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t o = 6.5 + -6. Let y = o + 0.5. Which is the biggest value? (a) -2/11 (b) -0.3 (c) y c Let s be 0 + -5 + (-444)/(-84). What is the smallest value in -2, -0.5, -7, s? -7 Let v = 1/150 + -113/75. Which is the fourth biggest value? (a) -0.2 (b) v (c) 4/9 (d) 5 b Let w = -4.003 + 0.003. Which is the third biggest value? (a) -0.1 (b) -0.2 (c) w c Let t = 5.37 + -0.37. Let g = 0.5 - 0.3. Which is the second biggest value? (a) g (b) -2 (c) t a Let p = 27 - 28. Which is the second smallest value? (a) -0.4 (b) 1/4 (c) p a Let p = -15 + 13. What is the second biggest value in -1, 4, p? -1 Let f = 12.6 - 13. What is the second biggest value in -0.12, f, -0.2? -0.2 Suppose -7*s + 3*s + 8 = 0. Let r = 0.15 + -0.15. Which is the third smallest value? (a) r (b) s (c) -2 b Let b = -46 - -46.5. What is the biggest value in b, 0, -1, 1? 1 Let r = -21 + 6. Let a = -11 - r. Let i be (-1)/a - 21/(-52). What is the biggest value in i, -1, 0.2? 0.2 Let g = 0.7 + -0.2. Let p = -0.049 + 2.149. Let l = p + -2. What is the third smallest value in g, -3, l? g Let l be 8/(-2) + 1*-2. Let n be 2/(-4) - (-9)/l. What is the third biggest value in n, 0.3, 4? n Let g = -8 + 5. Let c = 1.1 - 1.5. What is the second biggest value in c, g, -0.2? c Let n = -26 + 23. What is the biggest value in -2/25, n, 1, 5? 5 Let n = 7 - -31. Let w be n/30 - 8/12. Let s be 12/9*(-1)/6. Which is the second smallest value? (a) w (b) s (c) -4 b Let i be ((-33)/9)/((-1)/33). Let x = 603/5 - i. Which is the third smallest value? (a) -4 (b) x (c) -2/3 b Let h = 0.02 - -5.98. Let a = h - 6.06. Let x = a - 0.34. What is the smallest value in 0.4, 5/4, x? x Let f = 14 + -17. Which is the second smallest value? (a) -2/7 (b) -1/8 (c) f a Let v = 3/13 + -31/78. Let a = 6.4 - 6. Let b be 22/12 + 13/(-39). What is the second smallest value in b, v, a? a Let u = -19/72 + -1/9. Which is the smallest value? (a) u (b) -4 (c) 2.2 b Let u = -19.45 - -20. Let g = -0.5 + u. Which is the third biggest value? (a) g (b) 0.3 (c) -2/5 c Let r = 63 - 62.7. Which is the biggest value? (a) r (b) -2 (c) 1/10 (d) -0.5 a Suppose -18*n = 32 + 58. Let r = 8 + -4. What is the third smallest value in r, n, -2? r Let k = -33 - -35. Suppose -s = 3 - 1. Which is the second smallest value? (a) s (b) k (c) -4/9 c Let k be 2/(-6)*(-7)/15. Let j = k - 167/495. Let o = 2 - 1.8. Which is the third biggest value? (a) o (b) j (c) -0.2 c Let r = 1.5 + -2. Suppose 5*t + 5 = 5*j, 4*j - 5*j = t - 7. Let k be (-17)/35 - 4/(-14). Which is the second biggest value? (a) k (b) r (c) t a Let j = 24 + -10. Let f = 13.9 - j. Which is the second smallest value? (a) 0.1 (b) f (c) -4 b Let g = 2893/9 - 321. Which is the third biggest value? (a) g (b) -2 (c) -1/2 (d) 0.3 c Let f = 0.4 + -0.5. Let b = 0.2 + f. Let x = -0.02 - -5.02. What is the third biggest value in x, -1, b? -1 Suppose r - 6*r - 15 = 0. Let t = r - -4. Let v = -9/2 + 5. What is the third biggest value in t, v, 0.4? 0.4 Let o = -3.5 - -3. Let n = 1.5 - o. Let v be (7 - 138/20)*(-30)/4. Which is the third biggest value? (a) n (b) v (c) -0.3 b Suppose -2*o + 3*m - 5 = 6, -4*m = -4*o - 12. Let w = 3 + 2. Which is the third biggest value? (a) 3 (b) w (c) o c Let x be ((-12)/16)/((-1)/4) - 4. What is the third smallest value in 0.1, -0.3, x? 0.1 Let h = 25 + -15. Let q = h + -6. Let u(z) = z**2 - z. Let v be u(0). Which is the smallest value? (a) v (b) q (c) -1 c Let c be (-4)/(-26) + 792/(-78). Let s = -6 - c. What is the smallest value in 0.3, s, -0.3? -0.3 Let v be ((-1)/2)/((-15)/(-30)). Suppose o + 2*g + 11 = 3, 24 = -3*o + g. Let z be ((o/(-10))/2)/3. What is the smallest value in v, 2/11, z? v Let m be (5/(-40))/(1/(-2)). What is the third smallest value in m, 0.2, -2/9? m Let q = 0.08 - -0.42. Let g = -3 + 2.9. Let k = -0.07 - 0.33. What is the third smallest value in k, q, g? q Let s = 30 + -25. Which is the third smallest value? (a) s (b) -1 (c) 0 a Let o = -30 - -34. What is the second biggest value in -5/4, 3, -2, o? 3 Let i = 0.1 + -1.1. Let r = i - -0.7. Let h = 0.04 + 0.96. What is the second biggest value in 2/3, r, h? 2/3 Let h be 2/4*(-28)/(-77). Which is the second smallest value? (a) 1 (b) h (c) -5 b Let f be (-2 - -3) + -2 + -4. Let p = 9 + f. Which is the second smallest value? (a) p (b) 1 (c) -0.3 b Let p = 0.047 - 4.047. What is the fourth biggest value in 2, -1/8, -3, p? p Let q = -5.6 + 6. What is the smallest value in 2, -1/7, q? -1/7 Let l = 35 + -35.92. Let r = l - -0.9. Let j = r + -0.48. Which is the biggest value? (a) j (b) -0.1 (c) 5 c Let s = -3/7 - -51/70. What is the third smallest value in s, -3, -2/3, 3? s Let u be ((-1)/2)/(1 - -1). Let n(g) = g**3 + 5*g**2 - 11. Let b be n(-4). What is the third biggest value in 1, b, u? u Let u = 23 + -26. Which is the third biggest value? (a) u (b) 2/13 (c) -4 c Let y = 6 + -8. Let s = 54 - 49. What is the third biggest value in 0, y, s? y Let a = -1 + -0.3. Let f = -0.3 - a. Let i be 14/6 - (1 + 1). What is the biggest value in 3, i, f? 3 Let n be 2 + (27/(-33) - 1). Which is the third smallest value? (a) -3 (b) 3 (c) n b Let i = 9 + -4. Let k = -17 + 291/17. Which is the second biggest value? (a) -4 (b) k (c) i b Let j = -5 + 8. Let h be (-9)/2*2 + (-12 - -16). Which is the third biggest value? (a) h (b) -1/8 (c) j a Suppose 18*u = 22*u. Which is the second biggest value? (a) u (b) 4 (c) 9 b Let f = 0.29 + -0.59. What is the third smallest value in 1/5, f, -5/6? 1/5 Let j = 0.01 - 2.01. Let u = 0.8 - -2.2. Let o = 16 - 15. Which is the biggest value? (a) o (b) j (c) u c Let g be (-28)/(-10) - 1/(-5). Let c(i) = i**3 + 6*i**2 - 4*i - 8. Let k be c(-6). Let u be (-2)/k*-26 - 2. What is the third smallest value in 1, u, g? g Suppose -o = -y - 4*o - 14, -5*y - 2*o - 31 = 0. What is the third smallest value in 1/4, y, 2? 2 Let x = -14.3 + 14. Which is the third biggest value? (a) x (b) -0.1 (c) 1/8 a Let v = 0.08 - 0.05. Which is the second biggest value? (a) -2/9 (b) 1 (c) v c Let r = 30 - 17. Let u = 12 - r. Let a = 1 - 0.9. What is the biggest value in u, a, -3/7? a Let t = 106.9 + -107. Which is the third smallest value? (a) 1 (b) -0.3 (c) t (d) 2/5 d Let o = 0.23 + 0.07. Let t = -6.1 - -1.1. Let w = 5.1 + t. Which is the second biggest value? (a) o (b) w (c) -3/5 b Let d = 72 + -67. Let t = -4 - -3.8. Let n = t + 3.2. What is the third smallest value in n, -1/6, d? d Let h = -10 - -14. Let g = h + -4. Which is the biggest value? (a) g (b) 1 (c) 1/7 b Let c(r) = r**3 + 16*r**2 + 2*r + 29. Let i be c(-16). Let m = -0.2 + 0.5. What is the smallest value in m, i, -3/4? i Suppose 16*p = 12*p + 12. Which is the fourth smallest value? (a) 5 (b) -5 (c) -1/2 (d) p a Let f = -7 - -6.9. Suppose -1 = -p + 2. Let q = p - 1. What is the second biggest value in f, 3/2, q? 3/2 Suppose -p + 6*p = -100. Let y be (-10)/p + -1 + 2. Which is the smallest value? (a) -2 (b) y (c) -1/2 a Let c be (1*3*1)/(-1). Let z = 108 + -104. What is the second biggest value in z, -1/3, c? -1/3 Let i = -17 + 81/5. What is the third biggest value in -2, i, -4? -4 Let g be ((-2)/4)/((-2)/4). Let t be -3 + 5 + 1/g. Suppose 0*s - 3*w = s + t, -w - 1 = -4*s. Which is the biggest value? (a) s (b) -2 (c) 3/2 c Let r(z) = z**3 - 4*z**2 - z - 1. Let g be r(4). Let s be -3 - ((-1 - g) + -2). Let h = -0.1 + 0.3. What is the second smallest value in s, 1, h? h Let g = 5.8 + -8.8. Let t = 2 + 2. What is the second biggest value in g, 1, t? 1 Let y = -0.08 - 3.92. Let f = 55 + -56. What is the third biggest value in y, 1, f? y Suppose 3*u - 5*u = 12. Let h = -3 - u. What is the biggest value in 0.1, h, -1? h Let o = -21.06 - -21. What is the third smallest value in o, -0.4, 2? 2 Let p = 1.1 + -7.1. Let j = 6.08 + p. Let x = -0.02 - j. What is the third biggest value in -5, x, 1? -5 Let v = -4 + 4. Let i = v - -0.1. What is the smallest value in 0.2, 2/11, i? i Let d(a) = -a**2 + 7*a + 5. Let o be d(7). Let u = -4 + 9. Suppose -y + 7 = o*q + 31, 20 = -3*q + u*y. What is the smallest value in 0.5, q, 0? q Let r = -3.7 - -4. Which is the third smallest value? (a) 1 (b) -2/5 (c) r a Let o be (-186)/24 - 2/8. Suppose 5*w - 12 = -3*f + 19, -w - 4*f
{ "pile_set_name": "DM Mathematics" }
t m, 1, 0, -4 in ascending order. -4, 0, 1, m Let u = -94 + 89. Sort -3, -2, u, -18 in descending order. -2, -3, u, -18 Let t = -26 - -19. Put 0.5, t, -1 in decreasing order. 0.5, -1, t Suppose 2*o - 5*y = 1, 5*o - 2*y - 5 = -13. Let a = -8 + 4. Let t(k) = -2*k**3 + 2*k**2 - k. Let u be t(1). Sort u, o, a. a, o, u Let f = 1 + 0. Let t = 0.6 - -0.4. Let w = 0 - t. Sort -2/9, w, f. w, -2/9, f Suppose s + 3*k = -12, 4*s - 3*k - 15 = -3. Let b be (s - 9/6)*2. Let p be (-22)/(-6) - (-4)/(-6). Sort p, b, 4 in decreasing order. 4, p, b Let j be (-30)/4*4/6. Let a be (-1)/((j/2)/(-5)). Sort 0, a, 5. a, 0, 5 Let o = 46 - 48. Sort -4, o, 4 in decreasing order. 4, o, -4 Let h = 20 - 20.2. Put -1/4, h, -4, 2/13 in descending order. 2/13, h, -1/4, -4 Let c = -0.2 - 0.8. Let p = c - -3. Let k(z) = -z**3 - 11*z**2 - 10*z - 3. Let a be k(-10). Sort p, 1, a in descending order. p, 1, a Suppose 0 = 4*i - i. Sort 4, i, -3, 0.09 in descending order. 4, 0.09, i, -3 Let g be (-28)/(-35) + ((-98)/(-40))/1. Sort g, 4, -0.1 in descending order. 4, g, -0.1 Suppose 0 = -3*o - 15, o = -4*f - 0*o - 17. Sort 0.4, f, 4 in descending order. 4, 0.4, f Let c = -2 - -5. Let u = -10 + 7. Sort -2, c, u. u, -2, c Suppose 5*z - 1 = -3*n, -17 = 5*n - 2. Suppose -z*u = u - 15. Sort -5, -4, u in descending order. u, -4, -5 Let k = 0.38 - -0.02. Let i = 112.59 - 112. Let t = 0.19 - i. Put 4, k, t in decreasing order. 4, k, t Suppose 3*u = -2*u. Sort 1, u, 2 in increasing order. u, 1, 2 Let g be (-1)/(-1 + 0) - 3. Let k be g/(-2 - 0)*-3. Let q(n) = -2*n + 16. Let x be q(7). Put 1, k, x in descending order. x, 1, k Suppose 0 = b + 11 - 6. Let f(z) = -z**2 - 7*z - 5. Let c be f(b). Sort 0, c, -2 in decreasing order. c, 0, -2 Let f be (3/(-15))/((-12)/(-10)). Let q = 6 + -6. Sort q, -3/4, f in increasing order. -3/4, f, q Let q be -3 - -3 - 2 - -2. Sort q, 2, 3 in increasing order. q, 2, 3 Let b be 80/24*(-6)/5. Put -2, b, -1 in decreasing order. -1, -2, b Suppose -4*p - 4 = -0. Let h = -5 + 10. Sort h, 3, p in decreasing order. h, 3, p Let l = -96.3 - -96. Sort -1, l, 5 in ascending order. -1, l, 5 Let p = -1.11 + 0.11. Suppose 0 = 2*r - 3*h - 14, 2*r - 5 = -h + 1. Let d be r/10 + (-69)/(-15). Sort d, p, 1/4 in increasing order. p, 1/4, d Let t = -2 - -2. Suppose -4*i - 21 = j + 4, t = -j - 3*i - 20. Suppose 0*s + 3 = 3*s. Sort -4, j, s. j, -4, s Let g = 9 + -9. Sort -1, g, -4 in increasing order. -4, -1, g Let v = 79 + -78.8. Let r = -5.92 - -6. Put r, 1/6, v in descending order. v, 1/6, r Suppose 0 = -2*z + 5*z. Suppose r + r + 2*b - 36 = z, 4*b = -5*r + 88. Suppose 2*y - 2*u - r = -0*y, y = -5*u - 10. Sort y, 1, 4 in increasing order. 1, 4, y Let z be (6/(-4) - -1)*0. Let p be z - 33/9 - -3. Suppose 3*s = 2*s - 4. Sort 2, p, s in descending order. 2, p, s Suppose 3*i = 5*z - 9 - 4, 4*i - 4 = -4*z. Sort -5, -2, i. -5, -2, i Suppose -4*l - 6 = -4*q + 6, -2*q = -5*l. Let o = -7973/9 - -883. Let m = o - -49/18. Put -0.03, q, m in descending order. q, -0.03, m Suppose 3*x = x - 6. Suppose 0 = 19*m - 4*m + 180. Put x, m, 1 in decreasing order. 1, x, m Let y(b) = -131*b**3 + b - 1. Let m be y(1). Let o = -915/7 - m. Sort o, 2, -5 in ascending order. -5, o, 2 Let y = -67.1 + 64. Let v = y - 0.9. Put v, -0.5, 0.2 in descending order. 0.2, -0.5, v Let s = 3.7 - 18.7. Let v = 15 + s. Sort -0.04, v, -2/5 in ascending order. -2/5, -0.04, v Let v = -11 + 10.98. Sort -5, 0.1, v in decreasing order. 0.1, v, -5 Let k = 4.996 - -0.004. Sort -0.2, k, -8 in ascending order. -8, -0.2, k Let u be ((-12)/(-15))/((-2)/(-5)). Sort 1, u, -3 in increasing order. -3, 1, u Let s = 52.4 - 52. Let h = -0.3 - 4.7. Put 0, h, s in descending order. s, 0, h Suppose -3*l = 2*n + 36, -2*l - 5 = -l + 3*n. Let u be -1 - (34/l + 1). Let d = 2 - -3. Sort u, d, 3 in increasing order. u, 3, d Let c be ((-4)/8)/((-3)/36). Let h be ((-4)/c)/((-3)/(-18)). Sort 3, -5, h in increasing order. -5, h, 3 Let c = 115/4 + -29. Let m(d) = -13*d - 2. Let j be m(-1). Let k(w) = -2*w + 21. Let b be k(j). Put c, b, 1 in increasing order. b, c, 1 Let r = 301/6 + -50. Put r, 0.02, -1/3, 2/11 in increasing order. -1/3, 0.02, r, 2/11 Let a(p) = -p**2 - p + 7. Let k be a(-3). Put 3, 2, k in decreasing order. 3, 2, k Let r be (-26)/12 - 16/(-8). Put 14, 1, r in increasing order. r, 1, 14 Let y(l) = -l**3 - 4*l**2 - l + 1. Let g be y(-4). Suppose -4*r = -3*r - 1, -r = 3*t + 5. Suppose 0 = 5*x - 14 - 1. Sort g, x, t. t, x, g Let q = 16.41 - -2.49. Let n = q - 19. Sort -0.9, -1, n. -1, -0.9, n Let q(y) = 2*y**2 - 3. Let a be q(-2). Let f be (-1)/6*1 + 0. Sort 1, f, a in ascending order. f, 1, a Suppose 3*i + 12 + 2 = -2*w, -5*i - 24 = 4*w. Let p be 1*-2*2/(-4). Sort p, -2, w. -2, w, p Let x = -36 + 51. Suppose -5 = 5*b + x. Put -2, -5, b in ascending order. -5, b, -2 Let x = 2 + -7. Put x, 0, -2 in increasing order. x, -2, 0 Let z = 36 + -38. Put z, 2, -1/5 in decreasing order. 2, -1/5, z Let r be ((-54)/4)/(3/(-48)). Let a = 3887 - 16417/4. Let o = r + a. Put 3/4, o, 0.1 in descending order. 3/4, 0.1, o Let p = 34 + -41. Put -4, p, 2 in increasing order. p, -4, 2 Let r = -1.4 - 2.6. Put r, 2/9, -2 in decreasing order. 2/9, -2, r Let t = 3 - 4. Let i = 1 + t. Sort 1, i, -5 in ascending order. -5, i, 1 Let x = 45 - 41. Let y = -5 + 2. Sort -5, y, x. -5, y, x Suppose -y + 5*t + 3 = 6, -51 = -3*y - 5*t. Suppose -5 = -3*x + 4. Suppose 4 = -2*b + 2*o, 0 = -3*b + x*o + 2*o - y. Sort -4, b, -3 in ascending order. -4, -3, b Suppose -i + 0*i - c - 2 = 0, 2*i - c = 11. Suppose 6*t - 15 = -3. Put i, t, 1 in decreasing order. i, t, 1 Let d(z) = z**2 + 5*z + 9. Let w be d(-3). Sort w, 2, -1 in descending order. w, 2, -1 Let x(c) = c**3 + 3*c + 1. Let s(d) = -d**3 - 2*d - 1. Let j(h) = 4*s(h) + 3*x(h). Let i be j(1). Sort 1, i, 3 in increasing order. i, 1, 3 Suppose 15 = -8*n + 4*n + k, n = -3*k - 20. Sort -4, 2, n, 5 in ascending order. n, -4, 2, 5 Let o be 30/80 - (-9)/(-8). Sort -1, o, 4, 2/5 in descending order. 4, 2/5, o, -1 Let j = 12646/29 + -436. Sort j, -2/19, 0 in descending order. j, 0, -2/19 Let c = -2.7 - -3. Let l = 3 + -2. Put -4, l, c in decreasing order. l, c, -4 Let c be -5*1/(-15) + 26/(-6). Let i(o) = -o**2 - 7*o - 6. Let h be i(-6). Let n be (2 + h)*1/2. Sort -1, n, c. c, -1, n Suppose -3*y + 4*f = 2*f + 752, 1003 = -4*y + 3*f. Let t = 3752/15 + y. Let p = -33/4 + 8. Sort t, -0.3, p. -0.3, p, t Let x = 0.4647 - -0.0353. Let p = 41/24 - 27/8. Put p, 3, x in decreasing order. 3, x, p Let m be 4 + (-1 - 0)*1. Suppose 5 = -13*t - 21. Sort t, 1, m. t, 1, m Let a(i) = i**3 - 4*i**2 - 4*i - 6. Let v be a(5). Sort v, -6, 5. -6, v, 5 Suppose -18 = 7*k + 17. Let a be (0 + -3)*(-4)/(-3). Sort k, a, 5 in decreasing order. 5, a, k Let r = -0.5 - -2. Let g = r + -1.74. Let p = g + -0.06. Put 2, -0.5, p in ascending order. -0.5, p, 2 Let i be (-2 - -2) + 4 + (-7 - 0). Sort i, 15, -2 in descending order. 15, -2, i Let i(p) = p + 1. Let q be i(-1). Suppose -2*o = -4*m - o + 6, -4*m + 14 = 3*o. Let s be (1 - m)*4/6. Sort -4, s, q in decreasing order. q, s, -4 Let v = -5.1 - -5. Let c = 0 - v. Let q = -13 + 8. Sort -3, q, c in decreasing order. c, -3, q Let i = 1 + 0. Let g = i + -1. Sort g, -2, 4 in decreasing order. 4, g, -2 Let c(m) be the first derivative of -m**4/24 + m**3/3 - m**2 - 2. Let q(a) be the second derivative of c(a). Let j be q(2). Put -1, j, -2 in increasing order. -2, -1, j Let j = 1/42 - 1/6. Let g = -8 + 13. Suppose 5*x = g*o + 35, -4*x - 2*o - 3*o + 10 = 0. Put x, -2, j in decreasing order. x, j, -2 Let i = 2/129 - 649/258. Sort 5, i, -0.5. i, -0.5, 5 Let n be (-6)/(-9)*(-36)/8. Let h = -7 + 13. Let u = n + h. Sort -4, 0, u in ascending order. -4, 0, u Let g = -22 + 17. Sort 4, 1, g in descending order. 4, 1, g Let x = -3.3 - -3.6. Sort x, 4, 1/2 in ascending order. x, 1/2, 4 Suppose 8 = 4*p - 6*p. Put p, 4, 0, -3 in ascending order. p, -3, 0, 4 Let n be (-26)/(-39) + 28/(-6). Sort n, 5, 9 in decreasing order. 9, 5, n Let g = 4.5 - 4. Let z = -6 + 7. Sort 2/3, g, z in descending order. z, 2/3, g Let g = 58 + -63. Put g, 3, 5 in ascending order. g, 3, 5 Let i be (-4)/(((-1)/(-1) - 2) + 3). Sort -1, -3, i, 0 in decreasing order. 0, -1, i, -3 Suppose 3*o = o. Put o, 5, -2 in descending order. 5, o, -2 Suppose 0*i + 12 = 3*i. Suppose 0 = 2*l
{ "pile_set_name": "DM Mathematics" }
53) + 1 + -2)**2*-5. -5270 + 90*sqrt(13) Simplify (-2*sqrt(80) - sqrt(5))**2*3. 1215 Simplify -5*(sqrt(19) - sqrt(931)*2)*-6. -390*sqrt(19) Simplify (sqrt(1344) + -2*sqrt(1344) - sqrt(21))/sqrt(3). -9*sqrt(7) Simplify (4 + (sqrt(28)/sqrt(4))**2)*2. 22 Simplify -6*(-4 + (1*sqrt(52))/sqrt(4)). -6*sqrt(13) + 24 Simplify (-4*(sqrt(17) + sqrt(153)) + sqrt(68) + 0)**2. 3332 Simplify (4 + sqrt(5) + (sqrt(5) - (sqrt(15)/sqrt(3))**2))*4. -4 + 8*sqrt(5) Simplify ((1*1*sqrt(190))/sqrt(10))**2. 19 Simplify ((sqrt(720)*-1)/((2*sqrt(30))/sqrt(3)))**2. 18 Simplify (sqrt(171)*-1 + -1 + 2)**2. -6*sqrt(19) + 172 Simplify (((sqrt(78) + 1*sqrt(78) - sqrt(78)) + sqrt(78) + sqrt(78))/sqrt(6) - (3 + (sqrt(13) - (2 + sqrt(13)) - sqrt(13))))**2. -8*sqrt(13) + 209 Simplify ((sqrt(1225) + sqrt(1225) + sqrt(1225) + sqrt(1225) + sqrt(1225)*-1 + sqrt(1225))/sqrt(5) + -4)**2. -224*sqrt(5) + 3936 Simplify (sqrt(3) + (sqrt(3) - (sqrt(3) + 1))**2 + 2)*2. 2*sqrt(3) + 6 Simplify (-5 + sqrt(51)/sqrt(3) - sqrt(85)/(-2*sqrt(5)))*-1. -3*sqrt(17)/2 + 5 Simplify (sqrt(117)/((sqrt(54) + sqrt(108)/sqrt(2))/sqrt(6))*1)**2 + -2. 5/4 Simplify (-3*sqrt(162) + sqrt(288) + sqrt(288)*2)**2. 162 Simplify (-3*(-2 + sqrt(72))*6)**2. -7776*sqrt(2) + 24624 Simplify ((sqrt(260) + sqrt(260)*-2)/sqrt(5))**2. 52 Simplify sqrt(612) + -2*sqrt(612) + sqrt(612) + -4 + (sqrt(612) - 2*sqrt(612)) + 0. -6*sqrt(17) - 4 Simplify ((sqrt(54)*3)/sqrt(9))/((3*sqrt(15))/sqrt(5)). sqrt(2) Simplify (sqrt(2) + sqrt(8)/(sqrt(4) - sqrt(100)))**2 + 3. 33/8 Simplify (3*sqrt(4131))/sqrt(3). 27*sqrt(17) Simplify (sqrt(1900) + -4)**2*2*-2. -7664 + 320*sqrt(19) Simplify sqrt(55)/(sqrt(20)/sqrt(4)*-2). -sqrt(11)/2 Simplify (-3*-1*sqrt(55))/sqrt(11). 3*sqrt(5) Simplify ((2*sqrt(210)/sqrt(5))/sqrt(6) + -4)**2. -16*sqrt(7) + 44 Simplify ((sqrt(68) - 6*(sqrt(68) + sqrt(68) + sqrt(68) + (sqrt(68) - -1*sqrt(68)) + sqrt(68) + sqrt(68))) + sqrt(68))/(sqrt(16)/sqrt(4)*4). -10*sqrt(17) Simplify 5*sqrt(2)*1 - sqrt(12)/(sqrt(36)/sqrt(6)). 4*sqrt(2) Simplify (sqrt(20)*-2)/sqrt(10)*-6. 12*sqrt(2) Simplify -5*(sqrt(24)/sqrt(432) + sqrt(2) + sqrt(2)). -65*sqrt(2)/6 Simplify (((1*sqrt(432))/sqrt(12) - sqrt(36))/((sqrt(24) + sqrt(96)/sqrt(4))/sqrt(2)))**2. 0 Simplify (0 + -1 + sqrt(8))**2. -4*sqrt(2) + 9 Simplify -5*((-2*sqrt(136))/sqrt(4))/(sqrt(50)*1). 2*sqrt(17) Simplify 2*((sqrt(39)/sqrt(3))**2 + -4)*5. 90 Simplify -2*(-1*sqrt(11))**2 + (-3*sqrt(891) - sqrt(11))**2. 8602 Simplify 3 + (sqrt(288) + sqrt(288)*-2)**2*2. 579 Simplify 1 + sqrt(931) + 4 + (5 + (sqrt(931)*1 - sqrt(931)))**2 + 2. 7*sqrt(19) + 32 Simplify (sqrt(35)/(sqrt(15)/sqrt(3)) + sqrt(7) + sqrt(35)/sqrt(5) + 1)**2. 6*sqrt(7) + 64 Simplify -1 + sqrt(8)/sqrt(4)*-4 + -1*sqrt(2)*-6. -1 + 2*sqrt(2) Simplify 1 + -4*sqrt(153) + (sqrt(1377) + -1*sqrt(1377) - sqrt(1377)) + -1. -21*sqrt(17) Simplify (sqrt(25)/(sqrt(10)/sqrt(2)))**2 + (2 + 0 + sqrt(5) + sqrt(5) - sqrt(5))**2 + 1 + (2*sqrt(20))/sqrt(4). 6*sqrt(5) + 15 Simplify (-1 + (3*(sqrt(228)*2 - sqrt(228)) + sqrt(228))/(sqrt(108)*-6))**2. 4*sqrt(19)/9 + 157/81 Simplify sqrt(24)/(1*sqrt(8)) + 0. sqrt(3) Simplify (sqrt(160) + (sqrt(160)*2 + sqrt(160) - sqrt(160) - sqrt(160)) + sqrt(40))/sqrt(8) + -2. -2 + 5*sqrt(5) Simplify (1*sqrt(405) - (sqrt(5) + -1 + 3 + sqrt(5) - sqrt(5)) - ((sqrt(45) - 2*-1*sqrt(45)) + sqrt(45))/sqrt(9))**2. -16*sqrt(5) + 84 Simplify -4 + (sqrt(300) - (sqrt(300)*2*6 - sqrt(300)))**2 + 0. 29996 Simplify 2 + (-3*1*sqrt(147) + -3)**2. 126*sqrt(3) + 1334 Simplify sqrt(2299) + 2*-1*sqrt(2299) + (sqrt(2299) + 2)*3. 6 + 22*sqrt(19) Simplify (-5 + sqrt(5)*2 + 4)*3. -3 + 6*sqrt(5) Simplify (sqrt(200) + (sqrt(200) - ((sqrt(200) - (sqrt(200) - (-3*sqrt(200))**2)) + sqrt(200))) + sqrt(200))*-2. -40*sqrt(2) + 3600 Simplify 6*-1*(sqrt(432) + 2)**2. -2616 - 288*sqrt(3) Simplify -3*(sqrt(240)/(-2*sqrt(8)))/(sqrt(24)/(sqrt(4)*-1)). -3*sqrt(5)/2 Simplify -1 + (2*sqrt(6)/sqrt(2) - sqrt(6)/sqrt(2)*5). -3*sqrt(3) - 1 Simplify (-4*2*sqrt(1700))**2. 108800 Simplify (sqrt(968)*2*-1*4)**2. 61952 Simplify sqrt(70)/(-5*sqrt(20)/sqrt(2)). -sqrt(7)/5 Simplify 5*-5*sqrt(10)/(sqrt(4)/sqrt(2)). -25*sqrt(5) Simplify sqrt(19)*1*-6 + -1*(-1 + sqrt(19))**2 + -3. -23 - 4*sqrt(19) Simplify -6*(sqrt(13) + -2*sqrt(208) + sqrt(13))**2 + 1. -2807 Simplify (2 + -1*sqrt(162)*2)**2. -72*sqrt(2) + 652 Simplify ((sqrt(320) - (sqrt(320) + -1)) + -2*sqrt(5)*6)**2*-3. -2163 + 72*sqrt(5) Simplify sqrt(15)/(1*sqrt(20)). sqrt(3)/2 Simplify sqrt(156)/((-2*sqrt(132))/sqrt(11)). -sqrt(13)/2 Simplify sqrt(35)/(sqrt(5) - (sqrt(720) - sqrt(720)*-2)). -sqrt(7)/35 Simplify 5 + sqrt(72)*2 + -5. 12*sqrt(2) Simplify 2*(sqrt(80)*-2 + sqrt(80))**2 + -4. 156 Simplify sqrt(204)/sqrt(3) - (0 + sqrt(17))*-3. 5*sqrt(17) Simplify sqrt(40)/sqrt(128). sqrt(5)/4 Simplify (sqrt(1400)/sqrt(8)*5)**2. 4375 Simplify (sqrt(48)*-2)/sqrt(4)*3. -12*sqrt(3) Simplify (sqrt(1008)*5)**2 + -2 - sqrt(1008). -12*sqrt(7) + 25198 Simplify sqrt(10)/sqrt(2) + 2 + 2 + -3. 1 + sqrt(5) Simplify (sqrt(18) - -6*sqrt(450))/sqrt(9)*-3. -93*sqrt(2) Simplify ((-1*sqrt(143))/sqrt(11)*6)**2*-5. -2340 Simplify -1*(-3*sqrt(539) - ((sqrt(11) + sqrt(11) + 2)*3 - sqrt(11)))**2. -7472 - 312*sqrt(11) Simplify (sqrt(2448)*-3)**2 + 3 + -3. 22032 Simplify 5*(-2*(1 + sqrt(17))**2 + sqrt(17) - sqrt(17) - 1*(sqrt(17)*-1)**2). -265 - 20*sqrt(17) Simplify (-3 + sqrt(19) - sqrt(19))**2*-4*-2. 72 Simplify (1*sqrt(459) + sqrt(459))/(sqrt(15)/(sqrt(5) + sqrt(20))) + 0. 18*sqrt(17) Simplify -6*(4 + (-2 + sqrt(11))**2 + sqrt(11)). -114 + 18*sqrt(11) Simplify (-1 + 1 + sqrt(125))**2. 125 Simplify sqrt(612) + -5 + -3 + (sqrt(17) + 0)**2. 9 + 6*sqrt(17) Simplify (sqrt(20) - sqrt(240)/(sqrt(36)/sqrt(3)))/(-3*sqrt(16)/sqrt(4)). 0 Simplify (((sqrt(60) - 2*sqrt(60)) + sqrt(60))/sqrt(12))**2 + 3. 3 Simplify (2*sqrt(136))/sqrt(8) + (sqrt(17) - (sqrt(17) - ((sqrt(272))**2 + 5))). 2*sqrt(17) + 277 Simplify (6*3*sqrt(252)*-5)**2. 2041200 Simplify (1*sqrt(68))**2 + -1. 67 Simplify -2 + (sqrt(22)/(-1*sqrt(99) + sqrt(11)))**2. -3/2 Simplify ((4*sqrt(156)/sqrt(4))/(sqrt(48) - sqrt(768) - sqrt(3))*-2)**2. 64/13 Simplify -5*-1*sqrt(11)*-1. -5*sqrt(11) Simplify (-1 + sqrt(325)*-2 + -1*sqrt(325)*-1)**2. 10*sqrt(13) + 326 Simplify (sqrt(68)/sqrt(4))**2*1*2*-5. -170 Simplify (-4 + sqrt(833)*2 + sqrt(833) - (0 + sqrt(833) - sqrt(833))*-5)**2. -168*sqrt(17) + 7513 Simplify (sqrt(567)*-1 + -5 + sqrt(567) + -1 + 2)**2. 16 Simplify (sqrt(4608) - (sqrt(4608) + (sqrt(4608)*1 - sqrt(4608))))**2*5. 0 Simplify (-3*sqrt(65)*-1)/(sqrt(60)/(-1*sqrt(12))). -3*sqrt(13) Simplify ((sqrt(91) - -5*2*sqrt(91)) + sqrt(91) + sqrt(91))/(sqrt(28)*1) + 2. 2 + 13*sqrt(13)/2 Simplify (-2 + sqrt(1008))**2 + -3. -48*sqrt(7) + 1009 Simplify (4 + sqrt(32) + -5)**2. -8*sqrt(2) + 33 Simplify 4*(sqrt(99) + sqrt(99) + sqrt(99)*-2 + sqrt(99) + sqrt(99))**2 - (0 + (sqrt(99) - sqrt(99)*-2)). -9*sqrt(11) + 1584 Simplify -3*(sqrt(3) + sqrt(147))**2 + (sqrt(192)*1)**2. -384 Simplify 2*sqrt(3) + 0 + sqrt(588). 16*sqrt(3) Simplify (5*(sqrt(960) + sqrt(60)))/sqrt(12). 25*sqrt(5) Simplify -5*(sqrt(19) + 2*sqrt(38)/sqrt(2)). -15*sqrt(19) Simplify (sqrt(85)/sqrt(20) + 1 + sqrt(1377))**2. 19*sqrt(17) + 6141/4 Simplify (sqrt(57)/(sqrt(12)/sqrt(4)) + sqrt(38)/(sqrt(8)/sqrt(4)))**2. 76 Simplify (-5*-6*-1*sqrt(5) + -4)**2. 240*sqrt(5) + 4516 Simplify ((sqrt(336)/sqrt(7))/sqrt(2) - sqrt(24))/sqrt(12). 0 Simplify (sqrt(143) + -6*sqrt(143)*1)/(1*sqrt(11)*-3). 5*sqrt(13)/3 Simplify 3 + sqrt(68) + -1. 2 + 2*sqrt(17) Simplify sqrt(190)/((-2*sqrt(10) - sqrt(10)) + sqrt(10)) + (-2 + sqrt(171) - sqrt(19))**2. -17*sqrt(19)/2 + 80 Simplify -5 + ((sqrt(100)*-1)/sqrt(5)*-4)**2. 315 Simplify -3*sqrt(17)*1 - (sqrt(102)/sqrt(96))**2. -3*sqrt(17) - 17/16 Simplify 4 + (sqrt(8)*4)/sqrt(4). 4 + 4*sqrt(2) Simplify sqrt(136)/((sqrt(64) - -2*sqrt(64))/sqrt(8)). sqrt(17)/3 Simplify -3 + 5*(sqrt(1377) + -1 + sqrt(1377)). -8 + 90*sqrt(17) Simplify -3*((-1 + 1*sqrt(1584))**2 + 1). -4758 + 72*sqrt(11) Simplify ((3*sqrt(150))/sqrt(6))/(sqrt(180) - sqrt(180)*3 - sqrt(180)). -sqrt(5)/6 Simplify ((1 + sqrt(2) + 3)*2)**2. 32*sqrt(2) + 72 Simplify (sqrt(297)*-1)/((sqrt(88)*-1)/sqrt(8)). 3*sqrt(3) Simplify 1*(sqrt(40)/sqrt(4))/sqrt(5)*3. 3*sqrt(2) Simplify (((sqrt(3) - (-1*sqrt(3) - sqrt(3))) + 4 + 0)*-5*4)**2. 9600*sqrt(3) + 17200 Simplify s
{ "pile_set_name": "DM Mathematics" }
4. Let g = r + 56. Which is smaller: 9 or g? 9 Let u be (4/(-6))/(34/306) - -5. Is u > -5/76? False Let r be 11/(3/2 + 99/(-22)). Is -5 smaller than r? True Let i = 0.02 - 0.42. Let x = i - -0.8. Let l = 1070.2 + -1070. Which is smaller: x or l? l Let o = -50 - -50. Suppose -5*b + 1 - 11 = o. Which is smaller: b or -6? -6 Let g = -137 - -213. Suppose -1181 = -13*v - g. Which is smaller: v or -1? -1 Let f = 5 + -4.98. Let u = 1.58 + f. Let o = 0.4 + u. Which is bigger: o or -0.2? o Let c be 27/(3 - 12)*(-1)/(-5). Which is smaller: c or -9? -9 Let m = 9132/11 - 42932/55. Let y = m + -49. Which is greater: y or 1? 1 Suppose 0 = -j + 2*f + 7, 5*f + 10 = -5. Is j smaller than 1/3476? False Let w be (20/(-30))/((-10)/107025*5). Which is smaller: 1428 or w? w Let i(y) = -5*y + 95. Let s be i(26). Let l be 6 - 3 - 19*2. Are l and s equal? True Let z = 169.44 - 169. Which is smaller: -1 or z? -1 Let q = -762 - -702. Is q at most as big as -27? True Let x = 129 - 129.1. Is 36 > x? True Let k(j) = j**3 - 5*j**2 - 4*j. Let f be k(5). Let l(s) = 13*s + 12. Let z be l(-7). Let c = z + 58. Is f at most c? False Let w = 890 + -620. Let y be ((-4)/w)/(1/3). Does y = 0? False Let s = 0.395 - -0.605. Which is greater: s or 27? 27 Let m be ((-30)/(-8))/((-24)/(-128)). Suppose u - 4*n + 8 = -u, -5*u = n + m. Let q be (-16)/9 - u/(-18). Which is smaller: -3 or q? -3 Let r(u) = u**2 + 5*u + 4. Suppose 0*y = -5*x + y - 15, -2*x = 4*y + 28. Let d be r(x). Let t be 10/36*(-9)/(-30). Which is smaller: t or d? d Let b = 69 + -57. Let c be 2/(12/36 + (-1)/b). Let s = -4 + 14. Do s and c have different values? True Suppose -y - 2*y = 3*j + 45, -3*j - y = 35. Let p be -1 + -2*(-35)/j. Is 2/3 at most as big as p? False Let g = 7655 + -6330683/827. Which is smaller: g or 1? g Let k = 2/1827 + -9920/1827. Is -4 > k? True Let h(u) = -5 + 5 + u**2 + 3*u**3. Let y be h(1). Let q be -5*(y/(-4) + -1). Is 10 greater than q? False Suppose 0 = 2*j + 4*m - 8*m + 6, 3*j - 5 = -m. Suppose -2*q = -4*z + 8, -z - j = 3*q + 11. Which is smaller: z or 2/25? z Let k = -31.2 - -31. Is k less than 0.5? True Let r = -0.4707 - 0.0293. Which is greater: r or -58? r Suppose 44 - 54 = -5*w. Suppose -x + 4*o = -2, w*x = 6*x - 4*o - 56. Is x <= 18? True Let c(f) = -f**2 + f + 3. Let x be c(-5). Suppose 4*h + 4*n = -132, -5 = 5*n - 4*n. Let u = x - h. Do u and -2/43 have the same value? False Let y = 5.071 + 0.929. Let o = -7.91 + -0.09. Let s = y + o. Which is smaller: -0.01 or s? s Suppose -2*t - 15 = t. Let y be 0/(-72) - (2 - (0 - 5)). Which is bigger: y or t? t Let o = -95 + 61. Let u = o - -28. Which is bigger: u or -1? -1 Let v = 19 + -77. Let u = v + 53. Suppose 0 = -3*f, f + f = -2*t - 8. Is u at most t? True Let g = 0.19 - 0.141. Let k = -0.051 - g. Do -1 and k have different values? True Let c(p) = -p**3 + 16*p**2 - 3*p + 3. Let h be c(15). Are 182 and h non-equal? True Let n(b) = -b**3 - 7*b**2 + 8*b + 82. Let z be n(-6). Let v(l) = -l + 1. Let q be v(1). Let y be (7 + -3)*(-1 - q). Is z != y? True Suppose 2*z + 4 + 3 = -n, 0 = 5*z - n. Which is bigger: z or -56/73? -56/73 Suppose -4*z + z - 159 = 0. Let w = z - -55. Is w greater than 3? False Suppose -3*b = 4*b + 14. Let o be (2 - b) + (-64)/6. Let v(s) = -2*s**2 + 3*s + 2. Let t be v(3). Which is bigger: t or o? o Suppose -30 = 3*r + 3*d, -5*r = d - 0*d + 46. Let z = r + 6. Let t be (z - -4) + -2 + 3. Which is smaller: t or 1? 1 Let p(q) = -q**3 - 40*q**2. Let i be p(-40). Is -7/79 bigger than i? False Let n(v) = -v**2 - 4*v + 2. Let d be n(-4). Let o = 294 + -1374. Let h = o + 7578/7. Which is smaller: h or d? d Suppose -14*c + 1002 = 13028. Are -858 and c non-equal? True Let m = -3.7 - -0.7. Let y = -3.4 + 3.49. Let j = -0.19 + y. Which is bigger: m or j? j Suppose 3*d - 25 = -2*h, h - 4*d = -0*h + 7. Let s = h - 10. Let i = 3 + s. Which is smaller: 2 or i? 2 Let q = 1.09 + -0.59. Let b = 0.03 + 6.97. Which is greater: q or b? b Let j(t) = 6*t - 2*t - 3*t + 12. Let g be j(-8). Suppose -f + 2*f = 5*u + 7, -4*f + 4 = g*u. Which is bigger: f or 5/6? f Let w = 2210/47 - 47. Are w and 0.02 unequal? True Suppose 3737 = -6*t - 1195. Is -822 at least as big as t? True Suppose 5*w - 4*t + 2 = -3, 0 = 5*t. Is w less than -2/133? True Let z = -50/201 + 960/4757. Which is greater: z or -1? z Let m(b) = -b - 18. Let p be m(-33). Are 17 and p unequal? True Let f(b) = -7*b**3 - 3*b**2 - b - 16. Let j(x) = 6*x**3 + 4*x**2 + x + 15. Let k(g) = 5*f(g) + 6*j(g). Let l be k(-9). Which is smaller: l or 1/84? 1/84 Suppose 7 = -s - 1. Let z = s - -19. Suppose 5*y + 0*q + 7 = -3*q, 5*q = 3*y + z. Is 0.4 not equal to y? True Let m = -29 - -9. Let a(y) = -y**3 - 39*y**2 - 108*y - 22. Let o be a(-36). Which is bigger: m or o? m Let s = 0.2 + -8.2. Let i = 0.54 + 7.26. Let u = i + s. Which is smaller: 0.1 or u? u Let w = 267.9226 - 268. Let j = w + 18.1874. Let q = j - 18. Is q less than -1? False Suppose 32*p + 9719 - 39767 = 0. Which is greater: p or 938? p Let q = -0.0026 + -0.1974. Which is smaller: -20/9 or q? -20/9 Let u(j) = 3*j**2 + 3*j. Let o be u(-4). Let w be ((-1)/2 - 0)*-4. Let n be (w/4)/(o/(-45)). Is n at least as big as -2? True Let t = 1.45 - 1.35. Are t and 2/117 unequal? True Let p = 4066 - 19687/5. Let v = 956454883/155 + -6170548. Let i = p - v. Which is smaller: i or 1? i Let w(t) = 11*t**2 - 2*t - 1. Let l be w(1). Let f = 5 - -1. Which is bigger: f or l? l Let q be (-6)/(-15) + 516/10. Let n be (-6)/14 + q/7. Let z = n + -15/2. Is z at most as big as -2? False Let v = 1152 + -1879. Which is smaller: v or -728? -728 Let b be (-2)/8 + (-61)/(-4). Let u be (-2 - (-114 + 3))/1. Suppose -67 = -11*k + u. Is b at least as big as k? False Let m = -96 + 185. Let d = 127 - 38. Is d at most m? True Let w(l) = l**3 - 5*l**2 + 2*l + 10. Let d be w(4). Suppose -3*h + d = -0*h + k, -h + 2 = k. Is 6/37 at most h? False Let i(y) = y**2 - 15*y - 14. Let u be i(14). Let g = -27 - u. Which is bigger: g or 3/16? g Suppose 25*t = 3*t + 6*t. Let h = -13/118 - -1523/11682. Are h and t nonequal? True Let m = 341/1998 - 5/222. Let b = -22/27 + m. Is -16 less than b? True Let a(p) = p**2 - 18*p - 36. Let t be a(18). Let i be 8/t - (-308)/(-72). Suppose -j = 3*j + 20. Is i greater than j? True Let h(f) = 12*f - 48. Let g be h(5). Suppose -13*a - g = -7*a. Is -3 > a? False Let s be 2 - 10 - (2 + -8). Is s greater than -2? False Let j = -1.6 + 1. Suppose -6*x = -x + 35. Let i(d) = d**3 + 8*d**2 + 8*d + 5. Let w be i(x). Which is smaller: w or j? w Let x = -1 - -3. Let d(n) = n**2 + 2*n**2 + n**3 + x*n + 0*n**2. Let z be d(-2). Are z and 0 equal? True Let h be (-1)/((-3)/(-552)) + 17 + -20. Are -188 and h unequal? True Suppose 25 = 5*a + 110. Let m = 17 + -26. Let z = a - m. Which is smaller: z or -7? z Let q = 34/11 - 4. Is -2 >= q? False Suppose -4*g - 2*s - 20 + 56 = 0, -5*s = -3*g + 53. Suppose u - 11 = -g. Is -2/9 at most u? True Let p = 4.6 + -3.6. Let x = 0 - -0.9. Which is greater: p or x? p Suppose 5 - 23 = 9*s. Is 1 at least as big as s? True Let c = 0 + 2. Let a = 338 + -344. Is a smaller than c? True Let z be 30/(-116)*600/125. Is z equal to -2? False Let f = 232.9 + -233. Is 6 > f? True Let b be (2/(-102) - 0)*-3. Suppose 171*y = 176*y - 5. Is y >= b? True Suppose 24*s - 22*s - 228 = 0. Are s and 114 nonequal? False Let q(c) = 9*c**2 + c + 193*c**3 + 0*c**2 + 35 + 0*c - 192*c**3. Let f be q(-9). Is 26 > f? False Let s = 0.5 + -0.6. Let t = s + 0.3. Let w = -5 + 0. Is t greater than w? True Let m be 2/(-6) + 1/(-9). Let s(i) = -i**3 - 9*i**2 + i + 11. Let w be s(-9). Let n be (3 - 5/w)*0. Which is smaller: n or m? m Let z(q) = 3*q**2 - 6*q**2 + 4*q**2 - 10*q - 2*q**2. Let y be z(-7). Let b = y - 12. Is b < 9? False Suppose -5*x = 4*x + 10*x. Which is bigger: x or -1/1035? x Let x be 3 + -2 + -1 - (-2)/(-14). Let d be 2/(-6) + (-2968)/60. Let c = d - -50. Is c less than x? False Let r(t) = -4*t + 1. Let c be r(1). Let m be (0/(-4 - c))/(-1). Suppose m = d - g - 9 - 0, -3 = -g. Which is smaller: 13 or d? d Let f(t) = t**3 - 5*t**2 - 9*t + 6. Let n be f(6). Let y be 99/10 + (-6)/n. Let z = y + -181/15. Are z and -3 non-equal? True Let m(o) be the first derivative of o**3/3 + o**2 - 44*o + 46. Let y be m(-7). Which is smaller: -26/3 or y? y Let j = -0.4 - -2.
{ "pile_set_name": "DM Mathematics" }
ors of 151945. 5, 30389 What are the prime factors of 987207? 3, 13, 17, 1489 List the prime factors of 760918. 2, 380459 What are the prime factors of 2672806? 2, 19, 37, 1901 What are the prime factors of 13590833? 19, 197, 3631 List the prime factors of 1983520. 2, 5, 7, 11, 23 List the prime factors of 580028. 2, 145007 List the prime factors of 5338255. 5, 13, 17, 4831 What are the prime factors of 12567317? 7, 1795331 What are the prime factors of 783451? 797, 983 List the prime factors of 2523700. 2, 5, 25237 List the prime factors of 9335785. 5, 1867157 What are the prime factors of 8224686? 2, 3, 223, 683 List the prime factors of 1047822. 2, 3, 174637 List the prime factors of 155127. 3, 7, 83, 89 List the prime factors of 3268758. 2, 3, 544793 What are the prime factors of 75187? 7, 23, 467 List the prime factors of 516968. 2, 64621 List the prime factors of 10853. 10853 What are the prime factors of 3333879? 3, 79, 521 What are the prime factors of 1522075? 5, 107, 569 List the prime factors of 6723578. 2, 619, 5431 List the prime factors of 641108. 2, 13, 12329 What are the prime factors of 287780? 2, 5, 14389 List the prime factors of 1972731. 3, 17, 47, 823 What are the prime factors of 96872? 2, 12109 What are the prime factors of 3559553? 73, 48761 What are the prime factors of 482528? 2, 17, 887 List the prime factors of 1432008. 2, 3, 19889 List the prime factors of 592431. 3, 7, 28211 What are the prime factors of 433483? 17, 43, 593 What are the prime factors of 4624724? 2, 13, 88937 What are the prime factors of 3901577? 367, 10631 List the prime factors of 326054. 2, 163027 List the prime factors of 1528689. 3, 509563 What are the prime factors of 4390070? 2, 5, 439007 List the prime factors of 1717296. 2, 3, 7, 19, 269 What are the prime factors of 2438271? 3, 11, 2239 What are the prime factors of 8407196? 2, 7, 19, 15803 What are the prime factors of 943843? 943843 What are the prime factors of 8057996? 2, 2014499 What are the prime factors of 38203036? 2, 31, 53, 5813 What are the prime factors of 10251802? 2, 11, 43, 10837 What are the prime factors of 1614775? 5, 64591 List the prime factors of 1300547. 1033, 1259 What are the prime factors of 4432056? 2, 3, 184669 List the prime factors of 458204. 2, 19, 6029 List the prime factors of 1574432. 2, 49201 What are the prime factors of 904058? 2, 19, 37, 643 What are the prime factors of 96959? 96959 List the prime factors of 2443549. 79, 30931 List the prime factors of 889842. 2, 3, 43, 3449 What are the prime factors of 4559815? 5, 13, 29, 41, 59 List the prime factors of 178237. 137, 1301 What are the prime factors of 18247743? 3, 947, 2141 List the prime factors of 326228. 2, 7, 61, 191 What are the prime factors of 1655524? 2, 13, 31, 79 List the prime factors of 241770. 2, 3, 5, 8059 List the prime factors of 283156. 2, 29, 2441 List the prime factors of 305927. 305927 What are the prime factors of 7339447? 7339447 List the prime factors of 374989. 374989 What are the prime factors of 1118498? 2, 17, 67, 491 What are the prime factors of 4166189? 149, 27961 List the prime factors of 2191128. 2, 3, 91297 What are the prime factors of 1968757? 7, 281251 List the prime factors of 400304. 2, 127, 197 List the prime factors of 14450693. 23, 59, 463 List the prime factors of 9522191. 7, 1360313 What are the prime factors of 3084588? 2, 3, 13 List the prime factors of 126332. 2, 31583 What are the prime factors of 763452? 2, 3, 7069 List the prime factors of 1711829. 7, 244547 List the prime factors of 3172035. 3, 5, 211469 List the prime factors of 2455220. 2, 5, 122761 List the prime factors of 13704459. 3, 103, 44351 What are the prime factors of 403378? 2, 139, 1451 What are the prime factors of 384951? 3, 7, 23, 797 List the prime factors of 140758. 2, 70379 List the prime factors of 428164. 2, 11, 37, 263 What are the prime factors of 498554? 2, 7, 149, 239 What are the prime factors of 71823? 3, 89, 269 What are the prime factors of 5896982? 2, 7, 13, 32401 What are the prime factors of 2490915? 3, 5, 7, 3389 What are the prime factors of 675926? 2, 41, 8243 What are the prime factors of 2668862? 2, 7, 190633 What are the prime factors of 253660? 2, 5, 11, 1153 List the prime factors of 2904822. 2, 3, 43, 139 What are the prime factors of 839249? 19, 44171 List the prime factors of 285249. 3, 95083 What are the prime factors of 3447738? 2, 3, 7, 1303 What are the prime factors of 7808030? 2, 5, 780803 List the prime factors of 1004964. 2, 3, 83, 1009 List the prime factors of 7824381. 3, 2608127 List the prime factors of 18690733. 18690733 List the prime factors of 22675. 5, 907 What are the prime factors of 864453? 3, 107, 2693 What are the prime factors of 1984725? 3, 5, 8821 What are the prime factors of 5008515? 3, 5, 31, 10771 List the prime factors of 1022553. 3, 7, 16231 What are the prime factors of 75358? 2, 41, 919 What are the prime factors of 4442757? 3, 11, 12239 List the prime factors of 390898. 2, 17, 11497 List the prime factors of 2601987. 3, 149, 5821 What are the prime factors of 5782758? 2, 3, 963793 What are the prime factors of 11771915? 5, 307, 7669 What are the prime factors of 219626? 2, 11, 67, 149 What are the prime factors of 608516? 2, 149, 1021 What are the prime factors of 540475? 5, 13, 1663 List the prime factors of 2613085. 5, 503, 1039 List the prime factors of 9742347. 3, 29, 163, 229 What are the prime factors of 203890? 2, 5, 20389 What are the prime factors of 75335? 5, 13, 19, 61 What are the prime factors of 2441563? 2441563 What are the prime factors of 9382691? 17, 547, 1009 What are the prime factors of 7307074? 2, 1409, 2593 What are the prime factors of 198761? 198761 List the prime factors of 908055. 3, 5, 17, 1187 List the prime factors of 12445307. 7, 971, 1831 What are the prime factors of 55278? 2, 3, 37, 83 What are the prime factors of 26136762? 2, 3, 41, 181, 587 What are the prime factors of 64444? 2, 16111 What are the prime factors of 1803763? 13, 89, 1559 What are the prime factors of 6538119? 3, 7, 79, 563 List the prime factors of 22248722. 2, 11124361 What are the prime factors of 21939523? 101, 217223 What are the prime factors of 6334748? 2, 7, 226241 List the prime factors of 10892758. 2, 5446379 What are the prime factors of 1574379? 3, 174931 What are the prime factors of 873698? 2, 7, 17, 3671 List the prime factors of 336476. 2, 7, 61, 197 What are the prime factors of 8743324? 2, 457, 4783 List the prime factors of 730631. 11, 127, 523 List the prime factors of 603322. 2, 31, 37, 263 List the prime factors of 1028436. 2, 3, 85703 What are the prime factors of 4889401? 11, 43, 10337 What are the prime factors of 3885984? 2, 3, 103, 131 What are the prime factors of 1114910? 2, 5, 111491 What are the prime factors of 86344? 2, 43, 251 What are the prime factors of 14593952? 2, 456061 What are the prime factors of 253638? 2, 3, 7, 11, 61 What are the prime factors of 1583070? 2, 3, 5, 52769 List the prime factors of 546096. 2, 3, 31, 367 List the prime factors of 210262. 2, 13, 8087 List the prime factors of 120272. 2, 7517 What are the prime factors of 5690824? 2, 711353 List the prime factors of 8025313. 53, 2857 What are the prime factors of 1199219? 7, 171317 What are the prime factors of 16566110? 2, 5, 11, 13691 What are the prime factors of 2026295? 5, 181, 2239 What are the prime factors of 1405239? 3, 11, 97, 439 What are the prime factors of 36823? 23, 1601 List the prime factors of 5268338. 2, 401, 6569 List the prime factors of 24866192. 2, 13, 119549 List the prime factors of 3784689. 3, 420521 What are the prime factors of 160200? 2, 3, 5, 89 List the prime factors of 5283305. 5, 53, 19937 What are the prime factors of 18500350? 2, 5, 11, 33637 What are the prime factors of 1865812? 2, 13, 53, 677 List the prime factors of 1762723. 1009, 1747 What are the prime factors of 1778433? 3, 47, 12613 List the prime factors of 6441235. 5, 1288247 What are the prime factors of 1459784? 2, 182473 List the prime factors of 2190368. 2, 68449 What are the prime factors of 6937791? 3, 7, 101, 3271 List the prime factors of 2470770. 2, 3, 5, 9151 List the prime factors of 507915. 3, 5, 11287 L
{ "pile_set_name": "DM Mathematics" }
he nearest one hundred thousand? 500000 Let g = -60 + 59.929. Let t = -99.972 + 100. Let w = t + g. Round w to two decimal places. -0.04 Let j(h) = 37481*h - 139. Let g be j(19). What is g rounded to the nearest 10000? 710000 Let d = 120010701909 + -120010710612.87489937. Let b = d - -8704.7449. Let k = b - 0.87. Round k to 7 decimal places. 0.0000006 Let c be 18/(-45) + 19835/25. Round c to the nearest 100. 800 Let g = -4230 - -4444.7. Round g to the nearest 100. 200 Let s = -29.65 - 0.35. Let y = s + 31.76. Round y to 1 dp. 1.8 Suppose s = -0*s + 5*j - 5444, 2*s + 10895 = 3*j. Suppose 10 = 2*g, 5*d - 5*g - 2828 + 18598 = 0. Let t = d - s. What is t rounded to the nearest 1000? 2000 Let s = 6.435 + -5.4. Let n = s - -0.025. What is n rounded to 1 dp? 1.1 Let h = -42.08 - 0.92. Let s = h - -43.0001. Round s to four dps. 0.0001 Let d(x) = 12250*x**2 - 8*x - 34. Let f be d(27). What is f rounded to the nearest 100000? 8900000 Let y = 251 - 452. Let o = -204.54 - y. Let m = 3 + o. Round m to 1 decimal place. -0.5 Let v = 24551.83688328533 + 0.58280645467. Let f = -24579.41969 + v. Let t = f - -27. Round t to 7 decimal places. -0.0000003 Let d = -233 - -23. Let t = d + 209.9999719. What is t rounded to 6 decimal places? -0.000028 Let d = 112 - 112.00000872. What is d rounded to six dps? -0.000009 Let t = -0.146 + 0.019. Let f = 0.127114 + t. What is f rounded to 5 dps? 0.00011 Let j = 920681 - 3217681. Round j to the nearest one hundred thousand. -2300000 Let q = 0.08 + 6.52. Let g = q - 5. Let y = g - 1.59905. What is y rounded to four dps? 0.001 Let v = 398 - 397.99999. Round v to 6 decimal places. 0.00001 Let f = -20.1 - -2.1. Let d = f - -18.68. Round d to one decimal place. 0.7 Let o = -10390 + 10390.0000009534. Round o to 7 dps. 0.000001 Let k = 621556.09546 + -621209.1. Let h = 347 - k. What is h rounded to 3 dps? 0.005 Let d = 0.24 + -0.34. Let h = d + 0.099992. Round h to five dps. -0.00001 Let t = 631 - 425. What is t rounded to the nearest 10? 210 Suppose -5*f + 2*u + 317994 = -6*f, -5*u - 317985 = f. What is f rounded to the nearest 100000? -300000 Let b(l) = l**3 - 13*l**2 + 7*l + 36. Let q be b(14). What is q rounded to the nearest one thousand? 0 Suppose -4*v = 4*z - 7 - 45, z + 2*v = 17. Suppose 3*g = z, -5*g = -2*w - g + 239988. Round w to the nearest one hundred thousand. 100000 Let v = -1.316 + 1.3160000251. What is v rounded to seven dps? 0 Let q = 785 - 520. Let g = q - 408. Round g to the nearest 10. -140 Let l = -8.595 - 0.005. Let t = l + 10. Let y = -1.399994 + t. Round y to five decimal places. 0.00001 Let u = -627.000000533 + 627. Round u to seven decimal places. -0.0000005 Suppose 21*l = -244437243 + 95547243. What is l rounded to the nearest 1000000? -7000000 Suppose 344997 = -2*l - 3*l - o, o = 4*l + 276003. Round l to the nearest ten thousand. -70000 Let l be 25/9 - 8/(-36). Let j be -8*(0 + l)/(-12). Suppose -b - 29 = j*c + 63, 0 = 3*c - 3*b + 138. Round c to the nearest ten. -50 Let i = -1.3 + 0.34. Let v = 0.95999488 + i. Round v to six decimal places. -0.000005 Suppose 2*k = -3*k - y - 34, 0 = -2*k + y - 8. Let m be 119999 + (-1 + 1 - (5 + k)). What is m rounded to the nearest 10000? 120000 Let k = -1524.999999267 + 1525. What is k rounded to 7 decimal places? 0.0000007 Let q be (101/(-2))/((-14)/2826460). Suppose -31595445 = 2*j - q. What is j rounded to the nearest one million? -11000000 Let u be (-20)/15*3 + 2624. Round u to the nearest one hundred. 2600 Let b = -0.371 + 0.32. Let n = -0.439 + b. Let o = n - 2.41. What is o rounded to the nearest integer? -3 Let h = -475.00000137 + 475. Round h to seven decimal places. -0.0000014 Let p be (-6 + 3)*6/(-9). Suppose 3*q + 4400 = p*q. Round q to the nearest one thousand. -4000 Let j = 1.25 + 0. Let u = j + -3. Let y = u - -1.75000097. Round y to seven dps. 0.000001 Let s = 0.061 - -2.839. Let f = 3.01 - s. What is f rounded to two dps? 0.11 Let d = 218281 - 217877.092. Let p = -375 + d. Let j = p - 29. What is j rounded to 2 dps? -0.09 Let m = 6012 - 6012.00004807. Round m to six decimal places. -0.000048 Let d = 69.41 - 69. Let x = -0.410115 + d. What is x rounded to 5 decimal places? -0.00012 Let y = 257 - 258.03. Let h = 4.07 + y. Round h to one dp. 3 Let i = -23.600000177 - -23.6. What is i rounded to 7 decimal places? -0.0000002 Let t = -3612 + 3611.94006. Round t to 2 dps. -0.06 Let v(m) = 7*m**2 + 5*m + 8. Let z be v(6). Round z to the nearest one hundred. 300 Let b = 50.3 + -51. Let g = b + 0.699981. What is g rounded to five dps? -0.00002 Let c = 1.219999698 - 1.22. What is c rounded to 7 decimal places? -0.0000003 Let w(n) = n**2 + 5*n - 8*n**2 - 2 + 4*n**2 + 2*n**2. Let r be w(5). Let l be (4/4)/(r/46). What is l rounded to the nearest ten? -20 Let m = -3336.119 + 1.119. Let y = 3381.076 + m. Let s = y + -46. What is s rounded to 2 dps? 0.08 Let a = -17099.007457 + 17099. What is a rounded to three decimal places? -0.007 Let d = 112.1 + -129. Let v = 17.77 + d. Round v to 1 decimal place. 0.9 Suppose 0 - 3 = -r. Suppose -r*u - 5*d + 110938585 = 20938590, -4*d = 4. What is u rounded to the nearest 1000000? 30000000 Let c = -28 + 27.7. Let f = 0.30003 + c. What is f rounded to 5 dps? 0.00003 Let a = 238 - 238.000203. What is a rounded to four dps? -0.0002 Suppose 8 + 17 = 5*a. Let i be (a + (-75)/10)*17640. What is i rounded to the nearest 10000? -40000 Let o be 19/3 + 6/(-18). Suppose -o*m + 10300 = -m. Suppose -2*y - 4136 = 2*u, y = -u - 4*u - m. Round y to the nearest 100. -2100 Let b = -493 - -160. Let s = 211 + b. Let j = 121.999842 + s. What is j rounded to five dps? -0.00016 Let c = 296 + -96. What is c rounded to the nearest one thousand? 0 Suppose 2*u + 3*b - 30167 = 0, -3*b + 455 = 3*u - 44800. Let o = u + 2212. What is o rounded to the nearest one thousand? 17000 Let w be (3 - (-6)/(-2))/(-2). Suppose 87288 = 3*i + 3*b, 5*i + 2*b - 66719 = 78773. Suppose w*q = 3*q + i. What is q rounded to the nearest one thousand? -10000 Suppose 0 = -5*m + 3*x - 6825006, -2*x = -3*m - 4*x - 4094996. What is m rounded to the nearest 100000? -1400000 Let a = -0.8989036 + 0.0787746. Let y = a - -0.82. Round y to five dps. -0.00013 Suppose 12 = 2*c + 3*t, 3*c + t = 4 - 0. Let y(k) = 2*k - 4*k + 254767 - 1312517 - 16442250. Let m be y(c). Round m to the nearest 1000000. -18000000 Suppose -2*r = -12 + 16. Let n be 1*(-17 + -1 + r). Let v be (-1 - -125601)/((-8)/n). What is v rounded to the nearest ten thousand? 310000 Let h = -4.59 + 4.4. Let k = h + 0.18. Let v = -0.0099846 - k. Round v to 6 decimal places. 0.000015 Let z = 148.00000264 - 148. What is z rounded to six decimal places? 0.000003 Let y(k) = -k**3 + k**2 - k - 9. Let b be y(0). Let j = 4216 - -22034. Let n be (-1)/(b/j)*48. Round n to the nearest 100000. 100000 Let g = -125.01 - 1.99. Let j = g - -111.3. Let a = -15.70071 - j. What is a rounded to four decimal places? -0.0007 Let o = 46.13632 + 9.86678. Let v = 56.05 - 0.05. Let a = o - v. Round a to 3 decimal places. 0.003 Let n(q) = 3*q**2 + 5*q + 7. Let h be n(-3). Suppose 0 = 5*l - h - 16. Let t(b) = 37*b**3 - b**2 - 6*b. Let x be t(l). Round x to the nearest 1000. 13000 Let i = 1066.63 + -1061. Let x = 1.07 + i. Round x to the nearest integer. 7 Let a(z) = -5*z - 23. Let v be a(-5). Let n = 37 - 19. Let w be (-135)/v*(-96)/n. What is w rounded to the nearest 100? 400 Suppose -56*s + 38*s = -812700000. Round s to the nearest one million. 45000000 Let v = -42124.971037 - -42125. Let f = -0.029 + v. What is f rounded to 5 decimal places? -0.00004 Let c be 2/6 + ((-48389992)/3 - 3). What is c rounded to the nearest one million? -16000000 Let x(v) = -12489986*v + 42. Let m be x(-3). Round m to the nearest one million. 37000000 Let v = 0.033 - -0.043. Let a = v - 0.075918. Round a to five dps. 0.00008 Let a(g) = -937*g**3 + 12*g**2 + 13*g - 130. Let n be a(10). Round n to the nearest 100000. -900000 Suppose 6*p = -4*z + 2*p + 280, -3*z = 4*p - 213. Round z to the nearest one hundred. 100 Let g = 61 + -42. Let c = 25 - g. Let y be (-385000)/c*156/65. What is y rounded to the nearest 10000? -150000 Let r = -67.96 - -46. Let b = 22 + r. Let y = -1.36 - b. What is y rounded to the nearest integer? -1 Suppose 2*h = -3*c - h - 138006, -4*c + h = 183998. W
{ "pile_set_name": "DM Mathematics" }
ate the remainder when (-4)/((-3)/(-159)*-2) is divided by l. 16 Let d = 33 + 4. Calculate the remainder when 5 is divided by (-2)/18 + d/9. 1 Suppose x = 3*x - 48. Suppose 5*c + 11 = 5*q - x, 5*c + 24 = 4*q. Suppose u = -u + 40. What is the remainder when u is divided by q? 9 Let n(b) be the first derivative of -b**3/3 + b**2/2 + 13*b - 7. Suppose r + 0*r - 24 = 0. Calculate the remainder when r is divided by n(0). 11 Let h = 1 + 1. Let c(f) be the first derivative of f**4/4 - 14*f**3/3 + 15*f**2/2 - 19*f + 2. What is the remainder when c(13) is divided by h? 1 Suppose -6 + 0 = -3*m. Let n(t) = 19*t - 9. Calculate the remainder when n(m) is divided by 3*1*(-8)/(-3). 5 Suppose 4*n + 5*v = 6*v + 806, -5*v = -2*n + 394. What is the remainder when n is divided by 17? 15 Suppose 4*n - 59*n + 820 = 27*n. Let l(i) = -16 - 9*i + 6 + 0*i**2 - i**2. Calculate the remainder when n is divided by l(-7). 2 Let a(p) = -24*p**3 + 3*p**2 + p - 1. What is the remainder when 96 is divided by a(-1)? 21 Let v(q) = -q**2 - q + 7. Let l = -4607 + 4634. What is the remainder when l is divided by v(0)? 6 Let g(p) = 5 + 0 + 7 + p**2. Let f be 3/((-18)/(-4)) - 60/90. Calculate the remainder when 21 is divided by g(f). 9 Let a(y) = y + 15. Let o = -163 - -368. Let d = o + -147. Calculate the remainder when d is divided by a(0). 13 Let l = 25 - 17. Let q = 9 - l. Let p(m) = 4*m + 2. Calculate the remainder when 9 is divided by p(q). 3 Calculate the remainder when 5/(15/(-21)) + 197 + 4 is divided by 61. 11 Calculate the remainder when 338 is divided by (-12)/(-8) + 5/(-20)*-70. 15 Let k(b) = b**2 - 8*b + 3. Let w be k(7). Let z be (-159)/w + (-3)/(-12). Suppose x + z = 6*x. What is the remainder when 22 is divided by x? 6 Calculate the remainder when 141 is divided by 1827/(-27)*-1 + (-2)/(-6). 5 Let r(p) = 168*p - 1314. Calculate the remainder when r(9) is divided by (-238)/(-6) + 2/6. 38 Let c be (-52)/(-14) + (-2)/(-7). Let s(x) = x**3 + 2*x**2 - 6*x. Let i be s(5). Suppose i = m + c*m. What is the remainder when m is divided by 10? 9 Let a(q) = q**3 + 23*q**2 + 72*q - 47. Calculate the remainder when 433 is divided by a(-19). 27 Suppose -11 = -2*h - 5*r, 3*h - 5*h = -4*r - 38. Calculate the remainder when h is divided by 13. 0 Let u(w) = -w**3 + 2*w**2 + 9*w - 2. Let q be u(4). Suppose 5*a - 39 = q*g, 2*g + 24 = 4*a - 2*g. Calculate the remainder when 32 is divided by a. 5 Let o(k) = -k**3 - k**2 + k + 8. Suppose 206*f - 215*f + 27 = 0. Calculate the remainder when o(0) is divided by f. 2 Let s(o) be the third derivative of -o**4/6 + 41*o**3/6 + 24*o**2 + o. Calculate the remainder when s(8) is divided by 3. 0 Let w = 2 + -5. What is the remainder when 43 is divided by (0 + -12)/(w + 6 + -4)? 7 Suppose 5*t - 4*t = -73. Let v = t - -106. Calculate the remainder when v is divided by 20. 13 Let y be 0/(-2)*(0 + 1). Let r = -174 + 196. What is the remainder when r is divided by -18*((-2)/3 + y)? 10 Let y(h) = h**2 - 110*h + 167. Calculate the remainder when y(0) is divided by 164/6 - 2/(-3). 27 Suppose 5*y - 315 = -95. Calculate the remainder when y is divided by ((-27)/((-9)/(-3)))/(-8 - -7). 8 Suppose -4*c - 6 = 2, 4*t - 4*c + 312 = 0. Let k = -148 - t. What is the remainder when (-1309)/k + (-3)/(-4) is divided by 7? 6 Let o(u) = u**3 + 5*u**2 - 29*u - 23. Calculate the remainder when o(-7) is divided by 12. 10 Let d = 43 + -30. Suppose 0 = 12*k - 706 - 62. What is the remainder when k is divided by d? 12 Suppose -5*z = 5*r - 40, -20 = 5*z - 0*z. What is the remainder when r is divided by (-1)/((-8)/12)*(-4)/(-2)? 0 Let k(y) = y**3 + 11*y**2 - 25*y + 51. Calculate the remainder when k(-12) is divided by 42. 39 Suppose 0 = 4*g - 39*g + 6265. What is the remainder when g is divided by 37? 31 Suppose -29 = -4*d - 5. Suppose -2*t = -8, -6*f = -3*f + 5*t - 26. Suppose -5*l - n = -5, 5*l + 4*n - f*n = 0. Calculate the remainder when d is divided by l. 0 Let s = 2167 - 648. What is the remainder when s is divided by 13? 11 Let q = 23 + 16. Suppose 18 = -c + 2. Let g = c - -26. What is the remainder when q is divided by g? 9 Let r = 18 - -20. What is the remainder when 143 is divided by r? 29 Let j(o) = 2*o**2 + 7*o - 4. Let z be j(-4). Suppose -10*c + 11*c - 2 = z. What is the remainder when 2 is divided by c? 0 Suppose -7*m = -2*m + 5. Let x be 1*15/1*m. What is the remainder when 55 is divided by 18/x*(-140)/12? 13 Suppose 3*d + 134 = d. Let c(u) = -u**3 + u**2 - 4*u - 129. Let x be c(0). Let h = d - x. Calculate the remainder when h is divided by 13. 10 Let v be ((-2)/(-6))/((-4)/2364). Let z be (-9)/(-15) + v/(-5). What is the remainder when 0/4 + z + 0 is divided by 21? 19 Suppose -2 = -10*d + 9*d. Suppose a = d*r - 133, -r - a + 69 = -2*a. What is the remainder when r is divided by 13? 12 Suppose -236475 = -71*l - 22481. Calculate the remainder when l is divided by 58. 56 Suppose 0 = -6*u + u + 305. Suppose -4*d = -3*d + 3*o - 19, -20 = -d - 4*o. Calculate the remainder when u is divided by d. 13 Suppose -4*h + 23 = y - 32, -3*y + 123 = -2*h. Calculate the remainder when 385 is divided by y. 41 Let u(m) = -4*m - 38. Let z(r) = -4*r**2 + 4*r - 3. Let g be z(2). Calculate the remainder when 10 is divided by u(g). 4 Let c(w) = 294*w - 335. What is the remainder when c(5) is divided by 71? 70 Let x = 2 - -16. Let r(l) = 2*l**2 - l - 3. Let m be r(0). What is the remainder when (168/16)/(m/(-20)) is divided by x? 16 Let v(x) = x**3 - x**2 + 2. Suppose -l + 5*p - 4 = 0, -4*l + 26 = p - 0*p. Let t(h) = h - 3. Calculate the remainder when v(2) is divided by t(l). 0 Suppose -5*w = -10 - 20. Let v = w + -5. Let s(d) = 19*d. What is the remainder when s(v) is divided by 5? 4 Suppose k + 48 = 5*k. Let t be 812/(-21)*(-3)/2. Suppose r - 2*r = -t. Calculate the remainder when r is divided by k. 10 Suppose 16*h + 12*h = 308. What is the remainder when 31 is divided by h? 9 Let h = 24 + -7. Let f(q) be the second derivative of -q**4/12 - 2*q**3 + 19*q**2/2 + 6*q. Calculate the remainder when h is divided by f(-13). 5 Let q(c) = c + 7. Let n be q(-7). Suppose 0 = 2*l - 5*d - 62, 5*l - 3*d - 117 = -n*d. Let u = -3861 - -3944. What is the remainder when u is divided by l? 20 Let q = -2 - 0. Let n be (-13 - 2)/(-3) + q. Suppose -3*b = n*y - 36, 3*y - 6*y - b + 30 = 0. Calculate the remainder when y is divided by 3. 0 Let z be (0 - -2)*(-1 + (-3)/(-6)). Calculate the remainder when (z + -20)*-14*(-1)/(-6) is divided by 28. 21 Suppose -4*q - k + 193 = 0, -2*q - 195 = -6*q - 3*k. Let o = q - 29. Suppose -3 + 43 = 4*w. What is the remainder when o is divided by w? 9 Let s(h) = 65*h**2 + 3*h + 4. Calculate the remainder when s(-2) is divided by 29. 26 Calculate the remainder when ((-76)/2)/((-126)/(-33) + -4) is divided by 35. 34 Suppose -5*h - 10 = j, 5*h = 4*j + 4*h - 2. Suppose 43 + 32 = 3*f - 3*g, j = g - 1. Calculate the remainder when f is divided by 9. 8 Suppose 0*q - q = -11. Suppose 2*p = 4*b + 16, -b = -4*p + p + 29. Calculate the remainder when ((-64)/p)/((-1)/5) is divided by q. 10 Suppose -29 = -v - 2*l - 7, 4*v - 88 = -2*l. Let r = -46 + v. Calculate the remainder when (-6)/r - (-163)/4 is divided by 14. 13 Let w = -61 + 84. What is the remainder when w is divided by (-1 - 0)/((-7)/35) + 3? 7 Let f = -1 - -13. Let k(o) = o**2 + 2*o - 135. Calculate the remainder when k(-14) is divided by f. 9 Let k be (-4)/(-5)*(-20)/8. What is the remainder when ((-6)/4)/(k/76) is divided by 15? 12 Let j be ((-3)/6 - -1)*8. Suppose -5*b + 5 = 3*z - 5, -4*b + j*z = -8. Calculate the remainder when 6 is divided by b. 0 Let o(f) = -2*f**3 + f**2 - 3*f - 13. Calculate the remainder when 111 is divided by o(-3). 52 Suppose -3*g - 11 = 5*j + 107, 0 = 4*g + 4. Let k = -26 - j. Calculate the remainder when (2/k)/(6/(-171)) is divided by 5. 4 Let w = -11 + 32. Calculate the remainder when ((-16)/12)/((-2)/123) is divided by w. 19 Let r = -106 - -150. Let s = -26 + r. Calculate the remainder when s is divided by 5. 3 Suppose -4*b = -6 - 2. Suppose q = -b*q + 2*a + 157, 2*q - 2*a = 104. Suppose 2*l + 0*o - 30 = 4*o, 2*o = -l + 7. What is the remainder when q is divided by l? 9 What is the remainder when 3/(-5)*4720/(-48) is divided by 10? 9 Suppose 2*h + 29 = 5*y - 11, -4*y - 4*h + 32 = 0. Let r(s) =
{ "pile_set_name": "DM Mathematics" }
et z = 9 - v. What is the units digit of z? 5 Let a(g) = -g**3 + 2*g**2 + 34*g + 8. What is the units digit of a(-5)? 3 Let a(h) = -2*h - 7. Let k be a(-5). Suppose -k*z = -7 - 8. Suppose -z*i + 173 = 4*g, 2*g + g + i - 138 = 0. What is the units digit of g? 7 Suppose 0 = q, -2*a + 127 + 269 = -3*q. What is the tens digit of a? 9 Suppose t + 3*g + 9 = 0, -3*t + 16 = -4*g + 4. Suppose -3*m + 59 = -0*j - 5*j, 5*m + 2*j - 150 = t. Suppose -203 + m = -5*b. What is the units digit of b? 5 Suppose -4*c = 18*q - 17*q - 1579, -5*c - 3119 = -2*q. What is the hundreds digit of q? 5 Suppose -12*v = -4506 - 7086. What is the tens digit of v? 6 Let c(h) = 9*h + 20 - 22*h + 8*h - 23*h. What is the units digit of c(-4)? 2 Let k(g) = g**3 - 26*g**2 - 83*g - 40. Let u be k(29). Suppose 2*m + 60 = u. What is the units digit of m? 8 Let t = 158 + -156. Suppose -4*r + 371 + 460 = 5*j, t*r - 420 = -4*j. What is the hundreds digit of r? 2 Suppose -5*y + 22 = 2. Let o be -2 + 2 + -4 + y. Suppose o = -v - 0 + 48. What is the tens digit of v? 4 Let i = 2499 - 1080. What is the tens digit of i? 1 Suppose -9*l + 4312 = -2276. Suppose 9*d - 267 - l = 0. What is the hundreds digit of d? 1 Let l = 247 + -92. Let j = l - 31. What is the hundreds digit of j? 1 Suppose 40 = n + 22. What is the tens digit of 98/(-1)*(-9)/n? 4 Let i(v) = 3*v**2 - v. Let y be i(-1). Let g be (y/(-2))/(9/18). Let q = 12 + g. What is the units digit of q? 8 Suppose 0 = -2*v + 45 + 1. Let l = 84 - v. Suppose 4*x - l = 5*a, -2*x - 4*a = -a - 47. What is the units digit of x? 9 Let m(c) = -c**2 + 7*c - 5. Let b be m(6). Suppose -d = -48 - b. What is the units digit of d? 9 Suppose -d + 554 = -5*s, -d + 6*d + 200 = -2*s. What is the hundreds digit of 1/(2/6)*(-27 - s)? 2 Suppose -2*u - 5*u + 168 = 0. Let o = 25 - u. What is the units digit of o? 1 Let p(r) = 127*r**2 + 48*r - 151. What is the hundreds digit of p(3)? 1 Let s be 18*2*4/16. What is the tens digit of 3*-60*(-2)/s? 4 Suppose 70*f - 87204 - 5196 = 0. What is the thousands digit of f? 1 Let q be ((-18)/(-27))/(2/9). Suppose -5*s = j - 145, -q*j + 0*s + 3*s = -453. What is the tens digit of j? 5 Suppose -18*j = -21*j + 15. Suppose -4*f - j*o + 111 = -2*f, 4*f - 3*o - 287 = 0. Suppose 4*s = y - f, 4*y + 5*s - 4*s - 289 = 0. What is the units digit of y? 2 Suppose -4*j = -3*g - 2 - 28, 2*j = 4*g + 20. Suppose -w = -j*w. Suppose -2*t - 5*y = -83, w*y = -3*t + 3*y + 93. What is the units digit of t? 4 Let h be 28/(-20) + (-6)/(-15). What is the tens digit of h/(-6) + (-357)/(-18)? 2 Suppose -243*g + 236*g = -12208. What is the units digit of g? 4 What is the hundreds digit of (-64440)/(-44) - ((-244)/(-44) - 5)? 4 Let l(u) = 12*u - 1. Suppose 4*x - 6 = 14. Suppose 0 = x*i - 5 - 0. What is the tens digit of l(i)? 1 Let r = -5 + -93. Let a = 170 + r. Suppose -a = -6*f + 2*f. What is the units digit of f? 8 Suppose -4*i = -7*i - 48. Let w = i + 50. What is the tens digit of w? 3 What is the hundreds digit of -2*(-3)/6*607? 6 Suppose 5*z - 36 = m, 0 = 30*z - 27*z. Suppose -x + 0*x - 3 = 0. What is the tens digit of 16/x*459/m? 6 Let a = -1 + 6. Suppose a*l = 3*l + 10. Suppose 0 = -l*k + 6*k - 44. What is the units digit of k? 4 Suppose v - 25 = 55. Let g = -39 + v. What is the units digit of g? 1 Let w = 3082 + -2157. What is the units digit of w? 5 Let i(t) = -t**2 + 16*t - 21. Let b be i(13). What is the units digit of 2508/b + 6/9? 0 Let l(b) = -3*b**2 - 4220*b + 2*b**2 + 4216*b + 15*b**3. What is the units digit of l(2)? 8 Let i(z) = 2*z**3 - z**2 - 2*z - 2. Let o(g) = g**2 - 5*g + 3. Let j be o(5). Let a be i(j). Let q = a + -26. What is the tens digit of q? 1 What is the units digit of (548 - (-1 - 7)) + 1? 7 Let d = -577 - -1049. What is the hundreds digit of d? 4 Let a = 104 - 101. Suppose -5*s + 3*d + 907 = 0, -2*s + a*d + 0*d = -370. What is the units digit of s? 9 Suppose -a - 7 = -5*n, n = 5*a + 5 + 6. What is the tens digit of (52/(-8) + -1)*(n + -3)? 1 Let n(z) be the first derivative of 43*z**2/2 + 2*z - 22. What is the units digit of n(1)? 5 Let s(c) be the first derivative of c**4/4 - 5*c**3/3 - 4*c**2 - 11*c + 4. What is the units digit of s(7)? 1 Let s be 8 - 4 - (-1 + 2). Suppose 2*u = 2*o + u - 101, -5*u - 155 = -s*o. What is the units digit of o? 0 Suppose -2*b = -z + 2, z - 1 - 1 = 0. Let l(h) = 2*h**2 + 33. What is the units digit of l(b)? 3 Let q = -2 - -14. Let t = -6 + q. Suppose -3*i - t = -5*i. What is the units digit of i? 3 Suppose -3*o = -2*y + 823 - 155, 2*o - 327 = -y. Suppose 3*z + 16 = y. What is the tens digit of z? 0 Let a(v) = 4*v**2 + 34*v. What is the units digit of a(-13)? 4 Let x be 3*(1 + (-115)/15). What is the tens digit of (-4 - 1)*264/x? 6 Let c(b) = b - 4. Let i be c(6). Suppose 327 = m + i*m. Suppose -3*w = -4*l + m, -3*l + w = -8*l + 160. What is the tens digit of l? 3 Suppose 0 = 3*y + 19 + 8. Let z(f) = f**3 + 12*f**2 + 7*f + 5. What is the hundreds digit of z(y)? 1 Let h(w) be the first derivative of 32*w**3/3 + w**2/2 + 10. What is the tens digit of h(1)? 3 Suppose 0 = -7*l + 12*l. Suppose 0 = 4*b + 5*h - 166, l*b + 3*b = 4*h + 109. What is the tens digit of b? 3 Let z be (-16)/(-30)*-3*10. Let w = z - -12. What is the tens digit of 3 + (12/w - -13)? 1 Let u be ((-10)/3)/(12/(-18)). What is the tens digit of (-7 + u)*(2 + -45)? 8 Let b = -689 + 1783. What is the thousands digit of b? 1 Let v = 10956 - 5184. What is the units digit of v? 2 Let h = 781 + -549. What is the hundreds digit of h? 2 Suppose -z - k = -6, 8 = 3*z + k - 2. Suppose -2*c - 4*g = -486, c - 243 = -3*g - z*g. What is the hundreds digit of c? 2 Suppose 13*h + 1729 = 9256. What is the tens digit of h? 7 Let x(r) = 2*r - 23. Let n be x(12). Suppose -37 = -6*k - n. What is the units digit of k? 6 Let t(o) = o**3 + 22*o**2 - 16*o + 14. Let l be t(-23). Let h = l - -195. What is the tens digit of h? 4 Let u(h) = -h**3 + 7*h**2 - 6*h + 5. Let v be u(5). Suppose -4*b - 4*q + 0*q = -84, 0 = -b + 3*q + v. What is the tens digit of b? 2 Suppose 4 - 3 = d. Let p be 447/15 - d/(-5). What is the tens digit of 668/60 + (-4)/p? 1 What is the hundreds digit of 4796 + (-26)/2 + 8? 7 Suppose 5*t - 4119 - 961 = 0. What is the units digit of t? 6 Suppose -z + 0 = 5, z = 3*m - 17. What is the units digit of -30*1/(-4)*m? 0 Suppose -2*n + g + 4 = 0, -4*g = -n - 2*n + 6. What is the tens digit of (-975)/(-35) - n/(-14)? 2 Let m = -28 - -52. Let f = -39 + m. Let a = f - -37. What is the tens digit of a? 2 Let o(m) = m**3 + 8*m**2 - 3*m + 8. Let h(j) = -j**3 + 18*j**2 - 18*j + 9. Let f be h(17). What is the units digit of o(f)? 2 Suppose 840 + 11570 = 10*v. What is the thousands digit of v? 1 Let m(l) be the first derivative of -7*l**2 + 7*l + 11. What is the units digit of m(-5)? 7 Let i(v) = -v**3 - 9*v**2 + 16*v + 4. Let b = -160 - -148. What is the hundreds digit of i(b)? 2 Let a(v) = -22*v - 212. What is the units digit of a(-25)? 8 Let v = 13 - 5. Let t be (5 - (-2)/1)*v. Suppose 0 = -o - 4*o + 4*c + 137, 2*o = c + t. What is the units digit of o? 9 Let y(l) = 15*l**3 - 8*l - 7. What is the units digit of y(3)? 4 Let o = -3520 + 5561. What is the tens digit of o? 4 Let g(c) = 2*c**3 - 47*c**2 + 33*c + 8. Let w be g(23). Suppose -56*q = -58*q + w. What is the tens digit of q? 1 What is the tens digit of (-2)/(-18) + (-247628)/(-1116)? 2 Suppose -3*m + 33*m = 32370. What is the units digit of m? 9 Let h(i) = 5*i**3 + 3*i**2 + 2*i - 8. Let u(z) = 9*z**3 + 7*z**2 + 4*z - 16. Let d(f) = -11*h(f) + 6*u(f). What is the tens digit of d(8)? 7 Let k be 1148/10 + 4*3/60. Suppose 5*y - 487 = -4*b, -3*y - 5*b + 415 - k = 0. What is the tens digit of y? 9 Suppose -63 = 2*a - 269. Suppose 2*y = f - a, -4 = -y - y. What is the tens digit of f? 0 Let y(f) = 9*f + 72. Let i(u) = 4*u + 36. Let v(z) = 5*i(z) - 2*y(z). What is the units digit of v(-17)? 2 Suppose -3*t + 3811 - 358 = 3*l, 4*l + 1161 = t. What is the hundreds digit of t? 1 Let u be (-12)/(-4)*(-3)/(-3). Suppose m = u*h - 1, 6*h = m + h + 7. What is the units digit of m? 8 Let o = -285 - -276. Let t be -4 + 2 - (-3 - -2). Let s = t - o. What is the units digit of s? 8 Suppose 3*d + 5*s = 1250, d + d - 5*s = 800. What is the hundreds digit of d? 4 Suppose 11939 + 8571 = 14*c. What is the units digit
{ "pile_set_name": "DM Mathematics" }
three letters picked without replacement from {i: 1, m: 1, e: 3, n: 2, p: 3, y: 1}. 1/330 Calculate prob of sequence vqu when three letters picked without replacement from {v: 1, w: 2, q: 2, e: 4, u: 6, p: 4}. 2/969 Calculate prob of sequence uu when two letters picked without replacement from {z: 1, t: 11, u: 7}. 7/57 What is prob of sequence mt when two letters picked without replacement from {g: 4, m: 4, a: 2, t: 9}? 2/19 What is prob of sequence rij when three letters picked without replacement from brbribwwjrrrr? 1/286 What is prob of sequence gl when two letters picked without replacement from {p: 6, g: 5, l: 2, t: 1, d: 3}? 5/136 Two letters picked without replacement from bbssbbbsqbbbqbb. What is prob of sequence sq? 1/35 Calculate prob of sequence qhxx when four letters picked without replacement from {r: 1, h: 1, p: 1, q: 2, x: 2}. 1/210 What is prob of sequence dd when two letters picked without replacement from dddd? 1 Three letters picked without replacement from {k: 1, p: 4, v: 12, x: 3}. Give prob of sequence kpv. 2/285 Calculate prob of sequence idv when three letters picked without replacement from {v: 1, t: 3, f: 7, d: 2, i: 7}. 7/3420 Two letters picked without replacement from uneeeniieuiiixi. Give prob of sequence iu. 2/35 Four letters picked without replacement from {x: 1, n: 14}. What is prob of sequence nnnn? 11/15 Two letters picked without replacement from udjih. Give prob of sequence dj. 1/20 Three letters picked without replacement from {h: 1, y: 1, c: 2, l: 2, a: 1}. Give prob of sequence lca. 2/105 Two letters picked without replacement from ynyznnzznnyy. What is prob of sequence zy? 1/11 Three letters picked without replacement from {t: 1, q: 1, i: 8, f: 8}. What is prob of sequence qft? 1/612 Calculate prob of sequence pzx when three letters picked without replacement from zxzzzaxzzyxps. 3/286 What is prob of sequence yyx when three letters picked without replacement from ysyxssgxgsxsy? 3/286 Four letters picked without replacement from vvvervrrrrvvevrvv. What is prob of sequence eerr? 1/952 What is prob of sequence bnbt when four letters picked without replacement from tbbnnab? 1/70 What is prob of sequence xyx when three letters picked without replacement from {o: 3, y: 1, f: 6, x: 6, h: 2}? 5/816 What is prob of sequence mmxm when four letters picked without replacement from {l: 3, x: 1, v: 3, m: 4}? 1/330 Two letters picked without replacement from {h: 13, i: 1, f: 3}. Give prob of sequence ih. 13/272 Calculate prob of sequence xtzf when four letters picked without replacement from {f: 3, t: 6, x: 1, z: 5}. 1/364 Two letters picked without replacement from {o: 1, u: 1, l: 1, j: 1, p: 2, i: 1}. Give prob of sequence po. 1/21 Calculate prob of sequence qrrx when four letters picked without replacement from {r: 5, x: 6, v: 6, q: 1}. 1/612 Three letters picked without replacement from wwwwwwwwwwxww. Give prob of sequence xww. 1/13 What is prob of sequence hc when two letters picked without replacement from tcctcchhchchcthch? 3/17 Two letters picked without replacement from fxafgggxghhcg. Give prob of sequence ac. 1/156 Two letters picked without replacement from {r: 1, i: 1, f: 1, l: 2, s: 2, n: 1}. Give prob of sequence ln. 1/28 Three letters picked without replacement from {f: 2, i: 2, y: 4}. Give prob of sequence yfi. 1/21 Calculate prob of sequence go when two letters picked without replacement from {d: 3, o: 1, g: 3, q: 3}. 1/30 Calculate prob of sequence puu when three letters picked without replacement from upiuuyiuuuxiuxui. 1/60 What is prob of sequence gzg when three letters picked without replacement from {k: 1, d: 1, g: 4, z: 2, o: 8}? 1/140 Calculate prob of sequence wctw when four letters picked without replacement from wzcztwzwzczzzw. 1/1001 What is prob of sequence ti when two letters picked without replacement from iuizuiiccctuiuiuuc? 1/51 What is prob of sequence qg when two letters picked without replacement from {b: 6, r: 3, g: 2, k: 5, q: 2}? 2/153 What is prob of sequence ee when two letters picked without replacement from heedqqdqeeqehqqdqeeq? 21/190 What is prob of sequence wf when two letters picked without replacement from dwwwdwddwfwf? 1/11 What is prob of sequence pv when two letters picked without replacement from {p: 3, v: 2, j: 1, m: 5, g: 6}? 3/136 What is prob of sequence by when two letters picked without replacement from {b: 4, y: 1, r: 2}? 2/21 Four letters picked without replacement from eeeeewewwwwee. What is prob of sequence eeww? 28/429 Four letters picked without replacement from {d: 5, r: 8}. Give prob of sequence rrdd. 28/429 What is prob of sequence ywhm when four letters picked without replacement from hhyhhmhwy? 5/1512 Calculate prob of sequence hxv when three letters picked without replacement from {x: 1, v: 1, q: 2, h: 1}. 1/60 What is prob of sequence rjy when three letters picked without replacement from mrjfhyrj? 1/84 Calculate prob of sequence ff when two letters picked without replacement from ftffqtqqtffftqff. 7/30 Four letters picked without replacement from {i: 1, y: 2, m: 2, n: 1, c: 1}. Give prob of sequence mmci. 1/420 Calculate prob of sequence dd when two letters picked without replacement from {d: 7, n: 2}. 7/12 Two letters picked without replacement from {u: 2, d: 2, a: 4}. Give prob of sequence ua. 1/7 What is prob of sequence gw when two letters picked without replacement from naaaaagzwnng? 1/66 What is prob of sequence ia when two letters picked without replacement from {a: 5, i: 15}? 15/76 Four letters picked without replacement from jjljjojjjljljjlollj. Give prob of sequence jjjl. 165/2584 Calculate prob of sequence yiji when four letters picked without replacement from {i: 2, y: 4, w: 7, j: 1}. 1/3003 Four letters picked without replacement from wocrrnt. What is prob of sequence tcwr? 1/420 Two letters picked without replacement from {r: 2, y: 1}. What is prob of sequence ry? 1/3 Calculate prob of sequence ccff when four letters picked without replacement from {f: 9, c: 10}. 45/646 Calculate prob of sequence idjj when four letters picked without replacement from {b: 1, d: 6, i: 3, z: 1, j: 4}. 3/455 Calculate prob of sequence yi when two letters picked without replacement from {f: 1, p: 1, j: 1, i: 2, y: 1, h: 1}. 1/21 Calculate prob of sequence jlb when three letters picked without replacement from cjcbjcllbccbljbcj. 1/85 What is prob of sequence fp when two letters picked without replacement from {y: 2, f: 8, x: 3, p: 4}? 2/17 What is prob of sequence bt when two letters picked without replacement from tbttbtbptb? 2/9 Calculate prob of sequence lgs when three letters picked without replacement from {s: 2, g: 1, l: 4}. 4/105 Two letters picked without replacement from {m: 11, s: 2}. Give prob of sequence ms. 11/78 Two letters picked without replacement from {v: 5, u: 5}. Give prob of sequence uv. 5/18 What is prob of sequence vt when two letters picked without replacement from {v: 7, t: 4}? 14/55 What is prob of sequence zzgz when four letters picked without replacement from {z: 11, g: 3}? 45/364 Two letters picked without replacement from hxhfwffwtfftfffhfw. What is prob of sequence wx? 1/102 Four letters picked without replacement from xxxxxxx. Give prob of sequence xxxx. 1 Two letters picked without replacement from {z: 6, o: 4, j: 3, w: 1}. What is prob of sequence zw? 3/91 Four letters picked without replacement from lllldppllldllppllpl. Give prob of sequence lldd. 11/3876 Two letters picked without replacement from yudsudu. What is prob of sequence sy? 1/42 Four letters picked without replacement from eezge. What is prob of sequence ezeg? 1/20 Calculate prob of sequence iiii when four letters picked without replacement from iiiiiiiiii. 1 Calculate prob of sequence phhp when four letters picked without replacement from hhzzhzpzphzzhhphp. 3/340 Four letters picked without replacement from fffffffff. Give prob of sequence ffff. 1 Calculate prob of sequence fx when two letters picked without replacement from {x: 4, m: 2, f: 2}. 1/7 Calculate prob of sequence ljql when four letters picked without replacement from lqllqlj. 1/35 What is prob of sequence hc when two letters picked without replacement from ccnmncnhcmhocnxhnmhn? 1/19 Calculat
{ "pile_set_name": "DM Mathematics" }
e 3*a - 20*a + 68 = 0. Suppose 0 = -3*h + 4*p + 11 + 8, 3*h + a*p - 59 = 0. Let i = -57 + h. Is i at most -43? True Let j be 6/(2*(-48)/(-736)). Which is smaller: j or 44? 44 Suppose 3850 = -426*w + 365*w - 7557. Do w and -185 have the same value? False Suppose -3*k - q = -6*k - 1193, 3*q = k + 411. Let h be (-2)/18 - (-11)/(k/(-6376)). Is -0.1 less than or equal to h? True Let h = 268 + -240. Suppose -h = -16*m + 9*m. Is 4 smaller than m? False Let y = -576/5 - -231/2. Let w = 215 - 238.2. Let z = w + 23. Which is bigger: z or y? y Let r be (-19 - (-3710)/196)/((-4)/16 - 0). Let q(j) = j**2 - 5*j + 3. Let g be q(6). Let x be ((-3)/18)/((-2)/g). Do r and x have the same value? False Let b(h) = 42*h + 207. Let y be b(4). Which is smaller: 372 or y? 372 Let w = 228002 + -26676046/117. Is w equal to 3? False Let x = 27448 + -32316. Which is bigger: x or -4865? -4865 Let v(i) = -546*i - 776. Let f be v(-7). Is f at least 3045? True Let k = -62570 + 187708/3. Let d be (78/38 + -2)*-3. Which is bigger: d or k? d Let g be ((2/(-3))/((-8)/132))/((-174)/348). Let r(s) = 7*s + 5. Suppose -5*o - 7 = y - 2*o, 2*o + 18 = -4*y. Let z be r(y). Which is greater: g or z? g Suppose t + 31 = 38, 2*f - t + 6313 = 0. Which is smaller: -3154 or f? -3154 Suppose 34*a + 66 = a. Let r be (-9)/(-324)*9*a. Which is bigger: -1 or r? r Let x = -83 + 24. Let g = -50 - x. Suppose -g*m = m + 30. Which is bigger: -6 or m? m Let i = -0.2 + 0.5. Let g = 213 + -212.9585. Let u = 16.9585 + g. Are i and u non-equal? True Suppose 142 = -5*r + 3*j - 235, 0 = -5*r + 2*j - 373. Let v = 55 - 130. Which is bigger: v or r? r Let h = 2676845/48162 + -31/2094. Is h less than 57? True Let o = 58 - 56. Suppose -3*f - 17 = -o*n, 0*f - 4*f = -3*n + 25. Let w = 109 + -101. Is w > n? True Let n = -7 - -4. Suppose 0 = -0*o - 2*o - c + 4, 3*c = 0. Let u be (o + n)*(3 - -4). Which is bigger: -4 or u? -4 Let r be (-11)/88*12/990. Does 0 = r? False Suppose -8*u + 576 = u. Let g = -28 + u. Let k be 4/g*(-3)/2*-86. Is k at most 14? False Let l = -124 - -182. Let c = 61 - l. Let f be c/((-45)/(-12)) - (-1)/5. Which is bigger: f or 1/15? f Let s = -72791/5 + 14700. Is 142 >= s? True Let z = 21911 + -21910. Let o = 57021/35 - 1629. Are z and o equal? False Let i = 6202349416/11194819 + 52/211223. Let f = i + -554. Let p = -4304 + 4305. Which is bigger: p or f? p Let h(u) = 9*u + 2. Let z(f) = -5*f - 3. Let x be z(-1). Let t be h(x). Suppose 8 = 2*c + 2*c, -4*c = -4*b - t. Are b and 3 nonequal? True Let o(a) = 3*a**2 - 6*a - 35. Let h be o(-3). Let j be (h/(-6))/(70/(-1008)). Is j <= 0.05? False Let m be 4/6*(0 + 4/8). Suppose 3*c + 8 = -w, -4*w = -2*w + 2*c. Suppose b - 9 = -2*b + w*v, b - 5*v = 14. Which is smaller: m or b? b Let i = 0.01 - 0.003. Let r be 33 - (-8 + 9429/231). Is i != r? True Let w = -21.831 + 21.3. Let g = -0.231 - w. Do g and -3.9 have the same value? False Let g(k) = k - 15. Let i be g(17). Let u be 3/4 - (-18)/(-24). Suppose -4*l - 3 = 4*o + l, 3*l - 3 = u. Is o at most i? True Let o = 110 + -112. Let f be (10/15)/(o/3) + -9. Which is bigger: -13 or f? f Let d = -3509 + 3807266/1085. Suppose -3*b + 3*b = 3*b. Is b less than d? True Let j = -4/15299 + -72867/13876193. Is 1 smaller than j? False Let a = -127.69 - -127.69. Do a and 27.48 have different values? True Let k = 0.035 - 47.035. Let r = -5.61 - -37.61. Let x = k + r. Which is smaller: x or -2/7? x Suppose 4*i - 45 = 3*r + 391, i + 446 = -3*r. Is r less than or equal to -152? False Suppose -84*o + 81*o = 561. Let q(l) = -l**2 - 44*l + 229. Let t be q(-52). Is t >= o? True Let z(t) = 5*t**2 + 2*t - 1. Let b be z(4). Let k = b - -24. Let i = 105 - k. Is i less than -7? False Let x = 12773 + -12772. Which is smaller: 141 or x? x Let p be ((-87)/54)/(62/(-34)). Let t = 1/186 + p. Let n(j) = j + 1. Let y be n(1). Does t = y? False Let a = 171.5 + -172. Let y = 0.6 + a. Which is greater: y or 74? 74 Let g be 586/2*((-12 - -1) + 8). Which is smaller: -876 or g? g Let n be (3/7)/(20/(-42)). Let y = 114211/3 - 38070. Which is smaller: y or n? n Let c be (6 + -7)/(1*(30/155)/6). Which is greater: c or -51? c Suppose -5*z + 20*q = 17*q - 62, -3*q = 5*z - 38. Let c be (75/z)/(-15)*82. Is c at least -41? True Let d = 60 + -53. Suppose 3*x + x = -4*x. Let j be 4 + (-4 - x) + d/(-3). Which is smaller: -8 or j? -8 Let m be (4 - 4/5)*(-7465)/(-2). Is m smaller than 11943? False Let o(v) = v**3 + 7*v**2 + 3. Let n be o(-5). Let j = n + -49. Suppose c + j*c - 4*p = 95, -70 = -4*c + 2*p. Are c and 15 equal? True Suppose -1 = -3*g - 2*a, -7*a = g - 3*a - 7. Let n(p) = p + 1. Suppose -2*h + 6*h - r = -25, 34 = -5*h + 4*r. Let v be n(h). Is v at least g? False Let j = 1052 - 1016. Let k be 45/j - 21/(-28). Let r be 3/(1 + (-6)/1). Which is smaller: k or r? r Suppose 2005 = 22*i + 2577. Is i bigger than -3/8? False Let u = -1504 + 1501. Which is smaller: u or -95? -95 Let l(x) = 3*x**3 - 10*x**2 + 4*x - 47. Let h be l(4). Is -16/49 > h? False Let u be (-15)/(-138)*2*12/(-8130). Which is smaller: -1 or u? -1 Let q(p) = -3*p**3 + 19*p**2 + 19. Let s be q(0). Which is greater: s or 29? 29 Let v be 7*(-2)/7*4/(-4). Suppose -11 = -3*l - v. Suppose -f = l*f + f. Is -2/43 not equal to f? True Suppose -855*z + 6628 = -859*z + 3*q, 0 = -2*z - 5*q - 3314. Which is smaller: -1656 or z? z Suppose 5*i - 5*g + 35 = 0, 0 = 5*i + 2*g - g + 53. Let m(u) = -u**3 - 11*u**2 - 9*u + 12. Let w be m(i). Suppose q = -w*q + 3. Which is smaller: 1/3 or q? 1/3 Let h(f) = f**3 - 8*f**2 + 14*f + 12. Let a be h(5). Is a greater than or equal to 27? False Let m = -7212 + 7221. Is 94.9 at least m? True Let m = 6301/18885 + -2/6295. Is 28.1 smaller than m? False Let v be (-8)/(-3) + -3 + (-112)/(-66). Let m = 0.251 + -0.051. Is m >= v? False Let n = -162852/103 + 1581. Which is bigger: 0 or n? 0 Suppose 0 = -x - 2*f + 6*f + 28, 2*x - 56 = 5*f. Let s be ((-180)/27)/((-2)/9). Which is greater: x or s? s Suppose -p - 194 = -3*z, -4*z + 50 = -4*p - 206. Suppose z*v - 63*v - 884 = 0. Which is greater: v or 441? v Suppose 28*u + 7879 = 7879. Is -2/9689 greater than or equal to u? False Let z = -0.29 - 1.26. Let u = 112091 + -112092. Which is greater: z or u? u Let r be 18/(-9)*(-4 - -1). Let n be r/9 + 426/(-18) - -1. Is n smaller than -24? False Let z = 0.6618 - -1.3382. Is z at least 1113? False Let g = 10.1 + -7.55. Let w = -42929 + 42929. Which is smaller: g or w? w Let x(f) = -f**3 + 10*f**2 - 17*f + 4. Let z be x(8). Let i be 384/14 - z/7. Suppose i*c = 24*c - 32. Is 0 <= c? False Let m = -2701.9 + 3104. Which is greater: m or 1/2? m Let w be (-3 + -5)*6/(-392). Suppose -325*u = 334 - 9. Which is greater: w or u? w Let x = -14433/2002 + 5/182. Do -6 and x have the same value? False Let b = -4.88 + 5. Let d = 0 - b. Suppose -5*x + 20 = 57*j - 59*j, 0 = -5*x + 3*j + 25. Which is greater: x or d? x Let p be 1*(-3 - (-720)/224)/(6/7). Which is smaller: p or -8/97? -8/97 Suppose 0*u - 5*g - 67 = -2*u, 3 = 3*g. Let m be (u/(-30))/(3/15). Let v = m + 0. Which is smaller: -9 or v? -9 Let d be (-2 + 3)/((-19)/(-19)). Let l = 241 - 1691/7. Which is bigger: d or l? d Let y be (-301)/(-23) + (-426)/138 + 3. Suppose 3*r + 47 = -37. Let x be r/(-24) + (-2)/3. Which is smaller: x or y? x Let j = 1084173/11 + -98667. Let d = j - -106. Let n = 6.961 - 2.961. Which is smaller: d or n? d Suppose 105 = 7*p - 147. Suppose 194*y - 190*y = -p. Is -9 equal to y? True Let d(g) be the first derivative of 5*g**2/2 - 114*g + 33. Let p be d(0). Let u be ((-22)/(-33))/(4/p). Is u <= -19? True Let p be -25 - (-19 - (-13 - 1)). Which is smaller: -23 or p? -23 Suppose -4*o - v - 5545 = 0, 21*o - 4161 = 24*o + v. Which is greater: o or -0.6? -0.6 Let n = 6 - 10. Let o(g) = 3*g**3 - 66*g**2 - 67*g - 61. Let v be o(23). Which is bigger: n or v? n Suppose -125*x = -5*s - 124*x - 565, -s - x = 119. Which is bigger: s or -257? s Let k = 20530 + -22813. Which is greater: -2 or k? -2 Let o = -0.432 - -0.3. Let z = 25.868 - o. Is z equal to 1? False Suppose 0 = -2040*a + 2034*a. Which is bigger: -2/96093 or a? a Suppose -u = u - 36. Let q be ((-20)/(-14))/((-22)/(-154)). Let w be (-2)/(((-10)/q)/(u/(-4))). Do -35/4 and w have different values? True Let b = 523 - -7566. Is b <= 8089? True Let v = 9559 - 9559. Let b be (
{ "pile_set_name": "DM Mathematics" }
ee letters picked without replacement from zarzaazazrar. Give prob of sequence rra. 1/44 What is prob of sequence ys when two letters picked without replacement from {h: 2, y: 1, w: 8, s: 2}? 1/78 Four letters picked without replacement from yyhmm. What is prob of sequence myym? 1/30 Two letters picked without replacement from egdggggggggyyrggsed. Give prob of sequence se. 1/171 What is prob of sequence yg when two letters picked without replacement from {i: 2, y: 8, j: 2, g: 1}? 2/39 Four letters picked without replacement from eeezeeeaeazzzeszec. Give prob of sequence azzz. 1/612 Three letters picked without replacement from dyyydgy. Give prob of sequence ddy. 4/105 Four letters picked without replacement from yuvuuqquyyqyzqwqzuuy. Give prob of sequence zwvq. 1/11628 Two letters picked without replacement from llll. Give prob of sequence ll. 1 Three letters picked without replacement from {v: 2, n: 1, p: 4, g: 2}. What is prob of sequence gpp? 1/21 Two letters picked without replacement from {z: 4, r: 1, k: 3, l: 3}. Give prob of sequence kz. 6/55 What is prob of sequence aaii when four letters picked without replacement from yaaljlrjirirri? 1/2002 Calculate prob of sequence is when two letters picked without replacement from fdafxsfssfafaiddf. 3/272 Two letters picked without replacement from {z: 1, o: 1, f: 1, r: 2, d: 1, q: 1}. Give prob of sequence dd. 0 Four letters picked without replacement from {c: 6, b: 1, p: 8}. Give prob of sequence bccc. 1/273 Four letters picked without replacement from wtwtttt. Give prob of sequence ttwt. 1/7 Calculate prob of sequence kl when two letters picked without replacement from {l: 7, m: 1, j: 3, k: 1}. 7/132 Three letters picked without replacement from {x: 6, h: 2, i: 1, l: 1, y: 5}. What is prob of sequence hyi? 1/273 Four letters picked without replacement from yyyyuyuyuytyyv. Give prob of sequence yuvu. 9/4004 Four letters picked without replacement from {o: 4, d: 1, h: 1, u: 2, g: 2, v: 2}. Give prob of sequence hvdv. 1/5940 Three letters picked without replacement from iiiiiliiiiiiiliiiili. Give prob of sequence lii. 34/285 Calculate prob of sequence aa when two letters picked without replacement from {s: 1, f: 2, a: 9, u: 8}. 18/95 Four letters picked without replacement from xguxgxxxjgd. What is prob of sequence xdug? 1/528 Two letters picked without replacement from qqquhmqqqqquq. What is prob of sequence qu? 3/26 Three letters picked without replacement from {n: 3, z: 2, i: 7}. Give prob of sequence zni. 7/220 Three letters picked without replacement from {s: 3, k: 3}. Give prob of sequence skk. 3/20 Four letters picked without replacement from ddxxjdidn. Give prob of sequence xijd. 1/378 What is prob of sequence dp when two letters picked without replacement from eeqeqqhdeqpqeephep? 1/102 What is prob of sequence ig when two letters picked without replacement from {g: 9, w: 4, i: 2, x: 3}? 1/17 Two letters picked without replacement from {s: 2, u: 2}. What is prob of sequence us? 1/3 Three letters picked without replacement from yyyvgygyhvvytgvtvtbh. Give prob of sequence hyg. 1/190 Calculate prob of sequence qpj when three letters picked without replacement from spzsppspzjq. 2/495 What is prob of sequence wu when two letters picked without replacement from {d: 1, n: 13, u: 2, w: 1, z: 3}? 1/190 Calculate prob of sequence qq when two letters picked without replacement from {u: 2, m: 1, f: 5, q: 11}. 55/171 Calculate prob of sequence eam when three letters picked without replacement from {x: 1, e: 3, r: 4, a: 6, c: 4, m: 1}. 1/323 Three letters picked without replacement from nnnnnrrnrnn. What is prob of sequence rnr? 8/165 Two letters picked without replacement from iivkiivvkv. What is prob of sequence ik? 4/45 Calculate prob of sequence ai when two letters picked without replacement from {s: 1, i: 1, v: 1, a: 1, h: 1}. 1/20 Four letters picked without replacement from {p: 1, a: 12, i: 6}. What is prob of sequence piip? 0 Two letters picked without replacement from zzuz. What is prob of sequence uz? 1/4 Three letters picked without replacement from {w: 1, u: 11}. Give prob of sequence uwu. 1/12 Four letters picked without replacement from opppslpl. What is prob of sequence ollp? 1/210 Two letters picked without replacement from {k: 13, u: 3}. What is prob of sequence kk? 13/20 Four letters picked without replacement from snsiiinsnns. Give prob of sequence iini. 1/330 Three letters picked without replacement from {p: 15, j: 3}. What is prob of sequence jpj? 5/272 What is prob of sequence cxxb when four letters picked without replacement from cccxcbcbbxbxxccc? 4/455 What is prob of sequence wj when two letters picked without replacement from {r: 2, h: 1, q: 3, w: 1, j: 3, d: 3}? 1/52 Four letters picked without replacement from yyttyyyyyyyyyyyyyyy. What is prob of sequence ytyy? 5/57 Two letters picked without replacement from {v: 3, o: 3, i: 1, d: 2, p: 1}. What is prob of sequence dv? 1/15 Three letters picked without replacement from {l: 2, c: 1, i: 7, o: 1, q: 4, h: 3}. Give prob of sequence ohh. 1/816 Four letters picked without replacement from dnnlddnl. Give prob of sequence nnnl. 1/140 What is prob of sequence prp when three letters picked without replacement from {r: 1, p: 3, g: 3, i: 2, h: 1}? 1/120 What is prob of sequence fd when two letters picked without replacement from {e: 6, d: 3, c: 2, a: 3, f: 1}? 1/70 Calculate prob of sequence uiq when three letters picked without replacement from {u: 2, q: 8, i: 5, o: 1, e: 2}. 5/306 Calculate prob of sequence za when two letters picked without replacement from qlqaozlv. 1/56 Calculate prob of sequence rrrr when four letters picked without replacement from {r: 6}. 1 What is prob of sequence cvc when three letters picked without replacement from {j: 1, i: 2, c: 11, v: 2}? 11/168 Three letters picked without replacement from {r: 2, j: 1, t: 6, l: 5, p: 5}. What is prob of sequence jlp? 25/5814 Calculate prob of sequence tg when two letters picked without replacement from gbttrr. 1/15 Three letters picked without replacement from kkkee. What is prob of sequence kek? 1/5 Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmmmmm. 1 What is prob of sequence bc when two letters picked without replacement from ccccrcbccccbcc? 11/91 Three letters picked without replacement from {h: 1, w: 1, c: 1, x: 6}. Give prob of sequence wxx. 5/84 Two letters picked without replacement from ludmtbummltl. What is prob of sequence mu? 1/22 Three letters picked without replacement from kbnbbbkbnbhbbbbbbbk. Give prob of sequence bbn. 52/969 Two letters picked without replacement from {h: 3, y: 1, u: 1}. What is prob of sequence hh? 3/10 Calculate prob of sequence dlq when three letters picked without replacement from {q: 2, b: 3, l: 2, n: 1, d: 6}. 1/91 Three letters picked without replacement from {t: 2, r: 3, q: 1, v: 6}. Give prob of sequence rvv. 3/44 Two letters picked without replacement from {f: 5, h: 12, m: 1, g: 1}. What is prob of sequence gf? 5/342 What is prob of sequence yuy when three letters picked without replacement from ayuuyhyhuexhhuyhayhu? 5/342 What is prob of sequence dd when two letters picked without replacement from {n: 2, d: 5, b: 5}? 5/33 Three letters picked without replacement from fdybbdfzfdfdzdzddff. What is prob of sequence dff? 35/969 Two letters picked without replacement from {u: 9}. What is prob of sequence uu? 1 What is prob of sequence ooj when three letters picked without replacement from hhojohhooho? 2/99 Four letters picked without replacement from ilqkmlkq. Give prob of sequence qqkk. 1/420 Two letters picked without replacement from {f: 1, s: 1, u: 1, c: 4, l: 3, p: 2}. What is prob of sequence sl? 1/44 Calculate prob of sequence jj when two letters picked without replacement from ppppgpupjppgj. 1/78 Four letters picked without replacement from iuuiuxxbitk. What is prob of sequence kkkx? 0 Calculate prob of sequence gygy when four letters picked without replacement from {g: 2, y: 6}. 1/28 Calculate prob of sequence unnn when four letters picked without replacement from {n: 5, u: 7}. 7/198 Two letters picked without replacement from {x: 1, d: 1, a: 3, r: 10, l: 1, g: 2}. Give prob o
{ "pile_set_name": "DM Mathematics" }
Factor -o**3/7 + 80*o**2/7 - 204*o - 1008. -(o - 42)**2*(o + 4)/7 Suppose -k**4 - k**3 + 27*k**2 - 27*k - 54 = 0. What is k? -6, -1, 3 Suppose 4*n**3/7 - 4*n**2 - 72*n/7 = 0. What is n? -2, 0, 9 Factor v**5 + 393*v**4 + 39198*v**3 + 115246*v**2 + 114465*v + 38025. (v + 1)**3*(v + 195)**2 What is d in 3*d**5 + 30*d**4 + 39*d**3 - 72*d**2 = 0? -8, -3, 0, 1 Find y such that -248*y**4 + 494*y**3 + 1740*y**2 + 1006*y + 8 = 0. -1, -1/124, 4 Factor -f**3/3 - f**2/3 + f/3 + 1/3. -(f - 1)*(f + 1)**2/3 Factor 3*h**4 - 1059*h**3 - 1062*h**2. 3*h**2*(h - 354)*(h + 1) Solve -5*n**4/2 + 5*n**3/2 + 15*n**2 - 10*n - 20 = 0. -2, -1, 2 What is n in n**4/5 - 3*n**3 + 5*n**2 + 3*n - 26/5 = 0? -1, 1, 2, 13 Suppose 5*j**4 + 24*j**3 - 441*j**2/5 - 404*j/5 - 84/5 = 0. What is j? -7, -2/5, 3 Factor 2*z**3 - 18*z**2 - 8*z + 72. 2*(z - 9)*(z - 2)*(z + 2) Let -4*c**3 - 3504*c**2 = 0. Calculate c. -876, 0 Factor -2*a**5 - 470*a**4 - 44180*a**3 - 2076460*a**2 - 48796810*a - 458690014. -2*(a + 47)**5 Factor -3*j**3/7 + 738*j**2/7 + 3000*j/7. -3*j*(j - 250)*(j + 4)/7 Find r such that -2*r**4/7 - 668*r**3/7 - 664*r**2/7 + 668*r/7 + 666/7 = 0. -333, -1, 1 Suppose -2*g**2/5 - 620*g - 240250 = 0. Calculate g. -775 Factor 1331*d**4/2 + 1452*d**3 - 1485*d**2 + 432*d - 81/2. (d + 3)*(11*d - 3)**3/2 Determine m, given that 3*m**4/7 + 16503*m**3/7 + 4322214*m**2 + 2639430444*m - 2643755016 = 0. -1834, 1 Find d such that -4*d**5 + 36*d**4 - 80*d**3 + 48*d**2 = 0. 0, 1, 2, 6 Factor -w**3 - 12*w**2 - 17*w + 30. -(w - 1)*(w + 3)*(w + 10) Solve -5*d**3 - 5*d**2 + 45*d + 45 = 0. -3, -1, 3 Solve 4*b**2 - 16024*b + 16048036 = 0. 2003 Determine q so that -1314*q**3/7 - 3939*q**2/7 + 5265*q/7 - 12/7 = 0. -4, 1/438, 1 Let -4*k**2 - 12*k + 16 = 0. What is k? -4, 1 Determine y so that 3*y**3/7 + 15*y**2/7 + 6*y/7 - 24/7 = 0. -4, -2, 1 Suppose -7290*i**5 - 81405*i**4 - 150525*i**3 - 77030*i**2 - 15420*i - 1080 = 0. What is i? -9, -3/2, -2/9 Factor -3*j**2/8 - 15*j/8 + 21/4. -3*(j - 2)*(j + 7)/8 Determine d so that 4*d**5/7 + 16*d**4/7 - 72*d**3/7 - 288*d**2/7 + 324*d/7 + 1296/7 = 0. -4, -3, 3 Factor -4*r**3 - 248*r**2 - 1756*r - 1512. -4*(r + 1)*(r + 7)*(r + 54) Factor 2*r**4/7 - 886*r**3/7 - 254*r**2 - 890*r/7. 2*r*(r - 445)*(r + 1)**2/7 Suppose 2*c**2/5 + 16*c/5 = 0. What is c? -8, 0 Factor -3*l**2/4 - 405*l/8 - 201/8. -3*(l + 67)*(2*l + 1)/8 Factor -21*z**2/8 + 219*z/8 - 45/4. -3*(z - 10)*(7*z - 3)/8 Solve -16*x**5/5 + 92*x**4/5 - 24*x**3 + 28*x**2/5 + 16*x/5 = 0. -1/4, 0, 1, 4 Find f such that -2*f**4/5 - 48*f**3/5 - 50*f**2 - 204*f/5 = 0. -17, -6, -1, 0 Let -3*u**5 + 33*u**4 - 102*u**3 + 42*u**2 + 105*u - 75 = 0. Calculate u. -1, 1, 5 Find i, given that -75*i**3/4 + 27585*i**2/4 + 33183*i/4 + 9963/4 = 0. -3/5, 369 Factor -2*n**3 + 144*n**2/5 - 546*n/5 + 196/5. -2*(n - 7)**2*(5*n - 2)/5 Factor m**3/7 + 3*m**2/7 - 18*m/7. m*(m - 3)*(m + 6)/7 Factor 3*v**3 + 330*v**2 + 651*v + 324. 3*(v + 1)**2*(v + 108) Factor 2*k**3 + 14*k**2 + 14*k - 30. 2*(k - 1)*(k + 3)*(k + 5) Determine z, given that z**2/11 + 322*z/11 + 321/11 = 0. -321, -1 Suppose 4*c**3 - 16*c = 0. Calculate c. -2, 0, 2 Suppose -2*a**4 + 176*a**3/3 - 52*a**2/3 - 176*a/3 + 58/3 = 0. Calculate a. -1, 1/3, 1, 29 Factor 3*h**2 + 84*h + 225. 3*(h + 3)*(h + 25) Find q such that -4*q**2 - 232*q - 1764 = 0. -49, -9 Solve p**5 - 20*p**4 + 78*p**3 + 220*p**2 + 121*p = 0. -1, 0, 11 Factor 4*x**5 - 108*x**4 + 848*x**3 - 640*x**2 - 9600*x - 8000. 4*(x - 10)**3*(x + 1)*(x + 2) Let 4*c**4 + 16*c**3 - 44*c**2 - 120*c = 0. Calculate c. -5, -2, 0, 3 Factor -2*s**3 - 116*s**2 + 506*s + 620. -2*(s - 5)*(s + 1)*(s + 62) Factor -3*l**2 + 162*l - 2175. -3*(l - 29)*(l - 25) Suppose -2*g**2/13 - 30*g/13 + 32/13 = 0. What is g? -16, 1 Factor 2*d**3/13 + 16*d**2/13 - 2*d/13 - 16/13. 2*(d - 1)*(d + 1)*(d + 8)/13 Determine b, given that -b**3/6 - 5*b**2/6 - 2*b/3 = 0. -4, -1, 0 Factor 2*q**3 + 38*q**2. 2*q**2*(q + 19) Suppose -322*b**3/15 + 2696*b**2/15 - 968*b/15 + 64/15 = 0. Calculate b. 2/23, 2/7, 8 Factor m**2/4 + 3479*m/2 + 12103441/4. (m + 3479)**2/4 Suppose -5*o**4 - 155*o**3 - 945*o**2 - 505*o + 1610 = 0. What is o? -23, -7, -2, 1 Factor 4*r**2/5 + 24*r/5 + 4. 4*(r + 1)*(r + 5)/5 Solve -62*q**2/3 - 46*q/3 + 16/3 = 0. -1, 8/31 Find j such that -5*j**4 - 70*j**3 + 435*j**2 + 1260*j - 1620 = 0. -18, -3, 1, 6 Factor 14*q**3/13 + 2426*q**2/13 + 692*q/13. 2*q*(q + 173)*(7*q + 2)/13 Factor -2*g**3/5 + 192*g**2/5 - 376*g/5. -2*g*(g - 94)*(g - 2)/5 Factor -5*w**4 + 130*w**3 - 125*w**2. -5*w**2*(w - 25)*(w - 1) Determine p, given that -10*p**4/13 - 16*p**3/13 + 18*p**2/13 + 16*p/13 - 8/13 = 0. -2, -1, 2/5, 1 Solve 15*m**5/4 - 87*m**4/2 + 162*m**3 - 228*m**2 + 60*m + 72 = 0 for m. -2/5, 2, 6 Suppose -80*j**5 - 92*j**4 + 316*j**3 + 376*j**2 + 16*j - 32 = 0. Calculate j. -2, -1, -2/5, 1/4, 2 Suppose -2*w**3/9 - 434*w**2/9 - 23326*w/9 + 23762/9 = 0. What is w? -109, 1 Determine t so that 3*t**4/2 - 69*t**3/2 + 543*t**2/2 - 1719*t/2 + 945 = 0. 3, 7, 10 Solve p**4/4 - 2*p**3 + 21*p**2/4 - 11*p/2 + 2 = 0. 1, 2, 4 Solve 8*p**4/5 - 26*p**3 + 2*p**2 + 68*p + 192/5 = 0 for p. -1, -3/4, 2, 16 Solve 2*z**2 - z/3 = 0 for z. 0, 1/6 Factor 3*n**2 - 1116*n + 1113. 3*(n - 371)*(n - 1) Factor d**2 - 132*d + 4356. (d - 66)**2 Factor q**3/3 - 92*q**2/3 - 187*q/3 - 94/3. (q - 94)*(q + 1)**2/3 Determine d so that d**2 - 21*d + 54 = 0. 3, 18 Solve -6*i**5 - 32*i**4/3 + 80*i**3/3 + 20*i**2/3 - 62*i/3 + 4 = 0 for i. -3, -1, 2/9, 1 Let 2*q**2/9 + 38*q/9 + 56/3 = 0. Calculate q. -12, -7 Let -3*x**3 - 99*x**2 - 513*x - 729 = 0. What is x? -27, -3 Factor -2*r**2/11 - 92*r/11 - 410/11. -2*(r + 5)*(r + 41)/11 What is m in -3*m**2/5 - 249*m/5 + 882 = 0? -98, 15 Factor -3*c**5/8 - 99*c**4/8 - 765*c**3/8 + 867*c**2/8. -3*c**2*(c - 1)*(c + 17)**2/8 Suppose -5*r**4 + 75*r**3 - 180*r**2 - 20*r + 240 = 0. What is r? -1, 2, 12 Factor y**3/4 + 11*y**2/4 + 13*y/2 + 4. (y + 1)*(y + 2)*(y + 8)/4 Solve -y**5/4 - 3*y**4/4 - y**3/4 + 3*y**2/4 + y/2 = 0. -2, -1, 0, 1 Factor -v**5 + 111*v**4 + 339*v**3 + 341*v**2 + 114*v. -v*(v - 114)*(v + 1)**3 Find y such that -4*y**2 - 32*y + 80 = 0. -10, 2 Factor -3*x**2/4 - 2331*x/4 - 2325/2. -3*(x + 2)*(x + 775)/4 Factor 2*m**4 - 126*m**3 + 1920*m**2 + 2048*m. 2*m*(m - 32)**2*(m + 1) Let -2*i**2 - 592*i - 43808 = 0. Calculate i. -148 Factor -5*s**5 + 45*s**4 - 105*s**3 + 95*s**2 - 30*s. -5*s*(s - 6)*(s - 1)**3 Factor 3*u**3 - 6*u**2 - 9*u. 3*u*(u - 3)*(u + 1) Factor -v**5/4 - 11*v**4/4 - 39*v**3/4 - 61*v**2/4 - 11*v - 3. -(v + 1)**3*(v + 2)*(v + 6)/4 Determine b, given that -7*b**3/8 + 607*b**2/8 + 355*b/2 + 89/2 = 0. -2, -2/7, 89 Factor -2*z**3/5 - 8*z**2/5 - 2*z - 4/5. -2*(z + 1)**2*(z + 2)/5 Solve 5*r**4 - 105*r**3 + 600*r**2 + 320*r - 7680 = 0 for r. -3, 8 Factor -3*r**3 + 12726*r**2 - 25443*r + 12720. -3*(r - 4240)*(r - 1)**2 Factor -2*m**2 - 264*m - 8712. -2*(m + 66)**2 Factor l**4/10 + 9*l**3/2 - 153*l**2/5 + 16*l/5 + 816/5. (l - 4)**2*(l + 2)*(l + 51)/10 What is t in 2*t**5 + 1094*t**4 + 4352*t**3 + 4344*t**2 = 0? -543, -2, 0 Factor -265*x**2/3 - 527*x/3 + 2. -(x + 2)*(265*x - 3)/3 Let -5*r**4 - 5*r**3 = 0. Calculate r. -1, 0 Suppose -4*w**5 + 20*w**4 - 20*w**3 - 20*w**2 + 24*w = 0. Calculate w. -1, 0, 1, 2, 3 Determine f so that 32*f**5/13 + 112*f**4/13 - 222*f**3/13 + 88*f**2/13 - 10*f/13 = 0. -5, 0, 1/4, 1 Let 2*n**4/5 + 12*n**3/5 - 14*n**2/5 = 0. Calculate n. -7, 0, 1 Factor -2*f**3/3 + 104*f**2/3 - 568*f/3 + 736/3. -2*(f - 46)*(f - 4)*(f - 2)/3 Factor 4*n**4/9 + 5756*n**3/9 + 11500*n**2/9 + 1916*n/3. 4*n*(n + 1)**2*(n + 1437)/9 Let -5*b**3/4 - 105*b**2/4 + 270*b + 6075 = 0. Calculate b. -18, 15 What is w in -w**3/2 + 269*w**2/2 - 18995*w/2 + 120127/2 = 0? 7, 131 What is w in 2*w**2/9 - 182*w/9 - 124/3 = 0? -2, 93 Find t, given that 4*t**2 - 352*t = 0. 0, 88 Let 12*i**5 + 148*i**4 + 408*i**3 + 456*i**2 + 220*i + 36 = 0. Calculate i. -9, -1, -1/3 Factor 2*o**2/9 + 670*o/3. 2*o*(o + 1005)/9 Factor g**3/6 + 83*g**2/6 - 169*g/6 + 85/6. (g - 1)**2*(g + 85)/6 Find a, given that -a**3/3 + 17*a**2/3 + 20*a/3 - 12 = 0. -2, 1, 18 Factor 3*q**3/8 + 3*q**2/4 + 3*q/8. 3*q*(q + 1)**2/8 Solve -180*l**2 + 660*l - 605 = 0 for l. 11/6 Solve -3*m**4/8 + 13*m**3/4 + 9*m**2 + 27*m/4 + 11/8 = 0. -1, -1/3, 11 Find c such that -2*c**5/13 - 836*c**4/13 - 87362*c**3/13 = 0. -209, 0 F
{ "pile_set_name": "DM Mathematics" }
5 as j + f*b and give f. 2 Express -12*n**3 + n + 4*n**3 + 6*n**3 + (n + 0*n + 0*n)*(-11*n**2 - 41*n**2 - 187*n**2) as p + q*n**3 + a*n + x*n**2 and give q. -241 Rearrange 42591*x**2 - 42662*x**2 + 18 - 120*x**3 - 18 to the form b + u*x**3 + z*x**2 + p*x and give u. -120 Express 100782*p + 100283*p - 220292*p in the form w + d*p and give w. 0 Rearrange (-130*b**2 + 28*b**2 - 11*b**2)*(-46*b**2 - 37*b**2 - 46*b**2) to t*b + s*b**4 + f + g*b**3 + c*b**2 and give s. 14577 Rearrange (3*d + d - 5*d)*(-54*d + 37 - 37) + 172*d**2 - 2274 + 2274 to y*d + h*d**2 + v and give h. 226 Rearrange (5 - 6*h + 2*h**2 - 5)*(0 + 0 + 1) + (-2318*h - 245*h**2 + 2318*h)*(-1 + 3 - 1) to the form z + p*h**2 + s*h and give p. -243 Express 15956*o + 8051 + 8037 - 16088 as q*o + s and give q. 15956 Express -124 - 338*w**2 + 122 + 282*w**2 + 2322*w**2 + 87*w**2 in the form j*w + l*w**2 + q and give l. 2353 Express -z**3 - 4*z + 6163 - 6045 + 7*z**2 + 3*z in the form t*z**2 + u + x*z + q*z**3 and give u. 118 Express -8*c**2 + 7*c**2 + 32 - 35 + 2*c**4 + c**3 + 8*c**3 in the form r*c**3 + x*c**2 + l*c**4 + n*c + y and give x. -1 Rearrange (-11*p + 6*p**2 + 11*p)*((3*p - p + 4*p)*(1 + 5 - 3) - 2*p + 4*p - 4*p)*(1 + 4 - 1) to the form f*p**3 + t + m*p + u*p**2 and give f. 384 Express 17*z**4 - 223787*z**2 - 4 + 223787*z**2 - 3*z - z**3 as u*z + p*z**3 + b*z**4 + d + s*z**2 and give p. -1 Rearrange -560*l + 1125*l + 0*l**3 - 567*l - l**4 + 51*l**2 + 2*l**3 to the form n*l + c + u*l**4 + t*l**2 + j*l**3 and give u. -1 Rearrange 0*o**2 + 0*o**2 + 2*o**2 + (-2*o + 0*o - o)*(-5712953 + 1391*o + 5712953) to x*o**2 + d*o + b and give x. -4171 Express -1 - 17237*v + 4*v**3 + 196*v**2 - 203*v**2 + 17254*v as a*v + g*v**2 + z + j*v**3 and give z. -1 Express -2*g**2 - 86*g + 781 - 1607 + 794 in the form r*g + m*g**2 + l and give m. -2 Express -9*g**4 - 24*g**4 + 2809*g**3 - 2814*g**3 - 1 - 35*g**4 - 2*g + 2 - 2*g**2 in the form k + c*g**4 + p*g**2 + z*g**3 + f*g and give c. -68 Rearrange (0*o + 3*o - o)*(-34024*o**2 + 540 + 5350*o**2 - 1119 + 579) to the form c + v*o + s*o**3 + d*o**2 and give s. -57348 Rearrange -265*v - 276*v + 518*v - 222*v - 37 - 84*v to the form s + b*v and give b. -329 Express 2*b**4 + 732*b**3 - 1458*b**3 + 1 + 727*b**3 - 209*b**2 in the form h*b**2 + y + q*b + a*b**3 + s*b**4 and give h. -209 Rearrange i**3 + 4 - 47*i**2 - 173*i**4 - 138*i**4 - 179*i**4 + 487*i**4 to u*i**4 + l*i + c + h*i**2 + f*i**3 and give c. 4 Rearrange (0 - 3 + 1)*(18957 - 18957 + 5663*m**3) + m**2 - m**2 - 2*m**3 to the form a + v*m**2 + r*m**3 + n*m and give r. -11328 Express (4*r**2 + 2*r**3 - 4*r**2)*(-1136 - 59 - 73087*r + 73086*r) as g*r + d + s*r**3 + i*r**2 + v*r**4 and give s. -2390 Rearrange 699*m**2 + 49 - 662*m**2 - 60 to b*m**2 + a + i*m and give a. -11 Express l**2 - 598*l**3 + 22*l**2 + 587*l**3 + 5*l**2 + 3*l**2 in the form j*l**3 + n*l**2 + q + d*l and give n. 31 Rearrange 43*c**2 - 24*c**4 + 248 - 120 - 41*c**2 - 125 - 2*c**3 - 2*c to the form l + m*c + p*c**2 + j*c**4 + q*c**3 and give j. -24 Rearrange (-140 + 993 + 924)*(0*i**4 + 2*i**3 + i**2 + 10*i**4 + i**4) to p*i**4 + w*i**3 + q*i**2 + a*i + v and give w. 3554 Rearrange -24*u**4 + 1808 + u**2 - 2*u**3 + 52*u**4 - 1805 to i + q*u + x*u**4 + w*u**3 + z*u**2 and give i. 3 Rearrange -7*b**3 - 3*b**3 + 491 - 4*b**3 - 488 - 5*b**2 to the form h + n*b**2 + x*b**3 + v*b and give h. 3 Rearrange ((-d - 4*d + 3*d)*(2 + 2*d - 2) - 2*d**2 - 3*d + 3*d)*(d + 4*d + 0*d) - 20 + 10 + 2*d**3 + 8 to w + f*d**3 + k*d + t*d**2 and give f. -28 Express (-3 + 3 - 3*q)*(-1 + q + 1) + 28*q - 172*q**2 + 61*q**2 + 66*q**2 + 45*q**2 + 53*q**2 in the form r*q**2 + n*q + y and give r. 50 Express -2*z + 2*z + 2*z + (-5 - z + 5)*(-2 - 5 + 4) - 6 - 8 - 15 - 23*z + 7 - 1 as f + n*z and give n. -18 Express -648*d**2 - 17251*d + 2 + 8622*d + d**4 + 8627*d - 2*d**3 in the form y*d**3 + f*d + g*d**2 + o + n*d**4 and give f. -2 Rearrange (-45646 + 22827 + 22791 - 17*u)*(-u - 2 + 2) to t*u + s + o*u**2 and give t. 28 Express 9*g + 3*g - 7*g + (-2 + 2 + 2)*(18 + 44 + 9)*(-2*g + 2 - 2) in the form i*g + k and give i. -279 Express (-4 + 6 + 0)*(31740*r**2 - 16387*r**2 + 41050*r**2 - 25 + 43 - 18) in the form y*r + x*r**2 + u and give x. 112806 Express -50*g - 57567 - 96*g**3 + 9*g**2 + 57569 + 47*g in the form k + t*g**2 + f*g + h*g**3 and give t. 9 Express (598*n + 580*n - 1182*n + 179)*((-1 + 1 - 2*n)*(-3 + 4 - 2) + 3 - n - 3) in the form y*n**2 + g + o*n and give g. 0 Rearrange (34*v - 17*v + 35*v)*(-201*v**3 - 2*v + 401*v**3 - 177*v**3) to m*v**4 + u*v + d + b*v**2 + l*v**3 and give b. -104 Express -7*s**2 + 53*s + 9*s + 39*s + 41*s**2 + s**2 as f + x*s + u*s**2 and give u. 35 Rearrange -21 - 3*g**3 - 36 + 16 - 24*g**2 - 10*g + 38 to c + b*g**2 + s*g**3 + a*g and give b. -24 Rearrange (-315 + 102 - 96)*((5*q + q - q)*(5 - 1 - 1) + 0*q - 4*q + 6*q) to u + n*q and give n. -5253 Express -2846*z**2 - 149*z + 53*z + 51*z + 45*z in the form c*z + i*z**2 + p and give p. 0 Express 172*u + 168*u + 94 + 10 - 341*u as a + m*u and give a. 104 Express -3*q - 196*q**3 + 211*q**3 + 945*q**2 + 5 - 946*q**2 as i*q**3 + z*q + y*q**2 + n and give y. -1 Express (60 + 41 + 111)*(10*l - l - 4*l) as j + q*l and give q. 1060 Express (0*o**2 + o**2 + 1402 - 207113*o + 207111*o)*(o - o + 2*o)*(0 + 5 - 3) in the form f*o + p*o**3 + t + h*o**2 and give h. -8 Rearrange 4*m**2 + 10*m**2 - 2 - 1 - 105*m**2 - 1 to k + s*m + v*m**2 and give v. -91 Express -6 + 1080*a**4 - 25*a + 0*a**3 + a**3 - 1081*a**4 as u*a**2 + x*a**3 + s*a**4 + l + d*a and give l. -6 Rearrange 1207*p**3 - 4*p**4 + 2088*p + 1 - 2090*p - 1808*p**3 to y + b*p + i*p**3 + t*p**2 + a*p**4 and give y. 1 Express (-74*z + 18*z + 5*z - 70*z)*(-271*z**2 + 4126*z - 4126*z + 1) as s*z**2 + d*z + c*z**3 + p and give d. -121 Express -9897*i - 10012 + 3336 + 3341 + 3335 as f*i + g and give f. -9897 Express -4*h**4 - 5 + 90*h**3 - 5*h**2 - 279*h**3 + 94*h**3 - h + 98*h**3 - 2*h in the form m*h**4 + w*h + q*h**2 + z*h**3 + j and give w. -3 Express -354916 + 354916 + 8396*t as b + g*t and give g. 8396 Express 1017725*t**3 - 6*t**2 - 4*t - 1017717*t**3 + t**2 + 36*t as q*t**2 + a + y*t + l*t**3 and give l. 8 Express (20 + 19 - 15)*(32 - 5 + 11)*(-2*x + 1 - 1)*(2*x - 2*x + x**3) in the form g*x**4 + q*x**3 + a + t*x**2 + h*x and give t. 0 Express (-4 + 9 - 27)*(-42*z**3 - 26*z**3 - 80*z**3) as b*z**2 + u + q*z**3 + l*z and give q. 3256 Express (-d + 3*d - 3*d)*((2*d**2 - 13*d**2 - 6*d**2)*(2*d - d + d) - 15*d**3 + 11*d**3 + 34*d**3) in the form r*d**2 + q*d**3 + l*d + f + v*d**4 and give v. 4 Rearrange (4*p - 2*p + 10*p)*(3 - 5 + 3) - 25*p + 11*p + 15*p + 21 to the form f*p + t and give t. 21 Express -5*d**2 + 136*d + 10 - 19*d**2 + 22 + d**3 - 139*d - 39 as k*d**2 + i + x*d**3 + v*d and give v. -3 Rearrange 2*s**2 - 94 + 201 + 20*s + 0*s**2 + 0*s**2 + 27 to the form i*s + j + t*s**2 and give j. 134 Rearrange (p + 4*p - 3*p)*(-31003 + 14508 + 12754) + 6*p - p + p to the form b + j*p and give j. -7476 Rearrange -4*r**2 + 52*r**3 + 5*r - 55*r**3 + 10*r**2 - 5*r**2 to g*r + x + c*r**2 + l*r**3 and give g. 5 Rearrange (1 - 16*s + 25*s - 57*s)*(-152*s**2 - 5270*s + 5270*s - 2)*(2*s + 3*s - 6*s) to r*s**4 + h + x*s**3 + j*s**2 + m*s and give x. 152 Rearrange (-98 + 536 + 3402 + 1 - 3 + 0 + (3 + 1 - 2)*(-1 + 2 - 2))*(-2*y + 0*y + y) to j + t*y and give j. 0 Express 74*h**3 - 7*h - 203*h**3 + 62*h**3 + 65*h**3 + 18*h**4 - 3 as f*h**3 + g + p*h**2 + l*h + i*h**4 and give g. -3 Rearrange (2*o**2 - 4*o**2 + 3*o**2)*(o + 0*o + o) + 0*o**3 + o**3 + o**3 - 2201*o**3 + 4114*o**3 + 1 - 2275*o**3 to x*o + d*o**3 + b*o**2 + v and give d. -358 Express 1633547 - i - 1633547 - 1280*i**2 as c*i + f + m*i**2 and give m. -1280 Rearrange (69 - 31 + 42)*(-369*v - 5 + 360*v - 3) to m*v + d and give m. -720 Express 2 - 68*v**3 + 248*v**3 - 2*v**4 - 187*v**3 + 26*v in the form l*v + q*v**2 + r*v**3 + p + z*v**4 and give r. -7 Express (-3*g + 3*g + 2*g)*(12 + 16 + 6)*(-3906 - 210 + 784) as q + j*g and give j. -226576 Rearrange -4*x - 19222*x**3 + 38378*x**3 - 4*x**2 - 19202*x**3 to s + v*x**2 + a*x**3 + q*x and give v. -4 Rearrange (-3 + 0 + 1)*(123 - 2*u - 4*u**3 - 86 - 64) - 6*u**3 - u**3 - 2*u**3 to w + t*u**2 + j*u**3 + o*u and give j. -1 Rearrange (-41*o*
