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5, 2, -1/7, s. s, -1/7, 0.5, 2 Let c = 11097/287 - 15574451/400365. Let z = c + 2/155. Put 3/2, z, -1/5, 0 in descending order. 3/2, 0, -1/5, z Let h = -2859 - -2850. Let n = -3 - -7/2. Put 3, n, h in descending order. 3, n, h Let c(g) = g**3 + g**2 + g + 3. Let o be c(0). Suppose -1 - 25 + 57 = 31*f. Sort f, o, 46 in increasing order. f, o, 46 Let p = -0.12 - -0.3. Let v = -2149 - -2149.1. Put p, v, -3 in ascending order. -3, v, p Let b = 44 - 38. Let t be (3/(-6))/(b/4). Sort 2/15, t, -2, -5. -5, -2, t, 2/15 Let p = -15873 - -15879. Let r = 7.3 + -7. Sort p, 1/4, r in increasing order. 1/4, r, p Let l = -6.94 + 7.04. Sort -1/3, l, 99. -1/3, l, 99 Suppose 2*o + 3*s = -5, 2*o = 7*o + 3*s + 8. Sort 4, o, -5 in ascending order. -5, o, 4 Let b(m) = -7*m - 7. Let r be b(15). Let a be 2/14 - (-128)/r. Sort -0.4, 1/3, 3, a in ascending order. a, -0.4, 1/3, 3 Let v = 452 - 427. Sort 5, v, 1 in increasing order. 1, 5, v Let u = -3953.8 + 3953. Let v = 3 + -3. Sort u, v, 2/3 in ascending order. u, v, 2/3 Let a(p) = p**3 - 9*p**2 + 2. Let t be (36/10)/((-4)/(-10)). Let y be a(t). Put -4, y, 7 in ascending order. -4, y, 7 Let r be (15/12)/((-2)/(-8)). Let y = 179 - 179.97. Let t = y + 0.87. Sort -6, r, t in descending order. r, t, -6 Let u = -46 + 48. Let f be u + -1 - (-6 - -5). Let d = 0 - 1. Sort -6, f, d in increasing order. -6, d, f Let o = -4 - -7. Suppose -o*i + 6*i = -33. Let t = 584 - 582. Put 0, t, i in decreasing order. t, 0, i Let m = 1.8 + -1.6. Let k = 7.8 + m. Let i = k - 6. Sort i, -2/9, 6 in increasing order. -2/9, i, 6 Let h = 5 + 0. Suppose -h*i = -3*i + 6. Suppose 39 = -4*f - m, 0 = 7*f - 2*f - 2*m + 39. Sort f, 4, i. f, i, 4 Let f = -259/972 + 4/243. Put -2/13, f, 15 in ascending order. f, -2/13, 15 Let x = -101.4 + 95.4. Let a = 0 + -5. Sort a, 6, x. x, a, 6 Let n = -21.1 - 4.9. Let h = 763.9 + -763.5. Sort -5, h, n in decreasing order. h, -5, n Let x = 13 - 8. Let c(f) = 2*f + 5. Let k be c(-3). Put x, k, 2/25 in descending order. x, 2/25, k Let s = -43.7 - -43.2. Sort 4, 88, s in increasing order. s, 4, 88 Suppose -10*i + 5*i + 31 = 4*y, i - 3*y + 9 = 0. Sort -51, i, -2, -4 in increasing order. -51, -4, -2, i Suppose 0 = 15*i - 16*i - 4. Sort -1, i, -11. -11, i, -1 Let m = -1163 - -1159.152. Let f = m - 0.152. Sort f, 0, 4, 0.1. f, 0, 0.1, 4 Let p(z) = -4*z**3 - 2*z**2 + 1. Let y be (-2)/11 + 13/11. Let w be p(y). Let g(h) = h + 4. Let s be g(-7). Sort -2, w, s in decreasing order. -2, s, w Suppose 0 = s, 2*s + 3 = 2*q - 1. Suppose 0 = -2*y - 5*i + i - 6, 0 = -3*y + 4*i - 19. Sort q, -1, y. y, -1, q Let k = -5 - -9. Suppose k*v = v - 2*o - 16, v - 8 = 2*o. Let n be -2 - (v - (0 - 0)). Put n, -1, 4 in increasing order. -1, n, 4 Suppose -20 = -f + 5*q, 5*f = -2*q - 13 + 5. Suppose 2*t - 4*l - 18 = 0, -2*t + 3*l = -f*t - 13. Let n = -406/45 - -44/5. Sort t, -0.08, n. t, n, -0.08 Let u = 1 + -1.25. Let s be (-20)/(-8) + (-1)/2 - (-2 + 3). Put 1/2, u, s in ascending order. u, 1/2, s Suppose -4*a = -4*t + 8, -3*t + 4*a = 2*t - 5. Let m = 0.306 - 0.106. Sort m, -15, t in decreasing order. m, t, -15 Let d(h) = -h**3 + 3*h**2 - 1. Let q be d(2). Suppose r = 2*r + q. Let p(i) = i**2 + 3*i - 3. Let o be p(r). Sort o, 2, -5. -5, o, 2 Let d = -960 - -956. Suppose 4 = 2*s - 2. Sort 1, d, -2, s in increasing order. d, -2, 1, s Let q = 1402 + -1402.5. Put q, 45, 2 in descending order. 