -35 + -13 + 31 - (91 - 69). -39 What is 40 - (41 + 41) - -26? -16 What is -6 - (-10 + 26 - 6 - 10) - 13? -19 What is ((17 - 3) + -82 + 91 - -1) + -14 + -50? -40 Evaluate (-3 - 2) + (0 + -4 + -6 - -15) + -58. -58 Evaluate 15 + (0 + 1 - 38) + 8 + -61. -75 What is the value of -5 + 4 + -742 + 777? 34 Calculate -52 + (94 - -70) + -14. 98 What is the value of (4 - 2) + 5 + 3 + 53 + -6? 57 19 + -1 - (-45 + 6 + 20) 37 Calculate (57 - -15) + -27 + -90 - -98. 53 Evaluate (3 + -11 + 31 - -10) + (-3 - 6) - 10. 14 What is the value of 8 - 4 - (-3 + 8 + -15 + -1)? 15 Evaluate 30 + (5 - 22) - 9 - (-3 - (4 + 52)). 63 What is the value of -84 + 48 + 16 - (-30 - 1)? 11 Calculate 49 - (116 + -67) - -21. 21 1 + (-1 + 6 + -10 - (-10 - -10)) -4 Evaluate (-14 + 31 - (-2 + -11)) + 1 + -9. 22 What is the value of -4 + 10 + (-48 - 1)? -43 Calculate -28 + (-46 - (-145 + 41)). 30 Calculate 14 - (-5 + 6 + -19 + 35). -3 What is -10 + (-7 - (10 - (-20 + 56)) - -14)? 23 What is the value of -13 - (3 + -16 + -35 + 47 + (-9 - -39))? -42 What is the value of 8 + -9 + -2 - (-14 - -29 - 19) - -11? 12 Evaluate -125 + 161 + (46 - 29). 53 83 + (47 - 95) - -29 64 Evaluate 118 - 222 - -172 - (1 + 4). 63 What is -4 - (-18 + 12 + 6) - -61? 57 What is the value of 61 + -1 + -76 + (232 - 165)? 51 What is (168 + -82 - 57) + -50? -21 3 + -9 + (20 - ((-11 - -12) + 5 + -5)) 13 Calculate -1 + 10 - (-48 + -96 + 163). -10 Evaluate -24 + (53 - -40 - 3). 66 Evaluate (75 - 53) + 61 + -152. -69 What is the value of (7 - 10) + -15 + 35 + -13 + -9? -5 -14 + 3 + 21 + -10 - -11 - -13 24 Evaluate (0 + 3 - -2) + (-302 - -308). 11 -18 - (-55 - 0 - (74 - (133 - 61))) 39 Evaluate 0 + (-21 - -6 - -58). 43 What is -18 + -21 + -26 - 0? -65 (-4 - -21) + (18 - -20) + -9 + -2 44 What is the value of -20 + -2 + (60 - 120) + 52? -30 Evaluate (66 - -86) + (-16 - 3) - (7 - -10). 116 6 - (-120 + 130 - (3 + 9 - -3)) - -18 29 -10 + (51 - 72) + 32 1 212 + -218 + (2 - -23) - -10 29 Calculate 0 - (1 + 12) - (207 - (207 - 12)). -25 What is 122 - 2 - (176 + (-282 - -100))? 126 What is 86 + -5 - (-315 - -302)? 94 Calculate -54 - -35 - (-16 + -41). 38 Calculate -30 + 30 + 8 + -38 + 18 + -19. -31 Calculate -61 + 4 + 21 + 20 - 17. -33 Calculate -8 - -1 - (-68 + 11) - (-146 + 132). 64 What is the value of 72 + (16 - 16 - -13 - 18)? 67 Evaluate (332 - 393) + (58 - 6). -9 9 + 3 + -7 + (8 - 26) -13 Calculate -149 - -15 - (51 + 11 - 55). -141 What is -26 + 23 - (-50 + 37 - -115)? -105 What is the value o
{ "pile_set_name": "DM Mathematics" }
a + 0*a**3 - 22*a**2 - 1/245*a**7 - 2 + 1/70*a**5. Factor v(d). -2*d**2*(d + 3)*(3*d - 1)/7 Let h be (-196)/3430*(-3 + (-9)/(-108)). Find v, given that -h*v**3 + 0 - 7*v - 23/6*v**2 = 0. -21, -2, 0 Let j(z) = 15*z + 18*z - 4 - 40*z. Let q be j(-1). Determine o so that -5*o**q - 71*o**4 - 5*o**3 - 20*o**5 - 5*o**2 + 106*o**4 = 0. -1/4, 0, 1 Suppose -1/2*o**2 + 0 + 210*o = 0. What is o? 0, 420 Find f such that 269/5*f**3 - 1706/5*f + 4/5*f**4 - 408/5 - 229/5*f**2 = 0. -68, -2, -1/4, 3 Let r(k) be the second derivative of k**3 - 2*k**2 + 21*k. Let q be r(1). Factor 6*y + 6*y**3 + 12*y**2 - 3*y**3 - 3*y**q. 3*y*(y + 1)*(y + 2) Find f such that -31565*f**2 + 31485*f**2 - 60*f**4 + 5*f**5 - 1147*f + 220*f**3 + 187*f + 1280 = 0. -2, 2, 4 Let f(b) be the second derivative of -1/14*b**4 + 92*b - 15/14*b**3 + 0*b**2 + 3/140*b**5 + 0. Factor f(y). 3*y*(y - 5)*(y + 3)/7 Suppose -178 = -5*i - x - 167, -5*x + 9 = 2*i. Factor -9/2 + 1/2*k**i - 4*k. (k - 9)*(k + 1)/2 Let g(y) = -y**2 + 16*y - 15. Let l be g(15). Suppose l = 3*t - 3*j - 63, -t + 14 = 4*j - 27. Solve 50*d + 4*d**2 + 10 - 19*d**2 - t = 0. 1/3, 3 Let c = 455121 - 910241/2. Suppose -9/2 - c*r**2 + 3*r = 0. What is r? 3 Suppose -120204 = -3*x - 18*x. Let y be 12455/x - 4/(-54). Solve -3/2 - y*a - 3/4*a**2 = 0 for a. -2, -1 Suppose -15*u + 375 = -10*u. Let r(f) = 13*f - 22. Let q be r(7). Factor 15*k - 34*k**3 - u*k + q*k**3 + 6*k**2 + 39*k**2 - 20. 5*(k - 1)*(k + 2)*(7*k + 2) Let z be 20/14 - 224/(-392). Factor -2124*f**z - 2*f**3 - f**5 + f**4 + 3*f + 2120*f**2 + 3*f**4. -f*(f - 3)*(f - 1)**2*(f + 1) Suppose -49 + 39*x**2 - 79*x**2 - 99 + 41*x**2 + 147*x = 0. What is x? -148, 1 Let h(b) be the third derivative of -1/525*b**7 + 0*b**4 + 17*b**2 + 0 + 1/25*b**5 + 0*b**3 + b + 1/300*b**6. Solve h(j) = 0 for j. -2, 0, 3 Let z(i) = -i**2 - i + 6. Let d be z(2). Suppose 5*o - 30 + 10 = d. Suppose -4*q**o - 4*q + 2*q**5 + 23*q - 4*q - 7*q - 18*q**3 + 44*q**2 - 48 = 0. What is q? -3, -1, 2 Let r(x) = -15*x**3 + 14*x**2 + 135*x + 224. Let w(k) = -17*k**3 + 15*k**2 + 134*k + 228. Let p(i) = -6*r(i) + 5*w(i). Suppose p(d) = 0. Calculate d. -3, -2, 34/5 Factor 0*a - 4/3*a**2 + 1/3*a**3 + 0. a**2*(a - 4)/3 Let c = 443 - 455. Let w be -2 + c/(-8) + 27/6. What is a in 8/5*a**2 - 4/5*a**w - 2/5*a**5 + 4/5*a**3 - 4/5 - 2/5*a = 0? -2, -1, 1 Suppose -3*z = r + 13, -3*r + 2*z - 1 = 5. Let n = 4 - r. Factor 3*t**5 + 3*t**3 + n*t**4 - 9*t**2 + 8*t**4 + 0*t**5 - 7*t**4 - 6*t. 3*t*(t - 1)*(t + 1)**2*(t + 2) Let h(r) = 3*r**2 - 81*r - 1162. Suppose 97*t - 108*t = 55. Let s(f) = -2*f**2 + 39*f + 582. Let o(m) = t*s(m) - 3*h(m). Factor o(u). (u + 24)**2 Let y(i) be the first derivative of 7*i**5/110 + 26*i**4/11 + 27*i**3 + 22*i**2 - 14*i + 78. Let q(c) be the first derivative of y(c). Factor q(h). 2*(h + 11)**2*(7*h + 2)/11 Let u(x) be the third derivative of x**5/20 + 7*x**4 + 104*x**3 - 1771*x**2. Solve u(g) = 0 for g. -52, -4 Suppose 1 = 4*c + 5*h, 0*c - c - 16 = -2*h. Let t be (-3 - c)/3 - 2*-1. Find d, given that -5*d**2 - 52*d**4 + 54*d**4 + 2*d + 0*d**t + d**3 = 0. -2, 0, 1/2, 1 Let t(x) be the second derivative of 1/5*x**3 + 1/30*x**4 - 18/5*x**2 - 8 + 8*x. Factor t(u). 2*(u - 3)*(u + 6)/5 Let l(q) be the third derivative of q**7/42 - 9*q**6/8 - 61*q**5/12 + 145*q**4/8 + 6958*q**2 - q. Solve l(b) = 0 for b. -3, 0, 1, 29 Let g(t) be the first derivative of -1/7*t**3 - 3/2*t**2 - 36/7*t - 64. Factor g(f). -3*(f + 3)*(f + 4)/7 Let x(c) be the first derivative of c**4/6 - 14*c**3/9 + 4*c**2 + 1624. Solve x(q) = 0 for q. 0, 3, 4 Let m(h) = 26*h + 339. Let v be m(-13). Let k be (2/v - -7)*(-6)/(-36). What is f in 9 + k*f**2 - 15/2*f = 0? 2, 3 Let l(y) be the first derivative of -y**5/360 + 5*y**4/144 - y**3/6 + 3*y**2/2 + 2*y + 72. Let b(s) be the second derivative of l(s). Let b(v) = 0. What is v? 2, 3 Let c be (1 - -9) + 0 + 750/(-225). Suppose -10/3*a**2 + 0 - 15*a**3 + 0*a - c*a**4 = 0. What is a? -2, -1/4, 0 Suppose 2*r - 4*m = 16, -4*m - 5 - 59 = -14*r. Find y, given that -1/2*y**2 + 6 + r*y - 1/2*y**3 = 0. -2, 3 Suppose 11*t = 140 + 355. Let y be (-20)/t*9/(-3). Solve y*q**2 + 8/3*q**3 + 0 - 8/3*q - 4/3*q**4 = 0. -1, 0, 1, 2 Let w be ((-2)/(-10) - 24/(-30))*-298. Let h = w - -298. Factor -1/6*s**3 + 0 - 1/6*s**5 + h*s**2 + 1/3*s**4 + 0*s. -s**3*(s - 1)**2/6 Let b(x) be the third derivative of -x**7/504 + x**6/72 + x**5 - x**4/24 + 13*x**3/6 + 6*x**2 + 6*x. Let o(t) be the second derivative of b(t). Factor o(y). -5*(y - 6)*(y + 4) Let k(n) = 28*n**2 + 4480*n - 4580. Let m(w) = 18*w**2 + 2987*w - 3050. Let q(a) = -5*k(a) + 8*m(a). Factor q(f). 4*(f - 1)*(f + 375) Factor 85/3*j + 110/3 - 25/3*j**2. -5*(j + 1)*(5*j - 22)/3 Solve 1/7*k**2 - 8 + 10/7*k = 0 for k. -14, 4 Suppose -4*q - 244 = -4*t - 0*t, 4*q = 2*t - 116. Let h = t - 60. What is u in 25*u**2 - 22*u**4 + 3*u**4 - 30*u**4 + 55*u**3 - 10*u - 21*u**h = 0? -1/2, 0, 2/7, 1 Let a be (-45)/120 + 410/(-16). Let p = -24 - a. Factor 2*x**5 - 10*x**3 + 1080 - 1072 - 2*x**4 + 6*x + 10*x + 2*x**p. 2*(x - 2)**2*(x + 1)**3 Let i = -22 + 68. Let y = i + -44. Factor 0*k**2 - 4*k**y + 4*k + 11*k + k**2. -3*k*(k - 5) Let r(a) be the first derivative of 2/15*a**5 + 1/36*a**6 - 2/9*a**3 + 5/12*a**2 - 104 - 1/4*a**4 + 0*a. Factor r(j). j*(j - 1)**2*(j + 1)*(j + 5)/6 Let k(n) be the third derivative of 0*n - 22/3*n**4 + 0 + 24*n**2 - 968/3*n**3 - 1/15*n**5. Find j such that k(j) = 0. -22 Suppose -4*g = 5*f - g + 5, g - 3 = -4*f. What is c in -11*c**5 + 12*c**5 + 2*c**4 - f*c**2 + 3*c - 5*c**3 + c**3 = 0? -3, -1, 0, 1 Let h = -228 - -303. Let 65*k + 3645 + 56*k + 5*k**2 - h*k + 224*k = 0. Calculate k. -27 Let x be (-28)/(-16) + 1/(((-32)/16)/(0 - 2)). Solve 8*p + 21/2*p**3 + 0 + 1/4*p**5 - x*p**4 - 16*p**2 = 0 for p. 0, 1, 2, 4 Suppose 3*k - 4*f = -2*k + 45, 5*k = 5*f + 50. Let z = 13/6 - 23/18. Factor -2/9*a**k + 0*a**3 + 0*a**2 - z*a**4 + 0 + 0*a. -2*a**4*(a + 4)/9 Let m(f) be the first derivative of -2*f**5/5 + 2*f**3/3 - 8*f - 54. Let o(u) = -u**4 + u**2 - 5. Let j(y) = -5*m(y) + 8*o(y). Factor j(r). 2*r**2*(r - 1)*(r + 1) Find m, given that 1592/9*m - 160/3 - 10/9*m**4 - 1064/9*m**2 + 214/9*m**3 = 0. 2/5, 2, 4, 15 Let u(v) be the third derivative of 2*v + 6125/6*v**3 - 175/12*v**4 + 0 + 81*v**2 + 1/12*v**5. Factor u(r). 5*(r - 35)**2 Suppose 16331*x - 3*p = 16333*x - 59, 19*x - 59 = p. Determine t, given that 21/5*t + 3*t**3 + 27/5*t**2 + 6/5 + 3/5*t**x = 0. -2, -1 Let b = 1045444 + -1045442. Factor -100/9 - 10/9*o + 2/9*o**b. 2*(o - 10)*(o + 5)/9 Let f be ((-6 + 31)/5 + 14/(-3))*0. Factor 0*v**2 - 2/23*v + 2/23*v**3 + f. 2*v*(v - 1)*(v + 1)/23 Let p(w) = 9*w**2 + 725*w + 9900. Let u(n) = -39*n**2 - 3144*n - 42900. Let f(x) = 48*p(x) + 11*u(x). Suppose f(i) = 0. Calculate i. -50, -22 Let m be (-9)/6 - (1802/(-240) - -6). Let f(k) be the third derivative of -15*k**2 - m*k**5 + 0 + 0*k - 1/6*k**3 - 1/16*k**4. Let f(w) = 0. What is w? -2, -1 Factor 16*f**3 - 213*f**5 + 10*f**3 - 3*f**2 - 9*f**2 + 217*f**5 - 19*f**4 + 2*f**3. f**2*(f - 2)**2*(4*f - 3) Let s(o) be the first derivative of 2*o**5/5 + 6*o**4/5 + 8*o**3/15 + 4322. Factor s(p). 2*p**2*(p + 2)*(5*p + 2)/5 Let w(n) = 65*n - 181*n + 2*n**3 + 185*n - 3*n**3 - 55 + 19*n**2. Let s be w(22). Solve 5/4*o**5 - 37/4*o**4 + s*o**3 - 3*o**2 + 0 + 0*o = 0. 0, 2/5, 1, 6 Suppose 0 = 5*w + 4*w + 8*w - 11*w. Let o(f) be the second derivative of w*f**2 + 0 - 9*f - 2/21*f**3 - 1/42*f**4. Factor o(j). -2*j*(j + 2)/7 Let m be (-770)/(-35805) + 18580/930. Suppose 0 - m*a**3 + 0*a - 350*a**2 - 2/7*a**4 = 0. What is a? -35, 0 Let o(r) be the first derivative of r**4/2 - 136*r**3/3 + 197*r**2 - 260*r + 3046. Factor o(y). 2*(y - 65)*(y - 2)*(y - 1) Let v(m) = 62*m**2 + 755*m + 1472. Let j(f) = 165*f**2 + 2013*f + 3924. Let l(o) = -10*j(o) + 27*v(o). Factor l(y). 3*(y + 8)*(8*y + 21) Let d = 38986/11 + -3558. Let f = d - -632/33. Factor -f*w - 1/3*w**2 - 64/3. -(w + 8)**2/3 Let o(c) = 12 - 3*c**2 - 4*c**2 + 4*c**2 + 3*c + 2*c**2. Let w be o(5). Find i such that 4*i**4 + 16*i**2 - 7 + 7 - 8*i**w + 12*i**3 = 0. -2, -1, 0 Let u(i) = 0*i**2 + 4*i + 4*i**2 - 5 + 3. Let w = -215 - -218. Let s(h) = h**3 + 5*h**2 + 4*h - 3. Let b(y) = w*u(y) - 2*s(y). Factor b(c). -2*c*(c - 2)*(c + 1) Let m(p) = 5*p**3 - 64*p**2 - 15*p - 8. Let t be m(7). Let j = 4
{ "pile_set_name": "DM Mathematics" }
- 2*k**2 + 13*k - 4. Calculate -2*b(j) + s(j). -j**3 + 11*j - 2 Let s(p) = 6*p**3 + 5*p**2 - 4*p - 4. Let m(o) = 11*o**3 + 9*o**2 - 7*o - 7. Suppose -4*j + 5*h - 27 + 11 = 0, -4*h = 2*j + 8. What is j*m(d) + 7*s(d)? -2*d**3 - d**2 Let m(r) = 44*r**2 + 26*r + 26. Let j(h) = -2 + 0*h**2 - 5*h**2 - 1 - 3*h. Let y be 26*(-3 + (-44)/(-12))/(18/54). What is y*j(s) + 6*m(s)? 4*s**2 Let b(p) = 2*p**2 - p + 1. Let h(c) = 8*c**2 + c. What is 2*b(k) - h(k)? -4*k**2 - 3*k + 2 Let h(j) = -3*j - 17. Let i(g) = g + 1. Let v(n) = 3*n + 8. Let m(z) = -2*i(z) + v(z). Calculate 6*h(d) + 17*m(d). -d Let t(z) = 15. Let h(c) = 2*c + 16. Calculate 5*h(l) - 6*t(l). 10*l - 10 Let n(g) = -9*g + 9. Let y(f) = -4*f + 4. Suppose -m - 10 = 4*s + 5, 0 = 2*s + 5*m + 21. Determine s*n(z) + 7*y(z). -z + 1 Let j(g) = -3*g. Let b(z) = -3*z. Let d be ((-48)/(-56))/((-4)/(-14)). Let a = 106 - 110. What is a*b(c) + d*j(c)? 3*c Let s(j) be the third derivative of j**5/30 + 5*j**4/24 + 4*j**3/3 - 3*j**2. Let n(c) = 12*c + c**2 + 8*c + 3 - 18*c. Give -8*n(a) + 3*s(a). -2*a**2 - a Let q(v) = v**2 - 1. Let u(t) = -t - 3. Let o(m) = m**2 - 19*m + 85. Let k be o(12). What is k*u(y) - q(y)? -y**2 - y - 2 Let o(k) = 9*k**2 - 3*k - 9. Let z(s) = 4*s**2 - s - 4. Let n(p) = 24*p - 161. Let r be n(7). Determine r*z(i) - 3*o(i). i**2 + 2*i - 1 Let d(x) = 52*x**2 + 2*x. Let b(g) = -21*g**2 - g. Let i(r) = 5*b(r) + 2*d(r). Let s(j) = 10*j**2 + 9*j. Determine -36*i(c) - 4*s(c). -4*c**2 Let c(w) = -913*w**2 + 10*w - 5. Let j(g) = 3196*g**2 - 34*g + 17. Determine -17*c(k) - 5*j(k). -459*k**2 Let v(b) = 24*b**3 - 5*b**2 + 5. Let j(p) = -361*p**3 + 76*p**2 - 76. What is -5*j(c) - 76*v(c)? -19*c**3 Let q be (66/12 - 5)/(2/12). Suppose -l + q*k = 49, 2*l + 3*k + 112 = 2*k. Let h(y) = -11*y**2 - 6. Let w(n) = -100*n**2 - 55. What is l*h(t) + 6*w(t)? 5*t**2 Let b(o) be the second derivative of -o**2 + 2342*o. Let j(i) = i + 1. Suppose 7*s - 3*s = 8. Calculate s*j(u) + b(u). 2*u Let f(p) = 30*p + 2. Let c(y) = 65*y + 3. What is 2*c(m) - 5*f(m)? -20*m - 4 Let t(v) = -v**3 + 8*v**2 - 7*v - 6. Let n(h) be the third derivative of -h**6/120 + 3*h**5/20 - h**4/3 - 7*h**3/6 - 253*h**2. Calculate -6*n(g) + 7*t(g). -g**3 + 2*g**2 - g Let q(s) = 47*s**3 - 9*s**2 + 6*s - 3. Let t(u) = -92*u**3 + 18*u**2 - 10*u + 5. Determine -5*q(f) - 3*t(f). 41*f**3 - 9*f**2 Let k(d) = -5*d - 1 - 1 + d + d. Let c(v) = -6*v - 4. Calculate -4*c(x) + 9*k(x). -3*x - 2 Let d(x) = -13*x**3 + 2*x. Let l(z) = 17*z**2 + z - 7*z**3 - 28*z**2 + 20*z**2 - 9*z**2. Determine 2*d(n) - 5*l(n). 9*n**3 - n Let j(l) be the first derivative of -7*l**3/3 + 3*l**2 - 9*l - 114. Let o(w) = 6*w**2 - 5*w + 8. Give -5*j(h) - 6*o(h). -h**2 - 3 Let p(d) = 3*d + 0*d**2 - 2*d**2 - 4*d + 5. Let t = 439 + -440. Let x(b) be the first derivative of -b - 1. Determine t*p(m) - 6*x(m). 2*m**2 + m + 1 Let x(v) = -13*v**2 + 6*v - 2. Let q = 59 - 57. Suppose -2*n - 6 = q. Let h(y) = 6*y**2 - 3*y + 1. What is n*x(b) - 9*h(b)? -2*b**2 + 3*b - 1 Let b(u) = -69*u + 10. Let t(q) = -35*q + 6. Give 6*b(g) - 11*t(g). -29*g - 6 Let v(h) = -3*h + 11. Suppose 92 + 448 = -135*m. Let f(l) = l - 4. Give m*v(x) - 11*f(x). x Let i(v) = v**2 + v + 1. Let s(n) = -2*n**2 - 11*n - 2. What is -4*i(k) - s(k)? -2*k**2 + 7*k - 2 Let f(o) = 2*o**3 - o - 1. Let w(a) be the first derivative of -a**4 + a**2 + 2*a - 84. Calculate 9*f(y) + 4*w(y). 2*y**3 - y - 1 Let d = 5 - 6. Let p(f) = f**2 - 4 + 18*f + 18*f - 61*f + 5*f + 21*f. Let j(c) be the third derivative of -c**3/6 - c**2. Calculate d*p(u) + 3*j(u). -u**2 - u + 1 Let p(i) = -1. Let b(x) = 3*x. Let v be b(5). Let g = v - 14. Let c(y) be the first derivative of 2*y**3/3 + y**2 + 7*y - 8. What is g*c(k) + 6*p(k)? 2*k**2 + 2*k + 1 Let p(a) = -a + 1. Let o(l) = l. Let s(m) = m**3 + 7*m**2 - 18*m - 3. Let z be s(-9). Give z*p(g) - o(g). 2*g - 3 Let i(p) = 2*p. Let u(r) = 5*r + 7. Give 4*i(d) - u(d). 3*d - 7 Let o = -19 - -12. Suppose 6*r - 3*r = 6. Let u(t) = 4*t - 6*t**2 + r*t + 3 + 3*t - 2*t. Let l(b) = -4*b**2 + 5*b + 2. Determine o*l(c) + 5*u(c). -2*c**2 + 1 Suppose -3*z = 5*u - 76, 0*u - 3*z - 77 = -4*u. Let r(c) = 5*c**2 - 9*c - 2. Let b(i) = 14*i**2 - 26*i - 6. Calculate u*r(v) - 6*b(v). v**2 + 3*v + 2 Let k(l) = 994671*l**3 + 2997*l**2 - 5994. Let m(c) = -664*c**3 - 2*c**2 + 4. Give -2*k(b) - 2997*m(b). 666*b**3 Let a(d) = 23 - 4*d**2 - d**3 + 0*d - 3*d - 27. Let y be a(-3). Let s(g) = -g**2 - 4*g + 4. Let u(i) = -i + 1. Give y*u(z) + s(z). -z**2 Let l = -11 + 2. Let y = l - -15. Let v(a) = -3 + 3 - 1 - a. Let b(m) = m**2 + 6*m + 6. Calculate y*v(g) + b(g). g**2 Let x(q) = -6*q**3 + 12*q**2 - 23*q - 19. Let g(a) = 3*a**3 - 6*a**2 + 9*a + 9. Determine -5*g(b) - 2*x(b). -3*b**3 + 6*b**2 + b - 7 Let h(f) = -20822*f. Let l(k) = -127*k. Determine 6*h(w) - 986*l(w). 290*w Let m(w) = 4*w + 2. Let a be 2 - 2 - (1 + -1). Let p(f) = f**2 - f - 3. Let d be p(a). Let x be (1/d)/(2/12). Let n(u) = -17*u - 8. Calculate x*n(b) - 9*m(b). -2*b - 2 Suppose 2*h - 21 = -5. Suppose -5*t + 22 = -h. Let q(p) be the third derivative of -p**4/24 + p**3/6 - p**2. Let o(r) = 7*r - 6. What is t*q(y) + o(y)? y Let v(s) be the second derivative of 8*s - 1/2*s**2 + 0. Let m(n) = 7*n + 6. Let x(k) = 4*k + 3. Let b(t) = 3*m(t) - 5*x(t). Calculate -b(p) - 5*v(p). -p + 2 Let v(z) = -37*z**3 + 3. Let g(f) = 149*f**3 - 12. Calculate 2*g(i) + 9*v(i). -35*i**3 + 3 Let t(c) = -2*c - 4. Let o(p) = 6915*p + 1 + 0 - 6914*p. What is -6*o(d) - 2*t(d)? -2*d + 2 Let k(a) = -3*a. Suppose 25*u = 21*u - 8. Let n(z) = 19*z + 1. Let f(m) = -18*m - 1. Let c(y) = -3*f(y) - 2*n(y). What is u*c(s) - 11*k(s)? s - 2 Let v(d) be the third derivative of d**5/60 - d**4/24 + d**3/6 + 74*d**2 + 2. Let h(m) = -5*m**2 - 3*m + 3. Calculate -h(w) + 3*v(w). 8*w**2 Let k(s) = -52*s - 764. Let z be k(-15). Let o(u) = -82*u. Let d(j) = -27*j. Give z*d(i) - 5*o(i). -22*i Let h(d) = -21*d - 16. Let u(s) = 4*s - 1. Let p(v) = 8*v + 2. Let m(r) = -p(r) + u(r). What is -2*h(y) + 11*m(y)? -2*y - 1 Let i(p) = -5*p**3 - 2*p + 5. Let c(j) = -15*j**3 + 14*j - 22. Let x(f) = 5*f**3 - 5*f + 8. Let r(d) = 6*c(d) + 17*x(d). Calculate -4*i(h) + 5*r(h). -5*h**3 + 3*h Let v(q) = 162*q**2 - 17*q - 8. Let w(x) = -54*x**2 + 6*x + 3. Calculate 6*v(a) + 17*w(a). 54*a**2 + 3 Let q(r) = -2*r**3 - 2*r**2 + 8*r + 3. Let w(g) = g**3 + 17*g - 2*g**3 - 36*g + 0 - 2*g**2 + 26*g + 2. Calculate 2*q(n) - 3*w(n). -n**3 + 2*n**2 - 5*n Let h(i) = -125*i + 248*i - 127*i + 3. Let g(u) = -5*u + 4. What is 5*g(x) - 6*h(x)? -x + 2 Let i(j) = 3*j**3 + 2*j - 1. Let d(r) be the second derivative of r**4/12 - r**2/2 - 56*r + 2. Give d(n) - i(n). -3*n**3 + n**2 - 2*n Let n(t) = -3*t**2 + 10*t + 178. Let w(f) = f**2 - 2*f - 1. What is -n(h) - 4*w(h)? -h**2 - 2*h - 174 Let s(t) = 19*t + 24. Let j(x) = -12*x - 13. What is -5*j(z) - 3*s(z)? 3*z - 7 Let z(y) = 2*y. Let c(l) = -47*l**2 + 22*l. Give 4*c(u) - 44*z(u). -188*u**2 Let x(n) = 29*n**3 - 22*n**2 + 48*n - 36. Let c(a) = 6*a**3 - 4*a**2 + 9*a - 7. What is 11*c(q) - 2*x(q)? 8*q**3 + 3*q - 5 Let s be 8*15/(-70)*77/(-2). Let i be -4*3/s + (-124)/44. Let l(f) = -2*f**3 + 3*f. Let n(d) = -d**3 + 2*d - 1. Give i*n(t) + 2*l(t). -t**3 + 3 Let y(g) = -8*g - 1. Suppose -78 = 8*j - 9*j. Suppose j = 9*c - 6*c. Let s(n) = -c*n + 13*n + 12*n. Calculate 6*s(m) - y(m). 2*m + 1 Let f(k) = 219*k**3 + 5*k + 6. Let o(a) = -438*a**3 - 9*a - 11. Determine -11*f(t) - 6*o(t). 219*t**3 - t Let x(l) = 17*l**2 + 3*l + 6. Let o(q) = -q**3 + 36*q**2 + 6*q + 10. What is -3*o(b) + 5*x(b)? 3*b**3 - 23*b**2 - 3*b Let f(b) = 4*b**2 - b. Let i(c) = 715*c**2 - 165*c. Determine -660*f(p) + 4*i(p). 220*p**2 Let h(d) = 3. Let n(a) = -424*a + 16. What is -5*h(m) + n(m)? -424*m + 1 Let r(i) = -52 + 20 + 18 - 2*i - 2*i**3 + 13. Let k(b) = -4*b**3 - 3*b - 2. Calculate 2*k(w) - 5*r(w). 2*w**3 + 4*w + 1 Let i(g) = 135*g**3 + 2*g**2 - 3. Let j(x) = 135*x**3 + 3*x**2 - 4. Determine 3*i(a) - 2*j(a). 135*a**3 - 1 Let s(j) = -2*j**2 + 0*j**2 - 3*j + j. Let t be ((-3)/(-5))/(126/(-1050)). Let v(r) = -r**2 - r. Calculate t*v(q) + 3*s(q). -q**2 - q Let g(c) = -c**2 - 2*c + 3. Let p(v) = -5*v**2 - 33*v + 24. Determine 6*g(s) - p(s). -s**2 + 21*s - 6 Let s(j) = -3*j**2 - j + 4. Let g be 10/35 + (-26)/(-7). Let y = g + 5. Let b(i) = -3*i - 7*i**2 + 2*i -
{ "pile_set_name": "DM Mathematics" }
ive prob of picking 2 w. 7/26 Three letters picked without replacement from {w: 7, g: 2, h: 3, l: 4, u: 1}. Give prob of picking 1 w and 2 g. 7/680 What is prob of picking 1 g and 2 t when three letters picked without replacement from vygvgfygtfyvyjjt? 3/560 Calculate prob of picking 1 g, 2 v, and 1 o when four letters picked without replacement from {o: 6, g: 4, v: 7}. 18/85 Calculate prob of picking 2 w and 1 t when three letters picked without replacement from sswswswwsstss. 3/143 Calculate prob of picking 2 n when two letters picked without replacement from {n: 12, p: 6}. 22/51 What is prob of picking 1 k and 2 y when three letters picked without replacement from ikikykikiiiky? 5/286 Calculate prob of picking 3 w when three letters picked without replacement from wyywwywwwwwyxwwyyyw. 55/323 Two letters picked without replacement from {a: 1, v: 2, h: 8, k: 2}. What is prob of picking 2 v? 1/78 Calculate prob of picking 2 d when two letters picked without replacement from vddd. 1/2 Four letters picked without replacement from uururu. Give prob of picking 1 u and 3 r. 0 What is prob of picking 1 j and 1 i when two letters picked without replacement from {i: 1, j: 3, q: 3, h: 2, e: 2, f: 1}? 1/22 Calculate prob of picking 2 g and 2 j when four letters picked without replacement from gjggjg. 2/5 What is prob of picking 1 s, 1 t, and 1 m when three letters picked without replacement from misttmhie? 1/21 Calculate prob of picking 1 l and 2 h when three letters picked without replacement from {d: 1, k: 1, h: 2, l: 4, f: 3}. 4/165 Three letters picked without replacement from lllffflllll. What is prob of picking 2 f and 1 l? 8/55 Three letters picked without replacement from {i: 1, o: 4, f: 5, b: 2, g: 2}. What is prob of picking 2 b and 1 g? 1/182 Three letters picked without replacement from {v: 4, h: 7}. What is prob of picking 2 h and 1 v? 28/55 Four letters picked without replacement from {y: 5, z: 3, w: 3}. Give prob of picking 3 z and 1 y. 1/66 Calculate prob of picking 1 z and 2 h when three letters picked without replacement from ggzoghgghhgpggghh. 1/68 Two letters picked without replacement from {m: 16, e: 4}. What is prob of picking 1 e and 1 m? 32/95 Calculate prob of picking 1 g, 1 a, and 2 z when four letters picked without replacement from {v: 1, a: 3, g: 3, k: 1, z: 2}. 3/70 Four letters picked without replacement from rllemrllmmmrhma. Give prob of picking 2 l, 1 m, and 1 r. 6/91 Two letters picked without replacement from {b: 2, r: 1, y: 2, f: 9}. Give prob of picking 2 b. 1/91 Two letters picked without replacement from zyeoeennyye. Give prob of picking 1 e and 1 z. 4/55 Two letters picked without replacement from ypkim. Give prob of picking 1 i and 1 y. 1/10 Calculate prob of picking 1 g and 2 r when three letters picked without replacement from rrggrrrgrrrrrr. 165/364 Three letters picked without replacement from qppapkap. What is prob of picking 2 a and 1 q? 1/56 Calculate prob of picking 2 w when two letters picked without replacement from zjzwwwdzjjjhxzjjwxjw. 1/19 Calculate prob of picking 1 i, 1 o, and 1 r when three letters picked without replacement from {o: 6, p: 2, i: 1, r: 1, m: 6, z: 2}. 1/136 Three letters picked without replacement from cxcxxx. Give prob of picking 1 x and 2 c. 1/5 What is prob of picking 1 c and 1 z when two letters picked without replacement from zczczczzzzzzczcccczc? 99/190 What is prob of picking 4 e when four letters picked without replacement from ieieeeeieieeieiieb? 7/102 Two letters picked without replacement from qmmmmzzz. What is prob of picking 1 q and 1 m? 1/7 What is prob of picking 1 i, 2 u, and 1 q when four letters picked without replacement from {f: 1, u: 3, n: 1, q: 1, i: 4, y: 6}? 3/455 What is prob of picking 1 r, 1 p, and 2 y when four letters picked without replacement from fpfyffrfyrfff? 2/715 Four letters picked without replacement from {r: 2, n: 3, l: 2, b: 4, o: 1}. What is prob of picking 1 r, 1 n, and 2 b? 4/55 Two letters picked without replacement from tssstswittsc. What is prob of picking 2 s? 5/33 Calculate prob of picking 1 z and 3 l when four letters picked without replacement from lllllllzllzllllllll. 20/57 Three letters picked without replacement from vvmomvmvmvvmvmv. What is prob of picking 2 m and 1 v? 24/91 Three letters picked without replacement from yfyfxxffxyx. What is prob of picking 2 y and 1 x? 4/55 What is prob of picking 1 p and 3 z when four letters picked without replacement from {p: 6, z: 12}? 22/51 Three letters picked without replacement from {g: 3, t: 1, x: 5, w: 1, b: 1}. Give prob of picking 2 g and 1 w. 1/55 What is prob of picking 2 x and 2 e when four letters picked without replacement from {h: 3, x: 4, e: 2, p: 1, q: 2}? 2/165 Calculate prob of picking 2 q and 1 u when three letters picked without replacement from uquuuququuquuu. 15/91 Two letters picked without replacement from {i: 1, q: 3, b: 3, p: 1, m: 4, o: 5}. Give prob of picking 1 p and 1 o. 5/136 What is prob of picking 3 d when three letters picked without replacement from ddddd? 1 Three letters picked without replacement from {g: 3, h: 8}. What is prob of picking 3 g? 1/165 Calculate prob of picking 1 d, 2 s, and 1 r when four letters picked without replacement from rssssdssrrssssssdd. 33/170 What is prob of picking 1 e and 1 q when two letters picked without replacement from {r: 2, w: 2, e: 2, j: 6, q: 1, u: 4}? 1/68 Two letters picked without replacement from {g: 2, h: 1, a: 1, f: 2, s: 1, n: 2}. What is prob of picking 2 f? 1/36 Two letters picked without replacement from dkooooekdeookec. Give prob of picking 1 e and 1 d. 2/35 Calculate prob of picking 1 d, 1 m, 1 s, and 1 r when four letters picked without replacement from rssdrddmddmmm. 16/143 Three letters picked without replacement from {x: 2, v: 2, p: 1, a: 1}. What is prob of picking 1 v and 2 x? 1/10 Two letters picked without replacement from zkk. Give prob of picking 2 k. 1/3 What is prob of picking 2 c when two letters picked without replacement from {c: 2, i: 1, o: 1, f: 1, e: 2}? 1/21 Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {y: 1, t: 1, b: 3, v: 2}. 1/7 What is prob of picking 2 c and 2 n when four letters picked without replacement from jpppxncjnphhjpncjjp? 1/1292 Two letters picked without replacement from bbnnsgbsbbbnsbnu. What is prob of picking 2 s? 1/40 Two letters picked without replacement from {o: 1, g: 1, i: 3, k: 3, t: 5}. Give prob of picking 2 k. 1/26 Calculate prob of picking 3 j and 1 u when four letters picked without replacement from jujjujjjjujujuuujjj. 385/969 Two letters picked without replacement from uuuu. Give prob of picking 2 u. 1 What is prob of picking 1 j, 1 d, and 1 f when three letters picked without replacement from {u: 6, f: 2, j: 3, d: 7, p: 1}? 14/323 Two letters picked without replacement from {s: 1, w: 1, t: 2, h: 2, p: 1, i: 2}. Give prob of picking 1 h and 1 i. 1/9 What is prob of picking 2 s when two letters picked without replacement from xxsxsxxsxssss? 7/26 Two letters picked without replacement from {s: 1, n: 3, w: 1, c: 3, t: 3}. What is prob of picking 2 n? 3/55 Three letters picked without replacement from {c: 1, r: 6, u: 5, j: 4}. Give prob of picking 1 u, 1 j, and 1 r. 3/14 What is prob of picking 1 b and 1 j when two letters picked without replacement from jbbbjfj? 3/7 Four letters picked without replacement from {i: 1, a: 1, u: 1, z: 4, s: 2}. What is prob of picking 1 s, 1 a, 1 u, and 1 z? 4/63 What is prob of picking 1 v, 1 m, and 1 a when three letters picked without replacement from mvapmau? 4/35 Two letters picked without replacement from npllfvlllffnnvc. Give prob of picking 1 p and 1 c. 1/105 Three letters picked without replacement from {t: 2, h: 1, b: 9, f: 7}. What is prob of picking 3 f? 35/969 What is prob of picking 1 q and 2 j when three letters picked without replacement from {q: 1, j: 14}? 1/5 Calculate prob of picking 1 b and 1 m when two letters picked without replacement from hbibbhbhmlb. 1/11 What is prob of picking 2 n when two letters picked without replacement from {n: 5}? 1 Three letters picked without replacement from tphptpppn. Give prob of picking 3 h. 0 Three letters picked without replac
{ "pile_set_name": "DM Mathematics" }
6 a factor of u? True Let l = 641 - 485. Is 12 a factor of l? True Let z(j) = -j**3 + 5*j**2 + 6*j + 2. Let o be z(6). Let p(s) = -2*s**3 + s**2 + 4*s - 3. Let q be p(o). Does 3 divide 7 - (1 + q - -3)? False Let t = -983 + 5398. Is t a multiple of 14? False Let y(m) = -m**3 + 27*m**2 + 16*m - 175. Is y(26) a multiple of 7? True Let s(j) = j**3 + 12*j**2 + 5*j - 16. Let u be s(-13). Is u/(-6) - (-14)/(-21) a multiple of 15? False Suppose 7*y - 4*y - 189 = 0. Let z = y - 29. Does 6 divide z? False Let v = 183 + -151. Suppose -28*n + v*n = 480. Is n a multiple of 20? True Let m = 2 - 5. Let p be 18 - (-5)/((-25)/(-15)). Let s = p + m. Is 15 a factor of s? False Let o be (0 + 96/3)/2. Let x be (-46)/(-4) - (-8)/o. Is 13 a factor of ((-4)/6)/(x/(-234))? True Suppose -4*k - 7 = -g + 10, 26 = -4*k - 2*g. Let z be 4/k*(-5)/2. Suppose -77 = -3*m - 2*m + 2*i, -2*m = z*i - 42. Is m a multiple of 16? False Suppose 4*y + 446 = u, 5*y - 19 = 6. Is u a multiple of 12? False Let o = -945 + 1361. Is 52 a factor of o? True Let n be 52/20 + 2/5. Suppose 0 = -3*y + 3 + n. Suppose -4*u + 24 = -y*v, -2*v - 14 + 2 = -2*u. Is 2 a factor of u? True Let t(g) be the first derivative of 21*g**2/2 - g + 9. Is t(1) a multiple of 4? True Let j = -220 - -3892. Does 12 divide j? True Let l(q) = 313*q**3 + 7*q**2 - 3*q - 4. Is 25 a factor of l(1)? False Let k(p) = -p**3 + 9*p**2 + 5*p + 6. Let i be (6/15 - 0)*20. Let d be k(i). Suppose -2*z + 3*z = 4*j + 38, 0 = -4*z - 5*j + d. Is z a multiple of 15? True Let n(p) = p**2 - 2*p + 4. Let a be n(0). Suppose 0 = 2*v - 5*i + 341, 5*v + a*i - 2*i + 867 = 0. Let f = v + 269. Is f a multiple of 24? True Suppose 24 = 2*k + 18. Suppose 0 = -3*s + k*j + 216, 0*s = -5*s + j + 352. Does 5 divide s? True Suppose 2*x - 28 = -4*t, 52 = 3*x + 5*t + 5. Let l be ((-16)/x)/((-2)/63). Let p = -16 + l. Is 2 a factor of p? False Is 91 a factor of ((-2962)/(-3))/(((-500)/(-30))/25)? False Let c be 3/2 - 14/(-28). Suppose -3*b - 1 = c. Is b/((8/(-20))/2) a multiple of 3? False Let w(c) = 363*c - 136. Is w(7) a multiple of 65? True Let l(a) = 6*a**2 + 3*a**3 + 3 + 10*a**2 - 4*a**2 - 4*a**3. Let n be l(12). Suppose -n*t - 2*v = 24 - 86, -5*v = -4*t + 75. Does 4 divide t? True Let v(l) = -5*l**2 + 7*l**2 + 70 - 4*l**2 + 3*l**2 - 22*l. Is 10 a factor of v(22)? True Let s = 28 + -26. Let t = 11 + s. Is 4 a factor of t? False Suppose 28 - 268 = -8*d. Let l = d - -30. Is 30 a factor of l? True Let r(y) = 26*y - 112. Let t be r(5). Let x = 161 - 43. Suppose -2*i - 41 - t = -d, 3*i = -2*d + x. Does 18 divide d? False Suppose -2*z + w + 3*w + 2292 = 0, 4*w = -5*z + 5660. Is z a multiple of 71? True Let q(z) = z**2 + 9*z - 8. Let x be q(-10). Suppose 0*r = -5*r - 2*c + 999, -x*r + 390 = -4*c. Does 33 divide r? False Let f(d) = 20*d - 202. Is 45 a factor of f(48)? False Suppose -3*w = -0*w - 9. Suppose 4*d = -0*d - 2*o + 12, -w*d - o = -10. Suppose 0 = 5*l - d*j + 24 - 84, 0 = -l + 2*j + 12. Is l a multiple of 12? True Let c = -59 - -126. Suppose -4*f = -c - 1173. Is (-5 + 2)/((-15)/f) a multiple of 12? False Let d(t) be the second derivative of 3*t + 1/20*t**5 + 1/2*t**3 + 0 + 1/2*t**4 - 1/2*t**2. Is 8 a factor of d(-3)? False Let o(j) = 10*j - 22. Let n be o(9). Let u(r) = 0*r + n - 71 - r**2 - 7*r. Is 2 a factor of u(-6)? False Is (-10746)/(-16) + (-600)/(-64) + -9 a multiple of 11? False Let b(p) = p**3 + 8*p**2 - 18*p - 16. Let y be b(-9). Suppose -1049 = -6*m - y. Is m a multiple of 41? True Let k be -5*4/(-10)*1. Suppose k*o - 3 = 37. Does 5 divide o? True Let w(o) = o**2 - 22*o - 14. Let k be w(15). Let s = -48 - k. Is s a multiple of 17? False Let t = 16 - 11. Is 3 a factor of 105/t + (-6)/3? False Let s = -38 - -46. Let l = 21 - s. Does 13 divide l? True Let y be (4/((-8)/195))/((-18)/(-24)). Let k = -70 - y. Is k a multiple of 16? False Is 30/(-20) + 11624/16 a multiple of 25? True Let z(p) = 64*p**2 - 8*p - 42. Does 6 divide z(-4)? True Let v = 76 - -42. Does 37 divide v? False Does 16 divide ((-18)/288*-1576)/(1/4)? False Let w(f) = -f**2 + 58*f + 19. Is w(29) a multiple of 43? True Let j(k) = 8*k**3 + 2*k**2 - 4*k**2 + 3 - 4*k**3 - 3*k**3 - 2*k. Is 6 a factor of j(4)? False Let g(f) = 7*f**3 + 6*f**2 - 4*f - 14. Let s(m) = -6*m**3 - 5*m**2 + 4*m + 13. Let u(n) = -5*g(n) - 6*s(n). Does 19 divide u(5)? False Suppose -2*u + 7120 = s + 434, -3352 = -u - 5*s. Is u a multiple of 46? False Suppose 5*l = 10*l - 50. Suppose 6*b + 112 = l*b. Is b a multiple of 4? True Let z(u) be the first derivative of 9*u**2/2 - 27*u - 23. Does 9 divide z(11)? True Does 35 divide 315/(-10)*(-200)/6? True Let x = 1590 - 887. Does 14 divide x/5 + 16/40? False Let n = -16 + 0. Let r = -5 - n. Is r a multiple of 2? False Let g(k) = -k**3 + 5*k**2 + k. Let o be g(5). Suppose -3*m + 11 = 6*i - i, 0 = o*m - 2*i - 39. Suppose 3*h + 72 = m*h. Is 3 a factor of h? True Let n = 21 + -17. Is 2 a factor of n/(-18) - (-296)/36? True Let r = 68 + -73. Does 7 divide (-213)/r + (-15)/25? True Does 3 divide 1668/26 + (176/104)/(-11)? False Suppose -37*h + 42*h = 10. Suppose 6*z + 5*k = 3*z + 159, z + h*k - 54 = 0. Does 4 divide z? True Let k = 136 + -11. Let u = 225 - k. Is u a multiple of 25? True Let y = -5816 + 10701. Is 9 a factor of y? False Let q = -86 + 146. Is 5 a factor of q? True Let s(t) = -t**2 + 25*t + 5. Let p be s(8). Suppose 13 = -4*k + p. Is k a multiple of 8? True Suppose 2*g + x - 2477 + 296 = 0, 5*x = 2*g - 2211. Does 103 divide g? False Suppose 4*y - 5*a = 3714 + 20574, -4*a + 30401 = 5*y. Is y a multiple of 48? False Suppose 2280 = 24*m - 4*m. Does 6 divide m? True Does 35 divide (-7)/((-21)/1233) + -2? False Let a(i) = 6*i**2 + 7*i + 7. Let w(o) = 12*o**2 + 13*o + 15. Let y(c) = -5*a(c) + 3*w(c). Does 15 divide y(-4)? True Let n be -2 + 1 + 2 - 39. Let x = n - -54. Does 8 divide x? True Let n(i) = -11*i**2 - 12*i + 8. Let j be n(-7). Is (-1)/(j/111 - -4) a multiple of 5? False Let r = -246 - -140. Let g = -58 - r. Is 24 a factor of g? True Let b(w) = w**3 - 11*w**2 - 39*w - 75. Is 8 a factor of b(15)? True Suppose -153*z = -156*z + 3*o + 450, -710 = -5*z - 5*o. Is z a multiple of 2? True Let g = -31 - -64. Let u be g/(-9) - (-12)/18. Is 6 a factor of 15/(-2)*4/u? False Suppose 0 = 5*f - 3*g - 1145, g + 3*g = -20. Suppose 0 = 5*i - 3*r - 0*r - 422, -5*r = 3*i - f. Is i a multiple of 21? False Suppose 952 = k - 5*k. Is 16 a factor of k/(-5) + (-4)/(-10)? True Is 56 a factor of 15/195 + 2118/13? False Let x = -1303 + 3671. Is x a multiple of 17? False Is 41 a factor of 327 + (16/96)/(2/12)? True Suppose 3*f - 4*d - 3 = 41, 2*d + 50 = 5*f. Is 2 a factor of f? True Let g be 1/2*64 + -2. Let y = g + -34. Let t(u) = -u**3 - 4*u**2 - 4*u + 7. Is 5 a factor of t(y)? False Suppose -3*n - 153 = -5*r, 2*n = -r + n + 37. Let w = 48 - r. Let f = 22 - w. Is f a multiple of 4? False Let c be (8 + -7)/((-2)/(-1030)). Suppose -4*k = 3*f - 2*f - 521, 4*k = -3*f + c. Suppose -p + k = p - 3*m, m = 5*p - 360. Is 21 a factor of p? False Let h(r) be the second derivative of r**4/3 - 11*r**3/6 - 3*r**2/2 + 11*r. Is 31 a factor of h(-3)? False Let v = 438 - 168. Is v a multiple of 15? True Let z = -231 - -160. Let v = z - -137. Is 16 a factor of v? False Is (-2613 + -2)*(-12 - (-77)/7) a multiple of 26? False Suppose 3*b - 2*b = 2*n + 1540, 4*n = 4*b - 6164. Does 34 divide b? False Let o(m) = -m + 3. Let k be o(3). Does 17 divide k/3 - (-118 + 0)? False Let j = 217 - -83. Suppose 144 = 12*b - j. Is b a multiple of 37? True Let t = 182 - 134. Does 6 divide t? True Does 16 divide 7 + -7 + 222 + 2? True Let z(m) = 33*m + 315. Does 59 divide z(28)? True Suppose -5*y - 15*y + 21000 = 0. Does 30 divide y? True Suppose 0 = -3*p + 15 - 0. Suppose 0 = -5*r + y + 52, 2*r - p*y - 15 = 15. Is 7 a factor of r? False Let q(o) = o - 2. Let c be q(3). Let w be 0 + -23*(-1)/c. Suppose 5*z = 4*p + 33, -p = 5*z - 0*z - w. Does 5 divide z? True Let i(o) = o**3 - 7*o**2 + 3*o + 14. Let l be i(7). Suppose -31*b = -l*b + 492. Does 33 divide b? False Let h(b) = 4*b + 14. Let x = 115 + -110. Is h(x) a multiple of 16? False Let t(g) = 10*g + 1. Let o be t(9). Suppose 0*b + 3*b = 966. Suppose -s + 5*h + 71 = 0, b + o = 5*s + 4*h. Is s a multiple of 25? False Let d be 1*6 + -3*4/12. Suppose d*a = 5*b + 280, 4*a + b -
{ "pile_set_name": "DM Mathematics" }
3/55 What is prob of sequence oo when two letters picked without replacement from oooonn? 2/5 What is prob of sequence qgg when three letters picked without replacement from {h: 6, z: 6, g: 4, q: 2}? 1/204 What is prob of sequence hp when two letters picked without replacement from {p: 1, q: 1, h: 1}? 1/6 Three letters picked without replacement from {n: 3, m: 2}. Give prob of sequence nmn. 1/5 Four letters picked without replacement from zyyoruooouzzruuzyoyo. Give prob of sequence zuzr. 4/4845 What is prob of sequence assa when four letters picked without replacement from {s: 3, a: 3}? 1/10 Three letters picked without replacement from yxuyyxuyyyyry. Give prob of sequence uyx. 8/429 Calculate prob of sequence gcr when three letters picked without replacement from {c: 3, g: 2, w: 2, r: 5}. 1/44 Three letters picked without replacement from kiiiiikk. What is prob of sequence iik? 5/28 Calculate prob of sequence hz when two letters picked without replacement from zuduhzz. 1/14 Two letters picked without replacement from ccqcciqiiiqiciciiiiq. Give prob of sequence cq. 6/95 Three letters picked without replacement from pppjtjhjpfpmppjppj. What is prob of sequence tph? 1/544 Calculate prob of sequence sau when three letters picked without replacement from usuaaxuwuua. 1/66 Calculate prob of sequence tmpx when four letters picked without replacement from {x: 1, p: 1, m: 1, t: 1, i: 1}. 1/120 Two letters picked without replacement from {w: 2, m: 3, n: 5}. Give prob of sequence mm. 1/15 Two letters picked without replacement from {t: 1, a: 7, g: 5, j: 1, s: 2}. Give prob of sequence jt. 1/240 Calculate prob of sequence ar when two letters picked without replacement from aaarrayrajhajaajjxhr. 8/95 Calculate prob of sequence vwq when three letters picked without replacement from {v: 1, q: 5, w: 1, o: 3, n: 1, r: 3}. 5/2184 Two letters picked without replacement from smsemzsmtzmzts. What is prob of sequence sm? 8/91 What is prob of sequence hi when two letters picked without replacement from iidididhuihhhieihdii? 9/76 What is prob of sequence bix when three letters picked without replacement from {x: 4, b: 2, f: 2, i: 1, t: 1}? 1/90 What is prob of sequence hl when two letters picked without replacement from {h: 1, d: 1, l: 1}? 1/6 What is prob of sequence an when two letters picked without replacement from npnanprraappppprrn? 2/51 What is prob of sequence zwzz when four letters picked without replacement from {w: 5, z: 9}? 15/143 Three letters picked without replacement from {x: 5, g: 9}. What is prob of sequence ggx? 15/91 Two letters picked without replacement from {p: 17, v: 2}. What is prob of sequence vv? 1/171 Four letters picked without replacement from {s: 3, g: 4, j: 6, b: 3, f: 1, r: 2}. Give prob of sequence jgjg. 5/1292 Three letters picked without replacement from {o: 2, h: 1, y: 1, u: 1}. Give prob of sequence yhu. 1/60 What is prob of sequence gpp when three letters picked without replacement from {r: 1, y: 1, p: 1, g: 12, n: 3, l: 1}? 0 Two letters picked without replacement from {o: 2, y: 1, v: 3, i: 4, d: 4, g: 1}. Give prob of sequence gd. 2/105 What is prob of sequence ugp when three letters picked without replacement from {i: 3, g: 1, u: 13, p: 2}? 13/2907 Calculate prob of sequence qqtg when four letters picked without replacement from jttqogogtqgjt. 1/715 Calculate prob of sequence qz when two letters picked without replacement from zqk. 1/6 Four letters picked without replacement from {d: 1, s: 2, j: 1, t: 1, x: 1, c: 2}. What is prob of sequence jcdc? 1/840 Three letters picked without replacement from rggyx. What is prob of sequence yrx? 1/60 What is prob of sequence ll when two letters picked without replacement from jjlgllqlqgqqlgjlllj? 28/171 What is prob of sequence eeer when four letters picked without replacement from eerree? 2/15 What is prob of sequence xxwo when four letters picked without replacement from {o: 4, w: 1, x: 4, b: 2}? 1/165 Two letters picked without replacement from {b: 1, x: 9, p: 4}. What is prob of sequence xp? 18/91 Four letters picked without replacement from {s: 2, n: 4, l: 2}. What is prob of sequence nnls? 1/35 Calculate prob of sequence dt when two letters picked without replacement from {b: 2, x: 1, d: 1, t: 1, w: 1, k: 2}. 1/56 Three letters picked without replacement from mmmmsmmms. What is prob of sequence ssm? 1/36 Two letters picked without replacement from nymnwcncwnw. Give prob of sequence yn. 2/55 Four letters picked without replacement from tttttt. What is prob of sequence tttt? 1 Calculate prob of sequence tvkg when four letters picked without replacement from {v: 1, g: 1, t: 1, k: 2}. 1/60 Two letters picked without replacement from {g: 4, s: 3, f: 2, i: 2}. Give prob of sequence ss. 3/55 Calculate prob of sequence jii when three letters picked without replacement from {j: 1, q: 4, i: 3}. 1/56 Two letters picked without replacement from {z: 1, r: 1, j: 8, b: 1, q: 2, c: 2}. What is prob of sequence jz? 4/105 Three letters picked without replacement from {h: 9, j: 1, v: 1, r: 5}. What is prob of sequence jrh? 3/224 Four letters picked without replacement from ywzzzzyzw. Give prob of sequence zzwy. 5/189 Two letters picked without replacement from {a: 10}. What is prob of sequence aa? 1 Three letters picked without replacement from {e: 8, k: 6, u: 1}. What is prob of sequence kue? 8/455 Three letters picked without replacement from {y: 10, c: 10}. Give prob of sequence ccc. 2/19 What is prob of sequence tt when two letters picked without replacement from ttj? 1/3 What is prob of sequence hee when three letters picked without replacement from {e: 2, h: 2}? 1/6 Three letters picked without replacement from envlvlsssslss. What is prob of sequence len? 1/572 Calculate prob of sequence at when two letters picked without replacement from {g: 3, t: 4, a: 11}. 22/153 Three letters picked without replacement from {z: 2, q: 1}. Give prob of sequence qzz. 1/3 Calculate prob of sequence maam when four letters picked without replacement from ammammma. 1/14 Calculate prob of sequence ii when two letters picked without replacement from {i: 9, o: 11}. 18/95 Four letters picked without replacement from {n: 5, u: 2, d: 4, c: 8}. What is prob of sequence unun? 5/11628 Four letters picked without replacement from {y: 2, s: 1, u: 6, e: 2, p: 4}. What is prob of sequence eupp? 2/455 Two letters picked without replacement from symsy. What is prob of sequence sy? 1/5 Calculate prob of sequence bpom when four letters picked without replacement from zojopjjbbmzjj. 1/4290 Three letters picked without replacement from {h: 2, w: 1, c: 1, f: 2, r: 1, v: 1}. Give prob of sequence fwr. 1/168 What is prob of sequence hak when three letters picked without replacement from hhhchkcaaaohkackaaa? 35/1938 What is prob of sequence na when two letters picked without replacement from {y: 2, c: 1, f: 1, n: 2, a: 1}? 1/21 What is prob of sequence fj when two letters picked without replacement from {j: 2, c: 1, f: 1, k: 1}? 1/10 Two letters picked without replacement from fffefffddf. Give prob of sequence fe. 7/90 Four letters picked without replacement from igge. Give prob of sequence iegg. 1/12 Four letters picked without replacement from {v: 2, i: 1, e: 3, g: 2, u: 1, p: 3}. What is prob of sequence iegu? 1/1980 Calculate prob of sequence zzog when four letters picked without replacement from ogzabbzvzavzggvazb. 1/1224 Calculate prob of sequence jy when two letters picked without replacement from jwyywjywwjyw. 1/11 Two letters picked without replacement from {h: 1, p: 1, g: 4, d: 4, b: 3}. Give prob of sequence gh. 1/39 Calculate prob of sequence fqf when three letters picked without replacement from {q: 2, f: 4}. 1/5 Three letters picked without replacement from zbjpg. What is prob of sequence bzj? 1/60 Four letters picked without replacement from jojjjjjjjjjojjmjj. What is prob of sequence oojj? 13/2040 Two letters picked without replacement from socsssscsso. Give prob of sequence oc. 2/55 Two letters picked without replacement from zzqddiznddni. What is prob of sequence zn? 1/22 Three letters picked without replacement from {y: 2, o: 2, h: 3, a: 5}. Give prob of sequence yoa. 1/66 Two letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
culate the highest common divisor of z and 176. 22 Suppose 4*r - 1258 = -2*k, 2*r + 4 = 3*r. Suppose 211*j - 8100 = 111*j. Calculate the highest common divisor of j and k. 27 Suppose -128456 = -221*h - 36520. What is the greatest common divisor of 2548 and h? 52 Suppose 0 = 2*n - 13 + 9. Let o be (-3 + 4/8)*n. Let l be (-2)/6*-106 + o/15. What is the greatest common factor of 7 and l? 7 Suppose 0 = -2*s - 185*p + 184*p + 6385, 4*s = 3*p + 12805. What is the greatest common divisor of s and 306? 34 Suppose -69*m + 124*m - 990 = 0. Let z = 9 + -4. Let t = z - -19. What is the highest common divisor of m and t? 6 Let n be (1368/84 - 16)/(6/4956). Calculate the highest common factor of 84 and n. 4 Let o = 85 + -40. Let n = o + -37. Let g(z) = 2*z**2 - 9*z + 2. Let s be g(6). Calculate the greatest common factor of n and s. 4 Suppose -4*c + 119*h + 25 = 120*h, -c - 4*h = -10. What is the greatest common divisor of c and 363? 3 Suppose 3*h + 28 = -2*h + k, -4*k + 7 = h. Let u be (-3 - 9/6)*-6 - h. What is the highest common divisor of 208 and u? 16 Let j = -166 + 203. Suppose -j*b = -32*b - 35. Calculate the highest common factor of b and 7. 7 Let t(b) = 3*b**2 - 6*b + 10. Let z be t(-6). Suppose -5*i = 11*q - 7*q - 114, -4*i = q - 89. Calculate the greatest common factor of z and i. 22 Let b = -1512 + 1607. What is the highest common divisor of b and 1045? 95 Let r be 41/9 + (-20)/(-45). Suppose -r*v + 886 = -714. What is the highest common divisor of v and 10? 10 Let n be ((-14)/(-6))/(92/(-24) + 4). Suppose 0 = -3*g + 163 + 53. Let d = 114 - g. What is the highest common factor of d and n? 14 Suppose 2 + 8 = 2*y. Suppose y*h - 840 = -210. Suppose -30*t = -24*t - h. Calculate the greatest common divisor of 126 and t. 21 Let g(o) be the first derivative of 3*o**2/2 - 24*o + 27. Let k be g(8). Suppose -5*t + 16 + 64 = k. Calculate the greatest common divisor of 16 and t. 16 Let q(a) = -13*a - 11. Let k be q(-7). Suppose 181 = 3*y - f, 0 = 58*f - 59*f - 1. Calculate the greatest common divisor of k and y. 20 Let t = -386 + 380. Let q be 11 + t/(-8) + 45/20. Calculate the highest common divisor of 42 and q. 14 Suppose 28*g - 1330 = 35*g. Let x = g + 323. Calculate the greatest common divisor of x and 7. 7 Suppose -89*l = -b - 90*l + 18, l = -2*b + 27. Calculate the highest common divisor of b and 2403. 9 Let l(r) = 27*r - 189. Suppose 2*k = -392 + 436. Let m be l(k). Calculate the highest common divisor of m and 15. 15 Let s(x) = 3*x**2 + 158*x + 1380. Let u be s(-10). What is the highest common divisor of 10850 and u? 50 Let c be -26*(-6)/(-12) - -1637. Calculate the greatest common factor of 168 and c. 56 Let t = -26 - -28. Suppose -2*r + 12 - t = 0. Suppose 48 = 2*o - r*u, 3*o - 8*o + 3*u = -82. What is the greatest common factor of o and 14? 14 Let h(c) = c**2 - 2*c - 11. Let l(o) = o**3 + 5*o**2 - 8*o + 9. Let z be l(4). Let r = 115 - z. Let m be h(r). Calculate the highest common divisor of m and 37. 37 Suppose -4*n - 5*r + 81796 = 0, -29435 = -5*n - 2*r + 72844. Calculate the highest common divisor of n and 123. 41 Let d = 1195 + -1021. What is the highest common factor of 3422 and d? 58 Let w be 34425/297 + -2 + 46/22. Let v(c) = -c**3 - 6*c**2 + 5*c - 9. Let t be v(-7). Suppose t*b = -w + 156. Calculate the highest common factor of b and 8. 8 Let q be 13040/96 + 35/(-42). Calculate the highest common factor of q and 1515. 15 Suppose -35*y = -22591 - 190489. Let o be y/76 + 1 + (-21)/19. Calculate the greatest common divisor of 440 and o. 40 Let z be (75/(-10) - -6)*174. Let y = z - -275. What is the highest common factor of 133 and y? 7 Suppose -4*r + 1811 + 529 = 5*q, -r + 5 = 0. Let w = 22 - 6. Calculate the greatest common divisor of q and w. 16 Suppose 2*c - y = 49, -5*c + 7*y - 3*y + 127 = 0. Let p be (2059/284)/((-1)/(-92)). Calculate the highest common factor of p and c. 23 Suppose -44*f + 3776 = -36*f. Suppose -941 = 3*m - 1472. Calculate the greatest common divisor of m and f. 59 Suppose 0 = -15*z + 225 + 150. Let k be ((-3)/9)/(z/(-450)). What is the highest common factor of k and 186? 6 Let z(h) = 32*h + 5 + 10 - 10 + 26. Let i be z(9). What is the greatest common factor of i and 87? 29 Let p = -5474 - -5522. What is the highest common divisor of 1452 and p? 12 Let g(k) = k**3 - 15*k**2 - 31*k - 38. Suppose -4*p = -2*z - 76, -3 = -2*z - 11. Let d be g(p). Calculate the highest common divisor of d and 143. 13 Suppose 0 = 4*n + 4, -5*h + 3912 = -5*n + 8*n. What is the highest common factor of 405 and h? 27 Suppose -2*y + 1187 - 147 = -2*d, 3*y = 8*d + 1520. What is the highest common factor of 1287 and y? 33 Let l be -28*(-24)/(-14)*4/(-8). Let u = l - -42. Let n = 376 + -266. Calculate the greatest common divisor of u and n. 22 Suppose 189266 - 15440 = 74*l. What is the greatest common divisor of l and 135? 27 Suppose 648*d - 658*d + 6620 = 0. Suppose -n - 3*j + 139 = 0, 6*j + d = 5*n + 10*j. Calculate the greatest common divisor of 80 and n. 10 Suppose y + 5 - 14 = 0. Let f = -15 + y. Let g(k) = -k**3 - 4*k**2 + 8*k + 5. Let d be g(f). Calculate the highest common divisor of 319 and d. 29 Let k be 4 - (1121/57)/((-1)/3). Calculate the highest common divisor of 24507 and k. 63 Let j(h) = -4*h**3 + 26*h**2 + 57*h - 3. Let s be j(-2). Calculate the highest common divisor of 2033 and s. 19 Let s(t) = 12*t**2 + 7*t - 5. Let l be s(2). Let k(f) = -f**2 + 5*f - 19. Let x be k(8). Let v = l + x. What is the greatest common factor of 14 and v? 14 Let r(m) = 4*m**2 + 70*m + 40. Suppose -2*b = -4*s - 70, -s - 23 = 9*b - 4*b. Let n be r(s). Calculate the greatest common factor of 4 and n. 4 Suppose -4 + 2 = -2*h, -2*t + 62 = -2*h. Let j = t + -74. Let b be ((-1)/2 + 1)/(j/(-840)). Calculate the highest common divisor of b and 90. 10 Let c be (-5)/(-10)*-8 + (889 - 49). Calculate the highest common factor of 380 and c. 76 Suppose -11616 = -4*j - 4*o, 4*j + 288 = -9*o + 11929. Calculate the greatest common factor of 39 and j. 13 Let q = 21328 + -10270. Calculate the highest common divisor of q and 114. 114 Let o be (17 - 21)*(-1 - 6). Suppose -o*u + 27 = -19*u. What is the highest common divisor of 21 and u? 3 Let j be (-1120)/(-48)*(2 - -1). Let m be (30/(-35))/((-2)/j). What is the greatest common divisor of m and 20? 10 Let d be 1*((-53702)/(-4) + (-49)/(-14)). Calculate the highest common divisor of 26 and d. 13 Suppose 2*q = -4*k + 200, -8*k + 18 = 5*q - 490. Calculate the highest common divisor of 5148 and q. 36 Suppose -3*a + 282 + 81 = 0. Suppose z = 971 - a. Calculate the greatest common factor of 50 and z. 50 Let t = 74 + -69. Suppose -d + t = 0, -2*c = 3*d - 87 - 136. Suppose i + 8 = 21. Calculate the highest common factor of i and c. 13 Suppose 2*t + 4*j = 1 + 7, 0 = -3*t + 3*j + 57. Let a(b) = -1211*b + 9842. Let i be a(8). What is the highest common divisor of i and t? 14 Let h = 15695 - 13910. Calculate the greatest common divisor of 2040 and h. 255 Let c(l) = 10*l**2 - 128*l + 391. Let y be c(3). Calculate the greatest common divisor of 30361 and y. 97 Let n(o) = 3*o**3 - 5*o + 572. Let j be n(0). What is the greatest common factor of 11 and j? 11 Suppose 0*x - 85 = -5*x. Let j(c) = -91*c - 4068. Let k be j(-49). What is the greatest common divisor of x and k? 17 Let b = -3319 - -3676. Calculate the greatest common factor of 2703 and b. 51 Suppose -9*v + l + 85 = -8*v, -5*v + 475 = 5*l. Let n be ((-3 - (-252)/20) + 0)*v. What is the greatest common factor of 27 and n? 27 Let p be (-126)/18 + 6 + 1. Suppose -3*r + 178 - 148 = p. Calculate the highest common factor of r and 16. 2 Let k be (-12)/(-3) + 21 + (3 - -68). Calculate the highest common factor of 48 and k. 48 Let m be (-24)/(-4) + (-1 - 2). Suppose m*y = -2*g + 73, -4*y = -3*y + 1. What is the greatest common divisor of 114 and g? 38 Let z = -409 + 237. Let u = z - -337. What is the highest common divisor of u and 66? 33 Let t be 6/(-4) + (-1173)/(-46). Let w = 695 + -693. What is the highest common divisor of t and w? 2 Suppose 104336 = 7*o + 4*w, -3*o - 15274 + 59996 = 5*w. What is the highest common factor of 432 and o? 216 Suppose -200 = y - 320. Calculate the highest common divisor of 1960 and y. 40 Let g(y) = 0*y - 4*y - 4 + 1 + 56*y**2 + 23*y**2. Let i be g(-1)
{ "pile_set_name": "DM Mathematics" }
68*p - 329*p = -200896 for p. -64 Solve -1090*g - 10698 - 23092 = 0 for g. -31 Solve -125*d - 16788 = -11715 - 13073 for d. 64 Solve 786*p - 72968 - 15816 = -73*p - 3743 for p. 99 Solve 68*p + 283 - 1683 = -24*p + 52*p for p. 35 Solve -5650 - 3807 + 384 = 9073*g for g. -1 Solve 194*w - 1957 + 5059 = 259*w - 159*w for w. -33 Solve -128*a = -6233 + 1369 for a. 38 Solve -484*k - 626 - 12621 = 7081 for k. -42 Solve 246*t + 27060 = 1990*t + 60*t for t. 15 Solve -2451 = -213*q + 5690 - 473 for q. 36 Solve 6569 = -72*h + 9305 for h. 38 Solve 104*a + 83*a + 114*a - 10361 = 7699 for a. 60 Solve 104*b = 103*b + 23*b - 11 + 143 for b. -6 Solve 31*y + 325*y = 31*y + 5850 for y. 18 Solve 7017*j - 9156*j + 205680 = 8497*j - 241032 for j. 42 Solve -3496 = -2446*a + 143264 for a. 60 Solve 886*y - 1802*y - 2277 = -1015*y for y. 23 Solve -127*r + 7*r - 217*r = -17861 for r. 53 Solve -102 + 2333 = -42*p - 55*p for p. -23 Solve -233*u + 244*u + 3366 = 209*u for u. 17 Solve -16*z - 303*z + 4705 = -39*z - 8455 for z. 47 Solve -2362*w + 11614 + 37152 = 684*w - 27384 for w. 25 Solve -7761*k - 8042 + 179257 + 348772 = 0 for k. 67 Solve -87*r - 17001 = -10824 for r. -71 Solve -1118 = -2591*g + 2548*g for g. 26 Solve 1471*p = -2053*p - 1585 - 206331 for p. -59 Solve -34669*k + 34734*k + 1230 = -460 for k. -26 Solve 1668*c + 45154 = 1326*c + 8902 for c. -106 Solve 66*i - 182 - 1434 = 760 for i. 36 Solve -397 = -2630*a + 26349 + 31114 for a. 22 Solve 2457 = 88125*v - 88216*v for v. -27 Solve -117*h - 199*h + 113*h - 209*h = 6180 for h. -15 Solve -3559*n + 7096*n + 1159 = 3555*n + 97 for n. 59 Solve -1993*y = -2133*y + 4418 + 5802 for y. 73 Solve 71*l = -207*l - 147*l - 14450 for l. -34 Solve -65175*i + 183 = -65188*i + 14 for i. -13 Solve -982929*u + 982144*u + 41212 + 4318 = 0 for u. 58 Solve -1378 + 689 - 1403 = -52*u + 40 for u. 41 Solve 224*o - 783 - 738 = -3950 - 2947 for o. -24 Solve -126*h - 138*h - 9*h + 20*h = -10879 for h. 43 Solve -109*j - 123*j - 33264 = 23*j + 207*j for j. -72 Solve 1322*o + 2933*o = 687*o + 24599 - 6759 for o. 5 Solve -258*z - 8044 = 5114 for z. -51 Solve 29558 = 59*u + 1678*u - 8656 for u. 22 Solve -51*z + 2976 = 4047 for z. -21 Solve -10758*n + 5290*n + 3744 = -5372*n for n. 39 Solve -4128*y + 357*y + 9478 = 1618*y + 4089*y for y. 1 Solve 363931 + 31244 = -8043*n - 13580*n - 37285 for n. -20 Solve 0 = 8316*m - 229665 - 310875 for m. 65 Solve 2061*f - 13794 = 2479*f for f. -33 Solve -2857680 = 4340*s - 19490*s - 4695*s for s. 144 Solve 107440 = 260*l + 1083*l for l. 80 Solve -4*g - 165 = 8*g + 30 + 117 for g. -26 Solve -679*u - 1157*u - 44013 - 1573 = 97622 for u. -78 Solve 2690*x - 1053*x + 1977*x + 1245*x + 286681 = 0 for x. -59 Solve 178*g + 303*g - 24660 = 1166*g for g. -36 Solve 29*y = -18*y + 4*y - 1075 for y. -25 Solve -17141 = 471*m - 59531 for m. 90 Solve 621*y + 161 - 31 = 634*y for y. 10 Solve -127022 - 78331 - 37118 = 3376*o - 6151 for o. -70 Solve -9094*w = 162865 + 200560 + 118557 for w. -53 Solve 0 = 143*g - 55*g - 55*g + 1749 for g. -53 Solve 0 = 610*z - 2045011 + 1973031 for z. 118 Solve 166*s + 259*s - 7213 = -127*s - 81733 for s. -135 Solve -3797*g = -3525*g + 2448 for g. -9 Solve 9248*a + 7176*a - 396835 + 1204619 = -900312 for a. -104 Solve 2546 + 7199 = -237*t + 28 for t. -41 Solve 0 = -957*k + 342*k - 4920 for k. -8 Solve 143257 - 144073 = 34*n for n. -24 Solve 113*l + 18229 = 43970 - 20317 for l. 48 Solve -14658 = -809*j + 40827 + 6808 for j. 77 Solve -3074 - 1596 = 428*u + 3462 for u. -19 Solve -233331*m = -233358*m - 405 for m. -15 Solve -1780*s = 4312*s - 615292 for s. 101 Solve -111*l - 1234 - 335 = 873 for l. -22 Solve 315*l - 71*l + 11528 - 4683 + 6087 = 0 for l. -53 Solve 11518 + 10973 - 3402 = 707*a for a. 27 Solve 333*y - 730*y - 1704 = -346*y + 1764 for y. -68 Solve -107 + 166 = 79*r - 85*r - 223 for r. -47 Solve -64*h - 462 = -9*h + 107 + 806 for h. -25 Solve 130 + 404 + 2378 = 940*d - 1788 for d. 5 Solve 554*n + 313 + 221 = -569 - 5 for n. -2 Solve 2761*t + 327752 = -1058*t - 2365*t for t. -53 Solve 627 + 8323 = -114*f - 104*f - 7618 for f. -76 Solve -63*l = 10*l + 134*l - 8073 for l. 39 Solve 235*q - 4750 - 12839 = -298*q for q. 33 Solve 23233 + 91024 + 122954 = -3341*k for k. -71 Solve -111*d = 601*d - 7080 + 52648 for d. -64 Solve 5295 + 29745 = 876*q for q. 40 Solve -495409 - 551689 + 89192 = -10710*d - 79686 for d. 82 Solve 124*f + 645 + 1822 = 82*f - 11 for f. -59 Solve 402*t - 17987 - 35775 + 8976 = -55*t for t. 98 Solve -774*k - 2858*k - 1201*k + 367308 = 0 for k. 76 Solve 1021*q - 1529*q - 19304 = 0 for q. -38 Solve 222*z + 37*z + 7211 + 3149 = 0 for z. -40 Solve 0 = 12160*a - 699*a + 190018 + 245500 for a. -38 Solve -804968 = -60*r - 809468 for r. -75 Solve 469*l - 7538*l - 1056*l - 1086*l - 589504 = 0 for l. -64 Solve -32*i + 50*i = -51*i + 2277 for i. 33 Solve 26*v = 84*v - 426*v - 19504 for v. -53 Solve -99284*x - 47190 = -98921*x for x. -130 Solve 0 = -10*u - 656*u - 19980 for u. -30 Solve -21007 + 392 = 1085*n for n. -19 Solve 71*c + 45*c = -33*c + 113*c - 612 for c. -17 Solve -58356*k = -58148*k + 8528 for k. -41 Solve 826062*j - 14300 = 825919*j for j. 100 Solve -25*a + 16*a + 10106 = a + 153*a for a. 62 Solve 0 = -4229*r + 4968*r - 59120 for r. 80 Solve 2319*n + 56535 + 34195 + 44629 = 28685 for n. -46 Solve 695*s + 162*s + 216*s - 36482 = 0 for s. 34 Solve -1298*m + 314197 - 258383 = 0 for m. 43 Solve 1348*n - 11758 = 8978*n + 79802 for n. -12 Solve -81*t = 35*t + 5*t + 65*t + 3162 for t. -17 Solve -676*l - 1648 - 5112 = 0 for l. -10 Solve 551551 = -600*z + 6661*z for z. 91 Solve -23*x + 29*x = 7*x + 3*x + 12*x for x. 0 Solve 10*a - 527 + 2291 = 13*a - 31*a for a. -63 Solve -1641 = 84*j + 1282 - 403 for j. -30 Solve -34116*u + 34409*u = -14650 for u. -50 Solve 210*f - 53 - 1459 = -2*f + 5272 for f. 32 Solve 59984001*h - 59984108*h + 7383 = 0 for h. 69 Solve -181*g + 578*g + 2327 = 21780 for g. 49 Solve 7954*p - 7888*p + 42 - 306 = 0 for p. 4 Solve -7802 - 14225 + 2163 = 382*o for o. -52 Solve 14184 - 632 = 112*l + 1169*l - 313*l for l. 14 Solve 53*z - 20766 + 10515 = -10675 for z. -8 Solve 772 + 6892 = 170*t + 524 for t. 42 Solve 406 = -4206*y + 4003*y for y. -2 Solve -150*y = -11082 + 132 for y. 73 Solve 0 = -320*q + 614*q + 1146*q - 138240 for q. 96 Solve -85*k = 89*k - 4060 + 24244 for k. -116 Solve 42*t + 59 - 387 = 428 for t. 18 Solve 10*h + 2705 + 3384 - 5529 = 50*h for h. 14 Solve 867*c - 13285 - 1874 - 1588 = 22268 for c. 45 Solve 16*n = -151*n - 3340 for n. -20 Solve -2643 = 44*z + 382 - 124 + 91 for z. -68 Solve 142*f - 81*f + 67*f = -93*f + 8398 for f. 38 Solve -21969789*u = -21969748*u + 902 for u. -22 Solve 803 + 709 = -189*y for y. -8 Solve 113*t + 373*t = -271*t - 101*t + 61776 for t. 72 Solve -869*l - 57738 + 6945 = 12644 for l. -73 Solve -1484 = -49*u - 6*u + 1156 for u. 48 Solve 137*b - 133*b - 3195 = -252*b + 13189 for b. 64 Solve 5437 = 925*i - 24937 - 23456 + 4805 for i. 53 Solve 0 = -557*i + 286*i + 289*i - 1692 for i. 94 Solve 0 = 2964*x - 8454*x - 7362*x - 1593648 for x. -124 Solve -6193*t - 8353*t - 1381870 = 0 for t. -95 Solve -58209*u = -58316*u + 7597 for u. 71 Solve -92*j - 252 = 8*j + 58*j + 380 for j. -4 Solve 10966 + 14034 - 10595 + 10327 = 4122*w for w. 6 Solve -134*j + 5681 + 791 = -1816 - 1896 for j. 76 Solve 141*l - 165*l + 2450 + 4588 = -126*l for l. -69 Solve -560*o = 85*o + 2945 + 6142 + 10263 for o. -30 Solve 0 = 361464*u - 361810*u + 346 for u. 1 Solve -268*f - 32629 + 2569 = 233*f for f. -60 Solve -1754*a - 35114 + 212720 = -512*a for a. 143 Solve -10071 - 7559 = -410*x for x. 43 Solve 794*q + 1161 + 17794 = -2703 - 15660 for q. -47 Solve -13103*b = -2163*b + 26845 + 410755 for b. -40 Solve 2092*a + 97*a + 1290*a = 215698 for a. 62 Solve 2657*q + 11843 = 57012 for q. 17 Solve 1221*l = -2496*l - 64325 - 47504 - 126059 for l. -64 Solve -83*o - 133*o + 758 = 13*o + 71 for o. 3 Solve -719 = -225*h + 1122 + 4009 for h. 26 Solve -798*n - 20*n = 17210 + 13056 for n. -37 Solve -1169 + 20733 + 14111 = -638*r + 2413 for r. -49 Solve -110 + 959 = 13*z + 374 + 137 for z. 26 Solve -102*f - 118 = 132*f + 302*f + 954 for f. -2 Solve -419428 - 117853 = -1030*q + 9816*q + 104097 for q. -73 Solve -1612*q = -794*q - 805*q + 403 for q. -31 Solve -19379*u + 177
{ "pile_set_name": "DM Mathematics" }
)/sqrt(7))/sqrt(11))**2. -sqrt(2)/7 + 2 Simplify 4*sqrt(44)/(sqrt(16)/sqrt(4)) + (-1 + sqrt(891) + 4)**2. 58*sqrt(11) + 900 Simplify (0 + sqrt(176))**2*4 - -3*(-5*sqrt(44) - sqrt(44))**2. 5456 Simplify sqrt(38)/(sqrt(8)/sqrt(4)) + ((sqrt(152)*1 - sqrt(152))/sqrt(8))**2 + -2*(-4 + (sqrt(684) - (sqrt(684) - sqrt(684)*2 - sqrt(684)))). -35*sqrt(19) + 8 Simplify (-1*sqrt(1377) + 1 - -4*1*sqrt(1377) - (sqrt(1377) + -1 + -5 + -4))**2. 396*sqrt(17) + 5629 Simplify ((6*sqrt(40)/sqrt(4))/sqrt(128) + 2 + -4 + sqrt(405) + sqrt(405) + sqrt(405) + 1)**2. -111*sqrt(5)/2 + 61621/16 Simplify (sqrt(60)/(sqrt(27) + sqrt(3) - sqrt(3)))/sqrt(10) + (sqrt(98) + 1 - (1*sqrt(98) - sqrt(2))). 1 + 4*sqrt(2)/3 Simplify (5*sqrt(100)/sqrt(2) - (sqrt(3200) + sqrt(3200) + 1*sqrt(3200) - sqrt(3200)))/(-6*sqrt(1210)*2). sqrt(5)/12 Simplify (1*sqrt(130)*1*-4)/((sqrt(10) - -1*sqrt(360)) + (sqrt(10) - sqrt(90)/(-1*sqrt(9)))). -4*sqrt(13)/9 Simplify ((-3*sqrt(2)*-1)**2 + -1*sqrt(162))*4. -36*sqrt(2) + 72 Simplify (sqrt(76) - -5*(-2*sqrt(76) - sqrt(76)) - (-1 + -1*sqrt(76))**2)*6. -192*sqrt(19) - 462 Simplify -1*-2*sqrt(405) + ((sqrt(10) - sqrt(100)/(sqrt(10)*2))/sqrt(2))**2. 5/4 + 18*sqrt(5) Simplify -2 + (sqrt(75) - ((-2 + sqrt(75))**2 + 4)) - (sqrt(75) + (1*(sqrt(75) + 1) - sqrt(75)) - (sqrt(75)*1 + 2))**2. -86 + 25*sqrt(3) Simplify (-3*2*sqrt(228)*1)/(3*sqrt(1452)*-1 + sqrt(1452) + sqrt(1452)). 6*sqrt(19)/11 Simplify -5 + ((-6*sqrt(560))/sqrt(7))**2 + (-1*sqrt(20))/sqrt(4) + 0. -sqrt(5) + 2875 Simplify -2 + -5*sqrt(76) + sqrt(76) + -4 + 5. -8*sqrt(19) - 1 Simplify ((sqrt(88)*1*-3)/(((sqrt(77) - (sqrt(77)*1 - sqrt(77)))*5)/sqrt(7)))**2. 72/25 Simplify 4 + 4 + (3*sqrt(567))/(((sqrt(81) - sqrt(9)) + sqrt(9))*-2). -3*sqrt(7)/2 + 8 Simplify (3 + 2 + sqrt(153) - (sqrt(153) - -1*(3 + sqrt(153))))**2. -12*sqrt(17) + 157 Simplify -4*(4 + sqrt(7)*-1 + 4 - (0 + sqrt(7)*-1 + (0 + sqrt(700) - sqrt(700))**2 + sqrt(700))). -32 + 40*sqrt(7) Simplify ((sqrt(315)*2)/sqrt(9) - (sqrt(1260) - sqrt(1260)*2))/(sqrt(112) - (2*sqrt(112) + sqrt(112))*5). -sqrt(5)/7 Simplify ((1*((-2*sqrt(66) - sqrt(66)) + sqrt(66)))/(sqrt(150)*2) - -3*(0 + sqrt(1584)*-1))**2. 360371/25 Simplify (1 + ((2 + sqrt(162)*-2 - sqrt(162)) + 1 + sqrt(162) + 1)**2)*-6. -3990 + 864*sqrt(2) Simplify -4*sqrt(68)*-2 + (sqrt(153) + -3 + 2)**2. 10*sqrt(17) + 154 Simplify ((-5*(-1*sqrt(252) + sqrt(252) - sqrt(252)))/sqrt(12))/(4*2*sqrt(567)). 5*sqrt(3)/72 Simplify (sqrt(8) + (sqrt(8) - 6*(sqrt(128) + sqrt(8))))/sqrt(4) + sqrt(2) + -3 + -4 + -3. -27*sqrt(2) - 10 Simplify 1 + (sqrt(15)/sqrt(3)*-4 + sqrt(5))*-3 + 2 + 1. 4 + 9*sqrt(5) Simplify sqrt(270)/sqrt(6) + sqrt(5) + (sqrt(5) - ((-2*sqrt(320))**2 + sqrt(320))) + ((sqrt(15) - (sqrt(240) - (2*sqrt(240) - sqrt(240))))/sqrt(3))**2. -1275 - 3*sqrt(5) Simplify (3*(((sqrt(170) - (1*sqrt(170) - sqrt(170)) - sqrt(170)) + sqrt(170))*5 - sqrt(170)))/(sqrt(80)/(sqrt(32)/sqrt(4)) - sqrt(10)*1*-2). 4*sqrt(17) Simplify ((sqrt(114)*1*-1 + sqrt(114))*5)/((sqrt(294)*1 - sqrt(294)) + (sqrt(150)*2 - sqrt(150) - sqrt(6))). 0 Simplify -3 + (((sqrt(102) + -1*sqrt(102))/sqrt(2))/(sqrt(24)/(sqrt(32)/sqrt(4)) + sqrt(3))*1)**2. -3 Simplify -5 + 3*(1 + sqrt(700))*-5*-4. 55 + 600*sqrt(7) Simplify ((5*(sqrt(1100) + 0) + 2)*-3 + -4)*2. -300*sqrt(11) - 20 Simplify ((sqrt(216)/(sqrt(12) - sqrt(972)*-5 - sqrt(12)))/(sqrt(9)*1*-2*1))**2. 1/4050 Simplify (sqrt(170) - 6*sqrt(170)*-4 - sqrt(170) - sqrt(170))/(sqrt(90)/(sqrt(9) + sqrt(63)/sqrt(7))). 46*sqrt(17) Simplify sqrt(176) - (1*sqrt(176) + 3) - ((1 + sqrt(11))**2*2 - (-4 + sqrt(11) + 0)). -31 - 3*sqrt(11) Simplify (-3*(-2 + (1*sqrt(162) - sqrt(162)) + (sqrt(162) + 0 + 5 - sqrt(162)))*-3)**2. 729 Simplify 2 + ((sqrt(1584) + sqrt(1584)*3 + -3 - sqrt(1584)) + (sqrt(1584) - -6*sqrt(1584)*1))**2 + -3. -720*sqrt(11) + 158408 Simplify 5*((-2*((sqrt(11) + -2)**2 - sqrt(11)) - (-1*sqrt(110))/sqrt(10)) + 2). -140 + 55*sqrt(11) Simplify (((sqrt(147) + 1 + sqrt(147))*1 + 0 + 0)*-1)**2. 28*sqrt(3) + 589 Simplify (-1*((sqrt(192) + 4 - sqrt(192)) + -2)*4 + 5)**2. 9 Simplify (-2*sqrt(76)*-5 + sqrt(76) - sqrt(76))/(3*sqrt(64)) + -2. -2 + 5*sqrt(19)/6 Simplify ((sqrt(12) - sqrt(144)/(sqrt(36)/sqrt(3))) + 6*(sqrt(12)*1 + sqrt(12)))/(sqrt(600) + -2*sqrt(600)*2). -2*sqrt(2)/5 Simplify sqrt(432)*2 + (sqrt(3) + (2*sqrt(75))**2 - sqrt(3)) + ((1*sqrt(147))**2 - sqrt(6)/(-2*sqrt(2) + sqrt(2))). 25*sqrt(3) + 447 Simplify (-3*(1 + ((sqrt(85) + 3*sqrt(85) - sqrt(85))*5)/sqrt(5) + 4))**2. 1350*sqrt(17) + 34650 Simplify (1*sqrt(152)*-1 - sqrt(152))/(sqrt(4)/(sqrt(72)*5)). -120*sqrt(19) Simplify (2*((sqrt(2448) - (-3 + sqrt(2448)))*-3 + (sqrt(2448) - (sqrt(2448) - -1*(sqrt(2448) + -3)))))**2. 576*sqrt(17) + 9936 Simplify 0 + (sqrt(102) - 4*-3*sqrt(102))/(sqrt(384) + 2*sqrt(384) + sqrt(384) + sqrt(384)). 13*sqrt(17)/40 Simplify (-1*sqrt(128)*-4 + (sqrt(20)/sqrt(45))/sqrt(2))**2*-2. -37636/9 Simplify -5*(-1*(-2 + sqrt(4212))*-2)**2 + 3. -84317 + 1440*sqrt(13) Simplify -6*((sqrt(108)*-4)/sqrt(3))/(sqrt(18)/sqrt(9)*5). 72*sqrt(2)/5 Simplify (-4 + ((-1*sqrt(108)*5)**2 - (1*sqrt(27)*3)**2))*-3. -7359 Simplify (sqrt(2420)*-1 + sqrt(2420))/sqrt(10) - (2 + sqrt(72) + -1). -6*sqrt(2) - 1 Simplify (sqrt(14) + 2*sqrt(224) - sqrt(14))/sqrt(2) + sqrt(448)*2 + ((sqrt(175) + 0 + sqrt(7))**2 - sqrt(7)). 23*sqrt(7) + 252 Simplify (sqrt(1573) + (sqrt(1573) + -2 + sqrt(1573))**2 - sqrt(1573)) + 3 + sqrt(1573) + sqrt(78)/(sqrt(270)/sqrt(5)). -230*sqrt(13)/3 + 6299 Simplify -3*(-1 + sqrt(468) - sqrt(468)) + 5 - (-4 + -3 + 1 + sqrt(325))**2. -353 + 60*sqrt(13) Simplify -2*(-6*-1*sqrt(121) - sqrt(121))/(sqrt(44)*4). -5*sqrt(11)/4 Simplify -4 + ((-1 + -4 + sqrt(704))**2 - sqrt(704) - -2*(-4*sqrt(704))**2). -88*sqrt(11) + 23253 Simplify 2 + (-1*sqrt(28)*-3)/(sqrt(196)*-3). -sqrt(7)/7 + 2 Simplify (3*((1*sqrt(6))/sqrt(2) - sqrt(18)/sqrt(96))*1)**2. 243/16 Simplify -4 + (2*(2*sqrt(24))/sqrt(12))**2 - (sqrt(2)*-1 + -5 - (5 + sqrt(8)/sqrt(4))). 2*sqrt(2) + 38 Simplify ((sqrt(684) + sqrt(684)*2*-3 + sqrt(684))*1)**2 + 4*(-2*sqrt(684)*-6)**2. 404928 Simplify (2*((sqrt(77) + sqrt(77)*1 + sqrt(77))*6)/(sqrt(7) + (sqrt(847) - (-1*sqrt(847) + sqrt(847)))))**2. 99 Simplify (-2*(-4 + (-4 + sqrt(405) + 0 - ((sqrt(405) + sqrt(405)*1)*5 - sqrt(405))) + 2))**2. 3456*sqrt(5) + 103824 Simplify (4*(-4 + (sqrt(1377) - (sqrt(1377) + (3 + sqrt(1377))*3))))**2. 11232*sqrt(17) + 200992 Simplify ((sqrt(1216) - (2 + sqrt(1216))) + -3)**2 + 4*(sqrt(1216) + -2). 17 + 32*sqrt(19) Simplify (-6*(sqrt(72) - -2*sqrt(72)*6))**2 + 3. 438051 Simplify 6*(sqrt(125) + -1 - sqrt(125)) - (sqrt(125) + (sqrt(125)*-2 + 1)**2 - sqrt(125)) - ((2 + sqrt(125) + 5)*2)**2. -1203 - 260*sqrt(5) Simplify (sqrt(14) + (sqrt(126)*4 - sqrt(14)))/(-3*sqrt(162) - sqrt(162)). -sqrt(7)/3 Simplify (sqrt(304) + 2)**2 + (sqrt(475)*-2)**2 - (((2*sqrt(38))/sqrt(2) - -4*sqrt(171)) + -1)**2. -1517 + 44*sqrt(19) Simplify (5 + ((4*sqrt(96) - sqrt(96))*-6)/(sqrt(2) + 5*(sqrt(18) - sqrt(2))))**2. -720*sqrt(3)/11 + 18577/121 Simplify 5*(-4 + (sqrt(320) - (sqrt(320)*-1 + sqrt(320)) - sqrt(320)) + 2 - (sqrt(320) + -1*sqrt(320) + 5)*-1)**2. 45 Simplify 1 + 5 + 0 + 4 + sqrt(147) + 2. 12 + 7*sqrt(3) Simplify (6*(sqrt(114) + 6*sqrt(114) - sqrt(114) - sqrt(114)))/(sqrt(6) - -3*sqrt(96)). 30*sqrt(19)/13 Simplify (sqrt(637) + -5 + (sqrt(637) + 2 - sqrt(637)) + 2)**2 + 5 + 0. -14*sqrt(13) + 643 Simplify ((-4*sqrt(99)/sqrt(3) + sqrt(33))/((sqrt(3) - sqrt(12))*5)*3 + 2)**2*-6. -5946/25 - 216*sqrt(11)/5 Simplify (-1*sqrt(2299) + 4 - -4*(sqrt(2299) + sqrt(2299) + sqrt(2299)*-1 + sqrt(2299)))**2 - ((sqrt(2299) - (sqrt(2299) + sqrt(2299) + 1)*-1)*-6)**2. -632245 - 1760*sqrt(19) Simplify (sqrt(1568)*2*-6 + sqrt(1568) + 1 + -2)**2. 616*sqrt(2) + 189729 Simplify sqrt(3) + -4 + (sqrt(3) + -1)**2 + 0 - sqrt(24)/(sqrt(32)/(sqrt(8)/sqrt(2))). -2*sqrt(3) Simplify (-4*((sqrt(720) + -1 - sqrt(720)) + sqrt(5) + sqrt(125)*-6))**2. 928*sqrt(5) + 67296 Simplify (1*sqrt(54) - sqrt(6) - 6*sqrt(54))/(sqrt(3) + (-1*sqrt(3) - sqrt(3))*5 - -1*sqrt(432)). -16*sqrt(2)/3 Simplify (sqrt(637)*-4 + sqrt(637) + (sqrt(52)/sqrt(4) + 4 - sqrt(13)))*2. -42*sqrt(13) + 8 Simplify (sqrt(76) + sqrt(76)*3*2)/(sqrt(36)/(sqrt(9)*-1)). -7*sqrt(19) Simplify ((-4 + (sqrt(68) + 1 - sqrt(68)) - ((sqrt(68) - (-1 + sqrt(68) + -1)) + sqrt(68))) + -2
{ "pile_set_name": "DM Mathematics" }
-l(n) - z(n). Give g(u(b)). 400*b**2 Let a(c) be the third derivative of c**4/12 + 3*c**2. Let l(v) = 47*v + 50. Let f(i) = 2*i + 10. Let q(n) = -5*f(n) + l(n). Calculate q(a(d)). 74*d Let i(l) = 7*l**2. Let h(p) = -1176*p + 8 - 17*p**2 + 1176*p. Let o(v) = 52*v**2 - 26. Let c(r) = 13*h(r) + 4*o(r). Determine c(i(x)). -637*x**4 Let j(a) = -411*a. Let i(g) = -225*g**2 + 78*g**2 + 71*g**2 + 74*g**2. Give i(j(k)). -337842*k**2 Let o(u) = -853222*u. Let h(p) = -45*p**2. Determine o(h(y)). 38394990*y**2 Let h(q) = q**2 + q**2 - 6*q**2. Let b(g) = 2*g**2 + 4*g - 24. Let n(r) = 3*r**2 + 5*r - 30. Let d(t) = -5*b(t) + 4*n(t). Give h(d(x)). -16*x**4 Let p(l) = 36*l. Let v(d) = 21443*d - 9. Give v(p(f)). 771948*f - 9 Suppose -z - 2*n + 6 = 0, 4*n - 12 + 4 = 0. Let o(u) = 5*u**2 + 4*u**2 - u**2 - u**2 - 3*u**z. Let d(l) = 9*l. What is d(o(c))? 36*c**2 Let l(s) = -11*s + 2. Let h(r) = -9*r + 2. Suppose 2*o - 3 = -m + 2*m, -3*m - 3*o = -18. Let q(i) = m*h(i) - 2*l(i). Let t(g) = -g. Determine q(t(f)). 5*f + 2 Let i(o) = -2*o**2. Suppose l = -4*r - 8 + 186, -3*r = 2*l - 131. Let c = r - 45. Let y(j) = -4*j + c*j - j. Calculate y(i(f)). 10*f**2 Let l(g) be the first derivative of 1727 - 1770 + 5*g**2 - 14*g**2. Let q(u) = -2*u. Give q(l(w)). 36*w Let p(s) = s. Let x(c) be the second derivative of 55*c + 245/12*c**4 + 0*c**3 - 1 + 0*c**2. Determine p(x(n)). 245*n**2 Let c(j) = 3*j. Let r(s) = -2231*s + 4905*s - 6640*s. What is r(c(v))? -11898*v Let l(s) = 1451*s + 99*s + 19*s + 1848*s. Let g(w) = -2*w**2. What is l(g(v))? -6834*v**2 Let r(j) = -7*j**2. Suppose 24 = 3*o - 30. Let b(p) = o*p + 24*p - 59*p. Give b(r(g)). 119*g**2 Let v(w) = 2*w**2. Let i(n) = -1797*n**2 + 108*n - 27. Let l(u) = -257*u**2 + 16*u - 4. Let j(o) = 4*i(o) - 27*l(o). What is j(v(s))? -996*s**4 Let x(h) = -h + 41. Let n(j) = 32*j**2 + 4*j - 8. Let a(k) = -26*k**2 - 3*k + 6. Let o(y) = 4*a(y) + 3*n(y). What is x(o(w))? 8*w**2 + 41 Let l(w) = 57*w**2 + 12*w - 4. Let y(u) = -15104*u**2 - 3186*u + 1062. Let m(d) = -531*l(d) - 2*y(d). Let x(o) = 2*o. Determine x(m(f)). -118*f**2 Suppose 2*z + 0*z = 3*x - 23, 4*z = 3*x - 31. Let h(n) = -x + 4 - 2*n + 1. Let d(y) be the third derivative of -y**5/30 - y**4/4 + 1286*y**2. What is h(d(s))? 4*s**2 + 12*s Let p(y) be the first derivative of -889*y**3/3 - 8117. Let t(o) = -o**2. Give p(t(b)). -889*b**4 Let b(l) = -8*l**2. Let a(u) = 25. Let f(z) = -z - 7. Let c(k) = 7*a(k) + 25*f(k). Give b(c(o)). -5000*o**2 Let t(m) = 12830*m. Let b(v) = -777*v - 1. Give t(b(x)). -9968910*x - 12830 Let z(p) = -29*p**2 + 3. Let t(i) = 27*i**2 + i - 4. Let g(j) = 3*t(j) + 4*z(j). Let x(d) = 9*d - 30*d + 19*d. Determine x(g(s)). 70*s**2 - 6*s Let j(i) be the third derivative of -i**5/30 - 3*i**2. Let z(c) be the second derivative of -15*c + 0*c**2 + 0 - 1/2*c**3. Calculate j(z(k)). -18*k**2 Let o(g) = 12*g**2. Let b be (18/5)/3*10. Let f(t) = -b*t**2 + 21*t**2 - 5*t**2. Give f(o(n)). 576*n**4 Let s(i) = -10*i**2 + 4*i**2 - 11*i**2. Let m = -140 + 174. Let o(x) = -39*x**2 - m*x**2 + 71*x**2. Determine o(s(q)). -578*q**4 Let p(n) = -88*n - 5. Let a be (-2 + 1)*(19 - (5 + 1)). Let z(k) = 221*k + 13. Let c(y) = a*p(y) - 5*z(y). Let d(r) = -2*r. Determine d(c(q)). -78*q Let j(y) = 280*y**2. Let d(k) = -125931*k. Determine d(j(t)). -35260680*t**2 Let x(v) = -10*v + 5. Let j(b) be the second derivative of -5*b**4/3 - 4110*b. Determine x(j(h)). 200*h**2 + 5 Let n(a) be the first derivative of -27 - 30 + 2*a**2 - 13*a**2 + 4*a**2. Let i(g) = 7*g. What is i(n(q))? -98*q Let b(v) be the first derivative of v**3 - 1026. Let p(q) = 9*q**2 + 2*q. Calculate p(b(w)). 81*w**4 + 6*w**2 Let n(b) = 2*b. Let u(r) = -6897*r**2 - 204*r + 4. Let k(g) = -83198510*g**2 - 2460801*g + 48251. Let y(c) = 4*k(c) - 48251*u(c). Determine y(n(h)). -27572*h**2 Let b(n) be the first derivative of 6*n**2 - 5. Let x be (8/5)/1*(-15)/(-6). Let u(l) = 43 - x*l - 43. What is u(b(a))? -48*a Suppose 3*f - 4*v = 1 + 33, 0 = -5*f - 5*v + 115. Suppose 13*w - f = 10*w. Let c(y) = 9*y**2 - 14*y**2 + w*y**2. Let j(a) = 15*a. Calculate c(j(t)). 225*t**2 Let s(y) = 394*y. Let i(u) be the first derivative of 2*u**3/3 + 871. Calculate s(i(l)). 788*l**2 Let c(p) be the third derivative of -p**4/6 + 2987*p**2. Let y(s) = 320*s**2. Give y(c(o)). 5120*o**2 Let w(f) = 264*f**2 + 2. Let u(j) be the third derivative of -j**4/6 + 7*j**2 - 2*j + 8. Determine w(u(a)). 4224*a**2 + 2 Let z(v) = 62*v**2 + 4836*v - 403. Let p(y) = -12*y + 1. Let r(j) = -2418*p(j) - 6*z(j). Let d(t) = -t. What is d(r(x))? 372*x**2 Let o(k) = -190*k**2. Let v(t) = -95*t + 17*t + 43*t + 37*t. Give o(v(w)). -760*w**2 Let f(s) = 1097*s. Let m(o) = -13*o - 35. Let u(r) = 72*r + 196. Let v(l) = -28*m(l) - 5*u(l). What is v(f(q))? 4388*q Let r(k) = -128*k**2 + 571*k + 23. Let v(t) = -2*t**2 + 25*t + 1. Let m(x) = r(x) - 23*v(x). Let a(c) be the second derivative of -c**3/6 + c. What is a(m(d))? 82*d**2 + 4*d Let y(v) be the second derivative of 5*v**4/6 + v. Let s(l) be the first derivative of -5*l**2/2 + 2767. Calculate y(s(i)). 250*i**2 Let x(c) = -c**2. Suppose 3*r + 3 = 3*s, -1 = s - 4*r + 1. Let t(u) = -4*u**2 - 22*u**s - 14*u**2 + 9*u**2. What is x(t(i))? -961*i**4 Let d(m) = -m**2 - 2 + 2. Let h(f) = 200*f**2. Let l(y) = -40*y**2. Suppose 2*v - 2 = i + 1, 3*i = 5*v - 9. Let s(w) = i*h(w) - 16*l(w). Give d(s(c)). -1600*c**4 Let p(u) = -u**2 + 225*u. Let c(i) = 21523*i. Calculate p(c(s)). -463239529*s**2 + 4842675*s Let t(o) = -5*o**2. Let c(b) = -4*b**2. Let r(n) = 7*c(n) - 3*t(n). Let y(a) be the second derivative of -a**4/12 - 15*a - 2. What is y(r(w))? -169*w**4 Let i(t) = -259*t - 1. Let l(b) = -b**2 - 10130*b. What is i(l(c))? 259*c**2 + 2623670*c - 1 Let q(z) = 4*z**2 - 580580 + 580580. Let p(v) = -750*v. Determine p(q(b)). -3000*b**2 Let v(u) be the second derivative of 1/6*u**4 + 0 + 0*u**2 + 0*u**3 + 56*u. Let j(r) = -11*r. Calculate j(v(t)). -22*t**2 Let r(a) = 22 - 3 + 3851*a - 28 - 3871*a. Let g(c) = 0*c + c - 3*c. Give g(r(j)). 40*j + 18 Let c(v) = v. Let m(y) be the first derivative of 83*y**5/30 + 202*y**3/3 - 193. Let w(q) be the third derivative of m(q). Calculate w(c(z)). 332*z Let k(l) = l**2 - 45*l. Let r(h) = 304 - 617 - 23*h + 49*h + 308 - 20*h. Determine r(k(o)). 6*o**2 - 270*o - 5 Let f(h) = 30*h. Let d(s) = -24*s**2 + 167*s - 6. Determine d(f(a)). -21600*a**2 + 5010*a - 6 Let m(k) = 42*k**2 - 11*k + 9*k + 3*k. Let a(h) be the third derivative of h**4/12 - 30*h**2 - 4*h. Calculate m(a(x)). 168*x**2 + 2*x Let j(x) = -28235*x. Let c(o) = -320*o + 1. Determine j(c(m)). 9035200*m - 28235 Let v(l) = -3056873*l**2. Let j(a) = -a**2. What is v(j(k))? -3056873*k**4 Let t(g) = -328*g. Let z(x) = -19848*x + 4. Calculate t(z(b)). 6510144*b - 1312 Let u(k) = 6*k**2. Let q(c) = 44720130*c. Calculate q(u(g)). 268320780*g**2 Let h(l) = 1954972340*l. Let c(z) = 2*z**2. Give c(h(o)). 7643833700330151200*o**2 Let i(q) = 1835*q. Let p(k) = -532912*k. Give p(i(j)). -977893520*j Suppose u + 5*f = -27, -3*u + 4*f + f + 19 = 0. Let m(l) = -34*l. Let p(j) = 33*j. Let y(x) = u*p(x) - 3*m(x). Let n(v) = 2*v. What is n(y(r))? 72*r Let a(y) = -7*y. Let r(b) be the third derivative of -173*b**4/12 - 13*b**2 - 141*b. What is a(r(k))? 2422*k Let u(o) = -21*o. Let k(g) be the second derivative of -g**5/20 + 59*g**2/2 - 45*g. Let n(x) be the first derivative of k(x). Give n(u(s)). -1323*s**2 Let r(l) = l**2 + 1. Let d(m) = -3*m**2 + 1. Let f(u) = u**2. Let w(z) = -d(z) - 6*f(z). Let h(o) = r(o) + w(o). Let p(b) = 14*b**2 - b. Give h(p(g)). -392*g**4 + 56*g**3 - 2*g**2 Let j(o) = -2 + 2 + o**2. Let y(k) be the third derivative of 5*k**4/12 + 2*k**3 - 34400*k**2. What is y(j(c))? 10*c**2 + 12 Let p(y) = y - 587. Let s(w) be the second derivative of w**4/6 + 682*w. Determine p(s(t)). 2*t**2 - 587 Let w(z) = 10*z - 1. Let c(p) = -342*p**2 - 5*p + 4. Calculate w(c(m)). -3420*m**2 - 50*m + 39 Let r(c) = -27*c + 2. Let l(s) be the third derivative of s**4/8 - s**2 + 210*s. Calculate l(r(u)). -81*u + 6 Let l(i) = 2*i. Let b = 63 + -48. Let a(x) = x**3 - 14*x**2 - 15*x + 2. Let f be a(b). Let o(p) = 9*p**f - 10 + 10 - 27*p**2. Give o(l(s)). -72*s**2 Let j(k) = 3*k**2. Let q be (-2)/24*(-44)/(1848/126). Let v(x) be the second derivative of q*x**4 + 0*x**2 + 5*x +
{ "pile_set_name": "DM Mathematics" }
5*t)*(-2*t + 2*t - 2*t). 8*t**2 Expand -4*v + 2*v + 3*v + 2 - 2 - v + (4 - 4 + v)*(2 - 2 + 4). 4*v Expand (2*b**2 - 4 + 4 + (-2 + 2 - b)*(-4 - b + 4) + 2*b**2 - b**2 - 3*b**2)*(-2 - b + 2) + (4 - 4 - b**2)*(2*b + b - 2*b). -2*b**3 Expand (2 - 2 + 2 - 2 + 4 - 3 + (-3 + 5 - 1)*(0 + 2 - 1) - 4 + 1 + 5)*(-2*t - 2*t + 2*t). -8*t Expand (3*c - c - 3*c)*(-2 + 2 - 2*c) - 2 + 2 - c**2. c**2 Expand (-o - o - 5*o)*(3*o - 5*o - o). 21*o**2 Expand (1 + 2 - 2)*(4*k - 4*k - 2*k) + 0*k - k + 2*k - 6 - 2*k - 2*k + 6*k. k - 6 Expand (0 - 2*m + 0)*(0*m + 0*m - 3*m). 6*m**2 Expand 3*z**3 - z**3 - z**3 + 12*z**3 - 2 - 9*z**3 + 4 + (0 + 0 + z)*(2 - z**2 - 2). 3*z**3 + 2 Expand (4*t + t - 3*t)*(2 - 4 + 4)*(-2 + 3 - 3)*(-8 + 3 - 4). 72*t Expand m - 3*m + 4*m + (3 + 0 - 1)*(-11*m + 4*m - m). -14*m Expand (3*g + g**3 - 31 + 33 + 3*g)*(-3*g**2 + 2*g - 2*g). -3*g**5 - 18*g**3 - 6*g**2 Expand (-2*s - 5 + 5)*(-2*s + 0 + 0 + 1 - 1 + s + (2*s - 2*s + 2*s)*(-2 + 2 - 2)). 10*s**2 Expand (2 - 7 + 2)*(-3*l - l + 3*l) + (3*l + l - 2*l + (-2 - 1 + 1)*(5*l - 2*l + l) - 2 + 2*l + 2)*(5 - 4 - 3). 11*l Expand (0*j**4 + j**4 + 0*j**4)*(6 - 1 - 2 - 2*j). -2*j**5 + 3*j**4 Expand (1 + 0 - 3)*(3*a**2 + 4*a - 4*a) + 0*a**2 + a**2 + a**2 + 6*a**2 + 1 - 1. 2*a**2 Expand (-27 + 15*x**3 + 39 - 11*x**3)*(0*x + 4*x - x). 12*x**4 + 36*x Expand -a**3 + 2*a**4 + a**4 - a**3 + 2*a**4 - 2*a**4 - 2*a**4 - 3*a**4 + a**4 + 4*a**4 + (3*a - 2*a**3 - 3*a)*(-a + 4*a - 5*a) - 2*a**4 + 0*a**4 + 4*a**4. 9*a**4 - 2*a**3 Expand (2*b + 2 - b**2 - 3*b**2 + 2*b**2)*(3*b**3 + b**3 - 5*b**3). 2*b**5 - 2*b**4 - 2*b**3 Expand 0*t + 2*t + 0*t + (2 + 0 - 3)*(-4*t - t + 4*t) + (2 - 4 + 3)*(2*t - t + t) - 2*t + 4*t - t. 6*t Expand (-h + h - 2*h**2)*(-1 - 2 + 1)*(2 + 2 - 2)*(-3 - 2 + 9). 32*h**2 Expand (-4*l**2 + 6*l**2 - 3*l**2)*(2*l**3 - 6*l**3 + 2*l**3) + 8*l**5 - 14*l**5 - 4*l**2 + 7*l**5. 3*l**5 - 4*l**2 Expand ((0 - k + 0)*(2*k**2 - 5*k**2 + 4*k**2) + 2 - 2 - k**3)*(0*k - 3*k + 4*k). -2*k**4 Expand (5*s - s - 2*s)*(-1 + 0 + 0)*(-2*s + 8*s - 43*s). 74*s**2 Expand (-4*h**4 + 0*h**4 + 3*h**4)*(-h + 1 - 1) + (-5 + 5 + 4*h**2)*(2*h**3 - 2*h**3 - h**3). -3*h**5 Expand (6 - 1 - 2)*((4*y - 4*y + y)*(-3*y**2 - y**3 + 3*y**2) + 0*y**4 - y**4 + 3*y**4 + y**4 + 2*y**4 - y**4). 9*y**4 Expand (-v - v + v)*(2*v**2 - 4 + 4) + 8*v**3 - 8*v**2 + 8*v**2 + v - 3 + 0*v**3 + v**3 + 0. 7*v**3 + v - 3 Expand (-3 + 3 - 2*z**2)*(4 - 2 + 0) + (3 - 3*z - 3)*(-4*z + 0*z + 2*z). 2*z**2 Expand (2*z**4 - 3*z**4 - z**4)*(7 - 6 - 4). 6*z**4 Expand (0*y**4 + 0*y**4 + y**4)*(-2 + y + 3 - 2). y**5 - y**4 Expand (-1 - 6 + 1)*(1 - 1 + 1)*(3 - 1 - 4)*(2*x**2 - x**2 + 0*x**2). 12*x**2 Expand (3 - 5 + 4)*(-49 + 49 + 12*o)*(2*o**2 + 2*o - o**2 + 3*o**2). 96*o**3 + 48*o**2 Expand 2*n**4 + 2*n**4 - n**4 - 2*n**4 - 4*n**4 + 5*n**4 + (2*n**3 + 3 - 3)*(0*n + 3*n - 4*n) - n**4 + n**4 + n**4. n**4 Expand 5*f**4 + 43*f**4 + 13*f**4 + 0*f**4 - f**4 + 0*f**4 + (f**3 - f**4 - f**3)*(-4 + 2 + 3) + 2*f**4 + 0 + 0 + 0*f**4 + 4*f**4 - 2*f**4. 63*f**4 Expand -p**3 + 2*p**3 + p**3 - p**3 + 2*p**3 + p**3 + 0*p**3 - 5*p**3 + 4*p**3 + (4 - 4 + 2*p**2)*(2*p + 1 - 1) + 3*p**3 + 0*p**3 + 0*p**3. 10*p**3 Expand -2*s**3 + 0*s**3 + 4*s**3 - 2*s**3 + 4*s - 4*s + (-s**2 + 2*s**2 - 2*s**2)*(-2*s + 0 + 0) + 0*s**3 + 0*s**3 + s**3 - 3 + 4*s + s - 3*s - s**3. 2*s**3 + 2*s - 3 Expand (-3 + 0 + 2)*(-2*f**3 + 4*f - 4*f). 2*f**3 Expand (2 + 3 - 4)*(4 + 0 - 3)*(8 - 8 + 4*j). 4*j Expand (v + v + 8*v)*(5*v**3 - 2*v**3 - 2*v**3) + (-3 + 3 - v)*(-3*v**3 + 2*v**3 + 0*v**3). 11*v**4 Expand (-1 + 2 - 3)*(-3*y**2 - 131*y + 125*y - 3*y**2 + 1). 12*y**2 + 12*y - 2 Expand t + 2*t**2 - t + (-4 + 3 + 3)*(6*t**2 - 3*t**2 - t**2) + (4*t - 3*t + 0*t)*(3*t + 0*t + t). 10*t**2 Expand (-m + 6*m + m)*(2*m**2 + m**2 - 5*m**2) - 2*m**2 - 2*m**3 + 2*m**2. -14*m**3 Expand (-5*h**3 + 4*h**3 + 3*h**3)*(4*h + 3*h - 5*h)*(5 - 3 - 1). 4*h**4 Expand ((-4 + 2 + 3)*(-3 - 1 + 3) - 1 + 1 + 1 - 3 + 4 + 1)*(-1 + 0 + 7)*(-2 + 2*n + 2). 24*n Expand 2*c**3 + 2*c**3 - 2*c**3 + (0*c**2 - 5*c**2 + 2*c**2)*(4 - 5 + 2*c + 3). -4*c**3 - 6*c**2 Expand (3 - 2 + 1)*(-b + b - 5*b**2) + (-b - 3*b + b)*(5*b + 0*b - b). -22*b**2 Expand h + 0*h + 2*h + (-h - h - 3*h)*(3 + 1 - 5) + (0*h - h + 0*h)*(-6 + 4 + 3). 7*h Expand (-1 + 1 + 1)*(4 + 2*r - 4)*(-3 + 2 - 3). -8*r Expand (268 - 13*n - 268)*(-1 - 2 + 0). 39*n Expand (-2*z + 8*z + 0*z - 2*z - 2 + 2 + 2*z - z + 0*z + (-1 + 0 + 2)*(-z + 2*z - 3*z))*(2*z**2 - z**2 + 0*z**2). 3*z**3 Expand (i + 1 - 1)*(2*i**2 - 2*i**2 - 2*i**2) - 2*i**2 - 21*i + 6*i**3 + 21*i. 4*i**3 - 2*i**2 Expand -6*t**2 + 7*t**2 + 4*t**2 + (-t - 2*t + 5*t)*(-t + 5*t - 2*t) + 3 - 3 + t**2 - 4*t**2 + 3*t**2 - t**2 + 10 + 11*t**2 - 10. 19*t**2 Expand (f**2 + 4*f**2 - 3 + 1)*(5*f**3 - 3*f**3 + 2*f**3). 20*f**5 - 8*f**3 Expand (-3 + 3 + 1)*(0*m - 6*m + m) + (3 - 4*m - 3)*(0 + 2 - 1). -9*m Expand (-18*b - 11*b + 2*b)*(-b**3 + 3 - 3). 27*b**4 Expand -5*s**2 + 2*s**2 + 10*s**2 + (-4*s + s + 2*s)*(3 - 2*s - 3). 9*s**2 Expand 26 - 5*o**2 - 26 + (2*o**2 + 2 - 2)*(4 + 0 - 2) + 2*o**2 - 4*o**2 + 0*o**2 + 4*o**2 - o**2 - 4*o**2. -4*o**2 Expand -2*y - 2*y + 6*y + y + 0*y - 2*y + (2 - 1 + 1)*(-5 + 5 - 3*y). -5*y Expand (2*x**2 + 0*x + 0*x + (3 + 2*x - 3)*(2*x - 4*x + 3*x))*(3*x**3 - 5*x**3 - 4*x**3). -24*x**5 Expand -3 + 3 - 2*y + (-3*y + 5*y - 4*y)*(2 - 2 + 1) + (-2 + 2 - 2)*(2*y - 3*y - y) + 0 + 2*y + 0 - 6*y + 3*y - y. -2*y Expand 3*j**5 - 4*j**5 - j**5 + (0*j**3 - 3*j**3 + 6*j**3)*(0 + 0 + 2*j**2). 4*j**5 Expand (n - n + 2*n**3 + (3*n - 3*n + 2*n)*(2*n**2 + 11*n**2 + 2*n**2))*(-n**2 + n**2 + 3*n**2). 96*n**5 Expand (-h - 3 + 3)*(2 - 4 + 3) + 2 + h - 3 + 2 + 0 + h + 0 + (3 - h - 3)*(0 - 3 + 1). 3*h + 1 Expand (4 + 3 + 0)*(-3*i**3 + 5*i**3 + 4*i**3). 42*i**3 Expand 5*p - p**5 - 5*p + (-2*p + 2*p - 2*p)*(-7*p**4 + 3*p**4 + 2*p**4) + 3*p**5 - 2*p**5 - 2*p**5 + 2 + p**5 + 0*p**5 - 14*p**4 + 2*p**4. 3*p**5 - 12*p**4 + 2 Expand (0*v - 5*v + 8*v)*(4*v**4 - v**4 - 4*v**4) + 0*v**5 - 3*v**5 + 5*v**5 + (4*v**5 - 2*v**5 - 4*v**5)*(-1 + 1 + 2) - v**5 + 6*v**5 - 4*v**5. -4*v**5 Expand (0*m - 2*m + 3*m + (3*m + 2*m - 3*m)*((0 - 5 + 3)*(3 - 2 + 0) - 7 + 4 + 0))*(4 + 1 - 3). -18*m Expand (-4*z**2 - 3*z**2 + z**2)*(0*z**2 + 0*z**2 - z**3). 6*z**5 Expand (26*t**2 - 928 + 928)*((2*t + 0*t - 4*t)*(-t + t - 2*t**2) - 2*t**3 + t**3 + 0*t**3). 78*t**5 Expand (-2 - 2 + 3)*(-6*r**2 - 12*r**2 - 6*r**2). 24*r**2 Expand (-2*r + 0*r + r)*(2*r**2 + 3 - 3) + r**3 + 2*r**3 - 2*r**3 + 5*r**3 - 4*r**3 + 3*r**3. 3*r**3 Expand 0*m + 0*m + m + m + 5*m - 4*m + (-5 + 0 + 3)*(m - 2*m + 2*m) + 6*m - 3*m - 2*m + m - 2*m + 3*m - m - 2*m + 2*m + (m - 1 + 1)*(12 + 10 - 13). 12*m Expand (-3*k**3 + 0*k**3 + 2*k**3)*(-4 + 6 - k - 3*k) - k**3 + k**3 + 2*k**4. 6*k**4 - 2*k**3 Expand (2*w - 1 + 1)*(-4 + 2 + 0) + (-2 + 2 + w)*(-1 - 1 + 3). -3*w Expand -4*z**2 + z**2 + 0*z**2 + (0 + 3 - 5)*(z**2 + 0*z + 0*z) + 2*z**2 - 3*z**2 + 0*z**2 - 4*z**2 + 3*z**2 - 7*z**2. -14*z**2 Expand (-1 + 1 + 2)*(0*q + 2*q - 3*q) - 2*q - q + 2*q + 4*q + q - 3*q - q + 2*q - 3*q + (0 - 2 + 3)*(5*q - 5*q + q). -2*q Expand (-5*s**4 + s**4 + 3*s**4)*(1 + 2 - 1) + 3 + 8*s - 5 - s**4 - 3*s. -3*s**4 + 5*s - 2 Expand (-5*i - i + 2*i)*(2 - 1 + 0) + (-4 - 2*i + 4)*(3 + 2 - 3). -8*i Expand (-4 - 1 + 3)*(1 + 2 - 2)*(-4*a**2 - 3*a**4 + 4*a**2). 6*a**4 Expand 66*d - 70*d + 2 + 0 + 3*d + 2*d - 3*d + (-d - 3*d + 6*d)*(-2 + 0 + 0) - 2*d + 4 - 4. -8*d + 2 Expand (2*b**2 + 6*b**2 - 2*b**2)*(-b + 2*b + 0*b). 6*b**3 Expand -59*f**3 + f**4 + 59*f**3 - 8*f + (-2*f**3 + 3*f**3 + 0*f**3)*(-4*f + 6*f - f). 2*f**4 - 8*f Expand k**5 + 0*k**2 + 0*k**2 + (-5*k**5 + 0*k**5 + 6*k**5)*(3 - 2 + 1) + (3*k**2 + k**4 - 3*k**2)*(-2*k + 5*k - k) + 2*k**5 - 2*k**2 + 2*k**2. 7*k**5 Expand 0*g**5 + g**5 + g**5 + (-2*g**2 + 2*g**2 + 2*g**3)*(15*g**2 + 12*g - 12*g). 32*g**5 Expand u**2 + 3 - 3 + (-3*u**2 + 2*u**2 + 0*u**2)*(-6 - 5 + 10). 2*u**2 Expand (3 + 2*l - 4*l - 6)*(-2 + 0 + 5)*(-4*l + 4*l + 2*l). -12*l**2 - 18*l Expand (9*b - 2*b - 2*b)*(-b - 2 + 2) + 4*b**2 - b**2 - b**2 + b**2 + 0*b**2 + b**2. -b**2 Expand (-3 - y + 3)*(4 + 0 - 5)*((-3*y - 2*y + 4*y)*(0*y + 3*y**3 + 0*y) + 0*y**4 - 8*y**4 + 0*y**4). -11*y**5 Expand (-2*g - 2*g + 5*g)*(2 + 1 - 2)*(-1 - g**2 + 1)*(-22*g + 6*g**2 + 22*g). -6*g**5 Expand (0*s + 0*s - 2*s)*(3 - 3 - 1 + 2 - 2 - 1 + 3 - 5
{ "pile_set_name": "DM Mathematics" }
3*(-1 + 0). What is the second biggest value in -1/11, -0.2, h, y? h Let m = 128 - 73. Let z = m - 50. What is the second smallest value in -5, z, -2/11, 1? -2/11 Suppose 4*i + 2*o - 6 = 0, 3*o = 5*i - i - 1. Let n be 0/(6/10*5/3). Which is the third biggest value? (a) i (b) -0.5 (c) n b Suppose -18 = 4*i + 2. Let x be (-1)/(20/(-10))*(-2)/(-9)*3. What is the smallest value in 0.2, x, 6, i? i Let i = 354172 - 3893320/11. Let y = i - 234. Let m = 609 - 1215/2. What is the third biggest value in y, m, -0.5? -0.5 Let p be 1*3 - (-27865)/(-9825). Let v = 4/131 - p. Which is the smallest value? (a) v (b) 3/2 (c) 1/2 a Suppose 4*n - 13 = -3*a, a - n = -a + 5. Suppose 5*y - 255 - 415 = -a*h, -y - 2*h = -127. Let o = -689/5 + y. What is the second biggest value in 5, o, 2? 2 Let f = -0.1 - -4.1. Suppose -5*i - 4*y + 2*y - 15 = 0, i + 4*y + 3 = 0. What is the third biggest value in -1/6, f, i? i Let m = -1159 - -1157. What is the third biggest value in -2/89, m, 0.3? m Let z = -4 + -1. Suppose 2*h - 38 = 5*q, -2*h - 10 = 66*q - 63*q. What is the smallest value in -0.4, -8, h, z? -8 Let j = 0.72 + -0.84. Let r = -1.7 + 2.2. Which is the second biggest value? (a) r (b) 0 (c) j b Let o = -5422 + 15914/3. Let k = -118 - o. Which is the biggest value? (a) k (b) 0.07 (c) 2/3 (d) -0.2 c Let d be (-1)/5*5/(-7). Let t be -5*(12/(-10) + 3). Let q(x) = -x**2 - 9*x - 4. Let a be q(t). What is the second biggest value in 1/8, a, d? 1/8 Let y = -216.4 - -217. What is the second smallest value in -3, -1/3, 1, y? -1/3 Let x be (-3)/(-2)*(-12)/(-9). Let l = 1.491 - 1.291. Let f = -2 - -1. Which is the third smallest value? (a) x (b) l (c) f a Let q = -3.7 - 2.3. Let y = q - -4.6. What is the smallest value in y, -0.5, -0.2? y Suppose 5*v - 4*p - 75 = 0, -4*v - 48 = -7*v + 3*p. Which is the fourth biggest value? (a) 5 (b) 1/3 (c) v (d) 4 b Let z = -419 - -416. What is the smallest value in 15, 2/5, z? z Let k = -6.4 - -9.4. Let h = k + -1. Which is the second biggest value? (a) -1 (b) h (c) 4 b Suppose -f + 85 = 81. What is the smallest value in f, -2, -35? -35 Suppose 0 = 2*q + h + 13 - 0, -24 = 3*q + 3*h. Which is the smallest value? (a) q (b) -9 (c) -1/4 b Let q = 409 - 408. Which is the biggest value? (a) -3 (b) -0.1 (c) q c Suppose 80 = 6*g + 20. Suppose -15 - g = 5*o. Which is the second smallest value? (a) o (b) 0.1 (c) 0.3 b Let k = 30.3 - 78.7. Let n = k - -48. Let o = -3 + 2.5. Which is the biggest value? (a) -4 (b) n (c) o b Let k be (1 + 121/(-132))*(1 - 3). What is the second smallest value in -2/9, k, 2/105? k Let m = -3.91 + -0.09. Let f = 11484 + -11490. What is the biggest value in -0.3, m, f? -0.3 Let g = 0.43 + 0.07. Let q = -50 - -45.66. Let p = -0.34 - q. Which is the third biggest value? (a) p (b) 2 (c) g c Let r be ((-2)/8)/(-1)*2. Let p = -91 - -101. Suppose -p = -5*t, 0 = 5*a - 9*t + 13*t - 33. What is the biggest value in a, 0.4, r? a Suppose 2*h - 36 = q - 3*q, 0 = q - 4*h - 18. Let y be ((-3)/q)/(7/(-14)). What is the second smallest value in 3, y, 2/13? y Let p = -251.2 + 244.2. What is the third smallest value in p, -0.5, 12? 12 Let i be (-58)/140 + 1/5. Let s = i - 5/42. Let t = 127.7 + -128. What is the second smallest value in s, -2/3, t? s Let n = -21/10 - -79/40. Let a(g) = -g**3 + 9*g**2 - 9*g + 3. Let k be a(8). Let z be k/10 - (-2)/3. What is the third biggest value in 0.3, n, z? n Let g = 0.076 + 1.244. Let t = g + -0.12. Let w = -3.8 - t. Which is the third smallest value? (a) -1 (b) w (c) 4 c Let u = 13 - 18. Let r(f) = 27*f - 836. Let j be r(31). What is the third smallest value in 5, 2/11, j, u? j Let v = 1.2188 + -0.2188. What is the second smallest value in v, 16, -4, 4? v Let p = 613 + -607. What is the biggest value in 3, -0.3, p, 1? p Let g = 1174 - 1176. What is the third smallest value in g, -3/38, -1, 1? -3/38 Let d = 0.66 + -0.6. Let g(t) = -t**2 - 4*t + 17. Let z be g(-7). Let q be ((-2)/z)/(33/12). Which is the third smallest value? (a) q (b) d (c) -0.2 a Let z = 19 + -19.3. Suppose -d + 13 = 4*c, 4*d + 1 = -2*c - 3. What is the second smallest value in -2, 0.5, z, d? -2 Let v = -11.962 - -12. Let f = 0.162 + v. Let w = -15/7 + 2. Which is the third smallest value? (a) w (b) -5 (c) f c Let j be 2/(-15)*5 + (-17)/(-3). Let u be 2 + (-8)/(-3) - j. Let x = 0.2 - -0.3. What is the third smallest value in u, x, 2? 2 Let d(h) = -h**3 - 5*h**2 - 9*h - 20. Let y be d(-4). What is the third biggest value in y, 1, 3/95, 1/5? 3/95 Let v = 0.5 + -0.3. Let x be (-90)/(-40)*4 - 11. Which is the third smallest value? (a) 2/19 (b) v (c) x (d) 1 b Let z be (-4 + 2)/8 - 1. Let y = -636 - -636.3. What is the second biggest value in -0.4, y, z? -0.4 Let g = -1 + 8. Let t be -5 + 6 + -3 + g. Let o = -3 + 6. Which is the second smallest value? (a) t (b) o (c) -3 b Let f be (-160)/(-128) + 2 + -3. Let w = -0.05 + -0.95. What is the second biggest value in -2/13, w, f, -4/11? -2/13 Suppose 5*z + 0 = 25. Suppose z*u + 207 = -23. Let d be (2/(-5))/(u/(-10)). Which is the second smallest value? (a) 2 (b) d (c) 1/5 c Let n = 256/5 + -51. Let r = 9.6 + 1.4. Let z = -16 + r. What is the biggest value in n, z, 2/9? 2/9 Suppose 12*l - 10*l = 3*s - 16, 16 = 2*s - 4*l. Which is the third biggest value? (a) s (b) 0.1 (c) -2/9 (d) -2 c Let j = 70 + -70.41. Let i = -2.69 + 2.78. Let n = j - i. Which is the smallest value? (a) n (b) 5 (c) 2 a Let i be (236/9735)/(4/(-54)). What is the third biggest value in -4, 0.1, i? -4 Let j = -2/921 + -5512/6447. Let o = 0.6 - 0.2. Which is the fourth smallest value? (a) -3/2 (b) o (c) -3/7 (d) j b Let k = 8 - 18. What is the third smallest value in 1/7, 3, k, -5? 1/7 Let j = -3 + 2.6. Let h = 253279/147 + -1723. Let o = h + 86/147. Which is the second biggest value? (a) o (b) j (c) 3 a Let n = -103 - -49. Let w = n + 57. Which is the fourth biggest value? (a) 2/5 (b) -2 (c) w (d) -1/10 b Let x = 14.29 + -13.29. What is the third smallest value in 3/8, x, 29? 29 Let m = -0.22 + -0.13. Let w = -0.05 + m. Let s be 40/12*(-3)/2. What is the smallest value in w, s, 2? s Suppose 9*k = 13*k - 8. Let j be 0 + -2*3/(k - -19). Let u = 1 + 0. Which is the second smallest value? (a) -4/3 (b) u (c) j c Let h = -1888.3 - -1888.3. Let m = -1 + -8. What is the fourth biggest value in h, -1, 0.5, m? m Let a = 12.45 - 0.45. Let i = -8.05 + 0.05. Let k = i + a. What is the third smallest value in -2, k, -4/9? k Suppose 4*f + p + 1 = 11, 6 = 5*f - 2*p. Suppose -f*z - z = 189. Let v be 3/(-2)*(-28)/z. Which is the biggest value? (a) v (b) -1 (c) -3 a Let a = 75 - 74.7. Let w be (45/(-44) - 1) + 2. Let r = -3/11 - w. What is the smallest value in a, r, 0.5? r Let y = 0.039 - -25.961. Let v = y + -25.8. Which is the third smallest value? (a) -0.2 (b) v (c) 0.05 b Let z be 1147/(-868) - (-9)/12. What is the third biggest value in 1/2, z, 10/61? z Let h = 5 + -5.1. Let m be 5/(-25) + 58/240. Let f = m + 19/120. What is the third smallest value in 0.3, f, h? 0.3 Let d = 3446/197 + 3/394. Which is the third biggest value? (a) d (b) 5 (c) 0.3 c Let f = 24 + -36. Let y be (-40)/63 - f/(-54). Which is the third smallest value? (a) -2 (b) 1 (c) y b Let z = -24685 + 24682. Let p = 0.6 - 0.2. What is the third smallest value in z, p, -5? p Let y = 0.11 - -137.89. Let k = 136 - y. What is the third smallest value in k, 2, 2/3? 2 Let v = -2.03 - -0.03. Let g = 0.2 + -2. Let u = 2.2 + g. Which is the third biggest value? (a) 10 (b) u (c) v c Let k = -46.44859 + 0.07859. Let d = k - -46. Let a = 0.37 + d. What is the second smallest value in 5/4, 4/7, a? 4/7 Let i = 268.25 - 268. What is the second smallest value in 0, 3, i? i Let j(g) = 8 - 3 + 9 + g + 0*g. Let u be j(-10). Suppose -l + 2 = u. Which is the second smallest value? (a) -0.3 (b) 0.3 (c) l a Let t = -309.5 + 310. What is the second smallest value in 49, -4, -1/5, t? -1/5 Suppose -5*t + 0*t + 200 = 0. Let p be 26/6 + t/(-30). Let i be (-2 - 3/(-2)) + 1. Which is the second smallest value? (a) i (b) p (c) -1 a Let o = -2.617 + 3.117. Let p = 1 - 0.95. Let s = p + -2.05. Which is the second smallest value? (a) o (b) s (c) -3 b Let i = 80 - 80.39. Let n = i - 0.61. What is the second bigg
{ "pile_set_name": "DM Mathematics" }