{ "pile_set_name": "DM Mathematics" }
r i. -3 Solve 24 = -5*l + 4*i + 83, -2*l + 5*i = -61 for l. 3 Solve 22*k = 33*k - 16*k, c + 4 = 4*k - 0 for c. -4 Solve -8*p + 2*t - 48 = 0, 2*p + 50*t + 14 = 51*t for p. -5 Solve 5*j + 328 = 5*r + 288, -4*r - 20 = -0*r for j. -13 Solve u + 202*p - 9 = 200*p, -3 = 3*u - 4*p for u. 3 Solve -3*g - 24*p + 11 = -26*p, g + p + 13 = 0 for g. -3 Solve 0 = -s - 5*b + 9*b + 8, 0 = -4*s - 4*b + 12 for s. 4 Solve 2*k = 3*u - 7, -2*u = -5*k - 10 - 13 for u. -1 Solve -4*j - 2*a + 7 = 1, 5*j + 6*a + 10 = 0 for j. 4 Solve -m - 597 = -w - 607, -4*m - 3*w = -26 for m. 8 Solve -t = -2*b + 53 - 56, 0 = -3*b + t - 7 for b. -4 Solve 5*i = k + 16, -16*i = 3*k - 13*i - 24 for k. 4 Solve -c + 4*s - 32 + 41 = 0, 14 = 4*c - 5*s for c. 1 Solve 160*x - 163*x = 5*p + 45, 45 = -5*p for x. 0 Solve -5*a + 5*c - 45 = 0, 3*a - 5*c + 16 + 21 = 0 for a. -4 Solve 0 = 5*f - 5*v + 90, -3*v + 88 = -4*f + 20 for f. -14 Solve 2*p = -5*x - 29, 3*p - 5*x + 25 = 44 for p. -2 Solve 16 = o - 6*u, u = 2*o - 2*u + 4 for o. -8 Solve w - 5*u = -6, 6*w + 3*u - 1704 + 1641 = 0 for w. 9 Solve -4*g - 6450*j + 6451*j - 10 = 0, 4*g + 5*j + 46 = 0 for g. -4 Solve -4*r - 4*z = -12, z + 11 = -3*r + 16 for r. 1 Solve -3*d = -3*o - 24, -3*d - 99*o + 14 = -97*o for d. 6 Solve 31*n - 30*n - 6*t + 3*t - 23 = 0, -3*n + 6*t = -45 for n. -1 Solve -5*v = -s - 28, -2*v + 188 = 5*s + 193 for v. 5 Solve -3 = 65*o - 61*o + 9*r, -2*o + 3*r - 9 = 0 for o. -3 Solve 4*z - 21 = r, 329*r = z + 325*r - 24 for z. 4 Solve -27*z + 3*o = -28*z + 20, -5*o + 37 = 2 for z. -1 Solve -41*b + 46*b = u + 67, -2*u + 8*u = 3*b - 51 for b. 13 Solve 0 = 2*z + b - 1, -5*z = -300*b + 291*b - 37 for z. 2 Solve 54 = -203*w + 199*w + 3*q, -4*q + 59 = -w for w. -3 Solve -2*l - 14 = 6*x - 8*x, -5*l - 4*x + 10 = 0 for l. -2 Solve 37*z + 3*n = 41*z + 6, -z - n - 5 = 0 for z. -3 Solve 0 = -4*w + 3*v + 25, -192*w + 194*w - 3 = -3*v - 40 for w. -2 Solve -4*r + 88 = -3*m, 5*m - 300*r = -303*r + 37 for m. -4 Solve 3*x - 17 = 2*i, -11717*i = -11719*i - 2*x + 8 for i. -1 Solve 1136*l + 3*c = 1133*l + 24, 3*l - 29 = -4*c for l. 3 Solve 8*i - 7 = -5*m, -3*m - 2*i = 12513 - 12520 for m. 3 Solve -6*q = -4*g, 668*q - 665*q - 13 = -1 for g. 6 Solve 0 = 3*z + 2*f - 12, -1107*z - 20 = -1106*z - 2*f for z. -2 Solve o = -3*o + 4*b + 12, -3*b = o + 1 for o. 2 Solve -3*m + 27 = -11*s + 16*s, -9 = -m + 5*s for m. 9 Solve -5*p = -3*j - 41 - 15, -5*j + p - 20 = 0 for j. -2 Solve -2*s = -c + 13, 3*s + 32 - 37 = -2*c for s. -3 Solve -2*n + 4*j = 12, -794*n = -799*n - 5*j + 45 for n. 4 Solve -17 = -2*j + 3*h, -16*h + 13*h = 15 for j. 1 Solve -861*i = -859*i - 4*s - 42, 9 = -3*i - 3*s for i. 5 Solve 205 = 6*b + 2*n + 129, b - 5*n - 18 = 0 for b. 13 Solve 0 = -4*c + 5*b + 29, -5*c + 3 = 5*b + 68 for c. -4 Solve l = 3*x + 19, 60*l = 59*l + 4*x + 24 for l. 4 Solve 5*r + 4*c - 111 = 0, -4453*c = 4*r - 4450*c - 83 for r. -1 Solve 3 = -3*x + 405*b - 402*b, -4*b = 4*x - 28 for x. 3 Solve 0 = -3*h + 5*i - 13, -3 = 42*h - 37*h + i for h. -1 Solve 2*t + 8 = 0, 4*t + 28 = 14*h + 6*h - 16*h for h. 3 Solve -5*z - 2*s = -24, -5*z - 163*s + 149*s = 12 for z. 6 Solve -4*f - 16 = 0, 0 = 5*z + 19*f + 75 + 21 for z. -4 Solve 11*o + 3*f + 172 = 176, -o + f = -8 for o. 2 Solve 0 = -26*i + 21*i - 2*u + 24, 0 = i - 3*u + 2 for i. 4 Solve 3*m = 5*i - 45 + 25, -7*i + 1 = m - 1 for m. -5 Solve 32*d + 5*n + 14 = 30*d, -4*d - 3*n = 0 for d. 3 Solve 5*n - 2*l + 37 = 0, 214*n - 219*n + 3*l - 38 = 0 for n. -7 Solve 485*d + t = 487*d, -3*d - 2*t + 7 = 1 - 8 for d. 2 Solve 6*k + 30 = -4*b, 943*k - 26 = 3*b + 944*k for b. -9 Solve 0 = -4*s + 3*n - 59, 3*s + 288 = -795*n + 807*n for s. 4 Solve 2 = 4*w + 2*p + 8, 0 = 4*w + 8*p + 36 for w. 1 Solve 0 = 5*l - 5*o + 30, 5*l + 5*o - 30 + 0 = 0 for l. 0 Solve -u - 4*k = -17, 3*u + 8*k = 5*k + 15 for u. 1 Solve 757 = -2*p - 5*k + 768, -5*k + 35 = 5*p for p. 8 Solve -13*r - 8*v = 22*r - 40*r - 60, -5*v + 25 = 0 for r. -4 Solve 30 = b + 5*u, -7206*u = -b - 7202*u - 15 for b. 5 Solve 4*f + 602*k - 601*k = 14, 10 = f - 3*k for f. 4 Solve -4*h = 2197*j - 2200*j - 43, -3*j = 3*h + 57 for j. -17 Solve 3*q - 48 = 5*c - 24, 4*q - 12 = 0 for c. -3 Solve 14 = -5*f - a, -2*f + 15430*a = 15428*a - 4 for f. -2 Solve 2*r + 4*v = -34, 0 = -5*r - 5*v + 57986 - 58036 for r. -3 Solve 52 = 5*d - 365*l + 369*l, d - 68 = -4*l for d. -4 Solve -64*y + 69*y = -2*h + 24, 4*h - 16 = -2*y for h. 2 Solve 4*j - 323 = 3*f - 239, -2*f = 8 for j. 18 Solve -5*g = -4*y - 532 + 600, 3*g - 24 = -3*y for g. -4 Solve -5*k = -4*n + 210 - 200, 2 = -k - n for k. -2 Solve j + 2*t = -7, 0 = -4*j - 28*t + 27*t + 14 for j. 5 Solve 1296*c = 1291*c + 2*x + 15, 3*c = x + 9 for c. 3 Solve 4*n = 7*t + 3*n - 7, 3*n + 5 = 5*t for t. 1 Solve 2*r = -17678*d + 17681*d - 7, -4*d = 2*r - 28 for r. 4 Solve y = 4*g + 19, 18*y - 46 = 17*g - 19*g for g. -4 Solve 0 = -4*d + u - 53 - 20, 4*u - 54 = 2*d for d. -17 Solve 0*l - 4*l + 4*v = 36, -2*l + 22 = 3*v for l. -1 Solve -m = -4*b + 23, 124*m - 6*b = 122*m - 40 for m. -11 Solve 13*d - 11*d + 3*m + 9 = 0, 0 = 4*d - 2*m + 42 for d. -9 Solve -2*k + 7 = -3*a, -2*k + 4*a + 646 - 634 = 0 for k. -4 Solve i + 2896 = -z + 2908, -4*i = -3*z - 48 for z. 0 Solve -5*f + 55 = 5*k, -459*f - 2*k + 24 = -455*f for f. 1 Solve -2630*t = -3*p - 2625*t + 56, 0 = -4*t - 5 - 11 for p. 12 Solve -4*l = 4*g - 20, 4*g + 12 = -2*l + 22 for g. 0 Solve 3*m + 6 = -4*h, 205*h + 212*h - 414*h = -5*m + 1 for m. 2 Solve 26*g + 11*y = 31*g - 2, 4*g - 4*y + 8 = 0 for g. -4 Solve 0 = 4*o + 3*f + 196 - 158, -4*o - 36 = 2*f for o. -8 Solve -2*s - 23431 = -2*p - 23411, 80 = -p - 5*s for p. -5 Solve -4*t = 4*z - 52, -756*t + 755*t = 4*z - 58 for z. 15 Solve o - 20 = -4*p, -2*p - 5*o + 17 = -11 for p. 4 Solve 18*n + 4 + 2 = 3*y, -2335*n + 2333*n = -3*y - 10 for y. -4 Solve 3*l - 16 = 2*v, 4*v + 3*l = -209 + 213 for v. -2 Solve 4*c = -3*u - 10, 2*u + 74*c = 66*c + 20 for u. -10 Solve 4*i + 21*m - 47 = 18*m, 16*i + 5*m = 209 for i. 14 Solve 3*b - 4*t + 403 - 443 = 0, 14 = -2*t for b. 4 Solve 2*g = 4*p + 2 - 0, 72*p + 77*p + 763 = -2*g for p. -5 Solve -4*w - 2401*i = -2403*i - 50, 28*i = w + 15 for w. 13 Solve -8877*x - 53 = -4*i - 8872*x, 2*i - 10*x - 94 = 0 for i. 2 Solve 2*t = 5*c + 17 - 59, 0 = 5*t - 5*c + 75 for t. -11 Solve -4*c + 24 = 165*u - 173*u, 5*u + 15 = -5*c for c. 0 Solve 4*l = -4*x + 419 - 415, -3*l - 21 = -3*x for x. 4 Solve x - 4 = -u, 1997*x + 8 = 7*u + 1994*x for u. 2 Solve 0 = 213*c - 218*c + u + 4*u - 15, u = 3*c - 7 for c. 5 Solve 0 = -34*h + 33*h - 1, -4*b + 1 = -h for b. 0 Solve -5*v = -19*w + 58, -382 = v + w - 380 for v. -4 Solve 5*z - 4*f = 26, -40*z = -18*z - 21*z + 5*f + 18 for z. 2 Solve 2*v - 4 = -3*u, -1295*u + 1300*u - 2*v = -20 for u. -2 Solve -2*b = 3*d - 12, 2*b + 4*d - 38 = -22 for b. 0 Solve 2 = -2*j - 3*x, -3*j - 34 + 26 = 2*x for j. -4 Solve 9 = l - 3*u, l + 103*u + 18 = 97*u for l. 0 Solve 2*u - 40 = -3*h, -21*u = -19*u + 2 for h. 14 Solve -4*g - 2*m = 18, -2*g + 5*m + 746 = 737 for g. -3 Solve 15 = 6*j - 3*f, 6*f - 4*f = 3*j - 6 for j. 4 Solve -9*b - y = -104, 220 = 19*b - 2196*y + 2198*y for b. 12 Solve -v + 4*g = 0, 2*v - 198*g + 206*g - 16 = 0 for v. 4 Solve 73*m + 6 = -5*a + 76*m, -4*m - 6 = -2*a for a. -3 Solve -4*h - 4 = -f, 8*h + 8 = -10*f + 13*f for h. -1 Solve 0 = -5*q - 3*o - 42, -998*o + 1002*o = -2*q - 14 for q. -9 Solve x + 54*o + 158 = 0, 2*x - 1057*o = -1053*o + 20 for x. 4 Solve -22*r + 27*r - 25 = -5*w, -7*w - 3*r - 1 = 0 for w. -4 Solve -2*r + 5*v - 93 = 0, 2*r + 2*v = -596 + 622 for r. -4 Solve -14*g = -3*u - 8, -2271*g + 2267*g - 3*u = -10 for g. 1 Solve -2*o + 3*f = 3, -o = 2*f + 509 - 518 for o. 3 Solve 110*p = 20*i + 106*p + 92, 3*i + 2*p + 19 = 0 for i. -5 Solve 2422*b + 5 = 5*n + 2417*b, -5*n + 4*b + 3 = 0 for n. -1 Solve 2*p - 35 = -41, -4*x + 13 = -7*p for x. -2 Solve 1 = -y + 4*z, -686*y + 685*y - z = 6 for y. -5 Solve -v + 13 = 2*k, -291*k = 5*v - 288*k - 30 for v. 3 Solve 0 = 98*x - 94*x + 4*z + 32, 5*x = -z - 20 for x. -3 Solve -x - 2 = -2*n, -3*x + 4*n - 278 = -276 for x. 2 Solve 4*o + 13 = -3*m, -43*o = -3*m - 48*o - 14 for m. -3 Solve 0 = 3*k - 2*d - 3, -4*k + 5*d = -730 + 726 for k. 1 Solve -3*z + t = 16, -12*z - 71 = 2*t - 31 for z. -4 Solve 476 = -2*m + 4*a + 472, -6*m + 12 = -4*a for m. 4 Solve 23*c + 4*s = 28*c - 61, -3*s = -5*c + 52
{ "pile_set_name": "DM Mathematics" }
**3/33 - 48*v**2/11 + 6*v - 42. Suppose a(c) = 0. Calculate c. -6, 8 Let d be ((-20350)/34188)/(10/(-24)). Factor 2/7*i + 8/7 - d*i**2. -2*(i - 1)*(5*i + 4)/7 Let k = -7369/2 - -3686. Factor 1/2 - 3/2*t + k*t**2 - 1/2*t**3. -(t - 1)**3/2 Suppose -4*d + 29 = 2*v + v, 0 = 2*v + 4*d - 26. Suppose 15 = 3*g - v. Factor 3*y**4 - g*y**3 + 3*y**4 - 3*y**4. 3*y**3*(y - 2) Let q(w) = -w**2 - 2*w + 6. Suppose -4*g - 80 = -68. Let i be q(g). Factor 2/3*v**i + 0*v + 2*v**2 - 8/3. 2*(v - 1)*(v + 2)**2/3 Determine l, given that 2/9*l**3 + 0 - 8/9*l**2 + 0*l = 0. 0, 4 Suppose -170*s - 64*s**2 + 5*s**5 + 49*s**4 - 15*s**3 - 201*s**2 + 36*s**4 = 0. Calculate s. -17, -1, 0, 2 Let y(q) = q**2 + 13*q - 50. Let m be y(-14). Let s be (-188)/m + 30/(-6). Solve 0*h + 0*h**4 + 2/9*h**3 + 0 + 0*h**2 - s*h**5 = 0 for h. -1, 0, 1 Let h be ((-176)/(-264) + 26/(-21))/(10/(-70)). Solve -c**5 - 7/2*c**3 + 7/2*c**h + c**2 + 0 + 0*c = 0. 0, 1/2, 1, 2 Let a be (27/(-2))/(187/(-544)). Let u = a + -3778/99. Determine s so that -u*s + 2/9*s**3 - 2/3*s**2 - 4/9 + 2/9*s**4 = 0. -1, 2 Let j = 565 + -11299/20. Let m(k) be the second derivative of k - 3/10*k**2 - j*k**4 + 0 - 1/5*k**3. Determine c, given that m(c) = 0. -1 Let n(i) = i**3 - 27*i**2 + 363*i - 1337. Let r(z) = -z**2 + 3 - 2 - z**2 + z**2. Let y(l) = -n(l) - 6*r(l). Determine c so that y(c) = 0. 11 Let o be (120/(-300))/((-2)/10). Let n(b) be the first derivative of 1/12*b**3 - 9 + 1/4*b**o + 1/4*b. Suppose n(q) = 0. Calculate q. -1 Let g = 54 - 28. Let b be (5 - 3) + g/(-14). Factor 1/7*l**3 + 0*l + 0 - 2/7*l**4 + b*l**5 + 0*l**2. l**3*(l - 1)**2/7 Let r be ((-1605)/5350)/(-1 + 15/8 + -1). Factor 8/5*l**2 + 4/5*l**4 + 0 - r*l**3 + 0*l. 4*l**2*(l - 2)*(l - 1)/5 Let x = -68 - -56. Let u(a) = -8*a**3 + 52*a**2 + 20*a - 40. Let w(j) = -3*j**3 + 21*j**2 + 8*j - 16. Let h(p) = x*w(p) + 5*u(p). Factor h(m). -4*(m - 2)*(m - 1)*(m + 1) Factor 76*i**4 + 78*i**4 - 218*i**4 + 76*i**4 + 40*i**2 + 46*i**3 - 8*i. 2*i*(i + 2)**2*(6*i - 1) Suppose -h - 4 = -0*h, 4*h + 6 = -2*p. Let k = -57/196 - -51/49. Let 3/4*i**p + 9/4*i**2 - 3/2*i - 9/4*i**4 + 0 + k*i**3 = 0. Calculate i. -1, 0, 1, 2 Let d(x) be the first derivative of -x**5/12 + 25*x**4/18 + 55*x**3/18 - 20*x + 12. Let l(v) be the first derivative of d(v). Suppose l(f) = 0. What is f? -1, 0, 11 Suppose -5*y - 6 + 91 = 0. Suppose o - 11 = -3*d, o + d = -4*d + y. Determine b, given that 10*b**3 + 0*b**4 + 7*b**2 + 10*b + 4 + 4*b + 11*b**o + 2*b**4 = 0. -2, -1 Suppose p = 1 + 1. Let d(z) = 12*z**2 + 27*z - 12. Let g(h) = -h**2 - 2*h + 1. Let i(m) = p*d(m) + 27*g(m). Factor i(c). -3*(c - 1)*(c + 1) Let g(q) be the first derivative of -5*q**3/3 + 105*q**2/2 + 110*q + 128. Factor g(j). -5*(j - 22)*(j + 1) Let a = -2 + 2. Let u = 6353 + -6349. Suppose 3/4*v**u + a*v - 1/2*v**3 + 0 + 0*v**2 - 1/4*v**5 = 0. Calculate v. 0, 1, 2 Let n be (-4)/(-6)*(-4 + (-285)/(-60)). Let n*t**2 - 1/2*t**4 - t**3 + 0 + t = 0. What is t? -2, -1, 0, 1 Let i(x) = x**3 + 9*x**2 + 4*x + 4. Let f be i(-5). Suppose -2*a - 30 = -f. Solve -w**2 - 2*w**2 - a*w + 18*w = 0. -3, 0 Suppose a = -0 + 16. Suppose -4*s + 4*s**2 + 20*s**3 - a*s**3 - 4 + 0 = 0. Calculate s. -1, 1 Let f(i) = i**4 + 5*i**3 + 12*i**2 + 8*i - 5. Let p(v) = 2*v**3 + 6*v**2 + 4*v - 2. Let l(y) = -2*f(y) + 5*p(y). Factor l(o). -2*o*(o - 2)*(o + 1)**2 Let n(s) be the third derivative of s**6/60 + 109*s**5/30 - 3*s**2 - 87. Suppose n(d) = 0. What is d? -109, 0 Suppose 0 = 5*x - 2*x + 630. Let h = x + 1056/5. Factor -2/5*u**2 + 0*u - 4/5*u**5 + h*u**4 + 0 + 0*u**3. -2*u**2*(u - 1)**2*(2*u + 1)/5 Let j = 18242 + -18240. Factor -1/6*s**j - 2/3*s + 5/6. -(s - 1)*(s + 5)/6 Suppose 3*w - 9 - 9 = 0. Find a, given that 0 + 6 + 12*a - 6*a**2 - 3*a - 3*a**3 - w*a = 0. -2, -1, 1 Determine r so that -33/2 - 21/8*r**2 - 3/8*r**3 + 15*r = 0. -11, 2 Suppose -148/5*x - 2/5*x**2 - 2738/5 = 0. Calculate x. -37 Let d(a) be the second derivative of 0 - 1/50*a**5 - 7*a - 2/15*a**3 - 1/10*a**4 + 0*a**2. Suppose d(l) = 0. What is l? -2, -1, 0 Let h(v) = v**2 + 7*v + 12. Let y be h(-6). Suppose -4*z + z = -y*z. Find q, given that z - 3/7*q**2 - 6/7*q = 0. -2, 0 Let h be (-32)/(-18) + (-94)/(-423). Let r(v) be the second derivative of 3/8*v**h + 12*v - 1/16*v**4 + 0*v**3 + 0. Factor r(z). -3*(z - 1)*(z + 1)/4 Let i(u) be the third derivative of 0 - 1/15*u**5 + 0*u**4 + 0*u + 2/3*u**3 + u**2. Factor i(m). -4*(m - 1)*(m + 1) Suppose 3*f = 6*f - 9. Solve -8 + 11*x**2 + 0*x + x**3 - f*x**3 + 2*x - 3*x**2 = 0. -1, 1, 4 Let l(o) be the third derivative of o**8/1008 - 17*o**7/630 + 7*o**6/40 + 9*o**5/20 + o**2 - 12*o. Find i such that l(i) = 0. -1, 0, 9 Suppose -14 + 50 = -18*o. Let j be 3/o - (-14 + 12). Factor 1/2*c**3 - c + 3/2*c**4 + 0 - 3/2*c**2 + j*c**5. c*(c - 1)*(c + 1)**2*(c + 2)/2 Let o be -11*(-1 + 23)*(-1)/(2 + 7). Factor -o - 44/9*l - 2/9*l**2. -2*(l + 11)**2/9 Let t(w) = 6*w**2 - w + 6. Suppose -96 + 52 = 4*c. Let p(d) = d**2 + 1. Let j(h) = c*p(h) + 2*t(h). Determine b so that j(b) = 0. 1 Let h(j) be the second derivative of j**5/120 + 17*j**4/36 + 65*j**3/36 + 8*j**2/3 - 179*j + 2. Factor h(o). (o + 1)**2*(o + 32)/6 Let n(k) = k**2 - 104*k. Let d(b) = 3*b**2 - 217*b. Let v(q) = 2*d(q) - 5*n(q). Factor v(r). r*(r + 86) Let f be (4 + -4)/(-1 - -2). Suppose f*z - 2*z - 5*n + 10 = 0, -3*z - 5*n = -15. Let -4*g**2 - 5*g**3 + 3*g**2 + g**3 + g**4 + z*g**3 - g = 0. What is g? -1, 0, 1 Let m be 0 + 3 - (4 + -1). Suppose m = -d - 3*x + 6*x + 13, 5*x - 120 = -4*d. Let 13*v**2 + 5*v**3 + 7*v**2 - 8*v + 8*v**2 - d*v**3 = 0. What is v? 0, 2/5, 1 Let d be -6 - 671/(-66) - 4. Let k(f) be the second derivative of -7*f + 1/135*f**6 - 7/27*f**3 + d*f**4 - 1/18*f**5 + 2/9*f**2 + 0. What is a in k(a) = 0? 1, 2 Let w(i) be the first derivative of -2/3*i**3 - 3*i - 5/2*i**2 + 46. Find v such that w(v) = 0. -3/2, -1 Factor 0*s - 2/15*s**3 + 0 - 2/15*s**5 + 0*s**2 - 4/15*s**4. -2*s**3*(s + 1)**2/15 Let n(d) = d**3 + 5*d**2 - 14*d + 6. Let a be n(-7). Determine x, given that -2*x - 8*x**2 + a - x**3 + 8*x + 30 - x**3 = 0. -3, 2 Let y be (-17850)/(-3458) + (-2 - -3*1). Let o = 120/19 - y. Factor 0 + o*r**2 + 6/13*r. 2*r*(r + 3)/13 Suppose 9 = 3*a - 2*j, 8*a - 15 = 3*a - j. Let h(x) be the third derivative of 0 + 5*x**2 + 0*x - 5/8*x**4 - 3/2*x**a - 1/20*x**5 + 1/40*x**6. Factor h(y). 3*(y - 3)*(y + 1)**2 Let c(u) be the third derivative of u**6/30 + 2*u**5/5 - 2*u**2 - 14. Solve c(f) = 0. -6, 0 Factor -1/9*h**5 - 169/9*h**3 + 0*h**2 + 0 + 0*h + 26/9*h**4. -h**3*(h - 13)**2/9 Let r(n) be the first derivative of -4*n**3/3 + n**2/2 + 10*n - 1. Let z(q) = 3*q**2 - q - 7. Let u(m) = -5*r(m) - 7*z(m). Factor u(p). -(p - 1)**2 Let i be (-16)/12*(-9)/(-21)*70/(-12). Factor 20/3*g**2 - 10/3*g - 20/3*g**3 + i*g**4 - 2/3*g**5 + 2/3. -2*(g - 1)**5/3 Let r(v) be the first derivative of -65/2*v**2 - 10*v + 9*v**5 - 18 - 115/3*v**3 - 15/4*v**4. Let r(u) = 0. Calculate u. -1, -1/3, 2 Find o, given that 2 + 2244*o**2 + 2 - 2248*o**2 + 4*o**3 - 4*o = 0. -1, 1 Let w(g) be the third derivative of 0*g + 0 + 0*g**5 + 1/8*g**4 + 32*g**2 - 1/120*g**6 - 1/3*g**3. Factor w(y). -(y - 1)**2*(y + 2) Find o such that 8/3*o + 4/3*o**4 + 80/9 - 68/9*o**2 - 2/9*o**5 + 2/9*o**3 = 0. -2, -1, 2, 5 Let n(g) be the second derivative of -6*g + 0*g**2 + 0 - 5/24*g**4 - 1/16*g**5 - 5/24*g**3. Factor n(a). -5*a*(a + 1)**2/4 Let f(z) be the first derivative of -1/2*z**4 - 8 - 14/9*z**3 - 2/3*z**2 + 5/9*z**6 + 0*z + 14/15*z**5. Determine v so that f(v) = 0. -1, -2/5, 0, 1 Let v(p) be the second derivative of 9*p**2 - 15*p + 0 - 3/2*p**4 + 1/3*p**3 - 1/10*p**5. Factor v(g). -2*(g - 1)*(g + 1)*(g + 9) Let p = -862 - -862. Let v(l) be the third derivative of 0*l + 0*l**3 - 1/5*l**5 - 8*l**2 + p - 1/3*l**4 + 1/6*l**6. Solve v(x) = 0. -2/5, 0, 1 Let q(y) be the first derivative of -y**6/180 - y**5/45 + y**4/36 + 2*y**3/9 - 29*y**2/2 + 16. Let f(b) be the second derivative of q(b). Factor f(k). -2*(k - 1)*(k + 1)*(k + 2)/3 Let a be 2/(1 + -2) + 110/50. Let f(m) be the first derivative of 0*m**2 + 1 + 2/3*m**3 + 3/4*m**4 + 0*m + a*m**5. Solve f(v) = 0 for v. -2, -1, 0 Let p(s) be the second derivative of -1/3*s**4 + 0 + 1/10*s**5 + 0*s**2 + 1/3*s**3 + 36*s. Factor p(d). 2*d*(d - 1)**2 Solve -1/6*p**3 - 55/2*p**2 - 166375/6 - 3025/2*p = 0 for
{ "pile_set_name": "DM Mathematics" }
3*u + 0*u - 831 = -3*o, -u - 4*o = 287. Let l(z) = z**3 + 3*z**2 - 12*z + 12. Let p be l(-10). Let g = u - p. Is g a composite number? True Suppose -41 = -3*b + 502. Let g = -584 + b. Let m = g - -696. Is m composite? False Let d(w) = 2*w**2 + 31*w - 11. Let f be d(-16). Suppose 71 = g - h + 8, f*g = 3*h + 323. Is g a composite number? False Let q be (87/2)/(2/4). Let t = q - -26. Is t a prime number? True Let k = -225 - -245. Let x = 49 - -48. Let o = x - k. Is o a composite number? True Suppose 4*q + 5*h + 10996 = h, 4*q - 2*h = -10996. Let k = q - -101. Is k/(-24) + (-4)/(-6) prime? False Suppose t - 2*m = -6*m + 20, -2*t + 4*m - 20 = 0. Suppose -2*z + 65 = -w + 202, t = 3*w - 3*z - 402. Is w composite? False Suppose 4*p + 2*x - 23870 = 28050, -4 = x. Suppose -q + 6491 = d + 4*q, 0 = 2*d + q - p. Is d a prime number? True Let u(j) = -j**3 + 21*j**2 + 3*j - 2. Is u(17) a composite number? True Let c(w) = 32*w**2 + 2*w - 7. Is c(-4) prime? False Let p(a) = 8*a**2 + 6*a - 7. Suppose 5*q = -q + 48. Is p(q) a prime number? False Let b = -73 - -695. Suppose b = 5*i - 4168. Is i prime? False Is 3/(((-126)/19663)/(-6)) a composite number? True Let n = -1527 - -29650. Is n prime? True Suppose 10*w + 631216 = 26*w. Is w composite? False Let f be (-1 - -12) + 6/(-24)*0. Let t = 514 - f. Is t a composite number? False Let q be ((-8)/(-5))/(24/60). Suppose 0 = q*v - 6*v + 194. Is v a composite number? False Suppose c - 42 = -2*c. Suppose 5*m - c = -2*o, -5*o - 3*m + 9 = -7. Is 4/6*2121/o composite? True Is (2/(-5))/(2/(-119585)) composite? False Is ((-51268)/(-49) - 6/21) + -3 a composite number? True Let j = -16 - -5. Let t = -26 + 74. Let x = j + t. Is x composite? False Suppose -2*r - 40 = 24. Let n(a) = -6*a + 7. Let g be n(3). Let k = g - r. Is k a prime number? False Let i(j) = 225*j**2 + 15*j - 23. Is i(9) prime? False Is 3969756/308 - (-2)/11 a prime number? True Is 406 - (-5)/(-20)*-4 a composite number? True Let z(b) = 2*b + 11. Let c be z(-3). Suppose -4*m - 4389 = -c*t, t + m - 3*m = 879. Is t prime? True Suppose 0 = -2*c - u + 3303, -6*u - 88 = -4*c + 6510. Is c a composite number? True Suppose 5*w - 3*k = 4*w - 203, -3*w + 5*k - 629 = 0. Let a be (-2)/8 + 1636/16*5. Let n = a + w. Is n composite? False Suppose -1169 = -2*l - 4*h + 3*h, 4*l - 2303 = 5*h. Suppose -k - 3*k = 3*p - 2342, -k + p + l = 0. Let c = k - 207. Is c prime? False Let o = 2501 - 1519. Suppose 3*d = -3, 2*d = x - 3*x + 1364. Let q = o - x. Is q a composite number? True Suppose -31*d + 464 = -27*d. Let m = 827 + d. Is m composite? True Suppose -4*l + 27 - 15 = 0. Suppose 5*b + l*t - 3323 = -t, 2*b - 3*t - 1343 = 0. Is b a prime number? False Let r be 93/9 + (-2)/(-3). Suppose 0 = 10*d - r*d + 89. Is d a prime number? True Let r = -612 - -16865. Is r a prime number? True Suppose 41 = -4*o + n + 3719, n + 921 = o. Is o a composite number? False Suppose -14798 = -c + i, -5*c + 44*i + 73987 = 42*i. Is c composite? False Let b(c) be the second derivative of 29*c**4/4 - c**3 - 3*c. Let l be b(4). Let h = l - 599. Is h composite? False Suppose 3*n - 3294 = 2*i - n, 5*n + 6575 = -4*i. Is i/(-21) - (-4)/6 a composite number? False Let i(v) = 1120*v**3 - 5*v**2 + 7*v + 5. Is i(4) prime? True Suppose 4*o - 12 = 0, 4*o = m - 0*m + 2. Suppose -2*g + 1502 = 2*u, 0*g = 5*g - m. Is u a prime number? False Let q = -133519 - -305798. Is q prime? True Let u(o) = o**2 - 6*o - 3. Suppose -5*p = 5*m - 40, m + 1 = -2*p + 16. Let f be u(p). Suppose 220 = -f*t + 8*t. Is t composite? True Suppose -13*w + 11*w = -5122. Let g = 4792 - w. Is g a composite number? True Suppose 3 = 2*z - 5. Suppose -4*g - 670 = -5*g + 2*v, z*v - 1308 = -2*g. Is ((-8)/4)/((-4)/g) a prime number? True Let h = -965 - -22668. Is h composite? True Suppose 0 = -4*a + 4*t + 524, 9*t = 2*a + 11*t - 270. Is a composite? True Let z = -15 + 18. Let n be z + 120 + -3 + -2. Is (n/(-3))/(4/(-6)) composite? False Let n = 32574 + -13471. Is n prime? False Let q = -74 - -341. Is q a composite number? True Let l(t) = -41*t**2 + 8*t + 4. Let a be l(-3). Is (-1)/((-4)/a)*-4 prime? True Let t be (2 - 6/3)/1. Let h be 2 + t + -65 + 5. Let z = -21 - h. Is z composite? False Let w(l) = -2*l**3 - 10*l**2 - 5*l + 8. Suppose 37 = -3*d + 5*y, 2*d + 3*y - 24 = 4*d. Is w(d) a prime number? True Let b = -229 - -492. Is b a prime number? True Let j be (-9)/2 + (-1)/(-2). Let l(w) = 10*w - 7. Let q be l(3). Let n = j + q. Is n a prime number? True Let l = -4 - -1. Let k be 3 + 3/(l/1). Suppose -32 = 2*y - 2*z - 288, -k*y - 4*z = -250. Is y composite? False Let d(b) = -70*b**2 - b - 2. Let t be d(-2). Suppose 0 = 2*j - 571 - 651. Let v = t + j. Is v composite? False Let k(v) = -115*v + 145. Is k(-28) a prime number? False Suppose -5*i + 8107 = -d, -4*i - d = -5*i + 1623. Let t = i + -1038. Is t a prime number? False Suppose 17*f - 137665 = 12*f. Is f prime? False Let y be 3 - (-2)/10*0. Suppose -3*u = -y*h - 2*h + 3439, 8 = 4*u. Is h composite? True Let x be (3 + -6 + 7)*1. Let n(h) be the first derivative of 9*h**4/4 + h**2 + 3*h + 15. Is n(x) composite? False Let l = 205 + -526. Let z be 2/(-8) - (-777)/4. Let v = z - l. Is v a prime number? False Let c(w) = 64*w**2 + 3*w + 3. Let j(x) = -5*x**2 + 6*x**2 + 2 - 3. Let s(v) = c(v) + 2*j(v). Is s(-3) prime? False Is (0/4 + -5 - -8231) + -3 composite? True Suppose -c - 4*s + 14 = 0, 0 = 5*s + 2 - 17. Suppose -3*a = c*a - 15. Suppose 0 = -5*m - w + 4770, m + 0*w + a*w = 940. Is m prime? False Suppose 0 = 3*q + 9, 0 = -2*c + c - 2*q + 1556. Suppose -2*j + 383 = -0*d + d, 0 = 4*d + 2*j - c. Is d a prime number? False Suppose 4*i = -4, j + 9613 = 4*j + 2*i. Suppose -5*t + 4*b - j = -12194, 0 = -4*t + 4*b + 7188. Is t prime? True Let l = -51 - -53. Is (l - 0)/6 - (-9190)/15 prime? True Is 38824/3 - (-2 + 7/3) composite? False Suppose -31526 = -2*t + 2*i, -5*t - 22*i + 24*i = -78827. Is t a prime number? True Let s(q) = q**3 + 26*q**2 - 20*q + 115. Let b be s(-26). Let l be 4 - (1 - 0)*-1. Suppose 80 = l*v - b. Is v composite? True Suppose 2*t + 10 = 5*m, 0*m + t = -m + 9. Let s be m*(-12)/(-16)*189. Suppose 5*y - 3*h = s + 62, 3*h = -2*y + 260. Is y composite? False Suppose 2*v - 5*s + 1038 = 6*v, 6 = -3*s. Suppose -r + 2*r = v. Suppose -l = -3*l + r. Is l a composite number? False Let l be (24/15 + -1)*5. Suppose 0 = -l*c + 2*c. Is 234/6 + (c - 2) a prime number? True Suppose 32*g - 101688 = 8*g. Is g composite? True Is 2/(-6) + (-6 - 101328/(-18)) prime? True Let d = 1224 - 772. Let v = d + -261. Is v prime? True Let y be (-117)/18*(-22 - 0). Suppose q = z + y, 8 = 5*z - 2. Suppose 5*h = 40 + q. Is h a composite number? False Let f(w) = 153*w - 6. Let c be f(-10). Let p = -769 - c. Is p prime? False Let b(f) = f + 5. Let z be b(0). Let p = 4 - z. Is p/(((-2)/(-2))/(-89)) a prime number? True Suppose 10*u + 10788 = 13*u. Let y = -2197 + u. Is y a composite number? False Let q be (-18)/(-8) + 1/(-4). Suppose 5*t - 4*c + 3 + 2 = 0, -q*c + 1 = -t. Let i = t - -12. Is i a prime number? True Let l(u) = -2*u**3 + 9*u**2 - 17*u. Let k be l(-10). Let z = -313 + k. Is z a prime number? False Suppose -12 = 3*o, -2*v - 4*o + 1 = 17. Suppose -5*l + 8*l - 93 = v. Is l a composite number? False Suppose 3*m - 20 - 1 = 0. Let h be (-3)/30*6 + 986/10. Suppose m*g + h = 9*g. Is g a composite number? True Suppose 0 = -4*w + d - 5*d - 20, -w + 5*d = -25. Let s be -3 - -3 - (6 + w). Is 1 - 1*s*43 a composite number? True Let v be 7/2*(-64)/(-56). Suppose -3*f + 8027 = v*j, 0 = 5*f - 4*f + 2*j - 2673. Is f composite? True Let b(o) = -o**3 + 6*o**2 + o + 319. Is b(0) composite? True Suppose 0*g + 28 = 7*g. Suppose f - 5*i = 395 + 40, 3*f = -g*i + 1343. Is f prime? False Suppose 0 = -5*b + 2*t + 583847, -2*b + 1116 = -4*t - 232410. Is b composite? True Let v be ((-2502)/(-4) + 2/2)*6. Suppose -v = -6*l - l. Is l composite? True Suppose 7833 = b - 2*v, 4*b = -10*v + 8*v + 31312. Is b composite? False Suppose 27*v - 35553 = 24*v. Is v composite? True Let m(c) = c**2 + 12*c - 9. Let b be m(-13). Is (b + -3154)/(-5) - -1 composite? False Let u = -114 + 191. Let z(g) = 3 + u*g - 5 + 18*g - 4. Is z(5) a composite number? True Let n(l) = 21*l**2 - l + 7. Let f(s) = -s**2 - 12*s - 15. Let b be f(-10). Is n(b) composite? True Let u(m)
{ "pile_set_name": "DM Mathematics" }
30*-5). Let k = a + 254. Solve n - k*d + p = -1, -n + 1 = 4*d for n. -3 Let k be (7 + (-595)/68)*2*(-20)/14. Let s = 7 + -2. Solve o - s + 1 = k*y, 4*o = 2*y + 16 for o. 4 Suppose 0 = -r + 12*t - 10*t + 21, -3*t + 21 = r. Let x be (-35)/r*(-60)/25. Solve 3*o = 5*y + 13, -2*o - x = -2*y + 5*y for y. -2 Let k be (-68)/238 - (23/7)/(-1). Suppose 4*u - 21 = -k*j, 1 = -5*j + 16. Solve q - 6 = -u*i - q, -5*i - 3 = -q for i. 0 Let t = -19786 + 19804. Solve 5*z - t + 28 = 5*n, -5*z - 2*n = 10 for z. -2 Let g be ((-4)/(-5))/((-2)/(-20)). Let l(y) = 7*y**2 - 24*y + 149. Let r be l(7). Let i = r + -320. Solve g = i*q, 4 = -4*f + 2*f - 2*q for f. -4 Let z = -910 - -924. Solve -5*s - 15 = 0, 0*r - 4*s - z = r for r. -2 Let d be (-2 + -4)*7/(-2). Let g(j) = 22*j**2 + 4*j - 85. Let n be g(7). Let m = n + -1016. Solve 3*i = -5*y + 31, -4*y - m = -2*i - d for y. 5 Let v(o) = 2*o**2 - 3*o**2 + 8655*o - 8642*o - 37. Let h be v(8). Solve -h*d - 2*a + 0*a + 11 = 0, -5*a - 20 = -2*d for d. 5 Let u(n) = -27*n - 779. Let q be u(-29). Suppose -5*o = -10*o + 10, -4*z + 12 = -4*o. Solve -3*p = z*y + 20, -p + 0*p + q*y = -16 for p. 0 Suppose 32 - 37 = -s. Suppose -c = -5*c + s*c. Solve 3*g + f - 20 = c, -4*g + 6*f = 2*f for g. 5 Let o(j) = 3*j + 16. Suppose 5*l - l = 4*b - 4, -5*b + 2*l + 2 = 0. Let w be o(b). Suppose 0 = 3*d + d. Solve 5*c = 4*r - 2*r + w, d = -4*c - 3*r + 22 for c. 4 Suppose -1469 = -2*f - n - 1458, 0 = -2*f + 5*n - 31. Solve 3*m + 5*d = 107 - 86, -27 = 5*m - f*d for m. -3 Let h be ((-126)/56)/(6/(-48)). Suppose 5*o + 19 = -2*b, -2*b + h - 7 = -o. Solve 12 = -b*v + j, 4*j + 8 = v + 1 for v. -5 Suppose 20 = 5*p - w, -p - 47*w + 4 = -50*w. Solve -4*t + 24*i = 28*i - 32, -2*i = p*t - 24 for t. 4 Let c be ((8/12)/(6/72))/1. Solve 2*f - 2*s = 0, -3*s = 5*f - c - 0 for f. 1 Let z be 369/63 + 88/77. Solve -14*b - z = t - 19*b, -2 = -4*t + 5*b for t. 3 Let k = -2547 + 2564. Solve -8*d + k = -4*d + 5*v, 0 = 5*d - v + 15 for d. -2 Suppose 7*l - 11*l = -3*d - 67, 0 = 3*l + 4*d - 19. Solve -3*a - l = 5*z, -2*z + z = 2*a + 4 for z. -2 Suppose -22 + 142 = 5*y. Let g be y/20*(-50)/(-15). Solve -2*o - 5*q + q + 18 = 0, -o = g*q - 15 for o. 3 Suppose 35*j - 1612 = 593. Solve 59*l = j*l - 12, -v + 2*l = 0 for v. 6 Let l(b) = b**3 + 20*b**2 + 12*b - 116. Let k be l(-19). Solve k = -4*r + 2*v + v, 5*v = -5 for r. -5 Let y = -2733 + 2735. Solve -y*a + 2 = -5*a + 2*v, -4*v = -4 for a. 0 Suppose -2*c = 3*f - 44, 0 = -3*f + 5*c + 83 - 4. Solve 4*h - 7 = -3*l, -3*h + 17*l = f*l + 1 for h. -2 Suppose 2*q - 2*n - 66 = 0, n - 483 = -485. Solve -5*c - 4*j + 6 = 0, -4*c + q*j - 16 = 29*j for c. -2 Let t be 198/(-11)*22/(-99). Solve 2*g + t*k + 28 = 0, 5*g - 3*k + 10 - 5 = 0 for g. -4 Suppose -28 + 54 = 26*l. Let f(p) = 4*p**3 - 2*p**2 + 1. Let c be f(l). Solve -4*h - d = -21, -d + 8 = -3*h + c*d for h. 4 Let l(h) = -h**3 + 4*h**2 - 2*h + 1. Let d be l(3). Let p(i) = 7*i + 6. Let c be p(0). Suppose -22 + c = -8*m. Solve v + v - d = -m*n, -2*n - v = -1 for n. -1 Let z(u) = -510*u - 3570. Let j be z(-7). Solve j = -4*w - 3*n + 5, -29 + 33 = 4*w + 4*n for w. 2 Let c = 887 + -884. Solve 0 = -c*i - 3*y + 3, -5*i - 4*y + 7 = -y for i. 2 Let i(o) = -o - 9. Let s be i(-11). Suppose 5*l = 4*t + 15, -5*l + 15 = -84*t + 87*t. Solve 0 = l*p + 2*k - s, -p - p = -2*k + 2 for p. 0 Let c be ((-33)/45 + (-3)/(-9))*(19 + -24). Solve -6 = -c*j - t, -13*j + 11*j - 4*t = -12 for j. 2 Let r = 6599 - 6597. Suppose -t + 4 + 8 = 3*i, -3*i - 2*t + 15 = 0. Solve a - 4 = x, -i = -0*x + x - r*a for x. -5 Let n = -6 - -12. Let h(p) = -2*p**2 + 9*p - 4. Let s be h(4). Solve 2*a + 4 = 0, -n = v + 4*a - s*a for v. 2 Let v be 8/20 - (5 + (-4844)/(-35)). Let w = v + 145. Solve -2*x + 4 = -u + 1, -3*x + w*u = -4 for x. 2 Let a(y) = -y**2 + 18*y - 45. Let v be a(15). Let c be (1 + v)/((-8)/(-64)). Solve b + 2*f = -5, -2*f + c = -2*b - 5*f for b. -1 Suppose 487 + 222 = 4*g + 5*n, 2*n = -2*g + 352. Let m = g - 171. Solve -5*c + c = 3*p + 27, m = -2*p + 3*c - 1 for p. -5 Let o(w) = 60 + 480*w + 0 - 966*w + 478*w. Let r be o(7). Solve -r*x = x + 2*i + 28, -3*i = 5*x + 32 for x. -4 Suppose -43*h = -15*h - 56. Suppose h*i = -f + 4, -i + 8 = 2*f + i. Solve -f*u + 3*u - 3*k - 7 = 0, 0 = u - 3*k - 5 for u. -1 Suppose -15*y - 1 = -4 - 27. Solve y*b - 3*q = -13, 33 = 5*q + 18 for b. -2 Suppose -75*o - 3*y = -72*o - 21, 4*y - 10 = 5*o. Solve -3*n - o*h - 5 = 0, 0 = 8*n - 9*n - h - 3 for n. 1 Let a = -56 - -93. Let f = a + -41. Let y be (-10)/f*(17 + -15). Solve -y*q + 2*k = -29, 5*q + 2*k = -0*k + 21 for q. 5 Let r be 3/((-9)/(-11)) + 2/6. Suppose 0 = 2*i + 3*j - 17, 3*j - j - 6 = 0. Let z be 484/110 + i/(-10). Solve -r*b = -o + 7, 2*b + o - z = -3 for b. -1 Suppose -94*p - 14 = -96*p - 2*y, -y = 5*p - 27. Suppose -2*i = i + 24. Let g be i/20*(-40)/2. Solve -s - 3*a - 4 = g, p*a = 5*s - 40 for s. 3 Suppose -z + 5*h = 6, -49*h + 9 = 2*z - 52*h. Solve -4*v = -r - 23 + 11, z = 5*r + 3*v for r. 0 Let y(g) = -g**2 + 9*g - 16. Let r be ((2*1)/4)/(183/1464). Let z be y(r). Solve 0 = -3*t + 2*l - 4*l + 7, 20 = z*l for t. -1 Let n(w) = -w**2 - 40*w - 22. Let l be n(-30). Let i = l + -250. Let j = -8 - -13. Solve 7*s - 40 = 2*s - 5*o, s = -j*o + i for s. 3 Suppose 4 = -3*q - 5*a - 0, 2*q + 1 = -5*a. Let h be 4/3*q - (-12 - -6). Solve 2 = -4*i + 3*t + 2*t, -h*t + 4 = 0 for i. 2 Let r = -1889 - -1905. Let v = 25 - 5. Let y = v - r. Solve 6 = -2*h, -y*j = -5*j + 3*h + 7 for j. -2 Suppose 90*s + 2118 - 2478 = 0. Solve -2*o + 2*f = 10, 24*o + 16 = 21*o + s*f for o. -4 Let p(a) = -3*a + 10. Let d be (-2 - (-66)/18)*6/5. Let h be p(d). Solve -4*b = h*q + 36, 2*b + 7 = -4*q - 19 for b. -5 Suppose 93*a = 98*a - 3*g - 63, g - 47 = -4*a. Solve 3*n - r = -6, a*r - 8 = 4*n + 9*r for n. -2 Let h(b) = -2*b**2 - 61*b - 28. Let k be h(-30). Suppose -15 + 23 = k*z. Suppose 0 = z*p + 6*p. Solve -4*s + 20 = 5*j, p*s = 4*s + 2*j - 20 for s. 5 Let n(j) = j**2 - 3*j + 2. Suppose c + 6 = 4*c, c + 4 = -3*h. Let f be n(h). Solve -s = 0, -b - s = 3*b + f for b. -3 Let f(r) = -2*r - 11. Let t be f(-8). Let v be 7/2 + (-2)/4. Suppose 0 = -4*p - 5*w + 39, 77*w - 53 = -3*p + 78*w. Solve -4 = t*l + m - p, 4*l = v*m + 21 for l. 3 Let l = 91 - -60. Let r = l - 148. Suppose -5*n - 15 = -4*p, -2*n = 3*p - 0*p + 6. Solve -r*m = f + 14, -m + f - 2*f - 4 = p for m. -5 Let i(c) = 5*c**3 + 20*c**2 - 8*c - 26. Let v be i(-4). Solve 0 = 3*w + 2*h + v, 8*h = 5*w + 7*h - 3 for w. 0 Let o be (1 + 4 - 2)/(1*(-15)/(-20)). Solve -o*q = 5*i - 28, i - 10 = -2*q - 2 for q. 2 Suppose 123*a + 293*a - 1036 - 628 = 0. Solve 5*j + 5 = a*z, 3*j + 96 = 5*z + 93 for j. -1 Let d be ((-136)/(-51)*63/112)/(2/4). Solve 12*h + d = -5*z + 9*h, 0 = 2*z - 2*h + 14 for z. -3 Let g(y) = -35*y + 1156. Let b be g(33). Solve l + 2 = 0, -w + 5*l = -14 + b for w. 3 Suppose -36 = -3*w + 2*i, 25 = 4*w - 3*i - 22. Let v(j) = j**3 - 12*j**2 - 30*j + 32. Let r be v(w). Solve -r*z + a = 4 - 3, -5*z + 4*a + 7 = 0 for z. -1 Let c(q) = 55*q + 3199. Let r be c(-58). Solve 9 = -2*t + 20*b - 23*b, -2*t + 3*b = -r for t. 0 Suppose 95*x + 88*x = 142*x + 82. Suppose 4*i + 4*y = -0*i - 16, -3*i - 4*y = 16. Solve -2*f - 2*v = -2, i = f + x*v - 3 - 1 for f. -2 Let w(a) = -a**3 + 11*a**2 - 3*a + 45. Let s be w(11). Let x(y) = 9*y - 105. Let q be x(s). Solve q*j - 2*r = -2, -4*r + 0 = j + 10 for j. -2 Let o = -5775 - -5775. Solve 14 = -5*m + 3*w, -5*m - 4*w - 28 = -o*m for m. -4 Let v(k) be the second derivative of 1/6*k**4 + 48*k - 1/20*k**5 - 2/3*k**3 - 2*k**2 + 0. Let g be v(-1). Solve 0 = 3*l - 4*o + 1, 5*o = 3*l + g - 1 for l. 1 Suppose 41*t - 45 = 37*t - 5*k, -30 = -4*t - 2*k. Solve j = -4*w - 11, t*w - 5*j - 2 = 3 for w. -2 Let c = 228 - 229. Let y(i) = 2*i**2 + 6*i + 5. Let k be y(c). Suppose -b - b + 8 = 0. Solve k + 3 = 4*m - 2*s, s - b = 0 for m. 3 Suppose -38*o = -9*o - 203. Let l(s) = s**3 + 11*s**2 - s - 6. Let y be l(-11). Solve -2*c - y = -n, 0 = -2*c + 3*c + n + o for c. -4 Let i = 51 - 27. Suppose -11*y + i*y = 65. Solve 2*v = -2*t - 2*t + 10, 0 = 5*v + y*t - 25 for v. 5 Let z = 408 - 405. Solve z*x = 3*l - 2 - 1, -2*x = 5*l + 9 for x. -2 Let d(r) = r**3 + 5*r**2 - 7*r + 30. Let k be d(-9). Let n be (343/k + 4/(-22))*-3. Solve -3*u = -2*z - 15, -n = -2*z - 0*u - u for z. 0 Suppose -136*y + 141*y - 795 = 0. Let
{ "pile_set_name": "DM Mathematics" }
(-3*(0 + sqrt(325)*-1 + 0 + sqrt(325) + -2))**2. 36 Simplify -2*sqrt(175) + sqrt(21)/(2*sqrt(3) - sqrt(3)). -9*sqrt(7) Simplify (-2*sqrt(117))/sqrt(9) - (0 + sqrt(208)). -6*sqrt(13) Simplify (sqrt(2) + -1)*1 + 1*sqrt(2) + 1. 2*sqrt(2) Simplify 3 + sqrt(17) + -1 + 0. 2 + sqrt(17) Simplify (sqrt(2057) - (-2 + sqrt(2057))) + -5. -3 Simplify (sqrt(104) - (sqrt(104) - (-5*(sqrt(104) - ((sqrt(104) - (sqrt(104)*-1 - sqrt(104))) + sqrt(104))) + sqrt(104) - sqrt(104))))/sqrt(8) + -2. -2 + 15*sqrt(13) Simplify (0 + sqrt(396) + 5 - sqrt(396))**2 + -4. 21 Simplify (-1*(sqrt(90) + sqrt(90)*-1 + sqrt(90)))/sqrt(5). -3*sqrt(2) Simplify (2 + sqrt(300)*-1 + -4)**2. 40*sqrt(3) + 304 Simplify ((sqrt(17) + (-3*sqrt(17) - sqrt(17)))*-5 - sqrt(102)/sqrt(150))**2. 93092/25 Simplify (5*sqrt(153))**2 + -1 + sqrt(17) + 2. sqrt(17) + 3826 Simplify -1*sqrt(612) - (sqrt(612) + 2). -12*sqrt(17) - 2 Simplify (sqrt(30)/(sqrt(90)/sqrt(9)))**2 + -4*-3*sqrt(3) + sqrt(3). 3 + 13*sqrt(3) Simplify sqrt(119)/(sqrt(49)/sqrt(175)). 5*sqrt(17) Simplify 1 + sqrt(1331) + -1 + sqrt(1331) + -1 + sqrt(1331) + sqrt(1331). -1 + 44*sqrt(11) Simplify (1*(sqrt(704) + sqrt(44)))/(sqrt(36)/(sqrt(9)*1)). 5*sqrt(11) Simplify (sqrt(28)/sqrt(2))/sqrt(7) + -5. -5 + sqrt(2) Simplify (-5 + sqrt(18))*1. -5 + 3*sqrt(2) Simplify 2*(-3 + 3 + (1 + sqrt(19) + sqrt(19))**2 + -1). 8*sqrt(19) + 152 Simplify (sqrt(208) + sqrt(208) + (sqrt(208) - (sqrt(208) - (-3 + sqrt(208))) - sqrt(208)))*-6. -48*sqrt(13) + 18 Simplify 3*((5*(sqrt(91) + -2*sqrt(91)))/sqrt(7))**2*-3. -2925 Simplify (sqrt(198)/sqrt(9))/sqrt(2) - (-2*sqrt(11) + sqrt(11) + -3)**2. -20 - 5*sqrt(11) Simplify 2 + 1*(1 + sqrt(3)) + (sqrt(9)/(sqrt(9)/sqrt(3)))**2 + 0 + -2*sqrt(3). -sqrt(3) + 6 Simplify sqrt(56)/((sqrt(72) - -2*sqrt(72))/sqrt(9)). sqrt(7)/3 Simplify -3 + -5 + 0 + -1*sqrt(7). -8 - sqrt(7) Simplify (sqrt(110)/sqrt(90) + ((sqrt(11) - (sqrt(11) + 0 + sqrt(11))) + sqrt(11))*5 + sqrt(11))**2*-6. -352/3 Simplify ((-2 + -2*sqrt(396) + sqrt(396) - sqrt(396)) + -2)**2. 96*sqrt(11) + 1600 Simplify ((sqrt(22)*-1 - sqrt(22) - sqrt(22))*2)/(sqrt(6)/(sqrt(3) - sqrt(48)))*6. 108*sqrt(11) Simplify 3 + sqrt(130)/(sqrt(20)/sqrt(2)) + 5*sqrt(208). 3 + 21*sqrt(13) Simplify sqrt(99)/(5*sqrt(45)/sqrt(5)). sqrt(11)/5 Simplify (-1*sqrt(2156))/(sqrt(28)/(sqrt(28)/sqrt(4))). -7*sqrt(11) Simplify (sqrt(16)/(sqrt(40)/sqrt(5)))**2 + ((-2*sqrt(6))/sqrt(3))**2. 10 Simplify (sqrt(1575)*-2*-3)**2. 56700 Simplify (-5*sqrt(70)*-4)/((sqrt(120)/sqrt(6))/sqrt(2)). 20*sqrt(7) Simplify 4*((sqrt(2057) - (1 + sqrt(2057)))*6 - 2*(sqrt(2057) + -1))**2. 704*sqrt(17) + 32976 Simplify (-1 + sqrt(125))*-5*4. -100*sqrt(5) + 20 Simplify -2*sqrt(171) + 2 + (sqrt(19) + sqrt(19) + (sqrt(114)*1)/sqrt(6) - (sqrt(19) + 0)*-6)**2. -6*sqrt(19) + 1541 Simplify 1*sqrt(13)*-3*6. -18*sqrt(13) Simplify -3 + 1*(sqrt(1900) + -3). -6 + 10*sqrt(19) Simplify -2 + (2 + sqrt(3) + 1)**2 + sqrt(3). 10 + 7*sqrt(3) Simplify (3*(-2 + sqrt(242)*1))**2. -396*sqrt(2) + 2214 Simplify sqrt(441)/sqrt(7) + 5. 5 + 3*sqrt(7) Simplify sqrt(110)/sqrt(10) + 3 - (0 + sqrt(176)). -3*sqrt(11) + 3 Simplify (-4*(sqrt(192) + 3) + sqrt(192)*-1 + -4)**2. 1280*sqrt(3) + 5056 Simplify (sqrt(91) + 6*(2*sqrt(91) - sqrt(91)))/((sqrt(252) - (sqrt(252) - sqrt(252)*-1) - sqrt(252)) + sqrt(252)). -7*sqrt(13)/6 Simplify sqrt(190)/sqrt(250) - (sqrt(76) + -4). -9*sqrt(19)/5 + 4 Simplify -1 + (-3 + (0 + sqrt(448))**2 + sqrt(448) - sqrt(448)) + 4. 448 Simplify (sqrt(363) + (sqrt(363) - -2*sqrt(363)) + sqrt(363) + -2)**2 - sqrt(363). -231*sqrt(3) + 9079 Simplify ((4*-1*sqrt(63))/((sqrt(72)/sqrt(2))/sqrt(4)))**2. 112 Simplify -1 + (1*sqrt(102))/sqrt(6) + (sqrt(68)*-1)**2. sqrt(17) + 67 Simplify (sqrt(72) - (-3*sqrt(72) + 0))**2*-4. -4608 Simplify (-2 + sqrt(2))*-1*-5. -10 + 5*sqrt(2) Simplify ((sqrt(108) + -1)*1)**2. -12*sqrt(3) + 109 Simplify (sqrt(6)*-2 - sqrt(6))/sqrt(2) + ((sqrt(96)/sqrt(4))/sqrt(8))**2. -3*sqrt(3) + 3 Simplify (-2 + -1 + sqrt(539) + sqrt(539) - (4 + sqrt(539)*-2)) + -3. -10 + 28*sqrt(11) Simplify ((sqrt(1088) - sqrt(1088)*-1)*-3 + 5)**2. -480*sqrt(17) + 39193 Simplify sqrt(19) + (sqrt(304)*2)**2 + sqrt(19) - (sqrt(171)*-2 + sqrt(171)). 5*sqrt(19) + 1216 Simplify ((sqrt(112) - (sqrt(112) + 2))*-1 - (sqrt(112) - (sqrt(112) + 1*sqrt(112)))*3)**2. 48*sqrt(7) + 1012 Simplify (sqrt(20)/sqrt(5))/sqrt(2) - sqrt(6)/(sqrt(9)/sqrt(3)). 0 Simplify (sqrt(156) + sqrt(156) + -4*sqrt(156)*1)/(sqrt(24)/(-1*sqrt(2))). 2*sqrt(13) Simplify (-1*(-3*sqrt(78) - sqrt(78)))/((-1*sqrt(66))/sqrt(11)). -4*sqrt(13) Simplify (1*sqrt(35)*1 - sqrt(35))/((sqrt(7) - (sqrt(84) - sqrt(84)*1)/sqrt(12)) + sqrt(7)). 0 Simplify sqrt(81)/sqrt(3) - sqrt(6)/sqrt(32). 11*sqrt(3)/4 Simplify -6*sqrt(10)/(-2*sqrt(500) + sqrt(5)). 6*sqrt(2)/19 Simplify sqrt(45)/(1*(sqrt(144) - sqrt(9))). sqrt(5)/3 Simplify -4*(sqrt(11) + (sqrt(11) + 0)**2) + sqrt(88)/sqrt(2) + -4. -48 - 2*sqrt(11) Simplify (1*(sqrt(5) - (sqrt(5) + -1)) - (0 + -1*sqrt(5))) + -4. -3 + sqrt(5) Simplify ((sqrt(343) + 0)*-1)**2 + sqrt(343)*-2*2 + 1. -28*sqrt(7) + 344 Simplify -1*(4*(sqrt(125) + -1))**2. -2016 + 160*sqrt(5) Simplify 5 + (sqrt(1100)*-2)**2 + sqrt(1100). 10*sqrt(11) + 4405 Simplify (sqrt(931) + 0 + -2)**2 + (sqrt(931)*-2 + sqrt(931))*4. -56*sqrt(19) + 935 Simplify 4 + 6*(-2*sqrt(243) + sqrt(243)) + sqrt(243). -45*sqrt(3) + 4 Simplify (sqrt(1700) + 1*sqrt(1700) + -4)**2. -160*sqrt(17) + 6816 Simplify (sqrt(143) + -4*sqrt(143)*4 - sqrt(143))/sqrt(11)*-1. 16*sqrt(13) Simplify 3 + (-5 + (6*sqrt(125))**2 - sqrt(125)). -5*sqrt(5) + 4498 Simplify (1*-2*sqrt(190))/(sqrt(10) + -1*sqrt(1440)). 2*sqrt(19)/11 Simplify (-3 + sqrt(468) + -2)*-2. -12*sqrt(13) + 10 Simplify -2 + ((-1 + sqrt(13))*-6 - sqrt(13) - sqrt(832)*2). -23*sqrt(13) + 4 Simplify (sqrt(143) + (sqrt(143) - 2*(1*sqrt(143) + sqrt(143))))/(sqrt(11) - 1*sqrt(99) - sqrt(11)). 2*sqrt(13)/3 Simplify (6*(5 + sqrt(320) + -3))**2. 1152*sqrt(5) + 11664 Simplify sqrt(1216) - -3*(0 + sqrt(1216)) - (-1 + sqrt(1216) + 0). 1 + 24*sqrt(19) Simplify sqrt(5) - (sqrt(5) + (3*sqrt(5)*-3 - sqrt(5))**2) - -6*sqrt(20)/sqrt(4). -500 + 6*sqrt(5) Simplify (sqrt(147) + 0 + -5)**2. -70*sqrt(3) + 172 Simplify (-4*(sqrt(52) + 0))**2. 832 Simplify (sqrt(13) - (-3*(-2 + sqrt(13)))**2)*6. -918 + 222*sqrt(13) Simplify 2*(-1 + (sqrt(153)/(sqrt(18)/sqrt(2)) - sqrt(17)) + 2)**2. 2 Simplify (sqrt(33)/((sqrt(275) - (sqrt(275) - 3*sqrt(275))) + sqrt(275)))**2. 3/400 Simplify sqrt(84)/(sqrt(1200)*2 + sqrt(12)). sqrt(7)/21 Simplify (5 + 1 + sqrt(5))**2 + sqrt(5) + (-5 + sqrt(5)*-1 - sqrt(5))**2. 33*sqrt(5) + 86 Simplify sqrt(152)/sqrt(128). sqrt(19)/4 Simplify (sqrt(19) + 1 + (sqrt(19) - (-1 + sqrt(19))) - sqrt(19))**2 - sqrt(114)/(sqrt(6)*-2). sqrt(19)/2 + 4 Simplify (sqrt(459)/(sqrt(27)/sqrt(3)))/(5*1*sqrt(3) - sqrt(3)). sqrt(17)/4 Simplify (1 + sqrt(11)*2 + sqrt(11) - ((2*sqrt(66) + sqrt(66) - sqrt(66))/sqrt(6))**2) + -2 + -1. -46 + 3*sqrt(11) Simplify -4*4*-3*(sqrt(3) + -1 + sqrt(3)) + 5. -43 + 96*sqrt(3) Simplify (-1*sqrt(48)/sqrt(3))/sqrt(8) - sqrt(14)/(sqrt(28)/(sqrt(12)/sqrt(3))). -2*sqrt(2) Simplify (sqrt(363) + (sqrt(363) - (-1 + sqrt(363))))**2*-5 + -2*(sqrt(3) + sqrt(3)*-1 + 3)**2. -1838 - 110*sqrt(3) Simplify (-2*sqrt(17)*4 + -5)**2. 80*sqrt(17) + 1113 Simplify ((2*sqrt(800))/(sqrt(4) - sqrt(20)/sqrt(5)*-1))**2. 200 Simplify (-4 + -6*(-1 + -2*sqrt(11) + -3))**2. 480*sqrt(11) + 1984 Simplify sqrt(60)/(sqrt(72)/(sqrt(54)/sqrt(9)))*4. 4*sqrt(5) Simplify (-1*sqrt(136))/sqrt(8) - (4*(sqrt(17)*-1)**2 - sqrt(17)). -68 Simplify 1*((sqrt(1216)*-2)**2 + sqrt(1216)) + -3. 8*sqrt(19) + 4861 Simplify 3 + (1*sqrt(20) - sqrt(5)). sqrt(5) + 3 Simplify 3*(sqrt(17) + sqrt(17) + 4*sqrt(102)/sqrt(6) + sqrt(1224)/sqrt(2)). 36*sqrt(17) Simplify sqrt(2) + (sqrt(200) + 2*sqrt(200) + sqrt(200))**2 + -5. sqrt(2) + 3195 Simplify 2 + (-5*sqrt(38)/sqrt(2) - (sqrt(19) + sqrt(19) + -4 + -1 + sqrt(19))**2)*4. -782 + 100*sqrt(19) Simplify (sqrt(3) + 1*(sqrt(18)/sqrt(6))**2)*3. 3*sqrt(3) + 9 Simplify sqrt(17) + ((2*sqrt(102))/sqrt(6))**2 + -2*sqrt(1700). -19*sqrt(17) + 68 Simplify -1 + sqrt(1573) - (((sqrt(156) - (1*sqrt(156) + sqrt(156))) + sqrt(156))/sqrt(12) + sqrt(13)). -1 + 10*sqrt(13) Simplify (-4 + (sqrt(1573) + 1 + sqrt(1573) + sqrt(1573) + sqrt(1573))**2)*4. 352*sqrt(13) + 100660 Simplify 0 +
{ "pile_set_name": "DM Mathematics" }
1/2, to the nearest integer? 796 What is 780572 to the power of 1/3, to the nearest integer? 92 What is the cube root of 17349602 to the nearest integer? 259 What is 11701591 to the power of 1/9, to the nearest integer? 6 What is 143267 to the power of 1/8, to the nearest integer? 4 What is the seventh root of 8960254 to the nearest integer? 10 What is 226321 to the power of 1/2, to the nearest integer? 476 What is the tenth root of 589421 to the nearest integer? 4 What is 8217102 to the power of 1/2, to the nearest integer? 2867 What is 148033 to the power of 1/2, to the nearest integer? 385 What is the fourth root of 311449 to the nearest integer? 24 What is 73699 to the power of 1/2, to the nearest integer? 271 What is 652124 to the power of 1/5, to the nearest integer? 15 What is the tenth root of 378191 to the nearest integer? 4 What is the cube root of 19808079 to the nearest integer? 271 What is the cube root of 497464 to the nearest integer? 79 What is 352420 to the power of 1/2, to the nearest integer? 594 What is 408174 to the power of 1/2, to the nearest integer? 639 What is the tenth root of 6922320 to the nearest integer? 5 What is the tenth root of 2373706 to the nearest integer? 4 What is the cube root of 1127488 to the nearest integer? 104 What is 40754 to the power of 1/10, to the nearest integer? 3 What is 22666220 to the power of 1/2, to the nearest integer? 4761 What is 1146074 to the power of 1/5, to the nearest integer? 16 What is 2722669 to the power of 1/2, to the nearest integer? 1650 What is the third root of 57664 to the nearest integer? 39 What is the third root of 644046 to the nearest integer? 86 What is the sixth root of 3410693 to the nearest integer? 12 What is 1439993 to the power of 1/3, to the nearest integer? 113 What is the square root of 7644439 to the nearest integer? 2765 What is 816023 to the power of 1/9, to the nearest integer? 5 What is the square root of 36670358 to the nearest integer? 6056 What is 8442027 to the power of 1/10, to the nearest integer? 5 What is 934148 to the power of 1/2, to the nearest integer? 967 What is the ninth root of 2363659 to the nearest integer? 5 What is the square root of 4268427 to the nearest integer? 2066 What is 14657996 to the power of 1/4, to the nearest integer? 62 What is the cube root of 5107280 to the nearest integer? 172 What is the square root of 1186943 to the nearest integer? 1089 What is the square root of 2226207 to the nearest integer? 1492 What is 96772 to the power of 1/2, to the nearest integer? 311 What is the cube root of 757421 to the nearest integer? 91 What is the square root of 6493021 to the nearest integer? 2548 What is the fifth root of 14713116 to the nearest integer? 27 What is the third root of 36667828 to the nearest integer? 332 What is the fourth root of 7878101 to the nearest integer? 53 What is the square root of 89925 to the nearest integer? 300 What is the third root of 844772 to the nearest integer? 95 What is 18732448 to the power of 1/3, to the nearest integer? 266 What is 1035108 to the power of 1/3, to the nearest integer? 101 What is the cube root of 221712 to the nearest integer? 61 What is the eighth root of 7645261 to the nearest integer? 7 What is the square root of 15456008 to the nearest integer? 3931 What is the cube root of 2321518 to the nearest integer? 132 What is 1377280 to the power of 1/3, to the nearest integer? 111 What is the ninth root of 573185 to the nearest integer? 4 What is the fifth root of 915665 to the nearest integer? 16 What is the seventh root of 607370 to the nearest integer? 7 What is 230749 to the power of 1/2, to the nearest integer? 480 What is 7396861 to the power of 1/9, to the nearest integer? 6 What is 68561 to the power of 1/8, to the nearest integer? 4 What is 3721435 to the power of 1/5, to the nearest integer? 21 What is the square root of 2211587 to the nearest integer? 1487 What is the eighth root of 132609 to the nearest integer? 4 What is 2959057 to the power of 1/2, to the nearest integer? 1720 What is 2787283 to the power of 1/9, to the nearest integer? 5 What is the eighth root of 14727993 to the nearest integer? 8 What is 3578527 to the power of 1/10, to the nearest integer? 5 What is the third root of 274635 to the nearest integer? 65 What is the square root of 50312 to the nearest integer? 224 What is 4415435 to the power of 1/10, to the nearest integer? 5 What is 11017391 to the power of 1/8, to the nearest integer? 8 What is 151024 to the power of 1/3, to the nearest integer? 53 What is 6264891 to the power of 1/8, to the nearest integer? 7 What is the third root of 4084592 to the nearest integer? 160 What is the third root of 553586 to the nearest integer? 82 What is 12207594 to the power of 1/2, to the nearest integer? 3494 What is the sixth root of 26282324 to the nearest integer? 17 What is the square root of 251622 to the nearest integer? 502 What is 2803261 to the power of 1/2, to the nearest integer? 1674 What is the eighth root of 345512 to the nearest integer? 5 What is 160765 to the power of 1/8, to the nearest integer? 4 What is 876513 to the power of 1/2, to the nearest integer? 936 What is 1911497 to the power of 1/2, to the nearest integer? 1383 What is the third root of 2286535 to the nearest integer? 132 What is 478237 to the power of 1/9, to the nearest integer? 4 What is the square root of 232180 to the nearest integer? 482 What is the square root of 252839 to the nearest integer? 503 What is 15219981 to the power of 1/9, to the nearest integer? 6 What is the ninth root of 163778 to the nearest integer? 4 What is 413798 to the power of 1/2, to the nearest integer? 643 What is the tenth root of 266081 to the nearest integer? 3 What is 3381014 to the power of 1/2, to the nearest integer? 1839 What is the seventh root of 5099 to the nearest integer? 3 What is the ninth root of 270696 to the nearest integer? 4 What is the third root of 7599435 to the nearest integer? 197 What is 9751568 to the power of 1/6, to the nearest integer? 15 What is 15984333 to the power of 1/2, to the nearest integer? 3998 What is the cube root of 2042758 to the nearest integer? 127 What is 121167 to the power of 1/2, to the nearest integer? 348 What is the square root of 2042 to the nearest integer? 45 What is the tenth root of 474764 to the nearest integer? 4 What is the square root of 1227956 to the nearest integer? 1108 What is 74273 to the power of 1/3, to the nearest integer? 42 What is 6775076 to the power of 1/2, to the nearest integer? 2603 What is the square root of 3326695 to the nearest integer? 1824 What is the third root of 201202 to the nearest integer? 59 What is the cube root of 88048 to the nearest integer? 44 What is 1481620 to the power of 1/6, to the nearest integer? 11 What is the fourth root of 23368070 to the nearest integer? 70 What is the fifth root of 14672574 to the nearest integer? 27 What is 606712 to the power of 1/3, to the nearest integer? 85 What is the eighth root of 228524 to the nearest integer? 5 What is the square root of 223624 to the nearest integer? 473 What is 164762 to the power of 1/2, to the nearest integer? 406 What is 15038700 to the power of 1/2, to the nearest integer? 3878 What is the square root of 1034837 to the nearest integer? 1017 What is the third root of 3832088 to the nearest integer? 156 What is 160601 to the power of 1/3, to the nearest integer? 54 What is the cube root of 4924431 to the nearest integer? 170 What is the square root of 1413940 to the nearest integer? 1189 What is 196706 to the power of 1/4, to the nearest integer? 21 What is 114161 to the power of 1/8, to the nearest integer? 4 What is the cube root of 248299 to the nearest integer? 63 What is 477253 to the power of 1/5, to the nearest integer? 14 What is the seventh root of 3737799 to the nearest integer? 9 What is the third root of 1823041 to the nearest integer? 122 What is 20154584 to the power of 1/2, to the nearest integer? 4489 What is 156433 to the power of 1/5, to the nearest integer? 11 What is the square root of 7457093 to the nearest integer? 2731 What is 1372605 to the power of 1/7, to the nearest integer? 8 What is the cube root of 462
{ "pile_set_name": "DM Mathematics" }
he z'th term of 657, 702, 783, 906, 1077, 1302, 1587, 1938? z**3 + 12*z**2 + 2*z + 642 What is the q'th term of 293212, 293210, 293208, 293206? -2*q + 293214 What is the l'th term of -172753, -172749, -172745? 4*l - 172757 What is the c'th term of -451, -1768, -4051, -7372, -11803, -17416, -24283, -32476? -12*c**3 - 411*c**2 - 28 What is the n'th term of 691, 699, 707, 715, 723? 8*n + 683 What is the f'th term of 5418, 5382, 5322, 5238, 5130, 4998, 4842? -12*f**2 + 5430 What is the i'th term of 16580, 33154, 49728, 66302? 16574*i + 6 What is the b'th term of 1242, 4530, 10010, 17682, 27546, 39602, 53850? 1096*b**2 + 146 What is the r'th term of -165, -402, -639? -237*r + 72 What is the z'th term of 1010, 2549, 5102, 8663, 13226? -z**3 + 513*z**2 + 7*z + 491 What is the p'th term of 227, 927, 2093, 3725? 233*p**2 + p - 7 What is the u'th term of 3886, 3668, 3452, 3238? u**2 - 221*u + 4106 What is the h'th term of 119076, 238152, 357228, 476304, 595380, 714456? 119076*h What is the o'th term of 3325, 6660, 9995, 13330, 16665? 3335*o - 10 What is the q'th term of 1943, 3882, 5821, 7760? 1939*q + 4 What is the m'th term of -4439, -4425, -4411, -4397? 14*m - 4453 What is the z'th term of -22, -116, -268, -478, -746? -29*z**2 - 7*z + 14 What is the h'th term of 710, 1331, 1950, 2567, 3182, 3795, 4406? -h**2 + 624*h + 87 What is the g'th term of 69972, 139942, 209912, 279882, 349852, 419822? 69970*g + 2 What is the t'th term of 10397, 10412, 10437, 10478, 10541, 10632, 10757, 10922? t**3 - t**2 + 11*t + 10386 What is the c'th term of 212, 156, 94, 26, -48, -128? -3*c**2 - 47*c + 262 What is the s'th term of -444, -231, 114, 585, 1176? -s**3 + 72*s**2 + 4*s - 519 What is the j'th term of 1275, 2581, 3883, 5181, 6475? -2*j**2 + 1312*j - 35 What is the q'th term of -36279, -72555, -108831, -145107, -181383? -36276*q - 3 What is the u'th term of 197133, 197131, 197129, 197127, 197125? -2*u + 197135 What is the l'th term of 34, 705, 2734, 6865, 13842, 24409, 39310, 59289? 124*l**3 - 65*l**2 - 2*l - 23 What is the y'th term of 471, 995, 1577, 2211, 2891? -y**3 + 35*y**2 + 426*y + 11 What is the a'th term of -1647, -6630, -14947, -26598? -1667*a**2 + 18*a + 2 What is the h'th term of 585, 4531, 15191, 35907, 70021, 120875? 557*h**3 + 15*h**2 + 2*h + 11 What is the o'th term of 1904, 1957, 2010, 2063? 53*o + 1851 What is the i'th term of -214, -213, -204, -187, -162, -129, -88? 4*i**2 - 11*i - 207 What is the v'th term of -62, -279, -646, -1163, -1830? -75*v**2 + 8*v + 5 What is the b'th term of 15060, 30075, 45090, 60105, 75120, 90135? 15015*b + 45 What is the x'th term of -2233, -8967, -20181, -35869, -56025? x**3 - 2246*x**2 - 3*x + 15 What is the b'th term of 129, 535, 1213, 2163, 3385? 136*b**2 - 2*b - 5 What is the f'th term of -136189, -544749, -1225683, -2178991? -136187*f**2 + f - 3 What is the l'th term of 1406, 5599, 12576, 22337? 1392*l**2 + 17*l - 3 What is the p'th term of -421025, -842048, -1263073, -1684100, -2105129, -2526160? -p**2 - 421020*p - 4 What is the v'th term of 106950, 106943, 106936, 106929, 106922, 106915? -7*v + 106957 What is the l'th term of -8655, -17313, -25971, -34629, -43287, -51945? -8658*l + 3 What is the p'th term of -211, -211, -219, -235? -4*p**2 + 12*p - 219 What is the x'th term of 5925, 11835, 17745, 23655, 29565, 35475? 5910*x + 15 What is the o'th term of -3388, -3403, -3418? -15*o - 3373 What is the t'th term of -28340, -28554, -28770, -28988, -29208, -29430? -t**2 - 211*t - 28128 What is the z'th term of 1449, 1452, 1455, 1458? 3*z + 1446 What is the k'th term of 966, 944, 918, 888, 854, 816, 774? -2*k**2 - 16*k + 984 What is the u'th term of -4200, -4214, -4236, -4266, -4304, -4350, -4404? -4*u**2 - 2*u - 4194 What is the u'th term of -16190, -32360, -48530, -64700, -80870, -97040? -16170*u - 20 What is the y'th term of 2872, 5749, 8626? 2877*y - 5 What is the l'th term of 3149, 12729, 28697, 51053, 79797? 3194*l**2 - 2*l - 43 What is the p'th term of 759, 1282, 1805, 2328, 2851, 3374? 523*p + 236 What is the x'th term of -660208, -660206, -660204, -660202, -660200? 2*x - 660210 What is the m'th term of 20432, 20472, 20538, 20630, 20748, 20892? 13*m**2 + m + 20418 What is the c'th term of 8065, 16057, 23975, 31813, 39565, 47225, 54787? -c**3 - 31*c**2 + 8092*c + 5 What is the z'th term of -55280, -221100, -497466, -884378, -1381836, -1989840, -2708390? -55273*z**2 - z - 6 What is the y'th term of 493, 502, 517, 538, 565, 598? 3*y**2 + 490 What is the v'th term of 13304, 13275, 13246, 13217, 13188? -29*v + 13333 What is the j'th term of -685016, -2740082, -6165198, -10960370, -17125604, -24660906, -33566282, -43841738? -j**3 - 685019*j**2 - 2*j + 6 What is the s'th term of -1173, -1181, -1201, -1233, -1277? -6*s**2 + 10*s - 1177 What is the d'th term of 563, 2387, 5419, 9653, 15083, 21703, 29507, 38489? -d**3 + 610*d**2 + d - 47 What is the k'th term of -5466, -5521, -5672, -5967, -6454, -7181, -8196? -8*k**3 + k - 5459 What is the z'th term of 4538, 9115, 13700, 18299, 22918, 27563? z**3 - 2*z**2 + 4576*z - 37 What is the j'th term of -698, -1414, -2146, -2894, -3658? -8*j**2 - 692*j + 2 What is the y'th term of 956, 1971, 2986, 4001, 5016, 6031? 1015*y - 59 What is the i'th term of 8891, 35562, 80015, 142250, 222267? 8891*i**2 - 2*i + 2 What is the w'th term of -8569, -8475, -8383, -8293, -8205? -w**2 + 97*w - 8665 What is the h'th term of 41, 17, -31, -115, -247, -439, -703? -2*h**3 - 10*h + 53 What is the k'th term of 810, 986, 1280, 1692, 2222, 2870? 59*k**2 - k + 752 What is the b'th term of -57869, -115735, -173601, -231467? -57866*b - 3 What is the b'th term of -724, -2887, -6494, -11545, -18040? -722*b**2 + 3*b - 5 What is the x'th term of -267, -261, -235, -195, -147, -97? -x**3 + 16*x**2 - 35*x - 247 What is the c'th term of 240, 598, 968, 1350, 1744, 2150? 6*c**2 + 340*c - 106 What is the b'th term of -12873, -12827, -12753, -12651, -12521, -12363? 14*b**2 + 4*b - 12891 What is the q'th term of -2, 237, 486, 751, 1038? q**3 - q**2 + 235*q - 237 What is the z'th term of -1711, -3432, -5153, -6874, -8595, -10316? -1721*z + 10 What is the f'th term of -11852, -11780, -11708, -11636, -11564, -11492? 72*f - 11924 What is the h'th term of -74, -187, -360, -623, -1006, -1539, -2252, -3175? -5*h**3 - 78*h + 9 What is the s'th term of -129763, -259533, -389303, -519073, -648843? -129770*s + 7 What is the j'th term of -719, -1650, -2577, -3500, -4419? 2*j**2 - 937*j + 216 What is the b'th term of 348, 371, 402, 447, 512, 603, 726, 887? b**3 - 2*b**2 + 22*b + 327 What is the w'th term of 357113, 714230, 1071349, 1428470, 1785593? w**2 + 357114*w - 2 What is the j'th term of 692, 633, 534, 395? -20*j**2 + j + 711 What is the y'th term of -133, -54, 81, 272, 519, 822, 1181? 28*y**2 - 5*y - 156 What is the u'th term of 547124, 1094251, 1641378, 2188505, 2735632, 3282759? 547127*u - 3 What is the g'th term of -634, -1255, -1874, -2491, -3106? g**2 - 624*g - 11 What is the j'th term of 16339, 32718, 49097, 65476, 81855, 98234? 16379*j - 40 What is the z'th term of 2074557, 2074555, 2074553, 2074551? -2*z + 2074559 What is the u'th term of 4040, 8089, 12134, 16175? -2*u**2 + 4055*u - 13 What is the u'th term of -442306, -884612, -1326918, -1769224, -2211530, -2653836? -442306*u What is the r'th term of -10526, -10510, -10470, -10394, -10270, -10086, -9830? 2*r**3 + 2*r - 10530 What is the p'th term of -33205, -33208, -33211, -33214, -33217? -3*p - 33202 What is the x'th term of 382, 779, 1192, 1627, 2090, 2587? x**3 + 2*x**2 + 384*x - 5 What is the w'th term of 29123, 58240, 87357, 116474? 29117*w + 6 What is the k'th term of 1836, 1786, 1738, 1692, 1648, 1606? k**2 - 53*k + 1888 What is the l'th term of 55, 5, -77, -191? -16*l**2 - 2*l + 73 What is the n'th term of -80743, -80741, -80727, -80695, -80639, -80553, -80431? n**3 - 5*n - 80739 What is the g'th term of 1350, 5416, 12192, 21678, 33874? 1355*g**2 + g - 6 What is the t'th term of 1496, 1360, 1228, 1100, 976, 856, 740? 2*t**2 - 142*t + 1636 What is the r'th term of 74, -295, -664, -1033? -369*r + 443 What is the g'th term of 172, 1825, 3480, 5137, 6796? g**2 + 1650*g - 1479 What is the t'th term of 93, 377, 831, 1449, 2225, 3153? -t**3 + 91*t**2 + 18*t
{ "pile_set_name": "DM Mathematics" }
-2*q. Suppose -2*h + q + 10 = 0. Let u be (-98)/(-21)*6/4. Calculate the greatest common divisor of u and h. 7 Let c be (-14 + 13)/((-2)/362 - 0). Suppose -71 - c = -4*s. Calculate the highest common divisor of 7 and s. 7 Suppose -5*x = 3*n - 136, 3*n + 33 = 4*x - 92. Suppose -664 = -5*m + 931. What is the greatest common factor of m and x? 29 Let l be 1*1/((-4)/(-12)). Suppose b - 2*j - 93 = 0, j = -l*b + 6*j + 275. Calculate the greatest common divisor of 34 and b. 17 Suppose -19 = 4*i + o, 3*i + 30 = -2*i + 5*o. Let m be -25 - (i + (-2)/(-1)). Let w be m/(1/(-2)*4). What is the highest common factor of w and 55? 11 Let j = -71 - -100. Suppose 2*m + 6 = 0, 2*m - j = -r + 6*m. Calculate the highest common divisor of 119 and r. 17 Let b be (1/(1/(-18)))/((-22)/99). What is the greatest common factor of b and 18? 9 Suppose -5*y + 184 = 4*d, -3*d = y - d - 32. Suppose v - 73 = 5*t, -4*t + 36 = 2*v - y. Calculate the highest common factor of 32 and v. 16 Let i(t) = t**3 + 2*t**2 + 2*t + 2. Let v be i(-1). Let u be -14*1/(-2) + -2. What is the highest common divisor of u and v? 1 Suppose 2*m + 22 = -2*p, 38 - 4 = -4*m - 2*p. Let s be (-2)/m*-3*-19. Calculate the highest common factor of 19 and s. 19 Suppose 22*j + 36 = 25*j. Suppose -11*r = -j*r + 12. Calculate the highest common factor of 132 and r. 12 Let z = -50 + 54. Suppose -z = -k + 3*l + 17, -4*l = 0. Calculate the highest common divisor of 105 and k. 21 Let g = 579 + -522. What is the highest common factor of 627 and g? 57 Let h(j) = -j**3 - j**2 - j + 2. Let i be h(-3). Let q = i - 21. Calculate the greatest common divisor of q and 5. 1 Let w be 180/(-144) - 243/(-12). What is the greatest common factor of w and 2299? 19 Suppose 4*x - 45 = -3*v + 25, 0 = 4*v - 5*x - 52. What is the highest common factor of v and 24? 6 Let o = -1843 + 1867. What is the greatest common divisor of o and 60? 12 Let o be (2/3 - (-17)/(-3))*-4. What is the highest common divisor of 50 and o? 10 Let g(q) = -6*q + 7*q**2 - q**3 - 1 + 2*q + 5 - 6. Let a be g(6). Calculate the highest common factor of a and 30. 10 Suppose 2*m = j + 627, 3*j = 3 - 12. Suppose m = 3*u + 42. Calculate the greatest common factor of u and 18. 18 Let y(a) = a**2 - 3*a - 7. Let w be y(6). Let x(z) = 134*z + 9501. Let n be x(-70). Calculate the greatest common factor of w and n. 11 Suppose 0 = -59*r + 8163 - 1673. Calculate the highest common divisor of r and 44. 22 Suppose 316*r + 2*w - 1160 = 312*r, 870 = 3*r - 2*w. What is the highest common factor of 464 and r? 58 Let k be (-3 - 62)/((-4)/4). Calculate the highest common divisor of 143 and k. 13 Let s = -17 - -42. Let b(g) = -g**2 - 9*g - 3. Suppose -5*k - 20 = 20. Let z be b(k). What is the highest common divisor of s and z? 5 Let l = -312 - -217. Let a = 113 + l. What is the greatest common divisor of 27 and a? 9 Let z be (-1)/((1 - 4)/81). Suppose -s + 6 = 7. Let g be -3*(s - (9 + -1)). Calculate the highest common factor of z and g. 27 Suppose 0 = -2*p + 4*p - 114. Let t = -7 + 9. Let n be (t/6)/((-1)/(-114)). What is the highest common factor of p and n? 19 Let q(s) = 39*s - 33. Let b be q(9). Calculate the highest common factor of 6 and b. 6 Suppose 410 = 8*s + 98. Let q(k) = -3*k + 2. Let r be q(-8). Calculate the highest common divisor of r and s. 13 Let c be 1312/56 - (-6)/(-14). Let i = 5 - 2. Suppose 0 = 2*o - 3*f - 73, f - 116 + c = -i*o. Calculate the highest common factor of o and 4. 4 Let p = -5 + 9. Let u be 1 - ((-84)/p - -1). What is the greatest common factor of u and 189? 21 Suppose -5*y + 4*q = -177, 0*y = -3*y - 3*q + 90. What is the greatest common factor of 264 and y? 33 Let z(m) = -64*m + 2. Suppose -2*x + 13 = -0*x - 5*y, x = 3*y + 8. Let r be z(x). What is the greatest common divisor of r and 44? 22 Let n(f) = -f**2 - 21*f - 38. Let m be n(-18). What is the greatest common factor of m and 64? 16 Let d(l) = -l**2 + 17*l. Let b be d(17). Suppose b*h - 4*h + 272 = 0. Calculate the highest common factor of 170 and h. 34 Let y = 46 - 21. What is the highest common divisor of y and 175? 25 Let v(w) = -2*w + 3. Let m be v(-3). Suppose -m = 4*j - 5. Let p = 2 + j. Calculate the greatest common factor of 9 and p. 1 Let c = -1641 - -2256. What is the greatest common factor of c and 45? 15 Let b = -10696 + 10748. Suppose -4*p = z - 57, 0*z = p - 2*z - 3. Calculate the highest common factor of b and p. 13 Suppose 106213 = 111*s + 16969. Calculate the highest common divisor of s and 24. 12 Suppose 5*o + 4*t = 29, -3*o - o - t + 21 = 0. Let h = -11 - o. Let b = 20 + h. Calculate the greatest common factor of 4 and b. 4 Suppose -j = -5*k - 177, -80*k = -j - 85*k + 187. What is the greatest common factor of j and 169? 13 Suppose -4*u + 33 = 9. Let c = u + 30. Calculate the greatest common divisor of 9 and c. 9 Let v = -14 + 28. Suppose -5*u + 45 = b + 4*b, 0 = -2*b + 2*u - 2. Let p be b/v - 236/(-7). Calculate the greatest common divisor of 51 and p. 17 Suppose 102*p = 97*p + 2030. What is the highest common divisor of p and 58? 58 Let p be 559 - 3 - -11 - 0. Calculate the highest common factor of 243 and p. 81 Suppose 0 = 35*i - 41*i + 5304. Calculate the highest common factor of i and 13. 13 Suppose 5*f = 9*f + 84. Let r be (-1)/(f/(-6) + -4). Let n be 200/r + 11/(-11). Calculate the greatest common factor of 9 and n. 9 Let b be (1940/24 + 5/30)*1. Calculate the highest common factor of b and 9. 9 Let m be 70*(-6)/12*5. Let w = -164 - m. Suppose 4*p = -5*a - p + 340, 5*a - 332 = -p. What is the greatest common divisor of w and a? 11 Suppose -3*p = 2*r - 109, 3*p - 4*r + 5*r - 110 = 0. Let y be 329/7 + (-60)/6. Calculate the highest common factor of p and y. 37 Suppose -23*k = -25*k - 3*o + 12, 17 = 5*k + o. Calculate the greatest common divisor of k and 89. 1 Suppose 5*u - 92 - 48 = 0. Suppose 0*p + 45 = p - l, 4*l - 72 = -2*p. Calculate the highest common factor of u and p. 14 Let a(d) = -1 - 2 - 6 - 13*d. Let n be a(-3). Calculate the highest common factor of 240 and n. 30 Let s be ((-12)/(-2))/(134/1005). Calculate the greatest common divisor of 540 and s. 45 Suppose -2*y - 3*h - 2 = 3*y, -4*y + 3*h = -20. Suppose 3*u - 13 = -4*w + 15, 0 = y*w + 4. What is the greatest common divisor of 12 and u? 12 Let p(s) = -107*s + 2. Let f be p(-2). Let q = -7 + f. Suppose 5 = -m + 2, 13 = y + 2*m. Calculate the highest common divisor of q and y. 19 Suppose -8*v - 20 = -132. What is the greatest common factor of v and 238? 14 Let t = 12 + 5. Suppose 0 = 2*o + 6, -4*f + 2*o - t = -83. Suppose 4*a + 424 = 4*v, -3*v + 5*a = 16 - 336. What is the highest common divisor of v and f? 15 Suppose i - 4*i - 4*r = -406, -3*r - 696 = -5*i. Calculate the greatest common divisor of i and 18. 6 Suppose -j = b - 67, -j - 2*b = -2*j + 64. Calculate the greatest common divisor of 77 and j. 11 Let a(o) = o**2 - 3*o + 5. Let t be a(3). Let d be 5 + -9 + t + (1 - -5). Calculate the greatest common factor of 2 and d. 1 Suppose 215*k - 213*k + 16 = 0. Let d be (3 + -6)/(2 - 1). Let q be 102/k*(d + -5). What is the highest common factor of q and 68? 34 Let j(d) = -d**2 - 6*d - 4. Let b be j(-4). Let v(c) = -9*c + 1 + b*c + 3*c. Let a be v(-1). What is the greatest common divisor of 3 and a? 3 Let k be 1/(1/(-2) - -1). Suppose -k*i + 85 = -7*i - 2*d, 3*d = -15. Let p be (-4)/(20/i) - 0. Calculate the highest common factor of p and 24. 3 Suppose -q + 5*h = 4*h - 70, h = 2*q - 142. Calculate the highest common divisor of 1296 and q. 72 Let i(d) = -3*d + 39. Let t be i(9). Let c be (-18)/(-15)*150/t. What is the highest common divisor of 15 and c? 15 Suppose 119 = -7*d + 637. Calculate the highest common divisor of 2 and d. 2 Let z = 70 + -125. Let t = z + 60. What is the greatest common divisor of t and 5? 5 Let p be (-786)/4*(-56)/21. Suppose 4*s = p - 92. What is the greatest common divisor of 12 and s? 12 Let v = 288 + -278. What is the greatest common factor of v and 50? 10 Suppose 7*j = -38*j + 45. Calculate the greatest common divisor of 151 and j. 1 Let t(m) = 9*m - 51. Let g be t(20). Let b = g + -91. Calculate the greatest common divisor of 38 and b. 38 Suppose 648*x = 649*x - 594. What is the greatest common factor of x and 66? 66 Let k be ((-270)/24)/(1/(-16)). What is the highest common fac
{ "pile_set_name": "DM Mathematics" }
eatest common divisor of 42 and 166799346. 42 What is the highest common factor of 30769837 and 966? 161 What is the highest common divisor of 73772093 and 94? 47 What is the greatest common factor of 300563 and 2126413? 2809 Calculate the highest common factor of 963 and 7071630. 321 What is the highest common divisor of 334056 and 61752? 744 What is the highest common factor of 174 and 52863694? 58 Calculate the greatest common factor of 59704 and 218528. 8 Calculate the greatest common divisor of 4194036 and 1721972. 2492 What is the greatest common divisor of 37921430 and 24792? 2066 Calculate the greatest common divisor of 2415413 and 569468. 2413 What is the greatest common divisor of 1708 and 38866996? 28 Calculate the greatest common divisor of 108 and 36192339. 27 What is the greatest common factor of 2200 and 285550? 50 What is the greatest common factor of 14470337 and 2597? 49 What is the highest common divisor of 111546 and 288? 18 Calculate the highest common divisor of 1075 and 465925. 25 What is the highest common divisor of 2621220 and 1176? 84 What is the greatest common divisor of 5117338 and 4826? 254 What is the greatest common divisor of 5677 and 293699? 7 Calculate the highest common factor of 397 and 5080818307. 397 Calculate the greatest common divisor of 103464 and 60833. 479 Calculate the highest common factor of 28 and 17151022. 14 What is the highest common divisor of 938121444 and 14940? 2988 Calculate the greatest common divisor of 1296 and 7807374. 54 Calculate the greatest common factor of 142345 and 140851. 83 What is the greatest common factor of 859449 and 291? 3 What is the greatest common divisor of 4408 and 1673618420? 2204 Calculate the greatest common factor of 447419 and 637. 49 What is the highest common divisor of 339928 and 8984? 8 What is the greatest common divisor of 78025 and 5825? 25 What is the greatest common factor of 22829 and 73149? 37 What is the highest common factor of 15566 and 6230356? 86 Calculate the greatest common divisor of 184553434 and 13. 13 Calculate the greatest common factor of 6047055 and 2212. 553 What is the greatest common factor of 1255603 and 76415? 17 Calculate the highest common divisor of 506400 and 31800. 600 What is the greatest common divisor of 569196 and 1269342? 1746 Calculate the greatest common divisor of 16584 and 49258626. 4146 Calculate the greatest common factor of 29492826 and 3828. 1914 Calculate the greatest common factor of 10220 and 8107526. 1022 Calculate the greatest common divisor of 1498 and 51057618. 214 Calculate the highest common divisor of 33293 and 162131. 197 What is the greatest common divisor of 6038474 and 46176? 962 Calculate the greatest common divisor of 68276 and 2244220. 404 Calculate the highest common divisor of 254 and 261089521. 127 What is the highest common factor of 18653 and 21160? 23 What is the greatest common factor of 54613 and 30004? 13 Calculate the highest common divisor of 7939614 and 3486. 498 What is the highest common factor of 1032416 and 1617? 77 Calculate the highest common divisor of 13692 and 10479596. 652 Calculate the greatest common factor of 499 and 130618739. 499 Calculate the greatest common factor of 85924 and 1476. 4 Calculate the greatest common factor of 54195500 and 900. 100 What is the highest common factor of 10199 and 259439? 31 Calculate the highest common factor of 16 and 18781484. 4 What is the greatest common divisor of 2763655 and 55? 5 Calculate the greatest common factor of 36 and 1445139. 9 Calculate the highest common factor of 912120 and 23370. 30 What is the highest common divisor of 27 and 77307489? 9 Calculate the greatest common factor of 468 and 2837874. 78 Calculate the greatest common divisor of 29583 and 8873. 19 Calculate the highest common factor of 4507624 and 127633. 3113 What is the greatest common divisor of 1730130 and 557520? 3030 What is the highest common factor of 176219 and 99651? 563 Calculate the greatest common factor of 30652 and 1742740. 316 Calculate the greatest common factor of 544 and 800258. 34 What is the greatest common divisor of 85359720 and 96? 24 What is the highest common factor of 1675 and 80725? 25 What is the highest common divisor of 12065000 and 15? 5 Calculate the greatest common factor of 22543735 and 2935. 2935 What is the highest common factor of 3357 and 61311875? 373 What is the greatest common divisor of 25867756 and 37980? 844 Calculate the greatest common divisor of 170536181 and 2692. 673 What is the greatest common factor of 132997 and 168661? 743 What is the highest common factor of 301 and 1187316? 43 What is the highest common factor of 3076 and 735216292? 3076 Calculate the highest common factor of 4158587 and 57. 19 Calculate the greatest common factor of 6580 and 1181695620. 6580 Calculate the highest common factor of 1677009 and 20784. 1299 Calculate the highest common divisor of 1595 and 51363565. 55 Calculate the greatest common factor of 25384479 and 1403. 1403 What is the greatest common factor of 3149602 and 674? 674 What is the greatest common divisor of 5076 and 442692? 108 Calculate the greatest common divisor of 560807 and 6802. 179 What is the greatest common divisor of 21153 and 74811? 33 What is the highest common factor of 372 and 6495306? 186 Calculate the highest common factor of 3604856 and 9256. 712 Calculate the greatest common factor of 27150 and 30032425. 4525 Calculate the highest common divisor of 2409693 and 243048. 1599 What is the greatest common divisor of 386505 and 5103? 189 Calculate the greatest common factor of 1586 and 1370243. 61 Calculate the highest common factor of 112941 and 2773. 47 Calculate the greatest common factor of 9200 and 18620. 20 What is the greatest common factor of 7247248 and 128? 16 What is the highest common divisor of 28 and 10973662? 14 Calculate the highest common divisor of 312 and 685451364. 156 Calculate the highest common divisor of 66464 and 331328. 992 What is the greatest common factor of 377862 and 2100? 6 What is the highest common divisor of 108898746 and 66? 66 Calculate the greatest common factor of 346482 and 3834. 18 Calculate the greatest common factor of 2960 and 1909348. 148 Calculate the highest common divisor of 1424661 and 34489. 2653 What is the highest common divisor of 38972739 and 543? 543 What is the greatest common factor of 28639 and 8812000? 2203 What is the greatest common factor of 72474 and 65142? 282 Calculate the highest common divisor of 83026599 and 16359. 2337 Calculate the greatest common factor of 136 and 3388184. 8 What is the highest common factor of 2532575 and 2841635? 8585 What is the highest common divisor of 2076331776 and 708? 708 What is the highest common divisor of 8034 and 2289? 3 What is the highest common factor of 63 and 2455523? 7 What is the greatest common factor of 3079029 and 222? 111 What is the greatest common divisor of 410 and 1282780? 10 What is the greatest common divisor of 23551638 and 349338? 5214 Calculate the highest common divisor of 103028127 and 19. 19 Calculate the greatest common divisor of 47724027 and 26. 13 Calculate the greatest common factor of 223279717 and 34. 17 Calculate the highest common factor of 4806793 and 184. 23 What is the highest common divisor of 14651406 and 462? 462 What is the highest common divisor of 13758108 and 4368? 1092 Calculate the highest common divisor of 3832830 and 52560. 90 What is the highest common factor of 12956 and 87863? 41 Calculate the highest common divisor of 1703 and 62595. 13 What is the greatest common divisor of 3458342 and 10792? 38 What is the highest common divisor of 16896 and 40624? 16 What is the greatest common divisor of 183061 and 122? 61 Calculate the greatest common factor of 32052272 and 6160. 112 Calculate the highest common factor of 6496616 and 13048. 56 What is the highest common divisor of 12760 and 36411408? 88 Calculate the highest common factor of 604232 and 317344. 376 What is the highest common factor of 9780 and 13290? 30 Calculate the greatest common divisor of 246 and 35091039. 123 What is the greatest common factor of 120 and 187761768? 24 Calculate the greatest common divisor of 424 and 95017552. 424 What is the hig
{ "pile_set_name": "DM Mathematics" }
n denominator of -145/308142 and -89/44. 6779124 What is the smallest common multiple of 24204 and 39? 314652 What is the common denominator of 113/7809228 and 157/371868? 7809228 What is the lowest common multiple of 48 and 5041744? 15125232 Calculate the common denominator of 137/12030 and -16/56541. 565410 Calculate the common denominator of 5/13096 and 1/3346028. 6692056 What is the least common multiple of 51142 and 15061319? 30122638 Find the common denominator of 43/1324 and -103/5678. 3758836 What is the lowest common multiple of 1089 and 149451? 54250713 Calculate the lowest common multiple of 152813 and 12767. 114762563 Find the common denominator of 103/1373706 and -53/4698. 119512422 Calculate the smallest common multiple of 26300256 and 76. 26300256 What is the least common multiple of 408 and 8922480? 151682160 Calculate the common denominator of -139/504 and 155/6168456. 6168456 Calculate the common denominator of -127/207240 and -119/18962460. 37924920 What is the lowest common multiple of 2160 and 115809120? 347427360 What is the common denominator of -37/1314 and -58/125960697? 251921394 Calculate the common denominator of 149/4536 and 85/757512. 757512 Calculate the least common multiple of 972501 and 60. 19450020 What is the least common multiple of 5159985 and 3095991? 15479955 Find the common denominator of -59/1842204 and 127/182196. 16579836 Find the common denominator of -8/145727 and 16/37969. 128676941 What is the smallest common multiple of 2105769 and 177? 2105769 Calculate the lowest common multiple of 35806157 and 439. 35806157 Calculate the least common multiple of 300186 and 236385. 154595790 What is the lowest common multiple of 10 and 285813925? 571627850 Find the common denominator of 103/506 and -77/347852. 3826372 Calculate the common denominator of -19/158931 and -61/2595873. 7787619 What is the common denominator of -101/1756676 and 81/23222? 29863492 What is the least common multiple of 92703808 and 8? 92703808 Calculate the smallest common multiple of 15176874 and 1965. 75884370 What is the least common multiple of 111033 and 226395? 214848855 What is the smallest common multiple of 1515563 and 76? 115182788 Find the common denominator of -151/138 and -19/2022758. 6068274 What is the common denominator of -47/192 and -75/4988096? 14964288 What is the common denominator of -47/22 and -13/584773538? 6432508918 What is the least common multiple of 219020 and 517? 2409220 What is the smallest common multiple of 46844 and 257642? 515284 What is the least common multiple of 1256 and 256538? 1026152 What is the common denominator of -31/6088658 and -6/41867? 42620606 Find the common denominator of -77/76 and -89/295068. 5606292 What is the least common multiple of 1950 and 6989970? 34949850 Calculate the lowest common multiple of 1254786 and 2509572. 2509572 Find the common denominator of -107/802872 and -169/96180. 919288440 What is the common denominator of -69/127468 and 115/15574272? 171316992 What is the common denominator of -29/8098782 and 20/81? 218667114 Calculate the least common multiple of 22294128 and 1807632. 66882384 What is the common denominator of -109/13032530 and 131/4900? 130325300 Calculate the common denominator of -217/2758080 and 25/28. 19306560 What is the lowest common multiple of 9168644 and 757044? 82517796 What is the smallest common multiple of 1374912 and 122760? 6874560 Calculate the least common multiple of 50 and 214225215. 2142252150 What is the lowest common multiple of 2124 and 1254? 443916 Calculate the common denominator of 37/112194 and 53/66240. 17951040 What is the least common multiple of 1352 and 1456078? 75716056 Calculate the common denominator of 101/101646064 and 103/114351822. 914814576 Calculate the least common multiple of 16992 and 41472. 2446848 What is the smallest common multiple of 6713343 and 28104? 53706744 What is the least common multiple of 48 and 1190934? 9527472 Calculate the common denominator of -1/110100 and -133/240. 440400 Calculate the smallest common multiple of 3376348 and 492. 415290804 Calculate the lowest common multiple of 91312 and 863096. 757798288 Calculate the common denominator of -73/80 and 69/419840. 419840 What is the common denominator of -1/1164312 and -43/889920? 139717440 Calculate the lowest common multiple of 17232 and 152. 327408 What is the lowest common multiple of 4864140 and 180? 4864140 Find the common denominator of -36/325 and -89/20230. 1314950 What is the least common multiple of 18298 and 13006? 16998842 What is the common denominator of 9/4037119 and -14/9535? 20185595 What is the least common multiple of 7 and 109710754? 767975278 What is the least common multiple of 46956 and 134418? 24464076 Calculate the common denominator of -59/144932 and 39/152. 289864 Calculate the least common multiple of 48276 and 269550. 722933100 What is the smallest common multiple of 3458928 and 1886688? 20753568 Calculate the lowest common multiple of 20343830 and 8763496. 569627240 What is the lowest common multiple of 58514517 and 13003226? 117029034 Find the common denominator of 27/1510 and 103/656580. 99143580 What is the lowest common multiple of 1129080 and 43068? 41775960 Find the common denominator of -37/10867350 and -19/1448980. 21734700 Calculate the lowest common multiple of 12 and 7815642. 15631284 What is the smallest common multiple of 1644125 and 30909550? 154547750 What is the lowest common multiple of 874857 and 8? 6998856 Calculate the common denominator of 28/6307005 and 79/120. 50456040 What is the smallest common multiple of 867510 and 770? 9542610 What is the common denominator of -39/25907 and 65/115962? 429175362 What is the lowest common multiple of 33 and 4620594? 4620594 Calculate the lowest common multiple of 2230666 and 44858. 24537326 Calculate the common denominator of -11/12342240 and -53/32040. 1098459360 Calculate the common denominator of -20/3597251 and -24/19. 3597251 What is the least common multiple of 16 and 14436072? 28872144 Calculate the common denominator of -39/352085 and -109/83080. 87317080 Calculate the common denominator of 17/296153793 and 47/9. 296153793 Calculate the common denominator of 85/271018 and -127/924. 11382756 What is the smallest common multiple of 10693 and 10438? 6565502 Calculate the lowest common multiple of 4230632 and 238826. 29614424 What is the least common multiple of 3030776 and 3896712? 27276984 What is the common denominator of -56/23923089 and 65/3537? 71769267 Calculate the common denominator of 51/2597 and 62/77931. 28912401 What is the least common multiple of 2702 and 3634190? 3634190 Calculate the smallest common multiple of 108 and 116010. 696060 Calculate the common denominator of -46/57525 and 139/780. 230100 Calculate the lowest common multiple of 26553636 and 83502. 26553636 Calculate the common denominator of -50/3441 and 93/8496532. 790177476 Calculate the common denominator of 19/526 and 9/18044. 4745572 What is the least common multiple of 50 and 284010? 1420050 Calculate the lowest common multiple of 2003145 and 2003145. 2003145 What is the lowest common multiple of 1590657 and 690? 15906570 Calculate the lowest common multiple of 9360 and 205056. 13328640 Calculate the common denominator of 7/64702 and -97/35292. 388212 What is the common denominator of -103/39387084 and -61/18? 118161252 Find the common denominator of 101/65010 and -109/231462. 227990070 What is the common denominator of 23/33840 and 29/451764? 9035280 What is the common denominator of 107/32036190 and -91/45? 96108570 Calculate the lowest common multiple of 58364 and 12860. 187640260 Calculate the lowest common multiple of 770382 and 702. 30044898 Find the common denominator of -25/223750386 and 62/35065359. 4698758106 Calculate the common denominator of -87/27016 and -21/40283312. 443116432 What is the smallest common multiple of 8826 and 28044? 41252724 What is the lowest common multiple of 2649126 and 12? 5298252 What is the common denominator of 28/52925 and 77/20? 211700 Find the common denominator of 89/24500346 and 35/16019457. 416505882 What is the common denominator of 143/32742 and -37/93330? 9986310 Calculate the common denominator of 61/2600 and 17/
{ "pile_set_name": "DM Mathematics" }
2 + 4*h**w - 4*h**3 wrt h? 18 Suppose -8 - 8 = -2*l. What is the derivative of l - 3 - 4*w**2 - 3*w**2 wrt w? -14*w Let b(i) be the first derivative of -4*i**6/3 - i**2/2 + 2. What is the second derivative of b(u) wrt u? -160*u**3 Let s(j) be the second derivative of j**10/7560 - j**7/840 - j**4/12 + 3*j. Let l(k) be the third derivative of s(k). Find the third derivative of l(a) wrt a. 240*a**2 Find the second derivative of 0*p**4 + 22*p - 2*p**4 - 26*p wrt p. -24*p**2 Find the third derivative of -19 - 3 - 3*r**5 - 10*r**3 - 2*r**2 - 5 wrt r. -180*r**2 - 60 Let y(x) be the third derivative of 1/120*x**6 + 0 + 0*x**4 + 1/6*x**3 + 0*x**5 - x**2 + 0*x. What is the first derivative of y(n) wrt n? 3*n**2 Let f(i) = -3*i**3 + 1 + 1 + 2*i**3 + 11*i**2 + 1 + 12*i. Let q be f(12). Find the second derivative of -3*c + 5*c - q*c + 4*c**2 wrt c. 8 Let d(a) be the second derivative of -21*a**5/20 + 5*a**4/4 + 4*a. Find the third derivative of d(x) wrt x. -126 What is the second derivative of b**2 - 16*b + 16*b**3 - b**2 + 0*b**2 wrt b? 96*b What is the second derivative of -31*i + i + 54*i**5 - 26*i**5 wrt i? 560*i**3 Let x(c) be the second derivative of -4*c**3/3 + 6*c**2 + 23*c. What is the derivative of x(v) wrt v? -8 Let w be 2*4*(-9)/(-12). Let q(x) = x**3 - 3*x**2 - 2*x - 3. Let j be q(4). Find the second derivative of -w*d + 0*d**5 - 2*d**j + 2*d wrt d. -40*d**3 Let i(w) be the second derivative of 2*w**5/5 - 4*w**2 - 9*w. Differentiate i(u) with respect to u. 24*u**2 Let c = 12 + -10. Find the third derivative of -3*i**4 + 2 - 2 - 6*i**c + 7*i**2 wrt i. -72*i What is the derivative of 4 - 9*p**3 + 4 + 2 - 2 wrt p? -27*p**2 Let v(z) be the second derivative of -3*z**8/14 + 13*z**4/12 + 9*z. Find the third derivative of v(b) wrt b. -1440*b**3 Let m(c) = 4*c. Let f be m(2). Find the third derivative of -4*x**2 - f*x**5 - x**2 + 2*x**5 wrt x. -360*x**2 Find the first derivative of -5*b**2 + 5 - 3 + 6 + b**2 wrt b. -8*b Let g(c) be the first derivative of -c**4/2 + 2*c**2 - 4. What is the second derivative of g(s) wrt s? -12*s Let a = -13 - -19. Suppose 1 + 14 = 3*p. Find the second derivative of -p*q - a - 5*q**4 + 6 wrt q. -60*q**2 Let s = 8 - 7. Let i(f) be the first derivative of -f**2 + 0*f - 1/2*f**4 - s + 0*f**3. What is the second derivative of i(k) wrt k? -12*k Let l be 2 - (0 + (1 - -1)). Let t be (l - 4)/(-1 - 1). Find the second derivative of y + 10*y**2 - 4*y**t - 4*y**2 wrt y. 4 Let l(u) be the second derivative of -u**7/420 + u**5/60 + u**3/6 + u. Let z(b) be the second derivative of l(b). What is the second derivative of z(j) wrt j? -12*j Let v(c) be the second derivative of -9*c**7/7 + 3*c**4/4 + c**3/6 - c + 18. Find the third derivative of v(d) wrt d. -3240*d**2 Let n = 12 - 5. Let r be (2/n)/((-5)/(-35)). Find the first derivative of -r*c**3 - 3*c**3 + 3*c**3 + 2 wrt c. -6*c**2 Let c(q) = -q**3 - 6*q**2 - q - 4. Let y be c(-6). Find the second derivative of 2*p - 2*p - 2*p - y*p**3 wrt p. -12*p Let c(i) be the second derivative of -i**6/10 + i**4 + 14*i. Find the third derivative of c(d) wrt d. -72*d Find the third derivative of 436*x**2 + 3*x**3 - 5*x**3 - 431*x**2 wrt x. -12 Suppose -5*k + 12 = -18. Find the third derivative of -h**6 - 2*h**k + 0*h**6 + 3*h**2 + 0*h**2 wrt h. -360*h**3 Suppose -8 = -3*u - 2. Find the second derivative of -5*y**2 + y**2 + u*y + 3 - 3 wrt y. -8 Let q(y) = -6*y**3 + 2*y**2 - 2*y + 5. Let w(a) = 7*a**3 - 3*a**2 + 3*a - 6. Let h(l) = 3*q(l) + 2*w(l). What is the first derivative of h(j) wrt j? -12*j**2 Let o(k) be the first derivative of 0*k + 0*k**2 - 7/3*k**3 - 1/2*k**4 - 1. What is the third derivative of o(x) wrt x? -12 Suppose 0 = -10*u + 8*u + 10. What is the second derivative of -4*q**5 + 0*q + 7*q - q - q**u wrt q? -100*q**3 What is the third derivative of 3*b**2 - 14*b**4 + 52*b**4 + 31*b**2 wrt b? 912*b Let y(g) be the third derivative of g**7/120 + 7*g**4/24 + 5*g**3/3 + 2*g**2. Let f(z) be the first derivative of y(z). Differentiate f(w) with respect to w. 21*w**2 Let w(d) = 4*d + 23. Let l(x) = -2*x - 12. Let i(v) = -7*l(v) - 4*w(v). Let z be i(-6). What is the second derivative of 4*m**3 + 2*m - 3*m**4 - z*m**3 wrt m? -36*m**2 Suppose -2*r = 3*r - 20. What is the third derivative of -2*z**r + 9*z**4 + 2*z**2 + z**2 + 3*z**2 wrt z? 168*z Let j(b) = 27*b**3 + 2*b**2 + 33*b - 2. Let y(i) = 55*i**3 + 5*i**2 + 65*i - 5. Let k(f) = 5*j(f) - 2*y(f). What is the second derivative of k(g) wrt g? 150*g Let b = 19 - 17. Find the third derivative of 9*j**b - j**4 - 17*j**2 + 4*j**2 + 0*j**4 wrt j. -24*j Let f(j) be the second derivative of 23*j**8/56 + 3*j**4/4 - 19*j. What is the third derivative of f(d) wrt d? 2760*d**3 Let c(h) be the first derivative of -h**4/2 - 5*h**3/6 + h + 2. Let x(g) be the first derivative of c(g). What is the second derivative of x(b) wrt b? -12 Let a(d) be the third derivative of -1/24*d**4 + 0*d + 0 - 1/70*d**7 + 0*d**5 - 2*d**2 + 0*d**6 + 0*d**3. Find the second derivative of a(b) wrt b. -36*b**2 Let j(b) be the second derivative of -b**6/6 + b**4/6 + 17*b**2 + 11*b - 1. Differentiate j(m) with respect to m. -20*m**3 + 4*m What is the third derivative of -50*i**3 - 19*i**4 + 100*i**3 - 50*i**3 - 6*i**2 wrt i? -456*i Let g be 0 + 2 + -1 + 2. What is the third derivative of 2*l**3 + 0*l**g + 2*l**3 - l**3 + 2*l**2 wrt l? 18 Let w(j) be the first derivative of 27*j**4/4 + j**3/3 + 11*j**2/2 - 51. What is the third derivative of w(q) wrt q? 162 Let t(b) be the third derivative of b**6/15 + b**5/20 + b**4/12 - 12*b**2 - b. Find the third derivative of t(n) wrt n. 48 Let a be 2/(-10) - 11/(-5). Let m(n) be the first derivative of 6*n**2 + 3 + 3*n - 2*n**2 - 5*n**a. Find the first derivative of m(c) wrt c. -2 Let v(h) be the first derivative of -4*h**5/5 + 7*h**3/3 + 6. What is the third derivative of v(z) wrt z? -96*z Let y be 1*3 + (-4 - -5). Let b(f) = f**2 - 2*f - 4. Let o be b(y). What is the second derivative of 2*q - q**o - q + 3*q**4 wrt q? 24*q**2 Suppose n + 3*n + 184 = 3*q, 0 = -3*q - 4*n + 152. Find the third derivative of 2*t**2 - 2*t**3 - q + 56 wrt t. -12 Find the third derivative of 20*c**2 + 1262*c**3 - 19*c**5 - 1262*c**3 wrt c. -1140*c**2 Suppose 0 = -2*s - 2*s. What is the second derivative of 0*b + b**3 + s*b + 2*b - 5*b wrt b? 6*b Let j(u) = -11*u**3 + u**2 + 2*u - 2. Let s(w) = -w**3 + w - 1. Let c(o) = j(o) - 2*s(o). What is the third derivative of c(d) wrt d? -54 Let a(c) be the second derivative of c**4/2 + c**2/2 + 2*c. What is the first derivative of a(d) wrt d? 12*d Suppose w - 12 = -6*g + 2*g, 0 = -g - 3*w - 8. Let m be (-4)/(6/(-3)) - 2. What is the third derivative of -2*t**g + t**2 - 2*t**2 + m*t**2 wrt t? -48*t Let v = 9 - 7. What is the derivative of c + v + 0*c + 0*c wrt c? 1 Let b(h) = -h**3 - h**2 + h - 1. Let x(c) = -13*c**3 - 8*c**2 + 6*c - 6. Let r(f) = 6*b(f) - x(f). What is the third derivative of r(d) wrt d? 42 Let w = 57 - 55. Let t(k) be the second derivative of 0 + k - 1/30*k**6 + 0*k**3 + 0*k**5 - 1/2*k**w + 0*k**4. Differentiate t(z) wrt z. -4*z**3 Let b(o) = o**2 + 5*o + 4. Let i be b(-5). Let l(u) = u**2 + 7*u - 6. Let p be l(-8). What is the third derivative of -2*s**2 + 7*s**p - i*s**4 - s**2 wrt s? -96*s Let b be (-2)/4*(-2 + -48). Suppose -3*n + 6*h = h + 16, -b = -5*h. What is the second derivative of -2*z**3 + z + 0*z**3 + 0*z - n*z wrt z? -12*z Let b(k) be the third derivative of k**7/15 + 3*k**4/4 - 7*k**2. Find the second derivative of b(a) wrt a. 168*a**2 Let a(h) = h**2 - h + 1. Let i be a(2). Find the third derivative of 2*j**3 - 3*j**3 - 2*j**i - 3*j**2 wrt j. -18 Suppose -5*v + 4*m + 30 = 0, 34 + 6 = 2*v + 4*m. Suppose 5*y - 5 - v = 0. Differentiate 1 - y + 4 - 2*f with respect to f. -2 Let j(t) = t**2 - 2*t + 21. Let v be j(0). Find the second derivative of v*w**3 - w - 14*w**3 - 5*w wrt w. 42*w Differentiate -2 + 1 + 34 - z**2 - 13*z**2 wrt z. -28*z Suppose -m + 2*p + 10 = 0, -3*m - p + 0*p = 5. Suppose m*o - o = -1. Differentiate -2*g - g + 2*g + o wrt g. -1 Let q(j) be the second derivative of j**8/28 - 13*j**7/42 - j**4/12 + 11*j**3/6 - 54*j. Find the third derivative of q(m) wrt m. 240*m**3 - 780*m**2 What is the second derivative of 63 + 2*a**2 - 63 + 4*a + 3*a**2 wrt a? 10 Let c(h) = 0 + 6*h**2 - 1
{ "pile_set_name": "DM Mathematics" }
Let m(g) = -g**3 + g**2 + g + 6. Let n(c) = z*h(c) + 3*m(c). Give n(0). 8 Suppose 0 = 5*r + 16 - 6. Let m = -84 - -87. Let q(u) = -8*u**2 - 4*u - 3. Let i(o) = -9*o**2 - 5*o - 5. Let h(b) = m*q(b) - 2*i(b). Give h(r). -19 Let v = 9831 - 9831. Let k(p) = 2*p**3 - p**2 - 3*p - 5. What is k(v)? -5 Let p be (0 - (-18)/27)*9. Let a(h) = 5*h**2 + 7 - 6*h**2 + 10*h - 9*h**2 + 17*h**2 - p*h**2. Calculate a(-7). -14 Let a(h) = -h**2 + 1 + 3*h - 2*h + 3*h. Suppose 2*i + o - 31 = 0, -7 = -3*i - 3*o + 38. Suppose 0 = -15*m + i*m + 3. What is a(m)? -20 Let p be 1*2 + (1 - -1). Suppose 2*k - 4 = -10. Let x(u) = -10*u - 1. Let y(z) = -4*z - 1. Let v(m) = k*x(m) + 7*y(m). Determine v(p). 4 Let z be 10 - 21 - 33/(-3). Let b(f) = f**2 - 6. Determine b(z). -6 Let q(f) be the first derivative of f**3/3 + 8*f**2 - 55*f - 571. What is q(-19)? 2 Let a(r) = r**3 + r**2 - 3*r + 1. Let k = -5510 + 5513. Give a(k). 28 Let b(a) = 46*a + 6. Let l = 406 - 407. Determine b(l). -40 Let i(m) = -2*m**3 + 3*m**2 - m + 6. Let d(b) = 33*b + 259. Let t be d(-8). Let n(p) = 3*p**3 - 6*p**2 + p - 11. Let y(a) = t*i(a) - 3*n(a). Calculate y(-2). 3 Let s be (21/14)/(2/(-8)). Let r(f) be the third derivative of 0*f - 1/12*f**4 + 0 - 47*f**2 - 2/3*f**3. Determine r(s). 8 Let g(n) = 2*n - 2. Let r = 22 + -14. Suppose r = -u + 10. What is g(u)? 2 Let m(j) = j - 4. Let l(z) = 4*z - 11. Let a(w) = -4*l(w) + 11*m(w). Suppose p = -4*x - 2*p - 143, -3*p = x + 29. Let s = x + 37. Calculate a(s). 5 Let j(k) = -7*k**2 + 46*k - 25. Let m(a) = 15*a**2 - 101*a + 49. Let p(w) = -13*j(w) - 6*m(w). Give p(-6). 19 Let h(d) = 11*d**2 + 22*d - 8 + 22*d - 64*d + 21*d - d**3. Suppose -8*b + 5*b = 5*r + 40, 4*r = -3*b - 35. Let a be (r - 1 - -17)*(1 + 0). Determine h(a). 3 Let p(f) = -f**2 + 4*f + 11. Let c be p(0). Suppose -13*i - 72 = c*i. Let u(h) = h - 5. Give u(i). -8 Let n(b) = 7*b - 14. Suppose -3 = 4*k - g, 3*g - 9 = -4*k + 16. What is n(k)? -7 Let q = 532 - 528. Let o(t) = -7*t - q*t + 2*t - 2 + 6*t - 2*t. What is o(7)? -37 Suppose -3*u + 304 = 14*u + 21*u. Let p(s) = 11*s - 10. Let c(t) = -5*t + 5. Let w(n) = -9*c(n) - 4*p(n). Calculate w(u). 3 Let r(z) = 0*z**2 - 5*z**2 - 1 - 37*z + 42*z + 472*z**3 - 471*z**3. Suppose 13 = 4*v + 5. Suppose 0 = 3*n - p - 13, -n - p = v*n - 11. Determine r(n). 3 Let k(w) be the third derivative of -3*w**4/4 + 71*w**3/3 - 36*w**2 - 41. Calculate k(8). -2 Let t(b) = -2*b**2 - 3*b + 1. Let y(h) = 10 + 5 - 5*h - 3*h**2 - 14. Let n(j) = 5*t(j) - 3*y(j). Give n(-5). -23 Let l(v) = v**2 - 4. Let i(o) = -6*o**2 - 3*o + 18. Let s(a) = -i(a) - 5*l(a). Suppose 15*k - 16 = 14*k. Let g be 2*-4 + k/4. What is s(g)? 6 Suppose -3*n - 11 - 1 = 0. Let h(a) be the third derivative of -a**6/120 + a**3/2 - 90*a**2. Let b(z) = -z**2. Let t(u) = 4*b(u) + h(u). What is t(n)? 3 Suppose -8 + 148 = 5*c. Let v be 624/c + 6/(-21). Suppose 0 = -3*z - 2 - v. Let g(b) = b**3 + 7*b**2 - 10*b - 4. Give g(z). 12 Let q(n) = 39 - 2*n**2 + 0*n**2 - 2*n**2 + 3*n**2 - 10 + 4*n. What is q(8)? -3 Suppose 6*m = -6*m + 23 + 13. Let p(q) = -q**2 + 2*q - 2. Determine p(m). -5 Suppose -t + 13 = 2*s - 2*t, -5*s - 3*t = -27. Suppose -16*y + 55 = 23. Let u(o) = -15*o**2 + 4*o**2 - 11 + 3 + 10*o**2 + y*o**2 - 3*o. Give u(s). 10 Let f(g) be the first derivative of -g**4/4 + 7*g**3/3 - 5*g**2/2 - 4*g - 1381. Let v = 10 + -4. Determine f(v). 2 Let d(f) = -2*f + 1. Let j(s) = -4*s**2 + 1. Let r(x) = 4*d(x) + j(x). Let n(m) = -m**2 - 2*m + 1. Let v(h) = 3*n(h) - r(h). Calculate v(-3). 1 Let o(r) = 10*r. Suppose 16 = -6*a + 58. Suppose 7*k - a = 14*k. What is o(k)? -10 Let u(i) = -i + 25. Let h(v) = 12. Let z(f) = -5*h(f) + 2*u(f). Let p = 3 - 7. Let r(a) = -a**2 + 5. Let b be r(p). What is z(b)? 12 Let a(j) = -j**3 + 22*j**2 - 3*j + 35. Let c be (27 - 9) + 13 - 9. Give a(c). -31 Let z be ((-20)/(-6))/((-24)/(-36)). Suppose -30 = -z*v - v. Let s(r) = -r**3 + 5*r**2 - r + 6. Determine s(v). 1 Let d(m) = -25*m**2 + 15*m + 1. Let g(t) = 69*t**2 - 43*t - 4. Let z(q) = -11*d(q) - 4*g(q). Give z(7). 5 Let u = 128 + -118. Let n(j) = 7*j - 8 - 6*j + u. What is n(-5)? -3 Suppose 0 = 2*p - 4*l - 12, 0 = -2*p - 16*l + 15*l - 3. Let s(g) be the second derivative of -18*g + 0 - 1/3*g**3 + p*g**2. What is s(2)? -4 Suppose 58 = -5*a - 42. Let f(d) be the second derivative of d**4/12 + 11*d**3/3 + 22*d**2 + 330*d. Determine f(a). 4 Suppose 2 = -35*m + 37*m - 4*y, 5*y = 4*m - 1. Let j(v) = -3*v - 3. What is j(m)? 0 Suppose 6*t + 20*t - 28 = -2*t. Let n(c) = 16*c**2 - 2*c + 1. What is n(t)? 15 Let f(j) = 56*j - 218. Let v(u) = -8*u + 33. Let c(a) = 3*f(a) + 20*v(a). Determine c(2). 22 Let w(u) = 61*u - 176. Let a(n) = 996*n - 2905. Let z(b) = 5*a(b) - 83*w(b). Determine z(1). 0 Suppose -368*x = 337*x - 709*x + 4. Let i(r) be the second derivative of 11*r**3/6 + r**2 + 2*r. What is i(x)? 13 Suppose -222 + 51 = -171*r. Let n(l) = 31*l - 2. What is n(r)? 29 Let s(l) = -13*l - 3. Let r(z) = -27*z - 7. Let x(q) = -4*r(q) + 9*s(q). Determine x(-1). 10 Let p(k) = 117*k - 84. Let s(w) = 252*w - 169. Let i(t) = 13*p(t) - 6*s(t). Calculate i(9). 3 Let l be (-2*1 - 0) + (-52 - -56). Let p be -7 + -2 + l + 14. Let b(i) = i**2 - 7*i - 8. What is b(p)? -8 Let m(l) be the third derivative of -5*l**4/12 - 32*l**3/3 - 1761*l**2. Give m(-6). -4 Let i(q) = q**2 + 11*q - 5. Suppose -a + 32 = 2*s, s - 3*a = 20 + 3. Suppose s = -15*j - 148. Give i(j). -5 Let h(j) = 7*j - 222. Let q be h(33). Let w be (q - (2 - -9))*1. Let m(t) be the first derivative of -t**3/3 - t**2/2 + 2*t + 1. Give m(w). 0 Let z = -7858 + 7864. Let t(l) = -9*l + 22. What is t(z)? -32 Let p(g) = -g**2 + 41*g - 42. Let v be p(1). Let k(o) = -o**2 + 6*o - 1. What is k(v)? -17 Let s(c) be the second derivative of 3*c - 1 - 1/3*c**3 + 3*c**2. What is s(4)? -2 Suppose 9*d - 33 = 39. Let s(o) = 24 - d*o + 18 + 18 - 57 - o**2. Give s(-8). 3 Let z(p) = 536*p**2 + 6 - p - 10 - 7 - 535*p**2. Determine z(-2). -5 Let x(f) = 2*f**2 + f + 4. Let s be x(5). Let d(k) = s - 3*k - 12 - 18 - 17. Give d(8). -12 Suppose 0 = -45*s + 191*s - 250 - 42. Let h(k) be the second derivative of 7*k**s + 0 + 21*k + 1/6*k**3. What is h(-7)? 7 Let t = -14 + 26. Let h(j) = 16 - j**3 - 3*j - 11 + t*j**2 - 8*j. Calculate h(11). 5 Let o(d) be the second derivative of -2*d**5 + d**4/12 - d**2/2 + 3*d. Let a be o(-1). Let h(p) = -p**2 + 0*p**2 - a*p + 37*p. Calculate h(-4). -4 Let s(a) = -2967*a + 5933*a - 2968*a + 24. Determine s(13). -2 Let m(h) = -15*h**3 + 16*h**2 - 23*h - 21. Let w(k) = -13*k**3 + 14*k**2 - 21*k - 19. Let i(o) = -8*m(o) + 9*w(o). Give i(-1). -3 Let i = -308 + 308. Let u(a) = 31 - a + i*a + 4*a - 21. What is u(-6)? -8 Let s be (-159)/24 + 32/(4096/(-48)). Let y(c) = c**3 + 5*c**2 - 31*c - 126. What is y(s)? -7 Suppose 2*i - 2*y - 14 = 0, 4*i - 3*y + 8 = -8*y. Suppose -i*q - 596 = -1553. Let k(f) = 319 + 5*f**2 - q + 4*f + f**3. What is k(-3)? 6 Suppose -33 = -3*l + l + 3*k, -5*l + 65 = -5*k. Let c(w) be the third derivative of w**6/120 - w**5/10 + w**4/12 - 2*w**2. Give c(l). 12 Suppose 33 = n - 11*i + 14*i, 4*i + 70 = 5*n. Suppose -5*s + n - 68 = 0. Let y(j) = 2*j + 5. What is y(s)? -15 Suppose 4*z + 56 = k, 0 = -4*z - 3*k + 10 - 50. Let q(y) = y + 30. What is q(z)? 17 Let l(b) = 3*b - 68. Let i(h) = 3*h - 78. Let m(q) = 11*i(q) - 12*l(q). Determine m(-15). 3 Let z(i) = 13*i**3 - i. Suppose -3*t = -3*l - 2*l - 17, 4*l + 16 = 3*t. Suppose -t = 5*g - 3*d, 10*g + 1 = 5*g + 2*d. Let m be (-3)/3*3/(-3)*g. Calculate z(m). 12 Let c(b) = -7*b - 182. Let h = 54 + -81. Let r be c(h). Let f(q) = q**3 - 6*q**2 - 9*q - 8. Calculate f(r). -22 Let l(q) be the second derivative of 2*q**3/3 - 5*q**2/2 + 152*q + 11. What is l(2)? 3 Suppose 27*s - 23*s - 40 = 0. Suppose -s*r + 6*r + 128 = 0. Let w(f) = -3*f - 2*f + 2*f - 33 + r. Calculate w(-3). 8 Let g(y) = 82*y - 41*y + 121 - 36*y. Let m be g(-23). Let x(u) = -u + 12. Calculate x(m). 6 Let m be (1*-4)/((-3)/(-3)). Let x = m - -12. Let s(w) = 37*w + 6. Let i(v) = 99*v + 15. Let p(a) = -3*i(a) + 8*s(a). Calculate p(x). -5 Let z(x) be the second derivative of 0 + 1/3*x**3 + 87*x + 1/6*x**4 + 2*x**2. Give z(-2). 8 Let b(q) be the third derivative of q**6/360 - q**5/60 + q**4/6 + 65*q**3/6 + 44*q**2. Let r(u) be the first derivative of b(u). Calculate r(-3). 19 Let k(s) = -
{ "pile_set_name": "DM Mathematics" }