45, 2, q Let k = 0.3 + 0.2. Let y = -506/3 - -3716/21. Let n = y + -95/14. Sort 4, n, k in descending order. 4, n, k Let m(u) = 19 + u - 40 + 27. Let n be m(-5). Let l(x) = x + 5. Let w be l(-7). Sort -7, w, n. -7, w, n Suppose 2*m - 3*m = -4*q - 12, -3*q - 9 = m. Suppose 0 = f + f + 2. Sort m, -2, -9, f in decreasing order. m, f, -2, -9 Let z = -1 - -4. Let s = -480 - -475. Put 11, z, s in increasing order. s, z, 11 Let q be 24/(-16) + (-14)/4. Let z(n) = n**2 + 7*n - 81. Let h be z(-13). Put q, -2, h, 4 in descending order. 4, -2, h, q Suppose 86*m - 83*m + 17 = 4*u, 0 = -5*u + 3*m + 22. Suppose -5*b - 1 = -2*w - 14, 0 = 3*b - 2*w - 7. Put -1, b, u in decreasing order. u, b, -1 Let f = -5.27 - -5. Let a = -0.03 + f. Let h = 2.9 + -3.3. Sort a, h, 1 in descending order. 1, a, h Let g be ((-11)/(-22))/(3/(-6)). Put g, -20, -4 in ascending order. -20, -4, g Let r = 926 + -923. Put 2, 0, r, 7 in increasing order. 0, 2, r, 7 Let p = -3/814 + -202/407. Put 76, 1, p in decreasing order. 76, 1, p Suppose 15*x - 3 = 16*x. Suppose -2*o - 3*j - 13 = 0, 0 = -2*o + 5*o + 3*j + 18. Put x, 5, 4, o in ascending order. o, x, 4, 5 Let h = -4 - -1. Let d(p) = -p**3 + 2*p**2 + 7*p - 3. Let v be d(3). Sort v, h, -5. -5, h, v Let t(c) = -c**2 + 5*c + 1. Let y be t(5). Suppose -v + y = -2. Suppose 38 = -222*m + 241*m. Put m, v, 1 in ascending order. 1, m, v Let l(p) = p**2 - p - 2. Let y be l(0). Let i be ((-5)/15)/(y/(-18)). Sort i, -1, 0.2 in increasing order. i, -1, 0.2 Let c(r) = -r**3 - 5*r**2 + 6. Let p be c(-5). Let n = p - 10. Let f be (-19 + 3)/2 - n. Sort 4, f, 3. f, 3, 4 Let r be (-5)/(20/(-16)) + -8. Let y(j) = 3*j**2 + 1. Let a be y(1). Sort a, r, -5 in descending order. a, r, -5 Suppose -20*z - 11*z = -93. Suppose 14 = -4*q - 6. Sort q, z, -4, 5 in decreasing order. 5, z, -4, q Suppose 5*b + 2*x = 6, -x + 0*x + 6 = 4*b. Suppose -5*k + 10 = -2*v, -k - 14 = -2*v - b*k. Put -3, -4, v in decreasing order. v, -3, -4 Let c = -0.8 + 9.8. Let q = 5 - c. Let g = 1.9 - 4.9. Sort -1, q, g in increasing order. q, g, -1 Suppose 0 = 2*o + 2*x, o + 3*x - 24 = 8*x. Let d = 50 - 50. Suppose 2*f = -0 - d. Sort o, f, -1 in increasing order. -1, f, o Suppose 0*m + 2*m = 4*z + 174, 2*z - 4 = 0. Let k = 86 - m. Let i be 30/7 - (-2)/(-7). Sort i, k, -3 in increasing order. k, -3, i Let k = -1.13 - -0.63. Sort -5/4, -1, k, -2/19 in descending order. -2/19, k, -1, -5/4 Suppose 0 = 5*z - 7*f + 3*f - 16, -3*z - 2*f + 14 = 0. Let q = -47 + 47.77. Let c = 0.87 - q. Sort z, c, -2/15 in decreasing order. z, c, -2/15 Let j be (24/(-16))/((-6)/(-4)). Put 0, -4, j, 4 in ascending order. -4, j, 0, 4 Let c = 379.1 + -360.31. Let l = 2.85 - c. Let k = -16 - l. Put 5, k, 0.3 in descending order. 5, 0.3, k Let w(p) = -2*p**2 - 3*p - 31. Let b be w(-5). Put b, -3/4, 0 in ascending order. b, -3/4, 0 Suppose -p + 5*i - 23 = 0, p - i + 13 = -6*i. Sort -2, p, -1. p, -2, -1 Let j = -358.49 + 324.5. Let g = 0.01 - j. Let i = 34.2 - g. Sort i, 4, -2 in decreasing order. 4, i, -2 Suppose -2*u - 3 = -5*x + 7, -x - 5*u = -29. Let g = -17 - -19. Put x, 0, 5, g in increasing order. 0, g, x, 5 Suppose -b + 3*b = -10. Let w = 73 - 70. Suppose -3 = -w*t + 4*t. Sort t, -4, b in increasing order. b, -4, t Let m = -0.2402 + 0.6402. Suppose 5 = 2*g - 3*g. Sort 2/13, g, -2, m. g, -2, 2/13, m Let k = 611 + -691.6. Let g = k + 81. Put g, 5, 1/6 in decreasing order. 5, g, 1/6 Suppose -2*u = l - 6*u - 24, -25 = 5*u. Sort l, -2, -5, 0 in ascending order. -5, -2, 0, l Let i be ((-27)/45)/(1/(-5)). Let o(l) = -l**3 - 8*l**2 - 4. Let v be o(-8). Sort 4, v, i. v, i, 4 Let g = -11.42 + 7.76. Sort -2, g, 0 in decreasing order. 