et l = 74346 + f. What is l rounded to the nearest 1000? 32000 Suppose 28 = u + p, 4*p = -5*u - 0*u + 137. Suppose i - u = 6*i, 4*x - 276005 = i. What is x rounded to the nearest ten thousand? 70000 Let r = 60 - 101. Let l = 43.7 + r. What is l rounded to 0 dps? 3 Let x = -0.67 + -6.53. Let n = 17.1 + x. Round n to the nearest integer. 10 Let p = -320445 + 648540. Let i = 328088.00011 - p. Let y = -7 - i. Round y to 4 dps. -0.0001 Let o = 22506.58156 + -22507. Let p = 0.05766 + o. Let q = p + 0.36. What is q rounded to four decimal places? -0.0008 Let i = -4.7 - -2.4. Let w = 2.30036 + i. What is w rounded to five decimal places? 0.00036 Let g = 0.0032425 + -0.0032. What is g rounded to 5 decimal places? 0.00004 Let f = -8811.010598 + 8811. What is f rounded to 4 dps? -0.0106 Let d be 24/10 + -3 + (-4)/10. Let g be 672042/(-14) + (-3)/d. What is g rounded to the nearest 10000? -50000 Let s = 12513.15 + -12267. Let f = s + -231. Let d = f - 16. What is d rounded to 1 decimal place? -0.9 Let s = -16.85 - 0.15. Let x = -16.6899742 - 0.3086558. Let j = s - x. What is j rounded to 4 decimal places? -0.0014 Suppose 0 = 7*t - 5*t - 48774. Suppose -2*y = y - t. Let d = 15429 - y. What is d rounded to the nearest 1000? 7000 Let c = -202.8878 - -203. Round c to 3 dps. 0.112 Let w = -45 + 45.036. Let q = -0.03594 + w. Round q to four decimal places. 0.0001 Suppose -3*j - 16 = -m, 0*j = -j + 4*m + 2. Let t = j - -28. Suppose -2*u - y = 23, -u + y - t = 2*u. What is u rounded to the nearest ten? -10 Let o = -8.7 + -1.3. Let l = o - -9.999. Let h = 0.891 + l. Round h to one dp. 0.9 Let n be 0 + (-12)/(1 + -5). Suppose -22 = -5*h + 3. Suppose 1100004 = 2*y - 4*i, -n*y - h*i + 696161 = -953834. Round y to the nearest one hundred thousand. 600000 Let x = -6 + 5.7. Let u = -1 + x. Let d = -0.74 - u. Round d to one decimal place. 0.6 Let g = -0.2 - -0.4. Let d = 0.0479503 - -0.1520491. Let r = d - g. Round r to six decimal places. -0.000001 Let z = 7171111 - 7171008.00118. Let p = -103 + z. What is p rounded to 4 decimal places? -0.0012 Let u = 5.995 - 5.995018155. Round u to seven decimal places. -0.0000182 Let y = 7 - 1. Let l = y - 5.88. Let c = l + -0.11999936. What is c rounded to 7 decimal places? 0.0000006 Let j = -4.4107 + 4.45070064. Let d = j + -0.04. Round d to 7 decimal places. 0.0000006 Let s = 14742564.2 - -3854299.8. Let r = s + -18596883.9999994. Let j = -20 - r. What is j rounded to six dps? -0.000001 Let g = 2218.08 + -28.08. Let r = g + -2190.2697. Let q = -0.27 - r. What is q rounded to 4 dps? -0.0003 Let c(a) = -8510*a - 30. Let k be c(1). Round k to the nearest one hundred. -8500 Let l = 202.7 - 189. Let u = l + -13.6645. What is u rounded to three dps? 0.036 Let y = 246 + -246.0000304. Round y to five decimal places. -0.00003 Let p = 136.8 - 202. Round p to the nearest ten. -70 Let t be 12/(-9) - 472/(-12). Suppose 42*g - t*g = 31200. What is g rounded to the nearest 1000? 8000 Suppose g = 72 + 98. Let q be (-4)/(-18) + g/45. Let f be 1/q - (-5200005)/(-20). Round f to the nearest one hundred thousand. -300000 Let d = -1.871 - 0.049. Let v = 19.4 - 21. Let l = d - v. Round l to 1 dp. -0.3 Let g = 1.5096 + 212.3504. Let a = 2.5 + -214.5. Let c = a + g. Round c to 1 dp. 1.9 Let y = -160.1 + 153.27. Let m = 0.12 - y. Let v = 7 - m. What is v rounded to two decimal places? 0.05 Let g = -114.999624 + 115. What is g rounded to four decimal places? 0.0004 Let p(q) = -q**2 + q - 438. Let o be p(0). Let h = 293 + o. What is h rounded to the nearest ten? -150 Let g = -686 - -685.901. What is g rounded to 1 decimal place? -0.1 Let v = 48.27 - 12.99. Round v to zero decimal places. 35 Let y = -0.4880009 - -0.1779917. Let k = y - -0.31. What is k rounded to six dps? -0.000009 Let t = 6.7 - 5.08. Let s = t - -20.58. Round s to zero dps. 22 Let x = 0.144467 - 0.1456. Round x to four decimal places. -0.0011 Let s(j) = 10*j + 155. Let p be s(-15). Suppose -173833 = -3*z - 6535. Suppose -p*m = -5766 + z. Round m to the nearest one thousand. -10000 Let v be (-68530002)/7 + (-76)/(-266). Round v to the nearest one million. -10000000 Let j = 500.9999985 - 501. What is j rounded to 6 dps? -0.000002 Let y = -161.32 - 6.28. Let l = -189 - y. Round l to 0 decimal places. -21 Let r = 0.0242 + -358.0242. Let b = 358.191 + r. Round b to 2 decimal places. 0.19 Suppose -p - 15 = 5*w, 0 = -4*p + 3*w - 2 + 11. Suppose 5*s + f - 6*f + 195000 = p, 5*f = 0. Round s to the nearest 10000. -40000 Let a = -0.792 - -0.7919473. Round a to five dps. -0.00005 Let y = 137123081.134999153 - 137122798.135. Let h = -283 + y. Round h to seven dps. -0.0000008 Let m be (-1*2532/36)/((-2)/330). Round m to the nearest 100. 11600 Let w = 237.9999229 - 238. What is w rounded to six decimal places? -0.000077 Let i = -429.3643575 - 0.0866425. Let b = i - 0.549. Let h = 428.17 + b. What is h rounded to one decimal place? -1.8 Suppose 5*a + 3098135 + 4501870 = 2*l, -4*l + 5*a = -15200005. Round l to the nearest one million. 4000000 Let f = -1.18 - -1.1888. Round f to three decimal places. 0.009 Let a = 2206.998523 - 2207. What is a rounded to 5 decimal places? -0.00148 Let x = 1559720 + -1559538.9889. Let j = x + -181. Round j to three dps. 0.011 Let z = -116 - -272. Let f = 155.99999849 - z. Round f to seven decimal places. -0.0000015 Let h = 1.8516708 - 1.852. Round h to 5 dps. -0.00033 Let v = 1391 + -1391.00000613. Round v to six decimal places. -0.000006 Let z = -15 + 34. Let n = 18.62 - z. What is n rounded to one dp? -0.4 Let k = 23.00908 - 23.03. What is k rounded to 2 decimal places? -0.02 Let y = -21.24 - -0.24. Let u = y + 21.00007. Round u to 4 decimal places. 0.0001 Let a(f) = 1576*f - 46. Let c be a(-29). Round c to the nearest one thousand. -46000 Let k = 1302.0035 - 1302. What is k rounded to 2 dps? 0 Let z(j) = -15*j**2 + 303*j - 48. Let v be z(25). Round v to the nearest 100. -1800 Suppose 5*p + 0*p = 35. Suppose -p*a = -206 - 1124. Suppose -g + a = -390. What is g rounded to the nearest one hundred? 600 Let t = 425 + -705. Let i = t + 192. Let n = i + 88.57. What is n rounded to 1 dp? 0.6 Let y = -1 - -9. Let n = -7.79332 + -0.2066. Let u = y + n. Round u to four decimal places. 0.0001 Let n = 268 - 275.11. What is n rounded to the nearest integer? -7 Let x = -39628 + 55737. Let p = -16109.053093 + x. Let v = 0.053 + p. Round v to five dps. -0.00009 Let a = 44566.637 + -44356.63607. Let y = 210 - a. Round y to 4 dps. -0.0009 Let s = 0.6395444 - -233.3186856. Let k = 222.958233 - s. Let x = 11 + k. What is x rounded to 5 dps? 0 Let n = -69 - 57. Let g = -125.9999666 - n. What is g rounded to six dps? 0.000033 Let l = -0.6 - -1.3. Let z = l - 1.3. Let r = -0.60000022 - z. What is r rounded to seven dps? -0.0000002 Suppose -4*s = 2*b - 1200, -6*b + 2452 = -2*b - 5*s. What is b rounded to the nearest 1000? 1000 Let u(c) = 6330*c**2 + 9*c - 6. Let k be u(-5). Let t = k - -92801. Round t to the nearest ten thousand. 250000 Let b = 245 + -133. Let o = b + -106.1. Round o to the nearest integer. 6 Let f = 96 + -94. Suppose 0*v + 176 = -f*q - 4*v, v + 467 = -5*q. Round q to the nearest ten. -90 Let p(b) = -1251*b + 8. Suppose 2 = -t + 10. Let m be p(t). What is m rounded to the nearest 10000? -10000 Let m = 9.7 + -49.7. Let s = 130580.810105 - 130620.81. Let k = m - s. What is k rounded to 5 dps? -0.00011 Let p = 139.99816 - 140. Round p to 4 dps. -0.0018 Let g be (360/(-3))/((-21)/(-1820)). Round g to the nearest ten thousand. -10000 Let v = -333267.230047 + 333301.23. Let j = 34 - v. Round j to 5 dps. 0.00005 Suppose 0 = -4*m + 5*w + 173, -m = -0*m - 3*w - 45. Let q be ((-16)/14)/((-12)/m). Let c be -4 + (q - 589997) + -3. What is c rounded to the nearest 100000? -600000 Let s = -11 + -1. Let d = s - -11. Let i = d + 1.0101. What is i rounded to 3 dps? 0.01 Let p = -2381964.129 + 2382201.12900194. Let b = -237.312 + 0.312. Let v = p + b. What is v rounded to 7 decimal places? 0.0000019 Let s = -17 + 53. Let l = s + -15. Let c = l - 21.0048. Round c to 3 decimal places. -0.005 Suppose -4*l + 3855 = 11*l. Round l to the nearest one thousand. 0 Let x = -3.142 - -3.1. Let u = -3020576 + 3020576.04199922. Let f = x + u. What is f rounded to seven decimal places? -0.0000008 Let t(z) =
{ "pile_set_name": "DM Mathematics" }
ps. -0.000008 Suppose -2*u + 4*u - 20 = -4*j, 0 = 5*j - 25. Suppose -t + 7388 + 77612 = u. What is t rounded to the nearest 10000? 90000 Let y = -8234499952.99999929 + 8234499859. Let h = 94 + y. What is h rounded to 7 dps? 0.0000007 Let v = 131 - 130.99999352. What is v rounded to six dps? 0.000006 Let w = -63.51 - -12.105. Let r = w + 51. Let v = r - -0.4. What is v rounded to two dps? -0.01 Let i = 172009.200016 - 172008. Let h = -1.2 + i. What is h rounded to 5 decimal places? 0.00002 Let a be -1*(-1 + -2) + 472/(-8). Round a to the nearest 10. -60 Let i = 40437.59979 + -40438. Let g = i + 0.4. Round g to four dps. -0.0002 Let o = -0.09799807 - -0.098. Round o to 7 decimal places. 0.0000019 Let y = -41 - -40.9958. What is y rounded to 3 decimal places? -0.004 Suppose r = -2*r. Let l = -3 + r. Let n = -3 - l. What is n rounded to 3 dps? 0 Let x = 5.79 + -0.19. Let q = x - 6. Let r = q + 0.39995. Round r to five decimal places. -0.00005 Let n(j) = 34781*j**2 + 8. Let a be n(6). Let f = a + -882124. What is f rounded to the nearest 100000? 400000 Let z = -0.0996 - -0.111. What is z rounded to 3 decimal places? 0.011 Let d = -0.01 + 0.31. Let f = -0.28 + d. Let s = f - 0.0185. Round s to 3 decimal places. 0.002 Suppose s = 2*g + 4*s + 5460012, -3*g = -s + 8189996. What is g rounded to the nearest 1000000? -3000000 Let x = -127 + 126.9999943. Round x to 6 dps. -0.000006 Let j = 10.5 - 10.4735. What is j rounded to 2 dps? 0.03 Let l be -460*((-4 - -4) + -2500). Round l to the nearest 100000. 1200000 Suppose -4*c = c - 229765. Let q = -143673 + c. Let s = q + 50720. Round s to the nearest ten thousand. -50000 Let p = -5 - -5. Suppose m = -2*m + 6. Suppose -54015 = 4*h - 5*n, m*n + n - 9 = p. Round h to the nearest one thousand. -14000 Suppose 9*l - 25 = 4*l + 3*j, -5*l = -2*j - 30. Suppose -3*u - 2*k = 1166, -2*k + l = 2*k. Round u to the nearest one hundred. -400 Let f = 6.9 - 6.045. Let z = f + -0.8. What is z rounded to 2 decimal places? 0.06 Let g = 5.05 + -5. Let w = -0.007 + g. Let o = w - 0.433. What is o rounded to 1 decimal place? -0.4 Let w = 9.91 - -0.09. Let a = w - 6. Let x = 4.000012 - a. What is x rounded to five dps? 0.00001 Let r = -37 + 67. Let s be (-497988)/r - 2/5. What is s rounded to the nearest 1000? -17000 Let z be 5562999/36 - (-6)/(-8). Suppose -141998 = 2*y + 2*a, 0 = -5*y - 2*a + z - 509525. Round y to the nearest 10000. -70000 Let f = 0.888 + -0.73. Round f to 2 decimal places. 0.16 Let z = 36 - 67. Let t = z + 31.000085. What is t rounded to 5 dps? 0.00009 Let q = 728 + -727.529. What is q rounded to 1 dp? 0.5 Suppose 5*s + 3207 = -2*a, 2*a = 4*s - 1216 + 3796. Let g = 230 + s. Let p = g + 11313. Round p to the nearest one thousand. 11000 Let y = -5 + 0. Let b = y + 7. Let u = b + -14. What is u rounded to the nearest ten? -10 Suppose -3*a + 4*y = -8*a + 62, -3*y - 34 = -2*a. Let c be (-4)/a - 2104/(-14). Let n be ((-20000)/6)/(1/c). Round n to the nearest one million. -1000000 Let t = 8.58628 + -7.5863. Let i = t + -1. What is i rounded to 5 dps? -0.00002 Suppose 0 = q + q - 6. Suppose q*y - 5355 = 5*g, 2*g - 8894 = -y - 4*y. Round y to the nearest 100. 1800 Let x(v) = 167144*v - 28 - 28 + 64. Let t be 4/(-10) + (-33)/5. Let w be x(t). Round w to the nearest one hundred thousand. -1200000 Let x = -47.885 + -0.115. Let n = -59.4 - -109.5. Let o = x + n. What is o rounded to the nearest integer? 2 Let x = -24 + 30.4. Let g = -6.4000043 + x. What is g rounded to 6 decimal places? -0.000004 Suppose 2*z = 5*l - 2499990, 0*l - 4*z = l - 500020. Round l to the nearest 1000000. 1000000 Let o be 107000/(-8 - -4)*120. What is o rounded to the nearest one hundred thousand? -3200000 Suppose -2*i - 3*l - 308 = -6*i, 206 = 3*i + 4*l. Let b = 126 + i. What is b rounded to the nearest one thousand? 0 Let d = -15536.34 + 15342. Let f = d + 197. Let p = 0.14 + f. Round p to zero dps. 3 Let d = -35 - -5. Let f = d - -99. Let s = f + -68.9963. What is s rounded to 3 dps? 0.004 Let x = 8.14477646 + -22.14477608. Let k = x - -14. What is k rounded to seven dps? 0.0000004 Let w = 2825 - 5191. Let q be (-2 - -1)*(1 + w). Suppose 0 = 2*r + 5*i - 965, -3*i + q = 6*r - r. Round r to the nearest one hundred. 500 Let d = 1647810 + 11652190. What is d rounded to the nearest 1000000? 13000000 Let w = 41.4311483 + -75.43114752. Let d = w - -34. What is d rounded to 7 dps? 0.0000008 Suppose 81 = 2*l - 4*l - f, 3*f + 3 = 0. Round l to the nearest one hundred. 0 Let o = 137 + -136.878. Let d = o + -0.223. Round d to 2 decimal places. -0.1 Suppose -5*f - 5*q - 15 = 0, -4*f + q + 0*q = -3. Let v be -2 - -1 - f - -3. Let a(s) = 3450000*s. Let n be a(v). Round n to the nearest one million. 7000000 Let s = 0.04329 + 48.25871. Let z = -48 + s. Let v = 0.3 - z. What is v rounded to two dps? 0 Suppose -8826 - 4928 = a - 4*g, 27504 = -2*a + 4*g. Round a to the nearest 1000. -14000 Suppose -3*v + 9 - 36 = 0. Let x(n) = -9*n**3 - 4*n**2 - 7*n. Let r be x(v). What is r rounded to the nearest one thousand? 6000 Suppose 0 = 5*p - 0*p + x + 10730415, -4*p - 8584338 = 2*x. Let n be p/(-6)*18*1. Suppose u - n = -2138246. Round u to the nearest 1000000. 4000000 Suppose 4*g = -2*p + 220000, -4*g + 6*g = -2*p + 110000. What is g rounded to the nearest ten thousand? 60000 Let v = -93 - -93.536. Let f = 6.71 + -7.3. Let t = v + f. Round t to 2 dps. -0.05 Let r(f) = f**2 - 4*f - 5. Let i be r(5). Suppose k + 0*k = 4*t + 688, i = k + 2*t - 658. Let d be k - (-4 - -1 - -1). What is d rounded to the nearest 100? 700 Let d = -42197 - -72197. Round d to the nearest 100000. 0 Let t = -1715497 + 165497. Round t to the nearest 100000. -1600000 Let k be 4/4*(1 + -4). Let w(x) = -1155557*x**2 - 5*x - 2. Let j be w(k). What is j rounded to the nearest one million? -10000000 Let v = 476095 - 475893.063. Let p = 146.96 - v. Let z = 55 + p. Round z to 2 dps. 0.02 Let r be 3/7 - 6012/(-84). What is r rounded to the nearest one hundred? 100 Let z = -55.00116 - -55. What is z rounded to 4 dps? -0.0012 Let p = -11.1 + 9. Let t = 107.64 - 105. Let a = p + t. Round a to one dp. 0.5 Suppose 2*w - 3*p - 2 + 17 = 0, 5 = -3*w + p. Suppose 0*x + 165 = 5*h + 5*x, w = h + 5*x - 49. What is h rounded to the nearest ten? 30 Let h = 691.001488 + -815.0014654. Let v = h + 124. Round v to six dps. 0.000023 Suppose -m + 2081 - 9272 = 0. Let r = m - -14564. Let u = -4373 + r. Round u to the nearest one thousand. 3000 Let h = 23 + -6. Let v = h - 18.6. Let r = -1.5993 - v. What is r rounded to 4 dps? 0.0007 Let m be (-5 + 5)/(0 - -1). Suppose 0 = 4*r, -4*f - 5*r + 3*r + 64000 = m. What is f rounded to the nearest ten thousand? 20000 Let k = 3835025.19000068 + -3835025. Let i = -0.19 + k. What is i rounded to 7 decimal places? 0.0000007 Let x = -8619883513.39 - -8621127250.889894. Let v = -1243746 + x. Let c = 8.5 + v. What is c rounded to five dps? -0.00011 Suppose -9*g = -1796 - 166. What is g rounded to the nearest ten? 220 Let w = -0.24 - -0.04. Let u = w + 5.1. Let j = 6.14 - u. Round j to 1 decimal place. 1.2 Let t = -1092.5 + 1136.93. Let j = t - 44. Round j to one decimal place. 0.4 Suppose 13591 = -6*r - 310409. Round r to the nearest 10000. -50000 Let s = 965173.00277 + -965196. Let g = 23 + s. What is g rounded to four decimal places? 0.0028 Let o(a) be the third derivative of a**5/60 - a**4/24 + 28000*a**3/3 + 6*a**2. Let z be o(0). Round z to the nearest ten thousand. 60000 Let a = 20.028 + -19.6. Round a to 1 dp. 0.4 Let q = -7.92 + -0.08. Let b = q + 8.0000003. What is b rounded to six dps? 0 Let b = 24 + -15. Suppose -m = -4*m + b. Suppose -685003 = -5*w - y, -m*y + 274009 = 2*w - 0*w. Round w to the nearest 10000. 140000 Let g = 5676637906253 - 5676608172918.00079. Let c = -29733469 + g. Let w = -134 - c. Round w to 4 dps. 0.0008 Let h(p) = -3*p - 13. Let v be h(-9). Suppose 1 = -3*q - v, -c + 27 = -5*q. Suppose -c*u + 5*z + 59 = 0, 4*u - z = 29 + 62. Round u to the nearest ten. 20 Let p = 155 + -166.3. Let c = -5.4 - p. Round c to zero dps. 6 Let z = 87536.70999965 - 87535.71. Let s = 49 + -50. Let n = s + z. What is n rounded to 7 decimal places? -0.0000004 Suppose 151 + 5 = -4*i. Let w be (i + -3)/((-4)/10). Let t be (48/7)/(3/w). Round t to the nearest one hundred. 200 Let y = 1627
{ "pile_set_name": "DM Mathematics" }
of z? 2 Suppose 14 = -k + 2*y, -k - 2*y + 5*y - 15 = 0. Let q = k + 15. Suppose q*h + 126 = z + 2*z, 2*z = -3*h + 104. What is the units digit of z? 6 Let t(a) = -a**3 + a**2 + 2*a - 1. Let d be t(0). Let f be 3 + d - (-4)/1. Suppose 3*h - 197 = 2*w - f*w, w + 113 = 2*h. What is the units digit of h? 9 Suppose -16*o = 4*o + 6940. Let l = 791 + o. What is the hundreds digit of l? 4 Let w(u) = 3*u**2. Suppose -4 = -i, -q - 4*i + 11 = 4*q. Let y be w(q). Suppose 0*t + 18 = y*t. What is the units digit of t? 6 Let q = -8979 - -18293. What is the tens digit of q? 1 Let d = -70043 - -144961. What is the thousands digit of d? 4 Suppose j + 11 = 3*d - 4*j, -2*j = 5*d - 8. Let z be -13 - -7 - (-593 + 5*(-2)/(-5)). Suppose l + d*o - 135 = -0*o, z = 4*l - o. What is the units digit of l? 5 Suppose 0 = -4*i + 3*f + 97591, f + 57880 = 3*i - 15312. What is the hundreds digit of i? 3 Let a = 8784 - -1763. What is the units digit of a? 7 Let d(o) = 3*o - 13. Let z be d(6). Suppose -2*j + 4*j = 5*h + 972, -20 = z*h. What is the tens digit of j? 7 Let y(d) be the second derivative of -d**4/24 + d**3/2 + 13*d**2 - 10*d. Let v(g) be the first derivative of y(g). What is the units digit of v(-24)? 7 Let j = 37 - 36. Let m be (2512/8*1)/(1 + j). Let q = m + -107. What is the tens digit of q? 5 Let n = 81 + -59. What is the hundreds digit of 4 - (12/(-132) - 36848/n)? 6 What is the ten thousands digit of (-167592)/6*(-3)/4? 2 Let r be 1/((1/10)/(2/4)). Suppose -i = -3*u + r, i + 2*u - 7 - 3 = 0. Suppose 6*j + i*t = j + 512, t - 403 = -4*j. What is the units digit of j? 0 Suppose 63*c - 6*c = -5*c + 3725146. What is the ten thousands digit of c? 6 Suppose -5*z = -5*m + 175, -4*m - 31 = -15. Suppose -2*x + 0*x = -50. Let q = x - z. What is the units digit of q? 4 Let l(m) = -10*m + 34 - 24 + 7*m. Let y be l(2). Suppose 5*t = -4*p + 893, -6*p + t = -y*p - 443. What is the units digit of p? 2 Suppose 13*d = -6*d - 363147. What is the hundreds digit of (1 - 6/5) + d/(-115)? 1 Suppose 50*a - 196051 = 62999. What is the units digit of a? 1 Let r(c) = -230*c + 20. Let q be r(1). Let w = q - -1010. What is the hundreds digit of w? 8 Let c(o) = 4*o**3 - 71*o**2 + 4*o - 449. What is the ten thousands digit of c(26)? 2 Let w = -68 - -86. Suppose 15012 = w*p - 0*p. What is the tens digit of p? 3 Let n(z) = 10*z**2 + 7*z + 3. Suppose -4*b + 0*b = 8. Let s be n(b). Suppose s*q + 378 = 32*q. What is the tens digit of q? 2 Let h be 1*(3 + -4) + 3. Suppose h*l = -2*l - 0*l. What is the tens digit of l - (-99 + 2 + 1)? 9 Let f(u) = 87*u - 51*u - 42 - 46*u. What is the units digit of f(-16)? 8 Let q = 962 - -1032. Let p = -1385 - -1803. Suppose 12*c = p + q. What is the units digit of c? 1 Let o(r) = r**3 - 10*r**2 + 3*r - 26. Let v be o(10). Suppose u + 581 = w, -v*u = 4*w - w - 1778. What is the hundreds digit of w? 5 Suppose 4*y + 4*u = 464, 11*y - 12*y - 2*u + 118 = 0. Suppose -123*q - y = -125*q. What is the tens digit of q? 5 Let h be (-2)/((-12)/(-18)) - (-156 + -1). Suppose -y + 69 = 4*z - 2, -2*y = 4*z - h. What is the units digit of y? 3 Suppose -2*u - 14450 = -12*u. Suppose -5*n - 5*l = -4585 + u, -4*n = -2*l - 2488. Suppose 6*d - n = 510. What is the units digit of d? 9 Let l(m) = -4*m**3 + 189*m + 4*m**2 - 182*m - m**2 + 0*m**2. What is the hundreds digit of l(-5)? 5 Let c be 0 - 4 - (-12 - -3). Suppose -4*f + 15 = -c*f. What is the tens digit of (f - -89) + (1 - 0)? 7 Let b = 1068 - 678. Suppose 3*u + 11 = 4*l, -21*l - 3 = -25*l - 5*u. Suppose -4*k - 395 = -5*z - 3*k, -l*k = -5*z + b. What is the units digit of z? 0 Suppose -12*x + 57237 = 7857. What is the units digit of x? 5 Suppose 4*p + 12 = 0, 0*h = -4*h - 5*p - 3. Suppose h*t - 1192 = -166. What is the units digit of t? 2 Let l be (-128)/(-24)*((-585)/(-12))/5. Let n(z) = z**2 + 10*z - 4. Let t be n(-10). What is the tens digit of (l + -12)/((-2)/t)? 8 Suppose -z = 30 - 34. Suppose 4*o - r = 1694, 3*r + z = -2. What is the tens digit of o? 2 Let z(x) = -x**2 - 8*x + 230. Let f be z(-17). Let s(h) = h**2 - 3*h - 6. Let p be s(5). Suppose -f = -p*o + 27. What is the tens digit of o? 2 Let h(d) = 7*d**2 + 14*d - 517. What is the hundreds digit of h(-45)? 0 Suppose 4*v - 2*w + 5*w - 4785 = 0, 5986 = 5*v - w. Suppose -5*n + 118 = -v. What is the hundreds digit of n? 2 Suppose 0 = -4*l - 4*c + 48, 0 = 3*l - 19*c + 14*c - 44. Suppose 4658 = l*i - 2505. What is the units digit of i? 1 Suppose -10*r = -j - 8*r + 3691, -6 = -3*r. Suppose 0 = -3*l + v + j, -2*v - 3*v + 6165 = 5*l. What is the hundreds digit of l? 2 Let a(b) = 8*b - 11. Let p(t) = t. Let z(d) = -a(d) + 2*p(d). Let w = -18 - -1. What is the hundreds digit of z(w)? 1 Suppose 2*d + 3*j = 37809, -5*j - 56742 = -3*d - 0*j. What is the thousands digit of d? 8 What is the thousands digit of (7 - 13) + (7479 - -4)? 7 Suppose 0 = -42*f + 44*f - 10. Suppose -253 - 722 = -f*i. What is the hundreds digit of i? 1 Suppose 3*z - 11 = -2*w, -4*w - z = 2*z - 31. Let m be 19628/70 + (-4)/w. Suppose 5*v - 790 = 2*h - m, -5*v - 4*h = -540. What is the tens digit of v? 0 Let p = -46 - -49. Let r(k) = -k + 5. Let q be r(p). Suppose 0 = -q*u - 6, 5*m - 489 = 2*u + u. What is the units digit of m? 6 Suppose -13*v = -18*v + 4*o + 70966, 4*v - 56774 = 2*o. What is the hundreds digit of v? 1 What is the thousands digit of 3/(-12) + (-8 - 142410/(-40))? 3 Let y be 205/65 + (-10)/65. Suppose -1080 - 2469 = -y*m. What is the units digit of m? 3 Let q = -31 + 36. Suppose -4*b - 3*y = -1965, q*b = 3*b + 2*y + 972. Let s = b + -284. What is the tens digit of s? 0 Let o = 748 - -83. Let x = o - 481. What is the hundreds digit of x? 3 Suppose 0 = -432*p + 350*p + 629842. What is the units digit of p? 1 Suppose 594*b = 593*b + 24650. What is the thousands digit of (b/68)/((-1)/(-4))? 1 Let u(d) = 5*d - 1. Let l be u(-1). Let f be 0/(l - -7) - (1 - 4). Suppose -78 + 588 = f*o. What is the hundreds digit of o? 1 Let y = 34510 - 24424. What is the units digit of y? 6 Let h(u) = 11*u**2 + 3*u + 3. Let p = 66 - 64. Suppose 0 = -5*k + 17 - p. What is the hundreds digit of h(k)? 1 Let f be (2658/(-168)*-7)/((-2)/56). Let m = 4855 + f. What is the units digit of m? 4 What is the units digit of (1122/4)/(((-246)/(-340))/41)? 5 Suppose c + a - 296 = 0, -2*c + 2*a + 440 + 140 = 0. Let l = c - 104. Let i = l - 110. What is the units digit of i? 9 Let g be ((-35)/4)/5*16. Let f = 33 + g. Suppose 4*z - 3*z - 262 = -f*k, -168 = -3*k + 3*z. What is the units digit of k? 3 Let t = -346 - -7147. What is the tens digit of t? 0 Let m(y) = 13*y**2 + 78*y + 2934. What is the ten thousands digit of m(-53)? 3 Suppose -8 = -3*y + 34. Let o(g) = 7 + 8*g**2 - y - 7*g + 7 + g**3. What is the tens digit of o(-8)? 5 Let k(h) = -6*h - 20. Let o be k(-4). Suppose 0 = -a + o*a, 2*a + 16 = 2*g. Suppose -7*q = -g*q + 204. What is the tens digit of q? 0 Let u be 6/(-1*(14/4 - 5)). Let j(x) = 21*x**2 + 6*x - 56. What is the hundreds digit of j(u)? 3 Let u(t) = 3*t + 23. Let s be u(-7). Let f be (-4)/(1*s/(-4)). Let a(x) = 6*x + 17. What is the units digit of a(f)? 5 Suppose -n + 8 = 3*n. Let q(c) = -65*c**2 + c - 6. Let i be q(n). Let k = -121 - i. What is the tens digit of k? 4 Let q(u) = u + 3. Let c be q(-1). What is the hundreds digit of 997/c + (5 - (-27)/(-6))? 4 Let q(i) = i**3 + 33*i**2 + 17*i - 17. Let o(y) = y**2 + 1. Let h(j) = 14*o(j) - q(j). Let k(c) = c**2 - 9*c. Let n be k(6). What is the units digit of h(n)? 3 Let x = 0 - 32. Let m be x/(-12)*(-9)/6. What is the tens digit of -4*(3 + m)*17? 6 What is the tens digit of 5/(35/(-56)) + -2 + 15425? 1 Let b = 1166 - 778. Suppose 4*k + 16 = 0, -2*k + b = 4*p - 0*k. What is the units digit of p? 9 Suppose -5*r - 14 = -4*b + 5, -b = -2*r - 10. Let y(g) = -g**3 + g**2 + g + 34. What is the tens digit of y(r)? 1 Suppose 53*v = 47*v - 3672. Let w = 907 + v. What is the units digit of w? 5 Let l(s) = -6*s**2 - 10*s**2 - 5*s**2 + 21 + 59*s**2 + 37*s. What is the units digit of l(-5)? 6 Let y(h) = -58*h**2 - 494*h + 8. What is the tens digit of y(-4)? 5 Suppose 2*o = 0, 3*i = -0*o - 3*o + 105. Let r = i - -151. What is the units digit of r? 6 Let y(j) be the second derivative of -43*j**3/3 - 89*j**2/2 - j - 4. What is the units digit of y(-8)? 9 Let q = 682 + 4943. What is th
{ "pile_set_name": "DM Mathematics" }
299 Let p(k) = 2*k**2 + 16*k - 74. Give p(4). 22 Let a(c) = -4*c**3 + 5*c**2 - 33*c + 65. Determine a(5). -475 Let q(i) = i**3 - 18*i**2 - 38*i - 40. What is q(20)? 0 Let t(a) = a**3 - a**2 - 2*a + 1. Determine t(-2). -7 Let f(q) = -2*q**3 - q**2 - 4*q + 73. Determine f(-4). 201 Let u(p) = -p**2 + 14*p + 21. What is u(14)? 21 Let b(f) = 2*f**3 - 24*f**2 - 19*f - 102. Calculate b(13). -11 Let c(g) = -3*g**2 - 32*g + 202. Calculate c(0). 202 Let i(r) = -25*r - 374. What is i(-15)? 1 Let i(j) = -2*j**3 + 2*j**2 + 69*j - 8. Give i(-7). 293 Let w(m) = -m**2 - 542*m + 3256. What is w(6)? -32 Let u(h) = -3771*h + 30169. Calculate u(8). 1 Let k(g) = g**2 - 105*g + 974. What is k(11)? -60 Let f(z) = -12*z - 237. What is f(8)? -333 Let j(z) = z**3 + 28*z**2 + 194*z + 44. Determine j(-16). 12 Let i(j) = j**3 - 11*j**2 + 436*j - 837. Calculate i(2). -1 Let k(a) = a**2 - 5869*a - 100060. Give k(-17). 2 Let u(z) = 422*z + 3285. Give u(-8). -91 Let g(r) = -114*r**2 + r - 2. Determine g(-1). -117 Let g(b) = -b**3 + 33*b**2 + 65*b + 171. Calculate g(35). -4 Let p(q) = 2*q**2 - 45*q - 224. What is p(-5)? 51 Let x(v) = 92*v + 916. Determine x(-10). -4 Let g(f) = 10943*f - 43747. What is g(4)? 25 Let q(f) = -f**3 + 140*f**2 + 570*f + 779. Calculate q(144). -85 Let y(w) = -w**2 + 345*w - 8873. Give y(28). 3 Let d(k) = k**3 + 251*k**2 + 1468*k - 435. Calculate d(-245). 55 Let b(o) = -2*o**3 + 108*o**2 - 735*o - 44. Give b(46). 2 Let b(c) = -32*c**3 + c**2 - 19*c + 18. Determine b(1). -32 Let z(a) = a**3 - 16*a**2 + 23*a - 29. What is z(15)? 91 Let q(c) = c**3 - 8*c**2 + 13*c + 6. Calculate q(5). -4 Let g(j) = j**3 + 8*j**2 - 18*j - 18. Give g(-11). -183 Let n(j) = j**3 - 56*j**2 + 292*j - 180. Determine n(5). 5 Let h(n) = -2*n**2 + 109*n + 257. Calculate h(56). 89 Let m(o) = 8*o**3 + 368*o**2 + o + 9. Determine m(-46). -37 Let o(w) = -2*w**3 - 85*w**2 - 32*w + 428. Calculate o(-42). 8 Let m(v) = -6*v**3 - 9*v**2 - 47*v - 240. Give m(-6). 1014 Let l(r) = 155*r - 20166. What is l(130)? -16 Let j(d) = 20*d**2 + 219*d - 18. Determine j(-11). -7 Let p(h) = h**3 - 52*h**2 - 5*h + 195. Determine p(52). -65 Let p(s) = 133*s + 273. What is p(-3)? -126 Let k(t) = -4*t**2 + 31*t. Determine k(7). 21 Let u(r) = -114*r - 4256. Determine u(-37). -38 Let n(w) = w**3 - 38*w**2 + 51*w + 762. Determine n(36). 6 Let w(x) = 53*x**2 + 19*x - 40. What is w(2)? 210 Let j(z) = -7*z**2 - 610*z + 8213. Give j(-99). -4 Let u(o) = -2*o**2 - 1919*o - 9534. Give u(-5). 11 Let a(m) = -67*m + 438. Calculate a(6). 36 Let u(w) = 3*w**3 + 12*w**2 + 5*w + 74. Determine u(-5). -26 Let q(y) = 2*y**2 + 10*y + 197. Calculate q(-13). 405 Let f(n) = -n**3 - 5*n**2 + 15*n - 80. Calculate f(-8). -8 Let v(s) = -s**2 - 82*s - 1092. Determine v(-17). 13 Let q(v) = 9*v - 130. What is q(20)? 50 Let c(g) = -2*g**2 + 3463*g - 41255. Determine c(12). 13 Let f(m) = 10*m**2 + 3*m. What is f(-1)? 7 Let x(m) = 22*m + 683. Determine x(-17). 309 Let y(t) = t**3 - 3*t**2 - 2624*t + 7861. What is y(3)? -11 Let s(l) = 183*l - 38242. Give s(209). 5 Let j(v) = 3*v - 123. What is j(14)? -81 Let g(u) = u**2 - 3593*u - 1. Give g(0). -1 Let u(y) = y**3 - 16*y**2 - 13*y - 89. Determine u(17). -21 Let p(y) = y**3 + 21*y**2 - 439*y - 161. What is p(-34)? -263 Let a(h) = -7*h**2 + 4*h + 231. Determine a(0). 231 Let n(k) = k**2 + k + 9. What is n(4)? 29 Let f(o) = 4*o**2 - 258*o + 381. Calculate f(63). 3 Let s(i) = -i**3 + 11*i**2 + 10*i - 22. Give s(10). 178 Let k(z) = z**2 + 172*z + 817. Calculate k(-5). -18 Let y(m) = -5*m**2 + 11. Give y(-2). -9 Let u(x) = -x**3 - 14*x**2 + 52*x + 16. Give u(-17). -1 Let k(q) = 2*q + 189. Give k(-69). 51 Let l(j) = j**3 - 97*j**2 - 252*j + 5356. Calculate l(99). 10 Let m(b) = -b**3 + 121*b**2 - 457*b - 1286. Give m(117). 1 Let b(a) = -4*a**2 - a + 67. Calculate b(-4). 7 Let g(j) = -j**3 + 119*j**2 + 292*j - 6046. Determine g(121). 4 Let r(z) = -2*z**2 + 7*z + 304. Give r(14). 10 Let a(x) = 3*x**3 - 57*x**2 - 8*x + 9. Give a(19). -143 Let o(u) = -u**3 + 8*u**2 + 23*u - 140. Determine o(7). 70 Let x(l) = 7*l + 228. Calculate x(5). 263 Let p(r) = r**3 - 75*r**2 + 75*r - 103. What is p(74)? -29 Let g(l) = -l**3 + 63*l**2 - 109*l - 205. Give g(61). 588 Let i(b) = 3*b - 256. What is i(-38)? -370 Let r(z) = -7*z + 160. Give r(19). 27 Let k(t) = -t**2 + 183*t - 813. Calculate k(5). 77 Let w(a) = -255*a - 801. What is w(-3)? -36 Let m(f) = -75*f**2 - 169*f - 170. What is m(-1)? -76 Let x(i) = -i**2 - 120*i - 1003. Determine x(-9). -4 Let u(k) = k**3 + 21*k**2 + 51*k - 88. Determine u(-18). -34 Let v(g) = 44*g - 716. Give v(19). 120 Let i(g) = 9*g**2 - 129*g + 130. Determine i(1). 10 Let j(r) = -64*r - 4. Calculate j(2). -132 Let p(q) = -12*q**2 + 38*q - 1. Calculate p(4). -41 Let k(a) = a**3 - 7*a**2 - 220*a + 1720. What is k(8)? 24 Let y(j) = -j**3 + 40*j**2 + 272*j - 13. Calculate y(-6). 11 Let v(b) = b**3 - 30*b**2 - 33*b + 80. Give v(31). 18 Let v(o) = -o**3 - 209*o**2 + 849*o - 636. Determine v(-213). 3 Let n(w) = -2*w**2 - 7*w + 54. Calculate n(-7). 5 Let d(h) = -42*h - 63. Determine d(-1). -21 Let q(w) = -3*w**2 + 33*w + 217. Give q(-6). -89 Let l(v) = 456*v - 35572. Give l(78). -4 Let v(x) = -65*x - 712. Give v(-11). 3 Let z(a) = 153*a + 255. What is z(-4)? -357 Let d(x) = -x**3 + 25*x**2 + 113*x + 100. Determine d(29). 13 Let d(q) = 19357*q + 270998. Give d(-14). 0 Let z(y) = y**2 + 89*y + 717. What is z(-80)? -3 Let u(o) = -22*o**3 + 267*o**2 - 72*o + 427. Determine u(12). -5 Let m(q) = 3*q**3 + q - 1. Determine m(-1). -5 Let l(x) = x**3 - x**2 - 15*x - 19. Calculate l(4). -31 Let m(k) = -73*k + 3999. Calculate m(55). -16 Let i(s) = -s**3 + 11*s**2 - 6*s + 7. Calculate i(6). 151 Let y(z) = -2*z**3 - 23*z**2 - 44*z - 30. Calculate y(-9). -39 Let a(u) = -5*u**2 - 5*u - 16. Calculate a(-8). -296 Let t(s) = s**3 - 2*s**2 - 4*s - 83. Determine t(5). -28 Let n(t) = -10*t**2 - 87*t + 181. Determine n(-11). -72 Let n(u) = -3*u**2 + 101*u - 146. Give n(32). 14 Let o(v) = v**2 - 9*v - 112. Give o(18). 50 Let n(s) = s**3 + 21*s**2 + 8*s + 69. Give n(-21). -99 Let h(r) = -2*r**3 - 10*r**2 + 32. Give h(-4). 0 Let o(d) = d**3 + 63*d**2 + 817*d + 10. Give o(-18). -116 Let q(y) = -796*y - 6360. Determine q(-8). 8 Let k(r) = 3*r**2 + 240*r + 67. What is k(-80)? 67 Let y(l) = -481*l + 27. Determine y(0). 27 Let o(x) = -3*x**3 + 20*x**2 - 4*x + 74. Give o(7). -3 Let p(h) = -23*h + 177. What is p(8)? -7 Let m(x) = 8*x**2 + 246*x - 321. Give m(-32). -1 Let j(b) = 37*b**2 - 7*b - 10. Determine j(-2). 152 Let a(j) = -357*j + 11426. What is a(32)? 2 Let f(t) = 6*t**2 + 723*t + 363. Determine f(-120). 3 Let k(r) = -2*r**2 + 8*r + 50. Calculate k(-3). 8 Let x(v) = -79*v - 48. Calculate x(-2). 110 Let g(q) = q**2 + 155*q - 1188. Give g(-163). 116 Let d(h) = 61*h + 4683. Determine d(-76). 47 Let i(j) = 36531*j + 146131. Calculate i(-4). 7 Let p(r) = -2*r**3 + 152*r**2 + 510*r - 38755. What is p(76)? 5 Let h(v) = v**3 - 8*v**2 + 36*v - 391. Determine h(10). 169 Let x(y) = -y**3 + 90*y**2 - 78*y - 952. Determine x(89). 27 Let v(r) = -r**3 + r**2 + 15*r + 12. Give v(-5). 87 Let j(w) = -2*w**2 + 56*w - 238. What is j(24)? -46 Let h(j) = -65*j - 1236. What is h(-19)? -1 Let m(g) = 126*g + 167. What is m(-3)? -211 Let h(f) = 3*f**3 - f**2 + f. Calculate h(1). 3 Let u(r) = r**3 + 21*r**2 + 5*r - 306. Calculate u(-20). -6 Let h(m) = -9*m**3 - 114*m**2 - 169*m - 31. What is h(-11)? 13 Let r(s) = -15*s + 338. Give r(28). -82 Let v(r) = -15*r**2 + 167*r - 39. Give v(11). -17 Let a(b) = -2*b**3 - 857*b**2 - 441*b - 5568. Calculate a(-428). -4 Let w(t) = -t**3 - 25*t**2 + 6*t - 29. Calculate w(-25). -179 Let i(f) = f**2 - 98*f - 9942. What is i(160)? -22 Let u(g) = -2*g**2 - 445*g - 882. Determine u(-2). 0 Let n(w) = 4352*w + 21763. Give n(-5). 3 Let a(x) = 2*x**3 - x**2 + 9*x + 37. Calculate a(-3). -53 Let c(p) = 1509*p + 19683. What is c(-13)? 66 Let u(j) = 18*j**2 - 41*j - 85. Determine u(-2). 69 Let j(a) = 119*a + 3066. What is j(-26)? -28 Let g(r) = r**3 - 29*r**2 + 127*r + 133. Determine g(23). -120 Let l(n) = -n**3 + 12*n**2 + n - 123. Give l(11). 9 Let w(c) = -13*c + 5. What is w(4)? -47 Let u(p) = -1798*p - 5394. What is u(-3)? 0 Let n(o) = 2*o**2 + 619*o + 1848. What is n(-3)? 9 Let c(r) = -2*r**3 - 8*r**2 - 9*r - 7. What i
{ "pile_set_name": "DM Mathematics" }
= 11 + -8. Suppose -5*n - 5*r - 17 = -8*n, -d*r - 12 = 0. Let f = 0 - n. What is the remainder when 2 is divided by f? 0 Suppose 30*l - 308 = 19*l. Suppose -3*u - 60 = -4*z + 152, 159 = 3*z - 5*u. Calculate the remainder when z is divided by l. 25 Suppose 16 = 3*i - h, -6*h = -2*h + 16. Suppose 2*p = -2*p + 68. Calculate the remainder when p is divided by 2/(i - 14/4). 1 Let r be 18/30 - (53/5 + 0). Let x = r + 35. What is the remainder when x is divided by 7? 4 Calculate the remainder when 20/8*(-30)/(-3) is divided by ((-68)/136)/((-2)/56). 11 Suppose -4*i = -j + 36, -2*j - j + 48 = 3*i. Let a = j - -1. Calculate the remainder when a is divided by 12. 9 Let z(b) = -b**3 + 7*b**2 + 10*b - 30. What is the remainder when z(7) is divided by 16? 8 Suppose 3*a + 2*x + 14 = 0, 4*a - x = 8*a + 12. Let r = -317 + 325. Calculate the remainder when r is divided by 5 + (-3)/(a - -5). 0 Let v = 2 + 0. Suppose 27 = v*s + s. Suppose 8*j - 3*j = -2*y + 163, -4*j - 2*y + 130 = 0. Calculate the remainder when j is divided by s. 6 Let k(v) = -v**3 + 4*v**2 - 4*v + 5. Let x be k(4). What is the remainder when (-2)/1 + 39 + x + 12 is divided by 8? 6 Let v be (-3 - 2 - -4)*-2. Calculate the remainder when (0 + v)*(-345)/(-30) is divided by 6. 5 Let h = 340 - 182. Suppose -h = 10*p - 478. What is the remainder when 127 is divided by p? 31 Suppose 0 = -16*k + 15*k + 75. Suppose 15 = -5*c, z + 0*c = 2*c + 26. Calculate the remainder when k is divided by z. 15 What is the remainder when 33/2*-18*(-2 - -1) is divided by 18? 9 Suppose 7*m - 70 = 14. Calculate the remainder when 24/(-108) + (-317)/(-9) is divided by m. 11 Let b(u) = 2*u**2 + 2 + 3 + u - 3. Let t = 15 + -10. Calculate the remainder when b(-2) is divided by t. 3 Let s = 1003 - 971. Let w = -5 - -10. Calculate the remainder when s is divided by w. 2 Let y(m) = m**2 + 50*m + 288. What is the remainder when 234 is divided by y(-45)? 45 Calculate the remainder when (-14)/(-35) - (-2506)/10 is divided by 12. 11 Let g = 10 - -44. Calculate the remainder when g is divided by -1*(-2*3/2 - 8). 10 Suppose 18 = -2*s - 2*f + 58, -5*s + 96 = f. What is the remainder when 360 is divided by s? 18 Let r(n) = 33*n + n + 2 + 4. What is the remainder when r(1) is divided by 11? 7 Let r = -363 - -391. What is the remainder when r is divided by 12? 4 Suppose 2*d = -25 + 37. Suppose d*f = -4*f + 290. What is the remainder when 142 is divided by f? 26 Suppose -16 = -2*d + 3*b - 7*b, 2*d - 2*b - 10 = 0. Suppose 0 = -d*h - h + 1043. Calculate the remainder when h is divided by 30. 29 Suppose 383 = 196*c - 195*c. What is the remainder when c is divided by 66? 53 Suppose -9*m + 345 = -4*m. Let i = m + -34. What is the remainder when i is divided by 9? 8 Suppose -2*w + 129 = -5*w. Let m = -10 - w. Calculate the remainder when 65 is divided by m. 32 Let x be 3/15 - (-48)/10. Suppose -2*v + 7*v + 250 = 5*r, v + 34 = x*r. Let z = 76 + v. What is the remainder when z is divided by 12? 10 Calculate the remainder when 56 is divided by 3/(3 + -6) + 21 + -5. 11 Let z(s) = -s**3 + s**2 + s - 1. Let i(j) = 5*j**3 + 9*j**2 - 5*j + 17. Let u(l) = i(l) + 6*z(l). What is the remainder when 127 is divided by u(15)? 23 Suppose -18 = 5*q - 48. Suppose s - 11 = q. Calculate the remainder when 130/4 + (-2)/(-4) is divided by s. 16 Let v = 249 + -177. Let h = 104 - v. What is the remainder when 94 is divided by h? 30 Let n(u) be the second derivative of -u**5/20 + u**4/2 + u**3/2 - 17*u**2/2 - 28*u. Calculate the remainder when 3 is divided by n(6). 0 Let w(t) = -6*t - 6. Let g(h) = h + 1. Let l(p) = 10*g(p) + 2*w(p). Calculate the remainder when 123 is divided by l(-8). 11 Let a(r) be the second derivative of -7*r**3/3 + r**2 + 9*r. What is the remainder when a(-5) is divided by 19? 15 Let s = -282 - -320. What is the remainder when 42 is divided by s? 4 Let n(a) = -166*a**3 - a**2 - 3*a - 1. Calculate the remainder when n(-1) is divided by 97. 70 Suppose -5*v = -g - 65, 4*g + 65 = 4*v - 3. Suppose x - 29 = 27. Suppose -4*f - x = -5*j + 157, -123 = -3*j + 4*f. What is the remainder when j is divided by v? 9 Let f = 147 - 126. Let o(t) = -t**3 - t**2 + 2*t - 4. Let q be o(-5). Suppose 3*p - q = 34. What is the remainder when p is divided by f? 19 Let n = -188 + 215. Calculate the remainder when n is divided by 22. 5 Suppose 8*m + 3*z - 160 = 3*m, -3*z - 85 = -2*m. What is the remainder when m is divided by 15? 5 Suppose 2*w = -5*w + 504. Let k = 76 - w. What is the remainder when k is divided by 3? 1 Suppose 5*j + 3*x = 338, 3*x - 58 = -13*j + 12*j. What is the remainder when j is divided by 39? 31 Suppose 0 = r - 4 - 28. Let g(t) = t**3 - 4*t**2 + 8*t + 5. Suppose -9*z + 76 = 22. Calculate the remainder when g(z) is divided by r. 29 Let y = 4456 - 4441. Calculate the remainder when 46 + 2/(0 + -1) is divided by y. 14 Let q = 293 - 194. Suppose 2*r = -4*m + 112, -5*m - 3*r + 43 = -q. What is the remainder when 38 is divided by m? 12 Suppose 14*z = 3*x + 17*z - 114, 5*z = 5*x - 210. Calculate the remainder when x is divided by 40. 0 Let v be 2/5 + (-123)/(-5). Suppose u - 4*x = 15 + 14, u - v = 5*x. What is the remainder when u is divided by 12? 9 Suppose 2*y = -y + 9. Suppose 4*x - 14 = y*n, 2*n = -x - x + 14. Suppose -x*b + 33 = -37. Calculate the remainder when 26 is divided by b. 12 Suppose -2*s + 292 + 182 = 0. Calculate the remainder when s is divided by 45. 12 Let w = 76 + -332. Let m = -133 - w. Calculate the remainder when m is divided by 31. 30 Suppose 40 = 5*n - 90. Let q = n + -1. Calculate the remainder when 95 is divided by q. 20 Let v(a) = 2*a**3 - 5*a**2 + 2*a + 2. What is the remainder when 47 is divided by v(3)? 13 Let f = 1281 + -1270. What is the remainder when 38 is divided by f? 5 Suppose 961 = 10*r - 9. What is the remainder when r is divided by 45? 7 Let s(t) be the second derivative of t**3/3 + 38*t**2 - 27*t. Let d = 14 + -7. Calculate the remainder when s(-25) is divided by d. 5 Let j be (-2)/(-6) + 44/3. Let x be (12 - 14)*(2 - 4). Suppose -b + j = x*b. What is the remainder when b is divided by 3? 0 Suppose 0 = 36*u - 31*u. Suppose -4*b + 1 + 38 = 3*x, u = 2*x + 2*b - 28. Calculate the remainder when (32 + 0)/(0 + 1) is divided by x. 15 Suppose 1 = 2*l + 3*w + 32, -2*l - 25 = -3*w. Let s = -37 + 58. Let a = s + l. Calculate the remainder when 13 is divided by a. 6 Suppose -75 + 15 = 4*d. Suppose -f = -4*f + 105. What is the remainder when f is divided by (d/3 - -4) + 10? 8 Let t = 22 + -11. Suppose -s - 4*k = -4*s - 149, s + 53 = -2*k. Let b = -31 - s. Calculate the remainder when b is divided by t. 9 Let j = -271 - -325. What is the remainder when 150 is divided by j? 42 Suppose 12*u = -27*u + 273. Calculate the remainder when 92 is divided by u. 1 Suppose 30*g - 95 = 9685. What is the remainder when g is divided by 105? 11 Let i be 5/(-1)*3/(-5). Suppose -87 = -i*o - 12. Calculate the remainder when 4 is divided by o/10*6/5. 1 Suppose 3*b - 3*r - 8 = b, 5*b = r + 20. Suppose -k - b = -8. Suppose 3 = -k*n - 4*i - 9, 5*n - 5*i = 35. What is the remainder when 5 is divided by n? 1 Let g be 4/(-14) + 235/(-35). Let t = g - -12. Suppose -2*k - 2 = -m - t*k, 2*m + 5*k - 8 = 0. What is the remainder when 26 is divided by m? 12 Suppose -2*z - 10 = -5*a + 19, 0 = -3*z + 9. Suppose -2*j + 5*i + 39 = j, -4*j + 2*i = -52. Let f = j - 8. Calculate the remainder when a is divided by f. 2 What is the remainder when (-3017)/(-21)*27/9 is divided by 36? 35 Calculate the remainder when 548 is divided by (26/39)/((-4)/6)*-22. 20 Let v = 4656 - 4653. Let k = 5 - -6. What is the remainder when k is divided by v? 2 Let v be (8/12)/1*-3*148. Let f = v + 418. Calculate the remainder when f is divided by 31. 29 Suppose x + 11 = j, -3*x - 5*j = -2 + 27. Let f(m) = -2*m**2 - 17*m - 11. What is the remainder when (-4)/x - 746/(-10) is divided by f(-6)? 18 Suppose -5*c - 164 = -2*p, -3*c + 4*c = 4*p - 328. Calculate the remainder when p is divided by 37. 8 Suppose 5*x - 3*w = -0*w - 86, -82 = 4*x + 2*w. Let s(m) = m - 51. Let y be s(0). Let u = x - y. What is the remainder when u is divided by 9? 5 Suppose -3*r + 2*q + 0*q = 49, -3*r + 4*q = 47. Let b(l) = 8*l**3. Let k be b(-1). Let m = k - r. What is the remainder when 26 is divided by m? 8 Le
{ "pile_set_name": "DM Mathematics" }
, what is -2510 + -2344505? -2351415 In base 14, what is 4817c4 - 5? 4817bd In base 7, what is 43523 - 1201? 42322 In base 6, what is -55314330 + 2? -55314324 In base 3, what is 100 - -1120110012011000? 1120110012011100 In base 7, what is -15 - -11156142? 11156124 In base 13, what is -29388b - -1? -29388a In base 8, what is -232 - -2542512? 2542260 In base 7, what is 32 - 6211253? -6211221 In base 9, what is -401 - 27668? -28170 In base 11, what is -37 + -86180? -86207 In base 8, what is 414516671 - 4? 414516665 In base 12, what is -19711 + -40? -19751 In base 7, what is -35 + 1036663? 1036625 In base 14, what is 1cc057c + -12? 1cc056a In base 4, what is -11303311000 + -30? -11303311030 In base 4, what is -110 - -33102130333? 33102130223 In base 9, what is 1846548 - -505? 1847154 In base 9, what is -10352 - -30023? 18561 In base 13, what is -69 - 5950? -59b9 In base 14, what is -118aa426 + 2? -118aa424 In base 10, what is 107202 - -8? 107210 In base 11, what is 20a + 33a84? 34193 In base 2, what is 10111110010011110000010011 + -10? 10111110010011110000010001 In base 13, what is 4150 + -1741? 270c In base 8, what is 23 + 14607066? 14607111 In base 7, what is -1640 + -5312564? -5314534 In base 14, what is 23cbb - -d2? 23dad In base 3, what is -11120010201 + -1010111? -11121021012 In base 3, what is 2001 + 1020021222202? 1020022001210 In base 2, what is 1 + -10011110000100010101110? -10011110000100010101101 In base 7, what is 5003415 - 151? 5003234 In base 10, what is -558 + 24109? 23551 In base 6, what is 50113535004 - -1? 50113535005 In base 3, what is -210 + 1102020012202? 1102020011222 In base 15, what is 28 - -1a577? 1a5a0 In base 3, what is 20221111212010221 - -1? 20221111212010222 In base 6, what is 0 + 545104241? 545104241 In base 7, what is -11 - 32533505? -32533516 In base 13, what is b + 15a9b7? 15a9c5 In base 9, what is 120062 + -262? 118700 In base 12, what is -9bb85 - -58? -9bb29 In base 7, what is -405 - -40305? 36600 In base 13, what is 315c - -19ac4? 1cc53 In base 9, what is -3 + -2670130? -2670133 In base 10, what is 11383 - 1606? 9777 In base 10, what is -70 + -10970? -11040 In base 8, what is -4620 + -21713? -26533 In base 6, what is 2020131554 + -5? 2020131545 In base 9, what is -764 - 235320? -236184 In base 11, what is 7083a - -157? 70996 In base 5, what is 10 - -1141401200? 1141401210 In base 16, what is 16aab9 + -5? 16aab4 In base 6, what is 41240212 - -1? 41240213 In base 11, what is -16 - 1631618? -1631633 In base 4, what is -130 + -20300111? -20300301 In base 9, what is -122214 + 3220? -117884 In base 10, what is 16349703 + 6? 16349709 In base 4, what is 11333300 - 13220? 11320020 In base 3, what is -21020100010101021 - -11? -21020100010101010 In base 4, what is -23201230321 + 2? -23201230313 In base 9, what is 26 - -76756? 76783 In base 4, what is 21133023 - 2200332? 12332031 In base 11, what is 59156 - 155? 59001 In base 15, what is -1882 - -1d86? 504 In base 10, what is 22295 - 905? 21390 In base 6, what is 1 - -12542101034? 12542101035 In base 15, what is 4203a4 + -15? 42038e In base 10, what is 320 + -59485? -59165 In base 11, what is -3 - 22483994? -22483997 In base 15, what is 68ae + 9592? 10e51 In base 15, what is -1d + -5cc30? -5cc4d In base 6, what is -10424143 - -33? -10424110 In base 10, what is 2895307 - 0? 2895307 In base 9, what is 5033 + -15664? -10631 In base 8, what is 3611 + -40545? -34734 In base 15, what is -7d93772 + -4? -7d93776 In base 8, what is -3 + 267206023? 267206020 In base 8, what is -733 + -3304? -4237 In base 11, what is 6 + 16331037? 16331042 In base 4, what is -1033 - -30111030313? 30111023220 In base 12, what is 3 + 43b0a27? 43b0a2a In base 9, what is -13754 - -21248? 6384 In base 15, what is -9a59a06 - -5? -9a59a01 In base 6, what is 1014151454 - -2? 1014151500 In base 15, what is -a9 + 7492? 73d8 In base 10, what is 3006540 + -169? 3006371 In base 2, what is 111101001110101011 - -11000? 111101001111000011 In base 5, what is 141404244 + 203? 141410002 In base 2, what is 10010101001111101110100 + 1100000? 10010101001111111010100 In base 11, what is 18 - -361727? 361744 In base 10, what is 19105 + -438? 18667 In base 8, what is -10623 - -2002? -6621 In base 15, what is 395 - bd84? -b9de In base 14, what is 3b28 - -b74? 489c In base 8, what is 20512 - 3560? 14732 In base 12, what is 9 - 22560a? -225601 In base 12, what is 6200 + 27? 6227 In base 12, what is -10 + 10649827? 10649817 In base 9, what is 1 - -474817380? 474817381 In base 6, what is 10001 - -12530? 22531 In base 7, what is 4 - -13245260? 13245264 In base 7, what is -5 - -105150134? 105150126 In base 4, what is -303 + 331113010? 331112101 In base 4, what is 3112132332030 - -2? 3112132332032 In base 6, what is 124323 - 5402? 114521 In base 11, what is -2 - 165149? -165150 In base 6, what is 3 + 213402021? 213402024 In base 11, what is -139458 + -25? -139482 In base 8, what is -6 + 3565561? 3565553 In base 3, what is -100101212010 - -20? -100101211220 In base 15, what is 6 - -32b715? 32b71b In base 11, what is -44621 + -2617? -47138 In base 15, what is -23c - -10e8d? 10c51 In base 14, what is 2d97993 - 3? 2d97990 In base 15, what is 8d8eb - 6? 8d8e5 In base 8, what is -3150 + -5061? -10231 In base 8, what is -23016 - 12107? -35125 In base 16, what is 23bd7 + 5a? 23c31 In base 2, what is 100110010 - 1100110101010001? -1100110000011111 In base 3, what is -12 - 221022202112120? -221022202112202 In base 16, what is b3c9 - -4? b3cd In base 7, what is -42651 - 5662? -51643 In base 9, what is 263 - -620065? 620338 In base 16, what is 19 + -31365? -3134c In base 2, what is 1001111110001110001010000 + -101? 1001111110001110001001011 In base 10, what is -4 + 269540635? 269540631 In base 14, what is -3 - aa0871? -aa0874 In base 2, what is 11 - -1101011111101011000110? 1101011111101011001001 In base 7, what is 24203 - -55526? 113032 In base 4, what is 30031 + 1221022033? 1221112130 In base 8, what is -40735 - 12624? -53561 In base 4, what is 12202112 + -131102? 12011010 In base 5, what is 4011311313 + 410? 4011312223 In base 7, what is -300563321 - 2? -300563323 In base 8, what is -22331 + 336? -21773 In base 12, what is -18 + 80366? 8034a In base 8, what is -44566 + -1254? -46042 In base 15, what is 3e + -18e0? -18a1 In base 7, what is 124250256 + -6? 124250250 In base 12, what is 322535 - -26? 32255b In base 6, what is -4220 + 13223? 5003 In base 11, what is -a19504a - 49? -a195098 In base 7, what is 140 + 32351120? 32351260 In base 2, what is 1001001101 - 100100010? 100101011 In base 5, what is -1331302 + 22? -1331230 In base 16, what is -1 + 25c4be? 25c4bd In base 8, what is 106652 + 43? 106715 In base 5, what is -10 + -2103202034? -2103202044 In base 15, what is -93 - 91c66? -91d09 In base 11, what is 2 - 2921717? -2921715 In base 8, what is -643 + -2332355? -2333220 In base 9, what is 5535144 - 3? 5535141 In base 12, what is -55667ba - -11? -55667a9 In base 15, what is -58 - -7d7c? 7d24 In base 2, what is -11 - -101101110100010110110000? 101101110100010110101101 In base 2, what is 1 - -10111100011001010101? 10111100011001010110 In base 5, what is -222123 + 4424? -212144 In base 9, what is -1 + 77147357? 77147356 In base 9, what is -11 + 8285315? 8285304 In base 9, what is 702 + -21384? -20582 In base 10, what is 2363228 + -64? 2363164 In base 6, what is 44022233 - -45? 44022322 In base 7, what is 361 + -4054324? -4053633 In base 7, what is -213445 + -306? -214054 In base 12, what is -825173 + -3? -825176 In base 13, what is -189 + b6b? 9b2 In base 13, what is c + 6920c? 6921b In base 16, what is 1d37dd6 - 2? 1d37dd4 In base 10, what is -2895672 + 11? -2895661 In base 3, what is -102 + -1102120201212010? -1102120201212112 In base 5, what is 2312334 + 333? 2313222 In base 2, what is 101110 + 10000010110100100111? 10000010110101010101 In base 6, what is 1035141 + -4444? 1030253 In base 13, what is 3 - -a880a? a8810 In base 16, what is -2f346 + 291? -2f0b5 In base 8, what is 40206552 + -105? 40206445 In base 9, what is 6 + -540663552? -540663545 In base 9, what is -334850 - -168? -334671 In base 11, what is 2 - -332789a? 33278a1 In base 13, what is -2866a - -23a? -28430 In base 4, what is -120322131 + 1001210? -113320321 In base 13
{ "pile_set_name": "DM Mathematics" }
atest common divisor of 77 and 33. 11 What is the highest common divisor of 310 and 434? 62 What is the greatest common divisor of 18 and 4869? 9 Calculate the highest common divisor of 1232 and 242. 22 What is the highest common divisor of 675 and 54? 27 What is the highest common factor of 136 and 16? 8 What is the greatest common divisor of 715 and 10? 5 Calculate the highest common divisor of 18 and 846. 18 What is the greatest common divisor of 14 and 4529? 7 Calculate the greatest common divisor of 5280 and 8360. 440 Calculate the highest common divisor of 91 and 35. 7 What is the greatest common divisor of 9517 and 31? 31 What is the greatest common divisor of 119 and 7395? 17 What is the highest common factor of 1652 and 56? 28 Calculate the greatest common factor of 141 and 47. 47 What is the highest common factor of 576 and 19296? 288 What is the highest common factor of 180 and 45? 45 What is the greatest common factor of 30 and 18? 6 Calculate the highest common factor of 12 and 21. 3 Calculate the highest common factor of 215 and 516. 43 Calculate the highest common divisor of 84 and 651. 21 Calculate the highest common factor of 1343 and 17. 17 What is the greatest common divisor of 350 and 875? 175 Calculate the highest common factor of 73 and 4453. 73 Calculate the highest common factor of 4096 and 1. 1 Calculate the greatest common divisor of 380 and 228. 76 Calculate the greatest common divisor of 4642 and 44. 22 Calculate the highest common factor of 33 and 96459. 33 What is the greatest common factor of 245 and 420? 35 What is the greatest common factor of 42 and 231? 21 What is the highest common factor of 128 and 32? 32 What is the greatest common factor of 42 and 63? 21 Calculate the greatest common divisor of 189 and 1197. 63 Calculate the highest common divisor of 385 and 133. 7 Calculate the highest common divisor of 965 and 40. 5 What is the highest common divisor of 270 and 120? 30 Calculate the greatest common factor of 23 and 575. 23 What is the highest common factor of 50 and 2? 2 What is the highest common factor of 18504 and 72? 72 Calculate the greatest common factor of 5 and 10385. 5 Calculate the highest common factor of 1855 and 1696. 53 Calculate the highest common factor of 20 and 32. 4 Calculate the greatest common factor of 10528 and 56. 56 What is the greatest common factor of 1090 and 10? 10 What is the greatest common factor of 18 and 9? 9 Calculate the highest common divisor of 26 and 221. 13 Calculate the highest common factor of 74 and 259. 37 What is the highest common divisor of 90 and 1170? 90 Calculate the highest common divisor of 21 and 77. 7 Calculate the greatest common factor of 240 and 5616. 48 What is the highest common divisor of 1292 and 170? 34 Calculate the greatest common divisor of 279 and 248. 31 Calculate the highest common divisor of 207 and 92. 23 Calculate the greatest common factor of 115 and 69. 23 What is the greatest common divisor of 150 and 24? 6 What is the greatest common factor of 234 and 338? 26 What is the highest common divisor of 432 and 16? 16 Calculate the highest common divisor of 58 and 1334. 58 Calculate the greatest common factor of 2512 and 16. 16 What is the greatest common factor of 110 and 1210? 110 Calculate the greatest common factor of 196 and 1078. 98 Calculate the highest common divisor of 265 and 5. 5 Calculate the highest common divisor of 640 and 190. 10 Calculate the greatest common divisor of 216 and 288. 72 Calculate the highest common factor of 82 and 10. 2 What is the greatest common divisor of 198 and 108? 18 What is the greatest common factor of 148 and 407? 37 What is the greatest common factor of 30 and 340? 10 What is the highest common divisor of 138 and 621? 69 Calculate the greatest common divisor of 66 and 242. 22 Calculate the highest common divisor of 14 and 2. 2 What is the greatest common factor of 2 and 562? 2 What is the highest common divisor of 2720 and 304? 16 Calculate the highest common factor of 238 and 42. 14 Calculate the greatest common factor of 45 and 4365. 45 What is the greatest common divisor of 1081 and 161? 23 Calculate the greatest common factor of 235 and 10. 5 What is the highest common divisor of 43183 and 62? 31 Calculate the greatest common factor of 48 and 636. 12 What is the greatest common divisor of 1386 and 44? 22 What is the highest common factor of 5825 and 932? 233 Calculate the greatest common factor of 51 and 833. 17 What is the greatest common factor of 10 and 65? 5 Calculate the greatest common divisor of 15092 and 1029. 343 What is the greatest common divisor of 36 and 900? 36 Calculate the highest common factor of 39 and 22828. 13 What is the greatest common divisor of 29 and 1769? 29 Calculate the greatest common divisor of 77 and 33. 11 Calculate the greatest common divisor of 280 and 90. 10 What is the highest common factor of 23 and 299? 23 What is the highest common factor of 522 and 18966? 174 What is the highest common factor of 11 and 10813? 11 What is the highest common factor of 2355 and 15? 15 Calculate the greatest common divisor of 7 and 3409. 7 Calculate the greatest common factor of 3000 and 1680. 120 What is the greatest common factor of 10 and 270? 10 Calculate the greatest common factor of 20 and 5. 5 Calculate the highest common factor of 9 and 369. 9 What is the highest common factor of 1296 and 16? 16 What is the highest common factor of 781 and 77? 11 Calculate the highest common divisor of 12 and 13812. 12 Calculate the highest common divisor of 498 and 9. 3 Calculate the greatest common divisor of 40 and 320. 40 What is the highest common divisor of 9694 and 74? 74 Calculate the greatest common factor of 1413 and 18. 9 Calculate the highest common divisor of 230 and 40365. 115 What is the greatest common divisor of 312 and 13624? 104 Calculate the greatest common factor of 39 and 1053. 39 Calculate the highest common divisor of 104 and 637. 13 Calculate the highest common divisor of 11382 and 42. 42 What is the greatest common factor of 663 and 85? 17 Calculate the greatest common factor of 341 and 44. 11 Calculate the highest common factor of 15 and 3945. 15 What is the highest common factor of 31 and 2? 1 Calculate the highest common divisor of 169 and 2444. 13 Calculate the greatest common divisor of 182 and 14. 14 Calculate the highest common divisor of 555 and 148. 37 What is the greatest common divisor of 9 and 603? 9 Calculate the greatest common factor of 202 and 505. 101 Calculate the highest common factor of 392 and 42. 14 Calculate the highest common divisor of 20 and 590. 10 Calculate the highest common factor of 15 and 405. 15 What is the highest common factor of 56 and 2688? 56 What is the highest common divisor of 13 and 5148? 13 What is the highest common divisor of 225 and 315? 45 What is the highest common divisor of 8 and 80? 8 Calculate the highest common divisor of 495 and 45. 45 Calculate the greatest common factor of 237 and 35787. 237 What is the highest common factor of 49 and 4361? 49 What is the greatest common factor of 38 and 2470? 38 What is the highest common divisor of 19 and 1? 1 Calculate the highest common factor of 354 and 59. 59 Calculate the highest common divisor of 14508 and 124. 124 Calculate the highest common factor of 40 and 320. 40 What is the greatest common divisor of 306 and 72? 18 Calculate the greatest common factor of 83 and 2573. 83 What is the highest common divisor of 726 and 9559? 121 Calculate the greatest common factor of 553 and 79. 79 What is the highest common factor of 328 and 123? 41 Calculate the greatest common factor of 2884 and 14. 14 Calculate the greatest common factor of 76 and 4750. 38 Calculate the greatest common factor of 2 and 27926. 2 Calculate the greatest common divisor of 16 and 400. 16 Calculate the highest common divisor of 12 and 3. 3 Calculate the highest common factor of 245 and 70. 35 What is the highest common factor of 48 and 200? 8 Calculate the highest common factor of 1875 and 105. 15 What is the greatest common factor of 134 and 11926? 134 Calculate the greatest common divisor of 264 and 330. 66 What is the highest common factor of 783 and 203? 29 Calculate the highest comm
{ "pile_set_name": "DM Mathematics" }
*s(c) + 17*i(c). Determine -2*g(u) - 4*m(u). -2*u Let t(c) be the third derivative of 1/10*c**5 + 35*c**2 + 5/12*c**4 + 0 - c + 5/3*c**3. Let r(n) = 2*n**2 + 3*n + 3. Determine -20*r(l) + 6*t(l). -4*l**2 Let k(d) = 160*d**3 + 16*d**2 + 2. Let r(z) = -164*z**3 - 12*z**2 - 3. What is 3*k(g) + 4*r(g)? -176*g**3 - 6 Let l(p) = 43*p**3 + 5*p**2 - 14*p - 55. Let d(z) = 65*z**3 + 8*z**2 - 22*z - 81. What is -5*d(q) + 8*l(q)? 19*q**3 - 2*q - 35 Let f(n) = -n - 1. Let j(b) = 3. Let s be ((-9)/(6 - 6 - 3))/3. Calculate s*j(d) + 5*f(d). -5*d - 2 Let p be 2/(-5) + (-12)/(-5). Let n(x) be the first derivative of -13*x**3/3 + 9*x**2/2 - 5*x - 6053. Let i(m) = 3*m**2 - 2*m + 1. Determine p*n(z) + 9*i(z). z**2 - 1 Let g(x) = 3*x**2 + 5*x - 5. Let o = -9 - -4. Let t be (720/864 + (-2)/4)/((-2)/(-18)). Let c(r) = 2*r**2 + 3*r - 3. Determine o*c(u) + t*g(u). -u**2 Let x(f) = 13*f + 78. Let g(m) = -35*m - 233. Give -6*g(y) - 17*x(y). -11*y + 72 Let k(x) = 319*x - 154*x + 4*x**2 - 167*x. Let r(c) = -17*c**2 + 9*c - 1. Let v(j) = j**3 + 11*j**2 - 11*j + 14. Let o be v(-12). Give o*r(h) + 9*k(h). 2*h**2 - 2 Let p(a) be the third derivative of 3*a**4/8 + 2*a**3/3 - 4*a**2. Let o(t) be the first derivative of -13*t**2/2 - 6*t + 3403. Calculate 5*o(j) + 8*p(j). 7*j + 2 Let k(j) = 10*j - 1. Let w(v) = -v + 1. Suppose 18*q = 2*n - 4*n + 14*q - 6, 0 = 5*q. What is n*w(d) - k(d)? -7*d - 2 Suppose 148*d = 118*d + 390. Let k(m) = 4*m**2 + 15*m + 15. Let p(h) = -2*h**2 - 7*h - 7. Calculate d*p(c) + 6*k(c). -2*c**2 - c - 1 Suppose 54*h = 208*h + 2464. Let q(r) = 4 + 1 - 7*r - 8. Let a(s) = -26*s - 6. Let i(z) = -z - 1. Let j(l) = a(l) + 10*i(l). Calculate h*q(x) + 3*j(x). 4*x Let s(v) = -1. Let u(o) = o - 2. Let d(i) = -3*s(i) + u(i). Let n(f) = -3204*f**2 + 5 - f**3 + 5*f + f + 3202*f**2. What is -5*d(q) + n(q)? -q**3 - 2*q**2 + q Let u(t) = -55*t**3 - 33*t**2 - 11*t + 36. Let w(n) = 27*n**3 + 15*n**2 + 5*n - 16. Give 4*u(i) + 9*w(i). 23*i**3 + 3*i**2 + i Let c(k) = -k**2 + 4*k + 2. Let p(s) = 10*s**2 + 30*s - 12. Determine 6*c(x) + p(x). 4*x**2 + 54*x Let g(x) = 41*x + 5. Let i(v) be the third derivative of 253*v**4/8 + 46*v**3/3 - 2*v**2 + 78. Calculate 92*g(s) - 5*i(s). -23*s Let n(d) = 4*d + 2. Let b(i) = -i - 1. Suppose l + 3*l + 236 = 0. Let a = -60 - l. Calculate a*n(k) - 3*b(k). -k + 1 Let r(s) = -1301*s**3 + 4*s**2 + 6*s - 4. Let o(z) = z**3 + z**2 + 2*z - 1. Give 4*o(i) - r(i). 1305*i**3 + 2*i Let m(f) = -616*f**2 + f - 84. Let j(p) = p**3 + p - 28. Calculate 3*j(k) - m(k). 3*k**3 + 616*k**2 + 2*k Let k(g) = g**3 + g**2 + 3*g. Let v(m) = 9*m**3 + 2*m. Determine -5*k(w) + v(w). 4*w**3 - 5*w**2 - 13*w Let h(s) = 4*s**2 - s + 3. Let f(k) = -39. Determine -f(a) + 2*h(a). 8*a**2 - 2*a + 45 Let o(t) = t. Let s(k) be the second derivative of -k**3/6 - 10*k + 44. What is -o(i) + 3*s(i)? -4*i Let p(k) = -k**2 + k + 1. Let f(l) = 4*l**2 - 7*l - 7. Let i(g) = g**2. Let y(a) = -f(a) - 2*i(a). Let d = -31109 - -31115. Calculate d*y(t) - 42*p(t). 6*t**2 Let p(h) = h**2 + 4*h + 2. Let v(g) = 3*g**2 - g + 1. Determine -p(u) + v(u). 2*u**2 - 5*u - 1 Let h(s) = -665*s**2 + 1. Let v(r) = 5377*r**2 - 7. Calculate 17*h(q) + 2*v(q). -551*q**2 + 3 Let x(q) = -4*q - 8. Let g(h) = 9*h + 15. Suppose 0 = 3*c + 4*b - 10, -c + 73*b - 70*b = 14. What is c*g(k) - 5*x(k)? 2*k + 10 Let k(b) = 11*b + 3. Let o(r) = -2*r**3 - 7*r**2 + 115*r + 138. Let h be o(-9). Let d(w) = w. Calculate h*d(x) + k(x). 5*x + 3 Let u(z) be the second derivative of z**4/12 + z**3/6 - 3*z**2 + 337*z. Suppose t = -4*o - 1, 4*t + 0 - 15 = 3*o. Let m(g) = -g + 1. Calculate o*m(p) - u(p). -p**2 + 5 Let s(f) = 156*f**3 + 10*f**2 + 21*f - 11. Suppose 168 = 31*r + 509. Let p(d) = 31*d**3 + 2*d**2 + 4*d - 2. Determine r*p(n) + 2*s(n). -29*n**3 - 2*n**2 - 2*n Let c(s) = 3*s**3 + 2*s**2 - 14*s + 14. Let k(f) = -7*f**3 - 4*f**2 + 31*f - 30. Give -5*c(l) - 2*k(l). -l**3 - 2*l**2 + 8*l - 10 Let z(c) = 225*c - 5097. Let t(w) = 94*w - 2039. Determine -12*t(y) + 5*z(y). -3*y - 1017 Let q(l) = l**2 + 4*l - 163. Let m be q(11). Let w(t) = -3*t**3 + 5. Let c(p) = -p**3 + 2. Let n = -21 + 25. Suppose -d - 1 = n. Give d*c(i) + m*w(i). -i**3 Suppose -20 = 3*x + 2*x. Let v = 500 + -534. Let j be v/(-85) - (-7)/(-5). Let s(r) = r**2 + r - 1. Let w(d) = -3*d**2 - 3*d + 4. Give j*w(l) + x*s(l). -l**2 - l Let r(b) = 20*b**3 + b**2 + 19. Let h(q) = 16*q**3 + q**2 + 19. Determine 6*h(o) - 5*r(o). -4*o**3 + o**2 + 19 Let n(r) = 15*r**2 - 16*r**2 + 0 + 22 - 45*r**2 + 2*r - 24. Let t(j) = -4738*j**2 + 207*j - 207. Determine 207*n(o) - 2*t(o). -46*o**2 Let g(r) = -2869*r**3 + 121*r**2 + 1462*r**3 - 121 + 121*r + 1506*r**3. Let z(q) = 5*q**3 + 6*q**2 + 6*q - 6. Determine -6*g(f) + 121*z(f). 11*f**3 Let n(a) = 11*a**2 - 4*a + 567. Let g(k) = -16*k**2 + 6*k - 855. What is 5*g(m) + 7*n(m)? -3*m**2 + 2*m - 306 Let v(s) = 16106906*s**2 + 22085*s. Let g(q) = -32821*q**2 - 45*q. Determine -4417*g(h) - 9*v(h). 8203*h**2 Let w(k) = -14*k. Let a(t) = 3*t. Let c(p) = -2*p**2 + 5*p - 3. Let q be c(4). Let z be (-1209)/468 + 80/(-192). Give q*a(i) + z*w(i). -3*i Let y(i) = -i**3 + 4*i - 4. Let w(k) = 4*k**3 - 19*k**3 + 8*k**3 - 26*k + 13*k**3 + 5*k + 21. What is -4*w(v) - 21*y(v)? -3*v**3 Let d(p) = -5*p + 4. Let s(c) = 11*c**3 - 18*c**2 - 5*c + 9. Let z(w) = -24*w**3 + 39*w**2 + 9*w - 18. Let n(l) = 13*s(l) + 6*z(l). Determine 9*d(r) - 4*n(r). 4*r**3 - r Let f(i) = -214*i**2 - 9*i - 25. Let h(n) = 78*n**2 + 3*n + 8. Give 3*f(g) + 8*h(g). -18*g**2 - 3*g - 11 Suppose 3*x = -13*w + 9*w - 6, 6*x = -2*w - 30. Let q(v) = -2*v**2 - 20*v - 5. Let b(m) = -2*m**2 - 21*m - 6. Determine x*q(k) + 5*b(k). 2*k**2 + 15*k Let p(i) = 8*i**2 + i - 3*i**2 + 6 + 5*i. Let b(j) = -4*j**2 - 5*j - 5. Let u = -22 + 16. Let h(o) = -18*o - 635. Let c be h(-35). What is c*p(q) + u*b(q)? -q**2 Let y(j) = -7*j - 7. Let p(o) = 13*o + 13. Suppose -36*a - 9 = 207. Suppose 44*d + 11 = 43*d. What is a*p(t) + d*y(t)? -t - 1 Let p(n) = -1. Let y(o) = o**2 - 8*o - 1. Let a be y(8). Let w(d) = -5*d - 2. Let u(f) = 2*f + 1. Let c(l) = -6*u(l) - 3*w(l). What is a*p(j) - c(j)? -3*j + 1 Let q(o) = 86*o**3 + 18*o**2 + 920*o + 16. Let r(j) = -27*j**3 - 6*j**2 - 306*j - 5. Determine -5*q(x) - 16*r(x). 2*x**3 + 6*x**2 + 296*x Let c = 1167 - 1196. Let i(h) = 58*h**2 + 29*h. Let x(v) = v**2 + v. Calculate c*x(a) + i(a). 29*a**2 Let u = -13622 + 13617. Let x(z) = -13*z**2 - 2*z + 2. Let g(c) = 27*c**2 + 4*c - 5. Calculate u*x(b) - 2*g(b). 11*b**2 + 2*b Let p(i) = -i**2 - i - 1. Let f(m) = 6*m**3 + 6*m - 2. Calculate -f(a) + 2*p(a). -6*a**3 - 2*a**2 - 8*a Let x(g) = 11*g**3 - 9*g**2 - 9*g. Suppose 36 = -29*y + 31*y. Let p(f) be the first derivative of 3*f**4/4 - 2*f**3/3 - f**2 + 336. Give y*p(t) - 4*x(t). 10*t**3 Let z be ((528/220)/(85/25))/((-2)/(-17)). Let r(h) = 3*h**2 + 4*h - 2. Let v(n) = 3*n**2 + 3*n - 2. Let g = -13 - -8. Calculate g*r(u) + z*v(u). 3*u**2 - 2*u - 2 Let s(p) = 164*p - 35*p**2 - 129*p - 31*p - 4. Let t(u) = -279*u**2 + 31*u - 31. Give -31*s(g) + 4*t(g). -31*g**2 Let l(q) = 9*q + 5. Let w(o) = 4*o + 2. Let d = 2354 + -2348. Give d*l(h) - 13*w(h). 2*h + 4 Let p(r) = 2*r**3 + r + 2. Let t(m) = -3*m**3 - 2*m - 3. Let f = 116137 - 116143. Let y = -32 - -10. Let c be 1 + 0 - y/(-2). Calculate c*p(k) + f*t(k). -2*k**3 + 2*k - 2 Let t(i) = 26*i**3 - 4. Suppose 3*c + 674 - 647 = 0. Let v(a) = -52*a**3 + 9. Give c*t(l) - 4*v(l). -26*l**3 Let z(m) = -163*m**3 - 8*m + 6. Let g(y) = 1794*y**3 - 2*y**2 + 92*y - 68. Give 2*g(c) + 23*z(c). -161*c**3 - 4*c**2 + 2 Let d(h) = -23*h**2 - 2*h + 10. Let r(i) = 3*i**2 - 2. Calculate d(g) + 5*r(g). -8*g**2 - 2*g Suppose -57*d + 110*d = -371. Let x(z) = 9 + 2*z + 16 - z**2 - 40 + 5*z. Let f(c) = -c**2 + 5*c - 10. Give d*f(n) + 5*x(n). 2*n**2 - 5 Let y(a) = -7*a**3 - 6*a**2 - 8*a - 8. Let o(s) be the second derivative of -13 - 2*s - 3/2*s**2 - 1/6*s**4 - 1/2*s**3 - 1/10*s**5. What is -8*o(b) + 3*y(b)? -5*b**3 - 2*b**2 Suppose 6*f + 9 = 3*f. Let m(k) = -13*k. Let n(b) = 6*b. Let d(u) = u**2 + 481*u - 5921. Let c be d(12). Give c*n(s) + f*m(s). 9*s Let p(a) = a**2 - 4*a - 1. Let q(k) = k**3 - 153*k**2 - 37*k - 10. Give 18*p(l) - 2*q(l). -2*l**3 + 324*l**2 + 2*l + 2 Let c(m) = 4*m - 3. Let z(v) = 20*v - 16. Suppose 56 = -32*t + 120. Give t*z(b) - 11*c(b). -4*b + 1 Let
{ "pile_set_name": "DM Mathematics" }
hest common divisor of k and z. 6 Suppose 31 = -r + h - 33, 4*r - 3*h = -258. Let k be (1/3)/((-2)/r). What is the greatest common divisor of 22 and k? 11 Let p be 40/(-12)*48/(-5). Let k be 476/6 + 12/18. What is the greatest common factor of p and k? 16 Let s be (-41 + -1)/(3 - 5). What is the greatest common factor of 3 and s? 3 Let w = 90 + -63. Suppose 45 = 4*o + o. Let c be o/1*(-5)/(-5). What is the highest common factor of c and w? 9 Suppose 3*w = h - 14 - 5, -3*h = 4*w - 18. What is the greatest common factor of 30 and h? 10 Let t be (-1)/((-6)/3 + 1). Suppose 4*m = 4*g + 128, -5*m + 3*g + t + 151 = 0. Let x be (-2)/5 - 212/(-5). What is the greatest common divisor of m and x? 14 Let u be (-8)/((-9)/(-12) - 1). Suppose -32 = -x + 3*x. Let n = x + u. Calculate the highest common divisor of n and 176. 16 Let z be (4/(-5))/(2/35). Let t = z - -24. Suppose 2*q - 2 = 0, g - 47 = q + 2*q. What is the greatest common factor of g and t? 10 Suppose 3*t - 778 = 275. What is the greatest common factor of 39 and t? 39 Suppose -2*r - 1446 = -5*r. Suppose -2*d - y = -0*d - r, d - 244 = y. Let b = 42 - 20. What is the highest common divisor of b and d? 22 Suppose -3*v = -4*v. Let j(c) be the first derivative of -c**3/3 + 165*c + 1. Let u be j(v). What is the highest common divisor of u and 15? 15 Let b(l) = 13*l + 2. Let c be b(4). Suppose -y + 4*y = c. Suppose -5*x + 0 = -10. Calculate the highest common divisor of y and x. 2 Let v be -20*(-2)/(8/3). Let g(j) = 3*j**3 + 4*j**2 - 2. Let x be g(-3). Let m = -32 - x. Calculate the highest common factor of v and m. 15 Let x(r) = -9*r**3. Let f(o) = -o**3 + 11*o**2 - o + 10. Let k be f(11). Let w be x(k). What is the highest common divisor of 36 and w? 9 Let q be 0/(-2 + (-1 - 0)). Suppose q = 5*o - 148 + 28. Suppose 3*n + 3*i - 30 = 0, 0 = -4*n + 4*i - 30 + 86. Calculate the highest common factor of o and n. 12 Suppose l - 7*z = -3*z - 21, 24 = -4*l + 4*z. Let a be (l - 24/(-9))*3. Suppose g = a*g - 616. Calculate the greatest common divisor of 14 and g. 14 Let p be 2/(-5) - (-1755)/75. Let t be ((-92)/(-5))/((-1)/(-10)). Calculate the greatest common divisor of t and p. 23 Suppose r - 22 = -4*u, 6 - 1 = 3*u - 5*r. What is the highest common divisor of u and 100? 5 Suppose 0 = 4*r - 4 - 4. Let n be (1 + (-4)/r)*0. Let g be n/((-2)/(-2)) - -8. What is the highest common divisor of g and 40? 8 Let b = -35 - -76. Let r = b + -14. Suppose 5*q - 4*y - 11 = 0, -4*y + 5 = 1. What is the highest common divisor of q and r? 3 Suppose f - 2*f + 4 = 0. Suppose f*d = 97 + 63. Calculate the highest common divisor of d and 10. 10 Suppose -7*v + v = -132. What is the highest common divisor of 55 and v? 11 Suppose 0 = -71*j + 68*j + 462. Suppose -5*v + 19 = 4. Let s(z) = 6*z - 4. Let i be s(v). What is the highest common divisor of i and j? 14 Suppose -3*z + 37 = m, -3*m + 89 = -5*z + 3*z. What is the greatest common divisor of 124 and m? 31 Let b = 40 + -13. What is the greatest common divisor of 18 and b? 9 Suppose -4*z = -2*z - 72. Calculate the greatest common divisor of 4 and z. 4 Suppose 2*p - 78 = -4*p. Calculate the highest common factor of 91 and p. 13 Let w be 10 + 0 + 2 + -2. Suppose -4*f + 6 = 4*m - w, 0 = 2*f - 3*m - 8. Suppose -5 = -f*s + 43. What is the greatest common factor of 84 and s? 12 Let n = -19 + 89. Let s = -46 - -26. Let g = -10 - s. What is the greatest common divisor of g and n? 10 Let r be 4/(-14) - 121/(-7). Let a(f) = 2*f**2 + 9*f + 16. Let q be a(-7). What is the highest common factor of q and r? 17 Suppose 8 + 160 = 8*d. Calculate the highest common divisor of d and 42. 21 Let w(m) = 3*m**2 - 13*m - 7. Let y be w(-7). What is the highest common divisor of y and 21? 21 Suppose 40 = -0*i + 4*i. Suppose -l + 17 = x, 26 + 17 = 3*x - l. What is the greatest common factor of i and x? 5 Let p be ((-24)/14)/(1 - 18/14). What is the highest common factor of p and 66? 6 Suppose 0 = -4*m + o + 207, 0 = 4*m + 4*o - 0*o - 192. Calculate the greatest common divisor of 34 and m. 17 Let l(n) = n**2 + n - 9. Let s be l(-5). What is the highest common factor of 99 and s? 11 Suppose -4*a = -s + a + 32, -2*s + 32 = -2*a. What is the highest common factor of s and 108? 12 Let o be (-1)/((-2)/(3 + 3)). Calculate the greatest common divisor of 27 and o. 3 Suppose 9*l - 578 - 412 = 0. Calculate the greatest common divisor of 165 and l. 55 Let v = -111 + 188. Let r(w) be the second derivative of -w**4/12 + 2*w**3 - 13*w**2/2 - 2*w. Let n be r(10). What is the greatest common factor of v and n? 7 Suppose -3*k = o - 6*o - 70, 86 = 3*k - o. Let q be -1 + (-3)/3 + 8. Calculate the greatest common factor of k and q. 6 Let x be 21/4 + 2/(-8). Suppose 3*t = x*h + 12, -5*h + 0*h + 6 = -t. Let l(p) = -2*p - 5. Let u be l(-4). Calculate the highest common divisor of t and u. 3 Let a be -4 - 9/((-27)/186). Calculate the highest common divisor of 87 and a. 29 Let a(o) = 2*o**2 + 5*o + 2. Let k be a(-6). Suppose 52 = 4*n + 2*j, -5*n + 5*j + 13 = -2*n. What is the highest common factor of k and n? 11 Let h be ((-4)/(-3))/((-8)/(-12)). Suppose -a = -h*a - 1. Let q(t) = -77*t**3 - t - 1. Let z be q(a). Calculate the highest common divisor of z and 11. 11 Let c be -1 - (-1)/((-2)/(-22)). Let k(n) = 6*n**2 - n - 6. Let o be k(-2). Calculate the highest common divisor of c and o. 10 Let t be (8/24)/((-1)/(-15)). Suppose -t*l = 5*n - 20, -2*l + n = -0*l - 23. What is the highest common factor of 9 and l? 9 Let g(l) = -l**3 - 7*l**2 + 4*l + 7. Let b be g(-8). Suppose -q = -4*q - b. Let z = q + 20. What is the highest common factor of z and 77? 7 Suppose 3*a = 5*u + 264, 2*u = 3*a - 4*a + 88. Let z be 0 + 0 - (-316)/2. Let p be z/14 + (-4)/14. Calculate the highest common divisor of a and p. 11 Let z = 25 + -18. Let p be (1 - 0)/(13/65). Suppose p*m - 157 = 53. What is the greatest common factor of m and z? 7 Let x(n) = -n**3 - 7*n**2 + 7*n - 6. Let h be x(-8). Suppose -2*t = -5*c + 68, h*c + 2*c + 4*t - 32 = 0. Calculate the greatest common divisor of c and 6. 6 Suppose -3*b = -23 - 58. What is the greatest common factor of 9 and b? 9 Let h(c) = c**2 + 2*c + 4. Let f be h(3). Suppose -j = -70 + f. Suppose 0 = -g + j + 75. What is the highest common factor of g and 14? 14 Let u = 83 + 12. Calculate the highest common factor of 38 and u. 19 Suppose -t = 3*w - 14, -2*t - 23 = -5*w + 4. Suppose 4*n - 2*k - 506 = -0*k, -2*n + 257 = -w*k. Calculate the greatest common factor of n and 14. 14 Suppose -3 = -2*r - 2*f + 1, -3*r = 5*f - 2. What is the highest common divisor of 5 and r? 1 Suppose 16*b - 324 = 13*b. What is the greatest common divisor of 24 and b? 12 Let f be -1 - -2 - (-1 - 13). Let v = -76 - -151. Calculate the highest common factor of v and f. 15 Let a(v) = 19*v - 18. Let x be a(15). Let j = x - 171. Calculate the greatest common divisor of j and 24. 24 Suppose 6 = j - 4. What is the greatest common divisor of 15 and j? 5 Let z(h) = 13*h**2 - 1. Let y be z(1). Calculate the highest common divisor of y and 9. 3 Suppose -4*v = -4 - 4. Suppose b = 2 - 0. Suppose -v*i + 4 = b*i. What is the highest common divisor of 7 and i? 1 Suppose -75 = 3*t - 6*t. Suppose j - 7 = x, 2*j = -5*x + 4 - t. Let l = 8 - 6. Calculate the highest common divisor of j and l. 2 Let v(h) = 4*h - 1. Let t be v(1). Let g = -11 + 3. Let j(d) = -d**2 - 8*d + 6. Let z be j(g). What is the highest common divisor of t and z? 3 Let h = 1938 - 1308. Suppose 5*v = -80 + h. Calculate the highest common divisor of 44 and v. 22 Suppose g = -1 + 6. Suppose -g*f + 2*p = -3*p - 30, f - 10 = 5*p. Suppose 0 = -f*s + 38 + 7. Calculate the greatest common divisor of 72 and s. 9 Let j = 4 - 3. Let x = 6 - 3. Let p be x + j + 1 - -1. Calculate the greatest common factor of 42 and p. 6 Suppose -j + 80 = j. Suppose w + 3*w - 40 = 0. What is the greatest common divisor of j and w? 10 Suppose -24 = -c - 3. Let l = c + 12. Let s = l + -23. What is the highest common divisor of 40 and s? 10 Let a = -21 + 36. What is the greatest common factor of 30 and a? 15 Let z(h) = -h**3 + 14*h**2 + 14*h + 27. Let d be z(15). Calculate the greatest common divisor of d and 204. 12 Suppose 3*l = 2*l + 4, 2*l + 40 = x. Let d = x + -27. Let g be 439/7 - 2/(-7). Calculate the greatest common d
{ "pile_set_name": "DM Mathematics" }
c = 4*x + y*c - 71, -4*c - 61 = -3*x. Suppose 5 + x = 3*p. Does 4 divide p? True Suppose 0 = 4*d - 2*n - 470, -4*d = -n + 3*n - 490. Let m be (-2)/(((-6)/(-4))/(-3)). Suppose -m*i + i = -d. Is i a multiple of 20? True Let v(s) = -s**3 - 2*s**2. Let x be v(-3). Let a be 8/(-4)*x*-10. Suppose -5*m + a = -0*m. Does 18 divide m? True Let t(c) = 2 + 2*c - 2 - 3*c + c**2. Let m be t(0). Suppose m = -5*k + 5*a + 170, -6*k + k = -2*a - 167. Does 19 divide k? False Let n be (1*22)/(2 + -1). Let y = n + -7. Is y a multiple of 15? True Let f(a) = 4*a**3 - a**2 - 2. Suppose 5*u + 0*u = 10. Let w(z) = z**2 - z. Let t be w(u). Is f(t) a multiple of 8? False Suppose -8*y - 983 = -2927. Is 34 a factor of y? False Suppose 15 = -3*v - 3*z, -z - 1 - 6 = 3*v. Let w = 7 + v. Does 2 divide w? True Does 11 divide (6/(-15))/(3/(-765))? False Suppose -2*d + 48 = 5*u, -u - 4*d + 0*d = -24. Suppose -2*k = y - u, -4*y + 9 = -3*k - 1. Is k a multiple of 2? True Does 3 divide 45 + (-11 - -4) + 3? False Let r be (-1)/(-2 - 7/(-4)). Suppose r*i + 30 = i. Is 4/i - (-201)/15 a multiple of 13? True Let o(r) = -7*r. Let b be o(-2). Let u = b - 24. Is 13 a factor of 13/(-2)*u/5? True Let p be (-2 - 0)*30/(-12). Suppose -y = -4*r - 3*y + 6, -3*y = p*r - 7. Suppose 18 = r*n + n. Is n a multiple of 3? True Suppose -4*k + 7*k - 237 = -3*n, -4*k + 356 = -4*n. Let s = -43 + k. Does 16 divide s? False Suppose 21 = 5*q - 454. Does 22 divide q? False Is (-17844)/(-132) + (-6)/33 a multiple of 27? True Suppose -4*f = -3 - 21. Let i = 12 - f. Let x(t) = t**2 - 3*t - 7. Is 11 a factor of x(i)? True Let j = -50 - -81. Does 6 divide j? False Let m be 2 + (1 + 0 - -11). Let t = m - 9. Let s = t - 3. Is 2 a factor of s? True Let h = 107 - 78. Does 5 divide h? False Let w(l) = 6*l + 4. Let j be w(-5). Let n = 16 + j. Let p(q) = -2*q - 14. Is 3 a factor of p(n)? True Let t = 935 - 659. Is 31 a factor of t? False Let o = 2 - 0. Suppose 0 = q + o*q. Suppose h + h - 3*f - 7 = q, h + 3*f = 8. Is 3 a factor of h? False Suppose u = -4*a + 46, -47 = -4*a - 2*u - 3. Suppose -3*d + 6*d = -21. Let t = a + d. Is t even? False Let s be (13 + -1)*17/2. Suppose 0 = -3*w - 2*q + s, -w - w + 5*q + 49 = 0. Is 16 a factor of w? True Let w be 140/77 + (-2)/(-11). Suppose w*z - 52 = -2*z. Is 13 a factor of z? True Suppose -13*o + 11*o + 30 = 0. Does 8 divide o? False Let m be -2*1/2*-1. Suppose 2*u - 32 = -2*i, -2*i = -3*u - 43 + m. Suppose 2*z - 12 = i. Does 11 divide z? False Suppose -9*o = -826 - 434. Does 14 divide o? True Suppose 0 = 4*k - 0*k - 3*t - 23, 2*t = 3*k - 17. Let a(v) be the second derivative of v**3/2 - v**2 - 5*v. Is 13 a factor of a(k)? True Let m(y) = -5*y - 1. Let p be m(-2). Suppose 340 = 4*a - 2*b, -1 = 4*b - p. Let l = a - 61. Does 11 divide l? False Let o(i) = -i + 34. Is 9 a factor of o(-20)? True Suppose 3*m - 2*s - 9 = 41, -12 = 3*s. Suppose f - m = 2*f. Is 1/(-3) + f/(-6) even? True Let q(w) = -28*w - 8. Does 40 divide q(-6)? True Let i = -22 - -30. Is i a multiple of 4? True Let g(i) = i**2 - 2*i - 12. Let t be ((-5)/(-4))/((-4)/(-16)). Is g(t) a multiple of 2? False Let c(h) = -7*h + 5. Is 16 a factor of c(-5)? False Let r be 3 - ((-8)/(-4) - -56). Is (-56)/(-10) - 22/r a multiple of 4? False Let x be 0/((-3)/(-1))*1. Suppose x = 2*r - 9 - 5. Is 5 a factor of r? False Let l be 1/5 + 52/(-10). Let z(f) = 2*f**2 + 5*f - 1. Let v be z(l). Suppose 0 = -3*y + 4*j - 9*j + 20, -2*j - v = -2*y. Is 5 a factor of y? True Let p(y) = -2*y**3 - 2*y**2 - 2*y + 2. Let q be (3/2)/((-3)/4). Does 3 divide p(q)? False Does 26 divide 4/1 + 123 - -3? True Let r(k) = k**3 + 6*k**2 - 7*k + 9. Let n(s) = s**3 - 5*s**2 - 7*s - 1. Let v be n(6). Let f be r(v). Let l = f + -3. Is 5 a factor of l? False Let l(i) = -14*i**3 + 7*i**2 + 2*i - 1. Is l(-2) a multiple of 45? True Let k be (-15)/20 + (-3)/(-4). Suppose 4*x - 32 - 88 = k. Is 10 a factor of x? True Is 6 a factor of (0 + 1)/((-18)/(-270))? False Let b(r) = -r**2 + 15*r + 13. Does 21 divide b(10)? True Let o(j) = -17*j + 42. Does 28 divide o(-14)? True Let i = 5 + 6. Does 11 divide i? True Let s = -3 - -8. Let g = -37 - -71. Suppose 2*v - g = -v - f, s*v - 54 = f. Does 5 divide v? False Suppose -109 = -15*v + 971. Is 18 a factor of v? True Let j = -4 - 3. Let t(z) = z**2 - 9*z - 24. Let p be t(11). Let v = p - j. Is v a multiple of 2? False Suppose w = 3*t - 33, -9 = -5*w + 6. Is t a multiple of 12? True Let v(f) = -21*f + 10. Does 24 divide v(-3)? False Suppose 3*z - 5*a - 113 = -0*a, 2*z - a = 73. Suppose 31 = 4*j + 4*k - 3*k, -4*k = -4*j + z. Is j a multiple of 4? True Let a be 4*((-38)/4 + 3). Let q = -69 + 21. Let c = a - q. Is 11 a factor of c? True Suppose 94 + 5 = 3*q - 3*m, 4*m = -q + 8. Does 6 divide q? False Is (0 - 2)*(-22 + 11) a multiple of 15? False Let c(o) = 2*o**2 + o + 1. Let g(j) = -j**2 - j + 1. Let z be g(-2). Is c(z) even? True Let k be (-8)/6*9/6. Let c be 0*(-3)/(4 - k). Suppose c = 5*a - 37 - 23. Does 12 divide a? True Let b(d) = 31*d - 1. Let p be b(-6). Let q = p - -353. Let j = q - 109. Is j a multiple of 22? False Suppose -y - 121 = -2*m, m + 2*y + y = 50. Is 6 a factor of m? False Suppose 0 = -5*m - 2*g + 7 + 24, g = -m + 8. Suppose c = -4*u + 20, 0 = -m*c + u - 0*u + 121. Is c a multiple of 7? False Suppose 2*a = 4*a + 6. Let w be 15/10*(-2)/a. Is 10 a factor of 34 + -3*(-2 + w)? False Let n be 49/4 + 5/(-20). Let y = 14 + n. Is 9 a factor of y? False Let r(w) = 3*w**2 - 12*w - 25. Is 16 a factor of r(-5)? False Let v = 127 + -51. Suppose -k + 5*t = -32, -5*k - t + v = 2*t. Suppose 0 = -4*h + k + 23. Is 10 a factor of h? True Suppose -6*w + 3*s - 150 = -2*w, 4*s - 70 = 2*w. Let f = w - -81. Is 14 a factor of f? True Let d = 0 - -8. Let h(j) = j - 2. Let s be h(d). Suppose 2*k - s*k + 3*x = -119, -5*k + 4*x = -148. Does 16 divide k? True Does 22 divide 466/(1/(1/2))? False Let b(h) = 4*h**3 - 2*h**2 + 2. Is b(2) a multiple of 26? True Suppose 4*s + 104 = o, 0 = -2*o + s - 41 + 228. Does 23 divide o? True Let t(f) = 28*f**2. Suppose 0 = 2*w - 1 - 1. Is 7 a factor of t(w)? True Let k = 146 + -306. Is (3/2)/((-12)/k) a multiple of 13? False Let r(v) = -2*v - 3. Let j be r(-4). Suppose t = 4 + j. Does 3 divide t? True Let h(x) = -6*x + 2 + 0*x - x + 0. Let s be h(2). Does 21 divide (-3)/12 + (-507)/s? True Let t(j) be the first derivative of j**4/4 - 5*j**3/3 + 3*j**2 - 4*j - 1. Let a be t(4). Suppose 3*l - 55 = a*z, 3*l - z - 48 + 5 = 0. Is 13 a factor of l? True Let x(z) be the third derivative of -13*z**4/12 - z**3/6 - z**2. Suppose 4*d + 17 - 13 = 0. Is 20 a factor of x(d)? False Suppose 99 = -l - 4*z + 9, 4*l = 4*z - 320. Let h = l + 130. Is 16 a factor of h? True Suppose 4 = j - 1. Is 5/(-25) - (-151)/j a multiple of 6? True Let a = -3 - -8. Is a a multiple of 4? False Let x = -55 - -112. Suppose -h + x = 5*k - 50, -5*k - 385 = -5*h. Is h a multiple of 29? False Let g(d) = -21*d**2 - d - 3. Let z be g(-3). Let s be z/(-15) + (-2)/(-5). Suppose s = 2*h + 3. Is h a multiple of 3? False Let g = -34 + 116. Is 7 a factor of g? False Suppose 2*m + 9*y - 21 = 4*y, -4*y = -20. Let o be 1/2*m - -12. Suppose -2*s + 39 - o = 0. Does 7 divide s? True Let r(p) be the second derivative of -p**5/20 + 5*p**4/12 + p**3/6 + p**2 + p. Does 7 divide r(5)? True Let s be 10/(-2)*(-2)/2. Suppose -2*a = -s*a + 18. Is a a multiple of 2? True Let x = -49 + 145. Does 8 divide x? True Suppose -5 = 5*n + q + 17, 5*n = 4*q - 37. Let s(u) = -u - 3 + u**3 + 4 + 5*u**2 - 4. Does 2 divide s(n)? True Suppose -5*k = 5, -1054 = -5*b - 2*k - 21. Is b a multiple of 15? False Does 29 divide (-60 + 2)/((-4)/10)? True Suppose 4*k + 3*i - i = 324, 0 = 5*k - i - 419. Is 36 a factor of k? False Let d(z) = z**3 - 3*z**2 - 6*z + 12. Let l be d(6). Suppose -2*g = -3*r - 15 - 42, -5*r = -3*g + l. Is 7 a factor of g? False Let v(j) = 57*j**2 + j. Does 12 divide v(1)? False Suppose -p - 15 = -6*p. Suppose -5*j = -p*c - j + 80, -3*j - 30 = -c. Does 24 divide c? True Suppose 14*t - 9*t - 495 = 0. Does 6 divide t? False Let u(x) = x**2 + 3*x. Let t be 6/(0 - 3/(-2)). Suppose 0*q = 2*q, t*g + q = -24. Is 9 a factor of u(g)? True Let p(t) = t + 1. Let f be p(3). Let s be 17/f*16/4. Suppose 3*a - s - 19 = 0. Is a a multiple of 6? True Suppose -3*x - 2*x = -15. Suppose x*q = 2
{ "pile_set_name": "DM Mathematics" }
2*t - t - o = -p for t. 0 Let s = 94 + -94. Solve -5*i + 17 = c, s*i + 5 = i + c for i. 3 Let h be (22 + -25)/((-6)/4). Solve h*s + s - 2*a = 12, -s + 2*a = -4 for s. 4 Let m be ((-3)/(-2))/(3/4). Let v be (-1)/2 + 11/m. Solve -5*x + 3 = -4*c - 20, 7 = 4*c + v*x for c. -2 Suppose -5*d + 10 - 3 = 4*h, -5*h = 5*d - 5. Suppose -y = -2*y + d. Solve 16 = y*c - 2*s + 7*s, 4*c - 5*s + 2 = 0 for c. 2 Let m be (-2)/(-10) + 84/30. Solve -m*h = -j - 5, -3*h + 6*h - 4*j = 11 for h. 1 Let h be (-5)/((-25)/10) - 0. Solve 9 = 4*z - 3*o, h*z = 2*o + 6 - 0 for z. 0 Let w(a) = -3*a + 1. Let q be w(-1). Suppose 4*z + d + q = 0, -z - 12 = -3*z + 3*d. Suppose -5*n = -z*n. Solve p - 5 = n, 3*r - 3*p = 5*r - 13 for r. -1 Let x = 1 - -1. Suppose 18 = 4*h - x. Suppose -3*v - v + 24 = 0. Solve 2*w + v = 0, 9 - 28 = -h*z - 2*w for z. 5 Let y = 8 + -6. Suppose 0 = 4*o - 4 - 0, 0 = y*f + 5*o - 15. Solve -2*h - 3*s = -2, f*h - 2*s + 6*s + 2 = 0 for h. -2 Let f = 75 + -73. Solve 5*x = -4*n - 41, 2*x + f*n - 3*n + 6 = 0 for x. -5 Let x(u) = u**3 - 2*u**2 + 2*u + 1. Let p be x(2). Solve -5*n - 12 = -2*v, n - 3 = p*v + 5*n for v. 1 Let l = -2 - -8. Let t = -4 + l. Suppose -3*d - 12 = -z, 3*d - t*d + 18 = 5*z. Solve -z - 9 = h + 5*f, -2 = -4*h + 5*f for h. -2 Let m(p) = -p**3 + 4*p**2 - 4*p + 3. Let y be m(3). Suppose -5*z - g + 29 = y, -5*z + 16 = 3*g - 21. Solve 3*h - 4 = -0*l - l, -z*l + 20 = 4*h for h. 0 Let n(b) = b**3 - 3*b**2 + 3*b - 2. Let o be n(2). Suppose o = 6*y - 2*y - 12. Solve a + 2*q = y*q - 1, -q = -4*a - 10 for a. -3 Let l(s) = -s - 16. Let i be l(-17). Solve 0 = -2*j + 5*y - 8, -6*j = -j - 2*y - i for j. 1 Let s(o) = -o**3 + 7*o**2 + 21*o - 27. Let z be s(9). Solve 5*r + 20 = 0, -3*t + 6*t - 3*r = z for t. -4 Let a be ((-8)/(-12))/(1/3). Suppose -5*i = -4*k - 10, -a*k = 5*i - i - 8. Solve 3*c = 2*p - c - 12, k = 4*p + c - 6 for p. 2 Suppose -4*o - 12 = -52. Let u = 0 - 0. Solve -i - v + 5 = 2, -3*i - 4*v + o = u for i. 2 Let f(p) = -p. Let x be f(-5). Suppose 10*h - x*h = 200. Let w be h/16 + 1/2. Solve -8 = -5*v - 5*t - w, -2*t = 6 for v. 4 Let k(m) = 4*m**3 + 1. Let h be 5/25 - 12/(-15). Let x be k(h). Solve x*i - 16 = -3*n - 0*i, 4*i - 29 = 3*n for n. -3 Suppose 5*v + 0 - 15 = 0. Solve -4*d = -2*t - 10, v*t + 4 = -2*d - 3 for t. -3 Let b be -2 - -2*(-15)/(-2). Let z = b - -2. Solve z = -j - 4*r, -r + 1 = -j + 6 for j. 1 Let f be (-7)/(-2) - 22/44. Solve -18 = -4*z - 2*q, 3*z + f = -q + 15 for z. 3 Let c = 22 + -22. Solve c = -u + 4, 2*g - 2 - 10 = -u for g. 4 Let n(g) = -g**2 - 2*g - 3. Let z be n(-3). Let c = 6 - z. Solve -3*h + 3*w - c = -3, -3*h + 2*w = 5 for h. 1 Let j(d) be the second derivative of d**3/6 - 3*d**2/2 + 3*d. Let l be j(2). Let p be (l/(-1) - 1) + 2. Solve 3*b + i = p, 0*i - 3 = -2*b - i for b. -1 Suppose 5 - 1 = t. Solve h = t*k - 0*k + 13, -k + 5*h = 8 for k. -3 Let s be 48/28 + (-12)/(-42). Solve 10 = 2*z + s*q, 10 = 5*z + 2*q - 12 for z. 4 Let q be 5/(-4)*(-8)/2. Suppose -q*b + 2*t = 29 - 104, 5*b = -t + 60. Solve -2*f + 10 = -0*f, 3*a - 5*f = -b for a. 4 Let g(m) = -m**2 - 6*m - 3. Let i be -3 - (-1)/((-2)/2). Let d be g(i). Let x be 8/(-4)*4/(-2). Solve -5*v = -3*o + d, x*o - 28 = -4*v - 0 for v. 2 Let z be (10/(-210)*-24)/((-2)/(-7)). Solve 0*j - 2*j = -4*u + 4, -z*j - 5*u = -5 for j. 0 Let l be (24/30)/(2/(-5)). Let c = l + 4. Solve -p - 2 = -2*p + c*g, 5 = -5*g for p. 0 Let b = 24 - 21. Solve -4*u + 7 = -0*u + 3*x, b*x + 29 = 5*u for u. 4 Let x be 24/60 - (-24)/5*2. Solve 3*v + x = -4*q, -6*q = -v - q + 3 for v. -2 Let k = -14 - -26. Suppose -5*b = -2*b - k. Solve p - 2*p = -5, 0 = b*y - 3*p + 7 for y. 2 Let g = 8 + -8. Suppose -4*b + h - 125 = b, b + 2*h + 25 = g. Let l be (-10)/b - 36/(-10). Solve 0*q + 2*q + 2*n - 6 = 0, 2*q = l*n - 18 for q. -1 Let k be (4 - 0)/4 + 2. Solve -k*d + 17 = -5*c + d, 0 = -2*c - 5*d - 20 for c. -5 Let o(d) = d**2 + 6*d - 2. Let k be o(-7). Solve -16 = 3*p - 4, 0 = -z + 2*p + k for z. -3 Let c = -17 - -10. Let x(w) = 5*w. Let h be x(2). Let u = h + c. Solve l = 4*m, -m = -2*l + u*m for l. 0 Let m = -13 - -8. Suppose -5*f + 50 = 3*h - 4*h, 2*f + 5*h = -7. Let c = m + f. Solve -z - 2*z + 4*o + c = 0, -4*z + 6 = -5*o for z. 4 Let i be 3/3 + (-6)/(-2). Suppose -1 = i*f - 9. Solve -g = k - 5, -3 = -2*k + f*g - 5 for k. 2 Suppose -9 = -0*t - 3*t. Solve -t*c = -5*c - 3*r - 11, 0 = -c - r - 3 for c. 2 Suppose -2*t - 80 = -4*p + t, -2*p = -4*t - 50. Solve -4*y + 4*q + 8 = 0, y = -2*q - 2*q + p for y. 5 Let t be -3 + (-3)/3 + 8. Solve -3*r + z = -0*z - 14, z + t = r for r. 5 Let j be (-3 - 0) + 12 + -6. Solve j*b + 17 = 4*y, -2*b - 8 = -3*y + 5 for y. 5 Let l = -8 + 2. Let s = -8 + l. Let d = s + 20. Solve 2*x - 23 + d = 5*k, -3*x - k = 0 for x. 1 Let m(d) = 14*d**2 - 25*d + 25*d. Let c be m(1). Suppose 5*j = 11 + c. Solve -3*a + 4 = k, k = 5*k + j*a + 5 for k. -5 Suppose -5*g + 15 = -10. Let k(y) = -y**3 - 3*y**2 + 2. Let m be k(-3). Solve 0*c + g*c = -m*z + 3, 0 = 2*z - 4*c + 6 for z. -1 Let r be 5 + 0/((-12)/(-4)). Suppose z = 2*z + 4*f - 4, r = -2*z + 5*f. Solve -s - 2*m - 6 = 3*s, z = -s - m - 3 for s. 0 Suppose 0 = 7*k - 2*k - 20. Solve -2*y - 2*j = 2*j - 12, -k*y = -3*j - 2 for y. 2 Let p(v) = v**2 + 16*v + 18. Let s be p(-15). Solve -4*c + s*l = -c, 4*c + 36 = -5*l for c. -4 Suppose -3*l - 4*a + 3 = 0, -4 - 3 = l + 4*a. Let w be ((-7)/(-2))/(6/12). Solve g + 29 = -l*v, 2 + w = -g - v for g. -4 Let m(y) = y**2 - 18*y - 40. Let w be m(20). Solve w = 4*v - 12, -4*v + 0*v + 6 = -3*a for a. 2 Let s(j) = -j**3 - 8*j**2 - 6*j + 10. Let k be s(-7). Let v = -1 + k. Solve -2*g + g + 1 = 0, 0 = -v*c + g - 3 for c. -1 Let p(q) = -q + 2. Let v be p(2). Suppose -162*u + 163*u - 21 = 0. Solve -f + 4*s + u = -v*s, 22 = 2*f - 3*s for f. 5 Let g = 2 - 0. Solve u - 3 = g*z, 4*u + u = 4*z - 9 for z. -4 Let s(h) = h**3 - 9*h**2 + h + 4. Let u be s(9). Suppose 4*a = -5 + u. Suppose 0 = 2*d + a*d - 40. Solve 2*c - 2*t - 2 = -3*t, -5*t = -d for c. 0 Let p be (-2)/(-1) + 1 + 1. Suppose p*m - 90 = 2*m. Solve 4 - m = -4*b + 5*a, -b = 5*a + 21 for b. 4 Let j = -64 - -66. Solve 2*w + 2 = -2*x - 2*w, -j*x - 4 = 5*w for x. 3 Suppose d = -2*d + 6. Let c = d - 0. Solve -5*o + 4*l - c = 0, l - 2 = 1 for o. 2 Let d(b) = b**3 + 6*b**2 + 6*b + 7. Let s be d(-5). Solve -r + 9 = -s*m, 4*m = -r + m - 11 for r. 1 Let g(o) = -o**2 + 11*o - 6. Let l be g(8). Let z be 15/3 + 0 + 0. Let p be (-2)/7 + 23/7. Solve -2*a + p*x = z*x + l, -40 = 4*a + 5*x for a. -5 Let i = 9 - 6. Solve -6*c = -2*c, 5*c + i = 3*p for p. 1 Suppose -5*y = 29 - 9. Let h(c) = 2*c**2 - 3*c. Let r(k) = k**2 - 3*k - 1. Let x(a) = 4*h(a) - 6*r(a). Let n be x(y). Solve -3*q = 0, 4*o - 5*q - n = 6 for o. 5 Let f = 29 + -12. Let u(m) = m**3 + 5*m**2 - 8*m - 1. Let w be u(-6). Suppose -4*z + f = a + 4*a, 4*z = a + w. Solve -q - z*o - 18 = -0*q, 4*q - 13 = 5*o for q. -3 Let w = -24 - -14. Let x(k) = -2*k - 15. Let a be x(w). Solve -a*b = -5*l - 20, 0 = -3*l + 3*b - b - 7 for l. 1 Let x(k) = k + 9. Let v be x(-5). Solve a = -5*j - 1 + 5, 0 = 5*j - v*a + 16 for j. 0 Let m be (-4)/(-6) + 26/6. Suppose 0 = -m*v + 18 - 3. Solve -2*w + 2 = -5*g, -w = -v*g + 4*g - 1 for g. 0 Let l(x) = x**3 - 4*x**2 + 5*x - 4. Let o be l(3). Suppose h - 2 = -3*p - 2*p, 4*p + 2 = -o*h. Solve 4*g = -3*s + 4, 3*g - p = 3*s + 2 for g. 1 Suppose 1 = -3*n + 10. Solve 0 = -k - 0*k + n*t - 9, 5*k = 2*t - 6 for k. 0 Let k(a) = a**3 - 7*a**2 + 6*a + 2. Suppose 2*m - 3*o = 3*m + 3, 12 = m - 2*o. Let p be k(m). Solve n = -p*n + w + 20, -5*n + 45 = -4*w for n. 5 Let h(t) = t**2 + t + 9. Let u be h(0). Suppose 2*z + u = -3*j, 4*z + 13 = -5*j - 0*j. Suppose z*c - 7 - 2 = 0. Solve -c*x = y + 4 + 4, 3*x - y = 2 for x. -1 Let p = 29 + -119. Let n be 6/(-21) + p/(-21). Solve d = -2*a + n, -2*a + 3*d + 0*d + 12 = 0 for a. 3 Let g = -22 + 67. Suppose 0 = t + 3*k + 10, 3*t - 4*k - g = -2*t. Suppose 2*v - t*s = v - 7, s - 2 = 0. Solve -4*c + 8 = v*y, -4*y = -c - 0*y - 17 for c. -1 Suppose -2*z - 2*g = 0, -3*g - 8 = -g. Solve 5*w - 2 = 3*f - 1, 5*w - 3 = z*f for w. -1 Suppose 5*t - 2 = -p + 3*t, 2*p + 3*t - 4 = 0. Suppose 4*l - 5*f - 15 = 0, p*l + f = -0*f + 11. Solve 3*a + 3*r - l*r = -22, -a = -2*r + 14 for a. -4 Let f = 5 - 2. Suppose 3 = 2*j - p - 4, -3*j - 4*p = -27. Solve -k = 3*z - f, -j*z + 7 + 12 = -3*k for z. 2 S
{ "pile_set_name": "DM Mathematics" }
s 304 + 300101333? 300102142 In base 11, what is 7aa93 + -5684? 7540a In base 6, what is -332 + 135514341? 135514005 In base 8, what is -3 - 336522424? -336522427 In base 7, what is 101 - 1513030? -1512626 In base 4, what is 12210 - 2110222? -2032012 In base 6, what is -4 - -1110423521? 1110423513 In base 16, what is -10cb88 + -1a? -10cba2 In base 13, what is -3c205 - 128? -3c330 In base 6, what is 23232355 - 0? 23232355 In base 11, what is 3 + -355971? -355969 In base 13, what is -992a2 + -98b? -99c60 In base 7, what is 5 - 310462603? -310462565 In base 3, what is -11 - -120222111012? 120222111001 In base 6, what is -11315005541 + 1? -11315005540 In base 15, what is -7eb1 + -7b? -803c In base 4, what is 11023001023121 - 0? 11023001023121 In base 10, what is -16829 + -1073? -17902 In base 4, what is -120 - 121231102311? -121231103031 In base 16, what is -430 + 7dc9? 7999 In base 7, what is -550 - -154252? 153402 In base 12, what is 134 - -1a3b01? 1a4035 In base 16, what is -aae0d - 1d? -aae2a In base 9, what is 2413 - -182? 2605 In base 14, what is -c0d063 + -3? -c0d066 In base 9, what is -2314 + 63252? 60837 In base 12, what is -36 - 1a1190? -1a1206 In base 11, what is -4049852 + a? -4049843 In base 2, what is -100 - 11011011111100110100000101? -11011011111100110100001001 In base 10, what is -15362 - -48265? 32903 In base 12, what is -109 + -2a9598? -2a96a5 In base 11, what is -92a3 + -1696? -a989 In base 2, what is -111110000110111001001010111 + 0? -111110000110111001001010111 In base 14, what is -a9774 - -49? -a9729 In base 9, what is 6205 - -52331? 58536 In base 11, what is 3 + -31550749? -31550746 In base 10, what is -980 - 83777? -84757 In base 16, what is -2 - 12d1cc6? -12d1cc8 In base 13, what is 423b559 + 14? 423b570 In base 7, what is 5 - -465243252? 465243260 In base 2, what is 100 + 1110100010110000101110? 1110100010110000110010 In base 10, what is -639248063 + 5? -639248058 In base 2, what is -111 - -10101100011110110100111? 10101100011110110100000 In base 6, what is -1 - 51220051? -51220052 In base 7, what is 51 + -15164441? -15164360 In base 6, what is 135322425 + -12? 135322413 In base 14, what is -2378496 - 2? -2378498 In base 9, what is 4522 + 415310? 420832 In base 2, what is 1000110001100101 - 10101100? 1000101110111001 In base 10, what is 4 + 181589274? 181589278 In base 11, what is -471 - a587? -aa48 In base 8, what is 13 - -7167245? 7167260 In base 4, what is -230 + -1000333330? -1001000220 In base 15, what is 2 + -2b9022? -2b9020 In base 8, what is 4 - -13045712? 13045716 In base 8, what is 15137 + 363534? 400673 In base 15, what is 85 + -257ede? -257e59 In base 4, what is 12113 - 110330100? -110311321 In base 16, what is -4c7eb7a + -1? -4c7eb7b In base 12, what is 1083 - -1b4687? 1b574a In base 15, what is -5a41 + -e8? -5b39 In base 9, what is -1263 + -2068181? -2070454 In base 7, what is 25 - 244012644? -244012616 In base 8, what is 140017 + 447? 140466 In base 2, what is 11001000010110011101000 - 1011? 11001000010110011011101 In base 3, what is 11 - 212211112221101? -212211112221020 In base 10, what is -3575 - -137226? 133651 In base 11, what is 29090 - 196? 289a5 In base 8, what is 3352360 + 4? 3352364 In base 12, what is -20973304 + -3? -20973307 In base 6, what is 140050110 - 3? 140050103 In base 15, what is -991 - 3ede? -4980 In base 9, what is -8 - -452478067? 452478058 In base 15, what is 27e447 + -b7? 27e380 In base 9, what is 5531812 - 37? 5531764 In base 13, what is -167713a + -20? -167715a In base 2, what is 10000101000101100110100 - -101? 10000101000101100111001 In base 12, what is -1633979 - -29? -1633950 In base 14, what is -58 - -6d0b38? 6d0ac0 In base 3, what is 121212 + -220101200? -212202211 In base 12, what is -13 + -b39863? -b39876 In base 8, what is 113 + 467000? 467113 In base 16, what is -5b - 734e5c? -734eb7 In base 8, what is -4104226612 + 5? -4104226605 In base 7, what is 10343544 - -251? 10344125 In base 6, what is 321 - 50225154? -50224433 In base 6, what is -11023045332 + -2? -11023045334 In base 5, what is 411 - -1323124020? 1323124431 In base 11, what is 16 + -2743a68? -2743a52 In base 13, what is 155692 + -27? 155668 In base 14, what is 4 - -611b81d? 611b823 In base 12, what is -40a1102 + -4? -40a1106 In base 3, what is 11 - -10020202200102? 10020202200120 In base 10, what is 5 - 129603? -129598 In base 10, what is -1 - 263445? -263446 In base 5, what is -131 + 422031131? 422031000 In base 6, what is -554 - -2552303? 2551305 In base 11, what is -43 - -310431? 310399 In base 14, what is 241a - 48? 23b2 In base 15, what is e - -420be3? 420c02 In base 14, what is -5 + -c443428? -c44342d In base 4, what is 1110032012 + 1010? 1110033022 In base 11, what is -5 + -45181a8? -4518202 In base 8, what is 60 + 126745? 127025 In base 12, what is -3a154259 - 1? -3a15425a In base 14, what is 9 + 126d9? 12704 In base 2, what is 10010001001111110001011 - -10? 10010001001111110001101 In base 2, what is 100101000010 - 1001000010010? -100011010000 In base 13, what is -4 + -68cc34? -68cc38 In base 6, what is 532 + -240340? -235404 In base 12, what is -140b + 25ab? 11a0 In base 16, what is 2d7c + -d5? 2ca7 In base 2, what is 1010101101011010111010110 - 0? 1010101101011010111010110 In base 12, what is -3076a8b69 - 1? -3076a8b6a In base 6, what is -11425430 + 1045? -11424341 In base 15, what is -b - 19246e3? -19246ee In base 2, what is -11110100001011000000 + 1011? -11110100001010110101 In base 12, what is -5277766 - 4? -527776a In base 12, what is -8ab + 3b46? 3257 In base 8, what is -3 - -5606215? 5606212 In base 7, what is 260212 - 31150? 226032 In base 5, what is 0 - 1413443311? -1413443311 In base 12, what is 27 - -335338? 335363 In base 9, what is 3801 - 84? 3706 In base 8, what is 0 + -2175251? -2175251 In base 14, what is 57a139 + 1d4? 57a32d In base 12, what is 1 + 270b1470? 270b1471 In base 8, what is -262576331 + -2? -262576333 In base 6, what is -5030 - -322320? 313250 In base 14, what is -1131dbb6 + 3? -1131dbb3 In base 8, what is -6555 - 77416? -106173 In base 13, what is 25946b57 + 0? 25946b57 In base 2, what is -111110110101001001101010 - -110? -111110110101001001100100 In base 3, what is -20 - 12201211121011? -12201211121101 In base 3, what is -1012221 + 122101000? 121011002 In base 7, what is 1311 + 1211442? 1213053 In base 12, what is 2886 + -14b? 2737 In base 11, what is -1a + -a0085? -a00a4 In base 8, what is -3117376 - -42? -3117334 In base 13, what is -147c6 + -18b9? -163b2 In base 15, what is -ba - 11ed2? -1209c In base 14, what is -5 + -957c93? -957c98 In base 12, what is 11ab30480 + 3? 11ab30483 In base 4, what is 11131321121123 - 20? 11131321121103 In base 16, what is 10efb02 + 3? 10efb05 In base 8, what is 2453171 + 25? 2453216 In base 3, what is 10102002001110002 + -10? 10102002001102222 In base 7, what is -2200102346 + 2? -2200102344 In base 6, what is -33445 - 31440? -105325 In base 16, what is -4 + 989bc? 989b8 In base 13, what is 46b2 + -1447? 3268 In base 10, what is -78084820 + -3? -78084823 In base 10, what is 4746090 - 4? 4746086 In base 15, what is 173d381 + -4? 173d37c In base 7, what is -2001110353 + 3? -2001110350 In base 10, what is 124075802 + 4? 124075806 In base 14, what is -1d24a + 57? -1d1d3 In base 8, what is 5702523 - 5? 5702516 In base 2, what is -110000000000 - -1000011011100? 10011011100 In base 12, what is -109a52 + -15? -109a67 In base 3, what is -20112111121021 + 0? -20112111121021 In base 14, what is cd + ad26? b015 In base 11, what is -15512269 - -3? -15512266 In base 12, what is -3070 + b77? -20b5 In base 3, what is 12 + 1102221122120111? 1102221122120200 In base 15, what is -bbd - -657a? 58ac In base 13, what is 1 - -182b46? 182b47 In base 4, what is 120030111031312 + -11? 120030111031301 In base 3, what is -200201001201121 - -10001? -200201001121120 In base 2, what is -11 - 10000110111001101101101101001? -10000110111001101101101101100 In base 16, what is 7818e9 + 22? 78190b In base 3, what is -20221100200112021 - 2? -20221100200112100 In base 3, what is 201220101200 - -20? 201220101220 In base 16, what is 1 - 11b753? -11b752 In base 15, what is -2 + 40d6378? 40d6376 In base 16, what is 410f + -225? 3eea In base 2, what is 100010100010110100101 +