r = -1334 + 1332. Give r*n(p) + 3*k(p). -2*p - 7 Let y(d) = -3*d**2 - d - 4. Let k(b) = -5. Let x(v) = -24. Let j(w) = 5*k(w) - x(w). Give 4*j(c) - y(c). 3*c**2 + c Let q(d) = d. Let l(o) = -7*o - 5. Let j(r) = r + 44. Let s be j(-43). Determine s*l(p) + 6*q(p). -p - 5 Let r(p) = 21*p + 2. Let l(g) = 5472 + 106*g - 10936 + 5474. Calculate -2*l(d) + 11*r(d). 19*d + 2 Let k(a) = 16*a**3 - 10*a**2 + 18*a + 6. Let g = -1131 + 1141. Let f(u) = -5*u**3 + 3*u**2 - 6*u - 2. Give g*f(i) + 3*k(i). -2*i**3 - 6*i - 2 Let c(q) = 2*q - 7. Let j be 24/40 - 16/10. Let y(h) = 1. Let m(z) = j*c(z) - 6*y(z). Let f(x) = -6*x + 2. Calculate -4*f(d) + 11*m(d). 2*d + 3 Let b(g) = -28*g**2 - 6*g + 3. Let l(a) = 83*a**2 + 20*a - 9. Determine -7*b(v) - 2*l(v). 30*v**2 + 2*v - 3 Let a(f) = 1021*f + 30. Let x(h) = 5106*h + 144. Give 24*a(d) - 5*x(d). -1026*d Let z(g) = 7*g**3 + 12*g**2 + 12*g - 3. Let y(w) = 8*w**3 + 10*w**2 + 10*w - 2. Calculate -6*y(v) + 5*z(v). -13*v**3 - 3 Let z(i) = -9913*i**3 + 253*i**2 + 506*i + 253. Let k(y) = 236*y**3 - 6*y**2 - 12*y - 6. Calculate 253*k(t) + 6*z(t). 230*t**3 Let a(b) be the third derivative of b**5/60 - 69*b**2 + 2*b. Suppose 5*k + 12 = -18. Let y(o) = o**3 + 6*o**2 - o + 2. What is k*a(d) + y(d)? d**3 - d + 2 Let i(g) = -g**3 + 9*g**2 + 14*g - 7. Let t(v) = v**3 - 5*v**2 - 8*v + 4. Give 3*i(c) + 5*t(c). 2*c**3 + 2*c**2 + 2*c - 1 Let x(t) = -t**2. Let f(b) = 2*b**2 - 1. What is -f(a) - 4*x(a)? 2*a**2 + 1 Let c(n) = n + 3. Let w(j) = -2. Let z be (1/((-5)/(-50)))/(6/(-3)). Calculate z*w(h) - 3*c(h). -3*h + 1 Let i(d) = -84*d**2 - 44*d - 48. Let l(o) = 17*o**2 + 9*o + 10. What is -5*i(u) - 24*l(u)? 12*u**2 + 4*u Let l(p) = -4*p**2 - 5. Suppose 64 = 5*s - 2*w - 10, -5*w - 10 = 0. Let d be 4/26 - (-8)/(-52). Let n(k) = s + d + 11*k**2 - 2 + 2. Give -17*l(t) - 6*n(t). 2*t**2 + 1 Let w(k) = k**2 - 48*k - 6. Let n(g) = -g**2 + 48*g + 4. Give 4*n(u) + 3*w(u). -u**2 + 48*u - 2 Let f(d) = -2*d - 1. Let q(m) = m**2 + 31*m - 3. What is -2*f(y) + q(y)? y**2 + 35*y - 1 Let s(g) = -7*g**3 - 11*g**2 + 8*g + 8. Let c(x) = 20*x**3 + 34*x**2 - 22*x - 23. Determine -4*c(j) - 11*s(j). -3*j**3 - 15*j**2 + 4 Let l(f) = f**2 - 6*f + 19. Let m(o) = o**2 - 7*o + 18. What is 6*l(s) - 5*m(s)? s**2 - s + 24 Suppose 0 = -3*p - h - 30, -h - 3*h = -p - 10. Let m(o) = -1. Let z be 2*(-1 + 1 + -1). Let s(w) = -w**2 + 5. Calculate p*m(j) + z*s(j). 2*j**2 Let t(z) = 2*z**2 + 9*z + 4. Let q be t(-3). Let w(s) = s**2 - 3*s + 2. Let a(i) = -2*i**2 + 5*i - 4. Determine q*w(k) - 3*a(k). k**2 + 2 Let h(t) = -t**2 - 2*t + 22568 + t - 22569. Let b = 11 - 10. Let u(g) be the third derivative of -g**4/24 - 2*g**2. What is b*u(l) - h(l)? l**2 + 1 Let x(d) = 10*d + 3. Let h(t) = 2*t. Let o(m) = -2*h(m) + x(m). Let a(w) = 25*w + 13. Calculate 2*a(r) - 9*o(r). -4*r - 1 Let z(r) = r - 1. Let f(x) = -1. Let m be 1 + (-7)/(3/(-3)). Let w be (-4)/(3*m/(-12)). Calculate w*z(l) - 3*f(l). 2*l + 1 Let m(x) = 160*x**3 - 23*x + 17. Let v(i) = 53*i**3 - 8*i + 6. Determine -6*m(k) + 17*v(k). -59*k**3 + 2*k Let h(i) = -164*i**2 + 7*i + 12. Let w(m) = -245*m**2 + 10*m + 17. Calculate -7*h(y) + 5*w(y). -77*y**2 + y + 1 Let y(o) = o**3 + 13*o**2 + 2*o - 2. Let k(r) = 5*r**3 + 53*r**2 + 9*r - 9. Let t = -1786 + 1777. Give t*y(h) + 2*k(h). h**3 - 11*h**2 Let w(k) = -9*k**3 + 2*k - 2. Let z(s) = -36*s**3 + 9*s - 9. Let g(x) = -6*x - 75. Let b be g(-11). Calculate b*w(l) + 2*z(l). 9*l**3 Let g(s) = -s**2 + s + 20. Let z(y) = -y**2 - 3*y - 40. Determine 5*g(j) + 2*z(j). -7*j**2 - j + 20 Let i(x) = 4*x. Let r(f) = -5*f. Suppose 0 = 64*w - 65*w + 3. Determine w*i(q) + 4*r(q). -8*q Let m(i) be the second derivative of 7*i**4/12 + i**3 + 4*i**2 + 48*i. Let l(g) = -15*g**2 - 13*g - 16. Calculate -6*l(o) - 13*m(o). -o**2 - 8 Let b(f) = 45*f**2 - 10*f + 149. Let u(k) = 29*k**2 - 6*k + 100. Give -5*b(p) + 8*u(p). 7*p**2 + 2*p + 55 Let b(n) = -154*n - 35. Let x(y) = -3*y - 1. Give b(r) - 35*x(r). -49*r Let p(z) = 1642*z**2 + 1517*z**2 + 1561*z**2 + 25 - 4865*z**2. Let d(l) = -12*l**2 + 2. Determine -50*d(q) + 4*p(q). 20*q**2 Let p(f) = 6*f**3 - 3*f**2 + 2*f - 3. Let n(b) = 10*b**3 - 7*b**2 + 5*b - 6. Give 3*n(u) - 7*p(u). -12*u**3 + u + 3 Let q(x) = x**2 - 4*x + 4. Suppose o = 170 - 166. Let j(v) = -3*v**2 + 11*v - 11. Let y = 23 + -12. Give o*j(m) + y*q(m). -m**2 Let l(x) = 356*x + 7. Let p(u) = -355*u - 8. Give 6*l(q) + 5*p(q). 361*q + 2 Let t(z) = 5*z**3 + 4*z**2 + 4*z - 2. Let b(i) = -16*i**3 - 11*i**2 - 13*i + 5. Give 4*b(l) + 11*t(l). -9*l**3 - 8*l - 2 Let x(g) = 4*g + 1. Let c be 28/12 - 2/(-3). Let n(h) be the second derivative of -3/2*h**3 + 0 - 7*h - h**2. Determine c*n(p) + 7*x(p). p + 1 Let o(m) = m**2 - 6*m + 7. Let s(r) = r**2 - 5*r + 6. Let l(f) = 5*o(f) - 6*s(f). Let d be ((-240)/(-28))/(40/140). Let b(c) = 25*c**2 + 30. Give d*l(k) + b(k). -5*k**2 Let s(u) = 7*u**3 + 22215*u - 22232*u + 4 - 9*u**2 - 13. Let x(l) = -91*l**3 + 94*l**3 - 4 - 9*l - 4*l**2 + l. Give 4*s(k) - 9*x(k). k**3 + 4*k Let p(c) = 0 - 6 - 3 + 20*c - 5*c. Let b(f) = 9*f - 8. Let x(d) = -4*d + 4. Let j(s) = -3*b(s) - 5*x(s). Calculate 9*j(o) + 4*p(o). -3*o Let l(m) = -m**2 + m + 1. Let j(o) = -o**3 - 2*o**2 + 2*o - 24. What is j(f) - 3*l(f)? -f**3 + f**2 - f - 27 Let s(n) = 22*n - 37. Let a(t) = 13*t - 25. Give 7*a(m) - 5*s(m). -19*m + 10 Let r(u) = -43*u - 4. Let i(h) = -41*h - 4. What is 3*i(l) - 4*r(l)? 49*l + 4 Let f(n) = -6 + 2 + 4 + 1. Let w = 8 + -11. Let l(i) = -i - 2. What is w*f(z) - l(z)? z - 1 Let c(y) = 16*y**2 + 6*y + 6. Let w(z) = -145*z**2 - 55*z - 55. Let v = 475 + -420. What is v*c(h) + 6*w(h)? 10*h**2 Suppose 4*d - 22 = 2*d. Let r(t) = -3*t + 0 + 3 - 4. Let p(q) = 3 - 2*q + 7*q + 3*q. Give d*r(a) + 4*p(a). -a + 1 Let z(l) = -5*l**3 - l - 2. Let h(i) = 14*i**3 + 3*i + 5. Suppose 5*p + 4*o - 12 = -11, -p - 4*o = -13. What is p*h(j) - 8*z(j)? -2*j**3 - j + 1 Let b(x) = 6*x + 5. Let z(l) = 1. Let p(q) = -43*q - 517. Let k be p(-12). Determine k*b(w) + 3*z(w). -6*w - 2 Suppose 5*d - 2*l = -4, 3*d + 4*l = -21 + 3. Let f(w) = -1. Let m(p) = 2*p**2 + 1. Determine d*f(u) - m(u). -2*u**2 + 1 Let d(j) = -3*j + 8. Let a(w) = -w + 3. Suppose 5*f = 3*f - 14. Let b = f - -11. Let m be (-333)/27 - 12/(-9). Give b*d(t) + m*a(t). -t - 1 Let m(g) = -4*g - 31. Let j(s) = 3*s + 20. What is 7*j(h) + 5*m(h)? h - 15 Let f(b) = b**2 - 2*b + 1. Let d(s) = 8*s**2 + 5*s - 2. Give d(h) + 4*f(h). 12*h**2 - 3*h + 2 Let o(k) = -7*k. Let p(s) = 5*s + 8. Let m(z) = 3*z + 5. Let i(b) = 8*m(b) - 5*p(b). Calculate -6*i(l) + o(l). -l Let t(o) be the first derivative of o**3/3 - 1. Let c(i) = i**3 + 5*i**2 - i + 1. Let s = -143 + 148. Determine s*t(h) - c(h). -h**3 + h - 1 Let p be -26 + 21 - (-14)/2. Let n(z) = -4*z**2 + 2*z. Let j(k) = -k**2 - 3*k + 6*k - 2*k. Give p*j(q) - n(q). 2*q**2 Let w(a) = 29*a**3 - 30*a**2 + 21*a - 9. Let x(s) = 7*s**3 - 7*s**2 + 5*s - 2. What is -2*w(h) + 9*x(h)? 5*h**3 - 3*h**2 + 3*h Let s(u) = 7*u**3 + 3*u**2 - 5*u + 3. Let v(g) = 4*g**3 + 2*g**2 - 3*g + 2. Let i(c) = -5*c**3 - 40*c**2 - 2*c - 11. Let z be i(-8). What is z*v(a) - 3*s(a)? -a**3 + a**2 + 1 Let f be (16 + -17)/(1/8). Let j(d) = d + 2 - 2. Let h(y) = -y. Calculate f*j(r) - 5*h(r). -3*r Let t(m) = -5*m - 3*m**2 + 2 - 5 + 9*m**2. Let j(o) = 11*o**2 - 9*o - 5. Determine -3*j(b) + 5*t(b). -3*b**2 + 2*b Let r(v) = v**2. Suppose 25 + 25 = 10*t. Suppose 0*q - o = 2*q - 10, 0 = 4*q - 4*o - 8. Suppose 0*z - 48 = -q*z. Let y(n) = -2*n**2. Calculate t*y(s) + z*r(s). 2*s**2 Let a = 236 - 230. Let d(s) = 6*s - 5. Let w(j) = -7*j + 6. Give a*d(p) + 5*w(p). p Suppose -3*a + 25 = 2*y - 0*y, 0 = -4*y - 2*a + 54. Let v(p) = 10 - 10*p - 11 + y. Let h(l) = -3*l + 4. Determine 7*h(c) - 2*v(c). -c + 2 Suppose -y - 8 = -2*p - 0, -3*p = 2*y + 2. Let t(i) = -151*i**p + 5 + 0 + 151*i**2 - i**3. Let u(f) = -4. Give -4*t(m) - 5*u(m). 4*m**3 Let z(b) = -b + 1. Let v(s) = 2*s - 2. Let c(p) = -2*v(p) - 3*z(p). Let w(o) be the first derivative of -9*o**2/2 + 12*o + 1120. Give -12*c(n) + w(n). 3*n Let i(f) = -9*f**3 + 2*f**2 - f - 2. Let m(g) = 11*g**3 - 2*g**2 + 4. What is 6*i(k) + 5*m(k)? k**3 + 2*k**2 - 6*k + 8 Let a(d) = 5*d**2 + 5*d. Let i(k) = -8*k - 3. Let q(o) = -21*o - 8. Let v(u) = -8*i(u) + 3*q(u). What is -a(t) + 5*v(t)? -5*t**2 Let c(g) = 2*g - 2. Let j be 3 + 12
{ "pile_set_name": "DM Mathematics" }
hird smallest value? (a) -0.4 (b) -1094 (c) -8617 (d) 4 (e) -0.1 a Which is the fifth biggest value? (a) 2 (b) -37 (c) 22 (d) -0.5 (e) 0 (f) -0.22 (g) 1/16 f Which is the fourth biggest value? (a) 92 (b) 5 (c) 2/47 (d) -1/9 (e) 0 (f) 4 c Which is the biggest value? (a) 8979352 (b) -4 (c) -1/4 a Which is the second smallest value? (a) 0 (b) -1/4 (c) 93/7 (d) 13 (e) -2/11 (f) -13/21 b What is the third smallest value in 347, 4, -7/11, -0.2? 4 What is the smallest value in 5, 7, -0.089, 273, 0.3? -0.089 What is the smallest value in -14699, 0.5, 2.1? -14699 Which is the biggest value? (a) -2 (b) -14016251 (c) 0.2 c Which is the third biggest value? (a) 2 (b) -5/2 (c) -1/373 (d) -19 (e) 0.2 (f) -1.01 (g) -1/8 c Which is the fourth biggest value? (a) 0.4 (b) -10 (c) 5258 (d) 2 (e) -3/8 e Which is the third biggest value? (a) 0.8 (b) -0.1 (c) -11 (d) 9/86 (e) 1 d Which is the biggest value? (a) -21/2 (b) 28 (c) 0 (d) -1 (e) -2 (f) 7/3 b What is the second smallest value in 2/25, 4.0072, 188? 4.0072 What is the fourth biggest value in 14/5, 10, 0.79, 9, 3? 14/5 Which is the smallest value? (a) 4 (b) -2 (c) 328 (d) -0.7 (e) -10/7 b Which is the fourth biggest value? (a) 1/8 (b) -78 (c) 1/3 (d) -2 (e) 15/4 (f) 0.2 (g) 26 f What is the fourth smallest value in 0.4, 35560, 0.15, -7? 35560 Which is the smallest value? (a) -2465 (b) -0.5 (c) -2 (d) -2/3 (e) -17 (f) -0.3 a Which is the seventh biggest value? (a) 7/6 (b) 16/3 (c) -0.6 (d) 4/3 (e) 2 (f) -0.2 (g) 2/3 c What is the sixth biggest value in -0.21, 0.2, 0.14, -4, -499, -1/4? -499 What is the fifth biggest value in -0.14, 19, -103, 4, 3/2, 3? -0.14 What is the third biggest value in 1/9, 5, -0.5, -2/190177, 1/5, -0.09? 1/9 Which is the fifth biggest value? (a) -6 (b) -4 (c) -0.1 (d) 397397 (e) 4 (f) -3/7 b Which is the fourth smallest value? (a) 5 (b) 1.16 (c) 21.04 (d) -2 (e) 0.4 (f) -1/5 b What is the second smallest value in -3, -381/10, -6/7, -4, 59, 0? -4 What is the fourth biggest value in -388, 0.2, 9, 15? -388 Which is the fourth smallest value? (a) -2/3 (b) -0.0416 (c) 0 (d) 127 (e) 3 (f) 0.4 (g) 0.3 g What is the biggest value in 2/19, -2, 0.008, -1/5, 9, -49, -0.15? 9 What is the smallest value in -0.089102, -5, -77? -77 What is the fourth biggest value in -1, 1/9, 3/7, -1296? -1296 Which is the second biggest value? (a) -1/8 (b) -4 (c) -375 (d) 4 (e) 0.1198 (f) -1 (g) -1/7 e Which is the biggest value? (a) 25/13 (b) 1 (c) 9/5 (d) -2/17 (e) -4 (f) 2 (g) 16 g What is the second smallest value in -7/2, -153230, 2/11, 2/5? -7/2 What is the third smallest value in -7.1, -0.51, 2/7, -25/14? -0.51 What is the sixth smallest value in -0.03665, -85, 0, 5, -3, -3/2? 5 What is the second biggest value in 8, 10821, -56, -5? 8 What is the fifth smallest value in -2/21, 1/8, -2/15, 11036, 5, 0.02, 4? 4 What is the fourth smallest value in 14, 1527, 8/11, 1? 1527 Which is the smallest value? (a) 0.7 (b) -0.2 (c) 7 (d) 5 (e) -3/7 (f) -14 f Which is the second biggest value? (a) 0.5 (b) 7/5 (c) 3 (d) -5 (e) -770 (f) 2/15 (g) -1/4 b What is the fourth smallest value in 2/9, 72, 5, 7/11, -49, 1, 3? 1 Which is the third biggest value? (a) 2/323 (b) -0.4 (c) 12/89 (d) 0.4 (e) -0.2 a What is the fifth smallest value in -0.4, 16/7, -0.11, 3/8, 10041? 10041 What is the third smallest value in 6, 3, 2/11, 605/4, -4, 16? 3 What is the smallest value in 0, -1, -808942, 1? -808942 What is the fifth biggest value in 0.9, -4.7, 0, 1, 0.6, 0.3, -6? 0 Which is the fifth biggest value? (a) 1 (b) 220 (c) -0.044 (d) 3 (e) -3/10 e What is the sixth biggest value in 3, 0.2, 1/10, 1409, 35, -1? -1 What is the fourth smallest value in -1, 2/9, 0, 39, -9, -1.56, 3? 0 Which is the second smallest value? (a) 0.4 (b) 2/7 (c) -8/9 (d) 138670 b What is the third smallest value in -4, 5/4, -0.3, 2/7, 0.04, 4360, 5? 0.04 Which is the second biggest value? (a) 0 (b) 6.3 (c) 17.6 (d) 1/41 (e) 39 (f) -2 c Which is the fourth smallest value? (a) -146 (b) 28 (c) 1 (d) 7/8 (e) -0.1 c What is the second biggest value in 1/8, -18, 1/5, 4, 1194? 4 Which is the fourth biggest value? (a) 2/13 (b) 0.02 (c) -0.08 (d) 0.3 (e) 460 (f) -8 b What is the fourth smallest value in -0.7, 176, 0.1, 5, -1.7, 2/7? 2/7 Which is the biggest value? (a) -19297 (b) 1/3 (c) -22/17 b Which is the fifth biggest value? (a) 2729 (b) -4 (c) -0.4 (d) 1 (e) 7/5 b What is the second smallest value in 2/1017, -4, 0.55, 3? 2/1017 Which is the third smallest value? (a) -2626 (b) -5 (c) 3.1 (d) -6.3 b What is the second biggest value in 0.3, 3, 7/81, 1, -23/4, -2/3? 1 Which is the biggest value? (a) -167 (b) -3/7 (c) -10 (d) -29 (e) -2/11 (f) 5 f Which is the fifth biggest value? (a) -5 (b) 7741 (c) -0.1 (d) 2/11 (e) 95/6 (f) 0.5 (g) -2/3 c Which is the fourth biggest value? (a) 0.3 (b) -9789 (c) 3/5 (d) 0.871 (e) 0.1 e What is the fourth biggest value in 2, 5, 3191/3, 14, -3, -0.5? 2 Which is the second smallest value? (a) -2 (b) -170 (c) 1 (d) 15 (e) 1/5 a Which is the second smallest value? (a) 0.2 (b) -208989 (c) 0.06 c What is the fifth smallest value in -4, -1.72194, -1, -12, -5, -2, -0.3? -1.72194 What is the fifth smallest value in -1/4, -16, -0.2, -2, 5/2, -5, 109.3? -0.2 Which is the biggest value? (a) -3 (b) -3/8 (c) 3/157 (d) -1/4 (e) -8.9 c Which is the second smallest value? (a) -173852 (b) 6 (c) 5/2 c Which is the second biggest value? (a) -1/17 (b) 3 (c) 0.184017 c What is the biggest value in 3232, -0.5, 58246, -1? 58246 What is the third biggest value in 0.37, 208.7, -1/21? -1/21 What is the second smallest value in 2/21, 5, -1232, -4, 9, 3? -4 Which is the seventh smallest value? (a) 5 (b) 3 (c) -2 (d) 0.1 (e) -4 (f) 415739 (g) -5 f What is the smallest value in -19, -1.3, 4, 9, 2/1229? -19 What is the third smallest value in 0.1, -2713836, 0.14? 0.14 Which is the third biggest value? (a) 8/671 (b) -75 (c) -5 (d) 0.01 c Which is the fifth biggest value? (a) -2/11 (b) -0.3 (c) -4 (d) 4.4 (e) -2/9 (f) -10035 (g) 5/6 b Which is the third smallest value? (a) 24 (b) -711 (c) -3/4 (d) 2/9 (e) -18 c Which is the smallest value? (a) -2/3 (b) -1 (c) 527812 (d) -2/9 b What is the second smallest value in -2/4595, 587, 8? 8 What is the fourth smallest value in -235, 21/8, -3, -1, -0.15, 0.3, 2/9? -0.15 Which is the third biggest value? (a) -152013 (b) 1/2 (c) 105 a Which is the smallest value? (a) 3 (b) -38 (c) -2 (d) 351 b Which is the fourth biggest value? (a) 0.5 (b) 262 (c) 38636 (d) 0.1 (e) 1/7 e What is the third biggest value in -12, 0.0824, -56? -56 Which is the third smallest value? (a) -11612 (b) 210 (c) -1 b What is the biggest value in -1431, -13647, 0.1? 0.1 What is the fourth smallest value in -33/4, -1/21, 2/13, 2, 233, -2? 2/13 Which is the third biggest value? (a) 10 (b) -204806 (c) 2 (d) 0 d Which is the fourth smallest value? (a) -64/5 (b) 124652 (c) 2/5 (d) 2/27 b What is the biggest value in -5, -3/5, -85275, -1, 0? 0 Which is the fourth biggest value? (a) 1 (b) 0.023 (c) -1/2 (d) -203 (e) -1/5 (f) -1 c Which is the third smallest value? (a) -3/2 (b) 16/1385 (c) 14/9 (d) 0.2 (e) 5 d What is the sixth smallest value in -1/3, 1, 1/1127, 3, -1/4, 976? 976 What is the smallest value in 2/7, 36, 5, 2, -17332? -17332 Which is the third biggest value? (a) 2 (b) -6.5 (c) -1/4 (d) -3 (e) 134 (f) -0.3 c Which is the fourth smallest value? (a) 1251/4 (b) 0.3 (c) 3 (d) -149/3 a What is the biggest value in -677, -0.3, 26, -167? 26 Which is the third biggest value? (a) -2.3 (b) -466/97 (c) -0.1 b What is the third biggest value in -4, 2/7, -3/10, -0.4, 372/29, -5/3, -2/11? -2/11 Which is the biggest value? (a) 20/7 (b) 0.2 (c) 1.058 (d) 5 (e) 9/8 d Which is the biggest value? (a) -81/10 (b) 3 (c) -9401 b What is the smallest value in -8196, -0.5, -10, 1/2, -1, -4? -8196 Which is the third smallest value? (a) 1/10 (b) 1/2 (c) 0.2138 (d) 23 (e) -2 c Which is the second smallest value? (a) 24 (b) 62223 (c) -0.2 (d) -18 c What is the fourth biggest value in -40, -1/2,
{ "pile_set_name": "DM Mathematics" }
*g**3 - g**3 + 5*g**3. 15*g**3 Expand (-2*q + 3*q - 2*q)*(-6*q + 3*q + 4*q) - 2*q**2 + 4*q**2 - 4*q**2 + (-1 + 1 + q)*(-7*q + q - q). -10*q**2 Expand ((-2*s + 2 - 2)*(-4 + 1 + 5) - s + 1 - 1 - s - 4*s + 3*s)*(-5*s**2 + 0*s**2 + 8*s**2). -21*s**3 Expand (5*w + 7*w - 10*w)*(-6 + 2 + 2)*(3 - 3 - 4*w)*(w - 3*w + w). -16*w**3 Expand (2*w + 0*w + 0*w)*((-2*w - 3 + 3)*(0 + 2 - 4) + (-6 + 4 + 1)*(-2*w + w - w) - 2*w - 2*w + 6*w). 16*w**2 Expand (4*w - w - 4*w)*(-10*w - 2*w - w) + (0 - 1 + 2)*(-w**2 + 6*w**2 - 4*w**2). 14*w**2 Expand -3*v**3 - 2*v**3 + 4*v**3 + (0 + 0*v**2 - 1 + v**2)*(v + v - 4*v). -3*v**3 + 2*v Expand (5*x - x - 2*x)*(1 - 2 + 3 + (-1 - 4 + 3)*(-2 + 4 - 4)). 12*x Expand (-3*k - 8 + 8)*(5*k - 3*k - k)*(7*k**2 - k**2 - 3*k**2). -9*k**4 Expand (0 + 0 + 2)*(2 - 2*z - 2) - z - 1 + 1 - 32*z - 16 - 11 + 27. -37*z Expand (-4*z + 3*z - z)*(0*z**2 + 0*z**2 + 2*z**2) + 2*z**3 - 2*z**2 + 4 - 4. -2*z**3 - 2*z**2 Expand -7*q + 7*q - q**3 + 5*q**3 - 5*q**3 - q**3 + 3*q**3 - 5*q**3 + q**3 + (0*q**3 + q**3 - 3*q**3)*(2 + 0 - 4) - 3*q**3 + 4*q**3 + q**3 - 5 + 5 - 2*q**3. q**3 Expand (-2 + 0 + 3)*(2*a + a - 5*a) - 2*a - 9 + 9. -4*a Expand (-2 + 2 + 2)*(-q**4 + q**4 + q**4) + (-2 + 1 + 5)*(q**4 + 2*q**4 - 2*q**4). 6*q**4 Expand 2*x**4 - x**4 + 2*x**4 + (2*x**2 + 0*x**2 + x**2)*(4*x**2 - 4*x**2 + x**2). 6*x**4 Expand (2 - 2 - 2)*(-39*k - 2*k + 5*k) - k + 0*k - k. 70*k Expand (-b + 2*b + b)*(-53*b - 11*b**4 + 53*b). -22*b**5 Expand 3*j**5 + 4*j**5 - 3*j**5 + (j + 3 - 3)*(-j**4 - 2*j**4 + 6*j**4). 7*j**5 Expand 0*j**3 + 0*j**3 - 2*j**3 + (-6*j + 3*j + 0*j)*(3 + 2*j**2 - 3) + 11*j**3 + 0*j + 0*j. 3*j**3 Expand (3 - p - 3)*(0*p + 4*p + 3*p) - p**2 + 0*p**2 + 4*p**2 + (5*p**2 - 3*p**2 - 5*p**2)*(-2 + 1 - 1). 2*p**2 Expand (s - 19*s**2 + 4*s**2 + s)*(-2*s**2 + 2*s**2 - 2*s**2) - s**4 + 0*s**4 + 3*s**4. 32*s**4 - 4*s**3 Expand (2*c + c + 0*c)*(2 + 1 - 1) + (4 - 5 + 3)*(0*c + 3*c - 5*c). 2*c Expand (3*s + 3*s - 8*s)*(0*s + 0*s - 2*s**2)*(3 - 3 + s**2). 4*s**5 Expand (-1 + 0 + 3)*(9*y + 179 - 179). 18*y Expand (-9 - 15 - 3)*(b + 1 + 0 - 2*b). 27*b - 27 Expand (1 - o - 1 + (-o + 4*o - 9*o)*(2 + 3 - 6))*(-2 + o + 2). 5*o**2 Expand (-2*z - z + 7*z)*(1 - 1 + 2*z). 8*z**2 Expand (a**2 + a**2 - 4*a**2)*(-42*a + 4*a - 92*a). 260*a**3 Expand (-t + 3 - 3)*(1 + 0 + 1) - t + 0*t - 1 - t. -4*t - 1 Expand (1 + 5 - 1)*(5*v**5 - 5*v**5 + v**5). 5*v**5 Expand ((0 + 0 - 2*x)*(1 + 5 - 4) - 2*x + 4*x - x)*(2888 - 26*x**3 - 2888). 78*x**4 Expand (-2*o + 0*o + 0*o)*(o**2 - 20*o**2 + 9*o**2) + (-4*o + 4*o - 2*o**2)*(4*o - 4*o - o). 22*o**3 Expand (-4*x**3 - 2 - 15*x**3 + 0)*(2*x - 2*x + 3*x). -57*x**4 - 6*x Expand ((1 + 4 - 4)*(-3*z + 0*z + 5*z) + 14*z + 15*z - 10*z + 2*z - 2 + 2 + (0 + 2 - 1)*(z - 2*z - 2*z))*(-z**4 - 4*z**4 + 4*z**4). -20*z**5 Expand (-2 + 6 - 3)*(-5*q**5 - 2*q**5 - 3*q**5). -10*q**5 Expand (11 + 2*j - 11)*(0 + 3 - 1 + (-5 + 5 + 2)*(-6 + 5 + 3)). 12*j Expand -5*o**3 + 0*o**3 + o**3 + 2*o**3 - 4*o**3 + 5*o**3 + (2*o**2 - 2*o**3 - 2*o**2)*(-2 + 1 + 0) - o**3 + 4*o**3 - o**3 + (-o**2 - 3*o + 3*o)*(1 - 1 + o). 2*o**3 Expand (3 + 2*q**2 - 3)*(-8 - 5 + 5). -16*q**2 Expand (3 - 3 + 1 + (-3 + 7 - 2)*(-6 + 2 + 3) + 2 - 6 + 2)*(1 + 0 + 2)*(-12 - 4*b + 12). 36*b Expand f**5 - 7*f**5 + f**5 + (2 + f**2 - 2)*(4*f**3 - 2*f + 2*f). -f**5 Expand 2*g**2 - 3*g**2 + 0*g**2 + g**2 + g**2 + 0*g**2 + (0*g + 2*g + 6*g)*(-2*g - 1 + 1). -15*g**2 Expand 6*d - 10*d - 5*d + ((-5 + 1 + 2)*(5 - 2 - 4) - 1 - 4 + 4)*(-1 + 1 + 2*d). -7*d Expand (w**2 - 11*w - 3*w + w)*(-2 - 1 + 1). -2*w**2 + 26*w Expand (-17 + 14 + 14)*(4 - 4 + w**2). 11*w**2 Expand (7*j + 0 - 12*j + 3)*(2 - 3 - 3). 20*j - 12 Expand (-2 - 3*h + 0*h + 2*h)*(5 + 1 - 2). -4*h - 8 Expand (-7*u + 7*u + 3*u**3)*(-4 + 0 + 2) + (-u + 2*u - 3*u)*(-u**2 - u**2 + 4*u**2) - 2*u**3 + 3*u**3 - 2*u**3. -11*u**3 Expand 2*k**5 + 4*k**3 - 4*k**3 + (5*k**3 - 2*k**3 - 2*k**3)*(0*k**2 + k**2 + 0*k**2) + 3*k**5 + k**5 - 6*k**5 - 4*k**5 + k**5 + k**5 + 2*k**5 + 0*k**5 + k**5. 2*k**5 Expand (1 + c - 1)*(5*c - c - 3*c) - 14*c**2 - c + c + 2*c**2 + 3*c**2 - 3*c**2. -11*c**2 Expand (3*d - 2*d + d)*(0 + 2*d**2 + 0) - 4*d**3 + 0*d**3 + 2*d**3 + d + 2*d**3 - d + d**3 + d**3 + d**3. 7*d**3 Expand (2*u + 0 + 0 + 2*u - 2*u + 2*u - 4*u + 3*u + 0*u + (0*u - 4*u + 3*u)*(0 + 3 - 5) + 4*u - u - 5*u)*(19*u + 6*u - 10*u). 45*u**2 Expand 0*u**3 - u**3 - 6*u**3 + (4 - 3 + 1)*(3*u**3 + 0*u**3 - u**3) - 6*u**3 + 2*u**3 + 3*u**3 + (6*u + 0*u - 4*u)*(3 - 3 - u**2). -6*u**3 Expand (15 - 9 + 9)*(g - 2 - g - g**3). -15*g**3 - 30 Expand -2*f + 4*f + 0*f - 8*f + 0*f - 12*f + 2 + 2*f - 2 - 3*f + 3*f - 2*f + (-f + 0*f + 0*f)*(-1 + 1 + 1) + 2 - f - 2. -20*f Expand (-2 - 5 + 6)*(-1 - 1 + 1)*(52 + 7*c - 52). 7*c Expand ((6 - 18 - 5)*(4*m**2 + 3*m**2 - 5*m**2) - 3*m**2 + 4*m**2 + m**2)*(-m - 2*m**3 + m). 64*m**5 Expand 6*p**4 + p**5 - 6*p**4 + 2*p**4 - 3*p**5 + 4*p**5 + p**5 + (p - 3 + 3)*(-2*p**4 - 2*p**4 + 3*p**4). 2*p**5 + 2*p**4 Expand (2*h + h**4 - 2*h)*(-8*h - 8 + 5 + 0*h). -8*h**5 - 3*h**4 Expand (-5*n + 3*n + n)*(0 + 0 - 8). 8*n Expand (0*a + 2*a - 4*a + (-1 + 0 - 1)*(-2 + 2 + 2*a) - 5*a + 5*a - a)*(5 + 4*a - 5)*(-2*a**3 - 3*a**3 + 3*a**3). 56*a**5 Expand ((2 - 2 + 2*v)*(0 + 0 - v**2) - 2*v**3 - v**3 + 4*v**3)*(-5 + 5 - 9*v). 9*v**4 Expand ((2*a - 4*a + 0*a)*(-2 - 3 + 3) - a + 2*a - 2*a - 4 - 4*a + 3 + 6*a)*(0*a + 0*a - 2*a). -10*a**2 + 2*a Expand -7*k**3 + 2*k**3 + 3*k**3 + (k - 3*k + k)*(2*k**2 - k**2 - 2*k**2) + 0*k**3 + k**3 + k**3 - 4*k**3 - 3046 - k + 3046. -3*k**3 - k Expand (2*a - 1 + 1)*(14 + 23 + 18)*(-2 + 5 - 1). 220*a Expand ((0 + 3 - 4)*(-2*w + 0 + 0) - 2*w + 4*w - 3*w)*(-6*w + 6*w - 4*w**4). -4*w**5 Expand (-k**3 - 2*k**2 + 2*k**2)*(-3 - 2 + 3 + 3*k)*(0 - k + 0). 3*k**5 - 2*k**4 Expand 2*v**2 - 2*v**2 - 2*v**2 + (-2 + 2 + v)*(-2*v - v + v) + v**2 - 3*v**2 + 3*v**2 - 8*v + 8*v + v**2. -2*v**2 Expand -i**3 + 2*i**3 + i**3 + (3*i**2 + 0*i**2 - 2*i**2)*(4*i + 0*i - 5*i) + (4 - 2*i - 4)*(0 + 0 - i**2). 3*i**3 Expand (-14*u + 2*u + u + (4*u - 3*u + u)*(2 - 1 - 2))*(2*u - 2*u - u). 13*u**2 Expand (0*s + s + s)*(-2*s + 0 + 0) + 5*s**2 - 3*s**2 + s**2 + (-s**2 + 5 - 5)*(-2 + 1 - 1) - s + 2*s**2 + s - 4*s**2 - 2*s**2 + 4*s**2 - 5*s + 3*s**2 + 5*s. 4*s**2 Expand (3 - 3 + x**2)*(-4 + 7 + 5)*(0 + 2 - 4). -16*x**2 Expand (14*k - 8*k + k)*(-3 + 3 - 1). -7*k Expand (-2 + 1 + 0)*(0 - 3*p + 0) + 3*p - 2*p + 2*p. 6*p Expand (-3*z**4 + 4*z - 4*z + (z - z + 2*z)*(z**2 + 2*z**3 - z**2))*(-1 + 0 + 3). 2*z**4 Expand (-4*r + r + 0*r)*(-1 + 3 - 5)*(-3*r + 4*r - 3*r)*(-1 - 1 + 6). -72*r**2 Expand (-1 + 1 + 1)*(-5 + 1 + 3)*(2*i - 8*i + 3*i). 3*i Expand -5*w + 2*w**2 + 5*w + (2*w - 4*w**2 - 2*w)*(2 + 3 + 0). -18*w**2 Expand (-3 - 4 - 3)*(0 + 2*b + 0). -20*b Expand -4*w**5 - 4*w**4 + 4*w**4 - 4*w**5 - w**5 + 4*w**5 + (3*w**4 - w**4 + 0*w**4)*(0*w + 0*w - 2*w) - w**3 + w**3 + 3*w**5. -6*w**5 Expand 0*h**3 + h**5 + 0*h**3 + (2 - 2 + h)*(8*h**3 + 3*h**4 - 8*h**3). 4*h**5 Expand (3*l**5 - 5*l**5 + l**5)*(-8 + 6 + 8)*(0 - 5 + 2). 18*l**5 Expand (-2*k**2 - 3 + 3)*(-k + 0*k - k)*(-3*k - 5*k + 4*k). -16*k**4 Expand (-3 + 0 + 1)*(i - 3*i + 0*i)*(-4*i**2 + 0*i**2 + 3*i**2 - 4) - 3*i + i**3 + 3*i. -3*i**3 - 16*i Expand (-4*m + m + m)*(-m**3 - 3 + 3) + (-13*m**2 - 10*m**2 + 13*m**2)*(0*m**2 - m**2 + 0*m**2). 12*m**4 Expand -4*w**3 + 2*w**3 + w**3 + (-2 + 2 - 2*w**2)*(-2*w + 2*w - 3*w) - 5*w**3 + w**3 - 2*w**3. -w**3 Expand (-1 + 1 + t)*(-4*t + 2*t**2 + 4*t) + 3*t**3 + 0*t**3 + 0*t**3 + (2*t - 6 + 6)*(2*t**2 - 3*t + 3*t). 9*t**3 Expand -7*c + 14*c + 13*c + (-3 + 2 + 2)*(-4 - 2*c + 4). 18*c Expand (4*g**3 - 3*g**3 + g**3 + 3*g**3 - 4*g**3 + 3*g**3 + (-3 + 4 + 0)*(3*g**2 + 2*g**3 - 3*g**2))*(-3*g**2 - 4*g**2 + 3*g**2). -24*g**5 Expand (-2 + 5 - 1)*(v - 3*v + 6*v)*(1 - 4 + 4) + 4*v - 2*v - 3*v. 7*v Expand (-15 + 15 - 4*z)*(2 - 1 - 8). 28*z Expand (0*n - 3*n + 6*n)*(-2*n - 2*n + 3*n)*(0 + 0 - 7)*(-1 - 4 + 2). -63*n**2 Expand (1 - 4 + 1 + 2 + 2 - 5 + (-1 - 1 + 1)*(3 - 2 - 3))*(0*l**2 - l**2 + 2 - 4). l**2 + 2 Expand (-o - o**2 + o - 4*o**2 + 0*o**2 + 5*o**2 + (o + 2*o - o)*(3*o + o - 2*o))*(-4*o + 4*o - 5*o**3). -20*o**5 Expand ((-2*p**2 - 2 + 2)*(6 - 3 - 4) + 2*p**2 - p + p)*(-4*p - p + 7*p). 8*p**3 Expand (5 - 5 - 12*v)*(0 - 1 - 2)*(-1 - 2 + 4). 36*v Expand (6*u**4 - 4*u**4 + 3*u**4)*(-5 + 5 + 2). 10*u**4 E
{ "pile_set_name": "DM Mathematics" }
he units digit of l(-6)? 2 Let u(l) = -l + 23. Let v be u(0). Suppose 0 = b - 0*b - v. What is the units digit of b? 3 Let h be 16/(3/((-27)/(-6))). Suppose -3*d + 4 + 2 = 0. Suppose 2*w + d*w = h. What is the units digit of w? 6 Let b(p) = -p**3 - 9*p**2 + 2*p - 6. What is the units digit of b(-10)? 4 Let h = 13 - 12. Let v(a) = a**3 - 2*a**2 + 1. Let p be v(1). Suppose p = -4*b + h + 11. What is the units digit of b? 3 Let t(q) = 2*q**3 - q**2 + 5*q - 4. Let f be t(3). Suppose -4*g + j = 3*j - 60, -4*j + f = 4*g. What is the units digit of g? 6 Let h = -10 - -4. Let z(p) = p + 5. Let o(s) = -s. Let i(j) = 2*o(j) - z(j). What is the tens digit of i(h)? 1 Suppose 3*s - 30 - 18 = 0. What is the units digit of s? 6 Suppose -2*j - 2 + 14 = 4*b, 5*b + 13 = j. Let m = 21 - j. What is the tens digit of m? 1 Suppose 4*j + 304 = 4*p, -147 = -2*p + 2*j + j. Let q = p + -49. What is the tens digit of q? 3 Let l(d) = 2*d**2 - 2*d + 1. Suppose 0*j = -4*j + 8. Let g be l(j). Suppose g*h - 30 = -r, -25 = -3*r + h - 3*h. What is the units digit of r? 5 Let d(m) = -3*m**2 + 4*m**2 + 3*m - 2 - 1. What is the units digit of d(-4)? 1 Let b(n) = -n**3 + 3*n + 2. Let m be b(-2). Let r(j) = j**2 - 3*j + 4. Let c be r(m). Suppose 4*a = -4*y, y = -2*y + a + c. What is the units digit of y? 2 Suppose -1 + 119 = 2*d. What is the tens digit of d? 5 Suppose -18 = 36*u - 37*u. What is the units digit of u? 8 Suppose -i = -1 - 3. Let m(y) = y + y - i - 4*y**2 + 5*y**2 + y**2. What is the units digit of m(-3)? 8 Suppose 0 = o + 18 - 83. What is the units digit of o? 5 Suppose -2*s + 3 = s. Let i be (-2 + 7)*s - 2. Suppose -2*l + 20 = i*l. What is the units digit of l? 4 Let s(t) = 3*t**2 + 2*t. Suppose -3*w = 5*d - 2*w + 6, -4*w + 12 = 2*d. Let c be s(d). What is the units digit of 4/(c/(-14))*-1? 7 Let y(u) = -u + 2. Let p be y(3). Let t be (-2)/(-2*1)*p. Let l = t + 2. What is the units digit of l? 1 Suppose 0 = -4*y + 2 + 6. Let n(k) = 3*k**3 - 5 - 3*k + 8 - 2 - 4*k**3 + 4*k**2. What is the units digit of n(y)? 3 Suppose -4*l + 111 = -229. What is the units digit of l? 5 Suppose -3*r + 30 = 2*r. Suppose 2*b - 6 = -a, -a - 3*b + 16 = -r*b. What is the units digit of a? 0 Suppose 5 = -w + 2*w. Suppose 2*r - 1 = -3, -w*r = -c + 15. What is the units digit of c? 0 Let l(s) = -4 - s**2 + 3*s**2 - s - s**2. Let w be l(3). Suppose -3*v - 2*c + 19 = 0, -w*v + 17 + 17 = -4*c. What is the units digit of v? 9 Let z = 97 - 38. What is the units digit of z? 9 Let k be 1/(0 - 2)*-4. Suppose -k*h + 5 = 1. Suppose w - 2 = 0, 70 = 5*u + 3*w + h*w. What is the tens digit of u? 1 Let i be -2 - (2/(-1) - 5). Suppose 0 = w - 4*b - 28, -3*b + 48 = -0*w + i*w. What is the tens digit of w? 1 Suppose 20 = k - 4*b, b + 7 - 3 = 0. Suppose -k*f = -0*f + 4. Let l(j) = -9*j**3 - j**2 - j. What is the units digit of l(f)? 9 Let j(r) = -r**2 + 6*r + 8. Let w be j(6). Suppose w = 2*t - t. What is the units digit of t? 8 Let s = 67 - 45. What is the tens digit of s? 2 Suppose -c + 26 = v, 3*c = -2*v + 57 + 19. What is the tens digit of c? 2 Suppose -f = 2*f - p - 146, -4*f + 3*p = -198. What is the tens digit of f? 4 Let p(t) = -t**3 + 6*t**2 + 8*t + 8. Let n be p(7). What is the tens digit of (-3)/n + 212/10? 2 Let f = 78 - 10. What is the units digit of f? 8 Let b(g) = g**2 - 7*g - 6. What is the tens digit of b(9)? 1 Suppose 2*c = -3*n - 559, -5*c = -2*n + 3*n + 1430. Let m be 4*(-2)/(-4) + c. What is the units digit of m/(-55) + (-2)/11? 5 Let v = -103 - -160. What is the units digit of v? 7 Let u(q) be the third derivative of -q**4/12 - 13*q**3/6 - 10*q**2. What is the units digit of u(-9)? 5 Suppose -a + 5 = -16. What is the tens digit of a? 2 Suppose 3*p - 215 = -20. What is the tens digit of p? 6 Let y(v) = 3*v - 2. Let z be (-16)/((-5)/(15/6)). Let l = 12 - z. What is the tens digit of y(l)? 1 Let s(x) = -2*x - 1. Let q = 2 + -4. Let m be s(q). Suppose 0 = -m*g - 5*h + 16, 0 = -5*g + 6*h - 3*h + 72. What is the units digit of g? 2 Suppose 5*p = -4*s - 75, 1 = -3*p + 2*p + 2*s. Let u = p + 39. Let c = u - 20. What is the units digit of c? 8 Let u(j) = -6*j**2 - 3*j**2 + 16*j**3 - 2 - 8*j + 0*j**2 - 15*j**3. What is the tens digit of u(10)? 1 Let p(d) = -3 - 1 - 2*d + 5 - 4. Let b be p(4). Let w = 18 + b. What is the units digit of w? 7 Let h = 49 + -25. Let g = -20 - -26. Let m = h - g. What is the tens digit of m? 1 Let u = -75 + 33. Let t = -2 - u. Suppose -8 = -2*b + 2*g, 4*g - t = -b - 2*b. What is the units digit of b? 8 Suppose -2*a - 3 = -2*k - 1, 0 = -4*a + 2*k - 14. What is the units digit of (-12 - 3)*4/a? 0 Suppose 0*s - 4 = -2*s. What is the units digit of s/4*38 + -3? 6 Let l(z) = 23*z + 35. What is the hundreds digit of l(6)? 1 Let a(f) = 2*f**2 - 6*f + 5. What is the tens digit of a(-4)? 6 Let f be (1 + (-3)/15)*5. Let x(c) = 2*c - 5. What is the units digit of x(f)? 3 Suppose l = -0 + 5, 2*p = 2*l + 6. What is the units digit of (-15)/(3 - 36/p)? 0 Let x be 8/((-1 + 0)*-2). Suppose -2*j + 2 = 0, -5*p = -4*j - 0*j + x. Suppose m = -3*h - p + 3, 4*m - 40 = -5*h. What is the units digit of m? 5 What is the hundreds digit of (-3 + 1)*(-427)/7? 1 Let q(x) = 223*x - 7. What is the tens digit of q(1)? 1 What is the hundreds digit of 269/2 + 4/(-8)? 1 Let u(t) be the first derivative of -t**2/2 - 5*t + 4. Let w be u(-7). Suppose 18 = y + w*y. What is the units digit of y? 6 Let l = -57 + 109. Suppose 3*a + l = 5*h, -4*h + 3 = 5*a - 46. What is the tens digit of h? 1 Let d be 6 + (2 - 3)*-1. Suppose 11 = 3*c - d. What is the units digit of c? 6 Let c = 134 - 48. What is the tens digit of c? 8 Let a = -7 - -12. What is the units digit of (2/a)/(3/90)? 2 Let c(o) = 5*o**2 - o. Let q be c(1). Suppose 3*v - v + 5 = 5*h, 2*v = 2*h + q. Let d(g) = g**2 - 3*g - 5. What is the units digit of d(v)? 5 Let y(l) = -l**3 + 3*l**2 + 5*l - 12. What is the hundreds digit of y(-5)? 1 Suppose -11*w + 13*w = 100. What is the units digit of w? 0 Let i(x) = 5*x**3 + 9*x**2 - 12*x - 5. Let w(u) = u**3. Let s be (8 + -5)*2/6. Let f(g) = s*i(g) - 4*w(g). What is the tens digit of f(-10)? 1 Suppose -933 = -4*z + 223. What is the hundreds digit of z? 2 Let w be (-15)/(-2)*(-8)/(-3). Suppose 0 = -3*s + t - 1 + w, -4*s = t - 30. What is the units digit of s? 7 Let k(s) = s**2 + 2*s - 3. Let q be k(-3). Suppose -2*g = -2*x + 44, 5*x - 102 = -q*x + g. What is the tens digit of x? 2 Suppose -2*x + 2*v = 14, x - 6*x - 5*v = 35. Let l = -4 - x. What is the units digit of l? 3 Suppose 12 = -3*z + 3*h, -4*z + 0*h - 4*h - 40 = 0. Let q = 23 + z. What is the units digit of q? 6 Let g(b) = -b**2 + 2*b - 2. Let r be g(2). Let m = 5 - r. Let h = m - 4. What is the units digit of h? 3 Let n(f) = f**3 + 4*f**2 + 3*f + 2. Let h be n(-3). Suppose 2*s + 4*p - 10 = 0, -s + 3*s - h*p = 34. What is the tens digit of s? 1 Suppose 0 = -4*z - 5*s + 218 + 331, -139 = -z - 3*s. What is the hundreds digit of z? 1 Let o(y) = 7*y + 6. Let c be (-3)/(2/(12/3)). Let r be o(c). What is the units digit of (r/(-10))/((-6)/(-15))? 9 Let h(u) = -34*u + 8. What is the units digit of h(-5)? 8 Let k = 1 - -2. Suppose -2*g - o = -42, 34 + 22 = k*g - 2*o. What is the units digit of g? 0 Suppose -4*a - k = -161, 3*a + 2*k = 7*a - 146. What is the tens digit of a? 3 Suppose -91 = 5*p - 291. What is the units digit of p? 0 Suppose -o + 566 = 4*r - r, -2*o = 8. What is the hundreds digit of r? 1 Let d be (-2)/(-3) + 4/3. Suppose 0 = -5*q + 5*l + 24 + 11, -d*l + 34 = 2*q. What is the units digit of q? 2 Let z be 1 + (-6)/3 - -4. Suppose 0 = -z*i + 9 + 21. What is the units digit of i? 0 Let n = 444 + -239. What is the units digit of n? 5 Let y = 8 + -5. Suppose -4*q - y*x = 12, 4 = -4*q + 3*x - 4*x. Suppose z + q*h + 6 = -4*h, 0 = z + 2*h. What is the units digit of z? 6 Let i be (-362)/(-5) + 2/(-5). Suppose 3*u = 3*l + 108, 2*l = 3*u + 2*u - i. What is the units digit of l/(-3)*(-2)/(-4)? 6 Let a(u) = u**2 + 7*u + 9. Let p be a(-6). Suppose -p = -2*g + 1. What is the units digit of g? 2 Suppose -2*u - 17 = 3*r, -8*r + 4*r + 3*u = 0. Let q(m) = 3*m**2 - 2*m + 2. What is the units digit of q(r)? 5 Let o = 19 - 20. Suppose -l + 3*n + 7 = -2, 0 = -4*n - 4. Let x = o + l. What is the units digit of x? 5 Let m = 56 + -34. What is the tens digit of m? 2 Suppose
{ "pile_set_name": "DM Mathematics" }
is the next term in -30175, -30208, -30301, -30484, -30787, -31240? -31873 What is the next term in 34445, 68873, 103299, 137723, 172145, 206565? 240983 What is next in 38100, 76212, 114324, 152436, 190548, 228660? 266772 What is the next term in -695, -2742, -6163, -10964, -17151, -24730, -33707? -44088 What comes next: -46, 53, 292, 671, 1190? 1849 What comes next: -13085, -52366, -117833, -209486, -327325? -471350 What is the next term in 309, 327, 345, 363? 381 What is the next term in -21833, -21648, -21463, -21278, -21093? -20908 What is the next term in 21941, 43879, 65817? 87755 What comes next: 52880, 52853, 52826, 52799? 52772 What comes next: -110, -190, -258, -308, -334? -330 What is next in 19768, 39451, 59134, 78817? 98500 What comes next: -2681, -10690, -24033, -42710, -66721, -96066, -130745? -170758 What is next in 421, 409, 397, 385, 373? 361 What is next in 3556333, 3556331, 3556329? 3556327 What comes next: -1011, -1340, -1677, -2022, -2375, -2736, -3105? -3482 What is next in 1617, 1622, 1615, 1590, 1541, 1462, 1347, 1190? 985 What comes next: 1066, 1052, 1028, 994, 950? 896 What is the next term in -80, -323, -724, -1277, -1976, -2815, -3788? -4889 What is next in -259, -300, -327, -334, -315? -264 What comes next: 3056, 3079, 3104, 3131, 3160, 3191? 3224 What is the next term in 16, 17, 20, 25, 32, 41? 52 What comes next: 3640, 3620, 3600, 3580, 3560? 3540 What comes next: -415, -361, -291, -205, -103? 15 What comes next: 2433, 2514, 2595, 2676, 2757, 2838? 2919 What comes next: 8538, 17832, 27126, 36420, 45714? 55008 What is next in 552, 1153, 1796, 2487, 3232? 4037 What comes next: 4060522, 4060521, 4060520, 4060519, 4060518? 4060517 What is the next term in 91, 111, 173, 283, 447? 671 What is next in -1069, -2145, -3223, -4303? -5385 What is next in 38702, 38671, 38628, 38573? 38506 What is next in -211346, -211344, -211342, -211340, -211338, -211336? -211334 What is next in -259527, -1038102, -2335727, -4152402, -6488127, -9342902, -12716727? -16609602 What comes next: 2632, 2640, 2648, 2650, 2640, 2612, 2560, 2478? 2360 What is the next term in 77310, 77308, 77306, 77304, 77302, 77300? 77298 What comes next: 303, 607, 911? 1215 What comes next: 34904, 69814, 104726, 139640, 174556, 209474? 244394 What is the next term in 232, 788, 1714, 3010? 4676 What is next in 766, 725, 662, 583, 494? 401 What is the next term in -4208, -4165, -4068, -3893, -3616, -3213, -2660, -1933? -1008 What is the next term in 18566, 18621, 18678, 18731, 18774? 18801 What comes next: -1252, -4960, -11140, -19792, -30916? -44512 What is next in -90, -77, 0, 147, 370, 675, 1068, 1555? 2142 What is the next term in -322, -171, 930, 3455, 7878, 14673? 24314 What comes next: -398, -514, -630, -746, -862? -978 What is next in 7, 65, 179, 349? 575 What is next in 47, -122, -577, -1462, -2921, -5098? -8137 What comes next: 11057, 21943, 32831, 43721? 54613 What comes next: 1449, 2671, 3893, 5115? 6337 What is the next term in 7891, 31556, 70997, 126214, 197207, 283976? 386521 What is next in -102, -391, -874, -1563, -2470, -3607, -4986? -6619 What comes next: 6138, 12331, 18584, 24897? 31270 What is next in -8176, -8036, -7796, -7450, -6992? -6416 What comes next: -2462, -2220, -1818, -1256? -534 What comes next: -2752, -2803, -2854, -2905, -2956? -3007 What comes next: 4345, 4332, 4319, 4306, 4293? 4280 What comes next: -1288, -2726, -4454, -6616, -9356, -12818? -17146 What is the next term in -97508, -195021, -292536, -390053? -487572 What comes next: 3994, 3975, 3956, 3937? 3918 What is the next term in -281, -587, -893, -1199? -1505 What is next in 14931, 14933, 14935, 14937, 14939, 14941? 14943 What is the next term in -1244, -2476, -3710, -4946, -6184, -7424? -8666 What is the next term in 8287, 16300, 24313, 32326, 40339? 48352 What is the next term in -6494, -12995, -19496, -25997, -32498, -38999? -45500 What is next in 120, 502, 1060, 1752, 2536, 3370, 4212, 5020? 5752 What is the next term in 17315, 34634, 51951, 69266, 86579, 103890, 121199? 138506 What comes next: -858992, -1717985, -2576978, -3435971? -4294964 What is next in 66, 93, 122, 147, 162, 161? 138 What is next in -15, -22, -1, 60, 173, 350, 603, 944? 1385 What is next in -329, -685, -1037, -1385, -1729, -2069, -2405? -2737 What comes next: 13437, 26748, 40059, 53370? 66681 What comes next: -135, 65, 405, 891, 1529, 2325? 3285 What is the next term in -411, -853, -1297, -1743, -2191, -2641? -3093 What is the next term in -38, -153, -338, -629, -1062, -1673, -2498? -3573 What is the next term in -69, 69, 443, 1173, 2379, 4181? 6699 What is the next term in -462, -458, -450, -438, -422? -402 What is next in 287, 1854, 6109, 14396, 28059, 48442? 76889 What is next in 1895, 1847, 1799? 1751 What is next in 1797, 1822, 1895, 2040, 2281, 2642, 3147, 3820? 4685 What comes next: -24692, -24689, -24686, -24683, -24680, -24677? -24674 What is next in -65994, -66011, -66026, -66039, -66050, -66059, -66066? -66071 What comes next: 17, 44, 57, 56? 41 What comes next: -1885, -7640, -17371, -31192, -49217, -71560? -98335 What is next in -2298, -5023, -7748, -10473, -13198? -15923 What is the next term in -5694, -11444, -17194, -22944, -28694, -34444? -40194 What comes next: 157, 187, 247, 343, 481, 667? 907 What is the next term in -1006, -4020, -9042, -16072, -25110? -36156 What is next in -1673, -1465, -1257, -1049, -841? -633 What is next in 1164, 1160, 1156? 1152 What is next in -176, -354, -598, -938, -1404? -2026 What comes next: -157498, -157496, -157494, -157492, -157490? -157488 What comes next: 2211, 2168, 2129, 2094, 2063, 2036, 2013? 1994 What is the next term in -2700, -2694, -2688, -2682? -2676 What is the next term in 4316, 4287, 4238, 4169? 4080 What is next in -338, -1148, -2932, -6176, -11366? -18988 What is the next term in -2116, -2822, -3528? -4234 What is next in 44, 149, 300, 479, 668, 849? 1004 What comes next: -710, -1134, -1560, -1988? -2418 What comes next: -16747, -134143, -452791, -1073317, -2096347, -3622507? -5752423 What comes next: 501, 693, 1021, 1485, 2085? 2821 What is next in -608481, -608485, -608489, -608493? -608497 What is next in -777, -3121, -7029, -12501, -19537, -28137? -38301 What is next in 9985, 10027, 10069, 10111, 10153? 10195 What is the next term in 14, 27, 46, 71, 102? 139 What comes next: 904, 1748, 2592, 3436, 4280, 5124? 5968 What comes next: 10777, 7970, 3283, -3290, -11755, -22118, -34385, -48562? -64655 What is the next term in 18088, 18092, 18106, 18136, 18188, 18268, 18382? 18536 What is the next term in 3909, 7848, 11787, 15726, 19665? 23604 What is the next term in -11983, -24019, -36055, -48091? -60127 What is next in -244893, -244892, -244891? -244890 What is the next term in 13396, 26906, 40428, 53968, 67532, 81126, 94756? 108428 What is the next term in 29160, 29163, 29168, 29175, 29184, 29195? 29208 What is next in 61, 148, 277, 466, 733, 1096? 1573 What comes next: 172305, 344610, 516903, 689178, 861429, 1033650? 1205835 What is next in 1532286, 3064570, 4596854, 6129138, 7661422? 9193706 What is next in -10776, -21556, -32336, -43116? -53896 What comes next: -2989, -2990, -2995, -3004, -3017, -3034, -3055? -3080 What comes next: 6411, 6430, 6449, 6468, 6487? 6506 What is the next term in 346323, 692645, 1038967, 1385289, 1731611, 2077933? 2424255 What is the next term in -80220, -80203, -80172, -80121, -80044, -79935, -79788? -79597 What is the next term in -96056, -96047, -96036, -96023, -96008, -95991? -95972 What is next in -302, -2250, -7514, -17744, -34590, -59702, -94730, -141324? -201134 What comes next: -56, -87, -130, -185, -252? -331 What is the next term in 21353, 42796, 64239, 85682? 107125 What is the next term in -90606, -181210, -271812, -362412, -453010, -543606, -634200? -724792 What comes next: 298, 242, 146, -2, -214, -502, -878, -1354? -1942 What is the next term in 2477, 2458, 2449, 2456, 2485, 2542? 2633 What is the next term in -425, -330, -171, 52? 339 What is next in -288, -708, -1128, -1548, -1968? -2388 What is next in -1795, -4167, -6539, -8911? -11283 What is next in -1185, -1239, -1293? -1347 What is next in -191, -156, -113, -62? -3 What is the next term in -714, -1476, -2292, -3168, -411
{ "pile_set_name": "DM Mathematics" }
4 = 12*x - 18*b for x. 32 Solve -3449*p + 1722*p - 152 = -6*c - 1723*p, 2*c - 4*p = 64 for c. 22 Solve 2*p + 108 = -80*o + 85*o - 2*p, 37*o - p = 742 for o. 20 Solve 122*s + 5*r = 152, 5*s - 2*r - 1683275 = -1683282 for s. 1 Solve -3*m = 3*x + 42, 0 = m + 236139014*x - 236139017*x - 38 for m. -1 Solve 2*j + 24 = 4*l, 37*j + 4*l - 7*l = -26 + 8 for j. 0 Solve -2*v + 162 = 4*n - 0*n, 5*v + 82 = n + 25 for n. 42 Solve 0 = h - 5*c - 134, 5*h = -5*c + 22*c - 12*c + 130 for h. -1 Solve 237667*i + p + 25 = 237670*i, -31 = -3*i - 2*p for i. 9 Solve -1408*x = -701*x - 704*x + 4*j - 22, 0 = 9*j - 36 for x. 2 Solve -4*k = 12*n - 7*k + 48, 0 = 3*k - 48 for n. 0 Solve -9*b - 3*c = 9 + 54, -5*b = -6*c - 80 for b. -2 Solve 45*d = 3*l + 222, d - 172 = 4*l - 171 for l. 1 Solve -4*b = 46485 - 46509, 12*m + 9*b = 78 for m. 2 Solve 11*j = 4*i - 20, -389*j + 4*i = -393*j + 20 for j. 0 Solve 56600*c - 56605*c - 37 = -3*j, j + 16 = -4*c for j. 4 Solve -2*i + 412*k - 387*k = 115, -2*k - 15 = -2*i - 3*k for i. 5 Solve -66 = 3*c - 5*c - 5*h - 44, 3*c + 1 = h for c. 1 Solve 3*t + 485*y - 3 = 488*y, 4*y - 3*y + 15 = 8*t for t. 2 Solve -5 = 13*g - 5*o + 3, 14*g - 11*g = -8237*o + 8232*o - 8 for g. -1 Solve 0 = -3*q + 15, 481583*q = -5*c + 481584*q for c. 1 Solve 237076*k + 56 = 2*c + 237074*k, -8*k = c + 224 for c. 0 Solve -20 = 5*a, -4*h - 2200771 = -2*h + a - 2200767 for h. 0 Solve 26034 - 26086 = 2*v + 4*p, v + 14 = p for v. -18 Solve -3*m + 59 = -4*u, -15032 = 2*u - m - 15015 for u. 4 Solve 2*x - 2*a = -605 + 529, 2*x - 19*a + 161 = 0 for x. -33 Solve 10*f - 50*f + 16*f + 7*f + 14*f = -192, 0 = -4*b - f + 64 for b. 0 Solve s - 59765 = 5*c - 59738, 0 = 9*s + 2*c + 39 for s. -3 Solve 683*d - 3*v = 686*d - 48, 0 = -51*d - 5*v - 58 for d. -3 Solve 8 = 405*z - 404*z + 2*n, 3*z - 4*n = -2*n + 56 for z. 16 Solve 22842*w + 3*f = 22839*w + 27, 6*w - f = 54 for w. 9 Solve 5*k - r - 2 = -2*r - 2, 30159*r = -18*k + 30155*r for k. 0 Solve 747*v + 68 = -3*r + 746*v - 50, -116 = 3*r + 2*v for r. -40 Solve 0 = -2*n + 7*z + 9*z - 36, -35*n - 2*z + 2 = -34*n for n. -2 Solve 3 = 2*b - 3*p, -7000*b + 7003*b - 7*p + 8 = 0 for b. 9 Solve -h = 3*r + 136, 3139*r - 7*h = 3147*r + 341 for r. -47 Solve 209*k - 104*k - 104*k - 62 = r, r + 62 = -4*k for r. -62 Solve 723*j + 27 = -3*x + 727*j, -3*x - 24 = 4*j + 3 for x. -9 Solve 6*v = -3*y - 27, 2*v = 59*y - 52*y + 47 for v. -1 Solve 111*b - 109*b + 122 = 15*t, -t + 3*t + 60*b = -23*b - 3814 for t. 2 Solve 2*v + 4292 = 21794*c - 20712*c, -2*v + 32 = -c for v. 18 Solve 0 = -28*s + 24*s + 4*x - 7*x + 25, 6 = 2*x for s. 4 Solve 3*f + 24 = -2*y + 34, -20*y + 2*f + 2*f + 883 = 783 for y. 5 Solve 10070*d = 10072*d + 5*g + 68, -48*d - g + 34 = -0*g for d. 1 Solve w + 10 = -2*u, 7*u + 20369 - 20345 = 2*w for w. -2 Solve h + 11 = 2*p + 27, -h + 112 = -66*p + 52*p for p. -8 Solve 3*d - 5*r = -260 + 152 + 165, d + 61 = -5*r for d. -1 Solve 5*z + 5*p - 11 = -0*p + 14, 3*p + 20 = -10*z + 77 for z. 6 Solve 0 = -1444*m + 1442*m - 4*g - 118, 5*m = -13*g - 385 for m. 1 Solve -2*f - 4*w - 20 = 0, -156424*f + 156428*f = 2*w - 50 for f. -12 Solve -4*o = 7*r - 77, 22*o - 592 = 39*r - 38*r - 129 for r. -1 Solve 12*j + 3*v = -11*j + 18*j - 68, 3*j + 220 = -13*v for j. -4 Solve -2 = -19*a + 19*a - s, 15*a - 10*a - 4*s + 83 = 0 for a. -15 Solve 0 = -0*u - u + 4, -38 = -123*h + 125*h + 2*u for h. -23 Solve 2*y - 6*y = -2*i + 32, 0 = 8*y - 5*y + 57*i - 322 - 356 for y. -2 Solve -1901*k = -1906*k - 3*q - 28, q - 45 = -22*k - 156 for k. -5 Solve 8*i + 38 = -2*n + 7*i, -4*n + 8*i = 3*i + 48 for n. -17 Solve 112*s = 5*p + 3820 - 129, 3*p + 30 = s for p. 1 Solve -49*f - c = -96*f + 48*f + 1, 4*f = -5*c - 8 for f. 3 Solve 16*q = -3*v - 27, 172*v - 9*q - 55 = 168*v for v. 7 Solve 78 = 3*v + v + 34*x - 8*x, -2*v + 3*v = -5*x + 15 for v. 0 Solve 0 = -5*p + 5*z, -4*p - 20*z - 87 = -p - 10*z + 2*z - 27 for p. -4 Solve 2498 = -3*c - 0*c - 5*w + 2436, -3*w - 37 = 2*c for c. 1 Solve -20 = -551*x + 552*x - 3*o, 3*o = 3*x + 36 for x. -8 Solve 37*v - 35*v + 152 = -5*f, -35*v - 1245 = 5*f + 1745 for f. 4 Solve 2*i = 8*o + 34, -3*i + 113 = -0*i + 3*o + 32 for i. 25 Solve 5*y = 3*n + 71, -3*y - 344*n + 175 = -6*y - 349*n for y. -5 Solve 165*j - 4*k - k = 167*j + 38, -26 = 2*j - k for j. -14 Solve i = -0*i, -65*c + 67*c - 4*i = -4 for c. -2 Solve -18 = n - 5*c, 76*n - 26 = 80*n - c + 4*c for n. -8 Solve 9*n = 36, 1464*z - 1462*z = 3*n - 114 for z. -51 Solve -11*m + 7 = 6*m - 21*m + 2*a + 11, 17*m - a + 13 = 0 for m. -1 Solve 507*y - 506*y - 12 = -2*n, y = -4*n + 20 for n. 4 Solve 2*x + 78 + 22 = -5*p - 5, -x - p - 18 = 0 for x. 5 Solve 117 = 4*r + 419*q + 423*q - 841*q, 3*r + 336 = 3*q for r. 1 Solve -15 = 3*q + 3*d, -q - 3104*d + 3109*d + 19 = 0 for q. -1 Solve -380*a + 377*a - 3807 + 3816 = 0, 16*a = 3*h + 9 for h. 13 Solve -2*f + 77 = 9*b + 72, 6*f - b = 3*b - 16 for f. -2 Solve 56*f = 59*f - 4*y + 40, 17*y + 4 = -14*f + 5*f for f. -8 Solve -17*d + 20*d + 45 = 4*w, 4*w + d + 139 = 8*d + 212 for w. 6 Solve 2*g - 4*i + 2 = 10 - 12, -4*i + 12 = -4*g for g. -4 Solve -11*d - 3*h - 29 = -9*d, -h + 9 - 13 + 91 = -9*d for d. -10 Solve b - 334 = 19*g - 407, 5*g = 3*b + 11 for b. 3 Solve 245*s - 244*s + 54 = y, 5*y - 63 = -83 for s. -58 Solve -5*i - b = 34, -12*b = -193 + 241 for i. -6 Solve -116 = 24*n - 5*y + 10, -3*n - 9*y = -8*y + 6 for n. -4 Solve -2*q + 0*q = -2*l, 2*l - 19 = -4*q + 8 - 9 for l. 3 Solve 0 = -h - 319*t + 1596, 3*t - 20 = 3*h + 2*h - 2*t - 0*t for h. 1 Solve -5*b - 28*r = -2*r - 22*r + 24, 3*r = -4*b - 20 for b. -8 Solve j - 235*y + 464 = 3*j, 3*j + 4 = -2*y + 4*y - 9 for j. -3 Solve -146*i + 171*i - 967 = -4*a, 45 = -3*a + i for a. -2 Solve 5*t - 12*o = 7*t + 37*o - 141, 2*t = 2*o - 12 for t. -3 Solve 8*p - 104 = 4*c, p = 15*c - 4*p + 4*p - 3*p for c. 4 Solve s + 28 = -5*f, s + 195 - 191 = 71*f + 432 for f. -6 Solve 4*z = -4*k + 40, 111*k = -7*z + 9*z + 85*k + 36 for z. 8 Solve 5*w + 5*z + 30 = 6*w - 0*w, -4*z = -81*w + 2029 for w. 25 Solve -4*y + 52 = -22*l, 4387 = l + 4*y + 4427 for l. -4 Solve 27939*n - 65 = 27952*n, 0 = -w - n - 3 for w. 2 Solve 17*j + 24 = 2*r + 13*j, 0 = -7*j + 9*j + 2 for r. 10 Solve 0 = 2*t - l - 1, 4*t = 653*l - 639*l + 86 for t. -3 Solve 4*p + 3*h - 23 = 0, 66361*p + 3*h + 177 = 66307*p for p. -4 Solve 8377*z + 21 = 8378*z + 5*r, -3*r + 3 = 3*z for z. -4 Solve 4*i = 14*i - 8*i + 3*y - 69, -68 - 65 = 11*i - 4*y for i. -3 Solve -101 = -24*f - 5*w, -4*w - 5846 = f - 5854 for f. 4 Solve 3*w + 19*y - 250 = 0, 2*y = 2*w - 22177 + 22025 for w. 77 Solve 11*j - 10*b + b = -117, 0 = -5*j + 5*b - 65 for j. 0 Solve 3*i = -15, -3*z - 471*i + 472*i + 23 = 0 for z. 6 Solve 14 = 2*m - 2*c, 113*c = -111*m + 115*m + 98*c - 127 for m. -2 Solve -16385*q + 16383*q - 4*i + 40 = 0, 120 = 5*q - 39*i + 44*i for q. 28 Solve -s + 5 = v, -6*v + 17 = -13831*s + 13834*s - 2*v for s. 3 Solve -40*i - 3585 + 7155 = -4*v + 3594, -3*v - 13 = i for i. -1 Solve -21*t = 2*l + 87, 5*t + 766*l - 768*l + 43 = 0 for t. -5 Solve -4*q - 196 = c - 293, -59 = 3*c - 2*q for c. -3 Solve -2*y + 167*t - 84*t = 80*t + 48, 3*y - 7*t + 107 = 0 for y. -3 Solve 4*b + 2935*k - 351 = 2962*k, -2*k = -2*b + 118 for b. 54 Solve -s + b - 68 = -3*b, -142*s - 151*s + 292*s + 5*b - 86 = 0 for s. 4 Solve 267763*n - 267765*n + 5 = 3*s, 0 = -3*n + 4*s + 16 for n. 4 Solve -5*m = -0*m + 5*q - 45, 48*m + 6*q - 279 = 2*m + 5*q for m. 6 Solve 13*b + 31 = -10*u + 16*b, -u - 36 = 2*b - 7*b for u. -1 Solve -3*n - 5*y - 3*y = -0*y, 57*n - 72*n = 2*y for n. 0 Solve -110*a - 113*a = -2*x - 225*a - 24, 2*a = 3*x - 23 + 79 for x. -16 Solve 124*h - 5*p = 116*h - 96 - 315, -3*p = 4*h + 211 for h. -52 Solve -594 = -84*g - 2*q, 5*g + 8*q - 3*q - 27 = 2*g + 3*q for g. 7 Solve -2*z - 7*k - 26 = -5*k, -6*k = 18*z + 78 for z. 0 Solve -125 = -4*l - 3*g - 151 + 119, 0 = -4*l - 8*g + 268 for l. -3 Solve -4*y + 32954 = d + 32995, -12*y = -4*d + 2*d + 118 for d. -1 Solve -1522*f = 2*m - 1525*f - 40, -4*m - 1832 = 472*f for m. 14 Solve 296 = -13*b + 5*g - 177 - 22, -3*b - 5*g - 145 = -0*g for b. -40 Solve 5*z + 70 = -5*n, -5*n = 352*z - 954*z - 10249 for z. -17 Solve -5*l + 4*j - 28 - 6 = -10*l + 2*l, -21*l + 3*j + 114 = 0 for l. 6 Solve 307*b - 14*t = 293*b - 126, -5*b + 13 = t - 26 for b. 5 Solve 28 = -4*v + 2*n, -10*n - 24 = -3*v - 11*n
{ "pile_set_name": "DM Mathematics" }
t q? 168*q Let w be (12/(-10))/(9/(-30)). What is the second derivative of w*s**4 - 4*s + 3*s**3 - s**3 - 2*s**3 wrt s? 48*s**2 Let q(j) be the first derivative of -1 + 0*j + 0*j**2 + 1/2*j**4 - 2*j**3. What is the third derivative of q(o) wrt o? 12 Let n(z) be the first derivative of 29*z**6/6 - 7*z**2 + 28. What is the second derivative of n(k) wrt k? 580*k**3 Suppose -28 = -3*n - 5*g, 3*n - 20 = 3*g - 8. What is the third derivative of n*q**2 - 3*q**5 - 20*q + q**5 + 20*q wrt q? -120*q**2 Let y(p) = 3*p**3 - 4*p**2 + 4*p + 1. Let k(r) = r**2 - r - 1. Let h(a) = 4*k(a) + y(a). What is the first derivative of h(d) wrt d? 9*d**2 Let j = 6 + -4. Find the second derivative of -5*u + 5*u - j*u - 5*u**3 + 4*u**3 wrt u. -6*u Let a(z) be the third derivative of z**7/420 - z**5/24 - z**4/8 - 7*z**2. Let h(u) be the second derivative of a(u). Differentiate h(f) wrt f. 12*f Suppose 0 = -5*x + 2*a - 5*a - 32, 12 = -2*x - a. Let s = x - -6. What is the first derivative of -2 + 1 + s*g**4 - 3*g**4 wrt g? -4*g**3 Let q(l) = 4 + 5 - 2 - l**2 + 0 + 4*l. Let b be q(5). Find the third derivative of 2*k**5 + 0*k**5 + b*k**5 - k**5 - k**2 wrt k. 180*k**2 What is the third derivative of 5*c**5 + 20*c**2 - c**2 + 13*c**2 wrt c? 300*c**2 Let p(m) = -m + 3. Let g(c) = 22 - 6 - 6*c + c. Let v(x) = -x**2 + x + 4. Let i be v(0). Let h(j) = i*g(j) - 22*p(j). Differentiate h(q) with respect to q. 2 Let p(m) = -2*m**3 + 3*m**2 - 3*m. Let y(b) = -4*b**3 + 5*b**2 - 7*b. Let i(h) = 7*p(h) - 3*y(h). What is the third derivative of i(u) wrt u? -12 Let m(w) be the third derivative of 0*w**4 + 0*w**3 + 0*w + 0 + 1/70*w**7 + 0*w**6 - 4*w**2 - 1/15*w**5. What is the third derivative of m(r) wrt r? 72*r Let d = -7 + 11. Let u(s) = -s**3 + 13*s**2 - 13*s + 14. Let v be u(12). What is the third derivative of a**2 - a**4 + a**d + 0*a**4 - v*a**6 wrt a? -240*a**3 Let r be 2*(-1 - 3/(-1)). Let n = 6 - r. Find the first derivative of -o + 2*o - o - n*o**2 + 3 wrt o. -4*o Let g(j) be the third derivative of j**7/7 + j**5/30 + 11*j**2. Find the third derivative of g(f) wrt f. 720*f What is the derivative of 1 - 3 - 5*j**3 - 3*j**3 wrt j? -24*j**2 Find the third derivative of -84*y**3 + 164*y**3 - 23*y**2 + 33*y**4 - 80*y**3 wrt y. 792*y Let g(z) = -8*z**4 + 8*z**3 - 6*z**2 + 8*z. Let y(b) = -b**4 - b**3 - b. Let h(t) = -g(t) - 8*y(t). Find the third derivative of h(f) wrt f. 384*f Suppose -5*h + 5 = 10. Let v = h + 3. What is the second derivative of -2*c - 5*c**2 + 0*c**2 + 3*c**v wrt c? -4 Let b(i) = 4*i**3 + 5*i**2 + 6. Let k(m) = -4*m**3 - 4*m**2 - 5. Let v(l) = -5*b(l) - 6*k(l). What is the third derivative of v(h) wrt h? 24 Let n(p) be the first derivative of 2*p**3 - 27*p**2/2 - 5. Find the second derivative of n(q) wrt q. 12 Let v(z) be the first derivative of z**7/280 - z**6/180 + 2*z**3/3 - 2. Let j(h) be the third derivative of v(h). What is the third derivative of j(a) wrt a? 18 Let o(x) = -x**3 - 6*x**2 - 7*x - 6. Let z be o(-5). Find the first derivative of z - 2*i + 0 - 2 wrt i. -2 Find the third derivative of 37*f**2 - 1 + 1 + 8*f**4 + 22*f**4 wrt f. 720*f Let p(y) be the second derivative of 5*y**8/28 + 5*y**4/6 + 4*y. What is the third derivative of p(l) wrt l? 1200*l**3 Let x(t) = -11*t**2 - 8*t + 16. Let o(i) = -i + 1. Let a(h) = -5*o(h) + x(h). What is the second derivative of a(z) wrt z? -22 Find the first derivative of 3*v**2 - 2*v**2 - v**2 - 3 + 7*v**3 wrt v. 21*v**2 Suppose 0 = 4*x - 0*x - 28. Let j = x - 4. What is the first derivative of -d**3 + d**3 + 2 - d**j wrt d? -3*d**2 Suppose 0 = -8*a + 7*a. Find the second derivative of 3*s + 3*s + a*s - 10*s + 2*s**2 wrt s. 4 Let g(b) = b**2 - 4*b - 7. Let j be g(6). What is the derivative of -3*d**3 + j*d - 5*d + 2 wrt d? -9*d**2 Let z = 21 + -6. Let b be (z/(-10))/((-6)/8). What is the second derivative of a**3 - 3*a**3 + a**3 - b*a - 2*a**3 wrt a? -18*a Let k(j) = 7*j**5 + 4*j**3 + j. Let v(y) = -13*y**5 - 7*y**3 - 3*y. Let q(a) = -7*k(a) - 4*v(a). What is the second derivative of q(h) wrt h? 60*h**3 Let h(z) = -2*z - 7. Let s be (4 - 5) + (0 - 5). Let d(o) = -3 - 1 + 3. Let g(k) = s*d(k) + h(k). What is the first derivative of g(y) wrt y? -2 Let c(u) = u**3 + 4. Let q be c(0). What is the second derivative of -17 - q*o - 6*o**2 + 17 wrt o? -12 Let q(g) be the first derivative of 9*g**2 - 3*g - 10. What is the first derivative of q(t) wrt t? 18 Suppose 3*f = -2*n - 113, 4*f + 2*n = 3*n - 136. Let y be ((-8)/14)/(10/f). Differentiate -2*x**4 + 2*x**2 + x**2 + 3 - 3*x**y wrt x. -8*x**3 Let u be -1*(4 - 3) - -4. Let j be (-2)/(-1)*(-1 + u). Find the third derivative of -6*d**j + 3*d**4 - 3*d**2 + 5*d**4 wrt d. 48*d Let a be -2 - 1/(-2)*-2. Let o be 2*1*(-2 - a). Find the second derivative of d**o + 2 - 2 - d wrt d. 2 Let w(l) be the first derivative of l**3 + 0*l - 3 + l**3 - 5 + l. What is the derivative of w(m) wrt m? 12*m Let k(t) be the third derivative of -t**6/8 + 3*t**5/10 - 3*t**2. Find the third derivative of k(r) wrt r. -90 Let a(d) be the first derivative of -d**7/21 - 4*d**3/3 - 7*d + 2. Let b(g) be the first derivative of a(g). What is the second derivative of b(z) wrt z? -40*z**3 Suppose 0 = 5*a + 25, 4 + 8 = c - 3*a. Let y be (0 - 0) + (-12)/c. Differentiate 2*z**4 + 0*z**y + 0 + 1 wrt z. 8*z**3 Let r(m) = -4*m**3 - 33*m**2 + 2*m - 2. Let h(i) = 5*i**3 + 33*i**2 - 3*i + 3. Let s(p) = -2*h(p) - 3*r(p). Find the third derivative of s(x) wrt x. 12 Let u(p) be the third derivative of 2*p**7/105 - p**5/20 + 4*p**2. What is the third derivative of u(j) wrt j? 96*j Let c = 1 - -4. Let o = 7 - c. Find the third derivative of 2*k**6 - 4*k**o + 6*k**2 + 0*k**2 wrt k. 240*k**3 Let s(l) = -2. Let q(d) be the second derivative of d**5/10 + d**4/12 + 3*d**2 - 3*d. Let r(c) = -2*q(c) - 6*s(c). Find the third derivative of r(h) wrt h. -24 Let z(p) be the first derivative of 1/3*p**3 + 0*p**2 + 0*p**5 + 1 - 2/3*p**6 + 0*p + 0*p**4. What is the third derivative of z(l) wrt l? -240*l**2 Suppose 2*l + 2 = 0, v - 2*v + 2*l = -4. Suppose -v*k + 4 = 0, 0 = 3*u + 3*k + 4 - 16. What is the derivative of -2 + u*d + 0 + 3 wrt d? 2 Let r(j) = 16*j**2 - 5*j - 13. Let g(o) = -24*o**2 + 7*o + 19. Let v(d) = 5*g(d) + 7*r(d). Differentiate v(b) with respect to b. -16*b Let s = -6 + 15. What is the third derivative of -11*k**5 - 5*k**4 + 5*k**4 - k**2 + s*k**5 wrt k? -120*k**2 Suppose -3*w + 22 = 10. Let c(b) be the third derivative of 1/12*b**w + 0*b + 1/30*b**5 + 2*b**2 + 0 + 0*b**3. What is the second derivative of c(h) wrt h? 4 Let k(c) be the second derivative of -c**5/20 - 6*c**2 + 17*c. Differentiate k(a) wrt a. -3*a**2 Let p(b) be the second derivative of 1/30*b**6 - 3*b + 0*b**4 + 0 + 0*b**2 + 0*b**5 + 1/6*b**3. What is the second derivative of p(d) wrt d? 12*d**2 Let u(x) be the second derivative of x**5/10 + x**4/4 - 7*x**2/2 + x - 3. Differentiate u(d) wrt d. 6*d**2 + 6*d Let x(i) = i - i - i**2. Let f(q) be the second derivative of q**5/20 + q**4/6 - q**2 + q. Let o(m) = f(m) + 2*x(m). Find the first derivative of o(p) wrt p. 3*p**2 Let x(k) be the second derivative of 19*k**7/42 - 8*k**3/3 + 13*k. What is the second derivative of x(h) wrt h? 380*h**3 Let d be (-33)/(-7) - 4/(-14). Differentiate -4*s**3 - d + 2*s**3 + 2 + 0*s**3 wrt s. -6*s**2 Let j(n) = 23*n**3 + 17*n**2 + 4*n - 4. Let y(z) = 23*z**3 + 17*z**2 + 5*z - 5. Let g(t) = -5*j(t) + 4*y(t). Find the third derivative of g(o) wrt o. -138 Let k(c) be the first derivative of 29*c**6/6 + 7*c**3 - 13. What is the third derivative of k(w) wrt w? 1740*w**2 Let i(n) be the second derivative of -n**6/15 + n**3/3 - 8*n. What is the second derivative of i(q) wrt q? -24*q**2 Let u(k) be the first derivative of -25*k**4/4 + k**3/3 + 5. What is the third derivative of u(d) wrt d? -150 Let z(n) = -13*n**5 + n**4 - 15*n. Let p(v) = -v**5 - v**4. Let x(a) = -p(a) - z(a). What is the second derivative of x(j) wrt j? 280*j**3 Let b(d) = -3*d**3 + 2*d**2 - 6*d + 6. Let h(q) = -2*q**3 + q**2 - 5*q + 5. Let w(n) = 5*b(n) - 6*h(n). What is the third derivative of w(z) wrt z? -18 Let t(c) be the third derivative of 7*c**6/120 - c**4/4 - 4*c**2. What is the second derivative of t(s) wrt s? 42*s Let a(z) be the third derivative of 0*z + 1/20*z**5 + 2*z**2 + 0*z**4 + 1/3*z**3 + 0. Find t
{ "pile_set_name": "DM Mathematics" }
st ten thousand? -180000 Round -1409 to the nearest 10. -1410 What is -73923 rounded to the nearest 1000? -74000 What is -0.114821 rounded to two dps? -0.11 What is -0.24064 rounded to 1 decimal place? -0.2 Round 35.173 to the nearest integer. 35 Round -0.000004841 to 7 dps. -0.0000048 Round 8.2282 to two dps. 8.23 What is 123540000 rounded to the nearest 1000000? 124000000 Round -15.02 to one dp. -15 Round 18.91 to the nearest integer. 19 Round -0.009778 to 3 decimal places. -0.01 What is -0.0007307 rounded to 5 decimal places? -0.00073 Round 0.0016 to 2 decimal places. 0 What is -64707000 rounded to the nearest one hundred thousand? -64700000 What is -4.42 rounded to the nearest integer? -4 Round -15685 to the nearest one hundred. -15700 What is 0.017002 rounded to 4 decimal places? 0.017 Round -119110000 to the nearest one million. -119000000 Round 139850 to the nearest 10000. 140000 What is 0.0001143 rounded to 5 decimal places? 0.00011 Round -17821000 to the nearest 1000000. -18000000 What is -0.000221 rounded to four dps? -0.0002 Round 0.473 to 1 dp. 0.5 Round 0.00001684 to 6 dps. 0.000017 Round -113000 to the nearest 10000. -110000 What is -0.00002402 rounded to 6 decimal places? -0.000024 Round 9679000 to the nearest 1000000. 10000000 What is 0.000005002 rounded to seven decimal places? 0.000005 Round -26516000 to the nearest one hundred thousand. -26500000 Round 0.0061896 to 4 dps. 0.0062 What is 0.000418 rounded to four dps? 0.0004 What is 0.000099567 rounded to 6 dps? 0.0001 Round -391640000 to the nearest one million. -392000000 Round -152000 to the nearest one million. 0 What is 0.00009831 rounded to 6 decimal places? 0.000098 Round -98.6 to the nearest integer. -99 What is -7133600 rounded to the nearest one hundred thousand? -7100000 Round 41150000 to the nearest one million. 41000000 What is 153710 rounded to the nearest 10000? 150000 What is 0.00046131 rounded to four dps? 0.0005 Round -7850000 to the nearest one hundred thousand. -7900000 What is 1850000 rounded to the nearest one million? 2000000 Round 3035 to the nearest 100. 3000 What is 3974700 rounded to the nearest one hundred thousand? 4000000 Round -35.8 to 0 dps. -36 Round -221780000 to the nearest one million. -222000000 Round 0.00017191 to six decimal places. 0.000172 Round 66.58 to the nearest ten. 70 Round 0.0784 to 3 decimal places. 0.078 Round -9410000 to the nearest one hundred thousand. -9400000 What is -0.47 rounded to one dp? -0.5 What is -900.89 rounded to the nearest one hundred? -900 Round -223030 to the nearest 10000. -220000 Round -46030 to the nearest ten thousand. -50000 Round -529.85 to 0 dps. -530 What is 0.000066695 rounded to 5 dps? 0.00007 What is -21.233 rounded to zero decimal places? -21 What is 0.0719 rounded to three decimal places? 0.072 What is -821300 rounded to the nearest one hundred thousand? -800000 What is -0.0066 rounded to 3 dps? -0.007 What is -0.9649 rounded to 1 dp? -1 What is 81700 rounded to the nearest one thousand? 82000 What is -93.3 rounded to the nearest 10? -90 Round -14070 to the nearest 10000. -10000 What is -0.004018 rounded to 4 dps? -0.004 Round 20440 to the nearest one hundred. 20400 What is 0.00001006 rounded to 6 dps? 0.00001 What is -8136.9 rounded to the nearest one thousand? -8000 What is 848 rounded to the nearest one hundred? 800 What is -256.09 rounded to the nearest 100? -300 Round -744.6 to the nearest one hundred. -700 What is -59.127 rounded to the nearest integer? -59 Round 64.85 to 0 dps. 65 What is -966000 rounded to the nearest ten thousand? -970000 Round 0.366 to one decimal place. 0.4 What is 0.0060434 rounded to four dps? 0.006 Round -4490000 to the nearest one hundred thousand. -4500000 What is 0.882 rounded to two dps? 0.88 Round -0.0000183461 to six decimal places. -0.000018 Round 0.000005016 to six decimal places. 0.000005 What is 66.1 rounded to 0 dps? 66 Round -0.00000775 to 6 decimal places. -0.000008 What is -0.0000008161 rounded to 7 decimal places? -0.0000008 Round -0.000009207 to seven dps. -0.0000092 Round 0.0000455 to six decimal places. 0.000046 Round -414.2 to the nearest 100. -400 What is 502000 rounded to the nearest 100000? 500000 What is -0.061 rounded to 1 dp? -0.1 What is -0.0001794 rounded to 4 dps? -0.0002 Round 9340 to the nearest one thousand. 9000 What is -3.39442 rounded to 2 dps? -3.39 What is 0.018683 rounded to 4 decimal places? 0.0187 Round -0.00001538 to 6 dps. -0.000015 What is -2.0811 rounded to one decimal place? -2.1 What is -101100 rounded to the nearest ten thousand? -100000 What is 3091100 rounded to the nearest ten thousand? 3090000 Round 9430000 to the nearest 100000. 9400000 Round -214700 to the nearest 100000. -200000 Round -0.0043894 to four dps. -0.0044 Round 3.1786 to 2 dps. 3.18 What is 0.00051036 rounded to four decimal places? 0.0005 What is 0.000004999 rounded to six decimal places? 0.000005 What is -23.22 rounded to zero decimal places? -23 Round 0.0000013952 to 7 decimal places. 0.0000014 Round 0.000000785 to 7 decimal places. 0.0000008 What is -0.00000127471 rounded to 7 dps? -0.0000013 Round -0.000000712 to seven decimal places. -0.0000007 Round -2532460 to the nearest 100000. -2500000 Round 23000 to the nearest 1000. 23000 What is -11.392 rounded to one decimal place? -11.4 What is -0.0000115933 rounded to 6 decimal places? -0.000012 What is -0.0000006669 rounded to 6 dps? -0.000001 What is 26.43 rounded to zero decimal places? 26 What is -2840 rounded to the nearest 100? -2800 What is 7950000 rounded to the nearest 100000? 8000000 What is 9350 rounded to the nearest one thousand? 9000 What is 16.587 rounded to 1 dp? 16.6 Round 97020 to the nearest one thousand. 97000 What is 0.032911 rounded to 3 dps? 0.033 What is -0.02796 rounded to 2 dps? -0.03 Round 0.067 to 2 decimal places. 0.07 Round 10920000 to the nearest one million. 11000000 Round -1172.51 to the nearest 10. -1170 What is -0.000001205 rounded to 7 decimal places? -0.0000012 Round 0.1056 to two dps. 0.11 What is 41710000 rounded to the nearest one million? 42000000 What is -1595.2 rounded to the nearest 10? -1600 What is -0.002523 rounded to 4 dps? -0.0025 Round 0.000241348 to 6 decimal places. 0.000241 What is 0.5118 rounded to 2 dps? 0.51 Round -21.44 to 1 dp. -21.4 Round -2.6145 to 1 dp. -2.6 What is 0.0000105266 rounded to 6 decimal places? 0.000011 What is 7650 rounded to the nearest 100? 7700 What is -0.018865 rounded to three decimal places? -0.019 What is -0.2927 rounded to two decimal places? -0.29 What is -0.006659 rounded to 5 decimal places? -0.00666 What is 0.00004393 rounded to 5 dps? 0.00004 Round -665000 to the nearest 10000. -670000 What is 13500 rounded to the nearest ten thousand? 10000 Round -2058400 to the nearest 10000. -2060000 What is -0.041481 rounded to 2 decimal places? -0.04 Round -79129000 to the nearest 1000000. -79000000 Round -27498 to the nearest 100. -27500 What is -0.0015225 rounded to four dps? -0.0015 What is 0.000015434 rounded to 6 dps? 0.000015 What is 11.184 rounded to 1 decimal place? 11.2 Round -0.449 to two dps. -0.45 Round -156.28 to the nearest 10. -160 What is 518.08 rounded to the nearest ten? 520 Round -50010 to the nearest 1000. -50000 Round 1.91 to 1 decimal place. 1.9 What is -0.00193792 rounded to five decimal places? -0.00194 What is 21370 rounded to the nearest ten thousand? 20000 What is -0.000015591 rounded to seven decimal places? -0.0000156 Round -0.005564 to four decimal places. -0.0056 What is 13.5 rounded to the nearest 10? 10 What is -50.821 rounded to the nearest ten? -50 Round 0.7119 to 1 dp. 0.7 Round 1610420 to the nearest 10000. 1610000 What is 0.013586 rounded to 2 decimal places? 0.01 What is 0.015065 rounded to 4 dps? 0.0151 What is 0.028538 rounded to 4 decimal places? 0.0285 Round -0.27351 to 3 decimal places. -0.274 What is -0.03384 rounded to 2 dps? -0.03 Round 0.0000543464 to six decimal places. 0.000054 What is 0.000405 rounded to 4 dps? 0.0004 What is 21.61 rounded to 0 dps? 22 What is 4040000 rounded to the nearest 100000? 4000000 What is -0.000004792 rounded to 6 decimal places? -0.000005 Round 28550 to the nearest 100. 28600 Round 31.8676 to one decimal place. 31.9 Round -182.14 to the nearest te
{ "pile_set_name": "DM Mathematics" }
and give h. -1626 Rearrange 300*p**3 + 373*p + 126*p - 302*p**3 to the form o + k*p + q*p**2 + l*p**3 and give k. 499 Express k - k + 3*k - 16*k**4 - 1 - 5*k in the form n*k**4 + u*k + s*k**2 + l + m*k**3 and give l. -1 Express (-11*d**2 + d**2 - 7*d**2)*(-4 + 4 - 3) + 3*d**2 - 6*d**2 + d**2 as k + z*d**2 + s*d and give z. 49 Rearrange (15*v**2 + 6 - 4 - 3*v**2)*(1 + 7 + 4) to the form w*v + r*v**2 + h and give r. 144 Express -81*f**2 - 488*f**2 - 196*f**2 + f - f in the form n*f**2 + k + o*f and give n. -765 Rearrange 65*o**2 + 38*o**2 - 1 + 1 + (-3*o + 3 - 3)*(-4*o - 2*o + 3*o) to z + m*o**2 + a*o and give m. 112 Express f**2 - 56*f**4 + 80*f**4 - 2*f**2 + (-2*f**3 + f**3 - f**3)*(-2*f + f + 0*f) as g + h*f**3 + v*f**4 + t*f**2 + s*f and give v. 26 Express d**3 + 12140*d + 5 - 12142*d - 2*d**2 + 0*d**3 in the form z*d**2 + v + b*d + m*d**3 and give b. -2 Express 20*l**2 + 15 - 15 + (0*l**2 - 3*l**2 + l**2)*(0 - 1 - 3) - l - 5 + 5 + 2*l**2 in the form k*l**2 + t + z*l and give z. -1 Rearrange -z**3 + 6*z - 7 - 2 + 0*z**3 + 6 to v*z + b*z**2 + s + p*z**3 and give v. 6 Rearrange (233 + g**2 - 214 - 2*g**2 + (1 - 1 + g)*(2 - 2 + 3)*(0*g - 3*g + 2*g))*(0*g - 2*g + g) to the form t*g + v + p*g**3 + c*g**2 and give t. -19 Express -5 - h**2 + 16 - 11 + 2*h + 2*h as a*h + u*h**2 + t and give a. 4 Express (248 - 248 + 15*f)*(1 + 2 - 2) - 4*f + 2*f - f + 5*f - 6*f - 3*f in the form v*f + i and give v. 8 Rearrange (q + 2*q - 2*q)*(5*q + 0*q - 4*q) + (0*q - 119*q - 170*q)*(3*q + 4*q - 6*q) to the form i*q**2 + y + w*q and give y. 0 Rearrange w**4 + 4*w**3 - 2*w**2 - 7 - 3*w + 13*w**3 + 8 - 9*w**3 + 0*w**2 to the form z + p*w**2 + k*w**4 + f*w**3 + i*w and give p. -2 Rearrange 708*t - 462*t - 773*t to z + l*t and give l. -527 Express (1 - 1 - 24*l - 16*l)*(-l**2 + l**2 - l**2) in the form h + j*l + k*l**2 + m*l**3 and give j. 0 Express -1 + 1 - 34*n + (12*n - 13*n - 11*n)*(6 + 0 - 5) as h*n + t and give h. -46 Rearrange (3*y**2 - 2*y**2 + 2*y**2)*(-143*y - 133*y - 255*y) to o*y**2 + v + s*y**3 + j*y and give s. -1593 Express -63*m**2 + 26*m**2 - 3*m**3 + 58*m**2 + m in the form p + b*m**2 + x*m + h*m**3 and give x. 1 Rearrange -199*s - 40 + 73 - 33 to y*s + a and give y. -199 Express -7*k**2 - 11 + 1 + 5 in the form q*k + r*k**2 + z and give r. -7 Rearrange (g**3 + 1 - 4 + 5)*(-g + g + 3*g) + (-2 + 3 + 0)*(-6*g**4 - 12*g**4 - 12*g**4) to the form a*g**3 + m*g**2 + s*g + b + d*g**4 and give d. -27 Rearrange (-1765 + 3427 + 1690)*(-5*b**2 + b**2 + 3*b**2) to a*b + n + i*b**2 and give i. -3352 Express 2*a**4 + a - 17*a**4 - 3*a**2 - 2*a + 8*a**4 + 2 in the form b*a**4 + y + g*a + j*a**2 + q*a**3 and give j. -3 Rearrange -82*r + 32*r + 30*r - 1 + 24*r to w + h*r and give h. 4 Rearrange -15*m + 8*m**3 - m**4 - 5*m - 7*m**3 + 6*m**2 - 2*m**3 to v*m + f + l*m**4 + a*m**3 + c*m**2 and give v. -20 Express (0 + 1 + 1)*(3 + 0 - 4)*(-3 + 0 + 2)*(22 + 18 + 11)*(-5*i - i + 4*i) as d*i + g and give d. -204 Rearrange (1340*w**2 + 8*w + 1 - 14*w - 1349*w**2)*(-1 + 2*w + 1) to the form r*w**2 + m*w + f + q*w**3 and give r. -12 Rearrange -1 - 13*u**2 - 7*u**2 + 6*u**3 + 2 + u + 2*u**4 - 4*u**3 to the form f*u + p*u**2 + k*u**3 + x + m*u**4 and give m. 2 Rearrange (18 + 2*g - 22 + 10)*(5*g + 4*g + 13*g) to the form w*g + j*g**2 + b and give w. 132 Rearrange 9*x**2 + 84*x**2 - x**2 - 3*x + (3*x - 3*x + 2*x**2)*(-5 + 2 + 2) to v*x + p + f*x**2 and give f. 90 Rearrange (5*g + g - g)*(-23*g - 68*g + 241*g)*(2*g**2 + 4*g**2 - 4*g**2) to j*g**2 + m*g**4 + t + q*g**3 + i*g and give m. 1500 Express 10*o**2 - 7*o**2 + 4*o**2 + (4*o + 2*o - 5*o)*(o + 2 - 2) as j + p*o + b*o**2 and give b. 8 Express 8*m + 44*m + 79*m + 12*m in the form f + v*m and give v. 143 Express 5*y**3 + 13*y**3 - 36 - y + 32 - y**2 as f*y**3 + i*y + p*y**2 + d and give i. -1 Rearrange (-4 + 5 - 3)*(-17 + 19*i + 17)*(-1 - 4 - 8) to the form y*i + o and give y. 494 Express (-f**2 + 0*f**2 + 3*f**2)*(-2 - 2 + 5) + 97 + 7170*f - 7169*f + 20*f**2 - 18*f**2 in the form b + w*f**2 + a*f and give b. 97 Rearrange 319*i**4 - i - i**3 - 160*i**4 + 1 - 2*i**2 - 164*i**4 to d*i**2 + n + j*i**4 + z*i + w*i**3 and give w. -1 Rearrange (-2*d - 5*d + 4*d)*(55*d + 27*d - 26*d + 23*d) to the form y*d + z*d**2 + p and give z. -237 Rearrange -3*h**3 - h**2 + h - 72*h**3 + 10*h**3 to the form i + c*h**3 + q*h + o*h**2 and give c. -65 Rearrange -937 + 937 - 228*o**2 to the form h*o**2 + y + a*o and give h. -228 Rearrange -71*p + 37*p + 96*p + ((5 - 2*p - 5)*(1 - 5 + 5) + p + 0*p - 3*p)*(-4 - 3 + 8) + (-3 + 6 - 4)*(2*p + 3*p - 4*p) to o*p + l and give o. 57 Express -128*f + 8*f + 5*f**2 - 3*f - 21*f in the form s*f + h + r*f**2 and give s. -144 Rearrange -1668*f**2 - 3*f + 2*f + 1669*f**2 + 5 to the form w*f**2 + p*f + y and give p. -1 Rearrange -12 + 9 + 15 + 3*p**2 + 24 - 2*p to a + o*p + t*p**2 and give t. 3 Rearrange 2*t**4 + 0*t - 2*t**2 - 28981*t**3 + 28983*t**3 - 20*t - 19*t to the form c*t + i*t**4 + r + l*t**2 + h*t**3 and give h. 2 Rearrange 13*u + 28 + 14 + 5 - 14*u to the form l + g*u and give l. 47 Rearrange 2*d - 5 - 9*d**3 + 0*d**3 + 7*d**3 to the form a + g*d + u*d**2 + o*d**3 and give g. 2 Rearrange -684 - 261*b + 233 + 224 + 228 to a*b + z and give z. 1 Rearrange 21 + 0 - 7 - 3*n**2 - 2*n**4 - 9 - 6 + 2*n**3 to u*n**2 + w*n**4 + x + o*n + c*n**3 and give c. 2 Express (222*w**2 - 2*w**3 - 222*w**2)*(-1 + 2 - 2)*(-7 + 17 - 11)*(-2 + 2 + 2) in the form u*w + f + b*w**2 + s*w**3 and give s. -4 Rearrange (32 - 16 - 14 + 104*o)*(-o + 17*o - 6*o) to the form h*o**2 + z*o + f and give f. 0 Express (-216 - 32 - 5)*(-3 - s + 3) as d + u*s and give u. 253 Rearrange (-4*y + 2*y + 4*y - 3*y)*(104*y + 1015*y + 157*y) to h*y**2 + b*y + n and give h. -1276 Express 126*z**3 + 3*z**2 - 28*z**3 + 60*z**3 as d*z**2 + q*z**3 + y*z + k and give q. 158 Express -482830 + 482830 + 11*v as h*v + a and give h. 11 Rearrange -2*y**2 + 2 + 68 + 8911*y**4 - 8908*y**4 to l + z*y + r*y**4 + k*y**2 + h*y**3 and give h. 0 Express 4*h**2 - 398*h**4 + 395*h**4 + 3 - 2*h**3 - 3 in the form u*h + c*h**4 + r*h**3 + w + t*h**2 and give t. 4 Express 2428 - 2428 - 23*c + c**2 as k + g*c**2 + p*c and give p. -23 Express ((1 - 4 - 3)*(-6*d + 2*d + 2*d) + 3*d + 28 - 28)*(5 - 1 - 1) - 5*d + 3*d + d + 2 in the form t + x*d and give x. 44 Express 93*i**2 - 3201 + 3201 in the form x*i**2 + j + d*i and give x. 93 Rearrange 8 - 118*m - 15 + 7 to the form z + v*m and give v. -118 Rearrange (-1 + 1 + 2*u)*(2*u**2 + 4 - 4) + 3 - 3 + 632*u**3 - 4082*u**3 - u**3 + u**3 + 2*u**3 to the form d*u + x*u**3 + f + o*u**2 and give x. -3444 Rearrange -5*d**2 - 1 - 2*d - 1845*d**3 + 1794*d**3 + 7*d**2 to g*d + q*d**3 + w*d**2 + s and give g. -2 Rearrange 226*c**2 - 257 + 695*c**2 + 257 to the form q + v*c**2 + w*c and give v. 921 Express 2 - 148*x - 6*x**4 + 91*x - 2*x**2 + 47*x in the form m*x**3 + z*x + r*x**2 + v + i*x**4 and give z. -10 Express -202 + 207 + 25*q - 95*q as p*q + l and give p. -70 Rearrange (-3*i**2 + 0*i**2 + 2*i**2)*(777*i**2 - 72*i**2 + i - 339*i**2) to the form o + d*i + n*i**3 + z*i**2 + k*i**4 and give k. -366 Express (2*m**2 - m**2 - 3*m**2)*(2*m - 2*m - m) + m**2 - m**2 + 2*m**3 - 1 + 282*m + 2*m**3 + 224*m - 232*m as a*m**3 + o + t*m + c*m**2 and give o. -1 Rearrange -120*d**2 - 78*d**2 - 4*d + 4*d to u + i*d + g*d**2 and give g. -198 Express (4*u + u - 2*u)*(49*u**2 - 76*u + 76*u) - 2 + 2 + 2*u**3 as y*u + g*u**3 + d + j*u**2 and give g. 149 Rearrange a + 24*a**2 - 3 - 23*a**2 + 2*a**2 to the form j*a + d*a**2 + h and give h. -3 Rearrange -23 + 26 - 6*p - 3 + 63*p**2 to i*p**2 + z + l*p and give i. 63 Rearrange 2*b + 23*b**3 - 12*b**3 - 20*b + 2 - 13*b**3 to d*b**2 + r*b**3 + s + i*b and give s. 2 Express 239117*d**2 - 68*d - 34*d + 3*d**3 - 239118*d**2 as l*d + k*d**3 + u*d**2 + o and give l. -102 Rearrange 34*b**3 - 25 + 23 - 2*b - b**2 - b**4 - 42*b**3 to r*b**2 + h + g*b + x*b**4 + a*b**3 and give g. -2 Express -448*a**2 + 1603*a**2 - 397*a**2 + 387*a**2 + 1127*a**2 in the form m*a + t + i*a**2 and give i. 2272 Rearrange -5 - 503*i + 6 - 5 + 3 to t + c*i and give t. -1 Express (-40*w**2 + w - 164*w**2 - 64*w**2 - 4*w)*(1 - 5 + 1) as l + f*w**2 + b*w and give f. 804 Rearrange 6 - 123*r**3 + 4*r**3 - 6*r**3 + 66*r - 66*r to the form g*r + k*r**3 +
{ "pile_set_name": "DM Mathematics" }
wrt j. 12*j*k + 6210*j - 74*k + 2 What is the second derivative of 2*c**3*f**2*u - 96*c**3*f**2 - 166*c**3 - 2*c**2*f - 2*c*f*u + 3*f**2*u + 2*f**2 wrt f? 4*c**3*u - 192*c**3 + 6*u + 4 What is the third derivative of 1313*c*l**3*w**3 - 8*c*l**3*w**2 - 3*c*l - 3*c*w + 5*l**2*w + 2*w**3 - 18*w wrt l? 7878*c*w**3 - 48*c*w**2 What is the third derivative of 882383*d**3*m*n**3 - d**2*m*n**2 - 169*d**2*n**3 + d**2 + 2*d*m*n**3 + 4*d*m*n + 2*d*n**2 wrt d? 5294298*m*n**3 Find the third derivative of -2835*m**3 - 104399*m**2. -17010 What is the first derivative of 43*g**3 - 1965*g + 91539? 129*g**2 - 1965 What is the third derivative of -213*f**3*q**2 - 4*f**3*q - 13672*f**2*q - 2*f*q**2 wrt f? -1278*q**2 - 24*q Find the second derivative of -1009588*f**2 + 202241*f wrt f. -2019176 Find the second derivative of 48385*g**2 + 13*g + 3314. 96770 What is the derivative of 548*t**2*y**3 + 39*t**2 + 34*t - 9*y**3 wrt y? 1644*t**2*y**2 - 27*y**2 Differentiate -70*b**2*v - 450226*b**2 - 4624*b*v wrt v. -70*b**2 - 4624*b What is the second derivative of -2*g*h**4 + 2*g*h + 39557*g - 13373*h**4 wrt h? -24*g*h**2 - 160476*h**2 What is the second derivative of -27838*c**5*s - c**2*s**3 - 10*c*s**3 + 445*c*s + 4*s**3 wrt c? -556760*c**3*s - 2*s**3 Find the third derivative of 269606*u**3 + 4*u**2 + 453*u + 7 wrt u. 1617636 What is the second derivative of -40114*f**3 + 11755*f - 2? -240684*f What is the third derivative of 4*s**6 + 13*s**5 - 2339*s**3 - 303*s**2 - s - 1386 wrt s? 480*s**3 + 780*s**2 - 14034 Differentiate -47126*k**4 - 29722 with respect to k. -188504*k**3 What is the first derivative of t**3*y**3 + 344*t**2*y**3 + 4*y**3 - 3*y**2 + 99*y wrt t? 3*t**2*y**3 + 688*t*y**3 Find the second derivative of j**3 - 22965*j**2*v - j**2 - 64623*j*v + v wrt j. 6*j - 45930*v - 2 Find the third derivative of 91028*q*y**3 - 5*q*y**2 + 2*q - 722 wrt y. 546168*q Find the first derivative of -10694*z**2 + 11*z + 338214. -21388*z + 11 Find the second derivative of -25*b*t**3 + 3*b*t + b*v**3 + b*v**2 - 10881*t**5*v**3 + t*v**3 + 175*t*v**2 - 13*v wrt t. -150*b*t - 217620*t**3*v**3 What is the second derivative of -81308*c**2*k**2*z**2 - 3200*c**2*k**2*z + 9*c**2*k*z - k**2*z**2 + 2*k*z wrt z? -162616*c**2*k**2 - 2*k**2 Differentiate 434*j**3*v + 9*j*v + 43*v - 89 with respect to j. 1302*j**2*v + 9*v What is the second derivative of -2*v**5 - 3113*v**4*z**3 - 568*v - 2*z**3 wrt v? -40*v**3 - 37356*v**2*z**3 What is the second derivative of -37*q**4 + 3*q**3 + 4*q**2 + 895*q? -444*q**2 + 18*q + 8 Find the second derivative of 5*l**2*p**2 + l**2*p - 641*l**2 + 5*l*p**2 - 151*l*p + 10*p**2 wrt l. 10*p**2 + 2*p - 1282 Find the third derivative of -7*k**6 - 2116*k**3 + 2*k**2 + 8817. -840*k**3 - 12696 Differentiate 581*n**4 + n**2*z**2 + 14*n*z**2 - 301*z**2 - 127*z - 2 wrt n. 2324*n**3 + 2*n*z**2 + 14*z**2 Find the first derivative of -12*k**2*q**2 + 118*k**2 + 3669*k*q**2 - 409*k wrt q. -24*k**2*q + 7338*k*q Find the third derivative of 12*j**2*o**3 + 10535*j**2*o**2 + 3946*j*o**3 + 2*j*o**2 wrt o. 72*j**2 + 23676*j What is the second derivative of 85239*h**5 + 32*h - 4491 wrt h? 1704780*h**3 Differentiate -14*d**4 + 117*d**3 - 2*d**2 + 41061 with respect to d. -56*d**3 + 351*d**2 - 4*d What is the second derivative of -2*c**3 + 17410*c**2 - 515*c + 11? -12*c + 34820 What is the third derivative of -258124*t**6 - 2*t**2 + 2*t - 2098 wrt t? -30974880*t**3 Differentiate 6*d**3*l**2 - 176*d**3 + 245*d**2 + 4*d*l**2 - 42*l**2 - 57*l wrt l. 12*d**3*l + 8*d*l - 84*l - 57 What is the third derivative of -181707*o**3 - 71460*o**2 wrt o? -1090242 Find the first derivative of -29810*h**3*q + 2891*h**3 wrt q. -29810*h**3 What is the third derivative of 715*k**6 - 2*k**5 - 8*k**4 - 765690*k**2? 85800*k**3 - 120*k**2 - 192*k What is the first derivative of -4*m*r**2 + 2264*m*r + 319285*m - 2*r**2 - 2*r wrt r? -8*m*r + 2264*m - 4*r - 2 Differentiate -139607*d**3 - 656385 wrt d. -418821*d**2 Find the third derivative of -k**3*q**6 - 25*k**3*q - 22*k*q + 24268*q**6 + q**2 wrt q. -120*k**3*q**3 + 2912160*q**3 What is the second derivative of -l**2*z**3 - 418408*l**2 - 69462*l + 8*z**3 wrt l? -2*z**3 - 836816 Find the third derivative of f**6 - 14854*f**5*g**2 + f**2*g + 6*f**2 + 2*f*g**2 - 854*g wrt f. 120*f**3 - 891240*f**2*g**2 What is the second derivative of -11*b**5*q - 9*b**2*q**2 - 10*b**2 - 3*b*q**2 + 706*b + 2 wrt b? -220*b**3*q - 18*q**2 - 20 Find the second derivative of -53571*y**3 - 3*y + 3933. -321426*y Find the first derivative of 673044*t + 263647. 673044 What is the third derivative of 3*a**3*j**2*w + 13325*a**3*j*w + 97*a**2*j**2 - 22*a*w - j**2 wrt a? 18*j**2*w + 79950*j*w What is the second derivative of 529*g**3*j**2 + 47*g**3 + g**2*j**2 + 960*g + 64*j**2 + j wrt g? 3174*g*j**2 + 282*g + 2*j**2 What is the first derivative of 46724*p**2 + 55431? 93448*p What is the second derivative of -446*c*d**5 + 20*c*d**3 + 117*c*d - 413*c - 6*d**3 + d + 1 wrt d? -8920*c*d**3 + 120*c*d - 36*d What is the second derivative of 54043*x**2 - 20445*x? 108086 What is the second derivative of -3*a**4 + 2*a**3 + 5874*a**2 + 658367*a wrt a? -36*a**2 + 12*a + 11748 What is the first derivative of 278*l**2 - 20*l - 638563? 556*l - 20 Find the third derivative of 83651*t**3 - t**2 - 7*t + 517. 501906 Find the second derivative of 773797*i**3 + 515426*i wrt i. 4642782*i Find the third derivative of h**2*v**3 + 2*h**2*v + 10*h**2 - 6*h*v**3 + 28*h*v**2 + 2*h + 8914*v**3 - 2*v**2 wrt v. 6*h**2 - 36*h + 53484 What is the derivative of 949*x**3 - 4*x**2 - 69837? 2847*x**2 - 8*x What is the first derivative of -26*s**2 + 131*s + 25453 wrt s? -52*s + 131 Find the second derivative of 370613*d**2 - 1343975*d wrt d. 741226 Differentiate -211402*g**3*o - 7*g**3 + 8*g**2 - 167 with respect to o. -211402*g**3 Differentiate -2*r**3 - 756803*r**2 - 1623054 wrt r. -6*r**2 - 1513606*r What is the third derivative of 3836638*u**4 - 550*u**2 - 1313? 92079312*u Find the first derivative of -5*k**4 + k**3 + 73*k - 2700. -20*k**3 + 3*k**2 + 73 Find the second derivative of 13*f**3*o**2 - 5*f**3*o + 2*f**2*o**2 + 920*f*o**2 + 107*f*o wrt o. 26*f**3 + 4*f**2 + 1840*f Differentiate 84186*c**2 + 127902. 168372*c Find the third derivative of -277625*l**5 - 267784*l**2. -16657500*l**2 Find the third derivative of 22341*l**2*p**3 - 1086*l**2*p - 14*l*p**2 wrt p. 134046*l**2 What is the third derivative of 74633*j**6 + 48*j**2 - 7106? 8955960*j**3 What is the second derivative of -109*v**2*z**3 + 149*v**2 + 12636*v*z**3 + 4*v*z**2 wrt v? -218*z**3 + 298 What is the third derivative of 726312*n**3 - 8*n**2 + 4301*n + 2 wrt n? 4357872 What is the second derivative of -103723*p**3 - 13*p + 1348 wrt p? -622338*p Find the second derivative of 1389224*d**2 - 2*d - 125593. 2778448 Find the second derivative of 36090*u**3 - 6559*u - 5. 216540*u What is the second derivative of -301619*o**3 + o + 174581? -1809714*o What is the second derivative of -2163*c**2*l**3 - 5*c**2*l*n - c**2*n**2 - 9*c*l**3 - c*l**2*n + l**3*n**2 + 11*l**2*n**2 + 5*l**2*n wrt c? -4326*l**3 - 10*l*n - 2*n**2 Find the third derivative of -4*a**3*c**3 - 739*a**3*c**2 - 10*a**3 - 151*a**2*c**3 - 55*a*c**3 wrt a. -24*c**3 - 4434*c**2 - 60 What is the second derivative of -105258*k**2 - 4*k - 9694 wrt k? -210516 Find the second derivative of 41*v**3*w - 3037446*v**3*y**2 - 2*v**2*w**2*y**2 + 60*v**2*w**2 + 97*v*w*y wrt y. -6074892*v**3 - 4*v**2*w**2 What is the second derivative of 21*h**4*i**3 + 4990*h**3*i**3 + 11140*h*i**3 - 6*h + 2*i wrt h? 252*h**2*i**3 + 29940*h*i**3 Differentiate -8*d**2*y + 4569151*d**2 + 110388*y with respect to y. -8*d**2 + 110388 What is the second derivative of 1131925*v**2 + 3*v - 197438? 2263850 What is the second derivative of 13*b*h*p**2 + 17*b*h*p - 2*b*h - 3*b*p**3 + 3*b*p**2 - 2*b - 6*h*p**3 + h*p + 5*h wrt p? 26*b*h - 18*b*p + 6*b - 36*h*p What is the second derivative of 1770677*f**4 + 33520*f - 34 wrt f? 21248124*f**2 Find the third derivative of -3*l*y**4 + 18343*l*y**3 + 2*l*y**2 - 877*y**2 + 23 wrt y. -72*l*y + 110058*l Find the third derivative of 59666*z**3 + 59*z**2 + 11*z - 4. 357996 Find the third derivative of -183069*j*l**6 - 1581*j - 3*l**2 + 47 wrt l. -21968280*j*l**3 Find the second derivative of 116891*i
{ "pile_set_name": "DM Mathematics" }
9. Calculate l(1). 13 Let x(n) = -n**3 + 7*n**2 + 20*n + 89. Calculate x(10). -11 Let b(m) = -197*m + 4504. Determine b(22). 170 Let f(h) = -8*h**2 - 94*h - 67. Determine f(-11). -1 Let s(d) = -74*d - 3308. Give s(-42). -200 Let j(l) = -33*l - 2055. Determine j(-61). -42 Let m(k) = k**3 + 17*k**2 - 6737*k - 271. Give m(-91). 2 Let w(t) = -20*t**2 + 53*t + 43. Determine w(4). -65 Let j(i) = 1317*i + 53998. Give j(-41). 1 Let o(g) = 28*g + 165. Give o(-6). -3 Let a(x) = -x**2 + 31*x - 218. What is a(25)? -68 Let g(l) = -l**3 + 6*l**2 + 21*l - 24. Determine g(9). -78 Let i(p) = 48*p - 381. Determine i(-4). -573 Let m(d) = 64*d - 224. Calculate m(7). 224 Let q(u) = 1266*u - 10135. Give q(8). -7 Let v(i) = 4*i**3 + 73*i**2 + 13*i - 11. Determine v(-18). 79 Let c(r) = -r**2 - 21*r + 43. Calculate c(-18). 97 Let y(p) = -9*p + 345. Calculate y(34). 39 Let u(o) = -3*o**3 - 19*o**2 - 24*o + 3. Give u(-2). -1 Let n(j) = -j**2 + 112*j + 1217. What is n(-10)? -3 Let s(r) = 23*r - 1090. What is s(47)? -9 Let h(r) = r**3 + r**2 - 27*r + 11. Give h(5). 26 Let a(x) = 13*x - 267. Give a(12). -111 Let n(f) = -f**3 + 23*f**2 + 81*f - 56. Give n(26). 22 Let m(v) = 23*v + 318. Give m(-15). -27 Let z(a) = -48*a - 2976. Determine z(-62). 0 Let f(p) = 8*p**2 - 222*p - 1052. Calculate f(32). 36 Let z(f) = f**2 + 59*f - 2432. Give z(-87). 4 Let q(b) = -b**3 + 82*b**2 + 163*b - 309. Calculate q(84). -729 Let i(z) = 129*z + 14574. Calculate i(-113). -3 Let o(a) = -36*a + 428. What is o(12)? -4 Let g(o) = -13*o**3 - 6*o**2 + o + 6. Give g(-2). 84 Let g(i) = -3*i**2 + 62*i - 310. What is g(10)? 10 Let x(j) = -57*j + 31. What is x(3)? -140 Let h(g) = -13*g**2 + 22*g - 42. What is h(6)? -378 Let c(k) = -k**3 + 25*k**2 - 151*k + 21. Determine c(10). 11 Let c(m) = m**2 - 50*m + 270. Determine c(6). 6 Let a(x) = -x**3 - 17*x**2 - 58*x - 20. Calculate a(-7). -104 Let j(i) = -2*i**2 - 15*i - 66. Calculate j(-6). -48 Let r(a) = -a**2 + 7*a - 40. Calculate r(6). -34 Let x(b) = -48*b - 60. Give x(-2). 36 Let c(f) = f**3 - 11*f**2 - 42*f - 5. Determine c(-3). -5 Let s(g) = -6*g**3 - 2*g**2 - 6*g - 169. What is s(0)? -169 Let x(h) = -17*h**2. Calculate x(0). 0 Let v(u) = 138*u - 828. What is v(6)? 0 Let u(c) = -1765*c - 22948. Determine u(-13). -3 Let x(v) = -24*v - 42. Determine x(-2). 6 Let y(x) = x**2 + 61*x + 479. Determine y(-8). 55 Let p(u) = -u**2 + 26*u - 29. Give p(16). 131 Let x(f) = 2*f**2 - 15*f + 54. Determine x(11). 131 Let u(v) = -2*v**2 + 71*v - 616. What is u(15)? -1 Let a(q) = q + 2. Determine a(5). 7 Let v(k) = 144*k - 2684. Determine v(19). 52 Let j(x) = 80*x - 1466. Determine j(21). 214 Let n(j) = 17*j - 153. Determine n(13). 68 Let x(u) = -2880*u - 54678. Give x(-19). 42 Let c(p) = 14*p**2 + 31*p - 1. Give c(2). 117 Let b(w) = -10*w + 358. Calculate b(4). 318 Let p(m) = 30*m + 28. Calculate p(-1). -2 Let h(d) = 357*d - 19271. Determine h(54). 7 Let g(b) = -29*b**2 - 26*b + 8. Calculate g(1). -47 Let o(m) = 44*m - 2239. Determine o(43). -347 Let m(v) = 3*v**2 + 45*v + 11. Give m(-12). -97 Let h(v) = -135*v**2 + 1225*v - 92. What is h(9)? -2 Let w(d) = 3*d**2 - 38*d - 351. Determine w(-6). -15 Let a(f) = 180*f**2 - 1092*f + 76. What is a(6)? 4 Let t(g) = -759*g - 10645. Give t(-14). -19 Let g(r) = 17*r**3 + r**2 + 7*r - 9. Calculate g(2). 145 Let o(a) = -132*a - 786. Give o(-6). 6 Let u(r) = -34*r**2 + 50*r - 91. Calculate u(2). -127 Let l(v) = -17*v**2 + 1273*v + 154. Determine l(75). 4 Let g(y) = y**2 - 2*y - 172. Calculate g(0). -172 Let l(w) = 19*w + 631. Calculate l(-35). -34 Let g(x) = 2*x**3 - 27*x**2 + 5*x + 45. Determine g(11). -505 Let q(d) = -286*d + 895. Calculate q(3). 37 Let t(b) = 15*b**2 - 474*b - 204. What is t(32)? -12 Let y(k) = -k**2 + 39*k + 142. What is y(-4)? -30 Let j(m) = m**2 + 169*m + 7131. What is j(-86)? -7 Let s(x) = -85*x - 1955. What is s(-23)? 0 Let r(q) = 59*q - 390. Calculate r(7). 23 Let i(r) = r**2 - 243*r - 2801. Determine i(-11). -7 Let z(r) = r**3 - 6*r**2 + 5*r + 6. Determine z(2). 0 Let s(y) = -2*y**3 + 194*y**2 + 195*y - 11. Calculate s(98). -109 Let q(t) = -2*t**2 - 10*t + 90. Give q(7). -78 Let m(s) = 1498*s + 5992. Give m(-4). 0 Let z(y) = 13*y**2 - 111*y - 49. Determine z(9). 5 Let h(b) = b**2 - 96*b + 189. Calculate h(0). 189 Let r(h) = -63*h - 374. Give r(-6). 4 Let r(n) = n**2 - 19*n - 681. Calculate r(-20). 99 Let a(h) = 11*h - 1. Calculate a(-5). -56 Let m(d) = 109*d - 316. Determine m(7). 447 Let v(s) = -32*s - 4. Determine v(2). -68 Let b(z) = -129*z + 3629. Determine b(28). 17 Let q(v) = v**3 + 3*v**2 - 125*v - 35. Calculate q(-13). -100 Let p(h) = h**2 + 369*h - 3811. What is p(10)? -21 Let x(h) = 216*h + 901. Determine x(-3). 253 Let k(m) = -m**3 + 13*m**2 + 21*m. Calculate k(-2). 18 Let y(u) = -219*u**2 - 3*u - 2. Determine y(-1). -218 Let g(h) = -h**3 - 7*h**2 - 8*h + 6. Determine g(-3). -6 Let l(q) = -290*q - 11586. What is l(-40)? 14 Let x(c) = -3167*c + 15819. Calculate x(5). -16 Let l(k) = 7*k**3 - 11*k**2 - 5*k + 1. Calculate l(3). 76 Let o(a) = -2*a**3 + 37*a**2 + 23*a - 85. Give o(19). -9 Let a(r) = r**3 - r**2 - 22*r - 18. What is a(-4)? -10 Let v(c) = -141*c + 4508. Determine v(32). -4 Let r(k) = k**2 + 404*k + 19548. Calculate r(-56). 60 Let s(n) = 14*n**2 + 227*n + 260. Determine s(-15). 5 Let r(x) = 181*x + 1818. What is r(-11)? -173 Let q(k) = 6*k**2 + 174*k + 606. Give q(-25). 6 Let n(v) = -541*v + 2155. Calculate n(4). -9 Let k(j) = 313*j - 3146. What is k(10)? -16 Let y(h) = 8883*h + 8889. Calculate y(-1). 6 Let j(h) = -h**3 + 15*h**2 - 2179*h + 27984. Calculate j(13). -5 Let v(j) = 27*j + 174. Give v(-5). 39 Let l(q) = q**3 + 8*q**2 + 69*q - 5. Calculate l(-4). -217 Let j(x) = 2*x**3 + 20*x**2 + 86*x + 183. Calculate j(-4). 31 Let x(y) = -y**3 - 9*y**2 + 17*y + 50. Determine x(-10). -20 Let i(a) = -a**2 - 22*a - 35. Calculate i(-4). 37 Let f(v) = -v**2 + 37*v - 211. What is f(33)? -79 Let s(z) = 2*z**3 + 44*z**2 - 41*z + 172. Calculate s(-23). 57 Let i(a) = 21*a + 115. Give i(-17). -242 Let u(g) = 35*g - 15. What is u(4)? 125 Let p(b) = -8*b**3 - 52*b**2 + 93*b - 16. What is p(-8)? 8 Let g(y) = -2*y**2 + 3710*y - 14817. Calculate g(4). -9 Let p(q) = 96*q**2 - 1148*q - 30. What is p(12)? 18 Let i(m) = -m**3 + 2*m**2 + 8*m + 27. Give i(-6). 267 Let y(f) = -3*f**3 + 14*f**2 - 23*f. Determine y(3). -24 Let r(o) = 7*o**2 + 5*o + 6. Calculate r(1). 18 Let p(o) = 6643*o - 59792. Calculate p(9). -5 Let k(f) = 2*f**3 - 236*f**2 - 5*f + 488. Give k(118). -102 Let u(b) = -b**3 + 4*b**2 - 81*b + 411. Determine u(5). -19 Let j(i) = -i**3 - 8*i**2 - 19*i - 59. Calculate j(-5). -39 Let u(m) = 5*m - 106. Give u(-7). -141 Let f(b) = b**3 - b**2 - 55*b - 112. What is f(-4)? 28 Let i(h) = 319*h - 7994. Determine i(25). -19 Let h(v) = 4*v**3 + 6*v**2 - 11*v - 68. Determine h(-3). -89 Let a(r) = 2*r**3 + 21*r**2 - 16*r + 9. Calculate a(5). 704 Let q(i) = i**2 - 27*i - 150. Determine q(31). -26 Let v(p) = -71*p**3 - 5*p**2 + 5*p - 1. Give v(1). -72 Let m(j) = 11*j**2 - 314*j - 145. Give m(29). 0 Let p(r) = 6*r + 267. Determine p(-45). -3 Let v(y) = 3*y**3 + 186*y**2 + 367*y + 421. Give v(-60). 1 Let a(z) = -56*z + 497. Determine a(7). 105 Let j(m) = m**3 + 10*m**2 + 773*m + 7728. Determine j(-10). -2 Let g(q) = 82*q - 81. What is g(1)? 1 Let a(r) = -4*r**3 - 56*r**2 + 39*r + 44. Calculate a(-15). 359 Let y(i) = -i**2 + 387*i + 39016. Determine y(-83). 6 Let i(o) = o**3 - 3*o**2 - 26*o + 23. Give i(7). 37 Let y(g) = 1498*g + 9001. Calculate y(-6). 13 Let b(m) = 3*m**2 - 159*m - 497. What is b(-3)? 7 Let f(i) = 208*i - 3005. What is f(14)? -93 Let h(x) = 24*x**2 + 309*x + 907. What is h(-3)? 196 Let s(r) = -3*r**2 - 51*r - 2. Determine s(-17). -2 Let s(w) = -92*w - 3120. Determine s(-34). 8 Let u(x) = 37*x + 135. What is u(-3)? 24 Let w(b) = b**2 + 74*b - 3024. Calculate w(30). 96 Let f(z) = 101*z + 149. Calculate f(3). 452 Let i(w) = w**2 + 52*w + 548. Calculate i(-42). 128 Let m(h) = 246*h - 1991. Determine m(8). -23 Let r(d) = 3*d**2 + 162*d - 3. Give r(0). -3 Let r(y) = 14*y + 760. What is r(-47)? 102 Let j(t) = -t**3 - t**2 + 15*t - 28. Give j(2). -10 Let o(v) = 60*v + 1725. What is o(-29)? -15 Let k(t) = 396*t + 35646. Determine k(-90). 6 Let p(j) = j**2 - 37*j - 766. Give p(-16). 82 Let i(q) = 6*q**3 -
{ "pile_set_name": "DM Mathematics" }
Sort b, 0, x in decreasing order. b, 0, x Let m be -6 + (3 - (1 + -5)). Put m, -37, -4 in decreasing order. m, -4, -37 Let j = 48/163 + -28621/326. Let o = j + 86. Sort 7, o, -3/5. o, -3/5, 7 Let t(m) = m - 16. Let b be t(6). Let y be b/12*(-36)/27. Let i = y + -11/9. Sort 3, i, -12 in ascending order. -12, i, 3 Let t(v) = v**3 + 4*v**2 - 7*v - 5. Let s be t(-5). Let g = -15.56 + 15.76. Put s, g, 3, -4 in decreasing order. s, 3, g, -4 Suppose -5*q + 4 = -6*q. Suppose 12 = 13*r - 1. Put 5, q, 0, r in decreasing order. 5, r, 0, q Let a(l) = -l**3 + 7*l**2 + 11*l - 15. Let d be a(8). Suppose -5*i - d = 1, -16 = 2*j + 3*i. Let h = -3 - -5. Sort h, -2, j. j, -2, h Let d(w) = -w**3 - 6*w**2 + 10*w + 7. Let g be d(-7). Let o be g/35*(-10)/(-14). Put 5, 4, o in ascending order. o, 4, 5 Let y = 1067 - 1060. Put 0, -1, y, -6 in ascending order. -6, -1, 0, y Let m(p) = p**2 + 1. Let l be m(-2). Let o = -413.5 + 413. Let h = -356/117 + 26/9. Sort h, l, o in ascending order. o, h, l Let x be -113*2*1*(-6)/12. Sort -0.2, x, 1/7 in ascending order. -0.2, 1/7, x Let s = -2.4 - -39.4. Let v = s - 38. Sort -1.7, -4, v in ascending order. -4, -1.7, v Let t be 3/(18 - 3) + (-44)/20. Let s(v) = -v**2 + 10*v + 12. Let a be s(11). Put a, 0, t in descending order. a, 0, t Suppose 0 = 2*w + 4*i + 66 - 18, 96 = -5*w + 2*i. Let s be 2 + 0*5/w. Sort 5, s, 0 in increasing order. 0, s, 5 Let h = -596.9 + 597. Sort -23, h, 2/7. -23, h, 2/7 Let j be 50/8 - 10/40. Suppose 0 = -4*y + 3*w - 2, 3*y + 4*w = j*w - 1. Sort -4, y, -2 in increasing order. -4, -2, y Let j = 0.2419 + -0.5419. Let n = 0 - -4. Sort 0.2, n, j in descending order. n, 0.2, j Let p = 373 + -377. Sort -2, 15, p in increasing order. p, -2, 15 Let l = -52 + 128. Let g = l - 78.3. Put -3, g, 1/5 in increasing order. -3, g, 1/5 Let z(t) = -t - 27. Let g be z(-47). Let k(p) = -p**2 + 6*p - 1. Let q be k(5). Sort q, -2, g. -2, q, g Suppose 36 = 4*f - 7*s + 3*s, 4*s + 15 = f. Let t = f - 10. Let l be (-9 - -13)*1/(-2). Put 1, t, l in ascending order. t, l, 1 Let a = 442 + -438. Sort -0.096, -2, a. -2, -0.096, a Suppose -30 - 50 = -5*b. Let p = b + -6. Let s = -21/2 + p. Sort -2, -0.3, s in ascending order. -2, s, -0.3 Let x = -12 - -10. Let a = 4.18 + -3.18. Sort x, -0.8, a, 3/2. x, -0.8, a, 3/2 Let v be 1/4 + (-237)/(-12). Sort v, -5, 3 in ascending order. -5, 3, v Let j = -36 + 33. Let m = j - -3. Sort m, -2, 5. -2, m, 5 Suppose 5*t - 35 = 5*h, 5*t = -0*h + 3*h + 31. Let s(k) = -k**3 + 5*k**2 - k + 6. Let i be s(t). Let f = 252 + -248. Put i, 0, f in descending order. f, i, 0 Let q = 179977/237652 - 101/2242. Let h = -2/53 - q. Sort h, -0.5, -2/3 in increasing order. h, -2/3, -0.5 Let d = 343 - 2407/7. Put 1, -2, d in descending order. 1, d, -2 Let r(a) = -a**2 - 9*a - 10. Let p be r(-7). Let n = 478 + -482. Sort n, p, -5, -2 in decreasing order. p, -2, n, -5 Suppose 54 = -5*a - r, 4*a + 4*r + 52 = r. Let k(n) = -n**2 - 9*n + 8. Let o be k(a). Suppose 2*x = v - 1 - 3, 8 = 2*v - 3*x. Sort v, o, 2 in increasing order. o, 2, v Let p be (-2 + 6)*3/(-6). Let l(o) be the third derivative of o**6/120 + o**5/60 - o**4/24 + o**3/2 + 6*o**2. Let h be l(0). Sort h, -3, p in increasing order. -3, p, h Let q be 6/5*2/6. Let j be (1/115)/(16/790). Let r = -7/23 + j. Put r, 4, q in ascending order. r, q, 4 Let s(q) = -q**3 - 28*q**2 - 3*q - 84. Let i be s(-28). Suppose -9 = -3*b - 24, -5*g + 4*b = -5. Sort 5, -12, g, i. -12, g, i, 5 Let u(d) = -3*d**2 - 74*d + 21. Let n be u(-25). Sort -30, n, 5, 3 in increasing order. -30, n, 3, 5 Suppose 0 = 4*v + v - 5*x + 540, 429 = -4*v + 3*x. Let u be (4/10)/(7/v). Suppose 9*p + 60 = -6*p. Sort -5, p, u in decreasing order. p, -5, u Let n = 45 + -95/2. Let a = 3 + n. Sort a, -1, -3, -4 in descending order. a, -1, -3, -4 Let h = -817/7 - -117. Put 1/3, h, 0, -3 in decreasing order. 1/3, h, 0, -3 Let a = 635 - 605. Put a, 4, 5, 2 in increasing order. 2, 4, 5, a Let l be (-2)/3*(4 + -1). Let m = -7.16 - -6.66. Sort -4, l, 0.5, m in decreasing order. 0.5, m, l, -4 Let u = 277 - 1392/5. Let j = -13/10 - u. Let t = 2/5 + j. Sort 1, t, 2/7 in descending order. 1, t, 2/7 Suppose 0 = -2*o + 32*n - 33*n + 30, 5*o - 4*n - 49 = 0. Let q = 0.07 - 3.07. Sort -1, o, q in decreasing order. o, -1, q Let z be (5 - (-93)/(-15))/(2/(-5)). Sort 7, z, -2 in descending order. 7, z, -2 Let c(p) = p**2 + 4*p - 6. Let m be c(-5). Let u = 115 - 111. Put -5, m, u in increasing order. -5, m, u Suppose 0 = 12*x - 17*x + 55. Sort -3, 0, x. -3, 0, x Suppose r = 3*h - 112, 2*h + 482 = -4*r - 3*h. Sort -1/4, 0.5, -4, r. r, -4, -1/4, 0.5 Let f(n) = 3*n - 3. Let i be f(2). Suppose 0 = -15*b + 33 - i. Sort -3, b, 0.11. -3, 0.11, b Let q = -0.21 - -0.2. Suppose -10*r = -9*r - 6. Suppose 5*u = 4*g + 45, u - r*u + 10 = 3*g. Sort -0.1, g, q in decreasing order. q, -0.1, g Let o(h) = -2*h**2 - 57*h - 25. Let m be o(-28). Let w be (-3)/(-12) + (-36)/16. Put m, -5, w in decreasing order. m, w, -5 Let q be 0/(2/2*3). Let f = q + 4. Suppose -w = -f*w - h + 39, 4*h + 48 = 5*w. Put w, 0, 1 in increasing order. 0, 1, w Let y = -13.86 - -14. Let j = y + 2.76. Let p = -3.3 + j. Put 5, p, 0.2 in descending order. 5, 0.2, p Let k(r) = -r**2 - 9*r + 13. Let i be k(-10). Let z(c) = -c**3 - 11*c**2 + 41*c - 16. Let b be z(-14). Put 25, i, b in increasing order. b, i, 25 Suppose -3*b = -2*b - 4*b. Suppose j = -2*j. Suppose 2*h = 3*p - 1, -2*p + j = 5*h + 31. Put b, 5, h in ascending order. h, b, 5 Let m = 0 + 0. Let c be (-8)/4*(-165 + 164). Sort -10, c, m in decreasing order. c, m, -10 Suppose -4*h - 36 = -2*h + 5*m, 8 = -4*m. Let q be (h/65)/(2/(-5)). Put 0, q, -1 in ascending order. -1, 0, q Suppose -1070*g - 21 = -1063*g. Put g, 5, 33, 5/4 in decreasing order. 33, 5, 5/4, g Suppose -5*o - 17 = 33. Let v be ((-36)/(-30))/((-3)/o). Suppose 3*u = -5*q - 5 + 33, -2*q - v*u = -14. Sort -3, -6, q. -6, -3, q Let d be 9/(-5) + (-1)/5. Let x be ((-2)/(-2))/((-7)/28). Suppose -2*q = 4*b + 18 - 2, 2*q + b + 4 = 0. Put q, d, x in ascending order. x, d, q Let p = 10 - 5. Let g = 9 - p. Suppose 14 = -2*q + g. Sort 3, q, 2 in descending order. 3, 2, q Suppose -5*a = -5*m + 35, a = -m - a + 1. Sort m, -2/17, -1/12 in decreasing order. m, -1/12, -2/17 Let o = 0.4 - -0.6. Let l = 4/23 + 107/46. Put l, -5/3, o in ascending order. -5/3, o, l Let f be ((-133)/21 - (-10)/(-6)) + 0. Sort 1, -4, f in increasing order. f, -4, 1 Let m = -4417 - -4422. Let j(w) = w**2 - 7*w + 4. Let x be j(4). Let o(u) = 3*u. Let h be o(-1). Sort x, m, h in increasing order. x, h, m Let x be (7/(-9))/((-966)/828). Sort -0.5, 3, x in decreasing order. 3, x, -0.5 Let t = 5818/9 + -646. Let c = 63/2 - 563/18. Put c, 0, 4, t in decreasing order. 4, t, c, 0 Suppose -2*c + 26 = -4*y - 6, 0 = 3*c - 3*y - 54. Let t be 1/(-1) + (c/(-6) - -5). Let z = -0.8 + 4.8. Sort z, -0.3, t in increasing order. -0.3, t, z Let j(a) = a**3 - 7*a**2 + a. Let m be j(7). Suppose -2*x - x = -21. Let v(f) = f - 2. Let g be v(x). Put m, g, 4 in increasing order. 4, g, m Let a = -1757 - -1538. Sort a, -2/15, 0 in decreasing order. 0, -2/15, a Let o = 0.8447 + 0.1553. Put -3, o, -57, 0.3 in increasing order. -57, -3, 0.3, o Let p be (0 - 1)*(0 - 1). Let b be p/((-5)/(-30)*-2). Sort -2/11, b, 5/6 in decreasing order. 5/6, -2/11, b Let n = 27 + -26.965. Let z = n + -23.035. Let d = 33 + z. Put d, -5, 0.1 in decreasing order. d, 0.1, -5 Suppose -2*t = -4*n - 6, -4*n + n + 13 = 2*t. Let g be 66/11*12/72 - (0 - -1). Sort n, g, -5 in descending order. n, g, -5 Let u = -34.3 + 44. Let l = -9.5 + u. Sort l, -1/2, 0.01, 0.5 in increasing order. -1/2, 0.01, l, 0.5 Suppose 67*n = 3 - 123 - 14. Suppose 9 = w + 2*w. Suppose -3*z = -w*m - 2*z - 6, 4*m + 24 = -4*z. Put n, 1, m in increasing order. m, n, 1 Let x = 7 - -11. Let j = 16.5 + 0.5. Let b = x - j. Put b, 4/5, 0.1 in descending order. b, 4/5, 0.1 Suppose 0 = -5*h - 2*b + 71, -h - 2*b = -6*h + 79. Suppose -h*f + 15 = -10*f. Sort 4, f, -13. -13, f, 4 Suppose 0 = h - 3*n - 39, -2*h - 4*n + 38 = -0. Suppose 0 = -a - 2*v - h, -12 = 5*a + 2*v + 107. Let l = a + 28. Sort l, 2, -1 in ascending order. -1, 2, l Let u = -3 + 6. Suppose -2*i + u*i = 0. Suppose 1 = -i*r + r. Put -3, r, 0 in descending order. r, 0, -3 Let c = -0.0571 - -9.0571. Sort 0, c, 3 in increasing order. 0,
{ "pile_set_name": "DM Mathematics" }
ulate the least common multiple of m and r(-7). 55 Let k be 5/30 + 1/(-6). What is the common denominator of 44/27 and ((-21)/(-45))/(k + 6/(-65))? 54 Let r(i) = -3*i - 7. Let l = 14 + -14. Suppose l = j - 0 - 6. Calculate the smallest common multiple of j and r(-5). 24 Find the common denominator of -121/6 and (-85)/(-12) + (-8)/(-24)*-9. 12 Let t be 2/4*(-3 + 3). Find the common denominator of ((-76)/(-190))/((-1)/((-235)/64)) and (-142)/(-16) - (1 + t). 32 Let q be (58736/30)/2 + 12/(-36). Suppose 3*w - 3596 = -2*x - 669, -5*w = -2*x - 4873. Let l = w - q. Find the common denominator of l and 23/4. 20 Suppose 22 = o + 7. Calculate the common denominator of 56/27 and (5/o)/(0/3 + -7). 189 Suppose -5*t + 125 = 50. Let m = 324 + -224. What is the common denominator of ((-232)/m)/((-2)/10) and t? 5 What is the common denominator of -1*(8 - 6)*19/17 and -67/6? 102 Let d(a) = a**2 - 11*a + 2. Let x be d(11). What is the least common multiple of (x/(-7))/((-9)/189) and 45? 90 Let t = -309 - -313. Calculate the least common multiple of t and 11. 44 Let h = -47680 - -343534401/7205. Let u = h - -655651/28820. Find the common denominator of u and ((-25)/(-2))/((-12)/(-10)). 12 Let l = 67 + -71. Let r(d) = -d**3 - 4*d**2 - d. Find the common denominator of -21 and r(l). 1 Suppose 4*w = -w - 3*i + 25, -i = -2*w + 10. Let n = -3481 - -55727/16. What is the common denominator of n and (-594)/(-120) + (-3)/w? 80 Let w(s) = s**2 - 9*s + 28. What is the smallest common multiple of w(13) and 14? 560 Let o(i) = i**3 - 4*i**2 - 10*i - 3. Let f be o(6). Suppose -3*k + 2*n = -24, -2*k - 4*n + f = -3*n. What is the lowest common multiple of 30 and k? 30 Let v = -4059 + 16255/4. Find the common denominator of (-4)/6 - (-686)/120 and v. 20 Let b = -314783/51 - -6172. Find the common denominator of -61/54 and b. 918 Let o(v) = v**3 - 37*v**2 - 25*v - 406. Calculate the least common multiple of 144 and o(38). 1584 Let l = 26669/6 - 4430. What is the common denominator of -1 + -30*4/342 and l? 114 Let p = 480 - 470. Suppose 4*z - 5*z + 39 = 0. What is the lowest common multiple of z and p? 390 What is the least common multiple of 126 and ((-561)/(-85) - 6)/(6/50)? 630 Let i = -787/46 - 147/23. Find the common denominator of i and 27/10. 10 Suppose -8 = 80*j - 81*j. Let i be (-2)/(-9) - (-187)/9. Let h = -3 + i. Calculate the least common multiple of j and h. 72 Suppose 8 + 10 = -b. Find the common denominator of 2/b*19/(-2) and 225/140*20/6. 126 Let v = 974 - 5945/6. Let q = -1386 - -13883/10. Calculate the common denominator of q and v. 30 Let q = 77037/45680 - -3/2855. Find the common denominator of q and -45/784. 784 Suppose 16 = -5*i - 4*w, 0*w + 2*w + 8 = -3*i. Let j(t) = -t**3 + 9. Calculate the least common multiple of 10 and j(i). 90 Suppose -4*f = w - 42, 2*w - 57 = f + 45. Let q = w - 46. What is the least common multiple of q and 10? 20 Let l = 22741/5610 - 19/935. Calculate the common denominator of -23/6 and l. 30 Suppose -27*z = -23*z - 648. What is the smallest common multiple of 16 and z? 1296 Find the common denominator of 70/183 and (-50)/7*(-70)/90. 549 Let g = -4/577 + 23697/5770. Calculate the common denominator of (6/(-70))/((-4)/(-230)) and g. 70 Suppose -3*h = -p + 11, -8*h + 10*h + 5 = 3*p. Calculate the lowest common multiple of (-44)/(-4 + p + 3) and 14. 154 Let j = -49 + 47. Let b = -167 + 1067/6. Find the common denominator of -3 - (-306)/(-48) - 6/j and b. 24 Suppose -25*v + 4*v + 273 = 0. What is the least common multiple of 13 and v? 13 Suppose 2*s = s. Let r(q) = s - q**3 - 1 + 4 - q + 4*q**2 + 2. Calculate the least common multiple of r(4) and 1. 1 Let b = 16483/461919 - 124632940633/3545690244. Let w = 76/303 + b. Let q = 474/19 + w. Calculate the common denominator of q and -81/16. 48 Let j = -728 - -937. Calculate the smallest common multiple of j and 57. 627 Suppose 5*d + w = 41, -5*d - 3*w + 11 = -32. Let q(r) = r**2 - 6*r - 13. Calculate the lowest common multiple of 3 and q(d). 3 Let x = -17 - 8. Let y = 27 + x. What is the lowest common multiple of (y - (-20)/(-8))*-14 and 6? 42 Let r be (-3626)/63*78/(-7). Let q = 23069/36 - r. What is the common denominator of q and -31/12? 36 Suppose -3*o - 2 = 5*g, 2*g + 0*o - 16 = 3*o. Suppose g*z = 4*z - 32. Calculate the common denominator of -33/8 and 0 + 1/z*-81. 16 What is the common denominator of 6/5 and ((-393)/15)/(24/5)? 120 Suppose 2*r - d - 24 = 6*r, 3*r + 4*d + 31 = 0. Calculate the least common multiple of 24 and -33*1/(r - -4). 264 Calculate the common denominator of 13/297 and (1 + 291/(-15))/(1386/(-30)). 2079 Suppose -3*h = 2*h + 14875. Let i = 1039 + h. Let f = i + 17402/9. Find the common denominator of f and 91/4. 36 Let j(t) = -2*t**3 - 15*t**2 - 10*t + 16. What is the lowest common multiple of j(-8) and 16? 160 Let y(o) = -o - 6. Let a be -1 + (10 - (2 - 2)). Let f be y(a). Let l = -5 - f. What is the lowest common multiple of 16 and l? 80 Suppose 1924 = 13*c + 117. Find the common denominator of 3*(-1)/(-12) - c/(-132) and 133/12. 132 Suppose 316 = -2*v + 304. What is the least common multiple of 70/5 - (-24)/v and 2? 10 Suppose 0*l = 3*l + 487644. Let c be (l/82104 - -2)*47. Let n = -4/933 - c. What is the common denominator of n and -51/8? 88 Let u(m) = -4*m + 3. Let o be u(12). Let r = o - -75. Suppose 6*d - 4*d - 3*p - r = 0, 0 = -5*d - 2*p + 56. What is the least common multiple of d and 1? 12 Suppose -2*o - 2*o - j = -47, -4*o + 2*j + 50 = 0. What is the smallest common multiple of o and 42? 84 Let h = -780 + -278. Let g = h + 3223/3. Let m = 5/89 + 1013/979. What is the common denominator of g and m? 33 Let f = -12443 + 199185/16. Find the common denominator of f and -37/16. 16 Let i = 3 - -6. Let q(v) = -2*v**3 - 6*v**2 - 3*v - 4. Calculate the least common multiple of q(-3) and i. 45 Let u = -3 + 5. Suppose 0 = -2*j - u*w + 6 - 2, 0 = -3*w. What is the smallest common multiple of 7 and j? 14 Let w be 158/18 - 3*(-2)/27. Suppose -2*j = -19 + w. What is the smallest common multiple of 1 and j? 5 Let m = 51/73 - -6279/730. Let s be ((-237)/(-30))/((-3)/(-669)). Let j = s - 1773. What is the common denominator of j and m? 10 Suppose -4*c + 25 = -9*c. Calculate the common denominator of -67/9 and (c/20)/(4/(-18)). 72 Suppose 4 = -4*g, 3*r + g + 135 = 11. Let h = -53 - -54. Calculate the common denominator of -9*5/55 + h and r. 11 Suppose -h + 3*h = 2*l - 10, 0 = 5*l - 3*h - 17. Calculate the lowest common multiple of 1 + (-4 - (-15)/5 - -4) and l. 4 What is the common denominator of -67/8 and ((-1)/6)/((-57404)/17145)? 904 Let o(l) be the third derivative of l**5/60 + l**4/24 - 2*l**3/3 + l**2. What is the lowest common multiple of o(-5) and 6? 48 Calculate the common denominator of ((-10)/540)/(5 - 263/55) and -49/33. 7128 Let u(b) = b + 3. Let g be u(0). Suppose g*a = 59 - 5. Calculate the smallest common multiple of a and 1/(0 - 2/(-36)). 18 Let k(g) = 112*g + 1. Let p be k(5). Let w be ((-4)/(-22) - (-37520)/66) + 1. Let x = w - p. What is the common denominator of x and 51/2? 6 Let f be (-896448)/(-377) + 2/13. Let x = f - 52391/22. Calculate the common denominator of ((-2)/(-4))/(2/86) and x. 22 Suppose 55 = -3*m - m + 5*h, 5*m - 2*h + 56 = 0. What is the common denominator of (48/10)/((-9)/m) and (-2)/(-23) - 167315/(-7521)? 3 Let j be 2/(-1 - 1/((-5335)/5337)). Let n = j + -32083/6. What is the common denominator of n and -109/12? 12 Find the common denominator of 2401/(-210) + -1*(-5)/15 and -33/4. 20 Let s(q) = 4*q**2 + 29*q + 125. What is the least common multiple of s(-5) and 40? 80 Find the common denominator of 181/140 + (-26)/182 and 19/4. 20 Suppose -4*o + 7*o - 331 = 4*c, 3*o - c = 319. Let y = o - 1154/11. What is the common denominator of y and -3/5? 55 Let f = -233 + 3457/15. Calculate the common denominator of 103/288 and f. 1440 Suppose -6*r = -3*n - 4*r + 140, 6 = 3*r. Calculate the lowest common multiple of n and 120. 240 Suppose -3*g = -6*i + 9*i - 24, 2*g - 26 = 3*i. Calculate the lowest common multiple of 115 and g. 230 Let l = 369 + -367. What is the least common multiple of l and 46? 46 Let j be (-6)/(-4)*2807/9. Let d = j - 466. What is the common denominator of 17/221 - 555/(-52) and d? 12 Let s = 13 + -5. Let f(l) = -l + 30.