0, -2, g Suppose 3*q + q - 24 = 0. Let c = 52 + -52. Sort q, 2, c in ascending order. c, 2, q Let v = 378 + -378. Sort 1, v, -4 in increasing order. -4, v, 1 Let q be 8 + -8 - (0 - -1). Suppose -14*l + 3 = -13*l. Sort -4, q, l in increasing order. -4, q, l Suppose 2*h + 8 = 6*h - g, 0 = -2*h - g + 4. Let x be (0 - 2)*6/4. Sort x, -5, h, -4 in descending order. h, x, -4, -5 Let y(a) = a**2 - 2*a + 3. Let b be y(2). Suppose 2*m = -20*m - 44. Put m, 0, -5, b in ascending order. -5, m, 0, b Let u = -72 + 70. Let f = -16 + 18. Sort -1, f, 4, u. u, -1, f, 4 Suppose 0 = -79*h + 87*h - 24. Let b(v) = 47*v - 2. Let x be b(-2). Let l be x/(-18) + 2/(-6). Sort h, 2, l. 2, h, l Let o(u) = 65*u + 36. Let y be o(-1). Sort -2, 1, y in decreasing order. 1, -2, y Suppose 0*w + 13 = 5*i - w, -2*i = 2*w + 2. Let f be (-14)/(-63) + i/(-9). Sort 2, f, 7. f, 2, 7 Let u = 337/147 - -2/49. Put 7, u, -4 in decreasing order. 7, u, -4 Let w = 240 + -242. Put w, -56, -1, -3 in decreasing order. -1, w, -3, -56 Suppose 6*r + r = 0. Let m be -4*1/(r + -1). Put -2, 0, m in increasing order. -2, 0, m Let d = 31 + -27. Let j = 7.11 + -0.11. Let f = d - j. Put 6, f, -0.5 in decreasing order. 6, -0.5, f Let s be ((-13)/(-91))/((-1)/(-7)). Put 58, -1,
{ "pile_set_name": "DM Mathematics" }
-3 - d) + -4? 2, 5, 7 Let g(b) be the second derivative of 11*b**4/12 - 7*b**3/6 + b**2/2 - 38*b. List the prime factors of g(3). 79 Let q = 69 + 556. What are the prime factors of q? 5 Let i(p) = -287*p**3 + 4*p**2 + 5*p. List the prime factors of i(-2). 2, 1151 Let p = -845 - -1494. What are the prime factors of p? 11, 59 Let g be ((-119)/2)/(15/10 + -2). Suppose 40 = 3*a - g. What are the prime factors of a? 53 Let m = 55 - 48. Suppose 109 - m = z. List the prime factors of z. 2, 3, 17 What are the prime factors of (-6120)/(-170)*(-421)/(-3)? 2, 3, 421 Suppose -341 - 135 = -y - l, 3*l - 1902 = -4*y. What are the prime factors of y? 2, 3, 79 Let o be -2*-58*3/12. Let j = o + -11. List the prime factors of j. 2, 3 Let m be 2/4*(3 - 3)/3. Suppose 4*l - 9*l + 335 = m. List the prime factors of l. 67 Let a = 463 - 50. Let o = a - 255. What are the prime factors of o? 2, 79 Suppose -6*k + 3*k - 36 = 0. Let q be (-16)/(-6) - (-8)/k. Suppose -q*w = 2 - 40. List the prime factors of w. 19 Let c(f) = -177*f + 84. What are the prime factors of c(-5)? 3, 17, 19 Let x(p) = 14*p**2 - 17*p - 22. What are the prime factors of x(10)? 2, 151 Let i(v) = 4*v - 2. Let n(c) = -23*c + 13. Let t(a) = 34*i(a) + 6*n(a). Let w be t(8). List the prime factors of (62/w)/((-1)/3). 31 Let j be (29 - 26)/((-10)/(-4) + -1). Suppose 3*q + q = -12. List the prime factors of j/q*120/(-2). 2, 5 Suppose 692 = -2*w - 180. Suppose 3*v = -v - 84. What are the prime factors of 3/v + w/(-14)? 31 Let i(c) = -6*c - 11. Let x(g) = -10*g - 1. Let p be x(2). Let y = p - -17. What are the prime factors of i(y)? 13 Let w(y) be the first derivative of -39*y**2/2 + 24*y + 12. What are the prime factors of w(-3)? 3, 47 Let j = 4124 + -2746. What are the prime factors of j? 2, 13, 53 Let b = 7 - 28. What are the prime factors of (-14)/b*279/2? 3, 31 Suppose 3*z + 139 = -260. Let x = -72 - z. What are the prime factors of x? 61 Suppose 4*w = 7*w - 99. Let l = w - 12. What are the prime factors of l? 3, 7 Suppose 3*s - 2*q - 78 = 2*q, 2*s + 4*q = 52. What are the prime factors of (((-164)/3)/(-1))/(s/39)? 