{ "pile_set_name": "DM Mathematics" }
vided by 117? 114 Calculate the remainder when 4382 is divided by 12. 2 Calculate the remainder when 763 is divided by 16. 11 What is the remainder when 1594 is divided by 148? 114 What is the remainder when 149 is divided by 30? 29 What is the remainder when 2411 is divided by 21? 17 What is the remainder when 817 is divided by 91? 89 Calculate the remainder when 719 is divided by 151. 115 What is the remainder when 39 is divided by 20? 19 What is the remainder when 755 is divided by 56? 27 Calculate the remainder when 86 is divided by 38. 10 What is the remainder when 31 is divided by 19? 12 Calculate the remainder when 2944 is divided by 1470. 4 What is the remainder when 355 is divided by 72? 67 Calculate the remainder when 206 is divided by 90. 26 What is the remainder when 296 is divided by 44? 32 Calculate the remainder when 463 is divided by 97. 75 What is the remainder when 3054 is divided by 133? 128 Calculate the remainder when 815 is divided by 160. 15 Calculate the remainder when 2148 is divided by 20. 8 Calculate the remainder when 1509 is divided by 36. 33 Calculate the remainder when 228 is divided by 77. 74 What is the remainder when 663 is divided by 103? 45 What is the remainder when 97 is divided by 11? 9 Calculate the remainder when 626 is divided by 126. 122 What is the remainder when 841 is divided by 65? 61 What is the remainder when 294 is divided by 11? 8 Calculate the remainder when 905 is divided by 90. 5 What is the remainder when 23 is divided by 6? 5 What is the remainder when 19 is divided by 11? 8 Calculate the remainder when 45 is divided by 8. 5 What is the remainder when 1806 is divided by 36? 6 What is the remainder when 489 is divided by 99? 93 Calculate the remainder when 1158 is divided by 14. 10 What is the remainder when 221 is divided by 80? 61 What is the remainder when 59 is divided by 35? 24 What is the remainder when 53 is divided by 15? 8 Calculate the remainder when 370 is divided by 42. 34 Calculate the remainder when 92 is divided by 16. 12 What is the remainder when 285 is divided by 49? 40 Calculate the remainder when 842 is divided by 145. 117 Calculate the remainder when 1149 is divided by 36. 33 What is the remainder when 4308 is divided by 2149? 10 Calculate the remainder when 129 is divided by 104. 25 Calculate the remainder when 183 is divided by 23. 22 What is the remainder when 1239 is divided by 6? 3 What is the remainder when 930 is divided by 187? 182 Calculate the remainder when 54 is divided by 22. 10 What is the remainder when 465 is divided by 91? 10 What is the remainder when 727 is divided by 13? 12 Calculate the remainder when 2162 is divided by 103. 102 Calculate the remainder when 139 is divided by 30. 19 Calculate the remainder when 364 is divided by 16. 12 What is the remainder when 701 is divided by 64? 61 Calculate the remainder when 226 is divided by 53. 14 Calculate the remainder when 352 is divided by 59. 57 Calculate the remainder when 5643 is divided by 1880. 3 Calculate the remainder when 169 is divided by 57. 55 Calculate the remainder when 137 is divided by 48. 41 Calculate the remainder when 395 is divided by 19. 15 Calculate the remainder when 109 is divided by 108. 1 Calculate the remainder when 26332 is divided by 22. 20 Calculate the remainder when 249 is divided by 86. 77 What is the remainder when 23 is divided by 10? 3 What is the remainder when 1326 is divided by 37? 31 Calculate the remainder when 3439 is divided by 69. 58 What is the remainder when 10279 is divided by 73? 59 What is the remainder when 166 is divided by 24? 22 Calculate the remainder when 404 is divided by 210. 194 What is the remainder when 227 is divided by 60? 47 Calculate the remainder when 525 is divided by 173. 6 What is the remainder when 638 is divided by 217? 204 Calculate the remainder when 16374 is divided by 11. 6 Calculate the remainder when 435 is divided by 40. 35 What is the remainder when 90 is divided by 32? 26 What is the remainder when 448 is divided by 90? 88 What is the remainder when 232 is divided by 179? 53 Calculate the remainder when 794 is divided by 249. 47 What is the remainder when 1816 is divided by 18? 16 What is the remainder when 1406 is divided by 89? 71 What is the remainder when 42 is divided by 15? 12 What is the remainder when 273 is divided by 14? 7 What is the remainder when 338 is divided by 31? 28 What is the remainder when 3133 is divided by 95? 93 What is the remainder when 74 is divided by 14? 4 What is the remainder when 353 is divided by 31? 12 Calculate the remainder when 2392 is divided by 791. 19 What is the remainder when 137 is divided by 120? 17 What is the remainder when 185 is divided by 17? 15 What is the remainder when 120 is divided by 14? 8 What is the remainder when 188 is divided by 14? 6 What is the remainder when 11417 is divided by 22? 21 What is the remainder when 132 is divided by 35? 27 Calculate the remainder when 197 is divided by 33. 32 What is the remainder when 74 is divided by 25? 24 What is the remainder when 35 is divided by 10? 5 Calculate the remainder when 99 is divided by 18. 9 Calculate the remainder when 2640 is divided by 176. 0 Calculate the remainder when 2924 is divided by 65. 64 Calculate the remainder when 232 is divided by 79. 74 Calculate the remainder when 557 is divided by 23. 5 What is the remainder when 1550 is divided by 59? 16 What is the remainder when 880 is divided by 18? 16 Calculate the remainder when 23 is divided by 13. 10 What is the remainder when 1712 is divided by 82? 72 What is the remainder when 141 is divided by 23? 3 What is the remainder when 9185 is divided by 317? 309 What is the remainder when 68 is divided by 18? 14 Calculate the remainder when 155 is divided by 47. 14 What is the remainder when 125 is divided by 26? 21 What is the remainder when 193 is divided by 14? 11 Calculate the remainder when 1014 is divided by 79. 66 Calculate the remainder when 789 is divided by 11. 8 Calculate the remainder when 116 is divided by 78. 38 Calculate the remainder when 116 is divided by 39. 38 Calculate the remainder when 2224 is divided by 89. 88 Calculate the remainder when 514 is divided by 44. 30 Calculate the remainder when 561 is divided by 47. 44 What is the remainder when 319 is divided by 103? 10 What is the remainder when 86 is divided by 19? 10 Calculate the remainder when 134 is divided by 27. 26 What is the remainder when 101 is divided by 20? 1 Calculate the remainder when 622 is divided by 217. 188 What is the remainder when 1347 is divided by 75? 72 Calculate the remainder when 142 is divided by 70. 2 What is the remainder when 124 is divided by 18? 16 Calculate the remainder when 2639 is divided by 20. 19 What is the remainder when 597 is divided by 286? 25 Calculate the remainder when 150 is divided by 19. 17 What is the remainder when 234 is divided by 20? 14 Calculate the remainder when 194 is divided by 168. 26 What is the remainder when 670 is divided by 11? 10 Calculate the remainder when 3170 is divided by 1054. 8 What is the remainder when 806 is divided by 247? 65 What is the remainder when 14 is divided by 4? 2 Calculate the remainder when 2857 is divided by 110. 107 Calculate the remainder when 7 is divided by 7. 0 Calculate the remainder when 208 is divided by 78. 52 What is the remainder when 887 is divided by 327? 233 Calculate the remainder when 1957 is divided by 151. 145 What is the remainder when 206 is divided by 73? 60 Calculate the remainder when 571 is divided by 281. 9 Calculate the remainder when 2296 is divided by 131. 69 What is the remainder when 1521 is divided by 751? 19 Calculate the remainder when 1501 is divided by 16. 13 What is the remainder when 453 is divided by 24? 21 What is the remainder when 152 is divided by 36? 8 What is the remainder when 20479 is divided by 38? 35 Calculate the remainder when 93 is divided by 5. 3 Calculate the remainder when 154 is divided by 13. 11 What is the remainder when 1073 is divided by 179? 178 Calculate the remainder when 583 is divided by 576. 7 Calculate the remainder when 279 is divided by 58. 47 Calculate the remainder when 12335 is divided by 62. 59 What is the remainder when 716 is
{ "pile_set_name": "DM Mathematics" }
0? -61/66 Which is bigger: -15/14 or -4552? -15/14 Which is greater: -1.1 or 18? 18 Is -59841 less than -59839? True Is 372 at least as big as -1302? True Which is smaller: -1 or -18.198? -18.198 Is -292545 smaller than -292545? False Is -9542 smaller than -9538? True Is 0 bigger than 316/26573? False Which is bigger: 0.1 or -22004.5? 0.1 Are 927151 and 927151 nonequal? False Is -433928 greater than -433924? False Is 12/43 < -566? False Is -2/9551 < -1? False Which is bigger: -442469 or -442470? -442469 Which is smaller: -64036.3 or -1/3? -64036.3 Which is smaller: -3168 or -2/5? -3168 Which is greater: 8314 or 8301? 8314 Is 6/1998379 at most 0? False Is 29 >= 23828? False Is 2516 > 2520? False Is 23100 >= 0.2? True Does 51510 = 51516? False Is 0.2 smaller than -117187/4? False Is -1470 >= -853? False Are -93 and -353/4 non-equal? True Is -1 at least as big as -2/2887831? False Which is greater: 61 or -119? 61 Are 242 and 10/43 nonequal? True Is -85.3388 greater than or equal to 0.1? False Which is greater: -96 or 0.2328? 0.2328 Is 3.16 >= 2/769? True Which is smaller: -1 or -44/2251? -1 Is 1854 equal to 2037? False Is 554 at most 711? True Do -19450/13 and -1497 have the same value? False Is 2/9 at least -6360? True Which is greater: -32381 or -291433/9? -32381 Is -4 at least -441245? True Is 100 < -299? False Which is smaller: 0.3 or 7/1894? 7/1894 Is -0.07268 greater than -15? True Is 558/19 greater than -1/5? True Is 904882/5 < 180977? True Is 6 <= 2/247577? False Which is greater: 17778 or 45? 17778 Is 789/85 at least 8? True Which is bigger: -293791/5 or -58758? -58758 Which is bigger: -6992 or -6952? -6952 Is -67/5 less than or equal to 61? True Which is bigger: -81/214711 or 1? 1 Which is smaller: -46273/8 or -5785? -5785 Is 70770 not equal to 3? True Is 10.5 > 15988? False Which is smaller: 1 or -1/1280658? -1/1280658 Is 3.23 equal to -13/102? False Which is smaller: 190195 or 190198? 190195 Which is greater: -0.1 or 11.51141? 11.51141 Which is smaller: -485 or -11980? -11980 Which is bigger: -281743 or -281746? -281743 Which is smaller: 676 or 69520/103? 69520/103 Which is bigger: 1/7 or 43? 43 Which is bigger: 257 or 328? 328 Which is smaller: 0 or 30405/7? 0 Which is smaller: -24652/5 or -4931? -4931 Which is greater: 18/317 or -1? 18/317 Which is greater: 246 or 21? 246 Is -1899947 at most as big as -1899947? True Which is greater: 18626/5 or 3724? 18626/5 Which is smaller: 17209 or 17212? 17209 Which is bigger: 28475/3 or 9491? 28475/3 Is -0.1 equal to -851425? False Is 5/167 at least -52? True Does 347565 = 347563? False Is 42.1 bigger than 1152? False Is -661792 at most as big as 4? True Do -1/3986 and -15/4 have the same value? False Which is smaller: -6 or -5715/1037? -6 Which is smaller: 3314/3 or 1106? 3314/3 Is -2900/409 at least -7? False Is -293372 greater than or equal to -293372? True Is 32904 greater than 32904? False Which is greater: 252/85 or 2? 252/85 Do 1 and -555874 have different values? True Is 65690/7 smaller than 9384? False Are -3/10 and 352150 non-equal? True Which is smaller: 221 or 9527/43? 221 Which is smaller: 102321/2 or 51162? 102321/2 Which is greater: -249 or 253? 253 Which is smaller: -1 or 73/9416? -1 Is 148/5 != 1654? True Which is smaller: -795863/4 or -198965? -795863/4 Which is smaller: 136 or 1231/9? 136 Which is bigger: 11042/203 or 55? 55 Is 6216/47 less than or equal to 131? False Which is bigger: 7575.3 or 1/3? 7575.3 Are 129 and -390 equal? False Is -2.77307 at most as big as 0? True Is -2036620 > -2036620? False Which is smaller: 4329 or 366? 366 Which is greater: -1500 or 946? 946 Does 1 = -196/1849? False Which is greater: 13302 or 3/65? 13302 Which is greater: 0.25827 or 0.087? 0.25827 Which is smaller: -3/5 or -1498946? -1498946 Is 0 > -8/545253? True Is 1 bigger than -1/475559? True Is 1 smaller than -1/122661? False Is -2/703233 at most as big as -1? False Is -1377842 at least -1377846? True Which is smaller: -5 or -0.07934? -5 Which is smaller: -31122/85 or -366? -31122/85 Which is greater: -67/42048 or -1? -67/42048 Is -1 > 111580? False Which is smaller: 1/4 or -288829? -288829 Is -20757 < -20757? False Are -814/19 and -4/13 nonequal? True Which is greater: 4877 or 4883? 4883 Which is bigger: 12 or -2462? 12 Which is bigger: -135.545 or 0? 0 Are -71188 and 64 non-equal? True Is 11 > -891? True Which is greater: -1/1035289 or -1? -1/1035289 Are 653352 and 653351 non-equal? True Which is smaller: -2/7 or 120202? -2/7 Do -9140/239 and -39 have different values? True Which is greater: -0.076 or 193? 193 Which is smaller: 34/145 or 0? 0 Which is greater: 2/9 or -190731? 2/9 Is -33267 greater than or equal to -33386? True Which is bigger: 6265 or -1/4? 6265 Are 2/19 and 0.05623 unequal? True Is -355 less than -1021? False Which is bigger: -1 or -2/888993? -2/888993 Which is smaller: 454 or 472? 454 Which is smaller: -33366.92 or 3/2? -33366.92 Is -38/1761 greater than -1? True Which is bigger: -689184 or 0? 0 Do -1 and 1/793096 have the same value? False Is -246696/13 < -18977? False Is 294658 > 294656? True Is -1 greater than 40/869? False Is -246 < -386? False Is 1542184 at most as big as 1542182? False Are -1 and -119/3183 unequal? True Are -221/148 and -2 equal? False Is 126130 less than -12? False Is -5714/7 > -815? False Are -48528 and -48580 equal? False Is -780 at least as big as -782? True Are 59/554 and -1 nonequal? True Which is greater: -2/9 or -27/614? -27/614 Is -0.3 at most 0.2562? True Is 384108 less than or equal to 384109? True Which is bigger: -723 or -733? -723 Is 12 less than 1.12428? False Is -0.3 at least 10122.03? False Which is bigger: -380 or -144? -144 Which is smaller: -1 or -79/13406? -1 Which is greater: -305337 or 3/4? 3/4 Is -2/377559 greater than or equal to 1? False Which is bigger: 4099 or 24601/6? 24601/6 Is -7701 bigger than -7701? False Is 12 greater than or equal to 61126? False Which is greater: 3965/4 or 0.01? 3965/4 Is 306505 greater than 3? True Which is smaller: -641035/13 or -49310? -641035/13 Which is bigger: -21/4 or 10773? 10773 Which is bigger: -2.84 or 4.61? 4.61 Is -1249883 smaller than -1249885? False Is -7 > -18/20389? False Which is smaller: -4137 or -4363? -4363 Are 0.2163192 and -2/7 equal? False Which is bigger: -747 or -1848? -747 Which is bigger: 6633 or 6662? 6662 Is 97538 greater than or equal to 97547? False Are 0.1 and -0.016313 unequal? True Is 545 != 3814/7? True Which is smaller: -13 or 1830? -13 Which is bigger: 2/46065 or 1? 1 Which is greater: 1/3257265 or 0? 1/3257265 Which is greater: 0 or 1/1418375? 1/1418375 Which is bigger: 3/41 or -1537? 3/41 Are -37/95 and 5 unequal? True Is -4799 greater than -4769? False Is 1899 less than 1898? False Which is greater: -7 or -1/787? -1/787 Which is greater: -2/51803 or 0? 0 Which is smaller: 2/199 or 17? 2/199 Are 2/113185 and -1 non-equal? True Is 572273 equal to 4005916/7? False Which is greater: 6/30421 or -1? 6/30421 Is 1.2 bigger than -1/4679? True Is -44 at most as big as 168? True Is 22632 at most as big as 22628? False Which is greater: -2/301 or 0.0778? 0.0778 Which is bigger: -3/727 or -5878? -3/727 Is -0.22 <= 31705? True Are 782.7 and 0 equal? False Is 1 <= -1336/637? False Which is bigger: 0 or -1114/1485? 0 Which is bigger: 581950 or 581949? 581950 Which is greater: 29 or 18728/621? 18728/621 Which is smaller: 124358 or 124356? 124356 Is 210870 < 210868? False Is 1044426 smaller than 1044431? True Is -243893/5 > -48779? True Are -124 and -6786/55 equal? False Does -263.6 = 13/4? False Is -340 < -311? True Which is greater: -133451/51 or -2616? -2616 Which is smaller: -150 or -47? -150 Which is bigger: 2/584795 or 0? 2/584795 Which is smaller: -10 or -156739? -156739 Which is smaller: -3565 or -3608? -3608 Which is bigger: 78382 or 78383? 78383 Does -1027971 = -1027971? True Which is bigger: 5/52028 or 1? 1 Is -1 less than or equal to 4/2558949? True Are -13416 and -13573 non-equal? True Are -41355 and -41358 equal? False Do -81/216823 and 1 have the same value? False Is -1/2 at least as big as 51731? False Do -3/4 and -909213 have the same value? False Is -1173 < 28/57? True Which is smaller: 1/771474 or 0? 0 Which is greater: 1 or -1/126680? 1 Is -1498 g
{ "pile_set_name": "DM Mathematics" }
What is twenty-seven quarters of a decade in months? 810 How many millennia are there in 979986.2 decades? 9799.862 What is 31/2 of a year in months? 186 Convert 0.6478509 nanograms to micrograms. 0.0006478509 What is 1/24 of a century in months? 50 What is 89/2 of a day in minutes? 64080 How many milligrams are there in 85.27402kg? 85274020 How many millilitres are there in 79/2 of a litre? 39500 How many grams are there in 771369.6kg? 771369600 What is eleven halves of a centimeter in millimeters? 55 What is 40748.8l in millilitres? 40748800 How many hours are there in 5143.434 minutes? 85.7239 How many kilometers are there in 511.0357nm? 0.0000000005110357 How many millilitres are there in seven halves of a litre? 3500 How many kilograms are there in 985703.8 milligrams? 0.9857038 What is 7/4 of a milligram in micrograms? 1750 How many hours are there in 17/2 of a day? 204 What is four thirds of a millennium in months? 16000 What is 57/2 of a year in months? 342 How many millilitres are there in 29/2 of a litre? 14500 How many years are there in fifteen quarters of a millennium? 3750 How many millilitres are there in 0.9202042l? 920.2042 How many centimeters are there in 0.6133269 kilometers? 61332.69 How many minutes are there in 8/3 of a week? 26880 How many meters are there in 357693.7 centimeters? 3576.937 How many millimeters are there in 1/10 of a meter? 100 Convert 715139.1ug to grams. 0.7151391 How many micrograms are there in 3950.064 grams? 3950064000 Convert 16.45059ml to litres. 0.01645059 What is one twentieth of a microsecond in nanoseconds? 50 How many minutes are there in three tenths of a day? 432 How many millilitres are there in 0.3514538 litres? 351.4538 How many centuries are there in six fifths of a millennium? 12 How many nanometers are there in 15.87094 kilometers? 15870940000000 How many months are there in four thirds of a millennium? 16000 How many months are there in 1/5 of a decade? 24 How many centimeters are there in 254810.2nm? 0.02548102 What is nine tenths of a day in minutes? 1296 How many hours are there in 3046.761 days? 73122.264 What is 217030.5ng in kilograms? 0.0000002170305 How many years are there in 0.931614 centuries? 93.1614 What is three tenths of a litre in millilitres? 300 What is thirteen eighths of a litre in millilitres? 1625 What is 12/25 of a millennium in years? 480 What is 14.510307 months in millennia? 0.00120919225 What is 25/2 of a second in milliseconds? 12500 What is 3/25 of a litre in millilitres? 120 What is 142.1412km in micrometers? 142141200000 What is 24.17503 millilitres in litres? 0.02417503 Convert 1.278733 litres to millilitres. 1278.733 Convert 699.49656 microseconds to days. 0.000000008096025 How many milliseconds are there in one fifth of a minute? 12000 Convert 77697.51 grams to kilograms. 77.69751 How many millilitres are there in 5/8 of a litre? 625 What is twenty-one quarters of a gram in milligrams? 5250 What is 6/5 of a millimeter in micrometers? 1200 What is one quarter of a tonne in kilograms? 250 What is 3/8 of a milligram in micrograms? 375 What is 7009.85 microseconds in milliseconds? 7.00985 What is fifty-one fifths of a microgram in nanograms? 10200 How many millilitres are there in 11/8 of a litre? 1375 How many meters are there in 15/4 of a kilometer? 3750 What is twenty-one quarters of a milligram in micrograms? 5250 How many millilitres are there in 3/8 of a litre? 375 What is 3/10 of a century in years? 30 Convert 1465.2ng to milligrams. 0.0014652 What is 60629.67 decades in millennia? 606.2967 What is 636739.5 nanograms in tonnes? 0.0000000006367395 What is twenty-nine fifths of a centimeter in micrometers? 58000 How many days are there in three sevenths of a week? 3 What is 1.873035 days in hours? 44.95284 Convert 55.71886ml to litres. 0.05571886 How many kilometers are there in 280892.4mm? 0.2808924 What is 19/4 of a meter in centimeters? 475 How many nanometers are there in one quarter of a micrometer? 250 How many millilitres are there in 6014.579l? 6014579 How many micrograms are there in seventeen quarters of a milligram? 4250 What is 9/10 of a centimeter in micrometers? 9000 How many millilitres are there in 2585.855 litres? 2585855 What is 895224.6m in kilometers? 895.2246 What is 11/2 of a milligram in micrograms? 5500 What is 0.8985246 years in centuries? 0.008985246 Convert 57442.93g to micrograms. 57442930000 How many micrometers are there in one twentieth of a centimeter? 500 Convert 1.456525 litres to millilitres. 1456.525 What is fourty-eight fifths of a litre in millilitres? 9600 How many centimeters are there in 21131.34um? 2.113134 Convert 703592.7 millimeters to centimeters. 70359.27 How many decades are there in three tenths of a millennium? 30 How many centimeters are there in 6/25 of a kilometer? 24000 How many millimeters are there in 3/8 of a meter? 375 What is 42/5 of a meter in millimeters? 8400 How many micrograms are there in 37/5 of a milligram? 7400 What is 29/5 of a centimeter in micrometers? 58000 What is 562.7912 microseconds in nanoseconds? 562791.2 How many meters are there in three tenths of a kilometer? 300 How many nanograms are there in 4281.227kg? 4281227000000000 How many milliseconds are there in 3/10 of a second? 300 What is 0.2158509 microseconds in milliseconds? 0.0002158509 How many litres are there in 73.86683ml? 0.07386683 What is 158.5964 litres in millilitres? 158596.4 What is 18/5 of a centimeter in micrometers? 36000 How many litres are there in 0.3521489 millilitres? 0.0003521489 What is three eighths of a litre in millilitres? 375 What is 1/5 of a microgram in nanograms? 200 How many litres are there in 575742.3ml? 575.7423 Convert 1.151299 milligrams to nanograms. 1151299 What is 409448.7 days in nanoseconds? 35376367680000000000 What is 12/25 of a litre in millilitres? 480 What is seven thirds of a decade in months? 280 How many micrometers are there in fourty-five halves of a millimeter? 22500 What is six fifths of a litre in millilitres? 1200 How many nanograms are there in one fifth of a microgram? 200 How many centimeters are there in 1500.59nm? 0.000150059 How many nanograms are there in 886066.3 tonnes? 886066300000000000000 What is 37/2 of a tonne in kilograms? 18500 What is twenty-seven quarters of a litre in millilitres? 6750 How many millilitres are there in 128531.4l? 128531400 How many nanometers are there in sixty-one quarters of a micrometer? 15250 What is 41/2 of a litre in millilitres? 20500 How many months are there in 36.75522 millennia? 441062.64 What is 3/5 of a tonne in kilograms? 600 What is 658.3151 years in millennia? 0.6583151 How many seconds are there in 6/5 of a hour? 4320 What is 0.7563044 litres in millilitres? 756.3044 What is thirteen quarters of a litre in millilitres? 3250 Convert 45.6783 millilitres to litres. 0.0456783 What is fourty-five halves of a kilometer in meters? 22500 What is 6/25 of a meter in centimeters? 24 How many months are there in eleven halves of a century? 6600 How many millilitres are there in 6/5 of a litre? 1200 How many nanograms are there in nineteen quarters of a microgram? 4750 How many milligrams are there in 0.415327kg? 415327 How many millilitres are there in 6/25 of a litre? 240 What is 7/2 of a kilometer in meters? 3500 How many micrograms are there in 54.94015 grams? 54940150 What is one quarter of a millimeter in micrometers? 250 What is fourty-two fifths of a kilometer in meters? 8400 What is 83.65338 centuries in years? 8365.338 What is 28444.39g in milligrams? 28444390 What is 0.9379139 millennia in decades? 93.79139 How many decades are there in 634.9697 years? 63.49697 How many months are there in six fifths of a millennium? 14400 Convert 2.718373 centimeters to nanometers. 27183730 How many years are there in 0.7982634 months? 0.06652195 Convert 7.388293nm to millimeters. 0.000007388293 What is 7/4 of a litre in millilitres? 1750 What is 6/25 of a tonne in kilograms? 240 What is thirty-seven halves of a kilometer in meters? 18500 How many millilitres are there in nine tenths of a litre? 900 What is three fifths of a millennium in years? 600 How many nanograms are there in 23.47488kg? 23474880000000 What is 1/16 of a
{ "pile_set_name": "DM Mathematics" }
= -0.2 - 1.8. Let h = 175 - 1573/9. Let n be 15/(-42)*420/(-600). Sort h, k, n. k, h, n Let s be 3/10*((-52)/(-8) - 4). Suppose -q = -1, 2*y + 3*q = -6 - 3. Let k be (9/(-66))/(y/(-8)). Put -0.2, k, s in ascending order. -0.2, k, s Let p = 17 + -13. Let f be 1/((-3)/6) - 17. Let t = f + 17. Sort t, 0, p in ascending order. t, 0, p Let v(i) = 2*i - 6. Let g be v(3). Suppose g = -13*j - 10 - 133. Put -5, -0.5, -0.3, j in increasing order. j, -5, -0.5, -0.3 Let b = -3 + 3. Suppose -35 + 21 = 2*y. Sort y, b, -5. y, -5, b Let p = -5.14 - -6.34. Let h = 0.8 - 0. Let k = h - p. Put 0, k, -2/7 in decreasing order. 0, -2/7, k Let o be 3/2 + 3/(-2). Let i be 1*(-2 - (-1)/(-1)). Suppose 0 = 5*c - 3*f - 4, 2*c - 2*f = -0*c + 4. Sort c, i, o. i, c, o Suppose 7*x - 12*x - 10 = 0. Sort 0, 4, -3, x in decreasing order. 4, 0, x, -3 Let q = -2 + 4. Let v = -4.052 + 0.052. Let h = -1.8 + -0.2. Sort v, h, q. v, h, q Let v = 2396 + -2318. Put 0.3, v, -2/15 in descending order. v, 0.3, -2/15 Let b = -432.3 - -411. Let c = b + 21. Put 0, c, 0.1, -4 in decreasing order. 0.1, 0, c, -4 Let h = 0.362 + -0.762. Sort 0.2, 27, h in descending order. 27, 0.2, h Let c be 92/(-23) - (2 + -125). Sort -5, c, -3 in descending order. c, -3, -5 Let d be (6 + -4 + -3)*(-2)/2. Sort d, 4, 5, -6 in decreasing order. 5, 4, d, -6 Let k = -16 + 17.8. Let w = 1.2 + k. Let h = 0.2 - -0.1. Sort 0.05, h, w. 0.05, h, w Let w = -49 - -34. Let a = w - -31. Let k = a - 16. Put 1/6, k, -0.3 in descending order. 1/6, k, -0.3 Suppose -y - 4*y = -80. Let r = 14 - y. Let v = r + 3/2. Put v, -3, -0.2 in increasing order. -3, v, -0.2 Let n = -2.16 + 2.06. Put n, -2, 1/3, 4 in ascending order. -2, n, 1/3, 4 Suppose -4*y = 5*j - 0 - 3, 3*j + 3 = 0. Sort y, -4, -1, -12 in decreasing order. y, -1, -4, -12 Let u be 4/(-10) - ((-160)/(-25))/4. Let y be (3 + u)/(0 - -1)*-5. Let k be -3 + 4 - (-1 + 1). Put 0, k, y in descending order. k, 0, y Suppose 5*c - 7*c = 12. Let j(a) = 2*a - 3. Let y be j(5). Let o(k) = k**2 - 5*k - 11. Let p be o(y). Put p, 1, c in decreasing order. p, 1, c Suppose 28 = -9*g + 91. Sort g, -5, -3 in increasing order. -5, -3, g Let c = -14548 - -14550. Let f = -35 + 58. Put f, 4, 3/4, c in ascending order. 3/4, c, 4, f Let h be 1 + (10 + 23)/3. Sort -1, h, 2 in descending order. h, 2, -1 Let q(z) = z**3 + 13*z**2 - 14*z + 5. Let b be q(-14). Suppose -b*n = -5*x + 30, 13 + 5 = -4*n + x. Sort 1, 3, 5, n. n, 1, 3, 5 Let n = -501 + 496. Sort 1, 4, 6, n in decreasing order. 6, 4, 1, n Let d(j) = -j**3 + 37*j**2 - 101*j - 30. Let z be d(34). Put 19, 3, 0, z in increasing order. 0, 3, z, 19 Let q = -0.1919 + 0.0919. Put -32, -0.2, q in decreasing order. q, -0.2, -32 Suppose -3*s = 5*q - 33, 4*s + 3*q = 509 - 465. Let u(z) = -z - 4. Let i be u(0). Put s, 3, -1, i in decreasing order. s, 3, -1, i Let o = -1178/2637 + 2/879. Let z = -8 - -5. Put o, 1, z in decreasing order. 1, o, z Let h = -3 - 0. Let u(p) = 7*p**2 + 9*p + 1. Let o be u(4). Let v = o - 149. Sort 1, v, h. h, v, 1 Let y be (-4)/(-14) - 20/(-28). Let f(m) = -m**3 - 39*m**2 - 76*m - 77. Let u be f(-37). Put -2, u, y, 5 in descending order. 5, y, -2, u Let h = 9 + -5. Let y(l) = 3*l**2 - 2*l**2 - 35 + 74 - 34 - 6*l. Let b be y(h). Sort -1, 5, b in increasing order. b, -1, 5 Suppose -d + 2*n = 4*d - 18, 0 = -2*d + 4*n + 4. Let h = -71 + 70. Put 1, -2, d, h in decreasing order. d, 1, h, -2 Let c = -10 + 6. Let a = -6364 - -6361. Put -5, a, c, 4 in decreasing order. 4, a, c, -5 Let o = -0.6 + 36.6. Let r = o + -36. Let s = 0.5 + -0.1. Sort r, 0.2, s. r, 0.2, s Let s = 60 - 42. Suppose -15 = 5*v, z - s = 6*v - 2*v. Suppose -5*f + 11 = -a, a + f = 5*a + z. Sort a, 0, -5 in increasing order. -5, a, 0 Suppose -9 = w - 5. Let r(l) = -l**3 + 10*l**2 - 10*l - 3. Let f be r(9). Let d = 17 + f. Sort w, d, 4 in descending order. d, 4, w Let h = -143 - -141. Put 2, -12, 12, h in descending order. 12, 2, h, -12 Let x(h) = h**2 - 6*h + 3. Let w be x(4). Let f(o) = -4*o**3. Let t be f(-1). Let i be t/(-14) - (-16)/7. Put i, w, -2 in increasing order. w, -2, i Let g be (-2 + 57/27)/((-1)/(-6)). Sort 0.5, g, -0.1, -0.09 in decreasing order. g, 0.5, -0.09, -0.1 Let t = 50.883 - -0.117. Let a = t - 52. Put a, -3, 3, -0.1 in decreasing order. 3, -0.1, a, -3 Let z be (3/(-15))/(4/(-20)). Sort -2, z, -1, 2 in descending order. 2, z, -1, -2 Let g(l) be the third derivative of -l**4/24 + 7*l**2. Let y be g(-2). Let v = -17 - -28. Put y, v, 1 in decreasing order. v, y, 1 Let r be (2/(-1))/(4/10). Let t be (-18)/(1/21 - (-9)/(-27)). Let n = t - 64. Sort 5, r, n in decreasing order. 5, n, r Let m(q) = 2*q - 9. Let s be m(6). Let a = 1327 + -1332. Sort 0, a, s. a, 0, s Let t(h) = h**2 - 40*h + 150. Let i be t(4). Put -24, 0, 2, i in increasing order. -24, 0, 2, i Suppose 0 = -k - m - 4*m - 18, -3*k = 4*m + 10. Let x = k + 1. Let r = 562 + -563. Put x, 0.5, r in ascending order. r, 0.5, x Let f be -42*(75/(-21) + 1). Suppose -f = -5*a + 17. Suppose i - a = 6*i. Sort -1, 4, i. i, -1, 4 Let g = -181 - -2716/15. Let c = -67 + 67.2. Put g, -1/5, c, -3/4 in ascending order. -3/4, -1/5, g, c Suppose 0 = 2*c + 4*s - 2, 5*c + 9*s + 5 = 4*s. Sort 0, c, -1. c, -1, 0 Let n be (-4 - (0 - 0)) + (82 - 82). Let h = 1 + 1. Put n, h, -1 in descending order. h, -1, n Let d = 0 + 0. Suppose q = 4*a - 2752 + 2749, -5*q + 2*a = 15. Sort q, -9, d, 5 in descending order. 5, d, q, -9 Suppose 0*g - 54 = -9*g. Let f be (-9)/(-2) - 3/(-6). Sort f, -4, 1, g. -4, 1, f, g Suppose -1 = k - 2*u, 18 = 2*k + u - 0*u. Suppose -18*s + 93*s = -54*s - 258. Sort s, k, -4. -4, s, k Let j(b) = -b**3 + 6*b**2 - b + 3. Let t be j(4). Let p be (21/(-14))/((-6)/68). Suppose -4*x + 4*o = o + t, o = 3*x + p. Put 5, x, -6 in increasing order. -6, x, 5 Let p be ((-64)/8)/(-4) - 4. Suppose -2*v = v - 12. Let g = 6 - v. Sort 4, g, p. p, g, 4 Let z = -6181 - -3309. Let n = z - -112027/39. Let f = 2/13 - n. Sort 1/4, f, 1/5 in decreasing order. 1/4, 1/5, f Let k = 4 + -9. Let c be (20/60)/(1/6). Sort -1, c, k in descending order. c, -1, k Let n(h) = h**3 - 10*h**2 - 25*h + 23. Let m be n(12). Suppose 12 = -o + 3*o + 2*a, o + 2*a - m = 0. Put 0, o, -5, 2 in ascending order. -5, 0, o, 2 Let i be 186/155 - (-2)/(-10). Let x = 4 - 7. Put x, -2, i in decreasing order. i, -2, x Let g = 264 + -265. Sort 5, 0, 1, g in ascending order. g, 0, 1, 5 Suppose 4*g = -3*b - 32, 2*g + 14 = 4*b - 5*b. Suppose -6*w + 6 = -3*w. Suppose 4 = -w*k - 0*k. Put 2, k, b in increasing order. b, k, 2 Let q be (-202)/505 + ((-18)/5 - (-2)/2). Let t be 4 + (-1*2)/2. Sort -1, t, -5, q in descending order. t, -1, q, -5 Let p = -45 - -54. Let n = 11 - p. Sort n, -1/4, -5/6 in decreasing order. n, -1/4, -5/6 Let o = 0.478 - 0.178. Let s = 32 + -60. Put s, -5, o in descending order. o, -5, s Let s = -680 + 684. Put s, 29, -4 in decreasing order. 29, s, -4 Suppose 6*w = -417 + 411. Sort 4, w, 2, -4 in increasing order. -4, w, 2, 4 Let k = 131.4 - 26.4. Let j = k + -103. Let q = 0.1 + -4.1. Sort q, j, -0.2 in ascending order. q, -0.2, j Suppose -2*f = f + 21. Let v be 1*8 - (4 - 1). Suppose -25 = -0*t + v*t. Put f, 1, t in descending order. 1, t, f Let m = -852 - -868. Sort 2/17, m, 9/8. 2/17, 9/8, m Let o = 0.78 - 0.38. Put o, -4, 8/7 in increasing order. -4, o, 8/7 Let o(v) = -v**3 + 7*v**2 + 12*v + 16. Let j be o(8). Let w = j - 49. Put -3, w, 0, 5/4 in descending order. 5/4, 0, w, -3 Let b(x) = x**2 + 3*x. Let c be b(-4). Let s be 7/(56/(-88)) - -9. Sort -6, s, -4, c in decreasing order. c, s, -4, -6 Let r = 0.5 + -0.8. Let j = 27.4 + -27.9. Put -5, r, j, 1 in ascending order. -5, j, r, 1 Let r = 9 + -10.5. Let v = r - 3.5. Sort -2/5, v, -0.1. v, -2/5, -0.1 Let v(o) = o**3 + o. Let a be v(-1). Let i be 23 + -29 + 118/20. Let y = 4 + -1. Put y, a, i in ascending order. a, i, y Let n = 190 + -190.2. Let b = -25.2 - -29. Let d = 4 - b. Sort n, 0.3, d in descending order. 0.3, d, n Let r = -14.25 + 47.25. Put -2/7, 0.2, r, -0.5 in increasing order. -0.5, -2/7, 0.2, r Let x be (1 - 7)*5/(-15). Suppose -x*i + i = 3*i. Sort 3, 1, i. i, 1, 3 Let a(j) = j**2 - 7*j + 5. Let d be a(5). Let f = 0.6 - 0.52. Let c = f - -1.92. Sort d, -0.01, c. d, -0.01, c Suppose 10*m = -311 + 281. Let g(p) = -p - 5. Let o be g(-6). Sort 5, 4, m, o in decreasing order. 5, 4,
{ "pile_set_name": "DM Mathematics" }
)/(-9) + -3)*-285. Suppose i = x + 4*x. What is the remainder when x is divided by v? 9 Suppose 5*v = -2*x + 9*v + 112, 3*x - 5*v = 170. Suppose -2*y - 2 + x = 0. What is the remainder when y is divided by 15? 14 Let u be -1*(1 + 1 + 2). Let p be 27/6 + 6/u. Suppose 5*y - 2*r - 102 = 0, 78 = 3*y + p*r - 0*r. Calculate the remainder when y is divided by 12. 10 Let v(t) = t**3 + 9*t**2 - 9*t + 24. Let x be (-6 - (-256)/44) + 108/(-11). Calculate the remainder when 30 is divided by v(x). 2 Suppose f + f = -4*p + 332, 0 = -3*f + 5*p + 509. Let c = -94 + f. What is the remainder when c + -11 - 2*1 is divided by 16? 13 Suppose -v = 5*n + 3*v - 71, 2*v = -3*n + 41. Calculate the remainder when 91 is divided by n. 3 Suppose 991 = 5*l + s, 3*s - 10 = -7. Calculate the remainder when l is divided by 104. 94 Suppose -4*m + 40 = -5*w, -w - 11 = -2*m + 9. What is the remainder when (-3)/(2 + 19/(-9)) is divided by m? 7 Let t = 134 - 88. Let w = t + -2. Calculate the remainder when w is divided by 16. 12 Suppose 3*z + 4*i = 95, -i + 3 = -2. Let b = -13 + z. What is the remainder when 33 is divided by b? 9 Let g(t) = -t**2 - 9*t - 5. Let v = 69 - 29. What is the remainder when v is divided by g(-5)? 10 Suppose h + 10 = -n - 1, 4*h - 2*n = -38. Calculate the remainder when 53 is divided by 7 + h - (-34)/2. 11 Let d(z) = 15*z**2 - 77*z - 19. Calculate the remainder when 123 is divided by d(6). 5 Suppose -3*h - 3*c = -216, h + c = -3*h + 300. Let f = h - 62. What is the remainder when f is divided by 9? 5 Let q(y) = -4*y**2 - 9*y + 1. Let u be q(-2). Suppose u*t + 26 = 53. What is the remainder when 98 is divided by t? 8 Suppose -4*q - 27 = -147. Let p(v) = v**2 - 113*v + 750. What is the remainder when q is divided by p(7)? 6 Let j be (1 - 0)/(6 - 452/76). Suppose -14 = -h + 5*i - 3*i, j = h - 3*i. Calculate the remainder when 21 is divided by h. 1 Suppose 0 = 4*m - m - 12, -4*j + m + 200 = 0. What is the remainder when 217 is divided by j? 13 Let u be (-15)/6*(-8)/(-5). What is the remainder when 105/12 - 1/u is divided by 3? 0 Let h(a) = -a**3 + 9*a**2 - 5*a - 8. Calculate the remainder when h(7) is divided by (-174)/(-2)*(-103)/(-309). 26 Calculate the remainder when 347 is divided by (-18)/2 - 1746/(-18). 83 Suppose 14 = 4*z - 26. Let r be 2*-37 + (-2)/(-1). What is the remainder when 35 is divided by (r/z)/3*-5? 11 Let u(q) = 4*q**2 + 7*q + 3. Calculate the remainder when 31 is divided by u(-2). 1 Suppose -s = -13*w + 9*w + 1421, 0 = 3*w - 3*s - 1077. What is the remainder when w is divided by 21? 18 Let t(x) = 43*x**2 + 12*x - 33. What is the remainder when t(4) is divided by 64? 63 Suppose 8*y - 11*y + 612 = 0. Suppose 4*t - y = -0*t. Suppose -u - 5*v + 3*v = -23, 0 = 3*u - 3*v - t. What is the remainder when u is divided by 11? 8 Let c(p) = 6*p**2 + 6*p - 4. Let a be c(-3). Let z = a + -30. Let y = z - -41. What is the remainder when y is divided by 12? 7 Suppose 0 = -2*m - 2*m + 120. Suppose 70 = -h - 2*h + 5*f, 3*h + 4*f = -25. Calculate the remainder when m is divided by (-32)/(-3) + (-5)/h. 8 Let i = -1100 - -1329. Calculate the remainder when i is divided by 15. 4 Let j be 4/(3/(-5 - -2)). Calculate the remainder when 74 is divided by 3/j + 1236/48. 24 Suppose 67 = 12*r + 5*n - 137, -r + 4*n = -17. Suppose -139 = -4*c + 193. What is the remainder when c is divided by r? 15 Suppose 0 = -2*z - 3*z + 4*f + 592, -2*z + 232 = -4*f. Suppose -z = 5*l - 8*l. Calculate the remainder when 238 is divided by l. 38 Suppose -30 + 3 = -9*t. Suppose 3*h = 5*o - 86, -t*o + 3*h + 52 = h. Calculate the remainder when (9/2)/((-1)/(-14)) is divided by o. 15 Suppose 392 = 2*y - 0*y. Calculate the remainder when y is divided by 29. 22 Suppose 3*m = 4*x - 2736, 6*x - 4*x - 1378 = 4*m. Calculate the remainder when x is divided by 6. 3 Suppose -l - 5 + 14 = q, -5*l - 7 = q. Suppose -4*k + q = -59. What is the remainder when 27 is divided by k? 9 Let g be 4 + -41 - 1*1*2. Let h = 110 + g. What is the remainder when h is divided by 15? 11 Calculate the remainder when 25413/(-43)*(-1 - 0) is divided by 16. 15 Suppose 4*l = -q + 90, 0 = -5*l + 2*q + 2*q + 123. Calculate the remainder when 82 is divided by l. 13 Let w(c) = 2*c**3 - 2*c**2 - c + 2. Calculate the remainder when w(3) is divided by (5 - 9 - 2)/(-1). 5 Suppose 10*q + 2*q - 3252 = 0. What is the remainder when q is divided by 69? 64 Suppose -2*v + 44 = -i + 4*i, -10 = -i - 3*v. Calculate the remainder when 61 is divided by i. 13 Let c(y) = 18*y**2 + 4*y - 3. Calculate the remainder when 224 is divided by c(1). 15 Suppose 35*i - 56*i + 2394 = 0. What is the remainder when i is divided by 110? 4 Suppose 84*n - 306 = 75*n. Calculate the remainder when 100 is divided by n. 32 Let c(q) = q**3 + 6*q**2 + 5*q + 5. Let u(o) = 8*o + 4. Let d be u(-1). Calculate the remainder when 31 is divided by c(d). 14 What is the remainder when 55/(-11) + 5 - 1*-38 is divided by 8? 6 Suppose -3*a + 435 = -q - 233, -a + 5*q + 218 = 0. Calculate the remainder when a is divided by 14. 13 Suppose 7*j - 9*j = -442. Suppose -13*q + 377 = -j. What is the remainder when q is divided by 17? 12 Let f = 35 - 33. Let z be 3 + 2 + f*-2. Suppose 2*d - z + 7 = 0, -4*c = 2*d - 18. What is the remainder when c is divided by 4? 2 Let g(s) = -s**3 - 3*s**2 - 5*s - 4. Suppose 28*v = 49 + 63. What is the remainder when g(-3) is divided by v? 3 Let d(c) be the third derivative of -c**4/24 + 2*c**3/3 + 14*c**2. Calculate the remainder when 39 is divided by d(-7). 6 Suppose 78 = 4*j + 2*j. Let v be (-7)/(-28) + 6/8. Calculate the remainder when 0 - (-2 + v) - -49 is divided by j. 11 Let c(m) = 2*m + 7*m + m + 2*m - 6. Let x be c(6). Suppose -x = -4*t + 86. Calculate the remainder when t is divided by 8. 6 Let f = 332 + -245. What is the remainder when f is divided by 44? 43 Suppose -2*v = -g, -5*v - 15 = 5*g - 60. Let t = 28 + -20. Let z = -5 + t. What is the remainder when g is divided by z? 0 Let q = 657 + -445. Calculate the remainder when q is divided by 12. 8 Let q be 1/((-9)/6)*-3. Suppose -q*r = -r. Suppose -z + 5*z - 76 = r. Calculate the remainder when 37 is divided by z. 18 Let a(u) = 3*u**2 + 32*u + 7. Let w(r) = r**2 + 16*r + 3. Let l(x) = -2*a(x) + 5*w(x). What is the remainder when l(13) is divided by 15? 10 Suppose 33 = -9*c + 10*c. Calculate the remainder when 93 is divided by c. 27 Suppose 0*j = 3*j + 5*b + 25, -2*b = 4*j + 10. Suppose -2*y + 4*x + 22 = -j*y, 0 = -3*y - 2*x + 17. What is the remainder when 19 is divided by y? 5 Suppose 3*r = 14 - 5. Suppose -4*u = -4*y + 396, -2*y - r*u + 154 = -54. Suppose 0 = 4*l - y + 33. Calculate the remainder when 65 is divided by l. 14 Let u = 59 + -52. Calculate the remainder when 152 is divided by u. 5 Let y = 19 + -10. Let j(t) = t. Let u(v) = 3*v**2 - 13*v + 8. Let w(z) = 3*j(z) + u(z). Calculate the remainder when w(y) is divided by 41. 38 Let r = 208 + -199. Suppose -2 = -2*t + 2. Suppose 5*u - 115 = -2*a, -6*a + t*a + 55 = 3*u. Calculate the remainder when u is divided by r. 7 Suppose 4*g - g - 78 = 0. Let a(k) = 2*k - 11. Let j(n) = -3*n + 11. Let l(v) = -2*a(v) - 3*j(v). What is the remainder when g is divided by l(4)? 8 Suppose -2*n + 8 + 24 = 0. Suppose 0 = 81*o - 71*o - 770. What is the remainder when o is divided by n? 13 Let a(m) = -m**2 + 10*m - 4. Let d be a(9). Suppose d*t + 3*u - 31 = 0, 4*t - 5*u - 47 = -0*u. Calculate the remainder when 13 is divided by t. 5 Let n be (108/8)/3*6/9. Suppose 19 = q + 5*i - 45, -n*q + 3*i = -264. What is the remainder when q is divided by 24? 12 Let m(j) be the second derivative of -j**5/20 - j**4/4 + 9*j**2/2 - 19*j. Calculate the remainder when m(-5) is divided by 31. 28 Let n(a) = a**3 - 3*a**2 - 3*a - 1. Let q be n(4). Let p be 2 + -2 - (q + 2). Let j = p + 10. What is the remainder when j is divided by 2? 1 Let l(t) = 3*t**3 - 7*t**2 + 15*t + 1. What is the remainder when l(4) is divided by 36? 33 Suppose 19 = 5*i + 94. Let q = 33 + i. Let z = q - -16. Calculate the remainder when z is divided by 18. 16 Let c be 42*(5 + 0 + -4). Let i be c + 3*4/(-6). Suppose -4*k + 76 = 3*w, w + 2 - i = -2*k. Calculate the remainder when k is divided by 10. 9 Suppose 7*j + 9 = 4*j. Calculate the remainder when 21 is divided by -15 + 18 - (j - (-4)/(-2)). 5 Supp
{ "pile_set_name": "DM Mathematics" }
der. k, -0.1, n Let a(o) = -2*o. Let y be a(2). Let d = -7 - y. Let v = 9 - 4. Sort d, v, 2 in descending order. v, 2, d Let x = -277/1540 - -10/77. Put -5, x, 1/5 in ascending order. -5, x, 1/5 Let b = -14.2 + 17.2. Let x be ((-24)/36)/((-22)/(-6)). Sort 0, b, x. x, 0, b Suppose 2*x - 3*s - 15 = x, -20 = -2*x + 4*s. Let t(y) = -4*y + 11. Let k be t(0). Let q be (4 + -3)/(k/(-2)). Sort q, x, 0.2 in ascending order. q, x, 0.2 Let d = 0.034 - -51.966. Let z = d + -57. Let p = -3.2 + 3. Put p, 3, z in descending order. 3, p, z Suppose -23*w + 375 = 329. Suppose t + 4*a + 2 = 0, -t - 2*a - 36 = 2*t. Sort t, 3, w in decreasing order. 3, w, t Suppose 2*z - 6*z + t = -4, 3*z - 18 = -3*t. Sort z, 5, 1/4, -3/5. -3/5, 1/4, z, 5 Let s = -228 - -1369/6. Put -1/3, 7/3, s in decreasing order. 7/3, s, -1/3 Let a = -3 - -4. Let l = 137 - 136.97. Sort a, l, 3/4 in increasing order. l, 3/4, a Let j = 113/165 + -1/55. Let l = -13 + 33. Let h = l + -16. Put -4, h, j in increasing order. -4, j, h Let j = 300 - 298. Sort -1, 3, j, 4 in decreasing order. 4, 3, j, -1 Let h = -52 + 55. Suppose -5*v + 16 = 11. Put -3, -7, h, v in decreasing order. h, v, -3, -7 Let u = -40 - -2. Let f = -0.818 - 36.482. Let g = f - u. Sort g, -0.3, -3 in increasing order. -3, -0.3, g Let y = 12.2 - -2.8. Let j = y - 15. Put 4/9, 0.1, j in increasing order. j, 0.1, 4/9 Suppose 6*n = 4*n. Suppose -3*p - 12 = n, 3*z - 3*p + 0*p = 3. Put 6, z, -1 in increasing order. z, -1, 6 Let s = 214 - 212. Suppose 0 = -2*h - 3*h + 35. Suppose -h*d + s*d = 15. Sort 2, 5, d. d, 2, 5 Suppose 11 = -h - h - 3*r, -3*h - 4*r = 14. Let s be (-1 + 0 - 1)*h. Let m be 4*(-10)/15 - 3/9. Sort m, -1, s in decreasing order. -1, m, s Suppose 0 = 7*k - 18*k + 242. Sort k, 2/7, -0.3 in ascending order. -0.3, 2/7, k Let v = -1.36 - -17.36. Sort -0.5, 3, -2/7, v in increasing order. -0.5, -2/7, 3, v Let p = -149 - -133. Sort -3, -2, p in decreasing order. -2, -3, p Let y = 191031/8 - 23825. Let w = y + -54. Let c = -37/2 - -331/18. Sort c, w, 5 in increasing order. w, c, 5 Let a = -51.9 + 51.7. Put -0.04, 0.4, a in decreasing order. 0.4, -0.04, a Let k = -0.0967 + -0.9033. Sort -18, -0.3, -3/5, k in increasing order. -18, k, -3/5, -0.3 Let h = -10 + 5. Let q = h + -10. Put -0.5, q, 0 in ascending order. q, -0.5, 0 Let l = -1 - -11. Let p = 9 - l. Let z = 1 + -1.1. Put p, -1/22, z in descending order. -1/22, z, p Let o = 12 - 12.025. Let t = -0.375 + o. Let m = 0.4 + -3.4. Sort 2/15, t, m in descending order. 2/15, t, m Let n = 379.2 + -379. Let p = -0.4 - -1.9. Sort p, -2, n. -2, n, p Let l be (-3)/(2*21/28). Put 1, -1, l, -5 in decreasing order. 1, -1, l, -5 Let d(u) = 2*u**2 + 11*u. Let j be d(-7). Let w = -22 + j. Sort w, -10, -2. -10, -2, w Let z be (-176)/(-55) - (0 - -3). Let m = -0.02 - -2.02. Let b = 1 - m. Sort -5, b, z in decreasing order. z, b, -5 Suppose 0*x - x = 0. Let m be -17 + (-664)/(-40) - (-8)/(-5). Put 13, m, x in descending order. 13, x, m Let x = 1 + -0.7. Let g = -2.9 + 3.2. Let b = x - g. Put b, -3/2, 1/5 in descending order. 1/5, b, -3/2 Let o = 225 - 227. Sort -9, -1, -4, o in descending order. -1, o, -4, -9 Suppose 4*h + 87 = -5*v, -38 = 2*v + 4*h - 8. Let w = v + 19. Suppose w = 4*l + 16 + 16. Put 1, l, 2/11 in ascending order. l, 2/11, 1 Suppose 0 = -4*c - c. Suppose 5*p + g + 11 - 1 = 0, 0 = 2*g + 10. Let y be (3/(-2 - 1))/p. Sort c, y, -1 in ascending order. -1, c, y Let j(p) = -p**2 - 3*p + 3. Suppose 0 = w + 4 - 0. Let r be j(w). Let l be -4 - ((-8)/(-12)*-1)/(4/54). Put r, 8, l in descending order. 8, l, r Let s = 2.3 - 0.3. Let d = -1.72 + s. Let o = 0.78 - d. Put o, 0.3, 0 in decreasing order. o, 0.3, 0 Let a = 968/3 - 328. Let l = -5 - a. Sort l, 1/6, 2/3 in ascending order. 1/6, l, 2/3 Suppose 15 = 6*d - 9*d. Put 2, 4, d in decreasing order. 4, 2, d Suppose 2 = 3*q - 4*q. Let m(p) = -p**2 - 7*p - 4. Let k be m(-5). Suppose 4*b = -k - 6. Put 3, b, q in increasing order. b, q, 3 Let m = 1.5 + -6.5. Let y = -280 + 278. Put 13, y, m in descending order. 13, y, m Suppose -2*h - 4 = 2. Let a = 12 - 1. Suppose -12*q = -a*q - 4. Sort -1, q, h. h, -1, q Let k = -181 - -365/2. Let r = -0.1 + 0. Sort 0.5, r, k in descending order. k, 0.5, r Let k be ((6/45)/(-1))/(18/81). Let g = 6 + -1. Sort k, g, -4 in descending order. g, k, -4 Let z = 3 + -5. Let b(q) = -q**2 - 7*q - 7. Let p be b(-3). Put z, p, 12/11 in decreasing order. p, 12/11, z Suppose -31 + 31 = 48*a. Sort 2, a, 13, -3 in decreasing order. 13, 2, a, -3 Let i be (-168)/(-80) - -1 - 15/5. Sort 4, i, -82 in decreasing order. 4, i, -82 Let f(t) = -6*t**2 + 149*t + 22. Let n be f(25). Sort 3, 2, 0, n in increasing order. n, 0, 2, 3 Suppose 3*t + 3*c - 27 = -2*c, 2*c - 2 = t. Suppose -616 + 6532 = -76*u - 128*u. Sort t, -3, u in descending order. t, -3, u Let d(j) = j**3 - 44*j**2 + 40*j + 126. Let q be d(43). Sort q, -4, -5 in ascending order. -5, -4, q Let x = 0.337 + -0.037. Let p = -29 - -29.1. Sort p, -2.2, x in increasing order. -2.2, p, x Let a be 2/4*2 + 0. Let k = 6.7611 + -0.7611. Let h be (-25)/(-10) + (-1)/2. Sort k, a, h in descending order. k, h, a Let p = -326/15 - -1319/60. Sort -0.2, 0.3, p, 5 in ascending order. -0.2, p, 0.3, 5 Let i = 4.84 + -5.24. Sort 3/4, -1, -2/9, i in increasing order. -1, i, -2/9, 3/4 Let u = 622 - 626. Put -5, -12, u, 5 in increasing order. -12, -5, u, 5 Let t = 3381 + -3378.981. Let b = -0.019 + t. Let x = -29/15 + 4/15. Put x, b, -4/9 in ascending order. x, -4/9, b Let t = -74/25 - -616/225. Let o = 0 + 5. Put t, o, -5 in decreasing order. o, t, -5 Suppose 19*a = 21*a + 2. Put 14, a, -2 in descending order. 14, a, -2 Let r(l) = -l**2 - 3. Let t be r(-3). Put -0.4, -1/3, t, -3 in descending order. -1/3, -0.4, -3, t Let o be (-52)/(-16) + (-1)/4. Suppose 3*a = 5*k + 46, 4*a = k + 2*k + 32. Let h = k - -18. Put h, 2, o in increasing order. 2, o, h Suppose 4*b + 10 = 26. Put -2, b, 21 in increasing order. -2, b, 21 Let y = 7 - 3. Suppose 0*j + 25 = 2*j - 3*o, j + y*o + 15 = 0. Suppose 2*v + j*b - 19 = -v, 0 = 4*v + b + 3. Put -3, 4, v in descending order. 4, v, -3 Let t(n) = 4*n - 16. Let u be t(7). Suppose 0 = -u*r + 4*r + 8. Put 5, -1, r in decreasing order. 5, r, -1 Let o = 829 - 843. Sort 3/7, -1, 7, o in ascending order. o, -1, 3/7, 7 Suppose -4*z - 4*q + 4 = -7*z, 3*z = -5*q + 32. Let c(b) = b + 12. Let w be c(-15). Put w, z, 1 in decreasing order. z, 1, w Let i = 11 + -14. Let s = -3.3 + 3.4. Put -1, i, s in ascending order. i, -1, s Let r be 5/4 + 35/(-28). Put r, -2, 2, 9 in descending order. 9, 2, r, -2 Let a = 15075/52738 + -1/7534. Let l be ((-4)/6)/(3/(-9)). Put l, 0, -5, a in decreasing order. l, a, 0, -5 Let g(v) = 2*v**3 + 19*v**2 + 8*v - 9. Let k(c) = 5*c - 9. Let d be k(0). Let r be g(d). Put 4, r, -11, 3 in ascending order. -11, r, 3, 4 Let p be ((-8)/6)/(30/(-135)). Let z be ((-15)/p + 2)*4. Sort z, -3, 3. -3, z, 3 Let b = -449 - -448. Put 2, b, -31 in ascending order. -31, b, 2 Let n = 1.1 - 1.8. Let q = n + 5.7. Let h = 0.03334 + -0.06334. Put h, 1/4, q in ascending order. h, 1/4, q Suppose 0 = -163*a + 161*a - 2. Put -2, 38, a in descending order. 38, a, -2 Let f(m) = -6*m + 390. Let h be f(65). Let n(p) = -p + 5. Let a(g) = 1. Let v(x) = 4*a(x) - n(x). Let s be v(-3). Put h, s, -2 in decreasing order. h, -2, s Suppose -5 - 3 = -2*k. Let z be 1/((-35)/k) + (-6)/(-15). Put z, 4/5, -2/5 in decreasing order. 4/5, z, -2/5 Let j(q) = 22*q + 105. Let y be j(-5). Suppose 2*t - 3*d - 10 = -2*d, -5*t + 11 = d. Suppose -t*i + 42 = -0*i. Put i, y, 1 in decreasing order. i, 1, y Let t = 7 - 5. Suppose 0 = -t*m - 4*b + 4, -2*b + 7*b - 5 = -m. Let w = -3 - -4. Put w, 5, m in ascending order. m, w, 5 Let m = -401 - -400.8. Put -3/5, 1, m in decreasing order. 1, m, -3/5 Let f = 3 + -5. Let s = 1930 + -1929.96. Sort f, 2/5, 4, s in descending order. 4, 2/5, s, f Let s = -114.091 - -0.091. Let x = 118 + s. Sort -4, 1, x in descending order. x, 1, -4 Let i(a) = -a**2 + 16*a - 57. Let b be i(6). Sort 4, 2, b in descending order. 4, b, 2 Suppose -5*x - 158 = 32. Let k be 27/9*x/3. Let y = 227/6 + k. Put 5, y, -4 in ascending order. -4, y, 5 Let k(i) = -i**2 - 7*i - 7. Let n = 5 + -6. Let v be k(n). Put 9, v, 5 in ascending order. v, 5, 9 Let d be (-2 + -13)*(-31)/(-93). Let h be (-17)/(-3) +
{ "pile_set_name": "DM Mathematics" }
*g + f, 5*g - 16 = -c - 4 for c. 2 Let g = -79084 - -79088. Let w be ((-6)/(-4))/((-2)/(-4)). Solve -2*d = -w*f - 4*d + 23, g*d - 41 = -5*f for f. 5 Let c(i) = 43 + 39*i**2 - 18 + 24*i - 79*i**2 + 39*i**2. Let p be 2/7 - 692/(-28). Let a be c(p). Solve -2*b + g = a, -3*g - g = 5*b - 13 for b. 1 Let b(a) = a. Let q be b(4). Suppose 4*c = -2*o + q*o - 6, 6 = o + c. Solve -3*z - o*s = -0*z - 7, 5*z + 9 = 2*s for z. -1 Suppose -4*q = -q - 9, -4*q = -2*c + 12. Suppose -16*r + 10*r + c = 0. Let m be 4*(0 + (-21)/(-12)). Solve -3*y - m = -r*b, 2*y + 25 = -3*y for b. -4 Suppose 0 = 5*m - 35 - 105. Let h be m/6 - (-16)/120*-5. Solve -h*g + 8 = 4*t, -6 = 4*g - 3*t - 14 for g. 2 Suppose 32*l - l - 72 = 7*l. Solve -2*r + 6 = -4*o, 2*o - 4*o + l = r for r. 3 Suppose -10 = f - 21. Suppose -5*l + f*v = 6*v - 45, 5*v = -15. Solve 0 = -4*m + m + l, 0 = -2*t + m - 6 for t. -2 Let z be ((-337)/14 - -29) + (-2)/(-28). Solve t = 9*f - 5*f - z, 3*f - 21 = -5*t for t. 3 Let q = 2701 + -2699. Solve o = 5, 3*o + q*o = -4*y + 29 for y. 1 Let l(k) = 4*k - 38. Let j = -49 - -64. Let c be l(j). Suppose 0 = -25*h + c*h + 15. Solve -3*x + 0 = h*w - 3, 4*w - 4 = -4*x for x. 1 Let t = -113 + 136. Let r be t/5 - (-12)/(-20). Solve r*m = -k + 2*k - 15, -m - 20 = 3*k for k. -5 Let t = 10091 - 10088. Solve 0 = -3*k - 2*d - 9, t*d + 10 - 1 = -3*k for k. -3 Let s = 14 + -10. Suppose 5*w - 10 = -5*v, s*v + 0*w + 5*w = 10. Suppose 39 = 4*h + 3*m, 5*h = 3*m - 1006 + 994. Solve 8*y = 3*y - 15, v = -4*p + h*y - 3 for p. -3 Suppose m - 46 = -0*m - h, -3*m + 136 = 5*h. Let x = 55 - m. Suppose -42 = b - x*b. Solve b*c + 5 = c, 0 = v + 4*c + 6 for v. -2 Let p be (1 - 4) + 4/1. Suppose -24 = -5*i + p. Suppose 8*b + 7 = 11*b + l, 4 = -4*b - 4*l. Solve 3*a - i*a - 8 = -4*o, -3*o - b*a + 17 = 0 for o. 3 Let n be -38 - -240 - ((5 - -1) + 0). Let x = -191 + n. Solve -u - 2*h + 5*h = -9, -x*h = 4*u + 32 for u. -3 Let w(u) = 6*u**2 - 2*u + 2. Let t be w(1). Suppose 2*i + t = 12. Solve -2*h - 7 = 5*n, 2*h = i*n - 2*n - 1 for h. -1 Let g = -163 + 159. Let j be (-9)/(-3) + -7 - g. Solve -4*q - 3*n = -2*q + 1, q - n - 2 = j for q. 1 Suppose -2*t - 1 = -s, -4*s = 5*t - 31 - 12. Let x(o) = -o**2 + 14*o + 23. Let p be x(s). Let h = p - 68. Solve -3*u - h*v = -9*v + 5, -2*v = 4 for u. -5 Let p(l) = -252*l - 3525. Let c be p(-14). Solve -4*y + c*t - 29 + 18 = 0, -2*y = -3*t + 7 for y. -2 Let y(n) = -n**3 - 16*n**2 - 15*n + 39. Let l be y(-15). Let c be 462/l - (-24)/156. Solve 0 = -r + 3*z - 3 - 10, 4*r - 2*z = -c for r. -1 Let f be (272/32)/((-2)/(-4)). Suppose 13*j = f*j. Let p be (-5)/((-2)/4 - 2). Solve j = h + p*n + 1, 6*h = 5*h + 2*n + 3 for h. 1 Suppose -78*q + 67 = -22*q - 45. Solve q*m - 26 = z - 27, 2*m = 4*z + 8 for z. -3 Let n(b) = 4*b - 48. Let t be n(12). Solve t = -3*i - 5*o + 24 + 13, 4*o - 12 = 2*i for i. 4 Let q = 13 - -15. Suppose 3*a = 3*o + 24, 2*a + 3*o = 1 + 10. Suppose 9 = -a*z + 37. Solve -4*r - 4*n = -q, n + 26 = z*r + 4*n for r. 5 Suppose 850*y - 857*y + 119 = 0. Suppose 5*u + y - 37 = 0. Solve u*c = f - 2, -5*f - 10 + 3 = -3*c for f. -2 Let c = 83 - 76. Let r be (20/c - 2)/(22/77). Solve -8 = 3*b + 5*j, b + 8 = -0*j - r*j for b. 4 Let a(t) = t**2 + 2*t + 3. Let l be a(-3). Suppose -7*o + l*o + 16 = 0. Let u be ((-1)/(3/(-2)))/(o/264). Solve 4*i + 2*n + 18 = 0, -2*n - 3 - u = 2*i for i. -2 Suppose 78 = 27*c - 30. Suppose 0 = -3*i - m + 4, 3*m + 11 = -c. Solve -8 = o + i*o + 2*h, -o = 4*h - 12 for o. -4 Let q be ((-4)/6)/((-30)/7965). Let d = q + -174. Solve 3*i - 2*c = -5*c - d, 0 = 4*i - c - 11 for i. 2 Suppose -3*y = -0*g + 3*g - 6, -3*y + 22 = -5*g. Solve 7 = -5*x - 4*j, -y*j - 1 = 11 for x. 1 Let l be (-16)/24 + -1*22/(-6). Let h be 12*(152/48 - l). Solve 5 = -4*o - 3*x + 27, -3*o - h*x + 16 = 0 for o. 4 Let q be ((-12)/2)/((-69)/184). Let b = q + -52. Let u = 38 + b. Solve 13 = -u*n - 3*z, -10 = 2*n - 3*z - 3 for n. -5 Suppose -m + 7 = 4*h + 20, -4*m = 3*h. Solve 5*w - f = 2*w + 6, w - 2*f + m = 0 for w. 3 Suppose 5*t = -2*q + 6, -13*t + q + 0 = 3. Solve -2*i - 38 = 3*z - 13, -3*z + i - 10 = t for z. -5 Let h(q) = -14*q - 9. Let p be h(-1). Suppose 2*a = p*l - 19, 0 = -3*l + 4*a + 10 + 7. Solve -4*t + l*b + 9 = -t, -4*t + 12 = -b for t. 3 Suppose 43*z + 3 = -11*z + 327. Solve -2*l = -z, 4*m + 5*l + 0*l - 11 = 0 for m. -1 Let r be (-2 + -8)*2*(87/12)/(-29). Solve -13*f = -11*f - r*k + 22, -f - 17 = -4*k for f. -1 Suppose 3*j - q = 38 + 20, 0 = j - 4*q - 45. Solve 0 = -3*u + 10*g - 6*g + j, 0 = 5*g + 25 for u. -1 Let s be 2/5 + (-968)/(-55). Let h(l) = -l**2 + 18*l + 15. Let k be h(s). Solve w - g - 3 = -0*w, 3*w - 5*g - k = 0 for w. 0 Let j = -86 - -42. Let z be j/6*6/(-4). Let k be ((-2)/(-6))/(z/231). Solve -5*b = f + 7, b - 2*b - 3*f = k for b. -1 Let b be (4/6)/(217/651). Solve -5*j - 4*h + b = -5, 4*h = -2*j - 2 for j. 3 Let y = 3 - 7. Let x be ((-6)/y)/((-3)/(-10)). Suppose -x*h + 23 = 4*g, 2*g - 5*g + h = -3. Solve g*d = 0, 3*k - 4 - 5 = 5*d for k. 3 Let m be 2/5 + (-22)/5. Let j be 1/m - (-18)/8. Let g(f) = 44754*f + 44759. Let u be g(-1). Solve j*z + 4*h + h = -12, u*h = 2*z - 8 for z. -1 Suppose -2*j - 2*a - 4 = -16, 0 = -j + 2*a + 15. Solve 2*b - 5*l - 4 + j = 0, b + l = -6 for b. -5 Suppose 0 = -99*k + 63*k + 108. Solve y = -2*c - 2*y + 16, -k*c + 4*y - 10 = 0 for c. 2 Let s be -6*((-72)/16 + 4). Suppose -5*w + s*i - 1 = -7, -3*w - 8 = 4*i. Solve w = -5*g - l + 16, -5*l + 1 - 5 = -3*g for g. 3 Let m be 1 - (-2)/(0 + 2). Suppose -9*v = 18 - 117. Suppose 6 = v*s - 49. Solve r - 9 = m*q, s*q = 5*r - 38 + 13 for q. -4 Let y(w) = w**2 - 161*w + 479. Let d be y(3). Solve 0 = n - d*f + 21, 9*n + 5*f - 18 = 7*n for n. -1 Let f be 5187/342 + 4/(-24). Solve 59*y + 9 = r + 58*y, -3*y = f for r. 4 Suppose 24 = 4*s - 2*p, -25*s = -20*s - p - 36. Solve -3*c = 5*l + 16, 4*l + 6 + s = -2*c for l. -5 Let n = -86 + 121. Suppose -j - 2*h - 5 = -5*h, 0 = 2*h - 10. Suppose j*z + 2 = 52. Solve -z*q - n - 10 = 5*c, -c = 4*q + 21 for q. -4 Suppose 25 = 76*d - 127. Suppose 15*w = -10 + 70. Suppose 5*g - 3*g - 32 = 0. Solve w*s = -4*p + g, -4*s - 1 = d*p - 15 for p. 1 Let o(p) = -p**3 - 3*p**2 + 3*p + 2. Let v be o(-4). Suppose 23*y - 65 - 24 = 3. Solve 16 = -y*m, f - m + v = 3*f for f. 5 Suppose 4*j - 56 = 4*d, 21*j - 20*j - 30 = -3*d. Let v = j + -16. Solve v*x - 8 = -5*w, 3*x - 7*x - w = -16 for x. 4 Let r = -176 + 188. Suppose 0 = -29*z + r*z + 34. Solve z*x + 2*c = 4, -2*x - 3*c - 11 = -4*c for x. -3 Let d(j) = -j**3 + 4*j**2 - j + 1. Let y be d(3). Let b be 4 + 32/(-5 + y). Solve 3*x = -3*c + 6, 5*c - 4*x = -3*x - b for c. -3 Suppose z + 26*f = 30*f + 33, -2*z + 4*f + 42 = 0. Solve -v + z = 3*v - 3*k, 0 = -v + 2*k + 1 for v. 3 Let y(g) = 3*g**3 + 194. Let u be y(0). Let w = -179 + u. Solve 5*z + 5*n + w = 0, -3*z + 19 = -5*n + n for z. 1 Suppose k + 3*v - 223 = -200, -4*k + 5*v = 27. Let r be (-1)/(-1 + 20/21). Suppose k*y = r - 17. Solve -3*c = 2*c - y*f - 17, 0 = -3*f - 3 for c. 3 Let j(d) = d**2 - 9*d - 13. Let i be j(11). Suppose 3 = -i*g + 30. Suppose -2 = -g*a + 4. Solve -s = -2*q + 12, -3*q + 15 = -a*q - 5*s for q. 5 Suppose 1231 = -4*i - 0*z - z, z = 5*i + 1532. Let q = 307 + i. Solve u + g = -q*g - 3, -3*u = 2*g + 8 for u. -2 Let k be -11 - 8/6*1482/(-76). Solve 0 = -3*m - n + k, -6 = 3*m - 5*n - 3 for m. 4 Let r = -2199 + 2202. Solve -y = t - 5, -8*y = -r*y - 10 for t. 3 Let n(k) = -2*k**3 - 5*k**2 - 4*k + 6. Let m be n(-3). Let y = -8 + m. Let l be ((-4)/8)/(1/(-4)). Solve l*a - 14 = -3*q, -3*a + y = 4*q - 0*a for q. 4 Let i(b) = -90*b - 270. Let w be i(-3). Solve 4*o = 2*o + 2*f + 10, 2*o + f - 7 = w for o. 4 Let q(b) = -1348*b - 8083. Let o be q(-6). Solve d + t = 3, -20*d + 19*d = -o*t - 3 for d. 3 Let l(h) = 2*h**2 + h - 1. Let y(u) = -18*u + 16. Let p be y(1). Let s be l(p). Solve -4*g - a - 2*a = 8, -s*g - 9 = 4*a for g. -5 Let i = 9847 - 9845. Solve 2*c - 19 = -x - 17, -i*x + 6 = 5*c for c. 2 Let z = 311 + -308. Let s(x) = -2*x**2 - 36*x - 104. Let t be s(-14). Solve 0 = z*l - 3*i - 3, 3*l = t*l - i + 11 for l. -3 Suppose h - 190 = 39*h. Let i(w) = -22*w - 109. Let t be i(h). Solve -3*c + t = -4*u + 18, -5*c + 2*u - 19 = 0 for c. -3 Let c = -4 + 16. Let b be 22/(-3)*c/(-4). Suppose -4*n = -15*n + b. Solve 2 - 3 = 5*m - n*f, -5 = 3*m + f for m. -1 Suppose 217*d +
{ "pile_set_name": "DM Mathematics" }
p*f - 9. Let t(x) = f*k(x) - 3*h(x). Let q(d) = 4*d. Give t(q(g)). 16*g Let h(l) = -920*l. Let t(j) = 7760*j + 3. Give t(h(c)). -7139200*c + 3 Let a(v) = -v. Let i(d) = 110852*d - 3. What is a(i(s))? -110852*s + 3 Let p(r) = -r**2. Suppose 2*d + 2*c + 16 = 0, -4*d - 20 = -0*d + c. Let h(y) = 70*y + 6. Let m(u) = -138*u - 10. Let v(s) = d*m(s) - 7*h(s). Give v(p(k)). -62*k**2 - 2 Let b(a) = 243*a. Let w(r) = 2*r**2 - 11*r - 1. Let h(k) = -33*k**2 + 121*k + 11. Let j(l) = -h(l) - 11*w(l). Calculate j(b(f)). 649539*f**2 Let h(w) = 3*w**2 + 533. Let f(x) = 2 + 74*x**2 + 71*x**2 - 148*x**2 - 2. What is f(h(l))? -27*l**4 - 9594*l**2 - 852267 Let u(s) = -s**2. Let k(v) be the first derivative of 7*v**3 + v**2 + 7*v - 3409. Give k(u(n)). 21*n**4 - 2*n**2 + 7 Let v(z) = -4*z**2. Let r(b) be the second derivative of -17*b**4/12 - 187*b**2 - 2*b - 35. Let j(x) = -2. Let k(a) = 374*j(a) - 2*r(a). Give k(v(h)). 544*h**4 Let x = -24 + 52. Let p(u) = u**2 - x + 17 + 11. Let i(l) = 5*l**2 - 6*l - 6. Let g(m) = 6*m**2 - 5*m - 5. Let h(t) = -6*g(t) + 5*i(t). Calculate h(p(y)). -11*y**4 Let c(m) = 7*m**2 + 17 + 13 - 17 + 25. Let x(d) = 4*d**2. Give x(c(r)). 196*r**4 + 2128*r**2 + 5776 Let q(j) = j - 166. Let k(i) be the third derivative of -1/30*i**5 + 0 + 0*i + 0*i**4 + 0*i**3 + 210*i**2. Determine k(q(h)). -2*h**2 + 664*h - 55112 Let r(s) = -7*s - 5*s + 9*s. Let j(u) be the third derivative of -u**5/60 + 7*u**4/24 + 24*u**2. Calculate r(j(i)). 3*i**2 - 21*i Let r(f) = -36*f + 0*f + 19*f. Let s(u) = 2*u**2 - 22*u - 32. Let w be s(-14). Let x(p) = p - p - 667*p**2 + w*p**2. Calculate x(r(g)). 289*g**2 Let x(f) = -12*f + 109*f**2 + 12*f - 135*f**2. Let i(t) = 103 + 2*t - 103. Determine x(i(c)). -104*c**2 Let k(v) = v + 28. Let h(y) = -7*y - 140. Let n(a) = h(a) + 5*k(a). Let x(l) be the first derivative of 6*l**2 + 1. Give x(n(g)). -24*g Let q(j) = 21*j**2. Let f(x) = -872144*x**2. Calculate q(f(p)). 15973338291456*p**4 Let c(t) = -87682*t. Let w(j) = -1247*j**2. What is c(w(s))? 109339454*s**2 Let j(n) = 110 - 52 - 5*n**2 - 58. Let k be (-64)/12*117/(-4). Let i(z) = -79*z + k*z - 80*z. What is j(i(f))? -45*f**2 Let q(l) = -2*l. Let b(n) = -16*n**2 + 1. Let k(s) = 142*s**2 - 7*s - 4. Let g(j) = 4*b(j) + k(j). Calculate g(q(t)). 312*t**2 + 14*t Let s(j) = 80842*j**2 - 6. Let g(b) = -117*b**2. What is s(g(i))? 1106646138*i**4 - 6 Let u(l) = l - 7. Suppose -g = -b - 1, 0 = -4*g + 9*b - 13*b + 12. Let c(f) = -f + 0*f - g*f + 0*f + 2*f. Give u(c(v)). -v - 7 Let w = -27 - -29. Let x(r) = -2 + 7 + w*r - 4 - r. Let s(m) = 4*m + 3. Let p(j) = -2*s(j) + 6*x(j). Let v(z) = -18*z**2. Give p(v(h)). 36*h**2 Let s(m) = 25968*m. Let h(w) = -1652*w**2. Calculate h(s(z)). -1114004763648*z**2 Let b(x) = -x**3 + 19*x**2 - 59*x - 13. Let v be b(15). Let u(d) = -15840 + 4*d**v + 15840. Let n(z) = 19*z. Determine u(n(h)). 1444*h**2 Let a(n) be the first derivative of -13*n**3/3 - 148. Let j(b) = -36367 + 36367 + 13*b**2. What is j(a(k))? 2197*k**4 Let y(j) = -44003168*j. Let d(q) = 2*q**2. Calculate y(d(x)). -88006336*x**2 Let u(o) = 7*o + 6. Let g(v) = -77591*v + 1. Determine g(u(t)). -543137*t - 465545 Let m(p) = 84*p + 15. Let n(b) = -12*b - 2. Let s(y) = -2*m(y) - 15*n(y). Let o(c) = -63*c**2 + 31*c**2 - 15 + 33*c**2 + 15. What is s(o(f))? 12*f**2 Let s(z) = z + 5. Let n(g) = 2*g + 14. Let d(l) = 5*n(l) - 14*s(l). Suppose -j = -8*j + 14. Let y(o) = 23*o + j - 2 - 19*o. What is y(d(c))? -16*c Let u(v) = 172*v + 105*v + 59*v + 33*v + 16*v. Let s(b) = 3*b. Determine u(s(m)). 1155*m Let a(g) = -6035*g**2 + 2. Let n(q) = -33*q - 28*q - 23*q - 28*q + 113*q. Determine a(n(l)). -6035*l**2 + 2 Let j(h) be the second derivative of h**4/24 - 4*h**2 - 10*h. Let g(x) be the first derivative of j(x). Let f(n) = 9*n**2 - 6*n**2 + 2*n**2. Give g(f(w)). 5*w**2 Let p(u) = 6407355*u**2. Let z(w) = w**2 + 18. Give z(p(k)). 41054198096025*k**4 + 18 Suppose 3*o - 27 = 9. Let v(j) = -15*j**3 - 12*j + 15. Let r be v(-5). Let x(z) = o*z**2 - r*z + 1950*z. Let t(b) = 3*b**2. Give x(t(s)). 108*s**4 Let r(p) = -110*p. Let g(x) = -34*x + 102. Let f(i) = -99*i + 289. Let k(y) = 6*f(y) - 17*g(y). Give r(k(l)). 1760*l Let h(b) = 19*b. Let m(z) = 3029634*z. What is m(h(y))? 57563046*y Let o(n) = 89*n - 328*n - 230*n - 11*n. Let b(s) = 2*s. Give o(b(m)). -960*m Let o(n) be the second derivative of -n**4/6 + 18*n**2 - 27429*n. Let p(c) = -2*c + 3 - 3. What is o(p(k))? -8*k**2 + 36 Let l(v) = -523*v + 314. Let t(f) = 131*f - 82. Let d(u) = -6*l(u) - 23*t(u). Let a(i) = -14*i. Give d(a(j)). -1750*j + 2 Let d(m) = 49*m**2. Let h(u) = 9*u + 33. Let b(i) = 7*i + 29. Let a(j) = 4*b(j) - 3*h(j). Calculate d(a(p)). 49*p**2 + 1666*p + 14161 Let o(a) = -8*a. Let g(s) = 6*s - 70. Let k be g(12). Let f(u) = 18*u**2 - 41*u**2 + 3*u**k + 25*u**2 + 19*u**2. What is o(f(b))? -192*b**2 Let j(w) = -w**2 + 3349. Let u(g) = -384*g**2. Give j(u(s)). -147456*s**4 + 3349 Let g(r) = 145*r**2 + 3*r + 4. Let n be g(-2). Let i(p) = -4*p**2 - n - p**2 + 578. Let t(u) = -13*u**2. Give t(i(w)). -325*w**4 Let a(j) = -4*j. Let y(t) = -9*t**2 - 7. Let m be -6 + (-15)/20*-12. Let p(i) = 5*i**2 + 3. Let v(f) = m*y(f) + 7*p(f). Give v(a(x)). 128*x**2 Let a(x) = -2*x. Let p(n) be the first derivative of n**2 + 342 - 8*n**2 - 11*n**2 - 48. Calculate p(a(z)). 72*z Let c(i) = -2*i**2. Let v(s) = 8*s - 10. Let d(p) = -p + 1. Let y(h) = 6*d(h) + v(h). Let f be y(3). Let k(g) = 2990*g + f - 2 - 2986*g. What is c(k(m))? -32*m**2 Let x(h) = h - 3. Let c(s) = 4*s - 8. Let g be 0 + (-73)/9 + (-1)/(-9). Let j(p) = g*x(p) + 3*c(p). Let o(k) = -2*k**2. Calculate o(j(y)). -32*y**2 Let w(a) = -34*a + 5. Let y(c) = -783*c + 116. Suppose -21*s - 116 = -20*s. Let f(l) = s*w(l) + 5*y(l). Let p(z) = -6*z**2. Give f(p(h)). -174*h**2 Let n(a) = -27*a**2. Let k(q) = -39*q**2 - 16*q - 24. Let t(v) = -v**2 + 2*v + 3. Let y(z) = k(z) + 8*t(z). Calculate y(n(c)). -34263*c**4 Let b(x) = -1283*x. Let l(t) = -6084*t**2. Determine b(l(o)). 7805772*o**2 Let h(i) = -67*i**2. Suppose -4*z = -18 + 6. Let a(r) = -22*r**2 - z*r + 19*r**2 - r + 4*r. Give h(a(y)). -603*y**4 Let f(i) = -22226278*i**2 + 3. Let o(q) = q. Determine o(f(g)). -22226278*g**2 + 3 Let b(q) = 2*q**2. Let z(s) be the second derivative of -109*s**6/240 + 287*s**4/12 + 5*s + 4. Let u(o) be the third derivative of z(o). What is b(u(m))? 213858*m**2 Let u(w) = 59*w. Let m(i) = i + 4. Let r(c) = 2*c + 11 + 0 - 4. Let g = 8606 - 8610. Let f(s) = g*r(s) + 7*m(s). Give f(u(o)). -59*o Let v(n) = 30*n**2 - 42075. Let g(a) = -4*a**2. Calculate v(g(y)). 480*y**4 - 42075 Let t(s) = 945*s + 1. Let u(v) = 2*v**2 + 72*v + 27. Let b(c) = c**2 + 32*c + 12. Let a(m) = -9*b(m) + 4*u(m). Calculate a(t(z)). -893025*z**2 - 1890*z - 1 Let i(f) = 1561*f**2. Let d(z) = 20*z - 7. Let j(p) = -14*p + 5. Let a(w) = 5*d(w) + 7*j(w). What is a(i(q))? 3122*q**2 Let p(v) = 15*v + 53752. Let y(w) = 10*w. Calculate y(p(z)). 150*z + 537520 Let y(t) = 23*t + 3. Let k(i) = -31*i - 4. Let o(a) = -6*k(a) - 8*y(a). Let l(f) = 918*f. What is o(l(v))? 1836*v Let v(z) be the third derivative of -z**5/30 + 4678*z**2. Let x(o) = 2816*o. Calculate x(v(p)). -5632*p**2 Let u(g) = 38*g**2 + 46*g**2 - 158*g**2 + 43*g**2 + 33*g**2. Let c(n) = -24586*n. Calculate c(u(o)). -49172*o**2 Let p(m) be the second derivative of -6*m**3 - 31*m. Let v(t) be the third derivative of t**4/12 + 10*t**2. Give v(p(s)). -72*s Let x(o) be the first derivative of -2*o**3/3 - 7. Let j(p) = 2*p**2 + 14*p - 1. Let h(z) = 33*z**2 + 70*z - 5. Let k(b) = -h(b) + 5*j(b). What is k(x(i))? -92*i**4 Let z(p) = -5*p**2 + 33. Let s(v) = -22353*v**2. Give z(s(w)). -2498283045*w**4 + 33 Let f(s) be the first derivative of 2*s**4/3 + 501*s**2/2 + 385. Let c(k) be the second derivative of f(k). Let a(x) = 0 + 0 - x. Give c(a(h)). -16*h Let o(u) = -u**2. Let b(r) = 239573365*r**2. Give o(b(m)). -57395397217423225*m**4 Let n(t) = 2*t. Let i(l) = -2547*l + 7651*l - 2549*l + 270*l**2 - 2552*l. Determine n(i(r)). 540*r**2 + 6*r Let c(i) = 18*i**2 + 9*i**2 - 4*i**2 - 6*i**2. Let m be ((-1)/2)/(3/(-12)). Let o(l) = -l**2 + 0*l**2 - l**m + l**2. Determine o(c(d)). -289*d**4 Let n(b) = -832*b**2. Let c(x) = -37*x - 12. Let h(t) = -78*t - 26. Let m(k) = 13*c(k) - 6*h(k). Determine n(m(i)). -140608*i**2 Let a(
{ "pile_set_name": "DM Mathematics" }
y minutes are there between 6:59 PM and 11:25 PM? 266 What is 583 minutes before 6:33 AM? 8:50 PM How many minutes are there between 5:36 AM and 11:17 AM? 341 How many minutes are there between 11:33 AM and 8:01 PM? 508 What is 158 minutes after 7:59 PM? 10:37 PM What is 36 minutes before 3:23 AM? 2:47 AM How many minutes are there between 7:07 PM and 6:22 AM? 675 How many minutes are there between 10:08 AM and 11:59 AM? 111 How many minutes are there between 10:44 PM and 6:03 AM? 439 What is 657 minutes before 9:48 AM? 10:51 PM What is 458 minutes after 11:31 AM? 7:09 PM What is 707 minutes after 7:55 AM? 7:42 PM What is 39 minutes before 9:38 AM? 8:59 AM What is 623 minutes after 7:06 PM? 5:29 AM How many minutes are there between 11:45 AM and 12:25 PM? 40 What is 419 minutes after 12:50 AM? 7:49 AM How many minutes are there between 7:09 PM and 10:10 PM? 181 What is 667 minutes after 11:06 PM? 10:13 AM What is 546 minutes after 8:19 PM? 5:25 AM How many minutes are there between 8:43 PM and 3:25 AM? 402 What is 700 minutes before 2:53 PM? 3:13 AM What is 517 minutes after 12:13 AM? 8:50 AM What is 373 minutes after 3:27 AM? 9:40 AM How many minutes are there between 9:00 PM and 12:24 AM? 204 How many minutes are there between 10:51 PM and 10:31 AM? 700 How many minutes are there between 2:06 AM and 3:43 AM? 97 What is 296 minutes before 7:23 PM? 2:27 PM How many minutes are there between 4:15 PM and 7:44 PM? 209 What is 92 minutes before 1:22 PM? 11:50 AM How many minutes are there between 7:24 PM and 8:18 PM? 54 What is 446 minutes before 1:31 AM? 6:05 PM What is 98 minutes before 1:40 AM? 12:02 AM How many minutes are there between 5:51 PM and 12:31 AM? 400 How many minutes are there between 4:33 PM and 3:36 AM? 663 How many minutes are there between 6:47 AM and 6:15 PM? 688 What is 505 minutes after 4:37 AM? 1:02 PM How many minutes are there between 1:04 AM and 11:40 AM? 636 What is 223 minutes before 9:55 PM? 6:12 PM How many minutes are there between 9:14 AM and 1:11 PM? 237 What is 354 minutes before 2:22 PM? 8:28 AM How many minutes are there between 2:02 PM and 12:32 AM? 630 What is 473 minutes before 3:57 PM? 8:04 AM What is 539 minutes after 8:15 AM? 5:14 PM What is 11 minutes after 3:43 PM? 3:54 PM What is 663 minutes before 7:15 PM? 8:12 AM How many minutes are there between 1:52 AM and 6:02 AM? 250 What is 295 minutes before 7:56 AM? 3:01 AM How many minutes are there between 9:54 AM and 2:05 PM? 251 How many minutes are there between 8:09 PM and 7:49 AM? 700 What is 458 minutes after 12:27 PM? 8:05 PM How many minutes are there between 2:21 PM and 6:55 PM? 274 What is 156 minutes before 7:01 PM? 4:25 PM What is 152 minutes before 7:36 AM? 5:04 AM How many minutes are there between 8:14 AM and 5:34 PM? 560 What is 493 minutes after 3:15 PM? 11:28 PM How many minutes are there between 4:02 AM and 7:24 AM? 202 What is 298 minutes before 1:14 PM? 8:16 AM How many minutes are there between 12:40 AM and 1:56 AM? 76 How many minutes are there between 10:52 PM and 1:11 AM? 139 What is 420 minutes after 2:37 PM? 9:37 PM How many minutes are there between 4:59 AM and 11:12 AM? 373 What is 158 minutes after 7:09 AM? 9:47 AM How many minutes are there between 4:11 AM and 10:27 AM? 376 What is 576 minutes before 3:11 PM? 5:35 AM What is 376 minutes before 8:21 PM? 2:05 PM How many minutes are there between 2:51 AM and 11:19 AM? 508 What is 327 minutes after 9:10 AM? 2:37 PM What is 406 minutes before 4:52 PM? 10:06 AM How many minutes are there between 1:07 PM and 1:40 PM? 33 How many minutes are there between 2:23 AM and 4:29 AM? 126 How many minutes are there between 9:08 PM and 3:22 AM? 374 What is 62 minutes after 7:47 AM? 8:49 AM What is 400 minutes after 8:36 PM? 3:16 AM What is 444 minutes before 12:43 AM? 5:19 PM What is 624 minutes before 4:03 AM? 5:39 PM What is 535 minutes before 11:58 PM? 3:03 PM How many minutes are there between 4:38 AM and 12:40 PM? 482 How many minutes are there between 4:20 AM and 2:25 PM? 605 How many minutes are there between 4:11 PM and 1:20 AM? 549 What is 459 minutes after 5:37 PM? 1:16 AM What is 430 minutes after 2:56 PM? 10:06 PM How many minutes are there between 4:26 PM and 3:36 AM? 670 What is 669 minutes before 12:30 PM? 1:21 AM How many minutes are there between 7:31 PM and 9:08 PM? 97 How many minutes are there between 10:15 PM and 12:37 AM? 142 How many minutes are there between 6:36 PM and 11:39 PM? 303 How many minutes are there between 10:13 AM and 8:09 PM? 596 How many minutes are there between 3:51 AM and 8:16 AM? 265 How many minutes are there between 11:38 AM and 6:42 PM? 424 What is 63 minutes before 11:13 PM? 10:10 PM What is 238 minutes after 8:54 AM? 12:52 PM What is 491 minutes before 7:45 AM? 11:34 PM How many minutes are there between 1:45 AM and 7:29 AM? 344 What is 677 minutes before 10:41 PM? 11:24 AM How many minutes are there between 6:43 AM and 5:22 PM? 639 What is 6 minutes after 12:55 AM? 1:01 AM What is 130 minutes after 4:28 PM? 6:38 PM How many minutes are there between 8:40 AM and 2:04 PM? 324 How many minutes are there between 2:20 PM and 6:40 PM? 260 What is 468 minutes after 11:58 AM? 7:46 PM What is 448 minutes before 4:15 PM? 8:47 AM What is 286 minutes after 8:07 PM? 12:53 AM How many minutes are there between 10:02 PM and 2:32 AM? 270 What is 672 minutes after 5:34 AM? 4:46 PM What is 19 minutes after 6:05 AM? 6:24 AM What is 681 minutes after 7:46 PM? 7:07 AM What is 700 minutes before 5:24 AM? 5:44 PM What is 492 minutes after 9:50 PM? 6:02 AM How many minutes are there between 5:54 AM and 5:09 PM? 675 How many minutes are there between 4:19 AM and 2:43 PM? 624 How many minutes are there between 6:33 PM and 1:27 AM? 414 What is 107 minutes before 5:42 AM? 3:55 AM How many minutes are there between 8:59 AM and 4:18 PM? 439 How many minutes are there between 3:48 PM and 8:53 PM? 305 How many minutes are there between 4:52 PM and 8:48 PM? 236 What is 274 minutes after 8:40 PM? 1:14 AM How many minutes are there between 4:19 PM and 6:27 PM? 128 How many minutes are there between 1:46 PM and 2:57 PM? 71 How many minutes are there between 5:21 PM and 11:03 PM? 342 How many minutes are there between 10:15 AM and 1:02 PM? 167 How many minutes are there between 6:18 PM and 8:35 PM? 137 What is 501 minutes before 10:34 AM? 2:13 AM How many minutes are there between 9:32 PM and 12:18 AM? 166 What is 530 minutes before 6:40 AM? 9:50 PM What is 11 minutes before 10:14 AM? 10:03 AM What is 424 minutes after 4:47 AM? 11:51 AM How many minutes are there between 9:58 PM and 5:40 AM? 462 How many minutes are there between 4:01 PM and 3:04 AM? 663 What is 573 minutes after 5:47 AM? 3:20 PM What is 689 minutes before 3:05 PM? 3:36 AM What is 715 minutes before 11:04 PM? 11:09 AM How many minutes are there between 5:08 AM and 3:54 PM? 646 What is 322 minutes after 4:47 AM? 10:09 AM What is 194 minutes before 6:57 PM? 3:43 PM What is 591 minutes after 8:02 AM? 5:53 PM What is 611 minutes before 8:24 AM? 10:13 PM What is 9 minutes before 2:59 AM? 2:50 AM What is 641 minutes after 11:07 AM? 9:48 PM How many minutes are there between 9:20 AM and 1:20 PM? 240 What is 231 minutes after 2:54 PM? 6:45 PM What is 154 minutes after 11:06 PM? 1:40 AM What is 53 minutes after 4:51 AM? 5:44 AM How many minutes are there between 6:32 PM and 4:31 AM? 599 What is 474 minutes after 11:14 PM? 7:08 AM How many minutes are there between 6:35 PM and 2:21 AM? 466 What is 344 minutes after 2:09 AM? 7:53 AM What is 56 minutes before 7:06 PM? 6:10 PM What is 482 minutes before 8:00 AM? 11:58 PM How many minutes are there between 8:35 AM and 2:20 PM? 345 What is 36 minutes after 1:33 PM? 2:09 PM What is 238 minutes after 6:42 PM? 10:40 PM What is 360 minutes before 7:00 PM? 1:00 PM How many minutes are there between 3:06 AM and 8:38 AM? 332 What is 702 minutes after 1:34 AM? 1:16 PM What is 543 minutes after 9:35 PM? 6:38 AM What is 473 minutes after 10:41 PM? 6:34 AM What is 235 minutes after 4:34 PM? 8:29 PM What is 703 minutes after 10:08 PM? 9:51 AM What is 300 minutes after 2:42 AM? 7:42 AM What is 618 minutes after 10:21 PM? 8:39 AM How many minutes are there between 11:59 PM and 2:32 AM? 15
{ "pile_set_name": "DM Mathematics" }
(l(k)). -k**2 Let t be (-5)/(-2) - (-9)/6. Let y be -1 + 5 + (3 - t). Let c(u) = y + 16*u - 3 - 18*u. Let o(p) = -4*p**2. What is o(c(h))? -16*h**2 Let y(m) = -3*m. Let k(s) be the second derivative of 0 + 0*s**2 + 0*s**3 - 2*s + 1/12*s**4. What is k(y(w))? 9*w**2 Let x(l) = -10*l. Let s(u) = u. Let c(a) = 18*s(a) + 2*x(a). Let g(v) = 2*v - 8. What is g(c(q))? -4*q - 8 Let t(s) = 3*s. Let c(i) be the third derivative of 3*i**4/4 + 23*i**2. What is c(t(a))? 54*a Let q(p) = -p**2. Let b(v) = 10746*v**2. Determine q(b(g)). -115476516*g**4 Let g(s) = 220*s**2. Let j(q) = 2*q. Determine j(g(l)). 440*l**2 Let v(x) = x. Let w(a) = 59*a**2. Calculate w(v(z)). 59*z**2 Let x(b) = -2*b**2. Let l(y) = 122*y. What is l(x(k))? -244*k**2 Let r(q) = 0*q + q**2 + 0*q. Let g(j) = -3*j + 5. Let h(y) = -2*y + 3. Let p(m) = 3*g(m) - 5*h(m). Determine r(p(w)). w**2 Let x(r) be the third derivative of -2*r**2 + 0 + 0*r**3 + 1/60*r**5 + 0*r + 0*r**4. Let h(t) = -3*t. Give x(h(f)). 9*f**2 Let w(s) be the third derivative of -s**5/60 + 3*s**2. Let h(p) = 2*p - 4*p + 3*p. Calculate h(w(o)). -o**2 Let v(u) = -5*u**2 - 4. Let n(y) = -y**2 - 1. Let m(t) = -4*n(t) + v(t). Let s(k) = -2*k - 7. What is s(m(r))? 2*r**2 - 7 Let c(p) be the second derivative of -p**4/12 - 5*p. Let a(y) = -6*y. What is a(c(u))? 6*u**2 Let g(k) = 21 + 17 - 38 - 4*k**2. Let n(v) = -7*v**2. Give n(g(m)). -112*m**4 Suppose -18 - 2 = 4*v. Let g(j) = -6*j**2 + 5*j + 5. Let m(y) = -6*y - 1 + 4 - 9 + 7*y**2. Let u(i) = v*m(i) - 6*g(i). Let b(z) = -3*z. Give u(b(t)). 9*t**2 Let y(l) be the second derivative of l**3/3 - 9*l**2/2 - 12*l + 1. Let o(d) = 2*d**2. What is o(y(i))? 8*i**2 - 72*i + 162 Let p(j) = 2*j. Let a(r) be the second derivative of 0*r**2 - 5*r + 0 + 1/3*r**3. Determine p(a(i)). 4*i Let u(d) = -55*d**2 + 26*d**2 + 27*d**2. Let h(l) = 11*l. Give h(u(r)). -22*r**2 Let n(w) be the third derivative of -w**4/8 - 4*w**2. Let g(o) = o. What is n(g(m))? -3*m Let n(p) be the third derivative of -p**5/12 + 3*p**2. Let k(d) = 7*d**2. What is n(k(h))? -245*h**4 Let a(y) = -5*y + 2*y + 2*y + 0*y. Let o(w) = -16*w - 4. Give o(a(t)). 16*t - 4 Let j(b) be the second derivative of -5*b**4/2 - 61*b. Let r(v) = -2*v**2. Give r(j(g)). -1800*g**4 Let q(s) = -3*s**2. Let f(r) = 344*r**2. Give q(f(a)). -355008*a**4 Let t(s) = -s**2. Let f(q) = 2962*q. Determine t(f(v)). -8773444*v**2 Let i(o) be the first derivative of 2*o**2 + 7. Let b(r) = -2*r. What is b(i(s))? -8*s Let g(w) = 10*w - 11. Let x(o) = -7*o**2. What is x(g(z))? -700*z**2 + 1540*z - 847 Let j(w) be the second derivative of -w**3/6 - 17*w. Let p(b) = 4*b**2 + 0 + 0. Calculate j(p(y)). -4*y**2 Let p(u) = 2*u**2 + u**2 - 5*u**2. Let c(f) = -2*f - 3. Let v(w) = w + 2. Let a(l) = 2*c(l) + 3*v(l). Give a(p(x)). 2*x**2 Let r(b) = -4*b. Let z(d) = -545*d. Give r(z(a)). 2180*a Let w(o) = -4*o**2 - 12. Let z(u) = -2*u. Give w(z(g)). -16*g**2 - 12 Let i(h) = 2*h**2. Let j(u) be the first derivative of -24*u**3 - 13. Give i(j(d)). 10368*d**4 Let u(k) = -2*k**2. Let i(p) = 244*p**2. Calculate i(u(b)). 976*b**4 Let r(h) = 3*h - 5. Let g(z) = -6*z**2. Determine g(r(w)). -54*w**2 + 180*w - 150 Let q(p) = -p**2. Let c(m) = -83*m - 2. Let n(i) = 23490*i + 567. Let b(k) = -567*c(k) - 2*n(k). What is b(q(g))? -81*g**2 Suppose 4*w = k + 15, -3*k + k - 21 = -5*w. Let c(i) = 3*i**2 - 3. Let f(a) = 3*a**2 - 4. Let d(m) = k*f(m) + 4*c(m). Let o(x) = -4*x**2. Calculate o(d(q)). -36*q**4 Let y(t) = 20*t. Let b(s) = -4*s. Let r(f) = -3*f. Let o(k) = -2*b(k) + 3*r(k). Determine o(y(n)). -20*n Let s(r) = -4*r + 23. Let w(z) = -3*z. Give s(w(u)). 12*u + 23 Let v be (12/15)/((-2)/(-5)). Let u(k) = -k + v*k + k. Let n(c) = -8*c. Let p(m) = 7*m. Let r(s) = 6*n(s) + 7*p(s). Give u(r(d)). 2*d Let g(q) = 18*q. Let u(n) = 111*n**2. Determine g(u(y)). 1998*y**2 Let o(x) = -2253*x**2 + 0 + 2251*x**2 + 0. Let h(r) = 9*r**2 - 3. Let n(s) = 26*s**2 - 8. Let w(k) = 8*h(k) - 3*n(k). What is o(w(y))? -72*y**4 Suppose 0 = u + 4, 0*i - 5*u + 180 = 5*i. Let n(v) = 8*v**2 + 3*v. Let g(d) = 105*d**2 + 40*d. Let y(t) = i*n(t) - 3*g(t). Let s(h) = -h**2. What is s(y(b))? -25*b**4 Let a(h) = 19*h**2 + 89 - 61*h**2 - 89. Let q(u) = -2*u**2. What is q(a(m))? -3528*m**4 Let s(h) = 6*h**2. Let w(q) = 10*q. Give s(w(t)). 600*t**2 Let k(h) = 66*h - 2. Let z(s) = 3*s**2 + 2. Give k(z(r)). 198*r**2 + 130 Let l(n) = -6*n + 2*n**2 + 6*n. Let k(o) be the first derivative of 4*o**3/3 + 3. Give l(k(g)). 32*g**4 Let x(c) = -3*c**2. Let n(q) = -62*q + 7. Let f(z) = 31*z - 4. Let k(v) = 7*f(v) + 4*n(v). Determine k(x(s)). 93*s**2 Let t(q) = 2*q. Let j be (-1 - -1) + 2 + 0. Let z(x) = x + 3*x + 2 - j. Calculate t(z(a)). 8*a Let h(d) = -d + 3. Let v(j) = 3 - 3 + 3 - 1. Let l(x) = 2*h(x) - 3*v(x). Let n(b) = -2*b. Determine n(l(k)). 4*k Let g(i) = i. Let c(z) = 974*z**2. Give c(g(u)). 974*u**2 Let i(c) be the third derivative of c**8/20160 + c**5/15 - 4*c**2. Let b(g) be the third derivative of i(g). Let t(h) = h**2. Determine t(b(l)). l**4 Let u(s) = 3*s**2. Let t(f) be the first derivative of -2*f**3/3 + 5. Give u(t(b)). 12*b**4 Let c(b) = b**2 - 6*b + 6*b. Let x(q) be the first derivative of -2 + 1/3*q**3 + 0*q**2 + 0*q. What is c(x(w))? w**4 Let p(c) = -c**2 + 2*c**2 + 2*c**2. Let a(n) be the third derivative of n**6/180 + n**3/3 + 4*n**2. Let y(b) be the first derivative of a(b). What is p(y(x))? 12*x**4 Let s(o) = 3*o**2. Let m(v) = 850*v. Determine s(m(p)). 2167500*p**2 Let k(y) be the second derivative of -y**3/3 - 3*y. Let d(m) = 2*m**2. What is k(d(q))? -4*q**2 Let w(a) = -3*a. Let g(y) = -y + 12. Let o be g(9). Let s(z) = -2*z - o + z + 6. Let q(x) = 4*x - 11. Let n(b) = 6*q(b) + 22*s(b). Give n(w(j)). -6*j Let g(v) be the second derivative of 2*v**3/3 + v - 44. Let i(b) = 3*b + 2*b - 4*b. Give g(i(d)). 4*d Let y(r) = -13*r. Let d(i) = -5*i + 11. Let p(j) = j - 2. Let a(x) = -2*d(x) - 11*p(x). Calculate a(y(u)). 13*u Let m(f) = -2*f - 6. Let r(n) = 2*n + 5. Let q(a) = -5*m(a) - 6*r(a). Let z(l) = 2*l - 3. Let g(x) = -3*x + 4. Let i(y) = 3*g(y) + 4*z(y). Determine i(q(p)). 2*p Let y(l) = -4*l. Let k(g) = 40*g. Calculate y(k(i)). -160*i Let p(h) = 7*h. Let n(d) = 32*d**2. What is p(n(t))? 224*t**2 Let m(l) = -2*l**2. Let k(d) = 1433*d. Give m(k(b)). -4106978*b**2 Let t(z) = -83*z. Let g(n) = -2*n. Calculate g(t(y)). 166*y Let v(y) = -14*y**2 + 11*y**2 + 4*y**2. Let z(n) be the first derivative of -3*n**3 + 2*n**3 + 3 - 2. What is z(v(i))? -3*i**4 Let i(s) = -26*s. Let f(c) = c. What is i(f(n))? -26*n Let x(i) = -2*i. Let q(w) be the third derivative of -w**5/10 + 3*w**2 + 5*w. Calculate q(x(j)). -24*j**2 Let i(g) be the third derivative of 4/15*g**5 + 0*g**4 + 0 + 0*g + 0*g**3 - 7*g**2. Let w(q) = -2*q. What is i(w(j))? 64*j**2 Let j(n) = -594*n - 44. Let h(b) = 66*b + 5. Let t(a) = 44*h(a) + 5*j(a). Let q(v) = -2*v. Give t(q(l)). 132*l Let c(y) = -26*y**2. Let a(j) = 5*j. Determine c(a(w)). -650*w**2 Let a(n) = -2*n. Let h(v) be the first derivative of 4*v**3/3 - 10. Determine a(h(t)). -8*t**2 Let a(z) = 17*z. Let m(o) = -10*o - 14. Let x(u) = 3*u + 4. Let r(b) = -2*m(b) - 7*x(b). What is a(r(n))? -17*n Let m(c) = 8*c - 45. Let z(r) = -7*r. What is m(z(i))? -56*i - 45 Let g(h) = 9*h**2. Let z(m) = 55 - 28 + 2*m - 27. Calculate z(g(q)). 18*q**2 Let u(k) = -35*k**2 + 32*k**2 - 2 + 2. Let b(l) = -3*l. What is u(b(y))? -27*y**2 Let o(w) = 11*w**2 + 2*w**2 - 2*w**2. Let c(u) = u. Give o(c(f)). 11*f**2 Let t(w) = -w. Let f(b) = -28 + 17 + 11 - 2*b. What is t(f(r))? 2*r Let k(o) = 2*o**2. Let p(n) be the second derivative of n**7/1260 + n**4/4 + n. Let d(t) be the third derivative of p(t). Give k(d(y)). 8*y**4 Let o(w) = -1253*w. Let h(g) = -2*g**2. What is o(h(x))? 2506*x**2 Let b(x) = 5*x**2. Let g(p) = 1558*p. Determine b(g(s)). 12136820*s**2 Let y(d) be the third derivative of d**5/12 - d**2. Let h(f) = -3 + f + 3. Calculate y(h(v)). 5*v**2 Let a(k) be the second derivative of -k**3/3 - k. Let f = 5 - 2. Let v(s) = 2*s**2 - f*s**2 - s**2. Give v(a(h)). -8*h**2 Let h(x) = 2*x**2. Let u(q) = -15*q**2 + 8*q. What is u(h(i))? -60*i**4 + 16*i**2 Let t(f) = -f**2. Let w(s) = 1301*s**2. Determine t(w(b)). -1692601*b**4 Let h(o) = 3 - 5 + 5*o + 2. Let l(w) = 3*w. Determine h(l(c)). 15*c Let o(x) = -15*x + 2. Let d(q
{ "pile_set_name": "DM Mathematics" }
e 0*i = -n*i for i. 0 Suppose 6*m - 3*y - 24 = 7*m, -2*m + 4*y - 98 = 0. Let c(u) = -9*u**2 + 7*u + 1. Let p be c(5). Let v be 2/13 + p/m. Solve -v = 2*b + 3*b for b. -1 Suppose 1 = -x - 4. Let f be (1/(-3))/(x/240). Suppose 3*c + 2 - 5 = 3*m, m = -2*c + 2. Solve -5*i - f + 1 = m for i. -3 Suppose -4*c - 4*k = 8, 3 - 13 = 5*c + 4*k. Let f be (c/4)/((-1)/14). Solve -5*g - 32 = -f for g. -5 Let r(u) be the first derivative of u**4/4 - 5*u**3/3 + u**2 - 2*u - 3. Let n be r(5). Let x be n/(-12)*3 + 6. Solve x*z + 5 = 1 for z. -1 Let x = -7 - 6. Let j(g) = -g**3 - 14*g**2 - 14*g - 11. Let p be j(x). Solve p*v = 1 - 3 for v. -1 Suppose -20 = -4*u - 2*s, 2*u + 3*s = -0*s + 10. Solve 0 = -7*v + 6*v + u for v. 5 Let p(o) = o + 7. Let i(j) = -j - 6. Let g(q) = 7*i(q) + 6*p(q). Let d be g(0). Let u be (6/(-4))/((-3)/8). Solve -u = k - d for k. -4 Let q be (258/(-15))/((-12)/10 + 1). Let a = 91 - q. Solve 0 = -a*g + g - 4 for g. -1 Let b be 0 - (-4 - -10)*2. Let z = -10 - b. Suppose z*i - 5 - 1 = -2*d, 0 = i - 1. Solve d = p - 2*p for p. -2 Let r = 2 + 2. Suppose 0 = -0*y - 2*y + r. Let b be (-1)/((-2)/(-8)*-2). Solve -b*f - y = -f for f. -2 Suppose 0 = -4*b + 5*w - 8*w + 11, -4*w - 12 = 0. Solve 3*m + 2*m = b for m. 1 Let u(i) = -5*i**3 - i**2 - i. Let q be u(-1). Let c(j) = -j**3 + 12*j**2 - 11*j + 5. Let f be c(11). Solve 0 = f*o + q for o. -1 Let r = 29 + -19. Solve r*q + 46 = 16 for q. -3 Suppose 9*l + 23 = 4*k + 14*l, -l - 1 = 0. Solve 0 = 3*n + 8 + k for n. -5 Let a(w) = -w**2 + 28. Suppose 2*f - 5*q - 10 = 0, 2*q = f - 3*f - 18. Let n be a(f). Solve -n*r = -0*r - 3 for r. 1 Let u be 2/(-5) - (-2)/5. Let a(w) = -w**3 + w**2 - w - 36. Let b be a(0). Let q be -3*(-6)/b*(-12)/2. Solve -2*t + t + q = u for t. 3 Suppose 4*f + 9 = 7*f. Let h be f/(12/8 + 0). Solve q + 0 + h = 0 for q. -2 Let i(t) = -3*t + 2. Let f be i(-1). Solve 0 = -0*z + f*z - 5 for z. 1 Suppose 36*t - 24 = 40*t. Let n(h) = h**3 + 6*h**2 - h - 2. Let q be n(t). Solve 0 - q = -2*i for i. 2 Let d be ((-15)/9 + 1)*2*-6. Solve -11*a + d - 19 = 0 for a. -1 Let s = 2589 - 2573. Solve 0 = -5*i + i + s for i. 4 Let h = -170 + 176. Solve -4*z = -h*z - 2 for z. -1 Let o(x) = -x**3 - 14*x**2 - 36*x - 31. Let f be o(-11). Solve -10 - f = -3*m for m. 4 Suppose 43 = 17*r - 59. Solve -2*g - 14 + r = 0 for g. -4 Let c = 311 + -298. Solve 8*u + c = -27 for u. -5 Let r = 1495 - 1470. Solve -5 + r = -5*l for l. -4 Let j(q) = -3*q - 9. Let s be j(-4). Solve -3*g + s = -6 for g. 3 Let l = -111 + 111. Suppose l = 5*x - 15. Solve 0*k = x*k for k. 0 Let p be (-1 - -1)*(-9)/18. Solve p = 5*u - 15 - 10 for u. 5 Suppose -4*q + 5*q - 3*a - 5 = 0, -4*q = 2*a - 6. Solve x = q*x - 3 for x. 3 Suppose -5*p = -2*s + 20, s - 4*p = 12 + 4. Solve -3*d + 9 - 9 = s for d. 0 Suppose -5*h = -12 - 13. Let p be -1*(-1 + 0)*h. Let f be (493/(-51) - -13) + 8/(-6). Solve f = p*w - 3 for w. 1 Let c(k) = k**2 - 19*k - 33. Let v be c(21). Solve 3*f = v*f + 24 for f. -4 Let w(u) = -19*u + 72. Let s be w(3). Solve -9*d = -s*d + 18 for d. 3 Let h be ((-6)/3)/((-3)/18). Suppose 0 = -4*j + 5*j - 4. Suppose 3*p = -j*q + 4 + h, 4*p - 33 = -3*q. Solve -5*o + o = p for o. -3 Let v(a) = -18*a + 6. Let q be v(-2). Let p = q - 36. Solve -4*r = -r + p for r. -2 Suppose 12*a = 9*a + 15. Solve s = -0*s + a for s. 5 Suppose 4*d - 17 = 2*d - 5*o, 3*o = 4*d + 5. Solve 2*q = d - 9 for q. -4 Suppose 5*m - 20 = -0*n - 5*n, 5*m - 30 = 5*n. Suppose -7*s = 15 - 50. Suppose 27 - 7 = s*o. Solve 0 = -o*j + m*j - 2 for j. 2 Let f be 13/(-78)*3*-14. Solve 0 = -4*x - 27 + f for x. -5 Let o be 1/(((-3)/(-78))/(-3 + 1)). Let u = o - -54. Solve 0 = -u*i - 4 for i. -2 Let v = 293 + -291. Solve -10 = v*q - 18 for q. 4 Let b be 7 + -3*(-2)/(-3). Suppose 4*y + 23 = -21. Let w = y + 14. Solve 0 = -w*a - 17 + b for a. -4 Suppose 15*a - c = 12*a + 40, 8 = a + c. Solve -a = 8*t - 2*t for t. -2 Let b = 14 - 15. Let a be ((-8)/28)/(b/14). Solve -2*m - 6 = a for m. -5 Suppose 0 = 54*p - 511 + 133. Solve -2*d - 27 = p*d for d. -3 Let u be (1/2)/(6/(-24)). Let a be 4 - (u/2 - -1). Solve -h - a*h = 0 for h. 0 Suppose q = -2*z, 0*z = -2*z - 5*q. Let p(g) = g**3 - 3*g**2 + 2*g - 4. Let c be p(3). Solve -o + z*o = -c for o. 2 Let q be 44/(-154)*14/(-2). Let p be ((-2)/3)/(6/(-27)). Solve q*u - u = p for u. 3 Let h(i) = -16*i + 5. Let d(c) = 4*c - 1. Let u(v) = 9*d(v) + 2*h(v). Let f be u(1). Suppose b = f + 5. Solve 0*w - b = 5*w for w. -2 Let r = 333 - 328. Solve 0 = -r*y - 27 + 7 for y. -4 Let n(w) = 3*w - 3. Let f be n(10). Let i = f - 25. Solve i*l - 3*l = 1 for l. -1 Let s(g) be the third derivative of g**4/12 - 10*g**3/3 + 4*g**2. Let p be s(12). Solve y = 2*y - p for y. 4 Suppose -10 = -3*u + f - 1, 3*f = 0. Suppose 0 = 5*l - 4*m - 5 + 13, 0 = 5*l + 4*m - 8. Solve -w = -l*w - u for w. 3 Let r be 9 + 30/20 - 3/6. Solve 12*d = r*d - 6 for d. -3 Let s = 38 + -38. Suppose -4*y + o - 3 = 0, 5*o + 6 = 2*y + 21. Suppose y = -5*z - s*z. Solve z*r = r + 1 for r. -1 Let w be 5/10 + 20/8. Let d be -3 + 8 + (w + -1 - 4). Solve -d*h + 9 = -0*h for h. 3 Let l be (-27)/(-5) + 2/(-5). Suppose l = 4*r - 3*r. Suppose r*d - 15 = -0*d. Solve 2*z - 25 = -d*z for z. 5 Let c(p) = 4*p - 33. Suppose 2*a - 5 = -3*b, -4*b + 2*b - 40 = -3*a. Let h be c(a). Solve -h = 4*l - 27 for l. 5 Let y(t) = 29*t + 153. Let x be y(-5). Solve 20 = -x*w + 3*w for w. -4 Suppose -4*w - k + 2*k = -60, -4*w = 5*k - 36. Solve 20 = -9*j + w*j for j. 4 Let u(o) = -o**3 + 7*o**2 + 7*o + 4. Let l be u(8). Let s be 2 + (-8 - -2) - l. Solve -3*k + s + 15 = 0 for k. 5 Suppose -25*y - 13 = -88. Solve y*g + 7 = -5 for g. -4 Let k be 11 - 14 - (-7 - 3). Solve -y + k = 5 for y. 2 Let p be (-207)/12 - 2/(-8). Suppose 115 = -4*w + 3*u, w - 4*u = 14 - 59. Let z = p - w. Solve 0*s + 4*s = z for s. 2 Let u(c) = -c**2 + 3*c + 5. Suppose -30*a = -33*a. Let o be u(a). Solve 0 = o*k - 7 - 8 for k. 3 Let g = 531 - 528. Solve g = -12*t + 15*t for t. 1 Let k be 4 + 6/(-2) - (0 + -20). Suppose -k*c = -8*c - 39. Solve 0*m - c = -m for m. 3 Let h(x) = x**2 - 4*x + 5. Let n = 15 + -13. Suppose -f + 2 + n = 0. Let v be h(f). Solve -s + 0 = v for s. -5 Let g be ((-54)/(-15))/(4/10). Suppose -2*y + 5*y = 2*q - g, 0 = -4*q - 3*y + 9. Solve -q + 0 = 3*x for x. -1 Let s = -49 - -36. Suppose -2*u - d + 85 = 3*u, 2*d = 0. Let k = u + s. Solve k*y = -0*y + 4 for y. 1 Suppose -2*m + m + 4 = 0, -4*k + 4*m + 68 = 0. Suppose -3*v + k = -4*s + 5*s, 0 = -2*v + 3*s + 25. Solve -v = 3*x + 7 for x. -5 Let t(n) = -7*n**3 - 2*n**2 + 1. Let b(w) = 1 - 3*w + 3*w - 2 + 7*w**2 + w**3. Let u be b(-7). Let d be t(u). Solve -d*p + p = 25 for p. -5 Suppose 5*f = -f. Suppose f*w + 9 = -3*h + 3*w, 4*w - 20 = 0. Suppose -h*k - 3*r = -5, -4*k + 9*k - 2*r = 3. Solve -9 = -2*l - k for l. 4 Let z(k) = k**2 - 13*k + 31. Let t be z(17). Let v = 105 - t. Solve v*a - a = 0 for a. 0 Let g = 122 + -122. Solve -6*j + 30 = -g*j for j. 5 Let v(d) = 4*d**2 + d + 6. Let x(o) = 7*o**2 + 2*o + 11. Let q(y) = -11*v(y) + 6*x(y). Let u be q(-1). Let l = u - -6. Solve 0 = -4*m - 13 - l for m. -4 Let m be ((-9)/15)/((-2)/(-10)). Suppose -n + 17 = -5*k, 3*n + k - 40 = 5*k. Let c be 1/((-2)/n*m). Solve 0 = -c*h - 6 - 2 for h. -4 Let x(w) = -w**2 + 13*w - 18. Let a be x(13). Let v = 19 + a. Suppose -5*i + 11 = v. Solve i - 6 = j for j. -4 Let t = 6 - 4. Let r = 11 + -12. Let z be 4 - (5 + -1) - r. Solve -t*s - 3 = -z for s. -1 Suppose 23 = 4*z - 4*m + 3, 7 = -4*z - 5*m. Solve -s - 2 = z for s. -4 Let d be (0 - -2)/(11/132). Let i = 25 - d. Solve -2*y - 3 = i for y. -2 Let h be 4*(-2)/(-8) + -1. Let b be 5 - (2 - 4 - h). Suppose -2*p + b = -1. Solve 4*q - 2*q - p = 0 for q. 2 Let c(a) be the third derivative of a**4/24 + 2*a**3 + 5*a**2. Let i be c(-11). Solve 2*l - 3 = -i for l. 1 Suppose -x - 2*x = -15. Suppose x*b = 8*b - 36. Suppose b*w - 7*w = 20. Solve -s - w = -1 for s. -3 Let s = 32 - 15. Suppose 21*m = s*m. Solve m = -3*z + 2 + 1 for z. 1 Suppose 0 = -4*k + 7*k - 27. Let y(p) = -p**3 + 10*p**2 - 10*p + 12. Let o be y(k). Solve 7 = -5*z - o for z. -2 Suppose 23 = 2*o - 11. Let d = 11 + -6. Suppose 3*a = -4*l + 12, 5*a - 2*l - 49 = l. Solve d*i + a = -o for i. -5 Suppose 4*n = -2*r + n + 20, 40 = 4*r + n. Suppose -3*h + r = 2*h. Solve h*g = 3*g - 5 for g. 5 Let q = -12387 - -12395. Suppose x
{ "pile_set_name": "DM Mathematics" }