{ "pile_set_name": "DM Mathematics" }
-2582, -5212, -7840, -10466? -13090 What is next in 4150, 4169, 4214, 4297, 4430, 4625, 4894? 5249 What is the next term in -18586, -74284, -167120, -297100, -464230, -668516, -909964, -1188580? -1504370 What is the next term in -308, -985, -1676, -2387, -3124? -3893 What is the next term in -1365, -3366, -6003, -9276? -13185 What comes next: -72, -236, -476, -786, -1160? -1592 What is next in -56779, -56778, -56777, -56776, -56775, -56774? -56773 What is next in 192, 406, 620? 834 What comes next: -110303, -110290, -110277, -110264, -110251, -110238? -110225 What is the next term in -355, -1425, -3215, -5731, -8979? -12965 What is the next term in 51, 270, 481, 678, 855, 1006, 1125, 1206? 1243 What is the next term in -31621, -31625, -31629, -31633? -31637 What is the next term in 102, 383, 838, 1467, 2270? 3247 What is the next term in 421, -308, -1041, -1778, -2519, -3264, -4013? -4766 What is the next term in -153, -581, -1295, -2301, -3605, -5213, -7131? -9365 What is next in 212, 242, 298, 386, 512, 682, 902? 1178 What is next in -144188, -288381, -432574, -576767, -720960? -865153 What is next in 6, 38, 94, 174, 278, 406, 558? 734 What comes next: -134215, -268432, -402649, -536866? -671083 What is the next term in 51453, 102912, 154371, 205830? 257289 What comes next: -162951, -162947, -162929, -162891, -162827, -162731, -162597? -162419 What is the next term in 2702, 4918, 7134, 9350? 11566 What is next in -126, -168, -126, 6, 234, 564, 1002? 1554 What comes next: 1600, 3664, 5728, 7792, 9856, 11920? 13984 What is the next term in 90978, 181982, 272986, 363990, 454994? 545998 What comes next: 126, 46, -64, -186, -302? -394 What is next in -98, -276, -536, -872, -1278? -1748 What is next in 1039, 3943, 8715, 15355, 23863, 34239? 46483 What comes next: -17550, -17548, -17516, -17436, -17290, -17060, -16728, -16276? -15686 What is next in -6275, -6343, -6411? -6479 What comes next: -652, -682, -728, -790? -868 What is next in 52, 26, -40, -164, -364, -658? -1064 What is the next term in -38, 9, 56, 103, 150, 197? 244 What is next in -272, -809, -1608, -2669, -3992, -5577, -7424? -9533 What is next in 4593, 4606, 4619, 4632, 4645? 4658 What is the next term in -3739, -3771, -3815, -3865, -3915? -3959 What comes next: 1611, 3460, 5563, 7914, 10507, 13336? 16395 What comes next: 218655, 218653, 218651, 218649, 218647? 218645 What is the next term in 16176, 16186, 16196? 16206 What is next in -854, -3132, -6932, -12254, -19098, -27464, -37352? -48762 What comes next: -10836, -10824, -10812, -10800, -10788? -10776 What is next in 151, 310, 467, 622, 775, 926? 1075 What comes next: -199, 67, 333, 599, 865? 1131 What is next in -764, -1513, -2242, -2939, -3592, -4189, -4718, -5167? -5524 What is the next term in 3885, 3828, 3721, 3558, 3333, 3040, 2673, 2226? 1693 What is next in -12089, -12088, -12087, -12086? -12085 What is next in -145, -300, -471, -658, -861? -1080 What is next in -542, -2145, -4834, -8621, -13518, -19537, -26690? -34989 What comes next: -82214, -82210, -82204, -82196? -82186 What is next in -10532, -10202, -9870, -9536, -9200, -8862, -8522? -8180 What comes next: -413, -301, -193, -89, 11? 107 What is next in -143, -299, -445, -575, -683? -763 What is next in -744, -761, -784, -813? -848 What is the next term in -155, -576, -997, -1418? -1839 What is the next term in -38, 7, 142, 361, 658, 1027, 1462? 1957 What is the next term in 5144, 5143, 5144, 5147, 5152? 5159 What comes next: 5305, 21223, 47755, 84901, 132661, 191035? 260023 What is next in -22583, -45173, -67777, -90401, -113051, -135733, -158453? -181217 What is next in -36966, -73925, -110884, -147843? -184802 What is the next term in 17672, 35342, 53012, 70682, 88352, 106022? 123692 What comes next: -468, -893, -1318? -1743 What is the next term in 1468, 1328, 1188, 1048, 908? 768 What is the next term in 740, 3028, 6842, 12182, 19048, 27440, 37358? 48802 What is the next term in 29666, 59336, 89006, 118676? 148346 What is the next term in -3827, -7645, -11455, -15257, -19051? -22837 What comes next: -1329, -2565, -3703, -4743, -5685? -6529 What comes next: -814, -810, -802, -790, -774? -754 What is the next term in -3, -109, -285, -531, -847, -1233, -1689? -2215 What is the next term in -61362, -61401, -61440, -61479, -61518? -61557 What is next in 665, 779, 893, 1007? 1121 What comes next: 2106489, 2106480, 2106465, 2106444? 2106417 What is next in 450, 805, 1148, 1473, 1774, 2045, 2280? 2473 What is the next term in 332, 1365, 3108, 5561, 8724? 12597 What comes next: -90, -253, -494, -813? -1210 What comes next: 26433, 26406, 26405, 26436, 26505, 26618, 26781? 27000 What is the next term in 5715977, 5715979, 5715981, 5715983, 5715985, 5715987? 5715989 What comes next: 20568, 20548, 20520, 20490, 20464, 20448, 20448? 20470 What is next in -106550, -106554, -106558, -106562? -106566 What is the next term in -5533, -5540, -5547, -5554? -5561 What is next in -1448, -2909, -4370, -5831, -7292, -8753? -10214 What is the next term in 546, 1152, 1826, 2568, 3378, 4256? 5202 What is next in 840, 866, 908, 966, 1040, 1130? 1236 What comes next: 19658, 19652, 19646? 19640 What is the next term in -10462, -20937, -31412, -41887? -52362 What is next in 448, 1690, 3762, 6664, 10396? 14958 What is next in -119, -51, 17, 85? 153 What is the next term in -2767, -2774, -2793, -2830, -2891, -2982? -3109 What comes next: -46702, -46715, -46728, -46741, -46754? -46767 What is the next term in 2913, 2773, 2629, 2481, 2329? 2173 What comes next: 5874, 11808, 17744, 23682? 29622 What is next in 45123, 90246, 135369, 180492, 225615, 270738? 315861 What comes next: -234, -554, -956, -1434, -1982? -2594 What is the next term in 24869, 49846, 74823, 99800? 124777 What is next in 234441, 234446, 234453, 234462, 234473, 234486, 234501? 234518 What is next in 1409, 1324, 1201, 1034, 817, 544, 209, -194? -671 What comes next: 129, 464, 1015, 1788, 2789, 4024, 5499? 7220 What comes next: -342, -694, -1048, -1404, -1762? -2122 What is the next term in 59283, 118591, 177899, 237207, 296515? 355823 What is the next term in 3165, 6305, 9409, 12459, 15437, 18325? 21105 What is next in -3828, -3817, -3802, -3783, -3760, -3733? -3702 What comes next: 585, 520, 411, 258? 61 What is next in 494, 229, -226, -883, -1754, -2851? -4186 What is next in 2685, 5373, 8067, 10767, 13473? 16185 What is the next term in -91, -237, -417, -649, -951, -1341, -1837, -2457? -3219 What is next in -733, -1483, -2269, -3109, -4021, -5023, -6133? -7369 What is next in 47478, 94955, 142432? 189909 What comes next: 49477, 49501, 49553, 49645, 49789, 49997, 50281, 50653? 51125 What is the next term in 295, 106, -577, -1760, -3449, -5650? -8369 What is the next term in -3440, -11118, -23908, -41804, -64800, -92890? -126068 What is next in -44, -77, -104, -125, -140? -149 What is next in 20318, 20332, 20346, 20360, 20374? 20388 What is next in -2872, -3041, -3210? -3379 What comes next: 414, 380, 324, 246, 146? 24 What is next in 1854, 3685, 5516, 7347, 9178, 11009? 12840 What is next in -9562, -19119, -28672, -38221? -47766 What comes next: 3413, 3405, 3377, 3329, 3261, 3173, 3065? 2937 What is the next term in -803203, -803209, -803217, -803227? -803239 What is next in 1210885, 2421771, 3632657, 4843543, 6054429? 7265315 What comes next: -1, 50, 127, 224, 335? 454 What is the next term in -66, -75, -76, -69, -54? -31 What comes next: -241, -219, -203, -199, -213, -251? -319 What is next in -4695, -4698, -4697, -4692, -4683, -4670, -4653? -4632 What comes next: 1104, 1117, 1146, 1197, 1276, 1389, 1542, 1741? 1992 What comes next: 20, 46, 104, 212, 388? 650 What comes next: 13753, 13757, 13761, 13765, 13769, 13773? 13777 What is next in 3, 278, 1039, 2532, 5003, 8698, 13863, 20744? 29587 What comes next: -78833, -78832, -78831, -78830, -78829? -78828 What is the next term in 2581, 2576, 2567, 2554, 2537, 2516, 2491? 2462 What is the next term in 4282, 4259, 4236, 4213? 4190 What is next in 175, 510, 1095, 1930? 3015 What is next in -278, -1706, -5178, -11588, -21830? -36798 What comes next: 9057, 18123, 27197, 36285, 45393? 54527 What is the next term in -1661, -3326, -4989, -6644, -8285, -9906, -11501? -13064 What come
{ "pile_set_name": "DM Mathematics" }
, m: 3, k: 4}. Give prob of sequence hhkw. 3/2380 Calculate prob of sequence xd when two letters picked without replacement from rprpgpdxwwpx. 1/66 Calculate prob of sequence vvv when three letters picked without replacement from vttvvv. 1/5 Two letters picked without replacement from {b: 4, y: 2, m: 1, c: 2}. Give prob of sequence bc. 1/9 Two letters picked without replacement from jtkcjcjcjt. Give prob of sequence kc. 1/30 Two letters picked without replacement from {i: 5, q: 5, g: 2, t: 1, d: 5, o: 1}. Give prob of sequence oq. 5/342 Two letters picked without replacement from {z: 5, i: 1, t: 1, u: 1, e: 1}. What is prob of sequence tz? 5/72 Four letters picked without replacement from {s: 1, x: 7}. What is prob of sequence xxsx? 1/8 What is prob of sequence aa when two letters picked without replacement from {a: 11, m: 3}? 55/91 What is prob of sequence hrxx when four letters picked without replacement from hhrxxr? 1/45 Three letters picked without replacement from oooooooooojooouoj. Give prob of sequence ujo. 7/1020 Calculate prob of sequence qr when two letters picked without replacement from qqqqqqqqqqqrqqqqqq. 1/18 Calculate prob of sequence of when two letters picked without replacement from {c: 1, o: 2, m: 2, l: 3, f: 4, i: 2}. 4/91 Two letters picked without replacement from {z: 1, a: 2, u: 1}. What is prob of sequence ua? 1/6 What is prob of sequence wk when two letters picked without replacement from {i: 6, w: 1, k: 1, n: 1, h: 3}? 1/132 Three letters picked without replacement from {y: 1, z: 2, t: 5, c: 3, u: 1}. What is prob of sequence uyz? 1/660 Calculate prob of sequence eee when three letters picked without replacement from peppep. 0 Three letters picked without replacement from sssssssssqsss. Give prob of sequence ssq. 1/13 Four letters picked without replacement from {a: 4, r: 5, g: 5}. Give prob of sequence argr. 50/3003 Three letters picked without replacement from {s: 12, p: 7}. Give prob of sequence spp. 28/323 Calculate prob of sequence bmm when three letters picked without replacement from {m: 5, b: 2, q: 2}. 5/63 Calculate prob of sequence qqqu when four letters picked without replacement from {q: 3, u: 3}. 1/20 Two letters picked without replacement from ddbdddddi. Give prob of sequence di. 7/72 Two letters picked without replacement from swssw. What is prob of sequence ss? 3/10 Two letters picked without replacement from whtwt. Give prob of sequence ww. 1/10 What is prob of sequence ffaa when four letters picked without replacement from aaff? 1/6 Three letters picked without replacement from {f: 1, q: 3, a: 1, t: 5}. What is prob of sequence fqa? 1/240 Two letters picked without replacement from {m: 9, z: 3}. Give prob of sequence zz. 1/22 Three letters picked without replacement from yslsqjqjeysss. What is prob of sequence qqe? 1/858 What is prob of sequence npuf when four letters picked without replacement from pungf? 1/120 Three letters picked without replacement from {b: 2, r: 4}. Give prob of sequence brb. 1/15 Two letters picked without replacement from {q: 4, w: 2, r: 1}. What is prob of sequence qq? 2/7 What is prob of sequence cccz when four letters picked without replacement from {z: 1, r: 1, c: 1, w: 1, p: 1, u: 2}? 0 Two letters picked without replacement from {p: 6}. What is prob of sequence pp? 1 Three letters picked without replacement from {g: 1, t: 4, e: 2, j: 4}. Give prob of sequence tee. 4/495 Calculate prob of sequence ff when two letters picked without replacement from {d: 17, f: 2}. 1/171 Three letters picked without replacement from zuinlinnil. Give prob of sequence unl. 1/120 Calculate prob of sequence tstg when four letters picked without replacement from gtstssgs. 1/105 Three letters picked without replacement from noanx. What is prob of sequence oxn? 1/30 Calculate prob of sequence cqj when three letters picked without replacement from {s: 11, j: 1, c: 2, q: 4, x: 1, l: 1}. 1/855 Calculate prob of sequence wq when two letters picked without replacement from wqqwgqpgqqgqqgwqwqp. 2/19 Three letters picked without replacement from {j: 3, g: 3, k: 3, p: 11}. What is prob of sequence jgg? 1/380 Calculate prob of sequence ofoa when four letters picked without replacement from ayofoaaayfooafaoyof. 5/646 Two letters picked without replacement from {q: 4, z: 2, y: 3}. What is prob of sequence yz? 1/12 Four letters picked without replacement from ialxaxkaaxx. Give prob of sequence akal. 1/660 Two letters picked without replacement from xxqwxdxxzwzxw. Give prob of sequence wq. 1/52 Calculate prob of sequence xttt when four letters picked without replacement from {p: 1, t: 13, x: 3}. 429/4760 Two letters picked without replacement from duppuuududpdup. What is prob of sequence dd? 6/91 Calculate prob of sequence cu when two letters picked without replacement from uuuucuumuuuucuuuuucu. 12/95 What is prob of sequence vvv when three letters picked without replacement from yyvvvv? 1/5 Calculate prob of sequence rgf when three letters picked without replacement from {r: 1, g: 4, f: 2, h: 4}. 4/495 What is prob of sequence yyvr when four letters picked without replacement from vyyrrryrr? 5/504 Three letters picked without replacement from wowwwvwwvfmmmwrrrm. Give prob of sequence fvr. 1/816 What is prob of sequence vv when two letters picked without replacement from vvpvvvvvvppvpppvvpvg? 33/95 Calculate prob of sequence uig when three letters picked without replacement from iugvv. 1/60 Four letters picked without replacement from {y: 9}. Give prob of sequence yyyy. 1 What is prob of sequence bv when two letters picked without replacement from {v: 1, e: 1, l: 1, k: 1, b: 1}? 1/20 What is prob of sequence haa when three letters picked without replacement from hhhaaa? 3/20 Three letters picked without replacement from {i: 1, h: 1, v: 2, j: 3, m: 3}. What is prob of sequence mij? 1/80 Calculate prob of sequence etze when four letters picked without replacement from stzestzntzteetznzt. 1/408 Three letters picked without replacement from zjzaczjzjzzzajjzzj. What is prob of sequence jcj? 5/816 Four letters picked without replacement from {j: 5, g: 1, d: 1, a: 4, w: 1}. What is prob of sequence jjjj? 1/99 Calculate prob of sequence psh when three letters picked without replacement from {r: 2, h: 1, v: 6, p: 6, s: 2}. 1/340 What is prob of sequence qnm when three letters picked without replacement from qmffnffq? 1/168 Two letters picked without replacement from {h: 1, v: 3, i: 1}. Give prob of sequence hi. 1/20 What is prob of sequence vr when two letters picked without replacement from prvsrwvvpprvpvvsr? 3/34 Two letters picked without replacement from {k: 1, v: 1, z: 1, h: 1, s: 2, a: 1}. What is prob of sequence ah? 1/42 What is prob of sequence ktkk when four letters picked without replacement from tcckkkcc? 1/280 Three letters picked without replacement from {l: 5, j: 1, n: 4, y: 1, g: 1, m: 1}. Give prob of sequence jmg. 1/1716 Three letters picked without replacement from hhjuhxhohxuhoxhhxxxx. Give prob of sequence oju. 1/1710 Two letters picked without replacement from {r: 1, d: 6, j: 2, i: 1, e: 9}. What is prob of sequence dd? 5/57 Calculate prob of sequence oww when three letters picked without replacement from {o: 7, w: 5, k: 2}. 5/78 What is prob of sequence vdyq when four letters picked without replacement from lqdvovolydyv? 1/990 Three letters picked without replacement from diwoodddaaoddodda. What is prob of sequence iaw? 1/1360 Two letters picked without replacement from {c: 2, u: 3}. What is prob of sequence uc? 3/10 Three letters picked without replacement from {l: 5, s: 2, n: 5}. Give prob of sequence snn. 1/33 Two letters picked without replacement from dhbtbtdh. Give prob of sequence db. 1/14 Calculate prob of sequence aozd when four letters picked without replacement from {o: 2, a: 1, q: 3, d: 1, k: 3, z: 7}. 1/4080 What is prob of sequence njn when three letters picked without replacement from {h: 7, n: 4, j: 4}? 8/455 Calculate prob of sequence jjj when three letters picked without replacement from {j: 7, o: 6, z: 1, r: 6}. 7/228 Three letters picked without replacement from {s: 2, f: 2, c: 6, p: 3, b: 1}. Give prob of sequence cfb. 1/182 Two letters picked without replacement from {p
{ "pile_set_name": "DM Mathematics" }
nits digit of z(n)? 3 Suppose 3*n - 120 = -n. Let o(s) = s - 4. Let q be o(6). Suppose 0*a + 2*a + n = q*f, -f + 4*a = 0. What is the units digit of f? 0 Suppose 5*r - 6 - 1 = -3*p, 4 = -4*p. Suppose r*k = k - 5*u + 126, -3*u + 12 = 0. What is the units digit of k? 6 Let q = 3242 - 1931. What is the thousands digit of q? 1 Let t = -42 + 44. Suppose 5*m - 3*r = 450, t*r = m - 2*r - 73. What is the tens digit of m? 9 Let q(m) = -767*m - 93. What is the tens digit of q(-2)? 4 Suppose -4*s + 3*a - 20 = 0, -5*s + 2 = -3*a + 27. Let q(m) = -m**3 - 5*m**2 + m - 5. Let z be q(s). What is the tens digit of (128/(-20))/(2/z)? 3 Let t be (2/(-4))/(5/(-30)). Suppose -3*k + k = -4*y - 18, 2*k + y = t. What is the units digit of 47/k + 8/6? 7 Suppose -8*f = -634 + 106. Suppose 0 = -g + f - 2. What is the units digit of g? 4 Suppose -19 = -3*t + 2. Let s be t/(-35) + 146/5. What is the tens digit of 1*s + 9 + -8? 3 Let f = -13 + 15. Suppose 4*o + 6 = 3*u, -o = -5*u + f - 9. Let b(s) = -3*s**3 - 2*s**2 + 3*s + 3. What is the units digit of b(u)? 3 Let l = -992 + 1561. What is the units digit of l? 9 Let g = 772 + -506. What is the units digit of g? 6 Let g = -91 + 337. What is the hundreds digit of g? 2 Let l be 0 + 2 + 14/(-7). Suppose l = k + 25 + 11. What is the units digit of (-3)/(k/(-8))*-3? 2 Suppose -6*i + 780 - 252 = 0. What is the units digit of i? 8 Let d = -3 - -3. Suppose -2*k + 201 + 14 = 3*n, 2*n + k - 143 = d. What is the units digit of n? 1 Suppose -24*f = -31*f + 3864. What is the hundreds digit of f? 5 Let q = 14200 + -9206. What is the thousands digit of q? 4 Let u be (-6)/14 + 59/7. Suppose -4*s - 356 = -u*s. What is the tens digit of s? 8 What is the units digit of -89 + 101 - (1 - -3)? 8 Let j(r) = -10*r + 209. Let w be j(0). Let l = -114 + w. What is the units digit of l? 5 Suppose 2*k - 33*k = -3937. What is the hundreds digit of k? 1 Suppose 0 = 4*t + 84 + 292. Let y = t - -284. What is the hundreds digit of y? 1 What is the tens digit of -8 + -974*(-6)/4? 5 Suppose -u = 4*c - 137, 0*c + 3*c = 3. What is the units digit of u? 3 Suppose -195 = -g + 100. What is the units digit of g? 5 Let i be 1*(-3)/(-3)*3. Suppose 4*y = -3*p, 3 = i*p + 3*y - 0. Suppose 2*k - p = 50. What is the units digit of k? 7 Let x = -4 + 7. Let y(w) = 3*w**2 - 3*w + 5. What is the tens digit of y(x)? 2 Suppose 114*m - 96*m = 10026. What is the tens digit of m? 5 Let r(c) = c**2 - 2*c + 640. Let l be r(0). Suppose 5*p - 530 = l. What is the tens digit of p? 3 Suppose q = -2*q + 3*n - 267, -2*n - 438 = 5*q. What is the units digit of (q/5)/(13/(-65))? 8 Let x = 1055 + -592. What is the units digit of x? 3 Let r(p) = 4*p**3 - 31*p**2 + 19*p - 41. What is the thousands digit of r(10)? 1 Let f(z) = 2*z - 6. Let s = 1 - -6. Let u be f(s). Suppose -7*i + u*i - 19 = 0. What is the tens digit of i? 1 Suppose -9 = 3*q - 36. What is the units digit of (3/q)/((-1)/(-48))? 6 Suppose -o - 5*a + 280 = 0, 10*o - 6*o - 1103 = -3*a. What is the tens digit of o? 7 Suppose -4*d + 2 = -3*d. Let n(v) = -7*v**2 + 0 - v + 12*v**2 + 1. What is the units digit of n(d)? 9 Let a be (20/(-6))/(-4*(-2)/(-12)). Suppose 7*y - 2*y + 25 = 0, -a*z + 2*y = -860. What is the hundreds digit of z? 1 Let r = -41 - -81. Let s = r + -23. What is the tens digit of s? 1 Suppose -n - 4 = -c - 2*n, n = 2. Suppose 3*k = d - 40, k = 5*k - c*d + 56. What is the units digit of (-4)/k + (-8)/(-3)? 3 Suppose 3*t = 15, 4*i + 113 - 1223 = 2*t. What is the hundreds digit of i? 2 Suppose -6*q + 92 = -118. Let z = 39 - q. What is the units digit of z? 4 Let n(i) = -i**3 + 9*i**2 - 7*i - 4. Let d be n(7). Suppose -3*x + 3*a = -171, x - 2*x + 5*a = -d. What is the units digit of x? 0 Let u = -302 - -647. What is the units digit of u? 5 Let x(s) = 2*s**2. Let n be x(-1). Let p(z) = 0*z**2 + 19 + n*z**2 - z - z**2. What is the tens digit of p(0)? 1 Let w = -12 - -18. Let t(l) = -l**3 + 7*l**2 - 3*l + 3. Let u be t(w). What is the units digit of (-14)/u + (-14)/(-3)? 4 Let i(l) = 2*l**3 - 12*l**2 + 12*l - 9. What is the hundreds digit of i(8)? 3 Suppose -20 = -5*p + 15. Suppose -p*a + 75 + 191 = 0. What is the tens digit of a? 3 Suppose 5*v + 12 - 27 = 0. Suppose -2*i = v*j - 100, -5*j + 2*i = -112 - 60. What is the units digit of j? 4 Let f be (2/(-8)*2)/(8/96). Let x = f - -131. What is the tens digit of x? 2 Let b(l) = -30*l + 4. Let y be (0 + 3)*(-266)/21. Let h be y/(-57)*(-6)/4. What is the units digit of b(h)? 4 Let y = -751 + 2915. What is the tens digit of y? 6 Let r(l) = 10*l - 1. Let w be r(3). Suppose -m = 4*g + 20, 5*g - m + 22 = -3*m. Let v = g + w. What is the tens digit of v? 2 Let s(y) = -33*y**3 + y**2 + 2*y - 2. Let g be s(2). Let l = -135 - g. What is the units digit of l? 3 Let n = -12 + 16. Suppose 5*b = -5*o + 520, 2*o = -0*b - n*b + 218. Suppose -41 = -5*y + o. What is the tens digit of y? 2 Let n(c) = 2*c**3 + 42*c**2 - 42*c + 20. What is the tens digit of n(-20)? 6 Suppose -4*j = -33 + 13. Let c be 16/40 - (-123)/j. Suppose -3*g - c = -4*l - 0*g, -4*l - 4*g = -4. What is the units digit of l? 4 What is the hundreds digit of (1 - (-15)/(-9))*(-3735)/10? 2 Let w = -5764 - -9862. What is the thousands digit of w? 4 Suppose -525 - 947 = -y. What is the units digit of y? 2 Let v = -3534 + 5492. What is the hundreds digit of v? 9 Suppose 0 = -k - 61*k + 71610. What is the hundreds digit of k? 1 Let t(g) = -3*g**2 + g - 5. Let o(h) = -5*h**2 + 2*h - 8. Let b(j) = -5*o(j) + 8*t(j). Let k be b(-6). What is the tens digit of -1*(k - -4)/(-4)? 1 What is the units digit of 9375/(-175)*(-7 + 0)? 5 Suppose 43*a - 26271 = 19309. What is the units digit of a? 0 Let j(b) = -b**2 + 5*b - 14. Let o be j(4). What is the tens digit of 22/(-55) - 2114/o? 1 Let q be 2/(-1) + 2 - -5. Suppose -i + 5 = -2*m, 0 = -q*m - 0*m + 25. What is the tens digit of i? 1 Suppose -5 = 2*c - c. Let i(u) = 4*u**2 - 11*u - 3. Let w(k) = 7*k**2 - 21*k - 6. Let v(r) = c*i(r) + 3*w(r). What is the units digit of v(10)? 7 Let q be (-17 + 19)*(-3)/(-2). Suppose -l - 3*l - 176 = -q*c, 5*l = 2*c - 129. What is the tens digit of c? 5 Suppose 4*x - 2*t - 2834 = 0, 0 = -5*t + 23 - 8. What is the tens digit of x? 1 Let m = 118 - 43. Let o = m + 12. What is the units digit of o? 7 Suppose -3*k + 175 = 2*k. Suppose j = -4*j + k. Suppose -d + 2*d = j. What is the units digit of d? 7 Let i(q) = 2*q**2 + 49*q - 18. What is the units digit of i(10)? 2 What is the units digit of (-1*17)/((-1)/63)? 1 Suppose -2*k + 18 = k. Suppose -9*x + k = -6*x. Suppose 3*n - 73 = -2*y - 17, 3*y = x*n + 58. What is the units digit of y? 2 Let p = 845 - -198. What is the hundreds digit of p? 0 Let z = 3 - -1. Suppose -z = a - 6. Suppose a*b - 1 = 25. What is the tens digit of b? 1 Let x(o) = -o**3 + 4*o**2 - 3*o - 1. Let g = 10 + -7. Let m be x(g). What is the units digit of m/(-1)*18/3? 6 Let w = -32 - 2. What is the hundreds digit of (-5436)/w + 4/102*3? 1 What is the tens digit of ((-7)/(-5))/(6/1470)? 4 Let v(f) = 3*f**3 - 5*f**2 - 10*f + 10. What is the units digit of v(6)? 8 Suppose 2*r = -r - 27. Let d(h) be the first derivative of -h**2/2 - 26. What is the units digit of d(r)? 9 What is the thousands digit of 1668 - (7 + 2 + 0)? 1 Suppose -s = -2*m - 17, -5*m + 42 - 8 = 2*s. Let q = -14 + s. Suppose q*r - 30 = 90. What is the tens digit of r? 4 Let s = -160 + 586. What is the hundreds digit of s? 4 Suppose 7*j = -95 + 109. Let o = -37 + 314. Suppose -5*w = -h - o, j*h + 114 = 5*w - 3*w. What is the units digit of w? 5 Suppose 4*z + 8 = 0, 0 = -5*c - 4*z - z + 120. Let t = 14 - c. Let p = -3 - t. What is the units digit of p? 9 Let t(x) = 3*x**3 - 2*x**2 - 3. Let j be t(2). Let m = 25 - j. What is the tens digit of m? 1 Suppose -5*t = 5*g + 115, 0 = -5*t - g + 6*g - 75. Let h = t - -57. What is the tens digit of h? 3 Let y(q) = -q**3 - 5*q**2 - 2*q + 6. Let v be y(-5). Suppose -v*s - 3 = -17*s. What is the tens digit of 37/s - 5/15? 1 Suppose 7*u - 6*u = 196. Suppose -u = -7*k + 5*k. Suppose -k = -2*c + 10. What is the units digit of c? 4 Let l(r) = r**3 + 4*r**2 + 3*r + 3. Let a be l(-2). Suppose 2*h = -5*k + 233, a*k = 2*h + 139 + 78. What is the tens digit of k? 4 Suppose -3*b - 4*l = -12, 4*b + 8*l - 3*l - 15 = 0. Let k(x) = -x**3 + x**2 - 3*x + 121. What
{ "pile_set_name": "DM Mathematics" }
ommon factor of l and 8. 8 Let x = 14 + 4. Let b be (-2)/(-3) + 5328/27. What is the greatest common divisor of b and x? 18 Let n = 120 + -75. Suppose 0 = 3*b - 2*b - 5. Calculate the highest common factor of n and b. 5 Suppose -2*g + 5*r = 3*g + 10, -4*g - 2*r = -4. Suppose 0*p + 4*p - 1496 = g. Suppose 4*b - p = 2*b. What is the highest common factor of b and 17? 17 Let p be (-12 + -2)*(-3)/6. What is the greatest common factor of 28 and p? 7 Let a(z) = -5*z - 3. Let k be a(-1). Calculate the highest common factor of 10 and k. 2 Let k be (2 + 0)/((-6)/(-273)). What is the highest common factor of k and 13? 13 Let p = 96 + -54. What is the greatest common divisor of 6 and p? 6 Let a = -50 + -36. Let h be (-5)/(-20) - a/8. Calculate the greatest common divisor of h and 44. 11 Let x = -164 + -157. Let y be 0 - (2 - 430/(-2)). Let i = y - x. What is the greatest common divisor of 13 and i? 13 Let u be 32/20 - 4/(-10). Suppose -u*n + n = 13. Let m = n + 25. What is the highest common factor of 8 and m? 4 Suppose b = 2*z + 11, -6*z = -4*b - z + 29. Suppose 0 = n - 5 - b. Let l be (45/2)/(3/n). What is the highest common divisor of l and 15? 15 Suppose 5*l - 2 = 8. Suppose 2*s - l*h = -2*s - 442, 0 = -5*s - 4*h - 585. Let o = s + 245. Calculate the highest common divisor of 12 and o. 12 Suppose 24 = j - s + 5, 4*s + 42 = 2*j. Calculate the highest common factor of 136 and j. 17 Let m be 4/((-92)/(-28) + -3). What is the highest common factor of m and 21? 7 Let a = -3 - -6. Let j(k) = 2*k**3 - 1. Let o be j(1). Let i(t) = 5*t**3 + t**2 + t - 1. Let b be i(o). What is the highest common factor of b and a? 3 Let j(h) = 8*h**3 + h**2 - 4*h - 4. Let g(n) = n + 1. Let p(u) = -4*g(u) - j(u). Let t be p(1). Let r = 19 + t. What is the highest common factor of r and 30? 10 Let f be 2/(-9) + (-2574)/81. Let h be 0 + (-3)/(6/f). Calculate the greatest common factor of 64 and h. 16 Suppose -c + g = -2*c + 16, 4*c - 3*g = 29. Let v be 5694/65 + (1 - (-3)/(-5)). What is the highest common factor of v and c? 11 Suppose -58 = -2*m + 14. Suppose 0*w = 2*q - 5*w - 5, 5*q = 5*w + 5. Suppose 4*o = n + 4 + 12, q = -n. What is the highest common factor of m and o? 4 Let c = 91 + -81. What is the greatest common divisor of 25 and c? 5 Suppose 2*u - u - 15 = 0. Suppose -f = -17 - 13. Calculate the greatest common factor of u and f. 15 Let h = -2 - 7. Let p = -3 - h. What is the highest common factor of p and 4? 2 Suppose -l = -4*f + l + 154, -61 = -f + 5*l. What is the highest common factor of 9 and f? 9 Let o = -19 + 27. Suppose d = -3 + o. Let t = -19 + 44. Calculate the greatest common factor of d and t. 5 Suppose 0 = 5*w + 3*t - 12, 4*w - 2*t = t + 15. Suppose 0 = w*x + 2*x. Suppose x*o = 2*o - 112. Calculate the greatest common divisor of 14 and o. 14 Let a be 2*((-10)/4)/1. Let l be (-6)/a + (-2)/10. Let h be 24/3 + (l - 2). Calculate the highest common factor of h and 63. 7 Suppose -3*f + 6 = -0*f. Let c be f/5 + (-140)/(-25). Suppose 0 = -5*m - t + 34, -3*m - t + 22 = -0*t. What is the greatest common factor of m and c? 6 Suppose -i = -19 - 56. Let r = i - -45. Suppose -2*v = v - 36. What is the highest common divisor of v and r? 12 Suppose 2*v = 2 + 6. Suppose -4*c + 20 = -4*l, c = 5*c + 4*l + 20. Suppose -3*s + 5*u + 108 = 0, -u + 0*u = c. What is the highest common factor of s and v? 4 Let p be 31*(1 - -1) + (-180)/(-45). What is the highest common divisor of p and 66? 66 Let m(k) = -9*k**3 + 2*k**2 - k - 2. Let i be m(-2). What is the greatest common divisor of 32 and i? 16 Suppose 2*v - 4*v - 8 = 0. Let t be 8 + (-1 - v) + -1. Calculate the highest common factor of t and 20. 10 Let u be (-38)/34 - -1 - 8616/(-408). Calculate the greatest common divisor of u and 3. 3 Let h = -7 - -11. Suppose 2*r + 2*j = -h, 4*j = r - 2*r - 5. Let a = r + 6. What is the highest common divisor of 10 and a? 5 Suppose -5*b + 7*x = 2*x - 30, -5*b + 50 = -x. Let w = 42 + -19. Let c = w - b. Calculate the highest common divisor of c and 12. 12 Let j = 28 - -8. What is the highest common factor of j and 24? 12 Suppose -40 = -3*q + 32. Calculate the greatest common divisor of 24 and q. 24 Let y = 15 + -11. Let a be 202/10 + y/(-20). What is the greatest common factor of 200 and a? 20 Let t = 8 - 4. Suppose h + 65 = 5*f, -2*f + 4*h + 48 = t. Suppose 3*d - 60 - f = 0. What is the highest common divisor of d and 8? 8 Let v(c) = 2*c**2 + 7*c + 6. Let q be v(-4). Calculate the highest common divisor of q and 70. 10 Let q(j) = -j + 1. Let z be q(-3). Suppose -5*s = f + 27, -z*s - 2*f - 6 = -2*s. Let x be (0 + s/2)*-1. What is the greatest common factor of 12 and x? 3 Let g(j) = j**3 - 10*j**2 + 11*j - 8. Let c be g(9). Calculate the greatest common divisor of 5 and c. 5 Let s = 98 + -41. Let o = s - -55. Calculate the highest common divisor of 14 and o. 14 Let u(o) = -o + 4. Suppose -5*a = -2*f + 3*f + 37, 2*a + 6 = 4*f. Let d = -14 - a. Let h be u(d). Calculate the highest common divisor of 1 and h. 1 Let h(m) = -m**2 + 8*m - 4. Let o = 15 + -8. Let a be h(o). Suppose -5*x + a + 32 = 0. What is the highest common divisor of 56 and x? 7 Let p(a) = a**2 - 3*a + 2. Let b be p(6). What is the highest common factor of 4 and b? 4 Suppose 2*j = -2*q + 18, 3*q = 26 - 11. Suppose -2*k = -15 + 5. Let u = k + -1. Calculate the highest common divisor of u and j. 4 Suppose -2*v = -0*v - 20. Let r(n) = n**2 + 3*n - 3. Let p be r(-3). Let l be (10/p)/(2/(-6)). Calculate the greatest common factor of l and v. 10 Let b be 56/(-6)*3/(-2). Let o be b/(-2)*(0 + -1). Suppose 0*t + t = m + 45, 5*t = -3*m + 257. What is the greatest common factor of o and t? 7 Let o = 15 + -18. Let b be o*1 + 17 + 4. What is the highest common factor of b and 9? 9 Let n = 31 - 27. Calculate the highest common divisor of n and 8. 4 Suppose 5*d = -3*b + 59, -3*d + 4*b - b = -21. Calculate the greatest common factor of d and 110. 10 Let r(i) = -i**3 - 7*i**2 - 8*i + 14. Let h be r(-5). Calculate the greatest common factor of h and 18. 2 Let h(f) = -f**2 - 2*f - 1. Let v be h(-1). Suppose -5*m + 45 + 305 = v. Calculate the highest common divisor of m and 28. 14 Let k(a) = -a**2 + 10*a. Let u be k(10). Suppose 0 = 3*c - u*c - 432. What is the greatest common factor of 18 and c? 18 Suppose 4*h - 4*a - 33 = -9, 2*h - 3*a = 10. Let k = h + -3. Calculate the greatest common divisor of k and 45. 5 Suppose -2*t + 65 = -5*x, -4*x + 175 = 4*t + x. Calculate the highest common divisor of 5 and t. 5 Suppose -5*l = -3*y + 10, -2*y + 4*y - 2 = l. Let h(z) = -64*z - 3. Let p be h(l). Let o be (-2)/(-3) + p/15. Calculate the greatest common factor of o and 36. 9 Let n(h) = h - 1. Let z(k) = 3*k**2 - 2. Let y(b) = -2*n(b) + z(b). Let p be y(3). Calculate the greatest common divisor of 231 and p. 21 Let k(c) = 5*c + 12. Let t be k(-2). What is the greatest common factor of t and 28? 2 Let y(g) = 2*g**2 + 2*g. Let j be y(4). Let z = -7 + 11. Suppose 0 = z*f - 10 - 22. Calculate the greatest common divisor of f and j. 8 Suppose -1 = -p + 3. Let w = -26 - -36. What is the highest common divisor of p and w? 2 Let k(w) = -3*w + 4*w + 5*w + w**2 + 5. Let h be k(-5). Suppose 5*a + 4*q = 53, 3*a = -h*q + 3*q + 48. What is the greatest common divisor of a and 39? 13 Suppose 2*y - 5 = m, 0*m + 10 = -m + 3*y. Suppose v + 1 = 11. What is the greatest common divisor of m and v? 5 Let f(s) = 2*s**2 - 6*s - 7. Let j be f(7). Let c(q) = -q**2 + 7*q - 5. Let z be c(4). What is the greatest common divisor of z and j? 7 Let x(g) = -g**2 - 5*g - 1. Let y be x(-5). Let d(c) = 5*c**2 + c + 1. Let h be d(y). Let r = -64 + 104. What is the greatest common divisor of r and h? 5 Suppose -4*b = 2*u - 10, -4*u = b - 9 - 39. Calculate the greatest common factor of u and 117. 13 Let x = 23 - 14. Let b = 19 - x. Suppose -3*f + 8*f + 4*j - 566 = 0, 4*j - 16 = 0. Calculate the greatest common divisor of f and b. 10 Let k(j) = j**3 - 6*j**2 + 3. Let c be k(6). Let p be (-5)/((-10)/12) - c. Suppose -p*d = -0*d - 180. What is the greatest common factor of d and 40? 20 Suppose y = -7*y + 104. What is the greatest common factor of 26 and y? 13 Let q = 74 + -47. What is the greatest common divisor of 9 and q? 9 Suppose -8*b + 6 = -9*b. Let z be (-3)/b*4 - -1. What is the highest com
{ "pile_set_name": "DM Mathematics" }
4784*c? -260688*c**2 + 18 Find the second derivative of 470966*v**2 - 677366*v - 3 wrt v. 941932 Find the third derivative of j**2*p**3*z**2 + 4*j**2*p*z**2 + 8*j**2 + 195*j*p**4*z**2 - 2879*j*p**2*z**2 wrt p. 6*j**2*z**2 + 4680*j*p*z**2 What is the second derivative of 15688*b**3*d**2 - 15*b**3*d - 17*b**3 + 2*b*d - 11*d wrt d? 31376*b**3 What is the derivative of 523*b*x - 67831*b - 3*x wrt x? 523*b - 3 Differentiate -1822471*i**3 - 151787. -5467413*i**2 Find the second derivative of -j*l**2*v**2 + 7*j*l**2*v + 622515*j*l*v**2 - 4*j*l*v + 22*j*l + l**2 - l*v - 4*v wrt v. -2*j*l**2 + 1245030*j*l Differentiate -125*i*p**3 - 124*i*p - 93*i + 10*p + 1928 wrt p. -375*i*p**2 - 124*i + 10 What is the first derivative of -20*m*o**4 - 636*m*o**3 + 36155*m wrt o? -80*m*o**3 - 1908*m*o**2 Find the second derivative of -135*a**5 - 5*a**4 + 3*a**3 + 2*a - 83414. -2700*a**3 - 60*a**2 + 18*a Find the second derivative of i**5 - 3*i**4 - 9931*i**2 - 60850*i. 20*i**3 - 36*i**2 - 19862 What is the second derivative of 319393*y**2 - 199237*y? 638786 Find the first derivative of 518486*t**3*v + 373814*t**3 wrt v. 518486*t**3 Differentiate -2*i*o**3 + 352633*i*o**2 - 4*o**3 + 5*o + 3480 with respect to i. -2*o**3 + 352633*o**2 Find the third derivative of -122336*g**3*w**3 - 3*g**3 - 2385*w**2 + 5 wrt w. -734016*g**3 What is the third derivative of -1964317*d**5 + 1043*d**2 + 8*d + 11 wrt d? -117859020*d**2 Find the third derivative of -568*s**4*y**2 + 47*s**3*y**2 + 3*s**2*y**2 + s*y + 2*s - 11*y**2 + 56 wrt s. -13632*s*y**2 + 282*y**2 What is the third derivative of 2*m**5 - 2*m**4 - 17418*m**3 - 362*m**2 - 29*m + 2 wrt m? 120*m**2 - 48*m - 104508 Differentiate 188*i**3*r**2 + 2*i**2*r**2 - 14248*r**2 with respect to i. 564*i**2*r**2 + 4*i*r**2 Find the third derivative of 2293*i**6 + 24377*i**2. 275160*i**3 What is the second derivative of 5*c**3 + 98784*c**2 + 1822053*c? 30*c + 197568 What is the third derivative of -2040804*g**4 - 1643369*g**2? -48979296*g Find the second derivative of -234826*c**2*k**2 - 173*c*k**2 + 6*c*k - 21*c wrt c. -469652*k**2 What is the second derivative of 2598*d**2*p**2 - 5340*d**2 - 2*d*p + 10*p**2 + 3*p wrt p? 5196*d**2 + 20 Find the third derivative of 2*t**6 + 210*t**5 + 23*t**4 - 15*t**2 - 4. 240*t**3 + 12600*t**2 + 552*t Find the third derivative of -445064*g**3 - 2*g**2 + 101857*g wrt g. -2670384 Find the first derivative of 40781*c*v**3 + 4462*c - 3*v**4 + 2 wrt v. 122343*c*v**2 - 12*v**3 Find the third derivative of 33*t**3*u**3 + 7*t**3*u**2 + 6*t**3*u - 810*t**2*u - 21*u**3 wrt t. 198*u**3 + 42*u**2 + 36*u What is the third derivative of 8174*u**4*z**2 + u**3*v*z**2 + 63*u**2*v*z**2 - 2*u**2*v - 3*u**2*z + 7*u*v - 3*z wrt u? 196176*u*z**2 + 6*v*z**2 What is the second derivative of -60674*m**4 - m**2*w - 2*m*w - 22413*w - 1 wrt m? -728088*m**2 - 2*w Differentiate -41745*t**3 + 56935 with respect to t. -125235*t**2 Differentiate g**2 - 148411*g*k**2 + 75*k**2 + 124*k - 22 wrt g. 2*g - 148411*k**2 What is the third derivative of 2*p**3*q*u**3 + 4088738*p**3*q + 20*p**2*q*u**2 + 38*p**2*u**2 - 44*p*u**3 + 1 wrt p? 12*q*u**3 + 24532428*q Find the third derivative of 32051*j**5 - 69022*j**2. 1923060*j**2 What is the second derivative of 82*c**2*i**2*k + 59*c**2*i*k + 22*c**2*k + 2069*c*i**4*k - 14*c*i*k + 4*c*k wrt i? 164*c**2*k + 24828*c*i**2*k Differentiate 418086*g - 3024640 wrt g. 418086 Find the third derivative of -38*m**5 - 483*m**4 - 5*m**3 + 291*m**2 - 70*m - 2 wrt m. -2280*m**2 - 11592*m - 30 Differentiate 3*b**3*g - 783*b**3 - 2*b**2 + 362*b*g**4 + 23*b - g**2 + 3*g with respect to g. 3*b**3 + 1448*b*g**3 - 2*g + 3 Find the second derivative of 112330*j*x**2 - 119848*j*x wrt x. 224660*j What is the first derivative of 4004*l**4 - 375*l**2 + 808913 wrt l? 16016*l**3 - 750*l What is the first derivative of -603*z**3 - 217*z + 191096 wrt z? -1809*z**2 - 217 What is the second derivative of 91*a**2*h*j**2*m - 5430*a**2*j**2 + 3*a*h*j*m + 1112*a*h - a*j**2 - 4*h*j*m wrt a? 182*h*j**2*m - 10860*j**2 Find the first derivative of -19596*g**2 - 71515. -39192*g Find the third derivative of 776*c**2*f**3 - 2*c**2 - 7*c*f**2 - 47*c - 672*f**3 wrt f. 4656*c**2 - 4032 What is the third derivative of -2*z**4 - 66510*z**3 + 75883*z**2? -48*z - 399060 What is the second derivative of 4*h*k**4 - 986*h*k**2 + 21*h*k - 132*h - 9*k**5 - 9*k + 1 wrt k? 48*h*k**2 - 1972*h - 180*k**3 What is the first derivative of 27903*s*u + 3*u - 9856 wrt s? 27903*u What is the derivative of -36*c**4*d - 541*c**2*d + c + 167246*d wrt c? -144*c**3*d - 1082*c*d + 1 Find the second derivative of -88710*n**5 - 12504*n wrt n. -1774200*n**3 What is the second derivative of 2*d**3 + 11690*d**2 - 14080*d? 12*d + 23380 Find the third derivative of 10973*b**2*f**3*x**3 + 9*b**2*f**3*x - b**2*f**2*x**3 - 10*b**2*f - 39*b*f**2*x**2 - 12*b*f*x**2 wrt f. 65838*b**2*x**3 + 54*b**2*x What is the second derivative of -4246013*c**3*v**2 - 2*c**3 + 17*c**2 + 2*c*v - 19*v + 62 wrt v? -8492026*c**3 Differentiate 1607495*z + 2149813 wrt z. 1607495 What is the first derivative of 73*f**4 + 26*f**3 - 2*f**2 + 13*f + 2033650 wrt f? 292*f**3 + 78*f**2 - 4*f + 13 What is the second derivative of -177358*u**2 - 174572*u wrt u? -354716 What is the derivative of -2*d**2*q**3 + 6*d**2*q**2 - 22*d - 41445*q**3 wrt d? -4*d*q**3 + 12*d*q**2 - 22 What is the third derivative of -f**2*q**3 + 4*f**2*q**2 - 17278*f*q**3 + 2*f*q**2 - 6*f*q + f wrt q? -6*f**2 - 103668*f What is the second derivative of 10*i**2*p*v + 11*i**2*p - 5985*i**2*v**3 - i*p*v + 18*p*v**3 + 1414*v**3 - 5*v wrt i? 20*p*v + 22*p - 11970*v**3 Differentiate -d**3 + 82*d**2 + 160*d - 35729. -3*d**2 + 164*d + 160 What is the third derivative of 62985*l**6 - 5*l**2 - l - 2297? 7558200*l**3 What is the second derivative of 481*b*l**2 + 6688*b*l - 56*l**3 + 4*l**2 - 19*l wrt l? 962*b - 336*l + 8 What is the second derivative of 351*q**5 - 4*q**4 - q**2 - 2*q + 3145? 7020*q**3 - 48*q**2 - 2 Find the second derivative of -7*i**3*o*t**2 - 3*i**3*o*t - 4*i**3 + 493*i**2*t**2 + 30*i**2*t + 5*i*o*t**2 - 2*i*o + 13*i + t wrt t. -14*i**3*o + 986*i**2 + 10*i*o Find the third derivative of c**3*i**2*y - 2*c**3*i**2 + 2*c**3*i - 15*c**3 + 2*c**2*i*y - 4*c**2 + c*i**2*y + 3*c*y - 37*c - 4*i**2 wrt c. 6*i**2*y - 12*i**2 + 12*i - 90 What is the second derivative of 17*y**5 + 9*y**4 - y**3 - 34334*y? 340*y**3 + 108*y**2 - 6*y Differentiate h**2*v**2 + 10200*h**2 - 21921*v**2 with respect to v. 2*h**2*v - 43842*v Find the third derivative of 7392*g**4 - 3*g**3 - 4446*g**2 + 3*g - 8 wrt g. 177408*g - 18 Differentiate 8339*i**3*j*p**2 - 63*i**3*j + 113*j - 18907*p**2 wrt i. 25017*i**2*j*p**2 - 189*i**2*j What is the third derivative of -2854*g**6 - 2*g**4 + 2*g**3 + 4822*g**2 wrt g? -342480*g**3 - 48*g + 12 What is the derivative of y**2 - 100330*y - 249903 wrt y? 2*y - 100330 Differentiate 4*b*f**3 + 36*b*g - 2*b + 3365*f**3*g - 4*f*g + 4*g - 339 with respect to f. 12*b*f**2 + 10095*f**2*g - 4*g Find the third derivative of 44*o**2*q**3 + 10324*o**2 - 1243*o*q**3 - 3*q**3 + 77*q**2 wrt q. 264*o**2 - 7458*o - 18 What is the derivative of 130132*s - 275264 wrt s? 130132 What is the third derivative of 763*a**3*b**3 + 6*a**3*b**2 - 2*a**3 - 19*a**2*b**3 - 1641*a + b**3 + b**2 wrt b? 4578*a**3 - 114*a**2 + 6 What is the first derivative of -117708*z**2 + 15375? -235416*z Find the second derivative of 6*g**2*o**3 + g**2*o**2 - 794*g**2*o - g**2 + 119438*g*o**3 - g*o wrt g. 12*o**3 + 2*o**2 - 1588*o - 2 What is the second derivative of -5713703*q**2*z**3 - 169*q*z + 6*q + 46*z**3 - 2*z**2 wrt q? -11427406*z**3 What is the third derivative of 10*j**5*p - 2*j**3*p**3 + 100*j**3*p - 10*j**2*p**3 + 285*j**2*p**2 wrt j? 600*j**2*p - 12*p**3 + 600*p What is the third derivative of -2*o**4*y - 3*o**4 - 380*o**3 - 7*o**2 - 171*o*y + 11*y wrt o? -48*o*y - 72*o - 2280 Find the first derivative of 71*s*y**2 + 655*s - 1689971*y**2 wrt s. 71*y**2 + 655 What is the derivative of a**3 + 200*a**2 - 220*a + 12448 wrt a? 3*a**2 + 400*a - 220 Differentiate 380755*p**3 + 252157. 1142265*p**2 Find the third derivative of 21204*w**4 + 109550*w**2 wrt w. 508896*w Find the second derivative of 94*a**3 + 5712*a**2 + 2*a + 218306 wrt a. 564*a + 11424 What is the secon
{ "pile_set_name": "DM Mathematics" }
/(-2). Solve 0 = -5*v - 5*u + 5, -h*v - 4*u = -u - 11 for v. 4 Suppose -3*a + 36 = a. Suppose -h - a = 2*h, 5*h = 4*i - 87. Solve -2*v - 2*c - i = 0, -2*c + 0*c = -4*v - 12 for v. -5 Suppose 0 = -3*w + 3 + 3. Let i be (w + (-5)/2)*-10. Solve -3*q = -i*k + 25, 4*q - q = -4*k + 20 for q. 0 Let a be (3 + -1)*(-10)/(-20). Let l be -2*(1 + -4) + (-1)/1. Solve -l*s + 20 = 0, 4*s - a = 5*u - 0*s for u. 3 Let z(y) = y - 4. Let g be z(8). Let f(c) = 4*c - c**2 + 2 - c**2 + c**2. Let u be f(4). Solve 2*w - 3*w + u = v, -g*w - 17 = -v for v. 5 Let t be 15 + -13 + (-1 - -2). Solve 0 = 4*a + g - 12, 9 = t*a - g + 2*g for a. 3 Let c(r) = r + 4 - 4 + r**2. Let m be c(-2). Let t = -8 - -10. Solve 5*n = t*z - 8, -4*z + 0*z + m*n = 0 for z. -1 Suppose -6*s + 2*s + 20 = 0. Suppose 0 = 4*q - 16, s*b + q - 14 = -0*b. Solve -3*p - u + b = -6, -16 = -4*p - 4*u for p. 2 Suppose -3*n - 20 = -8*n. Suppose 12 - 40 = -n*l. Solve 0 = m + 4*a - 6 - l, 2*m - 5*a + 26 = 0 for m. -3 Let x be 10/6*(13 - 10). Suppose 0 = n - t - 15, -15 = -4*n + n - 3*t. Solve x*c = v - n, 2*v - 5*c = -0*v + 10 for v. 0 Let f(t) = t**2 - 3*t - 4. Let a be f(4). Suppose a*x - x = 0. Solve -2*g + x = p - 7, g - 21 = -4*p for g. 1 Let b = 10 - 6. Suppose u + 3*i + 6 = -0*i, -2 = 2*u - b*i. Let d = u + 7. Solve 11 = 5*a - 3*c, d*c + 3 = 5*a - 5 for a. 4 Suppose 0*k + 14 = -k. Let l = -10 - k. Solve -w + 2*y = l*w - 9, -3*w - 3*y = -18 for w. 3 Let i(s) = s + 1. Let b = -6 + 9. Let f be i(b). Let v be (-1 + (f - 1))*8. Solve -2*h - 4*k + v = 2*h, -3*h = -5*k - 4 for h. 3 Suppose -o = o - 8. Let x(r) = 3*r**2 + r. Let c be x(-1). Let i = o - c. Solve 0 = -z - 3*q - 11, -4*q + 12 - 40 = -i*z for z. 4 Let k(c) = -c**2 - 13*c - 20. Let q be k(-11). Solve -8 = -q*z, 5*z - 2 = -v + 13 for v. -5 Let s = -9 + 16. Suppose 0 = 4*z - s*z. Solve -g = -z*b - 2*b - 2, 2*b - 10 = -2*g for b. 1 Let l be (12/(-30))/((-1)/5). Suppose 0 = -c - 3*r + 28, -l*c + 4*r + 16 = -0*r. Solve 0 = 4*z - 4*g + c, -3*g = 2*z - 4*z - 11 for z. -1 Let v be ((-4)/(-6))/((-2)/(-15)). Suppose 0 = -4*o + o + 30. Let t be (-2)/v - (-54)/o. Solve t*r = 2*n + 18 - 0, -r - 3*n - 10 = 0 for r. 2 Suppose 4*m - 60 = -4*o, 8*o - 3*o - 69 = -3*m. Suppose 2*a + a = o. Solve -2*l - 14 = -3*q, a*q = -3*l + 5*l + 18 for q. 4 Let z = -7 + 9. Suppose 5*q = 8 + z. Solve 2*s - q*d + d + 8 = 0, -12 = 3*s - d for s. -4 Suppose 0 = -3*b - 0 + 9. Suppose s = b*s - 44. Solve -4*x + 3*x + z + 8 = 0, -s = -5*x - z for x. 5 Let x be 1*(4 + 0 - 4). Solve x = -4*s + s + 4*h + 35, 5*s + 3*h = 10 for s. 5 Let m = 1 + 4. Solve 5*w + 8*y - 28 = 5*y, -m*y = -w for w. 5 Let l(m) = m**2 - m + 3. Let i be l(5). Solve b - 11 = 2*c, 0 = -3*b + c + 3*c + i for b. 1 Let c be (2 - (-39)/9)*3. Solve 3*k + 5*s = 7, -s - c = -4*k + 2*s for k. 4 Let t = -60 - -74. Solve 0*y + y - t = 2*s, -22 = 2*s - 3*y for s. -5 Suppose w + 4*l + 15 = 0, -2*w - 5*l + 4 - 19 = 0. Solve 0 = -w*z - 2*n - 20, 8 = -2*n - 2 for z. -2 Let w be (-4 - 1)*36/(-60). Solve 5*s = w*t - 12, 2*t + 0*s - 8 = -2*s for t. 4 Let d = 28 - 24. Solve -3 = 3*t, -2*r - d*t = 7 - 3 for r. 0 Suppose 4*h - 3*h = 3. Solve 5*c + 5*s - 15 = 0, h*s = 5*c - 7 - 0 for c. 2 Let a(y) = y**2 + 5*y. Let h be (4/(-5))/(2/10). Let c be a(h). Let o = c - -9. Solve 5*n + x + 3 = 0, n - 1 - 14 = o*x for n. 0 Suppose 7 - 3 = 2*k. Let l = 6 + -3. Let i = 5 - l. Solve 5 = k*a - o, 3*a + i*a - 3*o - 15 = 0 for a. 0 Suppose -2*v = -3*v. Let r = 6 + v. Solve 5*k = 4*u + 7, -2*k - 5 = 3*u + r for u. -3 Let z be -8*(10/(-4) - -2). Let y(u) = 3*u - 9. Let f be y(6). Let s = f + -5. Solve -s*o - 15 = o - 4*k, -z*o - 3*k = 12 for o. -3 Let l(b) = -5*b - 8. Let g be l(-2). Solve -2*m - 4*n = 2*m - 16, -3*m - g*n = -12 for m. 4 Let l(f) = -f**3 - 7*f**2 - 8*f - 9. Let o be l(-6). Suppose -v + 15 = -o*s, 2*v = -3*v + 4*s + 31. Solve -h - v*h - 5 = 3*c, h = -5*c - 14 for c. -3 Let k(n) = -n + 7. Let u be k(6). Suppose 5*a + 13 = -2*o, 3*a - 20 = 5*o - 3. Let i be ((-10)/o + -1)*2. Solve g = i*p - u - 8, -3*g = 5*p - 15 for p. 3 Let o(u) = -6*u**2 + 1. Let c be o(-1). Let n be (-32)/c - 10/25. Suppose -n*f = -f - 20. Solve -z - f*h - 12 = -h, 5*z + 4*h = -16 for z. 0 Let j be 4/(-12) + 148/12. Let g be ((-6)/(-4))/(9/j). Let b(p) = -3*p - 4. Let l be b(-3). Solve -g*u + 14 = 2*k - l*k, 0 = -u + 4*k + 17 for u. 1 Let r(n) = -n + 8. Let t be r(0). Solve -w - a = t - 2, -a - 8 = 3*w for w. -1 Suppose -22*n + 2 = -21*n. Solve 4*r = -2*p - 10, -p - n*p = -2*r + 7 for r. -1 Let b be 0*(-3)/6*(2 - 1). Solve -2*z = b, -5*g + z - 13 = -38 for g. 5 Let i = -25 + 41. Let u = -15 + 10. Let v = u - -9. Solve 4*f = -i, 4*s - v*f - 4 = f for s. -4 Let j(v) = -v**2 - 4*v + 2. Let i be -4*2/(-4) + -6. Let y be j(i). Suppose -q + 2 = x, 2*x - 30 = -x + 5*q. Solve -x*k - u - y*u - 7 = 0, -2*k + 5*u = 9 for k. -2 Suppose 4*q = 3*a + 86, -4*q + 2*a - 16 = -5*q. Solve 0*m + g + 2 = 3*m, -4*g - q = 0 for m. -1 Let p(l) be the second derivative of -l**4/12 - 5*l**3/3 - 7*l**2/2 - l. Let k be p(-7). Solve 10 = -5*w + 5*v, -3*w - k = -8*v + 3*v for w. 2 Suppose g = -5*y - 95, -y = -2*g - g + 19. Suppose 3*h - 5*j = 76, -2*h + 3*j = -h - 20. Let s = y + h. Solve 0*p + 2*p = -2*k - 10, -s = 5*p + k for p. -2 Let n = 15 - 13. Let o be n + (5 + -4)*3. Solve -c - 5 - 11 = -o*f, -28 = -5*f - 2*c for f. 4 Let x(l) = l**2 - l + 1. Let t(p) = 19*p**3 - 3*p**2 + 5*p - 4. Let i(n) = -t(n) - 4*x(n). Let f be i(-1). Solve -7 = 2*c + 3*y - f, 2*c = 5*y - 20 for c. 0 Suppose 3 = a, -3*h = -0*h - 5*a - 27. Solve 3*x = 3*u + 18, -5*x + 2*x - u + h = 0 for x. 5 Suppose -5*a + 22 = -5*h - 8, 3*a = -h + 6. Solve 2*t + v = t, -t + 6 = a*v for t. -3 Suppose j = 3*j + 2. Let r = 3 - j. Solve 31 = 3*k + r*a, 3*k + a - 12 = 7 for k. 5 Suppose l - 3*d - 5 = -3*l, l = -d + 10. Suppose -l*r = 4*n - 24, 23 = 5*n - 4*r - 7. Solve -3*u = 12, -n*x + x = u + 4 for x. 0 Let p be 64/24*(-6)/(-4). Solve -2*z + 6 = p*f, 2*f - 9 + 1 = -2*z for f. -1 Let u = 84 + -58. Let i be u/6 - (-2)/(-6). Let w be -1*i/(-3)*3. Solve -2*t + 4*l + 28 - 8 = 0, -t - w*l - 20 = 0 for t. 0 Let s be (-3)/(-2)*(-4)/6 - -1. Solve s*q - 3*p = 2*q + 4, 0 = -5*q - 4*p - 17 for q. -5 Let b be -2 + 22*(-3)/(-6). Suppose -1 = 4*w - 9. Suppose -g + b = w*g. Solve -3*a = -7*q + g*q - 11, 3*a - 14 = q for a. 5 Suppose 0 = p - 5*p - 28. Let w(r) = r**3 + 8*r**2 + 8*r + 10. Let u be w(p). Solve 2*v + 3 = -u, 3*o - 27 = 5*v for o. 4 Let l = 51 - 35. Let i = 6 - 3. Solve 5*v + i*q - 17 = 0, q - l = -5*v - 3*q for v. 4 Suppose -5*x + 1 = -q - 2, -4*x = -5*q + 6. Solve -q*w + 9 = v + 2*w, -3*v - 7 = -5*w for v. 1 Let m(v) = v**3 - 2*v**2 - 3*v + 3. Let d be m(3). Suppose -5*c - 6 + 26 = 0. Let o = 4 - c. Solve -4*y + 7 = g - 5, o = -4*g - y + d for g. 0 Let b(q) = q**2 + 15*q + 30. Let p be b(-13). Solve 4*z = 5*g, -p*g + 10*z - 9 = 5*z for g. 4 Let m be (6/(-4))/(5 - 43/8). Solve -3*n - 14 = j - 0*j, -3*n = m*j + 11 for n. -5 Let t = 12 + -40. Let v be 4/10 + t/(-5). Let u(b) = b - 3. Let o be u(6). Solve -o*m = 5*p + 2, -5*m = 5*p - 6*m + v for p. -1 Let f = -57 + 97. Suppose 2*m - 50 = -z, -2*z + 6*z + 4*m = 212. Let a = z - f. Solve 0 = 3*k - 3*p, 5*p - a = -4*k + k for k. 2 Let h = 79 + -75. Solve 2*v - 3*q = 5*v + 3, -31 = h*v - 5*q for v. -4 Let u = 4 + 1. Let x(j) be the second derivative of j**5/20 - j**3 - j**2 + 7*j. Let l be x(3). Solve 2*b = -u*f - 21, -2*f = -2*b + 7 + l for f. -5 Let k be (-4)/6 + 144/54. Suppose n - 2*w - 6 = 0, 2*n - 3*w - 49 = -k*n. Solve -17 = 5*b + 2*j - 0*j, -j = 4*b + n for b. -5 Let q be -4 - 3/(-6)*10. Solve q = j - 2, 0 = -4*t - 2*j + 10 for t. 1 Let k be 1*5 - (2 + 1). Solve 4*z + k*x = 20, z = 3*x - 7 - 2 for z. 3 Let r(s) = -s**3 - 15*s**2 - 13*s + 17. Let y be r(-14). Solve 0 = -3*b - y, 0 = 4*v - 3*b - 3 - 4 for v. 1 Suppose 3 + 1 = -2*q. Let w(i) = 2*i**2 + i - 2. Let n be w(q). Solve 0*k + 2*m + n = -k, -2*m - 2 = 0 for k. -2 Suppose 2*x - 3*y + 6 = 0, -2*y + 2 + 2 = 0. Solve 4*l - 28 = -4*g, x = -2*l - g + 14 - 4 for l. 3 Let a = 8 + -5. Suppose v - a = -0*v. Let i = 6 - v. Solve -4*s = i*d + 3, -d = 2*s + 5 - 4 for d. -1 Let i = 44 + -16. Solve -p - 5*a + i = 2*p, -3*p = -5*a + 22 for p. 1 Let d = -56 - -105. Suppose 5*p + 9 - d = 0. Solve 2*t + 2*f + p = -t, 12 = -3*f for t. 0 Let i(a) = a**3 +
{ "pile_set_name": "DM Mathematics" }
36, 134, 292, 522, 836, 1246? 2*r**3 + 12*r**2 - 28 What is the h'th term of 26, 41, 72, 125, 206, 321, 476? h**3 + 2*h**2 + 2*h + 21 What is the d'th term of 358, 359, 360, 361, 362? d + 357 What is the i'th term of 27, 8, -35, -114, -241? -2*i**3 - 5*i + 34 What is the w'th term of -226, -228, -240, -268, -318? -w**3 + w**2 + 2*w - 228 What is the z'th term of -931, -1871, -2811? -940*z + 9 What is the k'th term of 199, 206, 213? 7*k + 192 What is the y'th term of 5380, 5383, 5388, 5395, 5404, 5415, 5428? y**2 + 5379 What is the i'th term of 96, 479, 1124, 2037, 3224, 4691, 6444, 8489? i**3 + 125*i**2 + i - 31 What is the p'th term of -13506, -13507, -13508, -13509? -p - 13505 What is the z'th term of -7277, -14559, -21851, -29159, -36489, -43847, -51239, -58671? -z**3 + z**2 - 7278*z + 1 What is the z'th term of 18, 9, -2, -15, -30, -47, -66? -z**2 - 6*z + 25 What is the a'th term of 1087, 1097, 1121, 1165, 1235, 1337? a**3 + a**2 + 1085 What is the h'th term of 84, 95, 128, 195, 308? 2*h**3 - h**2 + 83 What is the v'th term of 1269, 2536, 3803, 5070, 6337? 1267*v + 2 What is the k'th term of 5, 10, 9, -4, -35, -90, -175? -k**3 + 3*k**2 + 3*k What is the g'th term of 16, 63, 140, 247, 384, 551? 15*g**2 + 2*g - 1 What is the l'th term of -1122, -2244, -3366, -4488? -1122*l What is the v'th term of 433, 430, 427, 424, 421? -3*v + 436 What is the q'th term of 103, 440, 1001, 1786? 112*q**2 + q - 10 What is the a'th term of -19, -99, -327, -781, -1539, -2679, -4279? -13*a**3 + 4*a**2 - a - 9 What is the v'th term of 5, 26, 49, 74? v**2 + 18*v - 14 What is the a'th term of -42, -49, -56, -63? -7*a - 35 What is the t'th term of -1868, -1858, -1834, -1790, -1720? t**3 + t**2 - 1870 What is the q'th term of -436, -437, -438, -439? -q - 435 What is the f'th term of 108, 375, 806, 1395, 2136, 3023, 4050, 5211? -f**3 + 88*f**2 + 10*f + 11 What is the h'th term of -627, -626, -625? h - 628 What is the j'th term of 17, 28, 39, 50, 61? 11*j + 6 What is the y'th term of 41, 114, 307, 680, 1293, 2206, 3479? 10*y**3 + 3*y + 28 What is the b'th term of -190, -216, -256, -316, -402? -b**3 - b**2 - 16*b - 172 What is the j'th term of -377, -505, -645, -803, -985, -1197, -1445, -1735? -j**3 - 121*j - 255 What is the z'th term of -2015, -2013, -2011? 2*z - 2017 What is the h'th term of -14, -48, -104, -182, -282, -404? -11*h**2 - h - 2 What is the d'th term of 263, 259, 255? -4*d + 267 What is the q'th term of 43, 89, 139, 193, 251, 313, 379? 2*q**2 + 40*q + 1 What is the l'th term of 28, 22, 14, 4? -l**2 - 3*l + 32 What is the a'th term of 55, 101, 133, 151, 155? -7*a**2 + 67*a - 5 What is the m'th term of -1088, -2183, -3280, -4379, -5480, -6583, -7688? -m**2 - 1092*m + 5 What is the j'th term of 11, 21, 31, 41, 51? 10*j + 1 What is the p'th term of 105, 191, 289, 405, 545, 715? p**3 + 79*p + 25 What is the x'th term of -3252, -6504, -9756, -13008, -16260? -3252*x What is the p'th term of -16, -45, -104, -205, -360, -581, -880? -2*p**3 - 3*p**2 - 6*p - 5 What is the q'th term of 2220, 2217, 2214? -3*q + 2223 What is the v'th term of -357, -709, -1055, -1395, -1729, -2057? 3*v**2 - 361*v + 1 What is the w'th term of -50, -53, -56? -3*w - 47 What is the h'th term of 725, 729, 735, 743? h**2 + h + 723 What is the x'th term of -143, -125, -89, -29, 61? x**3 + 3*x**2 + 2*x - 149 What is the d'th term of -38, -30, -16, 4, 30, 62? 3*d**2 - d - 40 What is the o'th term of -10, 11, 78, 215, 446, 795? 4*o**3 - o**2 - 4*o - 9 What is the z'th term of 16, 15, 16, 19, 24? z**2 - 4*z + 19 What is the f'th term of -206, -401, -582, -743, -878, -981, -1046, -1067? f**3 + f**2 - 205*f - 3 What is the a'th term of -32, -68, -104, -140, -176, -212? -36*a + 4 What is the r'th term of -56736, -56732, -56716, -56682, -56624, -56536, -56412, -56246? r**3 - 3*r - 56734 What is the p'th term of -734, -1469, -2204, -2939? -735*p + 1 What is the j'th term of -602, -605, -608? -3*j - 599 What is the f'th term of 218, 262, 298, 320, 322, 298, 242, 148? -f**3 + 2*f**2 + 45*f + 172 What is the q'th term of -660, -657, -652, -645? q**2 - 661 What is the u'th term of 2, 72, 270, 662, 1314? 11*u**3 - 2*u**2 - u - 6 What is the o'th term of 15, 14, 15, 18, 23, 30, 39? o**2 - 4*o + 18 What is the h'th term of -38, -90, -152, -224, -306, -398, -500? -5*h**2 - 37*h + 4 What is the w'th term of -8, -16, -34, -68, -124, -208, -326? -w**3 + w**2 - 4*w - 4 What is the k'th term of -1, -24, -55, -100, -165, -256? -k**3 + 2*k**2 - 22*k + 20 What is the t'th term of 215, 213, 211? -2*t + 217 What is the s'th term of 450, 920, 1394, 1872? 2*s**2 + 464*s - 16 What is the u'th term of 11, 7, 3, -1, -5? -4*u + 15 What is the z'th term of 7, 6, -11, -56, -141, -278? -2*z**3 + 4*z**2 + z + 4 What is the x'th term of -1, -12, -21, -28, -33, -36, -37? x**2 - 14*x + 12 What is the v'th term of 146, 294, 444, 596? v**2 + 145*v What is the z'th term of -103, -98, -91, -82, -71, -58? z**2 + 2*z - 106 What is the f'th term of 25, 64, 103, 142, 181? 39*f - 14 What is the i'th term of 111, 234, 357, 480? 123*i - 12 What is the w'th term of 29, 65, 113, 179, 269, 389, 545, 743? w**3 + 29*w - 1 What is the l'th term of 429, 425, 421, 417? -4*l + 433 What is the k'th term of -2809, -2815, -2821, -2827, -2833? -6*k - 2803 What is the r'th term of -25, -58, -85, -106, -121, -130, -133? 3*r**2 - 42*r + 14 What is the j'th term of -36, -56, -76, -96, -116, -136? -20*j - 16 What is the f'th term of 3013, 3018, 3023? 5*f + 3008 What is the v'th term of -303, -1212, -2727, -4848? -303*v**2 What is the a'th term of 1158, 1130, 1054, 906, 662, 298? -4*a**3 + 1162 What is the z'th term of 1743, 6967, 15673, 27861, 43531, 62683, 85317? 1741*z**2 + z + 1 What is the q'th term of -250, -235, -182, -73, 110, 385, 770, 1283? 3*q**3 + q**2 - 9*q - 245 What is the c'th term of 18, 14, 6, -6, -22, -42, -66? -2*c**2 + 2*c + 18 What is the q'th term of 76, 324, 742, 1330, 2088, 3016, 4114? 85*q**2 - 7*q - 2 What is the f'th term of -15, -40, -105, -228, -427, -720? -3*f**3 - 2*f**2 + 2*f - 12 What is the q'th term of 9, 15, 35, 75, 141? q**3 + q**2 - 4*q + 11 What is the w'th term of 66, 68, 68, 66? -w**2 + 5*w + 62 What is the n'th term of -2907, -11635, -26181, -46545, -72727, -104727? -2909*n**2 - n + 3 What is the h'th term of -197, -196, -195, -194, -193, -192? h - 198 What is the o'th term of 20, 22, 26, 32, 40? o**2 - o + 20 What is the s'th term of -5540, -5542, -5544, -5546? -2*s - 5538 What is the x'th term of 336, 361, 386, 411, 436, 461? 25*x + 311 What is the v'th term of 4408, 8815, 13222, 17629? 4407*v + 1 What is the l'th term of -421, -423, -427, -433, -441? -l**2 + l - 421 What is the a'th term of -1428, -2855, -4282, -5709? -1427*a - 1 What is the l'th term of 137, 129, 121, 113? -8*l + 145 What is the b'th term of -1372, -1372, -1382, -1408, -1456? -b**3 + b**2 + 4*b - 1376 What is the g'th term of 0, 0, 2, 6? g**2 - 3*g + 2 What is the q'th term of 63, 225, 501, 897, 1419? q**3 + 51*q**2 + 2*q + 9 What is the m'th term of -1, 6, 23, 56, 111, 194, 311? m**3 - m**2 + 3*m - 4 What is the y'th term of 17, 57, 165, 377, 729, 1257, 1997? 6*y**3 - 2*y**2 + 4*y + 9 What is the v'th term of 98, 94, 90, 86, 82, 78? -4*v + 102 What is the g'th term of 19, 19, 21, 25, 31, 39, 49? g**2 - 3*g + 21 What is the x'th term of 65, 146, 239, 350, 485, 650? x**3 + 74*x - 10 What is the p'th term of 2438, 9764, 21974, 39068, 61046, 87908, 119654? 2442*p**2 - 4 What is the z'th term of -240, -479, -718, -957? -239*z - 1 What is the c'th term of 65, 131, 171, 173, 125, 15? -2*c**3 - c**2 + 83*c - 15 What is the w'th term of 8, 22, 36, 50? 14*w - 6 What is the r'th term of 66, 91, 118, 147, 178, 211, 246? r**2 + 22*r + 43 What is the f'th term of 395, 776, 1157, 1538, 1919, 2300? 381*f + 14 What is the v'th term of 11749, 11751, 11753, 11755, 11757? 2*v + 11747 What is the f'th term of -199, -791, -1777, -3157? -197*f**2 - f - 1 What is the v'th term of 84, 65, 36, -9, -76, -171, -300, -469? -v**3 + v**2 - 15*v + 99 What is the b'th term of 402, 401, 400, 399, 398? -b + 403 What is the j'th term of -17, -28, -31, -20, 11, 68? j**3 - 2*j**2 - 12*j - 4 What is the s'th term of -311, -301, -277, -233, -163, -61, 79, 263? s**3 + s**2 - 313 Wha
{ "pile_set_name": "DM Mathematics" }
- 92 = 0. Let v = -24 + p. What is the tens digit of v? 1 Suppose 6190 = 18*h - 8*h. What is the hundreds digit of h? 6 Let w be -4*-3*4/3. What is the tens digit of w/6*(510/24 + -7)? 3 Suppose -13*j - 2*u - 2780 = -15*j, 0 = 3*j + u - 4162. What is the units digit of j? 8 Let p(t) = -t**3 - 7*t**2 + 8*t + 1. Let b be p(-8). Let f be (b - 3)*(1 - 3). Suppose 4*u + f*i - 204 = -0*u, -4*u - i = -207. What is the tens digit of u? 5 Suppose -221 = -2*i + 309. What is the tens digit of i? 6 Suppose 3*v - 1232 = 2143. What is the units digit of v? 5 Suppose -12 + 0 = 4*d. What is the tens digit of (-97)/d + (-7)/21? 3 Let q(k) be the first derivative of -k**4/4 + 2*k**3 + k**2/2 + 7*k - 13. What is the units digit of q(5)? 7 What is the hundreds digit of (-52 - 0)/(136/(-4148))? 5 Let a(r) = -3*r**2 + r + 145. What is the units digit of a(0)? 5 Let x = -6 + 29. Let s = 19 + x. What is the tens digit of s? 4 Suppose -x + 5*s + 24 = 0, -x - x + 4 = s. What is the hundreds digit of (9 - x/1)*(-61)/(-1)? 3 Let b(q) = -7*q - 30. Suppose -5*d - 27 - 23 = 3*t, 2*t = 2*d - 12. What is the tens digit of b(t)? 4 Suppose -2*t - 5*f + 6 = 0, 3*t - 4*f - 9 = f. Let i(p) = -p**3 + 8 + 0*p - 5*p - 6*p - t*p - 12*p**2. What is the tens digit of i(-11)? 4 Suppose -19*s + 40400 = 4300. What is the tens digit of s? 0 Suppose 3*w = 1191 - 171. What is the tens digit of w? 4 Suppose 0 = 2*k - 2*q - 14, 11 = 2*k + 5*q + 25. Let h be 31/3 + (-1)/k. Suppose 3*t + 4*m - 1 = 1, 5*m = -5*t + h. What is the units digit of t? 6 Suppose -4*m = o - 223, 0 = -o + 1 - 2. What is the tens digit of (m/(-70))/(2/(-140))? 5 Let r be (2 - 5)*(-2 - -3). Let c(i) = -9*i + 1. Let v be c(r). Suppose s = -4*s + 3*g + 140, -s + 2*g + v = 0. What is the units digit of s? 8 Let r = -1079 + 1802. Suppose -3*i + 3*d - r = -7*i, 0 = -2*d + 2. What is the hundreds digit of i? 1 Let k = -41 - -469. What is the tens digit of k? 2 Let a(r) = r**3 + 43*r**2 - 74*r - 13. What is the units digit of a(-43)? 9 Suppose s = 3*c + 90, -3*s - 14*c = -18*c - 245. What is the tens digit of s? 7 What is the hundreds digit of 32/(-3)*3969/(-126)? 3 Let f be (668 + -3)/5 - 1. Suppose 2*c - f = -2*c. What is the units digit of c? 3 What is the thousands digit of 1/(-3) + 83125/57? 1 Suppose 0 = -7*a + 15*a - 8960. What is the tens digit of a? 2 Suppose -8*g + 840 = 4*g. What is the units digit of g? 0 Suppose -4*i = 2*o - 18, 4*i + 0*o - 2*o = 22. Suppose -a + 0*d = -d - 196, -i*a + 987 = 2*d. What is the units digit of a? 7 Let l(m) = m**3 - 5*m**2 - 8*m + 9. Let u = 21 + -15. Let w be l(u). What is the units digit of -2 - (-1)/(w/(-39))? 1 Let r be (8/3)/(4/6). Suppose 3 + 5 = r*t. What is the units digit of t/1 - (0 - 3)? 5 Let z(b) = -13*b + 2. Let v be z(-2). Let k(p) = -p**2 + 17*p + 102. Let r be k(22). Let m = v + r. What is the units digit of m? 0 Suppose -o + 3*g + 3304 = 0, -16440 = 16*o - 21*o - 5*g. What is the units digit of o? 2 Let w = -11 - -43. Suppose -4*u - 4*v = -96, v + 2*v - w = -u. What is the units digit of (-1 - 1)*(-10)/u? 1 Suppose 0 = 3*b - 165 - 27. Suppose b*a + 788 = 68*a. What is the hundreds digit of a? 1 Suppose 10 = 2*v + 8. Let z(f) = 20*f**3 + f**2 - f. Let t be z(v). Suppose -t = -r - 2. What is the tens digit of r? 1 Let h(r) = -r**3 + 30*r**2 - 61*r - 53. What is the hundreds digit of h(27)? 4 Let x = 48 + 1123. What is the thousands digit of x? 1 Let c = 14 - 98. Let o = c - -163. What is the units digit of o? 9 Suppose 3*q = -0*q + 15. Let t be 351/15 - 2/q. Suppose -f + t = 12. What is the units digit of f? 1 Suppose -35281 - 22511 = -28*k. What is the hundreds digit of k? 0 Let y = 62 - 59. Suppose -2*z - 5*g - 222 = -y*z, 3*z = 4*g + 644. What is the units digit of z? 2 Suppose 0 = d + 3, 2*d - d = 5*k + 177. Suppose -4*b + q + 53 - 14 = 0, q = -3. What is the units digit of 583/b - k/162? 5 Let i(k) = 3*k**2 + 8*k + 1. Let w = 43 - 39. What is the units digit of i(w)? 1 Let j be 1*(3 - 0)*2. Let i = j - 2. Suppose 36 = 4*y - i*p, -9 = 2*y + 4*p - 3. What is the units digit of y? 5 Let h(r) = r**3 + 9*r**2 + 9*r + 11. Let v be h(-8). Suppose -v*l - 9 = -6*l. Suppose 0 = -l*b - 3*z + 24, 0 = b + z + 2*z - 2. What is the units digit of b? 1 Let n = -34 + 38. Suppose -3*s = n*s - 21. What is the units digit of s? 3 Let f = -1344 - -1673. What is the tens digit of f? 2 Suppose 4*c + 147*u - 10254 = 152*u, -4*u = -5*c + 12822. What is the units digit of c? 6 Let h = -18 - -24. Suppose -h*b = -474 - 276. What is the hundreds digit of b? 1 Let h = 735 - 566. What is the hundreds digit of h? 1 Suppose 2*c = -2*c + 1052. Suppose 2*b - 15 = -3*d + 93, -10 = -5*d. Suppose 4*t = c - b. What is the tens digit of t? 5 Suppose 0 = 2*b - 2 - 8. Suppose b*i = 2*i + 252. What is the tens digit of i? 8 Suppose -5*v + 3*p + 147 = 0, -7*v + 88 = -4*v - 2*p. What is the units digit of v + 10/(20/4)? 2 Suppose 7*x = -30 - 5. What is the tens digit of (x/(10/3))/((-5)/170)? 5 Let x = -264 - -640. What is the hundreds digit of x? 3 Let c(b) = b**3 - 3*b**2 - 12*b + 6. Let s be c(5). Let f be (-6 + 1)*12/(-15). What is the tens digit of (-16)/f*31/s? 3 Let q(n) = 32*n**2 + 5*n + 5. What is the hundreds digit of q(-2)? 1 Let u(h) = h**2 + 6*h - 11. Let l be u(-8). Suppose -3*p + 3*x + 2*x = -88, x + 132 = l*p. What is the units digit of p? 6 Suppose -4*u + 0*u = 60. Suppose 0 = -3*k + 5*n + 61 + 81, -3*n + 141 = 4*k. Let o = u + k. What is the tens digit of o? 2 Let x(o) = o**2 + 7*o - 3. Let s be x(-7). Let c(i) = i**2 + i - 1. Let v be c(s). Suppose -35 = -4*j - v*n + 29, 5*n = 4*j - 104. What is the units digit of j? 1 What is the tens digit of (-24)/420 + (-7527)/(-35)? 1 Suppose 1 = 3*a - 5. Suppose 9 = a*v + 3. Suppose 0 = -3*h + 4*t + 16, 6*t - 27 = -h + v*t. What is the tens digit of h? 1 Let o(w) = 3*w**2 + 11*w + 14. Suppose 15*p + 18 = 12*p. What is the tens digit of o(p)? 5 Suppose -3*g + 42 = 4*z, z - 4*g + 44 = 5*z. What is the units digit of z? 9 Suppose -15 = 5*h - 4*i - 63, h - 4*i - 16 = 0. Let u = -4 + h. Suppose 3*b + 3*c - 74 = 2*b, 3*c + 236 = u*b. What is the units digit of b? 2 Let r be 3098/8 + -1 - (-3)/4. Suppose -3*m - 123 + r = 0. What is the tens digit of m? 8 What is the hundreds digit of 2/(16/(-3592))*-1? 4 Suppose 320 = -5*y + 4*v, 5*y + 5*v - 265 = 9*y. What is the tens digit of (1280/y)/(4/(-6))? 3 Let k be (-3)/(-2)*(-36)/(-27). Let i(y) = -2*y**3 - 4 + k*y**3 + y**3 - 3 - 7*y**2 - 7*y. What is the units digit of i(8)? 1 Let m = -14 + 8. Let n(u) = u**2 + 7*u + 6. Let d be n(m). Suppose d = 2*x - 6*x + 56. What is the units digit of x? 4 Suppose 0 = -6*o + 22 - 4. Suppose -16 + 73 = o*b. Let u = b - 16. What is the units digit of u? 3 Suppose -r + 79 = -150. Suppose -4*l + 7*m = 2*m - r, 2*l + m - 97 = 0. What is the tens digit of l? 5 Let k(z) = 1 - 40*z**2 + 205*z**2 - 3 + 64*z**2 + 3*z. What is the hundreds digit of k(1)? 2 Suppose 112 = 3*z - 2*q, -2*z + 5*q - 24 = -117. Let f = 40 - z. What is the units digit of f? 6 Suppose -2*a - 85 = -5*u + 503, 4*a = -2*u - 1200. Let i = a + 560. What is the tens digit of i? 6 Let i = 12 - 9. Suppose -5*z + 27 = v, -i*z - v = 2*v - 9. Suppose -z*b + 64 = -2*b. What is the units digit of b? 6 Let n(s) be the second derivative of -2*s**4/3 - 2*s**3/3 - 2*s**2 - 2*s. Let z be n(4). What is the units digit of 1/(0 - 4/z)? 7 What is the tens digit of -35*(-1080)/(-28)*-2? 0 Let z be 6 + 1*(0 - 1). Suppose -z*w + 0*k - 3*k + 160 = 0, -w + k + 40 = 0. What is the units digit of w? 5 Suppose 0 = -r + 5*v + 742 + 192, 0 = r - 3*v - 936. What is the tens digit of r? 3 Suppose 4*w + 0*w = -20. What is the tens digit of ((-66)/(-24) + w)/((-1)/40)? 9 Let s = 3 + 5. Suppose 0 = -s*k + 2*k - 264. Let i = k - -69. What is the units digit of i? 5 Let m be -52 - (4 + 0)/(-4). Let c = m - -202. What is the hundreds digit of c? 1 Let s(q) = -182*q**3 - 2*q - 3. Let u(a) = -181*a**3 - 2*a - 2. Let f(h) = 4*s(h) - 5*u(h). Let y be f(1). Suppose -4*c + c = -y. What is the tens digit of c? 5 Let a(l) be the first derivative of -l**3/3 - l**2/2 + 5*l - 6. Let i be a(0). Suppose -2 + 10 = i*c + 2*u, 3*c = -5*u + 1. What is the units digit of c? 2 Suppose -v = -7*v. Suppose -q = i - 6*i - 12, -4*i - q - 15 = v. What is the tens digit of
{ "pile_set_name": "DM Mathematics" }
5 Let b(v) = -v**3 + 5*v**2 - 4*v + 3. Suppose 4*d - 5*d = -4. Let f be b(d). Solve -2*p + 0*p - 5*s + 15 = 0, -f*p - 2*s = 5 for p. -5 Suppose 8*k - 16 = 7*k. Let m = 16 - k. Solve 4*b + 4*l = m, l - 5*l = 5*b + 1 for b. -1 Let l(b) = -b**3 + b**2 - b + 3. Let k = -5 + 5. Let h be l(k). Suppose -3*p = -4*p + 4. Solve -h*x + 0 = -2*r - 2, -3*r + x + p = 0 for r. 2 Suppose -4*b = -53 - 7. Suppose 2*l + l - b = 0. Solve -l*q + 4*o = 1, 0 = -q + o - 0 - 1 for q. 3 Let h be (-3)/(-6)*3*(-8)/(-3). Solve 2*d + 0*d = -8, -4*f + h = d for f. 2 Let x(a) = -4 + a + 0 - 3. Let s be x(11). Solve s*n - 6*n - f = -5, 5*n + 3*f - 10 = 0 for n. 5 Let y(d) = d**2 - 6*d + 7. Let j be y(3). Let b be j/4 - (-88)/16. Solve -2*w = 3*z + 7, -20 = b*z - 3*w - 2*w for z. -3 Suppose 4*w + 5 = 1. Let y be 3 + w - (1 + -3). Suppose -3*b + 6*b + y*p = 28, 3*p - 12 = 0. Solve 4*o + b*l = 24, l + 3 = o + 1 for o. 4 Suppose 0 = -5*y - 3*x + 9, -y - 4*y - x + 3 = 0. Suppose 4*o = g + 8, o + y*o - 2 = g. Solve 3*r = -4*b - 16, -2*b = -b - o*r - 7 for b. -1 Suppose -2*n = -n - 2. Suppose -q = -3*f + 10, -3 = -4*f + 3*q + n. Solve 5*y + 0*h - 4*h + 3 = 0, -24 = 3*y + f*h for y. -3 Let q(r) = -r**2 - 4*r. Let a be q(-3). Suppose 3 = 3*g - g - 3*o, 2*g + a*o = -3. Solve g = -4*d - 0*d + 4, 4*d = -h for h. -4 Let y = -5 + 7. Suppose 2*k - 5 = -3*k - 2*f, -4*k + 37 = -5*f. Solve 2*b + 22 = k*q - 1, -y*b = -4*q + 28 for b. -4 Let q(p) = p**3 - 2*p**2 - 4*p - 3. Let n be q(4). Solve -c + 17 = 4*x, -4*x = -c - 2*x - n for c. -3 Suppose -3*r - 20 = -7*r - 5*z, 4*z = 0. Let i = r + -5. Let l be 1 + (-1 - i) - -2. Solve -3*s + 9 = 3*u, -5*s + l*u = -s - 24 for s. 5 Suppose 0 = -4*a - 2*m + 4, 2*a - 7*m = -3*m + 22. Suppose -4*z + z - 2*j = -60, 4*z - 4*j = 60. Solve 3*c + l = 7, -c + a*c = 5*l - z for c. 1 Suppose -3 = -3*o, 6*k = k + 3*o - 3. Solve v + 2*q = 5*v + 8, k = -2*v + 2*q - 8 for v. 0 Let z = -9 - -25. Let t be (15/(-2) + 2)*-2. Let w = t + -9. Solve -2*y - 3*j = z + 5, -y = -j - w for y. -3 Suppose 3*h = -5*j + 57, -2*j - 4*h - 18 = -52. Suppose 0 = -3*g + 3*c + j, -3 = -g - 2*c + c. Solve -w + 17 = 4*q, g*w + 9 = 5*q - 2*q for q. 4 Suppose j = -2*x - 4*j - 7, 3*j + 29 = 5*x. Solve -4*n + 0*n = m - 6, 3*m + x*n - 10 = 0 for m. 2 Let g(m) = 5 - 2 + 2*m - m**2 + 0*m. Let r be g(3). Solve -a + 3*a = r, 3*a + 12 = 4*t for t. 3 Suppose 2*j = 3*g + 59, -2*j - 3*g + 25 = -j. Let y = j - 20. Solve 5*x - 5*v = 20, 0 = -4*x - 3*v + v - y for x. 0 Let h(x) = 41*x + 5. Let c(n) = -20*n - 2. Let z(j) = -7*c(j) - 3*h(j). Let y be z(1). Solve 2*b - y = -f - b, 2*f + 3*b - 17 = 0 for f. 1 Suppose -x + 8 = g - 0*x, x + 1 = 2*g. Suppose 3*p = 5*p - 2*a, -5*a = -g*p. Solve p*c - 3*j - 22 = -5*c, j - 2 = -3*c for c. 2 Let v(i) = i**3 + 4*i**2 + 6*i + 5. Let t be v(-3). Let z be 1 + 1/(t + 3). Solve 0 = -k + 3*l - 13, 4*k + 1 = -5*l - z for k. -4 Suppose y + 18 = 2*y. Let q be (-8)/(-6) + 12/y. Solve i + 9 = q*v, 2*v = -3*i + 6 - 17 for i. -5 Let k(n) = 2*n**3 + 2*n**2 - 2*n - 2. Let d be k(-2). Let s be (1 - -4)*d/(-5). Let q = 3 + s. Solve p = x - q - 0, 5*x - 25 = p for p. -5 Suppose 4 + 2 = 2*y. Solve 5*s - 2*r + 7*r = -15, 3*r - 9 = y*s for s. -3 Let w(c) = -c**2 - 7*c - 6. Let x be w(-5). Suppose -2*h - 4 = -t + 5*t, h = 3*t - 7. Let v be (-2)/h + (-30)/(-20). Solve g = -l + 3, v + 1 = -x*l + g for l. 0 Let d(y) = 9*y**3 - 2*y**2 + 2*y. Let t be d(1). Solve -t = 3*g - 2*v, -3*g = 2*v - 3*v + 12 for g. -5 Let x(u) = -u**2 + 6. Let p be -2 - (-3 - (-3 - -2)). Let g be x(p). Let w be (g - -2) + (-9)/3. Solve -3*n - 24 = -2*a - w, 3*n - 6 = -3*a for n. -3 Let o(y) = -5*y**3 - y**2 - y - 1. Let k(r) = -r**3 - 6*r**2 + r + 5. Let t be k(-6). Let w be o(t). Solve -4*v + 4*n - 6 = 6*n, 15 = -v + w*n for v. -3 Let i = -4 - -6. Let f be -34*(-3)/6 - i. Let g = f + -10. Solve -2*b + 7 = g*a, 3*a - b = -0*b + 13 for a. 3 Suppose 2*t + 4 = 3*t. Solve 4*w + 0 - t = 4*a, -2*w = 2*a - 2 for a. 0 Let r be ((-24)/20)/(1/(-30)). Suppose 0 = -5*t - 6 + r. Let m = t - 4. Solve -h + 3*o - 18 = -4*h, 6 = 4*h - m*o for h. 3 Suppose -2*x + 0*x = -3*i + 15, 5*i = -x + 12. Solve -i*h - 1 = m + 4, -4*h - 10 = 2*m for h. 0 Let a(j) = -j**2 + 19*j + 20. Let u be a(20). Let c be (-7)/(-3) - 4/(-6). Solve u = -c*f - 6, -6*r + f + 17 = -r for r. 3 Suppose -27 + 123 = 2*o. Suppose -4*w = -0*w - o. Solve -2*r - w = -3*a - 0*r, 0 = -r - 3 for a. 2 Let t be ((-12)/(-15))/((-2)/(-10)). Solve 3*v = -1 + 7, t*v = 4*f + 24 for f. -4 Let u be 6/21 + 244/28. Solve j = -2*r - u, 2*r - 3*j - 18 = 5*r for r. -3 Let p = -4 + 5. Let g be (p - 2)*1 - -1. Suppose -2*q + q = 5*y - 23, g = -4*y - q + 18. Solve -3*k + 2*x + y = 0, -k - 4*k = 2*x - 35 for k. 5 Let n(d) = 5*d**2 + d - 1. Let c be n(1). Suppose x = c*x - 8. Suppose 11 = 3*h + x. Solve 2*g = -2*m, -m - h*g = -2*m - 20 for m. -5 Let k be (-4)/10 - (2 + (-128)/20). Solve 2*o - 4*x = 4, -3*o + 0*x - k*x - 24 = 0 for o. -4 Suppose 8 = u + u. Suppose u*z = -2 + 10. Suppose i = 4*q - 0*i - 10, 5*q + 2*i = 19. Solve 0 = -z*w - q*l + 6, -7*w + 4*l = -2*w - 15 for w. 3 Suppose d + 4*q = 25, -4*d + 9*d = 3*q + 10. Suppose 0 = -p - v + 13 - 1, 2*p = -4*v + 32. Solve 5*y = 5*a + 20, 2*y + d*a + p = 4*y for y. 4 Let h be ((-3)/2)/(24/(-64)). Let n be h - 5/((-5)/(-2)). Solve -2*m + 0*m = 4*b + 8, n*b + 3*m = 4 for b. -4 Let k(i) = 3*i + 8. Let b(h) = -h. Let p(v) = 4*b(v) + k(v). Let l be p(8). Solve 3*r - 10 + l = -o, 0 = 2*r + 2*o for r. 5 Let t be ((-12)/10)/((-12)/30). Let n be -3 + (8 - 9/t). Solve o + n = 3*o + 2*f, -f = -5 for o. -4 Suppose 2*d - 5*w = 31, -d - 7 = 4*w + 10. Solve 15 = -0*b + 4*b + 3*t, -13 = -d*b - 4*t for b. 3 Let d = 1 - -1. Let c be -1 + d - 1 - -3. Suppose -2*g = 5*x - 8, 2*g + c*x = g + 4. Solve -f + 4*w = -g*f - 5, -w = f for f. 5 Let x(t) = 2*t - 6. Let z be x(4). Suppose 2*c = -z*c. Let w be (c*3/9)/1. Solve -5*d - 5*y = 20, -3*d + 2*y = -w*y - 13 for d. 1 Let k = -7 - 7. Let i = k - -18. Solve 0 = i*m - 3*r + 10, -4*r = 4*m + 25 - 1 for m. -4 Suppose -w - 4*w - 5*b = 0, 4*b + 12 = 0. Suppose 0 = v + i - 5, -4 = -4*v + w*i - 5. Solve -v*f - 5*g = -19, 2*f + 4*g - 9 = g for f. -3 Let m(x) = -x**2 - 6*x - 6. Let u be m(-4). Let w be ((-2)/(-3))/((-3)/(-108)*6). Let k = w - u. Solve -3*b + b - k*v = 10, 5*b - 5*v = -5 for b. -3 Let d = 18 - 12. Let v be d/(-9) + (-12)/(-18). Solve 0 = -5*a - 4*q - v + 40, -17 = 2*a - 5*q for a. 4 Let m(x) be the first derivative of x**2/2 + 11*x + 1. Let a be 1/(2*4/(-56)). Let h be m(a). Solve -5*w - 21 = -h*f, w - 6*f = -3*f - 13 for w. -1 Let l = -10 - -16. Suppose -3 = z - l. Suppose z*n = 2*n. Solve 1 = -k, -4 = y - n*k + 3*k for y. -1 Let o be ((-80)/(-60))/((-2)/(-3)). Solve 0 = 3*u + 5*b - 10, -o*b + 4 = -4*u + 2*u for u. 0 Suppose k - 3*k = 0. Let x(s) = s**2 + s - 8. Let b be x(0). Let t(z) = -z**3 - 9*z**2 - 10*z - 11. Let d be t(b). Solve 4*u + 22 = -5*y - 3, k = d*y - u for y. -1 Let s(q) = 2*q**2 + 2*q - 1. Let x be ((-39)/9 + 4)*-3. Let w be s(x). Solve -w*m = l + 2 - 12, -2*m = -5*l - 35 for l. -5 Let v be (-6)/(10/6 + -2). Solve 0 = -t - 4*a - 12, t = -2*t - 3*a - v for t. -4 Let n be 12/(-9)*6/(-4). Suppose 2 = n*q - 6. Solve f + q*f - 5*p - 5 = 0, 0 = 5*f + 4*p + 13 for f. -1 Let h be 4 + -4 - 1*-9. Suppose o = -1 + h. Let d = -4 + o. Solve 0 = 3*x, 0*q - d*q - 5*x = -8 for q. 2 Suppose 0 = -5*p - 5, 5*i = 3*p + p + 19. Let d = i + -3. Suppose 3*f - 5*f + 8 = d. Solve -2 = 5*n - 2*r - 24, -n - f*r = 0 for n. 4 Suppose 5*b - 21 = 29. Let y be 4/14 + (-24)/(-14). Suppose 0 = -0*f - y*f + b. Solve -5*q - 5 = f*g + 10, 3*g + 9 = 0 for q. 0 Let b be -2 + 2*(3 - 2). Suppose -5*w + b*w = -10. Suppose -5*m - 3*d + 71 = 0, w*m + 2*m - 4*d = 76. Solve -2*o + 0*k + 5*k = m, -5*o + 3*k - 2 = 0 for o. 2 Let p(w) = -w**2 - 6*w - 5. Let n be p(-5). Suppose n = 5*i - 598 - 2. Suppose 0 = -z - 4*z + i. Solve 0*o - 4*o + 2*s - z = 0, 0 = -o - 3*s + 8 for o. -4 Suppose 21*d - 60 = d. Solve d*q - m = -5, 4*m - 20 = -5*q - 0 for q. 0 Let u be (-3 + 2)/(-1)*17. Let g = u - 12. Solve -3*n = 5*p + 15, g*n - 2 - 4 = 2*p for p. -3 Let p(c) = c**3 + 6*c**2 - c - 6. Let v be p(-6). Solve -b + 4*h + 25 = v, -3*b + 30 = -h + 10 for b. 5 Let k be 6/(-10) - 318/(-30). Solve 5*g - 2*t + 18 = -9, -3*g - 5*t = k for g. -5 Suppose 2*f + 4*x -
{ "pile_set_name": "DM Mathematics" }
. Suppose 5*r = 3*z + 50, 2*r = -r - y*z + 30. Calculate the highest common factor of r and w. 5 Suppose 5*o = 127 - 32. Suppose 5*q = 3*f - o, -2*f = -0*f - 5*q - 6. Let r = f - 8. Calculate the greatest common factor of 40 and r. 5 Let i be 9/(-36) + 114/8. Let n be (-1)/(-7) + 222/i. What is the highest common factor of 144 and n? 16 Suppose 0 = -g + y + 109, 0*g = 4*g + 5*y - 436. Suppose 0 = -4*z - 61 + g. Calculate the greatest common divisor of 108 and z. 12 Let k be (18 - 19)/(5/(-75)). Calculate the greatest common factor of k and 1065. 15 Let g(j) = 78*j - 8. Let u be g(1). Suppose b - u = -5*z, b - 3*z - z - 106 = 0. What is the highest common divisor of b and 30? 30 Let x be 13/(-7 - 75/(-10)). Calculate the greatest common divisor of x and 26. 26 Suppose -34 + 49 = 3*h. Calculate the highest common divisor of 10 and h. 5 Let k(u) = 5*u**2 + 3*u - 2. Let m be k(1). Suppose -2*y = -m - 12. Let p be 2/(-2)*4 + 103. What is the highest common divisor of y and p? 9 Let x be (-10)/3*(-1989)/65. Suppose -c - x = -318. What is the greatest common factor of 24 and c? 24 Let c(w) = -w + 16. Let q be c(-16). Let y = 36 - q. Calculate the greatest common factor of y and 4. 4 Let b be 10/(-30) + (-16)/(-3). Suppose 0 = -2*n + b*r + 70, -76 = -3*n - 3*r + 29. What is the highest common factor of 140 and n? 35 Let s = 210 - 165. Calculate the greatest common factor of s and 18. 9 Suppose 2*b - 4*b + 1257 = 3*z, -2*b - 4*z + 1252 = 0. What is the greatest common factor of 12 and b? 12 Suppose 14*q + 19*q - 2541 = 0. What is the greatest common factor of 176 and q? 11 Let w(p) = -4 - 3*p**3 + 5*p**3 + 2*p + 3. Let s be w(1). Suppose -35 = s*f - 4*f. Calculate the greatest common factor of 14 and f. 7 Let q be 66/(-24)*-44 - -11. What is the greatest common factor of 52 and q? 4 Let i(x) = 12*x**2 + 21*x - 1. Let k be i(-3). What is the greatest common factor of k and 77? 11 Suppose -9*o + d = -13*o + 2654, -3*d = -6. Calculate the highest common divisor of o and 51. 51 Let d = 115 + -115. Let f be 3/(-3)*-1*3. Let q = f - d. What is the highest common divisor of q and 3? 3 Let w be ((-728)/(-455))/((-2)/(-25)). Let p(y) = -y**3 + y - 7*y**2 + y - 6*y - 8 - 9*y. Let t be p(-8). What is the greatest common factor of t and w? 20 Suppose -z - 7 = -5*t, -3*t - 2*z + 10 = -t. Suppose t*m = -29 + 205. Let u be (26/3 - 5)/(2/6). What is the greatest common factor of u and m? 11 Let f be (-2985)/(-21) + 4*(-5)/140. What is the highest common factor of 213 and f? 71 Let j(g) = g**2 + 6*g + 7. Let l be j(-6). Let b = l - 7. Suppose 0 = k - 2*k + 3*f + 2, b = 3*k - 3*f - 18. Calculate the highest common factor of 88 and k. 8 Suppose 0 = -2*u + 3*u - 23. Let y = -3 - -32. Let z = 52 - y. What is the highest common factor of u and z? 23 Let b be 84/22 - 2/(-11). Suppose -b*x + 172 = v, -2*v = -2*x - 0*x + 76. Calculate the greatest common divisor of 126 and x. 42 Let x = -242 - -248. What is the greatest common factor of 162 and x? 6 Let i be (2 - -64) + 4*(-15)/(-10). What is the greatest common factor of i and 162? 18 Let j = 60 - 6. Suppose t - j = 96. What is the highest common divisor of t and 60? 30 Let l(s) = 8*s - 3. Let d be 3*(-2 + (1 - 0)). Let j be (-2 - (-6 - d))*3. Let g be l(j). What is the highest common divisor of g and 105? 21 Let q be 10/(-5) - -6 - 1. Suppose q*h - 248 = 88. Let o be (-2)/(-5)*(-280)/(-7). What is the highest common factor of h and o? 16 Let r(o) = o**2 - 13*o + 120. Let x be r(14). Calculate the greatest common factor of x and 335. 67 Let w(u) = u**3 + 9*u**2 + 9*u + 10. Let v be w(-8). Let j be 2/(0 - v/(-33)). What is the greatest common factor of 11 and j? 11 Let q(w) = -w**2 + 8*w - 12. Let f be q(6). Suppose f = i - 3*r - 4 - 83, 0 = 2*i + 3*r - 129. What is the highest common divisor of i and 18? 18 Suppose -3*t + 161 = 146. Calculate the highest common divisor of 20 and t. 5 Let d be (504/(-10))/(-6)*5. Suppose 12 = 8*z - 6*z. Calculate the highest common factor of z and d. 6 Suppose 4 = -k + 26. Let a = 42 + -39. Suppose -a*x = -5*x + 3*z + 123, -2*z + 6 = 0. What is the greatest common factor of k and x? 22 Suppose 4*i + 4*f - 322 = 26, -2*f - 276 = -3*i. What is the greatest common factor of 20 and i? 10 Let y be 2/(-7) + (-970)/(-14). Suppose -5*c + 3*d = -115, -23 = 5*c - 6*c - 5*d. What is the highest common factor of y and c? 23 Let g(o) = o**2 - 15. Let b(k) = -k**2 + 16. Let h(f) = 2*b(f) + 3*g(f). Let y be h(-5). Let c = 3 - -9. What is the highest common factor of y and c? 12 Let t(w) = 12 + 11*w - 26 - 7. Let g be t(7). Let k(i) = -i**3 - 4*i**2 - 2*i - 1. Let c be k(-4). Calculate the highest common factor of g and c. 7 Suppose -61 = -6*t + 5. Calculate the greatest common factor of 209 and t. 11 Let y be (8 + -260)/(-6) + 5. What is the highest common divisor of y and 517? 47 Let n be (110/33)/((-2)/3) + 46. Calculate the highest common factor of n and 1. 1 Let d(u) = -u**3 + 10*u**2 - u + 12. Let f be d(10). Suppose 4*j - 74 - f = 0. Let k = -14 + j. Calculate the greatest common divisor of k and 20. 5 Let d(a) = 14*a - 1055. Let j be d(76). What is the highest common divisor of 2943 and j? 9 Let i = 106 - -137. Suppose 898 = 5*y - 5*h + i, 530 = 4*y + 2*h. Calculate the greatest common divisor of y and 12. 12 Let l = 79 + 11. Suppose -8 = 2*j + 2*j, 5*j + l = 2*x. Suppose q - 3 = 5. What is the greatest common factor of x and q? 8 Let n(d) = -d**2 + 9*d - 9. Let s be n(5). Suppose 0 = -27*u + 30*u - 33. Calculate the highest common divisor of u and s. 11 Let d(s) = 20*s**2 - 21*s + 34. Let g be d(4). Calculate the highest common divisor of 20 and g. 10 Suppose 5*i - 145 = -18*d + 15*d, 4*d - 184 = -2*i. Let h = 45 + -8. Let m = h - 22. Calculate the highest common divisor of m and d. 15 Let f(z) = -2*z**2 - 22*z + 10. Let t be f(-11). Suppose 0 = -5*w - 57 + 257. Calculate the highest common factor of t and w. 10 Let u(c) = c**3 + c**2 - 80*c - 20. Let s be u(-6). Calculate the greatest common factor of s and 420. 140 Let n = -133 + 232. Calculate the greatest common factor of n and 44. 11 Suppose 0*w = -4*w - 24. Let a be 37/w - (-6)/36. Let k(c) = c**2 + 3*c - 3. Let p be k(a). Calculate the greatest common divisor of 15 and p. 15 Suppose 6*f - 246 = 42. Let h = -18 + f. What is the highest common factor of h and 330? 30 Suppose -141*n = -155*n + 16492. What is the greatest common factor of 152 and n? 38 Let g = -638 + 988. What is the highest common factor of g and 105? 35 Let h = -37 + 49. Calculate the greatest common divisor of 12 and h. 12 Let x be (((-3498)/4)/(-1))/(3/4). Calculate the greatest common factor of x and 318. 106 Let z be 56 + -1 + 0 + 0. Let h be ((-440)/70)/((4/(-7))/2). Calculate the greatest common factor of h and z. 11 Let o be -1 + 1 - (-96)/4. Let z = -11 - -13. Suppose -z*w = a - 7 - 25, a + 4*w - 28 = 0. What is the highest common factor of a and o? 12 Let c be -6*(2/(-3) - (-95)/(-30)). Calculate the highest common factor of 115 and c. 23 Let v(t) = -17*t + 31. Let g(k) = -4*k**2 - 7*k + 8. Let w be g(-3). Let x be v(w). What is the greatest common factor of x and 30? 30 Let x(z) = -z**2 + 8*z - 11. Let q be x(5). Suppose q*d - 4*l = 52, 2*d + 2*l - 2 = 4. Calculate the highest common factor of d and 1. 1 Suppose 34*h - 4381 = -1151. What is the greatest common factor of 19 and h? 19 Let t = 38 + -19. Suppose -625 = -3*o - 2*i, i - 1501 = -5*o - 457. What is the greatest common divisor of o and t? 19 Let j be 35/(-7) + 9 + -2. Suppose j*v = 3*v - 264. What is the greatest common factor of v and 24? 24 Let j(o) = o**2 + 11*o + 6. Let b be j(-4). Let p = b + 36. What is the highest common factor of p and 42? 14 Let v(q) = 2*q**3 - 9*q**2 + 10*q - 1. Let y be v(1). Calculate the highest common factor of 1 and y. 1 Let y be 0 + 4*(-36)/8. Let p be (-3*1)/(y/360). What is the highest common divisor of 12 and p? 12 Let b(y) = 19*y - 74. Let k be b(6). What is the greatest common divisor of 16 and k? 8 Let g(v) = v**3 - 5*v**2 + 2. Let p be g(5). Let m(o) = -o**p - 2*o + o**2 + 8 - 3*o + 2*o**2. Let k be m(4). What is the highest common divisor of 30 and k? 10 Let p = 364 - 332. Calculate the highest common factor of 6 and p. 2 Let g(n) = -7*n - 3. Let c be g(-4). Let r(w
{ "pile_set_name": "DM Mathematics" }
13*h - 152 - 225 = 0. Calculate the remainder when 183 is divided by h. 9 Let l(x) = x**3 - 11*x**2 - 12*x + 17. Let k(z) = -4*z**2 + 4*z - 1. Let i be k(3). Let g = i - -37. Calculate the remainder when l(g) is divided by 10. 7 Suppose 0 = -c - 5*i - 1, i = -4*i - 20. Calculate the remainder when -4 + (-1458)/(-30) - (-2)/5 is divided by c. 7 Suppose 0 = -4*d + 41 - 13. Suppose 0 = 5*v - 78 + 258. What is the remainder when (-9)/(27/2)*v is divided by d? 3 Let a(r) = -r**3 + 3*r**2 + r - 1. Let z(j) = -4*j + 3. Calculate the remainder when z(-3) is divided by a(2). 0 Suppose -3*w - 54 = -4*w. Let o(y) be the first derivative of 5*y**2/2 - 66*y + 43. Calculate the remainder when w is divided by o(17). 16 Suppose -12 = -4*b, 223 + 52 = 4*y + 5*b. Let w = y + 19. Let k = -73 - -90. Calculate the remainder when w is divided by k. 16 Let n(p) = 6*p - 23. Let b = 30 + -4. Calculate the remainder when n(21) is divided by b. 25 Let a(y) = 9*y - 2. Let o(v) = -v**3 + 7*v**2 - v. What is the remainder when o(5) is divided by a(2)? 13 Let q(o) = -o**3 + 15*o**2 - 23*o - 11. What is the remainder when 247 is divided by q(13)? 23 Let l(i) = 2*i**2 - 22*i + 204. What is the remainder when 513 is divided by l(9)? 9 Suppose 0 = -3*p + 7 - 1, -2*p + 29 = -5*o. Calculate the remainder when (-11934)/(-135) - (-2)/o is divided by 9. 7 Let z(k) = 176*k**2 - 2*k + 2. Let f be z(1). Suppose 2*r + 2*r - 3*o + f = 0, 2*r + 88 = -2*o. Let n = 73 - r. Calculate the remainder when n is divided by 24. 21 Let l be 0 - (2 - (-12)/(-8))*12. Let j(s) = -3*s + 30. What is the remainder when j(l) is divided by 15? 3 Let w = -10 - 11. What is the remainder when 29 is divided by (-182)/w - 6/9? 5 What is the remainder when 45 is divided by (-1 - -4)*(-20)/(-3)? 5 Calculate the remainder when 521 is divided by ((-812)/21)/(-1*(-12)/(-9)). 28 Let x = 27 + 50. Suppose 29 = -3*f + x. Calculate the remainder when 28 is divided by f. 12 What is the remainder when 3/2*534/9 is divided by 23? 20 Let k = -512 - -604. Calculate the remainder when 273 is divided by k. 89 Let t be 3 + (5 + -2 - 11). Calculate the remainder when (-25)/(-1) + t + 6 is divided by 9. 8 Suppose -3*g + 2*g + 56 = 3*b, 0 = -3*b - 2*g + 55. Suppose 28 = 2*v - 194. Calculate the remainder when v is divided by b. 16 What is the remainder when 22 is divided by 1 - (-1 - (-6 + 10))? 4 Calculate the remainder when (2 - 15/2)/(3/(-48)) is divided by 31. 26 Let b(i) = -i**3 + 6*i**2 + 27*i - 84. Calculate the remainder when 275 is divided by b(7). 51 Suppose -5*t + 857 = -8. Calculate the remainder when t is divided by (10/4)/(-3*2/(-84)). 33 Let f = -3 - -8. Let u(r) = -f*r + 1 - 2*r + r. What is the remainder when 12 is divided by u(-1)? 5 What is the remainder when (-12)/20*(-4636 - 19) is divided by 43? 41 Let c(g) = -3*g**2 - 3*g - 2. Let t be c(-3). Let j = t - -25. Suppose -j*s = m - 692 + 92, m = 5. Calculate the remainder when s is divided by 24. 23 Suppose -4*v = -22 - 6. What is the remainder when 12 is divided by v? 5 Suppose -4*y - 8*f = -3*f + 108, -2*y + 5*f - 24 = 0. Let h = y + 68. Calculate the remainder when h is divided by 17. 12 Let y(u) = -u**3 - 9*u**2 + 24*u + 41. What is the remainder when 586 is divided by y(-11)? 16 Suppose 3*v = 2*v - 3139. Let a = 4753 + v. Calculate the remainder when a/42 + (-6)/14 is divided by 13. 12 Suppose 12*o = 4*q + 9*o - 106, 5*q + 3*o - 146 = 0. Calculate the remainder when 83 is divided by q. 27 Suppose 109 = 14*j - 129. What is the remainder when j is divided by -1*(-11)/(-2)*-2? 6 Suppose -13 = -2*c - 9. Suppose -w + 6*w - 2*t = 10, w = 5*t + c. Suppose w*f - 4 = 3*m - m, -16 = -3*f - 2*m. What is the remainder when f is divided by 4? 0 Let g = 501 - 203. Calculate the remainder when g is divided by 60. 58 Let r(t) = t**3 + 4*t**2 + 5*t + 4. Let p be r(-2). Let x = 5 - p. What is the remainder when x is divided by 1? 0 What is the remainder when -2 - (-7)/(63/2817) is divided by 101? 8 Calculate the remainder when 191 is divided by (-4570)/(-50) + (-6)/(-10). 7 Let o(j) = -j**3 + 18*j**2 - 6*j + 178. What is the remainder when o(18) is divided by 8? 6 Suppose 69 - 5 = 4*p. Suppose -15*r = -10*r - 45. What is the remainder when p is divided by r? 7 Let q(k) = 6*k**2 - 8*k - 21. Let p(c) = -5*c**2 + 7*c + 20. Let a(t) = -5*p(t) - 4*q(t). Calculate the remainder when a(10) is divided by 14. 12 Let p = -293 + 305. Calculate the remainder when 248 is divided by p. 8 Let h(i) = i**3 + 8*i**2 + 7*i. Let n be h(-7). Let z(b) = -b**3 - b**2 + 2*b + 2. Calculate the remainder when 8 is divided by z(n). 0 Calculate the remainder when (4 + -9 + 4 + 0)*-33 is divided by 6. 3 Suppose 3710 = -32*y + 15870. What is the remainder when y is divided by 55? 50 Suppose r = 4*r - 183. Suppose r + 19 = 4*h. Let o = h - 6. Calculate the remainder when 39 is divided by o. 11 Let g(x) = x**3 + x**2 - x. Let u(o) = 2*o**3 - 10*o**2 + 4. Let r(t) = 3*g(t) - u(t). What is the remainder when r(-13) is divided by 12? 11 Let l(k) = k**2 + 10*k + 9. Let x = -18 - -22. Let h = x - 14. What is the remainder when 17 is divided by l(h)? 8 What is the remainder when (20/(-50))/(3/(-465)) is divided by 8? 6 Suppose -4*d - 19 = -4*v + 9, 0 = -5*d + 15. Suppose 19 = 3*j + v. Let m = 4 + -1. Calculate the remainder when j is divided by m. 0 Suppose -5*p + 114 = -4*p. Suppose 11*l - 113 = 7*l - 3*c, 0 = -3*c - 3. Calculate the remainder when p is divided by l. 27 Suppose 0 = -3*f - 20 - 10. Let v be (f/(-3))/(1/9). Suppose 5*x - 2*x = v. Calculate the remainder when x is divided by 6. 4 Let q(p) = 10*p + 119. Let i be q(-7). Let j(d) = -4*d**2 - 4*d - 4. Let r be j(-3). Let a = r + i. What is the remainder when a is divided by 8? 5 Suppose 0 = 15*o - 17*o + 116. What is the remainder when o is divided by (-103)/(-7) - (-6)/21? 13 Suppose -19*u + 11*u = -112. What is the remainder when u is divided by 2? 0 Let k(q) = -4*q**2 + q. Let a be k(-2). Let z = a - -22. Suppose 4*t - z*w - 409 = -9*w, 299 = 3*t - 4*w. Calculate the remainder when t is divided by 26. 23 Let u(c) = -19*c + 3. Let i(r) = -75*r + 13. Let b(k) = -2*i(k) + 9*u(k). Let p(h) = -18*h + 4. What is the remainder when b(-3) is divided by p(-1)? 20 Suppose -31*d + 66 = 2*d. Calculate the remainder when 8 is divided by d. 0 Suppose -2 = -3*l + 2*l. Suppose 50 = -17*j + 7*j. Let g = l - j. What is the remainder when g is divided by 5? 2 Let w(r) = 5*r**2 + 18*r - 3. Let d be w(-10). Let k = 463 - d. What is the remainder when k is divided by 21? 20 Suppose -5*h - 2*o - 1 = -29, 3*h + 5*o = 32. Suppose -n + 14 = -2*q, h*q + 41 = 4*n - 15. What is the remainder when 49 is divided by n? 7 Suppose -4 = 5*v - 14. What is the remainder when 26 is divided by v? 0 Let y(k) = 37*k**2 - k + 1. Let u be y(1). Let i = -18 + u. What is the remainder when (-220)/(-3) - (-5)/(-15) is divided by i? 16 Suppose -3*u = 3*z - 90, 2*z = 2*u - 0*u + 52. Let c = z - -38. Suppose 11 = -g + c. What is the remainder when g is divided by 14? 13 Suppose 45*w + 18*w = 105840. What is the remainder when w is divided by 33? 30 Let h be (-2)/(-9) + 52/9. Calculate the remainder when 0 - ((-453)/h + (-2)/4) is divided by 27. 22 What is the remainder when 248 is divided by (-3 - 28/4)/((-10)/50)? 48 Suppose 5 = -b + 6*b. Calculate the remainder when b is divided by ((-2)/(-4))/1*(33 - 31). 0 Suppose 0 = -17*b + 702 + 182. Suppose 5*j - 11 = -1. Suppose -j*f + 35 = -v, -3*v - 11 = -2*f + 22. Calculate the remainder when b is divided by f. 16 Let o = 362 + -266. What is the remainder when o is divided by 14? 12 Suppose 3*u - 6*u = -51. What is the remainder when 72944/1175 - (-2)/(-25) is divided by u? 11 Suppose 66 = 2*y + 18. Suppose 2*j = -4*p + 248, p + 95 + 29 = j. Suppose 56 + j = 4*s. Calculate the remainder when s is divided by y. 21 Let f be -5*((0 - 1) + -2). Suppose 4*r - f = -r. Suppose p - 38 = r*u, p - 144 = -2*p - u. Calculate the remainder when p is divided by 12. 11 Let a(m) = -3*m + 11. Let c(u) = 4*u - 11. Let x(o) = -3*a(o) - 2*c(o). Let p be x(14). What is the remainder when 32/p*9/2 is divided by 13? 9 Let n = 176 + -428. What is the remainder when 40 is divided by (2/4)/((-9)/n)? 12 Let c(f) be the first derivative of -f**4/4 - 8*f**3/3 - 2*f**2 - 20*f
{ "pile_set_name": "DM Mathematics" }
et u(b) = -12*b + 3. Give u(s). -93 Let h(p) = -13*p**2 - 7. Let a(i) = 6*i**2 + 3. Let l(s) = 9*a(s) + 4*h(s). Let c = 2569 + -2570. Calculate l(c). 1 Suppose -6 = -2*w, 5*c + 0*w = w + 7. Let h(g) = -g**c - 3 + 30*g - 18*g - 20*g. Give h(-6). 9 Suppose 34 = -13*y - 4*y. Let p be (12/(-24))/(y/16). Let h(j) = -p + 4 - 13*j + 14*j - 14*j**2. Give h(-1). -15 Let j(t) = 3*t**3 - 2*t**2 - 2*t - 1. Let h be j(-1). Let s(q) be the third derivative of q**5/60 + 5*q**4/24 - 5*q**3/6 + 4524*q**2. What is s(h)? -9 Let a(k) = -k**3 - 9*k**2 + 11*k + 13. Suppose -7*j = 14*j - 63. Suppose -j*r - 3 = 0, 6*r = -3*n + 8*r - 28. Calculate a(n). 3 Let k(a) = 7*a**3 + 15*a**2 + a - 9. Let f(c) = -3*c**3 - 7*c**2 - c + 4. Let b(r) = 5*f(r) + 2*k(r). Let l = -467922 + 467919. Determine b(l). -7 Suppose 5*d + 88 = 5*u + 98, 4*u = -3*d + 27. Let w(h) = h**3 - 3*h**2 + 3*h + 3. Calculate w(u). 12 Let o(y) = -18*y + 39*y + 1 - 12*y - 12*y - 2. Determine o(-2). 5 Let y(x) = 4*x**2 - 9*x - 87. Let p(j) = 970*j + 5826. Let h be p(-6). Give y(h). 3 Let d(j) = -5*j + 2. Let i be d(0). Let s = 12 + -11. Let t(c) = -c. Let x(p) = 3*p - 2. Let a(h) = i*t(h) + s*x(h). What is a(-2)? -4 Let k be (-256)/3*(-13 - -1). Let z = -1025 + k. Let g(j) = -j**3 - j**2 - j + 1. What is g(z)? 2 Suppose 2*u - 1 - 5 = 0. Let o(s) = -7*s**3 - 2*s**2 + 4*s + 6. Let n(y) = 5*y**3 - 2*y - 5. Let g(q) = -3*n(q) - 2*o(q). Give g(u). 6 Let a(g) = -2*g**2 + 80*g - 560. Let h be a(9). Let y(m) = -m**3 + 0*m**2 + 0*m**2 + 2 - m. Determine y(h). 12 Let j(r) = 3*r**3 + r**2 - 4. Let f = -261 + 264. Let a(u) = -u**2 + 2*u**3 - 1 + 2*u**2 + 0*u**2 - 2. Let o(v) = f*j(v) - 4*a(v). Calculate o(-2). -12 Let v(q) be the second derivative of -7*q**3/3 - 79*q**2/2 + 734*q. Give v(-6). 5 Suppose -3*q = q - 24. Let n(m) = 2*m - m**2 + m - 12 + q - 11*m + 2. Suppose 2*t + 21 = -t. Give n(t). 3 Let l be (0 + 3)*222/(-74). Let q(k) = 3*k**2 + 21*k + 4. Determine q(l). 58 Let k(a) = 436*a**3 - 10*a**2 + 9*a - 6. Let i(x) = 523*x**3 - 10*x**2 + 9*x - 5. Let d(v) = 5*i(v) - 6*k(v). Let u be 10/(-15) + 58/6. Give d(u). 11 Let k(w) be the second derivative of -w**5/20 - w**4 - w**3/6 - 3*w**2 + w. Let q = -423 + -419. Let r = -854 - q. Calculate k(r). 6 Let q(k) = -k - 3*k - 7 + 7*k**2 - k**3 + 0*k**3. Suppose 89 = -0*h + 75*h - 286. Give q(h). 23 Suppose 3*v - 461 = -467. Let m(c) = 1. Let l(s) be the third derivative of s**5/60 - s**4/6 - s**3/6 - s**2. Let p(o) = v*m(o) - l(o). What is p(5)? -6 Let z(t) = 21*t - 181. Let w(f) = -28*f + 244. Let o(k) = 7*w(k) + 9*z(k). What is o(10)? 9 Let o = 35 + -33. Let j(f) = 3*f - 62. Let g(c) = -c + 22. Let s(w) = -17*g(w) - 6*j(w). Determine s(o). -4 Let m(z) be the third derivative of -1/3*z**4 + 2/3*z**3 + 0*z + 8*z**2 - 1/60*z**5 - 14. Let x(n) = 8*n. Let g be x(-1). Calculate m(g). 4 Suppose -3*s = 4*h + 47, -4*s = -993*h + 996*h + 51. Let c(t) = 11*t + 27. Determine c(h). -28 Let h(s) = 7*s + 60*s**2 - 70*s**2 - 7 - 2*s**2 + s**3. Give h(11). -51 Suppose 0 = s + 5*n - 525 + 490, -7 = -5*s + 3*n. Let u(t) = 8*t - 4. Let l(x) = -2*x + 1. Let g(h) = -22*l(h) - 6*u(h). What is g(s)? -18 Let n be 27/1 - ((24 - 9) + -6). Let s(v) = v**2 - 20*v + 22. Determine s(n). -14 Let k(a) = 5*a - 4. Let m(h) = -2*h**2 + 5*h - 10. Let f be m(3). Let s(q) = -4*q - 55. Let v be s(f). Calculate k(v). -19 Let g(z) = 2949*z**2 + 2944*z**2 + 13*z - 12 - 5892*z**2. Determine g(0). -12 Let d(o) = -7*o**3 + 8*o**3 - 10*o**2 - 3 + 41 + 14 + 6. Give d(9). -23 Let s(n) = 119*n + 637. Let k(w) = 10*w + 54. Let p(i) = 35*k(i) - 3*s(i). What is p(-4)? 7 Let f(s) = s**2 + 2*s + 42 - 14*s - 18. Let k be f(3). Let w(i) = i**3 + 3*i**2 + 2*i + 4. Give w(k). -2 Let b(a) be the first derivative of -2*a**3/3 + a**2/2 + 4*a + 1383. Calculate b(4). -24 Let f(a) = -128*a - 23. Let p(y) = 822*y + 138. Let k(i) = 13*f(i) + 2*p(i). Calculate k(-4). 57 Let h(d) = 5*d**2 - 6*d**2 - 12*d + 18 - 15 - 12. What is h(-12)? -9 Let k be (8 - 41)*2/(-6). Let s(r) = r**3 - 12*r**2 + 12*r + 10. Calculate s(k). 21 Let k(w) = w**3 - 48*w**2 + 16*w + 2*w + 37*w**2 + 5*w - 5*w + 2. Determine k(9). 2 Suppose -7*n + 150 + 102 = 0. Suppose -12 = -8*m + n. Let k(j) = 6 - j + m*j - 2*j + j**2 + 4*j. Determine k(-4). -6 Let p(r) = 1441*r - 67731. Let g be p(47). Let z(u) = -2*u - 5. Let c(k) = 5*k + 15. Let s(d) = -3*c(d) - 8*z(d). Calculate s(g). -9 Let l(t) = 3 + 0 + 3*t + 0 - t**3 - 4*t**2. Suppose -189 = -9490*n + 9553*n. Give l(n). -15 Let g(a) = 5*a + 35. Suppose -v - 467*j = -472*j, -5*v + 5*j = 20. Give g(v). 10 Let z(d) = 2*d - 2. Let p(q) = -q**3 - 16*q**2 - q - 17. Let l be p(-16). Let a be (-6)/(-4) - (0 + l/2). Suppose n - 2*v + 7 = 19, 0 = 2*n + a*v. Give z(n). 6 Let s(k) = k**3 - 7*k**2 - 8. Let b be 120 + -2 - (0 + -4 + 3). Suppose 17*t - b = -0*t. Calculate s(t). -8 Let z(b) = -15*b - 3. Suppose -21*a + 19*a - 5 = -1. What is z(a)? 27 Let s(l) be the third derivative of 0*l + 0 - 157*l**2 + 1/6*l**3 + 23/24*l**4. What is s(-2)? -45 Let y(h) be the second derivative of h**5/20 - 5*h**4/12 + h**3/2 + 2*h**2 + 2*h. Suppose -38*u + 5639 - 5525 = 0. Give y(u). -5 Suppose 0 = m - 2, 2*d - 3*m - 40 = 58. Let j = 46 - d. Let i(o) = 4*o - 1. What is i(j)? -25 Let r(d) = d**2 - 10*d + 6. Let c(p) = p**3 - p**2 - 3*p + 3. Let j be c(0). Suppose j = -2*k - 3*b, -k - b - 1 = -0*b. Suppose k = m - 14 + 5. Determine r(m). -3 Let u(n) be the first derivative of -2*n**2 - 4*n - 58 + 2/3*n**3. Let r = 6 + -2. Give u(r). 12 Let g(w) be the first derivative of w**4/2 + 16*w**3/3 - 9*w - 1285. Give g(-8). -9 Suppose 0 = -2*h + 3*h - 4*j + 8, -2*h = -2*j - 2. Suppose a - 135 = -133. Let q(x) = -2*x + 6*x**2 - 2 - 9*x**2 - 3*x**a + 7*x**2. Give q(h). 6 Suppose 2*t - 3 = -4*z + 5, t + 2 = 0. Let k(l) be the first derivative of 4*l**3/3 + 5*l**2/2 - 3*l + 39474. Calculate k(z). 48 Let b(g) be the second derivative of -g**4/12 + g**3 - 2*g**2 + 35298*g. Let q(u) = u**3 - 2*u**2 - 2*u + 3. Let x be q(3). Determine b(x). -4 Let i = -334 + 402. Suppose -64*q + 68*q + i = 0. Let w(r) = r + 25. Give w(q). 8 Suppose 5*x - 77 = -n - 85, -4*n + 14 = -3*x. Let b(c) be the second derivative of -c**4/12 - c**3/6 + c**2 - 20*c. Give b(x). 0 Let l(x) = x**2 - 8*x + 4. Let j(y) = -y**3 - 14*y**2 - 25*y - 3. Let i be 3 - (-2 + 17 - 4) - 4. Let v be j(i). What is l(v)? 13 Suppose 0 = f - 5*f - 160. Suppose -103*s - 64*s + 6852 - 5 = 0. Let k = f + s. Let o(l) = 13*l**3 - 2*l + 1. What is o(k)? 12 Let s(j) = 1 - 1 - 2*j + 3*j. Suppose -4*w - 8 = -24. Suppose -w*k + 18 = 2*l, -4*k - 4*l + 24 = 8. What is s(k)? 5 Let f(j) be the third derivative of j**3 - 2*j**2 + 14 + 0*j - 1/24*j**4. Suppose 0*m - 2 = -m + 2*w, 0 = 3*w - 9. Give f(m). -2 Let r(f) = -f**2 + 7*f + 11. Let p(i) = 2*i**3 - 2*i - 8. Let t be p(-2). Let u(b) = b**2 + 26*b + 129. Let y be u(t). Give r(y). -7 Let g(k) = 6*k**2 - 376*k + 251. Let y be g(62). Let t(o) = -o + 8. Calculate t(y). 5 Let p(x) = x - 1. Suppose 0*u = 2*u - 58. Let b(v) = v**3 + 12*v**2 + 5*v + 38. Let l be b(-12). Let c = l + u. Determine p(c). 6 Let c = -9 + 436. Suppose 0 = -36*y + 41*y - 2115. Let b(k) = 2 - c*k - 2 + y*k. Give b(4). -16 Let a(i) = i**3 + 14*i**2 + 11*i + 11. Let w be a(-14). Let y = w - -139. Let c(k) = -k**2 - 2*k + 2. What is c(y)? -6 Let c(l) = -19*l + 7. Let o = 839 - 843. Let z(a) = 5*a - 1. Let b(r) = o*z(r) - c(r). What is b(-7)? 4 Let b(c) = -15*c - 3. Suppose -2*m - 26 + 18 = -q, 5*m = 2*q - 19. Calculate b(q). -33 Let j(o) = -o**3 + 68*o**2 + 56*o + 928. Let q be j(69). Let d(p) = -p**3 + 30*p**2 + 31*p - 1. Give d(q). -1 Suppose -4*d + 16 = -0*f + 2*f, 2*f - 2*d - 4 = 0. Let g be 3*f/(-66) - 14/(-77). Let y(x) = -2*x + 1. Determine y(g). 1 Let b(l) = l**2 + 8*l + 10. Suppose 59*y = 64*y - 30. Let q be -1*7 + (5 - y). What is b(q)? 10 Suppose -w - 120 = -4*u, -2*u + 5*w = -45 + 3. Let z(k) = 17 - u + 16 + k. Determine z(0). 2 Let n(w) = 15*w + 1. Let u(h) = 91*h + 3. Let r(k) = 6*n(k) - u(k). Suppose 3*j = 4*a + 21 + 18, 0 = 2*j - a - 26. Give r(j). -10 Let u(y) be the third derivative of 25*y**4/12 + 272*y**3/3 + 184*y**2. Determine u(-11). -6 Let z = -2601 - -2579. Let i(t) = t**3 + 23*t**2 + 21*t - 15. Calculate i(z). 7 Let d(n) be the third derivative of 0*n - 5/3*n**3 + 3*n**2 + 1/8*n**4 +
{ "pile_set_name": "DM Mathematics" }