2, 41 What are the prime factors of ((-1)/(-4))/(13/45656)? 2, 439 Suppose 11*o - 18772 = -8*o. What are the prime factors of o? 2, 13, 19 Suppose -3*o = -5*z, -3*o + 9 = 3*z - 5*z. Suppose -2*s - 4*j + 42 = 0, -4*s + o*j + 110 = -0*s. List the prime factors of s. 5 Suppose 0 = -3*n + 4*h + 40, -5*n - 4*h + 25 = -31. Let l be (-15)/6*n/(-10). Suppose 0 = l*t + 5 - 29. What are the prime factors of t? 2 Let k(u) = 3*u + 21. Let v be k(-7). Suppose v = -4*l + 5*a + 86 + 143, -179 = -4*l - 5*a. What are the prime factors of l? 3, 17 Let w = 522 + -204. What are the prime factors of w? 2, 3, 53 Let k be 7/(42/(-164)) + (-4)/6. Let y be 1/(1/57) - 1. Let u = k + y. What are the prime factors of u? 2, 7 Let a(d) = -3*d + 29. Let m be a(13). Suppose -35 = 6*z - z. Let p = z - m. List the prime factors of p. 3 Suppose -4*q + 8 = n, -40 = -5*n - 2*q + 6*q. Suppose -3*o = -98 + n. List the prime factors of o. 2, 3, 5 Let o be 1 - (-250)/(6 - 1). Suppose 4*w - 109 = o. List the prime factors of w. 2, 5 List the prime factors of (-6)/2 + 1 + -4 + 398. 2, 7 Let z(s) = -s - 1. Let q be z(4). List the prime factors of q + 7/(14/160). 3, 5 Let h = 24 - 20. Suppose -h*f - 85 = -901. List the prime factors of f. 2, 3, 17 Let b(c) = -99*c**3 - 2*c**2 - 2*c - 1. Suppose -u - 3 = 2*u. List the prime factors of b(u). 2, 7 Suppose -4*t = -5*l - 6528, 2*t - 9*l - 3270 = -8*l. List the prime factors of t. 1637 Suppose 3*w - 222 = 99. What are the prime factors of w? 107 Let y(j) = 4*j**2 + 17*j - 21. List the prime factors of y(9). 2, 3, 19 Let r(l) be the first derivative of -l**3/3 + 9*l**2/2 + 10*l - 14. What are the prime factors of r(7)? 2, 3 Let f(y) = -667*y - 40. What are the prime factors of f(-3)? 37, 53 Let k(b) = -2*b**3 - 5*b**2 + 2*b. Let m be k(-3). Suppose 0*d + 4*d - 24 = -4*o, -m*o = -3*d + 36. List the prime factors of d. 3 Let o = -21 - -21. Suppose 7*t - 8*t + 8 = o. List the prime factors of t. 2 Let b = 0 + 3. Let l(k) = k**2 + 19*k + 34. Let c be l(-17). Suppose c*g - b = -g. What are the prime factors of g? 3 Let z = 204 - 116. Let q = 150 - z. List the prime factors of q. 2, 31 Suppose 4*h - p + 458 = p, 3*h + 354 = -2*p. Let q = 225 + h. What are the prime factors of q? 109 Let z = 2607 + -1383. List the prime factors of z. 2, 3, 17 Let d be (-281)/(-3) - 10/(-30). Suppose -5*i + i + 2*l = -416, -i + d = -3*l. What are the prime factors of i? 2, 53 Suppose 4*x + 704 = 5*x. List the prime factors of x/14 + 18/(-63). 2, 5 Suppose -6 = -p - 10. List the prime factors of 0/(-4) + 51 - p. 5, 11 Suppose 168*y = 183*y - 32115. What are the prime factors of y? 2141 Let i(m) = 46*m**2 - 8*m - 25. List the prime factors of i(-4). 743 Let x(v) = -v - 1. Let u be x(-3). Suppose -k + 5*a = -u, 0*a + 40 = 3*k + 2*a. List the prime factors of (2 - -14)*k/8. 2, 3 Suppose -4*a = 4*p - 78 - 74, -3*p + 116 = 5*a. What are the prime factors of p? 37 Let x be (-24)/32*4/(-6)*38. Suppose -x*o + 1623 = -4362. List the prime factors of o. 3, 5, 7 Let o = -3 - -3. Let x(a) = a**2 + 4*a + 3. Let p be x(-7). Suppose 4*h - h - p = o. List the prime factors of h. 2 Suppose -4*i = 2*d - d - 63, 5*i - 95 = 2*d. Suppose 3*k + 5 = -4, -k = -5*f - i. Let p(u) = -10*u - 11. List the prime factors of p(f). 