= a(g) - 5*m(g). Does 11 divide j(-2)? False Suppose 283 = 2*b + 3*f, 4 = -2*f - 2*f. Is 13 a factor of b? True Suppose -4*b + 166 + 278 = 0. Is 11 a factor of b? False Suppose 5*v - 2*w - 16 = -0*w, -24 = -4*v - 4*w. Let y be (3 + -2)/(2/v). Is 17 a factor of (y - 8)*17/(-3)? True Is 15 a factor of (1 + -31)*(-75)/30? True Let x(a) = 3*a**2 - 12*a - 2. Let y(z) = 7*z**2 - 25*z - 5. Let h(n) = -5*x(n) + 2*y(n). Is h(9) a multiple of 3? True Let b(c) = -10*c - 4. Let l(i) = -2*i**3 - 2*i**2 + i. Let r be l(1). Is b(r) a multiple of 14? False Let r(n) = -n**2 - 9*n + 1. Does 10 divide r(-7)? False Suppose 1 = 2*n - 3. Suppose 2*d - 3*g - 2 = -2*g, n = g. Suppose -4*x - 4 = -d*j, 5*x - 11 = 9. Does 7 divide j? False Let q(b) = b**2 + 2*b + 3. Let k be q(-3). Suppose p - 26 = -k. Does 20 divide p? True Is (-1 - (-4 + -498)) + -5 a multiple of 16? True Suppose -672 = -4*z - 3*g, -2*g + 672 = 4*z - 0*g. Is 56 a factor of z? True Does 19 divide 2*6/(-4) + 22? True Let q(x) = 2 - 36*x - 3 + 0 - 1. Is q(-2) a multiple of 14? True Suppose -5*j + 67 + 53 = 0. Is j a multiple of 8? True Let k(d) = -d**2 - 9*d + 2. Let g be k(-6). Does 2 divide g/(-6)*9/(-5)? True Suppose -25 = -6*p + 41. Does 5 divide p? False Suppose 4*r = r + 57. Let a = 36 - r. Is 17 a factor of a? True Let f be (54/24)/((-6)/(-32)). Does 11 divide f*2 + 0 + 2? False Let m(n) = n**2 - 8*n - 5. Let s be m(9). Let k = 66 + s. Suppose 4*l + l = k. Is 14 a factor of l? True Let h be 0 - (8 + (4 - 2)). Let b(k) = k**2 + 10*k + 13. Let i be b(h). Suppose 5*x - 2 = i. Does 3 divide x? True Suppose 3*l = 27 + 15. Is 14 a factor of l? True Let l(n) = 2*n + 6. Let h be 1 - -7 - (2 + 0). Is 8 a factor of l(h)? False Let i be -6*(-2 - (-10)/6). Let l be 0 - i/4*-2. Suppose 3*a = -5*s + 110, -s + l - 7 = -5*a. Is s a multiple of 16? False Let f = 169 + 27. Does 9 divide f? False Let l(h) = h**2 - h - 16. Is l(-7) a multiple of 8? True Let h(t) = 3*t**2 + 1 + 5 + 6*t - 10. Let f(a) = 21*a**2 + 42*a - 27. Let j(k) = -2*f(k) + 15*h(k). Is j(-5) a multiple of 17? False Let g = -55 + 91. Suppose g = 2*w - 26. Is w a multiple of 10? False Let o(m) = m**2 + 8*m - 8. Let x be o(-9). Is 18 a factor of 5*4 - (x + 1)? True Suppose 4*z - 24 = -0*z. Is z a multiple of 3? True Suppose -3*f + 0*f = -201. Suppose 3*v = -2*g + f, -5*g - 36 = -2*v - 2*g. Is v a multiple of 7? True Suppose -y + 68 = y. Is 17 a factor of y? True Let d = 0 + 128. Is d a multiple of 16? True Suppose -a + 0*a = -u + 32, 39 = 2*u + 3*a. Is u/(2 + (1 - 2)) a multiple of 9? True Let k(w) = -17*w - 9. Does 12 divide k(-4)? False Suppose 3*d = -15, d + 430 = 4*p - 7. Does 12 divide p? True Does 15 divide 540/(-2)*((-16)/24 + 0)? True Let u = -5 - -5. Let b = 3 + u. Suppose 5*g + 2*q + b*q = 20, 5*g = 3*q + 28. Does 5 divide g? True Let k(j) = j**2 + 120. Let d be k(0). Suppose 4*x = -x + d. Is x a multiple of 8? True Let c(w) = w**3 - w**2 + 74. Let z be c(0). Let x = z + -26. Is 16 a factor of x? True Does 12 divide -3*(12/3 - 320/12)? False Suppose 0 = 5*q + 21 + 79. Let h = 34 + q. Is 13 a factor of h - ((-2)/(-2) + 0)? True Let z(h) be the third derivative of -h**6/40 - h**5/15 - h**4/24 + h**3/3 - 2*h**2. Is z(-2) a multiple of 12? True Suppose 5*x + 9 = -1, -3*z + 15 = -3*x. Let p(i) = -i**z + 2*i**3 - 2*i - 5 + 5*i**2 + 3. Is 9 a factor of p(-4)? False Let d(v) = 54*v. Is 18 a factor of d(1)? True Suppose f + 6*y - 80 = y, 0 = -2*y - 10. Is f a multiple of 7? True Let s = -20 - -11. Does 2 divide (-25)/s + (-6)/(-27)? False Let i(l) = -3*l - 1. Suppose 2 - 11 = 3*v. Let j = v - -1. Does 2 divide i(j)? False Suppose 5*v + 2*p + 6 = 0, 0 = v + v + 2*p + 6. Suppose -s + 4*s - 132 = v. Let m = s - 26. Does 18 divide m? True Let g(u) = 2*u - 9. Let k be g(6). Suppose -r + k*r + 4 = 0. Is 2 + 21/(-6)*r a multiple of 4? False Let b be (-18)/(-4) - (-1)/2. Suppose 0 = -2*j + 3 + b. Suppose -n - z + 47 = 0, 0*n = 2*n + j*z - 88. Is n a multiple of 25? True Let l(b) = -2*b**3 - 8*b**2 + 15*b - 7. Does 55 divide l(-8)? True Let t = -18 - -13. Suppose -i - 110 = -5*j, -5*j = 2*i - 0*i - 95. Let m = j + t. Is m a multiple of 8? True Let v be 1/2 + (-14)/4. Let y be ((-2)/(-3))/((-2)/v). Does 16 divide (y - 4)*20/(-3)? False Let f be ((-24)/(-9))/4*3. Suppose 0 = 2*a + f*t - 22, 5*t - 4*t = -3*a + 29. Suppose a - 81 = -2*l. Is 16 a factor of l? False Is 35 a factor of (-5*(-15)/6)/(9/126)? True Let c(g) = -g**3 - 9*g**2 - 11*g - 1. Let m be c(-8). Suppose 2*y - j = -2*y + 19, -j = 3*y - m. Is 3 a factor of y? True Suppose 4*q - 5*m + 6*m = 29, q - 21 = -3*m. Suppose 16 = 5*n + q. Suppose -l - l = -2*s - 32, 3*s = -n*l + 22. Does 7 divide l? True Suppose 4*s + 2*f - 84 = 0, 0 = 2*f - 3*f - 4. Let t = s + -2. Does 21 divide t? True Suppose -4 = -3*u + 2. Suppose -2*l = u*l - i - 58, 0 = -5*l - 3*i + 64. Is 9 a factor of l? False Suppose 92 = 2*d - 28. Does 15 divide d? True Let j(s) = s**3 + 6*s**2 + 4*s. Let d = 3 - 0. Suppose 3*g + 2*q + 16 = 0, d*q = 2*g + 2 - 0. Does 16 divide j(g)? True Let z(a) be the first derivative of -a**4/4 - 8*a**3/3 + 9*a**2/2 + 6*a + 1. Let p be z(-9). Suppose 5*x + 6 = p*x. Is x a multiple of 2? True Let z = -4 + 5. Let v be z/1 + (-5 - -3). Does 12 divide 2/(v + -1)*-26? False Let k(i) = -i + 2. Let d be k(-4). Is (-16)/d*(2 - 17) a multiple of 20? True Let r = 0 + 1. Suppose c = -z - 25 - r, -4*z + 5*c - 95 = 0. Let t = -4 - z. Is t a multiple of 9? False Let b(q) = -q + 1 - 2 + 2*q + 2. Does 2 divide b(1)? True Suppose -2*l + 0*l = 6. Is (-2)/3 - 59/l a multiple of 8? False Let z(y) = y + 12. Let a be z(-6). Suppose k - 39 = 5*s + 3*k, 5*k - 15 = 0. Let c = a - s. Does 6 divide c? False Let x(z) be the second derivative of -z**3/6 - 3*z**2/2 + 4*z. Let i be x(-7). Suppose 48 = -0*c + i*c. Is c a multiple of 12? True Suppose -4*z = -5 - 7. Suppose -2*w + 34 = -z*t, 5*w - 3*t + 6*t - 127 = 0. Is w a multiple of 23? True Suppose -299 = -10*a + 201. Does 10 divide a? True Let r = 22 + 5. Is r a multiple of 3? True Let v = -5 - -2. Let t be -4*1 - (v - -3). Is 7 a factor of (t/(-6))/(6/63)? True Suppose 3*l - 53 = -5*i, -2*l + 3*l + 4 = 0. Let m(j) = -j**3 - 6*j**2 - j + 7. Let o be m(-6). Let r = i + o. Is 26 a factor of r? True Suppose -3*u + 12 = 0, -4*u + 3*u + 2 = -z. Suppose -z*m = -3*m + 24. Does 12 divide m? True Let n = -18 + 98. Is n a multiple of 5? True Suppose -6*d + 6 = -4*d. Let z(x) = x + 5. Let c be z(0). Suppose 0 = -d*u + 3, 4*u - u + c = h. Does 3 divide h? False Suppose -4*s + 32 = 2*n, 3*s - 31 = -0*n + 2*n. Suppose -s*a + 156 = -3*a. Is 17 a factor of a? False Let j = 10 - 8. Suppose 2*o + 2*r = 3 + 3, 24 = 3*o - j*r. Is 6 a factor of o? True Let g(n) = -n**2 - 9*n + 6. Is 7 a factor of g(-8)? True Let n be -10*(-2 - 6/(-4)). Let m(j) = 10 - n + j + 0. Does 7 divide m(6)? False Let a(y) = y**3 - 3*y**2 + 4*y - 3. Let h(i) = -i**2 - 15*i + 4*i + i**3 + 12*i**2 + 15. Let l be h(-12). Is 4 a factor of a(l)? False Let q(g) = g**2 - 8*g + 9. Suppose 5*u + y = 42, -4*u + 0*y + 2*y + 28 = 0. Let c be q(u). Is (-2)/2*c*-1 a multiple of 9? True Is 17 a factor of 63/49 + 4/(-14) + 180? False Suppose -16 = 4*u, -4*u - 56 = -x - 3*x. Is 10 a factor of x? True Let i(k) = -k**3 - 3*k**2 - 4*k + 2. Does 17 divide i(-4)? True Suppose 6 = 3*w, 47 = 2*j + 2*w - 41. Does 14 divide j? True Let o = 0 - -2. Suppose 2*d = 3*d - o. Suppose -d*a + 20 = 2*a. Is 3 a factor of a? False Let w(v) = v - 5. Let s be w(9). Suppose s*d = 12, 4*h - 5*h = -4*d - 23. Suppose 5*i - h = -0*i. Is 2 a factor of i? False Let b(z) = -z + 19. Let l = 10 + -19. Is 7 a factor of b(l)? True Let y(t) = 2*t**2 + 7*t + 6. Let j(b) = -4*b + 3*b - b - 6*b**3 + 2*b**2 + 0*b**2 + 1. Let v be j(1). Is y(v) a multiple of 7? True Suppose -2*r - 3*r = -2*p + 121, -4*p = 5*r + 103. Does 13 divide (-15)/12*(-1 + r)? False Let p = 2 + -7. Let o(b) = b**2 + 5*b + 6. Let f be o(p). Is 106/3 - (-4)/f a multiple of 18? True Suppose 4*n = -4*u - 10 + 46, 0 = -4*n - 16. Does 13 divide u? True Let c be (1 - 2 - -12) + 1. Let w be 25/(-4) + 3/c. Is 9/2*w/(-9) even? False Let w = 15 - -14. Let v = w - 24. Is 2 a factor of v? False Suppose -2*a - x + 1 = -4, 0 = -5*a + 5*x + 20. Is 1 + a - 1/1 a multiple of 3? True Let s = -1 + 2. Is s*(-80)/(-4 - 0) a multiple o
{ "pile_set_name": "DM Mathematics" }
+ 1/12*d**4 + 0 + 0*d**3 + 1/2*d**2. Let t(f) = -f + 1. Let p be t(0). Determine x(p). 2 Let r be 4/(-10) + (-24)/(-10). Suppose 8 = -5*f - r. Let y(i) = 4*i - 2. Determine y(f). -10 Let u be 2 + (2 - 5)/(-3). Suppose 2*x = 4*x - 2*w - 2, u*x - 5*w + 5 = 0. Let j(i) = -x - i + 5 + 4. Determine j(-3). 7 Let h = 9 - 7. Let b(x) = -2*x**h + x**3 - 2*x**3 + x - 3*x - 4 - 3*x**2. Give b(-5). 6 Suppose -4*j - j + 10 = 0. Let b(q) = 0 + 0*q - j + q. Let m be b(4). Let k(v) = 3*v - 1. What is k(m)? 5 Let u(x) = -x**2 - x - 2. Let d(k) be the third derivative of -k**5/60 - k**4/6 + k**3/2 + k**2. Let g be (-2)/(2/5 - 0). Let w be d(g). Calculate u(w). -4 Let w(q) = -5 + 3 + 7*q**2 + 87*q**3 - 6*q - 88*q**3. Determine w(6). -2 Let q(a) = 3*a**2 + 3*a - 3. Let d(f) = -2*f - 12. Let t be d(-7). Determine q(t). 15 Let a(q) = q + 1. Let y(w) = -w - 1. Let c be y(4). Let n(z) = -z - 5. Let j be n(c). Give a(j). 1 Let m(a) = -2*a**2 + 5*a**2 - 5*a + a**3 + 0*a**2 + 1 + 0*a**3. Calculate m(-4). 5 Suppose d - 6 = -5*h - 1, 2*d + 3*h = 3. Suppose -2*x + x - 3 = d. Let i be 3/(x + 6) + -1. Let v(u) = u - 4. Calculate v(i). -4 Let k(y) = -y - 1. Let g(r) = 2*r + 2. Let b(i) = g(i) + k(i). Determine b(5). 6 Let n(t) = -t + 15. Let h be n(11). Let x(q) = q**2 + 1. Let o(b) = -b**2 - 2*b - 4. Let m(v) = h*x(v) + o(v). Let d = -1 - -3. What is m(d)? 8 Let g(j) = -8 + 0 - j + 0*j. Let c = 130 - 136. Give g(c). -2 Let z(k) = -k**2 - 4*k - 1. Let p be z(-3). Suppose 0*d + p*o = 3*d - 17, 0 = -d + 4*o + 9. Suppose -20 = 3*v - d. Let j(n) = -n**2 - 7*n - 4. Give j(v). 6 Let d(a) = 5*a**2 + 13*a + 9. Let i(z) = -6*z**2 - 14*z - 9. Let t(j) = 5*d(j) + 4*i(j). What is t(-7)? -5 Let u(f) be the second derivative of -f**4/12 + 2*f**3/3 - f**2 - 24*f + 2. Give u(5). -7 Let y(t) = 2*t**3 + 7*t**2 - 21 - 3*t**3 - 6*t + 15. Give y(5). 14 Let c(l) = 8*l - 1. Suppose -28*h + 26*h + 2 = 0. Determine c(h). 7 Let w(p) = p - 4. Suppose -3*s = 3*g - g - 13, -g - 4 = 0. Calculate w(s). 3 Let p(w) = -96*w + 2*w**3 + 92*w - w**3 - 4 + 4*w**2. Determine p(-5). -9 Suppose 3*f - 6 + 0 = 0. Let m(r) = -2*r + 2. Let v(l) = -3*l + 2. Let d(z) = f*m(z) - 3*v(z). Calculate d(2). 8 Suppose -h - 5*h = -174. Let n(o) = -h + 23 - o - o. Suppose 2*y = 2*j - 2, y - 3*j = 9 - 4. What is n(y)? 2 Let y = -1 + 7. Let s be y*1*(-18)/(-27). Let r(l) = -2*l + l**2 - 3 + 0*l - 2*l. Give r(s). -3 Let o(t) = 8*t + 10. Let z(p) = 17*p + 21. Let b(r) = -5*o(r) + 2*z(r). Let s(v) = v + 1. Let n(i) = -b(i) - 5*s(i). Give n(-5). -2 Let p(c) be the third derivative of -c**5/60 - c**4/6 + c**3 + 5*c**2. Give p(-6). -6 Let i(n) be the third derivative of n**6/120 + n**5/10 + n**4/24 - n**3/3 + 19*n**2. Give i(-6). -8 Let u be 9*(-1 + 1/3). Let y be (2/u*0)/(-1). Let m(h) = -4*h + 3. Let d(r) = -r + 1. Let l(i) = 9*d(i) - 2*m(i). Determine l(y). 3 Let p(w) = w - 5. Suppose -5*r = -43 + 3. Determine p(r). 3 Let l(n) be the third derivative of n**6/120 + n**5/120 - 5*n**4/24 - 4*n**2. Let g(h) be the second derivative of l(h). What is g(-1)? -5 Suppose 5*g + 44 = -2*b, 7 = 2*b + g + 35. Let i be (16/(b/(-3)))/(-2). Let z(r) = -2*r + 1. Give z(i). 5 Suppose 0*o + 42 = -7*o. Let a(l) = l + 4. Give a(o). -2 Let r(w) = -5*w + 25. Suppose -5*l = -0*l - 125. Let y(m) = -1. Let q(p) = l*y(p) + r(p). Give q(1). -5 Let j(b) = -b**3 - 2*b**2 + 23*b - 1. Let z be j(-6). Let v(c) = -c**2 + 6*c + 5. Give v(z). 10 Let q(z) = -249 + 16*z + 249. Give q(-2). -32 Suppose 42 = 5*w + u, -2*u = 5*w - 51 + 7. Suppose 5*s = w*s. Let v(c) = c**2 - c + 8. Give v(s). 8 Let r(i) = i**3 + 4*i**2 + 4*i + 2. Let u be r(-3). Let b be u/2 - 9/6. Let c(n) = n - 1. Give c(b). -3 Let v(t) = -11*t**2 - 7*t + 1. Suppose -2*y - y = -3*j + 21, 0 = -j + 2*y + 6. Let n(h) = -4*h**2 - 2*h. Let c(w) = j*n(w) - 3*v(w). Calculate c(-5). -3 Suppose 0 = 3*x - 24 + 9. Let g = 2 - 0. Let c = g - x. Let d(v) = v**3 + 2*v**2 - 4*v + 1. Give d(c). 4 Let z(u) = -2*u - 6. Suppose 0 = 2*y + s, -16 = 3*s - 4. Suppose 29 = -2*n - n + l, 3*l = -y*n - 23. Let p = 4 + n. Give z(p). 6 Suppose -5*h + 24 = -4*z - h, 3*z - 17 = -4*h. Let j(s) = -3*s - 2. Let q(n) = 20*n + 6. Let k(m) = -3*j(m) - q(m). Calculate k(z). 11 Let w = 15 + -13. Let m(b) = 5*b - 1. Determine m(w). 9 Let p(h) = -5*h + 17. Let b(g) = g - 4. Let t(a) = 9*b(a) + 2*p(a). Suppose 3*d + x - 35 = -3*x, -3*x = 3*d - 30. Calculate t(d). -7 Let s = 8 - 19. Let v = s - -12. Let p(w) = -6*w**2 + w. Give p(v). -5 Let v(z) = z**2 + 2 + z - 3 + 4. Calculate v(0). 3 Suppose 4 = -f - 2. Let t(v) = -v**3 - 6*v**2 - 2*v - 8. Calculate t(f). 4 Let h be 44/14 - (-9)/(-63). Let d(l) = l**3 - 2*l**2 - l - 1. What is d(h)? 5 Let k(m) = -m - 2. Suppose 3*b - 21 = 3*c, -4*b + 1 - 13 = 4*c. Let z be -4 + c - 3*-1. What is k(z)? 4 Let p(w) be the third derivative of -1/30*w**5 + 0*w + 1/120*w**6 + 1/3*w**3 + 3*w**2 - 1/8*w**4 + 0. Determine p(3). 2 Let r(o) = 7*o**2 + 2*o + 5. Let t(y) = -y**2 - 1. Let n(i) = r(i) + 4*t(i). Let b be -3*((-20)/5)/(-12). Give n(b). 2 Let d(m) = 3*m + 4*m**3 + 1 + m**3 - 4*m**3 - 4*m**2. What is d(3)? 1 Let j(w) = 3 + 0 - 4*w**2 - 2 - 2. Determine j(-1). -5 Let j(x) be the second derivative of 3*x - 5*x**2 + 0 + 1/6*x**3. What is j(6)? -4 Let g = -19 + 17. Let x(b) = -3*b**2 - 2*b. What is x(g)? -8 Let v(w) = -6*w - 1. Let k(j) = -5*j + 1. Let s be k(-2). Suppose -r = -5, -5*m - r + 4 + s = 0. Suppose -o - 1 = -m. What is v(o)? -7 Suppose 35 = a + 4*a. Suppose 0*o - a = -o. Let x(g) = 6 - 2*g + 7 - o. Calculate x(4). -2 Let a(y) = -3 + 3*y + 0*y**3 + 2*y**3 + y**2 - 7*y. Let p(j) = j - 9. Suppose 2*r = r + 7. Let v be p(r). What is a(v)? -7 Suppose -27 = -3*p - 5*d, -2*p + 6*p - d = 13. Let o(v) = 4*v**3 + 3*v**2 - v. Let a(f) = -3*f**3 - 2*f**2 + f. Let w(s) = p*o(s) + 5*a(s). Calculate w(-2). -2 Let x(i) = 6. Let h(c) = c - 6. Let v = 1 - 3. Let f(a) = v*h(a) - 3*x(a). Give f(-6). 6 Let j(g) = g - 2. Let b(i) = -i + 2. Let x(o) = -6*b(o) - 5*j(o). Calculate x(-4). -6 Let r(y) be the second derivative of y**4/12 - 3*y**2/2 + 16*y. Calculate r(-3). 6 Let c(m) = 3*m + 1. Suppose 3 + 7 = -5*h. Let n(l) = -48*l - 15. Let g(v) = h*n(v) - 33*c(v). What is g(-3)? 6 Let f(j) = -j - 1. Suppose -15 = 3*r - 3*k - k, 0 = -3*k. Let x be (-2 + 2)/(4/2). Let i = r + x. Calculate f(i). 4 Suppose p = 2*r + 1, 0 = r + r - 4*p + 16. Suppose -3*v - u = u - 3, -2*u = -3*v + 3. Let b(k) = v + k**r + k**2 - 2 - k. Determine b(-1). 2 Let n(r) = -r**3 + 7*r**2 - 10*r + 9. Suppose 10*v = 5*v + 30. What is n(v)? -15 Let p(f) be the first derivative of f**2 - 6*f + 3. Let i(v) = -v + 1. Let a(t) = i(t) - p(t). Calculate a(5). -8 Let s = 11 - 5. Let i be 22/(-6) + s/9. Let v be -9*(14/(-6) - i). Let t(n) = -n**3 - 5*n**2 + 8*n + 7. Calculate t(v). -5 Let u be (4 - 2)*2/4. Let j(n) be the first derivative of 3*n**4/2 + n**3/3 - 3*n**2 + 5*n + 2. Let v(s) = s**3 - s + 1. Let q(x) = j(x) - 5*v(x). Give q(u). 1 Let l be (-1)/(-1*1/3). Let b(x) = 7*x + 14. Let i(t) = -7*t - 15. Let d(v) = l*b(v) + 2*i(v). Let m(s) = 8*s + 13. Let p(r) = 7*d(r) - 6*m(r). What is p(-5)? 1 Let u = 3 - 0. Let w(s) = -s**2 + 8*s - 4. Let y be w(7). Let p(l) = -3*l**y + u*l**2 - l + 4*l**3 + 3 + 0*l**3. Give p(-3). 6 Suppose 5*m - 27 = -v, -2*m + 6 = -v - v. Let n(z) = -v + 2 + 0 - z - 1. Calculate n(-3). 2 Let m = 26 + -17. Let d be m/(-1)*7/21. Let s(u) = u + 1. Give s(d). -2 Let u(p) = -p**2 + 2*p - 2. Let c = -18 - -33. Suppose 5*d + 6*k - 4*k = c, 4*k = 0. Determine u(d). -5 Let u = -7 - -10. Let t(q) be the first derivative of -2*q + 1 - 1/4*q**4 + 4/3*q**u + 1/2*q**2. Calculate t(4). 2 Let j(a) = a + 2. Let i(x) = x**3 - 7*x**2 - 9*x + 6. Suppose 0*d - 8 = -g + 3*d, 5*d - 8 = -g. Let m be i(g). Let t be m/(-4) - (-3)/(-2). Give j(t). 1 Let n be (-1)/3 - (-159)/(-9). Let r be n/(-5) + 8/20. Let f = 5 - r. Let t(o) = 4*o**3 + 2*o - 1. What is t(f)? 5 Let x(r) = r**2 + 6*r + 5. Suppose -4*l + 25 = -15. Let t = 4 - l. What is x(t)? 5 Let q be (-2)/9 - 312/54. Let k = q - -4. Let z = 4 + k. Let h(m) = 2*m + 2. Calculate h(z). 6 Let r(o) = 5*o - 1. Let i(p) = p**2 + 5*p + 3. Suppose 10 = -5*h + 5*s - 3*s, -15 = 3*s. Let w be i(h). What is r(w)? -6 Let f(n) = -n**3 + 6*n**2 - n - 1. Suppose 2*p - 4*p + 12 = 0. Give f(p). -7 Let c(r) = -4*r**2 + 5*r + 4. Let k(
{ "pile_set_name": "DM Mathematics" }
4)*(x - 7*x + 3*x) + x**5 + 1 - 2*x**5 + 0. 2*x**5 + 1 Expand (-18*f - 33 + 33)*(-2 + 2 - 3*f**2). 54*f**3 Expand (1 + 2 - 1)*(-2*b**3 + 2*b**3 - 2*b**4) + 4*b**4 - 2*b**4 - b**4 - 1 - 3*b**4 + 1. -6*b**4 Expand ((-2 + 5 - 1)*(0*p + 0*p - 2*p) - 6*p - 2*p + 0*p)*(-1 - 2 + 5 + (3 + 4 - 6)*(3 + 2 - 3)). -48*p Expand (-1 + 3 - 1)*(3*l - l**2 - 3*l)*(-25 + 17 - 22). 30*l**2 Expand (-3*r - 1 + 1)*(2 + 1 + 2)*(2*r**3 + 4*r**3 - r - 5*r**3). -15*r**4 + 15*r**2 Expand (-5 + 5 + g)*(-2 - 1 + 4)*(-1 - 4 + 3). -2*g Expand -p**3 + 2*p**4 + p**3 + (4*p**2 + p**3 - 4*p**2)*(1 - 1 - 5*p). -3*p**4 Expand (-6*a + 24 - 24)*(-1 + 1 - a**3 - a). 6*a**4 + 6*a**2 Expand (c + c - 3*c)*(-5 - 5 + 5). 5*c Expand (30 - 30 - 2*f)*((-3 + f + 3)*(-f + 0*f + 3*f) + 2*f**2 - 1 + 1 + 4*f**2 - 6*f**2 + 0*f**2 + f**2 + 4 - 4). -6*f**3 Expand (2 - 1 - 3)*(-1 + 2 + 1)*(-1 + i + 0*i + i). -8*i + 4 Expand -3*u**2 - 105 + 105 + 3*u**2 - 4*u**2 + 0*u**2 + (5*u - 4*u + 0*u)*(2*u - u - 2*u). -5*u**2 Expand (0*a - 4*a + 2*a)*(-2 + 0 + 3)*(-23 - 3 - 13) + 2*a - 3 + 3. 80*a Expand (0*c**4 + 4*c**4 - 3*c**4)*(-c + 3*c + 2*c)*(-1 + 0 + 0). -4*c**5 Expand h - 3 + 3 + 1 - 2*h - 1 + 0*h - h + 0*h + (-4 + 2 + 0)*(-4*h + 0*h + 6*h) - h + 0*h + 2*h. -5*h Expand (0*w - 3 - w + 2*w)*(1 + 11 + 6). 18*w - 54 Expand (-n**2 + 5*n**2 - 3*n**2)*(2*n - 4 + 5 - 21). 2*n**3 - 20*n**2 Expand (0*d**4 + 4*d**4 + 11*d**4)*(0 + 0 + d). 15*d**5 Expand (54*f - 54*f - 17*f**2)*(2*f**3 + f**3 - f**3) + 5*f**5 - f**5 + 0*f**5. -30*f**5 Expand (-2*q**2 + 0*q**2 + q**2)*((q + 0 + 0)*(4 - 1 + 0) + 2*q - 3*q + 0*q). -2*q**3 Expand (0 - 2*b**2 + 0)*(-6 + 2 + 3)*((4 - 1 - 4)*(2*b**2 + 2*b**2 - 2*b**2) + 3*b**2 + 6*b**2 - 5*b**2). 4*b**4 Expand (7*f - 11 + 2 - 5*f)*(f + f - f)*(2 - 9 + 1). -12*f**2 + 54*f Expand -w + 4 - w**5 - 4 + (w + 5*w - 3*w)*(-2*w**4 - w**2 + w**2). -7*w**5 - w Expand 3 - 4*h**2 - 3 + 3*h**2 + 7*h**2 - 9*h**2 + (-1 + 1 + 2)*(2*h**2 + 0*h**2 + 0*h**2). h**2 Expand (-4*h + h + h)*(-4*h + 4*h - 2*h**2 + (h + 2*h - h)*(-2*h - h + h) + 2*h**2 + 5*h - 5*h). 8*h**3 Expand (-1 + 2 - 3)*(-2*s**2 - s**2 - s**2)*(3*s - s - 5*s). -24*s**3 Expand -c**2 + 3*c**2 - 4*c**2 + (-2*c - 2*c + 6*c)*(2*c + 0 + 0) + (-1 + 0 - 1)*(-c**2 - c + c) + (-2 + 2 + 2*c)*(-2 + 2 + c). 6*c**2 Expand 2*s + 2*s - 2*s + (-2 + 2 - 5*s)*(1 - 2 + 3). -8*s Expand (4*j + 0*j - 3*j)*(50*j**3 - 50*j**3 - 3*j**4). -3*j**5 Expand (-a - 3*a + 6*a)*(58*a + 2 + 2*a**2 - 3*a - 11*a). 4*a**3 + 88*a**2 + 4*a Expand (3*p - 6*p - p**3 + p)*(4*p - 4*p - 3*p). 3*p**4 + 6*p**2 Expand (11*p - 3*p - 1 + 3)*(-2 + p**4 + 2). 8*p**5 + 2*p**4 Expand 0*u + u + 0*u + (17 - 29 - 6)*(1 - u - 1) + (-4 + 3 + 2)*(u + 2 - 2). 20*u Expand (5*h + 0*h - 3*h)*(4*h**3 + 2*h**3 - 2*h**3 + (0*h + h + h)*(0*h + 2*h**2 + 0*h)). 16*h**4 Expand (2 - 6 + 3 + 2 + 1 - 1 + (-3 + 0 + 4)*(3 + 3 - 4))*(13 - 20 - 6)*(s - s + 3*s). -117*s Expand (4*u - 7*u**2 - 4*u)*(u + 0 + 0)*(-3 + 2 + 2). -7*u**3 Expand (-3*w + 6*w**3 + 3*w)*(0*w**2 + 1 + 0 + 8*w**2). 48*w**5 + 6*w**3 Expand (3 + 1 - 3)*(-3*d + 6*d**2 - 87 + 87). 6*d**2 - 3*d Expand (0*v**2 - 3*v**2 + 5*v**2)*(-2 - v + 2) + 2*v - 2*v + v**3 - v. -v**3 - v Expand (3 + 1 - 3)*(5*w - 3*w - 3*w)*(21 - 10 + 7). -18*w Expand (-2*a**4 - 4 + 4)*(-5 + 1 + 2 + 1 + 2 - 1 + (5 - 1 - 2)*(2 + 1 - 4) - 3 + 4 + 0 + 0 + 1 + 7). -14*a**4 Expand 1 + 2*m + 278*m**3 - 251*m**3 - 2 + (-2*m**2 + 4*m**2 - 3*m**2)*(0*m + 4*m - 2*m). 25*m**3 + 2*m - 1 Expand (3*x - 7 + 7)*(-5*x + 0*x + x). -12*x**2 Expand (-4 + 2 + 0)*(-1 + 3 + 1)*(2*x - 2*x + 4*x). -24*x Expand 2*i**4 + 2*i**4 - 3*i**4 + (-i**3 - 3*i**3 + 3*i**3)*(-4*i + 4*i - 2*i) + 2*i**4 + 4*i**4 + 5*i**4 + 14 + 3*i**4 - 14. 17*i**4 Expand (-3*z - z + 10*z)*(-2 + 1 + 3 + (-3 - 2 + 3)*(-1 - 3 + 2) + 0 + 0 + 2 - 1 - 1 + 4). 60*z Expand (-l + 4*l + 4 - 4*l)*(0 + 0 - 1). l - 4 Expand 4*j + 2 + 9*j - 9*j - j + 4*j - j + (-1 + 0 - 1)*(-2*j + 0*j + 0*j). 10*j + 2 Expand (3*l - l + 5*l)*(-2*l**3 - l**3 + 2*l**3) + l**4 + 0*l**4 + 0*l**4. -6*l**4 Expand (-d**2 - 2*d**2 + d**2)*(d**2 - 2*d**2 + 2*d**2) - 18*d**3 + 5*d**4 + 18*d**3. 3*d**4 Expand -4*f + 3*f + 0*f + (-2 + 1 + 4)*((1 + 3 - 2)*(-2*f + 2 - 2) - 6*f + 2*f - 3*f). -34*f Expand ((-p + 4 - 7 + 11)*(0 + 1 - 2) + 3*p + 1 - 1)*(-p**2 - 5*p**2 + 4*p**2). -8*p**3 + 16*p**2 Expand (-23 + 23 - 8*y)*(3*y**3 - 2*y**3 - 4*y**3). 24*y**4 Expand ((-3 - 2*k + 3)*(-2 - 4 + 4) + k - 4 + 4 + (-3*k - 2*k + 3*k)*(-1 - 4 + 3))*(-5 + 4 - 1). -18*k Expand (3*j**3 - j - 2*j**3 - j)*(-2 + 5 - 1). 2*j**3 - 4*j Expand -640*u**2 - 19*u**4 + 640*u**2 + (0*u + u - 3*u)*(u**3 - 2*u**3 - u**3) + u - u - u**4. -16*u**4 Expand (23*z + 0*z + 0*z)*(-3*z**2 + z**2 - z - z). -46*z**3 - 46*z**2 Expand (0 + 2*q + 0)*(-q**4 - 4*q**3 + 2*q**4 + 2 + 6*q**3). 2*q**5 + 4*q**4 + 4*q Expand ((-s + 2*s + 2*s)*(-3 + 3 + 1) + (2 - 2 - 3)*(-2*s + 6*s - 2*s))*(s**2 + s - 3 + 3). -3*s**3 - 3*s**2 Expand (-2*f - 2*f + f)*(-3*f**2 - 2*f**2 + 4*f**2) + 3*f**3 - 3*f + 3*f. 6*f**3 Expand (-3*v + 4*v**2 + 3*v)*(-v - 4*v + 4*v) - v**3 - v**3 + 0*v**3 + 2*v**3 - 3*v**3 + 0*v**3. -7*v**3 Expand (-4*q + 2*q - 1 + 0)*(4*q - q + 0*q). -6*q**2 - 3*q Expand (-7*w - w + w + (0 + 3 - 2)*(-1 + 1 - w))*(2*w**2 + w**2 - 5*w**2). 16*w**3 Expand ((2*s**2 - 2*s**2 - 2*s**2)*(4 + 0 - 3) + 18*s + 15*s**2 - 18*s)*(-s - 2*s + 2*s). -13*s**3 Expand (3 - 1 - 3)*(2*g + 3*g - 3*g + 6*g - 2*g - 3*g - 4*g + 0*g + 3*g + (2 + 2*g - 2)*(-1 + 4 - 4) - 3*g + 0*g + 2*g - 2*g - 3 + 3 - 1 + 1 - 2*g). 5*g Expand -148*m**3 - 15*m**3 - 4*m**2 + 5*m**2 + (1 + m - 1)*(0*m**2 + 2*m**2 - m**2). -162*m**3 + m**2 Expand 2*s**5 + s**5 - 5*s**5 + (0*s + 0*s - s)*(0*s**4 + 7*s**4 - 4*s**4) - s**5 + 0*s**5 - s**5 - 2*s**5 + 3*s - 3*s. -9*s**5 Expand (5*y**2 + 2*y**2 - y**2)*(-14*y + 3*y + 0*y). -66*y**3 Expand -2*g**2 - 5*g**2 + 6*g**2 + (-2 + 2 - 2*g)*(-g + 1 - 1) - 9*g**2 + 0*g**2 - 2*g**2. -10*g**2 Expand (2*m**2 - 2*m**2 - 2*m**2)*(-1 + 2 - 3) - 8 + 2 + 12 - 2*m**2. 2*m**2 + 6 Expand (3*x**2 - 3*x**2 - 2*x**2)*(-3 - 2*x + 4 - 3)*(5 + 2 - 5). 8*x**3 + 8*x**2 Expand -2*i**2 + 3*i**3 + 2*i**2 + (-i - 2*i + 4*i)*(0*i**2 + 3*i**2 + i**2) + 2*i**3 - i**2 + i**2. 9*i**3 Expand (-4*m + 7*m - m)*((0*m + 3*m - 2*m)*(2*m - m + 0*m) + 5*m**2 - 3*m**2 + 4*m**2). 14*m**3 Expand 2*b**5 - 2*b**4 + 2*b**4 + 4*b**5 + b**5 - 3*b**5 + (0 - 2 + 4)*(5*b**5 - 2*b**5 - b**5) - 7*b**5 + 4*b**5 - 4*b**5. b**5 Expand 2*i**3 - 16 - 28*i**2 + 16 + (3 - 2 - 2)*(-i**3 - 3*i**3 + 3*i**3). 3*i**3 - 28*i**2 Expand ((3*m**2 - m**2 - m**2)*(-2 + 2 + m) + (6*m - 2*m - 2*m)*(-2*m + 2*m - m**2))*(-m + 4 - 4). m**4 Expand (0 + 0 - n**2)*(0*n**2 - 2*n**2 + n**2) - 3*n**4 - 29*n**4 - 5*n**4 + 4*n**4 - 3*n**4 - 2*n**4. -37*n**4 Expand (-3 + 6 - 2)*(t - 8 + 2*t - 4*t). -t - 8 Expand (6*k - 4*k - 4*k)*(-k - 1 + 1 + 4*k - 3*k + 0*k + (1 + 1 - 4)*(-k + 5 - 5) + k + 3*k - k + 5*k - 4*k + 0*k). -12*k**2 Expand (-5*b**4 - b**3 + b**3)*(1 - 4 + 5)*(0 + 1 + 6). -70*b**4 Expand 0*h**3 - 4*h**3 + 2*h**3 + 3*h**3 - 4*h**3 + 3*h**3 - 2 + 2 - h**3 + (-2 + 2*h + 2)*(0*h**2 + 6*h**2 - 4*h**2) - 3*h**3 + 0*h**3 + 5*h**3. 5*h**3 Expand (-2 + 2 - 2)*(-5*r + 3*r + r)*(-1 + 1 - 3). -6*r Expand 18*u**5 + 16*u**5 - 10*u**5 + (5*u**3 - 3*u**3 + 0*u**3)*(2*u**2 - 2 + 2). 28*u**5 Expand (-1 - 12*p - p**2 + 12*p)*(3*p - 3*p - 7*p). 7*p**3 + 7*p Expand -2*j**3 + 6*j**3 - 2*j**3 + (2*j - 3*j - j)*(4*j**2 - 3*j**2 + j**2) - j**3 + 2*j**3 + 2*j**3 + 2*j**3 + 0*j**3 + 0*j**3 + 2*j**3 - 1 + 1. 5*j**3 Expand (-c + 5*c - 3*c)*(6 - 3 - 2) - 5*c + 9*c + 3*c + 3*c - 5*c - 5*c. c Expand g**2 + g - g + g**2 - 3 + 3 + (g - 6*g + g)*(3*g - 2*g - 3*g). 10*g**2 Expand -3*y**2 + 7*y**2 + 0*y**2 + (-7*y - 7 + 7)*(2*y - 4*y + y). 11*y**2 Expand (3*c**4 + c**4 - 5*c**4)*(2*c + 0*c + 0*c) + 2*c**5 - 5*c**5 + 2*c**5 + (-c**4 + 0*c**4 + 2*c**4)*(8*c - 15*c - 11*c). -21*c**5 Expand (5*a**3 + 4 - 3 - 2*a**3)*(6 - 1 - 1)*(-2 + 2 - 3*a). -36*a**4 - 12*a Expand (-10 - 11 - 10)*(3*d**3 - 3*d**3 + d**5). -31*d**5 Expand 4*g**5 - 3*g**5 + g**5 + (g**5 - 5*g**5 + 5*g**5)*(2 - 2 - 2) - 3*g**5 - 9*g**5 - 5*g**5. -17*g**5 Expand (-2*b - 2*b + 2*b)*(-2 + 7 + 2). -14*b Expand -3*q**2 + 10*q**2 + 53*q**2 + 12*q**2 - q**2 + 4*q**2 - q**2 + (-3*q + 5*q + 0*q)*(-4*q + 2*q + 0*q) + 1 - 1 - q**2. 69*q**2 Expand (o**2 + o**2 - o**2)*(-2*o**3 - 3*o**3 + o**3) - o**5 +
{ "pile_set_name": "DM Mathematics" }
-2, 58, 0, 3/5, -0.6? 3/5 Which is the closest to 549? (a) 0.3 (b) -2/13 (c) 0.2 (d) -117 a Which is the nearest to -72? (a) -2 (b) -71 (c) 0 (d) 1/9 b Which is the nearest to -2/3? (a) 182 (b) -0.329 (c) -4/3 b Which is the closest to -27? (a) 3 (b) 0 (c) 68/43 b What is the closest to 22 in -0.31, 0.3, -0.2, -0.008, 7/11? 7/11 Which is the nearest to 2/7? (a) -1/3 (b) -2/21 (c) 17/10 (d) -2/3 (e) -3328 b What is the nearest to -1/5 in 4, -141/19, -4? -4 Which is the nearest to -0.1? (a) 2 (b) 17 (c) 3 (d) 9/5 (e) -167/3 d Which is the closest to -134? (a) 0.1 (b) 0.5 (c) 2/11 (d) -13 (e) -1.4 d Which is the nearest to 0.1? (a) -3 (b) 25 (c) -107 (d) -3/5 (e) -0.64 d What is the nearest to 1/2 in -102, 0, 4, 0.86, 3? 0.86 Which is the nearest to 0? (a) -2/9 (b) 4 (c) -0.032 (d) -1/11 (e) 49 c Which is the nearest to 221? (a) -8/11 (b) -0.36 (c) -0.4 (d) 4 d Which is the closest to -82738? (a) 1 (b) -3/5 (c) 2 (d) -1/7 b What is the closest to -0.2 in 137, 0.3, -4/3, -278? 0.3 What is the nearest to -1 in 16.8, -0.3, -3, -272, 0.4, -1/11? -0.3 What is the closest to 1/3 in -11, 6165.05, -0.1, -2? -0.1 Which is the nearest to 1/5? (a) 3468 (b) 4 (c) -19 (d) 0 (e) -3 (f) 1 d What is the nearest to -2/137 in 28/4337, -4, -1/2? 28/4337 Which is the closest to 2.93? (a) 4 (b) -3 (c) 3/4 (d) 0.14 (e) -94 a Which is the nearest to -2? (a) -0.101 (b) 1 (c) 251 (d) -0.3 (e) 0.9 d What is the nearest to -10.19 in 27, 18, 2/3? 2/3 What is the closest to 605 in 4, -4/9, 0.1, 0.7? 4 Which is the closest to -2/37151445? (a) 5 (b) 4 (c) -0.03 c What is the closest to -0.016 in -6, -1, 0.3, -3, 4/5, -0.21? -0.21 Which is the closest to 174? (a) 11 (b) 144/11 (c) -26 b What is the nearest to -18 in 0.1, -4007, 7/9? 0.1 Which is the closest to 39070? (a) 1/3 (b) 0.3 (c) 4/9 (d) -0.3 c Which is the nearest to -1945? (a) 3 (b) 0 (c) -0.04 (d) 1 (e) 5/4 c Which is the closest to 127? (a) 67/77 (b) 0.1 (c) 2/17 (d) 0.2 a What is the closest to -10/3 in 2, -85, 15/8, 5, -41? 15/8 Which is the nearest to 15? (a) 27 (b) 13 (c) -982 b Which is the closest to 3/36512? (a) -6 (b) -2/3 (c) -0.1 (d) 0.2 c Which is the nearest to -2/1167? (a) 9.8 (b) 1/4 (c) -8 (d) 0 d Which is the closest to 5/3? (a) -3 (b) -1/14 (c) -2 (d) -11 (e) 40 b What is the nearest to 20 in -29, -4, -1/4, 3/4, 2/7? 3/4 What is the closest to 2 in 1/2, 0.204, -0.026? 1/2 Which is the closest to -1? (a) 6 (b) 0 (c) 1 (d) -3/2 (e) 28657 d Which is the closest to 0? (a) -1/5 (b) 5 (c) 174 (d) 0 (e) 53/9 d What is the nearest to -0.1 in 11235, -1, -0.1, 1/5, -2/9? -0.1 What is the closest to 1 in 0.5, 0, -21, -2.2, 4, -69? 0.5 Which is the closest to -2148? (a) -1/45 (b) 1 (c) 5 (d) -0.5 (e) -0.3 d What is the closest to 7289 in 1/4, -31, -2? 1/4 Which is the nearest to -2/15? (a) 1/13 (b) 5 (c) -1359 a Which is the closest to -5/7? (a) 0 (b) 78 (c) -4.983 a What is the closest to -376/9 in -8, -1.6, 5/2? -8 Which is the closest to 318? (a) 0.069 (b) 1/667 (c) 4 c What is the nearest to -8 in -0.2, 356, 1, -35, -1/4? -1/4 Which is the nearest to -296.4? (a) 0.3 (b) 5 (c) -161 c Which is the closest to -179? (a) 1/5 (b) 2 (c) 3 (d) -36 (e) -2 d Which is the closest to 0? (a) -4156 (b) -4/13 (c) -18/5 b What is the nearest to -2/5 in -1/4, -1/123, 47278? -1/4 What is the closest to 54/1547 in 0.3, 3, -4? 0.3 Which is the closest to 1? (a) 2 (b) -1/9 (c) -21828946 a Which is the closest to 1/3? (a) -0.43 (b) -1/2 (c) -1198 a What is the nearest to -2 in -1, -1/40, 1.4, 0.0955? -1 What is the closest to -1 in 0.4, -127, 0.3, 142, 0? 0 What is the closest to 7 in 137, 177, 3, -0.2, -1.4? 3 Which is the closest to 1? (a) 0.08 (b) 5095 (c) -0.03 a Which is the closest to 1? (a) 1/4 (b) 6/5 (c) 1697096 b What is the closest to -1.2 in 0.3, -18, -9801/7, -2/5? -2/5 Which is the nearest to 205581? (a) -1.2 (b) -17 (c) -2/7 c Which is the nearest to 0? (a) 4/7 (b) 3 (c) -0.1 (d) -0.0893 (e) -0.5 (f) 5/2 d Which is the nearest to -0.1? (a) -15 (b) -6066 (c) 1/95 c Which is the closest to 27? (a) -0.71 (b) -14 (c) 1/16 c What is the closest to 327 in 3, 0.15, -24, -12? 3 What is the nearest to 0.116 in -4, -2/13, -132.7, 3? -2/13 Which is the closest to 0.6? (a) 570 (b) 8 (c) 0 (d) 10 (e) 3 c Which is the nearest to -38? (a) -799 (b) 0 (c) 1 (d) -5 d Which is the nearest to 130? (a) -15 (b) -3/5 (c) 1 (d) -1/3 (e) -28 c Which is the nearest to -2/7? (a) 1/3 (b) 23 (c) 273/53 a What is the nearest to 1/1829 in 22, -3, -2/7? -2/7 Which is the closest to 496.6? (a) 2/9 (b) -4/37 (c) 5 (d) -2/7 (e) -1 c What is the closest to 0 in 2/21, -0.03, 90, -11, -54? -0.03 Which is the nearest to 78? (a) 10/9 (b) 1206 (c) 2/15 a What is the nearest to 0.8 in 0.01658, 37, -0.4? 0.01658 Which is the closest to 0? (a) -88 (b) 3/62 (c) -3.1528 b Which is the closest to 1.13? (a) 0 (b) 4 (c) 35820 a What is the closest to -2 in -3/40001, -4, 0.3, -1/9? -1/9 Which is the closest to -0.1? (a) -14 (b) 1/2 (c) 5/3266 c Which is the nearest to 1/2? (a) -0.1 (b) 3/5917 (c) 447 (d) -3 b What is the closest to 2/7 in 2/13, -81, 4, -4/3? 2/13 Which is the nearest to -22/15? (a) 0.1 (b) -6 (c) 3 (d) -2/509 d Which is the closest to 3? (a) 6/7 (b) -0.02 (c) -3 (d) -2 (e) 443 a Which is the nearest to -13? (a) 0.24 (b) 1/4 (c) -1/6 (d) -174 c What is the nearest to 1149.4 in 4, 0, 2/3, -12? 4 Which is the closest to 0.09503? (a) -0.1 (b) 2 (c) 4 (d) -13/3 (e) 0.4 a Which is the nearest to 1? (a) 0.3 (b) -0.7 (c) -5 (d) 0.5 (e) 3/206 d Which is the nearest to -1? (a) -22493 (b) -2/7 (c) 267.7 b Which is the nearest to 291/4? (a) -3 (b) -2/17 (c) -5 (d) -1/277 (e) 0.06 e What is the nearest to -3/5 in -6, -2/5, -95, -0.0577? -2/5 What is the closest to 6 in 2.24, 5, 0.3, -114? 5 Which is the nearest to -26? (a) -1/8 (b) -4 (c) 40800 (d) 4 b What is the closest to 4 in 8, 0.07, -2/5, 6538? 0.07 Which is the nearest to -3? (a) -2/19 (b) 940441 (c) -4/5 c Which is the closest to 1? (a) 43.6 (b) -2/9 (c) 0.1 (d) -0.5 (e) -4 c What is the nearest to -1005 in 4, -3.2, -0.3, -4/9? -3.2 Which is the closest to -19224? (a) 6 (b) -2/7 (c) 3/8 b Which is the closest to 1/25? (a) -29862 (b) 8 (c) 5 (d) -1 (e) -2 (f) 3/5 f Which is the closest to -0.1? (a) -2 (b) 0.193 (c) 1/90 (d) 5 (e) -7.2 c What is the closest to -0.27 in 2, 0.03, -1671, -6, 0.05, -0.4? -0.4 Which is the closest to -28? (a) -2/7 (b) -4 (c) 0.7 (d) -1/4 (e) -518 (f) -2/65 b What is the closest to 2 in -0.3, -2/149, -812, 4, 1/5? 1/5 What is the nearest to -1 in 31, 0.2, 3.02, 50, -8, 0.1? 0.1 What is the nearest to 4 in 1.9, -2/3, -4, 3, 73? 3 Which is the nearest to 0.008? (a) 6 (b) 2 (c) 9.205 (d) -0.3 d What is the closest to 99/5 in -15, 1153, 0? 0 Which is the closest to -0.7? (a) 41 (b) 0.5 (c) 2136.5 b What is the closest to -172 in 0, 0.35, -92? -92 Which is the nearest to -2/7? (a) 75/56 (b) 42/31 (c) 2/5 (d) -2/7 d What is the nearest to 0.1 in -7, -1/2, -89.6, -15, -3? -1/2 Which is the nearest to -1/4? (a) 7 (b) -2/19 (c) -27/2 (d) 0 (e) -4 b What is the nearest to -0.1 in -4, -3623, -9/4, 1/12? 1/12 Which is the nearest to -21/2? (a) -3577 (b) -4 (c) -2 b Which is the closest to -1? (a) -1 (b) -3851 (c) 0.032058 a Which is the nearest to 21? (a) -0.09 (b) 0.3 (c) 3/8 (d) -2 (e) 1/6 (f) -175 c Which is the nearest to -4? (a) 0.2 (b) 4 (c) 0.5 (d) -53940.7 (e) 2 a What is the closest to 0.23 in -2/3, -2/13, -35463, 2/3? -2/13 Which is the closest to -1? (a) 3 (b) 0 (c) -3 (d) 0.0216 (e) -7 (f) -1/5 f Which is the closest to -1? (a) 0.2 (b) 0.22 (c) -3/184 (d) 3/28 (e) 0.5 (f) 6 c What is the closest to -37 in 3/544, 1, -0.1, -10? -10 What is the nearest to 1/4 in -5, -118/9, 2, -3, -1/3? -1/3 Which is the nearest to 3? (a) -3 (b) 1/3 (c) 3622 (d) 2/9 (e) -2/559 b Which is the nearest to 13? (a) -19 (b) 0.5 (c) -2/5 (d) -78162 (e) 5 (f) 3 e What is the closest to 10 in 3, -1/2, -1, 0, -1137? 3 Which is the nearest to 0.4? (a) 2 (b) 0.058688 (c) -2/7 b What is th
{ "pile_set_name": "DM Mathematics" }
second derivative of 1622539*o**3 - 578*o + 3863. 9735234*o What is the third derivative of 7798*n**4 + 14*n**3 + 5989*n**2 + 68*n wrt n? 187152*n + 84 What is the first derivative of 9*l**3 - 3000*l*n**3 + 18*n**3 - 1663*n**2 wrt l? 27*l**2 - 3000*n**3 Find the second derivative of -3908338*n**4 - n + 206166 wrt n. -46900056*n**2 Find the third derivative of 66440*i**3*n**2 + 53*i**2*n - 2*i*n**2 + 179*i*n wrt i. 398640*n**2 Find the third derivative of -54*k*q*s**3 + 145*k*q*s - 3*k*q + 5*k*s**3 - 3*k*s**2 + 127*q*s**3 + 29*q*s**2 + 2*q*s + 2*s**4 + 2*s**2 wrt s. -324*k*q + 30*k + 762*q + 48*s What is the second derivative of 3422942*i**4 - 7*i + 314421 wrt i? 41075304*i**2 What is the third derivative of -176*l**4*z**2 + 31*l**3*z**2 - 2*l**3*z - 2*l**2*z**2 - 5*l**2 - 119*l - 5*z**2 wrt l? -4224*l*z**2 + 186*z**2 - 12*z Find the third derivative of -27628*q**5 + 2*q**3 - q**2 + 14170. -1657680*q**2 + 12 Find the third derivative of 105*m**3*w**2 - 130*m**3*w - 2*m**2*w + m**2 - 5251*w**2 wrt m. 630*w**2 - 780*w What is the second derivative of -m*p**3 - 64*m*p**2 + 183750*m*p + 869*p**2 wrt p? -6*m*p - 128*m + 1738 Differentiate -128274*d**2 - 218317 wrt d. -256548*d Differentiate 1541050*c**4 + 927812 with respect to c. 6164200*c**3 Find the first derivative of -3*p**2*y - 15*p**2 - 29*p*y - 12*p + 1624747*y wrt p. -6*p*y - 30*p - 29*y - 12 Find the third derivative of -782171*t**2*u**3 - 2*t**2*u**2 - t**2 - 2*u**2 + 45719 wrt u. -4693026*t**2 Find the third derivative of 2238559*c**6 + 2718283*c**2. 268627080*c**3 What is the second derivative of -205*u**5 - 1105*u**2 + 3*u + 511370 wrt u? -4100*u**3 - 2210 What is the second derivative of 7489*f**5 + f**2 - 23882*f? 149780*f**3 + 2 Find the third derivative of 498998*j**4 - 56*j**2 + 2680 wrt j. 11975952*j Find the second derivative of 4841*b**5 - 51815*b. 96820*b**3 What is the first derivative of -13*s*u**3 - 41*s*u + 10928*u**3 + 4*u**2 wrt s? -13*u**3 - 41*u Differentiate -837616*n**2 + 2763643 wrt n. -1675232*n Find the third derivative of 13*c**3*h**2 + 4540*c**3*h - 111758*c**2*h**2 + 4*c**2*h wrt c. 78*h**2 + 27240*h Find the first derivative of 285*m**4 + 2*m**2 + 54*m - 442136. 1140*m**3 + 4*m + 54 Find the second derivative of 6*s**3*t + 25949*s**3 + s*t - 177*s + 2*t + 280 wrt s. 36*s*t + 155694*s Find the second derivative of -1310178*s**2 - 3031768*s + 2 wrt s. -2620356 What is the second derivative of -3*g**3*h**2 + 18*g**3*h + 3*g*h - 8362*h**2 - 4*h wrt h? -6*g**3 - 16724 What is the third derivative of -38535*u**6 - 14*u**3 - 49*u**2 + 6146*u wrt u? -4624200*u**3 - 84 Find the third derivative of -414249*i**4 + 12*i**2 - 280. -9941976*i Find the second derivative of 104*d**2*h*z + 46*d**2*h - 4*d**2 - 21*d*h*z + 601*d - 11*h wrt d. 208*h*z + 92*h - 8 Find the second derivative of -170050*a**2 - 5*a + 2667 wrt a. -340100 What is the third derivative of -1997*t**3*u + 9*t**3*y - 42*t**2*y - u - 37*y wrt t? -11982*u + 54*y Differentiate -242*v**4 - 17*v**3 + 2*v - 124625 with respect to v. -968*v**3 - 51*v**2 + 2 What is the third derivative of -512*p**3*s**3 - 17787*p**3*s**2 - 33*p**3*s + 389*p*s**6 wrt s? -3072*p**3 + 46680*p*s**3 Differentiate -b**3 + 23605*b + 100162 wrt b. -3*b**2 + 23605 Find the third derivative of -9428*b**4*g**2 - 3*b**4*g*y - 2*b**2*g**2*y + 2*b**2*g**2 + 14*b**2*g - 6*b**2*y + 5*g**2 wrt b. -226272*b*g**2 - 72*b*g*y Differentiate -71503*a - 49148 wrt a. -71503 Differentiate -19*l**2*u + 3*l**2 - 3*l*u - 50478*l - 179*u wrt u. -19*l**2 - 3*l - 179 Find the second derivative of 7872*w**2 + 1191*w - 2. 15744 Find the second derivative of -g**4*m - 41*g**2*m**2 + 2*g**2*m + 100*g*m**2 - 53*g*m wrt g. -12*g**2*m - 82*m**2 + 4*m Find the second derivative of 42721*d**2*g**2*y**2 - 2*d**2*g**2*y - 3*d**2 + 45*d*g + 685*d*y**2 wrt g. 85442*d**2*y**2 - 4*d**2*y What is the first derivative of 3*m**3 - 6152*m**2 - 47*m - 4196230? 9*m**2 - 12304*m - 47 What is the derivative of 229690*g**3 + 96149 wrt g? 689070*g**2 Find the first derivative of f*n**2*r + 824*f*n**2 + 23*f*r**3 + 50*f + 17*n**2*r**3 - r**3 - 3*r**2 wrt n. 2*f*n*r + 1648*f*n + 34*n*r**3 Find the third derivative of -3*i*j**3 - 3*i*j**2*w**2 - i*j*w - 47*i*w - j**4 - 12*j**3*w**2 + 2*j**2*w - 9*w**2 wrt j. -18*i - 24*j - 72*w**2 Find the third derivative of -10172*z**6 - z**4 - 2*z**2 - 1148*z - 1. -1220640*z**3 - 24*z Find the third derivative of 192633*g**3*k**2 - 14*g**2*k**2 + 510*g - 11*k**2 wrt g. 1155798*k**2 Find the first derivative of -4*b*m*q**2 + 6*b*q**3 - 26*b*q - b - 7*m**2*q**3 + 112*m**2 - 3 wrt m. -4*b*q**2 - 14*m*q**3 + 224*m What is the derivative of 237932*l**3 - 158245? 713796*l**2 What is the third derivative of 6581*p**5 + 3*p**4 + 3*p**3 + 7*p**2 - p + 8417? 394860*p**2 + 72*p + 18 What is the third derivative of -3*g**6 + 1310*g**5*r + 2*g**2*r + 177*g**2 + 3*r wrt g? -360*g**3 + 78600*g**2*r What is the second derivative of 36206*b**5 + 189661*b wrt b? 724120*b**3 What is the second derivative of -8*o**4*z - 13*o**4 - 833*o**2*z - 4189*o*z + 25*z wrt o? -96*o**2*z - 156*o**2 - 1666*z Find the third derivative of 3*o**3*t**3 - 1064991*o**3 - 2*o**2*t - 15573*o*t**3 + 2*o*t**2 + 4 wrt o. 18*t**3 - 6389946 What is the third derivative of -w**4*z**2 - 1142*w**4 - 2*w**3*z**3 + 2*w**2*z**3 + w**2*z**2 - 68*z**3 + z wrt w? -24*w*z**2 - 27408*w - 12*z**3 What is the third derivative of -437274*q**3 + 759511*q**2 wrt q? -2623644 Find the third derivative of -n**6 + 9*n**4 + 1801*n**3 - 2*n**2 + 3*n - 1290 wrt n. -120*n**3 + 216*n + 10806 What is the third derivative of -22648*o**3 - o**2 + 3638 wrt o? -135888 Find the third derivative of 111269*q**4 + 2*q**3 - 2*q**2 + 189561 wrt q. 2670456*q + 12 Find the second derivative of -17007*i**2 + 34473*i. -34014 Find the third derivative of -584*p**3*w**3 - 2*p**3*w + 2*p**3 - 3*p**2*w**3 + 25*p**2*w**2 - 3*w wrt w. -3504*p**3 - 18*p**2 What is the second derivative of 2*f**2*r**3 + 66*f**2*r - 404*f**2 + 341*f*r**3 + 117*f*r**2 wrt f? 4*r**3 + 132*r - 808 What is the third derivative of 569*z**6 - 2*z**4 + 41*z**3 + 81217*z**2 - 4*z wrt z? 68280*z**3 - 48*z + 246 What is the third derivative of 67438*u**3 - 3*u**2 + 126603*u wrt u? 404628 Differentiate -300842*i*n - 116729*i wrt n. -300842*i What is the first derivative of -800501*o**2 - 247541? -1601002*o What is the second derivative of -8428*u**2*x**2 - 8*u**2 + 3*u*x + 58*x + 1 wrt x? -16856*u**2 What is the third derivative of 5*a*o**5 - 805*a*o**2 + a*o - 3*a - 19*o**5 - 5*o**3 - o**2 wrt o? 300*a*o**2 - 1140*o**2 - 30 What is the first derivative of -1759373*j**2*x**2 - 34*j**2 + 16*j - 13 wrt x? -3518746*j**2*x Find the second derivative of -974309*a**2 - 27*a - 173 wrt a. -1948618 Find the third derivative of 287347*l**6*w + 2*l**5*w - 2*l**2*w - 3*l**2 - 31*l*w - 2*w - 5 wrt l. 34481640*l**3*w + 120*l**2*w What is the second derivative of 194*z**3 + 113*z**2 + 563*z - 6? 1164*z + 226 Find the second derivative of 344715*m**2 + 258959*m. 689430 Find the first derivative of -72300*o*s**4 + 145316*o wrt s. -289200*o*s**3 Find the first derivative of 2*m**2*u**3*z**2 - m**2*u - 1224*m*u**3*z - m*u**3 + 13*u**3 + 64 wrt z. 4*m**2*u**3*z - 1224*m*u**3 What is the third derivative of -784*a**5 + a**4 + 2*a**3 + 420*a**2 + 2*a + 3 wrt a? -47040*a**2 + 24*a + 12 Find the third derivative of j**5 - 7*j**4 - 163*j**3 - 52*j**2 + 13*j wrt j. 60*j**2 - 168*j - 978 Differentiate 3537*f*o*q**3*r - 9*f*o*q**2 + 7*f*q**3*r + 5*f*q**2*r + 115*q**3 + r with respect to o. 3537*f*q**3*r - 9*f*q**2 What is the first derivative of -210341*c**2 - 210410 wrt c? -420682*c What is the third derivative of 116281*o**4 - 148085*o**2 - 2*o? 2790744*o What is the second derivative of 116504*l**2 + 286*l - 35 wrt l? 233008 What is the second derivative of 3*b**3*f - 2*b**3 - b**2*f - 18286*b**2 + 2*b*f - 1193971 wrt b? 18*b*f - 12*b - 2*f - 36572 What is the derivative of -4*c**3*u**4 - 5274*c**3*u - 2*c**3 + 3802*c - 3 wrt u? -16*c**3*u**3 - 5274*c**3 Differentiate i*k**2*u**2 + 432541*i*u**3 - k**2*u - 10*k*u**3 - 488*k*u**2 - 2*k*u - 7*u**3 with respect to i. k**2*u**2 + 432541*u**3 Find the second derivative of 14825*k**5 - 2*k - 34844 wrt k. 296500*k**3 Find the first derivative of -2*q
{ "pile_set_name": "DM Mathematics" }
11*k(p) - 4*s(p). 391*p**3 + 2 Let g = 8066 - 8071. Let z(a) = 13*a**2 - 5*a + 9. Let d(t) = 7*t**2 - 2*t + 4. Calculate g*d(w) + 2*z(w). -9*w**2 - 2 Let y(r) = -r**2 - 3*r + 7. Let b(h) = 155. Let c(m) = 97. Let n(i) = -5*b(i) + 8*c(i). Calculate -6*n(w) + y(w). -w**2 - 3*w + 1 Let y(l) = 18221*l + 25. Let m(d) = 45555*d + 65. Determine 10*m(k) - 26*y(k). -18196*k Let u(k) = -43*k**3 + 46*k**2 - 2*k - 2. Let v(r) = -3*r**3 + r**2 - r - 1. What is u(n) - 2*v(n)? -37*n**3 + 44*n**2 Let l(m) be the third derivative of -7*m**5/60 - 2*m**3/3 + 2*m**2 - 775*m - 4. Let t(z) = -6*z**2 - z - 3. Give 4*l(v) - 5*t(v). 2*v**2 + 5*v - 1 Let g(l) = 2*l**2 - 2. Let o(u) = -128*u**2 + 32. What is 128*g(w) + 8*o(w)? -768*w**2 Let m(w) = -w**2. Let r be (1 - -9 - -2)*(-1)/3. Let q(l) be the third derivative of -l**5/12 - l**4/8 + 15*l**2 - 2*l. Calculate r*m(b) + q(b). -b**2 - 3*b Let j(i) = -140*i**3 - i + 14 + 44*i**2 - 14 + 141*i**3 - 43*i**2. Let m(x) = -x**3 - x**2 - x + 2. Determine 2*j(k) + m(k). k**3 + k**2 - 3*k + 2 Let q(c) = 2*c**2 - 13*c + 5. Let a(x) = -236*x - 471. Let g be a(-2). Let j(r) = -r**2 - r - 1. What is g*q(n) + 4*j(n)? -2*n**2 - 17*n + 1 Let o(t) = -t**2 - 3*t + 2. Let f(w) = 2*w**2 + 7*w - 4. Suppose -8*i + 20 = -4*i + z, -2*z - 26 = -3*i. Determine i*f(l) + 13*o(l). -l**2 + 3*l + 2 Let k(h) = -7*h + 9. Let v(r) = 13*r - 17. Let y(c) = c**3 + 13*c**2 - 15*c - 14. Let n be y(-14). Let x be 18/9 - (-9 - n). Give x*k(q) + 6*v(q). q - 3 Let u(w) = -23 + 83 - 11*w - 35 - 29. Let y(o) = 10*o + 4. Give 5*u(g) + 6*y(g). 5*g + 4 Let n = -1 + -2. Let b(i) = -i**2 - i - 1. Let r(o) = 10*o**2 + 168*o + 10. Let s(t) = 2*t**2 + 32*t + 2. Let d(v) = -4*r(v) + 21*s(v). Give n*b(h) - 2*d(h). -h**2 + 3*h - 1 Let m(u) = 2*u. Let j(p) = 7167*p + 2. Give j(b) - 4*m(b). 7159*b + 2 Let r(x) = x**2 - x + 1. Let v(d) = -2*d**3 + 4*d**2 - 5*d + 8. Let y be ((-2)/3)/((258/645)/(18/(-5))). Give y*r(w) - v(w). 2*w**3 + 2*w**2 - w - 2 Let b(m) = m. Let k(r) be the second derivative of -1/2*r**2 + 7/6*r**3 - r - 9. Suppose -3*c + 7 = 4. Give c*k(h) - 5*b(h). 2*h - 1 Let i(f) = -f**3 - 4*f**2 - 8*f. Let d(x) = 3*x**3 + 105*x**2 - 24*x. Calculate -2*d(t) + 6*i(t). -12*t**3 - 234*t**2 Let m(g) = -10*g + 1719. Let k(t) = -7*t + 1146. Calculate -7*k(p) + 5*m(p). -p + 573 Let f(y) = 19*y**2 + 15*y - 22. Let v be f(4). Let j = v - 339. Let p(m) = -4*m**2 - 4*m. Let h(g) = 11*g**2 + 11*g. Give j*h(w) + 8*p(w). w**2 + w Let p(f) = 6*f**2 + 4*f + 10. Let k(j) = 7*j**2 + 4*j + 9. Calculate 6*k(v) - 5*p(v). 12*v**2 + 4*v + 4 Let g(k) = 78*k**3 - 60*k**2 - 24*k + 246. Let x(l) = -16*l**3 + 13*l**2 + 5*l - 49. Calculate 5*g(r) + 24*x(r). 6*r**3 + 12*r**2 + 54 Let w(b) = -2*b**2 + 48*b + 15. Let d(n) = -5*n**2 + 168*n + 46. Calculate 3*d(k) - 8*w(k). k**2 + 120*k + 18 Let s(k) = -k**3 + 4*k**2 - 4*k + 4. Let i be s(3). Let p(j) = j - 1. Let v(d) be the second derivative of 2 - 7/6*d**3 + d**2 + 254*d. What is i*v(q) + 5*p(q)? -2*q - 3 Let z(c) = -c**2 + 1. Let w(i) = 1. Let b(v) = 6. Let t(n) = b(n) + 2*w(n). Calculate -t(y) + 8*z(y). -8*y**2 Let f(n) = -56*n**3 + 2*n**2 - 27*n - 2. Let i(a) = 164*a**3 - 7*a**2 + 81*a + 7. What is -7*f(p) - 2*i(p)? 64*p**3 + 27*p Let p(m) = -m. Suppose -50 = -5*d - 3*w + 17, 3*w + 3 = 0. Let f(q) = d + 1 - 13. Determine -f(o) + 6*p(o). -6*o - 2 Let o(b) be the third derivative of 3*b**4/8 - 11*b**3/6 + b**2 + 11369*b. Let p(m) = 3*m - 4. Give 3*o(a) - 8*p(a). 3*a - 1 Suppose 0*b = 5*b - 145. Let d = -25 + b. Let v(z) = 8*z + 4. Let g(l) = 2*l. Let u(n) = d*g(n) - 2*v(n). Let r(c) = -c - 1. What is -6*r(q) + u(q)? -2*q - 2 Let p(c) = 1824*c**2 - 9*c + 6. Let z(k) = 1856829*k**2 - 9165*k + 6110. Calculate 3055*p(x) - 3*z(x). 1833*x**2 Let c(s) = 71*s + 13. Let z(p) = -33*p - 28. Let q(n) = -67*n - 49. Let l(k) = 3*q(k) - 5*z(k). Calculate 6*c(r) + 11*l(r). 30*r + 1 Let x(f) = -8*f**3 - 4*f**2 - 60*f + 160. Let m(k) = 4*k**3 + 2*k**2 + 24*k - 79. Determine -5*m(j) - 2*x(j). -4*j**3 - 2*j**2 + 75 Let w(v) = 1384*v**2 - 205*v - 15. Let o(h) = 347*h**2 - 54*h - 4. Calculate 15*o(z) - 4*w(z). -331*z**2 + 10*z Suppose 25*z + 28*z = 1060. Let x be (-2 + 2 + 6)*z/(-15). Let f(w) = 1. Let p(q) = 2*q**2 + 8. What is x*f(o) + p(o)? 2*o**2 Let k(u) = -190967*u + 2800. Let c(w) = -2195*w + 32. What is -525*c(r) + 6*k(r)? 6573*r Let g(l) = -16*l**3 - 8*l**2 - 8*l. Let t(o) = -11*o**3 - 5*o**2 - 5*o. Let r be -3*47/(-27) - 26/117. Determine r*g(q) - 8*t(q). 8*q**3 Let h(a) = 10*a**2 - 10*a. Let x(r) = 12*r**2 - 2*r - 1. Calculate -3*h(p) + 2*x(p). -6*p**2 + 26*p - 2 Let y(z) = -96112*z**3 + 144*z**2 + 48*z - 48. Let g(q) = -10117*q**3 + 15*q**2 + 5*q - 5. Give -48*g(i) + 5*y(i). 5056*i**3 Let c(a) = -36*a**2 - 5*a + 1425. Let x(m) = 15*m**2 + 2*m - 712. Give 2*c(z) + 5*x(z). 3*z**2 - 710 Let l(c) = -165169*c**2 - 9930*c - 1986. Let y(r) = 666*r**2 + 40*r + 8. What is 4*l(i) + 993*y(i)? 662*i**2 Let x(d) = 16*d + 5. Let i(n) = -28 - 141*n + 436*n - 152*n - 117*n - 114*n. Let b be ((-8)/(-3))/(2/21). Calculate b*x(k) + 5*i(k). 8*k Let k = 7381 - 7392. Let j(b) = -3*b**3 - 3*b**2 - 2*b. Let v(w) = -14*w**3 - 16*w**2 - 11*w. Give k*j(u) + 2*v(u). 5*u**3 + u**2 Let v(r) = -13*r**2 + 5. Let j = -2 + 4. Let q(p) = 0 + j - 5*p**2 - p**2. Let t be ((-40)/(-30)*(-1)/(-2))/((-4)/(-30)). What is t*q(i) - 2*v(i)? -4*i**2 Let r(i) = -19*i - 4. Let b(s) = -39*s - 7. Suppose -3*p + 36 = -4*n, 6 = -3*p - 6*n - 18. Determine p*b(g) - 7*r(g). -23*g Let k(x) = -1. Let n(q) be the third derivative of q**4/12 + 3*q**3/2 + 1874*q**2 + 2*q. Let m(z) = -z + 2. Let i be m(6). Give i*n(l) - 36*k(l). -8*l Let d(z) = -14*z**3 + 6*z**2 + 6*z + 6. Let g(r) be the first derivative of 70*r**4 - 119*r**3/3 - 119*r**2/2 - 119*r - 12. Give 119*d(u) + 6*g(u). 14*u**3 Let t(m) = -8*m**3 + 5*m**2 - 3*m + 3. Let h be 2 - 2 - (-1 - 1). Let c = 103057 + -103054. Let w(j) = 7*j**3 - 4*j**2 + 2*j - 2. What is c*w(y) + h*t(y)? 5*y**3 - 2*y**2 Let r(w) = 6*w. Let c(m) = 8*m + 1. Let k(u) = 2*c(u) - 6*r(u). Let o(t) = 19*t - 2. Give -3*k(z) - 2*o(z). 22*z - 2 Let w(s) = 5. Let p be (-3)/5 + 4/(-10). Let y(r) = r - 1. Let n = 4305 - 4309. Give n*y(d) + p*w(d). -4*d - 1 Let j = 6411 - 6410. Let v(y) = -y**2 + 1. Let o(b) = 3*b + 1. Determine j*o(h) - 3*v(h). 3*h**2 + 3*h - 2 Let l(f) = -f**2 + 1. Suppose -5*x + 3*x + 10 = 2*i, -i + 21 = 5*x. Let n(q) = 2*q**2 - q + 1. Let g = -6 - -5. Give g*l(d) + i*n(d). 3*d**2 - d Let d(m) be the first derivative of 2*m**3/3 + m**2/2 - 4*m + 180. Let u(a) = a**3 + 7*a**2 + 4*a - 12. Determine 7*d(t) - 2*u(t). -2*t**3 - t - 4 Let h(c) = -7*c + 2 - 3*c + 0*c. Let x(l) = -205*l + 215. Let m(o) = -85*o + 89. Let i(y) = -29*m(y) + 12*x(y). Calculate 6*h(t) + 11*i(t). -5*t + 1 Let a(k) be the third derivative of k**4/12 - k**3/3 + 2*k**2 - 734*k + 5. Let j(n) = n**3 - 7*n + 7. Give -7*a(o) - 2*j(o). -2*o**3 Let k = 711 + -719. Let s(d) = -2*d - 8. Suppose -3*c = -2 - 7. Let z(p) = -p - 3. Calculate c*s(m) + k*z(m). 2*m Let q(u) = u - 1. Let p(i) be the third derivative of -i**3/3 + 72*i**2. Suppose -5*f - 29 = 4*h, 0*h + 2 = 3*h - f. Give h*p(a) + 2*q(a). 2*a Let s(m) = -23*m**2 + 2*m - 5. Let l(h) = 8*h**2 - h - 1. Let w(b) = b**2 + 1. Let r(t) = -l(t) - 3*w(t). Determine 5*r(n) - 2*s(n). -9*n**2 + n Let u(f) = 39683*f**2 + 9*f - 9. Let x(w) = 69446*w**2 + 16*w - 16. What is 16*u(r) - 9*x(r)? 9914*r**2 Let g(v) = -v**3 + 5*v**2 + v + 1. Let r(t) = -22*t**3 - 32*t**2 - 4*t - 9. Determine -6*g(l) - r(l). 28*l**3 + 2*l**2 - 2*l + 3 Let r(q) = q**2 + q - 1. Let o(p) be the first derivative of -17*p**3 - 17*p**2/2 + 17*p + 448. What is -o(b) - 17*r(b)? 34*b**2 Let x be (-57 - -59)/(2 - 4). Let q(n) = 3*n**3 + n**2 - 10*n. Let t(l) = l**3 - l**2 - l. What is x*t(u) + q(u)? 2*u**3 + 2*u**2 - 9*u Let d(m) = 3*m**3 - 16*m**2 + 170*m + 2. Let p(x) = 5*x**3 - 36*x**2 + 338*x + 4. Give 9*d(u) - 4*p(u). 7*u**3 + 178*u + 2 Let r(b) = -619*b - 5. Let x(u) = -2478*u - 22. Give -18*r(q) + 4*x(q). 1230*q + 2 Let x(n) = -2*n**3 + 18*n - 2. Let j(f) = -24704 + 12368 - 17*f + 12339 + 2*f**3. What is 2*j(v) + 3*x(v)? -2*v**3 + 20*v Let t(g) = -7*g - 4. Let v be -5 + 2/(2*-1). Suppose 5*h = 2*p + 4, -5*p - 158 = -4*h - 148. Let c = v - h. Let m(y) = 20*y + 11. Determine c*m(d) - 17*t(d). -d + 2 L
{ "pile_set_name": "DM Mathematics" }
icked without replacement from hxhxhhxxhhhxhhhhhhh. What is prob of sequence hxhh? 455/3876 Three letters picked without replacement from {t: 2, i: 1, h: 1, m: 1, r: 2, d: 1}. What is prob of sequence irh? 1/168 Three letters picked without replacement from iiiiritritiiriritiit. Give prob of sequence rtr. 2/285 Three letters picked without replacement from {a: 2, h: 2, k: 1, l: 1, m: 1, q: 1}. What is prob of sequence lma? 1/168 Calculate prob of sequence cc when two letters picked without replacement from {c: 5, v: 14}. 10/171 Calculate prob of sequence xq when two letters picked without replacement from uuqppxpppupq. 1/66 What is prob of sequence tc when two letters picked without replacement from cexmetee? 1/56 Calculate prob of sequence dc when two letters picked without replacement from ytwdyyytcwywt. 1/156 Three letters picked without replacement from {x: 7, y: 1}. What is prob of sequence xxx? 5/8 Calculate prob of sequence ixxi when four letters picked without replacement from xixixixiiixxiiix. 9/130 Two letters picked without replacement from hdpzzpkhphnphzkpphzp. What is prob of sequence dh? 1/76 Calculate prob of sequence ojx when three letters picked without replacement from zzzxxxozzozzojjoox. 5/612 Two letters picked without replacement from {v: 5, m: 7}. What is prob of sequence mm? 7/22 What is prob of sequence gv when two letters picked without replacement from gvikj? 1/20 Four letters picked without replacement from {f: 1, e: 2, n: 1, u: 3, i: 1, y: 4}. What is prob of sequence ieuf? 1/1980 What is prob of sequence ybx when three letters picked without replacement from byeeebylelleex? 1/546 Calculate prob of sequence ckk when three letters picked without replacement from ckluk. 1/30 Four letters picked without replacement from {s: 9, o: 5}. Give prob of sequence osso. 60/1001 What is prob of sequence csc when three letters picked without replacement from scccccsccs? 7/40 Calculate prob of sequence rr when two letters picked without replacement from {r: 2, z: 4, c: 1, v: 1, w: 1}. 1/36 Four letters picked without replacement from mjvwmvwjm. Give prob of sequence vvmw. 1/252 What is prob of sequence ys when two letters picked without replacement from syrs? 1/6 What is prob of sequence jjee when four letters picked without replacement from ejjjejj? 1/21 Four letters picked without replacement from iioxxwqc. What is prob of sequence wcox? 1/840 Two letters picked without replacement from {d: 4, j: 7}. Give prob of sequence dj. 14/55 Calculate prob of sequence eq when two letters picked without replacement from qqeqqqqqqqqqqqqqqqqq. 1/20 Three letters picked without replacement from {t: 17, h: 2}. Give prob of sequence htt. 16/171 Three letters picked without replacement from cihhicihhhxhichzycz. Give prob of sequence zyz. 1/2907 Two letters picked without replacement from htttmjmmkmk. Give prob of sequence tm. 6/55 What is prob of sequence vv when two letters picked without replacement from {h: 6, n: 3, x: 3, v: 3}? 1/35 Two letters picked without replacement from aaaaaaaaa. Give prob of sequence aa. 1 Two letters picked without replacement from {o: 6, t: 2}. What is prob of sequence tt? 1/28 Three letters picked without replacement from kvkkkrrkmkkukumkuur. What is prob of sequence mum? 4/2907 Calculate prob of sequence ffo when three letters picked without replacement from fofoof. 3/20 Two letters picked without replacement from {f: 2, n: 8, k: 2, w: 2}. Give prob of sequence kw. 2/91 Two letters picked without replacement from kkkkkkkkkkkgkkkklk. Give prob of sequence gl. 1/306 Two letters picked without replacement from qsqqssdsqqdq. Give prob of sequence dq. 1/11 Calculate prob of sequence wd when two letters picked without replacement from {n: 3, w: 1, d: 1}. 1/20 What is prob of sequence ji when two letters picked without replacement from ijzzjjizzjzjii? 10/91 Four letters picked without replacement from vettuvtt. What is prob of sequence tttu? 1/70 Calculate prob of sequence jp when two letters picked without replacement from ljcpuuyl. 1/56 Three letters picked without replacement from {w: 4, m: 2, j: 8, u: 2}. Give prob of sequence wmm. 1/420 What is prob of sequence jxxj when four letters picked without replacement from {j: 2, x: 2}? 1/6 Calculate prob of sequence sase when four letters picked without replacement from {e: 4, s: 3, m: 3, l: 3, a: 6}. 1/646 What is prob of sequence efef when four letters picked without replacement from feeefffefff? 7/110 Two letters picked without replacement from xbqxzqzjzzxxjzqjzzz. Give prob of sequence qb. 1/114 Calculate prob of sequence dggg when four letters picked without replacement from {t: 3, g: 3, a: 4, o: 5, d: 4}. 1/3876 Four letters picked without replacement from ssjsjsj. Give prob of sequence jssj. 3/35 What is prob of sequence geqo when four letters picked without replacement from qeomg? 1/120 What is prob of sequence cs when two letters picked without replacement from zbccsvcvsccscvv? 3/35 What is prob of sequence vvv when three letters picked without replacement from {v: 10, b: 2}? 6/11 What is prob of sequence jkj when three letters picked without replacement from jjwbwjswwqjk? 1/110 Two letters picked without replacement from {u: 5, i: 3, f: 5, j: 1, p: 6}. Give prob of sequence pj. 3/190 Four letters picked without replacement from {d: 13, x: 5}. Give prob of sequence dxdx. 13/306 What is prob of sequence grej when four letters picked without replacement from {g: 3, r: 4, j: 2, e: 8}? 2/595 Three letters picked without replacement from ccccczizzzoco. Give prob of sequence ioo. 1/858 Calculate prob of sequence whcw when four letters picked without replacement from wcyqwvwwywwhhywwwq. 1/510 Three letters picked without replacement from boqaqayoqo. Give prob of sequence bao. 1/120 Two letters picked without replacement from uqrqrrq. Give prob of sequence rr. 1/7 What is prob of sequence iiii when four letters picked without replacement from iiossssssisiisiisis? 35/1938 Three letters picked without replacement from {w: 13, s: 5}. Give prob of sequence sws. 65/1224 Three letters picked without replacement from {f: 3, q: 2}. What is prob of sequence qqf? 1/10 Two letters picked without replacement from {y: 1, q: 1, m: 1, w: 1, x: 2, b: 2}. Give prob of sequence wy. 1/56 What is prob of sequence pppp when four letters picked without replacement from {p: 6}? 1 Two letters picked without replacement from hwduodwsuhuw. What is prob of sequence hs? 1/66 Calculate prob of sequence ml when two letters picked without replacement from vml. 1/6 Three letters picked without replacement from {z: 7, u: 7}. What is prob of sequence uuu? 5/52 Two letters picked without replacement from {x: 7, j: 1, z: 2}. What is prob of sequence zx? 7/45 Three letters picked without replacement from hyhnpmhymppphuhnymh. What is prob of sequence ynm? 1/323 Three letters picked without replacement from {f: 2, q: 4}. Give prob of sequence qqf. 1/5 Two letters picked without replacement from {i: 2, c: 3, b: 4, k: 9}. Give prob of sequence cc. 1/51 What is prob of sequence hccc when four letters picked without replacement from chcchhppcpppphcp? 1/182 What is prob of sequence ggg when three letters picked without replacement from nngngngngnnnnnnnnn? 1/204 What is prob of sequence tjt when three letters picked without replacement from {t: 5, j: 7}? 7/66 What is prob of sequence iy when two letters picked without replacement from {y: 3, i: 4}? 2/7 Two letters picked without replacement from ncnckcnn. What is prob of sequence cn? 3/14 What is prob of sequence hpf when three letters picked without replacement from hepmuhf? 1/105 Four letters picked without replacement from {f: 1, c: 1, t: 1, w: 1, q: 8}. What is prob of sequence qtwq? 7/1485 Calculate prob of sequence an when two letters picked without replacement from tnatt. 1/20 Two letters picked without replacement from {s: 2, l: 2}. What is prob of sequence ss? 1/6 What is prob of sequence ss when two letters picked without replacement from flgalsgsgfgu? 1/66 Calculate prob of sequence ooi when three letters picked without replacement from iiiiirikdidikrryoro. 8/2907 What is prob of sequence atf when three letters picked without replacement from {f: 1,
{ "pile_set_name": "DM Mathematics" }
for g. 74 Solve -24*x - 220586 = -220586 for x. 0 Solve -5769*l = -5839*l + 560 for l. 8 Solve -2109 + 2541 = -18*y for y. -24 Solve 476 = 262*t - 5812 for t. 24 Solve -185*o - 21396 - 8284 = 395*o - 50*o for o. -56 Solve -563*v = -14*v + 502*v - 135579 for v. 129 Solve 525 = -250*v - 2231 - 2744 for v. -22 Solve -2405 = -83*v + 2077 for v. 54 Solve 36600963*u - 18894 = 36601245*u for u. -67 Solve -463305 = 4298*w - 110869 for w. -82 Solve -112*f - 7*f + 22*f - 1261 = 0 for f. -13 Solve 544*l = 947*l - 7657 for l. 19 Solve 0 = -112*l - 88*l + 66*l + 5494 for l. 41 Solve 1871*d + 32279 = -10754 for d. -23 Solve -91*x + 50616 = -285*x - 345*x - 145*x for x. -74 Solve -172 - 683 = -239*f - 3275 - 3316 for f. -24 Solve -7257 - 1680 = -205*r + 11358 for r. 99 Solve -577*n + 20048*n - 46606 - 22825 = 164221 for n. 12 Solve 176*y = 351*y - 638*y - 1092*y - 43540 for y. -28 Solve -878*j + 470*j + 274*j - 15812 = 0 for j. -118 Solve 148*q - 1309 = 3841 - 414 for q. 32 Solve 501*m + 35284 = -2394 + 3610 for m. -68 Solve 28938 = 8*d + 28586 for d. 44 Solve -101578 + 175537 = -6116*p - 127869 for p. -33 Solve -1950*h + 2348*h + 3696*h - 280335 = -4401*h for h. 33 Solve -54*j = 1426289 - 1425263 for j. -19 Solve -145*q + 1346170 = 1352115 for q. -41 Solve -32*r - 255 - 84 + 1 = 1102 for r. -45 Solve -140*a + 3440 + 1485 = -4035 for a. 64 Solve 36055 = -53*c + 40136 for c. 77 Solve -3458*c - 6293*c + 158506 - 395547 = 221256 for c. -47 Solve -1556*y = -266*y - 15480 for y. 12 Solve 2531*t - 99189 = 300*t + 13784 + 72200 for t. 83 Solve -20 - 110 = 14*n - 18 for n. -8 Solve -347214*p + 347209*p = 60 for p. -12 Solve 5124462*w = 5124982*w + 28080 for w. -54 Solve 74*x + 15334 = -253*x - 3632 for x. -58 Solve -12*o + 31*o + 49*o = 2108 for o. 31 Solve -731*a - 4593 - 33419 = 0 for a. -52 Solve 3987*t + 484301 = -7796*t - 328726 for t. -69 Solve -19574 = -19*x + 176*x + 782*x - 71219 for x. 55 Solve 0 = 378*h - 419 - 24151 for h. 65 Solve -317*d + 2646*d = -1305*d - 283452 for d. -78 Solve 0*d + 9015 = -88*d + 5935 for d. -35 Solve 10*u + 428099 - 214034 - 214445 = 0 for u. 38 Solve -7330*c - 324007 + 4122502 = 26285*c for c. 113 Solve -2133*j + 231186 = -2307*j - 4188*j for j. -53 Solve 1405011 - 1270799 = 1157*t for t. 116 Solve -87681 = 449*u - 158*u - 85935 for u. -6 Solve 11*q + 5159 = -13*q + 63*q + 28*q for q. 77 Solve 196*x + 47377 = 65*x + 48949 for x. 12 Solve 6030 = 292*t - 1240 - 805 - 7401 for t. 53 Solve 10200 - 23365 = 708*u + 18406 + 28609 for u. -85 Solve 5*k + 34*k + 34338 = -323*k + 8*k for k. -97 Solve -60*i - 2717 + 6797 = 0 for i. 68 Solve -8697 = -697*r + 36*r - 3409 for r. 8 Solve -10207 + 10304 = -l for l. -97 Solve 205*z - 271*z = -473*z - 827*z - 141910 for z. -115 Solve 588*z + 341*z = 704*z - 6075 for z. -27 Solve 2*w = 15*w - 80 - 375 for w. 35 Solve -32769192*l = -32768918*l + 10960 for l. -40 Solve 20*b - 19*b - 17*b = -78*b - 992 for b. -16 Solve 56799 + 65996 - 10788 = -1662*s + 2315 for s. -66 Solve 880*a = 847*a - 2145 for a. -65 Solve -638*z + 362*z = 458*z - 12473 - 33769 for z. 63 Solve 0 = -1682*c - 635*c - 2132*c - 351471 for c. -79 Solve 188*u + 333*u = -400*u + 14506 + 18650 for u. 36 Solve 8714*p + 2296*p - 6765 = 257475 for p. 24 Solve -2172*h - 7119 = -2285*h for h. 63 Solve 4796*h = 2487*h + 2524*h + 19135 for h. -89 Solve -1687 + 903 = -202*z - 11490 for z. -53 Solve 15138*x - 1377 = 15165*x for x. -51 Solve 73500 = 691*z + 442*z - 83*z for z. 70 Solve -v - 60*v + 316 = -477 for v. 13 Solve 174*w - 24605 = 78*w - 304*w - 265*w for w. 37 Solve -71708 + 24176 = -466*v for v. 102 Solve -1122*l = -6090*l + 14904 for l. 3 Solve 481*s + 577*s - 22619 - 14411 = 0 for s. 35 Solve 11342 - 178828 = 1188*n - 4829*n for n. 46 Solve -9536*i - 2087*i - 1132174 + 144219 = 0 for i. -85 Solve -7*k + 9213341 - 9212991 = 0 for k. 50 Solve 1907*p = 1214*p + 1018*p + 13000 for p. -40 Solve 2241*a + 1239*a + 497640 = 0 for a. -143 Solve -5499*q + 2310*q = 178584 for q. -56 Solve 2 + 0 - 1 = -254*s + 1 for s. 0 Solve -221*o + 408*o = 1030 - 10133 - 6044 for o. -81 Solve 158*z - 29240 = -237*z + 1857*z for z. -20 Solve -12881 + 21167 = -820*n - 14803 - 14631 for n. -46 Solve 2800 = -1046*f + 16648 + 46172 + 21568 for f. 78 Solve 5225*f = -2205*f - 1413*f + 344877 for f. 39 Solve -437*l - 187*l - 57449 = -37*l - 14011 for l. -74 Solve 667*q + 591*q = 1312*q - 162 for q. 3 Solve -6171 + 28802 = 1386*f - 209*f - 40927 for f. 54 Solve 39510*r - 38329*r + 54326 = 0 for r. -46 Solve -872*m - 12*m - 11492 = 0 for m. -13 Solve 0 = -2873*v - 105955 + 11146 for v. -33 Solve 16776*f = 9905*f + 75581 for f. 11 Solve 1236*g - 625*g - 642*g - 1457 = 0 for g. -47 Solve 3072*y - 34732 = 45140 for y. 26 Solve 4*w - 156*w + 1126*w + 238*w - 39996 = 0 for w. 33 Solve -113170 + 351924 = -3914*r for r. -61 Solve 4053344*j = 4053379*j - 3745 for j. 107 Solve -594 = -895*y + 598*y for y. 2 Solve -117078 = 1036*v - 4038*v for v. 39 Solve -5855*i - 1638 = -5894*i for i. 42 Solve 0 = -52942*s + 53035*s + 1767 for s. -19 Solve 0 = 80*n - 1143 - 1953 - 1104 + 520 for n. 46 Solve 2781 = -64873*u + 64976*u for u. 27 Solve 727 = 38*s - 1227 + 154 + 166 for s. 43 Solve 1637*r - 1523*r = 1596 for r. 14 Solve 9819 + 4469 = 339*t - 4690 + 5757 for t. 39 Solve 0 = -6241*f + 6143*f - 5978 for f. -61 Solve -3*y - 925 = -50*y + 45 + 910 for y. 40 Solve 0 = 6*o + 4*o + 109*o - 4403 for o. 37 Solve 4403*z = 2395*z + 160640 for z. 80 Solve 307*l + 274*l = -54*l + 180*l - 20930 for l. -46 Solve -98*y - 4300 = 2398 - 2386 for y. -44 Solve 16352 = -1665*t - 45253 for t. -37 Solve -366*o - 263*o = -595*o - 238 for o. 7 Solve -3767 + 8994 - 1001 = -1102*l - 7896 for l. -11 Solve -557*i - 211*i - 24624 = 528*i for i. -19 Solve -4969 = 1729*k + 29628 - 200581 for k. 96 Solve 0 = -15939*y + 15919*y - 60 for y. -3 Solve -1561*z + 10170 + 98422 + 2736 = 711*z for z. 49 Solve -19*m + 36*m + 5580 = 82*m + 59*m for m. 45 Solve 63560 = -16657*x + 18473*x for x. 35 Solve 138*y - 2788 = 49*y - 652 for y. 24 Solve 427 = -926*t + 651 - 2215 - 787 for t. -3 Solve 351*l + 5907 + 3922 + 2082 = -14414 for l. -75 Solve 123123 = 3006*h - 805*h + 956*h for h. 39 Solve -5613 - 6232 = -625*z + 8155 for z. 32 Solve 173*q - 7757 - 771 = 1232*q + 20065 for q. -27 Solve 14716 = 32*w - 55*w - 260*w for w. -52 Solve -582*q - 1193*q - 252*q + 76*q + 37069 = 0 for q. 19 Solve 912*a - 2223 = -13177 - 33734 for a. -49 Solve 10361*p - 5024*p + 19646 = 5128*p for p. -94 Solve -6270*z = -3139*z - 3208*z - 2387 for z. -31 Solve 72208*k - 72398*k + 24130 = 0 for k. 127 Solve 180*y - 1565 = 15*y - 148*y for y. 5 Solve 48550 = 4209*d - 35630 for d. 20 Solve 7650 = -8*h - 62*h - 64*h - 19*h for h. -50 Solve -9343*a + 574342 = -173098 for a. 80 Solve -235*t - 387 + 34 = -6463 for t. 26 Solve 31*z + 282*z + 3933 = 142*z for z. -23 Solve -24*n - 3487749 + 3489621 = 0 for n. 78 Solve -271074 - 291094 + 104920 = -5196*v for v. 88 Solve 119*q - 5835 - 1755 = -1275 + 8203 for q. 122 Solve -7118083 = 68*s - 7114139 for s. -58 Solve 1534*o + 9491 = 22082 + 13487 for o. 17 Solve -67*p + 48*p = 48*p + 141*p - 14976 for p. 72 Solve 75*i + 16802 - 17552 = 0 for i. 10 Solve 6*i = 72*i - 302 - 621 - 463 for i. 21 Solve 92*z - 1684842 + 1695054 = 0 for z. -111 Solve -952 - 60187 - 81836 = -1505*p for p. 95 Solve 493*a + 1549*a + 1331*a + 109362 = -96391 for a. -61 Solve -12839*i - 4140*i - 1273425 = 0 for i. -75 Solve 10628 = -863*o - 1377 + 2512 for o. -11 Solve 0 = 19*h + 126624 - 125503 for h. -59 Solve 4189 + 81351 = 2302*c - 1936 for c. 38 Solve 264*i = -1256*i - 158727 + 29527 for i. -85 Solve 3832*n = 1884*n - 9740 for n. -5 Solve -723*j - 420*j + 29376 = -225*j for j. 32 Solve 46460 = 129*p - 85*p + 360*p for p. 115 Solve 14*x + 397 - 104 - 769 = 0 for x. 34 Solve -2058 - 15276 = 859*y + 7577 for y. -29 Solve -6385*p + 15555 = -4261 - 2689 - 9420 for p. 5 Solve -983*l + 820 = 23429 for l. -23 Solve -181*q + 5316 + 4172 = 2191*q for q. 4 Solve 12575 + 425 = 260*t for t. 50 Solve 86*k = 31*k + 30*k - 525 for k. -21 Solve 14*u = 4*u + 95 - 25 for u. 7 Solve -2714 = -4745*o + 4995*o + 536 for o. -13 Solve 1014*l + 14152 = 1246*l for l. 61 Solve -700*a + 242*a + 6870 = 0 for a. 15 Solve -21891*p + 21503*p + 5467 + 7222 = -2831 for
{ "pile_set_name": "DM Mathematics" }
-3a2a In base 12, what is -5 - -3592? 3589 In base 10, what is 2357 - -5? 2362 In base 4, what is -10012 + 0? -10012 In base 2, what is -11000100110 - -11? -11000100011 In base 11, what is -19 - 7? -25 In base 6, what is -5 - 52145? -52154 In base 12, what is -a + a? 0 In base 7, what is -11 - 210? -221 In base 4, what is -2 - 1231? -1233 In base 6, what is -4 - -500? 452 In base 11, what is -952 - 1? -953 In base 6, what is -13040 - 5? -13045 In base 12, what is -32b + 0? -32b In base 14, what is -406 - 3? -409 In base 6, what is -4 + 2254? 2250 In base 8, what is 77 - 3? 74 In base 4, what is 1032 + -102? 330 In base 7, what is -516 + 3? -513 In base 12, what is 44 + 21? 65 In base 12, what is -6 + -5b? -65 In base 3, what is 2111 + -100? 2011 In base 10, what is 291 - 0? 291 In base 9, what is 4 + 108? 113 In base 8, what is 2 - 123? -121 In base 4, what is 101303 + -2? 101301 In base 15, what is -5 + -1bab? -1bb1 In base 15, what is -4 + -6? -a In base 10, what is 68 - -90? 158 In base 8, what is 335 - 0? 335 In base 9, what is -181 + -3? -184 In base 14, what is -7c + -1? -7d In base 16, what is -ca + -4? -ce In base 3, what is 0 - 2021? -2021 In base 14, what is -4 - -876? 872 In base 5, what is 0 + -2313? -2313 In base 14, what is -5 - -b6? b1 In base 5, what is -2 + 4240? 4233 In base 2, what is 10 - -101111? 110001 In base 14, what is 2a - 1? 29 In base 4, what is 0 + -213? -213 In base 10, what is 5 + -1757? -1752 In base 2, what is 110000 - -101? 110101 In base 15, what is 3 + -7? -4 In base 3, what is 10 + 20110012? 20110022 In base 6, what is 34 - 4? 30 In base 7, what is 4 - -341? 345 In base 8, what is 253 + 31? 304 In base 2, what is -1001 + 111001? 110000 In base 15, what is 3da - 6? 3d4 In base 13, what is -215 + c? -206 In base 10, what is -95 - -4? -91 In base 14, what is 37 + -8? 2d In base 4, what is 23221 - -2? 23223 In base 15, what is 42 - 8? 39 In base 2, what is -11 + -11011000? -11011011 In base 13, what is 33 - 1? 32 In base 10, what is -146 - -5? -141 In base 8, what is -13 - -10? -3 In base 8, what is 261 + 120? 401 In base 7, what is -13 - -20? 4 In base 11, what is 144 + 1? 145 In base 9, what is 5 - 77? -72 In base 7, what is 2144 - 4? 2140 In base 2, what is 111001010010 - -111? 111001011001 In base 8, what is 145 + 0? 145 In base 9, what is -482 + 4? -477 In base 5, what is 1 + 401? 402 In base 14, what is -5 + a? 5 In base 4, what is 1222 + 1? 1223 In base 8, what is 1 - -125? 126 In base 12, what is 1 - 167? -166 In base 7, what is -3 - -13400? 13364 In base 11, what is -5 - 245? -24a In base 14, what is 8 - -18? 22 In base 11, what is 552 + -4? 549 In base 10, what is 5 - -58? 63 In base 5, what is -2220 - 2? -2222 In base 7, what is 1526 - 1? 1525 In base 14, what is 3 + 3d? 42 In base 5, what is 3 - -43224? 43232 In base 3, what is -2000 + 111? -1112 In base 9, what is -241 + 4? -236 In base 4, what is 10 + -102110? -102100 In base 14, what is -1a4 + 3? -1a1 In base 8, what is 67 + 0? 67 In base 14, what is -2708 - 4? -270c In base 15, what is 11 - 30d? -2ec In base 5, what is -131 - 4? -140 In base 4, what is -3212 + -13? -3231 In base 15, what is 3 - 1d? -1a In base 14, what is -126 + -3? -129 In base 2, what is 11 - -100010111? 100011010 In base 10, what is 42 + -58? -16 In base 15, what is -30 - 2? -32 In base 3, what is -12 + 10? -2 In base 7, what is -3 - 113? -116 In base 14, what is 1a22 - 3? 1a1d In base 15, what is -5 - -364? 35e In base 8, what is -16 + -13? -31 In base 6, what is -3520 + 23? -3453 In base 4, what is -3312 - -123? -3123 In base 7, what is 12 + 1130? 1142 In base 11, what is -3 - 1184? -1187 In base 9, what is 1 + 101? 102 In base 9, what is -12 - 30? -42 In base 7, what is 51 + 3? 54 In base 15, what is 1 + 10c? 10d In base 10, what is 1797 + -3? 1794 In base 10, what is -2 + 45? 43 In base 16, what is -9 - -15? c In base 14, what is c + b? 19 In base 16, what is -1 - -4a2? 4a1 In base 13, what is -47 + -c? -56 In base 9, what is 77 + -52? 25 In base 4, what is -123 - -12? -111 In base 5, what is 440 - 3? 432 In base 10, what is -64 + -8? -72 In base 11, what is -2 - -1260? 1259 In base 15, what is -1e + 2? -1c In base 9, what is 370 - 2? 367 In base 6, what is 0 + -103? -103 In base 9, what is 4 - -141? 145 In base 6, what is 11 - 321? -310 In base 5, what is 22142 - 0? 22142 In base 11, what is -2 - -499? 497 In base 12, what is b7 - 0? b7 In base 10, what is -2415 + 3? -2412 In base 3, what is 201 + 1001? 1202 In base 8, what is -3 + 553? 550 In base 3, what is 0 - 22100? -22100 In base 11, what is -3 + -145? -148 In base 2, what is -1010 + -10001110010? -10001111100 In base 13, what is -16 - 26? -3c In base 9, what is -10 - -2266? 2256 In base 12, what is 1a - 12? 8 In base 6, what is -10545 - 5? -10554 In base 12, what is 4 - 0? 4 In base 8, what is 627 + -25? 602 In base 9, what is 24 - -215? 240 In base 10, what is 1 + -145? -144 In base 12, what is -4 - 2? -6 In base 3, what is 2110011 + -20? 2102221 In base 9, what is -120 - 34? -154 In base 7, what is 1 + -65? -64 In base 12, what is -11 + 3? -a In base 12, what is 7 + -b43? -b38 In base 9, what is -25 + 15? -10 In base 15, what is -5 - -94? 8e In base 15, what is 638 - 1? 637 In base 10, what is 6981 - 3? 6978 In base 15, what is 25 - 2? 23 In base 15, what is -10e - -a? -104 In base 10, what is 317 + -5? 312 In base 4, what is 13 + -11? 2 In base 11, what is -8 - -43? 36 In base 12, what is 5 + 9? 12 In base 2, what is -1001011000 + -1? -1001011001 In base 10, what is 10 + 94? 104 In base 16, what is -3b6f - -2? -3b6d In base 10, what is 11 - 45? -34 In base 5, what is 10 + -3023? -3013 In base 7, what is 34444 + 4? 34451 In base 3, what is 10011 + 2? 10020 In base 10, what is 669 + 12? 681 In base 10, what is -850 - -2? -848 In base 10, what is 2 + -47? -45 In base 6, what is -1335 + 5? -1330 In base 16, what is 30 - 23? d In base 16, what is 8 + d7? df In base 4, what is 122 + -23? 33 In base 16, what is 35 + 4? 39 In base 13, what is -4 - -70? 69 In base 11, what is 79 - 1? 78 In base 11, what is 45 - 180? -136 In base 16, what is -1c8 - -2? -1c6 In base 5, what is 0 - 202? -202 In base 5, what is -2 + -12042? -12044 In base 8, what is 30 + 20? 50 In base 14, what is 179b - 4? 1797 In base 2, what is 100 + 1000000010? 1000000110 In base 7, what is -3 - -2441? 2435 In base 4, what is 2 - -120? 122 In base 12, what is 1 - -4? 5 In base 3, what is 102202 + -1? 102201 In base 9, what is 4 - 364? -360 In base 10, what is -5 - 827? -832 In base 13, what is -3 + -81? -84 In base 10, what is 44 - -5? 49 In base 12, what is 4 - 159? -155 In base 15, what is -3abc + -3? -3ac0 In base 11, what is -59 - 39? -97 In base 15, what is 5 + -1151? -114b In base 7, what is 2160 + 12? 2202 In base 14, what is 5 + -518? -513 In base 7, what is -54 + -315? -402 In base 7, what is 3056 + 5? 3064 In base 11, what is 2 + 8a? 91 In base 9, what is 2 + 1624? 1626 In base 9, what is 64 - 2? 62 In base 11, what is 5 + 9a4? 9a9 In base 15, what is a + 67? 72 In base 3, what is -11211 + -1? -11212 In base 5, what is 0 + 22422? 22422 In base 4, what is -3 - -1310? 1301 In base 11, what is -5 + 17? 12 In base 10, what is 0 + 364? 364 In base 16, what is 544 - 0? 544 In base 3, what is 22 - 10? 12 In base 4, what is 30030 - 0? 30030 In base 7, what is 1 + 3366? 3400 In base 9, what is 67 - 3? 64 In base 9, what is -1345 + 10? -1335 In base 15, what is -5 + -1a? -20 In base 9, what is 44 + 130? 174 In base 3, what is -1021110 - 1011? -1022121 In base 2, what is 1011111010 - 110? 1011110100 In base 9, what is -1 + -110? -111 In base 13, what is 81 + -58? 26 In base 8, what is -26 + 22? -4 In base 2, what is -100 - 1101? -10001 In base 16, what is -5 + 176? 171 In base 7, what is -10 - 5443? -5453 In base 11, what is -753 + 4? -74a In base 13, what is 6 - -1723? 1729 In base 11, what is -1063 + 14? -104a In base 16, what is bd + -5d? 60 In base 10, what is -30 - -301? 271 In base 2, what is 101 - -110001? 110110 In base 4, what is 11 + -222? -211 In base 7, what is 40604 + 2? 40606 In base 10, what is -792 + 33? -759 In base 2, what is -10101011 + -111? -10110010 In base 13, what is 1113 + 0? 1113 In base 16, what is 1 + -e? -d In base 16, w
{ "pile_set_name": "DM Mathematics" }
**3 + 8*r**2 + 5*r + 8. Let v be x(-6). Let b = v - d. Calculate the remainder when 46 is divided by b. 12 Let q(v) = 2*v**3 + 10*v**2 - 46*v - 66. Let t = 4 - 0. Suppose 2*u + 74 = 4*r, 0 = 5*r - 0*u + t*u - 60. Calculate the remainder when q(-7) is divided by r. 12 What is the remainder when (-7)/((-7)/(-13)) - -192 is divided by 24? 11 Let q = 80 + -54. Let t = 1228 - 1050. What is the remainder when t is divided by q? 22 Let z be -4 + ((-103)/(-3))/(1/3). Let i = z + -65. What is the remainder when 155 is divided by i? 19 Let i be 18/(-4)*4/(-24)*4. Suppose 0 = -i*l + 4*n + 138, -9*n + 7*n + 6 = 0. Suppose d = 2, 2*t - 3*d = d + 386. What is the remainder when t is divided by l? 47 Suppose 0 = -v + 4*c - 3 - 1, 3*c = 4*v + 16. Let i be -1 - (v/20 - (-987)/(-15)). Let x = i - 55. What is the remainder when 29 is divided by x? 9 Let d = -236 + 242. Suppose -d = -r - b, -r + 12 = -4*b + 1. What is the remainder when 138 is divided by r? 5 Suppose -a - 3*y + 49 = 0, 6*a - 2*a = -3*y + 178. What is the remainder when a is divided by ((-770)/(-28) - 30) + (42/4)/3? 0 Let v = -10 + 20. Calculate the remainder when 20/((-360)/27) - (-217)/14 is divided by v. 4 Let h = 1340 + -1322. Calculate the remainder when 2673 is divided by h. 9 Let c = 6207 - 4018. Calculate the remainder when c is divided by 157. 148 Suppose -62 = 8*k - 5*k + 4*s, -3*s - 15 = 0. Suppose 3*i - 3 - 9 = 0. What is the remainder when (-3 + 6 + k/i)*-10 is divided by 4? 1 Suppose 264*b - 1083127 - 128633 = 0. Calculate the remainder when b is divided by 56. 54 Let d be ((-736)/6 + 16/(-4))*-3. Suppose -6*y = -166 - d. What is the remainder when y is divided by 12? 7 Suppose -5*f = -2*x + 378, -5*x + 3*f = -535 - 410. What is the remainder when x is divided by 53? 30 Suppose 0 = 57*g + 13*g - 7210. Let x = 9 - 3. Let f(a) = 5*a - 3. Calculate the remainder when g is divided by f(x). 22 Suppose -7*u + 1187 - 1019 = 0. Suppose 0*o - 3 = -o. Suppose 105 + 84 = o*s. Calculate the remainder when s is divided by u. 15 What is the remainder when ((-2094)/(-10))/(945/1575) is divided by 160? 29 Suppose 0 = -5*u + b + 2570 + 2932, 12 = 4*b. Calculate the remainder when u is divided by 46. 43 Suppose 3*t = -3*w + 6, 0 = 5*w - 3*t - 0 - 10. Let u = -8313 - -8320. Calculate the remainder when u is divided by w. 1 Suppose 2*z - 21 = -o, o = 9*z - 4*z - 14. Let f(w) = 0*w + 6*w + 3 + 3*w. Calculate the remainder when f(3) is divided by o. 8 Let o(j) = 5*j**3 + j**2 - j. Let v be 4 - (17 + -4 + -5). Calculate the remainder when ((-468)/(-30))/(v/(-10)) is divided by o(1). 4 Let a(u) = u**3 - 9*u**2 - 15*u + 10. Suppose -2*n = 211*p - 207*p - 74, -4*p - n = -69. What is the remainder when a(11) is divided by p? 7 Let m be 204/(-119)*(8 - 1). Let g = m - -120. Suppose 30 = -3*s + g. What is the remainder when s is divided by 16? 10 Suppose 2*x + 2*i + 5 = 5*x, -4*x + i = -10. What is the remainder when x - (6 - -2) - (-168 - -2) is divided by 6? 5 Let o(b) = 3*b**2 - b + 65. What is the remainder when o(-7) is divided by 13? 11 Calculate the remainder when 202 is divided by 1*((16 - 23) + 18). 4 Let b(r) = 9*r**2 - 3*r - 4. Let l = -28 - -27. Let z = 25 + -20. What is the remainder when b(l) is divided by z? 3 Let z(f) = f**2 - 5 - 57*f + 1 - 5 + 8*f**3 + 64*f. Suppose -l - 95 = -6*l. What is the remainder when z(2) is divided by l? 16 Let f be 20/15*(-9)/(-6). Suppose -2 = -f*r + u + 38, 3*u + 98 = 5*r. What is the remainder when 85 is divided by r? 19 Let z(k) = -k**2 + 4*k + 9. Let f be z(-8). Calculate the remainder when (f/(-6)*4)/((-16)/(-32)) is divided by 40. 36 Let q(v) = 46*v - 626. What is the remainder when q(31) is divided by 11? 8 Suppose 2*q + 11 = -5*b + 5*q, -3*q = 4*b - 2. Suppose 5*n + 0*n - 30 = 0. Calculate the remainder when (-21 - -16) + (-52)/b is divided by n. 5 Suppose 4*d + 176 = 4*n, -5*d = 5*n - 7*n + 85. Let o(h) = 9*h - 40. Calculate the remainder when o(22) is divided by n. 23 Let w(k) = -31*k**3 - 13*k**2 - 13*k. Let q = -6 + 30. What is the remainder when w(-1) is divided by q? 7 Calculate the remainder when ((-990)/(-1155))/((-1)/(-8827)) is divided by 44. 42 Let x = -23 + 25. Let l(s) = 6*s**2 - 9*s - 5 + 7*s**x - 16*s + 17*s. What is the remainder when l(-3) is divided by 46? 44 Suppose -477 = -4*v - 7*h + 696, -293 = -v - 2*h. Calculate the remainder when v is divided by 110. 75 Let c(h) = -h**2 + 11*h + 8. Let w(t) = -t**3 + 11*t**2 + 19*t - 121. Calculate the remainder when w(11) is divided by c(10). 16 Suppose 4*m - 2*m - 136 = -2*f, 80 = f - 3*m. Let c(a) = 9*a + 19. Let x(l) = 2*l. Let s(t) = c(t) - 4*x(t). Calculate the remainder when f is divided by s(-7). 11 Let l(z) = -z - 30. Let m(w) = -w**2 + 12*w + 3. Let g be m(13). Let j be l(g). Calculate the remainder when 92 is divided by (-16)/j - 132/(-10). 8 Let w = 5 + -66. Let d = 119 + w. Let q = -147 - -178. What is the remainder when d is divided by q? 27 What is the remainder when 2548/156*89*36/42 is divided by 3? 1 Let l(j) = -5*j + 34. Let d be 4/(-14) + 308/49. Suppose 9*b - 148 + 4 = 0. What is the remainder when b is divided by l(d)? 0 Let h be (-5)/(-1)*(14/35 + 1). Suppose p + 2 - h = 0. What is the remainder when 27 is divided by (8 - p) + 4 + (-6)/(-2)? 7 Suppose -20*c + 757 = 277. Calculate the remainder when 15 - (c/(-6) + -4) is divided by ((-6)/4)/((-2)/8). 5 Suppose -6 = -14*g + 22. Calculate the remainder when -2*g/(-14) - 45769/(-259) is divided by 37. 29 Let q(w) = -w**2 - 7*w + 1. Suppose -2*v = 5*x, -47 + 16 = 5*v - 3*x. Let t be q(v). Let g = 26 - t. What is the remainder when g is divided by 6? 3 Let l(p) = p**2 + 4*p - 7. Let w be l(-5). Let m be (w + 5)/(3/(-18)). Let s = 38 + m. What is the remainder when 119 is divided by s? 19 Suppose -19*b + 1920 + 892 = 0. What is the remainder when 450 is divided by b? 6 Let k be ((-29)/(-5))/(((-15)/25)/3). What is the remainder when (k/2 - -9)*(-79 - -1) is divided by 48? 45 Let r = 176 + -93. Let u = 995 + -967. Calculate the remainder when r is divided by u. 27 Suppose 3*g - 2*x - 66 = -26, 5*x - 20 = 0. What is the remainder when 7982 is divided by g? 14 Let q = 10112 - 10004. What is the remainder when 511 is divided by q? 79 Let t be -3 + 4*4/4. Let a = t + 11. Suppose -235 = -0*b - 5*b. What is the remainder when b is divided by a? 11 Let j = 3 - -113. Suppose z + 93 - j = 0. Calculate the remainder when 73 is divided by z. 4 Let y be ((-260)/(-6))/(22/33) + -5. What is the remainder when 43 is divided by (-12)/15 + 2328/y? 5 Suppose 4*t - 165 = -n, -4*n + 210 = 5*t - 2*n. Let y(z) = 264*z - 5894. What is the remainder when y(23) is divided by t? 18 Let d(i) = -2*i**2 - 119*i + 102. Calculate the remainder when d(-60) is divided by 23. 19 Let o(r) be the second derivative of -r**5/20 + r**4/2 + 5*r**3/3 + 3*r**2/2 + 152*r. Calculate the remainder when 71 is divided by o(7). 23 Let v(c) = c**3 + 5*c**2 + c - 1. Let y = -1352 - -1352. Suppose -21*m + 36 + 90 = y. Calculate the remainder when v(-2) is divided by m. 3 Suppose 0 = -5*m + 59 + 26. Let s(b) = -b**3 + 5*b**2 - 3*b - 6. Let g be s(5). What is the remainder when g + 52 + 0/2 is divided by m? 14 Suppose 0 = 108*m + 122*m - 32*m - 2376. Let b = -40 - 39. Let o = 134 + b. What is the remainder when o is divided by m? 7 Let h(p) = p**3 + 3*p**2 - p - 1. Suppose -156*a - 12*a - 899 = -6611. Calculate the remainder when h(4) is divided by a. 5 Let i(m) be the third derivative of 2*m**4/3 + 2*m**3 - m**2 - 12*m. What is the remainder when 57 is divided by i(0)? 9 Calculate the remainder when 1925 is divided by ((-1660)/100 - -17)/((-2)/(-1065)). 8 Let u(l) = 6*l**2 - 5*l - 4. Let p be u(-6). Suppose 2*d - p = -38. Let n(t) = t**2 + 4*t - 8. Calculate the remainder when d is divided by n(-7). 11 Suppose 4356 = 92*l + 584. Calculate the remainder when 667 is divided by l. 11 Let m = -201 - -238. Calculate the remainder when 170 is divided by m. 22 Suppose -517 = -2*d - 2*q + 265, -d + 396 = -4*q. Calculate the remainder when d is divided by 51. 35 Let q(g) = 28*g + 24. Let i be q(-4). Let v = 266 + i. Calculate the remainder when v is divided by 36. 34 Let v be 0*(4/8)/((-4)/8). Suppose v = 3*f - 5*f + 126. What is the remainder when 314 is divided by f? 62 Suppose -81*z - 92
{ "pile_set_name": "DM Mathematics" }
s 0.00027764044 rounded to 4 decimal places? 0.0003 Round 0.000000925430692 to 7 dps. 0.0000009 What is -14394727539 rounded to the nearest one hundred thousand? -14394700000 Round 0.001095546836 to four dps. 0.0011 Round -0.119242139 to five decimal places. -0.11924 What is 654.894084 rounded to the nearest one hundred? 700 Round -55.160932 to one decimal place. -55.2 Round -709506495 to the nearest 1000000. -710000000 Round -5438986 to the nearest one hundred thousand. -5400000 What is -0.36515306 rounded to three decimal places? -0.365 Round -0.000051163173 to 6 dps. -0.000051 What is 0.02450357903 rounded to five dps? 0.0245 What is 36480.775 rounded to the nearest 10000? 40000 Round 111117.793 to the nearest 10. 111120 Round 258.3910641 to the nearest one hundred. 300 Round 163.5558108 to 1 decimal place. 163.6 Round 471.606788 to one dp. 471.6 What is -0.004964790471 rounded to 6 dps? -0.004965 Round -45216.889 to the nearest ten thousand. -50000 What is -5213558020 rounded to the nearest one hundred thousand? -5213600000 What is 119248415 rounded to the nearest 10000? 119250000 What is -1177.89895 rounded to one decimal place? -1177.9 What is 0.000329648414 rounded to seven dps? 0.0003296 What is 19026704980 rounded to the nearest one million? 19027000000 Round -0.000788019136 to 5 decimal places. -0.00079 Round -0.00000007827541 to 7 dps. -0.0000001 What is 23.37971607 rounded to one decimal place? 23.4 What is 8.2397558 rounded to the nearest integer? 8 Round -0.909602739 to 3 dps. -0.91 What is -58566622.5 rounded to the nearest one hundred thousand? -58600000 What is -116.115852 rounded to the nearest one hundred? -100 Round -19676676.4 to the nearest 1000000. -20000000 Round -0.0118231126 to 5 decimal places. -0.01182 What is -12108010760 rounded to the nearest 1000000? -12108000000 Round 645.67011 to the nearest one hundred. 600 What is -1182.4154217 rounded to two decimal places? -1182.42 What is 8.08762915 rounded to 4 dps? 8.0876 What is 1.6178403 rounded to two decimal places? 1.62 What is -2547914.1 rounded to the nearest 10000? -2550000 What is -0.004252042021 rounded to 4 dps? -0.0043 What is 28.49372815 rounded to one dp? 28.5 Round -36451654.4 to the nearest 10000. -36450000 Round -0.04908943 to 4 dps. -0.0491 Round 3.599326579 to the nearest integer. 4 Round 0.0000560076507 to seven decimal places. 0.000056 What is 0.518629443 rounded to four dps? 0.5186 Round 0.699319514 to two dps. 0.7 Round -0.00288847486 to three dps. -0.003 What is 17628540.13 rounded to the nearest 100000? 17600000 What is -0.0711042719 rounded to five dps? -0.0711 Round -0.022611873 to six decimal places. -0.022612 Round -60119.3929 to the nearest ten thousand. -60000 Round 237992396 to the nearest ten thousand. 237990000 Round 1.38201562 to one dp. 1.4 What is 122.0031 rounded to 0 dps? 122 Round 5.18470991 to 2 dps. 5.18 Round 18.70361323 to one decimal place. 18.7 Round -69.894543 to the nearest 10. -70 What is -0.0000600614197 rounded to seven decimal places? -0.0000601 Round -218945720 to the nearest one hundred thousand. -218900000 What is 66.5364987 rounded to two decimal places? 66.54 Round -6428560.3 to the nearest 1000. -6429000 What is 0.0248473321 rounded to 6 dps? 0.024847 Round -376112.75841 to the nearest 100. -376100 What is -6537258.6 rounded to the nearest ten thousand? -6540000 What is 0.76904179 rounded to one dp? 0.8 What is -49.5014623 rounded to 3 dps? -49.501 What is 0.451853859 rounded to 5 decimal places? 0.45185 What is 0.0525671288 rounded to five decimal places? 0.05257 Round -2744.67328 to 0 dps. -2745 Round -569.36089 to the nearest one hundred. -600 Round 0.0000229834592 to 6 decimal places. 0.000023 What is 13.12781754 rounded to 1 dp? 13.1 Round -0.0626256434 to 4 dps. -0.0626 Round 2973.39984 to the nearest 10. 2970 Round 10402784.617 to the nearest 100. 10402800 Round 0.81542695 to 4 decimal places. 0.8154 What is -33361.96041 rounded to the nearest one thousand? -33000 What is 15.9631091 rounded to 1 dp? 16 Round 0.001360316882 to four decimal places. 0.0014 What is 0.008577993338 rounded to 5 dps? 0.00858 Round -0.2854749289 to 5 dps. -0.28547 What is 42601.68547 rounded to the nearest 100? 42600 What is -63.4771196 rounded to 1 dp? -63.5 Round -0.0048293721 to four decimal places. -0.0048 What is -3896.607741 rounded to the nearest one hundred? -3900 Round 132275373 to the nearest ten thousand. 132280000 Round 63.74720935 to the nearest integer. 64 Round -16271.611 to the nearest ten. -16270 What is 0.00000199036407 rounded to seven dps? 0.000002 Round 5.56476881 to two dps. 5.56 Round 3995275.57 to the nearest one million. 4000000 What is 772314630 rounded to the nearest 1000000? 772000000 What is 5.4009751 rounded to two decimal places? 5.4 What is 12486560.7 rounded to the nearest 10000? 12490000 What is -0.0001280887 rounded to three decimal places? 0 What is -0.0006205665 rounded to 3 dps? -0.001 What is -0.084552004 rounded to 5 dps? -0.08455 What is 74561.505 rounded to the nearest 10000? 70000 What is 829.80485 rounded to 0 dps? 830 What is -0.228065474 rounded to two decimal places? -0.23 What is -737.5273118 rounded to 1 dp? -737.5 Round -0.000118296359 to 5 dps. -0.00012 What is -66.8655055 rounded to the nearest integer? -67 What is -35623.3407 rounded to the nearest ten? -35620 What is -230.986608 rounded to the nearest 10? -230 What is -0.004335417545 rounded to 3 dps? -0.004 Round -42.9810971 to one decimal place. -43 Round 4044.93068 to the nearest 100. 4000 Round 312729.147 to the nearest 10000. 310000 What is -114.018649 rounded to 1 decimal place? -114 Round -212388.049 to the nearest 10000. -210000 What is -32098140 rounded to the nearest one hundred thousand? -32100000 Round -192516790.5 to the nearest one million. -193000000 What is 0.0006355893 rounded to six decimal places? 0.000636 Round 0.00352249149 to six decimal places. 0.003522 What is -0.000001225798552 rounded to 6 decimal places? -0.000001 Round 0.0159501176 to 3 decimal places. 0.016 What is 0.61848603 rounded to 3 dps? 0.618 What is 0.000750255087 rounded to seven dps? 0.0007503 What is -12.8859378 rounded to 3 decimal places? -12.886 Round 21806.23624 to the nearest one hundred. 21800 What is 0.0000229495947 rounded to seven dps? 0.0000229 What is -0.0221279641 rounded to 2 dps? -0.02 Round 0.0000429564423 to six decimal places. 0.000043 Round 41448061380 to the nearest one million. 41448000000 What is 6971918.42 rounded to the nearest one thousand? 6972000 What is -1.35056292 rounded to 1 decimal place? -1.4 What is -0.00392977906 rounded to 6 decimal places? -0.00393 Round -0.493562243 to 4 dps. -0.4936 Round -0.00570423635 to 4 dps. -0.0057 Round 527142.79 to the nearest 1000. 527000 What is -499.05142 rounded to the nearest integer? -499 What is 489711400 rounded to the nearest one million? 490000000 Round -50910626.7 to the nearest one million. -51000000 What is 50752.31 rounded to the nearest one hundred? 50800 What is 0.00034940016 rounded to 5 decimal places? 0.00035 What is -0.0000028327574 rounded to seven decimal places? -0.0000028 What is 7027766810 rounded to the nearest 1000000? 7028000000 What is 0.0000013860811 rounded to 7 dps? 0.0000014 What is 2004.51165 rounded to the nearest 100? 2000 What is -0.00000290497959 rounded to 7 dps? -0.0000029 Round 0.01890440002 to 5 dps. 0.0189 Round -17.21230106 to one dp. -17.2 Round 7.8419713 to one decimal place. 7.8 What is -0.0000001741368775 rounded to seven dps? -0.0000002 Round 1113624.8747 to the nearest ten thousand. 1110000 What is 0.29648629 rounded to the nearest integer? 0 What is 23630554.1 rounded to the nearest one million? 24000000 Round 0.00420207299 to 5 decimal places. 0.0042 What is -51.534448 rounded to 1 dp? -51.5 Round -0.00211360707 to 3 dps. -0.002 Round 26760067.69 to the nearest 1000000. 27000000 Round 8242.132504 to the nearest one thousand. 8000 Round -0.0000459723591 to 5 dps. -0.00005 Round -1765488430 to the nearest one million. -1765000000 Round -40.88195679 to 3 dps. -40.882 What is 1187358.24 rounded to the nearest one thousand? 1187000 Round -25249.7862 to zero decimal places. -25250 Round -42.59252024 to the nearest ten. -40 Rou
{ "pile_set_name": "DM Mathematics" }
nominator of -13/14 and (r/(-80) - 3)*106. 70 Suppose 0 = 7*q - 4*q + 537. Calculate the least common multiple of (-8)/10 + q/(-5) and 6. 210 Suppose 1084 = 9*r + 166. Suppose j - 4*p - 32 = -0*j, 4*j - 3*p = r. What is the smallest common multiple of j and 45? 360 Let l(z) be the first derivative of z**3/3 - z**2/2 + 3*z - 22. Calculate the smallest common multiple of 24 and l(3). 72 Let s be -2*3/(-3)*2. Suppose -3*k + 21 = -x + 4*x, -2*x + s*k + 26 = 0. Calculate the smallest common multiple of 3 and x. 9 Let k = -460201/183 - -7544/3. What is the common denominator of 25/6 and k? 366 Suppose 0 = 5*v + 15, 3*v + 17 = -4*k - 0. Let a = -484 + 480. Calculate the lowest common multiple of 12 and a/((-3)/(-12)*k). 24 Let f = -1062/5 - -25273/120. Let x = 7352 + -264563/36. What is the common denominator of x and f? 72 Suppose 504*j + 1224 = 510*j. What is the smallest common multiple of 170 and j? 1020 Calculate the common denominator of -63/44 and ((-45)/(-12)*4)/44. 44 Suppose -63*y = -104*y + 1066. Calculate the lowest common multiple of y and 12. 156 Let x = -53937/55 - -630/11. Let m = 927 + x. Find the common denominator of m and (-40)/(-6)*2/(-12). 45 Let w = -732 + 14637/20. Let h = -6 + 15. Calculate the common denominator of (h/108)/((-2)/(-194)) and w. 60 Calculate the lowest common multiple of (13 + (-135)/18 + -4)*(-16)/(-3) and (-2)/(4/(-6) + 0). 24 Calculate the least common multiple of ((-5)/(-4))/(29/2784) and 66. 1320 Let z = 4/4061 - -174563/60915. What is the common denominator of -73/54 and z? 270 Let t = 42 - 90. Let l be (248/t)/(4/882). Let q = l - -1158. Find the common denominator of 113/10 and q. 20 Let q(p) = 2*p + 4. Suppose 3*l = n + 28 + 29, l - 8 = 4*n. Calculate the lowest common multiple of 44 and q(l). 44 Calculate the common denominator of ((-24)/(-84))/(-2 - (-106)/43) and -16/21. 210 Let i be (42/15)/(4/10). Suppose 13*x = i*x + 174. What is the lowest common multiple of x and 11? 319 Let p be ((-11908)/(-396))/((-4)/6). Let o = -148/3 - p. What is the common denominator of o and 49/18? 198 Let l = 3672376128409 + -1615074297514837819/439790. Let c = 1/16915 - l. What is the common denominator of c and 115/6? 78 Suppose -5*x + 5*y - 2*y = -434, -6 = -3*y. Calculate the smallest common multiple of 80 and x. 880 Let h = 62801/110 - 571. Find the common denominator of 47/33 and h. 330 Let f be (-2)/(12/(-62482)) - (-5)/(-20). Let c = f + -10421. Calculate the common denominator of c and ((-1)/4)/((-4)/3). 48 Suppose 137 = 3*s + b + 3*b, -5*b + 25 = 0. Let k(v) = -4*v - 57. Let o be k(-10). Let g = s + o. What is the smallest common multiple of g and 12? 132 Let c = -1132827/56 + 20230. Let p = c + 87447/56. Let o = -10986/7 + p. Calculate the common denominator of 83/14 and o. 14 Let c be 92/6 + 5 + (-65)/15. Calculate the lowest common multiple of 14 and ((-21)/(-14))/(6/c). 28 Let o(x) = -x**3 + 6*x**2 + x - 5. Let m be o(6). Let u be (0 + 0 + -3)/m. Calculate the common denominator of 1158/(-180) + (-1)/u and 5/16. 80 Let y(h) = h**3 + 3*h**2 + 9*h + 28. Calculate the least common multiple of y(0) and 56. 56 Let d = 275 - 257. What is the smallest common multiple of d and 27? 54 Let w = 50940 + -55473664/1089. Let v = w - -107851/10890. What is the common denominator of -27/22 and v? 110 Suppose -1362*x + 1387*x = 400. What is the least common multiple of 3355/20 - 1/(-4) and x? 336 Let m = -55671869/312 + 178435. What is the common denominator of m and 139/12? 312 Let w(v) = -v**2 - 14*v - 18. Suppose -r + 172 = 3*r + j, -3*r + 120 = 3*j. Suppose 7*z - r = 3*z. Calculate the lowest common multiple of w(-12) and z. 66 Let l = 77504674/55269027 + 15/372182. Let u = 17/27 - l. Find the common denominator of u and -85/16. 176 Let s = -6985 - -810355/116. Find the common denominator of 73/6 and s. 348 Suppose 2*o - 3*o + 10 = -4*p, -4*o + p = -25. Calculate the least common multiple of 11 and 284/10 + (84/15 - o). 308 Let a be -1*5*8/(-20). Let k = a - 3. Let j(y) = 8*y**2. Calculate the smallest common multiple of j(k) and 11. 88 What is the least common multiple of (-214)/(-8) + (-10)/(-40) and 18? 54 Let s = 206388/5 + -40716. Let u be -3*3/((-9)/(-559)). Let y = s + u. What is the common denominator of 3/23 and y? 115 Let j be (-1 - -19)/(6/18). Let t = j - 45. Calculate the smallest common multiple of t and 62. 558 Suppose 3*d = -12*d + 60. What is the lowest common multiple of d and 137? 548 Let n = -57 + 72. What is the lowest common multiple of n and 5? 15 Let j = 117637 + -18822013/160. Find the common denominator of j and -4 - (150/(-8) - -4). 160 Let b = -857643/28 - -30626. Find the common denominator of (-30)/(-14) - -1 - -1 and b. 28 Let p = -1666 + 1736. What is the smallest common multiple of p and 2? 70 What is the lowest common multiple of (11 - 4)*-1 + 187 and 140? 1260 Let z = -308/27 - -1/135. Let i be 46/(-3) + 4/12. Find the common denominator of (205/i)/(11/(-3)) and z. 55 Suppose 4 = 5*f + 6*d - 3*d, 5*f + 8 = d. Let w = -1 - f. Suppose 4*p - 6*j - 30 = -j, 2*p - j - 18 = w. What is the least common multiple of p and 9? 90 Let v(q) be the second derivative of -q**4/12 - 11*q**3/6 - 5*q**2/2 + 3*q. Let o be v(-10). Calculate the smallest common multiple of 32 and -7*(-4)/14*o. 160 Let f = -74 - -44. Find the common denominator of -11/7 and 350/(-176)*12/f. 308 Suppose -62*f - 248 = -4*t - 66*f, -t = 5*f - 70. Calculate the smallest common multiple of 12 and t. 60 Let j = -5351/11 - -489. Suppose 4*y + 17 = 1. Find the common denominator of j and (-12)/y - (-24)/9. 33 Let o = -3995/12882 - -7/339. Find the common denominator of o and 95/14. 266 Let a(k) = 9 + 6 - 2*k + k. Let t be a(11). Suppose -3*v - t*u = -64, -5*v + 2*u + 0*u = -72. Calculate the smallest common multiple of 4 and v. 16 Suppose -367 = -21*u + 137. Let k = 14 - 5. What is the lowest common multiple of k and u? 72 Let a = -178 + 196. What is the least common multiple of 122 and a? 1098 Find the common denominator of (5 + (-1139)/204)*34/3 and (-83)/(-24) - 1/3. 72 Let h(y) = y**2 + 8*y + 2. Let p be h(-3). Let z = 24 + p. What is the lowest common multiple of z and (8/16)/(4/8)? 11 Let a = -34 - -53. Suppose 15 = 2*q + a. Calculate the common denominator of 89/10 and (q/(20/(-73)))/1. 10 Let q = 2 + -1. Suppose -w + q + 4 = 0. What is the lowest common multiple of 5 and w? 5 Suppose -3*q = -6, 4*q = 5*h + 5*q - 27. Suppose h*f - 16 = -3*l + 29, 0 = -5*l. What is the smallest common multiple of 33 and f? 99 Let l = -66 - -496/7. Suppose -5*f = -19 + 144. Find the common denominator of l and f/5 + 7 - 161/51. 357 Calculate the common denominator of 12/(-15) + (-9 - -8) and -77/46. 230 Find the common denominator of -115/6 and 37/2*39/(-65). 30 Let s = 273 + -263. What is the lowest common multiple of 14 and s? 70 Let w(c) = -c**3 - 10*c**2 - c - 10. Let b be w(-10). Suppose 0 = y + 2*n + 3, y + b*n + 3 = 4*n. Calculate the least common multiple of 18 and 2/(2/(-18)*y). 18 What is the least common multiple of 12 and 115 - (2/11 - (-70)/(-22))? 708 Let c = -796/11 - -7729/110. Let l = -7/101 + 1015/4444. What is the common denominator of c and l? 220 Let o = -31 - -11. Let z = o + 24. Suppose 2 = -3*y + 11, -29 = -p - 5*y. Calculate the lowest common multiple of p and z. 28 Suppose f + 16 = 3*f. Let l = -16 + 22. Suppose 4*x - l = -3*q, x + 3*q - 13 = 8*q. What is the lowest common multiple of x and f? 24 Let s = 5723194 + -99543513283/17393. Let f = 19170817/1582763 + s. Let r = f + -254/13. Calculate the common denominator of 30/11 and r. 77 Let i(v) = v**2 - 6*v + 2. Let p be i(6). Suppose p*k = -3*k + 40. What is the smallest common multiple of k and (-8)/(-4) + 5*1? 56 Calculate the smallest common multiple of 16 and (-416)/234*9/12*-39. 208 Let s(y) = -6*y + y**3 + y - 4 + 4*y - 6*y**2. Let k be s(6). What is the smallest common multiple of 22 and ((-32)/6)/(k/15)? 88 Let h(z) = z - 51. Let o(y) = -3*y + 101. Let d(l) = 13*h(l) + 6*o(l). Calculate the smallest common multiple of 8 and d(-13). 8 Suppose -m - m = -5*n - 488, -2*n - 3*m - 180 = 0. Calculate the common denominator of 1/4 + 5 + 1112/n and 23/11. 33 Let m(a) = a**3 + 21*a**2 + a + 30. Suppose -5*z + 36 = -i, -i + z - 15 = 3*z. Let l be m(i). Let s = 21