many weeks are there in 1424156.013s? 2.3547553125 How many millilitres are there in 37/5 of a litre? 7400 What is 17/2 of a litre in millilitres? 8500 How many minutes are there in 1.282716 nanoseconds? 0.0000000000213786 How many kilograms are there in 0.2137923 nanograms? 0.0000000000002137923 What is 3/32 of a millennium in months? 1125 How many litres are there in 34.56142 millilitres? 0.03456142 What is thirteen quarters of a litre in millilitres? 3250 What is 894.8607ms in seconds? 0.8948607 How many millimeters are there in twenty-seven quarters of a meter? 6750 What is one twentieth of a tonne in grams? 50000 What is eleven quarters of a microgram in nanograms? 2750 How many centuries are there in 1/5 of a millennium? 2 Convert 80.26882 millilitres to litres. 0.08026882 How many microseconds are there in 38243.7 days? 3304255680000000 What is 5.972877 milligrams in grams? 0.005972877 What is two sevenths of a week in hours? 48 How many centuries are there in 7.737501 years? 0.07737501 How many months are there in twenty-seven quarters of a century? 8100 What is thirty-three fifths of a litre in millilitres? 6600 What is 60705.932 days in weeks? 8672.276 How many minutes are there in 1/5 of a week? 2016 What is 45/8 of a micrometer in nanometers? 5625 How many millimeters are there in 21/2 of a centimeter? 105 What is seven quarters of a day in minutes? 2520 Convert 3116.923ns to microseconds. 3.116923 How many months are there in 0.3286127 centuries? 394.33524 What is 11/2 of a millisecond in microseconds? 5500 What is 20.59526 milliseconds in seconds? 0.02059526 What is 77.60185 nanograms in grams? 0.00000007760185 How many kilograms are there in 29/2 of a tonne? 14500 How many months are there in 0.3021924 millennia? 3626.3088 What is one twentieth of a century in years? 5 Convert 224240.238ms to days. 0.002595373125 How many millimeters are there in one quarter of a meter? 250 Convert 711.076212ms to weeks. 0.00000117572125 Convert 941550.8 millilitres to litres. 941.5508 Convert 59.20747 decades to millennia. 0.5920747 What is 0.7378036 millennia in decades? 73.78036 What is five quarters of a litre in millilitres? 1250 How many millilitres are there in 64/5 of a litre? 12800 How many nanograms are there in 38953.95 kilograms? 38953950000000000 What is 1/36 of a day in minutes? 40 What is 1/4 of a milligram in micrograms? 250 How many micrograms are there in 49/5 of a milligram? 9800 Convert 3.491354 decades to millennia. 0.03491354 How many kilograms are there in 839.7203 nanograms? 0.0000000008397203 How many minutes are there in 18/5 of a day? 5184 What is 2.631866 decades in centuries? 0.2631866 How many centuries are there in 3032.405 millennia? 30324.05 How many micrograms are there in fourty-three halves of a milligram? 21500 How many milliseconds are there in 0.1927696 seconds? 192.7696 What is 0.0340371mg in nanograms? 34037.1 What is thirty-seven fifths of a centimeter in millimeters? 74 How many microseconds are there in 0.17028s? 170280 How many millilitres are there in 7/4 of a litre? 1750 What is 61.10802mg in nanograms? 61108020 How many months are there in 4/3 of a millennium? 16000 What is nineteen quarters of a litre in millilitres? 4750 What is 622705.4 litres in millilitres? 622705400 Convert 500650.7 decades to years. 5006507 What is 38614.79 millilitres in litres? 38.61479 How many seconds are there in twenty-three thirds of a minute? 460 How many milliseconds are there in 70648.88 days? 6104063232000 Convert 0.8470642 grams to micrograms. 847064.2 What is 0.1266129km in meters? 126.6129 Convert 845316.8cm to kilometers. 8.453168 What is seven thirds of a century in months? 2800 How many millimeters are there in one quarter of a meter? 250 Convert 2796526.2 months to years. 233043.85 How many grams are there in 3/40 of a tonne? 75000 What is 1054.947 decades in millennia? 10.54947 How many millennia are there in 257.2477 years? 0.2572477 Convert 57697.4mg to nanograms. 57697400000 Convert 730480.5kg to milligrams. 730480500000 Convert 0.4208405 kilometers to millimeters. 420840.5 What is seven thirds of a hour in minutes? 140 What is one tenth of a micrometer in nanometers? 100 What is 246808.3 kilograms in milligrams? 246808300000 What is 38.14438 weeks in milliseconds? 23069721024 How many grams are there in 4822.266ug? 0.004822266 How many millilitres are there in 3/5 of a litre? 600 How many milligrams are there in 3/5 of a gram? 600 How many milligrams are there in 0.9210099ng? 0.0000009210099 How many decades are there in 15.01889 years? 1.501889 How many millilitres are there in thirty-seven halves of a litre? 18500 Convert 51286.4nm to kilometers. 0.0000000512864 What is 5/24 of a week in hours? 35 How many months are there in 1/4 of a decade? 30 What is 55727.29 centuries in decades? 557272.9 What is 21/5 of a tonne in kilograms? 4200 How many meters are there in three fifths of a kilometer? 600 How many micrometers are there in twenty-seven fifths of a millimeter? 5400 How many nanograms are there in three fifths of a microgram? 600 What is seventeen halves of a minute in seconds? 510 How many millilitres are there in 3/10 of a litre? 300 Convert 8418.505 litres to millilitres. 8418505 How many litres are there in 689.3662 millilitres? 0.6893662 How many milliseconds are there in 6382.261 minutes? 382935660 Convert 7.003983 decades to centuries. 0.7003983 How many millilitres are there in 752955.8l? 752955800 Convert 0.4309971 micrometers to centimeters. 0.00004309971 Convert 7381.69 years to centuries. 73.8169 What is 4230364.5ms in hours? 1.17510125 Convert 0.3170543ng to milligrams. 0.0000003170543 How many millilitres are there in seven eighths of a litre? 875 Convert 863253.5 meters to nanometers. 863253500000000 How many meters are there in six fifths of a kilometer? 1200 How many micrometers are there in 8.030543mm? 8030.543 What is 0.843825 decades in years? 8.43825 What is 3/10 of a litre in millilitres? 300 How many months are there in one sixth of a decade? 20 What is 8.4274 meters in kilometers? 0.0084274 Convert 910.5777 nanometers to millimeters. 0.0009105777 How many months are there in 11/4 of a century? 3300 What is 97497.44 grams in nanograms? 97497440000000 Convert 86.31492 decades to centuries. 8.631492 What is 0.6324507 millilitres in litres? 0.0006324507 How many microseconds are there in 6.425957 milliseconds? 6425.957 Convert 22586.98nm to meters. 0.00002258698 What is 19368.27 millennia in months? 232419240 How many months are there in 2/15 of a century? 160 How many months are there in thirty-seven fifths of a century? 8880 What is 6/5 of a litre in millilitres? 1200 How many milligrams are there in thirty-two fifths of a gram? 6400 How many months are there in 33/5 of a century? 7920 How many meters are there in 0.7833998 kilometers? 783.3998 How many minutes are there in eleven tenths of a week? 11088 What is 1/16 of a centimeter in micrometers? 625 What is one tenth of a litre in millilitres? 100 What is seventeen quarters of a microgram in nanograms? 4250 How many minutes are there in 19/4 of a hour? 285 What is one twentieth of a millisecond in microseconds? 50 Convert 0.0696964mm to kilometers. 0.0000000696964 What is 27616.929 milliseconds in minutes? 0.46028215 How many millimeters are there in 47/4 of a meter? 11750 What is 79.94949 kilometers in meters? 79949.49 What is fifty-three quarters of a decade in months? 1590 What is eleven halves of a gram in milligrams? 5500 How many nanograms are there in 5/4 of a microgram? 1250 What is 21/4 of a microgram in nanograms? 5250 What is 9/10 of a kilometer in meters? 900 Convert 366425.8 millimeters to kilometers. 0.3664258 How many millimeters are there in 5/8 of a meter? 625 What is seven quarters of a kilometer in meters? 1750 What is 1/24 of a century in months? 50 What is 3/16 of a centimeter in micrometers? 1875 How many nanograms are there in 32/5 of a microgram? 6400 What is 4/3 of a day in hours? 32 How many hours are there in two sevenths of a week? 48 What is 8974.384 days in milliseconds? 775386777600 What is 2735.241 years in decades? 273.5241 What is 1.108133ng in grams? 0.000000001108133 What is 20600
{ "pile_set_name": "DM Mathematics" }
e of 16? False Is 400 a multiple of 25? True Does 128 divide 384? True Is 65856 a multiple of 96? True Does 16 divide 18376? False Does 81 divide 9656? False Does 21 divide 177? False Is 13286 a multiple of 26? True Does 15 divide 254? False Is 21525 a multiple of 35? True Does 11 divide 461? False Is 2009 a multiple of 6? False Does 276 divide 9507? False Is 121 a multiple of 7? False Is 2833 a multiple of 35? False Is 494 a multiple of 19? True Does 79 divide 2449? True Does 12 divide 1596? True Is 6 a factor of 1068? True Does 3 divide 47? False Is 1190 a multiple of 35? True Does 25 divide 554? False Is 4 a factor of 2334? False Does 6 divide 9804? True Is 4715 a multiple of 23? True Does 3 divide 533? False Is 2166 a multiple of 114? True Is 1380 a multiple of 4? True Does 26 divide 12038? True Is 8553 a multiple of 3? True Is 6 a factor of 10893? False Is 39 a factor of 2579? False Does 205 divide 15520? False Is 40 a factor of 11480? True Is 6440 a multiple of 35? True Does 149 divide 54832? True Is 1102 a multiple of 18? False Is 6862 a multiple of 73? True Is 13024 a multiple of 74? True Is 36 a factor of 73935? False Is 13 a factor of 12584? True Does 8 divide 1976? True Is 60 a multiple of 12? True Is 6 a factor of 372? True Is 15 a factor of 129375? True Does 41 divide 820? True Does 37 divide 35790? False Is 7378 a multiple of 17? True Does 8 divide 9032? True Does 21 divide 6384? True Is 11583 a multiple of 143? True Is 552 a multiple of 20? False Is 17 a factor of 102? True Is 893 a multiple of 47? True Is 4 a factor of 5152? True Does 25 divide 310? False Is 2 a factor of 1745? False Is 18342 a multiple of 9? True Is 149 a factor of 71222? True Does 57 divide 1710? True Does 11 divide 1273? False Is 7700 a multiple of 19? False Does 7 divide 1355? False Is 48 a factor of 4044? False Is 260 a multiple of 13? True Does 9 divide 7776? True Is 268 a multiple of 2? True Does 13 divide 10696? False Is 16342 a multiple of 12? False Does 29 divide 3496? False Is 14831 a multiple of 20? False Is 1012 a multiple of 23? True Does 33 divide 11187? True Is 39634 a multiple of 133? True Is 15 a factor of 324? False Is 5536 a multiple of 16? True Is 43 a factor of 15609? True Is 2658 a multiple of 26? False Does 72 divide 5112? True Is 7729 a multiple of 18? False Is 111 a factor of 8103? True Is 2023 a multiple of 53? False Does 18 divide 1479? False Does 19 divide 39482? True Is 44 a factor of 1122? False Is 5 a factor of 885? True Is 74 a factor of 1033? False Does 8 divide 312? True Is 53 a factor of 1997? False Does 166 divide 11620? True Does 5 divide 68? False Is 86 a factor of 946? True Does 87 divide 1655? False Is 1296 a multiple of 48? True Is 5193 a multiple of 3? True Does 3 divide 297? True Is 2 a factor of 157? False Is 1777 a multiple of 10? False Does 11 divide 1452? True Is 101 a factor of 35451? True Is 52 a factor of 2626? False Is 2384 a multiple of 105? False Is 4598 a multiple of 22? True Is 41 a factor of 10414? True Is 12071 a multiple of 36? False Is 31 a factor of 79772? False Is 5928 a multiple of 38? True Is 30 a factor of 2158? False Is 14 a factor of 558? False Is 62001 a multiple of 9? True Does 10 divide 801? False Is 5 a factor of 32950? True Does 11 divide 2143? False Is 60 even? True Is 1306 a multiple of 47? False Is 3042 a multiple of 4? False Is 3333 a multiple of 101? True Does 47 divide 2434? False Is 12972 a multiple of 23? True Is 104 a factor of 10712? True Is 142 a factor of 4260? True Is 68 a factor of 915? False Is 85 a factor of 1700? True Is 47403 a multiple of 229? True Is 1261 a multiple of 32? False Is 74 a factor of 4928? False Is 9114 a multiple of 16? False Does 165 divide 23430? True Does 9 divide 130? False Is 75 a multiple of 3? True Does 23 divide 584? False Is 164 a factor of 3444? True Is 198 a multiple of 81? False Is 4 a factor of 805? False Does 40 divide 4160? True Is 440 a multiple of 44? True Is 43 a factor of 4944? False Does 11 divide 1100? True Is 4307 a multiple of 59? True Does 54 divide 69930? True Is 1567 a multiple of 25? False Does 64 divide 5184? True Does 29 divide 78? False Is 304 a multiple of 11? False Is 104711 a multiple of 45? False Is 11 a factor of 1470? False Is 431 a multiple of 27? False Is 86315 a multiple of 92? False Is 88 a factor of 5368? True Is 19 a factor of 11913? True Does 35 divide 17220? True Does 29 divide 773? False Does 73 divide 3650? True Is 24 a factor of 47? False Is 41 a factor of 12669? True Does 10 divide 29610? True Does 4 divide 757? False Is 5148 a multiple of 55? False Is 1535 a multiple of 22? False Does 170 divide 3400? True Does 6 divide 24? True Is 34 a factor of 5326? False Does 158 divide 19924? False Is 20 a factor of 760? True Is 1658 a multiple of 41? False Is 10 a factor of 2700? True Does 40 divide 3040? True Is 11 a factor of 9658? True Is 66209 a multiple of 143? True Does 5 divide 3673? False Is 171 a multiple of 19? True Is 18 a factor of 270? True Does 21 divide 504? True Is 433 a multiple of 11? False Does 150 divide 27450? True Is 9944 a multiple of 67? False Does 22 divide 9597? False Is 2293 a multiple of 105? False Is 125 a factor of 111250? True Is 22356 a multiple of 207? True Is 6345 a multiple of 12? False Is 46 a factor of 10777? False Is 9 a factor of 131? False Does 8 divide 2375? False Is 840 a multiple of 30? True Does 38 divide 9272? True Is 44 a factor of 1752? False Does 31 divide 100090? False Is 17 a factor of 652? False Is 191 a factor of 2768? False Is 7 a factor of 1589? True Is 244 a multiple of 31? False Does 39 divide 3540? False Is 34 a factor of 374? True Is 7429 a multiple of 6? False Is 44489 a multiple of 17? True Is 55 a factor of 12045? True Is 31221 a multiple of 126? False Is 5910 a multiple of 5? True Is 5 a factor of 453? False Is 88 a multiple of 5? False Does 32 divide 320? True Does 3 divide 10? False Is 31 a factor of 8728? False Is 250 a factor of 9328? False Does 25 divide 2050? True Is 331 a multiple of 4? False Is 134 a factor of 91440? False Is 1259 a multiple of 88? False Does 74 divide 5180? True Does 28 divide 22973? False Is 23 a factor of 2283? False Is 51 a factor of 5049? True Is 285 a multiple of 3? True Does 48 divide 451? False Is 290 a multiple of 58? True Is 75 a factor of 26475? True Does 18 divide 176? False Is 8 a factor of 1093? False Does 176 divide 10269? False Is 4800 a multiple of 100? True Is 12208 a multiple of 14? True Is 17 a factor of 2462? False Does 3 divide 115? False Is 19 a factor of 7238? False Is 42878 a multiple of 44? False Is 65520 a multiple of 84? True Is 1022 a multiple of 52? False Is 5759 a multiple of 9? False Is 4221 a multiple of 7? True Is 36812 a multiple of 69? False Is 3 a factor of 5360? False Is 65 a multiple of 13? True Is 7 a factor of 13860? True Is 6 a factor of 6792? True Does 21 divide 1729? False Does 4 divide 1312? True Is 9 a factor of 1083? False Is 146 a factor of 37905? False Is 9280 a multiple of 160? True Is 92 a factor of 10672? True Is 33448 a multiple of 74? True Does 9 divide 1575? True Is 19497 a multiple of 46? False Does 163 divide 12535? False Does 4 divide 1694? False Is 13 a factor of 8463? True Does 3 divide 11243? False Is 5 a factor of 6569? False Is 589 a multiple of 40? False Is 7976 a multiple of 39? False Does 43 divide 6577? False Is 488 a multiple of 27? False Is 54004 a multiple of 23? True Is 19968 a multiple of 32? True Does 9 divide 17388? True Does 42 divide 4609? False Is 66 a multiple of 6? True Does 136 divide 3654? False Is 26 a factor of 1534? True Does 4 divide 309? False Is 56 a multiple of 4? True Is 16 a factor of 1296? True Does 117 divide 43758? True Is 60 a multiple of 15? True Is 7 a factor of 1280? False Is 2481 a multiple of 14? False Does 32 divide 108? False Does 50 divide 300? True Is 71 a factor of 1207? True Does 86 divide 12046? False Is 1131 a multiple of 12? False Is 17880 a multiple of 47? False Is 21 a factor of 676? False Does 21 divide 41800? False Is 6 a factor of 5555? False Is 20 a factor of 1340? True Is 54 a factor of 886? False Is 2 a factor of 149? False Does 90 divide 3525? False Is 190 a factor of 383? False Is 12 a factor of 1488? True Is 12 a
{ "pile_set_name": "DM Mathematics" }
2. -3*g**2 - 2*g Collect the terms in 114*k + 2 - 14 + 183*k - 98*k + 10. 199*k - 2 Collect the terms in -334*l - 315*l - 447*l + 433*l - 407*l. -1070*l Collect the terms in -153*p - 151*p - 153*p - 156*p - 155*p + 773*p. 5*p Collect the terms in -269*j + 269*j + 208*j**2 - 210*j**2. -2*j**2 Collect the terms in -370 + 370 + 323*k. 323*k Collect the terms in -166*q**2 + 42*q**2 + 42*q**2 + 50*q**2 + 23*q**2. -9*q**2 Collect the terms in 40 - 74*k - 23 - 17 + 60*k. -14*k Collect the terms in 10824 - 2*c - 10826 + 97*c. 95*c - 2 Collect the terms in 6*z**2 + 67*z - 67*z + 3*z**2 - 5*z**2 + z**2. 5*z**2 Collect the terms in 38*u**3 - 109*u**3 + 48*u**3 - 2*u. -23*u**3 - 2*u Collect the terms in 26*w**2 - 150*w**2 + 1 + 64*w**2 + 75*w**2. 15*w**2 + 1 Collect the terms in -36*w + 41*w + 278 - 278. 5*w Collect the terms in -91*p - 27 + 475*p + 493*p. 877*p - 27 Collect the terms in -2*r**3 + 4400*r**2 - 4400*r**2 + 448. -2*r**3 + 448 Collect the terms in 3*u - 24*u**3 - 3*u - 20*u**3 - 52*u**3 + 27*u**3. -69*u**3 Collect the terms in -19*v**3 - 19*v**2 - 15*v**3 + 21*v**2 - 2*v**2. -34*v**3 Collect the terms in 6140*k - 438*k - 5704*k. -2*k Collect the terms in 0 + 2 + 1 - 37*m**2 + 0 - 217*m**2. -254*m**2 + 3 Collect the terms in 811*w**3 + 12611*w**2 - 12611*w**2. 811*w**3 Collect the terms in 37*r**2 + 30*r**2 - 143*r**2 + 34*r**2 + 27*r**2. -15*r**2 Collect the terms in -672*g**3 + 706*g**3 - 35*g**3. -g**3 Collect the terms in -63*j + 64*j + 595 - 1214 + 619. j Collect the terms in -289*v + 3*v**2 - 3766 + 3766. 3*v**2 - 289*v Collect the terms in 13*j**3 + 5375 - 1339 - 1342 - 1345 - 1349. 13*j**3 Collect the terms in -4290*i + 56*i**2 + 4296*i - 39*i**2. 17*i**2 + 6*i Collect the terms in 131 + 29*f**2 - 131 + 6*f**2. 35*f**2 Collect the terms in -75*t + 203*t - 171*t. -43*t Collect the terms in -37*c - 17*c - 6*c**2 + 16*c + 4*c**2 - c**2. -3*c**2 - 38*c Collect the terms in 2*k**2 + 6999607 + 7*k**2 - 6999607. 9*k**2 Collect the terms in 2*y**3 + 718*y - 1033*y + 4*y**2 + y**3. 3*y**3 + 4*y**2 - 315*y Collect the terms in -712100*r**2 + 0 + 0 + 712039*r**2. -61*r**2 Collect the terms in 2255752*r - 2255752*r - 5*r**3. -5*r**3 Collect the terms in -287292*b - 13*b**3 + 287292*b. -13*b**3 Collect the terms in -72 - 71 + 5*j - 69 + 212. 5*j Collect the terms in -2*k + 2 - 2*k + 0*k - 2*k. -6*k + 2 Collect the terms in -887 - y**3 - 4*y**3 + 4*y**3 + 5*y**3. 4*y**3 - 887 Collect the terms in -56035 + 112041 - 2*r**2 - 56006. -2*r**2 Collect the terms in -42*p**2 + 22*p**2 + 14*p**3 + 20*p**2. 14*p**3 Collect the terms in -184*u**2 - 286*u**2 + 750*u**2 - 292*u**2. -12*u**2 Collect the terms in -176*t**2 + 86*t**2 + 8*t + 94*t**2. 4*t**2 + 8*t Collect the terms in 8883*g - 8883*g + 3*g**2. 3*g**2 Collect the terms in 5780*t + 6*t**3 - 7*t**3 - 2894*t - 2903*t + 0*t**3. -t**3 - 17*t Collect the terms in 0 + 0 + 150377*k - 150365*k. 12*k Collect the terms in -315*p + 672*p - 358*p. -p Collect the terms in -14*z**3 + 37082*z**2 - 37082*z**2. -14*z**3 Collect the terms in 5386*k - 5395*k - 1 + 1. -9*k Collect the terms in 14 - v**2 + 49 + 2*v - 14. -v**2 + 2*v + 49 Collect the terms in 59*m + 32*m - 176*m + 92*m. 7*m Collect the terms in 2420*d**2 - 610*d**2 - 601*d**2 - 604*d**2 - 603*d**2. 2*d**2 Collect the terms in 447*x**2 - 2127*x**2 + 68*x - 68*x. -1680*x**2 Collect the terms in 3*b - b + 2*b - 9*b + 5*b + 14*b**2. 14*b**2 Collect the terms in 1643616*c + 30 - 14 - 1643617*c - 16. -c Collect the terms in -3 + 1 + 3 + 7*o - 7. 7*o - 6 Collect the terms in 2*d - 776958 + 776958. 2*d Collect the terms in -5*k + 271413 - 271413 - 6*k. -11*k Collect the terms in -11*g**2 - 56711 + 0*g**2 + 56711. -11*g**2 Collect the terms in 28640986*t + 47*t**2 - 28640986*t. 47*t**2 Collect the terms in -22*x + 49 + 13*x - 49 + 9*x + 8*x**3. 8*x**3 Collect the terms in 42 - 17 - 43 - 20*y + 18. -20*y Collect the terms in 8*w**3 - 35*w**3 + 14*w**3 + 20*w**3. 7*w**3 Collect the terms in 166935*j**3 - j**2 + 127391*j**3 + j**2. 294326*j**3 Collect the terms in 37*u - 143*u + 40*u + 24*u - 5*u**2 + 42*u. -5*u**2 Collect the terms in -4*u - 348*u**2 + 4*u + 2529*u**2. 2181*u**2 Collect the terms in -18*s**2 + 8*s**2 + 6*s**2 + 0*s**2 + 8*s**2. 4*s**2 Collect the terms in 1125*q**2 - 3316*q**2 + 1098*q**2 + 1095*q**2. 2*q**2 Collect the terms in 32*b**2 - 16*b**2 - 16*b**2 + 1555*b**3. 1555*b**3 Collect the terms in 4340*u - 1839*u - u**2 - 2501*u. -u**2 Collect the terms in -3*v - 1488 - 2868 - 5984 - 3*v. -6*v - 10340 Collect the terms in -2*p**2 - 368*p**2 + 7*p**2 - 156*p**2. -519*p**2 Collect the terms in -521508 + 521508 - 3*f**3 - 6*f**3. -9*f**3 Collect the terms in -2*b**2 + 3*b**2 - 331 + 331 - 3222*b. b**2 - 3222*b Collect the terms in -20*b**3 + 101748*b - 101748*b. -20*b**3 Collect the terms in -9*x**3 + 30*x**3 + 86*x**3 + 2*x - 2*x. 107*x**3 Collect the terms in 3*n + 9*n + 22*n**2 - 22*n + 10*n. 22*n**2 Collect the terms in 3*m - 4*m - 220121 + 6*m + 220121. 5*m Collect the terms in 7*g - 8 + 27 - 6 + 57*g**3 - 14. 57*g**3 + 7*g - 1 Collect the terms in -7266*o**2 - 8845*o**2 - 54746*o**2. -70857*o**2 Collect the terms in -15267 - 2*g**2 + 181 - g**2. -3*g**2 - 15086 Collect the terms in -13 + 11 - 8 + y + 10. y Collect the terms in -85 + p**2 - 580*p + 580*p + 2*p**2 - 160. 3*p**2 - 245 Collect the terms in 80*g - 107*g + 4 - 175*g + 0. -202*g + 4 Collect the terms in -5*j**3 + 1 + 213*j**3 - 1. 208*j**3 Collect the terms in 2991*z - 21*z**2 - 2991*z + 3 - 3. -21*z**2 Collect the terms in -381*l + 116*l - 1 + 0. -265*l - 1 Collect the terms in 316*m + 210*m - 385*m. 141*m Collect the terms in 1965*q - 5892*q - 5658*q. -9585*q Collect the terms in -193*n**3 + 275*n**3 + 549*n**3 + 293*n**3. 924*n**3 Collect the terms in 29*a + 674 - 361 - 313. 29*a Collect the terms in -7*h**3 - 1667940*h**2 + 1667940*h**2. -7*h**3 Collect the terms in 6*o - 588 + o**3 + 588 - 6*o + 6*o**2. o**3 + 6*o**2 Collect the terms in l**2 + 7*l**2 - 5*l**2 + 6*l**2. 9*l**2 Collect the terms in 76*c**2 + 207*c**3 - 76*c**2. 207*c**3 Collect the terms in -32*j - 30*j + 135*j - 50*j - 24*j. -j Collect the terms in 104*m + 108*m + 93*m - 286*m - 9*m**3 + m**3. -8*m**3 + 19*m Collect the terms in 42*j + 5360 - 5360 - 42*j - 6*j**2. -6*j**2 Collect the terms in -673*t - 665*t + 1345*t - 3*t**2. -3*t**2 + 7*t Collect the terms in 5038*j**3 - 2513*j**3 - 2978*j**3. -453*j**3 Collect the terms in -92*t - 98*t - 100*t - 3327*t**2 + 290*t. -3327*t**2 Collect the terms in -42 - 92 + 59 - 13 - 2*x - 6. -2*x - 94 Collect the terms in -4563*s + 10736 - 10736 + 4565*s. 2*s Collect the terms in 3*b**2 - 2*b**2 - 16*b - 2*b**2 - b + 7*b**2. 6*b**2 - 17*b Collect the terms in 55549 + i**3 + 0*i**3 - 55549. i**3 Collect the terms in -1 - 310*n**2 + 632*n**2 + 1 - 37*n**3 - 326*n**2. -37*n**3 - 4*n**2 Collect the terms in -53*s**2 - 187*s**2 - 22*s**2 + 369*s - 369*s. -262*s**2 Collect the terms in -39*o**2 - 26*o**2 - 30*o**2 + 103*o**2. 8*o**2 Collect the terms in -6*g + 6 - g**2 + 4*g**2 - 9*g + 108. 3*g**2 - 15*g + 114 Collect the terms in -822*c**3 - 1661*c**3 + 196*c**3 - 1863*c**3. -4150*c**3 Collect the terms in -2136*z - 2143*z - 2145*z - 2144*z - 2140*z + 10702*z. -6*z Collect the terms in g - 6749664 + 3374863 + 3374801. g Collect the terms in -36*t**3 - 35*t**3 + 1 + 66*t**3 - 3 + 2899*t. -5*t**3 + 2899*t - 2 Collect the terms in -23*o - o + 7*o + 8*o + 5*o. -4*o Collect the terms in 29 + 391*o**2 - 78 + 49. 391*o**2 Collect the terms in -j - j + 5*j + 137*j**3. 137*j**3 + 3*j Collect the terms in -126*r**2 - 526*r**2 - 945*r**2 - 376*r**2. -1973*r**2 Collect the terms in 1311*g**2 - 25*g - 21 - 1310*g**2 + 21. g**2 - 25*g Collect the terms in 41 + 73*t**2 + 4*t**3 - 91*t**2 + 18*t**2. 4*t**3 + 41 Collect the terms in 5*q - 190 + 383 - 21*q**2 - 5*q - 191. -21*q**2 + 2 Collect the terms in -88*h**2 + 448*h**2 - 532*h**2 - 422*h**2 - 1020*h**2. -1614*h**2 Collect the terms in 744 - 744 - 1700*r. -1700*r Collect the terms in -5 + 57470*p + 5 - 7*p**2 - 57470*p. -7*p**2 Collect the terms in 1344*u**2 - 2715*u**2 + 1327*u**2. -44*u**2 Collect the terms in 6 - 12*j - 6 - 8*j - 4*j + 23*j. -j Collect the terms in 15*r**2 - 146 - 4*r**2 + 146 + 65*r**3. 65*r**3 + 11*r**2 Collect the term
{ "pile_set_name": "DM Mathematics" }
- 1/70*t**6 - 19*t + 1/4*t**4. Factor s(x). -3*x*(x - 1)**2*(x + 4)/7 Suppose 88*d - 210 = 54. Let j(v) be the second derivative of 0 - 1/54*v**4 + 2/27*v**d - 1/9*v**2 - 12*v. Factor j(n). -2*(n - 1)**2/9 Let c(x) = x**2 - 58*x - 59. Let f be c(59). Let r(o) be the third derivative of 0 + f*o - 1/8*o**4 + 0*o**3 + 0*o**5 + 4*o**2 + 1/40*o**6. Factor r(z). 3*z*(z - 1)*(z + 1) Let k(d) be the third derivative of -d**6/240 - d**5/72 + 7*d**4/24 - 10*d**3/9 + 686*d**2. Determine x, given that k(x) = 0. -5, 4/3, 2 Let j(q) = -36*q + 399. Let l be j(11). Find y, given that 0*y**2 + 4/7*y**l - 4/7*y + 0 = 0. -1, 0, 1 Let j(r) be the third derivative of r**8/112 + r**7/5 + 23*r**6/40 - 7*r**5/10 - 3*r**4 + 641*r**2. Find d, given that j(d) = 0. -12, -2, -1, 0, 1 Let h(s) = -7*s**2 - 1. Let a be h(-1). Let z be 0 + (a/(-2) - 1). Factor 4*l**2 - 5*l**3 + 5*l**3 + 0*l**z + 4*l**3. 4*l**2*(l + 1) Factor -1044/7*f - 658503/7*f**3 + 8/7 + 45414/7*f**2. -(87*f - 2)**3/7 Let f(h) be the third derivative of -h**5/360 + 5*h**4/6 - 100*h**3 - 324*h**2. Let f(s) = 0. What is s? 60 Let y = 14/41 - 89/861. Let k = 1/21 + y. Determine h so that -4/7*h**3 + k*h**4 + 2/7*h + 2/7 + 2/7*h**5 - 4/7*h**2 = 0. -1, 1 Let w be (-14)/(-7) + 212/2. Factor 2*y**3 + 4*y**2 + w - 108 + 2*y. 2*y*(y + 1)**2 Let v(p) = -141*p - 842. Let i be v(-6). Solve 0*g + 2/11 + 2/11*g**i - 4/11*g**2 + 0*g**3 = 0 for g. -1, 1 Let r(i) = -i**2 - i + 1. Suppose 0 = 4*w - w - 9. Let s(o) = w + 0*o - 2*o**2 + o + 5. Let n(v) = 5*r(v) - s(v). Solve n(b) = 0 for b. -1 Let c(u) = -104*u**3 - 2 + 1 + u + 103*u**3. Let p(i) = 18*i**4 + 82*i**3 - 166*i**2 + 78*i - 8. Let s(m) = -4*c(m) - p(m). Let s(a) = 0. Calculate a. -6, 1/3, 1 Factor 0*m + 0 + 32*m**3 + 156/5*m**2 + 4/5*m**4. 4*m**2*(m + 1)*(m + 39)/5 Solve 0 + 8/7*f**2 + 2/7*f**3 + 6/7*f = 0 for f. -3, -1, 0 Suppose -5*n = 4*p - 26, -4*p - 165*n + 169*n + 8 = 0. Find x such that 3/8*x + 3/4*x**2 - 3/8*x**5 + 0*x**3 - 3/4*x**p + 0 = 0. -1, 0, 1 Let h(f) = 14*f**2 + 716*f - 710. Let z(c) = -4*c**2 - 238*c + 236. Let m(w) = 3*h(w) + 10*z(w). Factor m(a). 2*(a - 115)*(a - 1) Suppose -k - g = -8, -14 - 53 = -4*k + 3*g. Factor -3*t**2 + 11*t**3 - 23*t**3 + k*t**3. t**2*(t - 3) Let u(s) be the second derivative of 1/10*s**5 + 0*s**2 + 1/3*s**4 + 1/3*s**3 - 20*s + 0. Let u(h) = 0. Calculate h. -1, 0 Factor 2/5*l**2 - 112*l + 7840. 2*(l - 140)**2/5 Let k = -7479 - -82275/11. Let 6/11*a - 4/11*a**3 - 2/11 - 2/11*a**5 + k*a**4 - 4/11*a**2 = 0. What is a? -1, 1 Suppose 135*t = 139*t. Let h(o) be the second derivative of 0 + 1/6*o**3 + t*o**2 - 7*o + 1/60*o**5 + 1/9*o**4. Factor h(z). z*(z + 1)*(z + 3)/3 Let l = -92 + 95. Factor 4*j**l + j**2 - 3*j**3 - 2*j**3 + j**2 - 2*j**4 + j**5. j**2*(j - 2)*(j - 1)*(j + 1) Let k(v) = 22*v - 524. Let b be k(24). Let g(y) be the third derivative of 0*y + 4/21*y**3 + 1/210*y**5 + 0 - 1/21*y**b - 4*y**2. Factor g(d). 2*(d - 2)**2/7 Let m be 0/(-2) - (-9)/1. Factor 12*n**2 - m + 3 - 4*n - 6 + 4*n**3. 4*(n - 1)*(n + 1)*(n + 3) Let v(a) be the second derivative of -a**8/20160 + a**6/180 + 2*a**5/45 - 13*a**4/6 + 30*a. Let z(t) be the third derivative of v(t). Factor z(c). -(c - 4)*(c + 2)**2/3 Suppose -3*c - 26 = -5*r, -c - 5 = 2*r - 11. Let g(u) be the first derivative of 1/6*u**2 - 1/9*u**3 + r + 1/3*u - 1/12*u**4. Factor g(b). -(b - 1)*(b + 1)**2/3 Let q be ((-8)/(-24))/(6/9 + (-16)/33). Factor 0 - q*v**2 - v**3 - 1/6*v**4 - v. -v*(v + 1)*(v + 2)*(v + 3)/6 Factor 32*j**3 + 13*j**2 + 20*j**2 - 28*j**3 + 11*j**2. 4*j**2*(j + 11) Let x be (2 - 3)*6 + 0. Let l be ((-8)/x)/(6/9). Factor 6 + 0*o**2 - 3*o**l - 3*o + 0. -3*(o - 1)*(o + 2) Suppose 0 = -5*c + 5*k - 15, 3*k = -c - 11 - 0. Let b(m) = 25*m**2 - 15*m - 5. Let z(x) = -13*x**2 + 8*x + 3. Let n(f) = c*z(f) - 2*b(f). Factor n(w). 5*(w - 1)*(3*w + 1) Let h(k) = -k**3 - 7*k**2 + 3*k - 8. Let p be h(-7). Let y = p + 34. Factor -3*r**3 - 5*r**2 - 2*r + y*r**3 + 5*r**2 + r**4 - r**2. r*(r - 1)*(r + 1)*(r + 2) Suppose 0 = -6*a + 519 + 375. Let p = -141 + a. Factor p*g**3 - 7/2*g - 4*g**2 - 1/2. (g - 1)*(4*g + 1)**2/2 Let x(a) = 9*a**2 + 15*a - 99. Let j(s) = s**2 + 2*s - 12. Let c(y) = -33*j(y) + 4*x(y). Factor c(k). 3*k*(k - 2) Let m(l) be the second derivative of l**6/180 - l**5/60 - l**4/6 + 7*l**3/6 + 4*l. Let d(q) be the second derivative of m(q). Determine g so that d(g) = 0. -1, 2 Factor -48 + 792*d**2 - 402*d**2 - 310*d**2 - 272*d - 332*d**2. -4*(7*d + 6)*(9*d + 2) Factor w - 57*w**2 + 6*w**3 + 3*w**4 - 8*w - 60*w**3 + 7*w. 3*w**2*(w - 19)*(w + 1) Let n = 29 + 1. Let w be 14/n + (-5)/(-25). Factor w*v**2 + 2/3*v + 0. 2*v*(v + 1)/3 Let o(y) be the second derivative of 1/63*y**7 + 0*y**2 - 1/27*y**4 + 7/90*y**5 - 8/135*y**6 + 6*y + 0*y**3 + 0. Let o(v) = 0. What is v? 0, 2/3, 1 Let h(c) = -5*c**2 + 31*c + 11. Let p be (-2*28/(-8))/1. Let w = p + -9. Let l(q) = -q**2 + 6*q + 2. Let a(t) = w*h(t) + 11*l(t). Solve a(v) = 0 for v. 0, 4 Let d(t) = -t**3 - 3*t**2 + 2*t. Let y be d(-3). Let i be (-174)/9*y/4. Factor -2*u**2 - i*u - 3*u + 64 + 2*u**2 + 4*u**2. 4*(u - 4)**2 Let l(c) be the first derivative of c**6/18 + 2*c**5/15 - 9*c**4/4 - 12*c**3 - 18*c**2 + 436. Factor l(q). q*(q - 6)*(q + 2)*(q + 3)**2/3 Let z(t) be the first derivative of -t**3/3 + t**2/2 + 2*t + 66. Factor z(h). -(h - 2)*(h + 1) Let j(d) be the first derivative of -d**8/4200 + d**7/300 - 25*d**3/3 + 14. Let z(x) be the third derivative of j(x). Suppose z(u) = 0. Calculate u. 0, 7 Let a(n) = 2*n**2 - 18*n + 41. Let v be a(6). Factor 3/7*c**v + 6/7*c**3 - 9/7*c**4 - 9/7*c + 6/7*c**2 + 3/7. 3*(c - 1)**4*(c + 1)/7 Let h(z) be the first derivative of 4*z**3/3 + 262*z**2 + 1032*z - 599. Solve h(v) = 0. -129, -2 Let s(b) be the third derivative of 0*b - 1/18*b**4 + 2/45*b**5 - 1/210*b**7 + 0 - 1/360*b**6 - 38*b**2 + 0*b**3. Factor s(t). -t*(t - 1)*(t + 2)*(3*t - 2)/3 Find l such that 71/6 - 35/3*l - 1/6*l**2 = 0. -71, 1 Let s(j) = -6*j**4 + 2*j**3 - 2*j**2 + 6. Let t(b) = b**2 - 1. Let v(k) = s(k) + 6*t(k). Factor v(n). -2*n**2*(n - 1)*(3*n + 2) Let p(g) be the second derivative of 1/6*g**6 + 10*g**4 + g - 5/2*g**5 + 0 - 55/3*g**3 + 35/2*g**2. Suppose p(c) = 0. Calculate c. 1, 7 Suppose 4*n = 7*n - 54. Let q be 14/(-21) + 0 + 20/n. Find d such that 0*d + 2/9*d**4 + 2/9 - q*d**2 + 0*d**3 = 0. -1, 1 Suppose -56*w - 22 + 4*w**4 - 2 - 12*w**2 - 22 + 16*w**3 + 14 = 0. Calculate w. -4, -1, 2 Suppose -9*y + 18 = 2*k - 12*y, 5*y = k - 30. Let 0*f**2 + 2/11*f**5 + 0*f**3 + k + 0*f + 0*f**4 = 0. What is f? 0 Let w be (5/1 - 2) + 0. Factor -9*d**3 - 78*d + 3 + 23*d - 26*d**w + 7 + 80*d**2. -5*(d - 1)**2*(7*d - 2) Let d(a) be the third derivative of a**7/105 - a**6/15 - a**5/30 + 4*a**4/3 - 4*a**3 - 2*a**2 - 33. Solve d(m) = 0. -2, 1, 2, 3 Let v = 8353 + -8351. Let -24/5*o**v - 3/5 - 12/5*o**3 - 3*o = 0. What is o? -1, -1/2 Let c(p) be the third derivative of p**6/90 + p**5/30 - p**4/3 + 8*p**3/3 + 3*p**2. Let n(z) be the first derivative of c(z). Let n(m) = 0. Calculate m. -2, 1 Let m(r) = 2*r**4 - 16*r**3 + 22*r**2 - 2*r + 6. Let o(y) = y**3 - y**2 - y - 1. Let s(a) = -m(a) - 6*o(a). Factor s(j). -2*j*(j - 2)**2*(j - 1) Let c(d) = -23*d**2 - 157*d - 254. Let k(a) = -15*a**2 - 105*a - 170. Let t(u) = -5*c(u) + 8*k(u). Suppose t(z) = 0. Calculate z. -9, -2 Let b be -1 + ((-33)/(-18) + 1)*27. Let d = b - 71. Suppose -15/2*y**2 + 27/2 + 3/2*y**3 + d*y = 0. What is y? -1, 3 Let o(w) be the second derivative of w**5/10 - 5*w**4/6 + 2*w**3 + 40*w. Let o(m) = 0. What is m? 0, 2, 3 Let k(x) be the first derivative of x**3/18 + 3*x**2/4 + 3*x - 14. Factor k(n). (n + 3)*(n + 6)/6 Let c = 12 - 13. Let w be 1*(1 + c - -11). Factor 4 + g - 10*g**2 + w*g**2 - 4 - g**3 - g**4. -g*(g - 1)*(g + 1)**2 Let s(w) = -6*w**4 + 19*w**3 + 18*w**2 - 55*w - 48. Let u(d) = 3*d**4 - 9*d**3 - 9*d**2 + 27*d + 24. Let a(r) = -3*s(r) - 5*u(r). Factor a(y). 3*(y - 4)*(y - 2)*(y + 1)**2 Let h(v) = 4*v**5 - 7*v**4 - 13*v**3 + 7*v**2 + 8*v + 1. Let u(n) = -n**5 + n**4 + n**3 - n**2 + n - 1. Let b(y) = h(y) + u(y). Factor b(k). 3*k*(k - 3)*(k - 1)*(k + 1)**2 Let l(t) be the first derivative of -44*t**5/25 + 71*t**4/5 - 536*t**3/15 + 72*t**2/5 + 288*t/5 + 421. Solve l(r) = 0. -6/11, 2, 3 Suppose 13*z - 170 + 14 = 0. What is y in -z*y + 17*y**3 + 12 + 15*y**5 + 0
{ "pile_set_name": "DM Mathematics" }
-v**2 - 4*v**3 + 6*v**3 + 0*v**2 - 7*v**4 as o + m*v**3 + l*v + w*v**2 + i*v**4 and give i. -7 Rearrange -k - 4 + 8*k**2 + 1 - 7*k**2 + 3*k to a*k**2 + w + o*k and give w. -3 Express 2*j + 0*j - j + (-3 - 1 + 1)*(-2*j + 0*j + 0*j) - 4*j + 4*j - 2*j + 3 - 4*j - 3 as x + u*j and give u. 1 Rearrange (14*a + 1 + 37*a - 22*a)*(-3 + 1 + 1) to n + m*a and give n. -1 Express (-18*n - 23*n + 34*n)*(n + 3*n - 2*n) as v*n + b*n**2 + a and give v. 0 Express 16*o + 24*o - 5*o in the form n + i*o and give i. 35 Rearrange -2*p**2 + p**3 + 2*p**2 - p**3 + 3*p**3 - p**3 + (p - 3*p + 4*p)*(-596*p + 596*p - 42*p**2) to the form m*p**3 + i*p + u + w*p**2 and give m. -82 Rearrange (-4*r + 0*r + 5*r)*(10 - 4 + 3) - r - 7*r + 3*r to the form o*r + u and give o. 4 Express -13 - 2*i**2 + 3*i**2 + 15 - i as u + s*i + l*i**2 and give l. 1 Rearrange (19 - 2 - 4)*(-2*n + 4*n + 2*n)*(n + 2 - 2) + (2*n**2 + 1 - 1)*(0 + 0 - 2) to g + k*n**2 + o*n and give k. 48 Rearrange -15*j - 86 + 86 + 1 - 2*j - 1 + (-1 + 3 - 3)*(-3*j + j + 3*j) - j + 1 - 1 to the form o*j + w and give o. -19 Express -16 + 14 - i**3 - i + 4*i**3 in the form b*i + c*i**3 + l + f*i**2 and give l. -2 Rearrange -2*w**3 - 1 + 12*w**2 - 40*w**2 + 20*w**2 to the form k*w**2 + a + j*w + q*w**3 and give a. -1 Rearrange 44*v**2 + 2 - 7 - 39*v**2 to the form d + w*v**2 + l*v and give d. -5 Rearrange 16 - 38 + 32 + 2*y**2 to the form j*y**2 + g*y + h and give j. 2 Express 3*y**3 - 2*y**3 + y**3 + (-y + 3*y - 5*y)*(-y**2 - 2*y**2 + 5*y**2) + 11*y - 11*y + 14*y**3 in the form c*y**3 + k*y**2 + b + u*y and give c. 10 Express -5*k + 3*k + k + (-2 - 3 + 3)*(k + 3*k - 3*k) - 12*k + 66*k + 38*k in the form n + s*k and give s. 89 Express (-68*l - 70*l + 135*l - 23)*(-1 + 0 + 4)*(-3 + 1 + 1)*(0*l - l - l) as s*l**2 + b + x*l and give x. -138 Rearrange -51*t**2 + 54*t**2 - 4 + 2 + 2*t to the form d*t**2 + z + l*t and give l. 2 Express -70 + 206*j + 141 - 71 in the form v*j + x and give v. 206 Express (0*b + 2*b - 7*b)*(43*b**2 - 2 - 79*b**2 + 40*b**2) in the form u*b**3 + w + c*b + m*b**2 and give c. 10 Express -23*k**2 - 9*k**2 - 3*k**2 + 3*k**2 in the form n*k**2 + w*k + h and give n. -32 Express (0*o + 2*o + 0*o)*(0 - 3 - 3)*(3 + 1 - 2) in the form b + y*o and give y. -24 Rearrange -14*n**2 - 2*n + 25*n**2 - 9*n**2 + (3*n**2 - 5*n**2 + 0*n**2)*(-7 + 4 + 1) to the form k*n + i + z*n**2 and give z. 6 Rearrange p**4 - 4*p**3 - 2*p - 2 + 6*p**3 - p**3 to x*p + b*p**2 + o*p**4 + u + a*p**3 and give o. 1 Express -1 - 1 - 24*h - 66*h + 8*h as x*h + v and give v. -2 Rearrange (-11*v - 15*v + v)*(1 - 1 + 2*v) + 0 + 0 + 2*v**2 to the form w*v**2 + n + d*v and give d. 0 Express 18*m**4 - 4 - 19*m**4 + 3 + 3*m in the form h*m**4 + g*m**3 + w*m + s + t*m**2 and give g. 0 Rearrange 2*q**3 - q**4 - 10*q + 22*q + 3 - 14*q to o*q**4 + j*q**3 + p*q + k*q**2 + w and give p. -2 Express 6 - 6 + 151*b - 91*b in the form c*b + l and give c. 60 Express ((2*d - 2*d + 2*d)*(2 - 4 + 0) + 86*d + 90*d + 24*d)*(2*d**3 - 2*d**3 + 2*d**3) in the form y*d**4 + i + k*d + q*d**3 + a*d**2 and give y. 392 Express (3*m - m - m)*(6*m - 4*m - m) - 10*m**2 - 9*m**2 + 8*m**2 - 2*m**2 + 5*m**2 - m**2 - m + m**2 + m as a*m + y*m**2 + w and give y. -7 Express 0*v**2 - 2*v**2 - 104*v + 113*v in the form s + w*v**2 + f*v and give f. 9 Express 2*v**3 + 100*v**4 + 1 - 2*v**2 - 261*v**4 + 129*v**4 as a*v**2 + m*v**3 + k*v + o*v**4 + t and give t. 1 Express 649 - 2*r - 649 as k + f*r and give f. -2 Rearrange -u + 16*u - u to m*u + v and give m. 14 Express -3*c**4 - c**4 + 2*c**4 + (1 - 1 + 2*c)*(-20*c**3 - 20*c**3 + 15*c**3) in the form w + g*c**4 + v*c + u*c**2 + o*c**3 and give g. -52 Express -q + 0*q + 0*q + (-2*q + 2*q - q)*(2 - 3 + 2) + 2 + 3*q - 2*q - 2*q as j*q + g and give g. 2 Express (3 - i - 3)*(-238 - 10*i + 238 + (-1 - 5 + 4)*(-i + i + i) - 4*i + i + i) as k*i**2 + a + h*i and give k. 14 Express (5 + 1 - 4)*(-c**3 - 7*c**3 + 5*c**3 + (0 - 2*c**2 + 0)*(c + 2 - 2)) in the form a*c + x + r*c**3 + l*c**2 and give r. -10 Express -30 - 10*g + 30 in the form s*g + z and give s. -10 Rearrange (0*d - 2*d + 4*d)*(-3*d - 14*d - 2*d)*(-5 + 2 + 2)*(2 - 2*d - 2) to o*d**3 + z*d + s + c*d**2 and give c. 0 Rearrange (-17 - 16 - 12)*(-4 + 3*g + 4) to the form h + i*g and give i. -135 Express 3*u**2 - 5*u + 5*u + (2*u + 1 - 1)*(3*u + u - 2*u) - 6*u**2 + 5*u**2 - u**2 as d*u + j + a*u**2 and give a. 5 Rearrange f**4 + 5*f**4 - 3*f**4 + (2*f - 3*f + 3*f)*(4*f**3 + f**3 - f**3) - f**3 + 2*f**4 + f**3 to the form v*f + j*f**3 + t*f**2 + u*f**4 + o and give u. 13 Rearrange -8*g**2 - g**4 + 5*g**2 - g + 0*g**2 - g**3 to the form n*g**4 + m*g**3 + p*g**2 + f + b*g and give n. -1 Express -75*d**4 + 63*d**3 - 63*d**3 + (0 + 0 - 2*d**2)*(2*d**2 + 2 - 2) in the form k*d**4 + t*d**2 + s + n*d + l*d**3 and give t. 0 Express (0 + 0 + 2*a**2)*(-2*a + 2*a + 2*a) + a**3 + 1 - 4*a - a + 6*a as i*a**3 + v + b*a + j*a**2 and give v. 1 Express -1 + 2 + 2*f - 4*f**3 - f as g*f + w*f**3 + u + l*f**2 and give u. 1 Express 9 - 2*d**2 - 10*d**3 + 12*d**3 + 4*d**2 as i*d**3 + a*d + g*d**2 + r and give r. 9 Express (0*i**2 - 2*i**2 + i**2)*(26 + 2 + 3) as d*i**2 + q*i + x and give d. -31 Rearrange (2 + 2 - 3)*(-l + l + l) + 1 + 3*l - 5*l - 2 + (-6 + 0 + 4)*(-3*l + 4*l + 0*l) to the form m*l + j and give m. -3 Rearrange -57 + 4*z**2 - 65 - 10*z**3 + 124 to n*z**3 + v + q*z**2 + w*z and give n. -10 Express (1 - 3 + 3)*(3 - 2 + 1)*(-4*x - x + 10*x)*(-x**3 + 5*x**3 - 2*x**3) as z + p*x**4 + h*x + q*x**2 + n*x**3 and give p. 20 Express -16*s**2 - 2*s**3 - s - s**4 - 2 + 2 + 15*s**2 in the form w + q*s + m*s**3 + n*s**2 + y*s**4 and give y. -1 Rearrange -p**3 - p**2 - p + 2 + 0*p + p**2 to the form h*p**2 + w + t*p**3 + d*p and give t. -1 Rearrange -9*k + 4*k**3 + 6*k**3 - 2 - 9*k**3 to the form z + c*k**3 + s*k + o*k**2 and give c. 1 Express (2 + 1 - 4 - y)*(-41 - 85 - 32) as g*y + d and give d. 158 Express (z + 0 + 0)*(6*z - 4*z + 0*z + 3*z + 3*z - 4*z + (4 - 2*z - 4)*(-3 + 2 + 0) - 9 + 12*z + 9) as n + u*z + r*z**2 and give n. 0 Express (2*c**3 - 6*c**3 + c**3)*(3 - 3 + 2*c)*(16 + 8 - 4) as a*c**3 + j*c**4 + z*c + h*c**2 + y and give j. -120 Rearrange -2*c**2 + 11*c**2 + 9*c**3 - 3*c**3 - 3*c**3 to the form d + b*c**3 + i*c + h*c**2 and give b. 3 Express 9*h + 7 + 2*h**3 - 7 + (2*h**2 - 1 + 1)*(-2 - 5*h + 2) as f + p*h + u*h**2 + c*h**3 and give p. 9 Express 2 - 15*j - 2 - 36*j in the form x*j + y and give x. -51 Express -4*g - 2*g - 2*g - 9*g in the form n + y*g and give y. -17 Rearrange -27*o**2 + 12*o**2 + 5*o - o + 13*o**2 + 2*o**3 to the form k*o**2 + s*o**3 + g + q*o and give q. 4 Express (-g + g + 3*g)*(3*g - 2*g + 3*g + (5 + 0 - 2)*(3*g - 2*g + 2*g)) as r*g**2 + s + a*g and give r. 39 Rearrange (6 - 3 + 2)*(-5 + 1 - 7)*(-v + 2*v + v) to the form i + l*v and give l. -110 Rearrange -2*n - 11*n + 2*n - 5*n to a + m*n and give m. -16 Rearrange 10*u - 2 + 12662*u**2 - 3 - 12663*u**2 to c + s*u + n*u**2 and give c. -5 Express (-1 - 1 + 1 + (6 - 3 - 4)*(-1 + 2 + 0) + 1 - 4 + 1)*(0*p + 14*p**2 + 0*p) as v + k*p**2 + n*p and give v. 0 Express (-3 + 1 + 7)*(-1 - 6 + 8)*(-6*t + t + 3*t) in the form u*t + c and give u. -10 Express 0*h**2 - 1 + 17*h**2 + h**2 - 4*h**2 as o*h + b + j*h**2 and give j. 14 Rearrange ((3 - 3 - 2*a)*(-2 - 1 + 2) + 3 - 3 + a)*(-8*a**2 - 9 + 4*a**2 + 5*a**2) to v*a + x*a**2 + d + t*a**3 and give v. -27 Express g**4 - 2 + 2*g**3 + 10*g**2 - 3*g**4 - 7*g**2 in the form k*g**3 + z*g**2 + y + h*g + i*g**4 and give k. 2 Rearrange 1 - 8*n**3 + 2 + n - 1 + 6*n**3 to p*n + z + s*n**2 + a*n**3 and give z. 2 Rearrange (2 + 0 - 11)*(-4*h - 3*h + 12*h) to m + t*h and give t. -45 Rearrange 11*h - h - 3*h to the form b*h + d and give b. 7 Rearrange w**2 - 2*w**2 - 2*w**2 + w**2 - 5*w**2 + 3*w**2 + (-w - 5*w + 0*w)*(0*w + 6*w + 6*w) to v*w**2 + y*w + f and give v. -76 Express 2*x - 8 + 1 + x**3 + 0 as p*x + q*x**3 + o*x**2 + h and give q. 1 Rearrange (3*d**3 - d**2 + d**2)*(7 + 3 - 1) to the form r*d + v*d**2 + t + s*d**3 and give r. 0 Rearrange 70*k**2 - 60*k**2 + 1 + 4 + (-k - 1 + 1)*(2*k + 0 + 0) - 4*k**2 + 0*k**2 + 3*k**2 to the form a*k + u + w*k**2 and give w. 7 Rearrange (-6 - 6*r + 6 + r + 0*r + r + (r + 2 - 2)*(0 + 0 + 2))*(-1 + 1 + 3) to a*r + h and give a. -6 Express 2*s - 9*s**2 - 2*s +
{ "pile_set_name": "DM Mathematics" }
n base 14, what is -85 - 1d6dd6? -1d707b In base 10, what is 678497 - -525? 679022 In base 7, what is 0 - -1104240040? 1104240040 In base 15, what is -e05 - -650? -7a5 In base 6, what is -131 + -24542035? -24542210 In base 12, what is -51b9967 + -2? -51b9969 In base 4, what is -100030102020 - 0? -100030102020 In base 14, what is 3 - b506566? -b506563 In base 9, what is 8286571 + 64? 8286645 In base 15, what is -12ebe + 33? -12e8b In base 14, what is 4d1d - -267? 5186 In base 5, what is -300 - -133314004? 133313204 In base 3, what is -12001 + -100022220200? -100100002201 In base 10, what is -272748 + 235? -272513 In base 10, what is 3294489 - -7? 3294496 In base 5, what is -3110120 + 2134? -3102431 In base 16, what is 3c - -46451? 4648d In base 7, what is -6131435 - -30? -6131405 In base 14, what is 1c0a4 - 1619? 1a889 In base 7, what is 5 + -3221156602? -3221156564 In base 2, what is -11000000 + 1001111101011001001000? 1001111101010110001000 In base 16, what is -209fda9 - 7? -209fdb0 In base 8, what is -2477 + -3522200? -3524677 In base 8, what is 66 + -2064546? -2064460 In base 8, what is 17270 - 14545? 2523 In base 14, what is -82c6a4 + -6? -82c6aa In base 11, what is 1 + 3101134? 3101135 In base 9, what is -5623457 + -24? -5623482 In base 12, what is 0 + -1031867? -1031867 In base 16, what is 0 + -290a7f? -290a7f In base 11, what is 69839 - 179? 69670 In base 10, what is 209 - -6401? 6610 In base 15, what is -4 - 8493cc2? -8493cc6 In base 2, what is -11100110110101101111 - 100? -11100110110101110011 In base 3, what is 12 - -21010020020002100? 21010020020002112 In base 9, what is 20335200 - 13? 20335176 In base 2, what is -1010 + 10001001010011101101? 10001001010011100011 In base 7, what is 112251423 - 126? 112251264 In base 4, what is 10 + 23321120? 23321130 In base 7, what is -162 - -3165016? 3164524 In base 7, what is 0 + -22023121? -22023121 In base 15, what is -2 + d6db15? d6db13 In base 16, what is 27a5acd - 0? 27a5acd In base 16, what is -1939833 + -5? -1939838 In base 2, what is 11 - -1011100000011111010100100010? 1011100000011111010100100101 In base 8, what is -76512 - 21744? -120456 In base 5, what is 1 - -12141044242? 12141044243 In base 13, what is 0 + c970032? c970032 In base 5, what is -4 + -1004400341? -1004400400 In base 11, what is 47851 + 40a2? 50943 In base 9, what is -1326721 + -518? -1327340 In base 14, what is 0 + -1737285? -1737285 In base 9, what is -11 - 2522707? -2522718 In base 4, what is -1320 - -10020320331? 10020313011 In base 4, what is 10213022312 + 10200? 10213033112 In base 10, what is 3827601 + 389? 3827990 In base 5, what is 22 + 244141423? 244142000 In base 8, what is 57340221 - 43? 57340156 In base 16, what is eb45 + 2707? 1124c In base 3, what is 2100100201121111 + 101? 2100100201121212 In base 9, what is 1 + 5381065? 5381066 In base 14, what is 7b + -1a830? -1a793 In base 5, what is 10101342021430 + -2? 10101342021423 In base 13, what is -6b4 - -17a97? 173b3 In base 14, what is 193674c3 + 0? 193674c3 In base 12, what is 0 + -1a2873a5? -1a2873a5 In base 12, what is -2 + -46a720b? -46a7211 In base 8, what is -2116767701 - -2? -2116767677 In base 8, what is 37735 + 5322? 45257 In base 6, what is 43012 + 224432? 311444 In base 4, what is 113021001 - -1301? 113022302 In base 12, what is -25089a7 + -5? -25089b0 In base 14, what is -c - 10b998? -10b9a6 In base 14, what is -88 + -91d506? -91d590 In base 2, what is 10000111100011010 - -10000110111010? 10011000011010100 In base 9, what is -311 + 3115641? 3115330 In base 6, what is 2045 - -23511213? 23513302 In base 3, what is -22 + 222001200020? 222001122221 In base 5, what is 4 + 144344313? 144344322 In base 5, what is -2 + -401430404312? -401430404314 In base 8, what is -26532210 + 75? -26532113 In base 2, what is 101010 - 1010101001111100000? -1010101001110110110 In base 13, what is 42ac4257 + 2? 42ac4259 In base 15, what is -da05e75 - -5? -da05e70 In base 15, what is 2 + 54db66a? 54db66c In base 9, what is 437 + 13377? 13825 In base 11, what is 765316 - 33? 765293 In base 5, what is 111 - -1101330341? 1101331002 In base 13, what is 9a98c3b - 3? 9a98c38 In base 11, what is -760971 - 1? -760972 In base 13, what is -139887 - -b? -139879 In base 2, what is 1011111111110011 + -100101000? 1011111011001011 In base 8, what is -1076224433 - 3? -1076224436 In base 2, what is 100011110000110101 + 10010101? 100011110011001010 In base 5, what is 2042010344 - -10? 2042010404 In base 15, what is -dc + -a? -e7 In base 2, what is -10010000011010 + -1010010100110? -11100011000000 In base 11, what is -220238a5 - -2? -220238a3 In base 5, what is -213 + -11423230? -11423443 In base 13, what is 1c283c84c - -1? 1c283c850 In base 10, what is 5273 - 46851? -41578 In base 2, what is -101001110101011010 + -10000111011? -101010000110010101 In base 3, what is -220201 + -102012220122? -102020211100 In base 15, what is -2 - -48ac13? 48ac11 In base 9, what is -200 + -1314? -1514 In base 11, what is -1704875 + 3? -1704872 In base 16, what is -1744 + -1c752? -1de96 In base 7, what is -101 + -661410? -661511 In base 8, what is 5547033 + -2? 5547031 In base 6, what is -2442312314 + -5? -2442312323 In base 7, what is 22 + 3361421? 3361443 In base 8, what is -127010 + -6201? -135211 In base 2, what is 10011 - -11100001011111011? 11100001100001110 In base 7, what is -12316024 - 6? -12316033 In base 8, what is -20 + -1502705? -1502725 In base 14, what is -32d - 1399? -16c8 In base 7, what is -53640251 - -5? -53640243 In base 2, what is -10001110100010010001101 + 111100? -10001110100010001010001 In base 10, what is 41884 + 1096? 42980 In base 10, what is 16 - 40142? -40126 In base 11, what is -121 - 12015? -12136 In base 12, what is -22 + 1279844? 1279822 In base 12, what is -19b - -1133? b54 In base 5, what is 14 - -120112124? 120112143 In base 13, what is 9082612 - 5? 908260a In base 13, what is -255a4 - 15? -255b9 In base 13, what is 18298a0 - 13? 182988a In base 5, what is 134 + -13111111041? -13111110402 In base 9, what is -1510 - 36445? -38055 In base 14, what is -bca5882 - -5? -bca587b In base 8, what is -126256363 + -1? -126256364 In base 5, what is -2011 + -1024303? -1031314 In base 10, what is 874 + -8487? -7613 In base 15, what is 1 - 3e9091? -3e9090 In base 5, what is 23332103442 - 3? 23332103434 In base 8, what is 1 - 70713765? -70713764 In base 15, what is -24 - -361d? 35e9 In base 4, what is -100322 - 2322310021? -2323011003 In base 4, what is -12210022311 + 2? -12210022303 In base 13, what is a0 - 306a8? -30608 In base 10, what is 37 + 9283611? 9283648 In base 12, what is 113a + -122363? -121225 In base 10, what is 299 - 59567? -59268 In base 9, what is 1520 + 101830? 103450 In base 7, what is 543016641 + 5? 543016646 In base 9, what is 840 - 72210? -71260 In base 5, what is 3 + -12321223132? -12321223124 In base 16, what is 7e65c2 - -4? 7e65c6 In base 7, what is -4 + -1021122644? -1021122651 In base 7, what is -5160 + -246? -5436 In base 6, what is 2010201441 - -5? 2010201450 In base 3, what is -2011000201000 - -212? -2011000200011 In base 10, what is 3 - -8700368? 8700371 In base 2, what is -11 - -10010110000100101101100? 10010110000100101101001 In base 15, what is 5 + 52dc1b? 52dc21 In base 5, what is -131324 + -344312? -1031141 In base 5, what is -212 + 1211112000? 1211111233 In base 10, what is 3 - -7249966? 7249969 In base 3, what is -100221 - -1121120220? 1121012222 In base 3, what is 210022122222111 + -11? 210022122222100 In base 9, what is 223727 + 17? 223745 In base 11, what is -4465526 + -10? -4465536 In base 3, what is 1220001222000201 - -10? 1220001222000211 In base 6, what is 135514123 - 122? 135514001 In base 2, what is 111101100110111000010011011010 + -100? 111101100110111000010011010110 In base 5, what is -4111 - -2421433? 2412322 In base 8, what is -330 - -203211? 202661 In base 6, what is 1433550401 - 0? 1433550401 In base 12, what is -2211baa2 - -2? -2211baa0 In base 4, what is -11101100 - -112012? -10323022 In base 12, what is 2 - -6713a07? 6713a09 In base 8, what is 4 - 13115636? -13115632 In base 10, what is 108935 - 283? 108652 In base 8, what is -2 + -575765654? -575765656 In base 3, what is 22220012022 + -111? 22220011211 In base 12, what is -788b7 + 1
{ "pile_set_name": "DM Mathematics" }
he greatest common divisor of 8 and w. 1 Let a(l) = l**2 - 9*l - 6. Let z be a(10). Suppose 2*m - 36 = m + 5*c, 0 = c - z. Let s = -13 + 21. Calculate the greatest common factor of s and m. 8 Let d(m) = 26*m + 22. Let a be d(-3). Let q = a - -60. Calculate the greatest common factor of q and 3. 1 Let i = -4 - -10. Suppose -2*y - i = -2*g, 2*g = -5*y + 2*y + 16. Let b(l) = -l + 25. Let j be b(0). What is the highest common factor of g and j? 5 Let x = -61 + 59. Let c be 0 - x/(-3) - 583/(-33). Calculate the greatest common divisor of c and 34. 17 Suppose 0*l = -4*l - 44. Let u(m) = 2*m + 23. Let z be u(l). What is the highest common factor of 3 and z? 1 Suppose 100*m - 59*m = 55063. What is the greatest common divisor of m and 68? 17 Suppose 2*n - 205 = -77. What is the highest common divisor of 4 and n? 4 Let j be -1 + 2 - (-7 - -6). Suppose j*l = 5*n - l - 759, -5*l + 10 = 0. Calculate the greatest common factor of n and 17. 17 Let b = 10 - 13. Let g be 45*(30 + b)/3. Suppose -15*p - g = -20*p. What is the highest common divisor of 9 and p? 9 Suppose 209*o - 191*o = 7236. What is the greatest common divisor of o and 6? 6 Let w(m) = 3*m**3 + 38*m**2 + 19*m + 27. Let y be w(-12). What is the highest common divisor of y and 116? 29 Let c = 22 - 13. Let g = -43 - -52. Let m(t) = t**2 - t + 27. Let y be m(g). Calculate the highest common factor of y and c. 9 Suppose -309 = -5*y - 176*k + 173*k, 0 = y - 3*k - 69. Calculate the highest common factor of y and 126. 63 Let r(a) = 2*a + 10. Let s = 69 - 64. Let b be r(s). What is the highest common divisor of 60 and b? 20 Let z(q) = -2*q**2 - 19*q + 11. Let f be z(-10). Suppose 2*p + 1 = 5*j - 48, 0 = j + 5*p + 1. Calculate the greatest common divisor of j and f. 1 Suppose 365 = 17*b - 162. What is the greatest common divisor of b and 279? 31 Suppose 0 = 3*m - 0*m - 297. Let p(q) = -2*q**3 + 2*q**2 + 3*q - 4. Let u be p(-3). Suppose n - 70 = -u. Calculate the greatest common divisor of m and n. 11 Suppose -5*a + 688 = -a + 4*w, 0 = a + 3*w - 166. What is the highest common divisor of a and 91? 7 Let s = -598 - -614. What is the greatest common factor of 248 and s? 8 Let t(l) = 2*l - 7. Let s be t(5). Suppose r + s*r = 8. Suppose -2*k = r - 8. What is the greatest common divisor of 2 and k? 1 Suppose 8 = -4*w, w + 176 = 5*g + 3*w. Suppose -132 = -4*n - g. What is the highest common divisor of n and 8? 8 Let o be (-195)/(-45) + 4/(-3) + 1. Let w(i) = 14*i**2 - 5*i - 1. Let u be w(o). Calculate the greatest common factor of u and 29. 29 Let u(l) be the first derivative of -5*l**2 - 9 - l**2 + 2*l**2 - 60*l + 58*l. Let b be u(-6). What is the greatest common factor of 23 and b? 23 Suppose -2*b - 808 = -5*b + 4*i, -2*i = 4*b - 1048. Let x = 119 + -86. What is the greatest common factor of b and x? 33 Let j = 111 + -109. Suppose 29 = p - 3*t, 2*p = -2*p - j*t + 102. What is the highest common divisor of p and 39? 13 Let t be ((-248)/(-32))/(1/12). Calculate the highest common factor of t and 124. 31 Suppose 0 = -3*f + 12, 6 = 5*b - 3*f - 7. Calculate the greatest common divisor of 65 and b. 5 Let b(d) = -d**3 - 5*d**2 - 6*d + 1. Let m be b(-2). Suppose -4*u + 0*u + 8 = 0. Calculate the greatest common factor of m and u. 1 Let n be (-4 - -3)*2/((-4)/90). Suppose -n - 3 = -2*z. What is the greatest common divisor of 6 and z? 6 Let d be 850/20*12/2. Calculate the greatest common divisor of 15 and d. 15 Let v = 18 + -11. Suppose 0 = v*n - 5*n - 110. Calculate the greatest common divisor of 5 and n. 5 Suppose 3*s - 12*y + 8*y - 16950 = 0, 2*s - 11300 = y. Calculate the highest common divisor of 10 and s. 10 Suppose 0 = 38*n - 30*n - 112. What is the greatest common divisor of n and 14? 14 Let w be (22/77)/1 - 502/(-7). What is the greatest common divisor of 936 and w? 72 Let j be (92/4)/(2 + -1). Let k be j + -6 + -3 + 7. Calculate the greatest common factor of 189 and k. 21 Suppose 42*d + 12*d = 21924. What is the highest common factor of 84 and d? 14 Let h(o) = o**3 + 8*o**2 - 10*o + 1. Let w be h(-7). Let r be -7 - -4 - 184/2. Let p be (-1349)/r + 4/5. Calculate the highest common divisor of w and p. 15 Let z = 389 - -511. What is the greatest common factor of z and 60? 60 Let z(c) = -487*c**3 - 2*c**2 - 17*c - 16. Let s be z(-1). What is the highest common divisor of s and 378? 54 Let i = 1510 + -1098. Calculate the highest common factor of i and 721. 103 Let f(h) = 2*h**2 + 27*h + 208. Let u be f(-7). Suppose 0*s + 5*s - 390 = 0. Calculate the highest common divisor of u and s. 39 Suppose 23 = -5*o + 18. Let n = 11 + o. What is the highest common factor of 4 and n? 2 Let d be 15 + -1*(-3)/(-1). Suppose 5*l = 4*w - 12, -3 = -6*l + 3*l - w. Suppose l = r + 3, -22 = 3*t - 7*t + 2*r. What is the highest common factor of t and d? 4 Let u = 80 - 56. Calculate the greatest common divisor of 42 and u. 6 Suppose -10*y = -18*y + 48. Calculate the highest common factor of y and 102. 6 Let p be 4 + (-9)/(-3 + 6). Let q be p/4 + (-49)/(-28). Let f(d) = d**2 - 10*d + 12. Let s be f(9). What is the highest common factor of s and q? 1 Let u = -816 - -822. Calculate the greatest common factor of 2 and u. 2 Suppose 13 = 9*q - 113. What is the highest common factor of q and 14? 14 Let z = -4 - -11. Let d be (2 - 16)/((-80)/440). What is the highest common factor of d and z? 7 Let l be 390/36 - -5 - 2/(-12). What is the highest common divisor of 200 and l? 8 Let b = 90 + -2. Suppose -60 = -5*y - 5*h, 3*y - 56 = -2*y - h. What is the highest common factor of b and y? 11 Let b(y) = -3*y + 3. Let c be b(-6). Let m = -1051 + 1072. Calculate the greatest common factor of c and m. 21 Let i(r) = 2*r**2 + r - 1 - 8 + 7 - 4*r**2 - 6*r**3. Let f be i(-2). Suppose 6*b + f = 7*b. Calculate the highest common factor of b and 24. 12 Let q(u) = -31*u + 3. Let w(v) = 124*v - 13. Let b(c) = -9*q(c) - 2*w(c). Let z be b(1). Calculate the highest common factor of 10 and z. 10 Let m(c) = -20*c + 56. Let t be m(-7). Calculate the greatest common factor of 49 and t. 49 Let o(q) = -3*q**3 - 2*q**2 + 5*q + 3. Let c = 3 - 3. Suppose a = -c*a - 4. Let w be o(a). What is the greatest common divisor of w and 13? 13 Let g(n) = -8*n + 21. Let t be g(5). Let o = -7 - -12. Let y = o - t. Calculate the greatest common divisor of y and 8. 8 Let y be (-1 - -1)/((-1)/(-1)). Suppose -a + 5 - 2 = y. Let g(l) = 7*l - 14. Let v be g(5). Calculate the highest common factor of v and a. 3 Let h(a) = a**3 - 32*a**2 + 36*a - 92. Let j be h(31). Calculate the greatest common divisor of 693 and j. 63 Suppose 3*y = 325 - 73. What is the greatest common divisor of y and 616? 28 Let d = -2019 - -2173. What is the highest common divisor of 182 and d? 14 Suppose 4*i = 4*h + h - 344, 0 = -h + 5*i + 52. Suppose h*x = 73*x - 32. What is the greatest common divisor of x and 4? 4 Let l(n) = n + 9. Let z be l(-5). Suppose 4*p - 779 = o + 372, -z*p = 5*o - 1157. What is the highest common factor of 32 and p? 32 Let g be 10809/360*12 - 6/20. What is the highest common divisor of 135 and g? 45 Let m = 255 + -217. What is the greatest common factor of 190 and m? 38 Suppose 0*n + 480 = 5*n. Let c be (-1148)/70 - 4/(-10). Let m be c/(-56) - 444/(-14). Calculate the highest common factor of n and m. 32 Let d be 1/(-2) + 2840/80. Calculate the greatest common divisor of 77 and d. 7 Let d be (1/(-2))/(1/(-324)). Suppose 2*s - d = 280. Calculate the highest common divisor of s and 13. 13 Suppose -4*f - 4*k = -196, -12 = -2*k - k. Suppose 0 = 5*b - p - 93, -p - 1 + 70 = 4*b. What is the greatest common divisor of f and b? 9 Suppose -4*f + v = -325, -v - 29 - 56 = -f. What is the greatest common divisor of f and 1? 1 Let b be 16/28 - (-300)/14. Suppose 19*g - b*g = -168. What is the greatest common factor of 140 and g? 28 Let h(x) = 16*x + 12. Let l be h(10). Let y(i) = -3*i**2 + 8*i - 6. Let q be y(7). Let b = q + l. What is the greatest common divisor of b and 50? 25 Suppose -v - z + 18 = 0, 5*v - z + 5*z = 95. What is the greatest common divisor of 1633 and v? 23 Let c be 6/(-7)*28/(-8). Let b be 0 - (-8)/(4 - c). Suppose 5*j = 4*h - 5, 2*h = h - j + b. What is the greatest common factor of h and 15? 5 Let w be (-41)/(-2) - (-30)/20. Let n = 37 - w. What is the greatest common divisor of 1
{ "pile_set_name": "DM Mathematics" }
o) + 6*i(o). Determine u(1). -64 Let o be ((-3)/9)/(100 + -104 - (-37)/9). Let s(m) = 3*m - 11. Let u(d) = -d + 5. Let c(w) = -6*s(w) - 13*u(w). Determine c(o). 16 Suppose 5*i = 4*h + 8, 4*h = -5*i - 9 + 41. Let n(k) = 294*k**2 + 9*k - 151*k**2 + k**3 + 7*k - 146*k**2 - 1 + 10*k - 28*k. What is n(i)? 7 Let w(h) = -27*h - 4. Let n(s) = -38*s - 6. Let o(m) = -5*n(m) + 7*w(m). Suppose -z - 3 = -v, 2*z - 24 = -0*v - 4*v. Give o(v). 7 Let t = 29292 - 29281. Let y(v) = v**3 - 10*v**2 - 8*v - 34. What is y(t)? -1 Let s(b) = b**3 - 15*b**2 - 15*b - 10. Let r(d) = 8*d**3 - 6*d**2 + 5*d + 15. Let z be r(3). Suppose -a - z = -13*a. Calculate s(a). 6 Let g = -29859 - -29837. Let t(y) = y**3 + 20*y**2 - 48*y - 46. Determine t(g). 42 Suppose 2*g - 20 = -0*g. Let r = 1 - -27. Let l(y) = -r*y - 6 - 2 + 29*y - 6. What is l(g)? -4 Let l(s) be the second derivative of 2*s**3/3 - s**2/2 - 1619*s + 1. What is l(-2)? -9 Suppose -3*k + 8 = -25. Suppose -l - k = -2*l. Let r(i) = 2741 + 13*i + i**3 - i + i**3 - 2745 - 3*i**3 + 10*i**2. Calculate r(l). 7 Let q(z) = 4*z**2 + 40*z - 120. Let t be q(3). Let r = t + -44. Let h(m) be the third derivative of -m**4/24 - 5*m**3/3 - m**2. Give h(r). -2 Let m(g) = g**2 + 66*g - 49. Let y be m(-67). Let o(k) = -k**2 + 19*k + 2. Give o(y). 20 Let i(n) be the second derivative of -n**4/12 + 5*n**3/2 - 11*n**2 + 1086*n - 2. What is i(14)? -8 Let a(b) = -b**3 - 30*b**2 - 31*b - 66. Let f = 3148 + -3177. Determine a(f). -8 Let z(i) = i**2 + 15*i - 29. Let l be z(-9). Let d = -79 - l. Let r(n) = 4*n - d*n**2 - n + 5*n**2 + 2*n. What is r(-5)? 0 Let w(i) = -55*i - 438. Let q(u) = 91*u**2 - 1457*u + 8. Let k be q(16). What is w(k)? 2 Let q(j) = -j**3 + 6*j**2 - 7*j - 8. Suppose -2*t - 66 = 27*t - 182. Calculate q(t). -4 Let m(n) be the first derivative of -n**3/3 - 5*n**2 - 10*n + 1363. Suppose 2*o = -o - 12, 2*h - 3*o = 16. Let f be (14/(-4))/(1/h). Give m(f). 11 Let b(d) = -d**2 - 12*d. Let n be (-6)/4*912/342. Calculate b(n). 32 Let j(c) = 247*c + 61. Let h(g) = -61*g + 1. Let q(n) = -4*h(n) - j(n). Calculate q(-22). 1 Let g(f) be the third derivative of -3*f**6/40 + f**5/60 - f**4/24 - f**3/6 + 602*f**2. Suppose -3*y = 5*r - 7, 16 = 4*r - 0*r + 5*y. Determine g(r). 10 Let h(b) be the third derivative of -b**6/120 + 7*b**5/60 + 53*b**4/24 - 182*b**3/3 + 5*b**2 - 292*b + 2. Calculate h(7). 7 Let v(b) be the first derivative of b**7/840 - b**6/40 + 3*b**5/40 - b**4/24 - b**3/3 + 2*b - 27. Let m(c) be the third derivative of v(c). Calculate m(8). 7 Let w = -1 + 4. Let i(f) = -11*f - 4. Let j(s) = 14*s - 17. Let l(r) = 43*r - 47. Let x(y) = -17*j(y) + 6*l(y). Let v(p) = -5*i(p) - 3*x(p). Give v(w). -16 Let g(t) = 34*t + 301. Let w(d) = -d**2 - 60*d - 653. Let v be w(-14). Calculate g(v). -5 Let l(j) be the first derivative of 3*j**2/2 + 74*j - 4167. Calculate l(-29). -13 Let b(m) = 18*m - 12. Let p(g) = g**3 - 20*g**2 + 5*g - 99. Let z be p(20). Give b(z). 6 Let r(z) = -z**2 - 6*z + 8. Let d be (-6)/10 + (-490)/(-25). Suppose 0 = -4*j + 17 + d. Let x(i) = 2*i**3 - 18*i**2 - 7. Let v be x(j). Determine r(v). 1 Let t(q) = q**2 - 14*q - 4. Let h be t(14). Let o be h - (-24)/(-20)*5. Let a(p) = -p + 6*p - 4*p - 9*p**2 - p**3 + 7 - p**2. Determine a(o). -3 Let n(x) = 8*x + 15*x - 52*x + 11*x + 14*x + 4. Determine n(5). -16 Let l(z) = -240*z + 13914. Let a be l(58). Let f(v) be the third derivative of 0*v + 2/3*v**3 - 2*v**2 + 1/24*v**4 + 1/120*v**6 + 0 + 1/10*v**5. Determine f(a). -2 Let k(p) be the second derivative of p**4/6 + 9*p**3/2 - 5*p**2/2 - 8339*p. Calculate k(-8). -93 Let y be (-174)/232*(-32)/6. Let f(b) be the first derivative of -10 - b**2 - 1/4*b**y + b + 2*b**3. What is f(3)? 22 Let u be (-4)/1*260/(-208). Let c(q) = 4*q - 6 + 4*q**2 + 4*q**3 + 3 + u*q - 5*q**3 - 2*q. Give c(5). 7 Suppose 3*g + 33 - 8 = 4*u, 4*g = -2*u - 70. Let p(j) = 3*j**2 - 17*j + 26. Let h(l) = 5*l**2 - 33*l + 51. Let d(i) = -4*h(i) + 7*p(i). Give d(g). 8 Let s(i) = 0*i - 6 - 2*i + 0*i + i**2 + 4. Let y(m) = m + 3. Let q(f) = -2*s(f) - y(f). Let b(a) = a**2 - a + 3. Let h be b(0). Determine q(h). -8 Let r(s) = -2*s**3 - 125*s**2 - 63*s - 64. Let c be r(-62). Let t(z) be the first derivative of z**2 - z - 10. Calculate t(c). -5 Let n(f) = -f + 4. Suppose -2*o = -0*o - 22. Let w(r) = r**2 - 4*r - 4. Let a be w(o). Let c = a + -73. What is n(c)? 4 Let q(o) = -28*o**3 + 59*o**2 - 7*o - 108. Let g(d) = 13*d**3 - 28*d**2 + 3*d + 53. Let v(u) = -13*g(u) - 6*q(u). Give v(10). -11 Let a be ((-1)/3)/(3/(-9)). Let u(x) = 3*x - 10. Let h(v) = 1. Let s(l) = a*u(l) + 5*h(l). Suppose 0 = -3*m - 13*m - 2 + 66. What is s(m)? 7 Let n(b) = 19*b + 9. Suppose 90*x + 24 = -35 - 31. Give n(x). -10 Suppose -70*x + 414 = -68*x. Let a = x - 225. Let q(h) = h**2 + 18*h - 2. Determine q(a). -2 Let l = 2856 - 2862. Let f(k) = 2*k + 2 - 5*k**2 - k**3 + 2*k + 0*k**3. What is f(l)? 14 Let m(k) be the first derivative of -k**5/24 - 5*k**4/24 - 22*k**3 + 167. Let c(w) be the third derivative of m(w). Calculate c(6). -35 Let m(g) be the second derivative of 5*g**3/6 + 157*g**2/2 + 2657*g - 1. Calculate m(-35). -18 Suppose 9 = 4*k + 3*c, c + 4*c = -5. Suppose 1 = -k*n + 1. Let d(u) = u + 5*u**2 + 0 - 4*u**2 + 0 - 5. What is d(n)? -5 Suppose -3*s + 5*s = -2, 0 = 4*q - 4*s + 16. Let j(l) = 4*l + 11. Calculate j(q). -9 Let c(y) be the third derivative of -y**6/180 + y**5/120 - 7*y**4/24 + 98*y**3/3 + 107*y**2 + 2. Let m(q) be the first derivative of c(q). What is m(3)? -22 Let s(p) = -p**2 - 31*p - 228. Let n(q) = q**3 - 34*q**2 - 75*q + 91. Let g be n(36). What is s(g)? 10 Let w be 11/22 + -2*(-31)/4. Let n(t) = -4*t - 3 + 2*t + w*t - t**2 - 6*t. Determine n(7). 4 Let a(j) be the third derivative of 109*j**2 - 7/6*j**3 + 0 + 1/3*j**4 + 0*j - 1/60*j**5. Calculate a(6). 5 Let x(w) = -2*w**3 + 3*w**2 + 2*w - 7. Suppose -17 + 97 = 40*o. Give x(o). -7 Let o(f) = -24*f - 3*f**2 + 10*f - f**3 + 29759 - 29793 - 4*f. Calculate o(-2). -2 Let y be (-2)/1 + 11/88*4*-6. Let s(l) = 3*l**2 + 11*l + 3. Give s(y). 23 Let d = -54 - -52. Let k(z) be the third derivative of z**4/24 + z**3/6 - 2*z**2 - 7*z. Determine k(d). -1 Suppose -2*n + 23 = 4*p + 11, -3*p = -4*n + 2. Let d(r) = p - 2229*r + 2235*r - 3*r**2 + 2*r**2. What is d(6)? 2 Let j(z) = z**2 + 15*z + 20. Let p be j(-14). Suppose 2*c - p = -c. Let t(a) = 11 - 3*a + 2*a + 0*a + c*a. Calculate t(-9). 2 Let k(c) be the third derivative of c**5/60 + c**4/24 - 19*c**3/6 - 69*c**2. Let f be k(-5). Let g(x) = -10*x**3 + x**2 - x. What is g(f)? -10 Let j(q) be the second derivative of q**5/20 - 19*q**4/12 + 7*q**3/2 - 21*q**2 + 2*q - 338. Calculate j(18). 12 Suppose 0 = -3*l + 73 - 19. Suppose -8*u = -11*u + l. Let r(x) = -x**3 + 13*x**2 - 12*x + 3. Let h(f) = f**2 - f + 1. Let m(o) = 6*h(o) - r(o). Determine m(u). 3 Let b(y) = -y**2 - 11*y - 15. Let c be b(-10). Let f(j) = -3*j - 13. Let p be f(c). Let a(r) = 4*r**2 - 2*r - 13 + 14 - r**2 + r**p. Calculate a(2). 13 Let y(w) = 202*w**3 - 397*w**3 - w - 3*w**2 + 9 + 194*w**3 + 7*w**2 - 5*w. What is y(4)? -15 Let p(r) = 4*r**2 + 12*r - 8. Let n be 14/4*1840/(-1610). What is p(n)? 8 Let f(a) be the second derivative of -a**5/20 - 2*a**4/3 - 5*a**3/6 - 65*a**2 - 4608*a. Give f(-9). -4 Let h(x) be the first derivative of 0*x - 3/2*x**2 - 177 + 1/3*x**3. Determine h(-3). 18 Let v(o) = 195*o**2 - 55*o + 110. Let z(k) = -k**2. Let t(y) = 13*y**2 - 4*y + 8. Let w(j) = t(j) - z(j). Let m(x) = -4*v(x) + 55*w(x). Determine m(1). -10 Let d(h) = -2*h - 2. Let s = -200 - -235. Let o be 5 + s/(-21) + 2/(-6). Calculate d(o). -8 Let a(h) = 3*h**2 + 2*h + 1. Let j(o) = -11*o + 53. Let p(r) be the first derivative of -r**2/2 - 13*r - 13. Let n be p(-18). Let u be j(n). What is a(u)? 9 Let y(a) be the third derivative of a**5/60 - a**4/24 + a**3/6 + 2041*a**2. Let h(i) = -2*i**2 - 4*i - 5. Let t be h(-2). Determine y(t). 31 Suppose 6*g = 9*g + 138. Let s be (-48)/(-14) + (-7 - g/7). Let a(w) = -4*w. What is a(s)? -12 Suppose 3*a = a. Let c(k) = k. Let t be c(a). Let d(q) = -59*q + 764. Let n(g) = -10*g + 127. Let z(p) = d(p) - 6*n(p). Calculate z(t). 2 Let f(u) = -45*u - 12. Let z be f(8). Let d = z + 381. Let m(q) = -q**2 + 9*q - 8. Give m(d). -8 Let h(k) be the third derivative of k**6/120 - k**5/10 + k**4/4 - k**3/6 + k**2.
{ "pile_set_name": "DM Mathematics" }
38, -8446? -1408*h + 2 What is the t'th term of -100, -94, -66, -4, 104, 270, 506? 2*t**3 - t**2 - 5*t - 96 What is the u'th term of -107, -96, -71, -26, 45, 148, 289? u**3 + u**2 + u - 110 What is the b'th term of 31, 33, 31, 25, 15? -2*b**2 + 8*b + 25 What is the c'th term of 190, 381, 572, 763? 191*c - 1 What is the n'th term of -1725, -1729, -1737, -1749, -1765? -2*n**2 + 2*n - 1725 What is the h'th term of 5190, 5188, 5186, 5184, 5182? -2*h + 5192 What is the i'th term of 2056, 2053, 2048, 2041, 2032? -i**2 + 2057 What is the r'th term of 49, 193, 439, 793, 1261? r**3 + 45*r**2 + 2*r + 1 What is the a'th term of 27, 48, 59, 54, 27, -28, -117? -a**3 + a**2 + 25*a + 2 What is the r'th term of 2892, 2879, 2840, 2763, 2636, 2447, 2184? -2*r**3 - r**2 + 4*r + 2891 What is the x'th term of 46, 56, 72, 94, 122? 3*x**2 + x + 42 What is the d'th term of 124, 106, 62, -20, -152, -346, -614? -2*d**3 - d**2 - d + 128 What is the p'th term of 1, -108, -291, -548? -37*p**2 + 2*p + 36 What is the g'th term of -102, -202, -302? -100*g - 2 What is the a'th term of 104, 91, 78, 65, 52? -13*a + 117 What is the r'th term of -3, -21, -53, -99, -159? -7*r**2 + 3*r + 1 What is the t'th term of 72, 48, 14, -24, -60? t**3 - 11*t**2 + 2*t + 80 What is the p'th term of 191, 382, 573, 764, 955? 191*p What is the m'th term of -161, -164, -169, -176? -m**2 - 160 What is the d'th term of 116, 62, 8, -46? -54*d + 170 What is the r'th term of 15, 60, 135, 240, 375, 540? 15*r**2 What is the w'th term of 165, 652, 1463, 2598? 162*w**2 + w + 2 What is the o'th term of 248, 271, 308, 359, 424, 503? 7*o**2 + 2*o + 239 What is the o'th term of 21, 22, 23, 24, 25, 26? o + 20 What is the v'th term of 28, 69, 122, 175, 216, 233, 214, 147? -2*v**3 + 18*v**2 + v + 11 What is the f'th term of -4, -44, -110, -202, -320, -464? -13*f**2 - f + 10 What is the h'th term of 161, 165, 169, 173, 177, 181? 4*h + 157 What is the c'th term of 40, 47, 50, 49, 44? -2*c**2 + 13*c + 29 What is the t'th term of 365, 733, 1103, 1475, 1849? t**2 + 365*t - 1 What is the d'th term of 196, 285, 374? 89*d + 107 What is the g'th term of 12, 33, 60, 87, 108? -g**3 + 9*g**2 + g + 3 What is the h'th term of 536, 539, 542, 545? 3*h + 533 What is the p'th term of 7, 44, 85, 130, 179? 2*p**2 + 31*p - 26 What is the c'th term of 735, 734, 733, 732, 731, 730? -c + 736 What is the h'th term of 4187, 4190, 4193, 4196? 3*h + 4184 What is the p'th term of 15, 75, 175, 315, 495? 20*p**2 - 5 What is the i'th term of 47, 92, 135, 176? -i**2 + 48*i What is the j'th term of -225, -449, -673, -897? -224*j - 1 What is the r'th term of -180, -362, -544, -726, -908? -182*r + 2 What is the o'th term of -23, -29, -47, -77, -119, -173, -239? -6*o**2 + 12*o - 29 What is the l'th term of -3968, -3973, -3982, -3995, -4012? -2*l**2 + l - 3967 What is the v'th term of -3, -10, -21, -36? -2*v**2 - v What is the x'th term of 7356, 7364, 7376, 7392, 7412, 7436, 7464? 2*x**2 + 2*x + 7352 What is the s'th term of -22, 5, 44, 89, 134, 173? -s**3 + 12*s**2 - 2*s - 31 What is the k'th term of 949, 952, 953, 952, 949? -k**2 + 6*k + 944 What is the w'th term of 360, 736, 1112, 1488? 376*w - 16 What is the d'th term of 17, 9, -3, -19, -39, -63, -91? -2*d**2 - 2*d + 21 What is the s'th term of -484, -1955, -4410, -7849, -12272, -17679? -492*s**2 + 5*s + 3 What is the f'th term of 2152, 2154, 2156, 2158, 2160, 2162? 2*f + 2150 What is the s'th term of 386, 770, 1154, 1538, 1922, 2306? 384*s + 2 What is the x'th term of 69, 54, 47, 54, 81? x**3 - 2*x**2 - 16*x + 86 What is the h'th term of -9439, -18880, -28321, -37762? -9441*h + 2 What is the t'th term of 275, 553, 829, 1103, 1375? -t**2 + 281*t - 5 What is the c'th term of 792, 791, 788, 783, 776? -c**2 + 2*c + 791 What is the l'th term of 37, 75, 105, 121, 117? -l**3 + 2*l**2 + 39*l - 3 What is the c'th term of 1, 0, 1, 4, 9? c**2 - 4*c + 4 What is the l'th term of 28, -33, -92, -149, -204, -257, -308? l**2 - 64*l + 91 What is the b'th term of 15, 20, 29, 42, 59, 80? 2*b**2 - b + 14 What is the u'th term of 51, 54, 57? 3*u + 48 What is the b'th term of -6, 10, 36, 72, 118? 5*b**2 + b - 12 What is the l'th term of -128, -130, -132, -134? -2*l - 126 What is the g'th term of -130, -125, -112, -91? 4*g**2 - 7*g - 127 What is the r'th term of -3, 9, 27, 51, 81? 3*r**2 + 3*r - 9 What is the r'th term of 159, 165, 175, 189, 207, 229? 2*r**2 + 157 What is the r'th term of -4, -25, -72, -151, -268, -429? -r**3 - 7*r**2 + 7*r - 3 What is the p'th term of -6889, -6879, -6863, -6841? 3*p**2 + p - 6893 What is the l'th term of -1794, -1796, -1798? -2*l - 1792 What is the s'th term of 37, 22, 5, -14, -35, -58? -s**2 - 12*s + 50 What is the h'th term of -899, -3601, -8103, -14405? -900*h**2 - 2*h + 3 What is the r'th term of -94, -345, -764, -1351? -84*r**2 + r - 11 What is the x'th term of -467, -465, -461, -455, -447, -437? x**2 - x - 467 What is the t'th term of 274, 547, 820, 1093? 273*t + 1 What is the g'th term of 30, 53, 82, 117, 158, 205? 3*g**2 + 14*g + 13 What is the x'th term of 485, 972, 1459? 487*x - 2 What is the a'th term of 399, 394, 389, 384, 379? -5*a + 404 What is the x'th term of 45, 43, 35, 21, 1? -3*x**2 + 7*x + 41 What is the s'th term of 89, 175, 237, 263, 241? -2*s**3 + 100*s - 9 What is the j'th term of -12, -32, -56, -84? -2*j**2 - 14*j + 4 What is the j'th term of 17, 36, 83, 170, 309, 512, 791, 1158? 2*j**3 + 2*j**2 - j + 14 What is the q'th term of -12, -29, -38, -39? 4*q**2 - 29*q + 13 What is the p'th term of -147, -287, -427, -567, -707, -847? -140*p - 7 What is the r'th term of -34, -32, -28, -22, -14, -4, 8? r**2 - r - 34 What is the f'th term of 1, -17, -47, -89? -6*f**2 + 7 What is the q'th term of 34, 56, 114, 226, 410, 684, 1066, 1574? 3*q**3 + q + 30 What is the q'th term of 3805, 7612, 11419, 15226, 19033, 22840? 3807*q - 2 What is the b'th term of -1, -52, -155, -310? -26*b**2 + 27*b - 2 What is the w'th term of 116, 112, 108, 104, 100? -4*w + 120 What is the u'th term of 445, 444, 443? -u + 446 What is the j'th term of 24, 38, 84, 180, 344? 3*j**3 - 2*j**2 - j + 24 What is the t'th term of 18, 57, 94, 123, 138, 133, 102? -t**3 + 5*t**2 + 31*t - 17 What is the j'th term of 1421, 1437, 1469, 1523, 1605, 1721, 1877? j**3 + 2*j**2 + 3*j + 1415 What is the m'th term of -145, -255, -361, -463, -561, -655, -745? 2*m**2 - 116*m - 31 What is the u'th term of 35, 44, 65, 104, 167? u**3 + 2*u + 32 What is the i'th term of -51, -55, -61, -69? -i**2 - i - 49 What is the q'th term of 13, 86, 215, 406, 665, 998, 1411? q**3 + 22*q**2 - 10 What is the c'th term of -690, -2763, -6218, -11055? -691*c**2 + 1 What is the v'th term of -255, -509, -763, -1017? -254*v - 1 What is the g'th term of -97, -95, -117, -175, -281? -2*g**3 + 16*g - 111 What is the s'th term of 161, 328, 495, 662, 829? 167*s - 6 What is the c'th term of 367, 398, 429, 460? 31*c + 336 What is the a'th term of -9, -202, -729, -1758, -3457, -5994, -9537? -28*a**3 + a**2 + 18 What is the f'th term of 18, 44, 92, 168, 278, 428, 624? f**3 + 5*f**2 + 4*f + 8 What is the b'th term of -80, -33, 24, 97, 192, 315, 472, 669? b**3 - b**2 + 43*b - 123 What is the r'th term of 18, 64, 124, 192, 262? -r**3 + 13*r**2 + 14*r - 8 What is the i'th term of 350, 357, 368, 383, 402, 425? 2*i**2 + i + 347 What is the a'th term of -1779, -1780, -1781, -1782, -1783? -a - 1778 What is the u'th term of -41, -156, -349, -620, -969? -39*u**2 + 2*u - 4 What is the u'th term of -218, -214, -210, -206? 4*u - 222 What is the m'th term of 1005, 2014, 3025, 4038, 5053? m**2 + 1006*m - 2 What is the x'th term of -712, -708, -702, -694, -684? x**2 + x - 714 What is the s'th term of 625, 616, 603, 586, 565? -2*s**2 - 3*s + 630 What is the o'th term of -12, -41, -106, -225, -416, -697, -1086? -3*o**3 - 8*o - 1 What is the r'th term of -7, -15, -19, -19, -15, -7? 2*r**2 - 14*r + 5 What is the y'th term of 154, 266, 390, 532, 698? y**3 + 105*y + 48 What is the j'th term of 1614, 3239, 4870, 6507, 8150, 9799? 3*j**2 + 1616*j - 5 What is the d'th term of -2517, -2516, -2515, -2514, -2513? d - 2518 What is the g'th term of 13, -37, -87? -50*g + 63 What is the s'th term of -38, -63, -100, -155, -234, -343, -488? -s**3 - 18*s - 19 What is the r'th term of -6
{ "pile_set_name": "DM Mathematics" }
the smallest common multiple of 9 and 103? 927 What is the least common multiple of 8 and 1284? 2568 What is the least common multiple of 84 and 56? 168 Calculate the common denominator of 11/11184 and 59/24. 11184 Calculate the lowest common multiple of 126 and 10. 630 Calculate the common denominator of 85/36 and -63/124. 1116 Calculate the smallest common multiple of 35 and 85. 595 Find the common denominator of -50/541 and -65/3. 1623 Calculate the least common multiple of 506 and 2070. 22770 Calculate the common denominator of 99/64 and -9/16. 64 What is the least common multiple of 120 and 32? 480 What is the smallest common multiple of 478 and 1195? 2390 Calculate the smallest common multiple of 125 and 26. 3250 Find the common denominator of -14/5 and -71/60. 60 Calculate the smallest common multiple of 1302 and 3038. 9114 What is the common denominator of 14/11 and 65/12? 132 What is the least common multiple of 40 and 228? 2280 Calculate the common denominator of -41/69 and -145/6. 138 What is the lowest common multiple of 266 and 4? 532 Find the common denominator of 95/72 and -109/504. 504 Find the common denominator of -16/35 and 44/35. 35 What is the common denominator of -39/14 and -121/1380? 9660 What is the common denominator of -3/395 and 109/105? 8295 Calculate the lowest common multiple of 1125 and 325. 14625 Calculate the lowest common multiple of 44 and 231. 924 Calculate the smallest common multiple of 162 and 60. 1620 What is the lowest common multiple of 20 and 80? 80 Calculate the smallest common multiple of 14 and 940. 6580 Find the common denominator of 50/93 and 50/117. 3627 Calculate the smallest common multiple of 399 and 114. 798 What is the smallest common multiple of 291 and 30? 2910 What is the common denominator of 89/96 and -73/1914? 30624 Find the common denominator of -123/10 and 115/8412. 42060 Calculate the smallest common multiple of 276 and 759. 3036 Find the common denominator of 44/1801 and -47/7. 12607 Find the common denominator of -59/3392 and -47/4452. 71232 What is the common denominator of -107/5336 and -97/4? 5336 Calculate the lowest common multiple of 312 and 130. 1560 Find the common denominator of 107/72 and 57/2. 72 Calculate the least common multiple of 2704 and 6760. 13520 Find the common denominator of -30/19 and 29/4. 76 Find the common denominator of -77/10 and 101/378. 1890 Calculate the common denominator of -49/46 and -36/115. 230 Calculate the common denominator of 31/5 and 17/378. 1890 What is the smallest common multiple of 5 and 145? 145 What is the common denominator of 69/124 and -49/310? 620 Find the common denominator of 8/85 and 5/136. 680 Find the common denominator of -85/18 and 49/1318. 11862 Find the common denominator of 41/360 and -95/12. 360 Find the common denominator of -71/1152 and 121/1152. 1152 What is the least common multiple of 100 and 24? 600 Find the common denominator of 39/10 and 101/476. 2380 What is the common denominator of 167/90 and -41/33? 990 What is the common denominator of 7/494 and -52/209? 5434 What is the least common multiple of 246 and 18? 738 Find the common denominator of -36/11 and -71/21. 231 Calculate the common denominator of 43/136 and -25/88. 1496 What is the smallest common multiple of 18 and 20? 180 What is the lowest common multiple of 4 and 45? 180 Calculate the common denominator of -9/1769 and 45/8. 14152 Calculate the common denominator of -59/12 and -71/40. 120 Calculate the lowest common multiple of 35 and 30. 210 What is the common denominator of -119/24 and 145/6? 24 What is the common denominator of -15/236 and 61/2? 236 What is the common denominator of 68/171 and 55/6? 342 Calculate the least common multiple of 224 and 28. 224 Calculate the common denominator of 65/2372 and 49/24. 14232 What is the least common multiple of 452 and 20? 2260 Calculate the common denominator of 101/1128 and 89/120. 5640 What is the smallest common multiple of 1067 and 97? 1067 Find the common denominator of 54/115 and -8/115. 115 What is the common denominator of -71/34 and -56/187? 374 What is the lowest common multiple of 336 and 4? 336 Calculate the lowest common multiple of 13134 and 16. 105072 What is the least common multiple of 300 and 24? 600 Find the common denominator of -49/162 and -32/873. 15714 Calculate the least common multiple of 2 and 5952. 5952 What is the common denominator of -59/495 and -36/385? 3465 Calculate the lowest common multiple of 44 and 16. 176 What is the smallest common multiple of 6 and 36? 36 Calculate the least common multiple of 29 and 53. 1537 What is the common denominator of 31/354 and 37/48? 2832 What is the common denominator of 65/267 and -97/2? 534 What is the common denominator of 13/154 and 28/3? 462 Calculate the smallest common multiple of 17628 and 624. 70512 Find the common denominator of 47/996 and 45/8. 1992 Calculate the smallest common multiple of 92 and 483. 1932 What is the common denominator of -23/216 and 31/27? 216 Calculate the common denominator of 151/174 and 95/116. 348 What is the common denominator of -85/66 and -31/8? 264 Find the common denominator of -65/282 and 46/27. 2538 Calculate the common denominator of -61/32 and -80/399. 12768 Calculate the smallest common multiple of 654 and 21. 4578 Calculate the smallest common multiple of 273 and 819. 819 What is the common denominator of 87/998 and -51/8? 3992 Calculate the common denominator of -14/405 and 26/405. 405 What is the least common multiple of 712 and 6? 2136 What is the least common multiple of 159 and 24? 1272 Find the common denominator of 16/9 and -37/369. 369 What is the lowest common multiple of 33 and 186? 2046 What is the least common multiple of 2 and 40? 40 Calculate the lowest common multiple of 750 and 100. 1500 What is the least common multiple of 6 and 12? 12 What is the common denominator of -8/889 and -40/127? 889 Calculate the common denominator of 101/11502 and -19/6. 11502 Find the common denominator of 17/60 and -49/102. 1020 Find the common denominator of 117/20 and -73/4. 20 Find the common denominator of 26/1179 and 4/1179. 1179 What is the common denominator of -36/47 and -5/22? 1034 Calculate the smallest common multiple of 4 and 6. 12 What is the smallest common multiple of 24 and 948? 1896 Calculate the lowest common multiple of 180 and 80. 720 What is the least common multiple of 900 and 24? 1800 Calculate the least common multiple of 848 and 6148. 24592 What is the lowest common multiple of 60 and 12? 60 Calculate the lowest common multiple of 5472 and 84. 38304 What is the smallest common multiple of 4322 and 10? 21610 Calculate the common denominator of -5/42 and 41/21. 42 What is the smallest common multiple of 7482 and 18? 22446 What is the common denominator of 73/1190 and 67/850? 5950 What is the lowest common multiple of 243 and 72? 1944 What is the smallest common multiple of 42 and 33? 462 What is the least common multiple of 243 and 1026? 9234 Calculate the smallest common multiple of 290 and 660. 19140 Calculate the smallest common multiple of 13806 and 3186. 41418 Calculate the common denominator of -17/7 and -101/1842. 12894 Calculate the lowest common multiple of 1428 and 170. 7140 What is the lowest common multiple of 9 and 1787? 16083 What is the least common multiple of 54 and 90? 270 What is the common denominator of 47/192 and 47/18? 576 Find the common denominator of 95/478 and -77/12. 2868 What is the common denominator of 71/56 and 117/14? 56 What is the smallest common multiple of 3626 and 8? 14504 Calculate the smallest common multiple of 266 and 48. 6384 Calculate the least common multiple of 132 and 432. 4752 Calculate the common denominator of -3/55 and -4/1655. 18205 What is the lowest common multiple of 702 and 780? 7020 What is the common denominator of 23/45 and 4/1035? 1035 What is the common denominator of -53/108 and -103/84? 756 Find the common denominator of -97/40 and -79/40. 40 Calculate the smallest common multiple of 77 and 28. 308 What is the common denominator of 31/116 and -89/10? 580 What is the least common multiple of 1690 and 845? 1690 Find the common denominator of 77/237 and 26/79. 237 What is the common denominator of 5/791 and
{ "pile_set_name": "DM Mathematics" }
707/920) Simplify ((a**(2/7))**27/(a/(a*a/(a*a**(1/3)*a)*a)*a**(-1/3)))**(-13) assuming a is positive. a**(-702/7) Simplify q**(1/19)/(q*q/q**(3/16))*(q/(q**(-4/3)*q))**(-2/73) assuming q is positive. q**(-119597/66576) Simplify z**(8/3)*z**(1/5)*((z*z**(-5))/z)/z*z**(8/9) assuming z is positive. z**(-101/45) Simplify ((l/(l/(((l*l*l/(l**(2/3)*l*l)*l*l)/l)/l)))/l**9)/(l**(-11)*l*l/l**6) assuming l is positive. l**(19/3) Simplify (w**(-3/20)/w*w*w**(-7/2))**(-1/4) assuming w is positive. w**(73/80) Simplify (u**(1/6)/((u/((u/u**4)/u))/u)*u**6*u**(1/9))**(-2/49) assuming u is positive. u**(-41/441) Simplify (i**(6/17)/(i**(-24)/i*i))**(-21) assuming i is positive. i**(-8694/17) Simplify (y*y/(y/y**(-1/2)*y))**(-1/37)/((y**(-1/5)*y*y)/y)**(-22/7) assuming y is positive. y**(6547/2590) Simplify (c**(1/14)/c*c)**(2/67)/((c**(-11)/c)/c)**10 assuming c is positive. c**(60971/469) Simplify (((s**1)**(-50))**(-12/5))**(-11/3) assuming s is positive. s**(-440) Simplify ((n/n**22)/n*n)/((((n*n/(n**(-29)*n))/n)/n)/n)*(n**(-16))**(9/8) assuming n is positive. n**(-66) Simplify (k**6*k**5)/(k**(2/11))**(-9) assuming k is positive. k**(139/11) Simplify (s/(s/(s**(-1/23)/s)))/(s*s**(-3/13)*s)*s**(10/13)/s*s*s**(-11/3)/s assuming s is positive. s**(-463/69) Simplify c*c*c**(-9/5)*c**(4/11)*c/(c*c**(-3))*c*c**(-5/4) assuming c is positive. c**(729/220) Simplify (((z**(-3/5)*z)/((z**(-3/5)/z*z)/z))/((z/z**9)/z**(-6)))**(37/3) assuming z is positive. z**(148/3) Simplify (x*x*x**21*x/x**(-4))/(x**24*x**(-12)*x) assuming x is positive. x**15 Simplify ((((i/(i**(-2/5)*i))/i)/((i/(i*(i**5*i)/i))/i))/(i**(2/3)/(i/i**(-6))))**(-27) assuming i is positive. i**(-1584/5) Simplify (z/(z**(-3)/z)*z*z)**25/(z*z**(-12)/z*z/z**(5/3)) assuming z is positive. z**(563/3) Simplify (c**(3/5)/c*c)**(6/23)/(c*c**(-3/2)*c**5) assuming c is positive. c**(-999/230) Simplify u**(-13/4)/(u*u**16/u)*u*u**9*(u**(-11)*u)/u assuming u is positive. u**(-81/4) Simplify ((i**8)**18)**(3/8) assuming i is positive. i**54 Simplify ((m*m*m/m**(-19))/(m/(m*m**(7/4))))/((m*m/(((m/(m/m**(8/7)))/m)/m)*m)/(m**28*m)) assuming m is positive. m**(1369/28) Simplify (m/m**(-11/4)*m**(-17))**(-28) assuming m is positive. m**371 Simplify (n/n**8)**43/(n**(1/6)*n**10) assuming n is positive. n**(-1867/6) Simplify ((d*d/(d**36*d)*d)/d**(-5/2))**(2/39) assuming d is positive. d**(-21/13) Simplify (s*(((s**1*s)/s)/s)/s*s)**23/(s**(-1/8)*s**(-14)) assuming s is positive. s**(297/8) Simplify a**(-2/5)*a*a/((a**14*a)/a)*(a/(a*a**(1/7)))**(-24/7) assuming a is positive. a**(-2918/245) Simplify (((h**7/h*h)/h)**32)**(-2/51) assuming h is positive. h**(-128/17) Simplify (v*v**0*v)/(v*v*v**(-1/4))*(v*v*v*v/(v/(v*v*v*v/(v*v*v**(-3)*v)*v)*v))/(v**(-3)/v) assuming v is positive. v**(45/4) Simplify (((n**(-2/3)*n)**(-1/7))**(5/13))**18 assuming n is positive. n**(-30/91) Simplify (r**(1/6))**(8/5)*(r**2/r)/r**(-2/11) assuming r is positive. r**(239/165) Simplify (y**3*(y/((y**1*y)/y)*y)/y*(y/(y**(5/8)*y))/y**(-5))**49 assuming y is positive. y**(2891/8) Simplify (h**(-1/5)/h*h**(-9))/(((h**(8/9)/h)/h)/h**(-1/4)) assuming h is positive. h**(-1681/180) Simplify t**(-20/7)/(t**(-3)*t)*(t*t/(t/(((t/(t/(t**11*t*t*t*t))*t)/t)/t)))**(-23) assuming t is positive. t**(-2421/7) Simplify (d**(3/5))**(1/27)*((d/(d*d*d**12))/d)/d**(-13) assuming d is positive. d**(-44/45) Simplify ((a*a*a**(2/7))**(-2/61)/(a**(2/5)*a/((a**1*a)/a)))**(-14) assuming a is positive. a**(2028/305) Simplify (m**(-4/7)/m)/m**(-11/6)*(((((m/m**(4/7))/m*m*m)/m)/m)/m)/(m/m**(2/77)*m) assuming m is positive. m**(-1517/462) Simplify (o*o**(-11))**14/(o/o**(11/5)*o*o**(7/4)/o) assuming o is positive. o**(-2811/20) Simplify (((j/j**1)/j*j)/j)/(j*j**(-4))*j**35/j**32 assuming j is positive. j**5 Simplify (j**14/j*j/j**(-7/4)*j)/(j*j/(j*j/(((j*j**(-4/5)/j)/j)/j*j)))**(-2/83) assuming j is positive. j**(27733/1660) Simplify ((s**(-3/16)*s**(-9)*s)**(-12/5))**(28/9) assuming s is positive. s**(917/15) Simplify (h**7*h*h)/(h*h*h/h**(1/16)*h*h)*(h/(h**(2/7)*h))**(-2/35) assuming h is positive. h**(15989/3920) Simplify (z**17/(z**(1/3)/z))/(z*z**(-4))**(-28) assuming z is positive. z**(-199/3) Simplify c/(c*c**11)*c**(-1)*(c/(c*c**(-9/5)))**33 assuming c is positive. c**(237/5) Simplify ((m*((m/m**1)/m)/m)**39*m**0/m**(1/9))**(4/21) assuming m is positive. m**(-1408/189) Simplify (r/r**(-2/77)*r*r**(-7))**(-28) assuming r is positive. r**(1532/11) Simplify (j**(4/13)*j)**(-1/3)/((j*j**(-1/10))/(j*j**(-27))) assuming j is positive. j**(-10661/390) Simplify ((s**(1/3)/s*s*(s/(s**(2/9)/s))/s)/((s*(s/(s**(-4/9)/s))/s)/(s**(1/5)/s*s)))**(-1/10) assuming s is positive. s**(17/150) Simplify (((c/((c/((c/(c/(c*c**4)*c))/c))/c*c*c))**(10/9))**(-2/75))**(-10) assuming c is positive. c**(16/27) Simplify ((o*o*o**(-24)*o*(o*o/(o**(1/10)*o)*o)/o)**(16/7))**(-9/8) assuming o is positive. o**(1809/35) Simplify ((a**(1/21)*a)/a*((a**(1/9)*a)/a)/a)/(a*a/((a**(3/5)/a)/a)*a**(1/6)/a*a) assuming a is positive. a**(-2777/630) Simplify (c**(-1/6))**(-1/34)/((c**9*c)/c**(2/3)) assuming c is positive. c**(-1903/204) Simplify (((h/(h*h/h**(-2/15)))/h)/(h/(h**(-2/13)/h)))/(h*h/(h**(4/5)/h)*(h**6/h)/h) assuming h is positive. h**(-409/39) Simplify (h**(1/20))**(-25/2)*(h**(7/8))**(-2/63) assuming h is positive. h**(-47/72) Simplify (c**(-7)/c)**(11/4)*(c**(2/5)*c)/c**(-11) assuming c is positive. c**(-48/5) Simplify ((f**4*f*f)/f**(-10))/(f**(-1/4))**9 assuming f is positive. f**(73/4) Simplify ((m*m**13/m)**(-2/63))**(-32) assuming m is positive. m**(832/63) Simplify (k*(k*k/k**(2/5))/k*k)**17/(k/(k**(2/3)/k)*k*k*k)**(1/14) assuming k is positive. k**(9217/210) Simplify ((g**(-2/3)*g)**(3/14))**15 assuming g is positive. g**(15/14) Simplify ((a/(a/(a/(a/((a**(-20)/a)/a*a))*a)))/(a*a**10))/(a**(5/12)/a*a**(2/11)) assuming a is positive. a**(-4039/132) Simplify ((v/(v*v**7/v*v))/v)/v*v*v/(v/v**2)*(v**2)**0 assuming v is positive. v**(-6) Simplify ((u*u*u**4*u*u*u*u*u/(u/u**(-6/5)))**(7/2))**13 assuming u is positive. u**(2002/5) Simplify ((f**(-1/8)/(f/(f/(f*f/f**(6/11)))))**(-35))**(-4/27) assuming f is positive. f**(-4865/594) Simplify (z**(2/25)/(z*z**(2/3)))/(z**(-2/21)*(((z/(z*z**4))/z*z)/z)/z) assuming z is positive. z**(789/175) Simplify ((q/(q/(q*q**(2/25)/q*q*q))*q**(-1/2)/q)/(q**(-6)/(q**(4/5)/q*q*q)))**(-6) assuming q is positive. q**(-1257/25) Simplify (z*z**(-3/5)/z*z)**(26/3)/(z**(1/14))**(-17) assuming z is positive. z**(983/210) Simplify (k/k**(-7/8)*k**(-1/2))**(-11/8) assuming k is positive. k**(-121/64) Simplify (t/t**(2/23))**(-8)*t**(-4)*t*t**(-2/15) assuming t is positive. t**(-3601/345) Simplify (w**(2/13))**(25/3)*(w**(-4))**21 assuming w is positive. w**(-3226/39) Simplify ((g*g*(g*g*g**(-1)*g)/g)/(g*(g/g**2)/g)*g*g/(g/(g**(-4/3)/g))*g/g**1)**(1/3) assuming g is positive. g**(8/9) Simplify (t**(-14/5))**(-5)*(t/(t**(-7)/t)*t*t)/(t*t*t*(t/(t/t**(-3/2)))/t*t*t*t) assuming t is positive. t**(43/2) Simplify (r*r/r**(-1/11))**(-27)*(r*(r*r**(1/14)/r)/r*r)**46 assuming r is positive. r**(-552/77) Simplify ((c/c**(-1/3))**10/(c/(c/c**1))**(-16/9))**(-24/5) assuming c is positive. c**(-1088/15) Simplify ((s*s*s/((s/s**11*s*s)/s)*s)/(s**(-12/7)*s))/(((s*s**(1/7)/s)/s)/s*s**(1/17)) assuming s is positive. s**(1846/119) Simplify (r/(r*r**(-2/15)*r)*r)**(-3/26)/(r*r*(r*r*r**(-2))/r*r*r*r*r)**(-28) assuming r is positive. r**(9099/65) Simplify (((a*a**5)/a*a**(-5))**31)**(5/12) assuming a is positive. 1 Simplify (l**(3/2)/l)**(6/5)/(l**14*l)**(-2/31) assuming l is positive. l**(243/155) Simplify j**(-6)/j*j/(j*j**(-6))*j**4/(j**(-1/5)/j) assuming j is positive. j**(21/5) Simplify ((s*(s/s**(-17))/s*s)/s)**(5/3)/(s**(3/11))**(5/2) assuming s is positive. s**(645/22) Simplify (b**9/(b**(-2/3)/b*b))/((b*((b**(-1/4)/b)/b)/b)/b)**(2/73) assuming b is positive. b**(4273/438) Simplify (m*(m/m**13*m)/m*m)/m*m*m**16*m*(m**(4/23)*m*m)/m*m*m*m*m*m*m*m*m**32*m*m assuming m is positive. m**(1131/23) Simplify ((c*c**(-10))/(c**12/c))/((c/(c*c**(-1/7)/c))/(c/(c**(-2/63)/c))) assuming c is positive. c**(-172/9) Simplify (s**(13/2)/s*s**(-15)/s)/(s*s/(s/s**(-20))*s**16) assuming s is positive. s**(-15/2) Simplify (o**(-22)*o*o*o**(-22)/o*o*o)**(4/9) assuming o is positive. o**(-164/9) Simplify (i/(i**(2
{ "pile_set_name": "DM Mathematics" }
, 3062, 4634, 6264, 7970, 9770, 11682? 3*d**3 + 2*d**2 + 1505*d + 20 What is the k'th term of -9673756, -9673758, -9673760, -9673762? -2*k - 9673754 What is the u'th term of 169, 657, 1465, 2593? 160*u**2 + 8*u + 1 What is the m'th term of 3583, 7169, 10755, 14341, 17927? 3586*m - 3 What is the x'th term of -9713, -19395, -29065, -38717, -48345, -57943? x**3 - 9689*x - 25 What is the f'th term of -71013, -142023, -213033? -71010*f - 3 What is the b'th term of -40, -196, -492, -958, -1624, -2520, -3676, -5122? -5*b**3 - 40*b**2 - b + 6 What is the x'th term of 19835, 39493, 59151, 78809, 98467, 118125? 19658*x + 177 What is the p'th term of 1945, 1700, 1301, 754, 65? p**3 - 83*p**2 - 3*p + 2030 What is the w'th term of -69155, -138302, -207435, -276548, -345635, -414690, -483707, -552680? w**3 + w**2 - 69157*w What is the s'th term of -299, -402, -505, -608, -711, -814? -103*s - 196 What is the v'th term of 123, 485, 1077, 1887, 2903, 4113, 5505? -2*v**3 + 127*v**2 - 5*v + 3 What is the v'th term of 37610, 75219, 112828, 150437, 188046? 37609*v + 1 What is the a'th term of 712, 2589, 5646, 9889, 15324? a**3 + 584*a**2 + 118*a + 9 What is the w'th term of 2696, 2690, 2684? -6*w + 2702 What is the p'th term of 247, 233, 209, 169, 107, 17, -107, -271? -p**3 + p**2 - 10*p + 257 What is the b'th term of 605, 704, 843, 1016, 1217, 1440, 1679, 1928? -b**3 + 26*b**2 + 28*b + 552 What is the k'th term of -1102, -2163, -3224, -4285, -5346, -6407? -1061*k - 41 What is the k'th term of 15157, 30292, 45425, 60556? -k**2 + 15138*k + 20 What is the s'th term of 757, 729, 665, 553, 381, 137, -191, -615? -2*s**3 - 6*s**2 + 4*s + 761 What is the h'th term of 39102, 78199, 117296, 156393? 39097*h + 5 What is the x'th term of -13566, -13609, -13680, -13779, -13906, -14061? -14*x**2 - x - 13551 What is the m'th term of -2831, -11337, -25509, -45347? -2833*m**2 - 7*m + 9 What is the s'th term of 19, 238, 903, 2260, 4555? 41*s**3 - 23*s**2 + s What is the u'th term of -5337, -10652, -15967, -21282, -26597? -5315*u - 22 What is the g'th term of 87096, 87093, 87090, 87087? -3*g + 87099 What is the i'th term of -52648, -105286, -157910, -210514, -263092, -315638, -368146, -420610? i**3 + i**2 - 52648*i - 2 What is the t'th term of 219, 775, 1687, 2955, 4579, 6559? 178*t**2 + 22*t + 19 What is the i'th term of 2817, 2780, 2719, 2634, 2525? -12*i**2 - i + 2830 What is the q'th term of 14381992, 14381991, 14381990, 14381989, 14381988? -q + 14381993 What is the v'th term of -240, -493, -742, -987, -1228, -1465? 2*v**2 - 259*v + 17 What is the m'th term of 16046, 32094, 48144, 64196, 80250? m**2 + 16045*m What is the v'th term of 244, 502, 916, 1480, 2188? -v**3 + 84*v**2 + 13*v + 148 What is the s'th term of 4282, 8552, 12822? 4270*s + 12 What is the n'th term of -33363, -33358, -33353, -33348? 5*n - 33368 What is the g'th term of -4352, -4355, -4362, -4373? -2*g**2 + 3*g - 4353 What is the s'th term of -50129, -50140, -50159, -50186, -50221, -50264, -50315? -4*s**2 + s - 50126 What is the x'th term of 1048, 1920, 2792, 3664, 4536, 5408? 872*x + 176 What is the i'th term of 24807, 24819, 24845, 24891, 24963, 25067, 25209, 25395? i**3 + i**2 + 2*i + 24803 What is the l'th term of -29781, -29785, -29789? -4*l - 29777 What is the v'th term of 70, 94, 104, 100, 82? -7*v**2 + 45*v + 32 What is the a'th term of -54315, -108633, -162955, -217281? -2*a**2 - 54312*a - 1 What is the q'th term of -514399, -1028795, -1543191, -2057587, -2571983? -514396*q - 3 What is the l'th term of 3053, 6109, 9171, 12239? 3*l**2 + 3047*l + 3 What is the w'th term of -23, -68, -159, -314, -551, -888, -1343, -1934? -3*w**3 - 5*w**2 - 9*w - 6 What is the y'th term of -261639, -523274, -784909, -1046544, -1308179, -1569814? -261635*y - 4 What is the f'th term of 4746, 38013, 128314, 304167, 594090, 1026601, 1630218? 4753*f**3 - f**2 - f - 5 What is the o'th term of 1809, 3546, 5241, 6888, 8481, 10014, 11481? -o**3 - 15*o**2 + 1789*o + 36 What is the z'th term of 146, 299, 454, 611? z**2 + 150*z - 5 What is the d'th term of -1100, -2202, -3304, -4406, -5508, -6610? -1102*d + 2 What is the q'th term of -351, -1288, -2799, -4884, -7543, -10776? -287*q**2 - 76*q + 12 What is the o'th term of 8061, 16037, 23927, 31731, 39449? -43*o**2 + 8105*o - 1 What is the h'th term of 3996, 3967, 3940, 3915, 3892? h**2 - 32*h + 4027 What is the v'th term of 31219, 62462, 93705, 124948, 156191, 187434? 31243*v - 24 What is the r'th term of -101, 46, 457, 1270, 2623? 23*r**3 - 6*r**2 + 4*r - 122 What is the j'th term of -858, -726, -590, -450, -306? 2*j**2 + 126*j - 986 What is the p'th term of -69404, -69394, -69384? 10*p - 69414 What is the v'th term of 4645, 9089, 13535, 17983? v**2 + 4441*v + 203 What is the m'th term of 229, 473, 717? 244*m - 15 What is the y'th term of 425, 850, 1283, 1730, 2197, 2690, 3215, 3778? y**3 - 2*y**2 + 424*y + 2 What is the o'th term of -68702, -68712, -68736, -68780, -68850? -o**3 - o**2 - 68700 What is the h'th term of 849, 1720, 2595, 3474, 4357? 2*h**2 + 865*h - 18 What is the t'th term of -14672, -29340, -44006, -58670, -73332, -87992, -102650? t**2 - 14671*t - 2 What is the i'th term of 3924, 7789, 11616, 15405, 19156? -19*i**2 + 3922*i + 21 What is the x'th term of -168801, -168803, -168805, -168807, -168809, -168811? -2*x - 168799 What is the u'th term of 185, 394, 659, 1010, 1477? 5*u**3 - 2*u**2 + 180*u + 2 What is the s'th term of -2651, -2854, -3057, -3260, -3463? -203*s - 2448 What is the x'th term of 417, 981, 1545? 564*x - 147 What is the k'th term of 103, 127, 173, 241, 331? 11*k**2 - 9*k + 101 What is the k'th term of 88, 378, 872, 1570, 2472, 3578, 4888? 102*k**2 - 16*k + 2 What is the s'th term of 1706915, 1706922, 1706933, 1706948, 1706967, 1706990, 1707017? 2*s**2 + s + 1706912 What is the j'th term of -51557, -103105, -154653, -206201, -257749? -51548*j - 9 What is the g'th term of 2005991, 2005992, 2005993? g + 2005990 What is the j'th term of 3096, 3079, 3052, 3009, 2944? -j**3 + j**2 - 13*j + 3109 What is the o'th term of 6822, 6834, 6862, 6912, 6990? o**3 + 2*o**2 - o + 6820 What is the w'th term of 971, 1939, 2911, 3887? 2*w**2 + 962*w + 7 What is the a'th term of -10754, -10756, -10760, -10766, -10774, -10784, -10796? -a**2 + a - 10754 What is the o'th term of 250212, 250209, 250206, 250203, 250200, 250197? -3*o + 250215 What is the k'th term of -559, -1067, -1549, -1993, -2387, -2719? 2*k**3 + k**2 - 525*k - 37 What is the v'th term of -28107, -28109, -28127, -28173, -28259, -28397, -28599, -28877? -2*v**3 + 4*v**2 - 28109 What is the c'th term of 244, 240, 238, 238? c**2 - 7*c + 250 What is the o'th term of -19861, -19900, -19965, -20056, -20173? -13*o**2 - 19848 What is the a'th term of -4009, -16049, -36121, -64225, -100361, -144529? -4016*a**2 + 8*a - 1 What is the s'th term of 7033, 28034, 63027, 112006, 174965, 251898, 342799? -s**3 + 7002*s**2 + 2*s + 30 What is the z'th term of 44, 73, 66, -37, -296, -771, -1522? -10*z**3 + 42*z**2 - 27*z + 39 What is the u'th term of 300019, 300018, 300017, 300016? -u + 300020 What is the n'th term of -289, -655, -1021? -366*n + 77 What is the h'th term of -2261, -2266, -2271, -2276? -5*h - 2256 What is the v'th term of -41781, -41804, -41865, -41982, -42173, -42456, -42849, -43370? -3*v**3 - v**2 + v - 41778 What is the u'th term of 1055, 703, 339, -43, -449, -885? -u**3 - 345*u + 1401 What is the l'th term of 107, 320, 703, 1280, 2075, 3112? 4*l**3 + 61*l**2 + 2*l + 40 What is the i'th term of -680860, -680861, -680862, -680863, -680864? -i - 680859 What is the y'th term of 131210, 131221, 131246, 131291, 131362, 131465, 131606, 131791? y**3 + y**2 + y + 131207 What is the t'th term of -42, -51, -26, 33, 126, 253? 17*t**2 - 60*t + 1 What is the b'th term of -2430, -2437, -2430, -2403, -2350, -2265, -2142? b**3 + b**2 - 17*b - 2415 What is the i'th term of -6378543, -6378541, -6378539, -6378537, -6378535? 2*i - 6378545 What is the i'th term of -52, -502, -1738, -4156, -8152? -66*i**3 + 3*i**2 + 3*i + 8 What is the s'th term of -11079, -10739, -10171, -9375, -8351, -7099? 114*s**2 - 2*s - 11191 What is the d'th term of -70278, -140559, -210842, -281127? -d**2 - 70278*d + 1 What is the f'th term of -7094520, -70945
{ "pile_set_name": "DM Mathematics" }