29 Suppose -3*n + 4*f = n - 3428, 2*f = -10. What are the prime factors of n? 2, 3, 71 Let p = -1385 + 2220. What are the prime factors of p? 5, 167 Suppose 140 - 50 = 3*s. Let a = -51 - -71. Let l = s - a. List the prime factors of l. 2, 5 Let r = -2831 - -5585. What are the prime factors of r? 2, 3, 17 Let s(j) be the second derivative of j**5/20 + j**4 + 7*j**3/3 - 5*j**2 + 2*j. List the prime factors of s(-10). 2, 5 Let j(q) = 2 + 2522*q**2 + q + 0*q - 2483*q**2. List the prime factors of j(-1). 2, 5 Suppose -44 - 42 = -4*t - 2*m, 2*t - 5*m = 37. List the prime factors of t. 3, 7 Suppose 4*m - 720 = -4*m. Let v = m + 133. What are the prime factors of v? 223 Let g = -58 - -61. Suppose g*i + 485 = 4*u + 87, 0 = -5*u - i + 507. What are the prime factors of u? 101 What are the prime factors of 7524/(-30)*(-25)/10? 3, 11, 19 Suppose 0 = 2*n + 4*f - 40, -2*n + f + 3*f = -72. List the prime factors of n. 2, 7 Let d be (8/6)/((-10)/8775). Let x be d/35 + (-6)/(-14). Let i = x - -56. List the prime factors of i. 23 Let d = 453 + -229. What are the prime factors of d? 2, 7 Let x be (1 - -1) + (-58)/(-1). Let r = 89 - x. Let p = r - 23. List the prime factors of p. 2, 3 Let d(i) = i**3 + 3*i**2 - 8*i - 15. Let b be d(-6). What are the prime factors of 17 - (b/(-5))/5? 2, 7 Let p be 3 + -2 + 4 - 0. Let w = -79 + 74. List the prime factors of -2*w/(p/6). 2, 3 Let t be 1 + 4 + (3 - 3). Suppose -f - i = 17, f + 0*i + 29 = -t*i. Let g = f - -45. What are the prime factors of g? 31 Let w = 114 - 118. List the prime factors of 55/44 - 711/w. 179 Let l = -26 - -110. Let t = l - 8. List the prime factors of t. 2, 19 Let p(c) = c**2 - 4*c + 4. Let k be p(4). Let i(g) = 8*g - 109. Let h be i(14). Suppose k*a = h*q + 175, -3*q + 2*q - 125 = -3*a. List the prime factors of a. 2, 5 Let t = 7 + -5. Suppose -t*z - 74 = -3*z. List the prime factors of z. 2, 37 List the prime factors of (-457230)/(-70) - 66/77. 3, 7, 311 Suppose 0 = 6*h + 10 + 50. Let a(s) = s**2 + 10*s + 2. Let q be a(h). Suppose -2*o = 5*r - 63, -q*r + 4*r + 18 = o. List the prime factors of o. 2, 3 Let q(n) = -9*n - 5. Let c be q(-1). Suppose -2*x - 48 = j - 122, -c*j + 5*x = -296. List the prime factors of j. 2, 37 Suppose 3*k + 3*u = 414, -2*k = -0*u - 5*u - 255. Let v = 236 - k. List the prime factors of v. 101 Let w(o) = o**2 + 16*o + 15. Let l be w(-15). Let p(m) be the first derivative of -m**4/4 - m**3/3 - m**2/2 + 23*m - 1. List the prime factors of p(l). 23 Let w = -6230 - -8727. What are the prime factors of w? 11, 227 Suppose 2 + 31 = 3*h - 3*z, -19 = -5*h - 4*z. Suppose -d + 35 = -3*q, 0 = 3*d + q - 78 - h. List the prime factors of d. 29 Suppose -w + 2 = 0, -5*w = 5*n - 1524 - 841. What are the prime factors of n? 3, 157 Let j(w) = -w**3 + 21*w**2 + 24*w - 16. What are the prime factors of j(21)? 2, 61 Let s(p) = p**3 - 17*p**2 + 17*p - 10. Suppose 80 = -2*c +
{ "pile_set_name": "DM Mathematics" }
3, h: 2, r: 5}. Give prob of picking 2 x. 1/40 Calculate prob of picking 1 s, 1 g, and 2 n when four letters picked without replacement from gnnnsssnsnsnnnnnss. 7/68 Two letters picked without replacement from viwwgaxgx. What is prob of picking 2 w? 1/36 Calculate prob of picking 2 w and 2 q when four letters picked without replacement from qqwqwqqqqqqqqqqqqqq. 2/57 Calculate prob of picking 4 y when four letters picked without replacement from yjyyyyjyyjyyyyjjyyy. 1001/3876 What is prob of picking 1 l and 1 q when two letters picked without replacement from irqqdqrqrwrqwlq? 2/35 Calculate prob of picking 2 v when two letters picked without replacement from {x: 5, v: 2, e: 4, m: 2, y: 1}. 