{ "pile_set_name": "DM Mathematics" }
ts digit of l(16)? 9 Suppose 6*m + 2*q - 12 = 3*m, 0 = m - 4*q - 4. Suppose -u = m*u + 40. What is the units digit of (-2)/u + (-276)/(-48)? 6 Suppose -21 + 1 = -2*g. Suppose 3*z - 2*v - 13 = 2*z, v = z - g. Suppose 144 = z*a + 39. What is the units digit of a? 5 Suppose 0 = -40*q + 2412 + 468. Suppose 0 = z + 2*r - 332 - q, -2*r = 4*z - 1586. What is the tens digit of z? 9 Suppose -13*k = -25338 - 46903. What is the tens digit of k? 5 Let a be ((-1)/(-2) - -2)*594/165. Suppose a*q - 5*q + p = 535, 5*q - 685 = 2*p. What is the tens digit of q? 3 Suppose 0 = 315*u - 1588383 - 2135862. What is the thousands digit of u? 1 Let y(c) = 3*c**3 - 6*c**2 + 5*c - 29. Let f be y(6). Suppose -5*u = -b + f, 4*b = 7*b + 4*u - 1204. What is the units digit of b? 8 Let c(b) = -45 - 26 - 25 - 61*b + 12. What is the tens digit of c(-12)? 4 Suppose -u + 3*u = -3*f - 168, 3*u - 45 = f. Let t = f + 58. What is the units digit of t*1/((-12)/(-339))? 3 Let z(s) = -2295*s - 10656. What is the units digit of z(-6)? 4 Let i = -107 + 154. Suppose i = b - 139. What is the tens digit of b? 8 Let h(o) = o**3 + 35*o**2 - 110*o + 12. Let b(s) = -2*s**2 + 105*s - 89. Let t be b(52). What is the tens digit of h(t)? 4 Let h(s) = -12*s + 221. Let j be h(18). Suppose -4*p = j*m - 3066, -3*m - 5*p + 2651 = 801. What is the units digit of m? 0 Suppose -143*r - 115579 + 1384896 + 1455834 = 0. What is the hundreds digit of r? 0 Let w(o) = -8*o**2 + 37*o - 36. Let t be w(-20). What is the units digit of (12/14)/((-4)/t)? 2 Let s = -64 + -92. What is the hundreds digit of 839/1 + s/(-39)? 8 Let y(s) = 230*s + 392. What is the tens digit of y(12)? 5 What is the thousands digit of 12355/3*(-297)/(-165)? 7 Let k(v) = -v + 5. Let f be k(1). Suppose -i = -w + 172 + 97, -i = -f. What is the hundreds digit of w? 2 Let k be (13 - 2)/(9/(-6) - -1). What is the hundreds digit of (33/k)/((-6)/764)? 1 Suppose 0 = 70*h - 63*h - 1806. Let x = -151 + h. What is the hundreds digit of x? 1 Let o(n) = 4*n - 14. Let u be o(4). Let b be (-531)/(-6) - u/4. What is the hundreds digit of 16/b + 1109/11? 1 Let y(i) = -i**3 - 5*i**2 + 4*i + 13. Let w(u) = 8 + 3 - 3*u**3 + 5*u**3 - 3*u**3 + 17*u**2 + 17*u. Let k be w(18). What is the units digit of y(k)? 3 Suppose 2*w - 19 = -3*y, -2 = -3*w - 4*y + 24. Let h = 0 + w. What is the tens digit of (21/(-42))/(h/(-60))? 1 What is the units digit of 40/12*318108/140? 4 Suppose 4*p - 508 = 6*y - 5*y, y - 132 = -p. Suppose -p + 1052 = 4*v. What is the tens digit of v? 3 Suppose -2*v = 5*t - 90849, -493*t + 72647 = -489*t - 3*v. What is the tens digit of t? 6 Let y = 3353 - 1812. Suppose 52*q = 29*q + y. What is the tens digit of q? 6 Suppose -2*i - 42 = -4*w, -w - 25 = -3*w - 3*i. Suppose -15*b + w*b = -128. Suppose -b*y + 27*y = -625. What is the tens digit of y? 2 Let s be (58/(-14) - 12/(-84))*-1. Suppose -820 = -s*r + 1432. What is the tens digit of r? 6 What is the tens digit of (6468/60)/11*60? 8 Let s = 68 - 58. Suppose -16797 = -23*l - s*l. What is the tens digit of l? 0 Let i = -9400 - -21529. What is the hundreds digit of i? 1 Let t = -45244 - -75627. Suppose 22*h - t = 6973. What is the thousands digit of h? 1 Let p(r) = 828*r**2 - 14*r - 19. Let d be p(-2). Let z = d + -2150. What is the thousands digit of z? 1 Suppose -26*v = -23*v - 4014. Suppose 4*a = 2*t - v, -3*t + 576 = -3*a - 1437. What is the hundreds digit of t? 6 Let a be -4*1/(-4) - -3. Suppose a = -4*c, -994 = -5*l - 2*c - 241. What is the tens digit of l? 5 Suppose 8*z - 3*z = 5*d - 4225, -5*d + 3*z + 4215 = 0. What is the tens digit of (-11 + 10)*(1 - d)? 3 Suppose 140 = 5*j - 15. Let d(c) = 7 - 71*c + j*c + 33*c. What is the units digit of d(-6)? 9 Let o(u) be the third derivative of -u**4/4 - 11*u**3/3 + 3*u**2 - 24*u. Suppose -4*x - 3*b - 75 = 12, 3*x + 2*b + 66 = 0. What is the units digit of o(x)? 2 Suppose 0 = 78*v + 419695 - 2025403. What is the tens digit of v? 8 Suppose -57595 - 205029 = -16*l. What is the tens digit of l? 1 Suppose 16*h + h - 100740 = 336194. What is the tens digit of h? 0 Let p be 32*(-20 + 0/4). Let q = -312 - p. What is the hundreds digit of q? 3 Suppose -c = -2362 - 355. What is the hundreds digit of c/7 + (-8 - (-385)/49)? 3 Let m(n) = 84*n + 5. Let o be m(13). Suppose -6*d + 3*d = -2*k + o, -3*d - 2203 = -4*k. What is the hundreds digit of k? 5 Suppose 2*l = 4*g - 58, 5*g + 0*l - 80 = 5*l. Let i(s) = -s**3 + 2*s**3 - 2*s**3 - g*s**2 - 39 - 8*s + 24. What is the units digit of i(-13)? 9 Let y = 287 - 268. Suppose 3880 = 4*k + y*j - 16*j, 2903 = 3*k + 4*j. What is the units digit of k? 3 Suppose -v + 5*q = -17, -4*v = v - 4*q - 22. Let n(s) = 3 + 0*s + 12*s**2 + 5 + s - 4*s. What is the units digit of n(v)? 0 Let b(o) be the third derivative of -5*o**4/6 + 5*o**3 - 19*o**2. Let y be b(-9). Suppose 6*g - y = 4*g. What is the units digit of g? 5 Suppose -4*j + 2 = -74. Let r(c) = j + 3*c - 6*c + c**2 + 6 + c. What is the units digit of r(5)? 0 Let u be ((-21)/35)/(2/(-10)). Suppose -q - u*n + 8 = -n, 0 = -5*n + 20. Suppose g - 93 = 4*y, -5*y = 4*g - q*y - 477. What is the tens digit of g? 1 What is the hundreds digit of 6052/5*((-500)/225)/(8/(-36))? 1 Let f be 1 + -4*5 + -2. Let i = 174 + f. Suppose 5*h + 4*h = i. What is the units digit of h? 7 Let q(w) be the third derivative of -26*w**2 - 47/3*w**3 + 0 - 41/24*w**4 + 0*w. What is the tens digit of q(-9)? 7 Let v be 1/(-3)*3 - -6. What is the hundreds digit of 1/((-5)/(-905)) + v? 1 Let o(s) = 280*s - 1771. What is the units digit of o(22)? 9 What is the hundreds digit of (-2)/5*4*((-15727)/2 - -6)? 5 Let p = -49529 - -83754. What is the hundreds digit of p? 2 Suppose 0*d = 3*d. Let v(y) = -y**3 + y + 46 + 6 + 65 + 3 - 10. What is the units digit of v(d)? 0 Let o = 7 - 41. Suppose 4*p + 2*r = -160, -3*p + 160 = -7*p + 4*r. Let y = o - p. What is the units digit of y? 6 Let w(s) = -2*s**3 + 12*s**2 + 4*s - 18. Let n be w(6). Suppose 12*i = -n*i + 8604. What is the tens digit of i? 7 Let r(d) = 24*d + 10. Suppose 2*q + 3*q - 204 = -4*l, 3*q + 5*l = 125. Let g = q - 37. What is the tens digit of r(g)? 8 Let a be 10/(-4) - (10/(-4) - -3). Let k be (5 - 3) + (-12)/(a - 1). Suppose -q + 163 = k*x, 3*q + 5*x = -q + 592. What is the units digit of q? 3 Let q = -1 - -18. Let m = 47 - q. What is the units digit of (3/2)/(1/m)? 5 Let v(q) = 2*q**2 - 37*q - 9. Let d be v(22). What is the tens digit of 8/10 + 38309/d? 6 Let l be 13 + (-35)/7 - 1/(-1). What is the tens digit of 6357/l - 20/15? 0 What is the units digit of 6 - (184 + -171)/(((-2)/(-240))/(-1))? 6 Suppose 3160 = 144*d - 139*d. Suppose 6*x - 7*x = -5*t - d, 3*t = 3. What is the tens digit of x? 3 Let k(j) = -j**3 - 2*j**2 + 6*j + 14. Let u be k(-2). Suppose -2*y = 4*d - 2028, 3*d = -y + 4*d + 1026. Suppose 9*l - u*l = y. What is the hundreds digit of l? 1 Suppose s = 3*b - 56, -b - 2*b + 62 = -4*s. Let q = 52 - b. Suppose 1 = u, q = -a - 5*u + 262. What is the hundreds digit of a? 2 What is the tens digit of -1 + 309/(-3)*(13 - 204)? 7 Let u be 5*(0/6 + 25). Suppose u - 915 = -5*j. What is the units digit of j? 8 Let s(o) = -o**2 + o + 9. Suppose -5*a = j - 13 - 9, 0 = -5*j + 4*a - 6. Suppose -2 = 4*d - j. What is the units digit of s(d)? 9 Suppose -32*w + 24580 = -14908. Suppose c + 428 = w. What is the hundreds digit of c? 8 Suppose 4*v - 22 = 2. Suppose 95 = v*k - 7. Let p(w) = 3*w - 8. What is the tens digit of p(k)? 4 Suppose 37 = -n + 31. What is the units digit of 30*2/10*(n - -14)? 8 Let w = -228 - -803. Let t = 261 - 181. Suppose -t = -5*o + w. What is the tens digit of o? 3 Let c = -11 + 26. Suppose -41*k = -46*k + c. Suppose 2*f = -k*f + 580. What is the tens digit of f? 1 Let t = -8 - -11. Let k be (t + (-7 - -2))/((-3)/15). Suppose 1050 = -0*i + k*i. What is the units digit of i? 5 What is the tens digit of 5287 - (8 - 10)*2? 9 What is the units digit of 4464/90*(-50)/8*-22? 0 Let q = -56841 - -113211. What is the thousands digit of q? 6 Let l = 11342 - 5874. Suppose 3*a + 4*h = -h + 4101, 4*a - 4*h = l. What is the thousands digit of a? 1 Let p = -46 + 46. Suppose p*s + 6 = -6*s. What is the hundreds digit of (-86 - 0/s)*(4 - 6)? 1 Let a be (12/24)/(3/24). Let v be -45*(4/16*a)/(-1). Let h = -22 + v. What is the units digit of h? 3 Suppose 0 =
{ "pile_set_name": "DM Mathematics" }
4*s**4 - 8 + 4/3*s. Determine c, given that w(c) = 0. -1, 2/7, 2 Let f be (-96)/160 + (-366)/(-10). Suppose -16*r - 2*r + f = 0. Suppose -1/4*h**5 - 1/4 + 3/4*h**4 + 3/4*h - 1/2*h**3 - 1/2*h**r = 0. What is h? -1, 1 Let c(h) be the first derivative of -h**5/5 - 25*h**4/32 + 17*h**3/6 - 35*h**2/16 - 282. Find g, given that c(g) = 0. -5, 0, 7/8, 1 Suppose -12 = -2*u - 3*z + 4, -2*z = 5*u - 18. Let 3/2*a**u + 0 + 0*a + 3/2*a**3 - 3*a**4 = 0. What is a? -1/2, 0, 1 Let n = 3/4519 - -4507/18076. What is s in 0 + 9/4*s**3 - s**4 + n*s - 3/2*s**2 = 0? 0, 1/4, 1 Let x be (-54)/(-225)*(-15)/(-6). Suppose 4*z - 3*f - 14 = 0, -3*z + 5*f - 4 + 20 = 0. Factor x*m**z + 0 - 3/5*m. 3*m*(m - 1)/5 Suppose -4*g + 70 = -11*g. Let z be (1 - 1)/(g + 8). Suppose 2/7*h**2 - 4/7*h + z + 2/7*h**3 = 0. What is h? -2, 0, 1 Let c(h) be the second derivative of -h**5/100 + h**4/12 - 4*h**3/15 + 2*h**2/5 - 12*h. Solve c(w) = 0 for w. 1, 2 Suppose -3362 + 3187 = 20*m - 55*m. Factor 76/3*i**3 + 100/3*i**2 + 64/3*i + 16/3 + 28/3*i**4 + 4/3*i**m. 4*(i + 1)**3*(i + 2)**2/3 Let v(q) = -15*q - 6. Let g be v(-7). Solve -2*c**3 + 6*c**3 + g*c**2 - 194*c**2 + 99*c**2 = 0. -1, 0 Suppose 4*p + l - 27 = 0, -6*p - 2*l + 14 = -3*p. Suppose 5*d = p*d - 9. Factor d + 76*n + 6 + 12*n**4 + 84*n**3 + 4*n**4 + 132*n**2 + 3. 4*(n + 1)**2*(n + 3)*(4*n + 1) Find m such that 393*m**3 - 785*m**3 - 4*m**4 + 4*m + 4*m**2 + 388*m**3 = 0. -1, 0, 1 Let g(v) be the second derivative of v**7/21 - 29*v**6/135 - 5*v**5/6 - v**4/2 + 10*v**3/27 + 322*v. Determine s so that g(s) = 0. -1, 0, 2/9, 5 Suppose -5*t = -5*g + 20, g - 3*g = -8. Let z = 2/455 - -892/4095. Suppose t*c**2 + 0*c + 0 + z*c**3 = 0. What is c? 0 Let v = 25 - 20. Factor -8*i**5 + 12*i**3 + 4*i**2 + 7*i**v + 12*i**4 + 5*i**5. 4*i**2*(i + 1)**3 Let w be (-532)/(-133) + -2*2. Factor -2/3*r**2 + 0 + w*r - 1/3*r**3. -r**2*(r + 2)/3 Factor -7/6*u**2 - 4/3*u + 8/3 - 1/6*u**3. -(u - 1)*(u + 4)**2/6 Let k(n) be the first derivative of 8*n**3/3 - 27*n**2/2 + 9*n - 62. Suppose k(y) = 0. Calculate y. 3/8, 3 Suppose 26689*s - 26681*s = 16. What is d in -2*d + 0 + 1/2*d**s = 0? 0, 4 Suppose -u + 4*f = 2*u - 5, 3*f = -4*u + 15. Let g(x) = -x**3 + 3*x**2 + 2*x - 2. Let s be g(u). Find m such that -m + 6*m**2 - 3*m**2 - m + 0*m**4 - m**s = 0. -2, 0, 1 Let g = 17333/25995 + -1/8665. Factor -g + 1/3*d**2 + 1/3*d. (d - 1)*(d + 2)/3 Let c(l) be the first derivative of l**5/15 - 5*l**4/12 - 43*l**3/9 - 67*l**2/6 - 10*l + 209. Solve c(o) = 0. -3, -1, 10 Suppose 5*g - k - 28 = 3*g, 4*g - k - 56 = 0. Let b be (-6 - 0)*g/(-42). Factor 33*j**2 + 3*j - 6*j**4 - j**5 - b*j**5 - 27*j**2. -3*j*(j - 1)*(j + 1)**3 Let y(u) be the second derivative of -u**8/3360 + u**6/360 - 3*u**4/2 + 10*u. Let c(i) be the third derivative of y(i). Let c(w) = 0. What is w? -1, 0, 1 Let l = -163/5 - -36. Factor -u**3 - l*u**2 - 4/5 - 16/5*u. -(u + 1)*(u + 2)*(5*u + 2)/5 Suppose -52*m + 50*m = -4. Let a(u) be the third derivative of -1/12*u**4 - 7/60*u**5 + 0*u - 1/30*u**6 - m*u**2 + 1/6*u**3 + 0. Factor a(b). -(b + 1)**2*(4*b - 1) Let k(c) be the second derivative of -c**6/480 - c**5/120 + 9*c**2/2 + 13*c. Let w(y) be the first derivative of k(y). What is r in w(r) = 0? -2, 0 Let j = 515 - 972. Let g = 1387/3 + j. Factor 32/3 + 2/3*n**2 - g*n. 2*(n - 4)**2/3 Let l(s) be the second derivative of 2*s**7/21 - 2*s**6/3 + s**5/5 + 7*s**4 - 12*s**3 - 13*s - 5. Solve l(d) = 0. -2, 0, 1, 3 Let f(v) = -26*v**2 - 28*v - 8. Let y(j) = j**3 - 2*j + 2. Let b be y(2). Let x(s) = 27*s**2 + 28*s + 8. Let g(c) = b*x(c) + 7*f(c). Factor g(k). -4*(k + 1)*(5*k + 2) Suppose -17*u = 18*u. Let f be (9/(-15))/((-6)/4). Factor f - 2/5*c**2 + u*c. -2*(c - 1)*(c + 1)/5 Suppose 0 = c - 6*c + 60. Suppose -4*y + 5*w - 1 = -13, 0 = 4*y - 2*w - c. Factor 0*x + 0*x**2 + 0 + 2/3*x**y. 2*x**3/3 Let a be -3 - (-2124)/171 - 9. Let s(h) be the first derivative of 8 + a*h + 4/19*h**2 + 2/57*h**3. Factor s(w). 2*(w + 2)**2/19 Determine i, given that 4 - i**3 - 5/3*i**2 + 16/3*i = 0. -3, -2/3, 2 Let n(d) = 239*d - 1910. Let p be n(8). Factor 3/4*y**p + 3 + 15/4*y. 3*(y + 1)*(y + 4)/4 Let q = 4 + 2. Let u(v) = -4 + 2 + q - 3 + v**3 + v**4 + v. Let r(g) = 12*g**4 + 14*g**3 + 3*g**2 + 12*g + 11. Let f(s) = 2*r(s) - 22*u(s). Factor f(b). 2*b*(b + 1)**3 Let g(q) = -q**2 + 4*q + 63. Let w be g(10). Let u(v) be the second derivative of 1/2*v**w - 9/4*v**2 - 1/24*v**4 + 0 - 5*v. Factor u(a). -(a - 3)**2/2 Suppose p - 5 = -3*d, -6 = -5*d - 3*p + 1. Factor 8*a - 2*a**3 - 8 - 11*a**2 + a**d + 12*a**2. -2*(a - 2)*(a - 1)*(a + 2) Factor -841 + 422 - 3*u + 425 - 9*u**2. -3*(u + 1)*(3*u - 2) Let u be -5 + 111/18 - (-6)/(-4). Let o = u + 13/15. Solve o*c + 2/15*c**2 + 8/15 = 0. -2 Let m(s) be the first derivative of -2*s**3/51 - 12*s**2/17 - 16. Suppose m(y) = 0. Calculate y. -12, 0 Let r = -162 - -6481/40. Let s(j) be the second derivative of 0*j**2 + 0 - r*j**5 + 1/6*j**4 - 6*j - 1/3*j**3. Find c such that s(c) = 0. 0, 2 Let n(k) = k**3 + 15*k**2 - k - 13. Let d be n(-15). Let l = -3903/5 + 784. Determine p, given that -l*p**d + p + 2/5 - 4*p**3 = 0. -1, -1/4, 2/5 Suppose 34*v = 41*v - 14. Let r(z) be the second derivative of -3/20*z**5 + 0*z**v + 0*z**4 + 1/30*z**6 + 0 + 3*z + 2/3*z**3. Factor r(w). w*(w - 2)**2*(w + 1) Let p(d) be the second derivative of -d**5/10 + 11*d**4/6 + 25*d**3/3 + 13*d**2 + 576*d. Factor p(q). -2*(q - 13)*(q + 1)**2 Let i(d) = -d**2 - 17*d + 26. Let j be i(-18). Factor 7*n**4 - j*n**3 + n**4 - 4*n**2 - 1 + 10*n + 273*n**5 - 275*n**5 - 3. -2*(n - 2)*(n - 1)**3*(n + 1) Factor 2/5*m**2 + 490 - 28*m. 2*(m - 35)**2/5 Let v(r) be the third derivative of r**8/70560 + r**7/2940 + r**5/2 + 6*r**2. Let t(i) be the third derivative of v(i). Let t(c) = 0. Calculate c. -6, 0 Let n(z) be the first derivative of 1/27*z**3 + 1/18*z**2 + 13 - 2/9*z. Suppose n(q) = 0. What is q? -2, 1 Suppose -522*m = 1088 - 1264 - 1390. Find s, given that 16/5*s**2 - 42/5*s - 2/5*s**m + 36/5 = 0. 2, 3 Let l = 45 + -32. Suppose l*b - 48 = -3*b. Factor -2/11*q + 0 + 0*q**2 + 2/11*q**b. 2*q*(q - 1)*(q + 1)/11 Let l = -3464 + 3473. Factor -l - 3/2*v**2 - 15/2*v. -3*(v + 2)*(v + 3)/2 Let z be 18/5*(-25)/(-10). Suppose -z*t + 4*t + 75 = 0. Find s such that 12*s**3 + 2*s**5 + 3*s**4 - 3*s**2 - t*s**3 + s**5 = 0. -1, 0, 1 Suppose a = -2*b + 12, 5*b + 2*a = 3*b + 10. Let o be (b + -4)*(-2)/(-3). Find u such that -o*u + 4/3*u**2 - 4/3 = 0. -1/2, 2 Let r = -7763 + 69868/9. Find v such that r*v**4 + 2/9*v**2 + 0*v + 1/3*v**3 + 0 = 0. -2, -1, 0 Suppose -123 = -4*t + 5*u - 34, 3*t - 63 = 3*u. Let z(f) = 9*f**2 + 3*f - 17. Let q(s) = 28*s**2 + 8*s - 52. Let c(r) = t*z(r) - 5*q(r). Factor c(m). 4*(m - 1)*(m + 3) Factor -88/3*z - 64 + 4/3*z**2. 4*(z - 24)*(z + 2)/3 Let q(z) be the third derivative of -z**6/900 - z**5/50 + z**4/180 + z**3/5 - 5*z**2 - 27*z. Factor q(a). -2*(a - 1)*(a + 1)*(a + 9)/15 Let i(n) be the first derivative of n**7/1050 - n**6/600 + 19*n**2/2 + 6. Let w(h) be the second derivative of i(h). Factor w(m). m**3*(m - 1)/5 Suppose -p - 5*p + 6 = 0. Factor -1/2*t**2 + 1/2*t + p. -(t - 2)*(t + 1)/2 Let c = 3263/13036 + -1/3259. Factor 3/4*f**2 - c*f - 3/4*f**3 + 0 + 1/4*f**4. f*(f - 1)**3/4 Determine g, given that 68*g + 4*g**4 + 61*g**2 - 119*g + 15*g - 34*g**3 - 2*g**3 + 7 = 0. 1/2, 1, 7 Let i be -3 + -5*(-100)/168. Let y = 5/14 + i. Factor -1/3*p**3 - p - p**2 - y. -(p + 1)**3/3 Let m(d) be the third derivative of d**6/144 - d**5/6 + 35*d**4/48 + 245*d**3/18 - d**2 - 6. Find n, given that m(n) = 0. -2, 7 Factor -12*z**2 + 12*z**2 + z - z**5 + 2*z**4 - 2*z**2. -z*(z - 1)**3*(z + 1) Let p be -2 + 2/2 - -1. Suppose -11 = 5*g + 4*w - 6, 2*w = -3*g - 1. Factor 4 + 36*f**2 - 24*f + p*f - 16*f**g + 0 + 0*f**2. -4*(f - 1)**2*(4*f - 1) Let t = 50 - 48. Determine q, given that -15*q**3 - 29*q**t + 11*q**2 - 22*q**2 - 20*q + 10*q**4 + 5*q**5 = 0. -2, -1, 0, 2 Suppose 84 + 0 = 28*a - 0*a. Let o(f) = f**3 + 5*f**2 + 5*f + 4. Let i be o(-4). Factor -1/2*t**4 - 1/2*t**a + 0*t + i + t**2. -t**2*(t - 1)*(t + 2)/2 Suppose -3*k = 3*k - 18. Suppose 5*o = -4*x + 64, k*o + 2*x - 72 = -2*o. Determine v, given that 0*v + 0*v**2 + o*v**4 + v**2 + 2*v - 11*v**4 - 8*v**3 = 0. -2/5, 0, 1 Let x(i) = -4*i**2 - 16*i - 9. Let l(g) = 11*g**2 + 46*g + 27. Let t(p) = -3*l(p) - 8*x(
{ "pile_set_name": "DM Mathematics" }
tive of -9*n**5/20 - 5*n**3/3 - 3*n. Find the second derivative of q(p) wrt p. -54*p Let a(y) be the first derivative of -3*y**5/10 + 3*y**2/2 + 7*y - 2. Let z(v) be the first derivative of a(v). Differentiate z(t) with respect to t. -18*t**2 Let d(b) be the first derivative of 0*b + 0*b**6 - 2/7*b**7 - 4 + 0*b**5 + 0*b**4 + 2/3*b**3 + 0*b**2. What is the third derivative of d(h) wrt h? -240*h**3 What is the second derivative of 9*c + 0*c + 7*c**3 - 22*c**3 + 3*c wrt c? -90*c What is the third derivative of 2*f**2 + 181 + 4*f**3 - 181 wrt f? 24 Let v(h) be the second derivative of 7*h**5/20 - 5*h**4/6 + 5*h. What is the third derivative of v(t) wrt t? 42 What is the second derivative of -25*i**2 - i + 6*i + 24*i**2 wrt i? -2 Let p(i) be the third derivative of 5*i**8/168 + i**6/120 + i**5/12 + i**4/24 - 8*i**2 + 3*i. What is the third derivative of p(r) wrt r? 600*r**2 + 6 Let t be 2 - (-1)/(2/4). What is the derivative of -6*l**2 + 8 - t - l**2 wrt l? -14*l Let l(p) be the third derivative of 8*p**2 + 0*p**4 + 0*p + 0 + 7/60*p**5 - 4/3*p**3. Differentiate l(q) with respect to q. 14*q Suppose -2*a + 15 = d, -2*a - 5*d + 11 = -0*a. Let p = -4 + a. What is the second derivative of -w**5 - p*w - 4*w**5 + 0*w + 2*w**5 wrt w? -60*w**3 What is the derivative of 20*c**2 + 16*c**2 - 57*c**2 + 22*c**2 - 23 wrt c? 2*c Suppose 0*k + k = 4*h + 5, 0 = -5*k - 2*h + 3. What is the third derivative of -1 + k + 13*q**2 + 2*q**3 - 16*q**2 wrt q? 12 Let f(b) = 15*b**4 - 5*b**3 - 9*b**2 + 5*b. Let h(i) = 8*i**4 - 3*i**3 - 5*i**2 + 3*i. Let d(y) = -3*f(y) + 5*h(y). Find the third derivative of d(l) wrt l. -120*l Find the second derivative of -7*g + 20*g**3 - 14*g**3 - 28*g**3 wrt g. -132*g Let w(y) = -20*y**3 - 4*y**2 - 4*y - 25. Let c(v) = 41*v**3 + 9*v**2 + 9*v + 51. Let b(o) = 4*c(o) + 9*w(o). What is the derivative of b(r) wrt r? -48*r**2 Let q(x) = 3*x**2 - x. Let c = -2 + 3. Let i be q(c). Find the first derivative of -2 + h**4 + 1 + i wrt h. 4*h**3 Let d(b) be the first derivative of -1/3*b**3 + 0*b + 7/5*b**5 + 0*b**4 + 0*b**2 + 7. Find the third derivative of d(t) wrt t. 168*t Let w = 3 - 3. Let o = 2 - w. Find the third derivative of -4*b**2 + 2*b**6 + 0*b**6 + 5*b**o wrt b. 240*b**3 Let o = -1 + 6. Let c = 5 + -5. Find the third derivative of c*b**2 + 3*b**5 - 2*b**o - b**2 wrt b. 60*b**2 Differentiate 5 + 4*f**4 - 9 - 2 - 10 with respect to f. 16*f**3 Let c(m) be the third derivative of m**7/30 + m**5/5 + 10*m**2. Find the third derivative of c(j) wrt j. 168*j Suppose 5*d + 45 = 5*g, 3*g = 2*d + 24 - 1. What is the second derivative of 3*f**g + f - 4 + 4 - 2*f wrt f? 60*f**3 Let a(c) be the first derivative of -7*c**4/4 - 13*c**3/3 + 3. Find the third derivative of a(q) wrt q. -42 Let n(i) be the second derivative of -5*i**3/6 + 7*i**2 + 3*i. What is the first derivative of n(p) wrt p? -5 Let y(q) = -95*q**4 - 2*q + 17. Let w(a) = -32*a**4 - a + 6. Let g(p) = -17*w(p) + 6*y(p). Find the second derivative of g(x) wrt x. -312*x**2 Let x(j) be the third derivative of j**6/120 + j**4/8 - j**3/2 + j**2. Let w(y) be the first derivative of x(y). Differentiate w(i) with respect to i. 6*i Let q(h) be the third derivative of -h**6/72 - h**5/40 - 2*h**3/3 - 8*h**2. Let w(i) be the first derivative of q(i). Find the second derivative of w(l) wrt l. -10 Suppose 0 = -85*a + 82*a. Let g(t) be the first derivative of 0*t**4 + 2/3*t**6 + t**3 + 0*t**2 + a*t + 0*t**5 + 2. Find the third derivative of g(x) wrt x. 240*x**2 Let h(x) = -2*x + 4. Let l(v) be the first derivative of 3*v**2/2 - 3*v + 1. Let s(f) = -2*h(f) - 3*l(f). Differentiate s(a) with respect to a. -5 Let b(r) = r**3 - r**2 + r - 1. Let p(f) = 9*f**3 - 3*f**2 + 5*f - 3. Let m(t) = 3*b(t) - p(t). What is the second derivative of m(x) wrt x? -36*x Let k be (-15)/(-6) + 2 - 4. Let r(t) be the first derivative of t - 2 + k*t**2. What is the first derivative of r(o) wrt o? 1 Suppose 0 = o - 2*o. Suppose y = -5*k + 22, 2*k - y - 6 = -o*k. What is the first derivative of a**k - 1 + 0 - 3*a**4 wrt a? -8*a**3 Let o(f) be the first derivative of 0*f**3 + 0*f**4 + 0*f**5 - 2*f**2 - 2/3*f**6 + 1 + 0*f. What is the second derivative of o(v) wrt v? -80*v**3 Differentiate -7*d**3 + 2*d**3 - d**3 + 7 with respect to d. -18*d**2 Let p(l) = l - 2. Let d be p(5). Find the third derivative of 0*c**2 + d*c**4 + 0*c**2 + 2*c**2 wrt c. 72*c Let t be -1*(-1 + 4 + -5). Find the third derivative of -81*m**t + 0*m**3 + 80*m**2 - 4*m**3 wrt m. -24 Let u(z) = 5*z**2 + 12*z + 31. Let x(k) = 4*k**2 + 12*k + 33. Let b(d) = 5*u(d) - 6*x(d). What is the derivative of b(f) wrt f? 2*f - 12 Let z(y) = 2*y**3 - 14*y**2 - 6. Let k(a) = 4*a**3 - 28*a**2 - 11. Let g(m) = -6*k(m) + 11*z(m). What is the third derivative of g(x) wrt x? -12 Let w(r) = -r**3 + 7*r**2 + r - 2. Let m be w(7). Suppose -m*u + 4 = -3*u. What is the first derivative of -1 - u*n**3 + 1 - 2 wrt n? -6*n**2 Let z(c) = 5*c**3 - 10*c - 10. Let t(q) = 0*q**2 - 5*q**2 + 4*q**2 - 2 + 1 - q. Let m(y) = -10*t(y) + z(y). Find the third derivative of m(j) wrt j. 30 Suppose 0 = -2*v + 2. What is the derivative of -3 - v + n - 4*n + 2 wrt n? -3 Let j(b) = 6*b**2 - 2. Let m(a) = -a**2. Let h(q) = 2*j(q) + 18*m(q). Differentiate h(l) with respect to l. -12*l Let s(j) be the third derivative of j**6/40 - 11*j**3/6 - 10*j**2. Differentiate s(b) with respect to b. 9*b**2 Let y = -74 - -74. Let c(r) be the second derivative of 1/10*r**6 + y*r**5 + 0*r**3 + r + 0*r**4 + 0 + 3/2*r**2. Differentiate c(x) wrt x. 12*x**3 Let s(i) be the second derivative of -8*i**3/3 - 3*i**2 - 22*i. Differentiate s(o) with respect to o. -16 Let h(p) be the third derivative of p**8/336 + p**4/6 + 5*p**3/6 + 5*p**2. Let s(w) be the first derivative of h(w). What is the first derivative of s(g) wrt g? 20*g**3 Let s(v) = 0*v**2 + 2*v**3 - 7 + 0*v - v + 9*v**2 - v**3. Let k be s(-9). What is the third derivative of -c**3 - 7*c**2 + c**3 + 2*c**5 + 5*c**k wrt c? 120*c**2 Let z(n) = -n**3 + n**2 + n - 1. Let y(m) = -m**3 - 2*m + 2. Let u(f) = -y(f) - 2*z(f). Find the third derivative of u(b) wrt b. 18 Let c = 1 - -2. Find the second derivative of u + c*u**2 + 2*u - 4*u - u**2 wrt u. 4 Let x(s) be the third derivative of -2/105*s**7 + 0*s**6 - 1/30*s**5 + 0 + 0*s**3 + 0*s + 0*s**4 + 4*s**2. What is the third derivative of x(w) wrt w? -96*w Suppose 10 = 10*g - 8*g. Find the third derivative of 11*k**g + 23*k**2 - 26*k**2 - 4*k**5 wrt k. 420*k**2 Let d(l) = -l**2 + l - 1. Let y(m) = 6*m**3 + m**2 - m - 4. Let b(p) = d(p) + y(p). What is the first derivative of b(x) wrt x? 18*x**2 Let g(l) be the second derivative of l**7/840 - l**6/240 - l**4/3 - l. Let h(j) be the third derivative of g(j). What is the second derivative of h(x) wrt x? 6 Let j = 2 + -2. Differentiate -q + 2*q**2 + q - 1 + j with respect to q. 4*q Let u = 8 - 5. Suppose -u = 3*o - 4*o. Find the second derivative of -2*c**o - 2*c**3 - 3*c + 7*c**3 wrt c. 18*c Let s(i) = -22*i**3 + 10*i + 4. Let g(m) = m**3 + m + 1. Let j(o) = 4*g(o) - s(o). Find the second derivative of j(r) wrt r. 156*r Suppose -5*h + 6 = -2*h. Find the second derivative of -2 + t**2 + 2 + h*t + 0 wrt t. 2 What is the second derivative of -9*m + 4*m**5 + 13*m**4 - 10*m**4 - 3*m**4 wrt m? 80*m**3 Let v(n) be the first derivative of -1/2*n**4 + 0*n + 0*n**2 + 6 - 3*n**3. Find the third derivative of v(a) wrt a. -12 Let x(p) = p**3 - 6*p**2 + p - 4. Let g be x(6). Find the second derivative of -g*f**2 - 4*f**2 - f**2 + 4*f**2 - 2*f wrt f. -6 Let j(n) = -11*n**4 - 3*n**3 + 3*n**2 - 3. Let f(b) = -34*b**4 - 8*b**3 + 8*b**2 - 9. Let h(k) = -3*f(k) + 8*j(k). Differentiate h(s) wrt s. 56*s**3 Let q(w) be the third derivative of -2*w**6/15 - w**5/30 + 49*w**3/6 - 4*w**2 + 2. Differentiate q(b) wrt b. -48*b**2 - 4*b Let f(c) be the second derivative of 7*c**4/12 + 4*c**2 - c. Differentiate f(l) with respect to l. 14*l Suppose -19 = 2*j - 3. Let m = j - -13. Find the third derivative of 0*b**5 + 0*b**2 - 3*b**2 + 3*b**m wrt b. 180*b**2 Differentiate -6 - 3*t - 3 + 4 - 2 with respect to t. -3 Let t = 223/6 + -37. Let q(z) be the third derivative of 0*z**4 + 0 + 1/20*z**5 + 2*z**2 + t*z**3 + 0*z. What is the first derivative of q(f) wrt f? 6*f Let u(r) be the third derivative of -r**9/126 + r**5/30 -
{ "pile_set_name": "DM Mathematics" }
What is the closest to -2/7 in 1/6, q, z? z Let g(x) = -2*x - 3. Let s(q) = -q**2 - 2*q + 4. Let h be s(-4). Let b be g(h). Suppose -b - 3 = 2*p. What is the nearest to 0.1 in p, 5, 0.2? 0.2 Let m be -1 - (-5)/(30/676). Let n = 113 - m. Which is the closest to -1? (a) n (b) -3/7 (c) 1 b Let n(g) = -40*g - 7. Let q be n(-5). Let w = -968/5 + q. Let i = 19/4 + -5. Which is the nearest to i? (a) 5 (b) 3 (c) w c Let m = 0 - 3.3. Let a = m + 3. Let x = a + -0.7. What is the closest to 0 in -4, -1/5, x? -1/5 Let j be -4 + 1 - (-22)/8. Which is the nearest to -0.1? (a) j (b) -2 (c) -6 a Let z = -125 + 1127/9. What is the nearest to 2/5 in 2, 3/7, z? 3/7 Let n = 0.1 - 0.1. Let x = 28 + -29. Let p = 2 + 0. Which is the closest to 0? (a) x (b) p (c) n c Let s = -8.07 + 8. Let m = s + -2.93. Which is the closest to 1/2? (a) 1/7 (b) 3 (c) m a Let d be 8/(-10) + 130/100. Let s = 8.3 - 8. Which is the nearest to d? (a) 3 (b) 5 (c) s c Let q = -27.8 - -28. What is the nearest to -1/2 in 0.5, -0.1, q? -0.1 Let d = 69.5 - 70. Let u = -4.1 + 4. Which is the closest to -2/11? (a) 0.5 (b) d (c) u c Suppose -3*i + 8*i = 0. Suppose -1 - 5 = -2*n. Suppose -n*o = -o. What is the nearest to o in 0.1, -5, i? i Let i = 7.2 - 7. What is the closest to 1 in 2, i, 1? 1 Let w = 3.78 - -0.22. What is the closest to -0.1 in -0.2, w, -0.3? -0.2 Suppose -s = -2 + 3. What is the closest to -3 in s, -0.4, 5? s Let d = -1.17 - -0.77. Which is the closest to -1? (a) d (b) -0.06 (c) 3 a Suppose 3*q = q + 4. Suppose s + 3*u = -32, -2*s + 7*s + 80 = 5*u. Let n be (-14)/s - (-1)/(-2). What is the closest to q in 5, 3, n? 3 Suppose -3*f + 2 = -4. Let q be (6/14)/(26/(-26)). Which is the nearest to f? (a) 2/5 (b) q (c) -1 a Let l = 1.9 - 1.4. What is the closest to -0.2 in -2, l, 3? l Let d = -5.8 - -10. Let c = d - 4. What is the closest to -1/4 in 2/11, -2/3, c? -2/3 Let m(o) = o + 1. Let x be m(0). Let s be (13/4 - 0) + -2. Which is the closest to x? (a) -0.2 (b) 3 (c) s c Suppose -3*n = 2*n + 5. Which is the closest to n? (a) -0.5 (b) 1 (c) -4 a Let h = -0.2 - -0.7. Let m = 0.067 + -0.067. Which is the closest to m? (a) 2 (b) 0.2 (c) h b Let x = 5.12 + -0.12. What is the nearest to 2 in x, 0.1, -0.7? 0.1 Suppose 2*m - 4 = -4*v, 3*v - 3*m + 11 = -4. Let i be 34/10 + -41 + 37. Which is the nearest to v? (a) i (b) -1/3 (c) 2 a Let x = 4 + -1. Let f = -8 + x. Let p = -243 + 244. Which is the nearest to -1/2? (a) 0.3 (b) p (c) f a Let y = 1/39 + -43/156. Which is the nearest to y? (a) -2 (b) 1 (c) -0.2 c Let y = -2 - -2.1. Let m = -0.2 - -4.2. Let u = m + -9. What is the nearest to y in -4, u, 0? 0 Suppose -3*w = -d + 16, -4*d + w = -0*w - 9. What is the closest to d in -3, 0.5, 0.4? 0.5 Let n = 0.075 - 0.275. What is the closest to 0 in 4, n, -3? n Let v(u) = u - 9. Let f be v(4). What is the nearest to 0 in f, -4, 1? 1 Let r(z) = z + 8. Let s be r(-6). Let y be 3/12*(-6)/s. Which is the nearest to 0.1? (a) 0.4 (b) 0.3 (c) y b Suppose -3*z = 3*p + 21, -4*p - 19 = 2*z + 3. Let g be (p/(-5))/((-2)/10). Let h = -2 + -1. What is the closest to -0.1 in g, h, 2/17? 2/17 Suppose -5*k = -126 - 9. Let q be k/7 + -2 + -2. Let t = -4 + 7. Which is the nearest to 0.1? (a) t (b) -2/7 (c) q c Let u = -7.96 - -8. Let h = u - 0.14. What is the closest to h in -0.4, 1, -1? -0.4 Let r = 0.93 + 0.07. Which is the closest to r? (a) -9 (b) -0.4 (c) 1 c Let x = 7.4 + -8. Let q = 4.6 + -2. Let b = x + q. What is the closest to b in 3, -1/3, 4? 3 Suppose 4*l = 3 + 5. Suppose d = l*d - 3. Which is the closest to -2? (a) 1/3 (b) -4 (c) d b Suppose 3*o + 6 = 6*o. Let d be (0/(-10))/(2*-1). What is the nearest to d in 3, 4/5, o? 4/5 Let k = -1.8 - -1.9. Which is the closest to k? (a) -4 (b) -5 (c) -2 c Let i = 5/3 + -11/6. Which is the nearest to 0? (a) -2/5 (b) i (c) 0 c Let u = -1.2 - -0.2. Let p be ((80/(-55))/4)/2. Which is the closest to u? (a) -0.4 (b) p (c) -0.5 c Let t = -0.04 - 1.96. What is the nearest to -4 in 1/4, 3, t? t Suppose 5*w - 27 + 2 = 0. What is the closest to 0 in 3, 0, w? 0 Let q = 8.28 + -3.3. Let r = q + 0.02. Let j = r + -7. Which is the closest to -1? (a) 3 (b) j (c) 2/13 b Let y = -0.108 - -0.008. What is the closest to 1 in y, 0, 1/2? 1/2 Let r = -3 - -2. Let t = r - -0.9. Let j be (1/(4 - 3))/(-1). Which is the closest to j? (a) t (b) 0.4 (c) -5 a Let w = -0.5 - -0.3. Let g = w + 0.5. Let i = -0.17 - -0.07. Which is the nearest to i? (a) 2/11 (b) 2/9 (c) g a Let y be (17652/345)/((-2)/5). Let x = y - -128. Which is the closest to 0.1? (a) 0.5 (b) 5 (c) x c Let z = 21 + -20. Which is the nearest to z? (a) -4 (b) 2/11 (c) -4/3 b Let f be ((-8)/(-6))/(14/(-21)). Let w(h) = -2*h - 1. Let d be w(2). Which is the closest to f? (a) -4 (b) 1/5 (c) d a Let i = 86 + -46. Let w be (-34)/(-70) - 8/i. Which is the nearest to w? (a) 1/3 (b) -1 (c) 1/5 a Let h = -989812 + 18812377/19. Suppose -309 = z + r, 4 = -2*r + 3*r. Let t = h + z. What is the nearest to 2/7 in -1, t, 5? t Let i = 1.3 - -0.7. What is the closest to -0.1 in -2, -4, i? -2 Let f = -14.1 - -16. Let d = f - 1.5. What is the closest to 1 in -4/3, -0.2, d? d Let z = 2.08 + -0.08. Let g = 2 - -2. Let h = -3.9 + g. What is the nearest to 2/5 in h, -2, z? h Let s = 4.63 - -0.37. Which is the nearest to 0? (a) s (b) -1/8 (c) 1 b Let p = 41/15 + -17/5. Let j = -44/3 + 14. Which is the closest to j? (a) 3 (b) p (c) -3 b Let j(h) = -401*h - 4. Let d be j(-3). Let k be (20/18 - 1)*d. Let x = k + -133. What is the closest to 0.1 in 0, 5, x? 0 Let t = 0.27 - 0.3. Which is the nearest to t? (a) 0.3 (b) -0.4 (c) 0.1 c Let i = -67/28 + 9/4. What is the nearest to 0.2 in 2/5, i, 3? 2/5 Suppose 0 = 4*j + 3*z - 53, -4*z - z = 4*j - 59. Suppose 2*r - 3*r + j = 0. Let d be r/4 + 3/(-1). What is the nearest to -1 in 3, d, -2/7? -2/7 Let i = -0.15 + 0.25. What is the closest to i in 0.12, -3, 2/19? 2/19 Let i be 3 + (-35)/5 - (-21)/5. Which is the closest to -1? (a) i (b) 1 (c) -4 a Let x = -0.43 - -0.03. Let w be 0/(0 - (-2)/1). What is the closest to 1/4 in 3, x, w? w Let s = -15 - -8. Which is the nearest to 0? (a) -4 (b) s (c) 1 c Let u = 1.1 - 1.2. Let t(k) = -k**2 - 7*k - 3. Let y be t(-6). Which is the nearest to u? (a) y (b) 5 (c) -1 c Let y = 0 + -1. Suppose -4*q = -q. What is the closest to y in 4, q, -5? q Let a = 0.9 + -2.9. What is the nearest to 1/3 in 0.5, a, 2? 0.5 Let k be ((-20)/(-6))/(-5)*2. Let o be -7 - 2*(-3)/2. Which is the closest to -0.1? (a) 2 (b) o (c) k c Let l = -21 + 9.9. Let i = l + 12. Let j = -0.9 + i. Which is the nearest to -0.1? (a) 2/19 (b) -1 (c) j c Suppose 4 - 1 = w. Which is the nearest to w? (a) 0.3 (b) 2/5 (c) 4 c Let s = 6 - 4. Let v(i) = 2*i. Let a be v(4). Let o be (-4 - -2)/(a/(-5)). What is the nearest to s in 1, 5, o? o Let y be (1/6)/(3/4). Let n = -2/17 - -48/119. What is the nearest to n in y, 1, -4? y Let w = -37 - -223/6. Let n = 45/11 - 139/77. Let x = n - 34/21. What is the nearest to 2/3 in x, w, 3/4? x Let n = -1 - -1.1. Let b = 4 - 3. Let y = -1.8 + 2. What is the nearest to n in 0.3, b, y? y Let z be (-3592)/45 + 6/(-15). Let k = 80 + z. Let m be (-1)/(-1 - 9/(-2)). Which is the closest to -3/2? (a) m (b) k (c) -4 a Let s be (-27)/19 + 1 + 0. Let r = s - -94/133. Let f be 2/(-4) - (-2)/(-4). Which is the closest to f? (a) r (b) -3 (c) -0.1 c Let o = -0.4 + 0.2. Let j = -10 - -14. Let z = -3 + 5. Which is the closest to 1? (a) z (b) j (c) o a Let y = -173/408 - -13/24. Which is the closest to 0.1? (a) 1 (b) y (c) 1/9 c Suppose 0 = -27*f + 22*f + 5. Suppose -5*z + 15 = -0*z. What is the closest to f in -3/4, 2, z? 2 Let f = 51 - 152/3. Which is the nearest to f? (a) 0.5 (b) -5 (c) 0.4 c Suppose -3*w + 2*f = 2*w - 6, 4*w - 2*f - 6 = 0. What is the nearest to w in 0.4, 0, 0.2? 0 Suppose -q = 4*q + 135. Let k = q + 79/3. Which is the closest to -2/5? (a) -1 (b) 4 (c) k c Let o = -6.8 + 7. Let a = -9/164 - -1123/23452. Let k = 137/858 - a. What is the nearest to 0 in k, o, -3? k Suppose 2 + 16 = 2*w. Let x = -5 + w. What is the closest to 0.1 in x, 5, 1/2? 1/2 Let x be 14/3 - 4/6. Let d be ((-2)/3)/(x/12). Let k be (-6)/(-1)*d/27. Which is the nearest to 1? (a) -4
{ "pile_set_name": "DM Mathematics" }
*a**3*c**2 + 6*a*c**2 - 7*c**3 wrt c. 42*a**3 - 42 What is the derivative of -6564*p**4 - 2311? -26256*p**3 What is the derivative of -163*s - 60? -163 Differentiate 10*a**2*u**2 - 2447*a**2 - 152*a*u**2 + a wrt u. 20*a**2*u - 304*a*u What is the first derivative of 1349*a + 1647? 1349 Differentiate -384*q + 22 wrt q. -384 What is the first derivative of 469*j**2 + 4*j + 5262 wrt j? 938*j + 4 Find the third derivative of 818*y**3 + 216*y**2 wrt y. 4908 Find the third derivative of -290*a**6 - 2*a**2 + 6*a wrt a. -34800*a**3 Find the first derivative of 9*a*r**3 - a*r**2 + a + 2*r**2 - 18 wrt r. 27*a*r**2 - 2*a*r + 4*r What is the second derivative of 29*g**4 + 2*g**3 + 105*g wrt g? 348*g**2 + 12*g Differentiate -971*g - 1042. -971 Find the first derivative of -210*o**3 + 90 wrt o. -630*o**2 What is the third derivative of 2*t**5 + 1679*t**4 - 1833*t**2 wrt t? 120*t**2 + 40296*t Find the second derivative of -4*l**3 + 2*l**2*x*y**3 - 83*l**2*x*y + l*x*y**3 - 2*l*x*y**2 - 98*x - y**3 wrt l. -24*l + 4*x*y**3 - 166*x*y What is the third derivative of 289*p**3 - 486*p**2 wrt p? 1734 What is the third derivative of -3*a**5 - a**4 + 1262*a**3 + 8935*a**2? -180*a**2 - 24*a + 7572 Differentiate -2*b*o*q + 2*b*q*x - 6*b*x**3 - o*q*x**3 + 42*o*q + 2*q*x wrt o. -2*b*q - q*x**3 + 42*q What is the derivative of 1123*c**2*i + 235*i wrt c? 2246*c*i What is the derivative of 2*x**3 + 9*x + 1414? 6*x**2 + 9 Find the third derivative of -2*q**4 + 1469*q**3 - 3509*q**2 wrt q. -48*q + 8814 What is the third derivative of 120*n**3 - 97*n**2 - n? 720 What is the third derivative of x**2*z**3 - 7*x**2*z - 56*x*z**4 - 2*z**2 - 5 wrt z? 6*x**2 - 1344*x*z What is the second derivative of -32*s**3 - 25*s**2 - 1699*s wrt s? -192*s - 50 Find the third derivative of -12*b**3*d**3 - b**3*d - 2*b**2*d**4 - 60*b**2*d**2 + 2*d wrt d. -72*b**3 - 48*b**2*d Differentiate -120*o**3 + 261 with respect to o. -360*o**2 Find the third derivative of -9*d**2*k**3*v**3 + 4*d**2*k**3*v + 15*d**2*k**2*v**3 - d*k**3*v**2 - d*v**2 wrt v. -54*d**2*k**3 + 90*d**2*k**2 Find the third derivative of -3*l**2*n**2*o**3 - 7*l**2*n**2 + 11*l**2*o**3 + 13*l**2*o**2 + 2*l*n*o**2 - 2*l*n*o + 3*o**4 wrt o. -18*l**2*n**2 + 66*l**2 + 72*o Find the third derivative of -3223*g**2*y**6 - g**2*y**3 + 7*g**2*y + 3*g*y**2 - 15*y wrt y. -386760*g**2*y**3 - 6*g**2 What is the second derivative of 1478*d**4 + 523*d? 17736*d**2 Find the second derivative of -q**2*u**3 + 269*q**2 + 21*q*u**3 - 5*q*u**2 - 3*q + 2*u wrt q. -2*u**3 + 538 What is the second derivative of 1863*q**4 - 751*q? 22356*q**2 What is the derivative of 9*n**4 - 3*n**3 - 133? 36*n**3 - 9*n**2 Differentiate 9*j**3*p - 27*j**3 + 2*j**2*u**3 + 31*p*u**3 - p*u**2 - 3*p*u - u**2 wrt j. 27*j**2*p - 81*j**2 + 4*j*u**3 Find the first derivative of -2*b*r**3 + 142*b*r + b + 35*r**3 - 9*r**2 wrt b. -2*r**3 + 142*r + 1 Find the second derivative of 9*g**3*v**2 - 212*g**3 - g**2*v**3 + 4*g**2*v + g*v + 3*v**2 wrt v. 18*g**3 - 6*g**2*v + 6 What is the third derivative of 2*a**2*m**3 + a**2*m**2 - 109*a**2 - 644*a*m**5 wrt m? 12*a**2 - 38640*a*m**2 Differentiate 2*b**4*u**2*y + 753*b**4*u*y - 5*u**2*y - 36*u**2 - 2*u*y - 3 wrt b. 8*b**3*u**2*y + 3012*b**3*u*y Find the second derivative of -4*f*t**3 + 3*f*t**2 - 42*f*t + 187*t**3 + 85*t wrt t. -24*f*t + 6*f + 1122*t What is the first derivative of -185*m + 132 wrt m? -185 What is the third derivative of 3115*j**3 - 1280*j**2 wrt j? 18690 What is the third derivative of 3*i*u**2*w**2 - 3*i*u**2*w - 33*i*u*w**3 + 12*i*w**3 + 2*u**2*w**3 + 3*u**2*w**2 + 10*u**2 wrt w? -198*i*u + 72*i + 12*u**2 Find the second derivative of -894*o*q**2 + 3*o*q + 4*o + 15 wrt q. -1788*o Differentiate 446*y**4 + 74 with respect to y. 1784*y**3 Find the second derivative of -227*j**5 - 250*j. -4540*j**3 What is the second derivative of 16*q**3*y**4 - q**3 - 2*q*y**4 - q + 23*y wrt y? 192*q**3*y**2 - 24*q*y**2 Find the second derivative of 12*o**4*r - 1326*o**2*r**2 + 4014*o - 3*r**2 wrt o. 144*o**2*r - 2652*r**2 Find the first derivative of 206*d**4*r + 3001*r wrt d. 824*d**3*r Find the third derivative of 25*b**4 + 14*b**3 - 357*b**2 wrt b. 600*b + 84 What is the second derivative of -1545*t**5 - 2*t**4 - 40*t - 127 wrt t? -30900*t**3 - 24*t**2 What is the first derivative of -13*k*t**2 - 61*k + 6*t**4 - 1 wrt t? -26*k*t + 24*t**3 What is the first derivative of 9*m**3 - 4*m**2 + 159? 27*m**2 - 8*m Find the third derivative of -164*a**3*x**3 - 2*a**2*x**2 + 32*a*x**3 wrt a. -984*x**3 Differentiate -2*g**3*l + 2*g**3 + 2*g**2*l + 221*g - 14*l**2 wrt l. -2*g**3 + 2*g**2 - 28*l What is the derivative of 4*x**2 - 18*x + 160 wrt x? 8*x - 18 What is the second derivative of 70*p**4*y**3 - 2*p**2*y + 356*p*y**3 + 3*y**3 + 1 wrt p? 840*p**2*y**3 - 4*y What is the first derivative of 7242*m**4*q - 408*q + 4 wrt m? 28968*m**3*q Find the second derivative of -h**5 - 1181*h**3 - 8*h - 37 wrt h. -20*h**3 - 7086*h Find the second derivative of -361*n**4 - n + 33 wrt n. -4332*n**2 What is the first derivative of 968*d*j**2 - 36*d - 8 wrt j? 1936*d*j What is the third derivative of 11639*v**3 + 1408*v**2 + 1? 69834 Find the second derivative of -33*c**2*g**2 + c**2 + 87*c*g + 11*g**5 - 2*g wrt g. -66*c**2 + 220*g**3 What is the second derivative of 1601*z**5 - 246*z - 9? 32020*z**3 What is the second derivative of -5*k**4 - k**2 + 9*k - 7 wrt k? -60*k**2 - 2 Differentiate 60*a**2 + a - 500 wrt a. 120*a + 1 Find the third derivative of -5*r**4 + 36*r**3 - 659*r**2. -120*r + 216 What is the first derivative of -9*n**4*t + 2*n**4 + n**3*t + 5*t - 465 wrt n? -36*n**3*t + 8*n**3 + 3*n**2*t Find the third derivative of -1729*n**3 - 3*n**2 - 888. -10374 Find the first derivative of a**2*f**3 - 66*a**2*f**2 + 102*f**3 wrt a. 2*a*f**3 - 132*a*f**2 Find the first derivative of a*c**3 - 2*a + 47*c**3 + 188 wrt c. 3*a*c**2 + 141*c**2 What is the third derivative of 119*c**2*u**3 + 2*c**2*u**2 + c**2*u - 20*u wrt u? 714*c**2 What is the first derivative of 129*v + 629? 129 What is the third derivative of -41*p**5 + 3*p**4 - 2*p**2 + 107*p wrt p? -2460*p**2 + 72*p Differentiate 165*r**4 + 39*r**3 + 2*r + 12660 with respect to r. 660*r**3 + 117*r**2 + 2 Find the third derivative of 4*b**3*c**2*o**2 + 270*b**3*c*o - b**2*c*o**2 + b**2*o - 255*b*c**2*o - 3*b*c**2 wrt b. 24*c**2*o**2 + 1620*c*o Differentiate 257*q**4 + 2*q**3 + 338 wrt q. 1028*q**3 + 6*q**2 Find the third derivative of 68*h**5 - 49*h**3 + 6047*h**2 - 3 wrt h. 4080*h**2 - 294 What is the first derivative of 2*i*k*t + 13*i + 86*k*t**3 + 35*t**3 wrt k? 2*i*t + 86*t**3 What is the third derivative of 3*s*y**6 - 103*s*y**5 + 8*s*y**2 + 58*s wrt y? 360*s*y**3 - 6180*s*y**2 Find the first derivative of 889*w**4 - 3314. 3556*w**3 What is the first derivative of -221*f - 1756? -221 Find the first derivative of 22*y**4 - 2*y**2 + 14*y + 9599. 88*y**3 - 4*y + 14 Find the third derivative of -109*d*s**5 + d - 30*s**6 + s**2 - 2*s wrt s. -6540*d*s**2 - 3600*s**3 What is the second derivative of 2774*t**3 - 1789*t wrt t? 16644*t What is the first derivative of -4*j**4 - 1019*j**2 - 4682? -16*j**3 - 2038*j What is the third derivative of 5*d**4 - 52*d**3 + 456*d**2? 120*d - 312 What is the second derivative of -818*o**2 + o - 18 wrt o? -1636 Find the second derivative of 1584*o**3 - 1232*o. 9504*o What is the second derivative of 3*h**4 - 787*h**2 + 2*h + 57? 36*h**2 - 1574 Find the second derivative of 5*b*h**2 + 340*b*h*m - 3*h**2*m - 7*h**2 + h - m wrt h. 10*b - 6*m - 14 Find the first derivative of 3885*g**2*h**2 - 2842*g**2 wrt h. 7770*g**2*h What is the first derivative of 21787*d**3 + 21879 wrt d? 65361*d**2 What is the second derivative of 13070*u**3 + 116*u + 6? 78420*u Find the second derivative of -d*f**4 - 230*d*f - 8*f**4 wrt f. -12*d*f**2 - 96*f**2 What is the second derivative of 194*a**5 + a**2*m**3 + 7*a*m - m**3 wrt a? 3880*a**3 + 2*m**3 What is the first derivative of p**2 + 115*p + 99? 2*p + 115 What is the second derivative of -8*b**3*i**2 + 8*b**2*i**2 + 88*b**2*i - 189*b*i**2 + b*i + 2*b + 2*i**2 wrt b? -48*b*i**2 + 16*i**2 + 176*i What is the derivative of -9*v**4 - 1048 wrt v? -36*v**3 What is the first derivative of 2*d*j*o + 16*d*j - 59*d*o + 15*j*o - j - 8*o - 1 wrt d? 2*j*o + 16*j - 5
{ "pile_set_name": "DM Mathematics" }
174 + -173. Determine o(f). 3 Let b(o) = o**2 - 7*o + 16. Let y = 985 + -980. Determine b(y). 6 Suppose 3*y - 6*y + 2*z - 10 = 0, -5*z - 25 = 5*y. Let b(s) be the first derivative of s**4/4 + s**3 - s**2 + 3*s + 3. Determine b(y). -5 Let n(l) be the second derivative of l**6/360 - l**5/15 + l**4/3 + 2*l**3 + 9*l. Let m(q) be the second derivative of n(q). What is m(6)? -4 Suppose 5*y = 5*b + 20, -5*b - 2 = 8. Let z(o) = -4*o**2 + 4*o - 2. Give z(y). -10 Let w(m) = -12*m. Let x = -1021 - -1020. What is w(x)? 12 Let g = 1506 + -324. Let w(f) = -g - f + 1181 + 8*f. Determine w(1). 6 Let a be (0/1)/(1 + 0). Let j(r) = r**2 - r + 5. Let n(h) = 4*h**2 - 3*h + 15. Let f(g) = -7*j(g) + 2*n(g). Give f(a). -5 Let f(s) = -2*s + 2. Let o be f(4). Let b(z) = 3*z**3 - 3*z**3 + 5*z + 2*z - 5*z**2 - z**3. Give b(o). -6 Let k(w) = -w**2 + 6. Let v be (17/3 - 24/(-18)) + -7. What is k(v)? 6 Let o(x) = -x**2 - 16*x - 8. Let v = -46 + 30. Let r be o(v). Let z(a) = -a**2 - 9*a - 1. What is z(r)? 7 Let c(p) = p**2 - 131*p + 384. Let r be c(3). Let b(u) be the first derivative of u**4/4 - u**3/3 - u**2/2 - 8*u - 1. What is b(r)? -8 Let c(o) = o**3 + 14*o**2 - 14*o + 18. Let h(s) = 13*s + 37. Let d be h(-4). Give c(d). 3 Let b(y) be the second derivative of -5*y**3/3 + y**2 + y. Let o(v) = -2*v**2 + 177*v + 457. Let m be o(91). Give b(m). -18 Let g(f) be the second derivative of -f**4/6 - f**3/2 - f**2 - 5*f + 1. Give g(3). -29 Let y(o) = -5*o - 2. Let n(r) = 11*r + 3. Let c(a) = -3*n(a) - 5*y(a). Calculate c(5). -39 Let i(s) = -6*s**3 + 27*s**2 + 4*s + 9. Let a(y) = -5*y**3 + 26*y**2 + 3*y + 10. Let r(g) = -5*a(g) + 4*i(g). Determine r(22). 8 Let n(g) be the third derivative of -g**7/840 - g**6/144 + 11*g**5/60 - 7*g**2. Let z(h) be the third derivative of n(h). Give z(-5). 25 Let u be -16 + 20 + 3 - (11 + -1). Let q(f) = f**3 - f**2 - 4*f - 7. Determine q(u). -31 Let c(k) = -k**2 + k + 10. Let g be (0 - 0)/(-146 + 148). Calculate c(g). 10 Let a = 26 + -90. Let g be ((-8)/(-10))/(a/(-30) - 2). Let f(i) = 2*i - 5 + 4 - 4. Give f(g). 7 Let t(k) = k + 6. Suppose -5*h - 34 = 2*m, 0 = 3*h - 5*m + 26 + 13. Determine t(h). -2 Suppose -37 = -3*u - 2*m - 2, -3*m = -4*u + 24. Let f(k) = -u - 4*k + 8 + 7*k. Let b(t) = -3*t + 76. Let n be b(26). Give f(n). -7 Let y(i) = 11*i - 39. Let d(w) = -6*w + 21. Let t(h) = -9*d(h) - 5*y(h). Let m(s) = s + 7. Let u be -6 + (2 - 0/(-1)). Let j be m(u). What is t(j)? 3 Suppose -177*x = -180*x - 3. Let l(a) = 7*a**2 - a - 1. Give l(x). 7 Let v(q) = q**2 - 4*q**2 - 3*q + 3*q. Suppose 3*l + 2*k = 8*l + 14, l - 8 = -5*k. Give v(l). -12 Let o(h) be the second derivative of h**6/120 - h**5/15 + 5*h**4/24 - h**3/2 + 8*h**2 - 6*h. Let s(t) be the first derivative of o(t). Give s(4). 17 Let s(p) = -7*p**3 + 7*p**2 + 2*p + 2. Let g(k) = 3*k**3 - 5*k**2 - k - 1. Let j(h) = -3*g(h) - 2*s(h). Determine j(-2). -35 Let y(b) = 4*b**2 - 2*b + 2. Let i(h) = -h**2 - h. Let f(n) = -3*i(n) - y(n). Let p = -195 + 199. What is f(p)? 2 Let y(c) = -c + 11. Let q be y(7). Let i(v) = -5*v**3 + 2*v + q*v**3 + 2*v**3 + 3*v**2 + 2*v. Let z = 31 + -34. Calculate i(z). -12 Let y(q) = -q - 6. Let n be 0 + (-6)/4*-6. Let u = 4 - n. Determine y(u). -1 Let c(r) = -r**2 - 2. Let b be 6/12*2*35. Let l = -35 + b. Give c(l). -2 Let l(j) = j**3 - j**3 - 3*j**2 + j + 2*j**3 - 1. Suppose -5*b - 4*r = 19, 0 = -2*b - 3*b + 2*r - 13. Let d be 10/35*(b/(-3) - -6). Give l(d). 5 Let k = -1068 - -1069. Let a(g) = 13*g**2 - 2. Give a(k). 11 Let u be (21/(-9) - -1)*3. Let r be u/8 - 20/(-8). Let g(s) = -s - 3*s**r + 0*s**2 + 0*s + 4*s**2. Determine g(3). 6 Let p(d) be the second derivative of -d**7/840 + d**6/90 - d**5/40 - 4*d**3 + 11*d. Let j(g) be the second derivative of p(g). Determine j(3). 0 Let m = 22 + -19. Let g(b) = -b**3 - b**2 - b. Let u(i) = 3*i**3 + 2*i**2 + 2*i. Let y(v) = m*u(v) + 5*g(v). Let n = -8 + 7. Determine y(n). -4 Let j(r) = r**3 - 6*r**2 - 7*r - 4. Suppose -4*p + 3 = -2*t - 5*p, -2 = 2*p. Suppose -4*k + 30 = 26. Let c be 7/((t - -2)/k). Give j(c). -4 Suppose 0 = -3*n - 3*n + 12. Let a(c) = -4*c**2 + 3*c**n + 14*c**3 + c + 5*c**2 - 3*c**2. What is a(-1)? -14 Let y be 6/14 + ((-18)/42 - -8). Let z(q) = -13*q + 15. Let j(h) = 3*h - 4. Let b(a) = -9*j(a) - 2*z(a). Give b(y). -2 Suppose -3*x + b - 5*b - 13 = 0, x + 2*b = -3. Let m(z) be the second derivative of 0 - z**2 - 1/6*z**3 + 16*z. Give m(x). 5 Suppose 5*a - 941 + 911 = 0. Let k(l) = -l - 6. Calculate k(a). -12 Suppose -309*i + 319*i - 60 = 0. Let u(h) be the second derivative of -h**5/20 + 7*h**4/12 - 7*h**3/6 + 5*h**2/2 + 2*h. Determine u(i). -1 Suppose -8*m = 31 + 49. Let a be ((-5)/m*-10)/1. Let s(r) = -3*r**2 - 2*r**2 - 3 - 6*r + 4*r**2. What is s(a)? 2 Let v(n) = n**2 - 4*n - 3. Let j = 57 + -59. Give v(j). 9 Let r = 36 - 31. Suppose -x = -4*y + r, -y - y = x + 5. Let h(d) = d**3 + 5*d**2 - d - 4. Calculate h(x). 1 Let o(p) be the third derivative of p**4/12 - p**3/6 - 33*p**2 - 3*p. Let l = 8 - 13. Let j = 2 + l. Determine o(j). -7 Let m be (9 - 6) + -6 + 7 + -1. Suppose c = m*c - 8. Let n(r) = -2*r + 6. Calculate n(c). -2 Let d(c) = c**3 + 5*c**2 - 1. Suppose 15 = -8*l - 1. What is d(l)? 11 Let v(r) = -4*r**3 - 3*r**2 - 6. Let x(f) = 3*f**3 + 2*f**2 + 4. Let u(w) = -5*v(w) - 7*x(w). Calculate u(2). -2 Let b = -3 - -9. Let n(k) = -3*k**2 + 10*k - 3. Let q(d) = -7*d**2 + 21*d - 7. Let h(i) = 5*n(i) - 2*q(i). Calculate h(b). 11 Let j(a) be the third derivative of -a**6/60 - a**4/12 - a**3/6 - 172*a**2. What is j(-1)? 3 Let v(p) be the second derivative of p**3/6 - 8*p**2 + 17*p. Determine v(9). -7 Let u = -159 + 156. Let q(c) = -c**2 - 7*c - 7. Determine q(u). 5 Suppose 8*a + 1 = 9*a. Let t(k) = -2*k + 11*k + a - 5*k - 8*k. Determine t(5). -19 Let z(p) be the third derivative of -1/60*p**5 + 4/3*p**3 + 0 + 0*p + 2*p**2 - 7/24*p**4. Give z(-8). 0 Suppose -27*g - 52 = -457. Let p(l) = -l**2 + 15*l - 2. Calculate p(g). -2 Suppose 3*w - 4*d + 27 = 0, -w = -6*w - 4*d - 13. Let x(s) = 2 - 2 + 4 + 5*s**2 + s + s**3 - 5. What is x(w)? -6 Let q(i) = i + 22. Let m(y) = 3*y + 84. Let k(g) = -4*m(g) + 15*q(g). Determine k(3). 3 Let h = -386 - -382. Let x(o) = -2*o + 9. What is x(h)? 17 Let o(h) = h**3 - h**2 + h - 2. Suppose l + 2*s = 4*s + 5, 3*l = -4*s - 15. Let u be l/(5/(-2) - -2). What is o(u)? 4 Let q(i) be the first derivative of -i**5/60 - 55*i**3/3 - 48. Let r(n) be the third derivative of q(n). Suppose 0 = 3*s - 5*s + 4. Give r(s). -4 Let q(u) = 9*u**3 - 9*u**2 - 3*u + 4. Let b(t) = 7*t**3 - 8*t**2 - 3*t + 3. Let l(d) = -4*b(d) + 3*q(d). Calculate l(4). 28 Let x(d) be the second derivative of -2*d - 1/2*d**2 + 5/6*d**3 - 1/12*d**4 + 0. Determine x(6). -7 Let y(z) = -z**3 + z - 12. Let u(o) = o**3 - 4*o**2 + 4*o - 1. Let a be u(1). Determine y(a). -12 Suppose 5*x + 5*c - 20 = 0, -5*c + 5 + 1 = -2*x. Let y(f) = -3 - 2*f - f**2 + 4*f**2 + 2*f**2 + f**3 - 9*f**x. Give y(4). -11 Let r(h) = -h**2 - 20*h - 105. Let c be r(-7). Let z(x) = -x**3 - 13*x**2 + 16*x + 21. Calculate z(c). -7 Let d(v) be the first derivative of -7*v**2/2 - v - 15. Let i(x) = -13*x - 2. Let u(c) = -11*d(c) + 6*i(c). Determine u(7). -8 Suppose 0*c - 4*c + 4*d - 8 = 0, -4*c + 5*d - 8 = 0. Let p(t) = -3*t - 7. Let o(g) = 4*g + 7. Let s(f) = c*o(f) - 3*p(f). What is s(-9)? -2 Let s(x) = 6*x**2 + 5*x + 8. Let b(p) = 17*p**2 + 14*p + 23. Let d(w) = 4*b(w) - 11*s(w). Let r(n) be the first derivative of d(n). Give r(-2). -7 Let h(r) be the second derivative of r**5/120 - r**4/8 + 2*r**3/3 + 7*r. Let d(j) be the second derivative of h(j). Determine d(0). -3 Let s(m) = -m**3 - 4*m**2 + 5*m + 7. Suppose 3 = -5*v + 3*u + 6, -3*v + 2*u + 2 = 0. Suppose 3*g - 2*g - 6 = v. Suppose 0 = h - g*h - 25. Calculate s(h). 7 Let k(b) = -3*b + 6. Let n = -298 + 302. Give k(n). -6 Let u(w) = 5 + 3*w - 2*w**2 + w**3 + w**2 - 4*w. Let d(o) = 7*o - 98. Let v be d(14). What is u(v)? 5 Let d(k) = -5*k**3 + 8*k**2 + 2*k - 6. Let p(o) = 2*o**3 - o**2 - o + 2. Let f(n) = d(n) + 2*p(n). Suppose 2*a - 6*a = -32. Let w = a + -2. Determine f(w). -2 Let x(q) = -q**3 - 2*q**2 + q - 16. Let f be x(0). Let u(o) = o**3 + 18*o**2 + 33*o + 21. Let b be u(f). Let t(g) = -4*g + 4. Give t(b). -16 Suppose 21 = -a + 25. Suppose -a*w - 2 = -6, 0 = 2*x - 3*w - 1. Let v(g) = -g**3 - 2*g**2
{ "pile_set_name": "DM Mathematics" }
d 0.1 equal? False Let x be 3/((-6)/(-4)) + -1. Let o be (-60)/24*(-131)/(-10). Let l = o + 33. Is l equal to x? False Let q be ((-18)/(-4))/((-24)/(-16)). Which is greater: q or 19/5? 19/5 Suppose w - z - 4 = -8, 0 = 4*w - 2*z + 6. Let a be (w/38)/((-6)/24). Is -1 not equal to a? True Let c(a) = -a**2 + 9*a - 7. Let z be c(8). Let o be (3/(-15))/(z/(-5)). Let k be -1 - 3/(27/(-12)). Which is bigger: k or o? o Let o = 18069 + -1770737/98. Let q = -36767/1470 - o. Let a = q + 74/3. Is 2 bigger than a? True Suppose 0 = 5*t - 10*t + 10. Suppose 0 = c, -c - 15 = -5*x + t*c. Which is smaller: x or 4? x Let v = -31 - -28. Which is bigger: -1 or v? -1 Let o = -2 + 0.1. Let z = -2 - o. Let i = -216 + 2806/13. Is z smaller than i? False Let u be 3/(-7)*1/3. Let k(q) = -q**3 - q**2 + 2*q + 1. Let l be k(-2). Let f be 4/6 + l/3. Is f < u? False Let m = 1.4 + -2.4. Let r = -58 - -233/4. Which is greater: m or r? r Let d = 714/11 + -65. Is d >= -1? True Let t(s) = -s - 8. Let o be t(-6). Let w be (-2)/(-4) + o*13. Let d = -25 - w. Do 0 and d have different values? True Let a = 8 + -5. Suppose w - 4 = -a. Suppose 0 = -5*s + 3 + 2. Is w < s? False Let k = 32/11 - 875/297. Which is smaller: k or 0? k Let n = -4 + 4. Let a be -1 - (1 + 1*-4). Suppose 6 = i + a*i. Are i and n equal? False Let z = -9 + 11. Which is greater: 1 or z? z Let a(i) = i**2 - 7*i + 6. Let l be a(6). Let o be l + -2 + (-18)/(-10). Is o smaller than 0? True Let v be (-1 + -1)/(-3 + 1). Let l = -1/109 - -3205/4796. Let b = l + -10/11. Are v and b equal? False Suppose 5*d + 10 = -0*d. Let w be 4/30 - d/(-10). Is 1 at least w? True Let j be (-2)/(-6) - 8/(-30). Suppose 3*v + 2*o + 2 = 0, 2*v + o - 1 = -2. Which is bigger: j or v? j Suppose s = -0*s + 4. Suppose -8 = 2*z + w, s*w = z + 16 + 6. Is z equal to -6? True Let u = -19 - -20. Let w be 16/10 + (-3 - -1). Is u >= w? True Suppose -16*h + 18*h = -2. Which is greater: h or 1/26? 1/26 Suppose -d = 3*k - 3, -3*k = -8*k + 3*d + 19. Suppose -3*p + 13 = f - 9, 3*p - k*f - 19 = 0. Let h = 6 - p. Is h at least -1? True Let j = 265/4 - 123/2. Is j bigger than -2/17? True Let w be 0 - (4 + -2 + 1). Let j(m) = -m**3 - m**2 + 3*m - 4. Let t be j(w). Suppose 4*r = c + 2*c + 29, 4*r - 35 = t*c. Is c bigger than -2? False Let m = -7 + 10. Let z be ((-45)/(-6))/(3 + 0). Which is greater: z or m? m Let i(a) = -2*a + 4. Suppose n = -2*v + 6, -2*n - 5*v + 24 = -4*n. Let t be i(n). Which is bigger: t or 9? 9 Let b be (22/26 - 1) + (-132)/1001. Let r(l) = -l + 7. Let v be r(6). Which is smaller: v or b? b Let x = 0 + 1. Let o(h) = -h**3 + 2*h**2 + 4*h - 1. Let v be o(3). Suppose -5 = -3*p + v*d - 3, 1 = 2*p - d. Is x <= p? False Suppose 3*b + 4 = 5*b. Suppose -17 = -k - 4*x, b*k + 18 = 2*x + 3*x. Suppose t - 8 = -3*t. Which is smaller: t or k? k Let v = -3.3 - 0.7. Let u = v + 3. Let s = u - -1.1. Are s and -1 unequal? True Suppose 0 = -o + 2*o - 5. Suppose -4 = -2*w - 2*q, -o*w + 1 = -3*q - 1. Let z be (-3)/9 + 1/12. Is z greater than w? False Let t = -3224 - -738298/229. Let g = t - -448/1145. Are 1/3 and g equal? False Suppose -5*z = 9 + 1, -4*d - 32 = -2*z. Let b = 1 + d. Is -8 equal to b? True Suppose 17*o + 879 + 1127 = 0. Which is greater: -119 or o? o Let t(u) = -4*u**3 - 5*u**3 + 10*u**3 - 4*u**2. Let s be t(4). Let j be (1 - 0) + 10/(-8). Which is smaller: s or j? j Let s = 0.2 + 0.6. Let b = -0.9 + s. Let m = -1.9 + b. Which is smaller: -2/5 or m? m Let d = 1.56 - 2.56. Is -18 greater than d? False Let c(w) = -3*w + 0 + 4*w + 1. Suppose -6*d - 2 = -4*d + 2*y, 4*y - 11 = -d. Let a be c(d). Which is greater: a or 1? 1 Let f = 0.9 - -0.1. Is -2/9 < f? True Let p = -0.02 + 0.15. Let n = p + -5.13. Let r = n - -8. Is r >= 2/7? True Let t = 5 - 0. Is t <= 13/3? False Let r be 5/198*3*27. Let m = 6/11 - r. Which is greater: m or -2? m Suppose 2*h + 12 = -c - 3*h, 4*h = -c - 7. Let g = c + -9. Let t = 15 + -11. Is g at least as big as t? True Let z(n) = -4*n - 28. Let x be z(-7). Is -1/43 < x? True Let q = 0.2 + -1.2. Which is bigger: q or -0.4? -0.4 Let p be (0 + 5)/((-3)/6). Let d = -21/2 - p. Let s = -2/67 + 73/201. Is s less than d? False Let w be (2275/(-126))/(-25) + (-1)/2. Let i = 2 + -1. Is i > w? True Let l(k) = k - 1. Let i be l(0). Let p = 11 - 4. Is i greater than or equal to p? False Let t = 0.4 + -3.4. Let w = -16 + 17. Does w = t? False Let g = -0.9 + 3.9. Are 2 and g equal? False Let v be (-4)/12 + 14/6. Let q = -3 + 3. Let u be (v + q)*(-2)/(-2). Is -1 smaller than u? True Let c = -0.08 - -0.78. Let l = c + 0.3. Is 1 > l? False Let a be (-34)/(-66) + 30/(-165). Which is smaller: a or 0? 0 Let f be 2/(-4)*148/(-6). Let h = f - 12. Let q be 11/(-22)*(-2 + 2). Is h greater than q? True Let n(j) = j**2 - 6*j - 3. Let g = -16 + 22. Let d be n(g). Let t be -3 - -1 - 12/d. Which is bigger: 0 or t? t Let g = -1.6 - -1.7. Is -10 less than or equal to g? True Let k(o) be the first derivative of o**2/2 + 11*o + 1. Let u be k(-9). Suppose 3*a + 8 = 3*m + u, 8 = 3*a + 4*m. Do a and -2/7 have the same value? False Let n(r) = r - 8. Let u be n(10). Let d be u/10 - 168/(-160). Are d and 1 non-equal? True Let n be (-1723930)/(-578326) - (1 - -2). Let v = 2/2863 - n. Let j = v - 212/505. Which is bigger: j or 1? 1 Let x = 14 + -9. Let o be ((-14)/(-35))/(2/x). Is o equal to 2/15? False Let a = -221/3 + 75. Let k = -7 + 7. Which is greater: k or a? a Suppose 18*f = 5*f. Is f less than or equal to 1/30? True Let y = 9 + -18. Let b = 13 + y. Do b and 0 have the same value? False Let n(z) = -z**2 + 6*z - 3. Let f be n(6). Let c be (-2)/(-3)*f/5. Let x = 0.9 + 0.1. Which is smaller: c or x? c Let b be -6 + (-56)/(-10) - (-112)/5. Is 21 less than or equal to b? True Let f(d) be the first derivative of -d**3/3 + d**2 + 6*d + 4. Let s be f(0). Do s and 2 have different values? True Let q(o) = 2*o + 16. Let a be q(0). Is a less than 15? False Suppose -3*z - 4*y - 4 = -z, z - 3*y = 23. Suppose 2*c + z = -2*c. Is c at most -6/11? True Suppose -2*c + 1 = -9. Suppose 2*v - 1 = 7. Let z = v - c. Which is smaller: z or 0? z Let c = -5.1 + 5. Let v = 0.3 + c. Let u = v - 0.3. Are u and 1 unequal? True Let g = -14 - -22. Suppose -5*u - 16 = 4*y - 0, -2*y = g. Is 2/35 > u? True Suppose 20 = z + 5*q, -2*q = -z + 2*q - 7. Suppose 5*p + 40 = -3*a + 7*a, z*p = -4*a. Which is smaller: p or -3? p Suppose -2*k + c = -7, -4*k + 3*k + c + 4 = 0. Suppose -q - 2 - 3 = k*o, -o = 2*q - 15. Is q bigger than 10? False Let b = 0 - 3. Let u = -3.2 - b. Are u and 1 unequal? True Let s = 97 - 871/9. Let z = 92 - 90. Is z not equal to s? True Let h(a) = -a**2 + 5*a + 6. Let x be h(6). Let p be ((-5)/2)/((-2 - -4)/(-4)). Suppose p*l - 4*z = -12, x = l - 2*l - z + 3. Is l at least as big as -8/7? True Suppose 6 = 3*m - 3. Is 3 less than m? False Let q be 56/12 - (-3)/9. Suppose -3*t = q*u - 2*t, -1 = -4*u - t. Is 0 at least u? True Suppose -3*i = -i - 6. Let w be (i/(-33))/(3 + -2). Is w <= 0? True Suppose -4*l = -2*s - 2, 2*l = -3*s - 3 + 16. Is s greater than -1/4? True Let f = 2 + 0. Let v = 17.3 + -17.3. Is v less than f? True Let a = -2127/19 + 112. Which is bigger: a or -1? a Let d(b) = b**2 - 7*b + 3. Let w be d(3). Let a be w*((-13)/(-4) - 3). Which is greater: -1 or a? -1 Suppose 0 = -0*a + 2*a - 6. Suppose -f = 0, -a*v - 3 = -2*f - 2*f. Is v less than or equal to 3/7? True Suppose -3*w = r + 428, -4*w - 574 = 3*r - r. Is -141 > w? False Let c = 28 - 57. Is -1 less than c? False Suppose 3*r + r + 21 = -5*q, 0 = 3*q + r + 14. Let x = q - -10. Which is smaller: 3 or x? 3 Suppose -4*q = -2*q. Let f be ((-663)/(-2) + 3)/(-78). Let u = f - -72/13. Is u bigger than q? True Let s = 25 - 21.3. Is s at least as big as 1? True Let r(s) = s**3 - 7*s**2 + 5*s + 7. Let l be r(6). Let w be (-4 + 4)*(-2 + l). Which is smaller: w or -1? -1 Let a be 2 - -2*(-3)/6. Suppose -t = 4*t + 3*g - 23, 0 = -g + 1. Let v = t - 4. Which is bigger: v or a? a Let g be ((-12)/(-312))/(1/12). Is -0.08 at least g? False Suppose -4*n - 40 = -4*v, 42 = 4*v - n + 5. Let q be (-4*v/(-24))/(-2). Which is smaller: q or -1? -1 Let d be (11 + -10)/(6/4). Which is smaller: d or 0? 0 Suppose -2*r + 0 = -10. Suppose r*u + 9 = 2*u. Let q be (-5)/u + -2 - -1. Which is bigger: 0 or q? q Suppose -4*n = n + 4*k + 25, 3*k + 3 = -2
{ "pile_set_name": "DM Mathematics" }
Convert 10001101000 (base 2) to base 14. 5a8 Convert d5a (base 16) to base 12. 1b8a -113210 (base 4) to base 5 -22013 -51213 (base 8) to base 7 -115415 Convert 3223 (base 5) to base 16. 1b6 Convert -2201 (base 6) to base 14. -281 What is 47 (base 11) in base 14? 39 Convert 1401 (base 13) to base 8. 5472 8bb (base 14) to base 3 2101012 1a02 (base 15) to base 12 330b Convert -343 (base 11) to base 6. -1522 -30312 (base 5) to base 14 -9db What is 30193 (base 10) in base 14? b009 -1d53 (base 15) to base 7 -24411 What is 7543 (base 9) in base 16? 15ab Convert 2177 (base 13) to base 12. 2845 What is -20130 (base 4) in base 15? -260 Convert -4b9 (base 12) to base 9. -876 What is 3b03 (base 13) in base 2? 10000100000101 Convert -204 (base 15) to base 7. -1216 Convert 866 (base 10) to base 13. 518 Convert -130253 (base 6) to base 5. -334034 2b1a2 (base 12) to base 11 41704 -100010100001101 (base 2) to base 7 -102352 12023 (base 5) to base 3 1012220 3213 (base 9) to base 7 6612 11001101111001 (base 2) to base 3 200002001 Convert 1109 (base 13) to base 11. 186a Convert -2340 (base 6) to base 3. -202220 165 (base 8) to base 2 1110101 Convert -25d (base 15) to base 8. -1032 672 (base 8) to base 11 372 Convert -123332 (base 5) to base 8. -11352 Convert -5058 (base 13) to base 14. -405c -290 (base 10) to base 6 -1202 Convert 1201220 (base 3) to base 2. 10011110010 Convert -111020 (base 3) to base 5. -2412 Convert 36801 (base 11) to base 13. 1b0b7 What is -277 (base 13) in base 3? -121011 Convert 16bc (base 14) to base 15. 1326 3333 (base 7) to base 9 1573 Convert -33404 (base 5) to base 7. -6602 245043 (base 7) to base 6 544100 Convert 11145 (base 15) to base 3. 2202110202 Convert 222112 (base 3) to base 12. 4b8 Convert -1122321 (base 4) to base 11. -4409 Convert -65543 (base 7) to base 10. -16397 Convert 3123 (base 4) to base 3. 22010 Convert -3324 (base 5) to base 4. -13100 Convert 14642 (base 8) to base 7. 25063 -14001 (base 6) to base 11 -1695 -153 (base 15) to base 13 -1a4 What is 26a (base 16) in base 6? 2510 What is 1012121 (base 3) in base 10? 880 What is 1369 (base 10) in base 8? 2531 What is 644 (base 14) in base 11? a24 Convert -1201110 (base 3) to base 7. -3441 -5663 (base 13) to base 14 -458c Convert -14430 (base 10) to base 6. -150450 Convert 1102102 (base 3) to base 16. 40d -20210 (base 4) to base 14 -2b2 Convert -1265 (base 7) to base 5. -3423 What is -66553 (base 7) in base 8? -40553 -1031 (base 16) to base 5 -113040 Convert 4933 (base 10) to base 11. 3785 -9819 (base 11) to base 8 -31247 What is -38136 (base 11) in base 2? -1101010111001011 1722 (base 8) to base 4 33102 Convert -1414 (base 8) to base 10. -780 What is -14744 (base 11) in base 10? -20860 -8a6 (base 13) to base 15 -693 -276 (base 11) to base 15 -16a What is 5071 (base 10) in base 13? 2401 Convert -8044 (base 9) to base 10. -5872 Convert -c7 (base 15) to base 16. -bb 625 (base 12) to base 11 742 What is 26ca (base 15) in base 2? 10000001100010 Convert 750b (base 15) to base 5. 1243021 Convert -1062 (base 11) to base 4. -111313 Convert 12311 (base 4) to base 9. 535 What is -11101202 (base 3) in base 9? -4352 What is -5b1 (base 15) in base 12? -8b7 1648 (base 11) to base 4 200331 What is -71 (base 13) in base 6? -232 8657 (base 15) to base 6 335344 -3330 (base 5) to base 2 -111010001 -552b (base 14) to base 10 -14739 Convert 411 (base 9) to base 14. 19c -100011001110 (base 2) to base 16 -8ce 131011 (base 8) to base 3 2022112001 Convert -100323102 (base 4) to base 2. -10000111011010010 What is 2070 (base 8) in base 12? 760 What is -a0a2 (base 13) in base 6? -250154 What is 3442 (base 10) in base 14? 137c Convert -1001010000 (base 2) to base 16. -250 111001011 (base 2) to base 10 459 -11110011111000 (base 2) to base 15 -4958 -894 (base 12) to base 11 -a4a 1111011 (base 3) to base 15 4c4 Convert 7746 (base 9) to base 15. 1a5c What is 10111000111 (base 2) in base 7? 4212 What is -10100031 (base 4) in base 3? -212220020 -11100021 (base 3) to base 15 -e11 Convert 101121 (base 3) to base 7. 556 -1010 (base 10) to base 8 -1762 114cd (base 14) to base 13 16235 What is -15c8 (base 13) in base 4? -302012 134540 (base 6) to base 14 48d6 What is 1001000010000011 (base 2) in base 7? 212600 What is -110110111001 (base 2) in base 14? -13cd a3b (base 14) to base 8 3735 Convert -21001322 (base 4) to base 10. -36986 What is -11011033 (base 4) in base 16? -514f Convert -41b (base 12) to base 9. -735 Convert 32302 (base 4) to base 16. 3b2 What is 3c30 (base 13) in base 11? 6561 Convert -2331 (base 10) to base 11. -182a What is -102222 (base 3) in base 6? -1255 1011000011100101 (base 2) to base 6 545353 Convert 1116 (base 7) to base 16. 195 113013 (base 4) to base 14 779 Convert -2121212 (base 3) to base 12. -1135 1101000000000 (base 2) to base 13 3050 What is -1011110100101 (base 2) in base 8? -13645 Convert -101000101001 (base 2) to base 12. -1609 What is 10aa (base 14) in base 2? 101101001110 Convert 937 (base 11) to base 9. 1484 -1012 (base 6) to base 8 -340 What is 120111020 (base 3) in base 16? 2c1c -1596 (base 12) to base 5 -40222 Convert 71c (base 14) to base 10. 1398 -120 (base 9) to base 2 -1100011 -14408 (base 9) to base 5 -303214 Convert -18a97 (base 14) to base 9. -104611 What is b9b (base 14) in base 3? 10010221 What is 126a8 (base 12) in base 8? 61140 -23 (base 15) to base 14 -25 423 (base 15) to base 16 3a5 Convert 110100211 (base 3) to base 6. 105421 -340 (base 5) to base 9 -115 14a94 (base 11) to base 7 116015 What is -5356 (base 8) in base 2? -101011101110 What is 31013321 (base 4) in base 9? 81655 What is -1dc9 (base 14) in base 7? -21642 831 (base 11) to base 13 5c1 What is -2717 (base 13) in base 15? -19d2 What is 34442 (base 9) in base 11? 16284 -1d4 (base 16) to base 4 -13110 10837 (base 9) to base 13 33b2 -349 (base 15) to base 3 -1000120 1a16 (base 14) to base 13 21c5 957 (base 10) to base 12 679 Convert 1b3a3 (base 12) to base 8. 116553 -1531 (base 9) to base 15 -527 Convert 212 (base 11) to base 9. 313 761 (base 9) to base 2 1001101110 What is 383 (base 15) in base 3? 1002120 What is 1cd9 (base 16) in base 13? 3491 What is 10403 (base 5) in base 2? 1011011000 What is 1246 (base 8) in base 9? 833 Convert 10001001010110 (base 2) to base 5. 240130 Convert 3033 (base 9) to base 7. 6315 Convert -4ca (base 14) to base 12. -682 What is f18d (base 16) in base 4? 33012031 What is -2112122 (base 4) in base 5? -302001 -1323133 (base 4) to base 15 -251d Convert 678 (base 10) to base 16. 2a6 Convert -2dd8 (base 14) to base 6. -102030 What is -3e8 (base 16) in base 13? -5bc What is 170a (base 13) in base 3? 11122120 -10 (base 6) to base 2 -110 -575 (base 10) to base 8 -1077 Convert -15a (base 12) to base 10. -214 2032 (base 6) to base 4 13010 Convert -31233 (base 6) to base 5. -113242 What is 13a (base 12) in base 11? 163 10011121201 (base 3) to base 10 62416 What is 182 (base 14) in base 10? 310 Convert 10467 (base 9) to base 16. 1b22 Convert -1132320 (base 4) to base 16. -17b8 What is 24221 (base 5) in base 11? 13a7 What is -5461 (base 10) in base 14? -1dc1 Convert -2500 (base 8) to base 16. -540 What is 2101 (base 4) in base 16? 91 What is -26 (base 9) in base 7? -33 Convert 110020 (base 4) to base 9. 1681 441 (base 6) to base 7 331 What is -2a1a6 (base 11) in base 12? -20951 Convert 100101 (base 3) to base 9. 311 Convert 201022 (base 3) to base 14. 293 Convert -101111001101000 (base 2) to base 5. -1233133 What is -8681 (base 10) in base 12? -5035 What is 710 (base 10) in base 11? 596 Convert -74 (base 16) to base 15. -7b -55500 (base 6) to base 15 -2460 Convert 341 (base 9) to base 6. 1144 -2510 (base 8) to base 10 -1352 -202122 (base 3) to base 6 -2325 111111010 (base 3) to base 7 40443 -12023 (base 10) to base 12 -6b5b a71 (base 12) to base 11 1167 -14231 (base 7) to base 12 -2305 What is 2242232 (base 5) in base 2? 1001110101111101 What is -b3 (base 13) in base 3? -12102 55461 (base 7) to base 2 11011010000111 Convert 102021021 (base 3) to base 11. 6199 Convert 10022002 (base 3) to base 9. 3262 Convert 134 (base 12) to base 10. 184 Convert -141353 (base 8) to base 11. -34543 Convert 42a7 (base 16) to base 9. 25358 -1338 (base 11) to base 9 -2337 3015 (base 15) to base 7 41402
{ "pile_set_name": "DM Mathematics" }
. Calculate the highest common factor of 217 and a. 31 Suppose 5 = 3*m + 5*o, m - 2 - 1 = -o. Let s = 5 + -8. Let r = m + s. Calculate the highest common divisor of 4 and r. 2 Let o be ((-17)/2 + -2)*-2. Suppose -o = 4*r - 105. Let v be (r/9)/((-1)/(-3)). What is the greatest common factor of 49 and v? 7 Let y(r) = r - 2. Let k be y(4). What is the highest common divisor of 22 and k? 2 Suppose 7*k - 85 = 6*k. Suppose 5*h = -9 + 94. Calculate the greatest common divisor of h and k. 17 Let q be -4 + (-10)/(6/(-3)). Calculate the greatest common factor of 11 and q. 1 Let k be ((-4)/3)/((-28)/126). What is the greatest common factor of 4 and k? 2 Let x(g) = 8*g + 17. Let s(k) = -2*k - 4. Let t(n) = -9*s(n) - 2*x(n). Let i be t(5). Calculate the highest common factor of 24 and i. 12 Let n be 0/(1 - 3) + 10. Let s = -91 - -146. Let v = s - n. Calculate the highest common factor of 30 and v. 15 Let o(k) = -2*k. Let g be o(-6). Let b = 70 + -10. What is the greatest common divisor of g and b? 12 Let n = 16 + -3. What is the greatest common factor of 39 and n? 13 Let l be -2 + ((-26)/(-2) - 1). Let m be (16/10)/(l/125). What is the highest common divisor of m and 80? 20 Let k = 10 - 7. Suppose o - 5 = -13. Let y be (o/(-24))/(1/k). What is the greatest common divisor of 3 and y? 1 Let a be ((0 - -1) + -1)/(-2). Let r be -2 - (-2 + a - 28). Let o(x) = -x**2 - 6*x - 1. Let u be o(-5). What is the greatest common factor of u and r? 4 Let i be 818/6 - (-25)/(-75). What is the greatest common factor of i and 34? 34 Let i(k) = k**3 + 4*k**2 + 2*k + 2. Let s be i(-3). Suppose -x + 21 = -21. Let r = x + -27. What is the greatest common divisor of r and s? 5 Suppose 3 = -3*j - 3. Let w = 40 + j. Calculate the highest common divisor of w and 19. 19 Suppose -29 = -3*n + 2*k, 5*n - 6*k + 3*k = 50. Suppose 3*l - 7 = 32. Calculate the greatest common divisor of l and n. 13 Suppose 3*a - 170 = 4*z + 414, 2*a - 3*z - 388 = 0. Let h = a + -140. Suppose -h = -3*i - 2*i. What is the highest common factor of 8 and i? 4 Suppose -2 = 2*s + 18. Let z be (36/s)/((-2)/15). Let k be 1 + z/3 - 2. What is the highest common divisor of k and 72? 8 Let l(y) = -y**2 - 7*y + 11. Let o be l(-8). Suppose -7*c = -o*c - 28. Calculate the highest common factor of 7 and c. 7 Let q(o) = 3*o**3 - o**2 + 2*o - 2. Let l = 5 - 3. Let c be q(l). What is the highest common factor of 33 and c? 11 Suppose -7 = -3*s - 4. Let o(q) = 6*q**2 + q. Let t be o(1). Suppose 3*p + 9 = 3, -h = -3*p - t. What is the highest common factor of s and h? 1 Let s = 24 - 22. Calculate the greatest common factor of s and 2. 2 Suppose 3*l + s = 189, -3*s = 5*l - 240 - 75. Let a(v) = 8*v - 1. Let o be a(2). Suppose -2*k + o = -3. What is the greatest common divisor of l and k? 9 Let o(k) = k + 2. Let s be o(4). Calculate the greatest common factor of 22 and s. 2 Let q(z) = z**3 + 4*z**2 - 6*z - 5. Let v be -4*(-2 + (-13)/(-4)). Let o be q(v). Suppose o*p - 1 = -p. What is the highest common factor of 7 and p? 1 Let p = -3 - -1. Let n be 26/6 + p/(-3). Let w = n + 1. What is the greatest common factor of 66 and w? 6 Let l(d) be the first derivative of d**3/3 + 2*d**2 + 3*d + 2. Let x be l(-3). Suppose -4*a + 44 = -x*a. What is the greatest common divisor of a and 44? 11 Suppose -q + 290 = 4*q. What is the greatest common factor of 29 and q? 29 Let v = -222 + 159. Let c be (v/5)/((-11)/55). Calculate the highest common factor of 7 and c. 7 Let d(r) = 0 + r + 2*r - 5 - r. Let z be d(7). What is the highest common factor of z and 36? 9 Let l = -12 - -7. Let p(c) = -5*c - 5. Let w be p(l). What is the highest common divisor of w and 4? 4 Let i(s) = 3*s - 41. Let c be i(19). Let z = 0 - 6. Let v(o) = -o**3 - 7*o**2 - 8*o - 8. Let u be v(z). What is the greatest common factor of u and c? 4 Let n = 30 + -42. Let y = n - -21. What is the highest common factor of 27 and y? 9 Suppose 4*m + 28 = 2*d, m + 0*m - 56 = -3*d. Let z(t) = 4*t - 2 + 3*t**2 - 1 - t**2. Let b be z(4). Calculate the greatest common factor of b and d. 9 Suppose 2*o - 7*o + 11 = 3*v, -3*o - v = -9. Let l = 6 - o. Let i = -56 + 64. What is the greatest common factor of i and l? 2 Let d(f) = -f**3 + 2*f**2 + f - 1. Let y be d(2). Suppose 3*q + 3 = -0*q. Let o be (4/y + q)/1. What is the highest common divisor of o and 3? 3 Let j = 45 - 29. Calculate the highest common factor of j and 48. 16 Let q = 81 - -72. Calculate the greatest common factor of q and 17. 17 Let c be ((-38)/95)/(1/(-15)). Calculate the highest common divisor of 15 and c. 3 Suppose 5*t - 3*t = 0. Suppose t = 5*m - 46 - 39. Calculate the greatest common factor of 119 and m. 17 Let g(d) = -d**3 + 5*d**2 + 10*d - 7. Let j be g(6). Suppose 6*i - 10 = 8*i. Let w be 5/(i/(-36)) - 2. What is the greatest common factor of w and j? 17 Let r(q) = q**3 + 10*q**2 - 10*q - 1. Let c be r(-10). Calculate the greatest common factor of c and 11. 11 Let q = 24 - 4. What is the greatest common factor of q and 60? 20 Suppose 9*c - 64 = 7*c. What is the greatest common factor of c and 32? 32 Let y = -6 + 11. Suppose 5*o + 4*t - 1248 = 188, 3*t = 5*o - 1408. Suppose -y*q + o = 34. What is the greatest common divisor of 10 and q? 10 Suppose 0 = -k - 0 + 3. Suppose 0 = u - k*u + 50. What is the greatest common factor of u and 225? 25 Let c be -1*(0 + 4/2). Let t = 14 + c. Let g be -7*(-1 - (-159)/(-21)). Calculate the highest common divisor of g and t. 12 Suppose 0 = -4*v + 249 - 73. What is the greatest common factor of v and 4? 4 Suppose -3*o + 0*z + 4*z = -139, -4*o = 4*z - 176. Calculate the highest common factor of 75 and o. 15 Let p be 4/(-32) - 291/(-24). Let a(i) = -i**3 - 2*i**2 - 3*i - 6. Let s be a(-5). Calculate the highest common divisor of s and p. 12 Let d be (20/12)/(2/6). Suppose -5*r = -0 + d, 101 = 3*l - 5*r. What is the highest common divisor of 80 and l? 16 Let r be ((-8)/(-6))/(2/24). What is the highest common divisor of r and 8? 8 Let w be (-4)/(-6) + (-408)/(-9). What is the greatest common factor of 115 and w? 23 Let q be -1*(-3)/(9/39). What is the highest common divisor of 13 and q? 13 Suppose 4*u - 15 = 5*v, 0 = -2*u + 8*v - 4*v. Calculate the greatest common factor of 10 and u. 10 Suppose -l + q = -28, -4*l = -5*q - 181 + 68. Let a(g) = -3*g**2 + g + 2. Let d be a(2). Let k = 17 + d. What is the greatest common divisor of l and k? 9 Let p(d) = 2*d**3 - 6*d**2 - d + 9. Let t be p(4). What is the greatest common divisor of t and 37? 37 Suppose -5*q + 28 = 8. Suppose -3*k - 5 = -2*p, 2*k = q*p - 3 - 3. Let x be (48/(-10))/(-3)*5. What is the highest common divisor of p and x? 1 Let z be (2 + (-1 - 0))/((-2)/(-46)). What is the greatest common factor of z and 46? 23 Let t = -43 - -75. Suppose v = -v + t. Let r = v + -9. Calculate the highest common divisor of 77 and r. 7 Let s be 33*1*((-64)/(-12))/8. Calculate the highest common divisor of 66 and s. 22 Let c(w) = 3*w**2 + w - 2. Let t = -14 + 10. Let z be c(t). What is the highest common factor of 6 and z? 6 Let x(b) = b**2 + 7*b + 13. Let y be x(-5). What is the highest common factor of y and 21? 3 Let j(z) = 34*z + 3. Let o be j(3). Suppose 0 = 3*g + 16 + 98. Let q = g - -53. What is the greatest common factor of o and q? 15 Let f = -1 + 13. What is the highest common factor of f and 60? 12 Let b be 4/(-38) - (-1659)/57. What is the greatest common factor of 87 and b? 29 Suppose -12 = -3*y + 69. What is the highest common factor of y and 18? 9 Let k be 9/4 + (-3)/12. Let d be k/3 + (-97)/(-3). Let s = -1 + 4. What is the highest common factor of s and d? 3 Suppose -o - 2*x = -0*x + 18, 58 = -5*o - 2*x. Let w = o - -13. What is the greatest common divisor of 2 and w? 1 Let v = -120 + 129. What is the highest common divisor of 72 and v? 9 Suppose 0 = 2*p + 3*s + 7, 4*p + p - 5*s - 20 = 0. Let x = 35 - 6. Suppose -3*z + 4 = -x. What is the highest common divisor of z and p? 1 Let w be 377 - (2 - 3) - 4. What is the greatest common factor of 34 and w? 34 Let h be 12*(-2 + 3) + 4. What is the highest common divisor of 4 and h? 4 Suppose -4*q = -70 - 154. What is the highest common divisor of q and 7? 7 Suppose 2*o + o = 0. Let m(y) = -y + 5. Let a be m(o). Let p = a + 3. Calculate the greatest common factor of p and 4. 4 Let t(x) = 8*x - 68
{ "pile_set_name": "DM Mathematics" }
. -5/11 Evaluate ((-2766)/(-1844))/(((-3)/20)/(7/(56/36))). -45 (8/3)/(((-98)/((-4116)/(-63)))/((-342)/8)) 76 Evaluate 12198/(-57)*((-6)/4)/(171/57). 107 What is ((-81)/(-60)*1)/(((-2415)/(-92))/35)? 9/5 Calculate (-2187)/(-162)*(12/(-10))/((-297)/1430). 78 Calculate (4/(4428/3)*15)/(240/576). 4/41 What is 2/(-32)*1376/946? -1/11 Calculate (-4865)/(-172221)*12/10. 2/59 Evaluate (-1)/(-3)*((-3330)/518)/((-20)/8). 6/7 What is ((-14)/2310*66)/(2*(-2)/380)? 38 Evaluate 5/((-45)/12)*125*31/31000. -1/6 What is 22/(-231)*2058/42*162/(-7)? 108 What is (-50)/20320*(-10816)/1690? 2/127 Evaluate -3*((-28)/336*12)/1. 3 Calculate (62*48/15624*(-15)/10)/(5/(-28)). 8/5 What is the value of ((-247)/(107939/(-190)))/(-2)? -5/23 What is ((-280)/(-700))/((-48)/5)? -1/24 Calculate (19/114)/((-35)/(-1330)). 19/3 What is the value of ((-1296)/6120*-17)/132? 3/110 What is (51*(-56)/(-434112))/((-26)/208)? -1/19 (-50)/(-10)*36/(-15)*182/104 -21 Evaluate (-30)/24*(108/10)/9*(-6)/3. 3 Calculate 8/32*(98820/(-15))/27. -61 (-10)/15*10*3 -20 Calculate (39/(-30))/13*2992/34*(-5)/(-1). -44 What is (82/(-369))/((-252)/39690)? 35 Calculate (140/(-35))/(216/(-42)). 7/9 5/(27*58/34452) 110 ((12/2250*5)/(12/(-36)))/(322/345) -3/35 Evaluate ((-24)/(-10))/(((-16)/4680)/((-243)/(-1458))). -117 What is ((-30)/63*79/((-6715)/(-238)))/((-236)/(-9))? -3/59 Evaluate (((-187272)/(-720))/(-153))/(3*1/(-5)). 17/6 Calculate (-3*1360/714)/(10/(-84)). 48 What is ((-6)/(-32))/((-3306)/(-511328))? 29 Calculate ((-8)/6)/(4*(-53)/(477/18)). 1/6 Calculate (3/5*287000/21525)/((-26)/1). -4/13 Calculate ((61019/(-63672))/(2/20))/((-6)/24). 115/3 0*(-175)/41300*1/1 0 Calculate ((-17538185)/(-65380))/(777/12). 29/7 What is (4/(-11))/((-302700)/199782)? 6/25 Calculate (((-143)/(-13))/(-44))/((-31)/(-1364)). -11 What is the value of 1/30*(31590/(-156))/(-135)? 1/20 What is 63*38*(-34)/(-2261)? 36 Evaluate (-8712)/(-2178)*30/(-4). -30 (-20)/(-1)*(-608)/(-3230)*-17 -64 What is (((-1492)/23499)/(30/(-28)))/(4/5)? 2/27 1/((-21)/(-20))*-910*(-129)/125775 8/9 (1975/((-4266)/(-54)))/15 5/3 What is ((-9)/(-14)*(-10290)/(-4410))/((-26)/(-4))? 3/13 Calculate (63/315)/((-396)/(-180)). 1/11 Calculate (-18*3/180)/((-56)/(-80)). -3/7 What is 13*(-62)/4030*(-175)/(-28)*(-6)/15? 1/2 Calculate (-100800)/(-8400)*(-21)/(-9). 28 What is the value of (814380/(-27146))/((6/(-5))/3)? 75 Calculate (-38)/(((-12)/10)/((-378)/(-210))). 57 (-14*(-5)/(-100))/(765/(-850)*6/(-9)) -7/6 What is the value of (((-8)/(-2))/(-16))/(176/((-335104)/2499))? 4/21 What is ((-33)/(7722/39))/(38/(-18))? 3/38 Calculate 3621/(-497)*24/136*(-4)/(-3). -12/7 What is the value of (133/(-494)*-39)/(-651)? -1/62 Evaluate -2*(-1)/((-75)/(-45))*(-75)/35. -18/7 Calculate (100/(-8))/(-5)*(-43004)/4135. -26 Calculate (((-8)/(-44))/((-140)/(-385)))/(7/448*-4). -8 What is the value of ((-456)/(-3420)*6/(-4))/((-2)/(8/(-2)))? -2/5 What is ((-180)/300)/((-657)/7300)? 20/3 Evaluate ((-6)/(-42))/(-16*(-48)/(-3360)). -5/8 Calculate (13/((-78)/4)*6/(-95))/((-20)/250). -10/19 (33462/231)/39*(-3)/2 -39/7 What is the value of 14570/(-30)*14670/(-50530)? 141 What is (((-132)/10)/6)/(-32*30/(-4800))? -11 Calculate (-51)/3*((-6)/2)/((2475/50)/33). 34 What is 1196/(-13)*124/2480? -23/5 What is the value of -3*(-2773)/(-295)*2/6*-1*5? 47 What is the value of ((102/9044)/(288/224))/(3*4/54)? 3/76 Calculate (100*101/999900)/(((-70)/(-12))/(-7)). -2/165 What is the value of (8/(-18))/((-264)/594)? 1 Evaluate (-84)/(-10)*((-3)/(-3))/(469/2010). 36 What is ((-4)/74)/((-202)/((-530654)/(-2911)))? 2/41 What is (-3)/(138/((-37812)/1781))? 6/13 Evaluate ((-8)/((-11040)/70))/(364/(-156)). -1/46 Evaluate 11/(-22)*155386/(-1009). 77 What is ((-1100)/(-240))/11*1/(75/510)? 17/6 Calculate (2/(-2))/((486/(-189))/(-18)). -7 What is (-101)/(17978/2581)*20/(-145)? 2 What is the value of ((-4)/(-2)*(-1266)/(-2532))/((-2)/(-8)*14)? 2/7 What is the value of (-20)/((-10)/2)*-13*(-33)/(-88)*2? -39 ((9152/(-3432))/(154/15))/((-7)/(245/(-10))) -10/11 What is the value of (156/10)/((144/(-840))/(6/(-14)))? 39 Evaluate (470/423)/(-10)*5. -5/9 What is -6*60/(-12)*(-198)/(-135)? 44 What is the value of ((2469/(-3292))/(-1*(-35)/(-40)))/(1/98)? 84 (5/105)/(71/((-26838)/(-81))) 2/9 Calculate (2/(-3)*-14)/(556/(-834)). -14 What is (3*8)/3*(-4)/10*21480/(-1074)? 64 What is (4/(-6))/((12320/120)/11)*63/(-6)? 3/4 Calculate ((-519)/13494)/((-4)/4472). 43 (((-60)/63)/(-10))/(-7*(-52)/(-2548)) -2/3 What is (-3)/(-10)*-6*16/(-90)*(-12)/48? -2/25 Evaluate 36/332*41/(9594/52). 2/83 What is ((-152)/(-228))/((-6)/((-504)/6))? 28/3 2/(-5)*(-33030)/202584 3/46 (-102)/1088*(-368)/138*(-404)/1 -101 What is -10*2/(-15300)*18? 2/85 785/471*(-54)/10*(-9)/(-3) -27 (1*(-84)/10)/((-916)/(-4580))*-1 42 Evaluate (((-60)/102)/(-10))/((-926)/(-857939)). 109/2 Evaluate (16/10)/((66/77)/((-520)/182)). -16/3 Evaluate (-1)/((-72)/180*(-3)/(390/(-25))). 13 What is (-39*(-40)/(-510))/((-45)/(22950/60))? 26 What is ((-14)/24*716/1253)/(3/1296)? -144 What is the value of (-52)/(-5)*2016000/291200? 72 (122/(-366))/(3/153) -17 Calculate ((8/28)/(6/(-14)))/((162400/126)/100). -3/58 Calculate (-55)/(3300/1968)*(-40)/(-64). -41/2 Calculate ((-33)/1584*20)/((-2)/36)*88/(-110). -6 What is the value of (((-2)/(-2))/(35/290*-1))/(269/(-1883))? 58 Calculate 5*-1*13/((-195)/3)*23. 23 What is the value of ((-20)/(-18))/(-1)*(-2898)/120750? 2/75 -11*7/(-616)*((-1400)/250)/(28/(-120)) 3 Evaluate ((-50)/(-15)*(-2)/10)/(10/(-45)*-9). -1/3 What is the value of 5/(-12*22/1056)? -20 What is the value of (39/130)/(13/((-715)/33))? -1/2 30*3/(-4)*(-11)/(-9)*(-46290)/16973 75 What is (3496/95)/(-1*98/245)? -92 Calculate 7*(-270)/504*(-1344)/140. 36 (22533/(-232))/111*96/(-210) 2/5 (24/(-16))/((2/115)/(144/(-270))) 46 Calculate (6/(-130))/((6/14)/(4*(-1560)/(-1456))). -6/13 (-608)/(-60)*14910/(-1988) -76 Calculate (70/(-40))/(440/160)*2/7. -2/11 What is (-118)/((-12*4/72)/(18/27))? 118 Evaluate (36/75*-1)/(376/(-4700)). 6 Evaluate (8/((-768)/(-8))*64/(-48))/((-54)/(-81)). -1/6 Evaluate (-37)/(2405/(-50))*(-195)/3*-1. 50 What is the value of (((-4840)/(-88))/55)/49? 1/49 (6/(-144)*-30)/(-1*30595/(-232)) 2/211 Evaluate ((-1036)/36)/37*162/(-9). 14 Evaluate (-156)/(-585)*(-10)/3*12141/6745. -8/5 What is the value of (12/3*1)/(((-968)/(-55))/88)? 20 What is ((-2)/5)/((36114/4630)/((-1)/(3/(-9))))? -2/13 What is (((-198)/24)/((-87)/(-232)))/(-3*5/30)? 44 ((-30131)/(-2078))/((-2)/24*2) -87 Evaluate 156/(-182)*(35/20)/((-15)/40). 4 Calculate 192/(-352)*85/51*24/5. -48/11 (((-66)/(-165))/((-3)/10))/(364/(-5733)) 21 What is (11*36/(-924))/(5/(75/(-18)))? 5/14 What is ((-44)/(-99))/(4/(-18))*1292/68? -38 What is (87/377)/((-120843)/(-12038))? 2/87 Calculate (24/(-10))/((14/280)/((-7)/168)). 2 Evaluate ((312/12)/(-52))/(3*(-95)/120). 4/19 ((-33)/((-1089)/22)*-5)/(5/105) -70 What is the value of 30/15*136/340*4*45/12? 12 What is (4/12)/((-2)/2*(-171)/(-14877))? -29 Calculate 6/(-60)*28/(-63). 2/45 Calculate (88/(-264))/((-3)/((-405)/9)). -5 What is 65784/148014*2/(80/342)? 19/5 What is the value of (-54)/(-72)*(15/((-225)/(-120)))/(18/(-75))? -25 Evaluate 54/(-32)*7860/1965. -27/4 What is (((-20)/(-8))/((15/(-105))/(10/175)))/52? -1/52 (4/50)/1*156030/(-11888)*(-5)/6 7/8 Calculate (((-1)/(-2))/(-1))/(2493/154566). -31 (2*(-2)/92)/((-202)/(-404)) -2/23 Calculate 45/540*4*3*-16. -16 What is the value of (3/9*-2)/((-68952)/(-2028))? -1/51 ((-357)/(-7))/(51*59/(-2006)) -34 Calculate (((-1008)/(-231))/24)/(34/22)*493. 58 What is the value of ((-5)/(-9))/(147/((-630630)/(-550)))? 13/3 Calculate (24*(-2)/(-432))/1*(-27)/30. -1/10 Evaluate -2*4/(-40)*13805/(-502)*(-4)/(-1507). -2/137 What is the value of 32/(-1152)*60*177/5? -59 What is ((-6704)/(-1676))/((6/(-2))/(-3))? 4 Evaluate (((-1)/1)/((-355)/(-213)))/(36/3180). -53 What is the value of (-4*6/12)/((-34)/(-323))? -19 (3/((-6)/160))/(((-828)/3588)/(6/(-52))) -40 Evaluate ((-2)/(-318))/(((-1115)/(-5575))/((-6)/(-15))). 2/159 Evaluate ((10/(-8))/((-5)/20))/((-94520)/(-2224)). 2/17 What is the value of ((-22844)/(-79954))/((-6)/26*10/42)? -26/5 Evaluate (14/245*-7)/(((-16)/(-35))/8). -7 What is ((16/(-60))/((-14)/273))/((7/(-1))/(-140))? 104 347/(70788/(-136))*(-678)/(-4) -113 Calculate 105*(-11)/(-165)*(-4)/(-14). 2 (-5*48/
{ "pile_set_name": "DM Mathematics" }
k = -40 - -36.8. Let y = 4.2 + k. Let g = 0.1 + 0. Which is the third biggest value? (a) -3/2 (b) g (c) y a Let x = 0.19 + -0.19. Let l = 0.04 + 5.96. Let a = -10 + l. What is the biggest value in a, -2, x? x Let y = 10337/1128 - -1/376. Let o = y + -727/78. What is the second smallest value in 3, o, 5/3? 5/3 Let b = -0.179 - -73.179. Let i = b + -69. What is the biggest value in -0.09, 2/5, i? i Let b(z) = z**3 + 2*z**2 - z + 3. Let n be b(-3). What is the biggest value in n, -2, 0? 0 Suppose -10*g = 10 + 10. Which is the smallest value? (a) -8 (b) g (c) 13 a Let h = -49 - -145/3. Let x = 0.519 - 0.719. What is the third biggest value in h, -4, x, -0.1? h Let w = 258 - 257.5. Which is the biggest value? (a) -3 (b) w (c) -2/45 (d) -5 b Let c(j) = j**3 - 4*j**2 - 2*j - 1. Let s be c(4). Let a = -7 - s. What is the third biggest value in 2/3, a, 3? 2/3 Let m be 12 + 12194/(-1078) - (-3)/(-21). Let p = 36 - 39.2. Let k = 0.8 - p. What is the second smallest value in k, 1/4, m? m Let j = -302 + 1209/4. What is the smallest value in 3/4, -4, j, 5? -4 Let y be (-15)/(-39)*4/10. Which is the smallest value? (a) -1/7 (b) y (c) -1/5 c Let w = -0.072 - -4.072. What is the third biggest value in -4, -110, -2/3, w? -4 Let b = 67/45 + 1/90. What is the third smallest value in -0.5, 0.1, b? b Let c be (-2)/(-3)*(-6)/(-4). Let b be ((-18)/(-24))/(-1*10/(-8)). Let u be (-43)/9 - (-4)/(-18). What is the second smallest value in c, b, u? b Let m = 49 + -104. Let i = m + 57. Let z = 4.03 - 0.03. Which is the third biggest value? (a) z (b) -3/10 (c) i b Let a = 9 + -8.8. Let y = -8 - -10. Suppose 4*i + 1 = z, 3*i + y*i = -3*z - 14. What is the third smallest value in a, z, 0.4? 0.4 Let y be 70/4 + (431 - 448). Let m be (-26)/7 - (-2)/(-7). Which is the second biggest value? (a) -0.6 (b) y (c) m a Let l = 30.9084 + 0.0916. Which is the smallest value? (a) 2/17 (b) l (c) -1/6 c Suppose 0*f + 1 = f. Let h be (-209)/77 - f*-3. Which is the third smallest value? (a) 2/3 (b) h (c) 3/10 a Let s be 2 - (-3 - (-11)/(275/135)). What is the fourth biggest value in s, 6, 0.4, -0.3? s Let f = -61.2 + 60.8. Which is the second smallest value? (a) 0.04 (b) f (c) 0.1 (d) -0.3 d Let o = -14.7 + 14.5. Which is the fourth smallest value? (a) o (b) 0.3 (c) -0.3 (d) -40 b Let y = 854 - 853.98. What is the third biggest value in 3, -0.05, y, -2? -0.05 Let i = -1/10 + 3/5. Let w = -17146/45 - -1906/5. Let d = w - -2/45. Which is the biggest value? (a) 4 (b) d (c) i a Let m(r) = -r**2 + 37*r + 115. Let u be m(-3). What is the third smallest value in u, -6, 5? 5 Let r = -25 + 28. Suppose 5*w - 4*f + 362 = 0, 5*f + 335 = -8*w + r*w. Let d be 20/w - 6/(-7). What is the biggest value in 0, d, -1? d Let i = -9 + 14. Let v = -1.1 - -2.1. Which is the biggest value? (a) i (b) -0.3 (c) v a Suppose 0 = -g - 4*b - 419893, -g - 1679492 = 3*g - 4*b. Let x = g - -103709852/247. Let n = -15/19 + x. What is the biggest value in -0.5, -7, n? n Let f be (5/10)/(3 + -1 - 1). Let u = -0.46 + 0.26. What is the second biggest value in u, f, 4? f Let n = -5180/3 - -1728. Which is the biggest value? (a) 2 (b) n (c) 0.1 (d) 2/11 a Let j(h) = h**2 - 12*h + 4. Let f be j(12). Let x = 85 + -87. Which is the third smallest value? (a) f (b) 5 (c) x b Let n = -10 + 69/7. Let u = 112.9 + -107.9. What is the fourth smallest value in n, -4, u, 2/9? u Let y be (4/2)/(-30) - 40/(-100). Let q = -86 + 432/5. Which is the biggest value? (a) q (b) 13 (c) y (d) -0.5 b Let h = 2.83 + -4.83. Which is the third smallest value? (a) 0.31 (b) 0.5 (c) h b Let x = -6 + 11. Let w be (-2)/(-7) - (-2536)/(-56). Let j = 40 + w. What is the smallest value in j, x, 4? j Let t = 100 - 97. What is the third biggest value in 2, -6, t, -0.4? -0.4 Let s = -457.06 + 457. Which is the third smallest value? (a) 1/6 (b) -0.3 (c) 1/2 (d) s a Suppose 26*c - 25*c + 64 = 0. Let l = 67 + c. What is the fourth smallest value in -1/6, -1, 1/4, l? l Let x = -85600/187 - -5034/11. Let z = -15.6 + 17. What is the smallest value in x, z, -0.3? -0.3 Let o be 0/(19/(133/28)). Which is the third smallest value? (a) 2/25 (b) 1 (c) o b Let a = 9 - 13. Let h(o) = -o**3 + 6*o**2 + 4*o - 3. Let d be h(6). Let q be 0 + -4 + 98/d. What is the biggest value in q, 0, a? q Let w = 24 - 59. Let y = -104/3 - w. Let s be 2/(-13) + (-318)/(-546). What is the third smallest value in -4, s, y? s Let l be (-82)/6 - (-16)/24. Let c = -37/3 - l. What is the smallest value in c, 4, 1/8? 1/8 Let o = 8 - 13. Let i = 19 + -19. What is the smallest value in -1, o, i? o Let m = -2 + 4. Let y be (40/350)/((-4)/(-10)). Let n = -0.04 + -9.96. What is the third smallest value in y, m, n? m Let h be 3/(-5) + 138/30. Let g = -1/82 + -79/246. Which is the fourth biggest value? (a) 6 (b) g (c) -2 (d) h c Let x be (-2 - 36)*30/(-24). Let o = x + -45. Which is the second biggest value? (a) -2/5 (b) 3 (c) o (d) -5 c Let g be 14/35 + (-787)/1410. Let o = 2/235 - g. Which is the biggest value? (a) o (b) 1/9 (c) 2 (d) 10 d Let t = -438 + 436. Which is the second biggest value? (a) -8 (b) t (c) -0.5 (d) 1 c Let b(q) = -18*q**2 + 505*q - 22. Let f be b(28). What is the second biggest value in f, -0.4, 1, -4/7? 1 Let w = 0.0296 - 5.0296. Which is the third smallest value? (a) w (b) 5 (c) 11 c Let s(t) = -t**3 - 6*t**2 - 2*t - 9. Let p be s(-7). Let m be -2 - 57/p*-2. Let l = -162 - -158. Which is the biggest value? (a) l (b) m (c) 0 b Let q be (-1)/10*(-10)/(-4). Suppose -20*i + 3 - 3 = 0. Which is the second smallest value? (a) -4/3 (b) q (c) i b Let d = 19127 - 19119. Let f = 2 - -1. Let j = -0.6 - -0.1. What is the second biggest value in j, d, f? f Let n = 3.8801 - -0.1199. What is the third smallest value in -534, n, 2/3, 2/7? 2/3 Suppose -u + 13 - 16 = 0, -3*q + 15 = -5*u. Which is the third smallest value? (a) -4 (b) 88 (c) q b Let b = -1.8 + -0.2. Let j be (-3)/(99/(-21) - -2). Let v = 185/133 - j. What is the biggest value in b, v, -3? v Let t = -36 - -12. What is the smallest value in t, -2, -2/3? t Let t = -6.433 - 0.067. Let j = t - -6.2. Let r = -2/135 - -284/945. Which is the smallest value? (a) r (b) 1 (c) j c Let l = -0.8 - -0.5. Let y = 0.7 - l. Let c be -1 + 3/(-60)*612/(-27). What is the smallest value in c, -0.3, y? -0.3 Let b = 2 - -3. Let t = 19.669 - -0.031. Let f = t + -19.4. What is the third biggest value in f, 4, b? f Suppose 0 = 3*r - 6 + 18. Let g be (r/(-5))/(14/10). Which is the second smallest value? (a) 0.3 (b) 0.2 (c) -1/4 (d) g b Let x = 0.1 - -0.01. What is the second biggest value in 2, x, -4? x Let p = 5.8 - 7. Let w = 36 - 37. Let k = p - w. Which is the second smallest value? (a) k (b) -1 (c) -2 b Let i = -2178 - -2180. What is the third biggest value in -2, i, 4, 3/10? 3/10 Let z = -152 - -152.117. Let j = z - 1.117. Which is the biggest value? (a) 4/15 (b) j (c) -0.1 (d) 0.2 a Let b = 0.75 - 3.67. What is the third biggest value in b, 5, 0.2? b Let g be (-4)/5*(-225)/(-630). Which is the fourth biggest value? (a) g (b) 3 (c) 0 (d) -0.2 a Let p = -6 - -27. Let r = p + -16. Let b = -8 - -6. What is the second biggest value in r, b, 0.3? 0.3 Let v be (-2 - -4)*(-1 + -1). Let k = 3 + -1.1. Let s = k - 2.9. What is the smallest value in v, -5, s? -5 Let n(f) = f**3 - 15*f**2 + 14*f + 3. Let o be n(14). What is the smallest value in 5, 84, o? o Let n = 1074.8 + -1075.8. Let g = 2 + -1.7. What is the second biggest value in n, -0.2, g? -0.2 Let i = 3344.1 - 3344. Let y be 1*1/((-10)/4). Let r = 1.9 - 2. Which is the third biggest value? (a) r (b) i (c) y c Let k(r) = r**3 - 9*r**2 + 21*r + 1. Let o be k(4). Which is the third biggest value? (a) o (b) -0.3 (c) 0.11 b Let s = -8 + 13. Let k = 49/12 + -55/12. What is the third biggest value in -4/7, k, s? -4/7 Let m(t) = -24*t - 120. Let l be m(-5). Which is the third biggest value? (a) -1 (b) l (c) 2/17 a Let a = 0.237 - -4.763. What is the third smallest value in -5, -0.11, a? a Let p = 165 - 165. What is the third biggest value in 2/7, 0.5, p, -0.3? p Let i = 92 - 70. Let f = 21 - i. Let l = 0.6 - 0.1. Which is the smallest value? (a) 1/15 (b) f (c) l b Let o = -1565/56 + 221/7. Let n = o - 277/72.