38566597 a composite number? False Is 527455 composite? True Is 16882277 a composite number? False Is 15759679 a prime number? False Is 186549797 prime? False Is 25719703 a composite number? False Is 90949533 prime? False Is 6379453 a prime number? True Is 121748671 composite? True Is 14689399 a prime number? False Is 15551693 composite? True Is 23119909 a prime number? False Is 103345309 a composite number? False Is 1676006 prime? False Is 27544955 a prime number? False Is 2273171 a composite number? False Is 2005277 a composite number? False Is 3280867 composite? False Is 4461539 a composite number? False Is 15431171 a prime number? False Is 17870419 prime? False Is 5380042 a prime number? False Is 1427851 a composite number? False Is 15929959 a composite number? True Is 56773579 a composite number? False Is 89069263 composite? False Is 521081147 a composite number? True Is 9640801 a composite number? True Is 50121179 a prime number? False Is 42741403 prime? True Is 14436197 a prime number? True Is 21914609 composite? False Is 32508001 prime? False Is 33506359 composite? False Is 12078877 prime? False Is 188553 composite? True Is 128030107 composite? False Is 36355831 composite? False Is 125883638 a composite number? True Is 4140359 composite? True Is 25201081 a prime number? False Is 6494819 prime? False Is 3873767 a composite number? False Is 25948609 prime? True Is 4617671 a prime number? True Is 376219061 a prime number? False Is 66473 composite? True Is 7984945 composite? True Is 109526786 a composite number? True Is 285377 a prime number? True Is 5377819 a prime number? False Is 920555 prime? False Is 428980927 a composite number? True Is 77004149 prime? False Is 134023865 prime? False Is 75020489 a composite number? False Is 9089461 composite? False Is 10112431 a composite number? True Is 228328885 prime? False Is 7598159 a composite number? False Is 577019 a composite number? True Is 176861543 a composite number? False Is 5778491 a composite number? False Is 13945539 a prime number? False Is 4706503 a prime number? True Is 1407221873 a prime number? True Is 14324339 composite? False Is 2516567 composite? False Is 4478377 composite? True Is 58561627 composite? True Is 29874034 composite? True Is 3427001 a prime number? False Is 3700771 composite? False Is 473115073 composite? True Is 95083649 a composite number? False Is 9310087 a prime number? True Is 5194337 prime? True Is 39761 a composite number? False Is 7544233 a prime number? True Is 2758333 a prime number? False Is 6618653 composite? False Is 19629167 a composite number? False Is 351458951 a composite number? False Is 7337221 a composite number? False Is 9297614 a composite number? True Is 118861 a prime number? True Is 676881043 a composite number? True Is 15006071 composite? False Is 20000665 a composite number? True Is 6598589 composite? False Is 3795071 a prime number? False Is 692239 a prime number? True Is 243131359 prime? True Is 4140259 a prime number? True Is 3828941 composite? False Is 307438435 composite? True Is 2005823 prime? False Is 20350753 prime? True Is 3006337 prime? False Is 233783479 a composite number? False Is 63193379 composite? False Is 42305773 a prime number? False Is 12446603 composite? True Is 4402391 composite? True Is 40191623 composite? True Is 2325559 a composite number? False Is 1033986473 a prime number? False Is 82231711 a composite number? False Is 429449 prime? True Is 28566907 a composite number? False Is 15581 a composite number? False Is 472655 a composite number? True Is 97378313 composite? True Is 1019927 a composite number? False Is 1918461 a composite number? True Is 79291951 composite? False Is 2638289 a prime number? False Is 2872187 prime? True Is 622151 a prime number? True Is 8579341 a composite number? False Is 93352801 a prime number? True Is 12466457 composite? True Is 3326249 a composite number? False Is 593471 a composite number? True Is 195784079 composite? False Is 5522587 a composite number? True Is 2104427 composite? True Is 40858163 a prime number? True Is 56214553 a composite number? True Is 107441 a composite number? False Is 47860997 prime? False Is 147276533 prime? True Is 38409667 prime? False Is 581729 a prime number? True Is 483645433 a prime number? True Is 17350987 a prime number? False Is 17660609 a prime number? True Is 123292049 prime? True Is 1705831 composite? True Is 41779973 a prime number? True Is 58478519 a composite number? True Is 3397967 a composite number? False Is 21742111 a composite number? False Is 9498889 a prime number? True Is 14507587 a prime number? True Is 5106689 composite? True Is 38472683 a composite number? True Is 85669561 composite? True Is 644957461 prime? True Is 356591 a prime number? True Is 961063 prime? True Is 7218503 a composite number? False Is 1161779 a prime number? False Is 4922483 prime? False Is 46450391 a prime number? False Is 175883291 composite? False Is 368340449 a prime number? True Is 488336991 prime? False Is 8646221 a composite number? False Is 4751021 prime? False Is 1042309 a composite number? False Is 20503453 a composite number? False Is 5846831 a composite number? False Is 59038141 prime? False Is 16016293 prime? False Is 211684541 prime? True Is 9611933 a composite number? True Is 5104303 prime? True Is 32166653 a composite number? True Is 3030983 a composite number? True Is 100983703 composite? False Is 202993391 a prime number? True Is 226261037 prime? True Is 238360531 composite? True Is 36038533 prime? True Is 4012583 a composite number? True Is 1901267 composite? False Is 2329919 prime? False Is 4625321 prime? True Is 2360890849 a composite number? False Is 6101531 prime? True Is 12273761 prime? True Is 19407091 prime? False Is 12643126 prime? False Is 797741 prime? False Is 13396277 a composite number? False Is 8251663 prime? False Is 1554362255 composite? True Is 1538897 a prime number? False Is 322679015 a composite number? True Is 61359185 prime? False Is 50037793 composite? True Is 9233191 a prime number? False Is 996572821 a prime number? False Is 28390093 composite? True Is 128813 prime? True Is 157393 a composite number? False Is 64017539 a prime number? True Is 170460863 a composite number? False Is 2618519 prime? False Is 630076409 a composite number? True Is 15565247 a composite number? True Is 148507 a prime number? False Is 57113431 a composite number? False Is 68192167 a composite number? False Is 4889879 a composite number? False Is 43065445 a composite number? True Is 4171249 prime? False Is 132383 prime? True Is 14828317 composite? True Is 5559557 a composite number? True Is 372629 a composite number? False Is 1604257 a prime number? False Is 12540617 composite? True Is 59002981 a composite number? True Is 14690129 a composite number? True Is 14708879 a prime number? True Is 2160671 composite? False Is 2285291 composite? False Is 163915493 a composite number? True Is 8819381 prime? True Is 17116961 a composite number? True Is 47190443 a composite number? False Is 2447707 prime? False Is 10697203 a composite number? True Is 246452803 a prime number? True Is 50801329 a prime number? False Is 48731 a composite number? False Is 18529859 prime? False Is 124339031 composite? False Is 24037315 composite? True Is 54064151 a prime number? True Is 8378861 prime? False Is 525525901 composite? True Is 665527 a prime number? True Is 58001921 a composite number? True Is 290449213 composite? False Is 24159 composite? True Is 59503439 prime? True Is 207965627 composite? True Is 42607561 a composite number? False Is 186237607 a composite number? True Is 2113207 a composite number? False Is 105239517 prime? False Is 4712441 prime? False Is 37079 a composite number? True Is 894155 prime? False Is 6744401 prime? False Is 1305499511 a composite number? False Is 565141 prime? False Is 14212943 composite? False Is 262307 prime? False Is 4198241 composite? True Is 16351 prime? False Is 1964537 prime? False Is 19179073 a prime number? True Is 828154 a composite number? True Is 58248479 prime? True Is 430557 a composite number? True Is 21211577 composite? False Is 15649163 composite? True Is 577297 a prime number? False Is 639833 a prime number? True
{ "pile_set_name": "DM Mathematics" }
ve 3*g + 5 = -l + 4, f*g - 5 = -5*l for g. -1 Let v be (3/5)/(4/20). Suppose -v - 2 = -m. Solve 2*q + b = m*b + 2, -5*q + 3*b + 5 = 0 for q. 1 Let z be 64/12*(2 + -5). Let n be (-16)/(-6)*(-24)/z. Solve 0 = 2*c - j - 10, 0 = -3*j + 4*j + n for c. 3 Suppose -2*u = -u - 26. Let w be 4/u - 400/(-104). Solve -5*a = -0*a + b - 17, 25 = w*a - 3*b for a. 4 Let g(w) = w - 4. Let x be g(0). Let d be (-3)/(x/(-2) - 3). Solve 0*m + 31 = 4*m + 3*i, -d*i - 5 = -5*m for m. 4 Let u(x) = -2*x**2. Let v be u(-2). Let q(g) be the first derivative of g**2/2 + 13*g + 2. Let y be q(v). Solve -2*d + 0*z + 2*z = 2, -3*z + 35 = y*d for d. 4 Let f(t) be the second derivative of -t**5/20 + 5*t**4/12 + 7*t**3/6 - t**2 + t. Let o be f(6). Solve 0*d + 2 = 4*b + 2*d, -o = -5*b - 4*d for b. 0 Suppose m - 3*m = 0. Suppose -6*l + 3*l + 6 = m. Let g(y) = 2*y**2 - 9*y + 8. Let k be g(6). Solve 0*c + 4 = -4*d - l*c, -k = 2*d - 5*c for d. -3 Suppose 0*v + 7*v = 70. Solve 5*i + 22 = -c, -v = 2*i + 5*c - 4*c for i. -4 Suppose -x + 6 = x. Suppose 3*j + 0*j - 6 = 0. Suppose 4*v - 2*k - 8 = 2*k, j*v - 4 = 5*k. Solve -8 = 5*d - v*p, p - 1 = x*d + 4 for d. -2 Let s = -29 - -19. Let m be (-3)/2*s/3. Solve -m*k - 12 = 4*w, 5*k = -5*w + k - 15 for w. -3 Suppose 0 = 2*w - 3*w - 2*t + 4, -2*t - 8 = -2*w. Solve 3*u + 6 = -w*j - 2, 2*j - 5*u = -30 for j. -5 Let n = -3 + 1. Let h be n/10 + 19/(-5). Let r = h + 8. Solve -f + 3*f + r*o - 16 = 0, 26 = -3*f + 4*o for f. -2 Let t = 16 - 32. Let y be (t/10)/((-1)/10). Solve -x + i - 5 = 0, 8*i - 4*i = 2*x + y for x. -2 Let x(s) = s + 5. Let u be x(-3). Suppose 5*p = -0*b - b + 18, 6 = u*p + b. Suppose 4*c = 5*k - 1, -p*c - 5*k + 9 = -0. Solve 5*w = -3 - 7, c = 3*n + w for n. 1 Let j = -57 - -38. Let p = -29 - -73. Let k = j + p. Solve 0 - 10 = 5*d - 3*c, -4*d - k = c for d. -5 Suppose 15 = 5*v - 55. Let z(g) = -6*g**2 + g + 2. Let f be z(2). Let x = v - f. Solve -3*p + 2 = -4*k - 9, -3*p = 5*k + x for k. -5 Let a be 78/(-21) - (-6)/(-21). Let q = 0 - a. Solve 15 = -p + 5*y, 5*p - q*y + 17 = -16 for p. -5 Let o(y) = y**3 - 5*y**2 + 22. Let r be o(0). Solve -4*a = -2*b + r, -b - 4*a - 16 + 3 = 0 for b. 3 Let g = -50 + 70. Solve 3*n - 5*n = -3*i - 20, 4*i - n + g = 0 for i. -4 Suppose -88 = 4*l - 2*z, 7*l - 2*l = -z - 124. Let g = -17 - l. Suppose 0 = g*n - 4*n - 27. Solve -4*m - n = -4*b + 7, 2*m + 15 = -5*b for b. -1 Let h(l) = l**3 - 13*l**2 + 13*l - 7. Let z be h(12). Solve d = -2*w + 5, 1 = z*w + 2*d - 14 for w. 5 Let a(g) = g**3 + g + 2. Let c be a(0). Solve 0 = y + 5, -4*y = -c*i - y + 23 for i. 4 Suppose 8*v - 45 + 13 = 0. Solve -4*m - 1 - 3 = 2*h, v*h - 2 = 2*m for h. 0 Let q(i) = -i**2 - 4*i + 2. Let t be q(-4). Let g(a) = a**3 + 10*a**2 - 12*a - 9. Let p be g(-11). Solve u + 3*b + t = -4, 5*u + 13 = p*b for u. -3 Let r be (-6)/21 - (-2)/7. Suppose r*l = l - 2. Solve -l*x - 3*u = 2*u - 15, 0 = 4*x - 5*u + 15 for x. 0 Suppose -6 = 2*k - 18. Solve -2*v - 5*q = k, q - 6 = 3*v + 3 for v. -3 Let k = 4 + 7. Solve -w - 3*p + 11 = 0, -w - 2*w = -2*p - k for w. 5 Let c = 0 - -2. Solve 2 = c*v + 7*f - 2*f, 4*f = 3*v - 3 for v. 1 Let r = 10 + 2. Solve -2*s + 13 = s - 5*x, 4*x = 2*s - r for s. -4 Let r(h) = -h**3 - 12*h**2 - 11*h + 1. Let l = -4 + -7. Let i be r(l). Suppose -m + 4 = -i. Solve 5*v - 25 = -3*q, m*q = -0*v + 2*v - 10 for v. 5 Let v = -10 - -14. Solve 2*m + 0*m = -v*c - 22, 4*c - 4*m - 8 = 0 for c. -3 Let c be (-2 - 8/(-2))*2. Suppose -c*w - 2*q + 6 = 0, -3*q + 3 = w + 2*w. Solve 6*t = -2*l + w*t - 6, 0 = -5*l - 2*t - 7 for l. -1 Let p(f) = f**2 + 3*f + 2. Let i be p(3). Let m be (0 - 4/(-6))*-18. Let d = m - -16. Solve -s = 0, s = -d*a - 0*a - i for a. -5 Let m = 0 + -16. Let v = -22 - m. Let d = -4 - v. Solve 3 = -3*q, i - d*i - 4*q = 0 for i. 4 Let y(x) = x**2 - 10*x + 13. Let n(d) = -d**3 + 1. Let s be n(-2). Let r be y(s). Let o be 8/(-6)*(-30)/r. Solve -2*l - 2*v + o = -0*v, -5*v = l - 13 for l. 3 Let d be (-2 - (-4 - -4)) + 7. Suppose 18 + 22 = 3*b + n, d*b = n + 72. Solve -2*i - 4*r = b, -3*i = -5*r + 2*r + 3 for i. -3 Suppose -4*a + 6 = -a. Let s = -2 + a. Let p be (-64)/(-14) - 21/(-49). Solve p*q - 12 = 2*u, -2*q + u + 1 + 3 = s for q. 4 Let c(b) = b**3 + 2*b**2 - b + 3. Let j be c(-3). Let t be 3 + j + 3 + 0. Solve 0 = -5*m - 5, p + 7 = 3*p + t*m for p. 5 Let o be (12/(-10))/((-3)/10). Let y(h) = h - 5. Let b be y(6). Let j = b - -1. Solve -a + 0*c - o*c = 11, 2*c = -j*a - 10 for a. -3 Let t be 4/3 - (-2)/3. Suppose -t*f = -4*f + 6. Solve 0 = -6*x + 3*x - f*a - 12, -4*x - 16 = 5*a for x. -4 Let a be 7/(-21) + 48/9. Solve -a*z - 7 = -r, -z + 2*r - 7*r = 17 for z. -2 Let h = 5 + -3. Suppose 2*d = -0*a + a + 6, -h*a - 3*d = -16. Solve 3*i = a*l + 13, -4*i + 0 + 4 = 4*l for l. -2 Let s(m) = -m**2 - 3*m - 2. Let z be s(-2). Suppose -3*b + 4 = -71. Solve z = -5*i - 6*o + o + b, 4*i - 3*o + 8 = 0 for i. 1 Let u = 34 - 29. Solve -u*c + 3*o + 7 = 0, -5*o - 5 = -0*c - 5*c for c. 2 Suppose 5*v + 18 = 4*r - 28, -2*r + 8 = 5*v. Suppose -r = m + 4*o, -2*o + 3 + 3 = 4*m. Solve 5*f = -m*c + 25, 3*f - c - 1 = 14 for f. 5 Let n(k) = -4*k + 1. Let q be n(-1). Suppose 0 = -5*f - 2*i - 0*i + 101, 2*i = -f + 17. Solve -q*x = -2*z, -3*x = 3*z - 0*x + f for z. -5 Suppose 18*l - 12 = 12*l. Solve -3*w = -4*h + 8 - 0, -3*w = h - l for w. 0 Let n be (100/(-6))/(4/(-6)). Suppose -5*w - 6 = -3*w - 4*o, -n = -w - 5*o. Solve d = 3*a - d - 5, -4*a + d = -w for a. 1 Suppose -3 = -3*j, -2*j - 44 = -5*c - 6*j. Suppose 5*q = q + c. Let h = q + 1. Solve -u + 14 = h*r, 21 = -r + 5*r - u for r. 5 Let x be (-2)/(-12) + 1/(-6). Suppose x = 2*g - 4*g. Solve 3*y = 2*y - 3*i - 12, g = -4*i - 16 for y. 0 Let o = 0 - -3. Suppose -y - o*y + 12 = 0. Suppose -2*p - 3*p + 20 = 0. Solve 3*a - 19 = p*v, 8*a + 2*v = y*a - 3 for a. 1 Let k = 20 - 9. Let h = k - 9. Solve -3*a = p + 6, -4*p - h*a = 3*a + 10 for p. 0 Let s = -2 + 1. Let v = -3 - s. Let h = -1 - v. Solve 0 = -5*z + 2*n + 3*n + 40, -3*z - h = 2*n for z. 3 Suppose -20 = 2*a - 7*a. Suppose 28 = 5*t - t. Let q be 16/40 - 23/(-5). Solve t = a*o - m - q, -4*o = -2*m - 8 for o. 4 Let g = -18 + 21. Solve -2*l + 2 + 0 = g*y, 0 = 3*l - 3 for y. 0 Suppose -4*t + 5*i + 14 = 0, -4*i - 6 = -2*t - i. Let a = t - 4. Solve v - a*j = -0*j + 1, 0 = 5*v + j + 28 for v. -5 Let w = 55 - 55. Solve w = 2*f + 6, -2*h + 6*f = f - 23 for h. 4 Let l be 8*4/(32/4). Solve l*v - 12 = 0, 4*p - v = v - 2 for p. 1 Let r = -1 + 3. Suppose -6 = -2*k - r. Solve k*m + 10 = 2*j, 4*m - m + 15 = 2*j for m. -5 Suppose 0 = -4*g + 2*g - 4*u - 6, 0 = u + 3. Suppose -4*l = -g - 21. Suppose -a = -l*a + 5*i + 5, -2*a = -5*i - 2. Solve 4*v = -0*v + 12, -v = -2*w + a for w. 2 Let y = -1 - -3. Let a(k) = k**2 + k - 3. Let w be a(2). Solve -5*p = -w*o - 5, -p + y*o = p - 2 for p. 1 Let x(r) = r**2 + 8*r - 13. Suppose 5*s - 66 + 6 = 5*o, s - 2 = 0. Let z be x(o). Suppose z - 22 = -5*l. Solve -5*b + 21 = l*n, 0 = -3*n + 8*n - 3*b - 1 for n. 2 Let w be 3/(-12) - 1/(-4). Suppose -4*y - 4*p = -w*y - 16, 3*p + 12 = 0. Solve -2*n - 3*g = y, -4*g - 20 = 6*n - n for n. -4 Let b be (-56)/(-21) - 2/3. Let p(n) = n**3 + 7. Let v be p(0). Solve -q - 3*l + b + v = 0, -15 = -3*q - 3*l for q. 3 Let n(m) = -m**2 - 12*m + 6. Let i(z) = -2*z**2 - 24*z + 13. Let a(c) = -2*i(c) + 5*n(c). Let x be a(-12). Solve -4*p - 4 = r + 2, -2*p + x*r + 6 = 0 for p. -1 Let q be 1*(4 + -3 - -2). Suppose q*f - 96 = -f. Solve -2*u - 3*u = 3*r + 5, -f = u - 4*r for u. -4 Let d be 3 - 2 - 1 - 0. Solve -5*k - 2*s + 0*s + 15 = d, 0 = -4*k + 3*s - 11 for k. 1 Suppose -b + 18 + 2 = 4*x, 4*x - 20 = 4*b. Solve 5*i = -2*y + 33, -2*y + b*y + 3 = -i for y. 4 Suppose 2*a + 5*p - 21 = -a, 4*p = a + 10. Solve -7 = t - a*g, 0*t = t + 4*g - 17 for t. 1 Let y be (-24)/(-9) - (-2)/6. Let m = -2 + y. Let z = 0 + m. Solve 0 = 4*d - 16, 3 = 2*c - d + z for c. 3 Let c = -8 - -8. Let j = -4 + 8. Solve c = -j*f + 5*n + 4, 0 = -4*f - f - n + 5 for f. 1 Let v = 181 + -172. Solve 4*s = 2*b, 5*b + 3*s = 2*b + v for b. 2 Let l(i) = i**3 + 7*i**2 + 4*i - 12. Let c be l(-6). Solve c = -2*v + 3*k - 13, -4*v + 8*k = 5*k + 17 for v. -2 Let j(l) = -l**2 + 4*l + 6. Let r be j(6). Let q(k) = k + 11. Let s be q(r). Solve s*t - 23 = 4*b, -5*b + 5*t - 3*t = 16 for b. -2 Let v(h) = h + 4. Let j be v(0). Let r be (-12)/2*12/8. Let c = r + 13. So
{ "pile_set_name": "DM Mathematics" }
divide 60079851? True Is 38983206 a multiple of 15? False Is 57340096 a multiple of 32? True Is 165 a factor of 40248463? False Is 84520922 a multiple of 13? False Is 3475 a factor of 230905311? False Is 601 a factor of 326243835? True Does 868 divide 2586289575? False Is 65248038 a multiple of 9? True Does 2552 divide 74947136? True Does 768 divide 2254174548? False Does 1124 divide 541113756? False Is 135 a factor of 1249553790? True Does 10 divide 64063343? False Is 248054972 a multiple of 142? True Is 2966342975 a multiple of 632? False Is 21 a factor of 2973572679? True Does 64 divide 93341888? True Is 18578424 a multiple of 372? True Is 8 a factor of 1662987? False Is 15 a factor of 1840163955? True Is 25 a factor of 91116075? True Is 21165262 a multiple of 548? False Does 145 divide 462395862? False Is 56746184 a multiple of 589? False Is 720 a factor of 30838012? False Is 519 a factor of 41601483? True Is 387904674 a multiple of 477? False Does 3612 divide 149074736? False Is 141 a factor of 1392998925? True Is 17 a factor of 42473611? False Is 607347116 a multiple of 1764? False Is 65069721 a multiple of 490? False Is 25148441 a multiple of 4? False Is 11 a factor of 2739097767? False Does 506 divide 90279508? True Does 158 divide 588068? False Does 953 divide 227085605? True Does 74 divide 768311649? False Is 207 a factor of 1269316962? True Does 12 divide 278712834? False Is 6 a factor of 415191833? False Is 50 a factor of 41178000? True Does 300 divide 1131836100? True Is 106661088 a multiple of 3030? False Is 437 a factor of 71125246? True Is 2134 a factor of 76395122? False Is 11401578 a multiple of 219? True Is 3975250 a multiple of 250? True Does 173 divide 56890877? True Does 4 divide 6055201? False Is 3011752368 a multiple of 892? True Does 1917 divide 9537744? False Is 1048462 a multiple of 131? False Is 518 a factor of 35055650? True Is 453 a factor of 2567448972? False Is 138718201 a multiple of 15? False Does 554 divide 430672143? False Is 3277300643 a multiple of 29? True Does 631 divide 238592458? True Does 16 divide 4397979? False Is 14 a factor of 68651170? True Is 143623904 a multiple of 113? True Is 636 a factor of 701544252? True Does 109 divide 443692893? True Does 74 divide 5043840? True Is 497 a factor of 115593361? False Does 576 divide 225359424? True Is 114 a factor of 95753730? True Is 36333041 a multiple of 996? False Is 1929320178 a multiple of 354? True Is 3 a factor of 5364761? False Is 5102336 a multiple of 79? False Is 341 a factor of 8406673? True Is 423 a factor of 49928160? False Is 1433 a factor of 534066255? False Is 33 a factor of 190692455? False Does 40 divide 4169080? True Is 2 a factor of 25709088? True Is 18 a factor of 1073513646? True Is 6331 a factor of 392578979? True Is 1430 a factor of 338864329? False Is 61462716 a multiple of 3291? True Is 28408275 a multiple of 255? True Does 11 divide 5561126027? False Is 2203 a factor of 145160076? True Is 12 a factor of 73985374? False Is 871 a factor of 365354649? False Does 4183 divide 72120919? False Is 346 a factor of 61768958? True Is 953 a factor of 450812838? True Is 339 a factor of 29901495? True Is 8 a factor of 174847358? False Is 99059272 a multiple of 221? True Is 80 a factor of 1071474480? True Is 24595526 a multiple of 7312? False Does 5 divide 54624703? False Is 27 a factor of 157045645? False Is 610720648 a multiple of 323? True Does 25 divide 24080725? True Is 1473790955 a multiple of 4305? False Is 24941004 a multiple of 1158? True Is 321 a factor of 90265842? True Does 28 divide 108988684? True Does 291 divide 51989016? False Is 540 a factor of 81605052? False Is 629247645 a multiple of 58? False Is 13661914 a multiple of 93? False Does 22 divide 15396537? False Does 46 divide 30764926? False Is 13919844 a multiple of 214? True Is 40536561 a multiple of 13? True Does 867 divide 960841857? False Is 4 a factor of 74719454? False Does 5 divide 74414750? True Is 88063759 a multiple of 225? False Is 139696410 a multiple of 2701? False Is 24 a factor of 1266636744? True Is 351911629 a multiple of 1540? False Is 10 a factor of 1276988170? True Does 1320 divide 53867880? True Is 5 a factor of 1106664? False Is 62 a factor of 120124690? True Is 140923860 a multiple of 3540? True Does 9 divide 3064921? False Is 542 a factor of 16494144? True Does 6 divide 10019097? False Is 31260096 a multiple of 16? True Is 32813133 a multiple of 100? False Is 1447550 a multiple of 425? True Is 926 a factor of 1206419654? True Does 44 divide 182173992? True Does 8 divide 149290020? False Is 2 a factor of 3850901? False Is 3103 a factor of 1517987600? True Is 7228 a factor of 2591904779? False Does 71 divide 636123137? False Does 111 divide 16249179? True Is 21 a factor of 70736635? False Is 228 a factor of 168394885? False Is 62 a factor of 31021275? False Does 279 divide 279512244? True Is 5327834 a multiple of 451? False Is 32 a factor of 118961985? False Does 676 divide 258720947? False Is 5059 a factor of 638088135? False Is 228 a factor of 8707267? False Is 28684999 a multiple of 5? False Does 340 divide 29509757? False Is 2316477407 a multiple of 763? False Does 2418 divide 1108907521? False Is 13830544 a multiple of 1196? True Is 704371779 a multiple of 944? False Does 302 divide 1044711235? False Does 21 divide 1574223? True Is 193919529 a multiple of 127? False Does 2046 divide 161107770? False Is 93 a factor of 2386566? True Does 2 divide 10164875? False Does 327 divide 59279541? True Is 15 a factor of 104473605? True Is 58 a factor of 101830228? False Is 127469062 a multiple of 39? False Does 452 divide 35513257? False Is 3236520 a multiple of 659? False Is 827449477 a multiple of 277? False Is 277911234 a multiple of 1483? True Is 10 a factor of 150219119? False Is 295385875 a multiple of 125? True Does 8154 divide 482716800? True Does 187 divide 820529? False Is 24 a factor of 491460743? False Is 17 a factor of 2158007536? False Is 4836051 a multiple of 9? True Does 112 divide 28771972? False Is 4549 a factor of 886291321? False Does 1427 divide 92874857? False Does 3112 divide 31568128? True Does 6445 divide 884730737? False Is 14814309 a multiple of 337? False Does 10 divide 3028225520? True Is 51 a factor of 50622933? False Does 1517 divide 552431519? False Does 1358 divide 24738686? True Is 203 a factor of 1684465986? True Is 34 a factor of 1154719968? True Is 198013377 a multiple of 4? False Is 266146237 a multiple of 2771? True Does 20 divide 30251760? True Is 70908765 a multiple of 1437? True Is 1432 a factor of 41194344? True Does 4 divide 3262717? False Is 64472551 a multiple of 121? True Is 23 a factor of 66135155? False Is 28 a factor of 1290479791? False Does 654 divide 498214584? True Is 10 a factor of 19410028? False Does 4 divide 495619355? False Does 9976 divide 45869648? True Does 58 divide 61271450? False Is 2074237914 a multiple of 14? True Does 746 divide 35103935? False Is 1424572990 a multiple of 20? False Is 165420156 a multiple of 6? True Is 32 a factor of 85511008? True Does 158 divide 39693492? False Does 3018 divide 755713236? True Does 532 divide 2628201? False Is 225841995 a multiple of 87? True Is 292 a factor of 36551207? False Is 136619 a multiple of 673? True Does 180 divide 599934420? True Is 44252023 a multiple of 1403? True Is 180280495 a multiple of 37? False Does 2437 divide 1555032641? True Is 23184079 a multiple of 1669? True Does 14 divide 25637682? True Is 104 a factor of 31492289? False Is 208905989 a multiple of 5126? False Is 2240153 a multiple of 4? False Is 8829437 a multiple of 70? False Is 8 a factor of 62900043? False Is 90408083 a multiple of 160? False Does 39 divide 30937879? False Does 1838 divide 6018413? False Is 5 a factor of 78607332? False Is 45577011 a multiple of 10? False Is 2 a factor of 42631052? True Does 11 divide 286807377? False Is 150 a factor of 74536692? False Does 138 divide 1182828084? True Does 132 divide 275444389? False Does 147 divide 46090617? False Does 12 divide 69154188? True Is 5431693 a multiple of 8? False Is 7274333 a multiple of 1199? True Is 108 a factor of 21923620? False Is 103454529 a multiple of 237? True Is 124 a factor of 10073953? False Does
{ "pile_set_name": "DM Mathematics" }
0. Let y(u) = -u**2 + 8*u - 4. Calculate y(j). 8 Let k(p) = 2*p**3 - 12*p**2 - 3*p + 1. Let m = 100 + -230. Let s = -133 - m. Let g(l) = l**3 - 11*l**2 - 2*l + 1. Let w(y) = s*g(y) + 2*k(y). Determine w(-9). -1 Let s(w) = 1840*w + 3 - 650*w - 1 - 602*w - 632*w. Determine s(2). -86 Let t(s) = -5*s - 2. Suppose q - 42 = -5*l, 4*l + 14 - 44 = q. Give t(l). -42 Let z = -194307 - -194318. Let s(d) be the second derivative of -d**3/6 - 2*d**2 - d. Give s(z). -15 Let q(l) = -46*l - 199596 + 0*l + 199810 + l**3 - 40*l**2. Determine q(41). 9 Let y(d) = -3*d + 14. Let h(j) = j**2 + 13*j + 28. Let t be h(-7). Let r be y(t). Suppose -2*p - 12*p + r = 0. Let l(x) = -4*x - 3. Calculate l(p). -19 Let i(j) = -j**3 - 7*j**2 - 7*j - 11. Suppose 8 = -5*s + 113. Let x(g) = -g**3 + 22*g**2 - 13*g - 174. Let a be x(s). What is i(a)? -5 Let w = -578 - -590. Let x(u) = -3 + 3 - 8*u + 21*u + 9 - w*u. What is x(-16)? -7 Let b(v) be the first derivative of 5*v**4/2 - v**3 + v**2 + v + 700. Determine b(2). 73 Let z(k) be the first derivative of -k**3/3 + 8*k**2 + 24*k + 865. Give z(17). 7 Let s(t) be the third derivative of -t**6/80 - t**5/30 - 49*t**4/6 + 4*t**2 + 3*t. Let b(j) be the second derivative of s(j). What is b(3)? -31 Let f(k) be the first derivative of -k**2/2 - 2*k - 87. Suppose -2*d - 4 = -18. Let l = 0 - d. Determine f(l). 5 Let y(k) = 0 - 1228*k + 2502*k - 1262*k + 3. Suppose -2 = u - 2*o, -2*u = 4*o - 2 - 18. Calculate y(u). 51 Let n(q) = -333*q + 668*q - 12 + q**2 + 3 - 339*q. Let d be 9/((-810)/420 + 6/14). What is n(d)? 51 Let q be 70/(-56)*(-8)/5. Let o(p) = -75 + 4*p**q - 5*p**2 - 70 + 146. Determine o(-2). -3 Let p(f) = -f + 0*f + 1 + 0*f - f. Suppose -2*a = a - 6, 0 = -5*d + a - 22. What is p(d)? 9 Let o(n) be the first derivative of -5*n**2/2 - 39*n - 74. What is o(-9)? 6 Let g(x) be the third derivative of -x**5/60 + 3*x**4/4 - x**3/6 + 1494*x**2. Determine g(12). 71 Let s(r) = 33*r - 12. Let i(v) = 9*v**3 - 37*v**2 - 18*v + 90. Let g be i(4). What is s(g)? 54 Let w(t) = t**2 - 10*t - 14. Suppose 3*g - 21 = -0*g. Let h(n) = -n**2 + 11*n + 15. Let u(r) = g*w(r) + 6*h(r). Suppose 56*j - 24*j = 224. Calculate u(j). 13 Let q(v) = v**2 + 7*v - 25. Let g be (12/10)/(210/(-1400)). What is q(g)? -17 Let f(o) = 120*o + 105. Let r(w) = 9*w + 8. Let t(b) = -2*f(b) + 27*r(b). Calculate t(8). 30 Suppose -13 = -m - 2*f, 5*m - 5*f = 11 - 6. Let c(j) = -14*j**2 + 10*j - 9. Let o(z) = -5*z**2 + 3*z - 3. Let g(d) = 4*c(d) - 11*o(d). Give g(m). 7 Let w(z) = z**2 - 15*z - 19. Let l = -2248 - -2263. Calculate w(l). -19 Let p(w) = w**2 - 5*w + 1. Let k be (-2 - 19)*1/1. Let z(o) = -2*o**3 - 42*o**2 + 3*o + 69. Let c be z(k). Calculate p(c). 7 Let r(x) = -63*x - 2. Let y(d) = -172*d - 7. Let l(w) = -11*r(w) + 4*y(w). Let i(k) = -6*k + 1. Let f be i(1). Determine l(f). -31 Let z(w) = -2*w**2 + 31*w + 16. Let t(p) = 3*p**2 - 47*p - 28. Let y(u) = 5*t(u) + 7*z(u). Determine y(19). -9 Suppose -58*v + 3*j = -63*v + 109, 5*v - 4*j = 158. Let y(w) = 2*w - 71. Calculate y(v). -19 Let u be 1/(-2 - (-25)/10). Suppose -u*s = 8, 5*q - 3*s - 8 = 3*q. Let w(n) = 5 + 1 - 24*n - 3 + 27*n + 2*n**2. Give w(q). 5 Let f = 84 - 106. Let s(x) = -x - 20. Let g be s(f). Let y(t) = t**3 - 3*t**2 + t. Calculate y(g). -2 Let b(s) = -6*s + 17. Suppose 4*o - 322 = 3*z - 312, o = -2*z - 14. What is b(o)? 29 Let t(x) = x**3 + 8*x**2 + 7*x - 8. Let d be 6/9*-1 + (-592)/3. Let p = d + 99. Let l = p + 92. What is t(l)? -8 Let f(n) = -10*n + 27. Let s(m) be the first derivative of -6*m**2 + 26*m + 248. Let a(i) = -7*f(i) + 6*s(i). What is a(-15)? -3 Let s(m) be the first derivative of m**4/2 - m - 4410. Let b(d) = -3*d**3 - 2*d**2 + 1. Let t be b(-1). What is s(t)? 15 Let v = 110 + -48. Let p = v + -80. Let j(f) = f + 19. Let q be j(p). Let h(g) = -6*g - 1. What is h(q)? -7 Let z(m) = 9*m**2 + 164*m - 165. Let g be z(1). Let y(a) = -a**3 + 8*a**2 + a - 14. Calculate y(g). -6 Suppose k = -4*k + 15. Let j(n) = -59*n + 2. Let i(b) = -104*b + 5. Let s(r) = -4*i(r) + 7*j(r). Give s(k). 3 Suppose 4*n - 15*n - 160 = -51*n. Let h(t) = t**3 - 7*t**2 + 12*t - 8. Determine h(n). -8 Let a(r) = r**2 - 44*r + 10. Let j be ((20/4)/(-5))/(221/(-44) - -5). Calculate a(j). 10 Let c(p) = p**3 - 5*p**2 - p + 10. Let y(f) = -f - 11. Let b be y(-16). Let h(m) = 2*m**3 - 8*m**2 - 2*m + 20. Let g(a) = b*c(a) - 2*h(a). Determine g(9). 1 Let b(a) be the first derivative of 15/2*a**2 + 0*a + 1/120*a**6 - a**3 + 1/24*a**4 - 1/10*a**5 - 10. Let i(h) be the second derivative of b(h). What is i(6)? 0 Let d be (24/9 - 0)*(-2 - -5). Suppose 10*l = 9*l - d. Let z(b) = b**3 + 8*b**2 - 2*b - 11. Give z(l). 5 Suppose 164*r + 299 = 1119. Let j(m) = -m**2 + 9*m + 17. Calculate j(r). 37 Let q(d) = -91*d + 184. Let j(b) = 60*b - 125. Let t(w) = 8*j(w) + 5*q(w). Determine t(5). 45 Let o be 6/((-198)/625) + (5 - 501/99). Let x(r) = 25*r + 483. Give x(o). 8 Let x(l) = -l**2 - 13*l - 3. Let o(f) = 169*f**2 - 67 + f - 338*f**2 + 170*f**2. Let s be o(7). Calculate x(s). 19 Let l(c) = -876*c**2 + 1755*c**2 + 213 - 3*c - 880*c**2. What is l(-16)? 5 Let s(p) = 22*p + 38. Let a(b) = -21*b - 28. Let o(h) = 87*h + 113. Let q(u) = -9*a(u) - 2*o(u). Let l(d) = -7*q(d) + 5*s(d). What is l(-6)? -22 Let w(r) = -2*r**2 + r + 1. Let c(p) = 19*p**2 - 14*p + 1. Let d(i) = -c(i) - 9*w(i). Determine d(4). -6 Let g(r) = 6*r - 5. Let w = 765 + -761. Suppose 4*f - 3*l = 0, -15*f = -14*f - w*l + 13. Determine g(f). 13 Let g(p) = p**3 + 3*p**2 + 2*p + 1. Let v(k) = 5*k**3 + 26*k**2 + 1. Let f(x) = -6*g(x) + v(x). What is f(4)? 11 Suppose 27 = -7*f + 8*f. Let h be (-9)/f*(2 - 5). Let j(o) = 24*o**2 - o + 1. Determine j(h). 24 Let c(r) = 3*r**3 + 11*r**2 + 11*r + 13. Let u(q) = -2*q**3 - 8*q**2 - 9*q - 11. Let j(k) = -3*c(k) - 4*u(k). Give j(-3). 14 Let x(y) = -y - 1. Let u = -177 - -94. Let i = -82 - u. Determine x(i). -2 Suppose -4*x + 5 = 101. Let g = -24 - x. Let o(y) = 230*y - 456*y - 9 + 225*y. What is o(g)? -9 Let q(p) = 12*p**2 - p + 2. Let r = -5415 - -5413. Determine q(r). 52 Let u(i) be the third derivative of 0 + 1/120*i**6 + 4*i**2 + 1/4*i**4 - 7/60*i**5 + 4/3*i**3 + 0*i. Give u(6). 8 Let b = 24 - 31. Let x(z) be the first derivative of -1/3*z**3 - 5/2*z**2 + 9*z - 9. Determine x(b). -5 Let a(g) = -g**2 - 14*g + 9. Let f be (-188)/18 - (1176/(-189))/14. What is a(f)? 49 Let y(h) = -h**3 - 10*h**2 + 10*h - 3. Suppose g - 168 = -5*g. Let u = g + -24. Suppose -u*k = 44 - 0. Calculate y(k). 8 Let h(k) = k + 3*k + 0 + 2. Let z be h(-2). Let q(f) = -134*f**2 + 31*f + 14. Let l(r) = -115*r**2 + 26*r + 13. Let p(c) = 7*l(c) - 6*q(c). Determine p(z). -5 Let r(a) = 36*a**2 + 2*a - 4. Let d(s) = s**2 - 1. Let h(f) = -6*d(f) + r(f). Let u be h(-1). Suppose 12*o - u = 7*o. Let v(w) = w - 12. What is v(o)? -6 Let z(f) be the third derivative of -f**6/720 + f**5/40 - 31*f**4/12 - 17*f**2. Let c(y) be the second derivative of z(y). Give c(4). -1 Let o(k) = k**3 + 21*k**2 + 41*k + 59. Let d be o(-19). Let y(c) = -3 - 5903*c + 5902*c + 5 + c**d. What is y(-2)? 8 Let y(x) = 5*x - 33. Let r be y(6). Suppose -2*f - 10 = -7*f. Let d(o) = -3*o**2 - 2*o - 1. Let k(z) = -z**2 - z - 1. Let n(i) = f*k(i) - d(i). Determine n(r). 8 Let d(f) = -203*f + 80*f + 130*f + 148. Calculate d(-22). -6 Let w(k) be the second derivative of -k**4/12 + 9*k**3/2 - 35*k**2/2 - 259*k + 1. What is w(26)? -9 Let t(u) = 16*u**2 - 31*u - 41. Let z(s) = -7*s**2 + 14*s + 20. Let r(o) = -6*t(o) - 14*z(o). Give r(7). -6 Let h be (-61 - -58) + (25 - 1). Suppose -h*q - 5 + 47 = 0. Let f(i) = -i**3 - 1. Determine f(q). -9 Let u(y) be the second derivative of -y**3/3 + 3*y**2 - 1189*y. Calculate u(7). -8 Let i(l) = -l - 1. Let c = 0 + 3. Suppose 9*v - 14*v + 25 = 0, -3*v = -n + 18. Suppose -36*j - c = -n*j. What is i(j)? 0 Let x(n) = n**3 - 21*n**2 + 22*n - 30. Let m be ((330/8)/(-11))/((-51)/272). What is x(m)? 10 Let b(z) = z**2 - z - 59. Let l be (-13 + 9)/(2/5). Give b(l). 51 Let c be (-556)/(-973)*(-7)/(-2). Let w(j) be the second derivative of 0 - j + 1/2*j**2 - 1/2*j**3 + 1/20*j**5 - 1/12*j**4. Calculate w(c). -1 Suppose 26*m + 144 = -118*m. Let d(s) = 13*s + 14. Determine d(m). 1 Suppose 29 = 3*d - b, -3*d + 3*b + 9 = -18. Suppose 0 = -3*o - d*z + 6*z - 13, 1 = -z. Let g(w) = w**2 + w + 3. What is g(o
{ "pile_set_name": "DM Mathematics" }
ing order. 1, 3, v, 5 Let i = 0.2 - 0.1. Suppose 0 = -4*m + 2*g - 29 - 67, g + 90 = -4*m. Let s = 47/2 + m. Put s, 1, i in descending order. 1, s, i Let x = -0.41 + 2.43. Let a = -0.12 + 0.1. Let m = a + x. Sort -0.1, m, -4. -4, -0.1, m Let f = -95 - -94.5. Put -5, -4, f in ascending order. -5, -4, f Let q(b) = -b**3 + 8*b**2 + 9*b + 1. Suppose -4*a = -16, -5*l - 3*a + 47 + 10 = 0. Let z be q(l). Sort z, -0.2, 0.5. -0.2, 0.5, z Let h(p) = -4*p**3 - 3*p**2. Let m be h(-2). Suppose 0 = b + m - 2. Let l = b - -13. Put 0.3, l, -0.4 in increasing order. l, -0.4, 0.3 Let k = -31 + 401/13. Sort k, 21, -1/4, -3. -3, -1/4, k, 21 Suppose 0*f = 2*l + 4*f - 20, f = 3*l + 5. Sort 5, l, 2, -5 in decreasing order. 5, 2, l, -5 Suppose 0 = -4*s - 5*n - 9, -2*s + 0*s = 3*n + 7. Let p = 4.5 + -4.6. Put p, 5, s in descending order. 5, s, p Let u = 0.051 - -0.049. Sort u, 2/13, -1. -1, u, 2/13 Suppose 5 = -4*i + 3*x + 2, 0 = -5*i - x - 18. Put 5/4, 0.1, i in descending order. 5/4, 0.1, i Let d be (-48)/(-22) - 12/66. Suppose -d*f = -0*f + 2. Put 3, f, -5 in descending order. 3, f, -5 Suppose 2*d = j + 10, 0*d - 8 = -4*d + 5*j. Let m = -12 + d. Let w = 19 - 18.6. Put m, -1, w in descending order. w, -1, m Let h(f) = -f + 14. Let g be h(-5). Put 0, 2, g in descending order. g, 2, 0 Let i = 4.1 - 3.1. Let c be ((-2)/(-16))/((-1)/(-2)). Sort i, 3, c in decreasing order. 3, i, c Let w be -6*4/(-72) + (-2)/(-12). Let v be 5/3*6/15. Sort v, w, -1/5 in ascending order. -1/5, w, v Let i(m) = -m + 11. Suppose -4*k + 29 = -s, 0*s = k - s - 11. Let g be i(k). Let p(v) = v**2 + 7*v + 2. Let y be p(-6). Put 1, g, y in ascending order. y, 1, g Let o = 80.4 - 80. Put o, -0.2, 1, 3 in descending order. 3, 1, o, -0.2 Let y = 0.15 + 0.55. Sort y, -0.2, 2. -0.2, y, 2 Let i = 16 + -16. Sort i, 5, -4 in descending order. 5, i, -4 Let h be (6/9)/(22/6). Let k = 1032 - 2165/2. Let r = 49 + k. Put r, h, 0.5 in decreasing order. 0.5, h, r Let r = -2 + 2. Let q be 0 - (4 + 4/(-2)). Let n(k) = 3*k + 2. Let z be n(q). Sort z, r, -1 in decreasing order. r, -1, z Suppose 3*g - 9 = -t + 8, -31 = -4*g - 3*t. Sort 5, 7, g in descending order. 7, 5, g Let g be 2/5 + (-288)/20. Let a = 41 + g. Let y be a/(-5) + (-4)/(-10). Sort 0, y, -3 in descending order. 0, -3, y Let r = -5.6 - -1.5. Let w = -2 + 2.1. Let l = w + r. Put -1/4, l, -0.1 in descending order. -0.1, -1/4, l Let a be (4/6)/((-6)/(-9)). Let s = -14 - -16. Sort a, 3, s in decreasing order. 3, s, a Let c = 7 - 3. Let f be (-1 - -1) + (-2 - -2). Suppose f = -4*h + 7 + 5. Put h, -2, c in descending order. c, h, -2 Suppose 0 = h - 0 + 3. Let b(f) = f**2 + 2*f + 1. Let w be b(-2). Suppose -5*x = -4*c - 20, c + 2*c + 15 = 4*x. Sort w, h, c. c, h, w Let i = -22 + 17. Let u = 0 - i. Sort 4, u, 3. 3, 4, u Let i = -6 + 10. Suppose -2*h - 2 + 14 = 0. Suppose -4*c - 2*g = g + 9, -h = c - 3*g. Put c, i, -1/11 in descending order. i, -1/11, c Let t be -1*(3/(-15) - 0). Let f = -0.15 + 0.25. Sort 1/4, f, t in decreasing order. 1/4, t, f Let p = 70 + -10. Suppose -p = -0*x - 4*x. Suppose 5*h + x = -0*h. Put 4, h, -1 in decreasing order. 4, -1, h Let k = 135/2 + -68. Sort 1/5, -9, k, 3/2 in ascending order. -9, k, 1/5, 3/2 Let u be (2 - 3) + (1 - 0). Let v = -8 - -3. Sort -4, v, u in increasing order. v, -4, u Let o = -0.03 + -0.37. Let v be 1371/(-8) + 1 + -1. Let b = v + 171. Put b, o, 0.2 in ascending order. o, b, 0.2 Suppose 0 = u + 5*c + 19, -u = -2*c - 11 + 2. Sort 0, u, -1 in descending order. u, 0, -1 Let g = 19 - 22. Let u be (-1)/4 - (-3)/12. Suppose 5*a + u*x - 2*x = -9, -3*a + 5*x = 13. Put g, a, 0.5 in increasing order. g, a, 0.5 Suppose 3*r = -2*r - 30. Let n(j) = -j**2 - 6*j - 3. Let m be n(r). Let u be 11/9 - (-16)/(-72). Sort 4, m, u. m, u, 4 Suppose -b - b - 10 = 5*j, -b - 2*j = 5. Let z = -21.4 + 21. Sort b, 5, z in decreasing order. 5, z, b Let p(l) = -4*l**3 + 2*l**2 - l. Let a be p(1). Suppose 0 = -4*k + 3*k. Sort a, k, -4 in decreasing order. k, a, -4 Let s be (-9)/(-6)*116/6. Let q = s - 13. Sort q, -1, -3 in descending order. q, -1, -3 Let r = 10 - 10. Sort 2, -4, r in ascending order. -4, r, 2 Let x be (2/4)/(1*(-1)/(-8)). Sort 1, x, -4. -4, 1, x Suppose -34 = -5*f + 16. Sort 2, 3, f. 2, 3, f Let p = 6 + -11. Sort 0, p, 5 in increasing order. p, 0, 5 Let t(a) = -a**3 + 7*a**2 + 10*a - 11. Let i be t(8). Suppose 0*v - 3*y + 11 = 5*v, 7 = i*v + y. Sort -1, 0, v. -1, 0, v Let x = 21.3 + -21. Sort x, 13, -4 in increasing order. -4, x, 13 Let r be (-1 - -2)/(5/20). Put 5, -4, r, 0 in increasing order. -4, 0, r, 5 Let t = 0.15 - 2.15. Let z = 280 - 11199/40. Let x = z - 83/120. Put t, x, -3/2 in descending order. x, -3/2, t Let n = -8 - -13. Let d be (-1)/(-2)*1*16. Suppose 0 = 3*c - d*c - 5. Sort -4, n, c in ascending order. -4, c, n Let o be (-1)/(-4)*(-6)/(-4). Let m = 0.07 + 2.93. Sort o, m, -2 in increasing order. -2, o, m Let j be ((-55)/(-22))/((-1)/(-10)). Put -3, j, -4 in ascending order. -4, -3, j Let f = 0.16 - 0.16. Put -5/4, f, -0.2, -0.4 in descending order. f, -0.2, -0.4, -5/4 Let q(v) = -7*v**3 - 3*v**2 + 4*v + 11. Let x(d) = -d**3 - d**2 + 1. Let i(l) = q(l) - 6*x(l). Let a be i(4). Let g = -9 + 13. Sort 2, g, a. 2, g, a Let f = 13 - 12. Put f, 5, 3 in decreasing order. 5, 3, f Let x(k) = 3*k - 10. Let u be x(5). Let s be (-2)/(-4)*(-2)/u. Sort 1/3, 4, s in increasing order. s, 1/3, 4 Let j = -111 + 111.3. Suppose 0 = -0*p + 4*p - 4. Sort p, j, -0.5 in decreasing order. p, j, -0.5 Let j be 2*(-7)/(35/(-10)). Put 10, 3, 5, j in decreasing order. 10, 5, j, 3 Suppose -5*o - 35 = 5*d, 4 = -o - 3*d - 7. Put o, -3, -6 in increasing order. -6, o, -3 Let r = -98 - -97.6. Put 6, -1/7, r, 3 in descending order. 6, 3, -1/7, r Let r = -0.17 + 0.87. Sort r, 2/7, -5 in increasing order. -5, 2/7, r Let g = -19 + 18. Let i be -2*(12/(-10) - -1). Sort i, g, -1/4. g, -1/4, i Suppose 3*b = 6*b + 3. Let s be 3 - (-6)/(-2 + b). Suppose r - 3*h + 5 + 6 = 0, 0 = 3*r + 3*h - 3. Put s, r, 2 in increasing order. r, s, 2 Let x be 6/(-9)*(-3)/(-1). Let h = 1.13 - -0.07. Let y = 1 - h. Sort -0.3, y, x in descending order. y, -0.3, x Suppose 3*o - 11 + 2 = 0. Let f = 21 - 20. Let y = f - -4. Sort o, y, -8 in descending order. y, o, -8 Suppose 3*u = 2*g - 11 - 23, 3*g - 50 = 5*u. Suppose 4*z = g - 0. Suppose 2*l - l = 2. Sort -1, z, l in descending order. z, l, -1 Let w = 2.142 - 0.142. Sort w, 1/5, 0 in increasing order. 0, 1/5, w Let m be (-1 - -3)*-1 + 2. Suppose 0 = -3*a - 2 - 7. Put m, a, 2 in decreasing order. 2, m, a Let i(z) = 2*z**3 - 4*z**2 + z + 2. Let t be i(2). Sort 1/4, 2, t, 0.2. 0.2, 1/4, 2, t Let t = 0.081 - -3.919. Put t, 0.06, -5 in decreasing order. t, 0.06, -5 Let t(p) = 7*p + 2. Let s be t(-1). Let f(l) = l**3 + 5*l**2 + l - 4. Let w be f(-4). Let y = s + w. Put -1, y, 1 in descending order. y, 1, -1 Let p = 33 + -365/11. Let j = 21.1 + -32. Let g = j - -11. Sort p, g, 0 in descending order. g, 0, p Let g = 15 + -12. Let z(j) = j - 4. Let q be z(g). Sort 6, q, -4 in ascending order. -4, q, 6 Let b = 6 + -8. Let d = 0.44 + 0.06. Sort d, -1/2, b. b, -1/2, d Let j(l) = l - 5. Let s be j(4). Suppose -2*w - 2*k = -10, -3*k - 3 = -6*k. Sort 5, s, w in decreasing order. 5, w, s Suppose 5*s + 1 = 6. Let t = 2.7 + -3. Put -2, s, t in descending order. s, t, -2 Let c be (((-3)/2)/3)/(-1). Let y = 25.8 - 26. Put c, y, 1/4 in descending order. c, 1/4, y Let g(u) = -u**2 + 8*u - 5. Let c be g(7). Suppose 0 = 2*j + i - 4, -j - 3 = c*i + i. Sort 4, 5, j. j, 4, 5 Let p = -6 - -10. Suppose -5*w + 1 = -2*z, 2*z = -p*w + 2*w - 22. Let o be ((-3)/(-2))/((-6)/z). Put -5, o, -4 in increasing order. -5, -4, o Let x = -61 - -70. Sort 1/4, 2/21, x in decreasing order. x, 1/4, 2/21 Let g(l) = l**3 - 10*l**2 - 12*l + 10. Let w be g(11). Let j = -1 + w. Put j, -1, 3 in ascending order. j, -1, 3 Let y = -5 + 1. Let s = -9 - y. Let k = -3 - -2. Sort 4, s, k in descending order. 4, k, s Suppose -4*u + 26 = 2*f - 0*f, -5*u = 5*f - 40. Suppose u*t - 15 = -0*t, v - 5*t = -17. Let a(i) = -6*i**2 + 1. Let h be a(1). Put h, v, 0 in descending order. 0, v, h Let p = -10 + 14. Suppose 1 - 5 = -p*h. Suppose -2*q - 7 = -h. Sort -4, q, -5 in ascending order. -5, -4, q Let s be (6/4)/(2/4). Suppose -3*m = 2*q - 6*q + 5, m = 2*q - 5. Suppose -8 = -2*k - 2*k. Put m,
{ "pile_set_name": "DM Mathematics" }
w(o) = 2*o**2 + 79*o - 912. Calculate w(-49). 19 Let n(r) = -r**3 + 3*r**2 - 5*r + 45. Calculate n(5). -30 Let n(p) = 150*p - 21161. Give n(141). -11 Let r(g) = g**2 + 343*g + 1697. Calculate r(-5). 7 Let t(g) = 258*g + 17579. Calculate t(-68). 35 Let t(x) = 2*x**2 + 32*x + 105. Determine t(-6). -15 Let a(x) = -3*x**3 - 42*x**2 + 356*x - 36. Calculate a(-20). 44 Let b(a) = -10*a**2 - 765*a + 372. Give b(-77). -13 Let w(l) = l**2 - 57*l + 30. Give w(46). -476 Let k(u) = -20*u - 56. Calculate k(-3). 4 Let o(j) = -3*j**3 - 9*j**2 + 9*j - 36. Determine o(-6). 234 Let r(o) = 3*o - 198. What is r(17)? -147 Let g(n) = 97*n + 4032. What is g(-40)? 152 Let k(j) = -j**2 - 40*j + 302. Determine k(8). -82 Let y(s) = 6*s**2 - 130*s + 44. Calculate y(21). -40 Let d(b) = -b**2 + 17*b - 72. Determine d(11). -6 Let r(f) = -f**2 - 66*f - 642. What is r(-12)? 6 Let a(k) = -26*k**2 + 383*k - 10. Give a(15). -115 Let m(t) = -t**3 + 10*t**2 + 75*t - 16. Determine m(15). -16 Let f(s) = -16*s**2 - 160*s + 5. Determine f(-9). 149 Let j(c) = 13*c**3 - 69*c**2 + 87*c - 18. What is j(1)? 13 Let n(g) = -58*g**2 + 524*g - 26. Give n(9). -8 Let x(i) = 2*i**2 - 229*i + 772. Determine x(111). -5 Let c(f) = -2*f**3 + 27*f**2 - 31*f - 58. Calculate c(12). 2 Let z(x) = -1703*x + 1685. What is z(1)? -18 Let x(o) = -98*o - 335. Calculate x(-4). 57 Let h(j) = 2*j**3 + 190*j**2 + 301*j - 6603. What is h(-93)? 0 Let z(d) = -2*d**2 - 18*d + 106. What is z(-13)? 2 Let o(c) = -2*c**3 + 12*c**2 - 14*c - 1. Give o(2). 3 Let z(n) = -19*n - 255. What is z(-17)? 68 Let o(w) = 9*w**2 - 54*w + 5. Determine o(7). 68 Let f(u) = 128*u + 1933. What is f(-15)? 13 Let m(c) = -123*c**2 + 5*c + 4. What is m(2)? -478 Let a(l) = -l**2 - 1497*l + 13539. Determine a(9). -15 Let t(o) = 23*o - 68. What is t(6)? 70 Let b(v) = -v**3 - 11*v**2 + 16*v + 95. What is b(-11)? -81 Let c(t) = 197*t + 8268. What is c(-42)? -6 Let a(i) = 9*i**2 - 313*i - 127. Calculate a(35). -57 Let u(i) = i**3 + 18*i**2 + 30*i - 4. What is u(-16)? 28 Let v(q) = -2*q**3 + 6*q**2 + 2*q + 7. Calculate v(4). -17 Let q(t) = 1100*t - 22014. What is q(20)? -14 Let f(g) = -10*g + 60. Give f(18). -120 Let l(j) = 11*j**2 - 516*j - 56. Determine l(47). -9 Let i(n) = n**3 - 3*n**2 - 9*n + 2. What is i(5)? 7 Let a(i) = 1315*i + 6. Calculate a(0). 6 Let w(g) = -1483*g + 14823. What is w(10)? -7 Let m(n) = n + 109. What is m(22)? 131 Let g(q) = 25*q - 1444. What is g(58)? 6 Let l(h) = h**3 + 10*h**2 - 23*h - 86. Determine l(-12). -98 Let i(j) = j**3 - 4*j**2 - 176*j - 13. Give i(-11). 108 Let s(d) = -d**3 - 16*d**2 - 76*d - 54. Determine s(-8). 42 Let v(j) = 25*j**2 - 97*j - 7. What is v(4)? 5 Let c(p) = -3*p**2 + 170*p - 584. Give c(53). -1 Let y(g) = -3*g**2 - 733*g + 3743. What is y(5)? 3 Let x(i) = 43*i + 147. Determine x(-4). -25 Let i(u) = -161*u + 2426. What is i(15)? 11 Let k(h) = h**2 + 29*h - 20. Give k(9). 322 Let g(p) = 4*p**3 + 8*p**2 + 10*p + 25. Calculate g(-3). -41 Let i(u) = -3*u - 136. Calculate i(6). -154 Let i(o) = 132*o - 6152. Determine i(45). -212 Let k(j) = -65*j + 538. Calculate k(8). 18 Let y(l) = -59*l + 5108. Calculate y(86). 34 Let r(m) = m**3 + 4*m**2 - m - 21. What is r(-4)? -17 Let s(l) = -11*l**3 - 184*l**2 + 49*l - 10. What is s(-17)? 24 Let s(t) = 2*t**3 + 22*t**2 + 5*t + 17. Determine s(-11). -38 Let y(u) = 34*u**2 - 985*u + 24. Determine y(29). 53 Let l(n) = 54*n - 212. What is l(4)? 4 Let p(y) = -207*y + 204. Calculate p(1). -3 Let r(m) = -71*m - 2411. Calculate r(-34). 3 Let p(j) = -j**3 - 7*j**2 - 5*j - 14. Calculate p(-7). 21 Let p(q) = q**2 - 39*q + 140. What is p(34)? -30 Let j(d) = -d**3 - 42*d**2 + 42*d - 43. Determine j(-43). 0 Let v(j) = -2*j - 566. Calculate v(-57). -452 Let l(n) = -n**3 - 10*n**2 + 335*n - 20. Calculate l(-24). 4 Let b(x) = -250*x - 317. Give b(-2). 183 Let q(j) = j**3 + 26*j**2 - 2*j - 680. Calculate q(-25). -5 Let i(d) = d**2 + 60*d + 568. What is i(-48)? -8 Let l(x) = 182*x - 31109. Calculate l(171). 13 Let y(l) = 3*l**2 + 12*l - 40. Give y(3). 23 Let p(f) = -3*f**3 + 3*f**2 + 50*f + 48. What is p(-1)? 4 Let h(i) = -i**2 - 28*i + 12578. What is h(-127)? 5 Let g(j) = -j**3 - 74*j**2 - 910*j - 1473. What is g(-59)? 2 Let v(t) = 268*t + 263. Give v(-1). -5 Let c(d) = -16*d + 139. Calculate c(5). 59 Let h(v) = -4*v**3 + 39*v**2 - 49*v - 49. Calculate h(8). 7 Let p(n) = -128*n + 75. Determine p(-1). 203 Let t(p) = p**3 - p**2 - 135*p - 31. Calculate t(-11). 2 Let b(k) = -19*k + 966. Determine b(50). 16 Let t(s) = -2*s**2 - 30*s - 71. Calculate t(-11). 17 Let c(o) = -57*o - 28. Determine c(0). -28 Let b(t) = 5*t**3 - 2*t**2 - 40*t + 33. Give b(-6). -879 Let y(p) = -p**2 + 1302*p + 38602. Calculate y(-29). 3 Let u(h) = -46*h - 635. Determine u(-14). 9 Let o(h) = -h**2 + 214*h + 1317. Calculate o(-6). -3 Let z(u) = -7*u**2 - 64*u - 192. Calculate z(-5). -47 Let i(w) = -2*w**2 + 42*w - 180. Determine i(17). -44 Let q(x) = x**3 - 24*x**2 + 30*x - 93. What is q(23)? 68 Let q(u) = 20*u + 250. Calculate q(-11). 30 Let y(w) = -w**2 - 25*w - 76. Give y(-12). 80 Let f(m) = 11*m - 7. Determine f(-38). -425 Let x(t) = 9*t**3 + 3*t**2 + 28*t - 72. Calculate x(2). 68 Let l(v) = -v**2 - 38*v + 529. Determine l(13). -134 Let q(a) = -41*a - 83. Determine q(5). -288 Let y(h) = 3*h**2 + 9*h - 193. What is y(-14)? 269 Let d(s) = s**2 - 136*s + 4065. Determine d(91). -30 Let d(g) = 21574*g - 172584. Calculate d(8). 8 Let l(t) = 225*t**2 - 2017*t - 71. Determine l(9). 1 Let q(a) = a**2 + 666*a - 34263. What is q(48)? 9 Let k(d) = 117*d**2 - 625*d - 464. Determine k(6). -2 Let x(k) = -k**2 - 132*k - 754. What is x(-6)? 2 Let p(n) = 7*n + 92. Calculate p(-11). 15 Let j(r) = r**3 + 55*r**2 + 337*r - 4. What is j(-48)? -52 Let l(c) = -17*c + 305. Calculate l(20). -35 Let s(m) = 20*m**2 - 50*m + 180. Determine s(7). 810 Let i(m) = -m**3 - 52*m**2 - 105*m - 247. Determine i(-50). 3 Let v(l) = -14*l**3 - 2*l**2 - 1. Determine v(1). -17 Let z(j) = -29*j + 315. What is z(11)? -4 Let l(c) = c**3 - 35*c**2 + 31*c + 163. Determine l(34). 61 Let r(w) = -w**3 - 32*w**2 + 287*w - 58. Calculate r(7). 40 Let o(p) = 120*p - 2428. Give o(20). -28 Let m(h) = -7*h**2 - 97*h - 68. Calculate m(-15). -188 Let r(x) = -2*x**3 + 5*x**2 - 3*x + 7. Give r(2). 5 Let w(n) = -9640*n + 144607. Calculate w(15). 7 Let c(n) = -3*n**3 + 20*n**2 + 116*n + 15. Calculate c(-4). 63 Let w(m) = -3*m**2 + 48*m + 102. Calculate w(25). -573 Let q(g) = 222*g + 2664. What is q(-12)? 0 Let p(b) = 23*b**2 - 15*b - 10. What is p(1)? -2 Let s(j) = -205*j - 815. Calculate s(-4). 5 Let w(s) = 7*s**3 + 153*s**2 - 23*s - 23. Determine w(-22). -1 Let a(i) = -45*i - 1124. Determine a(-25). 1 Let k(p) = 24*p + 28. Give k(-1). 4 Let r(y) = 2*y**2 + 468*y + 8169. Give r(-19). -1 Let a(y) = 6*y**3 - 39*y**2 - y + 3. Calculate a(3). -189 Let a(x) = -33*x - 18. Calculate a(-1). 15 Let y(w) = 127*w - 145. Determine y(2). 109 Let m(x) = 26*x - 355. Determine m(15). 35 Let y(z) = -4*z**2 + 13*z - 31. What is y(3)? -28 Let f(p) = -25*p - 49. What is f(-3)? 26 Let n(b) = -2*b**3 - 42*b**2 - b. Determine n(-21). 21 Let q(s) = 9*s - 10. Give q(-6). -64 Let x(d) = -d**3 - 56*d**2 - 85*d - 1639. Determine x(-55). 11 Let o(f) = f**2 + 372*f + 32562. Determine o(-231). -9 Let o(p) = 96*p + 3532. Determine o(-34). 268 Let v(m) = 3*m**3 - 121*m**2 - 251*m + 6934. What is v(41)? 5 Let i(g) = 4*g**3 + 77*g**2 + 19*g + 4. What is i(-19)? 4 Let q(k) = -k**3 - 11*k**2 - 33*k - 38. Give q(-7). -3 Let h(b) = 80*b + 195. What is h(-9)? -525 Let w(f) = -4*f**2 - 143*f - 2. Calculate w(0). -2 Let u(a) = -a**3 + 2*a**2 + 10*a + 20. Calculate u(-6). 248 Let w(c) = c**3 + 13*c**2 + 4*c + 7. What is w(-13)? -45 Let x(t) = -t**2 + 32*t + 2169. Give x(-33). 24 Let g(u) = -u**3 - 10*u**2 - 194*u - 2263. Determine g(-11). -8 Let k(w) = -14*w - 175. What is k(-18)? 77 Let u(t) = 254*t + 3296. Calculate u(-13). -6 Let y(g) = 2*g**3 - 15*g**2 + 53*g - 289. Calculate y(6). -79 Let t(i) = -i**2 + 15*i + 20. Determine t(10). 70 Let i(y) = -419*y + 16768. Determine i(40). 8 Let h(d) = 2*d**2 + 98*d - 121. What is h(-49)? -121 Let a(t) = -t**2 + 144*t + 8915. Give a(-47). -62 Let d(b) = b**2 + 33*b - 380. Calculate d(11). 104 Let m(g) = 18*g - 12. Determine m(-4). -84 Let j(y) = -3*y - 30. Determine j(0
{ "pile_set_name": "DM Mathematics" }
, 5399 What are the prime factors of 174065963? 174065963 List the prime factors of 362730888. 2, 3, 13, 61, 6353 List the prime factors of 1360666552. 2, 7, 67, 139, 2609 List the prime factors of 4255853211. 3, 29, 139, 39103 What are the prime factors of 24746019? 3, 29, 461, 617 List the prime factors of 1946961090. 2, 3, 5, 37, 194891 What are the prime factors of 500495764? 2, 313, 399757 What are the prime factors of 10295323? 59, 211, 827 What are the prime factors of 558283278? 2, 3, 7, 23, 31, 103, 181 What are the prime factors of 1354105267? 17, 61, 79, 16529 What are the prime factors of 17501553? 3, 113, 17209 What are the prime factors of 3702809306? 2, 7, 173, 1528823 List the prime factors of 44056810. 2, 5, 7, 629383 List the prime factors of 238437587. 238437587 What are the prime factors of 34472278? 2, 139, 124001 List the prime factors of 2339091938. 2, 19, 61555051 What are the prime factors of 1070159387? 11, 23, 97, 43607 List the prime factors of 60352684. 2, 7, 157, 13729 What are the prime factors of 46756104? 2, 3, 1948171 What are the prime factors of 602293967? 11, 421, 130057 What are the prime factors of 7708112? 2, 89, 5413 List the prime factors of 184644055. 5, 17, 2172283 List the prime factors of 64778654. 2, 31, 347, 3011 What are the prime factors of 145329553? 145329553 List the prime factors of 71373678. 2, 3, 11895613 What are the prime factors of 47996307? 3, 592547 List the prime factors of 118580625. 3, 5, 7027 What are the prime factors of 87802751? 97, 773, 1171 What are the prime factors of 3761841? 3, 1253947 List the prime factors of 2008075731. 3, 669358577 List the prime factors of 516084024. 2, 3, 599, 35899 List the prime factors of 10159061. 11, 923551 What are the prime factors of 120179232? 2, 3, 23, 18143 List the prime factors of 66113578. 2, 17, 19, 53, 1931 What are the prime factors of 401443428? 2, 3, 31, 137, 7877 List the prime factors of 457696490. 2, 5, 383, 119503 List the prime factors of 606340131. 3, 202113377 List the prime factors of 23015161. 13, 17, 223, 467 List the prime factors of 27727673. 23, 317, 3803 What are the prime factors of 2163441929? 11, 43, 4573873 What are the prime factors of 228103567? 228103567 List the prime factors of 35873569. 107, 179, 1873 List the prime factors of 1839460203. 3, 7, 41, 379, 1879 List the prime factors of 3925663277. 3925663277 List the prime factors of 108903406. 2, 2083, 26141 What are the prime factors of 182222818? 2, 91111409 List the prime factors of 1586166264. 2, 3, 277, 79531 List the prime factors of 544070001. 3, 181356667 What are the prime factors of 1173097315? 5, 13, 18047651 List the prime factors of 81218892. 2, 3, 239, 28319 List the prime factors of 290296501. 11, 23, 1147417 List the prime factors of 66755558. 2, 33377779 What are the prime factors of 265992588? 2, 3, 7388683 List the prime factors of 202792414. 2, 11, 9217837 What are the prime factors of 182398604? 2, 37, 43, 28661 What are the prime factors of 28681807? 7, 11, 127, 419 What are the prime factors of 18291162? 2, 3, 71, 42937 What are the prime factors of 346847450? 2, 5, 691, 10039 List the prime factors of 39696642. 2, 3, 317, 773 List the prime factors of 299379088. 2, 18711193 What are the prime factors of 2918728562? 2, 2557, 570733 What are the prime factors of 1245923218? 2, 5393, 115513 What are the prime factors of 1118934584? 2, 31, 145543 What are the prime factors of 752484807? 3, 83609423 List the prime factors of 584532088. 2, 7, 97, 107609 List the prime factors of 37777150. 2, 5, 431, 1753 What are the prime factors of 229882458? 2, 3, 13, 2947211 List the prime factors of 4111185042. 2, 3, 15053, 15173 List the prime factors of 7475700. 2, 3, 5, 24919 What are the prime factors of 53257675? 5, 2130307 What are the prime factors of 187396444? 2, 46849111 List the prime factors of 27843235. 5, 7, 379, 2099 List the prime factors of 755012332. 2, 29, 6508727 List the prime factors of 4335514883. 7, 1283, 482743 List the prime factors of 2038980397. 2927, 696611 What are the prime factors of 54071484? 2, 3, 199, 22643 List the prime factors of 181560600. 2, 3, 5, 13, 7759 What are the prime factors of 32582150? 2, 5, 19, 34297 List the prime factors of 1219216664. 2, 53, 113, 25447 List the prime factors of 263576712. 2, 3, 7, 1568909 What are the prime factors of 1088223751? 1088223751 List the prime factors of 1989717139. 197, 509, 19843 What are the prime factors of 1852452479? 1852452479 What are the prime factors of 387665638? 2, 53, 3657223 List the prime factors of 1449847577. 1449847577 What are the prime factors of 82222197? 3, 27407399 What are the prime factors of 417956535? 3, 5, 439, 21157 List the prime factors of 45312157. 11, 17, 293, 827 List the prime factors of 60886875. 3, 5, 7, 4639 What are the prime factors of 340508193? 3, 6907, 16433 What are the prime factors of 52220119? 7, 7460017 What are the prime factors of 1580078879? 16493, 95803 List the prime factors of 47891138. 2, 23945569 What are the prime factors of 3642265028? 2, 17, 97, 552193 List the prime factors of 2463328445. 5, 492665689 What are the prime factors of 306827606? 2, 37, 1217, 3407 What are the prime factors of 6463131701? 13, 497163977 List the prime factors of 117843903. 3, 1454863 List the prime factors of 2841961441. 11, 379, 681689 List the prime factors of 3882359379. 3, 631, 2050903 What are the prime factors of 108917246? 2, 773, 70451 What are the prime factors of 50424228? 2, 3, 31, 15061 What are the prime factors of 228329390? 2, 5, 22832939 What are the prime factors of 818073625? 5, 6544589 What are the prime factors of 424246328? 2, 11, 438271 List the prime factors of 252372679. 13, 131, 148193 What are the prime factors of 1839791536? 2, 11, 293, 35677 What are the prime factors of 6851009? 11, 157, 3967 List the prime factors of 99957276. 2, 3, 37, 101, 743 List the prime factors of 2067343452. 2, 3, 19142069 What are the prime factors of 1123566016? 2, 101, 173819 What are the prime factors of 264692185? 5, 431, 122827 What are the prime factors of 2822964419? 11, 617, 415937 List the prime factors of 685550987. 11, 62322817 What are the prime factors of 1441235576? 2, 11, 19, 191, 4513 List the prime factors of 94523831. 61, 73, 21227 List the prime factors of 1593115749. 3, 67, 880661 What are the prime factors of 77556833? 3529, 21977 List the prime factors of 11534430. 2, 3, 5, 384481 What are the prime factors of 357003972? 2, 3, 13, 37, 53, 389 List the prime factors of 220772713. 7, 3023, 10433 What are the prime factors of 19542245? 5, 31, 126079 List the prime factors of 4779358927. 7, 229, 2981509 What are the prime factors of 4300876623? 3, 1423, 1007467 List the prime factors of 24210428. 2, 11, 257, 2141 List the prime factors of 95841961. 95841961 What are the prime factors of 36900292? 2, 11, 13, 31, 2081 What are the prime factors of 6010509069? 3, 17, 13094791 List the prime factors of 477564179. 477564179 List the prime factors of 34200756. 2, 3, 397, 2393 List the prime factors of 19578923. 7, 13, 215153 What are the prime factors of 38264634? 2, 3, 2125813 List the prime factors of 1334344130. 2, 5, 7, 19062059 What are the prime factors of 253007067? 3, 84335689 List the prime factors of 9777050. 2, 5, 195541 What are the prime factors of 43661826? 2, 3, 13, 31, 463 List the prime factors of 35236634. 2, 17618317 What are the prime factors of 160703851? 7, 11, 189733 What are the prime factors of 9638037? 3, 71, 15083 List the prime factors of 5681835215. 5, 7, 8929, 18181 List the prime factors of 12773927. 12773927 List the prime factors of 3356854. 2, 17, 98731 List the prime factors of 280111242. 2, 3, 1823, 25609 What are the prime factors of 983722169? 19, 51774851 List the prime factors of 1229432226. 2, 3, 11, 37, 503453 List the prime factors of 29336509. 17, 31, 55667 What are the prime factors of 14499792? 2, 3, 100693 What are the prime factors of 66939211? 66939211 List the prime factors of 923999724. 2, 3, 950617 List the prime factors of 26078086. 2, 431, 30253 List the prime factors of 6605490265. 5, 11, 283, 347, 1223 What are the prime factors of 417113436? 2, 3, 101, 344
{ "pile_set_name": "DM Mathematics" }
). Solve y*v + 15 = b, 5*v + 3*b + 19 = 4*v for v. -4 Suppose 0*z - 24 = -3*z. Let q = -7 + z. Solve 2*p - d = 6 + q, -34 = -5*p - 3*d for p. 5 Let p be (14/3)/(26/6 + -4). Solve -h + 4*z + 18 = h, 3*z - p = -4*h for h. 5 Suppose -10 = 6*n - 11*n. Suppose -g + 12 = -5*s, 3*g - 3*s - 16 = -n*g. Solve 9 = 4*c + d, g*c + 0*d + 9 = -5*d for c. 3 Let j be (6/9)/(2/(-27)*-3). Solve -j*b - 11 = -f, 3*f + 0*f = 3*b + 15 for f. 2 Let k be 0*((-2)/6 + 0). Suppose -2*y + 6 = k, 2*o - 9 = -3*y - 0*y. Solve 0 = -3*q, -2 + o = j + 2*q for j. -2 Suppose 0 = -4*g + o + 17, -3*g + 3*o - 11 + 35 = 0. Solve 3*z + 12 = -2*p - p, -g*z = -2*p + 12 for p. 0 Suppose -3*y = y - 200. Solve -15 = 3*m, 0 = 3*u + 5*m + y - 10 for u. -5 Let r(u) = -u + 4. Let i be 1/1 + (0 - -3). Let k be r(i). Solve -29 = 4*j - k*x + 3*x, -j = -x + 2 for j. -5 Let i = -7 - -15. Suppose -r - 1 = -2*k + 3*k, 4*r - 4*k - 28 = 0. Suppose 11 = 2*m + 3*x, 2*m - 5*x - r = -0. Solve q = -m*l - 4, 0*q + i = -4*l - 2*q for l. 0 Suppose d - 2*d + 3 = 0. Let a be 3*(-2)/(-9)*6. Solve 2*x + d*z = -3*x - 20, -20 = a*z for x. -1 Let d(n) = -21*n + 8*n + 0*n**2 + 11*n + n**2. Let k be d(3). Solve -o + k*l - 9 = 0, -5*l = 5*o - l - 12 for o. 0 Let l(g) = g + 10. Let t be l(-8). Solve 0 = 2*x + x, 2*j + 5*x + t = 0 for j. -1 Let h(t) be the third derivative of t**5/60 + 3*t**4/8 + 4*t**3/3 - 3*t**2. Let z = 6 + -14. Let k be h(z). Solve -10 = 4*f + 2*w - k*w, 0 = -f - 2*w - 7 for f. -1 Let x = -3 - -3. Suppose -2*y + 8 = -x. Let d be 3/6*y - 2. Solve u + 6 = n + 3*u, -4*n - u + 10 = d for n. 2 Suppose 5 = -2*s - 3*v, -3*s = -5*s - 2*v - 2. Suppose m = 5*m. Solve b + 4*o + 11 = 0, m = -5*b + s*o + 13 - 2 for b. 1 Let w(z) = -2*z**3 - 19*z**2 + 12*z + 24. Let b be w(-10). Solve 3*k + 24 = 2*d + d, -b*k = -5*d + 35 for d. 3 Let i(g) = 3*g - 5. Let s be i(4). Let f = s + -11. Let a = 4 + f. Solve -2*q + w + 1 = a, 2*q + 0*w = 5*w - 3 for q. 1 Suppose a - 15 = -4*a. Suppose 3*u - 10 = 4*f, -a*f - 1 + 0 = u. Solve 5*i = 4*n, u*i + 0*i = -3*n for n. 0 Let r be (1 - 0)/((-2)/(-6)). Suppose 2 - 14 = -r*i. Solve -7 = 4*y - v, 5*y = -2*v - v + i for y. -1 Let q(r) = 0*r - 9*r**2 - 9 + r - r**3 - 2*r. Let z be q(-9). Solve 5*s + 4*a - 29 = z, 5*s + 3 = -5*a + 33 for s. 5 Let u be (-392)/40 - (-1)/(-5). Let t be 5 - (0 + 2) - u. Solve w - t = z - 3*z, -w - 3 = -2*z for z. 4 Let s be 0 + -1 - 0 - -2. Let p be ((-2)/(-1) + -2)/s. Suppose 5*q = -p + 20. Solve -f + 0 = -4, -f + q = -5*j for j. 0 Suppose 5*x + 4*d = 548, -5*d = -5*x - 55 + 585. Suppose 0 = r + 4, 0*r - x = -4*v - 3*r. Solve -2*f - v = 3*f - z, 0 = f - 2*z + 15 for f. -5 Let h = -15 + 18. Let u(k) = k. Let g be u(h). Solve c = 5, -4*x + 3*x + 18 = g*c for x. 3 Let v(y) = 2*y**2 + 7*y + 14. Let s be v(-2). Solve 3*k = -3*j - 3, -5*j - s = 4*k - 0*j for k. 3 Let x = 3 - 0. Suppose -d + x = 5*g + 27, 3 = -2*d - g. Let s = d - -1. Solve 0*z = -4*j - z + 11, -3*z + 13 = s*j for j. 2 Let q be (-14 + -1)*7/(-21). Solve 0 = q*w - 5, 0 = 4*y - 3*y + w for y. -1 Let v be (-1 - (-4 + 2))*17. Solve v = 3*j - 5*h, -j + 0*h = -2*h - 7 for j. -1 Suppose 5*n - 2*b - 29 = 0, -5*n + 0*b - b + 23 = 0. Let x(f) = -f + 7. Let m be x(n). Solve 4 = p + 3*p, -j = m*p - 6 for j. 4 Let s be 8/20 + 72/20. Solve s*v + 4*t = v, -2*v - 5 = t for v. -4 Let g(l) be the first derivative of -l**2/2 - 4*l - 5. Let c be g(-7). Solve -c*b + 4*f = -10, -4*b = 2*f - 4*f for b. -2 Let p(s) = -s**3 + 7*s**2. Let y be p(7). Solve 3*v + a = -2*v - 9, -4*v - a - 7 = y for v. -2 Let f = 6 + -16. Let r be (2 - 1)*(f + 10). Let x(w) = 2*w**2 + w + 1. Let h be x(-1). Solve r*l - 2*t + 11 = -3*l, -h*l = 3*t - 10 for l. -1 Let z(g) = -g**2 - 9*g - 5. Let q be z(-8). Solve -q*p + 0*f + f + 11 = 0, 4*f - 24 = -5*p for p. 4 Let m = 13 - 10. Solve 0 = 4*o + i + 7, -i - m*i = -5*o - 35 for o. -3 Let o be (-11)/3 - (-4)/6. Let y = o - -5. Solve 0 = y*i + 3*c - 4 + 5, -c = 4*i - 3 for i. 1 Suppose -4*s = 3*d - 6, 4*s - d + 2 = 7*s. Solve 5*h - 2*y - 21 = -s*y, 3*h - 5*y = 5 for h. 5 Let y(o) = o**2 - 3*o - 2. Let t be y(-2). Let m be t - (0 - (-3 + 0)). Solve -m*l + 4*r = -28, -l = -r - 0*r - 6 for l. 4 Suppose -14*z + 9 = -47. Let g be 4 - 1*(0 - -1). Solve -4*w = -z*n, -3*n = -5*w + 7 - g for n. 2 Let n(w) = w**3 + w**2 - 2*w + 3. Let k be n(2). Let c = 4 + -2. Solve 0 = -j - c*j - 6, -g + k = -3*j for g. 5 Suppose 3*y - 5 - 10 = 0. Let f = -6 - -26. Let c be f/9 + (-10)/45. Solve -4*s = -y*n - 29, 5*s = 4*n + c*s + 23 for n. -5 Suppose -n + 5*o + 23 = 0, o - 5*o = -2*n + 22. Solve 2*a + 14 = -n*b, 3*a - 6*b = -3*b - 6 for a. -4 Let u = 16 + -12. Let q(i) = i**3 - 2*i**2 - 5*i - 2. Let l be q(u). Solve 0 = 2*y - 3*m - l, 0 = -0*y + 4*y + 3*m + 16 for y. -1 Suppose 9 = -3*b + 6*b. Suppose 10 + 8 = b*l - 3*k, 0 = l + 2*k - 3. Suppose 2*g - 2*m = 2, g + m + 2*m = 13. Solve 2*f = -f - p + g, 8 = -f - l*p for f. 2 Suppose -2*a = 13 - 3. Let x be ((-4)/a)/(6/15). Suppose 2*h - 2 = -u, -6 = 5*u + x*h - 16. Solve -5*z - 4*o - 24 = 0, o = 1 - u for z. -4 Let u be 90/(-25) - 4/10. Let g = 5 + u. Solve -5*h + q = -q + 16, -2*h - q = g for h. -2 Let v(t) = t**3 + 8*t**2 + 9*t + 2. Suppose 0 = -3*f - 5*s - 33, 0 = -f - 3*s - 14 - 1. Let m be v(f). Solve -5*q = -3*n + 2*n - m, -5 = 4*q - 5*n for q. 5 Let x be 2/3*12/2. Let l = 32 - 28. Solve l*i + 4*s + 28 = 0, -4*i - 7 = -i - x*s for i. -5 Let c be 12/(-9) + 1/3. Let m = 2 - c. Solve -x = -m*d - 6, -3*d + d - 4 = 2*x for x. 0 Suppose 4*g + 0*g + 5*h = 62, -3*h = 3*g - 48. Solve -2*m - 5*j + 2*j = g, 2*m - 5*j = 14 for m. -3 Suppose 0 = 3*h + 5*h - 32. Solve 0 = -2*r + 4, h*q = 2*r + 3*r - 26 for q. -4 Suppose -5*w + 2*w = -x + 3, 0 = 4*w + 3*x - 9. Let h be 30/(-25)*25/(-2). Solve 3*m - 2*g + 15 = 0, -m - h = -w*m - 4*g for m. -3 Suppose -5*x = -2 - 8. Solve -x*p = -7*p - 3*d, 0 = p - 2*d + 13 for p. -3 Suppose -4*i - 14 = -2*y, -5*i - 11 = 5*y + 14. Let d be (-14)/(-1)*y/(-2). Let z = d + -7. Solve -8 = 4*u - 5*t, 0 = u - z*t + 5*t - 23 for u. 3 Let h(s) = -s + 15. Let o be h(9). Solve -2*m - 4 = 0, -4*v + 26 = -o*m + m for v. 4 Let p(y) = 7*y + 2. Let u be p(1). Suppose -2*j = 3*j + 15. Let n = j + u. Solve -4*i - 2 = -2*v, 3*v + 0 = 3*i - n for i. -3 Suppose 3*d + 4 = 4*h, -2*d + 6*h - 2*h = 4. Suppose 3*j = 5*n, -4*j - 4*n = -d*j. Solve -5*k - 24 = f, j = -0*f - f - 4 for k. -4 Suppose 0 = -2*m + 5*c - 3*c + 4, 0 = -2*c + 6. Solve -2*s - 4 = 0, -4*s = 3*o - 0*o + m for o. 1 Let a be 3*(-2)/18*-24. Solve -5*d + a = -2*i, 4*i + 5 = -3*d - 11 for i. -4 Let d be (-13)/(-3) - (-2)/(-6). Solve 5*y - y = a + 5, d*y + 25 = -5*a for y. 0 Let n = -3 + 6. Let t = 161 + -153. Solve -5*y + n = 4*f + 19, 5*y + 2*f + t = 0 for y. 0 Suppose -q + 51 - 46 = 0. Solve -5 = m + q*h, 2*m + 0*h + 5*h + 10 = 0 for m. -5 Let l be (-2)/(-1) - 2/1. Solve 4*z - 2*o + 16 = l, -5*z - 2*o - 31 = o for z. -5 Let k be ((-5)/(-3))/((-5)/(-15)). Solve 5*o + 20 = 0, -k*o - 8 = -5*n + 2 for n. -2 Let k be (-432)/(-198) + (-4)/22. Solve 2*n = 5*o - k, -4*o + 5*n = -8*o + 28 for o. 2 Let n(o) = -o + 7. Let s be n(-18). Solve 5*a + 0*a + h + 23 = 0, 3*a + s = 5*h for a. -5 Suppose 11*c = 6*c + 15. Solve 0 = -2*l + 3*s + c, -2*l + 2 = -0*l - 4*s for l. 3 Let p be 2 - 2 - 1 - -11. Solve -p = -5*q + 5*z, 6*z - 6 = -3*q + 4*z for q. 2 Suppose -13 + 11 = -2*o. Let r be 2/8 - 1/4. Let p be 3 + (0 + r)/o. Solve -3 = 2*c - 2*l + 5, -12 = p*c + 4*l for c. -4 Let t = -3 + 1. Let r be (-7 - (-2 - 1))/t. Solve 20 = 5*n - m, -r*n + m + 4*m - 15 = 0 for n. 5 Let n = -13 - -16. Let v be 4/14 - 24/(-14). Suppose -2*u + 44 = v*u. Solve -x = -s - 2*s + u, 13 = 5*s - n*x for s. 5 Let f = 5 + 0. Let i = 2 + f. Suppose -y - 4 + i = 0. Solve -2*r - 7 = -y*j, 5*r + 7 = 5*j + 2 for r. 4 Suppose 3*g + z = -1, -3*g - 2*z + 2 = 7. Let t be g + (-2)/6*-3. Let c be -1*(t - 1) - -3. Solve -v + c*v = -2*k - 2, -5*v = -2*k - 14 for k. -2 Suppose 5*i - 4*o - 26 = 0, 4*i + o - 3 = 1. Let b be -3 - (-2 + i/(-2)). Solve 2*f - 5*h + 19 = b, -f + 29 - 6 = 4*h for f. 3 Suppose -20 = -3*c + 5*j, -2*c + 12 = c + 3*j. Solve -2*p + 2 = -4*p, -2*o - c*p = -5 for o. 5 Let p = 25 - -3. Suppose -5*n = z + 1, -5*z - 7*n + 19 = -6*n. Solve -z*a - 2*c = -5*c + p, -8 = -2*a - 4*c for a. -4 Let o be (-2 + 5)*(1 + 0). Let q = -16 + 34. Let l be ((-1)/o)/((-
{ "pile_set_name": "DM Mathematics" }
/8 Factor 2*a**3/3 + 236*a**2/3 - 238*a/3. 2*a*(a - 1)*(a + 119)/3 Factor l**3/3 - l**2/3 - 16*l/3 + 16/3. (l - 4)*(l - 1)*(l + 4)/3 Determine x so that -2*x**5/7 - 304*x**4/7 - 1692*x**3 - 21600*x**2/7 + 33750*x/7 = 0. -75, -3, 0, 1 Factor 92708*z**3 - 53760*z**2 + 8016*z - 64. 4*(7*z - 2)**2*(473*z - 4) Find q such that 9*q**5/5 + 102*q**4/5 + 351*q**3/5 + 366*q**2/5 - 108*q/5 - 216/5 = 0. -6, -3, -2, -1, 2/3 Determine t so that -36*t**4 - 258*t**3 + 842*t**2 + 2852*t + 848 = 0. -53/6, -2, -1/3, 4 Suppose -5*r**5 - 55*r**4 + 210*r**3 + 1030*r**2 - 205*r - 975 = 0. Calculate r. -13, -3, -1, 1, 5 Let -3*d**5/8 - 19*d**4/8 - 5*d**3 - 3*d**2 + 2*d + 2 = 0. What is d? -2, -1, 2/3 Suppose g**5 + 8*g**4 + 13*g**3 - 22*g**2 - 32*g + 32 = 0. Calculate g. -4, -2, 1 Let -h**3/6 + 23*h**2/6 - 71*h/6 - 95/6 = 0. What is h? -1, 5, 19 Suppose -4*z**5/5 + 12*z**3/5 + 8*z**2/5 = 0. What is z? -1, 0, 2 Let 2*l**3 + 440*l**2 - 3616*l + 7296 = 0. What is l? -228, 4 Solve -p**4 - 114*p**3 + 348*p**2 - 350*p + 117 = 0. -117, 1 Factor 3*x**3 + 711*x**2 + 41769*x - 42483. 3*(x - 1)*(x + 119)**2 Factor 4*z**3 + 12*z**2 - 36*z + 20. 4*(z - 1)**2*(z + 5) Solve 5*p**5 - 90*p**4 + 235*p**3 - 150*p**2 = 0 for p. 0, 1, 2, 15 Solve 2*f**5/17 + 4*f**4/17 - 4*f**3/17 - 8*f**2/17 + 2*f/17 + 4/17 = 0. -2, -1, 1 Solve 2*s**5 + 4*s**4 - 462*s**3 - 2344*s**2 + 7720*s + 9600 = 0 for s. -10, -1, 3, 16 Solve -2*x**5 + 14*x**4 - 28*x**3 + 16*x**2 = 0 for x. 0, 1, 2, 4 Determine f so that 45*f**4 + 845*f**3 + 3410*f**2 - 5300*f + 1000 = 0. -10, 2/9, 1 Determine m, given that 5*m**2/4 + 40*m + 320 = 0. -16 Factor -i**3 - 3*i**2 + i + 3. -(i - 1)*(i + 1)*(i + 3) Determine i, given that -10*i**4/9 - 4906*i**3/9 - 598276*i**2/9 + 281752*i/3 - 26896 = 0. -246, 2/5, 1 Factor -l**2/5 + 29*l/5 + 6. -(l - 30)*(l + 1)/5 Factor y**2/5 - 574*y/5 - 1731/5. (y - 577)*(y + 3)/5 Factor 2*w**3/17 - 12*w**2/17 + 16*w/17. 2*w*(w - 4)*(w - 2)/17 Factor 4*r**4 - 44*r**3 + 8*r**2 + 368*r - 480. 4*(r - 10)*(r - 2)**2*(r + 3) Determine l, given that -l**4 - 41*l**3/5 + 37*l**2/5 + 9*l/5 = 0. -9, -1/5, 0, 1 Factor -2*z**2 + 102*z - 100. -2*(z - 50)*(z - 1) Factor -147*t**3/2 - 121359*t**2/2 - 34656*t - 4950. -3*(t + 825)*(7*t + 2)**2/2 Solve -9*s**5 - 632*s**4 - 1976*s**3 - 2226*s**2 - 1007*s - 134 = 0 for s. -67, -1, -2/9 Find g, given that 4*g**2 - 136*g + 1092 = 0. 13, 21 Factor -3*i**4/5 - 153*i**3 - 2268*i**2/5. -3*i**2*(i + 3)*(i + 252)/5 Factor 5*a**3 - 75*a**2 + 190*a - 120. 5*(a - 12)*(a - 2)*(a - 1) Factor -4*d**2/7 - 10048*d - 44171008. -4*(d + 8792)**2/7 What is i in 3*i**5 - 60*i**4 - 432*i**3 - 912*i**2 - 624*i = 0? -2, 0, 26 Suppose -4*k**5/5 - 72*k**4/5 - 272*k**3/5 - 136*k**2/5 + 276*k/5 + 208/5 = 0. Calculate k. -13, -4, -1, 1 Suppose 3*s**4 - 1767*s**3 + 5283*s**2 - 5277*s + 1758 = 0. Calculate s. 1, 586 Let 245*l**5 + 2345*l**4 - 3865*l**3 - 65*l**2 + 1120*l + 220 = 0. Calculate l. -11, -2/7, 1 Suppose -3*n**2 + 48*n = 0. Calculate n. 0, 16 Solve -3*c**2/4 - 549*c/4 - 543/2 = 0 for c. -181, -2 Let 5*l**3/3 - 95*l**2/3 = 0. What is l? 0, 19 Determine q so that 4*q**2 + 13408*q + 11235904 = 0. -1676 Factor 14*b**4 - 534*b**3 + 5130*b**2 - 722*b. 2*b*(b - 19)**2*(7*b - 1) Let -k**4/4 + 9*k**3/4 - 6*k**2 + 4*k = 0. Calculate k. 0, 1, 4 Solve q**4 + 24*q**3 + 214*q**2 + 840*q + 1225 = 0 for q. -7, -5 Factor -2*r**2 + 18*r. -2*r*(r - 9) Suppose 6*m**2 + 4*m/3 = 0. What is m? -2/9, 0 Factor -2*a**4 - 52*a**3 - 142*a**2 - 92*a. -2*a*(a + 1)*(a + 2)*(a + 23) Determine s so that -s**3 + 28*s**2 + 59*s + 30 = 0. -1, 30 Factor 5*c**4 - 190*c**3 + 535*c**2 - 350*c. 5*c*(c - 35)*(c - 2)*(c - 1) Factor o**3 - 102*o**2 + 3468*o - 39304. (o - 34)**3 Factor 2*j**2/3 - 26*j/3 - 280/3. 2*(j - 20)*(j + 7)/3 Determine u, given that 4*u**2/9 + 8*u - 160/9 = 0. -20, 2 Suppose 2*n**3 + 10*n**2/3 - 8*n = 0. Calculate n. -3, 0, 4/3 What is z in -4*z**2 - 7300*z = 0? -1825, 0 Find h, given that 3*h**3 + 60*h**2 + 237*h + 180 = 0. -15, -4, -1 Determine k so that 4*k**5 - 20*k**4 - 12*k**3 + 68*k**2 - 40*k = 0. -2, 0, 1, 5 Factor -o**2/2 + 23*o/2 + 12. -(o - 24)*(o + 1)/2 Suppose -g**3/5 - 86*g**2/5 - 1529*g/5 - 7744/5 = 0. What is g? -64, -11 Find h, given that h**5/4 - 5*h**4/2 - 3*h**3/4 + 7*h**2 + 5*h = 0. -1, 0, 2, 10 Let 2*r**2/11 - 8*r/11 = 0. What is r? 0, 4 Factor 2*h**2/11 + 2*h/11 - 12/11. 2*(h - 2)*(h + 3)/11 Factor 363*y**5 + 87252*y**4 + 7001292*y**3 + 188393280*y**2 + 67814400*y + 6144000. 3*(y + 80)**3*(11*y + 2)**2 Factor -2*n**2/5 - 16*n/5 + 72. -2*(n - 10)*(n + 18)/5 Determine k, given that 206*k**5 - 1240*k**4 + 1054*k**3 + 2452*k**2 - 48*k = 0. -1, 0, 2/103, 3, 4 Factor -2*z**3/3 + 16*z**2/3 + 2*z/3 - 16/3. -2*(z - 8)*(z - 1)*(z + 1)/3 Determine c so that 15*c**2 - 190*c - 65 = 0. -1/3, 13 Determine y so that 4*y**3 + 1176*y**2 - 2380*y - 3552 = 0. -296, -1, 3 Factor i**2 + 12446*i + 38725729. (i + 6223)**2 Suppose -p**2 - 108*p + 109 = 0. What is p? -109, 1 Let -q**2/2 + 11*q/2 + 6 = 0. Calculate q. -1, 12 Factor 5*b**2 - 30*b. 5*b*(b - 6) Solve u**2/3 + 295*u/3 - 296/3 = 0. -296, 1 Factor -s**3/3 + s**2 + 4*s/3. -s*(s - 4)*(s + 1)/3 Determine l, given that -16*l**2/7 - 744*l/7 - 8649/7 = 0. -93/4 Factor -2*s**4/13 - 164*s**3/13 - 3362*s**2/13. -2*s**2*(s + 41)**2/13 Factor 2*b**2/5 + 76*b/5. 2*b*(b + 38)/5 Factor g**3/3 - 32*g**2/3 + 60*g + 432. (g - 18)**2*(g + 4)/3 Factor -5*t**2 - 550*t - 545. -5*(t + 1)*(t + 109) Factor 3*c**2/4 + 597*c/2 + 118803/4. 3*(c + 199)**2/4 Determine q so that 5*q**3 - 45*q**2 - 125*q + 165 = 0. -3, 1, 11 Solve -5*i**5 - 110*i**4 + 780*i**3 + 2410*i**2 - 11975*i - 13500 = 0. -27, -4, -1, 5 Factor -5*k**2 + 790*k - 31205. -5*(k - 79)**2 Find a, given that -3*a**2 - 5844*a - 2846028 = 0. -974 Solve -5*c**5 + 15*c**4 = 0. 0, 3 Factor 7*u**4/5 + 9*u**3/5 - 82*u**2/5 - 24*u/5. u*(u - 3)*(u + 4)*(7*u + 2)/5 Factor 3*q**2 - 15*q - 108. 3*(q - 9)*(q + 4) Solve 5*b**4/6 + 10*b**3/3 - 5*b**2/3 - 10*b + 15/2 = 0. -3, 1 Factor 2*q**3 - 34*q**2 + 54*q + 90. 2*(q - 15)*(q - 3)*(q + 1) Find l, given that l**4/4 - 3*l**3/2 + l**2 + 3*l/2 - 5/4 = 0. -1, 1, 5 Factor -2*i**2/21 + 10*i/21 - 4/7. -2*(i - 3)*(i - 2)/21 Suppose -21*w**3/5 + 103*w**2/5 - 74*w/5 - 8/5 = 0. Calculate w. -2/21, 1, 4 Find p, given that -2*p**5/9 + 988*p**4/9 - 122018*p**3/9 = 0. 0, 247 Find o such that 125*o**5/6 - 925*o**4/3 - 4390*o**3 - 14876*o**2/3 - 5824*o/3 - 256 = 0. -8, -2/5, 24 Factor n**3 - 28*n**2/3 - 7*n + 10/3. (n - 10)*(n + 1)*(3*n - 1)/3 Factor i**3/4 - 5*i**2/2 - 13*i - 14. (i - 14)*(i + 2)**2/4 What is v in 21*v**5 + 36*v**4 - 12*v**3 = 0? -2, 0, 2/7 Factor -2*i**3/11 - 2934*i**2/11 + 534*i - 2938/11. -2*(i - 1)**2*(i + 1469)/11 Factor k**3/2 - 479*k**2 + 1910*k - 1908. (k - 954)*(k - 2)**2/2 Let r**2 - 39*r - 82 = 0. Calculate r. -2, 41 Factor -i**4 - 2*i**3 + 8*i**2. -i**2*(i - 2)*(i + 4) Factor -j**2/6 - 76*j/3 - 2888/3. -(j + 76)**2/6 Factor k**2 + 890*k + 198025. (k + 445)**2 Factor -2*k**2/9 - 56*k/9. -2*k*(k + 28)/9 Find g such that 4*g**2 + 12*g + 8 = 0. -2, -1 Factor -x**5/2 - 23*x**4/2 - 84*x**3 - 160*x**2 + 256*x. -x*(x - 1)*(x + 8)**3/2 Solve -2*y**3/3 - 2*y**2/3 = 0. -1, 0 Factor -3*h**4 - 3*h**3 + 3*h**2 + 3*h. -3*h*(h - 1)*(h + 1)**2 Suppose 2*p**3/5 - 46*p**2/5 + 86*p/5 - 42/5 = 0. What is p? 1, 21 Factor 3*d**2/4 - 6*d - 99/4. 3*(d - 11)*(d + 3)/4 Factor j**5/9 - 10*j**4/9 + 10*j**3/3 - 40*j**2/9 + 25*j/9 - 2/3. (j - 6)*(j - 1)**4/9 Factor -4*w**3/3 + 16*w**2/3 + 16*w. -4*w*(w - 6)*(w + 2)/3 Suppose -4*u**5 + 120*u**4 + 260*u**3 - 120*u**2 - 256*u = 0. What is u? -2, -1, 0, 1, 32 Factor d**3/5 - 31*d**2/5 + 112*d/5 - 108/5. (d - 27)*(d - 2)**2/5 Determine f so that 8*f**5 + 326*f**4 - 2266*f**3 + 3930*f**2 - 846*f = 0. -47, 0, 1/4, 3 Determine p, given that -p**3/8 + 5*p**2/8 + 13*p/8 + 7/8 = 0. -1, 7 Solve 2*p**3 - 18*p**2 - 42*p + 490 = 0 for p. -5, 7 Factor t**4/2 - 9*t**3/2 + 9*t**2. t**2*(t - 6)*(t - 3)/2 Find s, given that 3*s**2 - 186*s - 5865 = 0. -23, 85 Factor 3*z**2 + 8358*z + 5821347. 3*(z + 1393)**2 What is v in v**5/2 + 7*v**4 + 35*v**3 + 76*v**2 + 145*v/2 + 25 = 0? -5, -2, -1 Factor 3*q**3/5 - 27*q**2/5 + 12*q - 36/5. 3*(q - 6)*(q - 2)*(q - 1)/5 Factor z**4/3 - 53*z**3/3 - 406*z**2 - 4460*z/3 + 14200/3. (z - 71)*(z - 2)*(z + 10)**2/3 Factor 3*g**2 + 78*g +
{ "pile_set_name": "DM Mathematics" }
v + u. Calculate the highest common divisor of 12 and m. 12 Let o(d) = 3*d**2 + 30*d + 12. Let m be o(-9). Let p(b) = 4*b + 128. Let i be p(m). Calculate the highest common divisor of 442 and i. 34 Let x be 9/((-18)/(-10)) - 1. Suppose -x*g + 12 = 0, 9*g - 46 = -b + 6*g. What is the highest common divisor of b and 148? 37 Suppose 2*c = 3*c - 2. Let n be (-154)/(-77)*(2 - (-1 - -2)). Suppose c*t + 0 + 2 = n*d, -4*t + 31 = 3*d. What is the highest common factor of t and 44? 4 Let p(u) = 679*u + 93. Let d be p(3). Calculate the highest common factor of d and 30. 30 Let i be -2 + (6 + -2 - 2). Suppose -2*n + 3*u + 20 = 0, -n + u + u + 12 = i. Suppose 331 = n*p + 139. Calculate the greatest common divisor of p and 32. 16 Let b = -1007 + 1475. Let k = 242 + -206. What is the greatest common factor of b and k? 36 Suppose -5*d - 30 + 5 = 0. Let r = 5 - d. Suppose -4*h + 154 = -2*a - 176, 4*a - 300 = -4*h. What is the highest common factor of r and h? 10 Let h be (-5)/((-15)/81)*(-231)/(-63). What is the highest common factor of 44 and h? 11 Suppose 743*g = 745*g + 5*l - 2, -5*g + 2*l + 34 = 0. Let j = -90 - -102. What is the greatest common divisor of g and j? 6 Let w(d) = 21*d**2 - 3*d + 12. Let c(a) = a**2 + 1. Let t(j) = -9*c(j) + w(j). Let o be t(-2). What is the greatest common factor of 95 and o? 19 Suppose 0*s = -18*s + 324. Suppose 220 + 410 = s*r. Calculate the highest common factor of r and 21. 7 Suppose -367*z - 351 = -3*m - 364*z, -3*z - 123 = -m. Calculate the greatest common divisor of m and 5073. 57 Suppose 0 = -2*c - 2*z + 524, -484 = -2*c + 2*z + 36. Suppose 0 = 3*t + 3*g - 105, 6*t = 9*t - g - 109. What is the highest common factor of c and t? 9 Suppose -p + 332 = 104. Suppose 4187*v - 45 = -f + 4183*v, -300 = -5*f + 5*v. What is the highest common factor of p and f? 57 Let s = -57 - -55. Let a be 2 + 72/1 - (s + -1). Suppose -5*u - 15 = -50. What is the greatest common factor of a and u? 7 Suppose 0 = 4*v - 4. Suppose -242 = -12*z - 230. Calculate the greatest common factor of v and z. 1 Let j be (0 + 4 - (-44)/(-12))*12. Suppose 2*b = j*b - 418. What is the greatest common factor of 57 and b? 19 Let b(k) = -14*k - 30*k + 0*k - 73 - 3*k**2 + 12*k - 24*k. Let i be b(-17). Suppose 5*x - 4 = 16. Calculate the highest common factor of i and x. 4 Let k(v) = -2*v**2 - 38*v - 40. Let j be k(-16). Calculate the highest common factor of 7 and j. 7 Let q(d) = d**3 - 9*d**2 + 11*d - 12. Let i = -4 - -12. Let h be q(i). Suppose 412*a = 1151 - 327. Calculate the highest common divisor of h and a. 2 Suppose 0 = 7*g - 66 - 1194. Calculate the highest common divisor of g and 1680. 60 Suppose -52*s = -44*s. Suppose -2*z + 47 = 5*u, z + 3*u - 23 = -s*u. What is the highest common divisor of z and 234? 26 Suppose -10*w = 2*w - 1620. Let t be ((-120)/3)/(-8 - (-6 + 0)). Calculate the greatest common factor of t and w. 5 Suppose 173*g - 11046 - 6254 = 0. Calculate the highest common divisor of g and 3725. 25 Let p = 30 + -14. Let x be (-16)/((-10)/(-105) - (-50)/(-84)). Calculate the greatest common divisor of p and x. 16 Let h(g) = g**2 + 4. Let y(s) = -s**3 - 14*s**2 - 14*s - 4. Let x(c) = -3*h(c) - y(c). Let p be x(-4). Calculate the highest common factor of 352 and p. 16 Suppose 40 = 5*x - 15. Let g(q) = -488*q**3 + 21*q**2 + 23*q + 2. Let v be g(-1). Let c = v - 411. Calculate the greatest common factor of x and c. 11 Suppose -11*b - 11*b = 6*b - 14952. Calculate the greatest common divisor of 2 and b. 2 Let r = -742 + 1078. What is the highest common factor of r and 144? 48 Let g(n) = -3*n + 7. Let j be g(-6). Suppose 5*h - 868 = -5*h + 1382. What is the greatest common factor of h and j? 25 Let o = 24979 + -23450. Calculate the highest common divisor of 88 and o. 11 Suppose -2*j - 361 = -4*j + 5*w, -j + 5*w = -193. Suppose 5*c - 34 - 26 = -4*o, -3*c = -3*o - 9. Calculate the highest common divisor of j and c. 8 Let k = -123 - -108. Let u = 17 + k. Suppose 40 = i + i + 5*d, 40 = u*i + 4*d. What is the highest common factor of 50 and i? 10 Suppose 3*h - 896 = -6*u + 2*u, 5*u + 20 = 0. Let l = -234 + h. What is the greatest common factor of 168 and l? 14 Let a = -1382 - -1388. What is the highest common factor of a and 36? 6 Suppose 3958*v = 3929*v + 174. Let i be 19/3 - 1/3. What is the highest common factor of v and i? 6 Suppose 0 = 1156*t - 1163*t + 70. Calculate the greatest common factor of t and 2040. 10 Suppose 5*w - 957 = 78. Let o(r) = -r**3 + 2*r**2 + 24*r + 7. Let j be o(-8). Let x be ((-2)/4)/(j/230 + -2). Calculate the greatest common divisor of x and w. 23 Suppose -289*p - 540790 = -2442337 - 600904. Calculate the highest common factor of p and 7. 7 Let m = 3048 - 2628. Calculate the greatest common factor of 1500 and m. 60 Suppose -3*c + 41 = 2*u, -7*u + 3*c + 109 = -3*u. Let y(x) = 3*x**3 - 8*x**2 - 13*x - 7. Let p be y(6). What is the highest common factor of u and p? 25 Suppose -g + 165 = -5*q, -3*q - 16 = 4*g + 106. Let f = q - -83. Suppose 2*o - 5*h = 17, -4*o + f = -0*o + 5*h. What is the greatest common divisor of o and 22? 11 Let r(y) = -5*y - 23. Let p(m) = 6*m - 2. Let o be p(3). Suppose o + 12 = -4*j. Let n be r(j). What is the highest common factor of n and 3? 3 Let t = 998 - 704. Let d = -96 + t. Calculate the greatest common divisor of 18 and d. 18 Let f = 6 - -17. Suppose -7*u + 19 = -f. Let c(h) = -h**3 + 6*h**2 + h + 8. Let v be c(u). What is the highest common divisor of v and 14? 14 Let r(i) = 5*i**2 + 10*i + 8. Let d be r(-1). Suppose -5*m = -5*n + 2145, -2*n + 680 = -d*m - 178. What is the greatest common divisor of n and 33? 33 Let i(o) = -199*o - 529. Let w be i(-3). Calculate the greatest common factor of 2788 and w. 68 Suppose -60*d + 74*d - 308 = 0. What is the greatest common factor of 913 and d? 11 Let i(k) = 34*k + 9. Let n(j) = 69*j + 19. Let u(x) = 5*i(x) - 2*n(x). Let z be u(-2). Let c = -33 - z. Calculate the highest common divisor of 32 and c. 8 Suppose 1162 = 4*g + 2*z, -z - 3*z = -3*g + 844. What is the greatest common factor of 960 and g? 96 Let a be (71/(-142))/(0 + (-4)/64). Calculate the highest common divisor of 54 and a. 2 Let m(l) = -2945*l - 3355. Let w be m(-7). What is the greatest common factor of w and 20? 20 Let x(y) = -87*y + 9695. Let m be x(111). What is the greatest common factor of m and 15960? 38 Let o be 13 - 22 - -1966 - (-1 + 6). Calculate the highest common divisor of 61 and o. 61 Suppose 14 = 5*k - 76. Let a(l) = -l**3 - 106*l**2 - 305*l + 556. Let y be a(-103). What is the greatest common divisor of k and y? 18 Let q = -6798 + 8156. Calculate the highest common factor of q and 140. 14 Let r = 34791 + -34404. Calculate the highest common factor of r and 9. 9 Let x(s) = -5*s**3 + 5*s**2 + 3*s - 1. Let p be x(3). Let k = 22 + p. Let m = 115 + k. What is the highest common divisor of 22 and m? 11 Let l(u) = -u**2 - 6*u + 9. Let b be l(-5). Suppose 20*g - 150 = b*g. Calculate the highest common divisor of 35 and g. 5 Let x(r) = 89*r + 269. Let j be x(-3). Let n be (-2)/(-2) - -32 - -3. What is the highest common divisor of n and j? 2 Let r be (-2)/3*(-456225)/50. What is the greatest common factor of 158 and r? 79 Let k = 1032 + -514. Let m = -416 + k. Calculate the highest common divisor of m and 340. 34 Suppose -5*p = -4*g - 30, 3*g = 5*p + 7*g + 10. Let j be (-39)/p*(-4)/6. Suppose 16 = 4*q - w - 4*w, q + w = j. What is the greatest common factor of 9 and q? 9 Let l(p) = -8*p**3 + p**2 + 2*p + 5. Let z be l(-3). Let t = z - 212. What is the greatest common divisor of 30 and t? 6 Suppose -154*i = -145*i - 2196. Suppose 3*a - a = 8, -5*a - 224 = -4*q. What is the greatest common factor of i and q? 61 Suppose 23*a = 3*i - 1408, -i - 4*a + 504 = -3*a. Calculate the greatest common factor of i and 900. 100 Suppose -3*g = -x - 8, 2*g + 15*x = 10*x - 6. Suppose c - 2*c + 25 = -g*f, f + 38 = 2*c. What is the highest common factor of 51 and c? 17 Let z be (-54)/(-10 + 1) - (-2)/(4/2702). What is the greatest common factor of 115 and z? 23 Let f(z) = -z**3 - 8*z**2 + z + 7. Let r be f(-8). Let i be (-1)/r*(408/4)/6. Calculate the highest common factor of i and 272. 17 Let s be (-1320)/(-100)*(-4675)/(-15). Calculate the highest common factor of s and 34. 34 Suppose -3*b - 4*p - 31
{ "pile_set_name": "DM Mathematics" }
/4, 2/5, -0.3 in descending order. 2/5, -2/47, -1/4, -0.3, -38/7 Sort 112, 1/2, 0.002, 1 in descending order. 112, 1, 1/2, 0.002 Put -97584, -3, -5 in increasing order. -97584, -5, -3 Sort -1/2, -4/3, -1/8, 28/37, -3 in decreasing order. 28/37, -1/8, -1/2, -4/3, -3 Put 556, -3, 10 in ascending order. -3, 10, 556 Put 5, -459, -2, 4, 16 in descending order. 16, 5, 4, -2, -459 Sort 1/8, 5/2, 0.31, 3, 23, 0 in descending order. 23, 3, 5/2, 0.31, 1/8, 0 Put 5, 3, -4, 4, -1, -8 in ascending order. -8, -4, -1, 3, 4, 5 Sort 28, 1, 1142, -6 in increasing order. -6, 1, 28, 1142 Put -1, 4, 16, 23, -14 in decreasing order. 23, 16, 4, -1, -14 Put 69, 27, 2 in decreasing order. 69, 27, 2 Sort 3, -583, 373 in descending order. 373, 3, -583 Put -4, -20, -2, -5, 28 in descending order. 28, -2, -4, -5, -20 Put -13, -43, 888, -3 in decreasing order. 888, -3, -13, -43 Sort 4, 163/9, -4 in ascending order. -4, 4, 163/9 Sort -112, -2, 1, 5, 163 in ascending order. -112, -2, 1, 5, 163 Sort -2/7, 0, -4/5, -461, -0.3 in descending order. 0, -2/7, -0.3, -4/5, -461 Sort -8, -2, -31, 0, -3 in descending order. 0, -2, -3, -8, -31 Put 2, -4, 1, 18, 86 in descending order. 86, 18, 2, 1, -4 Sort 2, -6, 3, -1609 in increasing order. -1609, -6, 2, 3 Put -0.102, -1/3, 1, 0.02 in decreasing order. 1, 0.02, -0.102, -1/3 Sort -0.035, -3/5, 1508 in ascending order. -3/5, -0.035, 1508 Sort -5, -6, 2, -15 in decreasing order. 2, -5, -6, -15 Sort 47, 5, -3, 25 in descending order. 47, 25, 5, -3 Sort -57, -3, -35, 0, -5 in increasing order. -57, -35, -5, -3, 0 Put -4, 5, 26, -3, -8 in descending order. 26, 5, -3, -4, -8 Put -1865, 8, 4 in increasing order. -1865, 4, 8 Sort 4, 1, 319, -6 in descending order. 319, 4, 1, -6 Sort -0.2, 3, -47, 54. -47, -0.2, 3, 54 Put 15334, 0.3, 20 in descending order. 15334, 20, 0.3 Sort 5, -4, 110509 in descending order. 110509, 5, -4 Sort -3, -1, -2529, 69. -2529, -3, -1, 69 Sort 3, -10728, 1, -2 in decreasing order. 3, 1, -2, -10728 Sort -31, -4, 5, -70 in descending order. 5, -4, -31, -70 Sort 3, 0.5, -2, 3/16, 691/8, -2/19 in increasing order. -2, -2/19, 3/16, 0.5, 3, 691/8 Sort -5, -8342, 1 in descending order. 1, -5, -8342 Sort -1775, 5/2, -6 in increasing order. -1775, -6, 5/2 Sort -1, -4, -5, 14, 9 in decreasing order. 14, 9, -1, -4, -5 Sort 3/8, 2.4, -6329, 1 in ascending order. -6329, 3/8, 1, 2.4 Sort 2, -1030, -4, -2 in ascending order. -1030, -4, -2, 2 Sort 0, -510, 6, -3. -510, -3, 0, 6 Put 2, 3, -3, 1, 18, -11 in increasing order. -11, -3, 1, 2, 3, 18 Sort -3, -4, -39469, 3 in decreasing order. 3, -3, -4, -39469 Put 2/5, 3/7, 1, -2/33, -2 in increasing order. -2, -2/33, 2/5, 3/7, 1 Sort 1/7, 955, 1/3, 5, -3 in decreasing order. 955, 5, 1/3, 1/7, -3 Put -3, -55/2, -1/5, -2 in descending order. -1/5, -2, -3, -55/2 Sort 0, -1, -0.1, -36, 6.3, 0.1 in decreasing order. 6.3, 0.1, 0, -0.1, -1, -36 Put 4, -1, -14, 11 in descending order. 11, 4, -1, -14 Sort 15/7, 3, -1, -8, -1/3, -22 in ascending order. -22, -8, -1, -1/3, 15/7, 3 Put 1051, -1, -2, 3, 0 in increasing order. -2, -1, 0, 3, 1051 Sort 2, 31171, -5, 1 in decreasing order. 31171, 2, 1, -5 Sort -4, 0.1, 1, 5, 100 in increasing order. -4, 0.1, 1, 5, 100 Sort 1, -6, -0.9, -1, 4/13, 3.5. -6, -1, -0.9, 4/13, 1, 3.5 Sort 1, 0.38, 2, -1/4, 5 in ascending order. -1/4, 0.38, 1, 2, 5 Sort 5, 49, -588 in descending order. 49, 5, -588 Sort 0.02, 5/2, 1/4, -34.9 in decreasing order. 5/2, 1/4, 0.02, -34.9 Sort 3, -6, -4634 in decreasing order. 3, -6, -4634 Sort -5, 10755, 5 in descending order. 10755, 5, -5 Sort -25, -9348, 3. -9348, -25, 3 Put -4, -3, 46, 156, 21 in descending order. 156, 46, 21, -3, -4 Sort 5, -81, 16, -20 in decreasing order. 16, 5, -20, -81 Sort -5, -0.14, -632. -632, -5, -0.14 Sort 5, -1, 15, 5981 in decreasing order. 5981, 15, 5, -1 Sort 2, 4/7, 4, -0.0517. -0.0517, 4/7, 2, 4 Sort -1.2, 22, -45, -3. -45, -3, -1.2, 22 Sort 222, -399, -5, -1, 0 in decreasing order. 222, 0, -1, -5, -399 Put -3, 4, -20, -11893, 0 in decreasing order. 4, 0, -3, -20, -11893 Sort 4, 0, -0.4, 0.2, 14, -0.2 in decreasing order. 14, 4, 0.2, 0, -0.2, -0.4 Sort -0.0328, 4, -759 in decreasing order. 4, -0.0328, -759 Put 5, -2, -22, 6, 0, -8 in ascending order. -22, -8, -2, 0, 5, 6 Sort 3, 189, 6/25, -3 in decreasing order. 189, 3, 6/25, -3 Put -725, 0.2, 198, 0.4, -1/4 in descending order. 198, 0.4, 0.2, -1/4, -725 Put 2, -2, -816, -67 in ascending order. -816, -67, -2, 2 Sort 5, 6, -2127, 26, -5, -3 in decreasing order. 26, 6, 5, -3, -5, -2127 Put -567, 1, -0.47 in ascending order. -567, -0.47, 1 Sort 0.2, 1/9, 7894 in descending order. 7894, 0.2, 1/9 Sort -4, -13, 2, -3, 5, -657. -657, -13, -4, -3, 2, 5 Sort -243, -6, 2, -8, 5 in descending order. 5, 2, -6, -8, -243 Sort 1, -27, 0, -2.5, -1/10 in descending order. 1, 0, -1/10, -2.5, -27 Sort -3, -6, -42, -2, -1, -4. -42, -6, -4, -3, -2, -1 Put -4, 3, -3, 49, -52, -10 in decreasing order. 49, 3, -3, -4, -10, -52 Sort -5, -0.07, -9, -1/2, -102. -102, -9, -5, -1/2, -0.07 Sort 0.3, 0.4, -9, 20, -0.4 in decreasing order. 20, 0.4, 0.3, -0.4, -9 Sort 3, 1/5, -135/2, 2/13, 9. -135/2, 2/13, 1/5, 3, 9 Put -0.03, -35, 4 in descending order. 4, -0.03, -35 Put -78, 1, -5, -73 in decreasing order. 1, -5, -73, -78 Put -5, -8, -60, 6 in ascending order. -60, -8, -5, 6 Sort 3, -2, 5, -184, -0.7 in descending order. 5, 3, -0.7, -2, -184 Put 12, -451, 2/9, 24 in decreasing order. 24, 12, 2/9, -451 Sort 6, 5, -15, -3 in descending order. 6, 5, -3, -15 Put -2, -45, -3, 4, 0, 1 in increasing order. -45, -3, -2, 0, 1, 4 Sort 4, 0.0134, 113, -1/4, 2. -1/4, 0.0134, 2, 4, 113 Sort -12, -22, -5, -1, 0 in descending order. 0, -1, -5, -12, -22 Sort -0.3, 261, 0.06, 9. -0.3, 0.06, 9, 261 Sort 1462, 6.7, -7 in decreasing order. 1462, 6.7, -7 Put -2/33, 1/3, 162, 4 in decreasing order. 162, 4, 1/3, -2/33 Sort -2, -0.1, -2/3, -0.5, 45, 1 in descending order. 45, 1, -0.1, -0.5, -2/3, -2 Put 3/7, -1, 11423 in descending order. 11423, 3/7, -1 Put -251, -0.2, -1/2, -53, -3 in decreasing order. -0.2, -1/2, -3, -53, -251 Sort -9, -2, 7, -4, 2. -9, -4, -2, 2, 7 Sort -15, 4, -5, 48. -15, -5, 4, 48 Put 0, 6, 5, 4, -3189 in decreasing order. 6, 5, 4, 0, -3189 Put 5, 219/20, 2/7, 1/4, 0.1 in decreasing order. 219/20, 5, 2/7, 1/4, 0.1 Put -272, -17, -54 in decreasing order. -17, -54, -272 Put -15, 2.52, 2, 1, -3/5 in increasing order. -15, -3/5, 1, 2, 2.52 Put -0.0372, -3, 3, 8 in ascending order. -3, -0.0372, 3, 8 Sort -0.1, -5/2, -119, 6.7. -119, -5/2, -0.1, 6.7 Sort -14, -6, 6, -5/2, -17 in decreasing order. 6, -5/2, -6, -14, -17 Sort -1, 16, 5, 3, 2, -7 in descending order. 16, 5, 3, 2, -1, -7 Sort -0.1, -0.145097, 1/4 in descending order. 1/4, -0.1, -0.145097 Sort -2124, 1/3, -5/6, -4, -5 in decreasing order. 1/3, -5/6, -4, -5, -2124 Sort -7, -279, -452. -452, -279, -7 Put 1, 5, -3, 3, 573 in decreasing order. 573, 5, 3, 1, -3 Sort -0.4, 5, 0, -1, 61/104, 0.5 in decreasing order. 5, 61/104, 0.5, 0, -0.4, -1 Put 5519, -1, 3, 9 in ascending order. -1, 3, 9, 5519 Put -1, -488, -34 in increasing order. -488, -34, -1 Put 5, 3/5, -1, 2, -2.3, -1/4 in descending order. 5, 2, 3/5, -1/4, -1, -2.3 Put 6980, -2/17, 6, -6 in descending order. 6980, 6, -2/17, -6 Sort -5, 3, -3/5, -1, -2. -5, -2, -1, -3/5, 3 Sort -108653, -3, 4. -108653, -3, 4 Sort -41.48, -5, -1. -41.48, -5, -1 Sort 2, -24/11, -0.06, -5, 0.5 in decreasing order. 2, 0.5, -0.06, -24/11, -5 Put 3.463, 0, 8, -0.5 in descending order. 8, 3.463, 0, -0.5 Put -3, 4, 51.5, 5, 4.1 in descending order. 51.5, 5, 4.1, 4, -3 Sort 42, 511, 5 in decreasing order. 511, 42, 5 Sort -3, -1, 78, 165. -3, -1, 78, 165 Put 12, -23/9, 0.047 in decreasing order. 12, 0.047, -23/9 Sort 3/41, 8/9, 14 in descending order. 14, 8/9, 3/41 Sort -1/6, -18, 24, 41, -2 in increasing order. -18, -2, -1/6, 24, 41 Put 3, -1, 15334, 9 in increasing order. -1, 3, 9, 15334 Sort 0, 18, -9, 3, -201, 2 in decreasing order. 18, 3, 2, 0, -9, -201 Put -199.9, -4, 0 in decreasing order. 0, -4, -199.9 Sort 22, 8, 0.4, 2, 0.3. 0.3, 0.4, 2, 8, 22 Put -14, -2/7, -7/3, -111, -3, 0.2 in ascending order. -111, -14, -3, -7/3, -2/7, 0.2 Sort -11811, 2, -2. -11811, -2, 2 Put 4, -3, 1, -17, -1, 352 in decreasing order. 352, 4, 1, -1, -3, -17 Sort -5, -13, 3, 1/6, -0.6, 2/7 in descending order. 3,
{ "pile_set_name": "DM Mathematics" }
hat is k rounded to the nearest 1000? -1000 Let f = -726 + 513. Let z = f - 219. Let c = z - -822. Round c to the nearest one hundred. 400 Let n(p) = -4999991*p + 6. Let g(q) = -1666664*q + 2. Let x(a) = -7*g(a) + 2*n(a). Let l be x(-3). Round l to the nearest one million. -5000000 Let p = 0.13 - 0.06. Let v = p - 0.06956. What is v rounded to 4 dps? 0.0004 Let g = -0.011 + 2.461. Round g to 1 decimal place. 2.5 Let m = -355.9999733 - -356. What is m rounded to six dps? 0.000027 Let z(p) = 349996*p**2 - 6. Let c(h) = 349995*h**2 - 7. Let j(w) = -5*c(w) + 6*z(w). Let m be j(-1). What is m rounded to the nearest one hundred thousand? 400000 Suppose 2*j + 2*j = 8. Suppose 0 = b + j*b. Suppose -363000 = -b*i + 3*i. Round i to the nearest ten thousand. -120000 Let i = -0.17 + 0.1700085. Round i to 6 decimal places. 0.000009 Suppose -r + 3*t - 645200 = 0, 6*r - 3*r = 3*t - 1935570. Let c = 333718 + r. Let p = 101467 + c. What is p rounded to the nearest one hundred thousand? -200000 Let g = -1335288 + 1335289.3999928. Let i = -2.4 + 3.8. Let b = g - i. What is b rounded to 6 dps? -0.000007 Let o = 17.5 - -6.1. Let l = o + -23.59999827. Round l to seven decimal places. 0.0000017 Let p = -91.9839 + 92. What is p rounded to three decimal places? 0.016 Let u = -5.3 - -5.3000073. What is u rounded to 6 dps? 0.000007 Let f = 29 + -19. Let u = f - 10. What is u rounded to five dps? 0 Let r = 0.8950587 + -0.895. What is r rounded to five dps? 0.00006 Let p(a) = -32300001*a - 1. Let m be p(-1). Round m to the nearest one million. 32000000 Let y(v) = 2*v - 2. Let m be y(2). Let a(p) = -316*p + 2. Let l be a(m). What is l rounded to the nearest one hundred? -600 Let y = -7.5084 + 7.5. What is y rounded to three decimal places? -0.008 Let p(f) = -f**2 + 2. Let r be p(0). Let x = r + 3. Let h(l) = l**3 - 2*l**2 - 2*l + 5. Let q be h(x). What is q rounded to the nearest ten? 70 Let u = -0.7 - 1.3. Let s = -1.6 - u. Round s to 1 dp. 0.4 Let u = -80 - -79.999878. Round u to 5 dps. -0.00012 Let x = -6995.7 - -7384. Let c = x + -368. Let l = 22 - c. What is l rounded to zero decimal places? 2 Let c(m) = -78*m**3 + 13*m**2 - 6*m - 16. Let r be c(12). Round r to the nearest 10000. -130000 Let p = 58.9959 + -59. What is p rounded to 3 decimal places? -0.004 Let z = -0.042 - -51.042. Let a = -31359.958 - -31309. Let m = z + a. What is m rounded to two decimal places? 0.04 Let s = 0.106 + -0.043. Round s to two dps. 0.06 Let v be 31649/(-2)*932/(-2). Let r = v - 16674217. Round r to the nearest one million. -9000000 Let w = 67 + -12. Let j = 139 - w. Let d = -77.3 + j. Round d to the nearest integer. 7 Let c = 0.019451 + -0.0035956. Let z = -0.3840436 - c. Let p = z - -0.4. Round p to five dps. 0.0001 Let g(s) = -s - 1. Let y be g(-4). Suppose -y*b + 342 = -b. Suppose 4*p = -b - 29. Round p to the nearest 100. -100 Let x = -59.28 + 58. Let n = x - -2.01. What is n rounded to 1 dp? 0.7 Let l = -19.7 + 7. Let d = -18 - l. Let i = d - -3. Round i to the nearest integer. -2 Let h = 15.62 - -54.08. Let m = h + -8.7. Let r = 61.0000037 - m. What is r rounded to 6 dps? 0.000004 Let f = -95 + -220. Suppose 0 = -6*t + t + 4*y - 529, 0 = -4*t + 4*y - 424. Let n = t - f. What is n rounded to the nearest 100? 200 Let u = -23.5 - -16. Let n = 7.5124 + u. Round n to three decimal places. 0.012 Let l = -0.08817 - 0.91323. Let f = l + 1. Round f to three decimal places. -0.001 Let c = -3018974 - -11098974. Suppose -c = 2*o + 2*o. What is o rounded to the nearest one hundred thousand? -2000000 Let a = -67302 + 22508. Let k = 44978.19 + a. Let u = -185 + k. Round u to one dp. -0.8 Suppose 0 = 2*p - p - 186000. Round p to the nearest 10000. 190000 Let n = 29099849.96149464 + -29099851. Let d = -0.16149486 + n. Let p = -1.2 - d. What is p rounded to seven dps? 0.0000002 Let k = -5 - -2. Let b = k + 3.01. Let q = 0.00999985 - b. Round q to 7 dps. -0.0000002 Let c = -99.47 - -95.4. Let i = c + 4. Let d = i - -0.67. Round d to one dp. 0.6 Let f(t) = -6944*t**2 + 7*t + 20. Let a be f(-12). Round a to the nearest one million. -1000000 Let y = -21.9537 - -1.0217. Let r = -21 - y. Round r to 2 decimal places. -0.07 Suppose x - 21 = -134. Round x to the nearest ten. -110 Let k = -2.1 + -7.9. Let y = k + 10.000194. What is y rounded to 5 dps? 0.00019 Let b be ((-2)/(-6))/(2/12). Suppose 2*o + 300000 = -b*o. What is o rounded to the nearest 10000? -80000 Let d = 44 - 62. Let h = -18.00007 - d. What is h rounded to four decimal places? -0.0001 Let s = 243 - 240.67. What is s rounded to 1 dp? 2.3 Let q = 51 + -51.00000093. Round q to 7 dps. -0.0000009 Let y = -240589553.00000055 + 240589573. Let d = -20 + y. What is d rounded to seven dps? -0.0000006 Let x be 7/(-2)*(-8)/14. Suppose 0 = -x*m + 3*m + 2. Let n(q) = -13*q**3 - 2*q**2 - 2*q. Let g be n(m). What is g rounded to the nearest 1000? 0 Let l = -0.04 + -0.08. Let v = l - -0.29. Round v to 1 decimal place. 0.2 Let a = 6 + -5.9. Let i = a + 0.14. What is i rounded to 1 decimal place? 0.2 Let o = -8.0007 + 8. Round o to three decimal places. -0.001 Let d = -7.61 + 0.11. Let i = 158322804.19999907 + -158322796.7. Let p = i + d. What is p rounded to 7 decimal places? -0.0000009 Let k be (-8)/6*(-12)/8. Let c be 0/k + -289997 + -3. Round c to the nearest one hundred thousand. -300000 Let k = -0.87 - -1. Let s = 0.1299989 - k. Round s to 6 decimal places. -0.000001 Let t = -1 - -8. Let z(n) = n**2 + 11*n + 21. Let x be z(-9). Suppose 0 = r - 3*y + 1419994, 2*r - t*r - x*y = 7100006. What is r rounded to the nearest 100000? -1400000 Let h = -1.38 + 0.08. Round h to the nearest integer. -1 Let g = -0.01 + 0.2. Let y = -11106.18892 - -11106. Let l = g + y. Round l to 4 decimal places. 0.0011 Let c(l) = -1217*l + 19. Let z be c(7). What is z rounded to the nearest 1000? -9000 Let c(l) = -2088*l**2 - 15*l - 7. Let m be c(-9). What is m rounded to the nearest 10000? -170000 Let u be (-201600)/(-2)*625/10. What is u rounded to the nearest one million? 6000000 Let d = -12 + 3. Let x(p) = p**3 + 9*p**2 + p + 11. Let b be x(d). Suppose 0 = 5*y - b*y - 3900000. What is y rounded to the nearest one million? 1000000 Let w = -82 + 81.615. Round w to 2 decimal places. -0.39 Let q = -0.08 + 0.162. Let t = -0.049 + q. What is t rounded to two dps? 0.03 Let h = -1.06 - -0.16. Let d = -3.1 + h. Let q = -3.24 - d. What is q rounded to one decimal place? 0.8 Let v = -134.00000175 - -134. What is v rounded to 6 dps? -0.000002 Let m = -4.533 + -3939.467. Let t = m - -3941.809. Let p = t + 2.2. Round p to two decimal places. 0.01 Let k be (-10)/25 - (-2)/5. Let l be (k + 9)/(-3) - -170. Let s = -47 + l. Round s to the nearest 100. 100 Suppose 0 = -4*t + 4, z = -4*t + 514824 + 1985180. What is z rounded to the nearest one million? 3000000 Suppose -66666 - 212334 = 3*f. What is f rounded to the nearest 10000? -90000 Let k = 266.000273 - 266. What is k rounded to five dps? 0.00027 Let d = -3 - -2. Suppose 0 = -2*w - 12 + 4. Let g be d/2 + (-29202)/w. Round g to the nearest 1000. 7000 Let c = 2.4 - 1.48. Let o = 0.08 + c. Let f = o + -1.00000005. Round f to seven dps. -0.0000001 Let b = -6037 - -4142. Let c = b - -3495. What is c rounded to the nearest 1000? 2000 Let x(b) = -3*b**3 + b**2 + b. Let m be x(-1). Let k be m/(-4) - (-11)/4. Let h be (1 + -2)*k*7750000. What is h rounded to the nearest 1000000? -16000000 Let w = 40 - 41.7. Let o = w - -1.26. Round o to 1 decimal place. -0.4 Let v = 317 + -298.9. Round v to 0 decimal places. 18 Let n(i) = 2*i - 12. Let v(r) = 3*r - 24 + 2 - 3. Let g(b) = 5*n(b) - 2*v(b). Let y be g(-9). Round y to the nearest 10. -50 Let r(g) = 0 + g**2 + g + 2*g + 29630*g**3 - 4*g - 2. Let l be r(-3). What is l rounded to the nearest one hundred thousand? -800000 Let r(c) = 1416669*c - 28. Let k be r(12). What is k rounded to the nearest 1000000? 17000000 Let n(y) = 234278*y + 2. Let w be n(-2). Let d = w - -1268554. What is d rounded to the nearest one million? 1000000 Let s = 0.34 + -0.5. Let d = 0.071641 - -0.088385. Let p = d + s. What is p rounded to five decimal places? 0.00003 Suppose u = 444 - 2629. Let l = u - -3853. Suppose 208 = 2*s + l. What is s rounded to the nearest one hundred? -700 Let f = -4 + 9. Suppose -2*q = -3*u - f, q - u - 1
{ "pile_set_name": "DM Mathematics" }
). -5866*v Expand (61 - 111 - 270)*(-83 - 113 + 226 + 2*y). -640*y - 9600 Expand (2 + 353627*l - 2 - 349157*l)*(-4*l**2 + l**4 + 7*l**2 + l**4). 8940*l**5 + 13410*l**3 Expand (-3 + 5 - 3)*(1 + 3 - 3)*((-4 - 1 + 0)*(3 - 3 - s) + 2*s - 4*s + 5*s) + 3 + 4*s - 3. -4*s Expand (2*n + 3 - 3)*(4*n**3 + 25*n**3 - 6*n**3)*(-635 + 635 - 54*n). -2484*n**5 Expand (-318 + 335 - 180*p + 208*p)*(2*p - p + 2*p). 84*p**2 + 51*p Expand 3*d - 2*d + 0*d + (938*d - 927*d - 2 + 1)*(-2 - 1 - 3). -65*d + 6 Expand (-2*g**2 + 4*g**2 + 2*g**2)*(21*g**2 - 20*g**2 - 2*g - 106 + 0*g**2). 4*g**4 - 8*g**3 - 424*g**2 Expand (0 + 1 - 2)*(2 - 2 + 2)*(-607*c**5 + 4*c**3 - 687*c**5 + 1061*c**5). 466*c**5 - 8*c**3 Expand 3*i**2 + 3*i - 3*i + (2*i + 0*i - 5*i)*(3*i - 2*i + i) + (3*i - i + 0*i)*(-465 + 286*i + 465). 569*i**2 Expand (x**2 + 3*x**2 - 6*x**2)*(-3*x + x + 4*x) + (61*x**2 + 165*x**2 - 109*x**2)*(4*x - 5*x + 3*x). 230*x**3 Expand y + y + 2*y + (0 + 1 - 3)*(y - 4 + 4) + 3*y - 4*y + 0*y + 4 + 4*y - 4 + (-5 + 3 + 3)*(y - 2 + 2) + 1 - 1 + y + (1 - 2 + 8)*(10*y - 34*y + 10*y). -91*y Expand -2*f + 2*f + 2*f + (-724*f - 411*f + 1481*f)*(3 - 3 + 4). 1386*f Expand w + 11*w**3 - 25*w**3 - 3*w - 2*w**2 + (595*w**3 + 48433*w - 48433*w)*(0 + 1 + 1). 1176*w**3 - 2*w**2 - 2*w Expand (-1 + 2 + 1)*(10*r**4 - 6*r**4 - 3*r**4 + 12 - 12 + 3*r**4 + (r**2 - 1 + 1)*(-r**2 + 0 + 0) - 6*r**4 + r**4 + 4*r**4). 4*r**4 Expand (-6*c - 6*c + 5*c + (5 - 5 - 3*c)*(59 - 42 + 64))*(c - 2*c - c). 500*c**2 Expand (r + 0*r - 3*r)*(15 + 4 - 8)*(303*r + 10*r + 67*r). -8360*r**2 Expand 103*y - 74*y + 230*y - 6*y + y + 3*y + (2 - 5 + 1)*(-3 + 2*y + 3). 253*y Expand (c - 8*c + 2*c)*(1 + 0 - 3)*(5334*c - 3056*c**3 - 5334*c). -30560*c**4 Expand (-542*v - 265*v - 72*v)*(-2 - 4 + 4). 1758*v Expand (11*t - 2 + 2)*(139 + 194 + 842 - 158 + 516). 16863*t Expand -3*l + 3*l - 5*l + (3 - 1 + 4)*(l - 2*l - l) + 13*l - 8 + 8. -4*l Expand 0*d**5 + d**5 - 2*d**5 + (-4*d**2 + 26*d**2 - 2*d**2)*(0*d + 3*d - 2*d)*(0*d - d - 54 + 23095*d**2 - 23097*d**2). -41*d**5 - 20*d**4 - 1080*d**3 Expand -124*r**5 - 22*r**5 + 20*r**5 + (7 - 2 - 1)*(-r**3 - 2*r**5 + r**3) + 2*r**5 + 0*r**4 + 0*r**4. -132*r**5 Expand -554 + 2*h**3 - 59 - 162 + 0*h + h**3 + 0*h + (-2*h**3 + 4*h**3 + 0*h**3)*(-3 + 5 + 0) - 4 - h**3 + 4 + 3*h**2 - 3*h**2 - h**3. 5*h**3 - 775 Expand (-j + j + 2*j)*(-2*j**3 + 2*j**3 + j**4) - 3455*j**5 - 3802*j**5 + 8598*j**5 + 3*j**5 - 4*j**5 - j**5. 1341*j**5 Expand (-7*p**4 + 0*p**4 + 2*p**4)*((0 - 27 + 14)*(1 - 4 + 1) + (7 + 2 - 3)*(4 + 0 - 3))*(-3 + 2*p + 3). -320*p**5 Expand -2*q**3 + 0*q**3 - q**3 + 0*q**3 - 3*q**3 + 2*q**3 + (3*q + 2*q - 3*q)*(-4*q**2 + q**2 + q**2) + 61434*q**2 - 61434*q**2 + 494*q**3. 486*q**3 Expand (-72 - 82 + 84 + (-1 - 1 + 0)*(-5 + 3 + 0))*(-2*g - 3*g - 12*g). 1122*g Expand (2*t + 0 + 0)*(-1 - 2 + 5)*(2*t**2 + 2*t**2 - 6*t**2)*(2 + 0 + 0)*(1 + 3 - 2)*(-2 + 7 + 3). -256*t**3 Expand 19*m**3 - 18*m**3 - 21*m**2 + 32*m**2 - m**3 + 2*m**3 - 4*m**3 + (5*m - 5*m + 2*m)*(4*m**2 - 3*m**2 + 3*m**2) + 0*m**2 + 0*m**2 - m**3. 5*m**3 + 11*m**2 Expand (-4*d + d + d)*(5135*d - 5135*d - 155*d**4 + (1 + 3 - 7)*(3*d**2 - 2*d**2 - 3*d**2)*(-3*d**2 + d**2 + 4*d**2)). 286*d**5 Expand -4*g - 38*g - g**2 + 20*g + 4*g**2 + 3 - 3 + (g - 3*g + 0*g)*(4*g + g - 2*g). -3*g**2 - 22*g Expand (-48*c + 13*c - 173*c)*(-c + 5*c - 2*c + (-18 + 10 - 6)*(c + 0 + 0) + 4*c + 0*c - 3*c). 2288*c**2 Expand (-373 + 373 - 43*c**3)*(-1 + 0 + 2)*(6 - 6 - 2*c). 86*c**4 Expand (8*v**5 - 3*v**5 - v**5)*((-1 - 1 + 1)*(0 - 5 + 4) + 15 - 17 - 9 + (2 + 0 - 3)*(-2 + 2 - 2)) + 0*v**5 + v**5 + 2*v**5. -29*v**5 Expand -2*z - 2*z**5 + 2*z + (0*z + 3*z - 2*z)*(-26*z - 26*z + 61*z)*(z**3 + 2*z - 2*z) - 5*z**5 - z**5 + z**5. 2*z**5 Expand (u**3 + 1 - 1)*((22 - 22 + 6*u)*(u - u + u) - 7 + 7 - u**2 + 13*u**2 - 63 + 63). 18*u**5 Expand 0*h + 0*h + 2*h**3 + ((0*h + 2*h - h)*(-2*h + 0*h + 4*h) + 3*h**2 + 2*h**2 + 0*h**2)*(-139*h - 152*h + 95*h). -1370*h**3 Expand (2*l**2 - 3*l**2 - 4*l**2)*(l + l + 0*l) + (2*l**2 - 2 + 108*l**3 - 143*l**3 - 4*l**2)*(3 + 0 + 1 + (-3 + 3 + 1)*(0 + 1 - 2)). -115*l**3 - 6*l**2 - 6 Expand w**2 - w**2 + w**2 + (2 + 1 - 2)*(w + w - 3*w + (-3*w + 0*w + 4*w)*(1 + 3 - 6))*((-4 + w + 4)*(2 + 1 - 12) - 3*w - w + 2*w) + 4*w - 4*w + w**2. 35*w**2 Expand (2 + 3 - 4)*(-2 - y + 2)*(-604*y**4 - 1616*y**3 + 1616*y**3). 604*y**5 Expand 6*h - h + 4*h - 3 + 3 - 2*h - 3*h + 0*h + 4*h + h - 3*h + 3*h + 0 + 0 - 2*h + (1 + 3 - 2)*(0 + 0 + 2*h) + (h - 2*h + 0*h)*(2 + 3 - 4) + 2*h + 2 - 2. 12*h Expand (-3*h - 23*h + 112*h)*(2*h - h - 11*h)*(-4 + 1 - 1). 3440*h**2 Expand -2732443*m + 2086*m**5 + 2732443*m + (-2*m**2 + 3*m**2 + 0*m**2)*(2*m - 2*m - 2*m**3). 2084*m**5 Expand ((4 - 4 - 2*v)*(-1 + 3 - 3) + (4*v - 7*v + 2*v)*(0 - 4 + 2))*(-1363 + 1364 + 844*v**2 - 2846*v**2). -8008*v**3 + 4*v Expand (-2 + z**2 + 2)*(-3*z**2 - 744*z - 570*z + 4*z**2 + (-3*z + z + 0*z)*(4*z - z - z)) + (z**4 + 0*z**4 + 0*z**4)*(-1 + 5 - 2). -z**4 - 1314*z**3 Expand (-9*b + 271 - 271)*(-3*b + 7*b + 6*b)*(0 - 7 + 2*b - 4). -180*b**3 + 990*b**2 Expand (-10*b + 9*b - 10*b)*(378*b - 785*b - 625*b). 11352*b**2 Expand -21*n + 9*n**3 + 21*n + (84*n**2 + 29*n**2 - 16*n**2)*(0 - n + 0). -88*n**3 Expand (-9*p - 13*p + 6*p)*((3 - 4 - 1)*(1 + 2 - 5) + (-12 + 20 + 16)*(2 + 10 - 2) - 4 + 0 + 6). -3936*p Expand (-8*n - 8*n + 18*n)*(n**3 - 5*n**3 + 6*n**3)*(2 + 6 - 13). -20*n**4 Expand (-1997*c**2 - 2221*c**2 + c + 2*c - 3*c)*(-c**2 + 4*c**2 + 0*c**2). -12654*c**4 Expand (21 - 20 - f + 33)*(33 + 82 + 182). -297*f + 10098 Expand (-72*y - 73*y + 60*y)*(-8*y + 14*y + 19*y**2 - 6*y - 57*y**2). 3230*y**3 Expand -9*x**4 + 39 - 39 - 9*x**4 + 24*x**4 + 16*x**4 + (-x**3 - x**3 + 0*x**3)*(2 - 2 + x) + (3*x - x**4 - 3*x)*(-3 + 2 + 3). 18*x**4 Expand (129*l - 862*l + 18884*l + 0*l - l + 2*l + (-3 + 2 + 3)*(-2*l + 0*l + 3*l) + (1 - 2 - 1)*(0*l + 3*l - 2*l))*(0*l - l + 0*l). -18152*l**2 Expand -1762*i - 389*i**4 + 1762*i + (i**3 - i**3 - 2*i**3)*(3*i + 2*i - 3*i). -393*i**4 Expand (60*t - 347 + 347)*(4*t**2 - 3*t**2 + t**2)*(17*t + 22*t - 17*t). 2640*t**4 Expand (-2 - y**3 + 2)*(-y**2 - y**2 + 0*y**2) + 1281*y**5 + 1945*y**5 + 403*y**5. 3631*y**5 Expand (9 - 2 - 2 + (0 - 1 + 3)*(-3 + 4 - 4))*(79*z**3 - 1502*z**2 + 1502*z**2). -79*z**3 Expand -3 + 3 + 2*y - y + 6*y - 4*y + (y - 5*y + 3*y)*(-3 - 2 + 3) + (-2*y - y - 2*y)*(38 + 605 - 12). -3150*y Expand (5*s + 3*s - 7*s)*((2 + 0 - 3)*(5*s - s - 2*s) + 16*s - 34*s + 29*s) + 4*s**2 - 2*s**2 - 3*s**2. 8*s**2 Expand (3*o**4 - o**4 + 0*o**4)*(-67 - 765 - 159). -1982*o**4 Expand (j - 1 - 4*j + 9*j)*(-83*j + 1129 - 1129). -498*j**2 + 83*j Expand (0*w + 0*w + 2*w**2 + (1 - 2 - 1)*(2*w**2 - 2*w**2 - w**2) + 2*w**2 - 5*w**2 + 2*w**2)*(-3288*w + 1512*w - 877*w). -7959*w**3 Expand (-9954*l**3 + 3*l + 9961*l**3 + 5*l)*(0*l + l - 3*l)*(1 - 1 + 2) + 3 + 0 - l**3 + 2*l**4 - 2. -26*l**4 - l**3 - 32*l**2 + 1 Expand -28*g**2 - 9 + 25*g**2 + 8 + 7 - 78*g**2 + (-2 + 2 + 1)*(4*g**2 + 0*g**2 - 3*g**2). -80*g**2 + 6 Expand -7*x**5 + 3*x**5 + x**5 - 101*x**5 - 1247*x**2 + 114*x**5 - 12*x**5 - 2*x**5 + 0*x**4 + 0*x**4 + (-3*x - x + 2*x)*(x**4 - 3*x**4 + 4*x**4). -8*x**5 - 1247*x**2 Expand (j - 2 + 2 + (-3 - 2 + 4)*(-6*j + 5*j - 2*j) - 289*j - 165*j + 699*j)*(1 + 0 - 3 + 0). -498*j Expand (93*v - 323*v - 124*v)*(2*v - 6*v + 2*v)*(-3 - 2 + 2). -2124*v**2 Expand (-1 + 2 + 1 - 2 - 4 + 4 - 2 + 1 + 3 + (2 - 3 - 1)*(-4 - 2 + 5) - 1 + 0 + 0 + 2 + 1 - 5)*(-2 - 3 + 1)*(-249*b - 1264*b - 34*b). 6188*b Expand -2*p**3 + p**3 + 0*p**3 + (0*p**3 - p**3 - p**3)*(0 + 0 - 1) - 3*p**3 + 0*p**3 - 4*p**3 + (-21 + 61*p**2 + 21)*(-2*p - p + 2*p). -67*p**3 Expand (6 - 3 + 3 + 2*f)*(484 + 148 - 160 + 634). 2212*f + 6636 Expand 4*q**2 - 2*q**2 - q**2 + (7*q + 12*q - 3*q)*(q + 2*q - q) - 3 + 3 + q**2 + (-2*q - 10*q + q)*(q - 2 + 2) + 5*q**2 - 4*q**2 - 4*q**2. 20*q**2 Expand (-3 + 48 + 17)*(-11 + 3 - 1)*(0*o + o**3 + 0*o). -558*o**3 Expand (7 - 7 + 6*y)*(4 - 4 + 1)*(-4*y - 18*y + 0*y) - 5*y**2 + 0*y**2 + y**2. -136*y**2 Expand (-1 - 1 + 3)*(j**2 - j**2 + 2*j**2)*(2 - 3 - 8) + 3190*j - 186*j**2 - 3190*j + (-1 + 0 - 1)*(-j + j + j**2). -206*j**2 Expand (-600 - 546 + 35)*(-3*b**4 + 5*b**4 - b**4) - 2*b**4 + 15*b**3 - 4*b**3 - 8*b**3 + b. -1113*b**4 + 3*b**3 + b Expand (-n + 0*n + 0*n)*(4*n - 12*n + 5*n - 4 + (-2*n + 0*n +