1/91 Two letters picked without replacement from pyppyyppyyppyppppp. Give prob of picking 1 p and 1 y. 8/17 What is prob of picking 1 z and 1 x when two letters picked without replacement from zxxxzzzxxzzxz? 7/13 Two letters picked without replacement from {b: 3, c: 5, k: 8, o: 2, r: 1}. What is prob of picking 2 k? 28/171 What is prob of picking 1 a, 2 m, and 1 w when four letters picked without replacement from {d: 4, z: 1, m: 5, v: 3, a: 3, w: 1}? 3/238 What is prob of picking 1 w and 1 e when two letters picked without replacement from {w: 4, q: 1, e: 2, x: 3}? 8/45 Calculate prob of picking 2 r and 1 o when three letters picked without replacement from {o: 10, r: 2}. 1/22 What is prob of picking 2 o, 1 e, and 1 a when four letters picked without replacement from appooep? 1/35 Calculate prob of picking 2 z when two letters picked without replacement from {k: 1, i: 3, n: 3, z: 2, u: 7, h: 3}. 1/171 Two letters picked without replacement from tda. Give prob of picking 1 t and 1 a. 1/3 Two letters picked without replacement from pbbbpb. What is prob of picking 2 p? 1/15 Calculate prob of picking 1 j and 1 v when two letters picked without replacement from qofqjqfofrv. 1/55 What is prob of picking 1 h and 2 r when three letters picked without replacement from {s: 2, h: 2, q: 4, n: 3, p: 2, r: 3}? 3/280 Three letters picked without replacement from {d: 5, i: 1, x: 2, u: 1, m: 3}. Give prob of picking 1 u, 1 d, and 1 i. 1/44 Two letters picked without replacement from {d: 2, w: 4, c: 1}. Give prob of picking 2 d. 1/21 What is prob of picking 2 c and 1 o when three letters picked without replacement from {o: 1, z: 1, c: 2}? 1/4 Three letters picked without replacement from {k: 1, a: 1, p: 2, o: 1}. What is prob of picking 1 a and 2 p? 1/10 What is prob of picking 2 o when two letters picked without replacement from grrgowppooog? 1/11 What is prob of picking 2 l when two letters picked without replacement from llollqqo? 3/14 Three letters picked without replacement from wwwwwwwww. What is prob of picking 3 w? 1 Calculate prob of picking 1 x, 1 b, and 1 m when three letters picked without replacement from mimcxbcmmbxcmcxx. 1/14 Calculate prob of picking 1 h, 1 a, and 1 p when three letters picked without replacement from hpyznnya. 1/56 Four letters picked without replacement from {i: 2, k: 7, c: 9}. Give prob of picking 3 k and 1 i. 7/306 Two letters picked without replacement from {j: 4, w: 8, o: 2}. Give prob of picking 1 w and 1 j. 32/91 What is prob of picking 1 e and 2 i when three letters picked without replacement from ieeiieieeuiii? 105/286 Three letters picked without replacement from nnnlllnn. What is prob of picking 3 n? 5/28 What is prob of picking 3 i when three letters picked without replacement from ihiiiieiiiiiiii? 22/35 What is prob of picking 3 y and 1 h when four letters picked without replacement from {h: 5, y: 14}? 455/969 Two letters picked without replacement from gktffftqqfbq. Give prob of picking 1 k and 1 b. 1/66 What is prob of picking 1 b and 1 y when two letters picked without replacement from {r: 6, b: 5, y: 1, f: 4}? 1/24 Two letters picked without replacement from {b: 5, a: 1, q: 1, g: 3, i: 5}. What is prob of picking 1 i and 1 q? 1/21 Calculate prob of picking 2 c when two letters picked without replacement from {c: 10, t: 10}. 9/38 Calculate prob of picking 2 x and 2 i when four letters picked without replacement from {x: 8, i: 4, b: 3, a: 2}. 