{ "pile_set_name": "DM Mathematics" }
c) = c**3 - 3*c**2 - c - 3. Suppose -g = -2*o + 6*o - 106, 4*o = 5*g + 118. Suppose -5*h + 3*m + o = 0, -4*m - 4 = -3*m. What is q(h)? -6 Let s(z) = 4*z**2 + 2*z + 1. Let b(r) = -5*r**2 - 4*r - 3. Let w(k) = -3*b(k) - 4*s(k). Let t = 1 - -3. Determine w(t). 5 Suppose 15*r - 9*r - 60 = 0. Let t be (-1 + r - 5) + (1 - 11). Let n(g) = g + 4*g - 4*g. Calculate n(t). -6 Let t(f) = -2*f**3 - 13*f**2 - 2*f - 37. Let w(z) = -z**3 - 7*z**2 - z - 19. Let n(b) = 6*t(b) - 13*w(b). Give n(-13). 12 Let m(k) = 21*k. Let b(r) = -2*r. Let w(j) = 49*b(j) + 5*m(j). Let l = 13 + -18. Let p = l - -4. Give w(p). -7 Let l(t) = t - 1. Let s be (-56)/(-72) + (-2)/(-9). Suppose s = 2*i + 5. Give l(i). -3 Let f(b) = b**2 + 3*b + 1. Suppose 3*g = g + 4, -4*l + 4*g + 184 = 0. Let o = l + -51. Determine f(o). 1 Let a(z) = 2*z + 6. Let d(s) = 17*s**3 + s**2 + 2*s + 1. Let p be d(-1). Let g(t) = 55*t + 32. Let c be g(-1). Let u = p - c. Determine a(u). 18 Let s(p) = p + 0*p + 1 - 2*p. Let d = 442 + -446. Give s(d). 5 Let a be (60 - 62) + (-2 + 4 - 0). Let l(t) be the third derivative of 1/24*t**4 - 7*t**2 + 0*t + a + 1/2*t**3. Calculate l(-4). -1 Suppose -6*z = -5 - 1. Let q be (24/10)/((-9)/(-30)). Let y(w) = -q*w + 9*w + 4 + 12*w**3 - 2 - 3. Determine y(z). 12 Let i(d) be the second derivative of -d**5/20 - d**4/4 - d**3/2 - d**2/2 - 2*d - 50. Calculate i(-3). 8 Let v be 14/(-2)*102/(-357). Let l(r) = 4*r**3 + r**2 - 2*r + 3. Calculate l(v). 35 Let c(i) be the second derivative of 0 - 7/6*i**3 + 45*i - 7/2*i**2 - 1/20*i**5 - 1/2*i**4. Let d(j) = -5*j**3 - j + 1. Let w be d(1). Give c(w). 3 Let l(t) = t**2 + 11*t - 32. Let x be l(-13). Let u(z) = z**2 + 2*z - 8. Calculate u(x). 16 Let b(j) = j**3 + 4*j**2 - j + 4. Let t(f) = f**3 - 10*f**2 + 16*f - 4. Let k(x) = -6*x - 34. Let u be k(-7). Let n be t(u). Determine b(n). 8 Let b(v) = -7*v**2 + 2*v + 1. Let i(q) = -2*q**2 - 1. Let m(y) = b(y) - 3*i(y). What is m(3)? 1 Let a = 12 - 5. Let g = a - 0. Let t(j) = -5*j - g + 3*j - 2*j**2 + 9. What is t(-2)? -2 Let b(t) = -52 + 0*t - 6*t**2 - t**3 + 25 + 19 - 5*t. Calculate b(-6). 22 Let v(p) = -42*p**2 + 8*p - 1. Let j(o) = 23*o**2 - 4*o. Let q(l) = 11*j(l) + 6*v(l). Give q(-7). 15 Let o be 9 + -12 + (-7)/(-1). Suppose -3*t - 4*b + 24 = -b, 5*t - o*b - 13 = 0. Suppose h - 4*d - 2 - 13 = 0, -t = d. Let r(p) = p. What is r(h)? -5 Let f(w) be the second derivative of -w**4/3 - w**3/6 + w**2/2 + 19*w + 2. Give f(2). -17 Let k be (-10)/55 + (-92)/(-22). Let f(y) = 5*y. Let u be f(5). Suppose d + k*d + u = 0. Let b(g) = g**3 + 6*g**2 + 3*g - 7. Determine b(d). 3 Let m(l) = l - 8. Let t(p) = 4*p - 25. Let v(d) = -7*m(d) + 2*t(d). Let q be (-2 - 1)*4 - 120/(-20). Calculate v(q). 0 Let u(r) = -r**2 - 7*r - 8. Let m be u(-6). Let v = m + -1. Let z(h) be the second derivative of -h**3/6 - 3*h**2/2 - 236*h. Give z(v). 0 Let d = 17 - 9. Suppose 2*t = d - 4. Let l(c) = 0*c**t - 7*c + 2 - 6 - c**2 + 3. What is l(-6)? 5 Let p = 2 + 2. Suppose p*v - 28 = -0*b + 4*b, 4*v + 2*b + 2 = 0. Suppose v*l + 1 = l. Let y(z) = -6*z**2 + z + 1. Determine y(l). -6 Let u = 3471 + -3466. Let g(k) = -k + 1. Let x(i) = -4*i + 4. Let s(y) = -7*g(y) + 2*x(y). Give s(u). -4 Let d be (-93 - 2)*21/(-35). Let w(x) = -d - x**3 + 2*x - x + 53 + 7*x**2. Calculate w(7). 3 Let y(l) be the second derivative of 5*l**3/2 + l - 18. Give y(1). 15 Let o(s) = -s + 12. Let x(d) = d - 7. Let c(j) = 3*o(j) + 5*x(j). What is c(-5)? -9 Let i(m) = 4*m**3 + 42*m**2 + 21*m + 42. Let z(x) = x**3 + 8*x**2 + 4*x + 8. Let b(k) = -2*i(k) + 11*z(k). Determine b(-3). -47 Let b(k) = -k - 12. Let o(c) = c**2 + c + 4. Let m be o(0). Let t(a) = a + 14. Let y(v) = m*b(v) + 3*t(v). Calculate y(-5). -1 Let h(f) = -9*f**2 + 2*f + 35. Let u(j) = 5*j**2 - 18. Let n(l) = 6*h(l) + 11*u(l). Give n(-11). 1 Suppose -3*b - 3*l + 2*l + 14 = 0, -2*b = -4*l + 14. Suppose 3*r + 2*r + 2*u = -33, r - 3*u + 10 = 0. Let w = b + r. Let n(j) = j**2 + 3*j - 1. Determine n(w). 3 Let s(i) = -1 + 0 + 2 + 9*i - 2. Calculate s(-3). -28 Let p(y) = -4*y**2 + 3*y - 6. Let j(r) = 3*r**2 + 4*r - 1. Let f(l) = -j(l) - p(l). Let u = 6 + 0. What is f(u)? 1 Let t(o) = o**3 + 4*o**2 - o. Let b = 86 + -35. Let q = -55 + b. Calculate t(q). 4 Let l be (4/(-8))/(1/(-2)). Let h be l + -2 - (-11 - -16). Let v(w) = w**2 + 5*w - 1. Give v(h). 5 Let f = -1283 + 1286. Let m(y) = -18*y. Determine m(f). -54 Let x(q) = 7*q + 139. Let v be x(-20). Let s(w) = 10*w + 2. Determine s(v). -8 Let u(h) = h**2 + 4*h + 2. Let k = -10 + 27. Let x = -22 + k. Calculate u(x). 7 Let v(d) be the third derivative of -d**6/120 + d**5/5 + d**4/24 + d**3/6 + 306*d**2. What is v(12)? 13 Suppose 4 = -3*g + 5*f, f - 6 = -7. Let k(b) = -b**2 - 3*b - 2. Determine k(g). -2 Let t(k) = 8*k - 1. Let h be 3 + (2/(-2) - 4). Determine t(h). -17 Let q(j) = 2*j - 19 + 2*j + 8 + 2. Let h(x) = x - 2. Let u(a) = 26*h(a) - 6*q(a). Calculate u(-6). -10 Let i(j) = 4*j - 1. Let l(u) be the first derivative of -u**2/2 - 5. Let o(w) = -i(w) - 3*l(w). Calculate o(1). 0 Let d(j) be the third derivative of -13*j**2 - 1/120*j**6 + 2/3*j**3 - 5/24*j**4 - 7/60*j**5 + 0 + 0*j. Give d(-6). -2 Let z(i) be the third derivative of -i**7/840 - i**6/180 + i**5/60 - 5*i**4/24 - 37*i**3/6 - 35*i**2. Let w(v) be the first derivative of z(v). Give w(-4). 19 Let b(u) = 21*u. Suppose -3*a - 15 + 5 = -m, 4*m + 5 = 3*a. Let v = a + 6. What is b(v)? 21 Let p(g) = -g**2 - 5*g + 9. Suppose -56 = -12*h + 8*h. Let a be (-72)/(-5) - h/35. Suppose -5*v + a = -7*v. Calculate p(v). -5 Let d(m) = 3*m**3. Let v be (-222)/(-42) - (-2)/(-7). Suppose 5*a + 0 = -v. Give d(a). -3 Suppose 61*a = 29*a + 512. Let c(l) = -l**2 + 17*l - 21. Determine c(a). -5 Let s be (4 + -5)*1*21. Let y be ((-7)/s)/(2/(-18)). Let j(l) be the first derivative of l**3/3 + 5*l**2/2 + 2*l + 12. What is j(y)? -4 Let g = -97 + 91. Let s be (g - 105/(-7))*(-2)/(-6). Let v(m) = m. What is v(s)? 3 Suppose 115 = -13*x + 24. Let i(g) = -9*g**2 + g - 11. Let v(a) = -4*a**2 - 5. Let j(l) = x*v(l) + 3*i(l). What is j(3)? 20 Let r(v) be the first derivative of -v**3/3 - 4*v**2 - 12*v + 33. What is r(-7)? -5 Let b = 647 - 646. Let t(m) = -7*m**2 - m - 1. Calculate t(b). -9 Let f(c) = -c**2 - 4 - 7*c - 3*c + 12*c - 7*c. Suppose -2*z + 0 = 4. Let t(a) = -2*a**2 - 2*a. Let q be t(z). Give f(q). 0 Let q(a) = -5*a**3 + 4*a**2 - 5*a + 9. Let d(o) = 22*o**3 - 14*o**2 + 19*o - 35. Let b(l) = -2*d(l) - 9*q(l). Determine b(7). -11 Let c(o) = -o - 11. Let x(b) = b**2 - 28*b + 84. Let k be x(24). Determine c(k). 1 Let b(r) = -2*r + 2*r**2 + 22*r**2 - 25*r**2 + r**3 + 1 + 0*r. Determine b(2). 1 Let h(b) be the third derivative of -b**5/30 + b**4/24 - 11*b**3/2 + 20*b**2. Let l(t) be the first derivative of h(t). Let k = 4 - 7. Calculate l(k). 13 Let b(i) = 2*i + 3. Let m be b(-3). Let d(a) be the third derivative of -a**6/120 - a**5/15 - a**4/24 - 86*a**2. Give d(m). -6 Suppose 6*i = -29 - 115. Let u be (-130)/4*i/30. Suppose -a + f + 3 - 2 = 0, a - u = -4*f. Let w(t) = -t + 6. Give w(a). 0 Let a(o) be the first derivative of -o**4/2 + 16*o**3/3 + 11*o - 625. Give a(8). 11 Let y(t) = -t**3 - 2*t - 1. Suppose -114 + 109 = 5*s. What is y(s)? 2 Let q(j) be the second derivative of j**4/12 + 7*j**3/6 + 4*j**2 + 156*j. Calculate q(-2). -2 Let b be (-2)/(-6) + 3/(-9). Let a(l) = -l - 4*l**3 + b*l + 0*l. Suppose -r - 2*r = 3. What is a(r)? 5 Let c(t) = -t**2 - 2*t + 29. Let k = -1152 - -1145. What is c(k)? -6 Let p(r) be the third derivative of r**8/6720 - r**7/840 - r**6/360 + r**5/120 + r**4/24 - 9*r**2. Let k(l) be the second derivative of p(l). Calculate k(4). 9 Let i(s) = -s**2 + 4. Let n(m) = -m + 7. Suppose -3*b = -2*b - 4, 2*b = -3*o - 19. Let r be n(o). Suppose 5*h + 1 - r = 0. Give i(h). -5 Suppose 20*i - 6 = 17*i. Let c(n) = 6 + 79*n - 5 + i*n**2 - 77*n - 2. Calculate c(-3). 11 Let c(d) be the third derivative of -d**8/6720 - d**7/504 + d**5/60 + d**4/4 - 13*d**2. Let r(p) be the second derivative of c(p). Calculate r(-5). 2 Let z(k) = 1030 - 3*k**3 - 4*k**2 + 2*k**3 + k - 1026. Determine z(-3). -8 Suppose 10*l + 15*l + 150 = 0. Let j(w) = w**3 + 6*w**2 + 3*w - 5. Let n(c) = -c - 1. Let s(i) = -j(i) - 3*n(i). What is s(l)? 8 Let n(p) = -p + 1. Suppose 2*a + 4*a = -72. Let h be a/(-9)*(-9)/6. Give n(h). 3 Let p(m) = m**
{ "pile_set_name": "DM Mathematics" }
u? y Let d = 5.3 - 0.3. Let h = d + 0. What is the third biggest value in h, 4, 3? 3 Let v = 0.055 + 2.945. Which is the second smallest value? (a) v (b) -4 (c) 0 c Let q(g) = -g**3 + 9*g**2 - 7*g + 3. Let d be q(8). Let i = d + -7. Suppose -i*t + 16 = 4. Which is the second biggest value? (a) t (b) -0.5 (c) 0.3 c Suppose 4*j = -16, 2*i - j + 4*j = -24. Let h be -1*3 - (-35)/14. Which is the second smallest value? (a) i (b) h (c) 5 b Let m = -84 - -423/5. Let u be (-13)/(-7) + (-4 - -2). Which is the smallest value? (a) u (b) m (c) 4 a Let g = 0 + 0. Suppose -1 - 5 = -p. Suppose -3*s = 3*w - 3, 3*s + 1 + p = 2*w. What is the third smallest value in g, -3/2, w? w Let i = -64/5 - -38/3. Let f(b) = b**2 + 6*b - 9. Let r be f(-7). What is the second biggest value in i, r, -3/2? -3/2 Let c = 1 - 0.9. Let p = 7 - 4. Let f = -2 + p. What is the third biggest value in f, -1, c? -1 Let d(i) = i**3 + 10*i**2 + 17*i + 7. Let g be d(-8). Which is the second smallest value? (a) g (b) 3 (c) 0.25 c Let i = 0.12 - 0.62. Which is the second biggest value? (a) -4 (b) -2 (c) i (d) 30 c Let t = -5.003 + 0.003. Which is the third biggest value? (a) -2/15 (b) 4 (c) t c Let t = -25 - -19.8. Let g = 5 + t. Which is the second biggest value? (a) 2/3 (b) 2 (c) g a Let z = -12.1 - -11. Let t = 2.1 + z. Let h = -8 - -6. What is the second smallest value in h, t, -1? -1 Let i = -42 + 37. What is the smallest value in 1, i, 0? i Let x be (1/((-2)/2))/3. Which is the second smallest value? (a) 4 (b) -5 (c) x c Let t = 71 - 209/3. Let d be 4 + (-9)/((-198)/(-92)). Let f = 169 + -1523/9. Which is the biggest value? (a) f (b) d (c) t c Let r = -4 - -3.08. Let w = r + -0.08. Let l = -14 + 9. Which is the third biggest value? (a) w (b) 0.5 (c) l c Let n = 40.9 + -38.9. Let r = -0.05 - 0.25. Which is the third biggest value? (a) 0.3 (b) r (c) n b Suppose 0 = -4*n + 44 + 48. Let p = 118/5 - n. Which is the second biggest value? (a) p (b) 0.2 (c) -2 b Let f be 92/90 + 6/(-27). Let y = -111/2 + 55. Which is the third biggest value? (a) -0.3 (b) f (c) y c Suppose 5*y = 5 - 25. Let i = y + 5. Which is the third smallest value? (a) -2/5 (b) 1/6 (c) i c Let g = -0.13 + 0.23. What is the second smallest value in 2/11, 5/4, g? 2/11 Let p = -47/10 + 49/10. Let g(u) = u + 8. Let q be g(-4). What is the third smallest value in q, 2/3, p? q Suppose 0 = -3*t + 7*t. Suppose t = 2*s + 10 - 0. What is the second biggest value in -3, s, 3? -3 Suppose 4 = -5*l + 19. Let n be 152/(-56) - l*-1. Which is the third biggest value? (a) 3/2 (b) 3/5 (c) n c Let l = 0.38 - -0.02. What is the second biggest value in 6/7, 2/13, l, -1? l Let m = 95 + -101. Let j be -2*1/4*1. Which is the biggest value? (a) 0.5 (b) j (c) m a Let g = -19 + 13. Let w = 3 - g. Let p = w + -14. What is the third biggest value in 2/7, -4, p? p Suppose -5 = k + 16. Let x = k + 15. Let s = x - -3. Which is the second biggest value? (a) s (b) 1 (c) 0.5 c Let h be (2/(-18))/(48/(-9) + 5). Which is the biggest value? (a) -2/7 (b) 2 (c) h b Let q = 118 + -118.4. What is the second biggest value in -2/13, -1, 6, q? -2/13 Let i be (-34)/18 - (-3)/(-27). Which is the third biggest value? (a) i (b) -0.1 (c) -3 (d) 4 a Let g = 15 - 22.4. Let k = g + 0.4. Let p = k - -2. Which is the smallest value? (a) -2/5 (b) -2 (c) p c Let l = -0.08 - -1.1. Let i = l - 0.02. Which is the biggest value? (a) i (b) 3 (c) 3/5 b Suppose 2 = 3*x - 7. Let a be (-26)/(-40) - (-1)/(-4). What is the second biggest value in x, -5, a? a Let t = -909 - -905. Let f(j) = -2*j - 3. Let l be f(-2). Let w be (-1)/(-2)*6/(-9). Which is the second biggest value? (a) t (b) l (c) w c Let r = 0.27 + 10.73. Let o = r + -10.7. What is the smallest value in 2, o, -1/4? -1/4 Let q = -1 + -2. Let x = q + 4. Which is the second smallest value? (a) x (b) -0.1 (c) 3 a Let f = -22 - -26. What is the fourth biggest value in f, 0.3, 5, -4? -4 Let p = 0.012 + 0.388. What is the smallest value in 3, p, -2? -2 Let g = -64 - -65. Which is the third biggest value? (a) -1 (b) 1/5 (c) g a Let f be (-43)/(-12) - 1/3 - 2. What is the biggest value in 4, 0.05, f? 4 Let b be 257/18 - (-12)/54. Let v = b - 13. What is the third smallest value in v, 1/4, -1? v Let j = 0.02 - 0.04. Let s = j - 0.28. Let r = 2.1 + -2. Which is the second biggest value? (a) r (b) s (c) 0.3 a Suppose -z - 4 = -2*x, -z = 4*x - 7 - 7. Let j be z/(3 + 1)*0. What is the smallest value in -2/5, -0.5, j? -0.5 Let y = 2/127 - -244/635. Suppose 2*p - p + 8 = 3*l, -8 = -5*l - p. What is the biggest value in l, y, -4? l Let u = 6 + -3. Let l = -25/21 - -13/7. Which is the third biggest value? (a) u (b) 0.5 (c) l b Let h = -13 + 14. Which is the second biggest value? (a) -1/3 (b) 1/5 (c) h b Let g be 2/9 - 258/(-54). Suppose 2*u - 42 = 4*x, -x - 2*x - 48 = -3*u. Let a = u + -7. What is the second biggest value in -2/7, g, a? a Let k = 2 - 5. Let j = -5 - k. Let p be ((80/30)/(-2))/(2 + 0). What is the second biggest value in p, -0.2, j? p Let t = 21.8 + -22. What is the smallest value in -6, t, -4? -6 Let p be 1 + -2 - (-9)/8. Let d = -268/9 + 30. Which is the third smallest value? (a) d (b) p (c) -5 a Let s = 8 + -4. Let q = -0.95 - -0.85. Which is the second smallest value? (a) q (b) 0 (c) s b Let k = -1 - -1. Let j = -46.4 + 52. Let a = 0.6 - j. What is the second smallest value in k, a, 1? k Let n = -15.401 + -0.649. Let z = 12 + n. Let i = z + 0.05. What is the smallest value in 1/4, 2/15, i? i Let n be (-2)/(-3)*12/(-8). Which is the biggest value? (a) -1/3 (b) 26 (c) n b Suppose -5*k + 0 + 5 = 0. Let n be (6*k/(-5))/2. Let f = -1 + 1.2. What is the third smallest value in -3, n, f? f Let z = -15 - -28. Let r = z + -15. Which is the smallest value? (a) 0.2 (b) r (c) -3 c Let i = -19 + 17. What is the second biggest value in -1, 1, i? -1 Let z = -9.94 - -10. Let v = z - -0.84. Let u = 1 - v. Which is the biggest value? (a) -4 (b) u (c) 1/4 c Let x = -0.04 + 0. Let t = -50 + 50.5. Which is the biggest value? (a) 4 (b) t (c) x a Let b = 8.4 + -8.4. What is the biggest value in -0.08, 1, 4, b? 4 Suppose 9 = -8*h + 11*h. What is the second smallest value in h, -2, -1, 2/9? -1 Let n = 0 - 0. Let f = 0 - 1.4. Let r = f - 1.6. What is the third biggest value in 1/4, r, n? r Suppose -j = 2*j - 12, -13 = 3*l - 4*j. Suppose 0 = -a + l - 6. What is the biggest value in 2, -0.1, a? 2 Let o = -1.39 + 1.3. Which is the second biggest value? (a) -0.4 (b) o (c) 0.3 b Let w = 1.9 - 3. Let i = w + 1.6. What is the smallest value in i, 0.1, -3/5? -3/5 Let r = 7/30 + 1/10. Which is the smallest value? (a) 0.4 (b) 2/7 (c) r b Let i = 9.5 - 9.7. Which is the second smallest value? (a) i (b) 10/9 (c) 4 (d) 0 d Let t be (-11)/(-3) + 8/24. Let g be (-2)/(t/2) + 0. Let z = 0.36 + -0.06. Which is the second biggest value? (a) 1/3 (b) z (c) g b Let y = -14 + 20. Let m = y + -10. Let k = -0.12 + -4.88. Which is the smallest value? (a) k (b) m (c) -1/2 a Let t be 12/(-5) - -2*1. Let j be (4/9)/((-46)/69). What is the second smallest value in t, 0.2, j? t Let w = -0.07 - 14.93. Let a = w + 12. What is the smallest value in a, -2, 4/3? a Let l = -16 + 8. Which is the second smallest value? (a) -2 (b) -1 (c) l a Let u = -0.3 + 0.41. Which is the third biggest value? (a) u (b) 3 (c) -4 c Let c = 19 + -17. What is the second smallest value in c, -2, 0? 0 Let h = -30 - -30.5. Let p = 1.2 + -1. Which is the smallest value? (a) p (b) h (c) -1 c Let y(b) = -b**3 + 8*b**2 + 9*b + 5. Let u be y(9). Let q = 8 - u. What is the second smallest value in q, 1/3, -0.3? 1/3 Let u = -4.96 + -0.04. Let n = u + 11. Let k = 8 - n. What is the third biggest value in k, -5, -0.3? -5 Let m = -2/5 - -32/55. What is the biggest value in m, -4, -0.01? m Let q = 107/441 + -1/49. Which is the second biggest value? (a) -4 (b) q (c) 3 b Let k = 0.9 + -1.9. Let w = 6.02 - 0.02. Let p = w - 5.97. What is the third smallest value in 3, k, p? 3 Let j = 0.39 - 0.13. Let k = j + -0.76. Which is the third smallest value? (a) k (b) -3 (c) 4 c Let r = 2.8 + -3.1. What is the smallest value in r, -1/2, 2/11? -1/2 Let x = 33 + -43. Which is the second smallest va
{ "pile_set_name": "DM Mathematics" }
18*-698? 39 Calculate 1344/8436 - (-110)/(-6105)*3. 2/19 What is the value of (4/30*-27 + 3)*(-76)/3078? 2/135 What is (-2)/65 - (-4620)/94380? 1/55 Evaluate ((-10458)/168 - -63) + (5 - 0 - 1325/220). -3/11 What is the value of ((-265)/(-10) - 3)*((-56)/280)/((-3)/30)? 47 What is the value of 42*465/(-6138)*22? -70 (-8)/216*6*(645/(-86) + -1 + -8) 11/3 Calculate (-128 - -113) + 161/23. -8 What is the value of ((-3346)/252 - ((-8)/(-36) + 0))*118/177? -9 Calculate ((-2522)/(-780) - (-3)/5)/(31 + 16153/(-522)). 69 (-28)/(-98)*-7 - 1463/(-703) 3/37 What is (9984/(-4056))/(84/(-78))? 16/7 Evaluate (-136)/3*648/(-594432)*-172. -17/2 Evaluate (45/(-9))/(((-84)/735)/((-64)/56)). -50 What is the value of ((-5)/(180/162))/((-60)/(-200))? -15 (-5736)/(-12428)*(2 + 0 - -10) 72/13 Evaluate (14/10 + (-3)/(-5))/(124 + 73850/(-595)). -17 ((-279)/12)/(408/1632) -93 What is 10 - ((-47)/611 - (-3440)/104)? -23 Evaluate 8601/(-6405) + (-60)/(-28). 4/5 Evaluate 22072/(-94518) + (24/54)/2. -2/177 Calculate (510/187)/((-95)/(-836)) - -18. 42 Evaluate (-4)/(-2)*(-105 - 26550/(-180)). 85 What is (6/10)/(12*(-36)/15120)? -21 What is (26/156)/(2308/11640 + 377/65 + -6)? -97 What is the value of (25/2*19/190)/(10/(2520/7))? 45 -242 + (124 - 158) - -158 -118 (-12)/102 + 14/160*(-181304)/(-82348) 3/40 51569/3197 - 9 - (7 + 0) 3/23 Evaluate (35/(-6))/((-11050)/53040). 28 (-2)/(-8)*((-75 - -30) + 45) 0 891/88 + (-4)/2 + (-91)/13 9/8 Calculate (-26 + 5)*(0/6 + -2) - 4. 38 Calculate 99*(-91 + 48706/539). -63 What is the value of 17*(-290)/(-2465)*(-1 + -22)? -46 Evaluate (1305/1530)/(3/(-306)). -87 Calculate (106 - (26 + 73))/15. 7/15 What is (-1)/(-11) + (-748 + 2)/(-8 - 14)? 34 (-2)/(-22) - (((-4)/(-16))/((-627)/3648) + -3) 50/11 Evaluate ((-2)/88)/(28725/9192*(-1)/(-5)). -2/55 Evaluate 6 + 106/((4 - (-330)/(-80))*142). 2/71 What is (-102)/11*(-103378)/(-75184)? -51/4 Calculate (5 - (-3075)/(-555))/(1765/(-706)). 8/37 Calculate 174*(-113)/((-144188)/88). 12 (-1047)/(-2443) - (18/77)/(-2)*1 6/11 What is the value of 41/((-328)/(-80)) + 34 - 16? 28 What is (-1230)/30 + (-32 - -50)? -23 What is (3916 + -3918)*335/10? -67 Evaluate -2 - (74/(-10) + -2)/((-70)/((-24150)/69)). 45 What is ((-166)/(-1633440)*-144)/(3/15)? -3/41 What is ((-190)/(-660))/((-836)/(-396))? 3/22 Calculate (-337)/(-5) - (20 - 294/(-35) - 29). 68 19608/(-27778) + 42/119 -6/17 (11 - 13)*(2/(-7) - (834/21 + 5)) 90 What is the value of (-51200)/950 + 54 + (-201)/(-76)? 11/4 Calculate (-2026934)/57239 - (-10)/(-17). -36 Evaluate (795 - 801)*39/(-18). 13 Calculate 4/(-42) + (-159)/180*(-8)/(-14). -3/5 What is the value of ((-3088908)/(-41958))/((-8)/14) - 1/((-12)/10)? -128 -1*((-514)/(-30) + (-188)/1410) -17 Evaluate (2/8*1)/(-7 + 14 + 2695/(-380)). -19/7 What is (-1)/(5/12)*360/576*-32? 48 Calculate 32756/3448 - 28/3. 1/6 ((-1872)/(-91))/((-76)/28 + 3) 72 Evaluate (-606)/36966 + 685/4575. 2/15 Evaluate 35 + -29 - (1*17/2 + 52/520). -13/5 What is (-110)/(-5) - ((-19820)/(-12883))/((-4)/(-182))? -48 What is the value of ((-30004)/10386)/((-286)/3)? 1/33 What is the value of ((-10)/8)/(35485/604)*((-6)/(-2) - 4)? 1/47 Evaluate 42/560*2*((-29)/(-3) - 8). 1/4 What is ((14476/35)/(-188))/(2*(-2)/(-40))? -22 ((-408)/4 + 127)*(-1)/5 -5 What is 287/8036 - ((-4205)/(-2100) + -2)? 1/30 What is the value of (-2)/(-4)*(-20 - -31)*2 - -7? 18 ((-179460)/1170 - -50) + 104 8/13 What is the value of -8*(-3071)/(-592) + 8*4/8 + 5? -65/2 Calculate (-182)/(-187) - (-636)/742*42/612*2. 12/11 What is the value of (-5996915)/(-88975) - (-2*(-1)/5 + 1)? 66 What is the value of 35/(74 + -4)*(16/(-30) + 32/80)? -1/15 What is -28 + (-11456)/(-416) + (-1072)/(-2548)? -2/49 Evaluate -27*(-99)/108 - ((-1)/(-2))/(-45 - -43). 25 What is 5/((-250)/550) + (0 - 46)*1? -57 Evaluate (39 - 27) + (-5 + -20 - 16). -29 What is (8 + 7)*7308/2030? 54 Calculate (1927846/(-123054))/(47/(-381)). 127 Calculate (6989/290 - 24) + 4 + 44/(-10). -3/10 Calculate (-6)/(-837)*2421/(-1345). -2/155 1/((-20)/(-15)) - 495674/14264 -34 (143 + -58)/(-17) + 1 + -67 + (0 - 3) -74 What is the value of 58/6 - (-217 - 56750/(-250) - (-1 - 0))? -4/3 What is the value of ((-4)/(-102))/((-76)/12 - -7)? 1/17 Evaluate (-550)/(-182) - 11786/536263. 3 What is the value of 436*(-4)/(-440) - (-4096)/(-256)*(-1)/(-4)? -2/55 What is -113 - 162777/(-1392) - 76/16? -13/16 What is 15/(-9)*2*1*(99 - 165)/(-396)? -5/9 Evaluate (3198/7462)/(((-24)/(-175))/(12/30)). 5/4 What is the value of (-159)/(-2332) - (-1350)/(-68200)? 3/62 What is (-44 + (-1836)/(-42))/((-5)/((-175)/8))? -5/4 What is the value of (-81)/18 + (-1 - -4)/6 + 102/30? -3/5 ((-8)/(160/(-6)))/(15 - 720/24) -1/50 What is the value of (-84)/(-117)*-6 + -8*19/(-34 - 4)? -4/13 Calculate 84 + -121 + 23 + 111. 97 Evaluate (-8892)/288 - (9/(-60))/(-5 - (-304)/80). -31 What is the value of (-2 - (-10)/6)*-39 - (6 + 7)? 0 What is (1050/28 - 41)*2/5? -7/5 Calculate (-12)/(1224/506) - -5. 2/51 55 - (-52 + 2418)/13 -127 What is the value of (-4 + 33)*794/(-3970)? -29/5 (1365/(-65)*(-2)/18)/((-1141)/(-28851)) 59 Evaluate (-27 - 168798/(-4620)) + (-2)/55. 19/2 What is (-989)/344 - 3/(-9)*((-14 - -38) + -9)? 17/8 What is (-7511)/(-1764) + 15750/(-3675)? -1/36 Evaluate (-115)/138 + 260/(-48) + (-180 - -181). -21/4 Evaluate 8*4 + ((-16218500)/1250)/398. -3/5 Evaluate 4757/402 - 1375/(-330). 16 Calculate 5*5/(40/128). 80 Evaluate (3088/(-579))/(448/48 + -8 - (-2)/5). -40/13 8472/(-241452)*38/(-20) 1/15 ((-1176)/14 + 86)/(-118) -1/59 What is the value of -45 - (-1 + (-79 - -56))? -21 What is the value of (4/((-264)/506) + (-4)/(-3))/(7/147)? -133 What is the value of (444/20 - 28)/29? -1/5 What is the value of (-3 + -3 - -1)*(117/(-6))/(810/216)? 26 Evaluate (-23)/((992/1240)/((-87)/15 - -5)). 23 Evaluate (-4)/(66 - 37060/595). -14/13 Calculate 5/(-10) - (6 + 6 + -6 - 3/2). -5 Calculate (-96)/72*990/(-40)*-4*1/4. -33 What is the value of 1053/(-12699) + -21*(-25)/8925? -2/83 Calculate (-9)/(8505/(-711)) - 35/(-735). 4/5 What is the value of (1616 - 1613) + (-1 - 19)? -17 (-3237)/195 - -1*112/7 -3/5 -73 - 9 - ((-1984)/(-310))/(8/20) -98 What is 152*(48 - 7695/162)? 76 (18447/468 + -30)*12 113 What is (-65)/(-6)*(-283956)/118315? -26 What is the value of 26038476/(-500390) + 2/(-220)*-4? -52 Evaluate 462/(-34364)*(-3344)/2128. 3/142 What is the value of (-2)/(-2)*(-37 + 45) + 10? 18 Evaluate (-5*(-9 + (-1155)/(-125)))/(-55*13/(-325)). -6/11 What is the value of 32 - 28105/880 - 0*1/(-2)? 1/16 What is ((-114)/28)/(-3)*230/(-13110)*-114? 19/7 Calculate (-168)/(-1092)*2/(-4) + (-1853)/(-1105). 8/5 65 + ((-2109168)/679)/48 2/7 Evaluate 3260/(-425) + (-15 - -23) - (-14 - (-966)/70). 9/17 ((-10)/1000)/(6/15) - 668108/(-17120) 39 Calculate 15480/(-2150)*(-5)/(-51). -12/17 Calculate (88/(-110))/((-17658)/1260 - -14). 56 What is the value of ((-4)/(-6) - (-9315)/(-22356))/((-5)/(-580))? 29 Calculate (-12858)/(-218) - 8766/(-477747). 59 What is the value of ((-37305)/345 + 108)*(-1)/3? 1/23 Evaluate 5/4*((-6557)/395 + 23). 8 11 - 4 - (51 - 35 - 14) 5 (1064/(-760) - 406/(-15))/((4/3)/4) 77 What is (-42)/(-184)*343376/(-150227)? -12/23 Calculate 10695/(-165) - (6/2)/(88/64*12). -65 ((18/5)/(9/30))/((-37355)/1395 + 27) 54 ((-8784)/427)/((-336)/588) 36 Calculate -120 + 6*-3 + (-149 - -144) + 30. -113 Evaluate (4/(-10) + 11/15)/((497552/(-6897))/514). -19/8 (15 + 8 - 5) + (-29 - -9) -2 What is (916/5267)/((-48)/(-1794))? 13/2 What is the value of (-250)/(-4) - 2 - (36 + 5548/(-152))? 61 (-21)/(-3528)*-8*((-119)/2 + 0) 17/6 What is the value of 6*(-16)/(-128)*(88 + -24)? 48 What is the value of (-328)/(-3157)*147/(-28)? -6/11 (-2)/(-54) - (-4897846)/63639 77 Evaluate 1084/110 + (11 - 3920/154 - -15). 52/5 What is 91/(((-1040)/50)/(-8))? 35 Evaluate (9 - 3 - (6 - (-1)/(-49)))*(-126)/63. -2/49 What is the value of ((-3630)/52)/((-249)/(-332)) + -12*5/(-780)? -93 Evaluate -19*((-4)/(-11))/(228/1254). -38 What is the value of 6/(-13)*(24/6 - -74)? -36 Evaluate ((-21)/(-7) + (0 - 0))*(-13)/(3003/(-308)). 4 Calculate (2350/27025 + 3968/(-138))/(12/9). -43/2 What is (-1111)/44 - ((-19570)/152)/(-103)? -53/2 What is ((-14)/(-35))/(12/(-21780)*-22)? 33 Evaluate (9/22)/((-21825)/(-29100)). 6/11 What is (-28 + -2 + (121 - 97))/((-78)/42)? 42/13 -31 - 2 - 12513/(-291) 1
{ "pile_set_name": "DM Mathematics" }
*l**(-10)*l))**(-10) assuming l is positive. l**(-260) Simplify (m*m**(-1/4)*m*m/(m*m**(-21)))**(-2/3) assuming m is positive. m**(-91/6) Simplify (m*m**1)/m**4*(m**(-3/5)/m)/(m*(m/(m*m*m*m**(-3/5)/m))/m) assuming m is positive. m**(-16/5) Simplify u**(-1)/u*u*u/((u**(-2/3)*u)/u)*u*u assuming u is positive. u**(8/3) Simplify ((w*w*w**0/w*w)/w)**(-3/23)*w**(-1)*(w*((w*w*w/w**(-4/3))/w)/w*w*w*w*w*w)/w assuming w is positive. w**(428/69) Simplify (((l/l**(-8))/l)/(l*l**(-7)/l))**(2/129) assuming l is positive. l**(10/43) Simplify (((c/(c*c*c**(-1)*c))/c)/c)**(-3/35)*c*c**(-2)*c**(-4)/c assuming c is positive. c**(-201/35) Simplify (t*t**(-1/2))**(-15)*t**(2/13)*(t/(t/((t/((t/t**4)/t)*t)/t)))/t assuming t is positive. t**(-87/26) Simplify (t/((t*t**1)/t)*t*t*t/(t/(t/(t/(((t**(-10)/t)/t*t)/t*t)))))**26 assuming t is positive. t**(-234) Simplify (t**(-3/4))**14 assuming t is positive. t**(-21/2) Simplify (j/j**(-3/5))**31 assuming j is positive. j**(248/5) Simplify (v**(-13)/v)/v**(5/8) assuming v is positive. v**(-117/8) Simplify (p**(-1/12))**(-22) assuming p is positive. p**(11/6) Simplify (s**(-4))**(-8/7) assuming s is positive. s**(32/7) Simplify a*a/((a/a**(-20))/a)*a*a*a**(-7/4) assuming a is positive. a**(-71/4) Simplify (((s/s**1)/s*s)/s*s**(-7)*s)**3 assuming s is positive. s**(-21) Simplify ((j*j**(-2))**(-35))**(19/3) assuming j is positive. j**(665/3) Simplify (((d**(-1/14)/d)/d)/((d/(d/(d/d**(3/8))))/d))**33 assuming d is positive. d**(-3135/56) Simplify (p*((p**29/p)/p*p)/p*p)**(2/105) assuming p is positive. p**(58/105) Simplify ((h**8*h)**(-4))**(-5) assuming h is positive. h**180 Simplify (p/(((p**(-11)/p)/p*p)/p))/p**(-19) assuming p is positive. p**33 Simplify m**(-17)*m**38/m*m assuming m is positive. m**21 Simplify (k**(3/11)/k**(-4/3))/(k**4*k**7) assuming k is positive. k**(-310/33) Simplify f**(-3)*f**(-5)*f*(f**(-2/7))**(-7/9) assuming f is positive. f**(-61/9) Simplify h**36*h**(3/29) assuming h is positive. h**(1047/29) Simplify (c**(-13)*c)**(-14/9) assuming c is positive. c**(56/3) Simplify ((v**(-2/5)*v*v*v)/v*v)**(-13)/((v**4/v)/(v**8/v)) assuming v is positive. v**(-149/5) Simplify (m**(-4))**4 assuming m is positive. m**(-16) Simplify (j**(-2/11)*j/((j*j**(-6))/j))/(j**(-3/5)*j*j/(j*(j/j**(-3/13))/j)) assuming j is positive. j**(4754/715) Simplify (h**1/((h**(-3/4)*h)/h*h))/(h*h**(-3)*h**(-2/9)/h) assuming h is positive. h**(143/36) Simplify (v*v**(2/35))/(((v/(v*v**50))/v)/v) assuming v is positive. v**(1857/35) Simplify ((a*a*a**(1/3))**4)**(-12/11) assuming a is positive. a**(-112/11) Simplify (s**(12/11)*s)/(((s*s**(-2))/s)/s) assuming s is positive. s**(56/11) Simplify (z**(-9)/z*z*z**(-15)*z)**(-7/3) assuming z is positive. z**(161/3) Simplify ((b*b/(b**(-1)*b))/b*b)**(-26)/(b**(1/4)/(b**(-5)*b*b)) assuming b is positive. b**(-221/4) Simplify ((w/(w**(-1/5)*w*w*w))/(w/w**(-3)))/((w/(w/(w**(2/17)/w)))/w**6) assuming w is positive. w**(92/85) Simplify x**15*(x/x**18)/x assuming x is positive. x**(-3) Simplify (c/(c/c**(-5/4)))**48 assuming c is positive. c**(-60) Simplify ((s**(-2)*s*s)/(((s**4*s)/s)/s))/((s**(-1)*s)/(s*s/s**(1/4))) assuming s is positive. s**(-5/4) Simplify (l**(-4)*l**(-2))/((l**7*l)/((l*l**(-2/15)/l)/l)) assuming l is positive. l**(-227/15) Simplify (p**5)**(-2/59) assuming p is positive. p**(-10/59) Simplify (v/v**(-2/3)*v*v/((v/(v*v**(-1/8)*v))/v*v))/(v**(3/5)*v**2) assuming v is positive. v**(233/120) Simplify (z**(2/3)/z*z)**43 assuming z is positive. z**(86/3) Simplify h**25/(h/(h**(-19)/h)) assuming h is positive. h**4 Simplify h**15*h*h**(-8/7) assuming h is positive. h**(104/7) Simplify (r*r/r**(13/5))**(-3/17) assuming r is positive. r**(9/85) Simplify (b/(b*b**49/b*b))**3 assuming b is positive. b**(-147) Simplify ((q*q/(q*q*q**(-1/6)*q)*q)/q)/q**(-3)*(q*q*q**(-1/3))/q*q*q**(2/11) assuming q is positive. q**(265/66) Simplify h**(-22/9)/h**(-2/23) assuming h is positive. h**(-488/207) Simplify (q**(1/4))**(8/13)/(q**(-1/4))**(-37/2) assuming q is positive. q**(-465/104) Simplify (c**5*c*(((c/(c*c**(-3))*c)/c)/c)/c*c*c)**(5/4) assuming c is positive. c**(45/4) Simplify d*d**9*d**(-7/6)*d/(d*d/(d**(-1)/d))*d**(2/13) assuming d is positive. d**(467/78) Simplify (y**(-3)/y)**9 assuming y is positive. y**(-36) Simplify ((w/w**(-10))/w**(-5/6))**(-34/5) assuming w is positive. w**(-1207/15) Simplify z**(-7)/(z/(z/(z/z**(1/10)))) assuming z is positive. z**(-79/10) Simplify ((m*m**(-2/9))/(m**(-6/5)/m))**29 assuming m is positive. m**(3886/45) Simplify (j*j*(j**(2/9)*j)/j)**49 assuming j is positive. j**(980/9) Simplify (d**(1/5)/d**(-6))/(d**(-1)/d**(-2/5)) assuming d is positive. d**(34/5) Simplify x**(-1/9)/x*(x*x**3/x*x)/x*(x*x**(2/37))/x*x*x**(-1) assuming x is positive. x**(647/333) Simplify (w**(2/15))**(-3/2) assuming w is positive. w**(-1/5) Simplify x*x*x**(-3/7)*x**(-1/6) assuming x is positive. x**(59/42) Simplify (w/(w**38*w*w))/w**(1/22) assuming w is positive. w**(-859/22) Simplify (y*y*y**(1/11)*y**(-3/4)/y)/((y*y**(-3))/(y/(y/y**(-3/8))*y)) assuming y is positive. y**(261/88) Simplify a/a**(-5/6)*a/a**(2/3) assuming a is positive. a**(13/6) Simplify (b**(-1/2)*b)**43 assuming b is positive. b**(43/2) Simplify (s**(-2)/s)**(-5/4) assuming s is positive. s**(15/4) Simplify (u**(-2)*((u/(u/(u**(-9/4)*u*u*u)*u*u)*u)/u)/u)/(u*u**0/u)**3 assuming u is positive. u**(-17/4) Simplify (t**(-1))**(3/5) assuming t is positive. t**(-3/5) Simplify (o*o/((o/(o**(-9)/o*o))/o))**(-1/8) assuming o is positive. o**(7/8) Simplify y**(-3)/(y/(((y*y/(y/(y/(y/((y/y**23)/y*y))*y))*y*y)/y*y)/y)) assuming y is positive. y**(-23) Simplify ((r**(1/3)/r)/r)**(19/4)/((r**(-1/5)/r)/(r**(-7)*r)) assuming r is positive. r**(-763/60) Simplify (m**7)**(-42) assuming m is positive. m**(-294) Simplify ((x*x**11)/x**(-7))**(-19) assuming x is positive. x**(-361) Simplify (p**(-1)*p/(p/p**(1/4)*p))/((p/(p/p**(2/7)))/p*p)**(-3/7) assuming p is positive. p**(-319/196) Simplify k**(-3/5)*k/k**(-8/7) assuming k is positive. k**(54/35) Simplify l**(-10/7)/(l/l**(-2/27)) assuming l is positive. l**(-473/189) Simplify (a**(-21)*a*a*a)/(a/(((a**(-1/2)*a*a)/a*a*a)/a)) assuming a is positive. a**(-35/2) Simplify (g**0)**(4/31)*g**(1/6)*g**(-1)*g assuming g is positive. g**(1/6) Simplify a**26/a*((a/a**(-21)*a)/a)/a*a assuming a is positive. a**47 Simplify ((p/(p*p**(1/27)*p*p)*p*p)/p)/(p/(p*p*p*p**10/p)) assuming p is positive. p**(269/27) Simplify (g*g**(-3/7)*g)**(-39) assuming g is positive. g**(-429/7) Simplify (u/u**(-4/9)*u/(u**(-5)*u))/((u/u**(1/9))/(u*u*u*u*u**3)) assuming u is positive. u**(113/9) Simplify (b**(-3))**(-3/14)*(b**(-2))**26 assuming b is positive. b**(-719/14) Simplify ((h*h**2)**50)**(-2/3) assuming h is positive. h**(-100) Simplify f**(-14)*f*f*f**(-18) assuming f is positive. f**(-30) Simplify (y**0)**(-6/25)*(y**(2/7))**(1/25) assuming y is positive. y**(2/175) Simplify ((d/(d*(d**(2/9)*d*d)/d*d*d*d))/((d**6*d*d)/d))**(1/4) assuming d is positive. d**(-101/36) Simplify (c**(2/5)/(c*c*(c**(-5)*c*c)/c))/((c*((c**(-2/11)/c)/c)/c*c*c)/((c/(c*c*c**(-2)))/c)) assuming c is positive. c**(142/55) Simplify (l*l**(2/5)*l*l*l*((l*l/(l/l**11)*l*l)/l)/l)/((l**(-4)/l)/l**(-5)) assuming l is positive. l**(82/5) Simplify (k/(k/(k**(-5)/k)*k*k))/(k/(k/(k**6*k)))*k**(-6)/k**3 assuming k is positive. k**(-24) Simplify ((r*(r*r**(-3))/r)/r**(-3))/(r**7*r*r/r**(-7)) assuming r is positive. r**(-15) Simplify (j*j**3*j*j**8)**(2/27) assuming j is positive. j**(26/27) Simplify (d*d/(d**(1/10)/d))/(d**(1/8)*d) assuming d is positive. d**(71/40) Simplify (u/u**(10/3)*u*u)/(u**(-42)/u) assuming u is positive. u**(128/3) Simplify (x/((x*x/(x*x*((x*x**(2/9))/x*x)/x))/x*x))/x**1*x**(3/5)/x**(2/11) assuming x is positive. x**(317/495) Simplify (o**(1/4))**(1/5)*o**1/o**(-2) assuming o is positive. o**(61/20) Simplify (g**(-1/3))**36/(g**4/(((g/(g*(g/((g*g**5/g*g)/g))/g))/g)/g)) assuming g is positive. g**(-13) Simplify (((t*(t*t**(-1/3)*t)/t)/t)**(-3))**29 assuming t is positive. t**(-58) Simplify (z**2*z*z)**(1/25)/(z/(z/(z*z**(-2)*z)))**(-44) assuming z is positive. z**(4/25) Simplify (m**(-2/7)/(m*m*m*m**5))/(m/(m*m**6)*(m/(m**2*m))/m) assuming m is positive. m**(5/7) Simplify (j/j**(-2/73)*j)/j**5 assuming j is pos
{ "pile_set_name": "DM Mathematics" }
ppose 244 = -3*v + z*v. What is the remainder when v is divided by 16? 13 Suppose -7*j + 11*j - 100 = 0. Calculate the remainder when 49 is divided by j. 24 Let z(f) = 15*f + 12. Calculate the remainder when z(7) is divided by 15. 12 Let h = 98 + -59. Calculate the remainder when h is divided by 20. 19 Suppose a = -22 + 53. Calculate the remainder when a is divided by 17. 14 Suppose -3*t - 2*t + 20 = 0. Let j = t - 3. Let r = -5 + 7. What is the remainder when r is divided by j? 0 Calculate the remainder when (3/15 - 0) + (-916)/(-20) is divided by 10. 6 Let l(r) be the first derivative of 2*r**3/3 - 7*r**2/2 + 6*r + 3. What is the remainder when l(7) is divided by 14? 13 Suppose 4*w + 11 = -m + 2*m, m = w + 5. Let n(l) = l**2 + 17*l - 4. What is the remainder when n(-19) is divided by -1 + 2/(w/(-13))? 10 Let i(b) = -b**2 + 5*b - 1. Let y be i(4). What is the remainder when 19 is divided by -1*1*(-7 - y)? 9 Let d(x) be the first derivative of -3 + 6*x + x + 1 - 3*x**2. What is the remainder when d(-6) is divided by 15? 13 Suppose -5*s = 4*m - 176, 3*s - 4*m = -3*m + 92. What is the remainder when s is divided by 12? 8 Let o(s) = s**3 + s**2 + s + 354. Let w be o(0). What is the remainder when 2/(-7) + w/14 is divided by 9? 7 Suppose 4*m = -4*c, -2*c + 2*m = 3*m. Suppose 0 = 3*d + 6 - c, 3*l + 3*d - 39 = 0. Suppose 0 = -2*k + 13 + l. Calculate the remainder when 26 is divided by k. 12 Let v(b) = b**3 - 15*b**2 - 16*b + 13. What is the remainder when 24 is divided by v(16)? 11 Let l = 5 + -5. Suppose -5*i + i = l. Suppose i = 3*z - 4*s - 28, -z + 2 = 4*s - 2. Calculate the remainder when z is divided by 3. 2 Let f(r) = r + 13. What is the remainder when f(5) is divided by 5? 3 What is the remainder when 30 is divided by (34/3)/(50/75)? 13 What is the remainder when 249*2*1/6 is divided by 28? 27 Let q = 6 + 0. Calculate the remainder when (-3)/(-6) + 42/4 is divided by q. 5 Suppose -3*g = 2*g - 45. Let c = 35 - 9. What is the remainder when c is divided by g? 8 Suppose -p + 2 = -0*p. Calculate the remainder when (14 - p)/((-6)/(-4)) is divided by 3. 2 Let x = 3 - -13. Suppose v + 5*r + 6 = -v, 3*r = 2*v + 22. Let k = 17 + v. Calculate the remainder when x is divided by k. 7 Suppose 3 - 11 = -j - 2*b, 3*b + 6 = 3*j. Suppose 4*v - c - 119 = 0, -c - j*c = v - 14. What is the remainder when 56 is divided by v? 27 Suppose 5*o - 2*a = -0*a + 25, 5*a + 10 = 2*o. Suppose 0 = 5*m - o*j, -15 = 2*m + 2*j - 7. Calculate the remainder when 52 is divided by (-30 - 2)/m - -2. 16 Let b(i) = -i**2 - 6*i + 2. Let z = 3 + -2. Suppose o + 2*k = -1 - 0, -3*o - 5*k - z = 0. Calculate the remainder when b(-3) is divided by o. 2 Suppose -h - 9 = -c - c, 2*h - 31 = -3*c. Calculate the remainder when c is divided by (44/33)/(2/6). 3 Suppose 19 + 2 = 7*c. What is the remainder when c is divided by 1? 0 Suppose -5*b = -5 - 5. Suppose 0*n = -b*n + 10. Calculate the remainder when n is divided by 2. 1 Let r(h) = -3*h - 3. Suppose o = -o + 80. Suppose 4*d + d - o = 0. What is the remainder when d is divided by r(-2)? 2 Suppose -5*o = -0*o - 35. Let d(n) = -n**3 - 3*n**2 + 3*n - 6. What is the remainder when d(-5) is divided by (48/14 - 2)*o? 9 Suppose -2*i = -4 + 6. Let r = i + 15. Calculate the remainder when r is divided by 6. 2 Suppose 0*v - 5*v + 48 = -3*r, -2*r = -8. Let t be (0 - 1)*-1*131. Suppose t - 39 = 4*b. Calculate the remainder when b is divided by v. 11 Suppose 3*r + 2*k - 6 = 0, r + k + 2 = 3. Suppose 10 = -3*x + r*t, 2*t = 2*x + 4 + 4. What is the remainder when (-92)/(-3)*(-9)/x is divided by 16? 14 Suppose -2*o - o = -9. What is the remainder when 13 is divided by o? 1 Let v(l) = -6*l**2 - 37*l - 1. What is the remainder when v(-6) is divided by 2? 1 Let a = 8 + -5. Let i(x) = 4*x**2 + x - 3. Let v be i(a). Suppose -4*o = 3*u - 5, o - 3*o = -4*u + v. What is the remainder when u is divided by 4? 3 Suppose 2*p + p - 2*b = 1397, -5*p = -5*b - 2320. Suppose 4*m - p = -129. Calculate the remainder when m is divided by 22. 19 Let p = -79 + 93. Let j(u) = -8*u + 6. Calculate the remainder when j(-6) is divided by p. 12 Let k(j) = 14*j. Let g be k(-1). Suppose -116 = 5*t + 19. Let f = g - t. Calculate the remainder when 38 is divided by f. 12 Suppose -l = 2*l - 57. Let r be (-3 + 8)*(-56)/(-35). Calculate the remainder when l is divided by 82/r + 7/(-28). 9 Let h(g) = -g**2 + 1. Let o be h(-1). Suppose -j - 13 = 4*s - 2*s, o = -5*j - 5*s - 80. Let i = 33 + j. Calculate the remainder when 27 is divided by i. 13 Suppose -3 = -4*v - 5*i - 13, -3*i = -3*v + 6. Suppose 4*j - 64 = -b, v = -4*j + 4*b - 0*b + 44. Calculate the remainder when (-8)/3*(-63)/4 is divided by j. 12 Suppose -2*m + 0 = -10. What is the remainder when m is divided by 2? 1 Let c = 108 + -60. What is the remainder when c is divided by 25? 23 Let p = 14 + -26. Calculate the remainder when p/20 + 576/10 is divided by 20. 17 Let n = -5 + 14. Suppose n = 3*m - 3. Calculate the remainder when 10 is divided by m. 2 Let c = 7 - 2. Suppose c*r = -5*z + 143 - 58, 0 = 3*z. What is the remainder when 0 - (-33 - (-1 - -1)) is divided by r? 16 Suppose 27*l - 160 = 22*l. Calculate the remainder when l is divided by 20. 12 What is the remainder when (1/(-4) + 5/4)*42 is divided by 23? 19 Let c(o) = -o**3 - 5*o**2 - 5*o. What is the remainder when 17 is divided by c(-4)? 1 Let n be 1*-2*(-5)/2. Suppose -7 - n = -4*q. Suppose 2*l = 2*r + r + 35, -q*l + 3*r + 48 = 0. What is the remainder when l is divided by 5? 3 Let g(v) = v**2 - 3*v**3 - v**3 + 3*v - 9*v**2 + 5*v**3. Let k be g(7). Let s = 41 + k. What is the remainder when s is divided by 5? 3 Let n(z) be the first derivative of -z**3/3 + 5*z**2 - 9*z + 1. Let y = 125 + -82. What is the remainder when y is divided by n(6)? 13 Let j be 3/12 + (-7)/(-4). Let x = j + -24. Calculate the remainder when 5 is divided by (-5)/(-20) + x/(-8). 2 Let q(n) = n**2 + n + 15. Let y be 0/3 - 2 - -2. Calculate the remainder when 28 is divided by q(y). 13 Suppose -8 = 2*h - 4. Let a be 1*h*(-9)/6. Suppose 61 = 2*z - a*l, -l - l = 2. What is the remainder when z is divided by 10? 9 Let x = -16 - -31. What is the remainder when 72 is divided by x? 12 Suppose 4 = 2*s + 4*a, s = -3*s + 5*a + 34. Calculate the remainder when (-5)/(-20) - 166/(-8) is divided by s. 3 Let y = 260 - 40. Suppose -d + 6*d = y. Suppose -64 = -2*j - 18. What is the remainder when d is divided by j? 21 Let y = -17 - -29. Suppose 0*a + 25 = 5*a. Suppose -220 = -a*h - 45. Calculate the remainder when h is divided by y. 11 Let n = 60 - -11. Calculate the remainder when n is divided by 24. 23 Let s(y) = y**3 + 9*y**2 - 13*y - 6. Let u be s(-10). Suppose -3*g = -6*g + u. What is the remainder when g is divided by 3? 2 Suppose z - 4 + 2 = 0. Suppose z*o + o - 45 = 0. Suppose 4*y - 2*y - 56 = 0. Calculate the remainder when y is divided by o. 13 Let y = 161 + -2. What is the remainder when y is divided by 41? 36 Let w = -4 + 2. Let m = 11 - 8. What is the remainder when w/6 - (-75)/9 is divided by m? 2 Suppose 7 - 123 = -4*t. Calculate the remainder when t is divided by 20. 9 Suppose 6*o - 52 = 2*o. Let l(z) = 6*z - 10. What is the remainder when l(8) is divided by o? 12 Let r = 831 - 592. Calculate the remainder when r is divided by 12. 11 Suppose 2*l - 12 = -g, 0 = -3*g + 5*g + 5*l - 28. Let v be -2 + (-6)/(-2) - -4. Let z = v + g. Calculate the remainder when 16 is divided by z. 7 Let c = -6 + 8. Let q(d) = 3*d - 6. Calculate the remainder when (17 - c) + -1 - -2 is divided by q(5). 7 Suppose 4*r = k + 89, -5*r + 139 = -4*k + 14. What is the remainder when r is divided by 11? 10 Let x(n) = n - 5. Let w be x(-8). Let k = w - -18. Suppose 3 = u + z - 2, -k*u - 3*z + 19 = 0. What is the remainder when 4 is divided by u? 0 Let b = -26 - -40. What is the remainder when b is divided by (-10)/2*(-5 - -4)? 4 Let u = -18 - -21. Suppose -h = -5*w - 16, -u = -5*h + w + 5. Calculate the remainder when h is divided by 1. 0 Let p = -21 + 29. Suppose -5*q = 5*g + 50, 3*q - g + 4 + 10 = 0. Let d(w) = w**3 + 6*w**2 - 4*w - 9. Calculate the remainder when d(q) is divided by p. 7 Suppose -7 = -5*u + 3. Suppose 0 = 3*c - u*c - 4. Calculate the remainder when 11 is divided by c. 3 Let z(l) = l**2 - 5*l - 2. Suppose -2*h + 5 = -9.
{ "pile_set_name": "DM Mathematics" }
3*z - 5082) to the form a*z**3 + p + x*z**4 + v*z**2 + k*z and give x. -181666 Rearrange -2 - 6431*t + 241*t - 593*t + 2 to the form k*t + z and give k. -6783 Rearrange 316*h - 1901 + 82*h - 1886 + 3787 to the form z + q*h and give q. 398 Rearrange -144*o**2 + o - 1 + 2*o**3 - 211*o**2 - 2*o**4 + 385*o**2 to u*o**4 + i*o**3 + k*o**2 + l*o + v and give v. -1 Rearrange 1042*r**2 + 1677*r**2 + 26*r**2 + 1228*r**2 to the form o*r + a + g*r**2 and give o. 0 Rearrange 2*g**2 - g + g + (-138 + 138 - 71*g)*(11*g + 135 - 135) to t*g**2 + m*g + n and give t. -779 Express 9821 + 1215*p**4 + 9*p**3 - 1212*p**4 - 9822 - 45*p as k*p**3 + n + g*p**4 + h*p**2 + y*p and give n. -1 Rearrange 5*f**4 - 82812*f + 2*f**2 - 1 + 0*f**2 + 82552*f + 3 to the form q*f**2 + k*f**4 + d*f**3 + u + i*f and give u. 2 Rearrange (1 + 1 - 1)*(b + 6 - 6) + 4 - 4 + 2*b + (-35 - 133 - 38)*(2 - 2*b - 2) to the form o*b + i and give o. 415 Rearrange (-2565*a - 171 + 361 - 190)*(0*a + 2 - 8*a - 6*a) to the form h + k*a + c*a**2 and give c. 35910 Rearrange 40*c - 40*c - 7*c**4 + 8 + 0*c**4 + 2*c**2 + 6*c**4 + 12*c**3 to p + o*c**4 + r*c**2 + k*c + w*c**3 and give o. -1 Rearrange 3*w**3 + 18 - 10 + 150*w**4 + w**3 - w**3 - 146*w**4 - w**2 + 3*w to z*w**4 + n*w**3 + s*w**2 + u + b*w and give b. 3 Rearrange (m + 0*m - 2*m)*(236*m - 472*m - 158 + 232*m)*(5 - 5 - 2*m) to a*m + j*m**3 + f*m**2 + u and give j. -8 Rearrange -86*a + 86*a - 1501*a**2 - 2*a**3 - 25 + 1503*a**2 to the form b*a**2 + q + w*a + h*a**3 and give h. -2 Rearrange b**3 + 72*b**4 - 3*b**2 - 141*b**4 + 72*b**4 + b**2 + 4*b to q*b**4 + n + i*b + z*b**3 + l*b**2 and give l. -2 Rearrange -1012 + 22*m**3 + 208 + 178 + 270 + 214 to j*m**2 + u*m**3 + h*m + a and give u. 22 Express -3 - 22*b**2 + 111*b**2 + 137*b**2 as l*b**2 + f*b + q and give q. -3 Rearrange i + 1432 + 1346 - 2329 to the form s + w*i and give s. 449 Express 280 - 4*y**2 + 272 - 824 - 3*y**2 + 278 + 6*y as h*y**2 + b + x*y and give b. 6 Express (-i**2 - 2*i**2 + i**2)*(1094*i + 386*i - 153*i)*(i - 1 + 1) - 2*i**4 + 0*i**4 + 5*i**4 as l + p*i**4 + g*i + q*i**2 + s*i**3 and give p. -2651 Express 67 + 89 + 13*o - 72 in the form x + g*o and give g. 13 Rearrange (3 - 1 - 1)*(3 + 2*h - 3) + 4*h - 3*h + h + h - 3 + 2 + 3 + 59*h + 109*h + 152*h + (0 - 4 + 2)*(-h + h + h) + h - 2*h + 2*h to d + b*h and give b. 324 Rearrange -52*a + 52 - a**4 + 137*a - 104 + 165*a + 51 to y*a**2 + x*a**4 + j*a**3 + w + q*a and give q. 250 Express (1 + 1 + 0 + (3 + 1 - 5)*(-6 + 2 - 4) - 2 - 2 + 5)*(3*p + 6*p - 7*p) as o*p + g and give o. 22 Express 5 - 497*x - 227*x - 423*x - 2 in the form a*x + k and give k. 3 Express (r**4 + 3 - 4*r**3 + r**4 + 3*r**3)*(109 - 352 - 163) as o*r**2 + v*r**4 + u*r + h*r**3 + c and give c. -1218 Rearrange -85603*u**2 + 2 + 85602*u**2 + 3 + 90*u - 2 - 5 to the form r*u**2 + t + m*u and give m. 90 Express (-3284 + 1319 - 2780)*(o**2 - 2*o**2 - o**2) in the form m*o**2 + q*o + p and give m. 9490 Rearrange -m**4 - m**2 - 1 + 121*m - 6*m**3 - 84*m + 4*m**3 to n*m**2 + a + j*m**4 + i*m + v*m**3 and give i. 37 Rearrange -471251*r - 9*r**3 - 21*r**3 + 471248*r - 104*r**2 to m*r**2 + s*r**3 + p*r + u and give m. -104 Rearrange -2913*x + 492*x + 3443*x + 7417*x to the form v + d*x and give d. 8439 Rearrange (1 - 1 + 4)*(-1 + 2 + 3 + (6 - 2 - 2)*(3 + 2 - 7) + 4 + 0 - 3)*(-2 + g + 2)*(g - 3 + 3) to the form a*g + b*g**2 + t and give b. 4 Rearrange (-16*m + 11*m + 2 + 2*m)*(-1 + 3 - 4)*(-13*m**2 + 8*m**2 + 13*m**2)*(1 - 5 - 3) to b*m**3 + y + h*m**2 + k*m and give b. -336 Rearrange 32*f - 92*f - 599 + 34*f + 34*f to the form n + p*f and give n. -599 Express (0*q - 5*q + 4*q)*(272*q + 107246*q**2 + 50725*q**2 + 372*q - 644*q + 20478*q**2) in the form c*q**3 + k*q + i*q**2 + f and give c. -178449 Rearrange 23 + 142*t**3 + 18*t**2 + 40 - 66 - 191*t**2 - 141*t**3 to the form p*t**3 + g + y*t + h*t**2 and give p. 1 Express 165 - 314 + 152 - 259*y as n + a*y and give a. -259 Rearrange (-3*d + 56321 - 56355 + 10*d)*(0 - 1 + 4) to l + w*d and give w. 21 Rearrange -5069*s**3 + 2535*s**3 + 2*s**2 - 3 + 2533*s**3 - 46*s - 2*s**4 to the form i + c*s**2 + d*s**3 + m*s + b*s**4 and give c. 2 Express -2*t + 312*t**2 + 52 - 7 - 10 - 30 as b*t**2 + i*t + f and give i. -2 Express 0*r**3 + 0*r**3 + 12 + 34747*r - r**3 - 34757*r as a*r + t + m*r**3 + l*r**2 and give m. -1 Rearrange -x**2 - x**2 + x - 43291 + 43202 to u*x + p*x**2 + j and give p. -2 Rearrange -6*z**3 + 0*z**3 + 2*z**3 + (z**2 + 28*z**2 + 26*z**2)*(3*z - 10*z + 0*z) + z**3 + 5*z**3 - 4*z**3 to the form o*z**2 + t + l*z + i*z**3 and give o. 0 Rearrange 4527*f + f**2 + 3467 - 4507*f - 3073 to x*f**2 + r + c*f and give x. 1 Express (-2 + 47*r**2 - 52*r**2 + 0)*((4 + 3 - 5)*(2 - 3 + 0) + 7 - 3 + 5 + (0 + 5 - 3)*(-1 - 1 + 1)) in the form n + s*r**2 + j*r and give s. -25 Express -153 - 156 - 148 + 612 - 154 - 216*j in the form a + n*j and give n. -216 Rearrange -5660 + 5660 + 979*b + (-3 + 3 - 4)*(2 - b - 2) to o*b + l and give o. 983 Express -7067*y - 6528*y + 7*y - 234*y in the form m*y + l and give m. -13822 Rearrange 6066*z**2 + 4189*z**2 + 2173*z**2 - 4084*z**2 + (2*z + 2 - 2)*(6*z - 3*z - 4*z) to n*z + y + j*z**2 and give j. 8342 Rearrange -2 - 61*o**3 + 15*o**3 - 1906 + 48*o**3 to the form x*o**3 + t + p*o + f*o**2 and give t. -1908 Rearrange 7*u - 1318*u**2 - u**3 + 1318*u**2 + (-4*u - u - 4*u)*(-3*u**2 + u**2 - 3*u**2) to y*u**3 + r*u + w*u**2 + f and give r. 7 Rearrange (-345 + 2557 + 488)*(-4 + 3 - 1)*(4*t - t - 2*t) to v*t + x and give v. -5400 Express (5*f**3 - 2*f**3 - 10*f**3)*(-55*f - 71*f - 4*f) + 4*f**4 - 104*f**2 + 104*f**2 in the form t + j*f**2 + v*f**4 + u*f**3 + y*f and give u. 0 Express (-3*d - d + 2*d)*(-25327 - 28946 + 47425) as x*d + m and give x. 13696 Express 157*i - 36*i + 290*i + 246*i + 152*i in the form n + y*i and give y. 809 Express (2*l**2 - l**2 - 6*l**2)*(-2 - 3 + 6)*(-5 + 1 + 3) - 211*l**2 + 47*l**2 - 45*l**2 in the form z*l + k + x*l**2 and give x. -204 Express (1009 - 403*y - 2015 + 995)*(-2*y**2 + y**2 + 2*y**2) - 5*y**3 + 4*y**3 - y**3 in the form n*y**2 + c + z*y**3 + l*y and give n. -11 Rearrange 19*o + 1507 + 232 - 66*o + 22*o + 26*o to the form z*o + h and give z. 1 Express 193*d**4 - 2*d**2 - 13*d - 277*d**4 - 44 + 79*d**4 - 4 as p*d + o*d**2 + z*d**3 + f*d**4 + i and give o. -2 Express -44*u**2 + 3*u**3 - 85 + 8*u + 171 + u - 88 - 7*u in the form h*u + c*u**2 + t + r*u**3 and give r. 3 Rearrange 419*c**2 - 3*c + 3*c - 5*c**4 + 4 + 3*c**3 - 420*c**2 to the form j*c**3 + t*c**4 + y*c**2 + f + d*c and give t. -5 Rearrange -2579*h - 1223*h - 1104*h - 457*h - 1694*h + (2*h - 6*h + 5*h)*(1 + 1 + 0) to the form p*h + j and give p. -7055 Rearrange (226*o**3 - 332*o + 332*o)*((19 - 4 - 1)*(-5 + 3 + 1) + 1 + 5 - 3) to the form k*o**2 + y*o**3 + f + x*o and give y. -2486 Rearrange (2*o**2 + 125 - 125)*(1406 - 1406 + 71*o) + (o**2 + 5*o**2 - 2*o**2)*(0 - 2*o + 0) to the form r*o**2 + d + b*o**3 + c*o and give b. 134 Rearrange -88 + 277*v**3 + 272*v**3 + v**2 - 18 - 821*v**3 + 2*v + 271*v**3 to f*v**3 + u + r*v + l*v**2 and give r. 2 Express (20 - 4457*j - 13776*j - 46502*j - 34 + 14)*(-2*j**3 + 3*j**3 + j**3) as b*j**4 + t*j**2 + i + h*j + q*j**3 and give b. -129470 Rearrange 2*h + 124 + 5*h**2 - 103 + 196 - 5*h**2 - 2*h**3 to the form k*h**2 + t*h + o + f*h**3 and give o. 217 Express (-2 + 1 - 8)*(2*l - 5*l + 0*l)*(-3 + 3 + 4) in the form m*l + o and give m. 108 Express -166*o**2 + 3*o - 42*o - 4*o + 2*o + 40*o - 3 as x*o**2 + i + s*o and give x. -166 Rearrange (-1745 + 876 + 21*l + 878)*(2*l - 4*l + 0*l + (l - l + 2*l)*(-3 - 4 + 5)) to the form g*l**2 + q*l + o and give g. -126 Express ((8 + 2 - 1)*(0 - 2 + 7) + 5 - 12 - 14)*(3*f**2 - f**2 + f**2) as s*f + v + k*f**2 and give k. 72 Express -6 + f**3 - 2*f + 506*f**2 + f + 4 in the form x*f**2 + o + c*f**3 + n*f and give o. -2 Rearrange -265 + 1018 - 260 - 1413*f - 237 - 260 to w*f + h and give h. -4 Rearrange -936*p**3 - 2 + 550*p**4 + 1877*p**3 - 2*p - 938*p**3 to the form h*p**4 + n + f*p + o*p**3 + u*p**2 and give f. -2 Rearrange 64*v**3 - 10*v**3 + 63*v**3 + (2*v - v + 0*v)*(v**2 + 3*v**2 - 6*v**2) - 63*v**3 - 104*v**3 + 83*v**3 to c*v**2 + q*v + h*v**3 + l and give h. 31 Rearrange x**3 - x**2 + x**2 + (-5 + 4 - 1)*(32 - 32 + 41*x)*(-
{ "pile_set_name": "DM Mathematics" }
rest ten thousand? 120000 Let s = 2094.932 - 2060. Let i = s + -35. What is i rounded to two decimal places? -0.07 Let m = -6.2 + -48.8. Let s = m - -47.6. Let y = s + 7.4000062. What is y rounded to 6 dps? 0.000006 Let s be 225/30*27440/6. What is s rounded to the nearest one thousand? 34000 Suppose -5*g - 4*t - 58494 = 0, 0 = -g + 3*g - 4*t + 23392. Let h be (-14)/(-63) - g/9. What is h rounded to the nearest one thousand? 1000 Let s = 61 - 40. Let l = -769.24827 - -790.2482746. Let f = s - l. Round f to six decimal places. -0.000005 Let y = 2.3173 + -16.0243. Let l = -83.6 + 70. Let v = l - y. Round v to 2 dps. 0.11 Let t = 58 - 58.016. Round t to three decimal places. -0.016 Let z = -139 - -217. Round z to the nearest 10. 80 Let p = 31 - 17. Let n be p/(-6) + 3/9. Let f be 0 + (2 - -65000) + n. Round f to the nearest 10000. 70000 Let s = 1.4 - 0.1. Let y = 0.3 - s. Let k = -0.99999 - y. Round k to 5 decimal places. 0.00001 Let f = -56944.975 - -56930.9750028. Let c = 14 + f. Round c to 6 decimal places. 0.000003 Let x = 6.4 + -39.4. Let b = 32.999884 + x. Round b to 5 decimal places. -0.00012 Suppose 3*n - 7*n = 5*w + 2320015, 5*n - 5*w + 2899985 = 0. Round n to the nearest one hundred thousand. -600000 Let c = -1.7 + -4.3. Let z = -11.8 - c. Round z to the nearest integer. -6 Let n = -22 + 50. Let b = n + -28.92. What is b rounded to one dp? -0.9 Suppose 3*i = 20299636 + 4313432. Suppose 7195644 + i = 2*p. What is p rounded to the nearest 1000000? 8000000 Let q = -0.22 + 0.02. Let y = q - -0.2000004. What is y rounded to 6 dps? 0 Let s(a) = 5522215*a - 65. Let d be s(-9). What is d rounded to the nearest one million? -50000000 Let w = 2139.970088 - 2138.07. Let z = -1.9 + w. What is z rounded to five decimal places? 0.00009 Let y = -6.61 + 2.83. What is y rounded to 0 decimal places? -4 Let y be 0 - 5/(20/8). Let j be ((-13000000)/5)/(y/(-7)). Round j to the nearest one million. -9000000 Let o = 27.97 + -26. Round o to 1 dp. 2 Let h(b) = b**3 + b**2 + 3*b + 3. Let i be h(-2). Let a be (i - -20007)*2/(-2). Round a to the nearest 10000. -20000 Let w = -0.1 + 0.3. Let b = -93.223 - -93.422993. Let p = b - w. What is p rounded to five dps? -0.00001 Let d = -2 - -2. Let q = 6.9 - 7. Let j = d + q. Round j to 1 dp. -0.1 Let n = 297880 - 298120.346. Let h = -203.4 - n. Let l = h - 37. Round l to two dps. -0.05 Let q = 206 - 131. Suppose -4*t + 32 = -0*t. Let c = t - q. Round c to the nearest 10. -70 Let u = 0.105 + 6.795. What is u rounded to zero decimal places? 7 Let f = -7948.2054 + 7968.2. Let o = -20 + f. What is o rounded to 3 dps? -0.005 Let p = 14735200.274363 + -16462871.4443648. Let k = p + 1727671. Let x = k + 0.17. What is x rounded to 6 decimal places? -0.000002 Let s = -51 - -50.63. What is s rounded to one dp? -0.4 Let d(q) = -14098*q**2 - 8*q + 11. Let k be d(8). Let y = k - -1372325. Round y to the nearest one hundred thousand. 500000 Let l = 0.218 + 0.052. Round l to one dp. 0.3 Let y = -1491.7808 - -1493.1807986. Let f = -1.4 + y. Round f to 7 dps. -0.0000014 Let u be 3/(-5) + 92/20. Suppose -u*r = -12, l - 5455335 = -r + 7244668. What is l rounded to the nearest 1000000? 13000000 Let f = -0.4 - -0.07. Let u = f - -2.23. Let n = u + -1.38. Round n to one decimal place. 0.5 Let y = -0.1 + -0.9. Let h = 4.3 - 3.311. Let u = y + h. Round u to 2 dps. -0.01 Let o be 18/27 - (-18602)/(-3). Round o to the nearest 1000. -6000 Suppose -4*h - s - 855 = -5928, -2*s = 6. Suppose 7331 = u - h. Round u to the nearest one thousand. 9000 Let z = 0.069 - 0.001. Round z to two dps. 0.07 Let n = -138608 + 138607.19999. Let q = n - -0.8. What is q rounded to four dps? 0 Let n = 100325 + -100325.0440084. Let f = -0.044 - n. What is f rounded to 6 dps? 0.000008 Suppose 10*y - 7*y = 39600000. What is y rounded to the nearest 1000000? 13000000 Let u be 16500000/((-1)/((-4)/(-6))). What is u rounded to the nearest 1000000? -11000000 Let r be 5/((1 + -3)/(-2)). Suppose 2 = -p + r, -2*p = h - 536. Suppose -5*j + 4*j + h = 5*b, 20 = 5*b. What is j rounded to the nearest one hundred? 500 Let n = 74519831 + -74519781.000041. Let m = -21 + -29. Let d = m + n. Round d to five dps. -0.00004 Suppose 4*m - 6 + 1 = r, 3*m + 5*r + 25 = 0. Let u = 15 + m. What is u rounded to the nearest ten? 20 Let m = 0.15 + -11.15. Let x = 11.0000019 + m. Round x to six dps. 0.000002 Let u = 3.167 - 0.027. Let n = u + -3. What is n rounded to one dp? 0.1 Let h = 62.0000054 - 62. What is h rounded to six dps? 0.000005 Let q = -116.000009 + 116. What is q rounded to 4 dps? 0 Let j = 30 - 29.999976. What is j rounded to six dps? 0.000024 Let m = -581419382 - -581419368.60000114. Let q = 13.4 + m. What is q rounded to 7 decimal places? 0.0000011 Suppose -8 = -3*l - l. Suppose -4*n - 3*a + l*a = -4685, 0 = 2*n + 4*a - 2360. What is n rounded to the nearest 100? 1200 Let v = 554027 + -362027. What is v rounded to the nearest ten thousand? 190000 Suppose -f - 3*f + 16 = 0. Suppose 4*x + 3*p = 2*x + 4, 0 = f*p. What is x rounded to 1 decimal place? 2 Let w be 4/(1*3/18). Let g be (24476/2)/(3/w). Suppose 0 = 5*h - 72096 - g. Round h to the nearest 10000. 30000 Let c(t) = 6*t**3 - t**2 - t + 1. Let p be c(1). Suppose 4869 = 2*n + 3*u, p*n - u + 6147 = 18294. What is n rounded to the nearest 100? 2400 Let i = -299 + 298.9869. Round i to 3 decimal places. -0.013 Let w = 13055330.9999971 + -13055351. Let l = -20 - w. What is l rounded to 6 decimal places? 0.000003 Suppose 112971 = 2*p + 2*o - o, -p = 2*o - 56490. Let g = 38486 - p. Let u be g/6 - 3/9. Round u to the nearest one thousand. -3000 Let k = -2.96 + -0.04. Let g = k + 3.007. Round g to three decimal places. 0.007 Let w = 1.1 - 1.10000204. What is w rounded to seven decimal places? -0.000002 Let b = 50.1 - 58. Round b to zero dps. -8 Let g = -213.99999863 + 214. Round g to 7 decimal places. 0.0000014 Let v = -138 + 139.79. What is v rounded to the nearest integer? 2 Let w = 0.036 - 0.426. Let t = w - -0.39017. What is t rounded to 4 dps? 0.0002 Let r = 68.054 - 68. Let c = 0.053916 - r. What is c rounded to five dps? -0.00008 Let h = -12.14 - -12. Let u = 0.1 + h. What is u rounded to one dp? 0 Let g = -9 - 4. Let f = 14.9 + g. Round f to 0 dps. 2 Let m = 4461377 + -1851377. Round m to the nearest one hundred thousand. 2600000 Let o = -8.928 - 0.172. Round o to 0 dps. -9 Let p = -0.12 - 4.88. Let o = p + 7. Let x = 1.99999986 - o. What is x rounded to seven dps? -0.0000001 Suppose -3*d = -14 + 2. Suppose 58000 = -5*y - 5*j, y = -d*j - 9508 - 2092. What is y rounded to the nearest 1000? -12000 Suppose -5*p - 80 = 3*v - 11, -p - 9 = 3*v. Let x be (-5262687)/p - 2/(-10). Suppose -49154 - x = 4*l. What is l rounded to the nearest one hundred thousand? -100000 Let g(z) be the third derivative of -z**4/24 + 25*z**3/2 - 2*z**2. Let s be g(0). Suppose -3*n + 0*n = -3*x - s, 0 = -2*n + 4*x + 44. Round n to the nearest 10. 30 Let f = -0.33 - -9.73. Let l = f + -9.39999926. Round l to 7 decimal places. 0.0000007 Let z = 13581 - 13579.7014. Let u = -0.9 + -0.4. Let f = z + u. What is f rounded to three decimal places? -0.001 Let g(z) = -z**3 + 1280. Suppose 2*v = -3*d, 3*d - 2*v = d. Let x be g(d). Round x to the nearest one hundred. 1300 Let w = -217 + 216.9999786. Round w to five dps. -0.00002 Let r = -22.85 - -24. What is r rounded to 1 decimal place? 1.2 Let y = -54 + 54.27. Let i = 0.2656 - y. Round i to 3 dps. -0.004 Let n = -124 + 176. Let d = 28 - n. Let z = d + 23.99999966. What is z rounded to 7 dps? -0.0000003 Let o(u) = -8550006*u + 12. Let r be o(2). What is r rounded to the nearest one million? -17000000 Let n = 34.26 + -0.76. Round n to zero decimal places. 34 Let o = -7.28 + 11.2. Let k = o - 4. Let w = k - -0.148. What is w rounded to two decimal places? 0.07 Let q = 187 - 187.127. Round q to two dps. -0.13 Let q = -4.90143 - -1.70214. Let o = 0 + 3.2. Let p = q + o. What is p rounded to four dps? 0.0007 Let b = 155860 - 106670. Let f be b/(-2*(-2)/(-6)). Let u = f + 155785. Round u to the nearest ten thousand. 80000 Let q = -41.0000014 + 41. What is q rounded to six dps? -0.000001 Let z = -153.00103 + 153. What is z rounded to four dps? -0.001 Suppose -3*d = l - 8, 5*l - 2*d = -0*d + 6. Let z = l + -2. Suppose -4*t + 11
{ "pile_set_name": "DM Mathematics" }
*3 to the form h*j**3 + z + m*j + q*j**2 + u*j**4 and give z. -1 Rearrange (-123*k**2 - 2*k + 6*k + 128*k**2)*(-k**2 - 2*k**2 + 0*k**2) to a + i*k**4 + z*k**3 + x*k**2 + o*k and give i. -15 Express -9 - 6*w**2 + 11 - 47*w**3 + 6*w**2 + w in the form y + u*w**2 + f*w + x*w**3 and give x. -47 Express (-3*r - 2*r + 2*r)*(-3*r**3 - 3*r**3 + 4*r**3) - 39*r**4 + 776*r**3 - 776*r**3 in the form w + v*r**2 + n*r**3 + x*r**4 + u*r and give x. -33 Rearrange (2 + 2 - 3)*(7*i - i - i) - 18*i + 1 - 20*i + i to the form v*i + n and give n. 1 Rearrange 12*a - 3078 + 3078 to the form k + o*a and give o. 12 Rearrange (3 - 2 - 4 + (-1 - 2 + 1)*(-4 - 3 + 6))*(2 + 1 + 1)*(2 - g**2 - 2) to i*g**2 + k + c*g and give i. 4 Rearrange 3*r**2 - r**2 + 0*r**2 + 4 + 2*r**2 - 4 + 3 - 3 + 2*r**2 + (-3 + 3 - 3*r)*(-4*r + 6*r - 3*r) to the form x + h*r + n*r**2 and give n. 9 Rearrange 2*j**3 - 25 + 0*j**3 + 27 to the form g*j**2 + r*j + x*j**3 + o and give x. 2 Express -4*b**2 + 9*b**2 + 10*b**2 + 0*b**2 + 3*b**2 - 4*b**2 + (b**2 + b**2 - b**2)*(0 - 3 + 1) as j + l*b + m*b**2 and give m. 12 Express -1 - 3 + y**2 + 4 as u*y**2 + s + h*y and give u. 1 Rearrange 3*j - 2*j + 3 + 2*j - j**4 to the form u*j**2 + v*j + w*j**4 + i*j**3 + y and give y. 3 Rearrange 9*d + 39 - 39 to the form v + x*d and give x. 9 Express (14*y - 14*y - 14*y**2)*(2*y - y - 4*y) as o*y**3 + x*y**2 + t + i*y and give o. 42 Express -9*f + 8*f - 3*f**3 - 15*f**2 + 14*f**2 + f**4 in the form b + l*f + c*f**3 + v*f**2 + h*f**4 and give c. -3 Express 3*a + 0*a - 5*a + (-2*a + a - a)*(-4 + 3 + 3) - 2*a - 3 + 3 in the form x + h*a and give h. -8 Rearrange 4*g**4 - 3*g**4 - 2*g**3 - 7*g**2 + 7*g**2 + g to f*g**4 + v*g**3 + i + x*g + k*g**2 and give v. -2 Express (-648*p - 8*p**2 + 648*p)*(2 + 2 - 2) in the form d + z*p + a*p**2 and give a. -16 Express -16*p - 13*p + 0*p in the form u + k*p and give u. 0 Rearrange -22*s**3 + 24*s**3 + 0 + 0 + 7*s to x*s**2 + r*s + q*s**3 + m and give q. 2 Rearrange l**4 - l**4 - 3*l**3 + 2*l**4 + l**2 + l**4 to c + d*l**2 + t*l**4 + b*l + v*l**3 and give v. -3 Rearrange z**4 - 51*z**2 - 4 - z + z**3 + 3 + 53*z**2 to the form c*z**2 + x + b*z + a*z**4 + i*z**3 and give x. -1 Rearrange -22*a**2 + 47*a**2 - 88*a - 25*a**2 + a**3 to the form j*a**3 + l + x*a + u*a**2 and give x. -88 Express 6*f + f + 7*f - f in the form u*f + t and give u. 13 Express (-2*b - 3*b + 7*b)*(-7 + 31 + 56 - 5) as k*b + t and give k. 150 Rearrange 6*x**2 + 0*x**2 - 7*x**2 + x - 2*x to the form b*x + i*x**2 + q and give i. -1 Express (z - 5*z + 8*z)*(-25*z**2 - 89*z + 89*z)*(-z + z + z) in the form i + h*z + f*z**3 + b*z**4 + x*z**2 and give b. -100 Express -39*v + 41*v - 4 - 2*v**2 + 4*v**4 - 2*v**3 + 4 in the form l + x*v**4 + u*v**3 + j*v + d*v**2 and give u. -2 Express (2*v + v**2 - 2*v)*(5*v**2 - 5*v**2 - v**2)*(3 - 5 + 3) in the form n*v + s*v**2 + w + d*v**4 + l*v**3 and give d. -1 Express (5*d**2 + 0*d**2 - 2*d**2)*(169*d**2 + 94*d**2 - 77*d**2) in the form z*d + m + b*d**4 + w*d**3 + y*d**2 and give b. 558 Rearrange (8*a + 1 - 1)*(-1 - 4 + 4) - a + 5*a - 3*a to the form v*a + s and give v. -7 Rearrange (2*b**2 + 2*b**2 + 0*b**2)*(2 - 2 - 2*b) + 0*b**3 - 2*b**3 + 4*b**3 + (0*b + 0*b - 3*b**2)*(0 + 0 - b) to q*b + g*b**2 + h*b**3 + u and give h. -3 Rearrange ((5 - 1 - 3)*(3*c + 4 - 4) - 4*c + 0*c + 0*c + 3*c + 0*c - c)*(0*c**2 - 3*c**2 + 5*c**2) to the form f*c + x + p*c**3 + m*c**2 and give p. 2 Express -247 + 247 + 38*a in the form d*a + r and give d. 38 Express (3*i - i - 4*i)*(i - 5*i + 3*i) + (-5*i + 3*i + i)*(-3 - 27*i + 3) in the form j*i**2 + k*i + o and give j. 29 Express 2 + 2*w - 3*w**4 + 2*w**2 + 4*w**4 + 2 in the form s*w**3 + p*w + q + u*w**2 + l*w**4 and give l. 1 Rearrange (v - 2*v + 0*v)*(2 - 2 - v)*(9 - 1 - 7) to z + r*v + t*v**2 and give t. 1 Rearrange m**3 - 1 + m**2 + 3 - 3*m**4 - 1 - 6*m**3 to i*m + u*m**3 + r*m**2 + o*m**4 + f and give r. 1 Express 4*i + i**3 - 5*i - 6*i**3 + 2*i**4 as f*i**2 + w*i**4 + l + a*i**3 + b*i and give w. 2 Rearrange -2 + 1 + u**2 - 8*u**2 + 2*u**3 + 0*u**3 to c*u + v*u**3 + k + x*u**2 and give x. -7 Express (15*a + 5*a - a)*(0 + 2 - 4)*(-5*a**3 + 5*a**3 + a**3)*(1 - 1 + 2) in the form v*a + h*a**2 + s + z*a**4 + b*a**3 and give z. -76 Rearrange 6 - 2 - 2*d**3 + d**2 + 2*d**4 + 0 to the form g*d**4 + t + w*d + l*d**3 + i*d**2 and give l. -2 Express -9*a + 11 - 4 - 12*a - 5 in the form t*a + r and give r. 2 Rearrange 11*o - 5*o**2 - 7*o**2 + 10*o**2 to the form f*o + k + s*o**2 and give k. 0 Express 16 + 109*f - 223*f + 109*f in the form y*f + i and give y. -5 Express 3*j**3 - 4*j**2 + 103 + 0*j**2 - 101 as l*j + h*j**2 + u*j**3 + v and give h. -4 Express (-s + 0*s + 3*s)*(-s - 46 + 5*s**3 + 46) as z*s + w*s**3 + u*s**2 + j*s**4 + x and give u. -2 Express -1 - 10 - 2*o**3 + 9 - 4*o**2 - o in the form u + j*o + r*o**3 + l*o**2 and give j. -1 Rearrange -4*z**3 + 2*z**2 + 38 + z - 40 - z to the form d*z + s*z**2 + g*z**3 + j and give j. -2 Express 11*r**3 - 23*r**3 - 4*r + 14*r**3 as w*r**2 + t + z*r**3 + g*r and give w. 0 Rearrange 91*t - 62 + 62 to v + k*t and give k. 91 Rearrange 2*s**3 - 7*s**3 + 7 - 3 to the form k*s + c*s**3 + v*s**2 + p and give p. 4 Express (3*u + u - 2*u)*(-2 + 4 - 5) + 23*u + 73*u + 60*u - 33*u in the form r*u + l and give r. 117 Express (-1 - 1 + 5)*(2*m**2 - m**2 - 4 + m**2) in the form u*m**2 + p*m + w and give u. 6 Rearrange 8*r**2 + 3*r**2 + 5*r - 14*r**2 - r**2 + 3 to a + d*r + m*r**2 and give m. -4 Rearrange (-3*d**2 + 2*d**2 + 4*d**2)*(-5 + 15*d**2 - 4*d**2 - 9*d**2) to the form b*d**4 + a*d + s + i*d**3 + u*d**2 and give u. -15 Express 0 + 1 - t**3 - 8 as y*t**3 + v*t**2 + w + m*t and give w. -7 Express (-5*g + g + 2*g)*((1 - 4 + 2)*(-3 - 2 + 4) + (-2 + 3 - 7)*(-1 + 1 + 1) - 1 + 5 - 1) in the form o*g + s and give o. 4 Rearrange -34 + 2*h**2 - 3*h**4 + 31 + h + h**4 to the form g + j*h**2 + v*h**4 + u*h + w*h**3 and give g. -3 Express (5 - 1 + 6)*((-3*x + 5*x - x)*(3 - 3 + 2*x**2) + x - x + 3*x**3) as t*x**3 + r + p*x**2 + z*x and give t. 50 Express 2*p**2 + p - 4*p**2 - p - 4 as j*p + d*p**2 + q and give d. -2 Express 10*v**2 - 8*v**2 + v - 5*v**4 - 4*v**2 as u*v**3 + n*v**4 + k + g*v + a*v**2 and give g. 1 Rearrange -28*w**2 - 2*w**3 - 2 + 1 + 28*w**2 to the form v*w + u + x*w**3 + y*w**2 and give u. -1 Express -3*f - 86 + 40 + 34 as t + y*f and give t. -12 Rearrange 1202*f - 1202*f + 34*f**2 to l*f + d + r*f**2 and give r. 34 Rearrange (-17 - 39 + 14)*(-1 + 1 - 2*u)*(-2 + 1 - 1) to the form z + r*u and give r. -168 Rearrange (-5*o + o + 2*o)*(-5*o - 2*o + 5*o) + 2 - 2 + o**2 to w*o**2 + s*o + y and give w. 5 Express -m**3 + 4*m - 4*m + (-3*m**2 + 2*m**2 - m**2)*(2*m - 7*m - 4*m) in the form h*m**2 + i + c*m**3 + s*m and give c. 17 Rearrange (0*v**2 - 4*v**2 + 3*v**2)*((0*v - v + 2*v)*(0 + 0 + 2) - 1 + 1 + v) to q*v**2 + u*v**3 + o + k*v and give u. -3 Express -9 + 14 - 17 + 2*u as j + o*u and give j. -12 Express 0*d**3 + d**3 + 0*d**3 + (-2 - d**2 + 2)*(4*d + 4*d - 6*d) + (1 - 4 + 1 + 4*d**2)*(3*d + d - 5*d) in the form q*d**3 + s*d**2 + a + p*d and give q. -5 Rearrange (-b + b + 2*b)*(-b**2 - b**2 + 0*b**2) + b**2 - b**3 - b**2 - 743*b**3 + 3*b + 662*b**3 - 3*b to the form p*b**2 + u*b + f + g*b**3 and give g. -86 Express (-6*m**3 - 14*m + 14*m)*(m + 0*m + 0*m) - 2 + 2 - 2*m**4 + (-2 + 0 + 3)*(9*m**3 + m**4 - 9*m**3) as j*m**2 + h*m + w*m**3 + x + i*m**4 and give i. -7 Express -75*n**2 + 32*n**2 + 42*n**2 + 5 + 2*n**3 - 2 in the form b*n + t + h*n**3 + u*n**2 and give t. 3 Express -2*m**2 + 5*m**2 - 4*m**2 + m**2 - 2 + 2 - m + m + 2*m**2 + (-6 - 7 + 6)*(0*m**2 - 4*m**2 + 5*m**2) as g*m**2 + a*m + d and give g. -5 Rearrange (8*o + o - 4*o)*(7 + 0*o + o - 61) to v*o + f*o**2 + q and give v. -270 Express (3*h**2 + 4*h - 4*h + (0*h + 2*h - 4*h)*(-6*h - 10 + 10))*(5*h + h - 2*h)*(-5 + 3 + 3) as q*h**2 + l*h**3 + s + m*h and give l. 60 Rearrange (-14*p**3 + 6*p**3 + 6*p**3 + 5)*(p - 4 + 4) to the form s*p**4 + x + n*p**2 + j*p**3 + m*p and give j. 0 Express (-4*s + 8*s - 6*s)*(4 - 3 + 1)*(s + 1 - 1) as m*s + a + h*s**2 and give h. -4 Rearrange -2*g**4 - 16*g**3 + 8*g**3 + 8*g**3 + g - 4 to the form a + b*g**4 + x*g**3 + w*g**2 + m*g and give a. -4 Rearrange -2*d + 3*d**4 - 2 + 5 + 0*d to the form s + t*d**2 + q*d**3 + b
{ "pile_set_name": "DM Mathematics" }
v be g/2*(10 + -10). Let x(f) be the second derivative of f**3/6 + 9*f**2/2 + 12*f. Calculate x(v). 9 Let v(a) = -a**3 - 23*a**2 - a - 15. Let f be (-3)/(36/368*(-7)/(42/(-8))). Give v(f). 8 Let l(t) be the second derivative of -t**6/360 + t**5/12 - t**4/4 + 35*t**3/6 + t**2/2 - 16*t - 2. Let s(o) be the second derivative of l(o). Give s(7). 15 Let z(d) be the third derivative of 13*d**4/24 - 20*d**3/3 - 2*d**2 + 1072. What is z(3)? -1 Let g be 7*(-20)/490*(1 - 8). Let l(b) = -5*b - 7*b**2 + 19*b + 1 + 9*b**g - 11*b. Suppose k = -2 - 1. Calculate l(k). 10 Let m(h) = -848*h - 56. Let c(r) = -118*r - 8. Let w(t) = -36*c(t) + 5*m(t). Give w(8). 72 Let d(k) = -13*k**3 + 5*k**2 + 7*k + 1. Let w be d(-1). Let o(f) = -f**3 + 14*f**2 - 23*f - 26. Give o(w). -14 Let u = 404 - 388. Let a(j) = -j**3 + 18*j**2 - 30*j - 36. What is a(u)? -4 Let t(d) = -d**3 + 18*d**2 + 38*d + 36. Let v(z) = -18*z**3 + 10*z**2 + 15*z + 7. Let j be v(-1). Determine t(j). -4 Let f(s) = s - 13. Let m be f(-6). Let w = m - -21. Let g(c) = -w*c - 69 + 67 + 3*c - c**2. Give g(0). -2 Suppose 62*i - 698 = -4108. Let g(w) = -w**3 - 63*w**2 - 440*w + 6. Calculate g(i). 6 Let l(z) = -5*z + 1. Let q(w) be the second derivative of -w**3/6 - 38*w. Let n(f) = -2*l(f) + 14*q(f). Give n(-2). 6 Let c(t) = 4*t - 4. Let f(g) = 2*g - 3. Let w(s) = -2*s**3 - 25*s**2 - 5*s + 87. Let n be w(-12). Let h(l) = n*c(l) - 4*f(l). Determine h(1). 4 Suppose 380*z - 6*z - 269 - 853 = 0. Let g(j) be the first derivative of -3*j**4/4 + 2*j**3/3 + 2*j**2 - 3*j - 1. Calculate g(z). -54 Let l(w) = 2*w - 6. Let r = 34 - 17. Suppose 3 = -7*k + r. Let h be ((-2 - k) + -8)/2. Determine l(h). -18 Let x(c) = c**3 - 39*c**2 + 273*c - 83. Let z be x(30). Let h(j) = 5*j - 9. Let k(n) = -11*n + 18. Let s(f) = 5*h(f) + 2*k(f). Give s(z). 12 Let u be ((-52)/14)/(1050/3675). Let o(p) = p**2 + 8*p + 17. Give o(u). 82 Let n(z) = -15*z - 220. Let b(c) = -47*c - 662. Let i(x) = -2*b(x) + 7*n(x). Calculate i(-19). -7 Let s be 15/2 + (-14)/28. Let x(i) = -i + 6. What is x(s)? -1 Let w(o) be the second derivative of 7*o**4/6 + 5*o**3/6 - 2*o**2 - 42*o + 38. Calculate w(1). 15 Let n be (101/303)/(1*2/(-96)). Let u(r) = -4*r - 69. What is u(n)? -5 Let w(m) = 2*m. Let x = 356 + -281. Let p be 55/(-15) + 10/x*5. Give w(p). -6 Let g(o) be the second derivative of -1/6*o**3 + 1/2*o**2 - 12*o + 3. Give g(6). -5 Suppose 151*p - 147 = 158*p. Let s be (-4 + (-1 - -6))/(3/p). Let j(v) = -v**3 - 7*v**2 - 2*v - 6. Give j(s). 8 Let u(h) = -h**2 + 8*h + 25. Suppose -4*q = 2*b - 36, 3*b + b - 3*q - 28 = 0. Let d be u(b). Let m(o) = 6*o - 4. Calculate m(d). 26 Let x(d) = -d**3 - 7*d**2 + 5*d + 16. Let t(p) = p**2 + 72*p + 848. Let j be t(-57). Give x(j). -19 Let p(d) = -12*d**3 + 56*d**2 + 10*d - 485. Let q(c) = -c**3 + 5*c**2 + c - 42. Let z(a) = -2*p(a) + 23*q(a). What is z(-4)? -24 Suppose -5*p + 22 + 28 = 0. Suppose 5*l = 5*j - p*j + 10, -3*l - 4*j = -11. Let v(a) = -3*a**2 + 2 - 2 + 3 - a. Give v(l). -21 Suppose -2*m + 349 = -3*x, m - 2*x = -m + 354. Let o(w) = -90*w - 86*w + m*w + 2. Give o(-5). -28 Suppose -41*y = -15278 - 6124. Let h = y + -520. Let j(s) = 8*s - 5. Give j(h). 11 Let m(f) = -32 + 19*f + 142 - 97*f + 74*f. Determine m(25). 10 Suppose -157 = -4*g - 17. Let v be (16/(-12))/(3 - 11/3). Let q(u) = 14*u - g*u + 14*u + 4 + 2*u**v + 0*u**2. Give q(4). 8 Let g(x) = 16*x**3 + 2*x**2 + 0*x**2 + 8 + x**2 - 2*x - 17*x**3. Give g(5). -52 Suppose -i = -2*i + 5, -o + i = 7. Suppose -866*h - 30 = -872*h. Let z(x) = 18*x - 9. Let p(b) = -8*b + 3. Let u(n) = h*p(n) + 2*z(n). Give u(o). 5 Let h(l) = l**3 + 15*l**2 - l - 13. Suppose 2*n = 2*x + 38, 1019 = 4*x - 5*n + 1099. Determine h(x). 2 Let p(r) = 3*r**2 + 6*r + 7. Suppose 0 = 7*c - 954 + 982. Determine p(c). 31 Let f(v) = -v**3 - 11*v**2 - 25*v + 18. Suppose -z + 2*m + 4 = 0, 137*z - 5*m = 142*z + 70. Calculate f(z). 26 Let h(f) = -8*f**2 - 2*f - 1. Let s(r) = -2*r + 13. Suppose 20 = -5*q + 10*q. Suppose 0 = -q*b - b + 35. Let d be s(b). What is h(d)? -7 Let m(c) = 2*c**3 + 2*c**2 - 1. Suppose 0 = 4*a - 4*t - 1344, -16*a + 12*a = t - 1359. Let p = a - 340. Give m(p). -1 Let a(o) be the second derivative of -o**4/12 - o**3/6 - 3*o**2 - 2*o - 4239. Give a(7). -62 Let j = -24548 + 24551. Let b(y) = -y**3 + 10*y**2 - 8*y - 6. What is b(j)? 33 Let x(c) = c**3 - 8*c**2 + 15*c - 4. Let z be ((-46)/92)/(3/(-18)). Give x(z). -4 Let s = 34 - 34. Let o be -2*2 - 39*(-10)/15. Suppose o*a - 28*a - 42 = s. Let b(l) = l**2 + 4*l - 9. Determine b(a). 12 Let p(q) = 12 - 3 + 1 - 2*q + 1. Let y be (-4 - (-2 - -3)) + 93. Let k = y - 80. What is p(k)? -5 Let w be 36*(341/(-33) + 10). Let m(l) = 3*l + 10. What is m(w)? -26 Let i(v) = 16*v**2 + 5*v - 34. Let n(z) = 3*z**2 + z - 6. Let m(s) = 4*i(s) - 22*n(s). Determine m(0). -4 Let m(j) = j**2 - 3*j**2 + j**2 - 1 - 2*j. Let t(x) = 10*x - 56. Let p be t(5). Let n be ((-5)/2)/(p/(-12)). Determine m(n). -16 Suppose -61*r - 185 - 510 = -24. Let h(m) = 32*m + 353. Determine h(r). 1 Let x(b) = -b**2 - b - 1. Let n(z) = -4*z**2 - 11*z - 13. Let v(f) = -n(f) + 5*x(f). Determine v(-4). -32 Let n(s) be the first derivative of s**3/6 - 6*s**2 + 54*s + 17. Let x(w) be the first derivative of n(w). Calculate x(11). -1 Suppose 8 = -451*b + 455*b. Let m(f) = f**3 + f**2 - 2*f + 4. Give m(b). 12 Let v(q) = 19*q - 15*q + 11 - 2*q. Let u(z) = z + 5. Let m(r) = 7*u(r) - 3*v(r). Determine m(2). 4 Let z(x) = x**3 - 12*x**2 - 2*x + 18. Let t = -240 - -243. Suppose -q - 48 = -4*n, -48 = -n - t*n - q. Give z(n). -6 Let n(h) = 2*h**2 + 2*h - 5. Let d(q) = q**3 + 66*q**2 + 5*q + 325. Let s be d(-66). What is n(s)? 35 Let x(r) = -4*r**2 + 5*r + 2*r**2 + 20*r - 9 - 19 + r**2. Calculate x(24). -4 Let c(m) = 6*m + 7*m - 4*m**2 + 3*m**2 - 233 + 182. Give c(11). -29 Let b(y) = y**3 + 5*y**2 + y + 7. Let h be 1/(5 - (-1164)/(-232)). Let w = h + 72. Suppose 18*l + 20 = w*l. Calculate b(l). 2 Let o(d) = 10*d**3 - 6*d**2 + 111*d + 4. Let i(g) = 3*g**3 - 2*g**2 + 32*g + 1. Let w(s) = -7*i(s) + 2*o(s). Determine w(-3). 52 Suppose -11*p + 19 = 19. Suppose 4*i + 46 - 10 = p. Let v(n) = 3*n + 17. What is v(i)? -10 Let l(f) = 2*f**2 + 20*f - 34. Let x = 6926 + -6938. What is l(x)? 14 Let o(d) = 16*d + 5*d**2 - 16 + 6 - 10*d**2 + 5*d. Let r be o(4). Let c(x) = -x**2 - 5*x + 4. Give c(r). -2 Let b(l) = 2*l**3 - 2*l**2 - 1. Let y(n) = -2*n**2 - 19*n + 13. Suppose -j = -2*o - 22, -2*o + 3*j - 30 = -2*j. Let q be y(o). What is b(q)? 35 Let s(b) = -b**2 - 13*b - 16. Let o(w) = -3*w - 5*w + w - 3 + 3*w. Let h be o(2). Give s(h). 6 Let x(d) = d - 3 + 4 - 3*d + 2*d**3. Let a = 20 + -10. Suppose 2*j = 3*t - 2, 0 = -2*t - j + 2 - a. Determine x(t). -11 Suppose 0 = -10517*w + 10516*w. Let d(f) = -f**2 - 22. Give d(w). -22 Suppose -14*l + 6*l + 16 = 0. Suppose 0 = 3*j - 4*p + 21, l*p - 4 = 2. Let c(q) = q**2 + 4*q - 4. What is c(j)? -7 Let z(q) be the third derivative of q**6/120 - 13*q**5/60 + q**4/2 - 4*q**3/3 + 4*q**2 - 19*q. Calculate z(12). -8 Suppose 0 = 4*w - 26 - 18. Let f(q) = -11*q + 15 - w*q**3 - 2*q**3 + 14*q**3 + 11*q**2. What is f(-12)? 3 Let q(o) = -75*o. Let z(f) = -953*f - 7622. Let l be z(-8). What is q(l)? -150 Suppose 84*a - 220 = 104*a. Let k(d) be the third derivative of d**5/60 + 3*d**4/8 - 5*d**3/3 + d**2. Determine k(a). 12 Let u(v) = -v**2 + 6*v - 11. Let l(z) = 2*z**3 - 7*z**2 - 8*z + 21. Let g be l(4). Give u(g). -6 Let s(t) be the second derivative of 19*t**4/12 - t**3/3 + t**2 - 2*t - 570. Give s(1). 19 Let y(a) = -10806 + 21511 - 10809 - 38*a. Calculate y(-3). 10 Let n(x) = -4*x + 21. Let w(u) = -24*u + 107. Let i(t) = -5*n(t) + w(t). Suppose -2*b - 5 = -y - 1, 5 = -5*b. Calculate i(y). -6 Let b(z) be the third derivative of 7*z**4/12 + 2*z**3/3 + 2*z**2 + 340*z. Give b(3). 46 Let z(k) = 2*k**2 + 10*k - 7. Let j(h) = -6*h**2 - 29*h + 20. Let n(c) = 6*j(c) + 17*z(c). Suppose -g + 6*g - 150 = 0. Suppose -12 + g = -6*m. Calculate n(m). -5 Suppose 0 = g + 3*g - 24. Let y be g/(-4)*(-188)/141. Let n(j) = -2*j**2 + 6*j - 3. What is n(y)? 1 Let f(u) = -u**3 - 3*u**2 + 4*u - 3. Suppose 2*j = -4*z - 26, z + 24 = -3*j - 2*z. Let o be 1*(-1)/(j/165). Let r = 57 - o. What is f(r)? -15 Let y(z) be the second derivative of -z**4/12 + 2*z**3/3 - z**2 - 79*z. Let a be -28 - 4*(-3)/6. Let j = a +
{ "pile_set_name": "DM Mathematics" }
b(o) = 4*o**2 - 26*o. Let f(m) = 13*m. Let x(w) = -b(w) - 2*f(w). Let j(k) = 67*k - 1. Determine j(x(v)). -268*v**2 - 1 Let s(m) be the second derivative of m**6/360 + 37*m**3/2 - 11*m + 1. Let l(y) be the second derivative of s(y). Let i(c) = -c**2 - 69. Determine l(i(z)). z**4 + 138*z**2 + 4761 Let f(l) = -121076*l**2. Let v(g) = 5520*g**2. Determine f(v(p)). -3689234150400*p**4 Let y(m) = -172*m**2. Let h(b) = -3*b - 15. Let w(u) = 2*u + 18. Let t(f) = 6*h(f) + 5*w(f). Give t(y(s)). 1376*s**2 Let o(d) = -214147687*d. Let a(h) = -2*h**2. What is o(a(v))? 428295374*v**2 Let o(f) = -48765*f**2. Let r(s) = 5*s**2 + 1. Give r(o(d)). 11890126125*d**4 + 1 Let y(a) be the third derivative of -5*a**4/12 + a**3/2 + 3673*a**2. Let z(x) = -34*x**2. What is z(y(v))? -3400*v**2 + 2040*v - 306 Let a(q) be the third derivative of q**5/60 - 25*q**3/2 - 119*q**2. Let z(x) be the first derivative of a(x). Let g(l) = -71*l**2 - 2. What is z(g(k))? -142*k**2 - 4 Let y(u) = 16*u - 113. Let l be y(10). Suppose 5*s - 83 - 27 = 0. Let j(i) = s*i - l*i + 6*i**2 + 26*i. Let z(h) = h. Give j(z(v)). 6*v**2 + v Let q(c) = -11*c. Let s(t) = -11*t**2 + 30. Let h(m) = 58*m**2 - 151. Let g(a) = 2*h(a) + 11*s(a). Let z(j) be the first derivative of g(j). Calculate q(z(d)). 110*d Let t(q) be the third derivative of q**5/60 - 274*q**2. Let o(l) be the second derivative of 2*l + 0*l**2 + 0 + 3/4*l**4 + 0*l**3. Give t(o(f)). 81*f**4 Let s(v) = -7904*v. Let r(o) = 30716*o. Give r(s(x)). -242779264*x Let k(h) = -15*h**2 - 213 - 4*h**2 + 43*h**2 - 22*h**2. Let w(g) = 2*g. Determine w(k(c)). 4*c**2 - 426 Let a(d) = 26069*d - 112. Let m(v) = -3*v. What is m(a(t))? -78207*t + 336 Let v(m) be the third derivative of m**4/8 - 3*m**2 - m + 16. Let s(i) = 4599*i**2. Determine s(v(f)). 41391*f**2 Let j(z) = -2*z. Let o(m) = -436697*m + 1. Determine o(j(v)). 873394*v + 1 Let z(c) = -18*c**2 + 40*c**2 - 24*c**2. Let a be (-7)/((-28)/24)*1. Let g(s) = -4*s**2 - a*s + 11*s - 5*s. Calculate g(z(m)). -16*m**4 Let o be (11 + (-329)/28)/(3/(-28)). Let u(d) = 17*d + o*d - 27*d. Let x(a) = -a**2 + a. Let s(r) = -6*r**2 + r. Let f(q) = s(q) - x(q). Calculate u(f(y)). 15*y**2 Let q(i) = i**2 - 3*i**2 - i**2. Let z(u) be the third derivative of -u**5/60 + 49*u**3/6 - 25013*u**2. Give q(z(f)). -3*f**4 + 294*f**2 - 7203 Let w(p) = 44*p - 18*p - 19*p - 4*p - 4*p. Let s(m) be the first derivative of -61*m**2 + 2*m - 1. Give s(w(z)). 122*z + 2 Let y(h) = 11*h - 197*h**2 + 64*h**2 - 3*h + 63*h**2 + 62*h**2. Let t(p) = -p. Give y(t(f)). -8*f**2 - 8*f Let c(u) = 9*u. Let b(z) = 115*z - 32. Let p(h) = 39*h - 12. Let s(l) = 3*b(l) - 8*p(l). Determine s(c(m)). 297*m Let g(s) be the third derivative of s**4/24 - 17*s**3/2 + 17*s**2 + 11. Let f(b) = -2*b**2. What is g(f(c))? -2*c**2 - 51 Let j(r) = 3*r**2. Let a(n) = -12445547*n. What is j(a(m))? 464674920387627*m**2 Let f(h) = -2*h**2 - 474578*h + 1. Let x(t) = -48*t**2. Determine f(x(u)). -4608*u**4 + 22779744*u**2 + 1 Let u(x) = 13*x + 2*x**2 - x**2 + 4*x**2 - 4*x**2. Let s(h) = -h + 1784 - 877 - 907. Give u(s(d)). d**2 - 13*d Let i(s) = 115342827*s. Let d(c) = -3*c. What is i(d(g))? -346028481*g Let d(o) = 16*o**2. Let q(w) = 4078443*w. What is d(q(k))? 266139156867984*k**2 Let f be (-5)/(30/(-4))*3. Let l(v) = 0*v**2 + 11*v**2 + 5*v**f + v**2. Let i(w) be the first derivative of -2*w**3/3 + 55. Give l(i(p)). 68*p**4 Let p(c) = -3*c**2. Suppose 2 = -2*x + 6. Let l be 16/40 + (-40)/(-25). Let g(d) = -l*d**x + 34 - 34. Determine g(p(r)). -18*r**4 Let t(d) = 142*d - 2. Let j(f) = -3*f + 325. Give j(t(k)). -426*k + 331 Let m be 8/(-2) - (4 + -4 + -3). Let z be -24*(0 + m/2). Let f(y) = 11*y**2 - 22*y**2 + z*y**2. Let g(i) = 66*i**2. Give g(f(n)). 66*n**4 Let o(w) = w**2. Suppose -3*s + 2*x - 13 = -92, 107 = 4*s - 3*x. Suppose s - 3 = 5*h. Let y(g) = h*g - 10*g + 0*g. Determine y(o(p)). -6*p**2 Let s(t) = -6*t. Let g(k) = 4*k**2 - k + 2. Let a(j) = 5*j**2 - 3*j + 3. Let r(f) = 4*a(f) - 6*g(f). Give s(r(w)). 24*w**2 + 36*w Let f(d) = -4*d**2. Suppose -31*u + 20300 - 832 = 0. Let w(x) = 629*x - 1258*x + u*x. Calculate f(w(k)). -4*k**2 Let z(w) = -48010780*w**2. Let g(v) = v**2. Determine z(g(h)). -48010780*h**4 Let s(v) = -5*v. Let j = -133 - -139. Let a(t) = -20*t + 11*t + j*t + 10*t. Calculate s(a(g)). -35*g Let s(n) = 2*n. Let m(u) = -406*u + 10556. Let f be m(26). Let l(b) be the second derivative of 0 + 0*b**2 + f*b**3 - 17*b + 2/3*b**4. What is s(l(r))? 16*r**2 Let d(s) = 39*s - 33 + 20 + 31*s + s**2 + 3*s - 28*s. Let p(f) = -2*f. Calculate p(d(k)). -2*k**2 - 90*k + 26 Let s(d) = 3*d + 139. Let h(f) = 36*f - 163*f + 36*f + 44*f + 46*f. Give s(h(l)). -3*l + 139 Let u(f) = 2*f + 54. Let c be u(19). Let r = c + -39. Let o(i) = -106*i + r*i + 52*i. Let b(m) = -6*m - 2. Calculate b(o(n)). 6*n - 2 Let u(g) be the third derivative of 2*g**2 + 13/12*g**4 + 1 + 0*g**3 + 0*g. Let v(f) = -6*f. Calculate u(v(j)). -156*j Let o(u) = -2468*u. Let i(t) = -17*t + 170. Determine i(o(f)). 41956*f + 170 Let b(s) = 2*s + 8. Let w(j) = 8*j + 34. Let c(v) = -17*b(v) + 4*w(v). Let d(f) = -3797*f**2. What is c(d(r))? 7594*r**2 Let q(o) be the first derivative of 11*o**2 + 12*o + 3477. Let k(h) = 4*h**2. Give k(q(s)). 1936*s**2 + 2112*s + 576 Let y(f) = 17*f. Let m(k) = -461 + 460 + 3*k + 28*k. Calculate m(y(u)). 527*u - 1 Let t(v) = 43*v**2 - 2. Let c(h) = 185*h + 700. Let u(q) = 21*q + 80. Let y(g) = -4*c(g) + 35*u(g). Calculate y(t(k)). -215*k**2 + 10 Let r(q) = 2*q**2 + 895. Let m(t) be the first derivative of t**3/3 - 826. Determine m(r(d)). 4*d**4 + 3580*d**2 + 801025 Let d(l) = l**2 - 50256*l. Let p(a) = -60*a. What is d(p(v))? 3600*v**2 + 3015360*v Let c(m) = 2*m. Let h(d) = 5087615*d**2 - 5. Calculate c(h(q)). 10175230*q**2 - 10 Let y(f) = 7*f**2. Let r(l) be the second derivative of 5*l**4/4 + l**2/2 + 982*l. Determine y(r(k)). 1575*k**4 + 210*k**2 + 7 Let p = 15665 + -15665. Let c(k) be the third derivative of 0*k**3 - 13/24*k**4 + 0 + p*k - 29*k**2. Let z(u) = -2*u**2. Calculate z(c(v)). -338*v**2 Let b(c) = -1077*c. Let a(l) = -3*l**2 + 21*l. Determine a(b(m)). -3479787*m**2 - 22617*m Let r(f) = 16218*f. Let a(w) = 380*w. What is r(a(y))? 6162840*y Suppose 2*s - 26 = -3*l, l + 3*s = -4*l + 44. Let i be 2/(-6) - (l/6 + -4). Let m(r) = 71 - r**i - r**2 - 71. Let d(u) = 4*u**2. Give d(m(h)). 16*h**4 Let l be (1/(-2))/((-2)/16). Let t(i) = -l + 442*i - 444*i + 4. Let f(s) = -s - 15. Determine t(f(m)). 2*m + 30 Let r(l) be the second derivative of 0*l**2 + 0 - 5*l + 1/3*l**3. Let h(z) = 2*z**2 - 21*z - 13*z + 42*z - 8*z. Calculate h(r(y)). 8*y**2 Let f(x) = 13*x**2. Let h(i) be the first derivative of 2*i**5/15 - 107*i**2/2 - 193. Let d(j) be the second derivative of h(j). Give f(d(v)). 832*v**4 Let x(v) = 6112539*v. Let w(d) = 104*d. What is x(w(c))? 635704056*c Let v(u) be the second derivative of u**3/6 - 11*u**2 - 1727*u + 2. Let j(i) = 3*i - 1. What is j(v(a))? 3*a - 67 Let n(j) = -124 + 124 - 41*j + 55*j - 38*j. Let k(a) = -2*a**2 - a**2 + 5*a**2 + a**2. Calculate k(n(o)). 1728*o**2 Let i(m) = -227756*m. Let o(k) = 145*k**2. Give o(i(w)). 7521555352720*w**2 Let n(l) = -29*l. Suppose 5*r + 3 + 2 = 0, 2*r = -2*y. Let j(w) = w. Let o(a) = y*n(a) - 2*j(a). Let v(c) = 45 - 32 - 3*c + 5*c - 13. Determine o(v(k)). -62*k Let v(k) = 6*k**2 - 8*k**2 - 891*k + 891*k. Let h(y) = 2004*y. Calculate v(h(s)). -8032032*s**2 Let r(n) = -2*n - 17. Let h(x) be the second derivative of -x**6/360 + 4*x**4/3 + 90*x. Let m(s) be the third derivative of h(s). Give r(m(t)). 4*t - 17 Let b(m) = m - 1. Let c(k) = 5*k - 4. Let y(j) = -4*b(j) + c(j). Let w(n) = 5*n - 5*n - 8 - 1 - 3 + 7*n + 17. Calculate y(w(f)). 7*f + 5 Let i(h) = -122183*h. Let v(m) = 24*m - 3. What is i(v(t))? -2932392*t + 366549 Suppose 10*s = -33 - 17. Let y(q) = -11*q + 10. Let f(m) = -12*m + 12. Let g(c) = s*f(c) + 6*y(c). Let n(j) = 2*j**2. Determine n(g(l)). 72*l**2 Let w(l) = -45*l - 23539. Let r(b) = 32*b. What is w(r(z))? -1440*z - 23539 Let d(k) = 65*k. Let f be ((5 - 6) + -6)*(-8)/7. Let r(w) = f*w - 16*w + 6*w. Give d(r(z)). -130*z Let t(l) = 41 + 4*l - 14*l**2 + 8*l**2 - 41. Let i(q) be the third derivative of -q**4/24 - 16*q**2. Calculate t(i(v)). -6*v**2 - 4*v Let v(w) = -w**2. Let t(z) = z + 2. Let u(y) = 108*y -
{ "pile_set_name": "DM Mathematics" }
its digit of (-4)/(-3)*(-15)/f? 0 Let u = 4 - 0. Let x = -11 - -18. Suppose 4*c + 2*q - 3 = 11, -5*q = -u*c + x. What is the units digit of c? 3 What is the tens digit of 4/((-125)/130 + 1)? 0 Suppose -5*x - 4*w = -1068 + 4, 0 = -4*x - 3*w + 852. What is the hundreds digit of x? 2 Let t = -10 - -22. What is the tens digit of t? 1 Let q(n) = 6 + 4 + 2*n - 3*n**3 + 4*n**3 + 8*n**2. What is the tens digit of q(-7)? 4 Let d = 34 - -32. What is the units digit of d? 6 What is the hundreds digit of 451/2 + (-2)/(-4)? 2 Let a = -89 + 178. Let q = 130 - a. What is the units digit of q? 1 Let l(q) = 62*q - 14. What is the tens digit of l(3)? 7 What is the units digit of 8/2 - (-75)/3? 9 Let b be (-54)/(-3) + -3 + 1. Let p = 33 - b. What is the units digit of p? 7 Let r(z) = -z**3 + 2*z**2 + 11*z - 2. Let j(w) = -2*w**3 + 4*w**2 + 23*w - 3. Let b(v) = 4*j(v) - 9*r(v). What is the units digit of b(4)? 0 Let r(n) = -n**2 - 10*n + 6. Let k be r(-10). Suppose -2*o + k = -o. What is the units digit of o? 6 Let z = 0 - -2. Let w = z + -4. Let y = 0 - w. What is the units digit of y? 2 Let l(k) = 4*k**3 + 2*k**2 - 1. Let j be l(1). Suppose 2*a - a - 7 = -h, 11 = -3*h + j*a. What is the units digit of h? 3 Suppose u = -0*u + 2. Suppose -u*z = 2*z - 4. What is the units digit of z? 1 Suppose 2*l + 0*l - 240 = 0. What is the hundreds digit of l? 1 Let l be 0/(0 + -3 + 1). Suppose 5*y - 3*p = 2*y + 18, -y + 5*p + 10 = l. Suppose 2*d - 14 = 4*b - 0, y*d + 2*b - 23 = 0. What is the units digit of d? 5 Let r be 1 + -2 - 3 - -3. Let g be (-2)/r + (-12)/(-6). Suppose -2*a - 8 = 0, -g*a - 56 = -2*i - 12. What is the units digit of i? 4 Let t be (-7 + 12)*3/(-1). Let v = 6 - t. What is the tens digit of v? 2 Suppose -3*q + 78 = -5*j - 27, -2*q + 68 = -4*j. What is the units digit of q? 0 Let u(l) = l**2 - 5*l + 4. Let v be u(5). Suppose -v = -k + 4*y - 2, 5*k = y + 10. What is the units digit of k? 2 Let w(j) = -j + 8. Let u be 0 - (3/(-1) + 2). Suppose -s = -5 - u. What is the units digit of w(s)? 2 Let s = 3 - -51. What is the units digit of s? 4 Let o(r) = r**2 - 2*r - 3. Let i be o(3). Suppose 0 = -y - 2*y + 2*s - 11, 4*y - s = -13. Let f = i - y. What is the units digit of f? 3 Let o be -1*((-6)/3 - -6). Let l(b) = 2*b + 3. Let m(d) = -1. Let k(q) = -l(q) + 2*m(q). What is the units digit of k(o)? 3 Let d(y) = -3*y**3 - 1. Let p be d(-1). Let f be (-12)/(-2 + -1) - p. Suppose 2*w - 10 = -2*h, -f*h = -0*w + 3*w - 19. What is the units digit of w? 9 Let q(x) be the third derivative of -x**4/24 - 4*x**3/3 - 7*x**2. What is the units digit of q(-12)? 4 Suppose -3*y = 2*x + 34, 4*y = 4*x - x - 51. Let u(s) = -2405 - 11*s**2 + 15*s - s**3 - 4*s + 2411. What is the units digit of u(y)? 8 Let b = -8 + 16. Suppose -2*w + 4*w + b = 0. Let s = 13 + w. What is the units digit of s? 9 Let b be (40/(-15))/((-6)/243). Let m = b + -66. What is the units digit of m? 2 Suppose 4*u + 37 = j + 593, 4*j = 5*u - 684. What is the tens digit of u? 4 Suppose -5*v + 13*v - 744 = 0. What is the tens digit of v? 9 Suppose -4*n = 4*y - 3*n + 116, 5*y + 154 = n. What is the tens digit of -1*4 - (y - -8)? 1 Suppose 0 = 5*w + 5*d + 5, 4*w + 0*w - 11 = -d. Let f(o) = 4*o - 5. Let b be f(w). Suppose -11 = -3*r + t + b, -r = -3*t + 6. What is the units digit of r? 9 Suppose 3*z + 12 = 4*z. What is the units digit of z? 2 Let r(n) = -4*n**3 + 2*n**2 - 1. Let a be r(1). What is the tens digit of -14*((-18)/4 - a)? 2 Suppose 5*p - 210 = -20. What is the units digit of p? 8 Suppose 2*i + 198 = 5*p - 2*i, 4*p + 5*i = 183. Suppose -75 = -2*d - 3*w + 6*w, 3*d + 5*w - 84 = 0. What is the units digit of 6/d - p/(-11)? 4 Let u(k) = -k**3 - 4*k**2 - 2*k + 1. Let s be u(-2). Let f = 5 - s. Suppose -f - 12 = -2*o. What is the units digit of o? 0 Let u(a) = a**2 - 1 - a - 2*a + 3. Let b be u(4). What is the units digit of (2 - -3) + b/(-3)? 3 Suppose -18*g - 436 = -20*g. What is the hundreds digit of g? 2 Let s be ((-2)/6)/((-1)/(-3)). Let p = 10 + -30. What is the units digit of s/(-3) + p/(-3)? 7 Let w be 15*7/((-70)/(-4)). What is the units digit of ((-4)/w)/(10/(-15))? 1 Suppose -4*t = -7 - 1. Let l(m) = 4*m**2 + t*m**2 - 4*m + m**2 - 3*m**2 + 7 + m**3. What is the units digit of l(-5)? 2 Suppose 709 + 635 = 12*d. What is the tens digit of d? 1 Suppose -3*j + 92 = j + 2*v, -59 = -3*j - 4*v. What is the tens digit of j? 2 Suppose -1 = -d - 0*d. What is the units digit of d? 1 Let n(t) = -t**3 - 7*t**2 - 8*t. Let a be n(-6). Let d = a - -14. What is the tens digit of d? 2 Let n be -10 - -8 - -4*1. What is the units digit of n - (-5)/((-10)/(-32))? 8 Let v(g) = g**3 - 5*g**2 - 10*g. Suppose 3*b + 3 = 24. Let y be v(b). What is the units digit of y/(-12)*(-1 - 2)? 7 Suppose 0 = -3*p + 56 - 11. What is the units digit of p? 5 Suppose 3*v - 1 - 157 = 5*z, 5*v = -z + 226. Suppose 14 - v = -2*n. What is the units digit of n? 6 Suppose -2 + 0 = 2*k. Let x = k - -3. What is the units digit of x? 2 Suppose 0 = -2*i + 3*w + 23 - 0, -i - 5*w - 21 = 0. What is the units digit of i? 4 What is the units digit of ((-635)/(-25) + -6)/((-2)/(-10))? 7 What is the units digit of (18/6 - (-43)/(-3))*-9? 2 Suppose 58*b - 420 = 55*b. What is the hundreds digit of b? 1 Let f be ((56/(-7))/2)/((-1)/5). Let r be 24/(-2) + (0 - -2). Let d = f + r. What is the units digit of d? 0 Let d(c) = 4*c. Let q be d(5). Suppose 0 = 5*g + 3*i - q, 4*g + 3*i - 4 = 3*g. Suppose -t + 4*l + 30 = 0, -g*l - 34 - 38 = -4*t. What is the units digit of t? 4 Let i(b) = b**2 - 6*b - 5. Let v be i(7). Suppose -1 - 9 = -v*x. Suppose 18 = x*q + 3*h, 4*q - 1 = 5*h + 6. What is the units digit of q? 3 Let k = -6 + 18. Let q = k + -5. What is the units digit of q? 7 Let u(g) = 3*g**2 + 4*g + 2. Let f be u(-2). Let x be (-2)/(-1)*(-57)/(-6). Let k = x - f. What is the units digit of k? 3 Let u be 4/(-6)*15/(-5). Suppose 39 = 5*w + u*g, -2*g + 33 = 5*w + 2*g. What is the units digit of (w/(-6))/(4/(-56))? 1 Let b(c) = c**2 + c - 4. Let t(a) = 2*a**3 + a**2. Let l be t(1). Suppose l*p = -12, 4*p + 1 = -w + 3*p. What is the units digit of b(w)? 8 Suppose -19 + 0 = -4*f - 3*w, 0 = -3*f - 3*w + 15. Suppose -l - 47 = -b - 19, 0 = -f*b - 3*l + 119. What is the units digit of b? 9 Let m(b) = b**3 - 4*b**2 + 3*b + 2. Let a be m(3). What is the units digit of (-3 + 53)*a/4? 5 Let b = 7 + -4. Suppose -v = -n - 17, -2*n = 3*n - b*v + 75. Let w = n - -27. What is the tens digit of w? 1 Suppose 2*c = 9*c - 1169. What is the tens digit of c? 6 Let f(i) = -i**2 - 2*i + 1. Let y be f(-2). Let v be 44/(-2) - 32/((-16)/2). What is the units digit of (-81)/v*(y + 1)? 9 Let z(i) = -2*i**2 + 2*i**3 + 3*i**2 - 3*i**2 + i - 1. Let u be ((-12)/8)/(3/(-4)). What is the units digit of z(u)? 9 Suppose 0 = -3*n + 4*n - 1. Let o = 2 - n. What is the units digit of o? 1 Suppose -b + 16 = 2*j - 7*j, b + j = -2. Suppose -29 = -5*l + b. Suppose -p - 10 = -l*p. What is the units digit of p? 2 Let c = 0 - 3. Let o = -2 + 7. What is the units digit of o*(-1 - c)/2? 5 What is the tens digit of (-310 - -7)*(-1)/(-1 + 4)? 0 Suppose 7 = -2*q + 5*q + 4*o, 4*q - 16 = -4*o. Let d = q + -5. What is the units digit of 30/d*(-6)/(-5)? 9 Let g(t) = -3*t**2 - 5*t. Let f(b) = 16*b**2 + 25*b + 1. Let z(n) = -2*f(n) - 11*g(n). What is the units digit of z(-6)? 4 Let j(l) = -19*l**2 + 2*l - 1. Let u be j(-2). What is the units digit of u/(-15) - (-2)/(-5)? 5 Let x(w) = -w**2 + 13*w - 8. What is the tens digit of x(10)? 2 Let l(o) = o + 23. Let j be (-6)/33 + (-6)/(-33). Suppose -2*s - 11 - 11 = j. What is the tens digit of l(s)? 1 Let p(z) = -z**3 - 3*z**2 + z + 3. Let y be p(-3). Let u = 0 - y. Suppose -4*c + u*c = -2*r + 4, -5*r - 3*c + 36 = 0. What is the units digit of r? 6 Let y(j) = -5*j**3 - 3*j**2 - 10*j + 6. Let b(z) = z**3 + z. Let x(i) = 6*b(i) + y(i). What is the units digit of x(4)? 6 Let g(y) = -y**3 - 2*y**2 + 5*y + 2. What is the tens digit of g(-4)? 1 Let s = 78 + -54. Let o be (-12)/(0 - 2/(-2)). Let x = o + s. What is the tens digit of x? 1 Let k(t) = -2*t + 2*t - 7 - 2*t. Suppose 3*p = -5*h - 0*p - 31, -p + 35 = -4*h. What is the units digit of k(h)? 9 Suppose -52 = 2*w - 6*w. What is the units digit of w? 3 Let p(t) = t**2 - 4*t + 4. Let c be p(7). Let u = c - 15. What is the units digit of u?