{ "pile_set_name": "DM Mathematics" }
. Is v a composite number? True Let a be -1 - -2 - 6/(-6). Is -4 + 0 + -3 + a + 748 composite? False Let l(h) = -2*h**3 - 11*h**2 - 10*h - 14. Let n = 58 + -25. Suppose 5*r + 2 = -n. Is l(r) a prime number? False Let a(f) be the first derivative of 187*f**2/2 - 3*f + 13. Is a(2) a composite number? True Let l(k) = -2*k - 18. Let t be l(-16). Suppose -1256 = -t*q + 10*q. Is 3 - (-2 - 0 - q) prime? False Suppose 0 = 4*t - y - 20, 3*t - 5*y + 0*y + 2 = 0. Suppose -25 = t*w - 4543. Is w a prime number? False Suppose -1134 = 2*g - 3*q - 3406, q + 1137 = g. Is g a prime number? False Is 9712 + 9 + 0 + -2 a prime number? True Let g be 1 + 3 - 882/(-7). Let x = -129 - -76. Let q = x + g. Is q composite? True Let z be ((-1)/(-2))/((-15)/90). Is (45/(-18))/(z + (-442)/(-148)) composite? True Suppose y + 2228 = 2*y + r, 0 = 2*y - 5*r - 4456. Is (0 - y/4)*-1 a composite number? False Let m(u) = u + 19. Let a be m(-14). Suppose -a*z + 4234 = -1981. Let t = z - 876. Is t prime? True Let v = -20 + 23. Let b be (1/(-3))/(1/v). Is b/(1/202)*-1 composite? True Let i(t) be the second derivative of 3*t**4/4 - 5*t**3/3 - 21*t**2/2 + 21*t. Is i(-8) a prime number? False Let v be (-8)/(12/(-3)) + -139. Let k = 374 + -606. Let t = v - k. Is t a composite number? True Is 3/(3*(-6)/(-29778)) a composite number? True Let f = -2028 + 4655. Is f prime? False Let w = 31 + -28. Suppose 0 = w*y + s - 958, 5*y + 2*s + s = 1598. Is y a composite number? True Suppose -4*z + 241 + 642 = m, 0 = 5*z - 5. Is m prime? False Is 1/6 + 453690/108 a composite number? False Let p(r) = -28*r + 1. Let l be (-22)/132 + 130/(-12). Is p(l) a composite number? True Let j = 61772 - 43531. Suppose -3*o + j = 2092. Is o a prime number? False Suppose 2*l - 4 = 4*j + 38, 3*l - 27 = 2*j. Let v be (-1)/(28/j - -3). Is ((-1072)/24)/((-2)/v) a composite number? True Let u(w) = -152*w + 6. Let k be u(5). Let m = -515 - k. Is m a prime number? True Let m = -22391 + 31390. Is m prime? True Let r be 40357 - (64/(-30) - (-8)/60). Suppose -r = -4*y - 7*y. Is y a composite number? True Let g = -3 + 7. Let p(k) = -k**2 + 5*k - 1. Let r be p(g). Suppose 3*o - o + u - 221 = 0, r*o = 3*u + 336. Is o a composite number? True Let p = 7 + -3. Suppose -1 + p = h. Suppose 0 = h*z - 6*z + 573. Is z a composite number? False Suppose 4*g - 6*g + 3*h + 28889 = 0, 0 = 5*h + 25. Is g prime? True Suppose -2*z - 1158 = -66. Suppose 2*d - d + 2*a = -13, -a + 67 = -3*d. Is z/(-4)*(-14)/d a composite number? True Let y = 40644 + -12275. Is y composite? True Suppose 6*c - 7*c + 9 = g, 4*c + 34 = 3*g. Suppose 11*m = g*m + 37. Is m a composite number? False Let w = 3856 - 1554. Is w a prime number? False Let r(g) = 9*g**2 - 1. Let j = 21 - 14. Let h(a) = a - 9. Let u be h(j). Is r(u) a composite number? True Suppose 29*o + 1305 = 34*o. Suppose 0 = -k - o + 1072. Is k a prime number? True Let w be (6/4)/((-3)/2012). Let z = -539 - w. Is z composite? False Let r = 10068 + -4921. Is r composite? False Let f = -70979 + 140518. Is f a prime number? True Suppose 4 + 2 = 2*k. Suppose 0*y + 2*y = -k*c + 509, 5*c = -5*y + 850. Is c a prime number? False Let x be 100/60 - (-2)/6. Suppose 4*l + l + 3*z = 49, -4*l - x*z + 40 = 0. Is l a composite number? False Let c(b) = -22 + 152 - 2*b + 39. Let p be ((3 - 5) + 2)/1. Is c(p) prime? False Let w = 6 - 6. Suppose 4*r = -3*f + 9793, f - 3296 = -w*f + 5*r. Is f composite? False Let b = 21 - 2. Is b a composite number? False Let l(v) = v**3 - 4*v**2 - 2*v + 6. Let w be l(4). Let u be (0 - (w + -1)) + 0. Is (-443)/(0 - (-2 + u)) a composite number? False Is 4611 + -2 - 0/(-21) a composite number? True Let g = 21894 - 7933. Is g a prime number? False Suppose -7*y - 24482 = -2*z - 3*y, 3*z = -5*y + 36756. Is z prime? False Let p = 15 - 8. Suppose -2*v + p*v - 20 = 0. Suppose v*n - 620 = 2544. Is n a prime number? False Let x be (-14)/4*(-248)/(-4). Let w = x - -366. Is w a prime number? True Let b = 78 - 76. Suppose -3*l + 1532 = b*s + 3*s, -l = -2*s + 615. Is s composite? False Let v = -122 - -212. Let r be (335/10)/(3/(-12)*-2). Suppose -v - r = -d. Is d a prime number? True Let l(t) = 2670*t**2 + 1. Is l(-2) a composite number? True Let n = 13 + -11. Suppose 29 = n*u - 17. Is u prime? True Let j = -25038 + 36235. Is j prime? True Let b be -2 + (8 - (-1 + 5)). Is 1761/27 - b/9 a composite number? True Let o(g) = -2*g**2 + 9*g + 1. Let x be o(7). Let k be 5285/17 - 4/x. Suppose k = -4*w + 2899. Is w a composite number? False Is (-11)/(((-5)/15)/(1151/3)) a prime number? False Let r be 27639/108 - (15/36)/(-5). Suppose -5*a - 185 = 3*s + 356, s - 212 = 2*a. Let b = a + r. Is b a composite number? False Suppose 1179*x + 725780 = 1199*x. Is x a composite number? True Suppose 0 = 4*x - 2*f - 430, -3*f + 78 = -3*x + 405. Let y = 153 - x. Is y a composite number? False Is (-22 - -24)/((-27843)/(-9279) - 3) composite? True Let x(y) = -y + 0*y - 12 + 2*y. Let z be x(12). Suppose p = -z*p + 23. Is p a prime number? True Let i(v) = 233*v**2 - 45*v - 31. Is i(-10) prime? True Let y = -1291 + 2442. Is y a composite number? False Suppose 4*c = 8 + 4. Let k(z) = 3 - z + c*z + z - 2*z**3. Is k(-4) composite? True Let q = 4157 - -125122. Is q a prime number? False Let q(h) = 561*h**2 + 2*h - 7. Let v(g) = 1122*g**2 + 4*g - 15. Let p(t) = -13*q(t) + 6*v(t). Let l be p(1). Is (-2)/9 + l/(-18) a prime number? True Is ((-32)/(-16))/(4/29942) composite? True Is (4706569/42)/17*6 prime? True Let y be ((-3688)/(-10))/((-6)/(-645)). Is (-8)/12 + y/6 a composite number? False Suppose 0 = 5*g + 2*u - 2467, 0 = 2*g - 0*g - 3*u - 1002. Let v = g + -1250. Is (-3)/2 + v/(-10) a prime number? False Let n(o) = -o**3 - 17*o**2 + 11*o + 16. Let a = -42 + 23. Is n(a) composite? True Let t = -7152 + 11855. Is t a composite number? False Let w(s) = 62*s + 2. Suppose 0 = -0*g + 3*g - 27. Let p be w(g). Suppose 3*m - 1439 = -p. Is m composite? False Suppose -3*v = -4*g + 2176 - 247, -v + 484 = g. Suppose 0 = -7*f + 994 + g. Is f a composite number? False Let a be 1/(3/(-4 - -10)). Suppose a*b = -3*b + 395. Is b prime? True Let r(n) = -4*n - 2*n + 64*n**2 + n + 2 + 3. Let k = -8 + 10. Is r(k) a prime number? True Let z = -559 + 2198. Is z composite? True Let w = -714 + 1355. Is w prime? True Let f = -217 - -663. Suppose 8*u - f = 40602. Is u a composite number? True Suppose -a + 4115 = 3*x, -2*x = 2*a - 4598 - 3620. Is a composite? True Let v(r) = -4 + 0*r**3 - 2 + r**3 - r - 5*r. Let q = 9 - 4. Is v(q) prime? True Let y(c) = 172*c + 10. Suppose 2 = -0*g + 3*g - 4*i, g + 4*i = 22. Let p be y(g). Is p/3*(-6)/(-4) a composite number? False Let r(y) = -127*y**3 + y**2 - 8*y + 1. Let f(m) = m. Let x(h) = -6*f(h) - r(h). Let c be -1 - (-4)/(-6)*-3. Is x(c) a prime number? True Let d(s) be the first derivative of 65*s**2/2 - 11*s + 7. Is d(12) composite? False Let v(s) = 5*s**3 + 24*s - 2*s**3 - 2 - 20*s**2 - 4*s**3 + 2*s**3. Is v(20) composite? True Suppose 14*m + 2789 = 15*m. Is m prime? True Is (-3 - (3 + -5))/((-1)/53399) a prime number? False Let j(z) = z**3 + 3*z**2 - 3*z + 4. Let p be j(-4). Suppose 0 = 5*k + 4*a - 1970, -2*k - a + 866 - 75 = 0. Suppose -4*c + k + 414 = p. Is c prime? False Let d(k) = -6 + 1 + 5*k + 13*k**2 - 2 + 6. Is d(-8) prime? False Let t(v) = -2*v + 16. Let c be t(7). Let l be 1 + (-80)/(-3)*6. Suppose l = 3*p - c*p. Is p prime? False Let a(c) be the third derivative of c**5/20 + 7*c**4/12 - 2*c**3/3 - 2*c**2 + 8. Let j(p) = -p**2 - 6*p - 9. Let i be j(-6). Is a(i) prime? True Suppose 5*x - 11388 = -x. Is (x/(-6) + -2)*-3 prime? False Suppose -7*v + 5307 = -202. Is v a prime number? True Let y = 14 + -9. Suppose y*c = 5 + 5. Suppose 2*g - h = -2*h + 116, -c*h + 55 = g. Is g composite? False Let g = -1374 + 7273. Is g a prime number? False Suppose 3*s - 4793 = -3*l + s, -5*l - 5*s + 7980 = 0. Let h = l + -960. Is h a composite number? False Let o = 23 + -17. Suppose 3085 = 11*f - o*f. Suppose -c - 3*n + f = 76, 2*c = 5*n + 1082. Is c a prime number? True Suppose -5*o + 4*l = 9764, 3*l + 1296 = 5*o + 11059. Let q = o + 3299. Is q a composite number? True Is 2/(6 + ((-2192)/1097 - 4)) a prime number? True Suppose 0 = -5*s - 4*v + 454 - 6, -5*s + 4*v = -472. Suppose 5*r - 862 = -s. Suppose 3 = 3*a, t + 4*a = 3*t -
{ "pile_set_name": "DM Mathematics" }
148/35663 Calculate 1053517435 divided by 210703487. 5 Calculate -1057753 divided by -8. 1057753/8 -7244204 divided by -341 21244 Divide 2882091 by 19. 151689 What is 1130033 divided by -24? -1130033/24 Calculate -507249 divided by 43. -507249/43 115708290 divided by 323 358230 Calculate -3337 divided by -31. 3337/31 Divide -60431 by 330. -60431/330 Divide -1 by 1753500. -1/1753500 Divide -65784082 by -26. 2530157 Calculate -423704094 divided by 664113. -638 2847444 divided by -6 -474574 Divide -241 by -689893. 241/689893 -1679 divided by 4232 -73/184 What is 14073248 divided by 251308? 56 What is 2862468 divided by 333? 8596 Calculate 13904256 divided by -16. -869016 15838 divided by -8545 -15838/8545 Calculate -1083154405 divided by -4. 1083154405/4 33010860 divided by 5 6602172 Calculate 35134138 divided by -46597. -754 -26134425 divided by -1025 25497 What is 18370 divided by -18617? -18370/18617 Calculate 142 divided by 2842. 71/1421 What is 70147 divided by 10? 70147/10 84486814 divided by -2060654 -41 Calculate 5962050 divided by -1192410. -5 Divide -585 by -32186. 585/32186 Divide 240266 by 2. 120133 -3568 divided by 4624 -223/289 Calculate 21361155 divided by 1424077. 15 Calculate -374 divided by -311658. 187/155829 -116 divided by -2611632 29/652908 -412 divided by -94396 103/23599 -214266 divided by 255 -71422/85 What is 7677 divided by -2128? -7677/2128 Divide -417765217 by -21987643. 19 -146239207 divided by -4 146239207/4 5 divided by 57181438 5/57181438 -62674220 divided by 2513 -24940 -6115635 divided by -509 12015 Divide 13896444 by -6948222. -2 What is -238 divided by 2139723? -238/2139723 Divide -4711431 by 17. -277143 Divide -4268572 by -2134286. 2 Divide -2299310 by 230. -9997 Calculate 123900 divided by -79. -123900/79 -630765 divided by 14017 -45 Divide -4096068 by -1024017. 4 -16439694 divided by 25607 -642 What is 9342732 divided by -15889? -588 Calculate -18971552 divided by -3. 18971552/3 What is 1354068 divided by 18? 75226 6245424 divided by 549 11376 -31399 divided by -4508 31399/4508 What is 508390608 divided by 3? 169463536 Calculate 55514151 divided by 77. 720963 221490 divided by -51 -73830/17 -45151536 divided by 7525256 -6 Calculate -44 divided by 1767. -44/1767 Divide 1263908086 by 90279149. 14 Divide -182 by -21726. 91/10863 Calculate -75884604 divided by -925422. 82 Divide 295991 by 1111. 295991/1111 Calculate 2 divided by 168759687. 2/168759687 What is 208 divided by -144? -13/9 Divide 9298116 by -9. -1033124 Calculate -117619 divided by -3. 117619/3 Divide -3 by 29914835. -3/29914835 Divide -67200 by 600. -112 Divide -1739904 by -9456. 184 -14317632 divided by 1590848 -9 What is 36104100 divided by -32? -9026025/8 Divide 10259838 by -7. -10259838/7 What is 5 divided by 1610490? 1/322098 -481196 divided by -69 481196/69 Calculate 153863262 divided by 9. 17095918 Divide -18450792 by 488. -37809 Divide -13 by 29994650. -13/29994650 Divide 464 by 3420. 116/855 -18169856 divided by -16384 1109 Divide -8903 by -2079. 8903/2079 Divide -2208853 by -12. 2208853/12 Divide -116616616 by 2. -58308308 -2 divided by -564344 1/282172 What is -523460052 divided by 416436? -1257 Divide 341807 by 171. 341807/171 Divide 54 by -153549. -2/5687 What is 28139 divided by -30? -28139/30 Calculate 12628410 divided by -1230. -10267 Calculate -265912173 divided by 29545797. -9 Divide -13746777 by -5. 13746777/5 Divide 87152624 by -676. -128924 14178224 divided by 8 1772278 Divide -187159170 by 6. -31193195 What is -943650 divided by -810? 1165 What is 18831762 divided by 15654? 1203 Calculate 12448 divided by 570. 6224/285 43345308 divided by 2 21672654 -150269 divided by -13 150269/13 11753 divided by 3356 11753/3356 Divide -475155460 by 119236. -3985 Divide -4016 by -191. 4016/191 Divide -1 by -29166872. 1/29166872 Divide 2299025 by 18. 2299025/18 Calculate -7514224 divided by -3757112. 2 Calculate -140568 divided by 304. -17571/38 What is 2075093 divided by 2? 2075093/2 Divide 295746 by 49291. 6 Divide 30570688 by -4. -7642672 What is -5491 divided by -13208? 5491/13208 Divide -101407688 by 1. -101407688 Divide 5287008 by 440584. 12 What is 0 divided by -6207721? 0 What is 24057 divided by 121? 2187/11 What is 6832978 divided by 166658? 41 -18832 divided by -668 4708/167 -68 divided by 35030 -34/17515 -1 divided by 2874083 -1/2874083 Divide 5807 by 1965. 5807/1965 What is -1281353858 divided by 137234? -9337 142352980 divided by -14235298 -10 Calculate -390424536 divided by -48803067. 8 Calculate 93422 divided by -9. -93422/9 -9 divided by -813233 9/813233 What is -18275840 divided by 456896? -40 What is -19927 divided by 105? -19927/105 Calculate -3810067 divided by 5. -3810067/5 -878480970 divided by -6 146413495 17640448 divided by -13696 -1288 Calculate -3 divided by 3368215. -3/3368215 Divide -6954108 by 21. -331148 -6 divided by 6143316 -1/1023886 0 divided by 4297747 0 302885088 divided by -528 -573646 Divide 14374808 by -3593702. -4 What is -5972045 divided by 1194409? -5 What is -142626250 divided by -8710? 16375 Divide -10014 by 1620. -1669/270 Divide -45449320 by -428. 106190 Divide -11 by -2408994. 11/2408994 What is 550845960 divided by -1855? -296952 336 divided by 3187 336/3187 -46937149 divided by -46937149 1 Divide -82953189 by 2519. -32931 Divide -3530333408 by 4. -882583352 Divide 58 by 104666. 29/52333 Divide -532910664 by -2691468. 198 Calculate -3 divided by -80410505. 3/80410505 Calculate -4 divided by -4426404. 1/1106601 1443835275 divided by -5 -288767055 23611 divided by 151 23611/151 What is 3 divided by -3176692? -3/3176692 Calculate 2580898 divided by -133. -2580898/133 324 divided by -138447 -36/15383 Divide 3 by -9251455. -3/9251455 Divide 3330432 by 63. 52864 Calculate -533925 divided by -3955. 135 Divide -1734184585 by -205. 8459437 Divide 9470281 by 11. 9470281/11 Divide 32875035 by 9455. 3477 What is -8 divided by 4325600? -1/540700 2509570 divided by -250957 -10 What is 21555066 divided by 13? 1658082 Calculate -618 divided by -3899. 618/3899 What is -41132133 divided by -4? 41132133/4 Divide -39347510 by 1. -39347510 Divide 6999980 by 1749995. 4 -12728 divided by 452 -3182/113 -4332 divided by 929 -4332/929 What is 1443997455 divided by -5? -288799491 What is -3 divided by -11768423? 3/11768423 2 divided by -5295305 -2/5295305 -9 divided by 7429755 -3/2476585 6 divided by -1104005 -6/1104005 Divide 777200 by -26800. -29 What is 173259568 divided by -47287? -3664 -386 divided by -53393 386/53393 Calculate -380903780 divided by 1304465. -292 Calculate -3 divided by 2877950. -3/2877950 108870131 divided by -2 -108870131/2 Divide -10 by 160969. -10/160969 Divide 4 by 9658973. 4/9658973 -5013 divided by 544 -5013/544 What is 2304741 divided by -6? -768247/2 What is -2625 divided by 7219? -2625/7219 -39802183 divided by 2 -39802183/2 Calculate 917 divided by 29668. 917/29668 Calculate -11 divided by -976706. 11/976706 Calculate 20724130 divided by -3. -20724130/3 Calculate 521935 divided by -13. -521935/13 Divide -5157685 by -9. 5157685/9 -23 divided by -12922 23/12922 Calculate -77525 divided by -9. 77525/9 -25984420 divided by 72380 -359 Divide -2384 by -1858. 1192/929 Calculate -11668870 divided by 5. -2333774 Divide 6725888115 by 5. 1345177623 What is 45746939 divided by 7? 6535277 Divide 4 by 1837945. 4/1837945 Calculate 9498300 divided by 633220. 15 What is -7222586 divided by 3611293? -2 Divide -55604980 by 5560498. -10 What is -8207 divided by -3709? 8207/3709 -9517004 divided by -1514 6286 Divide 31577931 by -136701. -231 Calculate -773341374 divided by -2. 386670687 Calculate 71676820 divided by 10. 7167682 What is 1608 divided by -86288? -201/10786 What is -184500270 divided by -3? 61500090 Divide -247673 by -231. 247673/231 Calculate 658090 divided by -96. -329045/48 17785866 divided by -1533 -11602 Divide 35774187 by 1. 35774187 236989392 divided by -39498232 -6 Calculate -1673544 divided by 677. -2472 Calculate -37341656 divided by -848674. 44 Calculate 1997289 divided by -31703. -63 83997208 divided by 8 10499651 Calculate -17964532 divided by -4491133. 4 -86455581 divided by -829 104289 What is -89735656 divided by 34? -2639284 What is -90 divided by 2081111? -90/2081111 6022
{ "pile_set_name": "DM Mathematics" }
1 Let x = 0 + 2. Suppose 5*f = 10*f + 20. Let h be (f + 1 + 1)*-5. Solve -2*o + h = 4*b, 1 = -x*o + b - 9 for o. -3 Suppose 26 - 71 = 5*t. Let p = t - -11. Solve p*s + 2 = -x + 4*x, 3*s - 5*x + 4 = 0 for s. 2 Let a be ((-21)/(-4))/(-21) - 178/(-8). Suppose 0*f + 4 = f. Solve a = g + 2*p + 3*p, f*g = 5*p - 12 for g. 2 Let t(c) = 16*c**2 - c**3 - 9 - 15 + 18*c + 9. Let v be t(17). Solve -v*j + 3*h = -23, -3*j - 8 = -0*j + 4*h for j. 4 Suppose -9*d + 145 = -53. Solve 3*y = q + 4*q + 22, 5*y = q + d for y. 4 Let q(h) = 10*h - 2. Let a be q(1). Suppose -c - 3*l - a = -6*c, 0 = 2*c - 2*l. Solve -3*k - k + 24 = -c*x, -4*k = 2*x for x. -4 Suppose 3*j + 4*f + 8 = 0, -5*j - 2*f = -4*j + 6. Suppose 5*z + 4 - 44 = 0. Let p = -5 + z. Solve -j*o = -p*w + 12 + 8, 4*o + 20 = -3*w for o. -5 Suppose 9 = 3*g - 8*v + 10*v, -g + 3 = 5*v. Solve -3*y = -2*y - g*k + 13, k = 4*y + 8 for y. -1 Let l = -676 - -678. Let b = 8 - 3. Solve 2*y + b = -2*k + 1, -2*k = -l*y for y. -1 Let d = 49 - 25. Suppose -3*t = t - d. Let v = 10 - t. Solve -5 = 5*r - v*a, a + 5 = -4*r + 4*a for r. -5 Let y(c) be the first derivative of c**3/3 + 7*c**2 - 15*c + 7. Let v be y(-15). Solve 2*x = -n + 2*n + 2, v = x - 3*n + 9 for x. 3 Let f = 20 - 17. Solve 0 = 4*i + 2*j + 2, i + f = 4*j - 2*j for i. -1 Suppose -5 + 41 = 2*v. Let t = -12 + v. Suppose 7*r = t*r + 4. Solve -2*w = -r*d - 14, -5*w + 0*w = -d - 17 for d. -2 Suppose -2*g + 360 = -10*g. Let v = g + 47. Solve -5 = -p + 3*z, 4*z + 22 = -3*p - v for p. -4 Suppose -5*n + 39*b = 34*b - 105, 42 = 2*n - 5*b. Solve -2*d + 16 = -4*t, 2*t = 2*d - 3*t - n for d. -2 Suppose 9 = -3*m, 0 = 2*s + 3*m + 12 + 1. Let y be (-4)/6*(s - -5). Let r be (2 + y)*(-6)/(-24). Solve r*j = -5*j - 3*q - 25, 15 = -3*q for j. -2 Let g be (-1)/(-1 + (-30)/(-35)) + -4. Solve g*f + 2*f + 5*v = 30, -5*v = -10 for f. 4 Let n(k) = 2. Let z(q) = 1. Let l(s) = n(s) - z(s). Let i(j) = 5*j - 16. Let u(o) = i(o) - 5*l(o). Let g be u(5). Solve -4*h - 13 = -r, g*r - 23 = -r - h for r. 5 Let w(l) = l**3 + 8*l**2 + 4*l - 10. Let x be w(-5). Suppose 0 = -4*j + x + 7. Suppose -z = 1 - 5. Solve -h = z*y - 11, 5*y = -3*h - j + 32 for y. 2 Let j be 1*((-1)/2 - -2)*2. Solve -3*b + 4 - 28 = -j*i, -i = b for b. -4 Suppose 0 = l + 5*j + 23, -j = -9 + 14. Solve -t - q + l = -0, -3*q = 0 for t. 2 Suppose 3*p - 4*g - 9 = 0, -p - 16*g + 3 = -19*g. Solve -14 = -2*c + v, 7 = p*c + 12*v - 10*v for c. 5 Suppose 0 = -0*x - 5*x + 20. Let s(c) = -c - 10. Let n be s(-23). Suppose -3*b = 7 - n. Solve -x*g + 5*a = 7, 3 = -b*a + 1 for g. -3 Suppose -5*g + 5*p - 2*p + 20 = 0, -4*p = 3*g - 12. Solve 0*v - 13 = -k - 4*v, -11 = g*k - 5*v for k. 1 Let z be ((-16)/5)/((-2)/5). Suppose -2*o = 2*o - z. Solve -10 = o*u, -3*u + 12 = -2*f - 5*u for f. -1 Let n be (-546)/(-16) - 13/104. Suppose -16*h + 98 = n. Solve -2*j - 2*a - 6 = -20, 5*a - 33 = -h*j for j. 2 Let s(g) = g**3 + 33*g**2 + 33*g + 37. Let a be s(-32). Solve 13 = 5*i + 3*y, -a*i + 9 = -0*i - y for i. 2 Suppose -1 = -p - 4*v, -3*p + 2*v = 5 - 22. Suppose -4*m = -p*m + 2. Let k(c) = -c + 16. Let q be k(13). Solve q*d = 4*l - m - 13, -l = -2*d - 5 for d. -1 Let z = -50 - -34. Let a(j) = 2*j**2 + 30*j - 7. Let y be a(z). Solve -3*u + 15 = 4*t, 0*t - 3*t = 5*u - y for t. 0 Suppose 0 = 4*g - 5*g. Suppose 0 = -g*i + 6*i - 18. Solve -i*f + 17 = -o, -4*f - 2*o = 3*o + 9 for f. 4 Suppose -2*v + 11 = -3*a, 3*v = 2*v + 2*a + 4. Suppose -v - 2 = -3*k. Solve k*h = -5*m + 20, -3*h = -h for m. 4 Suppose j = 0, 3*i + 2*j + 2*j - 9 = 0. Let l(g) be the first derivative of -g**2/2 - 2*g - 8. Let c be l(-4). Solve -12 = -z + i*h, -c*z - 7 = 2*z - h for z. -3 Let r be -1 - -2*(-6)/(-4). Let p(f) = -2 + f**2 - 6*f + 3*f + 3*f**r + f. Let c be p(-1). Solve 2*n - 9 = -5*d, -n - c*n + 12 = 2*d for d. 1 Let g(t) be the first derivative of t**2/2 + 9*t - 7. Let m be g(-5). Solve -x + m*v - 4 = 4*x, 5*x + 2*v = -28 for x. -4 Suppose 0 = 3*y - 5*x + 19, 4*y - 3*x = -0*x - 7. Solve -4*j = y*h + 10, -4*j = -5*h - 0*h - 25 for j. 0 Suppose -10 = 2*p + 34. Let z be (3 - p/(-8))*8. Let h be (-3)/(3*(-2)/4). Solve 2*x + 3*u = -h, -z*x + 8 = -4*u + 2*u for x. 2 Let l be (-2)/4 - (-158)/4. Suppose 121 = 4*a - v, -5*v + 14 = l. Let n = 1918 + -1916. Solve -5 = -i - 5*o - a, 4*i + n*o = -24 for i. -4 Let m = 14 + -10. Let j(d) = -3*d - 11. Let w be j(-6). Solve 0 = -5*z + m*y + 12, -2*z + 1 = 2*y + w for z. 0 Let k = 14 + 8. Suppose 4*l + 14 = k. Solve l*i - s + 6 + 4 = 0, i + 3*s = 2 for i. -4 Let l = -397 - -401. Solve 3*t + 2*o - 7 = 7, -l*o = 4*t - 24 for t. 2 Let x = -64 + 59. Let b(m) = m**3 + 6*m**2 + 5*m + 2. Let d be b(x). Solve 0 = -d*j - 2*j - 2*l, -l = -4*j + 6 for j. 1 Let s be ((-48)/16)/((6/4)/(-1)). Solve s*t = y + 5, 2*t - 5*y = 6*t - 45 for t. 5 Let x be ((-20)/(-25))/(-1) - 40/(-50). Solve -3*y + 4*y + d - 1 = x, 0 = d - 3 for y. -2 Let m be -1*(-3)/(15/5). Let i be 8/(-1*(-4 + 3)). Let f = i - -2. Solve 5*a = 5*b + f, -1 = 3*b - 5*a + m for b. -4 Let u = -46 - -54. Let x be 0 + u/(-3 + 7). Solve 0 = -x*a - 2*n - 10, -2*a - 3*n - 1 - 13 = 0 for a. -1 Suppose 5*l - 45 = 5*y, l + 7 = 2*y - 5*y. Solve 0*h + l*h = -4*w - 31, -7 = w + h for w. -4 Suppose 2*b = -6*b + 2*b. Suppose b = -j + n + 27, -j = j + 2*n - 38. Solve 0 = -3*f + 4*l + j, 5*f = l + l + 15 for f. 1 Suppose 4*r + 11 = 5*q, 4*q - 2*r - 14 = -4*r. Solve -1 = j - 4*x, -q*x - 15 = 3*j + 3 for j. -5 Suppose -2*l = 6, -20 - 2 = -5*k - l. Suppose y - 12 = -k*y. Solve 2*c = -3*i + 3*c + 7, -3 = 5*i + y*c for i. 1 Let v(q) = -q**3 - 14*q**2 + 2*q + 31. Let n be v(-14). Solve -2*j + l = -l, 5*j + n*l - 32 = 0 for j. 4 Suppose 2*f = -2*i, 3*i - 8 = 8*f - 9*f. Solve 4*q = -3*y + 17, i*y + 9 = 4*q - 15 for q. 5 Let r = 782 - 778. Solve -5*s + 29 = -r*b, -b + 3*s = 9 + 7 for b. -1 Let w(n) = -9*n - 27. Let p be w(-3). Suppose 5*x - 2*x - 24 = -r, r - 3*x = p. Solve -3*l - r = -4*v + l, 0 = -5*v - l + 15 for v. 3 Let h be (-218)/327*6/(-1*2). Solve -h*c - a - 1 = 0, 2*c - a - 17 = 4*a for c. 1 Let y(n) = n**3 - 5*n**2 - 3*n + 9. Let t be y(4). Let h = t - -24. Let m be (0/(25/h))/3. Solve -4*j + m*j - 16 = 3*l, -2*l = 8 for j. -1 Let o = 673 - 671. Solve -5*c + o*w = -22, 3 = 2*c - 4*w + 9*w for c. 4 Let k = -93 + 95. Let m be (-4)/2 + 8 - (k - -2). Solve 0 = 5*b - m*u + 8, 5*b = u + 2*u - 7 for b. -2 Suppose -5*q + 20 + 0 = 0. Solve -3*d = -a + 16, -q*d = -a - a + 24 for a. 4 Suppose -4 = z - 9. Suppose 3*i + 5*f - 26 + 1 = 0, z*i - 4*f - 17 = 0. Solve 3*h - 8*h - 13 = o, -i*h = 4*o + 7 for h. -3 Let u(l) = l**3 - 9*l**2 + 25*l - 72. Let a be u(7). Solve 4*i - 9*i = a*q - 25, 0 = 4*i - 2*q - 2 for i. 2 Let p = -6 - -9. Let u(y) = -7 + 9 + 3*y - y**2 + 0*y**2 + 0. Let b be u(3). Solve -5*x - 2*m + 1 = 0, -p*x + b*m + 5 = m for x. 1 Suppose 0 = 26*l + 21*l - 44*l. Let j(n) = 13*n**2 + 1. Let i be j(1). Solve -4*v = -2*k + i, l*k + k - 22 = 5*v for v. -5 Let t(v) = v**3 - 4*v**2 - 4*v - 3. Let l be t(5). Let o(p) = -p**2 + 0 + l + 2 + 7 + 10*p. Let w be o(9). Solve -2*c + 12 = -a + 2, -5*c = -w for a. -2 Let u be (51/(-6))/(1/(-8)). Suppose -3*d + p + 39 = -2*p, 4*p + u = 5*d. Solve 5*q = k - d, 4*q + 5*k = 2*q - 28 for q. -4 Suppose 0 = -3*v + 4*i + 16, 4*v - 27 = 2*i - 9. Solve y - v*s = -7, -5*y - s + 3 = -2*s for y. 1 Let c(t) = t**3 - 5*t**2 + 12*t - 21. Let i be c(4). Solve -3*g + s = -8, -g - 5*s - 3 + i = 0 for g. 3 Let h(f) be the third derivative of -5*f**4/12 - 5*f**3/6 + 16*f**2. Let c be h(-1). Solve 5*b = c*g, 0*b - g = -4*b + 6 for b. 2 Suppose -5*s - w + 7 = 0, 5*w + 0*w + 5 = -5*s. Let u = -26 - -47. Let o = u + -18. Solve o*v + s*l - 4 = -0, 5*l - 5 = -5*v for v. 2 Let i(f) = 2*f + 1. Let s be i(3). Suppose 2*l - 3 = -5*q + s, -3*l - 3*q = -6. Solve 2*g - 3*u - 8 = l, 3*u + 2*u = 5*g - 15 for g. 1 Let a be 174/(-4)*2/(-3). Suppose -32*s = -a*s - 81. Solve -4*c = -0*r + r + 3, -c = -5*r + s for c. -2 Let w = 32 + -30. Suppose -4*x = w*x - 2*x. Solve -2*v + k + 4 - 1 = x, -4*k - 12 = 0 for v. 0 Let t(r) = r**2 - 16*r - 54. Let j be t(19). Solve -7*u + 3*u + 12 = 5*d, j*d + 3 = u for u. 3 Suppose -9*s = 88*s - 2037. Solve -3*g = -3*r + s, 2*r - 4 = -7*g + 4*g for r. 5 Suppose 3*h - 9 = -3*f, 5*f - 11 = -42*h + 41*h. Solve f*x - x - 2*w = 0, -x - 5*w = -7 for x. 2 Let y be (2 - (-30)/(-5)) + 4. Suppose y =
{ "pile_set_name": "DM Mathematics" }
at is b(v(x))? -25*x**2 Let x(y) = -70*y + 70*y + 3*y**2. Let q(o) = -3*o. Calculate x(q(r)). 27*r**2 Let s(c) = 6*c**2 + 25*c. Let y(u) = -4*u. Calculate y(s(i)). -24*i**2 - 100*i Let b(q) = -6*q**2. Let f(i) = -i - 3*i + 2*i. Determine b(f(o)). -24*o**2 Let k(j) = -14*j - 1. Let i(p) = p + 1. Let r(c) = i(c) + k(c). Let h(o) = -2*o**2. Determine r(h(x)). 26*x**2 Let z(x) = -x + 63. Let v(g) = -2*g**2. What is z(v(c))? 2*c**2 + 63 Let m(u) = -233*u. Let a(g) = -g**2. Calculate m(a(n)). 233*n**2 Let x(c) = -2*c. Let f(n) = 8*n**2 - n**2 - 2*n**2 - n**2. Give x(f(a)). -8*a**2 Let c(f) = 4*f**2. Let u(x) be the second derivative of x**3/3 + x. Give u(c(j)). 8*j**2 Let g(n) = 2*n**2. Let m be (-3)/((-1)/(-2) + -2). Let u(k) be the third derivative of k**m + 0*k + 1/8*k**4 + 0 + 0*k**3. What is g(u(a))? 18*a**2 Let q(k) be the second derivative of 5*k**3/3 - 11*k. Let r(z) = z. Give q(r(d)). 10*d Let k(u) = -2*u. Let x be 1 + (-6)/(12/(-4)). Let b(d) be the third derivative of -1/24*d**4 + 0*d + 2*d**2 + 0 + 0*d**x. Determine b(k(i)). 2*i Let g(q) = 2*q**2. Let v(a) be the second derivative of -a**5/120 - a**3/3 - a. Let p(j) be the second derivative of v(j). Determine p(g(y)). -2*y**2 Suppose 0 = 6*l - 2*l - 20. Let r(g) = -7*g + 5. Let w(x) = 22*x - 16. Let d(t) = l*w(t) + 16*r(t). Let f(c) = -3*c**2. Give f(d(h)). -12*h**2 Let h(i) = -732*i**2. Let y(j) = 3*j. What is h(y(x))? -6588*x**2 Let j(t) = -53*t - 6. Let d(k) = -8*k. Give d(j(i)). 424*i + 48 Let x(h) = -2*h**2 - 3*h**2 + 6*h**2. Suppose 0 = 4*v + 5*r + 17, v - 5*r = -10*r - 23. Let f(k) = -4*k**2 - k**v + 4*k**2. Determine x(f(d)). d**4 Let i be (2/2)/((-4)/(-12)). Let s(b) = -b**2 + i*b**2 - 4*b**2. Let z(h) = -2*h**2. Determine s(z(r)). -8*r**4 Let g(x) = 4004*x**2. Let m(f) = -f. Determine g(m(b)). 4004*b**2 Let w(s) = 11*s. Let x(f) = -7*f. Calculate x(w(g)). -77*g Let o(g) = -g. Let d(z) = -5*z**2 + 8*z - 8. Suppose 0 = -0*a - a - 8. Let w(r) = -3*r**2 + 5*r - 5. Let l(s) = a*w(s) + 5*d(s). Determine o(l(y)). y**2 Let r(i) = -4*i**2 + 5*i. Let x(g) = 10*g**2 - 12*g. Let t(v) = 12*r(v) + 5*x(v). Let j(y) = 4 - 1 + 3*y**2 - 3. Determine j(t(p)). 12*p**4 Let z(j) = 1. Let k(p) = p + 3. Let l = -2 - -3. Let i(h) = l*k(h) - 3*z(h). Let w(q) be the first derivative of -q**2 - 1. Give i(w(n)). -2*n Let v(h) = -h + 5*h - 7*h. Suppose 2*z + q = 3*z + 3, 2*q - 6 = -5*z. Let a(x) = -4*x + 3*x**2 + 4*x + z*x. Determine a(v(k)). 27*k**2 Let v(c) be the second derivative of 0 - 4*c + 0*c**2 - 1/3*c**3. Let u(y) = -5*y. Calculate u(v(t)). 10*t Let g(w) = -4*w. Let p(y) = y**2 - y + 1. Let a(q) = q - 1. Let r(l) = -3*a(l) - 3*p(l). Give g(r(c)). 12*c**2 Let k(b) = b. Let l(v) = -6*v**2 + 3*v + 3. Let s(f) = -f**2 + f + 1. Let p(h) = l(h) - 3*s(h). Calculate p(k(o)). -3*o**2 Let h(j) = 2*j**2. Let l(z) be the first derivative of 3 + 0*z + 5/2*z**2. Calculate l(h(v)). 10*v**2 Let a(j) = j. Let b(s) = -201*s**2. Give b(a(v)). -201*v**2 Let a(v) = 22*v. Let z(k) = 2*k. Calculate z(a(o)). 44*o Let n(p) be the second derivative of p**3/6 - 64*p. Let b(y) = y**2 - 19. Calculate n(b(s)). s**2 - 19 Let n = 9 + -6. Let t = 7 - n. Let w(q) = q + 4. Let k(j) = -6*j - 21. Let a(d) = t*k(d) + 21*w(d). Let r(l) = l. Give a(r(c)). -3*c Let l(x) be the third derivative of 3*x**5/20 - 17*x**2. Let w(u) = 2*u. What is l(w(v))? 36*v**2 Let q(z) = 5*z. Let t(s) = -s**3 - 7*s**2 - 7*s + 2. Let o be t(-6). Let m(y) = o + y**2 - 8. Calculate m(q(w)). 25*w**2 Let z(r) = -r + 1. Let o(n) = -n**2 - 5*n + 5. Let b(m) = o(m) - 5*z(m). Let g(d) = 5*d. What is g(b(f))? -5*f**2 Let w(s) = -23*s**2 - 2*s - 8. Let g(c) = c**2 + c + 2. Let o(b) = 4*g(b) + w(b). Let k(v) = -3*v. Calculate k(o(u)). 57*u**2 - 6*u Let x(v) = -7*v. Let s(b) = 4*b**2. Calculate s(x(j)). 196*j**2 Let d(v) = -23*v + 2. Let f(m) be the third derivative of -m**4/12 + 24*m**2. Determine d(f(y)). 46*y + 2 Let z(j) = -25*j - 45. Let u(i) = i. Determine z(u(w)). -25*w - 45 Let m(d) be the second derivative of -d**3/3 + 2*d. Let j(k) = -6*k**2. Calculate j(m(u)). -24*u**2 Let v(d) = -65*d. Let f(b) = -b + b - b + 0. Calculate v(f(r)). 65*r Let y(n) = n**2. Let j(u) = -60*u - 46. What is j(y(z))? -60*z**2 - 46 Let g(c) = -c**2. Let n be (-892)/(-52) + (-2)/13. Let x(u) = -2*u + 4*u - 17 + n. Calculate x(g(l)). -2*l**2 Let a(z) = -51*z + 89*z - 37*z. Let u(t) be the first derivative of -5*t**2/2 - 1. Determine a(u(c)). -5*c Let y = 56 + -35. Let u(g) = 21*g - g**2 - y*g. Let a(l) = -5*l - 2 + 2. Determine a(u(p)). 5*p**2 Let r(z) = -5*z + 3*z + 2*z - 2*z. Let l(v) = 2*v. What is r(l(c))? -4*c Let t(g) = 2*g. Let d(h) be the second derivative of h**6/360 - h**4/4 - 9*h. Let v(s) be the third derivative of d(s). What is t(v(z))? 4*z Let g(s) = -2*s**2. Let p(z) = 6*z**2. Let y(u) = -u**2. Let d(j) = -p(j) - 3*y(j). What is g(d(a))? -18*a**4 Let i(j) = 0*j**2 - 4*j**2 + 4*j**2 - j**2. Let h(u) be the first derivative of -u**3 - 3. Give i(h(w)). -9*w**4 Let i(r) = -7*r. Let l(h) = -3*h**2 + 346 - 346. Determine l(i(o)). -147*o**2 Let t(k) = -k. Let w(c) = -10*c**2. Determine t(w(q)). 10*q**2 Let o(j) = 10*j. Let d(p) = -15*p. Let f(m) = -5*d(m) - 8*o(m). Let n(b) = b - 2*b - b. Let u(a) = 3*a. Let i(y) = 7*n(y) + 5*u(y). Give f(i(r)). -5*r Let o(r) be the first derivative of -r**2/2 - 42. Let j(h) = 11*h**2. Determine o(j(z)). -11*z**2 Let q(d) = -6*d. Let x(s) be the second derivative of s**6/360 - s**3/2 + s. Let p(w) be the second derivative of x(w). Determine p(q(a)). 36*a**2 Let l(q) = -10*q - 9. Let y(u) = -8 + 10 - u - 3. Let h(x) = 2*l(x) - 18*y(x). Let k(z) = -3*z. Calculate h(k(g)). 6*g Let w(o) = o. Let u(a) = 16034 + 63*a - 16034. Calculate w(u(h)). 63*h Let v(w) = 3*w**2 + 5. Let t(j) = -j**2 - 2. Let c(x) = -5*t(x) - 2*v(x). Let h(m) be the first derivative of -2 - 4/3*m**3 + 0*m**2 + 0*m. What is h(c(g))? -4*g**4 Let y(r) = -r. Let b(t) = -62*t + 2. What is y(b(w))? 62*w - 2 Let j(g) = -4*g. Let v(m) = 394*m. Calculate v(j(b)). -1576*b Let k(f) = -f + 2. Let q(d) = 2*d**2. Determine q(k(s)). 2*s**2 - 8*s + 8 Let c(w) = 2*w - 6. Let h be c(4). Let k(u) = -h*u**2 + 3*u**2 + 3*u**2. Let n(y) = 5*y**2 - 4*y**2 - 2*y**2 + 0*y**2. Calculate k(n(v)). 4*v**4 Let n(s) = 3*s. Let x(i) = i. Give n(x(u)). 3*u Let u(i) = i. Let p(y) = 228 - 228 - 4*y - 4*y. Give p(u(t)). -8*t Let j(w) = -315*w. Let y(f) = -10*f. What is j(y(g))? 3150*g Let s(a) = -a**2. Let t(b) = -3*b. Let c(q) = -6*q. Let d(k) = -4*c(k) + 9*t(k). What is d(s(l))? 3*l**2 Let n(w) be the second derivative of w**3/6 - 35*w**2/2 - w. Let m(h) = -h**2. Calculate n(m(z)). -z**2 - 35 Let x(w) = w. Let o(d) be the third derivative of 0*d**4 + 1/10*d**5 + 0*d**3 + 0 + 0*d + 4*d**2. Calculate o(x(q)). 6*q**2 Let z(o) = -2*o. Let u be (6/9)/(4/(-18)). Let i = 9 + u. Let m(y) = -4*y + 2*y + i*y. Determine m(z(c)). -8*c Let i(r) = -10*r. Let b(o) be the first derivative of o**3/3 + 8. Determine i(b(h)). -10*h**2 Let q(a) = -1 + a**2 + 1. Let t(r) = -3*r. Let j(l) = -l**2 - 5*l + 6. Let g be j(-5). Let s(p) = -3*p. Let k(c) = g*t(c) - 7*s(c). Determine q(k(y)). 9*y**2 Let b(l) = 2*l**2. Let q(j) be the first derivative of -j**3/2 - 2*j - 4. Let r(k) be the first derivative of q(k). What is r(b(i))? -6*i**2 Let l(p) = -p**2. Let x(z) = 2*z**2. Determine l(x(c)). -4*c**4 Let k(j) = 8*j**2. Let h(m) = 9*m - 13. Let n(d) = -2*d + 3. Let g(w) = -6*h(w) - 26*n(w). What is k(g(r))? 32*r**2 Let w(l) be the second derivative of l**4/12 - 39*l. Let v(d) = -20*d**2. Determine v(w(t)). -20*t**4 Let l(w) = 23*w**2 - 35. Let n(b) = 3*b**2. Give l(n(v)). 207*v**4 - 35 Let f(t) = -2*t**2. Suppose -3*r + 2*r + 5*i - 19 = 0, r + 10 = 2*i. Let o = r - -4. Let n(h) = o + 0 - 2*h. Calculate f(n(x)). -8*x**2 Let g(n) = 7*n**2. Let m(k) = 6 - 4*k + 9 + 5*k - 4. Let h be m(-9). Let y(p) = -2*p + h - 2. Give g(y(j)). 28*j**2 Let i(u) be the third derivative of -u**7/2520 - u**5/30 - 3*u**2. Let z(w) be the third derivative of i(w). Let v(m) = 2*m. Calculate z(v(b)). -4*b Let z(m) = 39*m**2 + 2. Let w(s) = 4*s. Calculate z(w(v)). 624*v**2 + 2 Let y(c) = 2*c**2. Suppose 4*k - 3*k = 0. Let b be (-3)/(-9)*(k + 6). Let v(x) = -4*x**2 + 0*x**2 + x**b. What is v(y(o))? -12*o**4 Let b(u) = -35*u**2. Let g(t) = 8*t**2. What is b(g(i))? -22
{ "pile_set_name": "DM Mathematics" }
4*p = 20. Let w = 9 - -2. What is the third derivative of -48*z**5 + 45*z**5 - 3*z**2 + w*z**c wrt z? -180*z**2 Find the third derivative of 1744758*q + 10*q**3 - 2 - 66*q**2 - 1744775*q + 14*q**4 + 13*q**4 wrt q. 648*q + 60 Suppose 4*i + 11*y = 8*y + 339, 0 = -2*i + 4*y + 164. What is the third derivative of 21 - 5*h**2 - 18*h**3 + 4*h**2 + 12 + i*h**3 wrt h? 396 Let k be (-32)/(-36) - (-754)/468. Let q(l) be the first derivative of -8 - k*l**2 + 0*l - 3/2*l**4 + 0*l**3. Find the second derivative of q(w) wrt w. -36*w Let y(v) = v - 4. Let c be y(6). Let u(t) = t**2 + 8*t - 29. Let m be u(-11). Find the third derivative of -4*h**3 - m*h**3 - 2*h**3 + 7*h**c wrt h. -60 Let o = 254 + -252. Find the third derivative of v**3 - 2*v**5 - 13*v**5 + 74*v**o + 39*v**2 - 37*v**2 wrt v. -900*v**2 + 6 Let u(h) be the second derivative of 0*h**2 + 0*h**3 + 73/12*h**4 - 21/20*h**5 + 42*h + 0. Find the third derivative of u(y) wrt y. -126 Let t = 42 - 74. Let x = 35 + t. What is the third derivative of 0*g - 26*g**2 - 6*g**3 + 30*g**x + 0*g wrt g? 144 Let p(l) = 104*l - 99. Let y(i) = 12 + i + 90 - 58*i - 45*i. Let k(u) = 3*p(u) + 4*y(u). Differentiate k(q) wrt q. -96 Suppose 60*g - 3013 = -433. What is the derivative of -57 - 183 + 26 + 69*u + 53*u + g*u wrt u? 165 Let k(y) be the first derivative of -8049*y**4/4 - 1649*y**3 + 9665. Find the third derivative of k(h) wrt h. -48294 Let g(i) be the second derivative of 45*i + 43/2*i**2 + 0 + 35/6*i**3 - 1/6*i**4. Find the first derivative of g(y) wrt y. -4*y + 35 Let g(i) be the first derivative of 8*i**6/3 + 5*i**4/2 - 1213*i**3/3 - 1066. What is the third derivative of g(c) wrt c? 960*c**2 + 60 Let t(w) = 4*w**3 + w**2 - w + 1. Let i be t(1). Find the third derivative of -2*c**5 - 2*c**3 - 5*c**2 + 18*c**i + c**5 - 21*c**2 wrt c. 1020*c**2 - 12 Let l(j) be the first derivative of 618*j - 1149*j - 17*j**2 + 61 + 128 + 603*j. What is the derivative of l(p) wrt p? -34 Let h(p) = 4*p + 111. Let i be h(-10). Find the second derivative of i*f**5 - 77 + f + 75 + 5*f wrt f. 1420*f**3 Let c(d) be the third derivative of -86*d**5/15 - d**4/12 - 417*d**3/2 + 237*d**2. Differentiate c(i) with respect to i. -688*i - 2 Suppose -6*w = -2*w + 32. Let f(n) = n**3 + 10*n**2 + 7*n. Let i be f(w). Differentiate 34 - i + 32 + 7*o wrt o. 7 Let x(a) be the first derivative of 0*a - 175 + 19/4*a**4 - 6/5*a**5 + 77*a**3 + 0*a**2. What is the third derivative of x(u) wrt u? -144*u + 114 Let f(m) = 6*m**2 + m + 518. Let p be f(0). Differentiate -89*a**2 - p*a**4 + 42*a**2 + 517*a**4 - 3 with respect to a. -4*a**3 - 94*a Let t(r) = -2*r**2 - 7*r + 7. Let l be t(-4). Differentiate 35 + m**2 + l - 17*m + 56 with respect to m. 2*m - 17 Let l be (0 + 1)*-1*(4 + -6). What is the third derivative of 112*o**2 + 2*o**5 + 0 + 0 + 2*o**4 - 110*o**l + 76*o wrt o? 120*o**2 + 48*o Let s(u) = 5*u**2 - 4*u - 1. Let n(m) = 9*m**3 - 25*m**2 + 17*m + 7452. Let c(f) = n(f) + 6*s(f). What is the first derivative of c(h) wrt h? 27*h**2 + 10*h - 7 What is the third derivative of 3 - 359*n**3 + 9 - 33*n**2 + 25*n - 56*n + 31*n wrt n? -2154 Suppose 4*f = -2*f + f. Suppose 2*v - 5*v - 5 = d, -5*d - v + 17 = f. What is the derivative of -7*c**4 - 12 - 13*c**d - 1 wrt c? -80*c**3 Let h(a) be the second derivative of -56*a - 1/6*a**3 + 2 + 0*a**4 + 0*a**5 + 0*a**6 + 31*a**2 - 46/21*a**7. Find the second derivative of h(f) wrt f. -1840*f**3 Let p(h) = 4*h**3 - 5*h**2 + 9*h - 25. Let m be p(4). Find the third derivative of -139*y**3 - 139*y**3 + m*y**5 - 119*y**2 + 278*y**3 wrt y. 11220*y**2 Let k(z) be the first derivative of 431*z**6/3 - 2*z**5/5 + 21*z**2 + 17*z + 2023. Find the second derivative of k(i) wrt i. 17240*i**3 - 24*i**2 Let f(x) be the second derivative of 11/12*x**4 - x - 3 + 35/2*x**2 - 1/2*x**3. What is the derivative of f(v) wrt v? 22*v - 3 Let k(b) be the third derivative of b**6/24 - 73*b**5/15 + b**4/6 + 337*b**3/6 + 19*b**2 + 18*b. Find the second derivative of k(l) wrt l. 30*l - 584 Suppose 5*r = 2*t + 94, 3*r - 2*t - 34 = 20. Differentiate 0*c - 3*c + r*c - 74 - 15*c**2 - 21*c wrt c. -30*c - 4 Let a(d) = 2291*d**2 + 157*d - 1. Let k(b) = 2288*b**2 + 158*b - 2. Let t(y) = -5*a(y) + 6*k(y). Find the second derivative of t(v) wrt v. 4546 Let l be -7 + 10 + -1 + 3 + -5. Let p(n) be the first derivative of l*n**4 - 21 + 0*n**3 - 13/2*n**2 + 0*n - 1/5*n**5. Find the second derivative of p(z) wrt z. -12*z**2 Let p = -690 + 690. Let z(x) be the second derivative of 0*x**5 - 2/5*x**6 + 11/6*x**4 + 0*x**2 + 0*x**3 + p + 7*x. What is the third derivative of z(f) wrt f? -288*f Suppose 0 = -3*h - 32 + 8. Let f be 2/((12/h)/(0 - 3)). What is the second derivative of -101*c + 24*c**4 + 2*c**f + 117*c wrt c? 312*c**2 Let g(u) = 8859*u + 25413. Let r(n) = -13329*n - 38120. Let v(a) = -8*g(a) - 5*r(a). Find the first derivative of v(j) wrt j. -4227 Suppose 4*v - 154 = -3*v. Let o = v + -17. What is the third derivative of -6*t**2 - 12*t**5 + 2*t**5 + 16*t**2 + 8*t**o wrt t? -120*t**2 What is the third derivative of 9267*a**2 - 27237*a**5 + 54476*a**5 - 26762*a**5 wrt a? 28620*a**2 What is the first derivative of 171 + 118 - 41 + 210 - 27 - 771*z**2 wrt z? -1542*z What is the second derivative of -4534*p**2 + 10 + 109*p - 2 - 9 + 202*p - 163*p wrt p? -9068 Suppose 0 = -2*t - 3*k + 12, -2*t - k = -8 + 4. Suppose -5*n = -5*f + 30 - 250, t = n - 4*f - 44. What is the derivative of 11*u - 16 - 24 + n wrt u? 11 Let o(w) be the third derivative of w**8/56 - 27*w**5/20 + 32*w**4 + 2361*w**2. Find the second derivative of o(r) wrt r. 120*r**3 - 162 Let v(i) = 1742*i**2 + 2*i + 578. Let r(n) = 50*n**2. Let g(h) = -12*r(h) + v(h). What is the second derivative of g(k) wrt k? 2284 Find the second derivative of 1794*h**2 - 8044*h + 160 - 8046*h + 16100*h wrt h. 3588 Suppose 16*l - 108 = -49*l + 29*l. Let k(w) be the second derivative of 0*w**l + 5/4*w**4 + 7*w**2 - 11*w + 0. Differentiate k(x) with respect to x. 30*x Let r = 441 - 436. What is the second derivative of 37*m + 26*m + 106*m**r - 271*m**5 wrt m? -3300*m**3 Find the third derivative of -171*j**4 - 9*j**3 - 487 + 159 - 470 + 0*j**2 - 408 - j**2 wrt j. -4104*j - 54 Suppose -3*g = 3*v - 6*g - 21, 4*v + 4*g = 28. Let a(p) be the first derivative of -v*p + 0*p**2 - 33 + 17/3*p**3. What is the first derivative of a(t) wrt t? 34*t Let k(d) = -3*d + 14. Let y be k(4). What is the third derivative of -35 + 74*u**5 - u**y - 36 + 99 wrt u? 4440*u**2 What is the third derivative of -1028*b**3 + 500*b**2 - 886*b**3 - 1820*b**2 wrt b? -11484 Let w(u) be the second derivative of -71/3*u**3 + 0*u**5 - 6*u + 1/10*u**6 + 13/12*u**4 + 3 + 0*u**2. What is the second derivative of w(p) wrt p? 36*p**2 + 26 Let y = -452 - -456. Differentiate -101*k**4 + 2*k**2 + 20 - 66*k**y - k**2 with respect to k. -668*k**3 + 2*k Suppose 0 = 3*r + 4*u + u + 12, -u = 3. Let z be 16/r - (-4 - 0/(-3)). Find the third derivative of -13*d**2 + z*d**2 + 5*d - 5*d - 16*d**3 wrt d. -96 Let c(m) be the third derivative of 0 + 0*m - 25/12*m**5 + 0*m**3 + 58*m**2 + 127/24*m**4. Find the second derivative of c(y) wrt y. -250 Let p = -26 + 19. Let i = p + 11. What is the second derivative of 2*y**2 - 8*y**2 + 30*y + 6*y**2 + 27*y**i wrt y? 324*y**2 What is the third derivative of -899065*r**3 + 899065*r**3 + 1 - 68*r**2 - 1904*r**6 wrt r? -228480*r**3 Let u = 12 - 4. Suppose 0*o = -2*o + u. Find the second derivative of -4 + o + 7*n + 16*n**5 - 33*n wrt n. 320*n**3 Differentiate 327 + 45*f + 178*f**2 - 175*f**2 + 550 - 9*f + 78 wrt f. 6*f + 36 Let o(g) be the second derivative of 98*g + 1/6*g**3 + 61/12*g**4 + 126*g**2 - 1. What is the second derivative of o(b) wrt b? 122 Let n(d) = 1432*d**3 + 99*d**2 - 11*d + 11. Let g(l) = -358*l**3 - 25*l**2 + 3*l - 3. Let p(b) = 11*g(b) + 3*n(b). What is the third derivative of p(s) wrt s? 2148 Let t(h) = -h**3 - 20*h**2 - 19*h + 2. Let b be t(-19). What is the third derivative of -16*l**b - 382*l**5 + 46*l**2 + 416*l**5 wrt l? 2040*l**2 Find the second derivative of 2*f**4 + 325*f**5 - 111 + 218 + 486*f - 107 + 168*f**5 wrt f. 9860*f**3 + 24*f**2 Let h(r) be the second derivative of -52/5*r**5 - 2*r + 30 + 55/3*r**4 + 0*r**2 + 1/6*r**3. Find the third derivative of h(n) wrt n. -1248 Suppose 22*g - 20*g = 8. Diffe
{ "pile_set_name": "DM Mathematics" }
divided by 4? 3 What is the remainder when 167 is divided by 3? 2 Calculate the remainder when 413 is divided by 52. 49 Calculate the remainder when 412 is divided by 220. 192 What is the remainder when 2507 is divided by 81? 77 What is the remainder when 254 is divided by 38? 26 Calculate the remainder when 507 is divided by 57. 51 What is the remainder when 716 is divided by 24? 20 What is the remainder when 86 is divided by 22? 20 Calculate the remainder when 1585 is divided by 13. 12 What is the remainder when 137 is divided by 20? 17 What is the remainder when 676 is divided by 37? 10 Calculate the remainder when 151 is divided by 23. 13 What is the remainder when 109 is divided by 43? 23 Calculate the remainder when 1747 is divided by 70. 67 What is the remainder when 359 is divided by 53? 41 What is the remainder when 138 is divided by 70? 68 What is the remainder when 261 is divided by 154? 107 Calculate the remainder when 2258 is divided by 1112. 34 Calculate the remainder when 321 is divided by 65. 61 Calculate the remainder when 359 is divided by 19. 17 Calculate the remainder when 535 is divided by 266. 3 Calculate the remainder when 13728 is divided by 31. 26 Calculate the remainder when 37 is divided by 33. 4 What is the remainder when 3041 is divided by 44? 5 What is the remainder when 301 is divided by 102? 97 Calculate the remainder when 633 is divided by 55. 28 What is the remainder when 13565 is divided by 57? 56 Calculate the remainder when 420 is divided by 130. 30 What is the remainder when 358 is divided by 36? 34 What is the remainder when 42 is divided by 12? 6 What is the remainder when 361 is divided by 18? 1 What is the remainder when 279 is divided by 116? 47 Calculate the remainder when 2380 is divided by 20. 0 What is the remainder when 1424 is divided by 14? 10 Calculate the remainder when 73 is divided by 14. 3 What is the remainder when 140 is divided by 54? 32 What is the remainder when 156 is divided by 29? 11 What is the remainder when 255 is divided by 5? 0 What is the remainder when 903 is divided by 181? 179 What is the remainder when 987 is divided by 139? 14 Calculate the remainder when 243 is divided by 101. 41 What is the remainder when 151 is divided by 81? 70 Calculate the remainder when 61 is divided by 17. 10 Calculate the remainder when 653 is divided by 109. 108 Calculate the remainder when 201 is divided by 29. 27 What is the remainder when 165 is divided by 29? 20 What is the remainder when 577 is divided by 117? 109 What is the remainder when 1545 is divided by 219? 12 Calculate the remainder when 2417 is divided by 32. 17 What is the remainder when 600 is divided by 121? 116 What is the remainder when 58 is divided by 23? 12 What is the remainder when 8403 is divided by 9? 6 What is the remainder when 10755 is divided by 20? 15 What is the remainder when 179 is divided by 89? 1 Calculate the remainder when 2335 is divided by 1152. 31 Calculate the remainder when 107 is divided by 12. 11 Calculate the remainder when 1996 is divided by 166. 4 Calculate the remainder when 118 is divided by 17. 16 Calculate the remainder when 3304 is divided by 19. 17 What is the remainder when 2720 is divided by 46? 6 What is the remainder when 552 is divided by 50? 2 What is the remainder when 13055 is divided by 192? 191 Calculate the remainder when 2289 is divided by 151. 24 What is the remainder when 346 is divided by 29? 27 Calculate the remainder when 369 is divided by 10. 9 What is the remainder when 10545 is divided by 137? 133 Calculate the remainder when 32 is divided by 28. 4 Calculate the remainder when 455 is divided by 51. 47 Calculate the remainder when 774 is divided by 252. 18 Calculate the remainder when 8279 is divided by 28. 19 Calculate the remainder when 263 is divided by 19. 16 Calculate the remainder when 1494 is divided by 23. 22 Calculate the remainder when 50 is divided by 39. 11 What is the remainder when 22411 is divided by 14? 11 Calculate the remainder when 417 is divided by 84. 81 Calculate the remainder when 28 is divided by 25. 3 What is the remainder when 43 is divided by 10? 3 What is the remainder when 11357 is divided by 247? 242 What is the remainder when 658 is divided by 240? 178 Calculate the remainder when 188 is divided by 31. 2 Calculate the remainder when 1407 is divided by 8. 7 Calculate the remainder when 41 is divided by 7. 6 Calculate the remainder when 513 is divided by 31. 17 What is the remainder when 586 is divided by 54? 46 What is the remainder when 634 is divided by 29? 25 What is the remainder when 188 is divided by 46? 4 What is the remainder when 836 is divided by 20? 16 Calculate the remainder when 616 is divided by 49. 28 Calculate the remainder when 297 is divided by 51. 42 What is the remainder when 1002 is divided by 17? 16 Calculate the remainder when 1022 is divided by 31. 30 Calculate the remainder when 538 is divided by 40. 18 What is the remainder when 1781 is divided by 81? 80 Calculate the remainder when 4985 is divided by 4. 1 Calculate the remainder when 323 is divided by 104. 11 What is the remainder when 88 is divided by 42? 4 Calculate the remainder when 45 is divided by 34. 11 Calculate the remainder when 12 is divided by 7. 5 What is the remainder when 45 is divided by 32? 13 Calculate the remainder when 428 is divided by 215. 213 Calculate the remainder when 280 is divided by 57. 52 What is the remainder when 722 is divided by 123? 107 What is the remainder when 29051 is divided by 36? 35 What is the remainder when 86 is divided by 12? 2 Calculate the remainder when 376 is divided by 15. 1 Calculate the remainder when 65 is divided by 33. 32 What is the remainder when 807 is divided by 369? 69 Calculate the remainder when 20710 is divided by 11. 8 Calculate the remainder when 247 is divided by 38. 19 What is the remainder when 75 is divided by 16? 11 Calculate the remainder when 2152 is divided by 126. 10 Calculate the remainder when 145 is divided by 42. 19 What is the remainder when 156 is divided by 146? 10 Calculate the remainder when 29 is divided by 23. 6 Calculate the remainder when 216 is divided by 91. 34 Calculate the remainder when 526 is divided by 17. 16 Calculate the remainder when 4298 is divided by 23. 20 What is the remainder when 48 is divided by 30? 18 What is the remainder when 33 is divided by 7? 5 What is the remainder when 1239 is divided by 32? 23 Calculate the remainder when 47 is divided by 34. 13 What is the remainder when 61 is divided by 38? 23 What is the remainder when 698 is divided by 100? 98 Calculate the remainder when 243 is divided by 217. 26 What is the remainder when 213 is divided by 73? 67 Calculate the remainder when 1657 is divided by 119. 110 What is the remainder when 201 is divided by 180? 21 What is the remainder when 112 is divided by 57? 55 What is the remainder when 3078 is divided by 143? 75 What is the remainder when 6388 is divided by 11? 8 Calculate the remainder when 98 is divided by 5. 3 What is the remainder when 58036 is divided by 127? 124 Calculate the remainder when 1603 is divided by 107. 105 Calculate the remainder when 1883 is divided by 65. 63 What is the remainder when 179 is divided by 179? 0 What is the remainder when 8913 is divided by 13? 8 What is the remainder when 3077 is divided by 154? 151 What is the remainder when 609 is divided by 12? 9 Calculate the remainder when 3258 is divided by 30. 18 What is the remainder when 853 is divided by 96? 85 What is the remainder when 70 is divided by 17? 2 Calculate the remainder when 116 is divided by 31. 23 Calculate the remainder when 242 is divided by 9. 8 What is the remainder when 363 is divided by 36? 3 Calculate the remainder when 162 is divided by 11. 8 What is the remainder when 607 is divided by 38? 37 Calculate the remainder when 3872 is divided by 58. 44 What is the remainder when 337 is divided by 170? 167 Calculate the remainder when 49 is divided by 25. 24 Calculate the remainder when 149 is divided by 74. 1 Calculate the remainder when 123 is divided by 14. 11 Calculate the remainder when 11 is divided by 2. 1 What is the remainder when 2025 is divided by 10? 5 Calculate the remainder when 223 is di
{ "pile_set_name": "DM Mathematics" }
. Which is the closest to -11? (a) i (b) 0 (c) q a Let u = 274/1119 - -33/373. Which is the nearest to -3/7? (a) 16 (b) -2 (c) u (d) -0.5 d Let n = -7.83 - 0.17. Let w = 10.9 + n. Let o = w - 3.4. What is the nearest to 1 in o, 1, 3? 1 Let u = -5183 - -5236. What is the nearest to -1 in -0.07, -1/7, u, -1? -1 Let i = -81.42 + 81. Let x = -7.82 - i. Let z = x - -6.4. Which is the closest to z? (a) 0.4 (b) -0.2 (c) 16 b Let r be (1/2)/((-11)/72). Let w = r + 274/77. Let q = 4757 + -4764. Which is the closest to -1/4? (a) 3/7 (b) q (c) w c Suppose -7*a = 3*a - 20. Let y(g) = -g**3 + 3*g**2 - 5*g + 4. Let p be y(a). What is the nearest to 1 in 1, 1/11, p? 1 Let h = -4.2 + 3.4. Let y be (104/3094)/(4/14). Which is the nearest to h? (a) 0.4 (b) y (c) -0.1 c Let p be ((-45)/(-200))/((-48)/15 - -2). Let j = p - -47/80. Which is the nearest to -2/5? (a) 0.5 (b) 0.1 (c) j b Let p = -3.14 - -0.14. Suppose 7 = -2*k + g, 4 = g + 1. Which is the closest to k? (a) p (b) 2/5 (c) 13 a Suppose 10146*p = 10072*p + 1036. Which is the nearest to -39? (a) p (b) 4 (c) 0.3 c Suppose 0 = -z + l + 2, 21*z - 25*z - 28 = 5*l. Let y = -1.2 - -1.4. Which is the closest to y? (a) -4 (b) -0.3 (c) -3 (d) z b Let r = 32.66 + -32.77. Which is the closest to -1? (a) 4/9 (b) r (c) -0.03 b Suppose -73*v + 8 = 23 - 234. What is the nearest to 1.6 in -1, -2, v, 2/3? 2/3 Let j = 405 + -406. Which is the nearest to -1/3? (a) j (b) 35 (c) 3/5 a Let a = 5.037 - 0.037. Let q be (-1 - -4)/(3 - 2). What is the closest to -2/107 in q, a, -3? -3 Let k be 9 + (-8)/((-64)/(-88)). Let j = 12 + -17. What is the closest to 2 in j, k, -1? -1 Let q = 11801 + -11799. Which is the closest to q? (a) -1/4 (b) -6 (c) -1 (d) 2/21 d Let t = -1.2 + 1. Let w = -111.0364 - -0.0364. Let v = w + 110.96. Which is the closest to v? (a) -2/5 (b) t (c) -3 b Suppose 4*j = -k - 29, -80 + 15 = -5*k + 15*j. Which is the nearest to 0.1? (a) -1/5 (b) 2 (c) k (d) -32 a Let f = -25.924 - -26. Let i = f - 7.576. Let d = 7.5 + i. What is the nearest to -1/3 in d, -1, 4? d Suppose s - 58 = -3*n - s, 0 = -3*n + 2*s + 38. Suppose -13 = 3*a - n. What is the closest to a in -2/3, -1/3, -1? -1/3 Let m = 4179 + -4177. Which is the closest to -13/4? (a) 3/2 (b) 43 (c) m a Let b be 4/(-6)*-2*5*(-21)/280. Let d = -27/7 + 223/56. What is the nearest to 1 in b, d, 0.5? 0.5 Let j = 11 + -11.4. Let m be (5/(-5))/14*63/(-18). What is the nearest to -1 in m, j, -3, 2? j Let z = -8.8558 + 1.0558. Which is the closest to z? (a) 0.1 (b) 3 (c) -3 c Let q = 824.2 - 825.2. Which is the closest to 0.1? (a) -4 (b) q (c) -1/3 (d) 60/11 c Suppose 0 = -0*i + 4*i + 8. Let x = 6 - 6. Suppose x*k = -7*k + 3*k. Which is the nearest to k? (a) i (b) -0.5 (c) 0 c Let g = -1019.3 + 1082.3. What is the closest to 1 in -3, 0.5, g, -2? 0.5 Let y = 134 - 134. Let l = 2.5 + -2.4. Which is the closest to l? (a) -13/3 (b) -2 (c) y (d) 0.3 c Let z(y) = -y**2 - 4*y + 13. Let d = -61 + 63. Let f be z(d). Suppose g + 3 = -3*v, 3*v = 3*g - 14 - 1. Which is the closest to v? (a) 0.3 (b) f (c) -1 c Let i = 49/85 + -3/17. Let k = 0.53562 - 0.53562. Suppose -4*g = 3*x - 5, 2*x = 4*x + g + 5. Which is the closest to i? (a) x (b) k (c) 0.01 c Suppose 2*o - 6*z + 2*z - 40 = 0, -2*z - 84 = -5*o. Suppose -o + 100 = -3*b. Let t be (b/(-294))/(2/(-6)). What is the closest to t in -4, -4/9, -0.1? -4/9 Let k = 1067 + -6401/6. Let g = -143 + 167. What is the closest to 1 in -1, g, 4, k? k Let l be 5/(-4) + (-2013)/(-1188). Let j be (-11)/(-15) - (-174)/(-1305). What is the closest to -10 in -1, -4/3, j, l? -4/3 Let p = 2.06655 - 0.06655. What is the nearest to 0.06 in p, 37, -2/5? -2/5 Let j = -9.98 - -9.88. Let k = 0.098 - -6.902. Which is the closest to j? (a) -3 (b) 2/3 (c) k b Let y = 4/9 + 19/18. Let k = -606 - -600. Which is the nearest to k? (a) 2 (b) y (c) 0.5 c Let s = -0.3 + 0.27. Let p = -2.03 - s. Let g = -0.8 - 3.2. What is the closest to -1/3 in g, 2, p? p Let j = -1.61 + 0.953. Let o = j + 0.557. What is the nearest to 1 in o, 3/7, -0.3? 3/7 Let k = 217 - 71. Let g = 145.5 - k. Which is the closest to -1? (a) g (b) 4/7 (c) -3/8 a Let l = 96.246 - -12.754. Which is the closest to -1? (a) l (b) -2/5 (c) -4/5 (d) 2/17 c Let p = 24 + -24. Let f = 248.1 - 248. What is the nearest to p in -7, f, 3? f Let d = -37 + -70. Let w = 107 + d. Let n = 4.7 + -5.2. What is the nearest to w in 1, -0.01, n? -0.01 Let d = -73.4 + 73.9. What is the nearest to -2 in 3/16, -0.3, d, 0.4? -0.3 Let u = 630/23 - 4456/161. Which is the closest to 2? (a) 0.5 (b) -3 (c) -2/3 (d) u a Let f be -16 + 712/32 - 3*2. Which is the closest to 2? (a) 2/3 (b) -11 (c) f a Let w = -2/3111 + 12458/21777. Which is the nearest to 0.6? (a) w (b) -4 (c) 43 a Suppose 6 = 103*k - 101*k. Suppose 2*g + k = x - 6, 21 = -4*g + 3*x. What is the nearest to -5 in 0.4, -2, 1, g? g Let t = -16.091 + 16.391. What is the closest to 0 in t, 1, 0.64, -0.4? t Let i = 31457 - 31454. What is the nearest to -1 in i, -7, 4, -3? -3 Let f = 10 + -15. Let l = 1193/2 + -1569/4. Let i = l - 204. Which is the nearest to i? (a) -3 (b) 21 (c) f a Let n be 476 - (7 + -9 - 5). Let u = n - 485. What is the closest to 0.2 in -1/4, -1/5, 0.12, u? 0.12 Let j = -1.1269 + 0.1269. Which is the closest to -1? (a) 5 (b) -0.05 (c) j c Let z = -3799/5 + 760. Let g = -9.09 + 7.09. What is the closest to -1/4 in g, 0.1, z? 0.1 Let w(l) = -l**2 + 25*l + 489. Let v be w(38). What is the nearest to 1 in -49, -1/4, v, -2/5? -1/4 Let w(m) = m**2 - 252. Let h be w(-14). Suppose -5*f - 2*v - 305 = 0, 2*v + 0*v - 183 = 3*f. Let l = f - h. Which is the closest to 1? (a) 2 (b) 5 (c) l a Suppose 2*k - 38 = 52. Suppose 0 = -5*r + x + 22, 0 = 44*r - k*r - x + 8. Which is the nearest to -0.1? (a) -38 (b) 2/3 (c) r b Suppose 12 = -3*s + s. Let n = -15 + s. Let h be (6/n)/((-72)/(-56)). What is the nearest to 2/3 in h, 2/7, 5? 2/7 Let w = -55.9 + 56. Suppose -j - 8 - 18 = 3*r, 0 = -2*r + 2*j - 20. Let q = 9 + r. Which is the nearest to q? (a) w (b) 0.3 (c) 5 a Let j = -46 - -45.84. Let w = -5671 + 5670.7. What is the closest to 2/5 in j, w, 0? 0 Let r = 11/145 + 47/145. What is the nearest to 29 in r, 13, -2/3? 13 Let s = -2862 - -2860. What is the closest to 0.2 in s, 6, -0.1? -0.1 Let l = 201.1 + -201. Let x = -29 + 31.7. Let r = x - 3.1. What is the nearest to 0.1 in -4, l, r? l Let i = 211.3 + -143.4. Let n = -68 + i. What is the closest to 57 in n, 5, -4? 5 Let h be (1 + 5 + 34/(-4))*-2. Let j = 1/21 + -26/105. Which is the closest to -1? (a) j (b) 2/3 (c) h a Suppose 2*c = -5*m - 19, -3*c + 19 = 59*m - 61*m. What is the closest to -0.1 in -0.41, m, 0, 1/11? 0 Let s = -3955/3 - -11864/9. What is the closest to 1 in 3, -45/67, s? s Suppose 109*s - 80*s = 0. What is the nearest to 22 in s, 3, -2/13, -2? 3 Let k = -76.818 - 0.682. Let c = k - -75.5. What is the nearest to c in 42, 0.4, 2, -2/9? -2/9 Suppose -42*n - 822 - 452 = -392. What is the nearest to -2/3 in -2/3, -6/43, n? -2/3 Let o = -9.5 + 5.5. Let v = -2.08 + 0.08. Which is the nearest to -3/10? (a) -1 (b) o (c) v a Let f = 11891.96 + -11892. Which is the closest to 0.1? (a) 1 (b) 0.17 (c) f b Suppose -5*l - 413 = -353. Let q(c) = -2*c**2 - 26*c - 20. Let t be q(l). What is the nearest to 0.1 in t, 28, 5? t Let x = -2109 - -2108.6. What is the nearest to 4/3 in 2/9, x, 0.3, -2/31? 0.3 Let w(j) = j**3 + 38*j**2 + 37*j. Let y be w(-37). Suppose y = 182*t - 174*t + 128. What is the closest to 1/3 in t, 2, -1/4? -1/4 Let f = -0.33 + 0.28. Let s be (-4*11/528)/(-2 - 6/(-4)). Which is the closest to s? (a) 0 (b) 0.4 (c) f a Let z = -3210 + 3209.7. Which is the closest to 2? (a) 2/9 (b) -3 (c) z (d) -2 a Let a(o) = o**3 - 19*o**2 - 3*o + 56. Suppose 5*r = 9*r - 3*k - 64, 0 = -3*r - 5*k + 77. Let c be a(r). What is the nearest to c in 1/7, -1/7, -2? -1/7 Let t = -49.69 + 46.69. What is the closest to -1/4 in t, 0.3, 0, 15? 0 Let q be (190/(-200) + 112/(-40))*(-12)/9. Let x be (-58)/56 - (-4)/14. Which is the nearest to x? (a) q (b) -5 (c) -1/6 c Let l = -52982453061/154 - -344043575. Let p = l + -1672. Let c = -235/616 + p. What is the nearest to 1/3 in c, 3/5, -3/2? 3/5 Suppose 0 = -101*h
{ "pile_set_name": "DM Mathematics" }
ming i is positive. i**(-101/10) Simplify (u**11*u)**(1/15) assuming u is positive. u**(4/5) Simplify (u*((u/u**(9/4))/u)/u)/u**5 assuming u is positive. u**(-29/4) Simplify (k*k/k**(-1/6))**23/(((k*(k**(1/2)/k)/k)/k)/k**1) assuming k is positive. k**(157/3) Simplify i/(i**(1/26)/i)*i**(-4/17) assuming i is positive. i**(763/442) Simplify ((y**0/y)/(y*y/(y*y*y*y**(-3)*y)*y))/(y*y**(-1/3)*y*y)**11 assuming y is positive. y**(-97/3) Simplify (d**1)**3/((d/d**6)/d**(-1/6)) assuming d is positive. d**(47/6) Simplify (k**(-1/6))**16*k**(-8/7)*k**(-2/3) assuming k is positive. k**(-94/21) Simplify (a**23)**13 assuming a is positive. a**299 Simplify (w**(2/3))**(6/11)/(w**(2/5))**(1/6) assuming w is positive. w**(49/165) Simplify (k/k**(2/7))/((k*k**(-7))/k)*(k*k**(2/15))/((k**9*k)/k) assuming k is positive. k**(-16/105) Simplify x*x**6/x*((x**(-2/19)*x)/x)/x*(x**0)**(-2/89) assuming x is positive. x**(93/19) Simplify (k**0)**47*(((k*k**1)/k)/k)**7 assuming k is positive. 1 Simplify (o**(-11)/o)**(-25/2) assuming o is positive. o**150 Simplify ((k*k/(k**(1/9)*k))**(6/7))**(-3) assuming k is positive. k**(-16/7) Simplify (h/h**3*h*h*h**(1/2))/(h**(1/3)*h)**(1/58) assuming h is positive. h**(83/174) Simplify ((y*y/(y**(-2/3)*y)*y)**(-16))**(-16/9) assuming y is positive. y**(2048/27) Simplify (d*d**7)/(d*d**28/d) assuming d is positive. d**(-20) Simplify (j**(-2/3))**(-6/11)*(j*j**(-2/5))**(2/5) assuming j is positive. j**(166/275) Simplify (w**(-13)/(w/w**(1/4)))**(-4/13) assuming w is positive. w**(55/13) Simplify ((p*p/(p/p**20))/(p*p/(p/p**(-1/12)*p)))**(-22) assuming p is positive. p**(-2783/6) Simplify (n**(-1)*n/n**(-2))/(n/(n**(-5)*n)*n*n**(-4/3)/n) assuming n is positive. n**(-5/3) Simplify (z/z**(2/9))/z**6*(z*z**(-1/5))/z**(2/13) assuming z is positive. z**(-2677/585) Simplify (s**1)**(-14)*s**(-1/10)/s**(-3/7) assuming s is positive. s**(-957/70) Simplify ((q/(q/q**(1/2)))/q)**(-2)*((q/q**(-2/3))/q)**24 assuming q is positive. q**17 Simplify ((v*v**(-1/6)*v)/v**(1/3))**(-2/43) assuming v is positive. v**(-3/43) Simplify (q**(-1))**(5/8)*q*q**3*q*q*q*q**(-3)/q*q assuming q is positive. q**(27/8) Simplify s**(-1)*s/(s*s/(s*s*(s/(s*s**1))/s))*(s/(((s/s**(1/4))/s)/s))/(s*s**6) assuming s is positive. s**(-27/4) Simplify (p**(-3/11))**(3/28) assuming p is positive. p**(-9/308) Simplify ((u**(-9)*u)/(u/((u*u/u**(1/5))/u)))**(-24) assuming u is positive. u**(984/5) Simplify s**(1/21)*s**(-6) assuming s is positive. s**(-125/21) Simplify z/(z**(-2/91)/z)*z**(-14) assuming z is positive. z**(-1090/91) Simplify o*o/o**1*(((o*(o*o/o**(8/5))/o*o)/o)/o)/o assuming o is positive. o**(-3/5) Simplify (z**(-1)/(z*z/(z/(z/(((z/(z/((z**(-1/2)*z)/z*z)))/z)/z)))*z))**8 assuming z is positive. z**(-44) Simplify (h*h/(h*h*h*h**(-2/3)*h))**(-1)/(h*(h*h**1*h)/h*h/(h*(((h*h/(h/h**(-1)))/h)/h)/h)) assuming h is positive. h**(-14/3) Simplify (y/(y/(y/(y/(y**(-2)/y)))))**(-1/38)*(y/y**1)/(y**9*y) assuming y is positive. y**(-377/38) Simplify (k*k/(k*k**(2/7))*k)/k**(-2/13)*k**(-1)/(k**1/k*k) assuming k is positive. k**(-12/91) Simplify (m**3/m*m*(m*m*m**(1/3)*m)/m)/(m**(-3/8)*m*(m/((((m/((m*m**0)/m))/m)/m*m)/m))/m) assuming m is positive. m**(89/24) Simplify (a**(2/7)/a*a**0)/(a/((a**(-1)*a*a)/a)*a*a**6) assuming a is positive. a**(-61/7) Simplify ((t**3/t)/t**4)/((t**1/t*t)/(t*t*t*t/(t*t**(4/5)))) assuming t is positive. t**(-4/5) Simplify (z/(z**(-2/7)*z)*z**(4/9))**(-11/5) assuming z is positive. z**(-506/315) Simplify y**(5/2)/(y/(y**(3/17)/y)*y) assuming y is positive. y**(-11/34) Simplify (a**(-2/7)*a)**(-33/5) assuming a is positive. a**(-33/7) Simplify (t/(t/t**17))/((t/(t/(t*t/(t/(t*t/t**(2/73)))*t)))/t) assuming t is positive. t**(1024/73) Simplify ((f**(1/2))**(-18))**(-17/3) assuming f is positive. f**51 Simplify (c/(c/((c/(c/((c/(c**1/c))/c)))/c)))**(-16)*(((c*c**(10/3)*c)/c*c*c)/c)/c**(-6) assuming c is positive. c**(82/3) Simplify (l**(1/3)/(l*l**(2/25)))**(1/17) assuming l is positive. l**(-56/1275) Simplify (b**(-3/8)*b/(b*b*b/b**(-11)))**40 assuming b is positive. b**(-535) Simplify ((c*c**(-2/41))/(c/c**(2/3)))**(-1/4) assuming c is positive. c**(-19/123) Simplify (((k*k*k**(1/5))/k)/(k/(k/k**(-2/3))))/(k/k**(-3)*k/(k/(k/(k/k**(-3/5))))) assuming k is positive. k**(-23/15) Simplify n**6/((n/n**5)/n) assuming n is positive. n**11 Simplify s**(1/9)/s*s*s**(1/3)*s**4*s*(s*s*s*s**(1/2)*s)/s assuming s is positive. s**(161/18) Simplify t/(((t/(t/((t/(t/(((t/(t**(-15)/t))/t)/t)))/t)))/t)/t)*t**14 assuming t is positive. t**3 Simplify (m**2/m)**(-20)*((m/(m/m**(3/8)))/m)/(m**(-2)*m) assuming m is positive. m**(-157/8) Simplify (((o**1*o)/o)/o)/o**(5/2)*o/o**(-4)*o**6/o assuming o is positive. o**(15/2) Simplify (g/(g*g*g**(-1/2)*g*g*g*g)*g*g**(3/2))**(2/43) assuming g is positive. g**(-4/43) Simplify w**(-1/12)/w*w*w**(-2/119) assuming w is positive. w**(-143/1428) Simplify (h**3/(((h*(h/(h*h/(h/h**6)))/h)/h)/h))/(h**(-2/3))**10 assuming h is positive. h**(53/3) Simplify (q**26*q)**(7/6) assuming q is positive. q**(63/2) Simplify (n/(n/(n/n**(-14))))/n**0 assuming n is positive. n**15 Simplify (n/(n/(n**2/n)))**(-33)*n**(4/9)*n**(1/4)/n assuming n is positive. n**(-1199/36) Simplify (g**(2/11)*g/g**1)/(g**(-1/4))**1 assuming g is positive. g**(19/44) Simplify ((y/(y*(y*y**(-1))/y))/y)**(-1/19)/(y**(-7/6)/(y/(y/y**5))) assuming y is positive. y**(37/6) Simplify (a**(1/11)/a)/(a**(-12/5)*a) assuming a is positive. a**(27/55) Simplify n**17*(n/n**8)/n*n*n assuming n is positive. n**11 Simplify ((i*i**(7/4)/i)/i*i**(-1/5))/(i/(i*(i/(i/(i**0/i*i)))/i*i*i))**(2/19) assuming i is positive. i**(249/380) Simplify c**15/c*c/(c/(c**(-1/9)*c*c)) assuming c is positive. c**(143/9) Simplify (k/(k**(2/3)*k))**(-1/33)*(k*k**(-2/21))/k**(-1/12) assuming k is positive. k**(2795/2772) Simplify (j**0/j*j*j**6*j)**(3/7) assuming j is positive. j**3 Simplify ((v**(-2)*v*v)/v*v)/v**(-9)*(v*v**(-9)/v)/(v*(v*v*v*(v*v**(-1/10))/v*v)/v) assuming v is positive. v**(-39/10) Simplify (h**2)**18/((h*h/((h/(h**(-2/5)/h)*h)/h)*h*h)/((h**(-1/9)*h*h)/h*h)) assuming h is positive. h**(1633/45) Simplify r**(-1/2)/(r/r**0*r)*(r*r*r**4)/r**(-1/6) assuming r is positive. r**(11/3) Simplify (((l**(1/3)*l)/l)/(l*(l/(l*(l**(-2/5)/l)/l))/l*l*l))**9 assuming l is positive. l**(-183/5) Simplify (a**9)**45 assuming a is positive. a**405 Simplify (r/r**(-1/3)*r)**(-31)/(r**(-10)/r*r**(-3/5)) assuming r is positive. r**(-911/15) Simplify (s**8*s)/s**(-2/77) assuming s is positive. s**(695/77) Simplify (i*i*i**(-3/2)*i)/i**(-5/4) assuming i is positive. i**(11/4) Simplify (k*k**(-1/4)/k)**(-12/5)/((k/((k/(k/((k**(-1/6)/k)/k))*k)/k))/k*k/k**9) assuming k is positive. k**(193/30) Simplify (j/((j*j**(-2/11)*j)/j*j)*j**(-2/5))**(-50) assuming j is positive. j**(670/11) Simplify (q/q**(-1)*q*q**(-6))**(-48) assuming q is positive. q**144 Simplify (t*t/(t/(t**(-2)*t)*t)*t*t**(-5/3))/(t**(1/3)/t*t**(-6)) assuming t is positive. t**5 Simplify d**(-23)*d*d*(d*(d*d**(1/2))/d)/d assuming d is positive. d**(-41/2) Simplify (s/(s/((s**(-6)*s)/s))*s**(-3/2))/(s**1)**(-32) assuming s is positive. s**(49/2) Simplify h*h/h**(-2/21)*((h*h/h**(1/3))/h)/h*h**(-9)*h/(h**6*h)*h assuming h is positive. h**(-257/21) Simplify ((n*n**(2/7))**(2/11))**23 assuming n is positive. n**(414/77) Simplify ((n/(n**5*n)*n)/n**7)**(3/25) assuming n is positive. n**(-33/25) Simplify (r**3*r)/(r/(r*(r/(r*r*(r*(r/(r*r*r**(3/5))*r)/r)/r))/r*r)) assuming r is positive. r**(23/5) Simplify (v*(v/(v/v**(2/3)))/v*v)**29 assuming v is positive. v**(145/3) Simplify (i*i/((i*i**(-8)/i)/i))**(5/16) assuming i is positive. i**(55/16) Simplify c/(((c*c/c**(-1)*c*c)/c)/c)*c/(c*c**2*c)*(c/(c/((c/c**(-1))/c)))**(1/14) assuming c is positive. c**(-69/14) Simplify m**(-22)*m/(m*(m**(-6/17)/m)/m)*m assuming m is positive. m**(-317/17) Simplify ((b*b*b*b**(-2/3))/b)**(1/13)*b**(-4)*b*b**(-2) assuming b is positive. b**(-191/39) Simplify (t**(-2/9)/t)**(4/29) assuming t is positive. t**(-44/261) Simplify ((b**(-2/3))**(8/3))**(-1/16) assuming b is positive. b**(1/9) Simplify ((t**(-1)/t)**44)**17 assuming t is positive. t**(-1496) Simplify (y/(y*y**(31/5)))**45 assuming y is positive. y**(-279) Simplify ((r*r**5*r)**(-40))**(17/4) assuming r is positive. r**(-
{ "pile_set_name": "DM Mathematics" }
e third derivative of -w*f**2 + 3*f**6 - 3 + 3 wrt f. 360*f**3 Let d = -11 + 17. What is the second derivative of -6*j + 6*j + d*j**2 - 5*j wrt j? 12 Let m(f) be the second derivative of -9*f**6/5 - 11*f**3/6 - 2*f + 3. What is the second derivative of m(d) wrt d? -648*d**2 Let r(m) = 29*m**2 - 5*m - 26. Let u(z) = -14*z**2 + 3*z + 13. Let w(f) = 3*r(f) + 5*u(f). Differentiate w(j) wrt j. 34*j Suppose 0 = -4*g + 2*g + 4. What is the second derivative of -4*a**5 + 9*a**5 - 5*a - g*a wrt a? 100*a**3 Let l(p) be the second derivative of 0 + 2*p**2 + p + 1/5*p**5 + 0*p**3 + 0*p**4. What is the derivative of l(k) wrt k? 12*k**2 Let h = -7 + 8. What is the derivative of -19*k**3 + 4*k**4 - 2*k**4 - h + 19*k**3 wrt k? 8*k**3 Find the third derivative of -11*f**4 + 21*f**4 - f**2 - 10*f**2 wrt f. 240*f Let y be -1*1 - (-5 - -4). Suppose y = 2*q + 6, -2*o + 4*q + 9 = -5*o. Differentiate -2*f**4 - o + 3*f**4 - 1 with respect to f. 4*f**3 Let b(j) = j + 1. Let i(a) = -a - 4. Let f(v) = 3*b(v) - i(v). Differentiate f(r) wrt r. 4 Suppose -3*k + 20 = 2*k. Suppose -3*z + 0*b = -3*b - 15, -k*z - 3*b = 15. Differentiate z - 4 - 2*r + 2 wrt r. -2 Let d(r) = r**2 - 4*r + 6. Let m be d(5). Differentiate -m*x**2 - 83*x + 8 + 83*x wrt x. -22*x Differentiate 24 + 3*y**3 + 15*y**4 - 3*y**3 - 34*y**4 wrt y. -76*y**3 Suppose 7 - 19 = -4*h. Suppose 5*k = m - 4*m, -m = -h*k. Find the third derivative of -r**2 - r**5 - r**5 + k*r**5 wrt r. -120*r**2 Let q(m) be the first derivative of 0*m**3 + 3/5*m**5 + 3 + 0*m**2 + 0*m**4 - 6*m. What is the first derivative of q(g) wrt g? 12*g**3 Let y(j) be the second derivative of 0*j**3 - 3/2*j**2 + 0*j**5 + 6*j + 0*j**4 + 1/10*j**6 + 0. Differentiate y(u) wrt u. 12*u**3 Let p(n) = -n**4 - n**3 + n**2 - n + 1. Let f(s) = -66*s**6 + 5*s**4 + 5*s**3 + 5*s - 5. Let x(i) = -f(i) - 5*p(i). Find the third derivative of x(t) wrt t. 7920*t**3 Let v(i) be the third derivative of 3*i**5/10 + 7*i**4/8 + 2*i**2. Find the second derivative of v(q) wrt q. 36 Let q(u) be the third derivative of 0*u**3 + 0*u**6 + 0*u - 1/12*u**4 - u**2 + 0*u**5 + 0 - 1/105*u**7. Find the second derivative of q(p) wrt p. -24*p**2 Let k(a) be the first derivative of -19*a**5/5 - 10*a**3/3 - 6. Find the third derivative of k(c) wrt c. -456*c Let n(s) = 7*s**2 + 4*s + 3. Let c(p) = 133*p**2 + 77*p + 56. Let t(i) = 4*c(i) - 77*n(i). Differentiate t(b) with respect to b. -14*b Let x(t) = -5*t - 3. Let m be x(-1). Suppose -4*q - 9 - 7 = 0, -4*w - 4*q = 4. What is the second derivative of 4*s**3 - m*s + 4*s + 0*s**w wrt s? 24*s Let v(d) = 4*d**2 - 22*d + 3. Let s(a) = -8*a**2 + 43*a - 5. Let k(o) = -3*s(o) - 5*v(o). Find the second derivative of k(c) wrt c. 8 Let t(k) = -9*k**2 - 13*k. Let w(a) = 17*a**2 + 25*a. Let x(y) = -11*t(y) - 6*w(y). What is the second derivative of x(v) wrt v? -6 Find the second derivative of -21*d - 11*d**5 - 245*d**2 + 245*d**2 wrt d. -220*d**3 Let g(c) = 2*c**3 + 11*c + 8. Let i(h) = -h**3 - 6*h - 4. Suppose 0 = -2*v - 2, 2*n - 5 = n - v. Let l(a) = n*g(a) + 11*i(a). Differentiate l(q) wrt q. 3*q**2 Find the third derivative of -66*g**3 + 4 + 9 - 11 + 10*g**2 wrt g. -396 Let m(x) be the first derivative of 0*x**2 + 2/3*x**3 - 8 + 0*x + 0*x**4 - 9/5*x**5. Find the third derivative of m(w) wrt w. -216*w Let g(w) = -w**2 + 1. Let r(p) = 20*p**2 - 6. Let c(h) = 12*g(h) + r(h). Differentiate c(u) with respect to u. 16*u What is the second derivative of 15*y - 2*y + 17*y - 2*y**2 wrt y? -4 Differentiate -5*h**2 - 22*h**3 - 2 + 11 + 5*h**2 with respect to h. -66*h**2 Let t = 27 - 14. Let k = t - 9. What is the derivative of 2*s**2 - k*s**2 + s**2 + 1 wrt s? -2*s Let r(c) = c**4 + c**2 + 1. Let v(a) = 21*a**4 + 5*a**2 + 14. Let w(y) = 5*r(y) - v(y). Differentiate w(b) wrt b. -64*b**3 Let w(y) be the second derivative of -14*y**4/3 + y**3/2 - 3*y**2 + 3*y + 3. Find the second derivative of w(a) wrt a. -112 Let u(d) be the second derivative of 3*d**5/20 + 5*d**4/6 - 11*d. What is the third derivative of u(g) wrt g? 18 Let z be ((-6)/(-3) + -7)/(-1). Let o be 8/(-5)*z/(-2). What is the derivative of 1 - 4*h + 4*h + 3*h**2 - o wrt h? 6*h Let w(x) be the second derivative of 1/4*x**4 - 1/15*x**6 + 0*x**3 + 2*x + 0 + 0*x**5 + 0*x**2. What is the third derivative of w(b) wrt b? -48*b Let w be (-7 - 0) + (-6 - -6). Let z(b) = b + 9. Let n be z(w). Find the third derivative of -6*v**n + 2*v**2 - 3*v**4 + 2*v**2 wrt v. -72*v Suppose 2*t + 0*t - 40 = 0. Find the second derivative of -t + 20 + a**4 - a wrt a. 12*a**2 Differentiate -7*m**2 + 0*m - 18 + 16 + 0*m with respect to m. -14*m Let p(y) = -71*y**3 - 11*y**2 - 17*y + 3. Let g(o) = -24*o**3 - 4*o**2 - 6*o + 1. Let j(n) = 11*g(n) - 4*p(n). Find the second derivative of j(k) wrt k. 120*k Let h = 2 - 10. Let a be -2 - (0 + 2 + h). Find the first derivative of -4 + a + 3*v**3 - 1 - v**3 wrt v. 6*v**2 Suppose 2*w - 12 = -0*q - 3*q, -4*q = 2*w - 14. What is the third derivative of 8*z**5 - z**5 + 2*z**2 - z**2 - q*z**5 wrt z? 300*z**2 Let k(l) be the first derivative of 7*l**2/2 - 4*l - 8. Find the first derivative of k(d) wrt d. 7 Let b(v) = -44*v**2 + 8*v + 62. Let a(t) = 29*t**2 - 5*t - 41. Let r(l) = 8*a(l) + 5*b(l). What is the derivative of r(c) wrt c? 24*c Let h(t) = t**2 + 8*t + 4. Let b be h(-8). Find the first derivative of -5*v + b*v + 0 + 5 wrt v. -1 Let o(d) be the second derivative of -d**8/56 - 9*d**7/14 - 3*d**4/2 - d**2/2 - 13*d - 3. Find the third derivative of o(b) wrt b. -120*b**3 - 1620*b**2 Let f(z) = z. Let u(s) = -12*s + 2. Suppose 0 = -2*m - 0*m - 84. Let w(h) = m*f(h) - 3*u(h). What is the first derivative of w(y) wrt y? -6 Let r(s) = s + 13. Let w be r(-9). What is the second derivative of -w*m**2 - 2*m + 3*m + 4*m + 0*m wrt m? -8 Let s(f) be the third derivative of 0*f**3 + 0*f**7 + 0*f**6 + 0 + 0*f**5 + 1/112*f**8 + 2*f**2 - 1/6*f**4 + 0*f. Find the second derivative of s(y) wrt y. 60*y**3 Let u(h) be the first derivative of h**5/5 + h**2 - 2*h - 1. Let l(c) be the first derivative of u(c). Differentiate l(v) with respect to v. 12*v**2 Let a(r) = 15*r - 6. Let y(f) = 29*f - 13. Let o(j) = -7*a(j) + 3*y(j). Differentiate o(m) wrt m. -18 Let l = 6 + -3. Suppose -l*r - 1 = -13. What is the second derivative of -4*i - 3*i**3 - 2*i + r*i wrt i? -18*i Let o(u) be the first derivative of u**4 - 3*u + 7. Find the first derivative of o(q) wrt q. 12*q**2 Let i = -8 + 8. Let z be i - -1 - (-4 + -1). Find the second derivative of 5*q - 2*q + 7*q**4 - z*q**4 wrt q. 12*q**2 Let t(r) = 10*r**2 - 6*r - 5. Let j(u) = 11*u**2 - 7*u - 6. Let p = -7 + 11. Let s = p - -2. Let d(y) = s*j(y) - 7*t(y). What is the derivative of d(m) wrt m? -8*m What is the derivative of -3 + 3*w - 6*w + 11 wrt w? -3 Let t(d) = 61*d**4 - 4*d**3 + 9*d. Let p(j) = 123*j**4 - 10*j**3 + 17*j. Let f(b) = -2*p(b) + 5*t(b). Find the second derivative of f(y) wrt y. 708*y**2 Let m(u) be the second derivative of 0 + 0*u**2 + 0*u**4 - 1/10*u**5 + 4*u - 1/6*u**3. Find the second derivative of m(q) wrt q. -12*q Let b be (-3 - -1 - -4)/1. Suppose b*q + 10 = 7*q. What is the third derivative of -6*o**2 + 4*o**q + 0*o**3 - o**3 wrt o? -6 Let z(i) be the first derivative of i**6/24 - i**5/60 + 5*i**2/2 + 3. Let y(a) be the second derivative of z(a). Find the third derivative of y(s) wrt s. 30 Let w(x) = -42*x**3 - 13*x**2 - 6*x. Let z(u) = 126*u**3 + 38*u**2 + 17*u. Let g(t) = 17*w(t) + 6*z(t). Find the third derivative of g(i) wrt i. 252 What is the third derivative of -2*a**2 + 91*a**5 - 8*a**2 + 24*a**6 - 91*a**5 wrt a? 2880*a**3 Suppose -3*f - 5 + 11 = 0. Let o be 3 - (-7 + (3 - -1)). What is the third derivative of 2*l**o - 6*l**2 + 9*l**f + 4 - 4 wrt l? 240*l**3 Let k(t) be the first derivative of 3*t**4/4 + 5*t**2/2 + 3*t - 10. Let f(r) be the first derivative of k(r). What is the derivative of f(b) wrt b? 18*b Let u(c) be the second derivative of 11*c**6/30 + 2*c**3 + 13*c. What is the second derivative of u(j) wrt j? 132*j**2 Let n(m) be the first derivative of -27*m**4/4 + 4*m**3 - 1. What is the third derivative of n(a) wrt a? -162 Let c(k) = 11*k**2. Let j be c(-1). Suppose 0*y + p + 4 = y, -3*y + j = -4*p. Find the third derivative of -2*z**y + 3*z**2 - 3*z**2 + z**2 wrt z. -120*z**2 Suppose 4*y + 0*z = -3*z + 27, 4*z = -5*y +
{ "pile_set_name": "DM Mathematics" }
, -2/7, 84, -3? 0.06 What is the nearest to 1/10 in -119, 3, -0.4, -2/9? -2/9 Which is the nearest to -57? (a) 51 (b) 0.4 (c) -1/4 (d) 4 (e) -1 e What is the closest to 0.3 in -5, 1/4, -174, 13? 1/4 What is the nearest to 436 in 0.2, 2, 3? 3 Which is the nearest to 2/5? (a) -25/67 (b) -0.3 (c) -9 b Which is the nearest to 0? (a) -2 (b) 155 (c) 0 (d) -2/7 c What is the closest to -0.1 in -1423, 4/3, -73, 0.07? 0.07 What is the nearest to -2/3 in 46, -2/275, -0.08, -0.2? -0.2 What is the closest to 270 in 5, -107/3, -0.1? 5 Which is the closest to 234? (a) -7/3 (b) -0.1 (c) -5 (d) -2 b What is the closest to -5 in 24, -0.1, -111, 3? -0.1 What is the closest to 7 in 1/100, 2/3, 0.2, 21? 2/3 Which is the closest to 1? (a) -6860 (b) 0.5 (c) 4 b Which is the nearest to -1/2? (a) -0.3 (b) -0.23 (c) -5 (d) -7 (e) -1/45 a What is the closest to -2/9 in 157/3, -9, 2? 2 What is the nearest to 1.8 in -2/43, 2/11, 3/4, 3, 0.3? 3/4 Which is the nearest to -1? (a) 109 (b) 0 (c) 5 (d) 11/5 b What is the nearest to 40 in -275, 1/5, 1, -0.1? 1 Which is the closest to -1? (a) 0 (b) 2/9 (c) -0.2 (d) 3527 c Which is the nearest to -0.1? (a) 1 (b) -0.5 (c) -9 (d) -0.124 d Which is the nearest to 1/4? (a) -150/17 (b) 0.1 (c) -4/73 (d) -0.1 b What is the closest to 0.2 in 55, 5/2, 1380? 5/2 What is the nearest to 3/7 in 0.1, -0.2, -2, 5/2173, 13? 0.1 Which is the closest to -10? (a) -62/59 (b) 0.1 (c) 1 a Which is the closest to 0.03? (a) 11 (b) -428 (c) 2 c Which is the nearest to 0? (a) -8.7 (b) -5 (c) -0.11 (d) 0.4 c Which is the closest to 0.4? (a) -76/11 (b) 1 (c) -0.5 (d) 3 b What is the closest to 0 in 2/9, 1/76, 0.145, -6? 1/76 What is the closest to -0.1 in 0.2629, -4, 1.5? 0.2629 What is the closest to -2/13 in 0.4, -1/6, -8/5, -0.1, 16? -1/6 What is the closest to -19 in 0.4, -2, 6/185? -2 What is the nearest to -1 in -11.834, 0.1, 6, 5? 0.1 Which is the closest to -0.1? (a) -0.05 (b) -0.311 (c) -0.5 a What is the closest to 1.2 in -2, -11, -5, 10? -2 What is the closest to -70 in 6/5, -1/3, 2/129? -1/3 What is the closest to 12 in -74, 5, 3? 5 What is the nearest to 2 in -121, 1.07, 3/7? 1.07 What is the closest to 9 in -2/41, -0.1, 3, 31? 3 Which is the nearest to 1? (a) -1/7 (b) -0.026 (c) -3 (d) -1 b Which is the closest to -0.2? (a) -5/3 (b) -5 (c) -14.6 a What is the closest to 62 in -2/47, -5, 0? 0 Which is the closest to 14/13? (a) -0.1 (b) -1 (c) -1/546 (d) 4 c What is the closest to -0.2 in 0.5, 4, 0.2, 1, 525/2? 0.2 What is the nearest to 1 in 0.4, -509, 1/5? 0.4 What is the closest to 0 in 24, 0.09, 89/5, 0.4? 0.09 Which is the closest to -0.2? (a) 0.1 (b) -0.3 (c) 24/85 (d) 0.3 b Which is the closest to -2/9? (a) 0.5 (b) -9 (c) -65.6 a Which is the nearest to -0.1? (a) -5942 (b) 3 (c) -60 b Which is the closest to 7? (a) -10/51 (b) -0.2 (c) 0.3 (d) 1 (e) 5/4 e Which is the nearest to -2? (a) 76 (b) 194 (c) -4 c Which is the closest to 0.05? (a) 2 (b) -4/21 (c) 0 (d) -17 c What is the closest to -198.92 in 2, -2/9, 0.2? -2/9 What is the closest to 5 in -24, 2/3, -2? 2/3 Which is the nearest to -17? (a) -2 (b) -0.4 (c) -5 (d) 0 (e) -35.78 c What is the closest to 6 in -1, -2/237, 2? 2 Which is the nearest to -2? (a) -5 (b) 2/5 (c) -3 (d) 6/107 c Which is the closest to 3? (a) 66 (b) -1/3 (c) -121/2 b Which is the closest to 2/3? (a) -3/7 (b) 2419 (c) -0.5 (d) -3 a Which is the closest to -0.1? (a) -0.0483 (b) 3/4 (c) 58 a What is the nearest to -246/7 in 38, -2/5, 5, -4? -4 Which is the closest to -20? (a) 0.1 (b) 0.2 (c) -4594 (d) 3/2 a Which is the closest to -2/11? (a) -0.07 (b) 1/3 (c) 3 (d) 15 (e) -0.2 e Which is the nearest to -0.09? (a) 5 (b) -3109 (c) 2 (d) -0.4 d Which is the nearest to -0.4? (a) -296/9 (b) -3 (c) -1 c What is the closest to 0.1 in 2/3, 69/2, -4, -42/5? 2/3 Which is the nearest to -1? (a) 0 (b) -1/46 (c) 2/5 (d) 0.2 (e) -0.058 e What is the closest to 2 in 56, 6/11, -2/9, -5? 6/11 Which is the closest to 0.03? (a) -1/43 (b) -353 (c) -2/7 a What is the closest to -0.1014 in -2, 5, -0.2, -0.08? -0.08 What is the nearest to 0.9 in 0.5, 5, 1.8, -2? 0.5 Which is the nearest to -3? (a) -1/3 (b) 0.111 (c) -1549 a Which is the nearest to 1? (a) 4/9 (b) -0.3 (c) -2/7 (d) -2382 a Which is the nearest to 126? (a) 20 (b) -3 (c) -2 (d) -4 a What is the closest to 0 in -4, -0.5, 88, 4/5, -111/4? -0.5 What is the closest to 2 in -3/7, -28103, -3, 3, -4? 3 What is the nearest to 9 in 4/9, -1, -4, 2584, -0.5? 4/9 What is the nearest to -1 in 1, -1/5, 0.2, -5/518? -1/5 What is the nearest to 0 in 22, -5, -1, 4, -2? -1 What is the nearest to -0.78 in 1.1, 0, -3, 1/2? 0 What is the nearest to -0.05 in -0.00158, -5, -1? -0.00158 What is the closest to -2 in 14/9, -0.0166, 3? -0.0166 Which is the closest to -1/5? (a) 6 (b) 4 (c) 0 (d) -0.3259 d What is the nearest to 0 in -3/221, -9, -0.5, 2? -3/221 Which is the nearest to -369? (a) 10 (b) 6 (c) -0.2 c Which is the nearest to 52? (a) -2 (b) 0.2 (c) 612/11 c What is the nearest to 0.1 in 0.3, -9, -3, -47/21? 0.3 What is the closest to 0 in 0.06, -6/11, 0.003, -3/4? 0.003 What is the nearest to -4 in 4, -2/25, 17? -2/25 Which is the nearest to 2? (a) 3/8 (b) 362 (c) -3/11 (d) -1 a What is the nearest to 0.8 in -0.3, -9/7, 2, 1/7? 1/7 What is the closest to -3.03 in 16, -1/8, 236? -1/8 Which is the closest to -10? (a) 1/6 (b) -1/16 (c) 1/2 b Which is the nearest to 4/49? (a) -3 (b) -0.4 (c) -2 (d) -6/11 (e) -1 b What is the closest to 354 in -2/29, -3, -5, 2/7? 2/7 Which is the nearest to 8? (a) 2/17 (b) -5 (c) -4 (d) 0.08 (e) -274 a What is the nearest to -1.3 in 1/7, -17, 0.5, 2/15, -2/13? -2/13 What is the nearest to -576 in -3, 0.7, -2? -3 What is the closest to 14 in -6/7, 0.06, 3/7, 4? 4 Which is the nearest to 3/2? (a) 5 (b) 2/5 (c) 112 (d) 3/5 (e) 1/57 d What is the nearest to 9 in 2.8, 127/6, -0.1? 2.8 Which is the nearest to -0.1? (a) 3 (b) -0.3 (c) -15 (d) 5 (e) -4/117 e What is the nearest to -2/27 in 0.02, 6, -1348, -1/8? -1/8 What is the closest to -45 in -0.083, 12, -2/3? -2/3 What is the nearest to -0.2 in -3/5, 13, 36? -3/5 Which is the nearest to -26? (a) -51 (b) 7 (c) -1/6 a What is the nearest to 2/11 in -5, -2, 4, 63.9, -0.3? -0.3 Which is the closest to 1? (a) 0.6 (b) -1/9 (c) -3/2 (d) -4 a Which is the closest to 0? (a) -4/35 (b) 5 (c) -2 (d) 1/2 a Which is the closest to -3.9? (a) 0.49 (b) 0.27 (c) -0.05 c Which is the nearest to 1? (a) 15 (b) -3/2 (c) -19 (d) 1/3 (e) -9 d What is the nearest to -6/17 in 4, 1/4918, 1? 1/4918 Which is the closest to -0.1? (a) -0.01 (b) -3 (c) 40 (d) -16/9 (e) 0.2 a What is the closest to -0.2 in 15/7, 10, -129? 15/7 Which is the closest to -46? (a) -1/4 (b) 142 (c) -4 c Which is the nearest to 0.1? (a) -2/453 (b) -0.092 (c) -8 (d) 3/5 (e) 3 a What is the closest to 24 in -0.2, 21, -51? 21 What is the nearest to 0.1 in 30, 151, 2/21? 2/21 Which is the closest to -2? (a) -2 (b) 2137/2 (c) 1/12 (d) 2/9 a What is the nearest to -8.7 in -4, -4/7, -1/9, 3, -3/2? -4 What is the nearest to -0.5 in -0.382, 0.099, 2/9? -0.382 Which is the nearest to -1? (a) -0.02921 (b) -14 (c) -2 a Which is the nearest to -1? (a) 21 (b) -3 (c) -0.2335 (d) 2/3 c Which is the closest to -1? (a) -0.3576 (b) -7 (c) -0.3 (d) 0.5 (e) 0.3 a What is the closest to 32431 in -7, 4, -1/4? 4 Which is the closest to 0.4? (a) -1/3776 (b) -1.7 (c) 0.2 (d) -0.05 c What is the nearest to -350 in -3, 0.06, -4/5, 0.02? -3 Which is the nearest to 2? (a) 3 (b) 5/14 (c) 2/3 (d) 6/17 (e) -0.5 a Which is the closest to -1? (a) -7/13 (b) 0.4 (c) -3 (d) 15 a What is the closest to 2/7 in -10, -0.056, -4/3, -2? -0.056 Which is the nearest to -0.0168? (a) 5 (b) -9 (c) -29 (d) -0.2 d Which is the nearest to 1? (a) 0 (b) 0.035 (c) 4/7 c What is the nearest to 2.9 in -1.7, -6/7, 0.5? 0.5 Which is the nearest to 3? (a) 2/5 (b) 29/17 (c) -5/4 b Which is the nearest to 2? (a) -1/8 (b) -9 (c) 1 (d) -27 (e) -2/115 c What is the nearest to -728 in 5, -3, 2? -3 What is the closest to -136 in 3/5, -6/5, -2, 2, 3? -2 What is the closest to 0.1 in
{ "pile_set_name": "DM Mathematics" }
-30))/((-7)/(-118650)) - 2? 2, 3, 31 Suppose 4*t - 4*c = 43004, -t - 6*c - 1983 = -12699. List the prime factors of t. 2, 3, 199 Let j(w) = -148*w + 31. Let x = 286 + -289. List the prime factors of j(x). 5, 19 Suppose -53*u + 51*u + 442 = 0. Let w = u + 260. List the prime factors of w. 13, 37 Let z(x) = -57 + 17*x - 18*x + 17*x. List the prime factors of z(23). 311 List the prime factors of -4 - (-1235 + 2)*370/111. 2, 2053 Let f = -431 - -465. Suppose -7437 + 1555 = -f*b. List the prime factors of b. 173 Let u(r) = 67*r**2 - 48*r + 312. What are the prime factors of u(6)? 2, 3, 7, 29 Let f(u) = -6*u**2 - 8*u + 17. Let g be f(-7). Let a = 548 + g. What are the prime factors of a? 3, 109 Let c = 506 - 501. Suppose -c*n - 2456 = -7861. List the prime factors of n. 23, 47 Let c = 6209 + -1328. What are the prime factors of c? 3, 1627 Suppose 0 = -22571*y + 22592*y - 1135890. List the prime factors of y. 2, 3, 5, 601 Let v(j) = -12*j - 100 + 242 + 2*j - 114. Suppose 27 + 7 = -4*y - 2*o, 0 = 3*y - 2*o + 22. What are the prime factors of v(y)? 2, 3 Let p(z) = -3075*z - 50. What are the prime factors of p(-3)? 5, 367 Suppose x - 1949 = 2317. What are the prime factors of ((-2)/4)/((-3 + -6)/x)? 3, 79 Suppose -22*j + 129 + 157 = 0. Suppose -1920 = -2*n - j*n. List the prime factors of n. 2 Let y = 3662 - 5247. Let c = y - -3046. List the prime factors of c. 3, 487 Suppose 2*l - 15 = -l. Suppose 5*b = l*i + 3485, 5*i - 2788 = -10*b + 6*b. List the prime factors of b. 17, 41 Suppose -5*n - 2*c + 215 = 2*c, 5*n + c = 215. Let j = n + -168. Let f = j + 215. What are the prime factors of f? 2, 3, 5 Let i(y) = -12*y**2 + 22*y + 116. Let g be i(-15). Let w = -2026 - g. List the prime factors of w. 2, 3, 37 Let f = -27773 - -67450. List the prime factors of f. 11, 3607 Let u be (3 - (-22)/(-4))*(5 - -5). Let v = 25 - u. Let g = v - -259. What are the prime factors of g? 3, 103 List the prime factors of -20 + ((-7679232)/12)/(-16). 2, 19, 263 What are the prime factors of (-3)/(-33) - (30840/(-165) - -10)? 3, 59 List the prime factors of (-9)/(-2)*60/225*(-414260)/(-42). 2, 11, 269 Suppose 2*i - b - 9 = 0, 3*b - 5*b - 10 = 0. Let k be 50 + (28/(-16) - i/8). List the prime factors of (122/8)/(12/k). 61 Let d(m) = 2*m**2 - 10*m + 12. Let k be d(6). Let p be (20/k*3)/(2/(-4)). What are the prime factors of 94 + (-2)/(10/p)? 5, 19 Let h(v) = -v**2 - 15*v - 28. Let g be h(-12). Let j(i) = 2*i**3 - 18*i**2 + 17*i - 1. What are the prime factors of j(g)? 7 Suppose -225 = 11*x + 14*x. List the prime factors of (-10136)/(-32) + (-2)/(1 + x). 317 Let f(d) = 9 + 4*d**2 - 2*d - 14*d - 3. List the prime factors of f(9). 2, 3, 31 Let j(g) = -g**2 + 9*g + 2. Let h be j(9). Suppose -h*b = b - 15. Let q(y) = y**3 - 4*y**2 + y - 17. List the prime factors of q(b). 13 Let b = 2094 + -954. List the prime factors of b. 2, 3, 5, 19 Suppose 607778 = -49*l + 2321602. List the prime factors of l. 2, 1093 Let q(a) = -a**2 - 4*a + 98. Let k be q(-12). Suppose 5*f - 2493 = -k*i, i - 1248 = -8*f + 5*f. What are the prime factors of i? 3, 7, 59 Let y be ((-3)/9)/(3 - (-74)/(-24)). Suppose 4*b - y*z - 1124 = 0, -2*b - 1377 = -7*b - 2*z. What are the prime factors of b? 277 Let f be -1 + 405 - -7*(-14)/49. Let u = f + -209. What are the prime factors of u? 193 Let n = -1478 + 1041. Let x = n + 850. What are the prime factors of x? 7, 59 Let m(r) be the second derivative of -r**4/4 + 2*r**3 - 7*r**2/2 - 107*r + 2. List the prime factors of m(3). 2 Let m(p) = -p**3 + 4*p**2 + 2*p + 15. Let x be m(5). Suppose x = 5*w + w - 684. What are the prime factors of w? 2, 3, 19 Let c = -27713 + 50103. List the prime factors of c. 2, 5, 2239 Let v = -41296 + 61403. What are the prime factors of v? 20107 Let v(m) = -m**2 + 3*m + 2. Let c be v(3). Let u be -3 + 4 + 6/c. Suppose -u*x = -2*x - 80. List the prime factors of x. 2, 5 Let x(u) = 6*u**2 - 3*u + 12. Let f be 3/12 + 34/(-8). List the prime factors of x(f). 2, 3, 5 Let z = -1864 + 5231. List the prime factors of z. 7, 13, 37 Let z(y) = -y**2 - 19*y - 48. Let l be z(-11). Let s = l + -37. Suppose 4*t + k = -k + 78, 0 = s*t - k - 51. What are the prime factors of t? 2, 3 Let c = -474 + 479. Suppose 0 = l + 10*n - 14*n - 758, 3*l + c*n - 2206 = 0. List the prime factors of l. 2, 7, 53 Suppose -4*g + 42 = 2*u, u = -g - 2 + 18. Suppose -803 = u*l - 2508. List the prime factors of l. 5, 31 Suppose -70*o + 96 = -67*o. Let p be -12*(-4)/o - (-2)/4. Suppose 965 = 5*w - 5*s, p*w + 4*s - 417 + 49 = 0. List the prime factors of w. 2, 5, 19 Let o be (-5)/(-10) - (-114)/12. Suppose -o*a = -2533 - 847. List the prime factors of a. 2, 13 Let u = 26038 - 16124. List the prime factors of u. 2, 4957 Suppose 2*k - 3 + 7 = -2*v, 2*k + 10 = 0. Let c be v*(380/4)/(-5). Let l = -15 - c. What are the prime factors of l? 2, 3, 7 Let t(h) = -6*h**2 - 1 - 27*h + 0 - 8*h**2 + 16*h**2. Suppose -25*u = -290 - 160. List the prime factors of t(u). 7, 23 Let i = -208 - -460. Let z = 25 + i. What are the prime factors of z? 277 Let n(b) = -b**3 - 27*b**2 - 73*b - 29. Let w be n(-24). Let q(g) = -2*g**3 + 3*g**2 - 11*g - 1. List the prime factors of q(w). 379 Suppose -5*n + 22106 + 16134 = 2*a, 4*n - 76456 = -4*a. What are the prime factors of a? 2, 3, 5, 7, 13 Suppose -5*p - 5*g + 217865 = 0, 2*g = -4*p + 84970 + 89338. What are the prime factors of p? 3, 73, 199 Suppose 54*d - 924 = 21*d. Suppose 484 = z + 23*q - d*q, -4*q - 2315 = -5*z. List the prime factors of z. 3, 17 Let h(i) = 72*i**2 + 8*i - 21. Let a be h(5). Suppose 0 = 26*x - 43*x + a. List the prime factors of x. 107 Suppose -21*k = -22*k + 2. Let j(h) = -2*h + 6. Let g be j(k). Suppose b - 163 = -g*u, 5*b = 3*u + u - 333. What are the prime factors of u? 2, 41 Suppose j - 38 = 5*o - 26, -2*o + 5*j = 14. List the prime factors of (-41976)/(-42) - o*15/(-70). 3, 37 Suppose -5*g + 9*g = 10712. Suppose 5*d - 2*d - 3*t - 2673 = 0, 3*d - g = 2*t. List the prime factors of d/10 + 12/30. 2, 3, 5 Suppose 2*f = s + 4, s + 2*s = -4*f - 12. Suppose z - 71 - 224 = f. What are the prime factors of z? 5, 59 Suppose 2*n - g - 887 = 0, 564 + 769 = 3*n + g. Let j = n + -252. List the prime factors of j. 2, 3 Let q(a) = -77*a - 260. List the prime factors of q(-39). 13, 211 Let j = -1162 + 5432. List the prime factors of j. 2, 5, 7, 61 Let p = -182 + 998. Let b = p - 580. List the prime factors of b. 2, 59 Suppose -2*j = -t + 7256, 3*t + 0*j + 3*j - 21732 = 0. What are the prime factors of t? 2, 3, 151 Let t(x) = -1472*x**3 - 7*x**2 - 20*x + 6. What are the prime factors of t(-4)? 2, 3, 11, 1427 Let n(k) = 36*k + 7. Let u be n(6). Let z = 628 - u. List the prime factors of z. 3, 5 Suppose -674325 = -183*c + 669887 + 2612065. What are the prime factors of c? 13, 1663 Suppose 3*h + 20357 = 3*b - 29932, -4*h = -3*b + 50282. What are the prime factors of b? 2, 3, 5, 13, 43 Let o(y) = 7*y**3 + 6*y**2 - 15*y - 31. Let l(v) = -8*v**3 - 7*v**2 + 14*v + 30. Let w(c) = -5*l(c) - 6*o(c). List the prime factors of w(-9). 3, 137 Let n(s) = -s + 6. Let p be n(10). Let k(w) = -131*w + 10. Let z(a) = -64*a + 6. Let y(c) = -2*k(c) + 5*z(c). List the prime factors of y(p). 2, 11 Let p(k) = 60*k + 198. Let w(r) = -r - 5. Let c(z) = -p(z) + 2*w(z). List the prime factors of c(-16). 2, 7 Let l be 2 + 46/7 + 8/(-14). Suppose l*n - 387 = 2605. What are the prime factors of n? 2, 11, 17 Let t(w) = -w**2 - 9*w - 18. Let x be t(-4). Let k be 6/(5/x + -1). Suppose 2*p = -p + y + 199, k*y + 16 = 0. What are the prime factors of p? 5, 13 Suppose 5*u + 0*c - c = -771, -3*c = u + 151. Let a = -86 - u. List the prime factors of a. 2, 17 Let f be (0 - 0) + -6 - 20. Let x = 127 - f. What are the prime factors of x? 3, 17 Suppose 0 = 5*n - n + 2*p - 350, 0 = 4*n + 3*p - 355. Suppose 26*c - 1749 + n = 0. What are the prime factors of c? 2 Suppose 0*k + 3*k - 4*a - 34 = 0, -4*k = 5*a - 66. Suppose 3*m + 3*z - 2403 = 0, z + 3975 = k*m - 9*m. What are the prime factors of m? 2, 199 Suppose 6*d + 10 = 16. List the prime factors of (2 - 1/d) + 65. 2, 3, 11 Let p(o) be the third derivative of -o**5/20 - 3*o**4/4 - 17*o**3/6 + 51*o**2. Let t be p(-11). Let d = 95 - t. List the prime factors of d. 277 Let d(l) = -l**2 - 28*l - 181. Let z be d(-13). What are the prime factors
{ "pile_set_name": "DM Mathematics" }
7884112, 83353117? 113452850 What is the next term in 221011, 442007, 663011, 884029, 1105067, 1326131, 1547227, 1768361? 1989539 What comes next: 119156, 119266, 119470, 119786, 120232, 120826, 121586? 122530 What comes next: -1089, -9453, -32147, -76335, -149181? -257849 What is next in -12769246, -25538495, -38307746, -51077005, -63846278, -76615571? -89384890 What is the next term in 2566278, 10265257, 23096890, 41061177, 64158118, 92387713, 125749962? 164244865 What is the next term in 8901, 9255, 9637, 10047, 10485, 10951? 11445 What is the next term in -281544, -563141, -844834, -1126671, -1408700, -1690969, -1973526? -2256419 What is next in -2321972, -2321959, -2321946, -2321933, -2321920? -2321907 What is next in -316613, -316559, -316409, -316115, -315629, -314903, -313889? -312539 What comes next: 8092776, 8092780, 8092788, 8092800, 8092816, 8092836? 8092860 What is the next term in 22479087, 22479086, 22479085, 22479084? 22479083 What is the next term in -722, -5699, -13988, -25589, -40502, -58727, -80264? -105113 What is next in -3084, -6101, -9176, -12303, -15476, -18689? -21936 What is next in 126982, 127005, 127028, 127051, 127074? 127097 What is the next term in -366438, -366179, -365898, -365583, -365222, -364803, -364314? -363743 What is next in -751381, -1502789, -2254197? -3005605 What is the next term in 1549, 5573, 9597, 13621, 17645, 21669? 25693 What comes next: 410377, 410303, 410229, 410155, 410081? 410007 What comes next: -6836, -6385, -5934? -5483 What is next in -45144, -86324, -127492, -168642, -209768, -250864? -291924 What is the next term in -186563, -186531, -186493, -186443, -186375, -186283, -186161, -186003? -185803 What is the next term in -23, 64, 233, 448, 673? 872 What is next in -3682, -3639, -3588, -3523, -3438, -3327, -3184? -3003 What is the next term in -22128202, -22128204, -22128206, -22128208, -22128210, -22128212? -22128214 What is the next term in 7307, 7032, 6757, 6482, 6207? 5932 What comes next: -87206278, -174412560, -261618842, -348825124, -436031406, -523237688? -610443970 What comes next: -10025, -40504, -91315, -162458, -253933? -365740 What comes next: 94799216, 189598432, 284397650, 379196870? 473996092 What comes next: -6591, -24822, -54691, -96192, -149319, -214066? -290427 What is the next term in 12534, 100248, 338200, 801510, 1565298, 2704684? 4294788 What is next in -3002955, -12011814, -27026577, -48047244, -75073815, -108106290, -147144669? -192188952 What comes next: 5459, -18557, -42573, -66589, -90605? -114621 What is next in -11869, -47337, -106431, -189151? -295497 What comes next: 1953, 2396, 3133, 4164? 5489 What is next in 60149, 240600, 541333, 962324, 1503549, 2164984? 2946605 What comes next: -454, -145, 834, 2819, 6146, 11151, 18170? 27539 What comes next: -108558, -108496, -108436, -108378? -108322 What is next in 100677, 402756, 906237, 1611120? 2517405 What is next in -988, -4207, -11842, -26101, -49192, -83323? -130702 What comes next: -10526, -18762, -26998, -35234? -43470 What comes next: 421324, 421352, 421380, 421408, 421436? 421464 What is the next term in -445822, -445832, -445842, -445852, -445862, -445872? -445882 What comes next: 652767, 2611094, 5874965, 10444374, 16319315, 23499782, 31985769, 41777270? 52874279 What comes next: 358, 632, 784, 808, 698, 448? 52 What comes next: 174939, 174909, 174883, 174861? 174843 What is next in -1820, -1637, -1338, -929, -416? 195 What is next in -13507, -54111, -121785, -216529? -338343 What is the next term in -2971, -5672, -8361, -11038, -13703? -16356 What is the next term in 577632, 1155016, 1732402, 2309790, 2887180, 3464572, 4041966? 4619362 What comes next: -55804, -55731, -55602, -55417, -55176? -54879 What is the next term in -4780, -10377, -15974, -21571, -27168? -32765 What comes next: -104, -340, -820, -1616, -2800, -4444, -6620? -9400 What is the next term in -2934252, -2934254, -2934256, -2934258? -2934260 What is the next term in 6014, 9083, 12150, 15215, 18278, 21339? 24398 What is the next term in 5064341, 5064476, 5064613, 5064752, 5064893, 5065036, 5065181? 5065328 What is next in -424219, -424283, -424347, -424411, -424475, -424539? -424603 What comes next: 940744, 940867, 940990, 941113, 941236? 941359 What comes next: -65525, -57746, -44785, -26648, -3341, 25130, 58759, 97540? 141467 What comes next: -2791, -6229, -10359, -15181, -20695, -26901, -33799? -41389 What is the next term in 208467, 1667570, 5627991, 13340388, 26055419, 45023742, 71496015? 106722896 What is next in 44681911, 89363820, 134045729? 178727638 What comes next: 402698, 805355, 1208012, 1610669, 2013326, 2415983? 2818640 What comes next: 387009841, 774019679, 1161029515, 1548039349, 1935049181? 2322059011 What comes next: 1899, 7411, 16529, 29259, 45607? 65579 What is next in 58477861, 116955732, 175433603, 233911474? 292389345 What is the next term in 2297349, 2297307, 2297239, 2297145, 2297025, 2296879, 2296707? 2296509 What is next in -49532, -92675, -135818, -178961, -222104? -265247 What is the next term in 30573, 60241, 89901, 119553, 149197, 178833? 208461 What is next in -8868, -9238, -10242, -12198, -15424? -20238 What is next in 3613, 7110, 10491, 13756? 16905 What is the next term in -18573, -35379, -52185, -68991? -85797 What is the next term in -3272704, -6545419, -9818134? -13090849 What is the next term in 3441, 3231, 2897, 2457, 1929, 1331? 681 What is the next term in 2220487, 4440980, 6661473, 8881966? 11102459 What is the next term in 14349, 16331, 19635, 24261, 30209, 37479, 46071? 55985 What comes next: 17298, 17311, 17342, 17391? 17458 What is the next term in 68000, 67999, 68026, 68081? 68164 What is next in -19003, -19435, -19867, -20299? -20731 What is the next term in -133958486, -267916972, -401875458? -535833944 What is next in 712, 2317, 6022, 12877, 23932, 40237, 62842? 92797 What is next in 4156, 1457, -5852, -20075, -43516? -78479 What comes next: -57, -33, 69, 255, 531, 903, 1377, 1959? 2655 What is next in 957, 8369, 28625, 68193, 133541, 231137? 367449 What is the next term in 442758, 3542167, 11954852, 28337451, 55346602, 95638943, 151871112? 226699747 What comes next: -19988303, -19988306, -19988309, -19988312, -19988315, -19988318? -19988321 What comes next: 2835, 11507, 25967, 46203, 72203, 103955, 141447, 184667? 233603 What is next in 84661, 169327, 253993? 338659 What is the next term in 2057, 5922, 12377, 21428, 33081, 47342, 64217? 83712 What is next in -1160, -5044, -11604, -20846, -32776, -47400, -64724, -84754? -107496 What is next in -621601, -1243194, -1864787, -2486380? -3107973 What is the next term in 838787, 838772, 838741, 838688, 838607, 838492? 838337 What is the next term in 46323, 88839, 131355, 173871, 216387? 258903 What is the next term in -857764996, -1715529993, -2573294990, -3431059987? -4288824984 What comes next: 281136914, 281136913, 281136912? 281136911 What is next in -240224, -1921795, -6486084, -15374459, -30028288, -51888939? -82397780 What is the next term in -1538069, -1539028, -1539987, -1540946, -1541905, -1542864? -1543823 What comes next: -4563, -2826, -1089, 648? 2385 What comes next: 1675142, 3349903, 5024664, 6699425? 8374186 What is the next term in -1194, -2224, -3094, -3810, -4378, -4804, -5094? -5254 What is the next term in -66359, -66287, -66173, -66023, -65843, -65639? -65417 What comes next: -737, -2908, -6543, -11642? -18205 What is next in 4072, 6445, 8818, 11191, 13564? 15937 What is next in 214461, 214444, 214427, 214410, 214393, 214376? 214359 What is next in 54925, 54873, 54721, 54415, 53901, 53125, 52033? 50571 What is next in 309, -1734, -5139, -9906, -16035? -23526 What is the next term in -17430, -34777, -52126, -69477? -86830 What is next in -5340492, -10680956, -16021420, -21361884, -26702348, -32042812? -37383276 What is the next term in -5961494, -5961492, -5961490, -5961488? -5961486 What is the next term in -2798345, -5596705, -8395065? -11193425 What comes next: 36930, 37741, 38552? 39363 What is next in -5797, -6530, -7263? -7996 What comes next: -21515, -40734, -59953, -79172, -98391? -117610 What is next in 16225589, 16225595, 16225605, 16225619, 16225637, 16225659? 16225685 What is the next term in -5124,