6/85 Four letters picked without replacement from elqjfqleffnene. What is prob of picking 1 n, 1 j, and 2 q? 2/1001 Four letters picked without replacement from {m: 2, c: 6, s: 2, a: 1, u: 1}. Give prob of picking 2 s, 1 u, and 1 m. 2/495 Calculate prob of picking 1 m and 2 b when three letters picked without replacement from {b: 4, m: 7}. 14/55 Four letters picked without replacement from {d: 5, e: 3, o: 1, v: 6}. Give prob of picking 2 d and 2 e. 2/91 Three letters picked without replacement from {z: 1, o: 3, n: 1, y: 2}. Give prob of picking 1 o and 2 y. 3/35 Two letters picked without replacement from {q: 2, y: 3, p: 3}. What is prob of picking 2 y? 3/28 Two letters picked without replacement from muejzuu. What is prob of picking 1 u and 1 m? 1/7 Four letters picked without replacement from {w: 2, o: 6}. Give prob of picking 4 o. 3/14 What is prob of picking 2 g and 1 b when three letters picked without replacement from {k: 4, g: 2, b: 1}? 1/35 Four letters picked without replacement from {z: 7, a: 5}. What is prob of picking 4 z? 7/99 Calculate prob of picking 2 h when two letters picked without replacement from {m: 3, h: 4}. 2/7 Four letters picked without replacement from {q: 2, z: 1, p: 3, x: 1, g: 3, n: 1}. Give prob of picking 1 n, 2 p, and 1 x. 1/110 Three letters picked without replacement from llyxslssxsssyxzsxlvl. Give prob of picking 1 x, 1 z, and 1 v. 1/285 Two letters picked without replacement from ixf. What is prob of picking 1 f and 1 i? 1/3 Three letters picked without replacement from {r: 1, g: 1, j: 1, s: 5, e: 1}. What is prob of picking 1 s and 2 j? 0 What is prob of picking 1 h and 1 n when two letters picked without replacement from fgknhggnhhnnnn? 18/91 Four letters picked without replacement from eeeazzaezaejzegje. What is prob of picking 1 e, 1 j, 1 a, and 1 z? 6/85 What is prob of picking 1 x and 2 d when three letters picked without replacement from txbttkakakdbb? 0 Three letters picked without replacement from {r: 3, h: 1}. What is prob of picking 2 r and 1 h? 3/4 What is prob of picking 1 s and 1 x when two letters picked without replacement from {s: 1, j: 1, e: 1, x: 1, v: 1}? 1/10 Three letters picked without replacement from kkkyyyyykkyykk. What is prob of picking 1 k and 2 y? 21/52 Three letters picked without replacement from xuuuiqqquiuqqiuicq. What is prob of picking 1 x, 1 u, and 1 q? 3/68 Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, c: 4, t: 1}. 3/28 Two letters picked without replacement from {r: 3, x: 2}. Give prob of picking 2 r. 3/10 Two letters picked without replacement from {g: 2, e: 17}. Give prob of picking 1 g and 1 e. 34/171 What is prob of picking 1 j, 1 v, and 1 o when three letters picked without replacement from vlwozjz? 1/35 What is prob of picking 4 j when four letters picked without replacement from {h: 6, j: 4, x: 4, c: 3}? 1/2380 Two letters picked without replacement from {q: 5, h: 3, x: 1}. Give prob of picking 1 q and 1 h. 5/12 Four letters picked without replacement from vjvqjjjqvpvjvvjvd. What is prob of picking 1 v, 1 p, 1 q, and 1 d? 1/170 Four letters picked without replacement from {d: 4, c: 4, e: 1, p: 2}. Give prob of picking 1 e, 1 d, and 2 c. 4/55 Four letters picked without replacement from ifffffffcff. Give prob of picking 4 f. 21/55 Four letters picked without replacement from {h: 1, z: 2, g: 3, n: 1, f: 3, v: 2}. Give prob of picking 2 z and 2 g. 1/165 What is prob of picking 2 b when two letters picked without replacement from bbbbbbbbkbbbbbb? 