{ "pile_set_name": "DM Mathematics" }
culate prob of sequence mn when two letters picked without replacement from {m: 1, n: 6, g: 10}. 3/136 Four letters picked without replacement from yppphjhjnydhhppyjnph. What is prob of sequence jyjj? 1/6460 Calculate prob of sequence kbub when four letters picked without replacement from bkdfvuubuudkdd. 2/3003 Calculate prob of sequence xrx when three letters picked without replacement from {r: 4, x: 6}. 1/6 Three letters picked without replacement from vvvvvvvvvlvvll. Give prob of sequence lvv. 55/364 Four letters picked without replacement from iwicwycaxaicwia. What is prob of sequence cacx? 1/1820 Four letters picked without replacement from {s: 2, w: 1, a: 4, b: 1, g: 1, l: 3}. What is prob of sequence gbls? 1/1980 Three letters picked without replacement from {k: 4, n: 3, p: 1, f: 1, g: 1, r: 4}. What is prob of sequence pfg? 1/2184 What is prob of sequence cd when two letters picked without replacement from {d: 11, c: 3}? 33/182 Two letters picked without replacement from lnklldd. Give prob of sequence nl. 1/14 Calculate prob of sequence rq when two letters picked without replacement from rrrqrrrrrrrqqrr. 6/35 Four letters picked without replacement from {f: 4, p: 4, b: 5, m: 2}. Give prob of sequence pbpm. 1/273 Three letters picked without replacement from uplhlpnlmlphpun. What is prob of sequence nmh? 2/1365 Three letters picked without replacement from rqmmj. What is prob of sequence mmq? 1/30 What is prob of sequence onl when three letters picked without replacement from {l: 1, n: 1, o: 1, b: 3, q: 1}? 1/210 Calculate prob of sequence pp when two letters picked without replacement from mmppppmmppp. 21/55 Three letters picked without replacement from hjxjjxhxijjxjjjjhjj. Give prob of sequence xhi. 2/969 Three letters picked without replacement from {y: 1, n: 1, s: 4, d: 2, q: 1}. What is prob of sequence dns? 1/63 Two letters picked without replacement from {r: 6, h: 12}. What is prob of sequence hh? 22/51 Four letters picked without replacement from {k: 6, q: 5, y: 4}. Give prob of sequence yqkk. 5/273 Four letters picked without replacement from {q: 1, p: 3, z: 1, g: 3, r: 2}. What is prob of sequence prrq? 1/840 Calculate prob of sequence lttv when four letters picked without replacement from ttttotottvltttovtto. 11/3876 What is prob of sequence fefe when four letters picked without replacement from eeff? 1/6 What is prob of sequence zj when two letters picked without replacement from {j: 1, z: 2, l: 1, e: 1}? 1/10 What is prob of sequence sk when two letters picked without replacement from {k: 3, s: 12}? 6/35 What is prob of sequence hjg when three letters picked without replacement from {h: 3, j: 3, e: 3, g: 2, s: 2, o: 1}? 3/364 What is prob of sequence yoy when three letters picked without replacement from ooyyooooyoyoyooooo? 65/1224 What is prob of sequence gg when two letters picked without replacement from orgbwbegeegoegr? 2/35 Three letters picked without replacement from {j: 1, k: 1, g: 1, s: 2}. What is prob of sequence skj? 1/30 Calculate prob of sequence yzy when three letters picked without replacement from {z: 7, y: 9}. 3/20 Calculate prob of sequence dwu when three letters picked without replacement from {w: 3, l: 3, v: 2, u: 7, d: 5}. 7/456 Four letters picked without replacement from ditttioodooododadd. Give prob of sequence ttti. 1/6120 Calculate prob of sequence aa when two letters picked without replacement from zzazzzzzza. 1/45 Three letters picked without replacement from jrlqsls. What is prob of sequence lqj? 1/105 Two letters picked without replacement from krrnmnrkknkkm. What is prob of sequence rk? 5/52 What is prob of sequence slk when three letters picked without replacement from klllslslll? 7/360 Three letters picked without replacement from aabbbbbabbabbaaabzj. What is prob of sequence bza? 35/2907 Two letters picked without replacement from hvhvvvhhhvhypyddy. What is prob of sequence hp? 3/136 Three letters picked without replacement from {s: 4, b: 2}. What is prob of sequence sss? 1/5 What is prob of sequence xu when two letters picked without replacement from {x: 2, u: 4, c: 5}? 4/55 Two letters picked without replacement from oacojozuujuc. Give prob of sequence ju. 1/22 What is prob of sequence re when two letters picked without replacement from ssrsrjersssesn? 3/91 Two letters picked without replacement from lwl. What is prob of sequence ll? 1/3 Two letters picked without replacement from kdddkdd. What is prob of sequence kd? 5/21 What is prob of sequence kv when two letters picked without replacement from nvski? 1/20 What is prob of sequence ait when three letters picked without replacement from {e: 1, w: 1, t: 2, i: 1, a: 1, g: 1}? 1/105 Four letters picked without replacement from {j: 1, c: 2, z: 4, w: 5, u: 4}. Give prob of sequence wujw. 1/546 Calculate prob of sequence dfhh when four letters picked without replacement from tfhhdfhcdh. 1/105 Three letters picked without replacement from bbppbb. Give prob of sequence pbp. 1/15 Two letters picked without replacement from altaataaaadt. Give prob of sequence lt. 1/44 What is prob of sequence lwp when three letters picked without replacement from {l: 2, p: 6, w: 5}? 5/143 What is prob of sequence rr when two letters picked without replacement from yryysyyoyyrooosyyyoo? 1/190 What is prob of sequence vaai when four letters picked without replacement from iileaapaieiivla? 1/546 Two letters picked without replacement from ffpyffyyfymmpypfyp. Give prob of sequence mf. 2/51 Two letters picked without replacement from jqccjcqqcqqjqj. What is prob of sequence jc? 8/91 Two letters picked without replacement from cjj. What is prob of sequence cj? 1/3 Four letters picked without replacement from {p: 5, a: 1, d: 5}. Give prob of sequence dadd. 1/132 What is prob of sequence kcc when three letters picked without replacement from mmckmkcmkkkkmmm? 2/455 Two letters picked without replacement from {f: 14, v: 1}. What is prob of sequence vf? 1/15 Two letters picked without replacement from {m: 1, g: 2, q: 1}. Give prob of sequence qg. 1/6 What is prob of sequence jr when two letters picked without replacement from ddsjrddkjr? 2/45 Two letters picked without replacement from wwgwwwwax. Give prob of sequence ww. 5/12 Three letters picked without replacement from {l: 1, m: 2, r: 2, o: 4}. What is prob of sequence mlr? 1/126 Calculate prob of sequence rnn when three letters picked without replacement from nnrrn. 1/5 What is prob of sequence vvh when three letters picked without replacement from hhvvvvvhvhvvvhhvvhv? 154/969 Four letters picked without replacement from {o: 4, g: 1, l: 4, t: 1, r: 1}. What is prob of sequence ooot? 1/330 Four letters picked without replacement from dlgydgggpgdgg. Give prob of sequence ypdl. 1/5720 Four letters picked without replacement from {l: 2, u: 3, r: 5}. Give prob of sequence ullr. 1/168 Calculate prob of sequence nppo when four letters picked without replacement from jnpxooonoxpoppnoooo. 9/2584 Three letters picked without replacement from aaaaawaaaaaaawwwaaa. What is prob of sequence wwa? 10/323 Three letters picked without replacement from {n: 9, l: 4, o: 2, k: 4}. What is prob of sequence noo? 1/323 Three letters picked without replacement from {p: 2, q: 5, b: 2, j: 1, t: 1, k: 2}. Give prob of sequence tqq. 5/429 Three letters picked without replacement from iawwffwwfwiwa. What is prob of sequence iiw? 1/143 Two letters picked without replacement from vmwmqmw. What is prob of sequence ww? 1/21 What is prob of sequence pp when two letters picked without replacement from {q: 1, p: 2, l: 1}? 1/6 What is prob of sequence yh when two letters picked without replacement from {h: 1, t: 1, j: 3, y: 3, z: 2}? 1/30 Four letters picked without replacement from {q: 2, b: 10}. What is prob of sequence qbbb? 4/33 What is prob of sequence xx when two letters picked without replacement from cxcccxxjxccccj? 6/91 What is prob of sequence pys when three letters picked without replacement from yspssspsszy? 4/165 Two letters picked without replacement from hxzzmmmzhmvxzvmhhmmz. Give prob of sequence mm. 21/190 Calculate prob of sequence pqqq when four letters picked without replacement from qqpqqqqqqqqqq. 1/13 Calculate prob of sequence kf
{ "pile_set_name": "DM Mathematics" }
k**3 - 9*k**2 + 6*k + 17. Let o be p(8). Is (o - 2292/8)*-2 prime? True Let r = 2935 - 1999. Suppose 11*y - r = 8*y. Suppose -4*h + y = -452. Is h prime? True Let h = -101 - -103. Suppose -1803 = -p - 5*c - 323, h*p = -2*c + 2936. Is p composite? True Let m(s) = 48*s - 7. Let v be m(3). Suppose 4*f - 1011 = v. Is f composite? True Let x = -3614 - -7225. Is x prime? False Let n = 42 + -42. Suppose n = -3*o + 14*o - 11099. Is o a composite number? False Let o(k) = 455*k + 3. Let w be o(3). Suppose 2*z = -2*z + w. Suppose -2*x + 104 + z = 0. Is x a prime number? True Let j(n) = 7*n**2 + n + 11. Let w = 12 - 17. Is j(w) composite? False Let d = 828 + 7313. Is d a composite number? True Let j(f) = 4*f**2 + 7*f + 3. Let u(w) = -11*w**2 - 20*w - 8. Let n(i) = -8*j(i) - 3*u(i). Let o be n(-4). Suppose -4*c - 22 + 82 = o. Is c prime? False Is (-72590)/(-17) - 2*2/(-4) prime? True Suppose -23588 = -5*l + 3*i, -1600 = -2*l + 2*i + 7836. Is l a composite number? True Is ((-6421)/(-3))/((-9)/(-54)) a prime number? False Let b(p) = -15*p**2 - 11*p + 5. Let y(s) = -15*s**2 - 12*s + 6. Let l(d) = -5*b(d) + 4*y(d). Let t(f) be the first derivative of l(f). Is t(4) composite? False Let v(d) = 4*d**2 - 20*d - 89. Is v(-9) composite? True Suppose a + 4*f - f = 215, -685 = -3*a - f. Let s be (-2)/(1 - 26/24). Suppose -a = -2*k + s. Is k a prime number? True Let u(m) be the third derivative of -25*m**4/24 - m**3/6 + 8*m**2. Is u(-8) a composite number? False Suppose 7*r = 2*r + 20, 3*t - 4*r = -10. Suppose 3*v - 8 = t*n - v, -4*v + 28 = 3*n. Suppose 0 = -3*l - 1 + n, 4*y + 3*l - 751 = 0. Is y a composite number? True Let q = 6101 + -1212. Is q composite? False Let o = -2 + 8. Suppose -6*n + 3*n = -o. Is n/(-6) - (-1278)/27 prime? True Suppose 4*f - 3944 = -n + 7*f, f = 1. Is n a composite number? False Let d = -5581 + 18714. Is d composite? True Suppose 371 = -3*l - 4*v, v = -3*l + 90 - 446. Let i = -30 - l. Is (-6)/((-1)/(i/6)) composite? True Suppose 5*j = -4*o + 1609, -2*o + 296 + 510 = 2*j. Let a(g) = g**2 + 6*g + 7. Let z be a(-5). Suppose v - 205 = 4*d, -z*v = -7*d + 3*d - o. Is v a prime number? False Let z(d) = -11*d**3 + d**2 - d - 2. Let w be z(-2). Suppose -29 = -30*y + 31. Suppose g = -3*g + 2*u + 190, -2*g - y*u = -w. Is g composite? False Suppose p - 5 = 0, -8*p = 2*y - 5*p + 193. Let d = y + 483. Is d a composite number? False Let h = -38498 + 58680. Is h a prime number? False Let b(l) = -6*l - 58. Let a be b(-10). Suppose 0 = 5*c - 3*c - 3*k - 478, -3*c - a*k + 717 = 0. Is c a prime number? True Suppose -5*c - 12 = -c, -4*h + 59 = -c. Let f be 3*2*7/h. Suppose -8*u + 575 = -f*u. Is u a composite number? True Let v(x) = -x - 10. Let f be v(4). Let a = -16 - f. Is (5180/40)/(a/(-4)) prime? False Is 1639/(((-24)/(-3))/8) a composite number? True Suppose 3*d + 4*z + 2 = 3, 0 = 5*z + 10. Suppose 5*i - i - 2*h = 70, -2*i - d*h + 55 = 0. Let l = i + 57. Is l a composite number? True Let d(l) be the second derivative of 3*l**5/5 + l**4/4 - l**3/6 - 6*l. Is d(1) a composite number? True Suppose 4*w = -0*w. Suppose w = 12*d - 10*d - 720. Suppose l = -f - 110 + d, 5*f = -4*l + 999. Is l a composite number? False Suppose v = -3*v. Suppose 3*w - 20 = -w, v = -4*b + 2*w + 2202. Is b a composite number? True Let j(m) be the first derivative of -m**4/4 - 2*m**3/3 - 7*m**2/2 - 5*m + 2. Suppose -2*s - 4 = -s. Is j(s) a prime number? False Suppose -57 = 4*h + 171. Let x = h + 18. Is ((-148)/12)/(1/x) composite? True Let z be (-1 - -2)/(-2)*8. Is -6 + 6 + z - -331 a prime number? False Suppose -5*h - 221 = -0*y + 3*y, -h - 35 = -4*y. Is -4 + h/(-2)*(3 - -7) composite? False Let r(n) = -n**3 - 11*n**2 + 11*n - 4. Suppose m + 3*u = 3, u = -m + 6*u - 37. Let x be r(m). Is (-2)/x + (-788)/(-16) a prime number? False Let p = -735 + 1576. Is p prime? False Suppose 2143 + 5733 = 4*i. Is i prime? False Suppose a + 2*s = -3*a, 5*a = 3*s. Suppose 4*x + 3*f = 1331, x + 2*f - f - 334 = a. Is x prime? False Let j be ((-4)/1)/(-4) - -2. Suppose l = -3*u - l + 159, 106 = 2*u + j*l. Is u composite? False Let h(x) = 1204*x**3 + x. Let i(g) = 3*g + 5. Let j be i(-2). Let s be h(j). Let l = -758 - s. Is l a composite number? True Let h(p) = p**2 - 4*p + 2. Let r(g) = -g**2 + 5*g + 8. Let x be r(6). Let u be h(x). Is -2*(-1)/u*-863 prime? True Suppose -m + 4 = -0*m. Suppose m*h - 3662 = -2*c, 2*c + 917 = h - 6. Is h a composite number? True Let x(o) be the third derivative of o**4/8 + 2*o**3/3 - 2*o**2. Suppose 5*g - 12*g = -70. Is x(g) composite? True Let j = -33 - -21. Let r be ((-8)/j*6)/2. Is -2*r/(-4) + 88 composite? False Let y be (-1)/(-2) + (-201)/2. Let l = -259 - y. Let w = l - -250. Is w a composite number? True Let b = 0 - 0. Let m be b + 5/(10/438). Suppose -155 = -2*p + m. Is p prime? False Let l(j) = -10192*j**3 - 4*j**2 + 23*j + 50. Is l(-3) a prime number? True Let s = 1 + 2. Suppose -s*d + 131 + 106 = 0. Is d a prime number? True Let b = -45 - -52. Suppose -p + 297 = -2*x, -2*p - 5*x - 1490 = -b*p. Is p prime? False Let h = -24740 + 38107. Is h composite? False Let i(w) = w**3 + 18*w**2 - 5*w - 33. Suppose 2*n = h - 37, -92 = -0*n + 5*n - 2*h. Is i(n) prime? False Let g(t) = t**3 - 10*t**2 + 15*t + 8. Let i = -39 + 48. Is g(i) a composite number? True Suppose 3*u + 39413 + 107682 = g, -294154 = -2*g - 3*u. Is g composite? False Let f(m) = -20 + m - 18*m + 1. Is f(-6) a composite number? False Let l(v) = 43*v**2 + 9*v + 13. Is l(-5) composite? True Let f = -5 - -7. Suppose 1066 = 2*x + 4*u - f*u, u + 1603 = 3*x. Suppose x = 8*b - 2*b. Is b composite? False Suppose -2*x = 4*a - x - 470, 0 = -2*a + 4*x + 244. Let y = 25 + a. Is y a composite number? True Suppose j = 4*i - 3, 4*i - i - 3 = j. Is 318 - (-2 + 4 + j) a prime number? False Let t(j) be the second derivative of 143*j**3/3 - 35*j**2/2 - 17*j. Is t(7) composite? True Suppose 3*y + 4*j = -17, 0 = 2*y - 6*y - 5*j - 21. Let u(a) = 1 - 122*a + y - 17*a. Is u(-3) a prime number? True Suppose -2*y = -22526 + 7564. Is y prime? True Let p be 8 - (12/4 + -1). Suppose 2*k + p = -j + 20, k + 3*j - 17 = 0. Is (-37)/(-1) + k + -5 a composite number? False Let j(d) = 7*d**2 + 10*d - 7. Suppose 2*p - 6 = -2. Suppose p*c - 4*z = c + 16, 2*z - 36 = -5*c. Is j(c) prime? True Let m(j) = -j**2 + 16*j + 21. Let l be m(17). Suppose 869 = l*w + 153. Is w prime? True Let v(n) = 0*n**3 + n**3 + 0*n + 0 + 2*n - 8 - 6*n**2. Let z be v(6). Suppose 798 = z*a - i - 610, 0 = 4*i - 16. Is a a composite number? False Suppose 0 = -31*i + 42*i - 225247. Is i composite? False Suppose -4*q = 1 + 3. Let g be (2 - q)*1416/12. Suppose -j + 113 = -g. Is j prime? True Suppose 0 = -y - 3*f + 4, 3*y + f - 26 = -f. Suppose 447 = y*b - 7*b. Is b composite? False Let r(k) = k**3 + 5*k**2 - 7*k - 1. Let q be r(-6). Suppose -7813 = -q*i + 2*u - 4*u, 4*i = u + 6240. Is i composite? True Is 4721/1 - 0/(-5 + 2) prime? True Suppose -2*v = 2*l - 2, 4*l + 21 = 2*v + 1. Suppose v*d - 3155 = -d. Is d prime? True Suppose 3*c + 3*v - 1412 - 40 = 0, -4*v - 950 = -2*c. Suppose m = 574 - 200. Suppose -4*x + 0*h + 2*h + m = 0, -2*h = 5*x - c. Is x a prime number? False Let n(c) = -2*c - 31. Let f be n(-17). Suppose 2*b = f*j - 3643, -j - 3*j + b = -4854. Is j composite? False Suppose -25*h + 117872 + 175153 = 0. Is h a composite number? True Let g(h) = -h - 9. Let c be g(-6). Let a be c - -7*18/3. Suppose -a - 67 = -2*j. Is j composite? False Suppose 4*s - 17 = -9. Suppose 4 = -s*n + 2, 0 = -5*c + 5*n + 6060. Is c a composite number? True Suppose 0 = -8*w - 3484 + 35268. Is w prime? False Suppose v + m - 4726 = 0, 5*v - 10*m + 6*m - 23585 = 0. Is v a composite number? False Suppose 48*a - 36031 - 372017 = 0. Is a a prime number? True Let w(q) = -4*q**2 + 3 + 5*q**2 + 10 + 19. Let c be w(0). Suppose 0 = -5*h - 2*r + 169, 0*h = h + r - c. Is h a prime number? False Suppose 2*c + 3*c - 16 = 4*w, -c + 41 = -5*w. Let f(k) = 5*k**2 - 6*k + 10. Is f(w) prime? False Let j be 18/45 + 4/(-10). Suppose j = -d - 4*b - 348, 0 = -8*d + 3*d + 4*b - 1716. Let q = -57 - d. Is q prime? False Suppose -5 = 3*l - 17. Suppose -l*c - 1 = -21. Suppose -i = -c, -i + 33 = 2*v - 402. Is v prime? False Suppose -4*d + 10422 + 5910 = 0. Is d composite? True Let h(j) = -5*j**2 - 32 + 10*j + 6*j + 13 -
{ "pile_set_name": "DM Mathematics" }
+ 62 Simplify (-5*((-2*sqrt(98) + -3 - (-2 + sqrt(98) + 0))*1 + 4)*5)**2 + -3. -78750*sqrt(2) + 556872 Simplify 2*((sqrt(180) + 1 + 3 - (5 + (sqrt(180)*-1 - sqrt(180) - sqrt(180))))**2 + 1*(5*sqrt(180)*1 - sqrt(180))**2*-1). -96*sqrt(5) + 2 Simplify (-6*-5*(sqrt(95) - (sqrt(95) - -5*(sqrt(95) + (sqrt(95)*-2 - sqrt(95)) + sqrt(95)))))/(-6*((1*sqrt(605) - sqrt(605)) + sqrt(605) + sqrt(605))*2). -25*sqrt(19)/44 Simplify 1*(2*sqrt(156)*-1 + (-1*sqrt(156) - sqrt(156))*3)/((sqrt(1728) + (sqrt(1728) - (2*sqrt(1728) + sqrt(1728)))*-1 + sqrt(1728))*5). -sqrt(13)/30 Simplify sqrt(180) + (sqrt(180) - (sqrt(180) + (sqrt(180)*-2 - sqrt(180)) + sqrt(180) + 2))**2 + 4*(-1 + sqrt(180))**2 + -2 - (2 + 2 + (2*sqrt(180))**2 + -2). -90*sqrt(5) + 724 Simplify 1*(sqrt(1300) + (sqrt(325) - sqrt(13)) + 4 + sqrt(104)/(sqrt(8)*-2*-6) + 2)**2. 169*sqrt(13) + 376477/144 Simplify ((sqrt(1500)*1)/(6*sqrt(15)/sqrt(5)*6)*6)**2. 125/9 Simplify -4 + -3 + (sqrt(208) + -3 + 0 - (-3 + (sqrt(13) - sqrt(26)/sqrt(2)) - (sqrt(1300) + -1))) + -5. -13 + 14*sqrt(13) Simplify ((-4 + ((-2*sqrt(7)*-5 - sqrt(7))*-5 - ((2*sqrt(84))/sqrt(12) + -3))*-5)**2 + -1)*-4. -1547740 + 35720*sqrt(7) Simplify (((sqrt(160) + ((sqrt(160) - 2*sqrt(160)) + sqrt(160) - sqrt(160)) + sqrt(160) - sqrt(160))*-5)/(sqrt(22)/(sqrt(132)/(sqrt(72)/sqrt(6)))))**2. 0 Simplify ((sqrt(171) + 2*(sqrt(171) + (sqrt(171) - sqrt(171)*-2 - sqrt(171)) - sqrt(171)) + (sqrt(171) + 0)*-6 + sqrt(171))*3*5 + -5)**2. 25 Simplify ((sqrt(1575) + -1)*-3 + 3)**2 + (-5*3*sqrt(6300))**2 + 5. -540*sqrt(7) + 1431716 Simplify ((-4*3*sqrt(140) + sqrt(140) + sqrt(140) + sqrt(140))/(sqrt(35)/(sqrt(10)/sqrt(2))))/((-6*sqrt(120))/sqrt(12) - (sqrt(50)*-4)/sqrt(5)). 9*sqrt(2)/2 Simplify (2 + sqrt(114)/(sqrt(24)/sqrt(100)) - (sqrt(931)*-1 + -5)**2*-1) + -4. 75*sqrt(19) + 954 Simplify 3*(((sqrt(22)/sqrt(2) + sqrt(11))**2 + -3 - (sqrt(33)/(sqrt(12)/sqrt(4)) - sqrt(11))) + (2*sqrt(22))/sqrt(2)*4)*2. 48*sqrt(11) + 246 Simplify (3*sqrt(18)*2)/(-2*sqrt(900) - sqrt(9)) + -2 + sqrt(20)/(sqrt(50)/(sqrt(5) + sqrt(20)/sqrt(4))) + -5. -7 + 12*sqrt(2)/7 Simplify -5*6*((-1 + (sqrt(4)/sqrt(2) - sqrt(2))*4)**2 + (((1*sqrt(18))/sqrt(9))**2 - (sqrt(18)/sqrt(3))/sqrt(3))) + 2. -88 + 30*sqrt(2) Simplify ((sqrt(76) - 6*3*sqrt(76))*2)/((1*sqrt(72))/sqrt(2)). -34*sqrt(19)/3 Simplify 1*((1*(sqrt(432) - sqrt(432)*-4) + -4)**2*5 + -5). -2400*sqrt(3) + 54075 Simplify (3*(((-1 + sqrt(475))*1 - sqrt(475)) + 1) + -4*1*(3 + (2 + sqrt(475) - sqrt(475))))**2. 400 Simplify 2*(((-2 + -2 + sqrt(18) - sqrt(18) - sqrt(18) - sqrt(18))*-1 - (-5 + (sqrt(2592) + 3 - sqrt(2592)) + sqrt(2592) + sqrt(2592)))*-3)**2. -14256*sqrt(2) + 157464 Simplify ((sqrt(24)/sqrt(108) - sqrt(2)) + sqrt(6)/sqrt(3) + 3)**2*4 + (sqrt(6) + sqrt(24)*3)/sqrt(675). 127*sqrt(2)/15 + 332/9 Simplify (-5*((1*sqrt(275)*-6)/sqrt(5))/((sqrt(110)/(sqrt(10)*1) - sqrt(11)) + sqrt(1100)))**2 + -4. 41 Simplify -1 + -4 + sqrt(288) + (1*sqrt(288) + 3)**2 + (sqrt(288) - (sqrt(288) - (sqrt(288) + 3)*-1))**2 + (sqrt(288) - (4*sqrt(288) + sqrt(288))*2 - sqrt(288)). 36*sqrt(2) + 589 Simplify (-2*1*-5*sqrt(224)/sqrt(7))**2 - (sqrt(42)/sqrt(7)*-5)/(sqrt(3) - sqrt(432)*-1). 5*sqrt(2)/13 + 3200 Simplify 3*((sqrt(224) - -1*-1*sqrt(224))*4)/(-1*sqrt(7)*-4*4)*-2. 0 Simplify -4 + ((5*(sqrt(2736)*-3 + sqrt(2736) + 2) + -4)*-2)**2 + 4. -5760*sqrt(19) + 1094544 Simplify (5*sqrt(22)*2*-2*-1)/(-5*sqrt(99)*2*2). -sqrt(2)/3 Simplify -5 + (sqrt(125) + (0 + sqrt(125) + sqrt(125))*6 - ((sqrt(125)*-2 - sqrt(125)) + -1 + sqrt(125)))**2 + -2*-2*sqrt(125)*-6 + 5. 30*sqrt(5) + 28126 Simplify -1 + ((-5*(sqrt(112) - (1 + sqrt(112))) - sqrt(112)) + -5)**2 + -2 + sqrt(112) + (3*(sqrt(112)*-2 + sqrt(112)))**2. 4*sqrt(7) + 1117 Simplify (sqrt(2) + 2)*3 + (sqrt(1568) - sqrt(32)) + (sqrt(600) - -2*sqrt(600))/(sqrt(3)*2*-2 - sqrt(3)). 6 + 21*sqrt(2) Simplify (((sqrt(294) - sqrt(294)*1*2)/(sqrt(77)/sqrt(44)))/(-4*(sqrt(6) + 1*sqrt(36)/sqrt(6))*1))**2. 7/16 Simplify ((-5 + -3 + 0 + 6*(-1 + (sqrt(208) - (2 + sqrt(208))) + 3))*-4)**2. 1024 Simplify (((sqrt(448) + 1)*-4 - 1*sqrt(448)*-3) + 4 + (sqrt(448) + 0 + sqrt(448) - sqrt(448)) + (sqrt(448)*1 - sqrt(448))*-5 + sqrt(448) + 1)**2. 16*sqrt(7) + 449 Simplify ((sqrt(39) - ((sqrt(351) + sqrt(39))*-6 - sqrt(39)))/(sqrt(54)/sqrt(2)) + (2 + sqrt(13))*-4 + -3*sqrt(1053))**2. 1072*sqrt(13)/3 + 58933/9 Simplify 4 + (4*(3*sqrt(171) + sqrt(171) + sqrt(171))*-4)/((1*sqrt(324) + sqrt(324))*-4). 4 + 5*sqrt(19)/3 Simplify sqrt(80) + (sqrt(80) - (3 + sqrt(80))**2) + -3 + sqrt(5)*1 - (-1*sqrt(450) + sqrt(50))/(sqrt(70)/(sqrt(14)/sqrt(2))). -92 - 13*sqrt(5) Simplify (((sqrt(132)*-1*-3)/((sqrt(24)*-2)/sqrt(4)))/((1*(sqrt(66) - 2*sqrt(66)))/(sqrt(150)*-2)))**2. 450 Simplify (2 + -3*(((sqrt(102) - 3*sqrt(102)) + sqrt(102))*-2)/(-3*(sqrt(6) - sqrt(24))))**2. -8*sqrt(17) + 72 Simplify 2 + (5*-1*(5 + 4*2*sqrt(2448))*-3)**2 + 1. 216000*sqrt(17) + 35256828 Simplify (6*-2*-6*((sqrt(1539) - (sqrt(1539) + 0)) + sqrt(1539))*2*6)**2. 1148857344 Simplify (-2 + sqrt(320) - sqrt(5)) + (-2*sqrt(5))**2 + -4 - ((sqrt(300)/(sqrt(10)*2))/sqrt(6) + -3). 13*sqrt(5)/2 + 17 Simplify ((sqrt(320) + 4)*-1 - (sqrt(320) - (sqrt(320) - (sqrt(320) + -4))*-3)) + -4 + (sqrt(320) + (sqrt(320) - (sqrt(320) + 2 + sqrt(320)))**2*-1)*5. -1640 - 136*sqrt(5) Simplify (sqrt(126) + (sqrt(126) - ((2*sqrt(126) - sqrt(126)) + sqrt(126))))/(sqrt(28)*-6) + 0 + (-5 + sqrt(128)/sqrt(4))**2*-3. -171 + 120*sqrt(2) Simplify 3*(3 + (5 + ((sqrt(55)/sqrt(5) + -4)*1 - (2 + (sqrt(11) - (sqrt(66)/sqrt(6) + 4 + sqrt(11))))))**2). 36*sqrt(11) + 168 Simplify -4*(1 + (-1*sqrt(55)/((sqrt(99) + sqrt(99)*-1 + sqrt(99) + sqrt(99) + sqrt(99))/sqrt(9) + sqrt(11)))**2*-2). -3/2 Simplify -5*(4*(sqrt(98) + ((sqrt(98)*-2)**2 + -5 - sqrt(98))) - 1*(sqrt(98) + sqrt(98) + (-6*2*sqrt(98))**2 - sqrt(98)))*5. 175*sqrt(2) + 314100 Simplify ((sqrt(1728) - (-5 + sqrt(1728) + -1) - (-2 + -2*sqrt(192))) + -2)**2. 192*sqrt(3) + 804 Simplify 1 + (-6*(-1*(3 + sqrt(832)) + 1 + 1))**2. 576*sqrt(13) + 29989 Simplify (-5*-5*(1 + sqrt(5) + -1))**2 - 5*(sqrt(20) - sqrt(20)*1*3)**2. 2725 Simplify 4 + 1 + (-1 + -3 + sqrt(4050) + -5 + sqrt(4050) + -1 + sqrt(4050) + -2)**2. -3240*sqrt(2) + 36599 Simplify -4 + 2 + ((2*(sqrt(121) + (sqrt(121) - 1*sqrt(121))))/(-2*sqrt(44) - sqrt(44)) - 6*(1 + sqrt(11))*-6*-4)**2. 41568*sqrt(11) + 2248985/9 Simplify ((-1 + sqrt(405)*1 - (sqrt(405) - (0 + sqrt(405)))*-6) + 1)*-2 + -3. -18*sqrt(5) - 3 Simplify 3 + (4 + (sqrt(68) + sqrt(68) + (1 + -3 + sqrt(68) - sqrt(68)) - sqrt(68)) + 1*(sqrt(68) + 4 + sqrt(68) + sqrt(68)) + -1 + 1)**2. 96*sqrt(17) + 1127 Simplify ((-2 + sqrt(405))*-4 + 2*(-3 + sqrt(405)))*2 + -1. -36*sqrt(5) + 3 Simplify 4*3*(-4 + -4*(3 + sqrt(125) + 3))**2. 13440*sqrt(5) + 33408 Simplify (-6*1*(sqrt(468) + -1) + 4*sqrt(104)/((-1*sqrt(64))/sqrt(8)) + 2)**2. -640*sqrt(13) + 20864 Simplify (-2*(3 + -6*-6*sqrt(539)*-5*6*3))**2. -544320*sqrt(11) + 22632825636 Simplify -6*(1*((sqrt(252) + -2 + -1 + sqrt(252) - sqrt(252)) + (3*(sqrt(252) + sqrt(252) + 1) - sqrt(252)) + 5)*-4)**2. -873312 - 34560*sqrt(7) Simplify (((sqrt(660) - (sqrt(660) + sqrt(660)*-2 + sqrt(660))*4)/((sqrt(99)*1)/sqrt(9) + sqrt(11)))/(-2*5*(sqrt(108) - 4*sqrt(108))))**2. 1/6480 Simplify 4 + (-3*(-1 + sqrt(162) + (sqrt(162) - ((sqrt(162) - (sqrt(162) + 0)) + sqrt(162))) + 4)*-4*-4*4)**2. 1990656*sqrt(2) + 6303748 Simplify -3*((-5 + (sqrt(130) + 1*sqrt(130))/sqrt(10) + 3)*5 - 4*(-6*2*sqrt(832) + 4)). -1182*sqrt(13) + 78 Simplify (-3*(sqrt(12) - sqrt(768))*2)/(sqrt(28)/(sqrt(2058)/sqrt(6))). 294*sqrt(3) Simplify 3 + (sqrt(250) - (sqrt(250)*-3*-4 - sqrt(250)))/(sqrt(30)/(sqrt(6)*3 - sqrt(6))). -100*sqrt(2) + 3 Simplify ((sqrt(18) - sqrt(90)/(4*sqrt(5))) + (sqrt(2178) - (sqrt(2178)*3 - sqrt(2178))))/((sqrt(54)*1*5 + sqrt(54))/(1*sqrt(441))). -287*sqrt(3)/24 Simplify -5 + (-3 + -5 + -5*(-5*sqrt(363)*-1)**2 + 2)*5. -226910 Simplify (sqrt(19) - ((2*sqrt(152))/sqrt(8) - sqrt(19))) + -5 + sqrt(19)*-1 - (sqrt(19) + 5*(1 + sqrt(19) + sqrt(19)) - (sqrt(1539) - (2 + sqrt(1539))))**2. -2353 - 155*sqrt(19) Simplify (sqrt(264)/(sqrt(12)*-1)*-2*5)/(sqrt(24)/(sqrt(1452)*-2 - sqrt(1452))*-1). 330*sqrt(11) Simplify (-4 + ((-1*(sqrt(108) + 0))**2 + 1 - (sqrt(24)/sqrt(200) + (sqrt(24)/(sqrt(8) + sqrt(24)/sqrt(3)))**2 + sqrt(3))))*3. -18*sq
{ "pile_set_name": "DM Mathematics" }
of 18 and s. 9 Let c be -1 + 4/(-1) + 6. Suppose -c = -y + 10. Calculate the greatest common divisor of y and 44. 11 Let r(y) = -y**3 + 29*y**2 - 29*y + 32. Let c be r(28). Let a be (-3 - (-14)/6)/(c/(-126)). Calculate the greatest common divisor of 189 and a. 21 Let s(m) = 2*m - 49. Let z be s(26). Suppose 0 = -2*y + 4, -o = -z*y - 2*y - 3. Calculate the highest common divisor of o and 13. 13 Suppose 4*g - 2*m - 168 = -0*m, 0 = -g - 5*m + 42. Suppose g = 2*u + 16. What is the greatest common factor of 26 and u? 13 Let w(p) = -p**2 + 7*p - 4. Let b be w(6). Suppose 157 = b*s - 63. What is the highest common factor of s and 22? 22 Let j(p) = 121*p**3 + 4*p**2 - 2*p + 1. Let y be j(1). Calculate the highest common divisor of y and 8. 4 Let g(u) = -u**3 - 3*u**2 + 6*u - 4. Let d be g(-5). Suppose d + 16 = 2*w. Let x = w - 14. What is the greatest common divisor of 18 and x? 2 Let x be (1 + 1 - 0) + 3. Suppose x*k = -5 + 60. Calculate the highest common divisor of 99 and k. 11 Let v(i) = 5*i**2 + 12*i + 9*i**2 - 34*i**2 - 5 + i**3 + 8*i**2. Let j be v(11). Calculate the highest common divisor of j and 30. 6 Let m = -2029 - -2862. Calculate the greatest common factor of m and 49. 49 Let c be -4 - (4 + (0 - 3)). Let n = c - -10. Suppose 2*m - 7 - n = 0. Calculate the highest common factor of 6 and m. 6 Let m(p) = p**2 - 16*p + 17. Let l be m(15). Suppose 3*f = l*f + 11. What is the highest common divisor of 55 and f? 11 Let n be 789/12 - (-7)/(56/(-6)). Suppose j + 7 = 3*o, -j - 4*o + 23 = 2. What is the greatest common factor of n and j? 5 Suppose 5*p - 3*p = 5*v - 3770, 5*p = v - 754. Calculate the highest common divisor of v and 65. 13 Let x be 22/(-33)*(-1 + -5). Calculate the highest common divisor of x and 4. 4 Let j = -125 + 243. Suppose 0 = 2*m - j - 146. Suppose 34 = 2*i + 10. What is the greatest common factor of i and m? 12 Let a(t) = -5*t + 83. Let n be a(15). Let l(o) = 2*o - 4. Let h be l(6). Calculate the highest common factor of h and n. 8 Let j(t) = t**2 - 10*t + 9. Let x be j(9). Let i be 7 + -2 + x + -2. Suppose -i*h - 5*s - 2 = 0, h = -4*h - 5*s. Calculate the highest common factor of 8 and h. 1 Let y = 40 - -6. Let f be (-2 + 1)*(9 - y) + 2. Calculate the greatest common divisor of 13 and f. 13 Suppose 3*y + 2*q = 11, -17*q - 16 = -4*y - 21*q. Let d = 1 + 1. Let c = 7 + d. What is the highest common divisor of y and c? 3 Suppose -4*b - 4*u = -7*u - 1812, 2292 = 5*b + 3*u. What is the greatest common divisor of b and 57? 57 Let p(a) = 2*a**2 - 9*a - 13. Let t be p(9). Calculate the highest common factor of t and 85. 17 Suppose -56 = -15*i + 184. Calculate the greatest common divisor of i and 10. 2 Let q be 3*(26/6 + -2). Suppose 27 = k - q. What is the highest common factor of k and 136? 34 Suppose 15 + 20 = -5*g. Let p = g + 11. Suppose -3*n - 4*f + 55 = 0, -p*n = f - 20 - 62. What is the highest common divisor of n and 14? 7 Suppose -7*r + 245 = -91. Calculate the highest common divisor of r and 72. 24 Suppose 2*b - 5*y - 17 = 0, -3*y + 0*y = -2*b + 19. Let z = -85 - -231. Let l = z + -102. Calculate the greatest common divisor of b and l. 11 Suppose f + 396 = 4*f - x, -2*f + x = -263. What is the highest common factor of f and 14? 7 Suppose -157 = 7*n - 45. Let f be (-4 + 6)*n/4*-2. Calculate the greatest common factor of 32 and f. 16 Let p(a) = -a - 13. Let w be p(-20). Calculate the greatest common factor of w and 203. 7 Let w = 95 - 85. Calculate the greatest common divisor of 110 and w. 10 Suppose -778 = -21*n + 230. What is the highest common factor of 144 and n? 48 Suppose -198*u - 1587 = -201*u. Calculate the highest common factor of u and 69. 23 Let y = 266 - 249. Calculate the greatest common divisor of y and 289. 17 Let d(r) = 34*r + 14. Let b be (16/(-10))/((-1)/(-10)*-4). Let n be d(b). What is the highest common divisor of n and 30? 30 Suppose -44*l + 512 = -40*l. Suppose 4*b - 58 = -b - 3*m, 5*b = -4*m + 59. Let y = b - -5. What is the highest common divisor of y and l? 16 Let g(n) = -140*n - 12. Let x be g(-7). Let u be (-2 - -2)/(-1 - -3). Suppose u = 8*f - 4*f - x. Calculate the highest common factor of f and 22. 22 Suppose -3*n + 4*n = 4. Suppose -2*p = -n*p + 6. Calculate the highest common factor of 12 and p. 3 Suppose 6*g = 11 + 1. Suppose -2*a + 4*a = -2, g*a - 295 = -y. What is the highest common factor of 27 and y? 27 Let w(o) = -o**3 + 26*o**2 + 60*o - 54. Let c be w(28). What is the highest common divisor of 1798 and c? 58 Let t = 296 - 275. What is the greatest common divisor of 63 and t? 21 Let v(z) = z + 0*z**2 + 6*z - z + z**2 - 1. Let i be v(-7). Suppose -t + i*t = 140. What is the greatest common divisor of 28 and t? 28 Let z = -13 + 9. Let m(h) = -h**3 + h**2 + 11*h + 24. Let j be m(z). Calculate the highest common factor of j and 48. 12 Let c = -3 - -5. Let a(t) = 7*t + 6*t + 11*t - 20*t. Let h be a(c). Calculate the highest common divisor of h and 24. 8 Suppose 48*h = 3848 + 3880. Suppose 0 = 5*x - 50 - 65. Calculate the highest common factor of h and x. 23 Let b be 3/6 - ((-900)/8)/5. Calculate the highest common factor of b and 207. 23 Let m = -835 + 1102. Calculate the highest common factor of 178 and m. 89 Let o(v) = v**2 - 4*v + 3. Let t be o(9). Suppose 2*f + t - 18 = 3*r, -2*r - 5*f + 1 = 0. What is the greatest common divisor of r and 64? 8 Let u(t) = 17*t + 2. Let a be u(2). Let i be (-24)/(-3)*(-114)/24. Let y be i/(-4) + (-1)/2*1. What is the greatest common factor of y and a? 9 Let d(h) = 4*h - 19. Let y be d(8). Let m(n) = -n**2 + 16*n - 16. Let o be m(y). Calculate the highest common divisor of 92 and o. 23 Suppose -2*z = 5*v + 5 - 18, -2*z - 4*v = -12. Suppose 0 = 3*o - z*o + 1, 2*h - o = 119. Calculate the greatest common factor of 72 and h. 12 Let c(y) = -2*y**2 - 26*y - 4. Let d be c(-12). Suppose -3*b - 44 = -3*i - 2*b, 2*i - 3*b - d = 0. What is the highest common factor of 40 and i? 8 Let a = -2038 + 2054. Suppose 5*p - 314 = 5*h - 2*h, 0 = -4*p + h + 254. Calculate the greatest common divisor of p and a. 16 Let p = -124 - -234. What is the greatest common divisor of p and 66? 22 Suppose 4*y = -3 - 29. Let p(b) = -9*b - 41. Let w be p(y). What is the highest common factor of 93 and w? 31 Let d(o) = -o**2 - 13*o + 8. Let k be d(-7). What is the greatest common divisor of k and 1600? 50 Let s = -4158 - -4392. Let v(o) = o**3 + o**2 - 4*o + 2. Let t be v(3). What is the greatest common factor of s and t? 26 Suppose 0 = 4381*j - 4384*j + 1017. What is the greatest common factor of j and 3? 3 Let h(k) = -5*k**2 - 5*k. Let d(p) = 10*p**2 + 10*p - 1. Let o(u) = -2*d(u) - 5*h(u). Let f be o(-2). What is the greatest common factor of f and 264? 12 Suppose -3*b = 2*o + 749, -4*b = -2*o - 433 - 295. Let y = -229 - o. What is the highest common factor of 47 and y? 47 Let d be (-707)/(-42) + (-2)/(-12). Suppose d*o = 8*o + 144. Calculate the highest common divisor of 176 and o. 16 Suppose -6 = 2*m - 3*m. Suppose 0 = m*s - s + 490. Let b = 191 + s. What is the greatest common factor of 62 and b? 31 Suppose -2*t - 2*t = 8, 5*t = -4*w + 62. Let r be 42/147 - 2012/(-14). What is the highest common divisor of r and w? 18 Suppose -2*v + i + 25 = 0, 6*v - 8*v = -3*i - 23. Let x(f) = 5*f + 16. Let r be x(v). What is the highest common factor of 9 and r? 9 Suppose 0*o + c + 84 = 5*o, 0 = 5*o - 2*c - 83. Let r be -2*(4 + 55/(-10)) + 13. Let z = o - r. Calculate the greatest common factor of 1 and z. 1 Let u(j) = j + 3. Let i be u(5). Suppose -3*l + i*l = 100. Let g = 14 + -10. What is the greatest common divisor of l and g? 4 Suppose 11*v - 18*v = -42. Suppose -3*d + 20 = -52. What is the highest common divisor of d and v? 6 Suppose -3*w + 81 - 27 = 0. What is the greatest common factor of w and 2? 2 Suppose -2*j = 3*g - 49, j = 1 + 1. Suppose -4*h + 2*h = -z, h = 2*z - g. What is the highest common factor of 2 and z? 2 Let g be (-1)/2 + 350/4. Let a = -69 + g. Suppose -h + 3 + 3 = 0. Calculate the highest common factor of a and h. 6 Let p be (-2)/(-3) + 66/9. Suppose 0 = -p*f + 5*f + 42. Let r = 268 + -240. What is the greatest common factor of r and f? 14 Let k = -16 - -108. Suppose -3*s + k = -0*s + 4*g, -s + 48 = -3*g. Calculate the greatest common factor of 324 and s. 36 Let s be 5551
{ "pile_set_name": "DM Mathematics" }
11934709.13383 Put together -39842 and -0.01131451512. -39842.01131451512 What is 78936890846 minus -0.2? 78936890846.2 Sum 6372761704505 and -5. 6372761704500 What is the distance between 1562712073 and 3.1? 1562712069.9 Calculate 1109622370 + 105.9. 1109622475.9 What is -8.5033657032 take away 52? -60.5033657032 What is -281.193547915 - -5? -276.193547915 What is 0.08 minus -119633381781? 119633381781.08 What is -4 minus 64842597422456? -64842597422460 What is -10082585137 + 1151? -10082583986 What is -5808241.0111 - 4? -5808245.0111 Calculate -117033159.8 - 316.84. -117033476.64 Add 0.02654 and 38925460. 38925460.02654 What is -3906692783.12 - 0.4? -3906692783.52 Add -2162 and 53769633.5. 53767471.5 Add together -136.4334 and -0.035767199. -136.469167199 3133666713 + -0.0096 3133666712.9904 Put together 1629.30901685083 and -3. 1626.30901685083 -4+-6719369286704 -6719369286708 -2.39+-4173.2373 -4175.6273 What is 66.1 + -6986983873? -6986983806.9 What is -1 take away 3020673.80372? -3020674.80372 Total of -51192509 and 10.03. -51192498.97 What is 3 plus -240816142115909? -240816142115906 What is 762 + -586018.0203? -585256.0203 Add together 131253 and -401060. -269807 What is the difference between 0.8 and -0.43011031983635? 1.23011031983635 Total of -53.1578063 and -0.0092267. -53.167033 What is 2.81214 - 1914399? -1914396.18786 Add together 1 and 317236230756. 317236230757 Subtract -25673617.5 from 0.0388518. 25673617.5388518 Work out -745 + -52566878. -52567623 Subtract 680749618 from 13.125. -680749604.875 What is the difference between 15.42293 and 17174331.1? 17174315.67707 Add -132306.496327326 and 0.4. -132306.096327326 Put together -0.5911066998 and -0.05. -0.6411066998 Subtract 0 from 1382133976213532. 1382133976213532 -202342281.08 + -0.1546 -202342281.2346 1024 + -2.639558452 1021.360441548 What is -102545 less than 0.0483421561? 102545.0483421561 Sum -0.2259662739 and -94382. -94382.2259662739 Subtract -53.294 from -7905.2. -7851.906 What is 2 + -184405466709965? -184405466709963 Calculate 4 - 52606776532. -52606776528 -0.19 + 0.10225248957 -0.08774751043 Calculate -9589.18497 - -543. -9046.18497 Add -2.7838 and 133037. 133034.2162 What is 1.63422338749 minus 0? 1.63422338749 What is the distance between 950962409 and 346.8? 950962062.2 What is -0.044383984543 plus -47? -47.044383984543 Add together 1100890736497 and 4. 1100890736501 Subtract -81570527741739 from -0.3. 81570527741738.7 Add 0.6321 and 27232.864261. 27233.496361 Total of 458906 and -6259.824. 452646.176 What is -1.1338537405 less than 15.47? 16.6038537405 What is 3 less than -151437657.3664? -151437660.3664 Work out 0.3 - 2204235100624. -2204235100623.7 Calculate -581.40918327 - -0.03558. -581.37360327 Add 415179 and -4.93248. 415174.06752 What is the distance between 0.6 and 122658941644335? 122658941644334.4 17.8119801305 - 641 -623.1880198695 Work out 17502 + 5364157634. 5364175136 Add 38104703 and 1055599. 39160302 What is the distance between -6977158735315 and -0.04? 6977158735314.96 Add 1 and 66442638121. 66442638122 Work out 4553055267235 - -82. 4553055267317 What is 2.28215731 + -204? -201.71784269 Subtract 260577 from -0.1382456589. -260577.1382456589 Add -273.85746644 and 86.7. -187.15746644 What is the distance between 120461360210 and 0? 120461360210 Total of -7713577813 and 29.9. -7713577783.1 Sum -1298 and 24920373. 24919075 What is -210322142974 take away -41? -210322142933 Calculate 0.1106170489 + -72627. -72626.8893829511 Calculate 2488051258.626 - 12. 2488051246.626 Work out 0.9959 + -2136.09531. -2135.09941 What is -352618042 plus -522.21? -352618564.21 -1.5 + 42942404067 42942404065.5 Subtract 155007206748 from 0.3. -155007206747.7 Calculate -259316 - 3223469990. -3223729306 What is the difference between 72990427097 and 6? 72990427091 Add together -57542595 and 870587.9. -56672007.1 Add together -211610 and -71882424. -72094034 -210303809733 - -36.7 -210303809696.3 Add together 0.1858 and -113251948273. -113251948272.8142 Work out 131273938 + -16466. 131257472 Total of -1843929 and 105421. -1738508 Calculate -0.4 + -32944581177625. -32944581177625.4 Total of -139191 and -1686355. -1825546 What is the difference between 18.735785303 and -0.18? 18.915785303 What is -202946 less than -354901175? -354698229 What is -19742933935950 plus -4? -19742933935954 What is the distance between -14288606.1736 and -378? 14288228.1736 What is -258.4 minus -1308.15745? 1049.75745 What is -0.263222588605 minus -0.3? 0.036777411395 Put together -379 and -147.7195821. -526.7195821 Add 5623491 and 857507. 6480998 What is -5922606480 take away -432? -5922606048 What is the difference between -0.36 and 1272697999.71? 1272698000.07 What is the distance between 1 and -14266100193225? 14266100193226 What is -6.33 minus 42892585403? -42892585409.33 Calculate -4507807545 + 10. -4507807535 Calculate -111342.4 - -125430866. 125319523.6 Calculate -0.112825 + 548555.3. 548555.187175 What is 0.002 take away 2009698.956259? -2009698.954259 What is the difference between -370674970096 and 5.5? 370674970101.5 What is -1239 take away -37716701210? 37716699971 What is 35.7865 less than 0.139387198? -35.647112802 What is 49325222382 - 0.07? 49325222381.93 Add together 12.9203 and 43353. 43365.9203 23.1 - -594636148482 594636148505.1 Calculate 32324845186261.9 + 0.1. 32324845186262 What is -142680128 less than 497877? 143178005 674569.4 + 1394799 2069368.4 What is the distance between -3 and -8014368896.05? 8014368893.05 Calculate 231.573 + 0.3279377918. 231.9009377918 Add -0.3 and 57969987846734. 57969987846733.7 What is -3843.1 + 249997.5? 246154.4 Subtract 91527 from -4668.616. -96195.616 Put together -670665 and -24.34208. -670689.34208 Add 15218 and -11455749475. -11455734257 Work out -56 + -0.1209117757. -56.1209117757 What is -13175996.892 minus -0.3? -13175996.592 Work out 7997223 - 4.6829. 7997218.3171 5+1990970.200029 1990975.200029 Calculate -120.760188 + 1181455. 1181334.239812 Sum -1166500024 and 0.158. -1166500023.842 What is -3.29882 take away 55737.7202? -55741.01902 Calculate -17934 - 41.63843. -17975.63843 What is 797.08 less than -1180960? -1181757.08 Add together -0.8 and 179.45478393. 178.65478393 Sum -2 and 0.166008664321. -1.833991335679 What is the distance between 7.2 and 700160156? 700160148.8 Add together -19855766.634 and 4166. -19851600.634 -0.5+132713825.93883 132713825.43883 Calculate 1140.3 + 31.79154. 1172.09154 Calculate -0.14098 + 32.501494. 32.360514 1951743 - -1342155.8 3293898.8 33874127069+0.215 33874127069.215 Sum 675969238 and -1.77832. 675969236.22168 Add 195.923464 and -520.521. -324.597536 Calculate -13802165.4867 + 215. -13801950.4867 Put together -6496021194 and -4.268. -6496021198.268 -133500673506064+-2 -133500673506066 Subtract -3340.34532 from -41275.9. -37935.55468 What is -480.004 less than 0.017867? 480.021867 Total of 16.4 and 17919.91124. 17936.31124 What is the difference between 150.52639 and -1505? 1655.52639 Work out 14.0655457711 - 0.04. 14.0255457711 Subtract 2 from 5654696849806. 5654696849804 Calculate -90330 + -255870. -346200 Work out 0.066 + -20779871. -20779870.934 What is -639181342154 plus -0.5? -639181342154.5 What is 281 - 190.34179698? 90.65820302 What is the difference between -217186 and 239.87153? 217425.87153 -2734+-3904437.8 -3907171.8 What is the difference between 0.5 and 432719251.38? 432719250.88 Subtract 47625247 from 17351. -47607896 What is 513309 + 3.5643006? 513312.5643006 -5710.93 + -125104.5 -130815.43 Subtract 194280574.67 from -12. -194280586.67 What is -0.4675006 plus 8799.0199? 8798.5523994 Total of -19.372784365 and 131. 111.627215635 What is the difference between -111252840102 and 5? 111252840107 Total of 2080079 and 7765.9. 2087844.9 What is -21918020.1241 less than -1.6? 21918018.5241 What is 0.001573 minus 17113693? -17113692.998427 What is 12070.694124 take away -584? 12654.694124 What is -25308853.03 minus 0.8? -25308853.83 Put together 1061.81 and -447817. -446755.19 -10516197433+-32119 -10516229552 Work out -122.24608050935 - -0.49. -121.75608050935 Add together 1300991 and -0.0919227. 1300990.9080773 What is -23775.28191589 minus 0.02? -23775.30191589 Subtract -2412.32 from 82
{ "pile_set_name": "DM Mathematics" }
w = b - 28. Solve w*z + z = -5 for z. -5 Let s be 36 - (-8)/(-2 - -6). Let q be 3/(-18) + s/12. Suppose -10 = -q*f - 1. Solve -f + 6 = 3*j for j. 1 Let w = 110 - 108. Suppose -25 = 5*o + 5*h, w*h + h = -o - 11. Let v(p) = p + 4. Let i be v(o). Solve -6 = 2*b + i for b. -4 Suppose x + 12 = 4*n - 0*x, 0 = 4*x + 16. Suppose 17 = 4*w + 5*y, w = 3*w - n*y - 4. Suppose -2*z - 13 = -2*j - 3*j, 7 = -2*z + w*j. Solve f + 4 = z for f. -3 Suppose -12*z = -15262 + 15142. Solve 3*o = z*o + 14*o for o. 0 Suppose -5*b = 5*s - 13150, 0 = -21*b + 26*b - 2*s - 13115. Solve 0 = -b*t + 2629*t for t. 0 Suppose 73*z - 75*z = -12. Suppose 6*g + z*g = 144. Solve -2*v - g + 8 = 0 for v. -2 Let w(i) = -13*i + 859. Let a be w(65). Solve -a*c - 30 = 12 for c. -3 Let p be 5 + 2/2 + -1. Suppose 3*r - 3*f = 24, -f = 24*r - 29*r + 20. Solve -p = -r*j - 14 for j. -3 Suppose -3*y + 154 = 2*l - 66, -430 = -4*l - y. Solve 0 = 16*w + l - 27 for w. -5 Let f(y) = y**3 - 4*y**2 - 3*y + 15. Let c be f(4). Suppose 0 = 3*o - c*a - 21, -o + 6*o + 4*a - 53 = 0. Solve o*d = 5*d for d. 0 Let s(d) = d**3 + 14*d**2 + 13*d + 2. Let w be s(-13). Let y(o) = -6 - 2*o**w - 4 - 46*o + 27*o + 3*o**2. Let f be y(20). Solve -6*z = -f*z for z. 0 Let i be (-12)/21 + (-36)/(-14). Let y be (-1)/i*(-9 - -3). Let f be (-2)/(-2*2 + 3). Solve -f = 5*s + y for s. -1 Let h be (-136 - -87)*(-6)/7*1. Solve 27 - h = -3*v for v. 5 Let v be ((-116)/(-18))/(58/522). Solve -52*y = -v - 46 for y. 2 Let u = -13657 - -13691. Solve -59 = -u*f + 9 for f. 2 Suppose l - 2*q - 1 = -0*l, -q = -5*l + 14. Let j be 3/2 + (105/10)/l. Solve -7 = j*w + 8 for w. -3 Let m = -343 - -176. Let o = m + 171. Solve 0 = -o*y + 6 - 22 for y. -4 Let k be 39*4/(-12)*(1 - 2 - 15). Solve k - 96 = -16*w for w. -7 Let i be (0 - -24)*229/1374*2/1. Solve -4*f + 20 - i = 0 for f. 3 Suppose -3*l + 5 = v - 11, -4*v + l = -25. Let c(g) = g**3 - 8*g**2 + 8*g - 7. Let u be c(v). Let s be 114/24 - (-9)/36. Solve -3*k - 17 + s = u for k. -4 Let u be -62 - 4*(-5)/10. Let l be (105/u)/(1/(-72)). Let c be ((-28)/(-3))/2*108/l. Solve 4 = -c*q + 8 for q. 1 Suppose 216*b = 227*b - 407. Solve 6*w + 13 = b for w. 4 Let d = 780 + -418. Let n be 1/10*d + (-2)/10. Let s be 0/(-2)*9/n. Solve s = -4*g + 4 + 12 for g. 4 Suppose -20 = 4*t, m + 4*t + 17 = -12. Let d(x) = x**3 + 9*x**2 - 3*x - 24. Let f be d(m). Solve 10*u - 35 = f*u for u. 5 Let t = 364 - 362. Suppose -45 = -4*c - t*o - 13, -3*o - 32 = -2*c. Solve -6*v + 4*v = c for v. -5 Let n = -62 + 179. Suppose 5*u + w = 5*w + n, 0 = 5*u - 5*w - 115. Suppose 4*z = 5*v, 83*z = 80*z - 2*v + 23. Solve z*q + 0*q = -u for q. -5 Let q = -1554 + 1558. Solve 10*z + 24 = q*z for z. -4 Let m(z) = -z**3 + 6*z**2 - 5*z + 17. Let t be m(8). Let p = t - -155. Solve -9*l - 20 = -p*l for l. -4 Let d = 22580 - 22240. Solve 49*u + d = 46 for u. -6 Let x be (-2)/(-6)*0/(115/(-5)). Solve 9*o + x*o + 45 = 0 for o. -5 Suppose 205 = 4*b - 4*f - 83, 0 = 2*b + 3*f - 154. Suppose -34*v + 130 = -b. Solve 32 = v*j + 20 for j. 2 Suppose -o + 12 = t + 7, 0 = -5*o + 3*t + 9. Suppose -15*d + o = -57. Solve -d*s - 3 = 5 for s. -2 Let n be (-6)/24 + 4*1/16. Suppose 4*t - 18 = -3*q, n = 2*q + 2*q + 5*t - 23. Let w(x) = 4*x - 6. Let u be w(4). Solve q = -2*k + u for k. 4 Let v = -2 + 6. Let g(f) = -2*f**3 - 76*f**2 - 532*f - 289. Let b be g(-29). Solve -b = v*h - 13 for h. 3 Let m = 260 - 257. Suppose m*w = 3*f - 9, -f + 12 = f + w. Solve 0 = q + 1 - f for q. 4 Suppose -2*t + 13 = -4*s + 39, 0 = 3*s - 4*t - 12. Solve s*g = 12*g + 4 for g. -1 Let q = -58 + 59. Let w be (4 + 1)/(0 - q). Let m be w/((-45)/2) + (-75)/(-27). Solve 1 = -m*i - 2 for i. -1 Let l = -110 + 54. Suppose 0 = -39*s - 0*s - 1304 - 802. Let q = s - l. Solve 3*y - q*y = -4 for y. -4 Suppose 2*c = 18 + 4. Let i = -9 + c. Suppose -5*d = -0*d + i*f - 61, -d + 3 = 5*f. Solve 4*g + 3 + d = 0 for g. -4 Suppose -m = 2*p - 37, -5*m = p - m - 15. Suppose 2*c - p + 7 = -4*k, -3*k + 10 = 2*c. Suppose 0*t = -5*y + 2*t + 1, -6 = k*y - 4*t. Solve -v = -2 - y for v. 3 Suppose 8*x - 12*x + 172 = 2*v, 4*x = v - 122. Solve 0 = -26*d - v + 124 for d. 1 Let n(g) = -2*g**2 + 6*g + 39. Suppose -32*h = -21*h + 33. Let a be n(h). Solve 0 = a*r - 3 for r. 1 Let f = -21728 - -21990. Solve -f*q + 49 = -311*q for q. -1 Let a = -15805 + 15859. Solve -a = -32*o - 22*o for o. 1 Let q(x) = x**2 - x - 18. Let y be q(-4). Let n be -47 - (0/y)/(-1). Let r = -31 - n. Solve 0 = -5*o - r + 1 for o. -3 Let t(q) = 6*q**2 + 19*q + 58. Let n be t(-6). Solve -30*d = 10 - n for d. 5 Suppose 20*b + 22*b = 54*b - 300. Solve b*g + 18 = 93 for g. 3 Let w be (32/(-128))/((-2)/(-24))*(-2 - 1). Solve -164 + 137 = w*x for x. -3 Let g(q) = q + 27. Let s be (4 + -1)*(-1 + 4/(-3)). Let n be g(s). Solve -5*d + 0*d - n = 0 for d. -4 Let l(h) = 4*h - 25. Suppose g = 0, 2*w = 2*g + 6 + 8. Let f be l(w). Suppose -a = -4*b - 15, f*b = 3*a - 0*b - 18. Solve -a*t + 6 + 0 = 0 for t. 2 Let i = 796 + -818. Let b be (18/(-99))/(2/i). Solve -6*j + 20 = b for j. 3 Suppose 46*b - 8797 + 4143 = 7674. Solve -27*i - b = -133 for i. -5 Let w(p) = 132*p + 6875. Let g be w(-52). Solve -36 = -20*c + g*c for c. 4 Suppose -a - 10 = -3*a. Suppose 5*k + n = 9*k + 1, 0 = 4*k - 5*n + a. Suppose -142*o + 135*o = -14. Solve -2*f - o*f - 4 = k for f. -1 Let q be 6 - 1 - (-3 - 1 - -8). Let s be (-6*(0 + q))/(-24 + 22). Solve -s*y = -5*y for y. 0 Suppose 0 = -m + 6*m + 2*t - 50, 0 = 3*m + 4*t - 44. Suppose -4*n + m*n - 20 = 0. Solve 2*r = n*r - 6 for r. 2 Let p be 9/45 + (36/(-80))/((-3)/72). Solve -p = 6*y + 1 for y. -2 Suppose 75 = 5*v - 3*a, 0 = -11*a + 6*a - 25. Let h be 9/v - 471/(-12). Solve h = 4*n + 52 for n. -3 Suppose 0 = -17*k + 9*k + 56. Suppose 0 = 5*a + 25, -k*p = -4*p - 2*a - 10. Solve p = -5*d - 6 + 16 for d. 2 Let w = 503 + -493. Suppose 0 = -w*x + 7*x. Solve x*b = b for b. 0 Let y be 9 - 0*(-1)/2. Suppose -61*i = 234 - 300 - 361. Solve -4*u - y = -i*u for u. 3 Suppose -57*f + 0*f + 171 = 0. Suppose -68*w + 2 = -67*w. Solve -f*j = w*j - 25 for j. 5 Let y = -277 + 483. Suppose 46 = 18*v - y. Solve 6 = -4*r - v for r. -5 Let j be 20/6 + (-37)/111. Let g be (-30)/((-15)/9 - (-2)/j). Solve t = 7*t + g for t. -5 Let j(z) = 52*z - 260. Let g be j(5). Suppose 0 = 4*q - 4, 5*n - 139 = -5*q + q. Suppose -7*u - 26 = -11*u - h, -3*u + 3*h + n = g. Solve 4 = -3*y + u*y for y. 1 Let o be ((-600)/66)/(-5) - 2/(-11). Suppose 5*t - y + 0*y = 54, o*y = 5*t - 58. Suppose -t*d + 21 = -3*d. Solve -2*j + 4 = -d*j for j. -4 Let l(n) = n**2 - 25*n + 22. Let j be l(25). Let o = j + -19. Solve -6*u = 9 - o for u. -1 Let c(n) = 678*n + 6133. Let v be c(-9). Solve -2*q - 43 = -v for q. -6 Let m be (10 + -25)*(15/(-50))/((-1)/(-2)). Solve -m*z = 69 - 15 for z. -6 Let z be 405/4 - 23/(-1564)*-85. Solve 92*t = z*t + 48 for t. -6 Suppose 4*k + 53 = 93. Suppose 250 = -0*x + k*x. Solve 6*q - q = -x for q. -5 Let q = 18 + -9. Let k(g) = -355*g + 20. Let s be k(0). Solve s = -4*m + q*m for m. 4 Let v be (-10 - -38) + 1 - 15. Solve -30 + v = -8*s for s. 2 Suppose -2*g = -4*k - 8, -5*g = 6*k - 9*k - 27. Suppose -2*i = -7*i + 75. Solve -17*j + i*j = -g for j. 3 Let j(q) = -q**3 - 13*q**2 - 23*q - 8. Let r = -16 + -26. Let d be (r/6 - 1*4)/1. Let h be j(d). Solve 2*n - n = h for n. 3 Let y be (903/4)/(-3) + (-2)/(-8). Let q = y - -79. Suppose 4*b + 48 = -3*h + 7*h, -q*h + 2*b + 44 = 0. Solve -25 + h = -5*d for d. 3 Let d(g) = g - 11. Let z = -118 + 132. Let i be d(z). Solve -2*n + i = -n for n. 3 Let p(x) = x**3 + 4*x**2 + 5*x + 2. Let n be p(-1). Suppose n = -571*w + 583*w - 24. Solve -w*d + 9 = -1 for d. 5 Suppose -8*b + b = -14. Suppose 0 = -20*n - n + 231. Solve b*w + 21 = n for w. -5 Let m = 2007 + -2043. Let y(q) = -4*q**3 - 2*q**2 + 2*q. Let t be y(2). Let o = m - t. Solve 3*v + 11 + 1 = o for v. -4 Let w(o) = -86*o + 1465. Let s be w(17). Suppose -5*q = 5*r + 70, 2*q + r - 13 = -38. Let t = -7 - q. Solve -s*v + t = -11 for v. 5 Suppose -15405 = 393*j - 57629 - 61921. Solve -34*i = j - 27 for i. -7 Let n = -1 + 1. Suppose -3*l = -3*b + 61 - 49, 3*b + l = -4. Solve n*k - 5*k = b for k. 0 Let h(m) = -40*m - 1260. Let o be h(-32). Solve -20 = 17*k - o for k. 0 Let b = 307 - 305. Let j(l) = l**2 - 12*l + 13. Let s(r) = r**3 + r**2 - 3*r + 11. Let i be s(0). Let d be j(i). Solve c = b + d
{ "pile_set_name": "DM Mathematics" }
o + 3. Let u(p) = -p - 1. Let y(i) = -4*u(i) - w(i). Let n be 10/35 + 26/7. Is y(n) composite? False Suppose 0 = 7*w - 12*w - 5. Let z = w + 542. Is z a prime number? True Suppose -4 = o - 1. Let s be (-1)/(o + 4682/1561). Suppose s = 8*z - z. Is z a composite number? False Let h = 5 + -7. Let x(o) = 147*o + 2 - 1 + 85*o**2 - 74*o - 68*o. Is x(h) composite? False Let y = 20 - 18. Suppose 3*m - 3 = -2*u, 0 = -0*m + 2*m + u - y. Is 2/m + -3 + 56 a composite number? True Suppose 0 = 27*k - 34*k - 924. Let i(q) = -3*q - 1. Let g be i(-6). Let o = g - k. Is o a composite number? False Suppose 2*a + 0*a = 10. Suppose -2*z - a*w = -2750, 2*w = z - 0*w - 1375. Let i = z - 488. Is i composite? False Let d be 839/((6/2)/(-264)). Is d/(-66) + (-1)/(-3) composite? True Let o = -8 + 13. Let j be o + -4 + (2 - -205). Suppose 3*b + 184 = 4*w, -3*b + j = 4*w - 0*w. Is w prime? False Let o = -3 + 6. Suppose -b = 4*v - 1578 + 308, -o*b + 323 = v. Is v prime? True Suppose -22*r + 25834 = 1920. Is r a composite number? False Suppose -71*i = -69*i - 3278. Is i prime? False Let r(x) = -13*x + 22. Suppose 8*v = 13*v - 80. Let w be v + -14 + -16 + 1. Is r(w) composite? False Suppose 6*s = -s + 21770. Suppose -2*i = -s + 612. Is i a composite number? False Is (-3 - -5) + 5148/8*34 a prime number? True Let v be (-95)/(-30) - (-1)/(-6). Suppose 0*a + 5*a - 1720 = -v*n, 2*a = 3*n - 1685. Is n composite? True Let g(v) = -5*v**3 - 3*v**2 + 17*v + 17. Is g(-6) a prime number? True Let z = 757 + -1341. Let x = 930 + z. Is x prime? False Suppose 4*z = z - 18. Let x(q) = -14*q**3 - 2*q**2 + q - 7. Is x(z) a composite number? False Suppose -35 = -l + 3*h, -h - 52 - 69 = -3*l. Let w = l + 14. Is w composite? True Let p be (-24)/60 + 1624/10. Suppose a - 273 = 2*m, -p = -3*a + 4*m + 661. Is a composite? False Let v = -35857 - -85671. Is v a composite number? True Let k(j) = 366*j - 157. Is k(6) a composite number? False Let q = -317 + 49. Let i = q - -1137. Is i a prime number? False Let u be 3/2*(-3 - -5). Suppose -u = x - 2. Is (73 + 4)/(0 - x) a composite number? True Suppose 4*j + 315 = d, -d - 2*j = -3*d + 606. Is d prime? False Suppose -2*p - 4*m = -1958, -2*p + 6*m + 1958 = 8*m. Is p prime? False Suppose -g - 2*k = -300, 5*k = -5*g + 1930 - 455. Suppose 80 - g = -5*s. Let x = 71 + s. Is x a prime number? True Suppose 5*o - 5*d = -2*d + 603, 2*o - 5*d = 226. Suppose -2234 = -o*w + 121*w. Is w a composite number? False Suppose -4*d = -c + 5791, -6*c + d = 5*d - 34662. Is c prime? True Let n(s) = -2*s - 2533. Let x(v) = v + 2. Let u(y) = -n(y) + 5*x(y). Is u(0) a prime number? True Suppose -22 = -t + 5*a, -3*t - 3*a - 6 + 0 = 0. Suppose t*x - 751 = 739. Is x a composite number? True Suppose -14*s = -3675 - 2709. Suppose 5*h = -g + 1117, 5*g = -4*h + 2*h + s. Is h a composite number? False Suppose -x + 3*x + 5*t = 10851, 2*x - 10881 = 5*t. Is x a composite number? True Let h(v) = -8*v**3 + 5*v**2 - 35*v + 5. Let u(z) = -4*z**3 + 2*z**2 - 17*z + 2. Let y(s) = 2*h(s) - 5*u(s). Is y(7) a composite number? True Let z be (13 - 0/(-3)) + -2. Suppose -2*v = -5*s + 19, 2*v - 32 = -3*s - z. Suppose -v*c + 6 - 3 = 0, -5*x = -4*c - 381. Is x a prime number? False Let l(y) = -8*y**3 - 2*y**2 + 4*y + 5. Suppose -3*v = -5*r - 11, 4*v = -4*r + 3*r - 16. Is l(v) a composite number? False Let b = -31 + 34. Suppose 2*u + 635 = b*f - 2*f, 4*f = 3*u + 2530. Is f a prime number? True Let t = -16 + 20. Suppose 0 = 3*q - t*u - 21163 - 11556, -4*u + 20 = 0. Is q a composite number? True Suppose 600 - 868 = 4*d. Let c(w) = -73*w. Let j be c(-2). Let b = j + d. Is b a prime number? True Let c(f) = -225*f**3 + 2*f**2 - f + 4. Let j be c(4). Is (-2)/6 - j/48 prime? False Let f be ((-35)/(-14))/((-10)/(-24)). Let i = -6 + f. Is 1 - (i + -34 + 2) prime? False Let f be (-129)/12 + 2/(-8). Let p(a) = -12*a - 21. Is p(f) a composite number? True Let d(z) = z**3 + 41*z + 41*z - 4*z**2 - 87*z - 5. Is d(11) a composite number? False Suppose -5*t - 5118 = 12862. Let g = 5989 + t. Is g prime? True Suppose -808 = 4*h + 192. Let d = 672 + h. Is d composite? True Let p(w) = -2*w**2 + 3*w + 1. Let r be p(3). Is -2*(92/r - 0) a prime number? True Let q(k) = 133*k + 0*k**2 + 12 - 149*k + 3*k**2. Is q(-17) a prime number? True Suppose -40*h - 66*h = -1749106. Is h a prime number? False Let a(x) be the second derivative of -x**7/2520 + x**6/45 + x**5/24 + x**4/2 + 7*x. Let f(r) be the third derivative of a(r). Is f(12) a composite number? False Let q = 9 - 6. Let h(f) = 311*f - 1. Let u be h(q). Suppose -6*p = -2*p - u. Is p prime? True Is 1*2473 + 66/(-4 + 15) a prime number? False Let l(d) = 295*d**2 - 4*d + 2. Let v be (2/3)/(10/15). Is l(v) prime? True Suppose p = -4*p - 50. Is (-4)/p + (-8109)/(-15) composite? False Is (-4 - 16137)/(-1 + 0) a prime number? True Suppose -327 = -6*b + 327. Is b a prime number? True Let x(l) be the second derivative of -l**5/20 + 7*l**4/6 - 5*l**3/6 - 9*l**2/2 - 37*l. Let n = -6 + 19. Is x(n) a prime number? False Suppose -a - 374 = 520. Suppose -4*k - 2614 = 2*w, 3*w + 2621 = -4*k - 1306. Let r = a - w. Is r a composite number? False Suppose 3*q - 11805 = -3*i, 19789 - 4049 = 4*q - 3*i. Is q prime? False Let z = 35 + -26. Let p(u) = -3*u**2 + 7*u**3 - 2 - 3*u**3 - 3*u**3 - z. Is p(6) a composite number? False Let v(w) = -2256*w + 973. Is v(-21) prime? False Let s(n) = n**2 + 11*n - 8. Let f be s(-11). Let g = -863 + 1504. Is (f/(-4) - 1)*g a prime number? True Let c(a) = a**3 + 12*a**2 - 14*a - 9. Let i = -46 - -33. Let n be c(i). Suppose -x + 14 - n = 0. Is x a composite number? True Let i = 1862 - -875. Let q = -1488 + i. Is q a prime number? True Let w(z) = z**2 + 15*z + 4481. Is w(0) a prime number? True Let n(c) be the first derivative of -14*c**2 - 21*c - 38. Is n(-11) a prime number? False Let q be 2/1 + -10 - -4. Let x(r) = -190*r - 7. Is x(q) prime? False Suppose 0 = 5*m - u - 12766, -2*m + 6140 = -2*u + 1040. Is m composite? True Let a(n) = 1098*n - 32. Is a(5) composite? True Let f = -3615 + 20966. Is f composite? False Suppose 224 = -0*w + 2*w. Suppose 0 = -8*u + 3*u + 3*f + w, -u - 4*f = -4. Is ((-776)/u)/(2/(-5)) a composite number? False Let h = 25 + -20. Suppose c - 788 = -h*v + 2*c, -4*v = c - 634. Is v prime? False Suppose -d - 3*d + 40 = 0. Let u be -1 - d*(-2)/4. Suppose 4*r - 717 = 5*o - 184, 0 = -u*r - 5*o + 483. Is r prime? True Is -8782*((-8)/(-16) - 1) prime? True Let g = 18 - 14. Suppose 0 = g*d - 2413 + 617. Is d a prime number? True Suppose 0 = y + 3*f - 15, 0 = 5*y - 0*f - 3*f - 39. Is 618/(-8)*(-12)/y composite? False Let u be (-8)/(-6) + (-2)/(-3). Suppose 0 = u*c + 3*p - 44, c = p - 2*p + 21. Let g = 34 + c. Is g a prime number? True Suppose -5*z = -0*v + 2*v + 6, -4*v + 4*z = -16. Suppose -5*y + v*r + 196 = -333, -97 = -y - 4*r. Suppose 3*h = 6*h - y. Is h a prime number? False Let a(p) = 2*p**2 - 11*p + 2159. Is a(0) a prime number? False Suppose 3*g + t - 6 = 0, 5*t = 4*g + g - 10. Suppose 5*y - 1671 = g*y. Is y composite? False Suppose -3*h - 20 = -4*i, -5*i + 23 = 5*h - 2. Suppose i*f + d - 780 = 0, -f - 4*d = -34 - 103. Is f composite? False Let g = -29 - -26. Is (-1 + g + -1)*-7 prime? False Let n be (965/(-3) - -1)/(27/81). Let r = 2463 + n. Is r composite? True Suppose x - 51801 - 35098 = 0. Is x a prime number? False Suppose -k = 3*j - 656, 4*j - 8*j = 2*k - 1314. Is k a prime number? True Suppose 11*b = 14*b + 4*z - 18153, 2*z = 6. Is b a prime number? True Suppose -2*q - 5*z - 280 = 36, 3*z = -4*q - 604. Let r = q + 519. Is r composite? True Let g(v) = v**3 - 8*v**2 - 1. Let f be g(8). Let x be 3/f*(-8)/3. Suppose 7*t = x*t - 223. Is t a prime number? True Let k = 105569 - 51046. Is k prime? False Let o(r) = 563*r**2 + 6*r + 2. Is o(5) prime? True Suppose -o + 458 = -791. Is o a composite number? False Suppose 2*h - 937 = -0*c - 3*c, -4*c = h - 461. Suppose -h = -5*p + 162. Is p a composite number? False Suppose -3*w - 2*t + 3 = -13, 0 = -4*w + t + 36. Suppose 0 = 4*v - w*v. Suppose v = -n - 63 + 322. Is n composite? True Suppose 4*m = -2*f - 141216, 4*m + 4*f + 119276 + 21940 = 0. Is m/(-56) + 4/7 a composite number? False Let g(q) = -5*q + 33. Let l be g(6). Suppose l*v = -2*k + 9781, -v + 9809 = 2*v - 5*k. Is v prime? False Suppose 0
{ "pile_set_name": "DM Mathematics" }
= -0.1? False Which is smaller: -4914 or -4947? -4947 Is -316048 at most as big as -316047? True Is 458 > 0.355? True Is 649505 greater than 649506? False Which is greater: -2/3496115 or 0? 0 Which is smaller: -0.0305 or 12.533? -0.0305 Which is greater: 0 or 607.84? 607.84 Which is bigger: 3/14 or -3009/40? 3/14 Which is smaller: -1 or -11.431? -11.431 Which is smaller: 37842 or 37944? 37842 Do -1287 and -1286 have the same value? False Is 17 equal to -1.2? False Is 7185 at least as big as 7171? True Is -23/70372 less than 0? True Which is greater: 774/61 or 13? 13 Is 14889877 at least as big as 14889877? True Is 0 less than -4/253877? False Which is bigger: -11/4 or -17.13? -11/4 Is 2236 greater than or equal to 7.53? True Is -52068 >= -52067? False Which is greater: -30308 or -30309? -30308 Which is bigger: -29195 or -29196? -29195 Is -2517 greater than or equal to -2518? True Which is greater: 1 or -478/21? 1 Are -5934/259 and -2/7 non-equal? True Is 5/122317 less than 1? True Which is smaller: -50444 or -857546/17? -50444 Is -125568 at most -502277/4? False Which is greater: 4/96377 or 1? 1 Are -53 and -108215 non-equal? True Is 8 at most as big as -334.63? False Which is smaller: -9731 or -9657? -9731 Is -361743 >= -361743? True Is -205784 at most -205783? True Do 56710/57 and 995 have the same value? False Is -2678 less than or equal to 551? True Is -68613 bigger than -617525/9? True Is 89222 bigger than 89235? False Which is smaller: 1069225/8 or 133653? 133653 Are -883 and -3895 non-equal? True Is 0 >= -18/7613? True Is -218 != -239? True Is 401 smaller than -1298? False Which is smaller: -26681 or -506914/19? -26681 Which is smaller: -1/2 or 72063? -1/2 Is -64287 less than -10? True Is -269/25 at least as big as -12? True Is 8654 equal to 8646? False Is -17 <= -1033/58? False Is -2/9 less than or equal to 28/25301? True Is -2/3 smaller than -1/141? True Is 1/39648 less than or equal to 0? False Is 0 greater than -7/3030? True Is 97039 at most as big as 97036? False Which is smaller: 1573/735 or 2? 2 Which is smaller: -4/21 or -2/491? -4/21 Is -76/1025 less than or equal to -1? False Which is smaller: 0 or -2/394353? -2/394353 Which is smaller: 12869/9 or -2/5? -2/5 Which is smaller: 3/490898 or 0? 0 Is 0 at most 4/545665? True Which is smaller: 772 or -128? -128 Do -46711 and -8 have the same value? False Is 0 less than -2015216? False Is -1.2 bigger than 33/2231? False Which is greater: 9 or 7600/911? 9 Which is bigger: -121 or -0.02656? -0.02656 Which is greater: 2/2449235 or 0? 2/2449235 Which is smaller: -91568 or -91567? -91568 Is 0 > -2/12036463? True Which is smaller: -6.3 or -10576? -10576 Which is greater: 2/65745 or 0? 2/65745 Is 2692 > 2688? True Which is greater: 2/539 or -58? 2/539 Which is smaller: -50196/389 or -129? -50196/389 Is 4504321 at most as big as 0.1? False Is -7656/7 < 148? True Does -3575143 = -3575142? False Do -24 and 22386 have the same value? False Which is greater: 503697/8 or 62963? 62963 Is -158060 equal to -158059? False Is -12 greater than or equal to -101065? True Is -3 < 0.975377? True Which is smaller: 0 or 2/4747695? 0 Which is bigger: 1.952 or -132? 1.952 Is -10784 at least -10784? True Are -140157 and -140162 equal? False Are -48 and -483 unequal? True Is 25078 equal to 25076? False Is 0 equal to 63/950? False Is -83753 <= -1? True Which is greater: -0.1 or -90784? -0.1 Which is greater: -409749 or -409750? -409749 Which is bigger: -87991 or 0? 0 Is -448/255 greater than or equal to -1? False Which is smaller: 1/397071 or 1? 1/397071 Is -5938 at most -52/7? True Which is bigger: -342294 or -342295? -342294 Is 1/10070 smaller than 17? True Is 232 bigger than 164? True Is -10 less than 0.09392? True Does -1 = -1/593? False Which is smaller: -901/22 or -2/33? -901/22 Which is greater: -1/6389809 or 1? 1 Which is smaller: 0.2 or -119592/19? -119592/19 Is -174994 smaller than -174990? True Is -28 > -1382? True Which is bigger: 7174 or 7158? 7174 Which is smaller: -0.5 or -4694? -4694 Is 0.24 <= 2020? True Are -339128/5 and -67825 equal? False Is -167/16144 < 1? True Which is bigger: 259980 or 259976? 259980 Which is smaller: 2079 or -7? -7 Which is greater: -0.927 or 774? 774 Do -1/7866 and -1 have the same value? False Which is bigger: -1252 or 10/9? 10/9 Which is smaller: -1079/32 or -35? -35 Is -4/7 < 577/7? True Which is smaller: -1151 or 9? -1151 Is 7610 smaller than 7617? True Is -1528 bigger than 106? False Which is smaller: 471689 or 471691? 471689 Do -2/2086411 and 2/3 have the same value? False Which is smaller: 216478 or 216477? 216477 Which is smaller: -2.78 or 2143? -2.78 Which is greater: 83376/91 or 917? 917 Which is smaller: -2175/4501 or -1? -1 Which is smaller: 2919/257 or 11? 11 Which is greater: -4503 or -175654/39? -4503 Are -1463 and -44 unequal? True Which is bigger: 17/341475 or 0? 17/341475 Is -2/451235 bigger than -1? True Which is greater: 2208707/2 or 1104354? 1104354 Which is smaller: 1 or 594/727? 594/727 Is 19 > 4079/232? True Which is smaller: -3982 or -4002? -4002 Which is smaller: 1 or -3987.5? -3987.5 Are 620891/3 and 206965 equal? False Is -1 > 26535? False Are -2/13 and -12948 equal? False Is -2/9 at most as big as 1475306? True Is -31661 != 3/2? True Is 51584/7 <= 7368? False Which is smaller: 8.8 or -750? -750 Which is bigger: 558 or -22/7? 558 Which is greater: -25 or -113? -25 Which is smaller: 304.912 or 2? 2 Are 0 and 86/1459 non-equal? True Is -1259/175 at most -7? True Is 304574 < 304576? True Which is smaller: -12703 or -12512? -12703 Which is smaller: -6 or -6147? -6147 Is 22002 <= 22002? True Which is smaller: -1.7 or -38? -38 Which is smaller: 509 or 818? 509 Which is smaller: -1/2 or 2006? -1/2 Which is smaller: 22419 or 22422? 22419 Is -431424 bigger than -431427? True Which is smaller: -4272 or -4269? -4272 Is -79508 bigger than -954097/12? True Is 179874 smaller than 179875? True Which is smaller: -1223909 or -1223910? -1223910 Which is bigger: 0.329 or 12318? 12318 Is -3/32 != -116? True Which is smaller: 17632 or 17667? 17632 Is -182148 less than or equal to -182148? True Is -0.053 at most 8105? True Is 30/153151 less than 1? True Which is bigger: -46621 or -46624? -46621 Is 1396 at least as big as 1396? True Is 4150/131 < 32? True Are -33250 and -33198 equal? False Which is bigger: -9804 or -9810? -9804 Are -1 and -5/17553 nonequal? True Is 14 bigger than -3350? True Which is smaller: 1/375461 or 1? 1/375461 Is 15947 equal to 15964? False Which is smaller: 1 or -1/2947492? -1/2947492 Which is bigger: -174036 or -174039? -174036 Is -24914 not equal to -24948? True Is 217760/13 less than 16751? True Which is bigger: -388715 or -388716? -388715 Which is smaller: 488/14125 or 1? 488/14125 Which is greater: 3.81275 or 2/7? 3.81275 Is 2951 less than or equal to 156324/53? False Is -5.20145 at least as big as 1? False Which is smaller: -8769 or -8764? -8769 Which is smaller: 1 or -1/6983? -1/6983 Which is bigger: 3/103987 or -1? 3/103987 Which is smaller: -1/25136 or -1? -1 Is -1681737 at most as big as -1681737? True Which is greater: -6 or -3026/479? -6 Are -287/1357 and 1 nonequal? True Is -1513 at most as big as -1522? False Which is smaller: 311309 or 311307? 311307 Are 2202 and 1973 nonequal? True Which is bigger: -4511213/4 or -1127804? -4511213/4 Which is smaller: 2.97 or -132/5? -132/5 Which is smaller: 3531 or 3716? 3531 Which is smaller: 115466 or 115465? 115465 Is -1218 at most as big as -9? True Is 1 less than 36/43993? False Is 2044 > 321? True Which is smaller: 9 or 852/67? 9 Is 0 less than 6/711191? True Is 49/110 greater than 18? False Are -13271/25 and -530 non-equal? True Is 2/128759 bigger than 1? False Is 769911 >= 769919? False Which is smaller: -33780/59 or -572? -33780/59 Which is bigger: 1/5 or 295605/7? 295605/7 Is -9386/267 < -2/7? True Is -396 at most as big as -5953/15? False Which is bigger: 396894 or 2778266/7? 2778266/7 Is -1/1070 > -4? True Which is greater: -42 or -252? -42 Is 113237/9 bigger than 12581? True Does -98944 = -98940? False Which is smaller: 1/1265 or 1? 1/1265 Are 254848 and 254829 equal? False Which is smaller: -6/461 or -2? -2 Which is greater: 0.084 or 62/3? 62/3 Which is smaller: 594116 or 59
{ "pile_set_name": "DM Mathematics" }
for q. -1 Solve -3*q + 10 = 10*x - 8*x, 0 = -4*q for x. 5 Solve -21 = 5*b - 3*w, 4 = 2*b - 60*w + 65*w for b. -3 Solve 3*r + 2 = 2*p - r, 0 = 2*p + 3*r + 12 for p. -3 Solve -2*k + 5*v - 16 = -3, 5*v = -5*k + 20 for k. 1 Solve -5*i + 2*b = -0 - 2, -3*i = -4*b + 10 for i. 2 Solve -3*m + 40 = -5*r, m = 5*m + 2*r - 10 for m. 5 Solve -3*f + 164*w - 166*w = 0, 0 = 3*f - 5*w for f. 0 Solve 2*k = -3*j + 9, 10 = 3*j - 5*k - 20 for j. 5 Solve -3*k + 42 = 6*m, 5*m = -k + 2*m + 19 for k. 4 Solve 4*o + 6 = 3*f - 4, 5*f = 5*o + 10 for f. -2 Solve 4*z = -h - z + 5, 0 = 5*h + 2*z - 25 for h. 5 Solve 20 = 3*r + 4*f, -4*r + 5 = -4*f - 3 for r. 4 Solve 2*s - 35 = 5*d, 9*s + 2*d = 8*s - 5 for s. 5 Solve 24*o - 19*o - y = -17, 4*o + 2 = -5*y for o. -3 Solve 0 = -3*r - 5*z - 21, -3*z + 4 = 13 for r. -2 Solve u + 19 = 4*h, 0 = 4*u + 8*h - 11*h + 24 for u. -3 Solve 3*f + 4 = 4*b, -2*f + 1 = b - 4*f for b. 1 Solve 2*a - 2*y = 12, 4*a + a + 5*y = 0 for a. 3 Solve -3*y + 3 = 0, -3*y - 181 = 5*p - 149 for p. -7 Solve 104*c + 2*t - 21 = 107*c, c = t - 6 for c. -9 Solve 2*i + 3*s - 19 = 0, 0*i - 4*i + 5 = -5*s for i. 5 Solve 5*v = 2*o - 5, -3*o + 3*v - 5 = 1 for o. -5 Solve 16*u + 8 = 14*u - 4*x, -1 = x for u. -2 Solve -i + 28 - 24 = 0, 4*z = 2*i - 20 for z. -3 Solve 0 = -2*y + 8*w - 3*w - 15, -y - 9 = -4*w for y. -5 Solve 13*c - 18*c = 2*m + 3, -3*m - 5*c + 3 = 0 for m. 6 Solve -6 = -3*z - 3*x, 6 = 4*z - x - 17 for z. 5 Solve -4*b + 3*k = -0 - 8, 0 = -3*b + 3*k + 6 for b. 2 Solve 23*g - 2*a = 21*g + 18, 0 = -a - 5 for g. 4 Solve -4*y + 62 = -3*i + 47, i = -4*y + 11 for i. -1 Solve -2*b + 11 = 2*q - 3*q, -5*q = -b + 28 for q. -5 Solve 0 = v + 2*v + 3*z, 0 = 3*v + z - 2 for v. 1 Solve 5*a + 1 = z, 3*a + 5*z - 5 = 6*a for a. 0 Solve -5*k = -4*o - 33, 3*o - o = -4 for k. 5 Solve 16 = 2*s + 5*j, 22 = -4*s - s + 3*j for s. -2 Solve 5*g + 16 = o + 1, 25 = -5*g - o for g. -4 Solve -3*a = 4*l - 141 + 124, 5 = 5*a + 2*l for a. -1 Solve 3*m = -m + 5*r - 30, 2*r - 9 = m for m. -5 Solve -4*j = -3*a + 13, 3*j + 0*a - 6 = -3*a for j. -1 Solve 3*h + q - 10 = -0*q, 2*q = 2*h + 4 for h. 2 Solve 0 = -u - 4*m - 29, 0 = 4*u - 3*m + 2 for u. -5 Solve 10*j + 2*h - 2 = 12*j, 0 = -j - 3*h + 7 for j. 1 Solve -4*k + 4*j = -24, -4 = -4*k - 4*j + 4 for k. 4 Solve -5*y = -3*q + 26 - 2, 4*q = 3*y + 21 for y. -3 Solve 3*t - 12 = 2*c - 9, 4*c = -t - 13 for c. -3 Solve -2*v = -3*i + 2, 0 = 3*i - 5*i + v for i. -2 Solve -2*r - 10 = -0*c - 4*c, 2*r - 30 = -4*c for c. 5 Solve -5*i = 2*g - 13 + 2, 5*i - 15 = 0 for g. -2 Solve 3*m = -6, 1 = -2*h - 2*m - 5 for h. -1 Solve 9*o - 26 = 4*o + v, -o - 3*v = -2 for o. 5 Solve 13 - 1 = 4*w + 4*f, -w + 2 = 2*f for w. 4 Solve -2*p + 5*b = 4, 10*b = -5*p + 6*b - 10 for p. -2 Solve 4*u + x + 8 = -x, 4*u - 3*x = -8 for u. -2 Solve x + 11 = -4*c - 2, -19 = -x + 4*c for x. 3 Solve 249*d - 5*k = 250*d, 4*k + 9 = d for d. 5 Solve 3*m = -3*a, 2*m = -4*a + 7*a + 25 for a. -5 Solve 3*p - 4*h = -3*h - 4, 2*h + 4 = 0 for p. -2 Solve 2*w + 3 + 11 = 4*v, 2*v + 8 = -4*w for v. 2 Solve -t - 3*t - 15 = -n, 0 = 4*n - t - 15 for n. 3 Solve 9 + 2 = -3*r + 5*c, 5*r - 35 = -5*c for r. 3 Solve -4*a = 5*s - 6 + 9, 0 = 3*a + 5*s + 1 for a. -2 Solve 0 = -4*b - 4*g + 12, -b + 5*g + 7 = 2*g for b. 4 Solve -f + 10 = 3*k, 2*f - 6 = -5*k + 6*k for f. 4 Solve 5*g - j + 18 = 25, 2*g - 3*j + 5 = 0 for g. 2 Solve b - 16 = -4*l, 3*b - 106*l = -109*l + 21 for b. 4 Solve j + 8 = 3*n, -n - 2*j - 3 + 15 = 0 for n. 4 Solve -3*x + 3*d = 15, 0 = 3*x + 2*d - 4*d + 10 for x. 0 Solve -4*l + 6 = 2*i, l - 4*l + 21 = -4*i for i. -3 Solve 16 = 3*y + 5*t, -34*y + 39*y - 2*t - 6 = 0 for y. 2 Solve 14 = -x - 3*h, 2*x - 3*x - 9 = 2*h for x. 1 Solve 13 + 2 = -5*o, -5*o = -5*y for y. -3 Solve -5*v - 4*g - 35 = -2*g, 5*v + 15 = 2*g for v. -5 Solve i = -3*n - 1 - 4, -5*n - 2*i - 9 = 0 for n. -1 Solve -4*c + n + 7 = 0, 114*c = 119*c + n - 20 for c. 3 Solve 0 = -7*p + 12*p - 3*h + 18, 4*h - 19 = 5*p for p. -3 Solve 0 = 2*n - 7*i + 2*i + 9, -n - 3*i = -12 for n. 3 Solve 2*x - 3 = 4*f - 1, -3*f = x + 9 for x. -3 Solve -4*n - 5 = -l, -10*n + 11*n + 3*l = -11 for n. -2 Solve -a + 3*a = -6, -a + 1 = t for t. 4 Solve r + v - 2 = 0, 4*v = 5*r - v - 40 for r. 5 Solve n - 26 = -4*z - 21, -2*z + 5 = 3*n for n. 1 Solve b = -2*h, -h = -0*h - 4*b - 9 for h. 1 Solve -71*y + 3 = -3*x - 66*y, -3*x = y + 3 for x. -1 Solve -12 = 2*j - 4*d, -4*j + 1 = 2*d - 5 for j. 0 Solve -10 = -2*g - 4*b + 8, 19 = 5*g - 3*b for g. 5 Solve 0*c + 3*c = -3*i, 3*c - 3*i = -24 for c. -4 Solve -3*v = -22*u + 21*u - 16, -12 = 3*u for v. 4 Solve 2*f + 13 = -5*a + 37, -2*f + 16 = 3*a for a. 4 Solve -21 = 4*c - 1, -3 = 4*m - c for m. -2 Solve 2*v + 5*l = 4*l + 5, 4*v - 3*l = 15 for v. 3 Solve 0 = -0*o + o - 4*w + 21, w = 4 for o. -5 Solve -22 = 3*k + 4*w, -4*k - k - 4*w - 26 = 0 for k. -2 Solve 3*q + 8 = b - 2, 5*q = b - 16 for q. -3 Solve -26*h + 24*h + m + 11 = 0, -5*m = 25 for h. 3 Solve -1 = -3*m + 2*u, -2*m - 16*u = -14*u - 14 for m. 3 Solve 333*b = 332*b + 2*k - 6, -5*b + 22 = 3*k for b. 2 Solve -a = 3*r - 12, 2*r = 2*a - 2*r + 6 for a. 3 Solve 2*p - 4*g = -0*p + 14, 0 = -5*p + g - 1 for p. -1 Solve -1 = -2*k + 1, -k = 5*t + 9 for t. -2 Solve -z = -3*y, 39*z = 44*z + y + 32 for z. -6 Solve m = -3*s - 1 - 3, 5*s + 10 = -m for s. -3 Solve 25 = d - 5*p, 0 = 2*d - 4*p - p - 30 for d. 5 Solve 3*g + a + 8 = 5*a, 5*g = -4*a + 40 for g. 4 Solve -3*s - 21 = -2*n, 5*s + 4*n + 11 + 2 = 0 for s. -5 Solve -2*z + 6 = -2*k, -z - 7 + 8 = -3*k for k. 1 Solve -y + 2*z + 0*z = -7, 2*y + 18 = -4*z for y. -1 Solve -30 = 5*i + 5*v, -4*i - 2*v + 27 - 41 = 0 for i. -1 Solve -142*z + 4*m = -146*z, -m - 6 = -5*z for z. 1 Solve -3*r = -5*z + 6, 0 = -4*z - 2*r - 96 + 92 for z. 0 Solve 0 = 5*i + 5*u + 25, 3*u + 3 = i - 8 for i. -1 Solve -2*d = -3*i - 4, d - 83 + 72 = -3*i for i. 2 Solve -3*h - 1 = -0*q - q, -5*h = -2*q for h. -2 Solve -17 = 5*u + 2*r - 1, -5*r - 11 = -2*u for u. -2 Solve -14*i + 5*a = -16*i - 9, 3*a = -2*i - 7 for i. -2 Solve 0 = -s - 2, -2*n - 5*s + 0 = 18 for n. -4 Solve -15*a + 20*a - 5*b + 25 = 0, -a + 4*b - 20 = 0 for a. 0 Solve -2*l - 17 + 4 = -r, 4*r - 2 = -2*l for l. -5 Solve 3*m - 41*i = -40*i - 5, -3*i = 4*m + 24 for m. -3 Solve 5*d - 12 = 2*t, 20*t = 25*t - 20 for d. 4 Solve 5*s - 4*m + 2 = 0, -12 = 8*s - 4*s + 2*m for s. -2 Solve -3*y + r + 3 = 2*y, 2*y + 2*r - 6 = 0 for y. 1 Solve 5*i = 5*p + 15, -5*i - 2*p = 2*p + 30 for i. -2 Solve 0*v = -v + 2*n - 1, -2*v - 2*n = -4 for v. 1 Solve -p + 29 = 5*m, 5*m - 6*m + 5*p = 15 for m. 5 Solve -3*g + 6 = 4*i, 2*i + 11*g - 6*g = 10 for i. 0 Solve 3 = u - 5*k - 14, -k = 4 for u. -3 Solve -2*z + 12 = -33*b + 35*b, 5*b - 24 = -2*z for b. 4 Solve 5*n - 10*n - 3*z = -12, 2*n + z = 5 for n. 3 Solve 10 = -3*l - 151*k + 149*k, 10 = -5*k for l. -2 Solve n + 5*c - 16 = 0, 0 = -4*n + c + 11 - 31 for n. -4 Solve -u + 6 = -3*v - 4, 2*v + 3*u = -25 for v. -5 Solve 2*s + 3 - 1 = 0, 4*q + 2*s = 6 for q. 2 Solve 3*f + 0 + 1 = 4*i, 0 = 4*i - 2*f - 2 for i. 1 Solve 5*k = 3*k - 3*y - 1, 5 = -2*k + y for k. -2 Solve -g = -p - 5, 30 = -5*p + 4*g + 6 for p. -4 Solve -g = -3, 0 = o - 4*o + 5*g - 18 for o. -1 Solve 3*n + 2*t + 12 = 0, -5*n + 5*t - 20 = -0 for n. -4 Solve -5*j + 17 = 2*o, 16*j - 22 = 14*j + 3*o for j. 5 Solve 4*s - 3 - 4 = c, 3 = 4*s - 5*c for s. 2 Solve -4*r = -5*x + 2, r - 10 = -3*r - x for r. 2 Solve -5*j + 32 = 4*t, -4*t + 2*j = -0*j - 4 for t. 3 Solve 11*j - 9*j - 3*r - 10 = 0, 5*j - 3*r = 7 for j. -1 Solve -20 = -4*i + 4*q, -14*i + 13 = -12*i - 3*q for i. 2 Solve -a = 3*x - 14, 0 = -3*x - 5*a - 0*a - 2 for x. 6 Solve 5*w + 3*k + 21 = k, 5*w + 5*k = -30 for w. -3 Solve -6*a + 9*a + 5*k = -10, 3*a + 15*k = -60 for a. 5 Solve 0 = -3*q + 5*j - 37, -4*q + 535*j - 31 = 532*j for q. -4 Solve -3*x - 7 = x - g, 2*x - g = -1 for x. -3 Solve 3*g + 12 = 4*t, 0 = 5*t - 4*t for g. -4 Solve -4*v = -o + 9, 7 = -4*v + 4*o - 17 for v. -1 Solve -64 = 2*q - 4*l - 58, -9 = 3*q - 3*l for q. -3 Solve -2*q + 5*y + 14 = 0, -7*q - 23*y - 41 = -18*y for q. -3 Solve -4*y + 9 = p, 0*y + 2*p + 3 = -y for y. 3 Solve -o + 10*l - 15 = 7*l, 0 = 4*o + l + 8 for o. -3 Solve 3*m = 5*n - 8, 6*m - m = -4*n + 36 for n. 4 Solve c = 4*s, 4*s + 12 = -3*c + c for c. -4 Solve 0*j - 3*m + 29 = -4*j, 2*j - 5*m + 25 = 0 for j. -5 Solve -4*d + 2*c = 4, -7*d + 4*c = -9*d
{ "pile_set_name": "DM Mathematics" }