{ "pile_set_name": "DM Mathematics" }
-4*v + 2*v + 0*v)*(0 + 0 + 2))*(3 - 3 - v)*(-4 - 4 - 5). -26*v**2 Expand 1 - h**3 - 1 + ((-2*h**2 + 3*h**2 - 2*h**2)*(-2*h + 0 + 0) + 35 - 35 + 14*h**3)*(-4 + 0 + 2). -33*h**3 Expand (13 + 20 - 5)*(0*j**4 + 2*j**5 + 0*j**4 + (j**2 + j**2 + 0*j**2)*(-j**3 + j**3 + j**3)) + (-3*j**2 + 2*j**3 + 3*j**2)*(-7*j - 5*j**2 + 7*j). 102*j**5 Expand (s + 2 - 2)*(5*s + 34 - 7 - 24*s + 7*s). -12*s**2 + 27*s Expand (-b**2 + 3*b**2 + b**4 - 1 + b**4)*((4 - 3 + 1)*(2*b - 7*b + 3*b) - 1 + 1 - 2*b + 5*b - 6*b + 0*b + 38*b - 512 + 512). 62*b**5 + 62*b**3 - 31*b Expand (0 + 3 - 1)*(122*k - 244*k + 2 + 121*k + 227*k**3). 454*k**3 - 2*k + 4 Expand (-k**2 + 21*k**2 - 4*k**2)*(-4*k + 13*k + 7*k). 256*k**3 Expand -879*o - 19*o**4 + 879*o + (-2*o + 2*o + 2*o)*(-o**3 + o**3 + 2*o**3) + 6*o**4 + 7*o**3 - 7*o**3. -9*o**4 Expand (-19 + 19 + 31*k)*(-3*k + 0*k + k) + (-k + 3*k - k)*(0 + k + 0*k - 6). -61*k**2 - 6*k Expand (-3*k**3 - 4*k**3 + 4*k**3)*(72 - 163 - 395). 1458*k**3 Expand (-3*k**4 + 2*k**4 - 2*k**3 + 2*k**4)*(304 - 118 - 135). 51*k**4 - 102*k**3 Expand (2*q**2 + 0*q + 0*q)*(4*q + 9*q + 2*q + 3). 30*q**3 + 6*q**2 Expand (2*o + 0*o - 5*o)*(37 + 10 + 27 + 2 - 2 + 1 + (-2 + 0 + 1)*(-1 + 0 + 0) + 0 - 1 + 0 - 4 + 0 + 2)*(2*o**2 + 2 - 2). -438*o**3 Expand 2 - 2 - s + (-3*s + 6*s - 2*s)*(10 + 17 + 30) + (2 + s - 2)*((8 - 3 - 3)*(3 + 1 - 3) + 4 - 2 + 0). 60*s Expand (-3*g + 0*g - 1 + g)*(-28*g + 28*g + 8*g**2). -16*g**3 - 8*g**2 Expand -45*a + 11*a**2 + 45*a + (-3*a + 7*a - 2*a)*(0*a - 2*a + 4*a) + 5*a**2 - 5*a**2 - a**2 + (-2 + 0 + 3)*(-4*a**2 + a**2 + 5*a**2) - 3*a + 3*a + 5*a**2. 21*a**2 Expand (-202 - 322 - 101)*(2*z**5 + 3*z**4 - 3*z**4 - 2*z**4). -1250*z**5 + 1250*z**4 Expand (4*b**2 - 4*b**2 + 3*b**3)*(43*b + 3*b + 25*b). 213*b**4 Expand (-2 + 2 + 1)*(1 - 2 - 1)*(-y + y - 6*y) - 105 + 105 + 12*y. 24*y Expand ((-1 + 0 + 5)*(6*d + 0*d - 5*d) + 1 - 1 - d)*(-13*d**3 + 10 + 11 + 12*d**3) - 3*d + 3*d - d**4. -4*d**4 + 63*d Expand 1 + 1 + 4 + 14*v - 1 - 2*v + 1 + (0*v - v - 3*v)*(-3 + 2 + 3). 4*v + 6 Expand 4*t**5 - 3*t**5 - 2*t**5 + (t**2 - 5*t**2 + 2*t**2)*(3 - 3 + t**3) - 4*t**2 - 3*t**5 + 4*t**2 + (-t**4 + 7*t**4 - t**4)*(-3*t + 4*t - 3*t). -16*t**5 Expand (-w**3 - 4*w + 4*w + 3*w**3 - 4*w**3 - 2*w**3 + (0*w**2 - 3*w**2 + w**2)*(0 + 0 + w))*(-5 - 4 + 11 - 5*w). 30*w**4 - 12*w**3 Expand -25 + 42*a**4 + 25 + (3*a**2 - 3*a**2 + 2*a**2)*(0*a**2 + 4*a**2 - 2*a**2). 46*a**4 Expand (-5*z + z + 3*z)*(-z**2 + 0*z**2 - 4*z**2)*(-3 + 4 - 2) + (z**2 + 3*z**3 - z**2)*(-1 + 1 - 4). -17*z**3 Expand (2 - 9 - 31 + (4 - 3 + 1)*(2 - 1 - 3) + 1 - 2 + 3)*(3*g**4 + g**4 + 2*g**4). -240*g**4 Expand (x - x + 2*x**2)*(x - 4*x - x + (2*x + 0*x + 4*x)*(-6 + 2 + 2))*(-4 + 2 - 1). 96*x**3 Expand (1 + 8 + 2)*(-4 - i + 4) + (2 - 2 + 2*i)*(1 + 1 - 3) + 2*i - 3*i + 0*i + 2*i + 0*i + 0*i - i - 4*i + 4*i - 2*i + 3*i + 0*i. -12*i Expand (k - 4*k + 4*k)*(40*k**3 - 53*k**3 - 52*k**3) + 2*k**4 - 2*k**4 - k**4. -66*k**4 Expand -7*x - 12*x + 10*x - 4*x + 4*x + x + 3*x - 2*x + x + (2*x + x - 4*x)*(2 + 1 + 14). -23*x Expand (10 + 2 + 13)*(-y + 5 - 5). -25*y Expand (-c**3 + 5*c**3 - 3*c**3)*(-c - 1 + 1) + 0*c**4 - 2*c**4 + 10*c**4 + 2*c**4 - 4*c**4 - c**4 + 3*c**4 - c**3 + c**3. 7*c**4 Expand (7*a**3 + 8*a**3 - a**3)*(-9*a**2 + a**2 - a**2). -126*a**5 Expand (-2*a - 3 + 3 + (0 - 2 - 2)*(7*a - a - 2*a))*(-a + 2 - 2). 18*a**2 Expand (q + 2*q - 5*q)*(-20*q - 1607 + 1607) + (1 + 2*q - 1)*(-3 + 3 + q). 42*q**2 Expand (0*j - 3*j + j)*(16*j - 4*j - j - j + 2*j + j - j + j + 2*j - 2*j + j - j + (-3*j + 2*j - j)*(0 + 2 + 0) - 2*j - 1 + 1 - j - 2*j + 5*j). -18*j**2 Expand (n**2 + 0*n**2 - 5*n**2)*(-3*n**3 + 2*n**3 + 0*n**3) + 4*n**5 - 27*n - 29*n + 55*n. 8*n**5 - n Expand (-v + 3*v - 4*v + (-3*v - 9*v + 2*v)*(-3 + 0 + 2))*(0*v**4 - 5*v**4 + 3*v**4). -16*v**5 Expand (0 + 2*f + 0)*(-5*f + 5*f - f) + (2*f - f + 0*f)*(56829 - 56829 - 305*f). -307*f**2 Expand (-l + 0*l + 3*l + 0*l + l - 3*l + 4 - l - 4 + (4 - 6 + 3)*(l + 2*l - l) - l + 0*l - l + (21 - 21 + 2*l)*(-7 + 2 + 2))*(-l - 5 + 5)*(-4 - 88 + 7). -595*l**2 Expand 3*x**2 + x**2 - 7*x**2 + 4*x**2 - x**2 - x**2 + (3*x - x - 4*x)*(x + 0*x - 2*x) - 2*x**2 + 0 + 0 - 2*x**2 - 5*x**2 + 3*x**2 - 3*x**2 + 4*x**2 + x + 0*x. -4*x**2 + x Expand (-a**3 - 3*a**3 + 2*a**3)*(0 + 6 - 3) + (-13 + 4 + 2)*(2*a**3 - a**3 + a**3). -20*a**3 Expand y**4 + 0*y**4 + y**4 + (1 - 2*y**3 - 1)*(-2 - y + 2) + (2*y**3 + y - y)*(-4*y + 4*y - 2*y) - y**4 - 3*y**4 + 13*y**4. 9*y**4 Expand (2 + 837*k**3 - 885*k**3 + 0)*(1 + 1 + 0). -96*k**3 + 4 Expand (2 - 33*d**2 + 8*d - 22*d**2 + 54*d**2)*(0*d + 0*d - d - d + 2*d + 2*d + (-3 - 2 + 7)*(-d - 4*d + 3*d)). 2*d**3 - 16*d**2 - 4*d Expand (-p + 0 + 0)*(-1 + 0 + 2) + 358*p - 179*p + 29 - 180*p. -2*p + 29 Expand (0 + 1 + 1)*(-5 - 2*i + 5) + 7*i - 5*i + 19*i + (3*i - 2*i - 11*i)*(1 - 4 + 5) + (-4 - i + 4)*(0 - 5 + 3). -i Expand -2*u**2 - 2*u**2 + 3*u**2 + (1 + u - 1)*(2*u + u - u) + 0*u + 0*u + 2*u**2 - 3 + 3 - 2*u**2 - u**2 - 2*u + 2*u + (0 - 3 + 2)*(-7*u**2 + 4*u**2 + 4*u**2). -u**2 Expand (-33*i + 2 + 2 + 31*i)*(-70 - 45 + i**2 + 32). -2*i**3 + 4*i**2 + 166*i - 332 Expand (-2 + 1 + 4)*(11 - 11 - 345*q**3). -1035*q**3 Expand (-1 + 4 - 5 + (-1 - 4 + 1)*(-4 - 1 + 3))*(-2*i**4 - 1 - 2*i**2 + 2*i**2 - 3*i**2). -12*i**4 - 18*i**2 - 6 Expand (2*l**3 - 2*l**3 - 3*l**3)*(-19*l + 11 - 11) - l**4 - 4*l**4 + l**4. 53*l**4 Expand (-1 + 1 + n)*(408*n - 112*n**2 - 408*n) + n**3 + 2*n**3 - 4*n**3. -113*n**3 Expand (-36 - 7 + 6)*(-4*g + g + g)*(1 + 3 - 2). 148*g Expand (-3 + 4 + 1)*(40*y - 79*y + 28*y). -22*y Expand (6 - 1 - 3)*(-70669*a**4 + 70669*a**4 + 572*a**5). 1144*a**5 Expand (-26*l + 15*l + 20*l)*(-l + 0*l + 2*l) - 13 - 6*l**2 + 13. 3*l**2 Expand -8*n**5 + 3*n**5 - n**5 + (-46 - 24*n + 46)*(n**2 - n**2 + 6*n**2)*(0*n**2 + 0*n**2 + 2*n**2). -294*n**5 Expand 4 - 2*g - 4 + (4 - 5 - 9)*(-g + 6*g - 22*g). 168*g Expand (3*a - a + 0*a)*(-a + 2*a - 3*a) + 1311 - 1311 - 5*a**2. -9*a**2 Expand (-u**2 + 2*u**2 - 3*u**2)*(3*u**2 - 3*u**2 - 2*u**3) - u**5 + u - u + 15*u**5 - 3*u**5 + 3431*u**2 - 3427*u**2. 15*u**5 + 4*u**2 Expand (2*v**5 + 3*v - 3*v - 2)*(1 + 3 - 5) - 30*v**5 + 20*v**5 - 19*v**5. -31*v**5 + 2 Expand (-4 - 3 + 3)*(3*n - 7 - 2*n + 5). -4*n + 8 Expand (53 - 4*v - 53)*(19 - 20 + 9)*(2*v - 2*v - 2*v). 64*v**2 Expand (-r + 0 - 6 + 8)*(-7 + 31 + 4). -28*r + 56 Expand 2*m**2 - 2*m**2 + m**2 - 43*m + 67*m**2 + 43*m + (m + 0*m - 2*m)*(5*m + 0*m - 3*m). 66*m**2 Expand (-p + 3 - 3)*(1 + 0 - 2)*(-5*p**4 + 4*p**4 - 3*p**4). -4*p**5 Expand (-2*j**2 - 3*j - 12*j + 11*j)*(2*j + 2*j - 2*j). -4*j**3 - 8*j**2 Expand (-10*i + 2*i**2 + 10*i)*((-2*i - i + i)*(i + i + 0*i) - 13*i**2 + 15 - 15). -34*i**4 Expand (-u + 4*u - 2*u)*(1 + 2 - 2) + 2670*u + 772*u - 4984*u. -1541*u Expand (7*n**2 - 13*n + 13*n + (4 - 3 - 3)*(-n**2 - 2*n**2 + n**2))*(-3*n**3 - n**3 - 2*n**3). -66*n**5 Expand f**2 - f**2 + f**2 + (f - 4*f + f)*(-15*f + 61*f + 16*f) - 39*f - 14*f**2 + 39*f. -137*f**2 Expand (-24*b**2 + 4*b**2 + 10*b**2)*(23*b**2 - 10 + 10). -230*b**4 Expand (-8 + 4*p**2 + p - 37*p**2 + 6)*((p - 3*p + 4*p)*(5 - 4 + 1) + 2*p - 4*p + 4*p). -198*p**3 + 6*p**2 - 12*p Expand (-125 + 53*u + 125)*(-3 + 3 + 1)*(2 - u - 2). -53*u**2 Expand 2*p**4 + 2*p - 2*p + (-9 + 16 + 4)*(3*p**3 - p**3 - 4*p**3)*(-70 + 70 - 25*p). 552*p**4 Expand -2*b**2 + 0*b**2 - 3*b + 4*b + (0*b - 3*b + 5*b)*(-2*b + 1 - 1)*(-4 + 4 - 9). 34*b**2 + b Expand (-3*o + o + 4*o)*(3 - 3 + 2)*(1 - 12 - 2). -52*o Expand (-1 - k**4 + 1 + (-4 - 4*k**4 + 4)*(-4 + 6 + 0))*((4 - 1 - 1)*(0 + 0 - k) + 6*k - 5 + 5). -36*k**5 Expand (4*y - y - 4*y)*(0*y**3 + 2*y**3 + y**3) + 2 + 11*y**4 - 2 + 3*y**4 - 6 - 2*y**4 + 8 - y**3. 9*y**4 - y**3 + 2 Expand (0 - 2*g + 0)*(2*g**2 - g**4 - 2*g**2) + 0 + 0 - 2*g**5 + 39*g**5 + 39*g**5 - 72*g**5 + (g**4 - 3*g**4 + 3*g**4)*(4 - 4 + g). 7*g**5 Expand w**3 - 3*w**4 - w**3 + (3*w**2 - 2*w + 2*w)*(-w**2 + 2 - 2) + 152*w**3 - 152*w**3 + 7*w**4. w**4 Expand (-3*r - r + 3*r + (r - r + r)*(2 - 3 - 1))*(24*r - 18*r + 20*r). -78*r**2 Expand (-10 + 3 - 5)*(-1216 + 1216 - 30*z). 360*z Expand (-1392*r - 73*r**2 + 1392*r)*(r**3 + 0*r**3 + 0*r**3). -73*r**5 Expand (1 + 0 + 0)*(3*b**3 - 4*b**3 + 0*b**3) + b - b - 2*b**3. -3*b**3 Expand (2*j**4 - 3*j**4 + 0*j**4 - 5*j**4 + 4 - 4 + (5*j**2 - 2*j**2 - 4*j**2)*(3*j - 3*j - j**2))*(3*j +
{ "pile_set_name": "DM Mathematics" }
19, a in increasing order. -19, a, 5/2 Let n = 47 - 43. Let z = 414/7 + -1692/35. Let u = z - 368/35. Put u, n, 4/7 in increasing order. u, 4/7, n Let c = -37 + 23. Let l = c - -12.3. Let b = 1.5 + l. Put -1/9, b, 1 in descending order. 1, -1/9, b Let g(w) = w**3 + 4*w**2 + w + 3. Let r be g(-3). Suppose 0 = -5*u - 3*t - 15, 21 = 2*u - 3*u + 3*t. Let k be (-8)/(-3)*r/u. Put -3, k, 4 in increasing order. k, -3, 4 Suppose i = 5*x - 4*i + 5, -x + 4*i = 13. Suppose x*w - 15 = -2*w. Let p be 5/(-2)*(-12)/15. Sort w, p, 5 in descending order. 5, w, p Let u(x) = 5*x**3 - 27*x**2 - 41*x + 37. Let p(o) = -o**3 + 7*o**2 + 10*o - 9. Let h(n) = 9*p(n) + 2*u(n). Let a be h(-8). Sort -5, 4, a in ascending order. a, -5, 4 Let o be (-868)/(-8) + (-6)/4. Let p be (4/12)/((-5)/(-1599)). Let f = p - o. Sort 0.5, 0.2, f. f, 0.2, 0.5 Let h = 0.1 + -0.3. Let b be 420/13230 - (-65)/(-63). Put 3/4, b, h, 2/15 in increasing order. b, h, 2/15, 3/4 Let x = -1 + 0.98. Let v = -156.48 + 157. Let d = v + x. Sort -3, -0.4, d in decreasing order. d, -0.4, -3 Suppose 4*s - 2*m = -28, 0*s + 4*s + 28 = 3*m. Let y = s + 4. Let l = -0.04 - -2.04. Sort y, 1, l in ascending order. y, 1, l Suppose -4*l + x = -10, -3*l + 4*l - 5*x + 7 = 0. Sort l, -4, -26. -26, -4, l Let t(c) = -c**2 - 17*c + 15. Let n be t(-18). Let l be 111/(-39) + (36/(-4))/n. Sort 0.3, 0, l, -2/13 in ascending order. -2/13, 0, l, 0.3 Let s = 294 + -295. Sort -3, 2, s, -26 in ascending order. -26, -3, s, 2 Let f = -36493/15 - -2433. Let y = 60/17 - 369/119. Let p = -3.94 + -0.06. Put p, y, f in increasing order. p, f, y Suppose -8*v = -3*o - 3*v + 34, -4*o - 2*v + 2 = 0. Suppose -a - 6 = -o*a. Let c be (5/11)/(-24 - 7420/(-308)). Put -4, a, c in decreasing order. c, a, -4 Let p(x) = 2 + 4*x**2 - 3*x**2 - 3 - 4*x. Let b be p(3). Suppose 12*u - 30 = 6*u. Put u, -3, b in descending order. u, -3, b Let y = -968 - -967. Put -11, y, 0, -2 in decreasing order. 0, y, -2, -11 Let d = 905/7 + -129. Let y be -6 + 2 - (-3)/2. Sort d, 0.03, y in descending order. d, 0.03, y Let b(x) = 3*x + 4. Let m be b(-1). Let d(u) = -u**3 + 7*u**2 - 3*u - 8. Let i be d(6). Suppose 8*r - 3*r = i. Sort m, r, -2 in descending order. r, m, -2 Suppose 4*z - 39 = 7*s, -8*s = -5*z - 4*s + 25. Put 0.5, z, -3, -1/3 in descending order. z, 0.5, -1/3, -3 Suppose -5*s + 0*s = -10. Let h be (4/3 - 2) + (s - 0). Sort -5, h, 3/4, 1/3. -5, 1/3, 3/4, h Suppose -3*c + 20 + 31 = 0. Suppose -c*j + 13*j + 12 = 0. Let h(a) = -a**3 - 6*a**2 - 5*a - 2. Let m be h(-5). Put j, m, 0.3 in decreasing order. j, 0.3, m Let h = -8275067/3459228 - -1/67828. Let u = h + 18/17. Sort u, 0, -5, 0.4. -5, u, 0, 0.4 Let o be 15/(-5) - (-2)/(-10)*-19. Put -4/35, -3, o in descending order. o, -4/35, -3 Suppose 4*a + 0*a = 8. Suppose 5*m + 2*r - 26 = 0, -3*r + 10 = 2*m - a*r. Sort 3, -1, m, -3/8 in increasing order. -1, -3/8, 3, m Let k be 0 - ((-12)/(-5))/((-2)/10). Suppose k*j - 14*j - 10 = 0. Sort j, 0, -1, 1 in increasing order. j, -1, 0, 1 Let a be -1 - 3*2/3. Suppose 29*w = 34*w + 180. Let g = -41 - w. Put a, -9, g in decreasing order. a, g, -9 Let n(b) = b**2 + 17*b + 38. Let v be n(-3). Sort v, 2, 3, 13 in decreasing order. 13, 3, 2, v Let h(z) = -z**3 + 10*z**2 - 10*z + 10. Let a be h(9). Let r = 8 - -6. Suppose -12*t + 8 = -r*t. Sort -5, a, t in decreasing order. a, t, -5 Let l be ((-2)/5)/(7/(-35)). Suppose -n + 4 = x, -3*x = l*n + 3*n - 30. Sort n, -3, 1, 2 in increasing order. -3, 1, 2, n Let k = 84 + -56. Let g = 28 - k. Suppose -4*z + g = -20. Sort -8, 1, z in descending order. z, 1, -8 Let z = 2.04 - 6.04. Put -0.1, z, 69 in increasing order. z, -0.1, 69 Let g = -65.942 + 66. Let p = 0.058 - g. Put 2/5, p, 2 in increasing order. p, 2/5, 2 Suppose 0 = t - 6*t + 35. Sort -2, -5, 0, t in decreasing order. t, 0, -2, -5 Let z(b) = b. Let m be z(6). Let j be (-27)/(-45) + (-4)/(-10). Let u be ((2 - -1) + -4)/j. Sort -2, m, u in ascending order. -2, u, m Let c(i) = i**3 + 11*i**2 + i + 16. Let r be c(-11). Let a(m) = 2*m**2 - m**2 - 3*m - r + 0*m**2. Let j be a(4). Put 2, j, -3 in ascending order. -3, j, 2 Let u = -109 - -92. Put u, -2, -3, 4 in ascending order. u, -3, -2, 4 Let y be 3/(-9)*3/4. Let i = 13.4 + -15. Let f = i + 1.4. Sort f, 2, y in ascending order. y, f, 2 Suppose m - 15 = -2*m. Suppose -2*t + 3*f - 3 = 0, 0 = -4*t - m*f + 5 - 0. Sort t, -4, 1 in descending order. 1, t, -4 Let s be (-16 + 2 + 16)*1. Let g = 109/288 + -5/32. Put 0, s, g, 1 in ascending order. 0, g, 1, s Suppose 2*c = -4*o, 5*c - 2*o - 24 = -0*c. Let h(r) = -4*r**2 - 29*r - 35. Let s be h(-6). Sort c, s, 0 in ascending order. s, 0, c Let x = -385 + 267.1. Let o = -118 - x. Put -2/23, o, -3, 0.3 in decreasing order. 0.3, -2/23, o, -3 Let b = 842 - 841. Sort -2, -49, 2, b in descending order. 2, b, -2, -49 Let q(i) be the second derivative of 5*i**3/6 - i**2 - i. Let x be q(-1). Let d be (x/14)/((-2)/4). Put -1, -3, d in decreasing order. d, -1, -3 Let x(c) = 9*c + 232. Let o be x(-25). Put 4/17, -0.1, o in ascending order. -0.1, 4/17, o Let i = -269 - -245. Sort 5, i, -2 in descending order. 5, -2, i Let f be (-10 - -18) + 32 + -5. Sort f, 2, -5. -5, 2, f Let q be (-1242)/(-1449)*1/3. Put q, -0.1, 0, 1/2 in descending order. 1/2, q, 0, -0.1 Let r be -2 + 6 + -3 - -5. Suppose r*d - 8 = 10. Let i be -2*(1 - d) - 5. Put 0, i, -2 in decreasing order. 0, i, -2 Let b = 5.1121 - 0.1121. Put -1, b, 16 in ascending order. -1, b, 16 Suppose 30 = 2*b + 3*b. Let z(j) = -j + 9. Let v be z(0). Suppose v*r + 10 = 11*r. Sort 1, b, r in ascending order. 1, r, b Let z = -20 - -16. Sort z, -3, 3 in ascending order. z, -3, 3 Let n be 2/10 + (-638)/(-110). Let f be ((-14)/n - (-2)/(-3)) + -1. Sort 7, f, 3 in descending order. 7, 3, f Let v = 3 + -3.5. Let k be (1/4)/((-5)/16). Let n = 62.6 - 63. Put n, k, v in decreasing order. n, v, k Suppose -4*s = 4*t - 20, -3*t = -s + 1 - 0. Suppose 2*p + 6 = -s. Sort 2, -1, p, 0 in decreasing order. 2, 0, -1, p Suppose -3*c + 4*c - 5 = 0. Let a be (6/18)/(3/90). Let t be ((-15)/a)/(-2 + (-5)/(-2)). Sort 4, c, t in descending order. c, 4, t Let o = 1080 - 1088. Sort 1/2, o, 0.6. o, 1/2, 0.6 Let x be (-238)/(-26) + -4*(-7)/(-182). Let g be (16/12)/((-3)/x). Put 4, g, 1/5 in ascending order. g, 1/5, 4 Let p be 6/12*2/3. Let b be 5/10 - (-63)/14 - 0. Sort p, -4/7, b, -3 in decreasing order. b, p, -4/7, -3 Let k = 0.5 + -0.3. Let w = -12720 + 12720. Sort -0.04, -3/5, w, k in descending order. k, w, -0.04, -3/5 Suppose 4 = 4*c + 2*v, 8 = -4*v - 0. Let p(w) = -3*w + 57. Let t be p(19). Sort c, t, -5 in ascending order. -5, t, c Suppose 5*i - 4*q - 17 = 18, 3*i = 3*q + 24. Let s = 2 - i. Suppose -1646*o = -1638*o - 32. Sort o, -2, s. -2, s, o Let c = 4.7 + -0.7. Let p = 8 - c. Let i = 0.52 + -0.42. Sort i, p, 1/2 in ascending order. i, 1/2, p Let d = 29 - 36. Let h = d - -3.5. Let a = h - -3.5. Sort -3/4, 0.02, a. -3/4, a, 0.02 Let k(p) = p**3 + 3*p**2 - 3*p + 5. Let c be k(-4). Suppose -72 = -14*m + 10*m. Let z be 6/m - (-14)/(-6). Put z, -3, c in increasing order. -3, z, c Let g(b) = -b**2 + 9*b + 22. Let z be g(11). Suppose -m - 3*x + 8 = 0, m + 5*x = 14 - z. Sort -5, -2, m, 2 in decreasing order. 2, m, -2, -5 Suppose 0 = -3*h + 9*h + 12. Let r be (-8)/36 - (-2)/9. Sort r, h, -3 in increasing order. -3, h, r Let d = 300 + -303. Put 5, 6, -4, d in descending order. 6, 5, d, -4 Let a(b) = -b**3 + 4*b**2 - b + 5. Let q be a(4). Let n be 12/(-10)*(-370)/(-111). Sort q, n, 6 in descending order. 6, q, n Let y = 39.5 + 12.3. Let t = -52 + y. Put t, 2, -1/6 in decreasing order. 2, -1/6, t Let y = -0.5 + 0.8. Let q = 0.766 + 0.114. Let z = q - 0.98. Put y, 1.3, z in increasing order. z, y, 1.3 Let o = -7 + 23. Suppose n - 3 = 5*q + 3*n, 4*q - o = 3*n. Let k(w) = -w. Let y be k(q). Sort y, -4, 3 in ascending order. -4, y, 3 Let k = -17 + 11. Let l(j) = j + 10. Let z be l(k). Let n be (-30)/(-24) + (-18)/8. Sort n, -2, z in descending order. z, n, -2 Suppose 0 = -5*f + 20, -23 = -5*h - 4*f + 2*f. Suppose 1 = 3*i - 8, 3*x + 5*i = 18. Sort -1, x, h, 12 in decreasing order. 12, h, x, -1 Let f be 9 + -12 + ((-1446)/705)/(-1). Let g = -7/47 - f. Sort g, 2, 0.01, -0.2 in decreasing order. 2, g, 0.01, -0.2 Let t = 0.1 - 0.8. Let h = -0.5 - t. Let r = -10712/21 - -510. Put r, -4, h in increasi
{ "pile_set_name": "DM Mathematics" }
h. -2 Suppose 0*g + 4*l = g + 11, 2*l = 3*g - 7. Suppose -5*b + 4 + 6 = -g*m, 30 = 5*b + 5*m. Solve 2*h + b*y = -0*h - 14, 5*h = -y - 8 for h. -1 Let u = -4 - -6. Suppose 2*b + 19 = 1. Let o be (-6)/(b/6*1). Solve 2*g = -o*p - 4, 2*p - u*g + 2 = -0 for p. -1 Suppose -2*v + 20 = -0*h + 4*h, h + 2 = 3*v. Solve 0 = -4*x + 20, x - 3 = h*l - 2*x for l. 3 Let v be (-69)/(-18) - 6/(-36). Suppose -3 = -3*s, -g - 2*g + 20 = 5*s. Suppose -g*b = 7 - 107. Solve -v*r = -0*r - 3*u + b, 2*r + 10 = 4*u for r. -5 Suppose -j - 3 = 4*a, 0 = 3*a + 1 + 5. Solve 4*w - 20 = b + b, w - j = -5*b for w. 5 Suppose 2 = -2*k - 4. Let i be k/((-9)/2 + 3). Solve 0 = -3*r - i*y - 4 - 2, 2*r - y = -11 for r. -4 Let l = -1 + 1. Suppose -4*v + 15 + 1 = l. Solve -v*a - 8 = 3*k + k, 3*a - 4*k - 1 = 0 for a. -1 Let q be (-2)/8 + 45/20. Suppose -2*n - 2 = q*k, 0*n + 2*n - 13 = k. Let b be (2 - -1)*n/6. Solve 0 = 4*d - 5*d - b*i - 1, d = i + 5 for d. 3 Let x = -7 + 9. Suppose 5*k = -v + 15, -x*v + 2 + 2 = -3*k. Suppose 3*c + 3*b = k*b + 51, c + b = 17. Solve -f + 0 - c = 5*u, -f = -3 for u. -4 Let y be (0/(-1) + -4)/(-2). Let m = 1 + 0. Let k = 1 + m. Solve -8 = c + k*b, 0*c + 4*c = y*b + 8 for c. 0 Let q(p) = -2*p - 12. Let u be q(-8). Solve 5*w + j + 3*j = 30, -u*j + 26 = 3*w for w. 2 Suppose 1 = m - 4. Let t be 1*6 + (m - 6). Suppose -y = 5*w - 46, -5*w + 7 = -t*y - 33. Solve s + a + 1 = 0, 2*s + s + a = -w for s. -4 Let c(p) = 3*p**2 + 15*p - 14. Let s be c(-6). Solve s*v = q + 3, 4*q - 2 = -v + 3 for v. 1 Let k = 20 - 11. Suppose 3*a - 3*m = 12, k + 11 = 5*a + 4*m. Solve -a*x + 3*t = -27, 0*x = 4*x - 4*t - 32 for x. 3 Let a be ((-5)/10)/((-2)/4). Let q(x) = x**2 + 5*x + 7. Let b be q(-5). Let o be b - (1 + a) - 1. Solve -o*m = 12, -5*p + p - 3*m = -3 for p. 3 Let u(g) = g**3 + 4*g**2 + 3*g + 2. Let x be u(-2). Solve 5*q = -2*s + x, -2*s - 1 = -5 for q. 0 Let v = 6 - 3. Solve -5*x + v*n = -8 - 23, 16 = 4*x + 2*n for x. 5 Let j(p) = -3 + 3 + p + 0. Let c be j(4). Suppose -2*r - 3*k + 14 = 0, -k = -c + 2. Solve -20 + 8 = 2*b - r*v, b + 10 = 3*v for b. 2 Let d(n) = 5*n**2. Let q be d(1). Suppose -2*w = 2*t - 6, -4*w - 2*t + 21 = q. Solve r - 5 = -3*x, 0 = w*x + 3*r + 2*r - 15 for x. 1 Let u be (-10 + 10)/((-4)/2). Solve -k + u*k = -3*f + 9, 2*f = 8 for k. 3 Let f = 4 - 1. Solve 0 = 4*t - 4, -f*d - 2*t = t + 12 for d. -5 Let r(a) be the second derivative of -a**3/2 + a**2/2 + 5*a. Let m be r(-1). Solve -2*u + 11 - 26 = -d, -4*d + m*u = -40 for d. 5 Let y(l) = 3*l - 4. Let i be y(5). Let z = 0 + i. Solve 3*d = -4*w + z, 0 = -3*d - d + 4 for w. 2 Let b(t) = 5*t**3 - 2*t - 4 + 7*t - 4*t**3 - 4*t**2. Let o be ((-6)/4)/(6/(-12)). Let g be b(o). Solve -3*n + 6 = 2*m, 3*n - 4*m - 4 - g = 0 for n. 2 Suppose 0 = -0*g - 4*g + 24. Let h be -1 - ((-2 - 0) + g). Let r = 5 + h. Solve 0 = 3*y - 5*y + 2*j + 4, -5*j - 5 = r for y. 1 Suppose 0 = 4*y - 7*y - 6. Let g be 5*y*1/(-2). Suppose -4*z - 5*u - g = -8*z, -z = 2*u + 2. Solve 0 = -3*s + 3, 0 = -h - 2*s + 1 - z for h. -1 Suppose -b + 3 = -7. Solve 2*q - i + 3*i - 2 = 0, -4*q - i = -b for q. 3 Let v(x) = -x + 15. Let g be v(13). Solve -5*m + 3*i = -7, 3*m - g*i - 4 = 1 for m. -1 Suppose 5*y + 2*i - 6 = -0*i, -5*i = -2*y + 14. Suppose -y + 14 = 5*t + 2*m, -4*t - 4*m = -12. Solve 3*a - 17 = -t*x - 1, 4*a = -2*x + 20 for x. 2 Suppose 4*i + 8 = -0. Let y be 4 + 2 + 1 + i. Solve -3*n + 5 = -4*o + 13, -2*n + y*o = 17 for n. 4 Let l(r) = 2*r**2 + 2*r - 6. Let s be l(-4). Let o be 130/18 - s/81. Solve 2*c = -4, -b + o*c + 7 = 2*c for b. -3 Let p be (-1 - -1)*(-1)/(-1). Let z(j) = 2*j + 20. Let h be z(7). Solve -5*i - h = -3*r, -5*r = -4*i - p*i - 35 for i. -5 Suppose -3*h - 2*d = -16, 0*d + 4*d = -16. Suppose -t - t = -h. Let p(o) = o + 18. Let w be p(0). Solve -3*i - t*y + 7 = 2, -5*i + 3*y = -w for i. 3 Let x = -91 + 127. Suppose 4*h + 9 + 9 = 5*i, 5*i = -5*h. Suppose i*n = -2*n + x. Solve -2*j + y - n = 0, 5*j = 2*y - 11 - 12 for j. -5 Let o(w) = -14*w**2 + 7*w + 20. Let j(r) = -5*r**2 + 2*r + 7. Let s(q) = -11*j(q) + 4*o(q). Let n be s(6). Solve 3*z + 8 = -v, z + 0 = n*v + 4 for z. -2 Let h = 36 - 35. Solve 2*q - h = b, -6*b + 2*q - 16 = -2*b for b. -5 Let v(r) = 18*r**3 - 2*r**2 + 3*r - 1. Let l be v(1). Solve -3*i - 5*b + l = 0, i - b = 4*i - 6 for i. 1 Suppose 3*l = 5 + 10. Suppose -19 = -k + q + 4*q, -l*q = 15. Suppose 0 = 2*x - y - 5, k*x + y - 8 = -1. Solve 0 = 3*v - 5*n + 23, x*n = -4*v + 4 for v. -1 Suppose -5*o - 4 = -19. Let m = 5 - 3. Suppose m*g - 84 = -0*g. Solve o*v + g = 5*h + 16, -5*v - 30 = -5*h for h. 4 Suppose 14*u = 9*u + 25. Suppose -3*m + 10 = -4*t + 2*m, -2*m + 4 = 2*t. Let h = 4 + t. Solve -h*f + 20 = 5*s, 0*f = 5*s - u*f - 20 for s. 4 Let l be (-6)/(-10) + 10/25. Let h be (l - -1) + -3 + 4. Suppose 4*s - 10 - 2 = -4*q, -4*s + 4*q + 4 = 0. Solve -4*p + 3*p = h*u - s, 2*u = -5*p + 23 for p. 5 Let g be 10/(-2)*4/(-10). Suppose 0 = x + 4*x. Suppose 2 = -x*m + 2*m, m + 19 = g*q. Solve 0 = 4*n - a - 9 - q, 2*n - 11 = a for n. 4 Let j = 123 - 120. Solve -j*y = 3*q - 18, -3*q - y = -0*y - 12 for q. 3 Suppose 0 = i - 2*i. Suppose i*t - 5*t = -55. Let j be (-4)/3*(-3 - 0). Solve -3*m = 4*x + t, m - 27 = 4*x - j for x. -5 Let v = 52 - 26. Solve 3*m = -n + 14, 5*m = -3*n - 4 + v for n. -1 Suppose 0 = -2*u + 4*h + 26, -2*u - 4 + 26 = -3*h. Suppose 2*t - u = -3*j - 0*j, 5 = t - j. Solve -3*s + s = 5*v - 14, -2*v - t = -4*s for s. 2 Let m(c) = c**3 + 9*c**2. Let j be m(-9). Solve -6 = 2*a - 2*n, j*a + 5*n - 15 = -5*a for a. 0 Let d be (-4)/(-4) - -2 - 8. Let g be -2 - d/(15/6). Solve g*f = -2*c + 2*f + 2, -2*c = 4*f - 20 for c. 4 Let c = 43 - 25. Suppose 2*j = 2*x + 12, -3*j = x - 0*x - c. Solve t + 2*h + 1 = -4, h = 3*t - j for t. 1 Suppose 5 + 16 = 3*m. Suppose z + 4*n - m = -1, -z + 2*n = 0. Solve -3*g + o = -3, 2*g - z*o + 2 - 4 = 0 for g. 1 Suppose 1 = 3*a - 2. Let x be a/(-1) - (-2 + 1). Solve 2*p + 3 = 5*z - 18, x = 3*p + z - 11 for p. 2 Let c(a) = -4*a - 12. Let n be c(-4). Solve -5 - n = -5*z + 4*g, -7 = -3*z + 2*g for z. 5 Suppose s - 4 = 2*s, -4*i + 4*s + 24 = 0. Solve -3*c = -k + 10, k - c - 6 = i*k for k. -2 Let p = 2 - -19. Suppose 0 = 2*g - 5*l + 4, g + 3*l = -4*g + p. Solve b - 23 = 5*z, 5*z - g*b + 8 = -7*b for z. -4 Let c be 2/14 - (-20)/7. Suppose m + 14 = c*m - 2*r, m + 13 = -3*r. Suppose 0*i - 8 = -m*i. Solve -i*f = -0*h + 2*h - 12, 5*f = -4*h + 21 for h. 4 Let z(a) be the first derivative of 2 + 5*a - 4*a**2 - 1/3*a**3. Let t be z(-7). Solve 0*q - t = 2*q - 2*f, -f + 4 = 0 for q. -2 Let l be 16/(-48) - 26/(-6). Solve 0*s = 5*s + 3*k - 21, 0 = -l*s + 3*k + 6 for s. 3 Suppose -8 = -5*c + 17. Let f = 72 + -8. Suppose -2*m = -6*m + f. Solve 3*v - c*i + m = -15, 2*v = -2*i + 6 for v. -2 Let d = -6 - -23. Suppose 4*v - d = -5*k + 14, 16 = 2*k - 2*v. Let p(n) = n**2 - 7*n + 8. Let q be p(k). Solve -2*c - s + 14 = 0, 0 = -s - s + q for c. 5 Suppose 8*t = 2*t. Solve 5*i - 3*q = t, 3*q + 8 + 10 = -i for i. -3 Let o(y) = -5*y - 37. Let b be o(-8). Solve -j - g + b = -7, 0 = 3*j + g - 20 for j. 5 Let n be (5 - 3)*3/2. Suppose -3*q = -4*a + 14 - 79, 4*q = -2*a + 72. Solve -5*z = 2*t - 2*z - q, n*t + 5*z = 30 for t. 5 Let n = -6 + 11. Let d(i) = i**2 - 4*i - 1. Let f be d(n). Solve -k - 4 = 0, f*p - 8 + 20 = k for p. -4 Let g(o) = 2*o**3 - 5*o**2 + 2*o + 2. Let s be g(3). Let t be 2/(-6)*(-11 + 2). Solve -s = -m - t*m + 3*c, 0 = -m + 5*c for m. 5 Let m = -1 - -1. Let x be m + (2 - 2) + 2. Suppose 2*c - 90 = -5*a - c, 10 = x*c. Solve -3*d = -b - 15, 8*b = -3*d + 3*b + a for d. 5 Let p be (3 + -2)/(1/9). Suppose -2*h = -i - h - 1, -5*h = -4*i - p. Solve -2*z = 2*x - i*x + 2, -4*x + 4 = 5*z for z. 0 Let q(c) = 3*c - 19. Let z be q(12). Solve -5*y - 2*m = -z, 3*y + 0*y + 4*m = 13 for y. 3 Let s(w) = 6*w**3 - 2*w + 1. Let c be s(1). Solve o = -3*o + 20, -c*o + 37 = 4*g for g. 3 Suppose 0 = -7*y + 2*y - 70. Let j be (-6)/(-21) - 108/y. Solve 0 = 5*m - 2*b - j, -m - 8 = 3*b + 4 for m. 0 Let v(q) = 3*q**3 + 4 - 2*q**2 + 0*q**3 + 4*q + 0*q - 4*q**3. Let d be -1*(6/(-1))/(-2). Let k be v(d). Solve 3*b - l = 12, -k = 2*b - 2*l - 13 for b. 3 Let q = 6 + -4. Let c = q - 1. Solve 0 = -4*j - x + c, 3*j - 3*x + 4 = x for j. 0 Let v(l) = -l. Let q(i) = 1. Let x(j) = -6*q(j) + v(j). Let r be x(-8). Let f(m) = -m + 4. Let w be f(0). Solve 5*h = -
{ "pile_set_name": "DM Mathematics" }
thout replacement from {o: 3, j: 1, z: 1, b: 3, v: 1, g: 2}? 3/55 What is prob of picking 2 n and 2 i when four letters picked without replacement from ynnninnnnninyyn? 3/91 Calculate prob of picking 1 i and 1 c when two letters picked without replacement from eci. 1/3 Four letters picked without replacement from {q: 1, z: 2, p: 2, v: 1, f: 1}. What is prob of picking 1 v, 2 z, and 1 f? 1/35 Two letters picked without replacement from {b: 2, f: 1, r: 1, d: 1, p: 2, v: 1}. What is prob of picking 1 b and 1 r? 1/14 Calculate prob of picking 2 x when two letters picked without replacement from txxxtttxxxxxxttxtttx. 11/38 What is prob of picking 1 w and 1 f when two letters picked without replacement from {m: 2, r: 2, w: 1, b: 1, j: 1, f: 1}? 1/28 Calculate prob of picking 2 u when two letters picked without replacement from {h: 3, u: 5}. 5/14 Calculate prob of picking 1 z, 2 m, and 1 h when four letters picked without replacement from hkzmbmzmmrzbmb. 30/1001 What is prob of picking 1 f, 1 w, 1 k, and 1 a when four letters picked without replacement from aaaayyakfayaafawkky? 9/646 Two letters picked without replacement from qcomycocceyo. Give prob of picking 1 c and 1 e. 2/33 Four letters picked without replacement from bzbzb. Give prob of picking 3 b and 1 z. 2/5 Two letters picked without replacement from {i: 1, c: 1, n: 2, f: 1, q: 1, p: 1}. What is prob of picking 1 f and 1 p? 1/21 Three letters picked without replacement from {u: 1, r: 2, n: 1, y: 3, e: 3, k: 1}. Give prob of picking 1 y, 1 r, and 1 e. 6/55 What is prob of picking 1 m, 1 l, and 2 d when four letters picked without replacement from ldddkddkrkdddkmmkdrl? 48/1615 Four letters picked without replacement from bcqbqcqqbi. What is prob of picking 2 b, 1 i, and 1 c? 1/35 Calculate prob of picking 1 i, 1 r, and 1 u when three letters picked without replacement from uiuruuhrrhririuhhhri. 2/19 Three letters picked without replacement from {t: 3, q: 5, l: 2, m: 2, j: 6}. Give prob of picking 1 t and 2 l. 1/272 Calculate prob of picking 1 r and 1 i when two letters picked without replacement from ddlddlissdsrsshls. 1/136 What is prob of picking 2 q when two letters picked without replacement from iqqiiiiiqiiqitiiiq? 10/153 Two letters picked without replacement from {n: 2, y: 1, l: 1, o: 2, b: 1, i: 2}. Give prob of picking 2 n. 1/36 Calculate prob of picking 1 a and 3 z when four letters picked without replacement from jzazz. 1/5 Four letters picked without replacement from {g: 1, e: 3, i: 5}. What is prob of picking 4 i? 5/126 Calculate prob of picking 1 y and 1 w when two letters picked without replacement from myymywy. 4/21 Two letters picked without replacement from ubcugbgbbxbggxb. Give prob of picking 1 g and 1 x. 8/105 What is prob of picking 3 n when three letters picked without replacement from ttnntntttnt? 4/165 Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {m: 1, p: 2, u: 1, s: 1, v: 2}. 2/21 Four letters picked without replacement from {h: 7, w: 7}. What is prob of picking 2 w and 2 h? 63/143 Two letters picked without replacement from pdpppdpppppdppp. What is prob of picking 1 p and 1 d? 12/35 Four letters picked without replacement from aupupupgpu. What is prob of picking 1 a and 3 u? 2/105 Calculate prob of picking 1 z, 1 l, and 2 u when four letters picked without replacement from {l: 3, z: 4, t: 1, u: 1, j: 4, i: 1}. 0 What is prob of picking 2 y and 1 l when three letters picked without replacement from {y: 2, l: 2, a: 4, e: 1, w: 1, g: 2}? 1/110 Calculate prob of picking 4 y when four letters picked without replacement from {m: 1, r: 6, t: 4, y: 2, e: 2}. 0 Three letters picked without replacement from {o: 6, y: 2, a: 10}. Give prob of picking 1 y and 2 o. 5/136 What is prob of picking 1 l and 1 v when two letters picked without replacement from vlaalaaal? 1/12 What is prob of picking 1 p and 1 q when two letters picked without replacement from {p: 1, i: 2, q: 1, j: 1}? 1/10 Three letters picked without replacement from {t: 2, d: 2, s: 2}. Give prob of picking 2 t and 1 s. 1/10 What is prob of picking 2 w when two letters picked without replacement from ksrdwwh? 1/21 Four letters picked without replacement from pnbauupbsbbbabbup. What is prob of picking 1 n, 1 b, and 2 u? 3/340 What is prob of picking 4 k when four letters picked without replacement from {b: 8, z: 5, k: 7}? 7/969 What is prob of picking 2 m and 1 c when three letters picked without replacement from xcxcmxmxcdxiccxmc? 9/340 Three letters picked without replacement from lpfljjfjfejlpf. What is prob of picking 1 e and 2 j? 3/182 Two letters picked without replacement from wkoinou. Give prob of picking 1 o and 1 w. 2/21 Two letters picked without replacement from {l: 1, t: 2, w: 1, j: 2, i: 1}. What is prob of picking 1 t and 1 l? 2/21 What is prob of picking 3 c and 1 w when four letters picked without replacement from {c: 4, w: 7}? 14/165 Four letters picked without replacement from dddjdjjfejj. Give prob of picking 1 d, 1 e, and 2 j. 4/33 What is prob of picking 1 q, 1 r, 1 v, and 1 l when four letters picked without replacement from {q: 1, l: 1, v: 1, a: 1, r: 1}? 1/5 Calculate prob of picking 1 o, 1 x, and 1 a when three letters picked without replacement from {a: 6, e: 2, z: 1, x: 5, o: 1, h: 2}. 3/68 Two letters picked without replacement from {h: 7, r: 1, x: 1, q: 3}. Give prob of picking 1 x and 1 r. 1/66 Three letters picked without replacement from {x: 2, k: 1, m: 2, s: 1}. Give prob of picking 2 x and 1 s. 1/20 Four letters picked without replacement from {z: 5, y: 2}. What is prob of picking 3 z and 1 y? 4/7 Three letters picked without replacement from {j: 9, v: 5, o: 1, y: 5}. Give prob of picking 2 o and 1 y. 0 What is prob of picking 1 e and 1 t when two letters picked without replacement from {r: 2, d: 3, t: 2, e: 1, w: 6}? 2/91 Two letters picked without replacement from rhhrrrhhrhhhh. Give prob of picking 1 r and 1 h. 20/39 Two letters picked without replacement from {m: 2, q: 5, d: 3}. What is prob of picking 2 d? 1/15 What is prob of picking 1 m and 3 a when four letters picked without replacement from ooihaihhoxmaa? 1/715 Two letters picked without replacement from {h: 1, l: 1, i: 2, v: 1, e: 1, r: 2}. What is prob of picking 1 e and 1 l? 1/28 Two letters picked without replacement from {x: 9, d: 2, e: 8}. What is prob of picking 1 d and 1 e? 16/171 Calculate prob of picking 3 a when three letters picked without replacement from {a: 7, c: 3}. 7/24 Three letters picked without replacement from kkokgggkoggkk. What is prob of picking 1 o and 2 k? 15/143 Calculate prob of picking 1 h, 1 t, and 2 x when four letters picked without replacement from yhxttqyxyyqhxx. 24/1001 Calculate prob of picking 4 b when four letters picked without replacement from bbkbbbbbkbkkbk. 18/143 Three letters picked without replacement from {w: 13, q: 5}. Give prob of picking 3 q. 5/408 Two letters picked without replacement from yjojvyy. What is prob of picking 1 v and 1 j? 2/21 Three letters picked without replacement from {h: 4, l: 1, u: 1, i: 3, d: 4, f: 1}. What is prob of picking 1 u, 1 h, and 1 l? 1/91 What is prob of picking 3 u when three letters picked without replacement from cuuccnuc? 1/56 Three letters picked without replacement from {w: 3, v: 4, s: 2}. What is prob of picking 2 v and 1 s? 1/7 What is prob of picking 1 t and 1 l when two letters picked without replacement from {d: 2, v: 2, l: 1, t: 2, w: 1, n: 1}? 1/18 Three letters picked without replacement from {j: 1, a: 2, e: 1}. Give prob of picking 1 j, 1 e, and 1 a. 1/2 What is prob of picking 2 p when two letters picked without replacement from pjjjhhphjjhjjp? 3/91 Calculate prob of picking 3 h and 1 a when four letters picked without replacement from {p: 1, q: 1, l: 3, h: 7, a: 1}. 7/143 Two letters picked without replacement from {g: 5, x: 3, i: 5}. Give prob of picking 2 x. 1/26 What is prob of picking 2 t when two letters picked without replacement from ntt? 1/3 Calculate prob of picking 2 z, 1 w, and 1 i when four letters picked without replacement from izirizwmzir. 2/55 Calculate prob of picking 4 c when four letters picked without replacement from occoooooooocccoooo. 1/612 Two letters pick
{ "pile_set_name": "DM Mathematics" }
4473935? 3 What is the hundred thousands digit of 88596045? 5 What is the tens digit of 1425499418? 1 What is the units digit of 109507930? 0 What is the thousands digit of 2226747? 6 What is the tens digit of 609083762? 6 What is the ten thousands digit of 5740427976? 2 What is the tens digit of 5160643010? 1 What is the ten millions digit of 5175638243? 7 What is the millions digit of 9823300? 9 What is the millions digit of 15160170? 5 What is the tens digit of 146437028? 2 What is the hundreds digit of 37326235? 2 What is the hundred thousands digit of 441603718? 6 What is the tens digit of 166686651? 5 What is the hundreds digit of 94130832? 8 What is the hundreds digit of 12529747? 7 What is the hundreds digit of 944352735? 7 What is the thousands digit of 5884260426? 0 What is the hundred thousands digit of 708930730? 9 What is the millions digit of 258041023? 8 What is the thousands digit of 168079955? 9 What is the hundreds digit of 4854422980? 9 What is the millions digit of 260168354? 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{ "pile_set_name": "DM Mathematics" }
-4, o in ascending order. -4, o, l Let j = -3/134 - -319/2278. Let d = j - 44/85. Let f = -0.1 - 0.9. Sort d, -1/2, f in descending order. d, -1/2, f Let b be -3*2/(2/1). Suppose -3*r + 3 = -3*g, -13 + 6 = -3*r + 2*g. Sort 2, r, b in descending order. r, 2, b Let s = 1 + 1. Let v = 0.6 - 0.6. Let q = 0 - v. Sort s, 0.4, q in increasing order. q, 0.4, s Let i = -13/80 - -1/16. Let k(m) = m**2 - 14*m - 48. Let s be k(17). Let o = -2/21 - -25/42. Sort o, s, i in decreasing order. s, o, i Let m = -8 + -66. Let y = m + 293/4. Put -2, 5, y in increasing order. -2, y, 5 Let s = 41 - 43. Let h(d) = 12*d**2 + 14*d + 17. Let w(b) = -4*b**2 - 5*b - 6. Let a(u) = -6*h(u) - 17*w(u). Let y be a(1). Sort y, -2/5, s in decreasing order. -2/5, s, y Let v = -7 + 2. Put v, 0.1, 1/13 in decreasing order. 0.1, 1/13, v Let d = 8 + -7.8. Sort d, -1/3, -3 in descending order. d, -1/3, -3 Let x = 1 + 1. Let s(i) = -2*i - 8. Let a be s(-7). Let r = a + -1. Put x, r, -5 in descending order. r, x, -5 Suppose 65 - 352 = -7*b. Sort -5, b, 4 in increasing order. -5, 4, b Let k be 2*(1/4)/(23/46). Sort k, -5, -4, -11. -11, -5, -4, k Let o be -1*(4 + -1)/(-12). Sort o, -3, -2 in ascending order. -3, -2, o Let l be 41/132 + 8/(-32). Put 2/21, l, 2/9 in increasing order. l, 2/21, 2/9 Let x be (8/(-3))/((-4)/126). Let k = x - 254/3. Put 4/9, 0.3, k in decreasing order. 4/9, 0.3, k Let d = 3 + -2. Let y = 5 - d. Let q = -1.7 - -2. Sort q, y, 0.5. q, 0.5, y Let l = 54 - 55. Sort l, -5, 1/4, 0.1. -5, l, 0.1, 1/4 Suppose -4*y + 42 - 10 = 0. Suppose -6*f + 20 = -f. Suppose 4*w - y = f. Put -4/3, 0, w in descending order. w, 0, -4/3 Let x be (4/8)/(1/(-2)). Let i(h) = 2*h - 7. Let t(w) = -w + 3. Let r(j) = 2*i(j) + 5*t(j). Let b be r(x). Sort 5, b, 3 in decreasing order. 5, 3, b Let g be (4/10)/(11/5). Let m be (-128)/2*(1 + 0). Let v = 257/4 + m. Sort v, 3, g. g, v, 3 Suppose -4*f + 7 = -1. Suppose -5*v = 1 - 6. Sort f, v, -2. -2, v, f Let r = -10 - -6. Suppose 4 + 28 = 8*d. Sort r, -1, d. r, -1, d Suppose -77 = -4*l + a - 4*a, 4*l - 76 = -4*a. Suppose 5*y + l = -g, 5*g + 5*y - y + 37 = 0. Put -1, g, 2 in ascending order. g, -1, 2 Let o(c) = -c + 2. Let h be o(0). Suppose 0 = h*z - 0*z + 8. Let i = 0 + -2. Sort 5, i, z. z, i, 5 Let n be 35/(-10) + (-2)/4. Sort -5, n, -3 in ascending order. -5, n, -3 Suppose -3 = -6*r - 9. Put -3, r, -5, -7 in ascending order. -7, -5, -3, r Let f(b) = -b**3 + 4*b + 3. Let d be f(-2). Suppose -11 + d = -4*h. Let v be (4/(-2))/(1/h). Sort -1, -5, v in increasing order. -5, v, -1 Let z = 5 - -19. Let t be (-3)/2*z/(-18). Suppose 0 = t*w + 3*w + 5. Sort 4, w, 3 in decreasing order. 4, 3, w Let n = 14 - 10. Let j(q) = 2*q + 12. Let i be j(-5). Sort n, i, -1 in decreasing order. n, i, -1 Let f(o) = o**3 - 4*o**2 + 5*o - 3. Let n be f(3). Sort -5, -4, n in decreasing order. n, -4, -5 Let l be (-13)/(-91) - (-86)/(-14). Let y be 7 - (7 - l/(-2)). Suppose 3 = -5*t - 17. Sort y, t, -1. t, -1, y Suppose -14*h + 13*h + 3 = 0. Put h, -3, -1, -5 in increasing order. -5, -3, -1, h Let k(w) = -6*w - 7. Let m be k(-3). Put 0, 3, m in descending order. m, 3, 0 Let y = -100 - -100. Sort -2/21, 3, y, -2 in increasing order. -2, -2/21, y, 3 Suppose -2*d = l - 1, 2*d + 5 = 4*l - 3*l. Let w be l*-1*(-16)/(-24). Let x(k) = k**2 - 5*k + 2. Let q be x(3). Sort w, q, 1 in decreasing order. 1, w, q Let t(q) be the first derivative of -q**2/2 - 3*q + 3. Let o be t(-6). Suppose -5*y + o*u = -32, 4*y - 3*u - 25 - 3 = 0. Sort -4, y, 5 in ascending order. -4, y, 5 Suppose v + 0*v = -j - 12, 5*v - 2*j + 25 = 0. Put 0.1, v, -0.3 in descending order. 0.1, -0.3, v Let l = 2.5 - 0.5. Let a = 4.7 + -4. Let f = a - 0.6. Sort f, -4/5, l in decreasing order. l, f, -4/5 Let f be ((-8)/5)/(10/25). Let v = 1 - 6. Put v, 3, f in decreasing order. 3, f, v Let z be (3/(-10))/(21/28). Put -1.5, -2/3, z in ascending order. -1.5, -2/3, z Let s = -0.05 - -0.05. Let p = -0.2 + s. Sort 3, -1, p in decreasing order. 3, p, -1 Let l = -264 - -1851/7. Let n be 6/3 + 754/(-322). Let a = l + n. Sort -4, -1/7, a in ascending order. -4, -1/7, a Let c = -18 - -14. Sort -0.1, -2, c in increasing order. c, -2, -0.1 Let k = -4 - -4. Suppose y + k*y = 5. Sort y, 0.1, -2/3 in decreasing order. y, 0.1, -2/3 Suppose 6 = -s + 4*s. Let h be (3/s)/((-12)/32). Put -1, h, 3 in increasing order. h, -1, 3 Let t be 5 - (-3 - -4) - 3. Sort 0, 6, t, -3. -3, 0, t, 6 Let n = 7 + -5. Suppose -n*p = -0*p - 2. Suppose 5*y = -2 - 8, q - y + 1 = 0. Sort p, q, 2 in increasing order. q, p, 2 Let c = -3.91 + -0.09. Let u = -169 + 168. Sort c, -1/4, u in decreasing order. -1/4, u, c Let f = -0.47 + 0.9. Sort -5/6, -0.5, f in descending order. f, -0.5, -5/6 Let j = 0.037 - 0.137. Sort -0.09, j, -5. -5, j, -0.09 Let k be ((-6)/(-8))/(12/8). Put 7, -5/2, k in descending order. 7, k, -5/2 Let g(d) = d + 10. Let i be g(-14). Put 3, i, 2, -3 in descending order. 3, 2, -3, i Let t be (-2)/3 + 136/24. Put 1, t, -4 in ascending order. -4, 1, t Let s = 37 - 19. Suppose 0 = u - 1, -4*u = 4*h - 2*u - s. Put 2, -2, h in descending order. h, 2, -2 Let h be 3/7 + 40/(-175). Put h, -0.5, -0.4 in descending order. h, -0.4, -0.5 Let u = 88 + -56. Let w = u + -27. Let r = 0.8 + 0.2. Put r, w, 4/5 in descending order. w, r, 4/5 Let h = -43 + 45. Suppose -4*v + 5 = v. Suppose 3*j - v = -13. Put 5, j, h in descending order. 5, h, j Let s(p) = -p - 8. Let w be s(-3). Let n = 2 + -2. Let g(b) = b**3 + b + 1. Let f be g(n). Sort -1, f, w in descending order. f, -1, w Let y be 3 - 2/(2/(-25)). Suppose 0 = -3*t - 4*o - 16 - 12, -2*t = 5*o + y. Put 5, -5, t in increasing order. -5, t, 5 Let z(g) = 2*g + 24. Let j be z(-11). Let t(n) = -n**3 + 7*n**2 - 7*n + 2. Let b be t(6). Sort 5, j, b in increasing order. b, j, 5 Let j(o) = o**3 - 22*o**2 + 21*o + 4. Let c be j(21). Put c, 2/7, -39, 2 in descending order. c, 2, 2/7, -39 Let o be ((-2)/10)/(2/126). Let d = -431/35 - o. Let y = -10.6 + 13.6. Put 5, d, y in ascending order. d, y, 5 Let i(f) = f**3 - 8*f**2 - 3*f + 22. Let m be i(8). Put 3/7, 3, m in descending order. 3, 3/7, m Let n(z) = z**3 + 15*z**2 - 5. Let o be n(-15). Put o, 3, 2 in decreasing order. 3, 2, o Let t(b) = -b**3 - 2*b**2 + b. Let y be t(1). Let j be y/(-4) + (-28)/8. Let k = 3 - 4. Put j, k, -4 in ascending order. -4, j, k Let k(w) = -w**2 + 2*w - 3. Let j be k(3). Let m = j + 3. Sort -2, m, -4 in ascending order. -4, m, -2 Suppose 0 = -2*w - 27 - 9. Let n be w/(-21)*(-1)/(-2). Let a = 3 - 3.5. Sort a, -3, n in descending order. n, a, -3 Let t = -82 - -84. Suppose -18 + 6 = -3*v. Put t, v, -2/5 in ascending order. -2/5, t, v Let m = -1 + 0.9. Let i = m - -0.6. Suppose 4*l = -7 - 1. Sort 0.4, l, i in decreasing order. i, 0.4, l Suppose -4*g - 18 = -2*s, 2*g = -2*s + 7*g + 20. Let m = 8 - s. Sort 4, m, 5 in descending order. 5, 4, m Let g(f) = -f - f**2 - 2*f + 0*f**2 + 3 - 5*f. Let r be g(-8). Sort -4, -2, r in ascending order. -4, -2, r Let z = 0.28 - 0.3. Let w = z + -2.98. Suppose -4*p + 12 = -0*b - 2*b, 0 = 3*p + 3*b. Put -1, p, w in ascending order. w, -1, p Suppose -6 = 3*k - 5*k. Sort 0, k, 4 in increasing order. 0, k, 4 Let g be (-2)/3*-3 + -3. Let y be -2 - g - 2 - -1. Let b(j) = -2*j + 3. Let f be b(4). Sort y, 0, f in increasing order. f, y, 0 Suppose -5*q = s + 3*s + 19, -5*q + 3*s - 12 = 0. Let z = -1.5 + 1. Sort q, -1, z in decreasing order. z, -1, q Let t be 26/14 - 2/(-14). Put -2, t, 0 in descending order. t, 0, -2 Suppose -26*d + 14 = -19*d. Put -2, d, -5 in decreasing order. d, -2, -5 Let r = -16 - -14. Let o = 4.02 + -0.02. Sort r, o, 0.3 in ascending order. r, 0.3, o Suppose -11 = -4*l + 1. Suppose 0 = -4*g + l*g - 3. Sort 5, -5, g in descending order. 5, g, -5 Suppose -2*x + 2 = 10. Sort 4, x, -7. -7, x, 4 Let c = -6 + 11. Let x = -57.8 + 53. Let u = x + 0.8. Sort u, -5, c in decreasing order. c, u, -5 Suppose -b + 6*b - 10 = 0. Let p be 0/((-2)/4*b). Suppose p*x + 1 = x. Sort x, -3, -4 in descending order. x, -3, -4 Let c = 3 - 5. Put 3, c, 0 in decreasing order. 3, 0, c Let d = 3 - 6. Let n be 15 - (1 - (-2 - -2)). Let g = 13 - n. Sort d, g, -2 in increasing order. d, -2, g Let v = -22 + 21. Let a = -2 - v. Put -0.5, -2, a in increasing order. -2, a, -0.5 Let m be 14/2 + -5 + 5. Let n(q) = -q**3 + 7*q**2 - q + 5. Let x be
{ "pile_set_name": "DM Mathematics" }
l**4 - 3*l**4 + 2*l**4 as k*l + z*l**3 + f*l**4 + g + d*l**2 and give d. 2 Express ((2 + 0 + 0)*(2*n + 2*n - 2*n) + 0*n - 3*n + n - n - 1 + 1)*(-2*n - n - n) in the form h*n**2 + r + y*n and give h. -4 Express -17*g + 6*g - 202 + 21*g - 13*g as r*g + f and give r. -3 Express 2*n - 2*n + 2*n - 3*n + 0*n + 5*n + (168 + 132 - 24)*(n - 3*n + 0*n) + (-4*n + n + 2*n)*(2 - 1 + 0) as i + m*n and give m. -549 Rearrange (-3*r + 0*r + 0*r)*(39*r + 129*r - 285*r - 486*r - 926*r) to t + h*r + l*r**2 and give l. 4587 Express -3*o - 2*o + 6 + 237*o**2 - 6 + 6*o in the form g + y*o**2 + l*o and give l. 1 Rearrange -41 - 207*n**3 - 217*n**3 + 421*n**3 - n**2 to the form i*n**2 + w*n + y*n**3 + f and give y. -3 Express (-3*q + 2*q + 2*q + (2 + 2 - 2)*(-q - q + q))*(3 - 3 + q) + 83*q - 83*q + 158*q**2 in the form j + v*q**2 + i*q and give v. 157 Rearrange (-283*y - 222*y + 334*y)*(2 + 2*y**2 - 2) to p + h*y + j*y**3 + f*y**2 and give j. -342 Express 0*w + 6 + 15*w - w - 8 + 23 in the form c*w + t and give t. 21 Rearrange 11474*m**4 + 0*m**2 - 2*m**2 - 11486*m**4 + (-5*m**3 + 5*m**3 + m**4)*(2 - 1 - 3) to a + v*m**4 + r*m**3 + z*m**2 + o*m and give z. -2 Express 649 - 1295 + 646 - 1292*b in the form s + y*b and give y. -1292 Rearrange ((0*m + 2*m - 3*m)*(-1 + 2 + 0) + 2*m - 4*m + m + 3*m - m - m)*(-9 - 11 + 7) + (2 + 3 - 3)*(-6 - 4*m + 6)*(6 - 4 + 0) to the form v + w*m and give w. -3 Rearrange -730*q**3 - 4 + 4 - 4 + 739*q**3 to h*q**2 + c*q + u*q**3 + m and give m. -4 Express 2*q**2 + 13*q - 3*q**3 - 5*q + 1 - q + q**4 - 5*q in the form z*q + o*q**3 + d*q**2 + i + n*q**4 and give z. 2 Express (-2*a + 2*a + a)*(778 - 44 - 1057 - 546 - 1292) as i + g*a and give g. -2161 Rearrange (-496*m - 209*m + 96*m + 33*m - 590*m)*(0 + 0 - m) to the form o*m**2 + b*m + z and give o. 1166 Rearrange -79*g**4 + 105*g**4 - 1 + 33*g**4 + 33*g**4 - g**2 to the form r*g**2 + v + p*g**4 + f*g + s*g**3 and give p. 92 Express 31*y + 34*y - 2 - 9*y + 6*y as a + j*y and give j. 62 Rearrange 2*n**3 - 7*n + 2*n + n**2 + 55 - 57 to the form v + a*n**3 + h*n**2 + w*n and give w. -5 Express 195*k**2 - 46*k - 394*k**2 + 194*k**2 as z + v*k**2 + j*k and give v. -5 Rearrange (3 - 1 + 0)*(-3*b**3 + 3*b**3 - 3*b**3) + (-3*b + 3*b + 2*b**2)*(-2 + 2 + b) - 12*b + 12*b + 2*b**3 to the form w + u*b + g*b**3 + z*b**2 and give g. -2 Express -322 + 281*i + 322 in the form k + s*i and give s. 281 Rearrange 6*b + 15 - 5 - 7 + 19 to the form c*b + i and give c. 6 Rearrange -15*c**3 - 6*c**4 + 8*c**2 - 17*c**3 + 2 + 4*c**4 + 0*c**4 + 39*c**3 to the form m*c**4 + z*c**2 + l + o*c**3 + r*c and give m. -2 Express -2*d**4 + d - 82*d**2 - 71*d**2 + 1 - 7*d**3 + 151*d**2 in the form q*d**2 + a + r*d**4 + g*d**3 + m*d and give g. -7 Rearrange -360*b - 509*b + 103*b to g + s*b and give s. -766 Express 18 - 4*l**2 - 149*l + 149*l in the form q*l + b*l**2 + w and give w. 18 Express 7 - 51*f**2 - 2 + 47*f**2 - 5 - 32*f as w*f**2 + k + g*f and give g. -32 Express -196*r - 249*r + 69*r as c*r + d and give d. 0 Rearrange (3 - 3 + 5*k)*(-11 - 5 - 11)*((-3 + 1 + 3)*(-1 + 4 - 2) - 2 - 1 + 1) to the form v + y*k and give y. 135 Express 56*p**3 + 89*p**3 + 31 - 11 - 12 - 10 - p**4 in the form s*p**4 + t*p**2 + j*p + a*p**3 + g and give s. -1 Express -64*p**2 + 2 + 62*p**2 + 8*p - 4 in the form a + l*p**2 + t*p and give l. -2 Rearrange -2*b - b + 2*b + (-2 + 2 + 2*b)*(-2 + 2 + 1) - b + 3*b - b - 2*b + b + 3*b - 89*b + 232*b - 102*b to the form x*b + z and give x. 45 Rearrange (0*x + 2*x**2 + 0*x)*(0*x**2 - 3*x**2 + x**2) + 4152 - 4152 - 438*x**4 to the form t*x + l*x**4 + y*x**2 + r + n*x**3 and give l. -442 Express (-184 + 2495 + 531 - 786)*(u + 1 - 2*u**4 - 1) as w*u**3 + v*u**2 + x*u**4 + n + a*u and give a. 2056 Rearrange (-4*v + v + v)*(v - 2*v - v) + 0*v**2 + 2*v**2 + v**2 - 16*v - v**2 - 10*v**2 + 15*v to the form n*v + f + s*v**2 and give s. -4 Rearrange 1 + 1638*g**3 - 21*g**4 - 820*g**3 - 797*g**3 to the form l*g**4 + u*g + q*g**3 + v + a*g**2 and give q. 21 Rearrange (138*v**2 - 2511 - 13*v**2 + 2508)*(1 - v**2 - 2 + 5*v + 0) to the form d*v + a + t*v**3 + b*v**4 + o*v**2 and give b. -125 Rearrange (-2*u + u + 0*u)*(-u - 5*u + 4*u) - 16*u**2 - 18*u**2 + 9*u**2 - 4*u**2 - 1 + 3*u**2 + 3*u**2 to the form d + n*u**2 + s*u and give s. 0 Rearrange x**2 + 28*x**4 + 9 + 650*x - 2*x**3 - 654*x - 7 to the form i*x**4 + c*x**2 + f*x + q + n*x**3 and give i. 28 Express -2*z + 4*z**2 - z**2 + 10 + 13*z**3 - 3*z**2 - 8 as s*z**2 + t*z + g*z**3 + l and give t. -2 Express 161*a**2 + 78*a**2 - 35*a**2 as o + i*a + x*a**2 and give x. 204 Express (-121 + 12*w - 6*w - 7*w)*(2*w + 2 - 2) as f + r*w + b*w**2 and give r. -242 Rearrange 2*h + 208 - 68 - 4*h to the form y*h + q and give q. 140 Express 469*b**2 + 347*b**2 + 26*b**2 + 721*b**2 + 207*b**2 in the form j + l*b**2 + n*b and give l. 1770 Express (-34*z + 21*z**2 + 34*z)*((-z + 0 + 0)*(-2 + 5 - 2) - 4*z + 3*z + 9*z) in the form m*z**3 + u*z**2 + r + d*z and give m. 147 Express -17*f**2 + 7*f**2 + 8*f**2 + 11*f in the form q + w*f + s*f**2 and give w. 11 Rearrange 86*f + 84*f + 82*f - 251*f + 147 to the form a*f + u and give a. 1 Express 10*k + 6*k - 6*k + 4*k as p*k + y and give p. 14 Express 5*i + 4*i + 845*i**3 - 846*i**3 - 5*i - 3*i + 13*i**4 as z*i**2 + y + m*i + o*i**3 + l*i**4 and give l. 13 Express (-2 - 4 + 2)*(5*c + 3*c - c + (-2*c + 2*c - 2*c)*(23 + 0 - 10)) as h*c + u and give h. 76 Express 2 - 2 + 19*b**2 + 1 - 21*b**2 - 83*b - 24*b as i + y*b + g*b**2 and give g. -2 Rearrange 40*a + 2*a**3 - 6*a**2 - 3*a**3 - 17*a - 1 - 15*a to the form k + l*a**3 + i*a + j*a**2 and give l. -1 Rearrange (-110*v**2 - 23*v**2 - 49*v**2)*(-v + 1 + 0 + 15*v**2 - 16*v**2) to the form b*v**2 + a + n*v**4 + h*v + g*v**3 and give g. 182 Rearrange (0 + 0 + 1)*(0 - 4 + 2)*(412*y**2 - 813*y**2 + 407*y**2) to i*y**2 + v + r*y and give v. 0 Express -3 - 8 - 4*d**3 - 1113*d**2 + 1116*d**2 + 2*d in the form g + r*d + s*d**3 + f*d**2 and give g. -11 Rearrange -39*o - 49*o + 153*o - 38*o - 61*o + 6 to the form k*o + x and give x. 6 Rearrange -264*f + 2418 - 2418 to k*f + r and give k. -264 Rearrange (-2*i + 3*i + i)*(-4 - 1 + 9) + 2*i + 2*i - 6*i to the form r + j*i and give j. 6 Express 9*f**2 - 40*f**2 - 157 + 18*f**2 + 11*f**2 as u*f**2 + s + n*f and give u. -2 Rearrange 2 - 18*d - 46*d**2 + 19*d + 133*d**2 + 53*d**2 to r*d + u*d**2 + o and give r. 1 Express (-5 + 2 + 2)*(-1 - 3 + 5)*(n + 2*n + n) - 2 + 2 - 2*n + (-2 + 0 + 0)*(-3*n - n + 2*n) in the form u*n + t and give u. -2 Rearrange (3*c - 5*c - 3*c)*(24 - 24 - 5*c)*(-3 - 2*c + 3)*(-c + c - 4*c) to f*c**4 + a*c**2 + t*c**3 + x + m*c and give f. 200 Rearrange (2*v**2 + 4*v**2 - v**2)*(10*v**2 + 3*v**2 - 11*v**2 + 3*v**2 + 1) to the form b*v**3 + g*v**2 + p*v**4 + u*v + j and give p. 25 Rearrange -41 + 11*y**2 + 19 + y - 4*y**2 + 23 to the form s*y + f + h*y**2 and give f. 1 Rearrange (-3*d**2 + d**2 + 3*d**2)*(2 - 9*d - 2) - 37*d**3 + 17*d**3 + 17*d**3 to the form b*d**2 + w*d**3 + k + m*d and give w. -12 Express 0 + 1 + 304*h - 326*h - 3 as b + t*h and give b. -2 Express 548*b**2 + 316*b**2 + 660*b**2 + 327*b**2 - 112*b**2 in the form f*b**2 + x*b + u and give f. 1739 Rearrange (4 + 3 - 5)*((-1 + 5 - 1)*(4*d + 0*d - 3*d) + 9*d + 4*d + 7*d + (3 + 0 - 2)*(2*d + 1 - 1)) to u*d + b and give b. 0 Rearrange 19*a + a**2 + 13*a - 5*a**2 - a**2 - 17*a to the form j + i*a + d*a**2 and give i. 15 Express -10 + 20 - 120*m - 8 in the form n + l*m and give l. -120 Express (-8*d + 0*d + 10*d)*(11 - 11 + 4*d) in the form f + w*d**2 + k*d and give w. 8 Rearrange -2 + 2 + g**2 + (5*g - 5*g + 2*g**2)*(-6 + 0 + 4) - 1 - 2*g**2 + 1 + g**2 - 360 - 1040 - 804 to s*g + b + t*g**2 and give t. -4 Express (3 - h - 3)*(-2 - h + 2)*(-3 + 5 + 1)*(6 + 1 + 3)*(-8*h - 2*h + 3*h) in the form l*h**3 + v*h + r*h**2 + c and give l. -210 Rearrange -4*u + 4 - 4 + (6 - 25 - 5)*(-1 + 6*u + 1) to d*u + j and give d. -148 Rearrange 2*f**2 - 120 + 25*f - 25*f - 218 to the form p*f**2 + d*f + b and give b. -338 Rearrange -4 - 3*r + 59 - 26 to the form g*r + m and give m. 29 Rearrange (-2*y**3 - 7 + 7)*(1 - 1 - 2) + 2*y**3 - 38*y**3 - 26*y**3 to d + j*y**3 + c*y + m*y**2 and give m. 0 Rearrange 5072*k**2 - 5071*k**2 - 107 + 8 to u*k**2 + f + w*k and give u. 1 Express 43*d - 4412 + 4412
{ "pile_set_name": "DM Mathematics" }
without replacement from {c: 2, a: 1, v: 1, g: 2, y: 1, w: 1}. Give prob of picking 1 y, 1 v, 1 g, and 1 w. 1/35 Four letters picked without replacement from mbffbmfbbbbfbbbfmmbf. What is prob of picking 2 b and 2 f? 45/323 Three letters picked without replacement from {j: 5}. Give prob of picking 3 j. 1 What is prob of picking 2 b and 1 t when three letters picked without replacement from tnnbb? 1/10 Calculate prob of picking 1 d and 1 y when two letters picked without replacement from krdynyaaydrradnda. 3/34 What is prob of picking 1 g and 1 j when two letters picked without replacement from {y: 2, g: 5, z: 2, j: 3}? 5/22 Two letters picked without replacement from {y: 7, q: 6, c: 5, e: 1}. Give prob of picking 2 c. 10/171 Two letters picked without replacement from vqvqstssvvaqsf. What is prob of picking 1 s and 1 t? 4/91 Two letters picked without replacement from {m: 10, o: 6, s: 4}. What is prob of picking 1 s and 1 o? 12/95 Calculate prob of picking 1 z, 1 k, and 2 r when four letters picked without replacement from rrkroozkkzrn. 4/55 Four letters picked without replacement from wnwzznnz. Give prob of picking 1 z and 3 n. 3/70 Four letters picked without replacement from rrrrrrbr. What is prob of picking 3 r and 1 b? 1/2 Three letters picked without replacement from nolgwjl. Give prob of picking 2 l and 1 o. 1/35 Four letters picked without replacement from {v: 2, k: 3, j: 10}. Give prob of picking 3 j and 1 v. 16/91 Four letters picked without replacement from {i: 1, r: 5, f: 11}. What is prob of picking 3 f and 1 r? 165/476 Three letters picked without replacement from appzbcb. What is prob of picking 1 b, 1 z, and 1 p? 4/35 Two letters picked without replacement from {x: 4, a: 1, l: 2}. What is prob of picking 2 l? 1/21 What is prob of picking 2 b and 1 k when three letters picked without replacement from lbickbc? 1/35 Two letters picked without replacement from gtgkggggkktkgtt. What is prob of picking 2 g? 1/5 Calculate prob of picking 2 z when two letters picked without replacement from {w: 4, o: 1, z: 5}. 2/9 Three letters picked without replacement from {s: 4, e: 1, p: 5, r: 6, t: 4}. What is prob of picking 1 r, 1 e, and 1 t? 2/95 Four letters picked without replacement from lbfrfbfbrrururfrufbu. What is prob of picking 2 u, 1 b, and 1 f? 8/323 What is prob of picking 3 a when three letters picked without replacement from aiiiaiiaiaaaiaaiaaii? 2/19 What is prob of picking 2 e when two letters picked without replacement from {d: 1, e: 2}? 1/3 Three letters picked without replacement from {j: 5, k: 8}. What is prob of picking 3 j? 5/143 Two letters picked without replacement from {v: 1, s: 9, k: 2, f: 7, t: 1}. Give prob of picking 1 v and 1 s. 9/190 Four letters picked without replacement from {b: 5}. What is prob of picking 4 b? 1 Three letters picked without replacement from hxhxdhxhhbhbbbxb. What is prob of picking 3 x? 1/140 What is prob of picking 1 n and 1 y when two letters picked without replacement from snssrsmymrmf? 1/66 What is prob of picking 1 e and 2 b when three letters picked without replacement from ekebebbkkbkbk? 15/143 Two letters picked without replacement from xvvxvxxvvuxxvxvxvu. Give prob of picking 2 u. 1/153 Three letters picked without replacement from {t: 11, b: 9}. What is prob of picking 2 b and 1 t? 33/95 Calculate prob of picking 3 m when three letters picked without replacement from {m: 11, w: 3}. 165/364 Four letters picked without replacement from {u: 3, t: 1, r: 8, x: 4, w: 1}. Give prob of picking 2 u, 1 w, and 1 x. 3/595 Calculate prob of picking 1 p and 2 y when three letters picked without replacement from zyzyzzyzppyyyyyyyz. 15/136 Two letters picked without replacement from {p: 9, f: 2}. What is prob of picking 2 f? 1/55 Four letters picked without replacement from wwwww. Give prob of picking 4 w. 1 Calculate prob of picking 2 r and 1 k when three letters picked without replacement from krkrkrkrkkrrrk. 21/52 What is prob of picking 1 i and 3 s when four letters picked without replacement from issis? 2/5 Three letters picked without replacement from {u: 1, i: 3, w: 2, c: 1, o: 10}. Give prob of picking 3 i. 1/680 Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {l: 2, h: 1, d: 2, r: 6, t: 1}. 1/220 Calculate prob of picking 2 t and 1 b when three letters picked without replacement from btfbt. 1/5 Calculate prob of picking 1 o and 2 t when three letters picked without replacement from xocttcoooxxxccooxo. 7/816 Two letters picked without replacement from {k: 1, e: 4, s: 5, n: 1, y: 2, t: 2}. What is prob of picking 1 e and 1 n? 4/105 Four letters picked without replacement from fyttttrffrtry. Give prob of picking 3 f and 1 t. 1/143 Two letters picked without replacement from kbbclbbbdk. Give prob of picking 1 d and 1 b. 1/9 Calculate prob of picking 2 d when two letters picked without replacement from odoodo. 1/15 Two letters picked without replacement from kkbba. What is prob of picking 2 k? 1/10 Four letters picked without replacement from {c: 1, h: 2, o: 1, y: 2, l: 2, u: 1}. Give prob of picking 1 u, 1 y, 1 o, and 1 c. 1/63 Calculate prob of picking 2 t and 1 i when three letters picked without replacement from mtttibttm. 5/42 Calculate prob of picking 1 p, 1 b, and 1 y when three letters picked without replacement from cybbppypby. 9/40 Two letters picked without replacement from {c: 3, b: 3, t: 1, m: 2, i: 1}. Give prob of picking 2 i. 0 Three letters picked without replacement from kkkkkkkkkekkk. Give prob of picking 3 k. 10/13 Two letters picked without replacement from {b: 1, w: 1, o: 2, g: 2}. What is prob of picking 2 g? 1/15 What is prob of picking 1 o, 1 g, and 1 p when three letters picked without replacement from {g: 3, b: 1, e: 6, p: 5, y: 3, o: 1}? 5/323 What is prob of picking 1 d, 1 x, and 1 o when three letters picked without replacement from {o: 2, i: 4, d: 1, x: 1}? 1/28 What is prob of picking 2 z when two letters picked without replacement from nzz? 1/3 What is prob of picking 2 j and 2 i when four letters picked without replacement from jiiijiiiij? 3/10 Three letters picked without replacement from eereerer. What is prob of picking 1 r and 2 e? 15/28 Two letters picked without replacement from {b: 12, l: 1}. What is prob of picking 2 l? 0 Two letters picked without replacement from qppnpndtqqq. What is prob of picking 1 d and 1 q? 4/55 Calculate prob of picking 1 h, 1 b, and 1 m when three letters picked without replacement from {m: 4, c: 2, b: 5, h: 2}. 20/143 Two letters picked without replacement from jccjjmt. What is prob of picking 1 c and 1 j? 2/7 Calculate prob of picking 1 f, 1 a, and 1 g when three letters picked without replacement from varpafgvrpvf. 1/55 Calculate prob of picking 1 l, 1 k, and 1 f when three letters picked without replacement from {k: 3, l: 2, s: 4, n: 1, f: 1}. 2/55 Two letters picked without replacement from fxiipikipxx. What is prob of picking 1 p and 1 i? 8/55 What is prob of picking 1 d and 1 e when two letters picked without replacement from dlel? 1/6 Four letters picked without replacement from ffffffjfjffj. What is prob of picking 4 f? 14/55 Three letters picked without replacement from {v: 2, f: 3, h: 1, q: 10}. What is prob of picking 3 f? 1/560 What is prob of picking 1 u and 2 b when three letters picked without replacement from buuuubu? 1/7 Two letters picked without replacement from yyppylxxps. What is prob of picking 1 s and 1 x? 2/45 Four letters picked without replacement from {h: 6, p: 1, i: 1, o: 2, x: 3, a: 2}. What is prob of picking 2 h, 1 a, and 1 i? 2/91 What is prob of picking 1 z, 1 t, 1 c, and 1 a when four letters picked without replacement from tacaukz? 2/35 Four letters picked without replacement from {v: 5, t: 2}. What is prob of picking 1 t and 3 v? 4/7 Two letters picked without replacement from nbbbnnbb. Give prob of picking 2 b. 5/14 What is prob of picking 4 w when four letters picked without replacement from {w: 6, s: 12}? 1/204 Four letters picked without replacement from rnnyyyyanaraynnd. Give prob of picking 1 a, 1 r, and 2 n. 3/91 Two letters picked without replacement from {a: 1, t: 1, r: 2, w: 4, y: 3}. What is prob of picking 1 y and 1 r? 6/55 Three lette
{ "pile_set_name": "DM Mathematics" }
placement from hybaaagahamgbba. What is prob of sequence gm? 1/105 Two letters picked without replacement from nsnnsxn. What is prob of sequence nn? 2/7 Two letters picked without replacement from xwdvhtv. Give prob of sequence wd. 1/42 Two letters picked without replacement from riztjjth. What is prob of sequence rj? 1/28 Three letters picked without replacement from jjjjjjkjjjjjjjjjjjj. What is prob of sequence jjj? 16/19 Three letters picked without replacement from coccooccvccovvcc. Give prob of sequence coc. 3/35 Three letters picked without replacement from xyzuybuqq. Give prob of sequence buu. 1/252 Three letters picked without replacement from pppppzpp. Give prob of sequence ppz. 1/8 What is prob of sequence kps when three letters picked without replacement from {w: 7, s: 2, p: 4, k: 2, f: 2}? 1/255 Two letters picked without replacement from {j: 2, l: 1, a: 1, d: 1, f: 2}. What is prob of sequence af? 1/21 Two letters picked without replacement from {z: 10, c: 4}. What is prob of sequence cc? 6/91 Calculate prob of sequence fnb when three letters picked without replacement from zmxnbfz. 1/210 Four letters picked without replacement from {b: 4, c: 7}. What is prob of sequence bbbc? 7/330 Three letters picked without replacement from ifffffidffffdffifdf. Give prob of sequence ifi. 13/969 Three letters picked without replacement from {x: 4, k: 6}. Give prob of sequence kkk. 1/6 What is prob of sequence uuu when three letters picked without replacement from {b: 1, o: 11, u: 5, s: 3}? 1/114 Four letters picked without replacement from ggoooffogogg. What is prob of sequence ggff? 1/297 Four letters picked without replacement from dydydrrdrrrrr. Give prob of sequence rydd. 7/715 Calculate prob of sequence wb when two letters picked without replacement from {c: 1, q: 1, b: 2, j: 5, w: 1}. 1/45 What is prob of sequence bpb when three letters picked without replacement from bpbupubpbpu? 8/165 What is prob of sequence gm when two letters picked without replacement from {z: 2, g: 1, m: 2, b: 1, c: 2, k: 1}? 1/36 What is prob of sequence llf when three letters picked without replacement from lffffl? 1/15 Two letters picked without replacement from {l: 2, h: 2}. What is prob of sequence hh? 1/6 Calculate prob of sequence pdsp when four letters picked without replacement from sdpppppppppdpp. 5/546 What is prob of sequence hh when two letters picked without replacement from {h: 3, o: 1}? 1/2 Calculate prob of sequence jbb when three letters picked without replacement from {v: 2, b: 4, j: 1, z: 1}. 1/28 Three letters picked without replacement from frrvgdzg. What is prob of sequence fzd? 1/336 Two letters picked without replacement from ffqh. Give prob of sequence ff. 1/6 Three letters picked without replacement from heevpeeehphev. Give prob of sequence php. 1/286 Four letters picked without replacement from jiyifffeeiyjyeieesfe. What is prob of sequence yjjs? 1/19380 What is prob of sequence ct when two letters picked without replacement from citirttrctttiiiiiti? 7/171 Four letters picked without replacement from klninnfni. Give prob of sequence inik. 1/378 Three letters picked without replacement from {w: 2, a: 1, z: 1, y: 1}. What is prob of sequence yaw? 1/30 Calculate prob of sequence ea when two letters picked without replacement from {a: 1, e: 1, t: 1, s: 2, p: 2}. 1/42 Calculate prob of sequence wmmc when four letters picked without replacement from mscwrdms. 1/840 Four letters picked without replacement from {p: 1, x: 1, b: 4, t: 2, o: 2}. What is prob of sequence bpto? 1/315 Two letters picked without replacement from uduhuhuduhddukuuuku. What is prob of sequence hk? 1/57 Calculate prob of sequence iii when three letters picked without replacement from iiiii. 1 Three letters picked without replacement from byepj. What is prob of sequence jbe? 1/60 Calculate prob of sequence uu when two letters picked without replacement from vuvuvuuvuvuvuuvuvvvv. 18/95 What is prob of sequence uk when two letters picked without replacement from dkdzdddzukdk? 1/44 Calculate prob of sequence fpzz when four letters picked without replacement from ppfzpzpf. 1/105 Two letters picked without replacement from vlvvl. What is prob of sequence vl? 3/10 Four letters picked without replacement from {o: 5, v: 11}. What is prob of sequence ovvo? 55/1092 Four letters picked without replacement from {i: 1, a: 1, q: 2, b: 1}. Give prob of sequence ibqa. 1/60 What is prob of sequence ooe when three letters picked without replacement from {e: 3, o: 5}? 5/28 Four letters picked without replacement from hheoh. What is prob of sequence eeho? 0 What is prob of sequence uww when three letters picked without replacement from {w: 5, u: 7}? 7/66 Calculate prob of sequence ifj when three letters picked without replacement from {n: 8, w: 1, j: 1, i: 2, f: 5}. 1/408 What is prob of sequence mkpp when four letters picked without replacement from {m: 7, p: 4, w: 1, q: 3, k: 3}? 7/2040 Three letters picked without replacement from {a: 2, g: 8, r: 5, x: 1}. Give prob of sequence xga. 1/210 Three letters picked without replacement from {g: 1, u: 5, s: 1, q: 5, l: 1, j: 1}. What is prob of sequence qjq? 5/546 What is prob of sequence fwkf when four letters picked without replacement from kfcwfc? 1/180 Calculate prob of sequence kvj when three letters picked without replacement from {v: 1, k: 6, j: 7}. 1/52 Calculate prob of sequence lf when two letters picked without replacement from ffllfflllfff. 35/132 Four letters picked without replacement from {d: 3, q: 6, c: 3, s: 2, g: 2}. Give prob of sequence gsqq. 1/364 What is prob of sequence ndd when three letters picked without replacement from ddn? 1/3 Calculate prob of sequence krkr when four letters picked without replacement from {r: 12, k: 7}. 77/1292 Calculate prob of sequence xz when two letters picked without replacement from bzfhdbx. 1/42 Three letters picked without replacement from {o: 3, g: 4, d: 2}. Give prob of sequence goo. 1/21 Calculate prob of sequence rart when four letters picked without replacement from {f: 1, r: 2, a: 1, t: 2}. 1/90 Three letters picked without replacement from {z: 7, p: 2, y: 6}. Give prob of sequence yzz. 6/65 Four letters picked without replacement from {w: 3, s: 1, f: 4}. What is prob of sequence wsfw? 1/70 Four letters picked without replacement from {b: 7, d: 7}. What is prob of sequence ddbd? 35/572 Four letters picked without replacement from ccmmccmcccmccpmcc. What is prob of sequence cmcp? 55/5712 Calculate prob of sequence oimi when four letters picked without replacement from mmioimiomm. 1/84 Four letters picked without replacement from {j: 5, m: 8}. Give prob of sequence mjmm. 14/143 Calculate prob of sequence sqrs when four letters picked without replacement from {s: 4, q: 1, i: 2, r: 4}. 1/165 Three letters picked without replacement from {j: 1, o: 1, p: 3, k: 3, v: 2, i: 1}. What is prob of sequence kpj? 1/110 Three letters picked without replacement from {c: 1, e: 2, w: 3, t: 1, n: 4}. Give prob of sequence ect. 1/495 Four letters picked without replacement from xjexjxxxxxxexjxj. Give prob of sequence jjej. 1/910 Calculate prob of sequence awss when four letters picked without replacement from {q: 4, s: 2, a: 2, u: 1, w: 1, l: 5}. 1/8190 What is prob of sequence fyfy when four letters picked without replacement from tfhffyyffhff? 7/990 What is prob of sequence yu when two letters picked without replacement from {l: 2, u: 4, y: 8}? 16/91 Two letters picked without replacement from pmyzzyyzyzpmzpzyzzz. Give prob of sequence zp. 3/38 Four letters picked without replacement from ijixixzixiu. What is prob of sequence izxj? 1/528 Four letters picked without replacement from eeeeeefeeeeeeeeeeee. Give prob of sequence ffff. 0 Two letters picked without replacement from {z: 7, l: 2, r: 1}. What is prob of sequence lr? 1/45 Calculate prob of sequence dla when three letters picked without replacement from {l: 2, h: 1, d: 4, a: 2}. 2/63 Two letters picked without replacement from iioiiiiiioooiioiiiii. What is prob of sequence oi? 15/76 Three letters picked without replacement from zddxdbkzzdqqxddddx. Give prob of sequence qxk. 1/816 Two letters picked without replacement from owwowow. Give prob of
{ "pile_set_name": "DM Mathematics" }
3458.8 Product of -4 and 4573. -18292 Multiply -9.39 and 71. -666.69 -283*6 -1698 What is 18631 times 0.14? 2608.34 -22560 * 2 -45120 What is 0.1 times 443203? 44320.3 Work out -0.2 * 164301. -32860.2 What is 14240 times 3? 42720 Calculate -319.2*0.108. -34.4736 -142907 * 4 -571628 -5 * 42141 -210705 What is -0.11 times 24141? -2655.51 -480 times 2270 -1089600 Work out -23 * 90. -2070 Product of -155.8089 and 0.4. -62.32356 What is -217646 times 0.3? -65293.8 0.4 * -9.7006 -3.88024 What is -5 times -1317302? 6586510 Product of 3 and -10360. -31080 -0.043 * 1803 -77.529 Work out -4 * 791062. -3164248 Calculate 0.04*241.666. 9.66664 Multiply -41974 and 1.4. -58763.6 Multiply -0.5 and 13.677. -6.8385 Product of 18 and 49.5. 891 Multiply -0.3 and 603541. -181062.3 What is 1 times -8760? -8760 Calculate -77747*-5. 388735 3.2568*0.08 0.260544 Work out -252 * -0.17. 42.84 What is the product of -6.78 and 77? -522.06 63250 times -10 -632500 Calculate -47.3*-17. 804.1 Work out -721 * 319. -229999 0.0439 * 11 0.4829 4.9 times 3868 18953.2 -1355643*-2 2711286 -0.68 * -0.58 0.3944 Work out 0.01 * 5150.2. 51.502 -152066 times -1.3 197685.8 1.0438 times -19 -19.8322 -11354 * 0 0 What is the product of 0.2 and -3323? -664.6 3.5013*-3 -10.5039 What is the product of 1.5 and 0.258677? 0.3880155 -6 times -0.19713 1.18278 0.5 * 416145 208072.5 Calculate -0.113*-2155. 243.515 -39.75 times -42 1669.5 12954.2 * -0.2 -2590.84 Calculate -6.3*-67543. 425520.9 What is the product of -0.23072 and 0.9? -0.207648 Calculate -4492*-0.3. 1347.6 79 times 196 15484 -4.868 times -0.2 0.9736 Calculate 51.667*1. 51.667 Multiply 55.4914 and 1. 55.4914 Work out 4 * 1.1479. 4.5916 Work out 1172.7 * -43. -50426.1 -0.5667*0.0192 -0.01088064 Work out -5 * -809962. 4049810 172*-0.02 -3.44 What is 22129 times -10? -221290 What is the product of 0.0945 and 0.5? 0.04725 Work out 11213 * -6. -67278 Calculate 2.373*44. 104.412 Product of -0.104101 and -1. 0.104101 -0.5 times 8455 -4227.5 What is -5 times -192868? 964340 What is 1 times -18219? -18219 -5*-1.1668 5.834 Multiply 0.089 and -10162. -904.418 Calculate 0.3*-11148. -3344.4 What is the product of -16534.5 and 1? -16534.5 -1091 * 0.115 -125.465 Multiply -792 and -1173. 929016 What is the product of 0.8 and 19.07? 15.256 What is 26.2 times 2? 52.4 -478 * -5.8 2772.4 -0.4*-147078 58831.2 Product of -0.5 and -96779. 48389.5 What is 132 times -678.9? -89614.8 Calculate 0.205*211. 43.255 -0.1 times 17147 -1714.7 What is 0.237 times 73? 17.301 Calculate -0.052289*-0.4. 0.0209156 What is the product of 15 and -0.89? -13.35 Product of -17206.1 and 5. -86030.5 282245 times -0.3 -84673.5 Product of -3278.9 and 5. -16394.5 Calculate 99*443. 43857 Multiply 67 and 3.3797. 226.4399 -1 * 15642 -15642 What is -510.41 times 2? -1020.82 Multiply -10 and -1810. 18100 What is the product of -0.4 and -125.781? 50.3124 22484 times 1.7 38222.8 Work out 3 * -631719. -1895157 Work out 1330.6 * -137. -182292.2 What is the product of -6.8 and -92? 625.6 Multiply -0.3296 and 3.2. -1.05472 0.4*0.046282 0.0185128 Product of -53075 and -0.2. 10615 Product of 5 and 0.019838. 0.09919 What is 569 times -2227? -1267163 -83.4912*0.5 -41.7456 Calculate 0.5*20414. 10207 -3*-67074 201222 -0.3 times -88.8 26.64 What is the product of -101 and -0.07? 7.07 Multiply 0.04162 and 10. 0.4162 Work out -0.11 * -211. 23.21 What is the product of 3 and -15684? -47052 What is the product of -0.46 and 0.10288? -0.0473248 Calculate -0.2*-9350. 1870 37 * -33.51 -1239.87 Calculate -4*9578. -38312 Work out 113 * -77. -8701 -5882*-0.7 4117.4 What is -32 times -0.02282? 0.73024 What is -0.2 times -11982? 2396.4 Multiply 15 and 1340. 20100 Calculate 1.8*127212. 228981.6 Calculate -128*-0.246. 31.488 -1025.6 * 0.02 -20.512 What is 0.09 times 70.33? 6.3297 Product of -2971 and 13. -38623 Product of -0.3 and -3.873. 1.1619 111.44 times 7 780.08 Calculate -4.2*-103.413. 434.3346 What is the product of 0.4 and 5970.99? 2388.396 Calculate 0.1*331850. 33185 What is 1.9233 times -0.5? -0.96165 -0.298206 * -0.5 0.149103 Calculate -0.042*2.252. -0.094584 Work out -16 * 0.4248. -6.7968 1099 * 2298 2525502 What is the product of -2.185 and -306? 668.61 What is the product of 2 and -224236? -448472 -40.32 * -8 322.56 What is -3557 times 4? -14228 Multiply 153.6 and 0.003. 0.4608 Product of 13.386 and 24. 321.264 Work out 0.1 * -19289. -1928.9 209.957 * 6 1259.742 Multiply 0.01 and 2.818. 0.02818 Calculate -27*-50550. 1364850 -7721 * 0.4 -3088.4 Multiply -3 and 51.1233. -153.3699 Calculate 0.2792*-67.4. -18.81808 What is 0.2 times 381609? 76321.8 What is 50 times 0.0023? 0.115 Multiply -0.1 and -105420. 10542 3 times -148860 -446580 2.2 * 63.9 140.58 Calculate 2.9*0.03419. 0.099151 Product of 0.2 and 69.559. 13.9118 What is -0.1 times -103386? 10338.6 Product of -8620 and -160. 1379200 What is the product of 0.8 and -237.2? -189.76 Calculate 33146*0.3. 9943.8 -2967*73 -216591 Calculate -42906*-2. 85812 0.3 times 89.349 26.8047 Calculate -1.7165*0.2. -0.3433 3774 times 1250 4717500 Work out -86535 * -4. 346140 -0.9*-26982 24283.8 Calculate -0.07*-106176. 7432.32 What is the product of 4294 and -150? -644100 Multiply -15 and 1.75. -26.25 -0.0015 times -241 0.3615 Multiply -255.145 and 0.3. -76.5435 -4331*-68 294508 Multiply -0.631 and -11. 6.941 Product of 0.4 and 21516.3. 8606.52 Calculate 14588*4. 58352 Multiply 7321 and 0.4. 2928.4 What is the product of 157.3 and 115? 18089.5 What is 5 times 565441? 2827205 1*-0.15352 -0.15352 Multiply -35315 and -0.1. 3531.5 57939*-5 -289695 Multiply -618904 and -5. 3094520 Product of 1.5 and 94.57. 141.855 Calculate -752*-291. 218832 -0.3 * -0.27021 0.081063 Calculate -9*-572769. 5154921 What is 5.7 times -9071? -51704.7 What is 1892 times 0.17? 321.64 What is the product of -5 and -0.5037? 2.5185 0.11*-0.2851 -0.031361 Calculate -89*30.8. -2741.2 What is -148.48 times 4? -593.92 -1246*-0.85 1059.1 699*0.07 48.93 3 times -0.62261 -1.86783 Multiply 0.4 and 938591. 375436.4 What is -1.96 times -266? 521.36 Multiply 10.44 and -0.114. -1.19016 Work out 4 * 71786.4. 287145.6 What is -0.419 times 0.119? -0.049861 0.104*-0.037 -0.003848 -0.0291*148 -4.3068 What is the product of -0.1 and -57268.1? 5726.81 Work out 0.2 * -102.39. -20.478 Calculate 0.1*233306. 23330.6 0.2685*-13 -3.4905 Multiply -4680 and -25. 117000 What is the product of -403530 and 8? -3228240 1*162103 162103 -230.9 * 4 -923.6 Product of 0.58 and 13.5. 7.83 -0.11 * 0.0413 -0.004543 What is the product of -602.973 and -4? 2411.892 What is the product of 1401 and -0.0231? -32.3631 Calculate -27*-6424. 173448 Product of 38 and 1.53. 58.14 0.8 * 56496.9 45197.52 Calculate 4*4069. 16276 Product of -4 and -522034. 2088136 What is 0.1 times -8.9806? -0.89806 Work out 37.2054 * -0.06. -2.232324 61699 * 2 123398 -0.06 times 54.2 -3.252 -44431 times -1.8 79975.8 Calculate 950*0.011. 10.45 -146.31 times -4 585.24 Product of -7 and -189230. 1324610 Work out 1.26 * 905. 1140.3 10*-0.019 -0.19 0.04784 * -0.4 -0.019136 Calculate -1.1*-157.361. 173.0971 Product of 4568 and 1. 4568 -0.08*0.1114 -0.008912 -0.0247329 times 8 -0.1978632 Multiply 9574.72 and 1. 9574.72 Multiply -0.5 and 2873. -1436.5 -1078 * -0.02 21.56 Calculate 27*-7.36. -198.72 240 * 0.4646 111.504 0.05 times -1.787 -0.08935 What is the product of 65.3 and 21.8? 1423.54 Calculate -14*0.1312. -1.8368 Multiply 236 and -12. -2832 What is the product of -0.296 and -128? 37.888 Multiply -4926217 and -0.3. 1477865.1 What is -1941 times -31? 60171 1279 * 1281 1638399 -103 * -43798 4511194 -8 * 95 -760 Product of 1.2 and -60.78. -72.936 What is 903 times -0.155? -139.965 Work out 79 * 17.4. 1374.6 1401 * -22 -30822 Multiply 0.3 and -23.3308. -6.99924 What is the product of -0.11213 and -14? 1.56982 Work out -90.06 * -0.09. 8.1054 19 * -0.94424 -17.94056 Work out -5 * 37.6154. -188.077 Multiply -138881 and 6. -833286 Work out 1.18 * 1330. 1569.4 Work out -0.351 * -0.137. 0.048087 -12152 * 9 -109368 What is 0.3 times -980307? -294092.1 Product of 200173 and -4. -800692 What is 1.21 times -5.761? -6.97081 Multiply -35 and -679. 23765 What is 0.13 times -1.36? -0.1768 Work out -2.796 * 9. -25.164 Work out -0.2 * 4.2843. -0.85686 Calculate 25*-391.8. -9795 Product of
{ "pile_set_name": "DM Mathematics" }
from fishx. 1/10 What is prob of picking 1 p, 2 z, and 1 a when four letters picked without replacement from zzkapkk? 1/35 What is prob of picking 1 y and 2 i when three letters picked without replacement from {z: 2, k: 5, y: 3, e: 1, i: 5}? 3/56 Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {m: 4, v: 1, z: 5}. 1/9 Three letters picked without replacement from {l: 1, w: 3, y: 5}. Give prob of picking 3 w. 1/84 Four letters picked without replacement from abaabb. What is prob of picking 1 b and 3 a? 1/5 Calculate prob of picking 1 b, 1 m, and 2 w when four letters picked without replacement from {m: 1, b: 1, w: 2, e: 2, c: 2, a: 1}. 1/126 Four letters picked without replacement from fkvzmzfkfffzmkq. What is prob of picking 1 k and 3 f? 2/91 What is prob of picking 1 q and 1 v when two letters picked without replacement from {q: 1, v: 1, x: 1}? 1/3 Two letters picked without replacement from {y: 2, n: 4, j: 1, p: 1, w: 1}. Give prob of picking 1 w and 1 j. 1/36 Calculate prob of picking 1 w and 3 l when four letters picked without replacement from lswwllwwtltlwdlswlwt. 49/969 Four letters picked without replacement from {b: 5, o: 5, k: 8}. What is prob of picking 2 b and 2 k? 14/153 Four letters picked without replacement from dhhdmhhddhmh. What is prob of picking 2 d and 2 h? 2/11 Four letters picked without replacement from {w: 2, l: 3, p: 1, c: 2, g: 4}. Give prob of picking 2 g, 1 c, and 1 w. 8/165 What is prob of picking 3 s when three letters picked without replacement from {s: 3}? 1 Three letters picked without replacement from {z: 6}. Give prob of picking 3 z. 1 Four letters picked without replacement from {y: 12, u: 7}. Give prob of picking 2 u and 2 y. 231/646 Two letters picked without replacement from {r: 2, i: 4, c: 9, o: 3, t: 1}. What is prob of picking 1 r and 1 c? 2/19 Four letters picked without replacement from nmxnb. Give prob of picking 1 m, 1 b, and 2 n. 1/5 Two letters picked without replacement from dshshbhhr. Give prob of picking 1 s and 1 h. 2/9 Three letters picked without replacement from {e: 7, q: 3}. Give prob of picking 3 q. 1/120 Two letters picked without replacement from {s: 3, n: 1, g: 1, v: 9}. What is prob of picking 1 s and 1 g? 3/91 What is prob of picking 3 g when three letters picked without replacement from cigpgzt? 0 Four letters picked without replacement from {k: 1, r: 3, w: 6, y: 4}. What is prob of picking 1 r and 3 y? 12/1001 What is prob of picking 2 j when two letters picked without replacement from {e: 1, p: 1, j: 2, r: 1}? 1/10 What is prob of picking 1 f, 1 o, and 1 j when three letters picked without replacement from fcocjoobbboooo? 1/52 Three letters picked without replacement from mmmmmmgcmmmmmc. What is prob of picking 1 c and 2 g? 0 What is prob of picking 1 z, 1 o, and 1 s when three letters picked without replacement from {z: 5, c: 2, n: 3, o: 8, s: 1}? 40/969 What is prob of picking 1 m and 3 k when four letters picked without replacement from {m: 4, l: 2, k: 7}? 28/143 Four letters picked without replacement from {g: 2, c: 4, z: 4, s: 1}. Give prob of picking 1 z, 2 c, and 1 s. 4/55 What is prob of picking 4 u when four letters picked without replacement from uuuqqququq? 1/42 Four letters picked without replacement from twwmmtttmttmmmm. What is prob of picking 2 t, 1 w, and 1 m? 2/13 Two letters picked without replacement from cdodgggg. What is prob of picking 1 d and 1 c? 1/14 Two letters picked without replacement from aaaqqaaasaqaasaqaqq. Give prob of picking 1 q and 1 s. 4/57 Two letters picked without replacement from iiiiiisisiiiiisisi. Give prob of picking 2 i. 91/153 Three letters picked without replacement from lllvvlvvvkkfkvllk. What is prob of picking 1 k and 2 v? 3/34 Three letters picked without replacement from {u: 4, l: 1, c: 4, i: 1}. What is prob of picking 1 c and 2 u? 1/5 Four letters picked without replacement from {f: 8, j: 3, s: 2, o: 6}. What is prob of picking 2 j, 1 f, and 1 o? 12/323 Three letters picked without replacement from {t: 7, b: 6}. What is prob of picking 1 t and 2 b? 105/286 Three letters picked without replacement from ryrryryr. Give prob of picking 2 y and 1 r. 15/56 What is prob of picking 1 k and 1 n when two letters picked without replacement from {n: 4, j: 1, q: 1, f: 4, k: 1, w: 1}? 2/33 Four letters picked without replacement from {y: 2, z: 18}. What is prob of picking 2 y and 2 z? 3/95 Three letters picked without replacement from wwwo. Give prob of picking 1 o and 2 w. 3/4 What is prob of picking 3 p when three letters picked without replacement from pvpppppvvvppppvop? 33/136 Calculate prob of picking 1 e, 1 c, and 1 g when three letters picked without replacement from {c: 2, g: 1, u: 4, e: 2, p: 1}. 1/30 Four letters picked without replacement from rraaapaawhrazzaa. Give prob of picking 1 r, 1 z, 1 h, and 1 p. 3/910 What is prob of picking 2 p, 1 g, and 1 y when four letters picked without replacement from {x: 2, g: 5, p: 2, y: 2, b: 1, e: 1}? 2/143 Four letters picked without replacement from fetkbeeetkte. Give prob of picking 2 e, 1 t, and 1 k. 4/33 What is prob of picking 1 l and 1 s when two letters picked without replacement from lllllllsllslslllllsl? 32/95 Calculate prob of picking 2 n and 1 w when three letters picked without replacement from wtnmatttmtmwtmnnaa. 1/136 Calculate prob of picking 1 q and 3 r when four letters picked without replacement from rrrrrrrrqqrqrrr. 44/91 Calculate prob of picking 3 l when three letters picked without replacement from llllll. 1 Calculate prob of picking 1 j, 1 r, and 1 g when three letters picked without replacement from {u: 5, g: 6, m: 2, j: 2, i: 1, r: 1}. 3/170 Three letters picked without replacement from {i: 1, m: 1, z: 2, r: 4, d: 1, g: 3}. Give prob of picking 2 g and 1 r. 3/55 Calculate prob of picking 1 w and 2 o when three letters picked without replacement from bwbowwbbbbwwbobbbbb. 5/969 Two letters picked without replacement from uiiiiiviiiaiauuupia. Give prob of picking 1 i and 1 u. 40/171 Four letters picked without replacement from {l: 2, t: 10, b: 6}. Give prob of picking 1 t, 1 l, and 2 b. 5/51 What is prob of picking 2 z when two letters picked without replacement from vvzzv? 1/10 Two letters picked without replacement from fttjmtft. Give prob of picking 2 f. 1/28 Three letters picked without replacement from {f: 2, h: 1, i: 4, d: 3, y: 3, s: 2}. Give prob of picking 1 s and 2 i. 12/455 Calculate prob of picking 1 b and 1 s when two letters picked without replacement from sbsbsbsssbbssfbsfb. 7/17 Four letters picked without replacement from jjpjxjpjjj. Give prob of picking 1 p and 3 j. 1/3 What is prob of picking 2 l when two letters picked without replacement from llgux? 1/10 Four letters picked without replacement from {f: 18, o: 1}. Give prob of picking 4 f. 15/19 Three letters picked without replacement from {c: 3, j: 5, t: 1, g: 4, r: 1, l: 1}. What is prob of picking 3 j? 2/91 Four letters picked without replacement from {f: 5, o: 7}. Give prob of picking 3 o and 1 f. 35/99 Calculate prob of picking 2 k when two letters picked without replacement from okekeekkeww. 6/55 What is prob of picking 1 a and 1 v when two letters picked without replacement from {i: 1, v: 1, a: 2, u: 1, p: 2}? 2/21 Two letters picked without replacement from {q: 3, g: 7}. Give prob of picking 2 q. 1/15 What is prob of picking 1 g and 1 a when two letters picked without replacement from {m: 1, g: 1, a: 4, v: 3, s: 5, c: 1}? 4/105 Two letters picked without replacement from uauzzv. Give prob of picking 1 a and 1 v. 1/15 Two letters picked without replacement from fffsisrffrfsreefa. What is prob of picking 1 f and 1 i? 7/136 What is prob of picking 2 q when two letters picked without replacement from {q: 12, k: 1, o: 5, g: 1}? 22/57 Two letters picked without replacement from {m: 1, c: 6, d: 12}. What is prob of picking 1 d and 1 m? 4/57 What is prob of picking 1 y and 3 n when four letters picked without replacement from {v: 1, c: 2, n: 7, y: 3, f: 1}? 15/143 Two letters picked without replacement from {v: 1, n: 2, m: 2, r: 1, k: 1, p: 2}. What is prob of picking 2 p? 1/36 Two letters picked without replacement from zcccrbaarrrccar. What is prob of pi
{ "pile_set_name": "DM Mathematics" }
f 69026, 138043, 207062, 276083, 345106, 414131? d**2 + 69014*d + 11 What is the n'th term of -763, -1601, -2519, -3517, -4595, -5753, -6991? -40*n**2 - 718*n - 5 What is the u'th term of -7741727, -7741726, -7741725, -7741724, -7741723? u - 7741728 What is the k'th term of -9267, -9263, -9247, -9213, -9155? k**3 - 3*k - 9265 What is the z'th term of -472, -1195, -1914, -2629, -3340, -4047, -4750? 2*z**2 - 729*z + 255 What is the a'th term of -120, -154, -256, -462, -808, -1330, -2064? -6*a**3 + 2*a**2 + 2*a - 118 What is the f'th term of 66293, 132583, 198873, 265163, 331453, 397743? 66290*f + 3 What is the x'th term of 66, 321, 752, 1365, 2166, 3161, 4356, 5757? x**3 + 82*x**2 + 2*x - 19 What is the x'th term of 60, 628, 2204, 5286, 10372, 17960, 28548, 42634? 83*x**3 + 6*x**2 - 31*x + 2 What is the i'th term of -2029, -1524, -1019, -514, -9, 496? 505*i - 2534 What is the b'th term of 6573, 13141, 19711, 26283, 32857? b**2 + 6565*b + 7 What is the c'th term of 32041, 32042, 32043, 32044? c + 32040 What is the i'th term of 100, 190, 268, 334? -6*i**2 + 108*i - 2 What is the h'th term of -31, -22, 41, 164, 353, 614? h**3 + 21*h**2 - 61*h + 8 What is the k'th term of 53629, 53695, 53761? 66*k + 53563 What is the w'th term of 333, 1369, 3095, 5505, 8593? -w**3 + 351*w**2 - 10*w - 7 What is the x'th term of -456, -2145, -5070, -9231, -14628, -21261? -618*x**2 + 165*x - 3 What is the v'th term of 160, 768, 1840, 3382, 5400? v**3 + 226*v**2 - 77*v + 10 What is the d'th term of 177, 700, 1569, 2784, 4345? 173*d**2 + 4*d What is the x'th term of 2053, 4016, 5979, 7942, 9905, 11868? 1963*x + 90 What is the b'th term of 103097, 206195, 309293, 412391, 515489, 618587? 103098*b - 1 What is the b'th term of -128, -240, -354, -470? -b**2 - 109*b - 18 What is the q'th term of -83051, -83054, -83059, -83066, -83075, -83086, -83099? -q**2 - 83050 What is the m'th term of -33307, -33314, -33321? -7*m - 33300 What is the x'th term of -850, -1591, -2306, -2983, -3610, -4175, -4666, -5071? 2*x**3 + x**2 - 758*x - 95 What is the h'th term of -721943, -721945, -721947, -721949? -2*h - 721941 What is the y'th term of 313579, 313574, 313561, 313534, 313487, 313414, 313309? -y**3 + 2*y**2 - 4*y + 313582 What is the p'th term of 218301, 436579, 654861, 873147, 1091437? 2*p**2 + 218272*p + 27 What is the j'th term of 504327, 504329, 504333, 504339? j**2 - j + 504327 What is the d'th term of 39798, 39795, 39792, 39789? -3*d + 39801 What is the j'th term of -1871, -15540, -52635, -124868, -243951? -1952*j**3 - j**2 - 2*j + 84 What is the p'th term of -2185, -4399, -6613, -8827, -11041, -13255? -2214*p + 29 What is the l'th term of -4295, -4260, -4189, -4070, -3891, -3640, -3305, -2874? 2*l**3 + 6*l**2 + 3*l - 4306 What is the n'th term of -376, -707, -1044, -1387, -1736? -3*n**2 - 322*n - 51 What is the o'th term of -5025, -5299, -5581, -5877, -6193, -6535, -6909? -o**3 + 2*o**2 - 273*o - 4753 What is the b'th term of 14854, 29695, 44536? 14841*b + 13 What is the x'th term of -113, -459, -1407, -3257, -6309, -10863, -17219, -25677? -50*x**3 - x**2 + 7*x - 69 What is the i'th term of -36289, -36312, -36339, -36370, -36405, -36444? -2*i**2 - 17*i - 36270 What is the c'th term of -768, -1253, -1738, -2223? -485*c - 283 What is the t'th term of -42, -48, -52, -60, -78, -112, -168, -252? -t**3 + 7*t**2 - 20*t - 28 What is the g'th term of -42, 70, 270, 570, 982, 1518? 2*g**3 + 32*g**2 + 2*g - 78 What is the g'th term of -2594, -2430, -2282, -2156, -2058, -1994, -1970? -g**3 - 2*g**2 + 177*g - 2768 What is the l'th term of -122, -31, 166, 523, 1094, 1933? 9*l**3 - l**2 + 31*l - 161 What is the q'th term of -656, -1268, -1880? -612*q - 44 What is the n'th term of 472, 392, 302, 196, 68, -88, -278? -n**3 + n**2 - 76*n + 548 What is the f'th term of -372, -495, -694, -963, -1296, -1687, -2130? f**3 - 44*f**2 + 2*f - 331 What is the y'th term of -128879, -128887, -128895, -128903? -8*y - 128871 What is the m'th term of -45, -197, -451, -807, -1265? -51*m**2 + m + 5 What is the b'th term of -292, -254, -204, -154, -116, -102? -2*b**3 + 18*b**2 - 2*b - 306 What is the q'th term of -226, -775, -1646, -2839? -161*q**2 - 66*q + 1 What is the h'th term of -383, -316, -281, -284, -331, -428, -581? -h**3 - 10*h**2 + 104*h - 476 What is the l'th term of 7628, 15253, 22874, 30491, 38104? -2*l**2 + 7631*l - 1 What is the c'th term of 272017, 272014, 272011, 272008? -3*c + 272020 What is the k'th term of 85322, 85323, 85324, 85325? k + 85321 What is the f'th term of -13, -42, -97, -184, -309, -478, -697? -f**3 - 7*f**2 - f - 4 What is the i'th term of 235, 632, 1301, 2248, 3479, 5000, 6817? i**3 + 130*i**2 + 104 What is the x'th term of 123, 147, 175, 207, 243? 2*x**2 + 18*x + 103 What is the y'th term of -67, 10, 147, 356, 649? 2*y**3 + 18*y**2 + 9*y - 96 What is the y'th term of 41037, 41027, 41017, 41007? -10*y + 41047 What is the b'th term of -209, 784, 1777, 2770, 3763, 4756? 993*b - 1202 What is the f'th term of 730, 3178, 7342, 13222? 858*f**2 - 126*f - 2 What is the u'th term of -11322, -22642, -33962, -45282, -56602? -11320*u - 2 What is the f'th term of 140, 577, 1304, 2321, 3628, 5225? 145*f**2 + 2*f - 7 What is the y'th term of -1523, -1894, -2265? -371*y - 1152 What is the f'th term of 8891, 17859, 26827, 35795, 44763, 53731? 8968*f - 77 What is the i'th term of 649, 2431, 5401, 9559, 14905, 21439, 29161? 594*i**2 + 55 What is the u'th term of 49907, 49912, 49917, 49922, 49927? 5*u + 49902 What is the v'th term of 57, 448, 1517, 3606, 7057? 57*v**3 - 3*v**2 + v + 2 What is the m'th term of 19, 435, 1551, 3715, 7275? 58*m**3 + 2*m**2 + 4*m - 45 What is the s'th term of -12869, -51426, -115685, -205646, -321309, -462674? -12851*s**2 - 4*s - 14 What is the g'th term of 812616, 812615, 812614, 812613? -g + 812617 What is the x'th term of 243, 1428, 4643, 10902, 21219, 36608? 169*x**3 + x**2 - x + 74 What is the g'th term of 211, 244, 277, 310? 33*g + 178 What is the n'th term of -33269, -33343, -33417, -33491, -33565? -74*n - 33195 What is the i'th term of 15724, 15741, 15768, 15811, 15876, 15969? i**3 - i**2 + 13*i + 15711 What is the o'th term of 1174, 1819, 2454, 3073, 3670, 4239, 4774, 5269? -o**3 + o**2 + 649*o + 525 What is the t'th term of -935, -1018, -1157, -1352? -28*t**2 + t - 908 What is the r'th term of -881, -1761, -2759, -3881, -5133, -6521, -8051? -r**3 - 53*r**2 - 714*r - 113 What is the a'th term of -93, 36, 243, 528? 39*a**2 + 12*a - 144 What is the b'th term of -540, -536, -532? 4*b - 544 What is the q'th term of 26223, 26218, 26203, 26172, 26119, 26038, 25923? -q**3 + q**2 - q + 26224 What is the t'th term of -1131, -1071, -971, -837, -675, -491? -t**3 + 26*t**2 - 11*t - 1145 What is the q'th term of -530, -4424, -15026, -35690, -69770, -120620, -191594, -286046? -559*q**3 + 19*q + 10 What is the y'th term of 3468, 7012, 10558, 14106, 17656, 21208, 24762? y**2 + 3541*y - 74 What is the x'th term of -2582, -10366, -23352, -41552, -64978, -93642, -127556? -2*x**3 - 2589*x**2 - 3*x + 12 What is the r'th term of -3519, -3508, -3497, -3486, -3475? 11*r - 3530 What is the q'th term of -16, -230, -802, -1906, -3716, -6406, -10150, -15122? -29*q**3 - 5*q**2 + 4*q + 14 What is the f'th term of 13235, 13224, 13207, 13184, 13155? -3*f**2 - 2*f + 13240 What is the t'th term of -32681, -65376, -98071, -130766, -163461? -32695*t + 14 What is the f'th term of -2505, -2530, -2577, -2658, -2785, -2970? -2*f**3 + f**2 - 14*f - 2490 What is the r'th term of 2952, 2948, 2946, 2946, 2948, 2952, 2958? r**2 - 7*r + 2958 What is the a'th term of 514916, 2059664, 4634252, 8238686, 12872972? a**3 + 514914*a**2 - a + 2 What is the z'th term of -1487, -1627, -2007, -2747, -3967, -5787, -8327? -20*z**3 - 1467 What is the r'th term of -3277, -6524, -9759, -12976, -16169? r**3 - 3254*r - 24 What is the a'th term of 159218, 318439, 477660, 636881, 796102, 955323? 159221*a - 3 What is the f'th term of -4294, -4278, -4266, -4258, -4254, -4254? -2*f**2 + 22*f - 4314 What is the y'th term of 704, 1417, 2140, 2873, 3616, 4369? 5*y**2 + 698*y + 1 What is the j'th term of -279231, -279225, -279209, -279177, -279123, -279041, -278925, -278769? j**3 - j**2 + 2*j - 279233 What is the d'th term of -95
{ "pile_set_name": "DM Mathematics" }
(m + 1)**2/3 Suppose -20*c**4 + 77/2*c**3 + 2*c**2 + 3/2*c**5 + 0 - 22*c = 0. What is c? -2/3, 0, 1, 2, 11 Let j(d) be the first derivative of -d**6/18 + 22*d**5/15 - 97*d**4/12 - 88*d**3/3 - 24*d**2 + 7449. Determine o so that j(o) = 0. -1, 0, 12 Let d(o) be the first derivative of o**4/3 + 500*o**3/3 + 23562*o**2 + 139876*o/3 - 1005. Factor d(z). 4*(z + 1)*(z + 187)**2/3 Let u(k) be the third derivative of -5*k**8/252 + 11*k**7/18 + 233*k**6/72 + 197*k**5/36 + 115*k**4/72 - 55*k**3/9 + 6*k**2 - k + 16. What is h in u(h) = 0? -1, 1/4, 22 Let n(d) = 3*d**2 + 17*d - 62. Let o be n(3). Determine r so that -2/3*r**3 + o*r + 2*r**2 - 160/3 = 0. -5, 4 Let w(f) be the third derivative of 0 - 1/20*f**5 + 0*f + 145*f**2 - 3528*f**3 + 21*f**4. Factor w(u). -3*(u - 84)**2 What is s in 645888 + 699*s - 3*s**2 + 10*s**2 - 4*s**2 - 1241*s - 2242*s = 0? 464 Let i be ((-5)/3 - 1)*(-559845)/10010. Factor -6/7 + i*y - 45414/7*y**2. -6*(87*y - 1)**2/7 Let i(o) be the third derivative of -o**7/42 - 25*o**6/8 + 100*o**5/3 - 42*o**2 - 2*o + 33. Factor i(w). -5*w**2*(w - 5)*(w + 80) Let g(i) = 102*i - 429 + 2 + 19 - 99 - 102. Let h be g(6). Determine f, given that 12/7*f**4 - 1/7*f**5 - 33/7*f + 52/7*f**2 + 8/7 - 38/7*f**h = 0. 1, 8 Let n(c) be the second derivative of c**5/50 + c**4 - 21*c**3/5 - 5292*c**2/5 - 3572*c. Factor n(r). 2*(r - 12)*(r + 21)**2/5 Let b be 12/(-30)*(-15)/36. Let t(c) be the first derivative of 0*c + b*c**6 - 3/4*c**4 + 12 - c**2 + 5/3*c**3 - 1/5*c**5. Find o such that t(o) = 0. -2, 0, 1 Suppose 77 = -k + 79. Suppose -4*u + 4 = -k*p, 5*p = -4*u + 13 + 5. Factor 8/3*w + 8 + 2/9*w**u. 2*(w + 6)**2/9 Let y = -478657/11 + 43517. Solve 12/11*g**4 + 2/11*g**5 - y*g**3 + 0 + 0*g + 16/11*g**2 = 0 for g. -8, 0, 1 Let c be (15 - 3) + (-3 - -3)/(-13). Let a(l) be the first derivative of -10/3*l**3 + c*l**2 - 32 - 8*l. Let a(j) = 0. Calculate j. 2/5, 2 Let q(d) be the third derivative of -18*d**2 - 13/36*d**4 + 0 + 0*d + 22/9*d**3 + 1/90*d**5. Solve q(w) = 0 for w. 2, 11 Let z be (-10 - -3) + (-13 - (-549)/27). Factor 1/3*s**3 - z*s - 37/3*s**2 + 37/3. (s - 37)*(s - 1)*(s + 1)/3 What is g in 0 + 32*g + 44/7*g**2 + 2/7*g**3 = 0? -14, -8, 0 Let t**3 - 8/5 - 2/5*t**4 - 1/5*t**5 + 2*t**2 - 4/5*t = 0. What is t? -2, -1, 1, 2 Let r(p) be the first derivative of -p**5 - 1155*p**4/4 - 29645*p**3 - 2282665*p**2/2 - 1241. Factor r(o). -5*o*(o + 77)**3 Let q(s) be the third derivative of -5651522*s**7/105 - 482447*s**6/15 - 82369*s**5/10 - 14063*s**4/12 - 2401*s**3/24 + 1384*s**2. Factor q(k). -(82*k + 7)**4/4 Let r(z) be the third derivative of -1/48*z**6 - 141/16*z**4 + 3*z**2 + 0 - 11*z - 91/120*z**5 - 27/4*z**3. Factor r(p). -(p + 9)**2*(5*p + 1)/2 Let p be 1950/45 - 8/6. Suppose 18*v + p = 32*v. Factor -14/3*b - 10/3*b**2 - 2 - 2/3*b**v. -2*(b + 1)**2*(b + 3)/3 Let z(t) = 155*t**3 + 1365*t**2 + 5265*t + 5940. Let d(g) = 7*g**3 + 62*g**2 + 239*g + 270. Let y(r) = 45*d(r) - 2*z(r). Determine f so that y(f) = 0. -6, -3 Let n(h) = -54*h - 2430. Let a be n(-45). Let r(o) be the third derivative of 0*o - 5/6*o**4 + a*o**3 - 1/3*o**5 - 1/24*o**6 + 9*o**2 + 0. Factor r(t). -5*t*(t + 2)**2 Let o(g) be the second derivative of -g**6/1980 + g**5/165 - g**4/33 + 6*g**3 + 5*g - 9. Let d(h) be the second derivative of o(h). Factor d(y). -2*(y - 2)**2/11 Let s = -4028 + 4028. Let a(u) be the second derivative of -1/42*u**4 + s + 10*u + 0*u**3 + 4/7*u**2. Factor a(d). -2*(d - 2)*(d + 2)/7 Let q(w) be the first derivative of -18*w**5/5 + 181*w**4 + 1406*w**3/3 - 1308*w**2 + 504*w + 4383. Let q(a) = 0. Calculate a. -3, 2/9, 1, 42 Suppose 492 = -9*t + 510. Let u be ((-6)/5)/((-3)/40). Factor -3*d**t + 3*d + 4*d - d**2 + 13*d - u. -4*(d - 4)*(d - 1) Let l be 7 - (-10 - 198/(-9)). Let b be (l/25)/(18/(-216)). Suppose 16/5 + 24/5*y + 2/5*y**3 + b*y**2 = 0. What is y? -2 Factor 90 + 2*b**2 + 52*b + 79 - 331 - 300. 2*(b - 7)*(b + 33) Let o(n) be the third derivative of n**5/300 + n**4/12 - 4*n**3/5 + 1433*n**2. Factor o(y). (y - 2)*(y + 12)/5 Let w(g) be the first derivative of 25 - 5*g**4 - 26*g**2 + 18*g**2 + 4*g**3 + 6*g**4. Determine n so that w(n) = 0. -4, 0, 1 Suppose -4*x + 3*r - 185 = 0, 85 = -x - x + 3*r. Let o = -20 - x. Factor 12*u**2 - 8*u**3 + 2*u**4 + 4 + 18*u**5 - 10*u - 48*u**2 + o*u**4. 2*(u - 1)*(u + 1)**3*(9*u - 2) Let k(v) = -v**3 + 8*v**2 + 6*v + 37. Let b be k(9). Suppose -10*z = b - 40. Factor l + 1/3*l**z - l**2 - 1/3. (l - 1)**3/3 Determine w so that -712/3*w**2 + 0 - 1/3*w**3 - 126736/3*w = 0. -356, 0 Let d(r) be the second derivative of -r**6/70 - 3*r**5/28 + 3*r**4/2 + 90*r**3/7 - 324*r**2/7 - 1306*r. Suppose d(z) = 0. Calculate z. -6, 1, 6 Let u(j) = 79*j - 1341. Let f be u(17). Suppose 4*v + 24 - 36 = 0. Factor 15/4*q**f + 3/4*q**v + 0 + 3*q. 3*q*(q + 1)*(q + 4)/4 Let p = -37 - -36. Let c(m) = -17*m**3 + 3*m**2 + 2*m. Let h be c(p). Determine k so that -12 - 131*k**2 - 4 + 1 + 128*k**2 - h*k = 0. -5, -1 Suppose -7*p = -0 - 7. Let h be p + (-2 + 5 - -1). Solve -799*k**h + 802*k**5 - 8*k**3 - k**3 + 6*k**2 = 0 for k. -2, 0, 1 Let a(i) be the third derivative of -i**8/672 + 7*i**7/6 - 15941*i**6/48 + 212503*i**5/6 + 546325*i**4/3 + 1102736*i**3/3 - 28*i**2 + 24*i. Solve a(j) = 0. -1, 164 Let b(z) be the first derivative of -1/6*z**6 - z**2 + 0*z + 1/5*z**5 + 97 - 1/3*z**3 + 3/4*z**4. Suppose b(t) = 0. What is t? -1, 0, 1, 2 Let t = 91357/136914 - 27/45638. Determine d, given that 46/3 - t*d**2 - 44/3*d = 0. -23, 1 Let w(q) be the second derivative of q**6/60 - 43*q**5/40 - 15*q**4/8 + 43*q**3/12 + 11*q**2 + 7*q + 852. Factor w(c). (c - 44)*(c - 1)*(c + 1)**2/2 Let 18/13 + 4*g + 48/13*g**2 - 2/13*g**4 + 12/13*g**3 = 0. Calculate g. -1, 9 Let 952/5*r - 12/5*r**2 + 0 - 4/5*r**3 = 0. What is r? -17, 0, 14 Let q be 7/6 - 1 - (62 - 45811/732). Solve q*r**2 - 93/4*r + 0 = 0. 0, 31 Let d(z) be the second derivative of -z**5/5 + 7*z**4 + 140*z**3/3 + 96*z**2 + 77*z - 12. Factor d(n). -4*(n - 24)*(n + 1)*(n + 2) Let j(i) = 4*i - 132. Let m be j(33). Suppose 5*a + 933 - 1063 = m. What is g in -25/2*g**4 - 4 - 95/2*g**3 - a*g - 57*g**2 = 0? -2, -1, -2/5 Let u(h) = -158 + 95 + 41*h + 247. Let o be u(-4). Suppose 3/2*p - 10*p**4 - 21/2*p**3 - 1 + o*p**2 = 0. Calculate p. -2, -1/4, 1/5, 1 Let c be (22/(-99))/(156/(-117)). Factor -1/3*r**2 - 1/6*r + 0 - c*r**3. -r*(r + 1)**2/6 Let o be 3/18*-4*(-168249)/34. Suppose -3297*r**4 - 2*r**2 + o*r**4 + 3*r**3 - 7*r + 4*r**3 = 0. Calculate r. -7/2, -1, 0, 1 Factor 0*s**2 - 1/2*s**4 + 0 + 0*s + 13*s**3. -s**3*(s - 26)/2 Let p(w) = 39*w**3 - 6*w**2 - 30*w. Let v(j) = -38*j**3 + 6*j**2 + 31*j. Let i = -221 + 215. Let m(s) = i*v(s) - 7*p(s). Suppose m(q) = 0. What is q? -2/3, 0, 4/5 Let m = 426789 + -426786. Factor -11*o**m + 68/3*o**2 - 37/3*o + 2/3. -(o - 1)**2*(33*o - 2)/3 Suppose 35*v = 71*v - 468. Let j(c) = c**3 - 17*c**2 + 53*c - 10. Let x be j(v). Solve 2/5*g**2 + 6/5*g**x + 8/5 - 16/5*g = 0 for g. -2, 2/3, 1 Solve -1532/5 + 1153/5*m**2 - 77*m**4 - 763/5*m**3 - 1/5*m**5 + 1528/5*m = 0 for m. -383, -2, 1 Let i(y) be the third derivative of y**5/140 + 41*y**4/56 + 90*y**3/7 - 1073*y**2. Factor i(q). 3*(q + 5)*(q + 36)/7 Let l(p) = p**4 + 5*p**3 - 7*p**2 - 17*p - 12. Let c(q) = -8*q**4 - 34*q**3 + 54*q**2 + 118*q + 83. Let x(a) = -2*c(a) - 15*l(a). Suppose x(w) = 0. What is w? -1, 2, 7 Let m(v) be the first derivative of -2*v**3/3 - 375*v**2 + 752*v + 876. Find f, given that m(f) = 0. -376, 1 Find q, given that 778*q - 834*q + 40*q**2 - 34*q**2 + 2*q**3 = 0. -7, 0, 4 Let k(j) be the second derivative of 0 - 1/4*j**4 + 68*j**3 - 23*j - 6936*j**2. Let k(p) = 0. What is p? 68 Let o = 66905/100272 - 19/33424. Factor 26/3*a**3 + 0 - o*a**4 + 0*a + 0*a**2. -2*a**3*(a - 13)/3 Factor 452 - 154*h - 250*h**2 + 376*h + 248*h**2. -2*(h - 113)*(h + 2) Suppose -20*g = -68 + 308. Let p be 14*(-1)/g*(-45)/(-140). Factor -p*r**2 + 15/4*r - 75/8. -3*(r - 5)**2/8 Let h(z) = 80*z**2 + 1544*z - 1554. Let v(t) = 17*t**2 + 309*t - 311. Let l(j) = 6*h(j) - 28*v(j). Factor l(i). 4*(i - 1)*(i + 154) Suppose 21*s - 153 = 3480. Let r = -862/5 + s. Solve -3/5*u**2 - r - 6/5*u = 0 for u. -1 Let u(o) = 82*o**4 - 1575*o**3 + 1125*o**2 - 14*o - 87. Let l(b) = 20*b**4 - 394*b**3 + 282*b**2 - 3*b - 22. Let a(f) = -9*l(f) + 2*u(f). Solve a(w) = 0. -1/4, 1/2,
{ "pile_set_name": "DM Mathematics" }