ose -5*q - 36 + 259 = 3*x, -3*q = -2*x + 174. Calculate the remainder when 96 is divided by x. 15 Calculate the remainder when 336 is divided by ((-309)/15 - -12)*-10. 78 Let p = 21035 - 20872. Calculate the remainder when 8310 is divided by p. 160 Suppose 38*f - 594 = 356. What is the remainder when 517 is divided by f? 17 What is the remainder when 1215 is divided by (-46)/4*(32 + -34)? 19 Let r be 1*-55 + (3 - 5). Suppose -6*i = 682 - 1120. What is the remainder when i is divided by (-2)/((-6)/r*-1)? 16 Let w = -26217 - -28551. Calculate the remainder when w is divided by 45. 39 Let h(f) be the second derivative of -f**3/3 + 19*f**2 - 15*f - 2. What is the remainder when 72 is divided by h(9)? 12 What is the remainder when 185 is divided by -21 - 1464/(-72) - (0 + 244/(-6))? 25 Let g = -34 + 36. Suppose -j = g*b - 20, 2*j - 6*b + b - 40 = 0. What is the remainder when 58 is divided by j? 18 Suppose s - 13 - 19 = 0. Let j(f) = -f**3 + 29*f**2 + 101*f - 34. Calculate the remainder when j(s) is divided by 33. 27 Let y = 7790 + -7531. What is the remainder when y is divided by 20? 19 Suppose 171*u + 105865 = 326*u. Let p = -74 + 172. Calculate the remainder when u is divided by p. 95 Suppose -6 = -5*c + 19. Suppose 3*t - 478 = -c*p, -2*p + 0*t - 3*t + 193 = 0. Calculate the remainder when p is divided by 16. 15 Let a = -785 + 821. Let q = 16 + -17. What is the remainder when q/(-5) + 4998/35 is divided by a? 35 Let j = -31134 - -31425. What is the remainder when 611 is divided by j? 29 What is the remainder when 10729 is divided by ((-17205)/186)/(9/(-12)*8/12)? 184 Suppose -786 = -27*q + 33 + 423. Calculate the remainder when 570 is divided by q. 18 Let q be 4 - (1744/28 + (-8)/28). Let k = q - -64. What is the remainder when k is divided by (0 - -1)/(1/2)? 0 Suppose -k + 76 + 59 = -20*p, -k = -4*p - 39. Suppose -2*m - 4*r + 36 = 0, -4*m + 2*r = -3*r - 7. Calculate the remainder when k is divided by m. 7 Calculate the remainder when 178 is divided by (2 + 16)*(1122/44 + -19). 61 Calculate the remainder when 550 is divided by 2/((-2)/7) + 188. 7 Suppose 30*m - 1398 - 24 - 48 = 0. Calculate the remainder when m is divided by 3. 1 Let b(u) = 172*u + 1953. Calculate the remainder when 669 is divided by b(-11). 59 Let y = -4 + 29. Let m = y - -15. Calculate the remainder when 3/(-11) - 171270/(-1089) is divided by m. 37 Let a(v) = 5*v + 8. Suppose -4*p - 328 = -7*p + 2*b, 3*p + 5*b - 293 = 0. What is the remainder when p is divided by a(1)? 2 Let k be (53 + 3)*(-1)/(-1). Suppose k = 6*r - 124. Let i = r - -6. Calculate the remainder when i is divided by 13. 10 Let h(w) = -2*w**3 + 6*w**2 + 5*w + 9. Let l be h(4). What is the remainder when 97 is divided by 1083/27 + l - 3/27? 23 Let w(x) = -x**3 + 4*x**2 - 3*x + 2. Let g be (6 + (-105)/12)*(-120)/3. Suppose 4*h + 7*h - g = 0. What is the remainder when h is divided by w(2)? 2 Let c(b) = 385*b**2 - 101*b + 100. Calculate the remainder when c(1) is divided by 244. 140 Suppose -6 + 14 = 2*r. Suppose p - r*p = 3*y + 117, 0 = 2*p + 2. Calculate the remainder when 6*(y/(-6) + -1) is divided by 9. 5 Let v(h) = 30*h + 1. Let n be v(1). Let t = n - 22. Suppose 130 = t*f - 221. Calculate the remainder when f is divided by 15. 9 Let v be 3/(-6) + (-4925)/(-10). Let k be (2/3)/(8/v). Suppose 2*y - 60 = -3*r - 2*r, -y = -3*r - k. Calculate the remainder when 69 is divided by y. 34 Suppose -3*l + 60 = -4*h, l - 55*h - 7 = -58*h. What is the remainder when 4495 is divided by l? 15 Suppose -11 - 11 = -4*b - v, 23 = 5*b - v. What is the remainder when 9 - 5 - b - (3 + -155) is divided by 9? 7 Suppose -59 = -3*x - 23. Let m(z) = 20*z**2 - 28*z**2 + 16*z + 17 + 10*z**2. What is the remainder when x is divided by m(-1)? 0 Suppose -3*o + 2 + 5 = y, -2*y + 24 = 4*o. Calculate the remainder when 3761 is divided by y. 21 What is the remainder when 498 is divided by (-8)/(-224)*-8 - 3836/(-49)? 30 Suppose 54*w + 52*w = 2438. Suppose 5*l + 15 = -0*l. What is the remainder when w is divided by 28/(-6)*l/2? 2 Suppose -44*a + 113*a = 59*a + 600. Calculate the remainder when 413 is divided by a. 53 Let g be (2 - 3)*(-5 + 5). Suppose g*u - 24 = u. Let s = -7 - u. What is the remainder when s is divided by 9? 8 Let d(o) = o**2 + 2*o - 3187. Calculate the remainder when d(87) is divided by 169. 162 Let q(v) = 6*v - 2. Let w(z) = -z**3 + 3*z**2 - 2. Let m be w(2). Suppose 21631*c - 21642*c + 275 = 0. Calculate the remainder when c is divided by q(m). 5 Let f(r) = 110*r**3 + 2*r - 3. Let s be f(1). Let c = s + -44. Let a(z) = z**2 + 9*z + 12. What is the remainder when c is divided by a(-10)? 21 Let q be 4 - 8/12*-12. Let x = q + 6. Calculate the remainder when 120 is divided by x. 12 Suppose 7*x - 2*x = 10. Suppose -3*s + 45 = -3*v, -x*v + 4*v = 4*s - 30. What is the remainder when 31 is divided by 1/5 - (5 - (-177)/v)? 3 Let x = -1 + 3. Suppose -4*w = -20, -2*h = -3*h - x*w + 18. What is the remainder when 15 is divided by (-3)/h + (-1650)/(-176)? 6 Let o(i) be the first derivative of i**4/2 + 35*i**3/3 - 9*i**2 + 11*i - 47. Suppose -23*q - 480 = -27*q. Calculate the remainder when q is divided by o(-18). 10 Suppose b - 151 = -3*z, 2*b - 2*z = -b + 398. Let x = 261 - b. What is the remainder when x is divided by 7? 6 Let q = 197 - 195. Suppose -q*v + 71 = -221. What is the remainder when v is divided by 37? 35 Let x(c) = -3*c**3 + 4*c**2 + 102*c - 42. What is the remainder when x(-6) is divided by 35? 33 Let w(l) = l**2 - 49*l - 18. Calculate the remainder when 328 is divided by w(-2). 76 Let b(r) = -4*r**3 - 3*r**2 + 11*r + 5. Let o(l) = 4*l**3 + 4*l**2 - 12*l - 6. Let i(d) = -5*b(d) - 4*o(d). Calculate the remainder when i(3) is divided by 6. 5 Suppose 1231 = 18*l + 133. Suppose -213 = -4*w - 73. Calculate the remainder when l is divided by w. 26 Let u = -155 - -159. Let z(j) = 4*j**2 - 3*j - 2. What is the remainder when 96 is divided by z(u)? 46 Suppose 5*o = -652 - 958. Let v = o + 325. What is the remainder when 4 is divided by v? 1 Let w = -7064 + 7285. What is the remainder when 1089 is divided by w? 205 Suppose 221*u + 215*u - 152012 = -810*u. Suppose 45 + 5 = 2*y. What is the remainder when u is divided by y? 22 Suppose 994*j - 1007*j + 2691 = 0. Calculate the remainder when 630 is divided by j. 9 Suppose -5*l + a = -188 - 50, -5*l - 3*a + 226 = 0. What is the remainder when 170 is divided by l? 29 Suppose 13*b + 129 = 194. What is the remainder when 2133 is divided by b? 3 Let w be -10*(-1)/2*162/30. Let r = w - -18. What is the remainder when r is divided by 16? 13 Suppose 4*j - 5*u - 36 = 0, -2*j + 0 + 18 = 3*u. Suppose -111 = -9*x + 850 + 686. What is the remainder when x is divided by j? 3 Let q(h) = -97*h + 539. What is the remainder when q(2) is divided by 23? 0 Calculate the remainder when (130/(-15)*79)/(25/(-15) - -1) is divided by 56. 19 Suppose 4*u - 10 + 1 = -5*v, 2*v = 2. Calculate the remainder when 10 is divided by u. 0 Suppose -379*y + 19552 = -327*y. Calculate the remainder when y is divided by 29. 28 Let o(m) = -m**2 - 9. Let a(c) = 2*c**2 + 2*c + 27. Let s(n) = -3*a(n) - 8*o(n). Calculate the remainder when s(-7) is divided by 33. 32 Suppose 16 = 7*d - 3*d. Suppose 28 = q - 5*l, 4*l - 140 = -5*q - 0*l. Calculate the remainder when q/196 + 83/7 is divided by d. 0 Suppose -8*y = -2*y - 132. What is the remainder when (y/4 - -2)*754/87 is divided by 20? 5 Let s(r) = 11*r**2 + 72*r - 210. What is the remainder when s(6) is divided by 204? 6 Let q(a) = 3*a**2 + 15*a - 28. Suppose -2*g + 2*z + 18 = 0, -24*g + 27*g + 5*z = 3. Calculate the remainder when q(g) is divided by 4. 2 Let g(u) = -u**2 - 81*u - 1044. What is the remainder when 841 is divided by g(-63)? 31 Let l(t) be the second derivative of t**5/20 - 5*t**4/6 - 17*t**3/6 - 7*t**2/2 - 9*t. Calculate the remainder when l(12) is divided by 15*(-2 + (-40)/(-12)). 17 Let g(r) = -7*r + 1. Suppose 18*s = 16*s - 8. Let l(h) = 6*h - 1. What is the remainder when g(s) is divided by l(3)? 12 Let p(s) = -2*s**2 - 4*s + 13. What is the remainder when (-285)/(-60)*(8 - 0) is divided by p(0)? 12 Suppose -2*k - 5*z = -60, -3 - 95 = -4*k + z. Calculate the remainder when k is divided by 1. 0 Suppose 4*b - c = 3*b + 8, -11 = 3*b + 4*c. Calculate the remainder w
{ "pile_set_name": "DM Mathematics" }
*2*u + 96*k**2 - 4 Differentiate -45*t**3*y + 3*t**2*x*y - t*x*y - 146*x*y with respect to t. -135*t**2*y + 6*t*x*y - x*y Find the third derivative of 6*x**5 + 41*x**3 + 918*x**2 wrt x. 360*x**2 + 246 Find the third derivative of 2*h**5 - 64*h**3 + 88*h**2 wrt h. 120*h**2 - 384 Differentiate -102*v**4 - 5*v + 2716. -408*v**3 - 5 What is the second derivative of 64*v**4*x**2 - 6*v**2 - 2802*v*x**2 wrt v? 768*v**2*x**2 - 12 What is the derivative of -789*i**3 + i + 608? -2367*i**2 + 1 What is the second derivative of -1000*l**3 - 468*l + 2? -6000*l Find the second derivative of 2*b**3*c**4 + 2*b**3 - 26*b**2*c + b*c*l + 26*c**4*l - c wrt c. 24*b**3*c**2 + 312*c**2*l Find the second derivative of -8*g**3 + 2*g**2 + 36*g. -48*g + 4 What is the third derivative of -3916*l**3 - 7*l**2 + 272 wrt l? -23496 Differentiate -2395*l - 2820 wrt l. -2395 What is the second derivative of -203*w**4 - 2*w + 13? -2436*w**2 What is the third derivative of -1377*w**3*y - 4*w**2*y - 4*w**2 - 2 wrt w? -8262*y What is the second derivative of 5*i**3*n**2 - 866*i**3*n + i**3 - 2*i*n - 75*n**2 - 3 wrt n? 10*i**3 - 150 Find the second derivative of 37*r**3 - 9*r + 1 wrt r. 222*r Differentiate 19*b*t**2*y + b*t*y - 149*b*y + 5*t**3*y - 3*t wrt t. 38*b*t*y + b*y + 15*t**2*y - 3 What is the second derivative of 4*a**4 - 1374*a**3 - 18327*a? 48*a**2 - 8244*a What is the second derivative of -261*v**3 - 33*v - 2? -1566*v What is the first derivative of 4*b*q**3 - 27*b*q**2 + b*q - 1921*b wrt q? 12*b*q**2 - 54*b*q + b Differentiate -2*d**3*l**3 + 5*d**3*l**2 + 5280*d**3 + 319*l with respect to l. -6*d**3*l**2 + 10*d**3*l + 319 Differentiate j*t + 19611*j + 96*t with respect to t. j + 96 Find the third derivative of -201*s**2*x**3 - 3*s**2 + 7*s*x**2 + 2*s*x wrt x. -1206*s**2 What is the third derivative of -h**4 + 56*h**3 - 1409*h**2 wrt h? -24*h + 336 What is the second derivative of -3339*v**2 - 6806*v wrt v? -6678 What is the second derivative of -3*f*i**3 + f*i + 2*f + 4*i**3 + i**2 + 3*i wrt i? -18*f*i + 24*i + 2 Find the third derivative of 2*q**3*s*u**2 + 16*q**3*u**3 + 2*q**3*u**2 - 5*s**3*u**3 - 8*s**3*u - 2*u**3 wrt u. 96*q**3 - 30*s**3 - 12 What is the second derivative of 7*z**4 - 86*z**2 - 1386*z? 84*z**2 - 172 What is the second derivative of -2185*c**3 - 301*c wrt c? -13110*c What is the third derivative of 220*j**3*k**3 - 2*j**2*k**3 - j**2*k + 6*k**3 wrt j? 1320*k**3 What is the second derivative of c**2*k**2*p - 16*c**2*k*p + c**2*p - 2*c*k*p - 2*k**2*p - 4*k**2 wrt c? 2*k**2*p - 32*k*p + 2*p Find the second derivative of -194*k**3 + 5*k**2 - 3612*k. -1164*k + 10 Find the first derivative of -9194*c*f**3 + 74*f**3 - 32*f + 2 wrt c. -9194*f**3 Find the first derivative of -19*l*u**2 + 165*u**2 wrt l. -19*u**2 What is the derivative of s**4 - 324*s + 1114? 4*s**3 - 324 What is the second derivative of 2157*n**2 + 6561*n wrt n? 4314 Find the third derivative of 7575*h**4 - h**3 + 81*h**2 + 3*h - 6. 181800*h - 6 Find the second derivative of 7*a*k**2*y**2 - 15*a*k**2*y + 2*a*k*r*y**2 - 2*a*k*y**2 - k**2*r*y**2 - 5*k*y**2 wrt k. 14*a*y**2 - 30*a*y - 2*r*y**2 Find the first derivative of 2*j**3*s*x**2 - 294*j**3 + 2*j**2*s**2 + 45*s**2*x - 3*s*x**2 wrt x. 4*j**3*s*x + 45*s**2 - 6*s*x Find the first derivative of -3*a**3*l**3 - 288*a**3 + 2350*l**3 wrt a. -9*a**2*l**3 - 864*a**2 What is the first derivative of -5*a**3*y + 99*a*y + 1174*y - 2 wrt a? -15*a**2*y + 99*y Find the third derivative of 2150*t**6 - 2172*t**2 wrt t. 258000*t**3 Find the first derivative of -10891*i - 17550. -10891 What is the derivative of -6*s**3*u**4 - 944*s**3 - 88*u**4 wrt u? -24*s**3*u**3 - 352*u**3 What is the second derivative of -481*y**3 + 2*y**2 + 1558*y? -2886*y + 4 What is the derivative of 16*m**3*y - 2223*m**3 - 2*m**2*y**2 + 8*y**2 wrt y? 16*m**3 - 4*m**2*y + 16*y What is the derivative of 15*z**4 - 42*z**2 - 606? 60*z**3 - 84*z Find the third derivative of n**5 - 2916*n**3 - n**2 + 6*n + 12. 60*n**2 - 17496 What is the second derivative of 8767*y**3 - 2046*y wrt y? 52602*y What is the first derivative of 2*v**3 - 3*v**2 + 46 wrt v? 6*v**2 - 6*v Find the second derivative of -23*c**2*m**2*x**2 + 2*c**2*m*x**2 + c*m**2 - c + 11*m*x**2 wrt c. -46*m**2*x**2 + 4*m*x**2 Find the first derivative of -2*j*t*u**2 - 4*j*t - 12*j*u**3 - 9*j - 4*t*u**3 wrt t. -2*j*u**2 - 4*j - 4*u**3 Differentiate 3*d*s**3 - 95*d*s - 1103*d + 2*s**3 + s**2 with respect to s. 9*d*s**2 - 95*d + 6*s**2 + 2*s Find the second derivative of -102*a**2*n*v**3 - a**2*n*v*z + a**2*v**3 + a*n*z + 5*a*v**3 + 3*a + n*v**3*z - n*z wrt a. -204*n*v**3 - 2*n*v*z + 2*v**3 What is the first derivative of -2*d*q*x - 3*d*q + 39*d + 63*q*x - q - 31*x wrt q? -2*d*x - 3*d + 63*x - 1 What is the third derivative of -48*o**6*z - 13*o**4*z + 145*o**2*z + o**2 - 2*z + 1 wrt o? -5760*o**3*z - 312*o*z What is the second derivative of 17*a*b - a*v**3 - 4*a*v - b*v**3 - 61*b*v**2 - 2*b wrt v? -6*a*v - 6*b*v - 122*b What is the second derivative of 217*a**4 - a - 714? 2604*a**2 What is the first derivative of -91*o**4 + 3*o**3 + 2*o**2 + 895? -364*o**3 + 9*o**2 + 4*o Differentiate -19809*w**2 + 13843 wrt w. -39618*w What is the derivative of -7626*u**2 + 7628? -15252*u Find the first derivative of 10449*i**2 - i*v + v + 1171 wrt i. 20898*i - v What is the first derivative of 349*j*x**3 + 219*x**3 wrt j? 349*x**3 What is the first derivative of 8*q**4 - 11*q - 273 wrt q? 32*q**3 - 11 Find the third derivative of 9389*a**4 - 5*a**2 + 5*a + 1 wrt a. 225336*a What is the second derivative of 362*a**3 + 2*a + 125? 2172*a Find the third derivative of -2*r**4*t - 30*r**4 - 3*r**3*t - 675*r**2*t wrt r. -48*r*t - 720*r - 18*t Find the third derivative of f*y**6 + 31*f*y**4 - 37*f*y - 3*y**2 - y wrt y. 120*f*y**3 + 744*f*y What is the third derivative of 227*u**4 - 223*u**2? 5448*u What is the third derivative of 246*c**4 - 107*c**2 wrt c? 5904*c What is the derivative of -91*l**3*n**2*r + 3012*l**3*n**2 + 9*l**2*n**2*r wrt r? -91*l**3*n**2 + 9*l**2*n**2 Find the third derivative of 330*a**3*j + 435*a**2*j wrt a. 1980*j Find the third derivative of -2*u**2*v**3 + 3*u**2*v - 8*u*v**2 + 399*v**3 + 1 wrt v. -12*u**2 + 2394 Find the second derivative of -1287*b**4 + 658*b wrt b. -15444*b**2 What is the derivative of 4*k**3*n**2 - 2*k**3*n - 7*k**3 + 2*k**2 - 37*n + 52 wrt n? 8*k**3*n - 2*k**3 - 37 Differentiate 2*q**2*t + 14147*q**2 - 5*q*t - 751*t wrt t. 2*q**2 - 5*q - 751 Differentiate 233*m**2 - 1982 with respect to m. 466*m What is the derivative of 183*m**2 - m - 624 wrt m? 366*m - 1 What is the second derivative of -132*x**4 + 7*x**2 + 2202*x wrt x? -1584*x**2 + 14 Find the second derivative of -9*p*w**3 - 3*p*w**2*y + 2*p*w*y**3 - 9*p*w*y**2 + p - 12*w**3*y**3 + 6*y**3 wrt w. -54*p*w - 6*p*y - 72*w*y**3 Find the third derivative of -1086*i**4*j**2 - i**3*j**2 - 4*i**3*j + i**2*j**2 + 15*i**2*j + 442*i**2 wrt i. -26064*i*j**2 - 6*j**2 - 24*j Differentiate 3*j*k**3*s + j*k**3 - 14*j + k**2*m - 3*k**2*s - 2*k*m*s + 2*m wrt s. 3*j*k**3 - 3*k**2 - 2*k*m Find the second derivative of 206*h**3 - 4*h - 30. 1236*h What is the derivative of 54*g*t**3 + 5*g + 29*t**4 - 630 wrt t? 162*g*t**2 + 116*t**3 Find the second derivative of 52*d**3 - 2*d + 67. 312*d Find the third derivative of 19*a**3*f*y + 7*a**2*f - 3*a*f*y - 2*f + 2*y wrt a. 114*f*y What is the first derivative of -2726*j**2*o - 512*j**2 wrt o? -2726*j**2 Find the second derivative of -404*k**4 + k**2 - 1148*k. -4848*k**2 + 2 What is the derivative of -44*v*z**2 - 18*v + 42*z**2 + 6 wrt v? -44*z**2 - 18 What is the first derivative of 64*d**3 - d**2 - 6*d - 5446 wrt d? 192*d**2 - 2*d - 6 Find the third derivative of -1424*n**2*y**3 - 353*n**2*y**2 + 4*n**2 wrt y. -8544*n**2 Find the second derivative of -711*k**4*u**3 - 8*k*u**3 + 45*k*u wrt k. -8532*k**2*u**3 Find the second derivative of -337*i**2*w**2 + 2*i**2 - 2*i*w**2 - 67*i*w wrt w. -674*i**2 - 4*i Find the second derivative of 2*c**3*l + 11*c**3 + 2*c**2*l + 4*c - 9*l + 2 wrt c. 12*c*l + 66*c + 4*l What is the first derivative of -3*c**3*m + c**2*m - 9*c**2 + 40*m + 1 wrt c? -9*c**2*m + 2*c*m - 18*c Find the second derivative of 5365*b**3*u**3 - b*u**3 - 2859*u**3 + 1 wrt b. 32190*b*u**3 Differentiate -1188*h**4 + 109 wrt h. -4752
{ "pile_set_name": "DM Mathematics" }
+ 3*a, a + 553 = 3*w. What is the units digit of w? 6 Let n = -21 + 24. Suppose -3*j + 0*j = 2*z - 9, 9 = 4*z - n*j. Suppose z*l - 87 = 249. What is the tens digit of l? 1 Suppose 470 = -7*u - 237. Let h = u + 172. Let w = 211 - h. What is the hundreds digit of w? 1 Let m(f) = 141*f**2 - 91*f + 788. What is the hundreds digit of m(17)? 9 Let i = 1357 + -959. Suppose -i = -5*l + 3*d, -3*l = -0*d + 4*d - 262. Suppose 2*p = -18 + l. What is the tens digit of p? 3 Let m(t) = 5*t**3 + 27*t**2 - 8*t - 25. What is the units digit of m(11)? 9 Let f = -9 - -19. Suppose -5*n - f = 20. Let b(o) = -9*o - 44. What is the tens digit of b(n)? 1 Suppose 3*q + 2*x = 2705, -4*x = -2*q - x + 1825. Suppose 0 = -126*y + 121*y + q. What is the tens digit of y? 8 Suppose 0 = 7*y + 171 - 857. Suppose 5*v - 2*l - y = 1941, -3*l - 1227 = -3*v. What is the units digit of v? 7 Let y = 2698 - 1926. Suppose n - y = -v - 3*n, -3121 = -4*v - 5*n. What is the tens digit of v? 8 Suppose -51*i = -239*i + 1093698 + 675946. What is the thousands digit of i? 9 Let n be 4/(-60)*3 - 738/10. Let a(h) = 111*h**3 + 2*h**2 - 3*h + 2. Let v be a(1). Let s = v + n. What is the units digit of s? 8 What is the units digit of 20/((-400)/(-404220)) + 9? 0 Suppose -4*n = -2*j + 12, 4*j - 2*n = 5*j - 2. Suppose -3*o = 3*d - 2637, -6*o = -9*o + j*d + 2609. What is the tens digit of o? 7 Suppose 4*j = 2*f + 3*f + 10173, -2*f + 10194 = 4*j. Let k(m) = 2*m**3 + 2*m**2 + 31*m + 22. Let i be k(7). Suppose i = 15*t - j. What is the units digit of t? 8 Let v = -50 + 42. Let o be 0 - 0*(-4)/v. Suppose 2*q + 3*i - 141 = o, 3*q + 2*i = 8*q - 324. What is the tens digit of q? 6 Let s(g) = -2*g**2 + 72*g - 22. Let b be s(36). Let d = b - -27. What is the units digit of d? 5 Suppose -4*j = 5*g + 24, 5*g = -0*g + 5*j - 60. What is the hundreds digit of (-2842)/g + -5 + (-253)/(-44)? 3 Suppose 37*b - 200 = 32*b. Suppose 5*q - b = -20. Suppose 4*w - 5*t - 337 = 0, 2*w - q*t - 76 = w. What is the tens digit of w? 8 Suppose 45*o = 22*o + 20*o + 18594. What is the units digit of o? 8 Let c(l) be the third derivative of -l**5/10 + l**4/3 - 5*l**3/6 - l**2. Let m be c(6). Let h = m + 274. What is the hundreds digit of h? 1 Let v = 19207 + -12575. What is the thousands digit of v? 6 Let p = -8678 - -14798. Suppose -10*x - p = -16*x. What is the units digit of x? 0 What is the hundreds digit of (-32916 - -1)*((-16)/24 - 10/30)? 9 Let b be (-19)/(-38) + (-61)/2 + 9. Let n = 6 - -16. Let t = b + n. What is the units digit of t? 1 Suppose -45 = -6*f - 3*f. Let q be (6/(-5))/(-2*f/25). Suppose q*d + 828 = 7*d. What is the hundreds digit of d? 2 Let c be 2/(-8)*(-33 + 17). Suppose 2*a + 562 = 4*u, 4*a + c = -16. What is the hundreds digit of u? 1 What is the hundreds digit of (-46)/253 + (-277833)/(-33)? 4 Suppose 0 = -3*n + 6. Suppose 110 - 712 = -n*p. Let i = p + -136. What is the units digit of i? 5 Suppose 99 - 2029 = 5*j. Let u = -283 - j. What is the tens digit of u? 0 Let d(a) = -2359*a - 2254. What is the units digit of d(-11)? 5 Let s be 10*-2*(-3)/10. Let b = s - 3. Suppose b*h = 10*h - 735. What is the hundreds digit of h? 1 Let j(x) = x**2 - x - 12. Let q be j(7). Suppose -16*y + q = -y. What is the tens digit of -5 + 1 + 149 + y + -4? 4 Let p = 49759 - 29567. What is the tens digit of p? 9 Let w(z) = -z**2 - 7*z - 15. Let x(a) = -11*a**3 - a**2 + 3*a - 1. Let k be x(1). Let y be w(k). What is the tens digit of 62 - ((-6)/y - (-96)/(-45))? 6 Let g(r) = 353*r**2 + 3*r + 3. Let f be g(-1). Let z = -167 + f. Suppose 8*j - 6*j = z. What is the tens digit of j? 9 Let m(j) = 13*j**2 + j - 2. Suppose 31 = 5*d - 54. Let h = d - 19. What is the tens digit of m(h)? 4 Suppose u - 4*t = -44, 3*u = 3*t + 122 - 191. Let y(n) be the second derivative of -n**3 + 10*n**2 - n. What is the tens digit of y(u)? 1 Let d = 1281 + 643. Suppose -11*v = -14*v, -4*k + 4*v = -d. What is the hundreds digit of k? 4 Let z = -610 + 615. Suppose z*f + w = 2199, 3*f = 3*w + 58 + 1265. What is the tens digit of f? 4 Let j = -521 - -522. What is the units digit of j/((-12736)/(-1415) + -9)? 5 Let o(z) = 8*z**2 - 65*z + 173. What is the units digit of o(5)? 8 Let l(u) = 175*u**2 - 302*u - 5. What is the thousands digit of l(8)? 8 Let f(c) = 11*c + 12. Let j(d) = -7*d - 8. Let w(b) = 5*f(b) + 8*j(b). Let v be w(-22). Suppose -6*y = -42 + v. What is the units digit of y? 4 Let m = -30 + 30. Suppose -u + m*u + 6 = 0. Suppose -466 - 62 = -u*a. What is the units digit of a? 8 Suppose 29 = 2*j + j + 5*f, -4*j + 8 = -f. Let k be (-6)/(-9)*5 - (-2)/j. Suppose k*y - 125 = 3*y. What is the tens digit of y? 2 Suppose 0 = -4*w - 3*s + 16, -5*s + 20 = -2*w + 7*w. Suppose w*z - 2795 = -z. Let k = z - 300. What is the tens digit of k? 5 Suppose 120*h - 259*h = -128*h - 18051. What is the thousands digit of h? 1 Suppose -9340 = -34*l + 14*l. Let v = l + -263. What is the units digit of v? 4 Suppose 4*d = 1199 - 75. Suppose -289*r + 8896 = -d*r. What is the thousands digit of r? 1 Let v(q) = -11 - 15 - 24 + 18 + 89*q. What is the tens digit of v(8)? 8 Suppose 0 = 2*c - 20 + 12. Suppose -3*p + 8*l = 10*l - 910, -c*l - 308 = -p. What is the units digit of p? 4 Suppose -17*f + 2368 = -97. What is the hundreds digit of f? 1 Suppose 392*m - 16459128 = 992370 - 3097242. What is the tens digit of m? 1 Let s(g) = 3271*g - 1419. What is the thousands digit of s(18)? 7 Let d = 65949 - 29092. What is the ten thousands digit of d? 3 Let u(v) = -43*v**3 + 14*v**2 - 9*v - 41. What is the thousands digit of u(-12)? 6 Suppose -22*p = -16*p - 42000. Suppose -23*r = -3*r - p. What is the units digit of r? 0 Let b = -325 - -1381. Suppose -8*h + b + 3320 = 0. What is the tens digit of h? 4 Suppose -m = 2*c - 2985, 2*m + 190*c - 192*c = 5958. What is the tens digit of m? 8 Let q(r) = 2*r + 40. Let b be q(-20). What is the tens digit of b + 234 - (-6 - -4)? 3 Suppose 0 = 4*o - 4*k - 7224, 4*o = 502*k - 501*k + 7224. What is the units digit of o? 6 Let a(q) = 1038*q**2 - 2*q - 193. What is the units digit of a(6)? 3 Let d = -268 + 272. What is the hundreds digit of 3*(110 + -5 - d)? 3 Suppose 3*w + 2*a - 7786 = 0, -w + 4*a + 0*a = -2586. Suppose 3*v = -l + 143 + 1419, -3*l - w = -5*v. What is the units digit of v? 0 Let w = 92 + -71. What is the tens digit of 2/(-8)*-2598*14/w? 3 Suppose -s + 9 + 7 = 3*v, -4*s = 2*v - 94. Suppose -59 = -7*x + s. What is the units digit of (-60)/(-9)*x - 3? 7 Suppose -8*p - 21076 + 165444 = -77008. What is the thousands digit of p? 7 Let n be (-6214)/(-4) + (-119)/14 + 8. Let m = -659 + n. What is the units digit of m? 4 What is the hundreds digit of -2 + 2 - (-6954 - (-5 - -7))? 9 Suppose 0 = 2*o - 4*i - 6872, -5*o - i = -22650 + 5492. What is the units digit of o? 2 Let g = 2387 - -2111. What is the thousands digit of g? 4 Suppose -4*f - 6*i + 9*i - 7 = 0, -f + 2*i - 8 = 0. Suppose -f*y = -4*k - 1024, 5*y + 2*k - 3814 + 1194 = 0. What is the tens digit of y? 2 Suppose -2*a - 3*g + g = -9492, 0 = -2*g - 4. Suppose -12752 = -29*w - a. What is the tens digit of w? 7 Let x(d) = -12*d**2 + 2*d + 4. Let k be x(-1). What is the hundreds digit of (-1018)/8*(0 + k + -2)? 5 Let w be (18/(-4))/(-3) + (-136)/(-16). Let s be w/(-15)*(-321)/(-2). Let l = -105 - s. What is the units digit of l? 2 Let g(b) = 2. Let s(a) = 185*a**3 + a**2 - 2*a + 4. Let i(h) = -g(h) + s(h). Let d(f) = f**3 + 2*f**2 - 4*f - 2. Let k be d(-3). What is the tens digit of i(k)? 8 Suppose 17*k = 27962 + 31368. What is the tens digit of k? 9 Suppose 0 = -10*n + 2*n + 6360. Suppose 5*d = 4*x - n, 0 = 4*x - 3*x + 3*d - 220. What is the units digit of x? 5 Let a = -200 - -202. Suppose -s = -a*s + 598. What is the hundreds digit of s? 5 Let w be -5*(-22)/(3/((-30)/2)). Let q = w - -1043. What is the tens digit of q? 9 Suppose 17 = 2*g - 17. Suppose g*k + 16 = 18*k. What is the hundreds digit of (186 + 1 + -1)*k/24? 1 Suppose -38*w = -28*w - 87730. What is the thousands digit of w? 8 Let o(c) = -8*c - 22. Let u(i) = -11*i - 32. Let t(y) = 4*o(y) - 3*u(y). Let b be (0 + -1)*(7 + 0). What is the units digit of t(b)? 1 Let g(m) be the third derivative of 5*m**4/24 - 11*m**3/3 + 11*m**2. Let c be g(12). Let z = 28 + c. What is the units digit of z? 6 Let p(k) = -k**3 - 7*k**2 - 4*k + 6. Let t be
{ "pile_set_name": "DM Mathematics" }
o*w**2 + u*w**3 + k + n*w and give o. 0 Express 52 + 12 - 65 + s**4 + 37*s**3 in the form r*s + d*s**2 + i*s**4 + f + v*s**3 and give i. 1 Rearrange (-2 + 5 - 4*k - 5)*(-35*k**2 + 72 - 72) to the form n*k**3 + f*k + q + h*k**2 and give h. 70 Express -15*n**2 + 8 + 7*n**4 - 9*n**4 - 4 in the form x*n**4 + u*n**2 + j*n**3 + v + q*n and give q. 0 Express h + 4235 - 4235 + 27*h**2 as c*h**2 + y*h + a and give c. 27 Express (-20 - 7 + 1)*(-2*a + 3*a + 0*a) as r + g*a and give g. -26 Express -16 + 0*h - 83 + 2*h - 7 as q*h + k and give q. 2 Rearrange -1088*o - 100*o**3 + 5 + 1110*o + 101*o**3 to the form x*o + d*o**3 + p + n*o**2 and give d. 1 Express -188*v + 217*v - 791*v as b*v + d and give b. -762 Rearrange 5*l**2 - l**2 - 3*l**2 + (15 - 12*l**2 - 15)*(-1 + 0 + 0) + 4*l**2 - 6*l**2 + 4*l**2 to f + o*l**2 + j*l and give o. 15 Rearrange -i + 282 - 2*i + i - 11*i**3 - 289 to the form o*i + u + x*i**2 + h*i**3 and give h. -11 Express 27647*x**3 - 27651*x**3 + 5*x - 5*x + 28*x**2 in the form o + c*x + m*x**3 + p*x**2 and give p. 28 Rearrange 52*o**2 - 112*o**2 - 2*o**3 + 21 - o - o + 60*o**2 to c + z*o**2 + a*o**3 + l*o and give z. 0 Rearrange ((-14 + 14 - p)*(-3 + 0 + 4) + (6 + 8 - 8)*(-2*p + 3 - 3))*(-1 - 2*p + 0*p + p) to z*p + k*p**2 + u and give z. 13 Express (0 + 1 - 2)*(-13*c**3 - 20*c**3 - 8*c**3) in the form l*c**3 + p*c + d + x*c**2 and give l. 41 Rearrange 2 - 6 + 4 + 5*g - 2 to the form p*g + n and give p. 5 Rearrange (0*u**2 - u**2 - u**2)*(49*u - 94*u + 3*u)*(2*u + 2 - 2) + 2*u**4 - 2*u**4 - 2*u**4 to x*u**2 + s*u**4 + o*u + y + t*u**3 and give s. 166 Express 3*d**3 + d**4 + 8*d - 2*d**4 - d**2 - 4*d**4 as z*d**3 + a*d**2 + y*d**4 + g*d + v and give y. -5 Rearrange (4*q + 4*q + 2*q)*(1 + 5 - 7 + 0)*(2*q - 1 + 1) to k + g*q + p*q**2 and give p. -20 Express 49*y**2 + 26*y - 11*y - 9*y - 10*y as i*y + v + d*y**2 and give d. 49 Express 4*y**4 + 2*y**3 - 2*y**3 + (0*y - 97*y**3 + 0*y + 115*y**3)*(y + 3*y - y) in the form f*y + q*y**3 + i*y**2 + l*y**4 + p and give l. 58 Rearrange -d**3 + 4*d**3 + 6*d**3 - 2*d**2 + 3*d - 3*d**3 + 2*d**4 - 4*d**3 to the form u*d**3 + i*d**4 + s + x*d + y*d**2 and give x. 3 Express (r + 4*r - 19*r)*(-2 + 2 + 31) as w*r + a and give w. -434 Express -u + u - 3*u**2 + (u + 4*u - 2*u)*(145 - 145 - 108*u + (-1 + 1 - 1)*(u - 3*u + 3*u)) in the form n*u + l + v*u**2 and give v. -330 Express (0 + 0 + n)*(3 - 3 - 2*n)*(-255*n - 345*n + 1047*n) in the form z*n + g*n**3 + m + h*n**2 and give h. 0 Express 1911*b + 243033*b**3 - 4 + 4 - 243031*b**3 as j*b**2 + h*b + z*b**3 + o and give z. 2 Express -473*i**2 - 86*i**2 + 145*i**2 in the form s*i + w + x*i**2 and give x. -414 Express i**4 - 2 - 54*i**2 + 2*i + 30*i**2 + 25*i**2 + 50*i**3 in the form t*i**3 + x*i + k + f*i**2 + y*i**4 and give k. -2 Rearrange 0 + 0 - 513*w + 637*w to i + q*w and give q. 124 Rearrange (-6561*g**2 + 13583*g**2 - 6600*g**2 + 2)*(-3*g**2 + 0*g**2 + g**2) to r + d*g**3 + f*g**4 + j*g + q*g**2 and give q. -4 Express 2651*s**3 + 2 - 2590*s**3 - 6 in the form j + x*s + t*s**2 + c*s**3 and give c. 61 Rearrange 8*u + 4*u**2 - 4*u**2 - 7*u - 2*u**3 - 2*u**2 to the form g*u + a*u**2 + r*u**3 + d and give a. -2 Express 127*d + 142*d**2 - 127*d + 3*d**3 - 2*d**3 + 1 + 1 as s + l*d**3 + a*d + q*d**2 and give l. 1 Express 546 - 483*y**3 - 546 + (-2*y + y + 3*y)*(-4*y**2 + 2*y**2 + 4*y**2) as c*y + z + f*y**3 + s*y**2 and give f. -479 Express 2*j**4 - 5*j**3 + 12*j**4 + 0*j**4 + 3*j**4 - 7*j in the form q*j**4 + s*j**3 + b*j**2 + v*j + t and give s. -5 Rearrange 76*t + 293*t - 54*t + 2*t**3 to the form n*t**3 + w*t**2 + m + h*t and give n. 2 Express 64*y + 5 - 138*y**2 - 1 - 4 - 66*y in the form t*y + v*y**2 + o and give t. -2 Express -76*b + b - 9*b - 34*b in the form k + h*b and give k. 0 Express (j**2 + j**2 - j**2)*(6 + 0 - 5) + (-2*j + j + 2*j)*(7*j - 6*j + 20*j) + j**2 - j**2 + j**2 as z*j + b + h*j**2 and give h. 23 Rearrange -19*t + 7*t**3 - 27*t + 6*t**2 + 44*t - 3 to the form l*t + d + f*t**2 + a*t**3 and give a. 7 Rearrange (259 - 657 - 108 - 113 - 1251)*(-b + 0*b + 0*b) to m*b + x and give m. 1870 Express -6 + 25 - 11 - 6 + 7*t**2 + 20*t - 21*t - 9*t**3 as a*t**2 + i + v*t**3 + l*t and give a. 7 Rearrange (-3 + 2 + 3)*(-96 + 96 + 17*h) + 25*h + 52*h + 60*h + 30*h to k*h + d and give k. 201 Express 2*o**3 - 4*o**2 + 4*o**2 + 7748*o - 7747*o - 82 as z + m*o + u*o**3 + b*o**2 and give m. 1 Rearrange 9*t + t**2 + 8 + t**3 - 17 + 0 to p*t**2 + g + f*t + r*t**3 and give r. 1 Rearrange -66 + 20 + 21 + 25 - 572*y**2 to the form l*y**2 + z*y + g and give l. -572 Express 40*p - 5*p**3 - 15*p - p + (0*p - 2*p + p)*(0*p - 4*p + 5*p)*(0*p + p + p) as q*p + m*p**2 + n + d*p**3 and give d. -7 Express (3 - 3 + 2)*(3*y + 2*y + 38 + y - 37) as u*y + w and give u. 12 Express 3*t**2 + 2*t**2 + t - 3*t**2 + 2*t**2 - 2*t**2 + 2*t**2 + (3*t + t - t)*(314*t + 154*t - 57*t) in the form x*t**2 + q*t + k and give x. 1237 Express -g + 53783 + 63*g**2 - 53783 as k + n*g + t*g**2 and give t. 63 Rearrange (542 - 99*v - 542)*(121 - 9*v - 121) to the form o*v + d + n*v**2 and give n. 891 Express (-1 + 4 + 2)*(2 + 1 - 1)*(-1 + 1 + 2)*(33*s - 31*s - 4*s**3 + 12*s**3) + s**2 + s**3 - s**2 in the form j*s + c*s**2 + u*s**3 + q and give u. 161 Rearrange -2*s - 228*s**3 + 252*s**3 - s + 2*s to i + c*s**2 + b*s + y*s**3 and give y. 24 Rearrange -3*j**2 + 21*j + 3*j**2 - 5*j**2 - 7*j**2 - 7*j to the form m*j + k + i*j**2 and give m. 14 Express 3*n**3 + n - 60 - 7*n**2 + 0*n - 10 + 7*n**2 in the form a*n**2 + v*n + l + p*n**3 and give v. 1 Rearrange -4*m**3 + 6*m**3 + 2*m**3 + (-72 + 6*m - 140 - 4*m)*(5*m**2 + 0*m**2 - 4*m**2) to the form y*m**3 + c*m + h + x*m**2 and give y. 6 Express (-1 + 2 - 2)*(k - 4*k + 5*k) + 11 - 72*k - 21 + 43*k - 31 in the form f*k + n and give n. -41 Rearrange (264 - 129*x - 264 + 1733*x)*(x**2 - 3 + 3) to the form y*x**3 + i*x**2 + z*x + h and give y. 1604 Rearrange 50*c - 26*c - 26*c - 25*c**2 to y*c**2 + u*c + s and give u. -2 Rearrange (-3 - 2*w**3 + 3)*((-w - 1 + 1)*(2 + 3 - 3) - 298*w - 141*w - 618*w - 521*w) to f*w**3 + p*w**4 + i*w + o*w**2 + s and give p. 3160 Express -11*o - 11*o + o + 2*o**2 - 21*o + o**2 as x*o**2 + q*o + i and give x. 3 Rearrange 853 + 959 - 1643 - 4*x**3 to the form n*x**2 + w*x + i + s*x**3 and give s. -4 Rearrange -32*a**2 + 347*a - 347*a + (0 + 0 + 3*a)*(-2*a + a + 0*a) to the form g*a + v*a**2 + w and give v. -35 Rearrange (260*q + 2 + 4*q**2 - 261*q - 11*q**2)*(-7 + 1 + 0) to k*q**2 + i + j*q and give j. 6 Express 28 + 2*h + 95 - 39 + 0*h as z*h + v and give z. 2 Express 7*g**2 + 2 - 4*g**4 + 12*g - 4*g + 2*g**4 - 9*g as o*g**2 + n*g**3 + r + f*g**4 + y*g and give o. 7 Express 9*h**3 + 14 - 139 + 14*h**3 - 21*h**3 in the form b*h**2 + l*h + y*h**3 + m and give b. 0 Rearrange 192*t + 319*t - 53*t to the form v + a*t and give a. 458 Express (-646 - 196*d + 646)*(4 - 5 + 2)*(d + d + d)*(1 - 2 + 0) as w + x*d**2 + o*d and give x. 588 Express -342*z**3 + 340*z**3 + 2*z - 16*z as l*z**3 + a*z + c*z**2 + v and give a. -14 Express -20 + 2*s + 26 - 26 as u + z*s and give z. 2 Rearrange -9*f - 8*f + 19*f + 25*f**2 + 2*f + 0*f - 1 to the form c*f**2 + m + l*f and give c. 25 Rearrange 136*i - 3*i**3 - i**4 + 2 + 10*i**2 - 130*i + 2*i**3 to f + d*i**3 + a*i**4 + x*i**2 + v*i and give f. 2 Express 16*d**4 + 2*d**2 - 28413*d**3 + 28413*d**3 - 18 as m*d**4 + v*d**3 + u + w*d**2 + x*d and give u. -18 Rearrange 125*b + 27*b + 76*b + 5*b to a*b + w and give a. 233 Rearrange 6*q**2 + q - q + q**2 + 2 - 2 + 12*q**2 + 13*q**2 - 34*q**2 + (-2 - 5 + 5)*(0*q**2 + 2*q**2 + 0*q**2) to c*q**2 + m*q + b and give m. 0 Rearrange -i**3 - 7 + 0 + 4 - 5*i**3 + 2*i to the form f*i + x*i**2 + a*i**3 + m and give a. -6 Express (-k + 4 - 4)*(-60 + 31 + 30 + 176*k) as o + h*k**2 + a*k and give o. 0 Rearrange -200452 + 200452 + 1592*b to g + u*b and give g. 0 Rearrange -101298*d**4 + 2*d + 0*d + d**2 + 101300*d**4 - 5*d**3 to f*d**4 + k + c*d**3 + x*d + b*d**2 and give c. -5 Express 2*k**4 - k**4 - 2*k**4 + (2*k**3 - 3 + 3)*(k - 3 + 3) + 948 + 3*k**4 - 7*k**4 - 990 as w + h*k + s*k**3 + d*k**2 + y*k**4 and give y. -3 Rearrange -1 - 4*f - f - 1 + (-2 - 1 + 2)*(-3 + 3 - f) - 6*f - 5*f + 5*f + (-2*f - f + f)*(2 - 2 + 1) - 5*f + 3*f + 4*f to v*f + i and give v. -1
{ "pile_set_name": "DM Mathematics" }
o**3 - 84*o + 1/2*o**2 + 3/20*o**5 - 7/12*o**4 + 0. Let i(t) = -2*t**3 + 4*t**2 - 1. Calculate -5*i(j) - 3*y(j). j**3 + j**2 + 2 Let o = -10 + 15. Let n be 62/(-10) - (-9)/45. Let d(z) = 4*z**3 - 9*z**2 - 5*z. Let v(m) = 3*m**3 - 8*m**2 - 4*m. Determine n*v(p) + o*d(p). 2*p**3 + 3*p**2 - p Let q(j) = 26*j + 335. Let v(p) = -9*p - 3. Calculate q(o) + 3*v(o). -o + 326 Let o(z) = -197*z - 197*z + 16 - 189*z + 596*z. Let a(c) = 26 + 3*c - 5 - 9 - 8. Calculate 9*a(g) - 2*o(g). g + 4 Let c(y) = -5*y + 2. Let u(w) = -w. Suppose -97*d = -558 + 655. Determine d*c(j) - 4*u(j). 9*j - 2 Let p(t) = 57*t + 238. Let w(j) = -38*j - 159. Determine -5*p(x) - 7*w(x). -19*x - 77 Let f(r) = -2*r**3 - 2*r**2 - r + 10. Let k(x) = -11*x**3 - 303*x**2 - 5*x + 62. What is -6*f(a) + k(a)? a**3 - 291*a**2 + a + 2 Let p(b) = 7*b - 6. Let y(r) = 2*r - 1. Let c(v) = 2*p(v) - 9*y(v). Let l = -72 + 78. Let f(w) = 3*w + 2. Give l*f(d) + 5*c(d). -2*d - 3 Let z(b) = -3300*b**2 - 121*b + 121. Let g(x) = -55*x**2 - 2*x + 50. Let q(s) = -55*s**2 - 2*s + 46. Let w(f) = -11*g(f) + 12*q(f). What is -121*w(c) + 2*z(c)? 55*c**2 Let k(i) = -5*i**3 + 14*i**2 - 5*i. Let y = -299 - -303. Let a(w) be the third derivative of w**6/60 - w**5/12 + w**4/12 + 7*w**2. What is y*k(j) + 11*a(j)? 2*j**3 + j**2 + 2*j Let u(g) = 22*g + 75. Let j(n) = -6*n - 16. What is 18*j(q) + 4*u(q)? -20*q + 12 Let s(l) = -13*l - 10. Let y be 0*4/28 + -2. Let i(v) = 25*v - 13. Let n(g) = -8*g + 3. Let x(h) = y*i(h) - 7*n(h). What is -4*s(j) - 9*x(j)? -2*j - 5 Let n(m) = 8*m**2 - 37*m + 403. Let d(l) = 4*l**2 - 15*l + 201. Give 5*d(p) - 2*n(p). 4*p**2 - p + 199 Let l(i) = -3806*i - 122. Let x(q) = 3803*q + 146. What is 6*l(t) + 5*x(t)? -3821*t - 2 Let m(n) = -2*n + 10. Let i(p) = -p + 5. Suppose 26 = 19*r - 114 + 7. Calculate r*i(f) - 3*m(f). -f + 5 Let b(s) = 14*s - 222. Let u(m) = 5*m - 74. What is -4*b(d) + 11*u(d)? -d + 74 Let t(f) = 4*f**3 + 5*f + 3. Let i(j) = 66479*j - 66485*j + 13 - 5*j**3 + j**2 - 17. What is 3*i(r) + 4*t(r)? r**3 + 3*r**2 + 2*r Let g(w) = 2*w**3 - 4*w**2 + 4*w - 5. Let h = -7 + 11. Let n(i) = -12*i**2 + 11*i + 7841 - 15693 + 7838 + 6*i**3. Calculate h*n(x) - 11*g(x). 2*x**3 - 4*x**2 - 1 Let t(o) = 7*o**3 + 3*o + 6. Let f(q) = -q**3 + q**2 + 5. Let w(d) = 11*d**3 - 3*d**2 + 2*d - 8. Let h(z) = -3*f(z) - w(z). Give 5*h(c) + 6*t(c). 2*c**3 + 8*c + 1 Let v = -366 - -363. Let s(l) = -4*l**3 + 7*l - 3*l**3 - 20 + 20 - 5*l**2. Let n(z) = -4*z**3 - 3*z**2 + 4*z. Give v*s(f) + 5*n(f). f**3 - f Let c be -3 + (-5380)/28 + 1/7. Let d = c - -173. Let u(y) = 1. Let m(z) = -z**3 - 2*z**2 + z + 11. Give d*u(x) + 2*m(x). -2*x**3 - 4*x**2 + 2*x Let s be ((5 + 0)*-2)/((-38)/(-19)). Let x(y) = 52 - 48 - 2*y + 0*y. Let h(i) = -4*i + 7. Give s*x(m) + 3*h(m). -2*m + 1 Suppose -6*w + 26*n - 10 = 24*n, 18 = -2*w - 3*n. Let c(p) = 11*p**2 + 2*p + 2. Let b(k) = -10*k**2 - 2*k - 1. Calculate w*b(t) - 2*c(t). 8*t**2 + 2*t - 1 Let j(m) = -18*m + 56. Let y(b) = 79*b - 225. Give 9*j(q) + 2*y(q). -4*q + 54 Let o(w) = -1590*w - 1. Let t(g) = 1590*g. Determine 2*o(n) + 3*t(n). 1590*n - 2 Let t(n) be the third derivative of -n**6/120 - n**5/30 - n**4/12 - 4*n**3/3 + 514*n**2. Let b(k) = -5*k**3 - 9*k**2 - 9*k - 32. Determine -2*b(y) + 9*t(y). y**3 - 8 Let w(a) = 9*a - 2. Let h(f) = -4*f**3 - 12*f**2 - f + 8. Let d be h(-2). Let y(o) = -10*o + 3. Calculate d*y(q) - 7*w(q). -3*q - 4 Let d(m) = -1837*m**3 - 3*m**2 - 3*m. Let i(v) = -562121*v**3 - 917*v**2 - 917*v. Determine -917*d(o) + 3*i(o). -1834*o**3 Let d(l) = l**2 + 34. Let s(t) = 8997*t**2 + 101966. Calculate 2999*d(c) - s(c). -5998*c**2 Let c(b) = 99*b**2 + 5*b. Let g(m) be the first derivative of 50*m**3/3 + 3*m**2/2 - 2115. Give -3*c(t) + 5*g(t). -47*t**2 Let z(g) = 277*g + 22. Let j(p) = 38*p + 3. Let i(h) = 15*j(h) - 2*z(h). Let q(u) = -49*u - 3. What is -11*i(n) - 4*q(n)? 20*n + 1 Let t(v) = 6*v - 9. Let m(j) = -j**2 - 5*j + 8. Let a(y) = -372*y - 2981. Let p be a(-8). Determine p*t(g) - 6*m(g). 6*g**2 - 3 Let l(j) = 5*j. Suppose -1 = -4*g + 5*p + 1, -4*g - 2 = -3*p. Let k(y) = -6*y. Let d = 39 + -147. Let q be (2/6)/(12/d). Calculate g*k(i) + q*l(i). -3*i Let n(u) = -7*u**3 + 3*u**2 + 3*u - 492. Let v(p) = 9*p**3 - 4*p**2 - 4*p + 490. Give 4*n(r) + 3*v(r). -r**3 - 498 Let w(x) = 14*x**2 - 5*x + 14. Let c = 12923 + -12926. Let o(u) = -5*u**2 + 2*u - 5. Determine c*w(r) - 8*o(r). -2*r**2 - r - 2 Let o(z) be the third derivative of -z**4/24 + 2*z**2. Let h(j) = -3*j + 1. Let t = 240 - 174. Let l be 6/(-4)*t/(-99). Calculate l*h(g) - 5*o(g). 2*g + 1 Let v(i) = -17*i**2 - 4*i - 11. Suppose -3*q - 14 = 4. Let w(d) = 8*d**2 + 2*d + 5. Suppose -2*z - 29 = 3*b, -149*z + 150*z - 8*b + 5 = 0. Give q*v(g) + z*w(g). -2*g**2 - 2*g + 1 Let q(a) = -210*a**2 - 667*a + 47. Let d(x) = -97*x**2 - 333*x + 22. Give 13*d(t) - 6*q(t). -t**2 - 327*t + 4 Let v(c) = -16*c**3 - 10*c**2 + 3. Let q(s) = 9*s**3 - 1. Calculate 2*q(k) + v(k). 2*k**3 - 10*k**2 + 1 Let f(b) = 527*b**2 + 1. Let r(d) = -526*d**2 + d - 1. Determine 4*f(h) + 3*r(h). 530*h**2 + 3*h + 1 Let m(w) = -645*w - 25. Let d(h) = 645*h + 34. What is -3*d(v) - 4*m(v)? 645*v - 2 Let t(v) = -10*v**3 - 4. Let x(h) be the first derivative of -119*h**4/4 - 49*h - 1525. What is -49*t(a) + 4*x(a)? 14*a**3 Let n(d) be the first derivative of -2*d**3/3 + d**2/2 - 7*d - 4047. Let t(z) = -2*z**2 - 8. What is 6*n(m) - 5*t(m)? -2*m**2 + 6*m - 2 Let g(a) = -5*a**2 - 3. Let i(o) = -2 - 9*o**2 + 0 + 1679*o - 4 + 1 - 1680*o. Give 5*g(s) - 3*i(s). 2*s**2 + 3*s Let c = -2434 - -2427. Let y(v) = 3*v**2 - 7. Let g(i) = -3*i**2 + 6. Calculate c*g(x) - 6*y(x). 3*x**2 Let g(b) be the third derivative of -b**5/12 + b**4/24 - b**3/2 + 1063*b**2. Let v(r) = 4*r**2 - r + 4. What is -4*g(n) - 3*v(n)? 8*n**2 - n Let q(l) = -2*l**3 + 7*l + 2. Let w(a) = -15*a - 789. Let v be w(-52). Let g(d) = 5*d**3 - d**2 - 15*d - 5. What is v*q(i) - 4*g(i)? -2*i**3 + 4*i**2 - 3*i + 2 Suppose 5*u - 2*i - i = 7, -u + 3*i = 1. Let h(y) = y**2 + 1. Let r(m) = m**3 - m**2 + 2*m + 6. Let l be r(0). Let a(v) = 3 - 3 - 4 + l. Give u*a(k) - 4*h(k). -4*k**2 Let y(r) = 2*r**2 + 4. Let b(x) = -6*x**2 - 27. Let t(s) = 3*s**2 + 13. Let j(u) = -6*b(u) - 13*t(u). Suppose 17*m - m - 160 = 0. Give m*y(n) + 6*j(n). 2*n**2 - 2 Let g(j) = 109*j - 94. Let w(t) = -92*t + 92. Give 5*g(p) + 6*w(p). -7*p + 82 Let m(n) = -143*n**2 + n + 60. Let j(r) = -429*r**2 + 2*r + 199. What is -3*j(b) + 10*m(b)? -143*b**2 + 4*b + 3 Suppose -25 - 44 = -16*b - 5. Let v(n) be the first derivative of -b + 1/2*n**2 + 3*n. Let j(x) = -2*x - 7. Calculate -2*j(g) - 5*v(g). -g - 1 Suppose 0 = 13*a - 1063 + 257. Suppose 44*b + a = -70. Let s(u) = -6*u**3 + u**2 - 3*u + 3. Let g(o) = -17*o**3 + 2*o**2 - 8*o + 8. Determine b*g(t) + 8*s(t). 3*t**3 + 2*t**2 Let h(v) = -11*v - 3662. Let m(w) = 17*w + 5487. Determine -14*h(l) - 9*m(l). l + 1885 Let f(d) = 48*d + 146. Let c be f(-3). Let w(s) = -999*s**3 + 81*s**2 + 81*s. Let p(v) = 25*v**3 - 2*v**2 - 2*v. Determine c*w(g) + 81*p(g). 27*g**3 Let t(y) = -276. Let b(g) = -2*g + 5. What is -b(f) - t(f)? 2*f + 271 Let r = 2 + 1. Let u(j) be the third derivative of -11*j**4/24 + j**3/3 - 4*j**2 + 12*j + 68. Let x(c) = 21*c - 3. Determine r*x(d) + 5*u(d). 8*d + 1 Let j(b) = 113*b - 191. Let h(w) = -w - 32. Calculate -6*h(l) + j(l). 119*l + 1 Let k(r) = -14*r - 21. Suppose -411 + 33 = -18*o. Let b be (20 - 19)*1/(-1). Let g(l) = -l - 1. What is b*k(a) + o*g(a)? -7*a Let f(l) = -l**2 + l. Let s(c) = -213*c**2 + 852*c. Calculate 852*f(h) - s(h). -639*h**2 Let x(h) = 4*h - 15. Let i(l) = -21*l - 31*l - 5 + 54*l - 2. Let f be 4/6*(-567)/(-42). Determine f*i(t) - 4*x(t). 2*t - 3 Let w(f) = 755293*f - 3465. Let k(p) = -1309*p + 6. Calculate 1155*k(o) + 2*w(o). -1309*o Let x(z) = -14*z**2 - 23*z + 8. Let s(k) = -5*k**2 - 8*k + 3. Let v be (0/2 - 6)/(-2). Suppose 17 = f - 5*t, -3*f - 9 - 20 = t. Calculate f*s(j) + v*x(j). -2*j**2 - 5*j Let a(g) be the second derivative of 7*g**3/2 - 2157*g. Let j(b) = 43*b + 1. Calculate 5*a(c) - 2*j(c). 19*c - 2 Let r(d) = -d**3 + d**2 + d - 1. Let i(u) = -u**3 - 2*u**2 - 2*u. Let l = -360 - -362. Let g = l - 3. Let h be (1 + 0)*(7 + -9). What is g*i(t) + h*r(t)? 3*t**3 + 2 Let j(n) = -201*n - 4474. Let g(b) = 543*b + 11931. Determine 10*g(i) + 27*j(i). 3*i
{ "pile_set_name": "DM Mathematics" }
{q: 3, g: 2, h: 4, k: 1, i: 1, f: 1}. Give prob of picking 1 h and 1 q. 2/11 Calculate prob of picking 1 t and 1 l when two letters picked without replacement from llnlgut. 1/7 Four letters picked without replacement from jrbrjrrrbrr. Give prob of picking 1 b and 3 r. 7/33 Four letters picked without replacement from {m: 1, r: 1, v: 1, s: 2, y: 1, b: 1}. What is prob of picking 1 y, 1 r, and 2 s? 1/35 Two letters picked without replacement from {e: 2, g: 1, h: 1, n: 7, u: 1, w: 5}. What is prob of picking 1 u and 1 h? 1/136 Three letters picked without replacement from aaaaaaaaaaaaaae. What is prob of picking 1 e and 2 a? 1/5 Two letters picked without replacement from oioii. What is prob of picking 2 o? 1/10 What is prob of picking 1 p, 1 w, and 2 s when four letters picked without replacement from {s: 4, p: 10, w: 6}? 24/323 Two letters picked without replacement from {q: 2, m: 1, c: 1, u: 1, i: 1, g: 1}. What is prob of picking 1 q and 1 c? 2/21 Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, b: 1, i: 1, s: 3}. 1/21 Two letters picked without replacement from vdvdddvvdvmvdvdddvm. Give prob of picking 1 d and 1 m. 2/19 Two letters picked without replacement from {q: 2, h: 1, a: 2, o: 1, j: 1, c: 2}. Give prob of picking 1 a and 1 q. 1/9 Calculate prob of picking 3 h when three letters picked without replacement from {l: 2, n: 2, f: 4, o: 1, h: 5}. 5/182 Three letters picked without replacement from ieiieeieei. Give prob of picking 3 i. 1/12 Two letters picked without replacement from zzrzrfzzzzzzzzf. What is prob of picking 2 f? 1/105 What is prob of picking 1 s and 3 k when four letters picked without replacement from {p: 3, s: 13, k: 4}? 52/4845 Three letters picked without replacement from {m: 2, l: 8, o: 4}. Give prob of picking 3 o. 1/91 Three letters picked without replacement from {l: 4, t: 8, x: 8}. Give prob of picking 1 l, 1 t, and 1 x. 64/285 Calculate prob of picking 3 l when three letters picked without replacement from {l: 4, j: 2, g: 1, h: 3, a: 7}. 1/170 Four letters picked without replacement from ubbbubuuuubub. Give prob of picking 4 u. 7/143 Calculate prob of picking 1 i and 2 s when three letters picked without replacement from {i: 1, j: 1, y: 4, n: 4, s: 3, p: 4}. 3/680 Four letters picked without replacement from {u: 7, f: 8, m: 3}. What is prob of picking 1 m, 1 u, and 2 f? 49/255 What is prob of picking 2 z, 1 e, and 1 b when four letters picked without replacement from lezsbolbz? 1/63 Two letters picked without replacement from {k: 1, t: 1, w: 5, g: 4}. What is prob of picking 2 w? 2/11 Two letters picked without replacement from kkkkakkkkkkkkakkkkk. What is prob of picking 2 a? 1/171 What is prob of picking 1 n, 1 w, and 1 c when three letters picked without replacement from wbceqwn? 2/35 Calculate prob of picking 2 q and 1 c when three letters picked without replacement from qqqqacqqkqqckqackkq. 45/323 What is prob of picking 3 k when three letters picked without replacement from tttttkkkttktkt? 5/182 Three letters picked without replacement from {u: 1, q: 1, o: 1, j: 1, x: 1}. What is prob of picking 1 q, 1 x, and 1 u? 1/10 Three letters picked without replacement from {w: 2, i: 5, y: 2}. What is prob of picking 2 y and 1 i? 5/84 Calculate prob of picking 1 p and 3 s when four letters picked without replacement from ppspsssssspsspssps. 22/51 What is prob of picking 3 p when three letters picked without replacement from {z: 1, q: 1, x: 3, s: 1, p: 3, m: 2}? 1/165 What is prob of picking 2 r when two letters picked without replacement from {s: 3, r: 4, c: 3, o: 3}? 1/13 Four letters picked without replacement from ccwowooc. Give prob of picking 1 c and 3 o. 3/70 Four letters picked without replacement from hjhjahhjjajjhjlhhh. Give prob of picking 1 l, 1 a, and 2 h. 14/765 What is prob of picking 2 l and 2 o when four letters picked without replacement from {o: 10, l: 2}? 1/11 Calculate prob of picking 2 v and 1 r when three letters picked without replacement from {p: 1, v: 16, r: 3}. 6/19 What is prob of picking 1 d and 1 h when two letters picked without replacement from bvhrd? 1/10 Calculate prob of picking 2 o when two letters picked without replacement from {a: 4, o: 3}. 1/7 What is prob of picking 1 u and 1 n when two letters picked without replacement from {n: 16, u: 4}? 32/95 What is prob of picking 1 o and 1 m when two letters picked without replacement from rrmooaommomomaaoo? 35/136 What is prob of picking 1 t and 1 o when two letters picked without replacement from tmttnitonttinnn? 2/35 Four letters picked without replacement from {n: 2, r: 1, d: 5, x: 8, a: 2}. Give prob of picking 3 x and 1 a. 28/765 What is prob of picking 1 z and 1 b when two letters picked without replacement from {b: 1, o: 4, d: 2, f: 3, z: 2}? 1/33 Two letters picked without replacement from wywwwwwwyww. Give prob of picking 2 w. 36/55 What is prob of picking 1 d and 2 z when three letters picked without replacement from {d: 7, n: 1, z: 8, y: 2}? 49/204 Four letters picked without replacement from uuuuuummumu. Give prob of picking 3 u and 1 m. 28/55 Two letters picked without replacement from xxxxrrxxxxx. Give prob of picking 2 x. 36/55 Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {t: 2, m: 1, s: 2, r: 4, p: 1, w: 2}. 1/33 Four letters picked without replacement from {p: 7, r: 1, a: 1, q: 9}. Give prob of picking 3 p and 1 r. 7/612 Calculate prob of picking 1 b, 1 f, and 2 t when four letters picked without replacement from fffttfffbtbftt. 20/143 What is prob of picking 1 l, 1 r, and 2 b when four letters picked without replacement from rroorruobloorrrrrbrr? 11/4845 Three letters picked without replacement from {f: 4, k: 4, w: 3}. Give prob of picking 1 w and 2 k. 6/55 What is prob of picking 2 r when two letters picked without replacement from {o: 1, r: 2}? 1/3 Two letters picked without replacement from {g: 2, h: 1, x: 2, s: 4, p: 1}. Give prob of picking 1 g and 1 x. 4/45 Calculate prob of picking 3 o when three letters picked without replacement from ooooooooo. 1 What is prob of picking 1 h and 1 g when two letters picked without replacement from qggqtgtqhtt? 3/55 Three letters picked without replacement from eysyuzvz. What is prob of picking 1 s, 1 e, and 1 z? 1/28 What is prob of picking 2 u and 1 y when three letters picked without replacement from {j: 2, s: 3, n: 1, g: 9, u: 2, y: 1}? 1/816 What is prob of picking 1 s, 1 a, and 1 u when three letters picked without replacement from asuid? 1/10 Calculate prob of picking 1 f, 2 p, and 1 b when four letters picked without replacement from {f: 1, p: 1, b: 2, u: 3}. 0 Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {n: 3, c: 4, h: 1}. 3/7 Calculate prob of picking 1 d and 2 s when three letters picked without replacement from sccddccsscsc. 3/55 Calculate prob of picking 1 p and 1 e when two letters picked without replacement from upepuuupuuupupeuuuu. 10/171 Calculate prob of picking 2 i, 1 h, and 1 r when four letters picked without replacement from {r: 3, i: 5, h: 2}. 2/7 Calculate prob of picking 1 a and 3 s when four letters picked without replacement from ssaasassssss. 28/55 What is prob of picking 1 g and 1 e when two letters picked without replacement from {e: 3, h: 6, w: 6, g: 4}? 4/57 Three letters picked without replacement from {z: 1, q: 19}. Give prob of picking 3 q. 17/20 Three letters picked without replacement from {d: 5, y: 3, l: 3}. Give prob of picking 1 y and 2 d. 2/11 What is prob of picking 2 h when two letters picked without replacement from {v: 2, d: 2, s: 2, h: 2}? 1/28 Two letters picked without replacement from {l: 16, h: 2}. What is prob of picking 2 h? 1/153 Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {q: 2, e: 1, m: 1, p: 1, l: 8, k: 1}. 8/91 Two letters picked without replacement from {m: 2, s: 1, h: 1, z: 2, x: 1}. What is prob of picking 1 z and 1 s? 2/21 What is prob of picking 1 s and 1 w when two letters picked without replacement from {s: 1, w: 1, q: 6, z: 6, e: 4}? 1/153 Calculate prob of picking 1 s, 1 n, and 1 p when three letters picked without replacement from pasapnp. 3/35 W
{ "pile_set_name": "DM Mathematics" }
021). -3/14 What is the value of (-21)/((-60)/(-12)*4/(-80)*-6)? -14 Evaluate -21*14/(-294)*58/2. 29 What is ((-2)/17)/(31/(-527))? 2 What is (26/(-4))/((-147)/294)? 13 What is 13*4/(-676)*2? -2/13 Calculate ((-41)/123)/((-51)/1530). 10 What is the value of 2/(6/9)*((-754)/(-585))/(-29)? -2/15 Calculate ((-21)/(-588)*0)/2. 0 Evaluate (40/6)/((-104)/156). -10 (48/6)/(30/30) 8 Evaluate -3*12/54*-6*(-41)/(-4). 41 (1/((-4)/(-6)))/(3753/(-3336)) -4/3 What is ((-9)/(-20))/3*-12? -9/5 Calculate (((-16)/18)/4)/((-708)/5310). 5/3 Calculate ((72/12)/(-6))/((-14)/14). 1 What is the value of (2/(-12)*27/(-6))/(279813/39272)? 2/19 What is (((-6)/18)/1)/(4/44)*3? -11 Evaluate (-2)/3*34*9/(-12). 17 Evaluate 8/(-72)*(-39)/(-13). -1/3 Calculate 9/24*-34*(-9)/((-243)/(-36)). 17 What is the value of (-1)/(((-6)/33)/2)? 11 Calculate ((-378)/420)/((-3)/2). 3/5 What is (4*28/(-72))/(62/372)? -28/3 Evaluate (-10)/12*36/(-45)*(-3)/22. -1/11 ((-1932)/(-1127))/((-280)/147) -9/10 Evaluate (168/18)/((-20)/(-15)). 7 Calculate ((-11154)/44)/39*-2. 13 What is the value of -12*3*((-4)/(-30))/((-190)/(-950))? -24 What is (33/66)/(((-8)/(-96))/((-4)/6))? -4 Evaluate (10/(-4)*(-100)/250)/((-1)/(-17)). 17 (11/(231/(-2)))/(5*6/90) -2/7 (-2*(-17)/136)/((-21)/(-48)) 4/7 Calculate 4165/1785*(-1)/(-7). 1/3 Evaluate 60/66*(-55)/(-120)*-6. -5/2 What is the value of -11*(-5)/(-2)*(-624)/(-780)? -22 2/((-63)/(-18)*7/(98/(-8))) -1 Evaluate ((-3)/(-18))/(((-2)/(-10))/((-306)/255)). -1 Evaluate ((-2)/3)/(4165/10710). -12/7 (16296/(-7469))/(3/22) -16 Evaluate (-26)/(5304/(-3910))*-2*2/10. -23/3 ((392/(-28))/28)/(((-3)/(-1))/42) -7 What is the value of 39*1*-13*23/(-897)? 13 Evaluate (-55)/44*((-6)/7)/((-30)/(-420)). 15 ((-16)/(-20)*(-39)/52)/(5/(-125)) 15 (-3)/(-60)*62/31*(-4)/(-7) 2/35 Calculate (60/(-20))/(3/(-1)*(-6)/108). -18 Evaluate (-6)/(-42)*(-2)/(-2)*33/(-33). -1/7 What is (4*(-3)/(-105))/((-22)/1485*9)? -6/7 Evaluate (2/(-8))/(30*(-18)/(-720)). -1/3 What is the value of (80/2280)/((-216)/(-342))? 1/18 What is the value of (2/(-3))/((-14)/(-2)*88/84)? -1/11 2/(2392/182)*12/21 2/23 What is the value of 1/((376/(-752))/((-2)/(2*-6)))? -1/3 Calculate 54/6*7/((-273)/13). -3 Evaluate (18/(-24))/(6/(-80)). 10 Calculate ((4968/32)/(-27))/(1/(-4)). 23 What is the value of (-18)/1*(-3)/6*10/(-15)? -6 Calculate (154/(-132))/((70/39)/(-10)). 13/2 What is the value of ((6/120)/((-10)/30))/(3/12)? -3/5 What is 7*(1350/105)/(-18)? -5 Calculate (-16)/(28/((-126)/9)). 8 Calculate (-42)/(-96)*8*(-33)/385. -3/10 Calculate ((-7)/18)/(624/832)*3. -14/9 What is the value of 36/((-360)/(-50))*52/(-10)? -26 ((-39)/13)/((-36)/8) 2/3 Calculate (1070/535)/((-4)/(-30)). 15 ((-55)/5*2)/((-17)/((-85)/(-10))) 11 Evaluate -9*((-4)/(-6))/(10/(-40)*8). 3 What is the value of (-17)/((-51)/2)*-9? -6 (-24)/10*116/(-464) 3/5 What is (81/(-90))/((-3)/(-2))*5? -3 What is 33908/(-1211)*16/(-14)? 32 2/(-4)*29/((-522)/396) 11 What is the value of (3*(-3)/3)/((-2)/8*-28)? -3/7 (-18)/72*4*7 -7 Calculate (-27)/(-4)*1064/798. 9 What is (-5*44/(-275))/((-4)/70*1)? -14 What is the value of (-16)/(-4)*(-42)/(-864)*9? 7/4 What is the value of ((-14)/(-1848)*12)/((-12)/32*-4)? 2/33 What is (3*(-2)/(-20))/((-5)/(40/(-6)))? 2/5 (54/63*-21)/(20/5) -9/2 (3/(-6))/(253/(-552)) 12/11 Evaluate (88/16)/(-11)*32/16. -1 Calculate (6/(-108))/((-11)/22)*3/4. 1/12 Evaluate ((-35)/(-42))/(2*4/(-48)). -5 Evaluate ((-15)/((-135)/6))/(3/45*2). 5 What is the value of (((-3)/(-2))/((-7)/42))/(-1)? 9 Evaluate 792/924*105/(-10). -9 Evaluate ((-5)/((-90)/4))/(52/7722*-9). -11/3 What is the value of (-36)/(1/((-37)/222*(-3)/(-1)))? 18 -1*3/(-159)*(-11)/(132/24) -2/53 Calculate (6/10)/(19/(285/(-9))). -1 What is the value of (-23940)/(-3591)*6/(-2)? -20 Calculate 245/49*(4*(-2)/(-32))/(-2). -5/8 What is ((10/(-14))/1)/((-519)/(-3633))? -5 What is the value of ((-12)/45)/(872/(-16350)*(-9)/(-1))? 5/9 Evaluate ((-6)/(-1)*(-81)/54)/((-33)/(-22)). -6 (-10)/(-25)*300/(-780) -2/13 Evaluate (-3)/28*464/(-174). 2/7 Calculate 1/6*(-1950)/(-325)*2. 2 What is the value of (80/65)/(-8)*54/(-45)*-5? -12/13 Calculate (8/12*(-18)/40)/(43/86). -3/5 2*((-47)/(-188))/(1/(-5))*-4 10 (4/(-190))/((-8)/6*(-168)/(-1120)) 2/19 What is the value of 57/(-190)*120*1*1/2? -18 What is the value of (-3)/(1/12*((-27)/2)/(-3))? -8 4/4*((-27)/(-108))/(3/8) 2/3 Calculate (-6)/(-84)*14*4/(-20)*-155. 31 Evaluate 12/(-1281)*15/(-300)*-70. -2/61 203/5916*(-16)/(-14) 2/51 (-6)/2*15/(-80)*16/12 3/4 Calculate (-1)/2*21/(-588)*-14. -1/4 What is ((-2)/(-13))/((-1260)/234)? -1/35 -7*((-156)/(-126))/(-13)*-1 -2/3 Calculate (-231)/616*-3*4*(-2)/39. -3/13 (15/(-12))/(4/(-2))*16/(-40) -1/4 (20/14)/(1222/(-12831)) -15 What is (1632/48*(-3)/2)/(3*1)? -17 Calculate ((-3348)/(-1488))/(((-117)/(-2))/(-3)). -3/26 What is the value of 48/64*(-10)/(-15)? 1/2 Evaluate ((-3)/(-10))/(2*3/(-2)). -1/10 What is the value of 6*(12/(-336))/(-1)? 3/14 Calculate ((-3)/2*(-21)/(-126))/((-1)/(-4)). -1 What is the value of ((-48)/(2352/98))/((-37)/1*-1)? -2/37 What is (6/(-9)*57/38)/((-34)/4)? 2/17 Calculate (3/(-38))/((-41)/(5740/(-105))). -2/19 What is the value of 8/6*(2/8)/((-190)/(-76))? 2/15 Calculate ((6/51)/(-1))/(264/(-264)). 2/17 Evaluate (-42)/(-77)*(88/(-6))/(-4). 2 ((-1)/(-1))/(1/((91/1)/13)) 7 Evaluate 16/(-240)*-15*1/7. 1/7 Calculate ((-10)/40*-20)/(-3*(-20)/72). 6 2/(-8)*324/18*190/(-57) 15 (-261)/18*2/((-24)/(-6))*-4 29 Calculate ((-3)/(-30))/(7/504*-12). -3/5 What is 19/1*8/(56/(-7))? -19 What is ((-120)/(-8))/((136/272)/(1/2))? 15 Calculate (3/(3/(-1)))/((-27)/(162/51)). 2/17 Evaluate ((-32)/(-3))/((-1506)/(-2259)). 16 Calculate (9/(-12))/(714/(-272)). 2/7 Evaluate ((-4)/10)/((-96)/40). 1/6 Calculate (((-9)/6)/((-441)/56))/((-50)/(-35)). 2/15 Evaluate (16/14)/((-35)/(-49))*105/28. 6 (-56)/98*((-6)/18)/(3/9) 4/7 What is the value of (2/(-48))/((3/(-24))/((-126)/336))? -1/8 What is the value of ((-14)/441)/(12/(-21))*(-90)/(-4)? 5/4 Calculate 3/7*1246/(-534). -1 Evaluate ((-10)/65)/((-48)/78). 1/4 What is 2/2*(-510)/(-3)*40/400? 17 What is the value of (204/5508)/((-1)/(-6))? 2/9 Evaluate (111/111)/(20/(-28)). -7/5 What is the value of (0/(-1))/14*-1? 0 Calculate ((-2)/55)/(40/(-50))*452/(-113). -2/11 What is the value of 432/360*(-30)/63? -4/7 Evaluate 9/(72/8)*(-13)/(65/(-80)). 16 What is 15/(-72)*26/260? -1/48 Evaluate (12*(-28)/16800)/((-3)/24*2). 2/25 Evaluate ((-4)/(-16)*8)/(56/(-70)). -5/2 (-9)/1*(24/(-40))/((-15)/25) -9 Evaluate (-23*15/(-230))/(3/20). 10 Calculate (-8)/(-6)*(-4)/156*-13. 4/9 Evaluate 195/6*-4*32/160. -26 What is the value of 16/8*(20/6)/(4/(-3))? -5 What is the value of (2/1)/((-926)/4167)? -9 Evaluate (-4)/4*(-162)/(-18)*-1. 9 Calculate 1/((28/(-1))/196). -7 (40/(-16))/((-5)/((-36)/(9/(-9)))) 18 Evaluate (14/(-5))/(-8*(-10)/600). -21 Calculate 1/(-11)*(-2167)/(-788). -1/4 Evaluate 225/6*((-308)/(-693))/((-4)/6). -25 What is the value of (-4)/5*2660/2394? -8/9 (84/((-357)/(-17)))/(-42) -2/21 Calculate 0/15*(-1)/(-1). 0 Calculate 4*12*(-8)/640. -3/5 What is 75/30*3/((-18)/24)? -10 What is the value of ((-9120)/72)/38*-10*12/(-16)? -25 What is the value of (-25)/5*((-27)/(-80))/(-9)? 3/16 What is (-6)/4*1*70/(-105)? 1 Calculate (10/(-4))/(((-5)/(-18))/((-88)/264)). 3 What is the value of 104/(-48)*-1*48/(-8)? -13 What is (-10)/(-225)*9*(-75)/18? -5/3 Calculate (7/182)/((-33)/(-9438)). 11 What is ((-21)/(-14))/((-1)/(138/9))? -23 What is the value of 48/252*(-57)/(-152)? 1/14 What is ((-16)/(-14))/(((-78)/(-65))/((-42)/(-10)))? 4 Evaluate (180/25)/6*25/(-10). -3 Evaluate ((-2)/(-6)*-4)/((-2516)/777*7). 1/17 What is (-29)/(-3)*(-30)/(-510)*51? 29 What is 35/(-10)*(-33)/(-77)? -3/2 Calculate 3/(-3*60/10). -1/6 What is the value of (189/56)/(9/12)? 9/2 What is the value of 3/(-2)*3/(234/24)? -6/13 Evaluate (13/(-2))/((-22)/((-440)/(-10))). 13 What is the value of (114/(-35))/19*(-35)/75? 2/25 What is the value of ((-112)/(-35))/((-140)/(-35))? 4/5 Calculate (-3)/(-45)*(2/(-10))/((-244)/(-732)). -1/25 What is 2774/3504*6/57? 1/12 What is the value of (-49)/(-490)*(-9)/((-90)/(-8))? -2/25 What is the value of ((-329535)/(-4882))/(18/8)? 30 What is the value of ((-6)/(-39))/(966/2093)*-87? -29 What is (-12)/((-2400)/56)*(-2)/7? -2/25 Calculate ((0/4)/(-4))/((-15)/15). 0 What is the valu
{ "pile_set_name": "DM Mathematics" }
Let r = d - 0.879894. Round r to 5 decimal places. 0.00011 Let w = -119 - -111.42. What is w rounded to the nearest 10? -10 Let t = -20553 + 20552.999998809. Round t to five decimal places. 0 Let d be 3001266/22 - 14/77. Suppose -3*q - 150079 = d. Round q to the nearest 1000. -96000 Let q = -327 - -334. Let g = 7.000845 - q. Round g to 5 dps. 0.00085 Let a = 9643 - 14163. Let m = 4520.5021 + a. What is m rounded to 2 decimal places? 0.5 Let m(a) = a**3 + 8*a**2 - 8*a - 19. Let h be m(-9). Let r = h - -39. Let p(s) = s**3 - 2*s**2 - 15*s + 6. Let g be p(r). What is g rounded to the nearest 100? 900 Let h = 11.01 - 4.21. Let k = 4.8 + -8.1. Let j = h + k. Round j to the nearest integer. 4 Let g(a) be the first derivative of -80*a**2 + 113. Suppose -1 = z, -5*s - 3*z + 39 = -8. Let c be g(s). Round c to the nearest 1000. -2000 Suppose -5 + 33 = -4*v + a, -2*v = -5*a - 4. Let k be -2 - (237150186/(-155) + v/10). What is k rounded to the nearest 100000? 1500000 Let y = 12969.999942828 - 12970. Round y to five dps. -0.00006 Let f = -1.43 - -333.43. Let p = f - 343.44. Let j = 0.84 + p. What is j rounded to the nearest integer? -11 Let p(u) = 18*u**2 + u + 13. Let y be p(-4). Suppose 8*k + 127 = -y. Round k to the nearest integer. -53 Suppose -6*v - 30 = -q - 3*v, 72 = 4*q + 4*v. Let m(i) = -11*i**2 + 11*i + 57. Let n be m(q). Round n to the nearest 100. -4600 Let d = 743 + -656.2. Let m = d + -79. Let q = 7.8168 - m. Round q to two dps. 0.02 Let b = -111 + 116.9. Let i = -252.1 - b. Let g = i - -258.00000323. Round g to 7 decimal places. 0.0000032 Let q = -26.487 - -26.48605625. What is q rounded to 4 decimal places? -0.0009 Let n = -0.001438 + 50.339438. Let q = n - 0.238. Round q to the nearest 10. 50 Let i = 686 - -3120832. Suppose -30*h - 15*h = 212018310. Let d = i + h. What is d rounded to the nearest 100000? -1600000 Let i = -10.484 - -10.4840034624. Round i to six decimal places. 0.000003 Let i = -26.3 - -24.85. Let g = i - -1.192. What is g rounded to one decimal place? -0.3 Let r be (-2092091)/(-74) + -3*(-35)/30. What is r rounded to the nearest one hundred? 28300 Suppose -5*r + 3*r + 10 = 0. Suppose r*d - d = 6300428. Let t = d - 2725107. What is t rounded to the nearest 100000? -1200000 Let u = -5.6535 - 0.0165. Let m = u + -0.03. Let j = m + 5.6999922. Round j to six decimal places. -0.000008 Let i = 2.241 + 2.698. What is i rounded to 1 dp? 4.9 Let j be (-10)/(-50) - (-3)/((-45)/183). Let s(y) = 34*y**2 + 28*y - 10. Let d be s(j). Round d to the nearest 100. 4600 Let w = -266 + -358. Let a = -621.03 - w. Round a to 1 decimal place. 3 Let i = 83205.74 - 84518. Let x = i + 1324. What is x rounded to 0 dps? 12 Let l = -21.4 - -267.36. Let o = l - 261. Round o to 0 decimal places. -15 Let o = -9.617328 + 19053447.617328. Let m = -19053512.999835 + o. Let w = 75 + m. What is w rounded to five decimal places? 0.00017 Let t = -64070.890887 + 62814.89088191. Let x = -1256 - t. Round x to 6 dps. 0.000005 Let x = 607.901 - 608. Let z = 2104.62 + -2104.719083. Let i = z - x. What is i rounded to 5 dps? -0.00008 Let o = -206 + 205.9999997178. Round o to seven dps. -0.0000003 Let x(h) = -171886*h**2 - 940*h - 6. Let r be x(7). What is r rounded to the nearest 100000? -8400000 Let d = -1.05 - -0.79. Let s = -0.83 - d. Let g = -0.569898 - s. What is g rounded to five decimal places? 0.0001 Let h = 1007.930117 - 1007.62. Let z = h - 0.31. Round z to 5 decimal places. 0.00012 Let o = -16.32 - -16. Let l = 168950 + -168950.3199448. Let q = l - o. What is q rounded to five decimal places? 0.00006 Suppose 3*s - s - 48 = 0. Let v be (-30)/4*s/5. Let l be 8/v + (-6122)/(-9). What is l rounded to the nearest 100? 700 Let b = -8704.708 + 8705. What is b rounded to one dp? 0.3 Let g = -41.0402 - -41. Let p = 0.03438 + g. Round p to 4 decimal places. -0.0058 Let s(m) = -16*m - 15. Let a(n) = -17*n - 17. Let q(k) = 3*a(k) - 4*s(k). Let l be q(-3). Let g be (-3010)/(-15)*(l/(-4))/5. Round g to the nearest ten. 300 Let l = -5002.999997223 + 5003. What is l rounded to 7 decimal places? 0.0000028 Let p = 12.94999895 + -12.95. Round p to 7 dps. -0.0000011 Suppose 17*a - 840 = 45*a. Let t be (-7 - -15)*(-2)/(-2). Let c be (20/t*a)/(2/1760). What is c rounded to the nearest ten thousand? -70000 Let k = -113.84 - 2.16. Let w = -101.5 - k. What is w rounded to 0 dps? 15 Let f = 461.4 + -327.2. What is f rounded to the nearest 100? 100 Let z = 100.1 + -76.65. Let c = 45.618 - z. Let d = -22 + c. What is d rounded to 2 decimal places? 0.17 Let w = 9416.0753 + -9421. Round w to 2 dps. -4.92 Let h = 510.0565 + -520.75. Let y = h + 10.7. Round y to 3 decimal places. 0.007 Let a = 771 - 6723. Suppose 2*r - 10952 = -w, -43808 = -4*w + 4*r - r. Let x = w + a. Round x to the nearest one thousand. 5000 Let l = 26.89 - -1462.71. Let k = l - 1664. What is k rounded to the nearest ten? -170 Let y = 5922705855 + -5922706089.99999865. Let h = 235 + y. Round h to 7 decimal places. 0.0000014 Suppose r + 6*r = 63. Suppose -i = -r*i + 24. Suppose i*f + 70988 = 5*b, -2*b + 2*f + 28687 = 295. Round b to the nearest 1000. 14000 Let g = 223388 - 348381. Let p = g - 115007. What is p rounded to the nearest one hundred thousand? -200000 Let n = -41317.145 + 41405. Let t = n + 0.145. Let x = 87.919 - t. Round x to 2 dps. -0.08 Let c = -0.12297064 - -0.12298. Round c to five decimal places. 0.00001 Let q = -2.52 + 2.34. Let s = q + 0.180000105. What is s rounded to seven dps? 0.0000001 Let k be (2*(-2)/8)/((-42)/84). Let w be (-10*(-18)/210)/(k/7000). Round w to the nearest 10000. 10000 Let f = 2657 + -2645.692. Round f to zero dps. 11 Suppose 11*m - 8 - 36 = 0. Suppose 17130 = -2*i + 3*f, 3*i - m*f + 22714 + 2981 = 0. Round i to the nearest one thousand. -9000 Let m = -68.021 - -67.16. What is m rounded to 1 dp? -0.9 Let v = 3976.02329777 - 0.00586777. Let l = v - 3976. What is l rounded to three decimal places? 0.017 Let y = -2.048792 - -2.0097. Round y to 4 dps. -0.0391 Let i = -33820 - -33820.00027094. Round i to five dps. 0.00027 Let a = -7.3244 - 0.1836. Let d = -14 - -6.5. Let z = d - a. What is z rounded to 3 decimal places? 0.008 Let w = 0.105 - -0.044. Let g = -101.851 - w. Let s = 102.114 + g. Round s to two dps. 0.11 Let j = -12.915 - -12.385. Let g = -800 + 799.166. Let o = j - g. What is o rounded to two decimal places? 0.3 Let h(k) = -127*k**2 - 61*k + 42. Let y be h(-8). What is y rounded to the nearest 100? -7600 Let u = 0.0289 + 30.0711. Let h = u - 30.099643. Round h to 4 dps. 0.0004 Let d = -59.568 + -259.942. Round d to the nearest integer. -320 Let f be 526800003/(-6) + (4 - (-105)/(-30)). Round f to the nearest 1000000. -88000000 Suppose -15*j - 52395389 + 676889 = 0. What is j rounded to the nearest 10000? -3450000 Suppose -5*j + 5*z - 40 = 0, j - 4 = z - 3*z. Let k be 330*(331952/12 - j) + 0. Round k to the nearest one hundred thousand. 9100000 Suppose 0 = 5*h - 5, h + 8 = 4*a + 5*h. Let f be 2 - (-3 - (a + -1)). Suppose -2035 = -f*i + 5*x, 324 + 92 = i - 4*x. Round i to the nearest one hundred. 400 Let y = -27996.00000072438 + 27996. Round y to 7 decimal places. -0.0000007 Let a = 7.3 + -17. Let d = 281.3 - a. Let u = 290.726 - d. Round u to 2 decimal places. -0.27 Let h = -153.8 - -134. Let o = h - -19.80445. Round o to four decimal places. 0.0045 Let o = -130.9781505 + -622.0219357. Let t = -753 - o. What is t rounded to 5 decimal places? 0.00009 Suppose -62226 = -z + 5*x + 2104, 5*x = 4*z - 257230. Round z to the nearest ten thousand. 60000 Let g = 12239 - 12239.46014. Let n = -80.46 - -80. Let m = g - n. Round m to 5 decimal places. -0.00014 Suppose -31*b + 3*r + 53550 = -34*b, 4*r = -2*b - 35698. Let l = -12391 - b. What is l rounded to the nearest one thousand? 5000 Let d = 263.684 + -240.2. What is d rounded to the nearest integer? 23 Let q = -10090.019068 + 10090. Round q to four decimal places. -0.0191 Suppose 2*z - 248029996 = -13*i + 15*i, -3*z + 496059994 = -4*i. What is i rounded to the nearest one million? -124000000 Let s = 0.298 + 0.819. Let k = -89 + 89.083. Let c = s + k. What is c rounded to 1 decimal place? 1.2 Let y = -2.6324 + 0.0724. Let q = 4072466 - 4072463.439873. Let h = y + q. What is h rounded to five decimal places? 0.00013 Let y = -14.
{ "pile_set_name": "DM Mathematics" }
0 Suppose -2*c + 7*c = -45. Let d = -4 - c. Determine k so that -41*k**3 + 4 + k**2 + 0*k**4 + 36*k**d - 5*k**4 + 16*k - 11*k**5 = 0. -1, -2/5, 1 Let z = -34 + 32. Let i be z/7 - 135/(-252). Let 1/4*l**2 + 0*l**3 + 0*l - i*l**4 + 0 = 0. What is l? -1, 0, 1 Suppose 4*j - 5*l = 14 - 3, 2*j + 4*l - 12 = 0. Let 1/2*n**3 - 1/2*n + 0 + 1/2*n**j - 1/2*n**2 = 0. Calculate n. -1, 0, 1 Let h(m) be the first derivative of -3/7*m**2 - 1/21*m**3 - 9/7*m - 7. Let h(s) = 0. What is s? -3 Suppose -3 = m + t, 0 = 12*m - 17*m + 5*t + 35. Suppose -1/4*x**m + 0 + 0*x - x**3 = 0. What is x? -1/4, 0 Let z(k) be the second derivative of 2/3*k**3 + 5*k + 0*k**2 + 0 - 1/6*k**4 - 1/10*k**5. Factor z(w). -2*w*(w - 1)*(w + 2) Let l = 443/3660 - -3/244. Let f(q) be the first derivative of 1/5*q**2 - l*q**3 - 3 + 0*q. Factor f(x). -2*x*(x - 1)/5 Let c(o) be the third derivative of 1/120*o**6 + 0*o**3 + 0*o + 1/8*o**4 - 8*o**2 - 1/12*o**5 + 1/210*o**7 + 0. Solve c(s) = 0. -3, 0, 1 Let x be (-2)/24 + (-2)/(-8). Let g(c) be the third derivative of 2*c**2 - x*c**3 + 1/48*c**4 + 1/120*c**5 + 0 + 0*c. Solve g(v) = 0 for v. -2, 1 Let s(f) be the third derivative of f**6/30 + f**5/5 - 3*f**2. Find l, given that s(l) = 0. -3, 0 Let r(p) be the first derivative of p**6/10 - 3*p**4/20 + 5. Factor r(g). 3*g**3*(g - 1)*(g + 1)/5 Let t(u) = -u**3 - 7*u**2 - u - 5. Let c be t(-7). Let h = 1 + c. Factor -3*r**h + 2*r**5 - r**2 + 3*r**4 - 3*r**5 + 2*r**2. -r**2*(r - 1)**3 Let f(o) be the second derivative of o**4/12 + 5*o**3/18 - o**2/3 - 5*o. Factor f(t). (t + 2)*(3*t - 1)/3 Let s = 2/3 + -11/18. Let t(c) be the second derivative of 0 + s*c**4 + 2*c + 0*c**2 + 1/9*c**3. Let t(h) = 0. What is h? -1, 0 Let f(t) = t**3 + 12*t**2 + 25*t - 15. Let g be f(-9). Find i such that 1/3*i**g + 0 + 0*i**2 + 0*i + 1/3*i**4 = 0. -1, 0 Let c(a) be the second derivative of a**4/48 + a**3/8 + a**2/4 - 8*a. Factor c(t). (t + 1)*(t + 2)/4 Let v = 234/11 - 1082/55. Factor 6/5*t**2 - v + 2/5*t**3 + 0*t. 2*(t - 1)*(t + 2)**2/5 Let f(i) = 16*i**2 - 223*i - 12. Let r be f(14). Suppose 1/3 - 1/6*z**r + 1/6*z = 0. Calculate z. -1, 2 Let c be (8/50)/(37/130). Let n = -6/37 + c. Suppose -2/5*w**5 + 0*w**3 - 4/5*w**2 + n*w + 4/5*w**4 + 0 = 0. What is w? -1, 0, 1 Let r(f) be the second derivative of -2*f**6/5 + f**5/10 + f**4/3 + 8*f. Factor r(c). -2*c**2*(2*c + 1)*(3*c - 2) Suppose 172*z - 174*z = 0. Suppose z*s - 1/4*s**2 + 1/4 = 0. What is s? -1, 1 Factor -i**4 - 103*i**2 + 3*i**3 + i**3 + 104*i**2 - 4*i. -i*(i - 4)*(i - 1)*(i + 1) Let 4*l**2 - 29 - l**3 + 29 = 0. Calculate l. 0, 4 Factor 8/9*o**4 + 4/9*o**5 - 16/9*o**3 - 32/9*o**2 + 0*o + 0. 4*o**2*(o - 2)*(o + 2)**2/9 Let x(b) be the second derivative of -b**5/16 - 5*b**4/24 + 5*b**3/8 - 12*b. Factor x(g). -5*g*(g - 1)*(g + 3)/4 Let x(b) = b - 5. Let r be x(7). Solve -4*a**r - a + 4*a**3 - 3*a + 6*a**4 - 2*a - 2 + 2*a**5 = 0. -1, 1 Let t(k) = -k**3 + 11*k**2 - 13*k - 1. Let o be t(10). Let h = -29 - o. Suppose -1/2*w**h + 1/4*w**3 + 0 + 1/4*w = 0. Calculate w. 0, 1 Let q(n) be the third derivative of -n**6/240 - n**5/120 + n**4/48 + n**3/12 + n**2. Factor q(c). -(c - 1)*(c + 1)**2/2 Suppose 5*d + z = d + 18, 8 = 4*z. Let c(s) be the first derivative of -1/4*s**d - 3 - s + 1/3*s**3 + 1/2*s**2. Suppose c(p) = 0. Calculate p. -1, 1 Let g(z) be the first derivative of -2*z + 7/36*z**4 - 1 - 5/18*z**3 - 1/20*z**5 + 1/6*z**2. Let b(n) be the first derivative of g(n). Solve b(v) = 0. 1/3, 1 Suppose 4 + 6 = g - 5*l, 5*g = l + 2. Factor g + 2/7*t**2 + 4/7*t**3 + 0*t + 2/7*t**4. 2*t**2*(t + 1)**2/7 Let f(s) be the second derivative of 0*s**2 + 1/10*s**5 + 1/6*s**4 - 2/3*s**3 + 0 + 3*s. Factor f(r). 2*r*(r - 1)*(r + 2) Factor -3*n**5 - 1 - 3*n - 1550*n**2 + 4*n**5 + 3*n**4 + 2*n**3 + 1548*n**2. (n - 1)*(n + 1)**4 Solve 0 + 2*w**2 - 2/3*w + 2/3*w**4 - 2*w**3 = 0. 0, 1 Let f(z) be the third derivative of -7*z**5/120 + 5*z**4/48 + z**3/6 - z**2. Solve f(w) = 0 for w. -2/7, 1 Let i(d) = 9*d**2 - 56*d + 180. Let m(f) = 55*f**2 - 335*f + 1080. Let n(z) = -25*i(z) + 4*m(z). Factor n(t). -5*(t - 6)**2 Solve -5/4*v - 1/2*v**2 + v**4 - 1/2 + v**3 + 1/4*v**5 = 0. -2, -1, 1 Factor 4/9*w**2 - 40/9*w + 100/9. 4*(w - 5)**2/9 Let r = -5 - -8. Factor -p**r - p + p**4 - 18*p**4 - 7*p**4 + 6*p**2 - 16*p**5. -p*(p + 1)**2*(4*p - 1)**2 Let m = -47/3 - -347/21. Determine a, given that 6/7*a**4 + 0 - 2/7*a**3 - 2/7*a**5 - m*a**2 + 4/7*a = 0. -1, 0, 1, 2 Let c(s) be the second derivative of -5*s**7/6 + 13*s**6/3 - 13*s**5/4 - 85*s**4/6 + 50*s**3/3 + 20*s**2 + 15*s. Find u such that c(u) = 0. -1, -2/7, 1, 2 Let o(q) be the first derivative of 0*q + 0*q**4 - 3 + 1/720*q**6 - q**3 + 0*q**2 + 1/240*q**5. Let m(d) be the third derivative of o(d). Factor m(a). a*(a + 1)/2 Let g be (-1656)/(-520) + ((-6)/(-5) - 1). Factor -10/13*v**5 - g*v**3 + 36/13*v**4 + 16/13*v**2 + 6/13*v - 4/13. -2*(v - 1)**4*(5*v + 2)/13 Factor -r + 15*r - 4*r + r**2 - 7*r. r*(r + 3) Let c(p) be the third derivative of p**5/15 - 2*p**3/3 - 4*p**2. Find i such that c(i) = 0. -1, 1 Let y(b) be the first derivative of -3*b**5/20 + 3*b**4/16 + 8. Factor y(u). -3*u**3*(u - 1)/4 Let b(m) = m**3 + m**2 - m. Let f(q) = q**3 + q**2 - 3*q - 1. Let k be f(-2). Let a(c) = 2*c**3 + 3*c**2 - 4*c. Let v(l) = k*b(l) - a(l). Factor v(d). -d*(d - 1)*(d + 3) Determine h, given that -2/11*h**4 + 0 + 12/11*h**3 + 0*h + 14/11*h**2 = 0. -1, 0, 7 Let c(h) be the first derivative of 63*h**4/4 - 13*h**3 - 41*h**2/2 + 7*h + 3. Let z(t) = -t - 1. Let g(n) = -c(n) + 5*z(n). Factor g(w). -3*(w - 1)*(3*w + 2)*(7*w - 2) Let y(u) be the second derivative of -1/3*u**3 + 2*u + 1/30*u**5 - u**2 + 0 - 1/60*u**6 + 1/12*u**4. Let f(k) be the first derivative of y(k). Factor f(h). -2*(h - 1)**2*(h + 1) Let o(f) be the third derivative of f**7/12600 + f**6/900 + f**5/150 - f**4/8 - 2*f**2. Let r(x) be the second derivative of o(x). Factor r(d). (d + 2)**2/5 Let b(j) be the first derivative of j**4/36 - j**3/3 + 3*j**2/2 + 2*j - 1. Let v(w) be the first derivative of b(w). Factor v(x). (x - 3)**2/3 Let v(j) be the third derivative of -j**5/240 - j**4/16 - 5*j**3/24 + 7*j**2. Let v(k) = 0. What is k? -5, -1 Let x be 1*5 + 2/(-1). Determine b so that -b**4 + 2*b**3 + b**2 + 3*b**4 + 0*b**2 - x*b**2 - 2*b = 0. -1, 0, 1 Let r be (-9 - -10)/(24/1). Let g(f) be the second derivative of 0 - 1/6*f**3 - f + r*f**4 + 1/4*f**2. What is q in g(q) = 0? 1 Factor -8/3*r**2 - 4/9*r**4 + 0*r + 0 + 20/9*r**3. -4*r**2*(r - 3)*(r - 2)/9 Suppose 0 = i - 3*t - 12, 0 = 5*i - 10*i - 4*t - 16. Find z such that 2/11*z**2 + 0*z + i - 2/11*z**3 = 0. 0, 1 Let f = -555 - -557. Factor 1/2 + 1/4*b**4 + 9/4*b**f - 7/4*b - 5/4*b**3. (b - 2)*(b - 1)**3/4 Suppose -4/7*b - 2/7 - 2/7*b**2 = 0. Calculate b. -1 Let s = 14 - 18. Let n be (-6)/4*s/15. Factor -1/5*l**2 - n*l + 0. -l*(l + 2)/5 Let t(v) = -12*v**3 + 36*v**2 - 30*v + 6. Let z(n) = 36*n**3 - 109*n**2 + 91*n - 18. Let h(k) = -8*t(k) - 3*z(k). Determine i so that h(i) = 0. 1/4, 1, 2 Let c(v) be the third derivative of -v**7/420 + v**6/120 - v**4/24 + v**3/12 + 28*v**2. Let c(g) = 0. What is g? -1, 1 Let g(s) be the first derivative of s**2 + 11*s + 5. Let m be g(-4). Factor -2/9 - 4/9*f**m - 8/9*f - 10/9*f**2. -2*(f + 1)**2*(2*f + 1)/9 Let g(h) = 2*h - 5. Let z be g(4). Suppose -z + 5 = j. Let -1/3*w**j - 2/3*w - 1/3 = 0. Calculate w. -1 Let m(l) be the first derivative of 2*l**5/5 - 5*l**4/4 + l**3 + l**2/2 - l + 10. Factor m(d). (d - 1)**3*(2*d + 1) Let a(c) be the first derivative of c**9/1512 - c**8/420 + c**6/90 - c**5/60 - c**3/3 + 2. Let o(w) be the third derivative of a(w). Factor o(q). 2*q*(q - 1)**3*(q + 1) Let t(v) be the first derivative of -v**3/9 + 20*v**2/3 - 400*v/3 - 7. Solve t(y) = 0 for y. 20 Let f(t) = -t**3 - 1. Let y(o) = -3*o**4 - 15*o**3 + 6*o**2 - 18. Let k(s) = 15*f(s) - y(s). What is u in k(u) = 0? -1, 1 Let q be -6 + 4 + 24/10. Find c such that q - 4/5*c + 2/5*c**2 = 0. 1 Suppose -3*b + 3*n = 14 + 1, b - 19 = -5*n. Let k be 1*b/21*-6. Let 0*r + k - 2/7*r**2 = 0. Calculate r. -1, 1 Let m = 4/273 - -478/4641. Factor 0 - 4/17*b**5 + 2/17*b**2 - 6/17*b**3 - 10/17*b**4 + m*b. -2*b*(b + 1)**3*(2*b - 1)/17 Let i = 816 - 816. Determine k so that 9/4*k**4 + 9/4*k**3 + 3/4*k**5 + i*k + 0 + 3/4*k**2 = 0. -1, 0 Factor -67*r**3 + 28*
{ "pile_set_name": "DM Mathematics" }
ate a*h**2 - 40*a*k + 40*h**2*k - 2*h**2 + 21*h*k - 230*k wrt h. 2*a*h + 80*h*k - 4*h + 21*k Find the first derivative of -f**3 - 26143*f**2 - 184578 wrt f. -3*f**2 - 52286*f What is the second derivative of 45*o**3 + 1776*o**2 + 26672*o - 5? 270*o + 3552 Find the third derivative of -63609*v**3*x**2 + 35*v**2*x + 2*v**2 - 672*x**2 - 2 wrt v. -381654*x**2 Find the first derivative of -1379*g*j*m**2 - 12*g*j - 52*g*m**2 + 1802*g*m + m**2 wrt j. -1379*g*m**2 - 12*g Find the first derivative of -620*o**2 + 33*o + 3150877. -1240*o + 33 What is the third derivative of 59*g*z**5 + 140*g*z**4 - 2*g*z**2 - 2*g*z - 18*z**2 + 14 wrt z? 3540*g*z**2 + 3360*g*z What is the derivative of 76*m**3*n**4 - 156819*m**3 - 1246*n**4 wrt n? 304*m**3*n**3 - 4984*n**3 Differentiate 1070926*n**2 - 1136875 with respect to n. 2141852*n Find the second derivative of 1903*c**3*o**4 - 360*c**3*o**3 + 779977*c**3*o + c**3 - c**2*o + 2*c wrt o. 22836*c**3*o**2 - 2160*c**3*o Find the third derivative of 61935*j**4 - 176354*j**2 wrt j. 1486440*j Find the third derivative of 701824*t**4 + 85521*t**2 wrt t. 16843776*t Find the third derivative of 288087*n**3*p**3 + 2*n**2*p**3 - 2*n**2 + 337929*n*p**3 wrt n. 1728522*p**3 Differentiate 123229*m + 28057 wrt m. 123229 Find the second derivative of 100774*h**5 - 1900830*h wrt h. 2015480*h**3 What is the derivative of 25*b**4 - 10017*b**2 + 2551902 wrt b? 100*b**3 - 20034*b Find the third derivative of 5*q**5 + 6*q**4 - 5*q**3 - 4558*q**2. 300*q**2 + 144*q - 30 What is the first derivative of -130*q*z**3 + 11*q*z**2 - z**3 + 21*z**2 - 542 wrt q? -130*z**3 + 11*z**2 Find the second derivative of 633494*b**3*n**2 - b*n**2 - 23726*b*n wrt b. 3800964*b*n**2 Find the second derivative of 136214*n**2 - 523401*n. 272428 What is the first derivative of 4*m**2 - 126160*m + 1813765 wrt m? 8*m - 126160 What is the third derivative of -1480*t**5 - 5*t**4 + t**3 + t**2 + 47*t + 27 wrt t? -88800*t**2 - 120*t + 6 What is the second derivative of -403658*b**4 - 4838*b + 29? -4843896*b**2 Find the first derivative of 3374747*y**3 + 3791222. 10124241*y**2 What is the derivative of -174*i**3 - 294*i**2 - 596226? -522*i**2 - 588*i Find the first derivative of 15*c*v**2 - 675*c*v + 2*c*x + 15*v**2*x - 2*v**2 - 2*v*x + 1209*x wrt c. 15*v**2 - 675*v + 2*x What is the derivative of 2367705*s**2 + 1763071 wrt s? 4735410*s Find the third derivative of 314097*i**4 + 303275*i**2. 7538328*i Find the second derivative of -41022*i**3*v**2 + 2*i**3*v + 38*i**3 - 16*i**2 - 1 wrt v. -82044*i**3 What is the first derivative of -162*g**3*s - 6*g*s - 3*g - 1250272*s wrt g? -486*g**2*s - 6*s - 3 Find the first derivative of -204*k*m*z**2 + 6*k*m + 148553*m*z**2 wrt k. -204*m*z**2 + 6*m Find the first derivative of -5*i**2 + 202670*i + 1884963. -10*i + 202670 Find the second derivative of -68023*a*b**2*j**2 + 187*a*j**2 - 34*a*j + 3*b wrt b. -136046*a*j**2 What is the third derivative of -61585*o**4 + 4*o**2 - 4*o + 441? -1478040*o What is the second derivative of -38*z**5 + 6*z**4 - 3*z**2 - 6292*z wrt z? -760*z**3 + 72*z**2 - 6 What is the second derivative of 33215*r**2 + 46558*r? 66430 Find the second derivative of -263047*r**2 - 1655*r - 1 wrt r. -526094 Differentiate -29122*w**2 - 15301 with respect to w. -58244*w What is the first derivative of 2*f**2*t + 375268*f*t + 20*t - 21067 wrt f? 4*f*t + 375268*t Differentiate -2652295*n**2 + 3165249 wrt n. -5304590*n What is the second derivative of -19115*a**2*b**2 + 29767*a*b**2 - a wrt a? -38230*b**2 What is the derivative of 266956*q**2 + 246416? 533912*q What is the second derivative of q**2*r**3 - 10*q**2*r**2 - 29*q**2*r - 362*q*r - 2628*r**3 - r wrt r? 6*q**2*r - 20*q**2 - 15768*r Find the second derivative of -22537*b**4*m - 67826*b*m wrt b. -270444*b**2*m What is the second derivative of 2*r**5 + 13388*r**4 - r**3 + 111169*r? 40*r**3 + 160656*r**2 - 6*r Find the third derivative of -21132*c*g**3 + 2522*c*g - 3*c - 2*g**2 - 3*g wrt g. -126792*c Find the third derivative of 2111*p**3*s**2*v*y + 6*p**3*s*v*y + p**2*s**2*v*y - 7*p**2*s**2*v - 2*p**2*s*y - 22*p**2 - 9*s**2*v*y wrt p. 12666*s**2*v*y + 36*s*v*y Find the third derivative of -3*x**2*y**3 - 4*x**2*y**2 - 2*x*y**3 + x*y**2 - 6184*y**3 - 26*y wrt y. -18*x**2 - 12*x - 37104 Differentiate -2*o*q*v - 2*o*q + 136*o*v - 170126*o + 1540*q*v wrt v. -2*o*q + 136*o + 1540*q Differentiate 730*l**2*p + 247*l**2*u**3 - 10*l**2*u**2 + 2*l**2 + 2*p*u**3 + 2*p wrt p. 730*l**2 + 2*u**3 + 2 Differentiate 2*d**3*x - 145344*d**3 + 1073*d**2*x**2 - 17*d*x wrt x. 2*d**3 + 2146*d**2*x - 17*d Differentiate 7690*n**3*w**3 + 521687*n**3 + 14*n*w**3 wrt w. 23070*n**3*w**2 + 42*n*w**2 What is the first derivative of -2*k*x**2 - 3*k*x - 1894855*k - 12667*x**2 - 2*x wrt x? -4*k*x - 3*k - 25334*x - 2 Find the second derivative of -1087148*n**2 - 3703989*n wrt n. -2174296 Find the first derivative of -35887*k**2 - 60184 wrt k. -71774*k Find the third derivative of 28*h**4*v + 2826*h**4 - 2*h**3*v + 109676*h**2*v + 2*v wrt h. 672*h*v + 67824*h - 12*v Find the first derivative of -f*s**3 + 733*f*s**2 + 27*f + 2*s**4 - 54 wrt s. -3*f*s**2 + 1466*f*s + 8*s**3 What is the third derivative of -656897*k**6 + 7*k**2 - 56592*k - 2? -78827640*k**3 Find the third derivative of -m*q**4 - 532*m*q**2 + 3*m + 41155*q**4 - 15*q**2 + q wrt q. -24*m*q + 987720*q Differentiate -8890*n**2*o - 32822*n**2 with respect to o. -8890*n**2 What is the second derivative of -n**3 + 3974*n**2*o + 2*n*o - 16551*n - 2*o + 2 wrt n? -6*n + 7948*o Find the first derivative of 344*p**3 + 15*p**2 + 5*p + 69695 wrt p. 1032*p**2 + 30*p + 5 What is the second derivative of -2*c**2*s**3*u*y + 3*c**2*s**3*u - 62*c**2*s**2*y**2 - 773*c**2*s*u + 5*c*s**2*y + 4241*s**3*u*y**2 wrt y? -124*c**2*s**2 + 8482*s**3*u What is the second derivative of -2374343*o**5 - 449081*o? -47486860*o**3 What is the third derivative of -1833123*l**3 - 932792*l**2? -10998738 Find the first derivative of 4*q*t**3 - 8*q*t**2 + 297*q*t - 11*q - 2*t**3 - 28409*t**2 - 1 wrt q. 4*t**3 - 8*t**2 + 297*t - 11 Find the third derivative of 655411*m**3 - 804291*m**2 wrt m. 3932466 Differentiate -1200*f**2*j**2 - 126400*f**2 - 20*f*j with respect to j. -2400*f**2*j - 20*f Find the second derivative of -27123*l**2*u**3 - 37918*l**2*u - u**5 + 1 wrt u. -162738*l**2*u - 20*u**3 Find the second derivative of 9800*c**2*v**2 + 2*c**2 + 20284*v wrt v. 19600*c**2 Find the third derivative of 202*d**6 - 55*d**3 - 2637*d**2. 24240*d**3 - 330 What is the second derivative of 4551292*a**2 - 194335*a? 9102584 Find the third derivative of -4692036*y**3 - 5386722*y**2. -28152216 Find the second derivative of 33*a**2*z**2 - 570*a**2 + 182*a*z**2 - 166*a*z + 2 wrt a. 66*z**2 - 1140 Find the second derivative of 56050*z**3 - 9230*z. 336300*z Find the first derivative of -458*p**3*q + 263*p**2*q**2 - 2*q**2 - 19*q - 623 wrt p. -1374*p**2*q + 526*p*q**2 What is the third derivative of -2*q**5 - 376596*q**3 - 38*q**2 + 59003*q wrt q? -120*q**2 - 2259576 Find the third derivative of -22*z**4 + 5156*z**3 + 4*z**2 - 44107*z wrt z. -528*z + 30936 What is the third derivative of -2395823*k**3*l**5 - k**3*l**2 + 1221*k**3*l - 3*k**2*l**2 - 25*k*l - 2*k wrt l? -143749380*k**3*l**2 Find the third derivative of 203537*g**3 + g**2 + 7*g - 11426. 1221222 Find the first derivative of -7*i**2*t**4 + 592*i**2 + 248*i*t**4 - 14*i - 2 wrt t. -28*i**2*t**3 + 992*i*t**3 Find the third derivative of -224806*d**3*r**4 + 5*d**3*r**3 - 29*d**3*r + d**2*r**2 + 17*d + 4*r - 8 wrt r. -5395344*d**3*r + 30*d**3 What is the second derivative of -8*u**5 + 12*u**4 + 58*u**3 - 114*u - 74 wrt u? -160*u**3 + 144*u**2 + 348*u What is the second derivative of -3977*p**5 + 2*p**4 - p**2 - 379133*p + 1 wrt p? -79540*p**3 + 24*p**2 - 2 What is the third derivative of 2419*o**5*t - 11*o**4*t**2 + 208*o**2*t + 3*o*t**2 - 21*o wrt o? 145140*o**2*t - 264*o*t**2 Find the third derivative of -3144*z**6 + z**3 - 128781*z**2. -377280*z**3 + 6 What is the first derivative of -44800*w**2 - 244247 wrt w? -89600*w Find the third derivative of 113231*o**3*p + 103412*o**2*p wrt o. 679386*p Find the first derivative of 27850*u - 69529. 27850 Find the first derivative of 2940487*t**3 - 2951978. 8821461*t**2 Differentiate -3*l**3 - 788*
{ "pile_set_name": "DM Mathematics" }