13/15 Calculate prob of picking 2 e when two letters picked without replacement from qeeelll. 1/7 What is prob of picking 1 t and 1 v when two letters picked without replacement from vtttvttvtttvvtvttt? 8/17 Four letters picked without replacement from {q: 1, j: 2, n: 4, f: 3}. Give prob of picking 1 f and 3 n. 2/35 Three letters picked without replacement from wuyvy. What is prob of picking 1 y, 1 u, and 1 v? 1/5 Two letters picked without replacement from {h: 3, e: 11}. What is prob of picking 2 e? 55/91 Two letters picked
{ "pile_set_name": "DM Mathematics" }
- 58 + 94) - w + w - w**2 + (-w + 0 + 0)*(-14 + 14 + 15*w) as a*w**2 + g*w + q and give a. -90 Express -70*b + 110*b - 55*b + 1 - 22*b**2 in the form z*b**2 + u + o*b and give z. -22 Rearrange 21*w**4 - 39*w**4 + 415 - 831 + 20*w**4 - 3*w**3 + 2*w + 2*w**2 + 419 to b*w**2 + h*w**3 + l*w + v + n*w**4 and give l. 2 Express -229*q + 782*q - 63 + 2100*q + 63 as k + t*q and give t. 2653 Express -133*n - 1000*n**4 - 27*n + 186*n - 2*n**2 - 28*n as a*n**4 + l*n + m*n**2 + p*n**3 + v and give a. -1000 Express w**4 + 16*w**2 - 6*w - 17*w**2 + 4*w + 2*w**3 + 0*w**4 + 5*w in the form b + p*w**2 + c*w**4 + u*w + h*w**3 and give u. 3 Express -2153 - 4*z**4 - 51*z**3 + 3*z**2 + 2*z + 5*z**4 + 2155 in the form h*z + n*z**4 + v*z**3 + y*z**2 + w and give v. -51 Rearrange -2*x**3 + x**2 + 37*x - x**2 - 2*x + 6*x**2 + 1 + 2*x**2 to the form j*x**3 + d*x + v*x**2 + k and give j. -2 Express 18229*r**4 - r + 8*r**2 - 18196*r**4 + 8 - 10*r**2 + r**3 as f*r**2 + n + k*r**3 + c*r + x*r**4 and give k. 1 Express -2286*h**3 - 1539*h**3 + 4*h - 3 + 64*h**3 + 58*h**3 - 3*h as r*h**3 + t + n*h**2 + x*h and give x. 1 Rearrange 2*n**3 - 791 + 792 + 45*n**2 - 48*n**2 - 18*n to v*n + z + a*n**2 + u*n**3 and give z. 1 Rearrange 3 - 4*n**2 - 792*n + 9*n**2 + 10*n**3 - 2*n**4 - 2*n**3 + 798*n - 6*n**2 to the form t*n**4 + x*n + q + j*n**2 + m*n**3 and give j. -1 Rearrange (-309 + 69*x + 309)*(-3 + 3 + 2*x) + (-21*x**2 + 25*x**2 + 10*x**2)*(-1 + 3 - 1) to the form k + u*x + b*x**2 and give b. 152 Rearrange 2*y**2 + 2*y**3 - 87641 - 3*y**2 + 87653 - 11*y - 3*y**3 to the form b*y**3 + w*y + m + v*y**2 and give w. -11 Rearrange -20*k**4 - 3*k - 28 + 20*k**3 + 18*k**4 + 33 to the form c*k**3 + a*k**4 + q*k + y + v*k**2 and give y. 5 Express -31 + 2*q + 2*q + 0*q**2 - 2*q**2 + q**3 + q**3 - q as v*q + o*q**2 + b*q**3 + h and give v. 3 Rearrange -15*g + 22091 - 40*g**2 - g - 22090 to the form x + s*g**2 + b*g and give b. -16 Express 14*x**2 + 4*x + 15504342 + 0*x**3 - 15504339 + x**3 as z*x**2 + j + h*x**3 + s*x and give z. 14 Rearrange (-4369*b**2 + 8384*b**2 - 5396*b**2)*(0*b - 2*b + b)*(-1 + 3 + 2 + 3)*(8 - 3 - 3) to the form q*b + o*b**2 + x + d*b**3 and give d. 19334 Express (3*t - 5*t - t)*(18*t + 2*t + 6*t) - 346*t + 346*t + 34*t**2 + (-4 + 4 - 2*t**2)*(1 - 5 + 3) as v*t**2 + l + r*t and give v. -42 Express (-2*c**3 + c**3 + 18*c**3)*(-15*c + 3*c - 19*c) + 39*c**4 - 278*c**4 + 85*c**4 as i*c**4 + q + v*c**3 + r*c + f*c**2 and give i. -681 Rearrange z**4 + 3*z**4 + 0*z**4 + 5*z**4 - 13*z**4 + z**4 + (-5*z**2 - 3 + 3)*(-9*z**2 + 727*z - 727*z) to a*z + l*z**4 + q + p*z**3 + i*z**2 and give q. 0 Rearrange (-35*z**2 - 163*z**2 + 351*z**2)*(1 - 39*z - 31*z + 1)*(-z + 3*z - 4*z) to p*z**3 + l*z**4 + j + b*z + h*z**2 and give l. 21420 Express 2807*w**3 + 790*w**2 + 903*w**2 + 2*w - 1542*w**2 - w**4 - 2808*w**3 as b + n*w**4 + t*w + j*w**3 + i*w**2 and give n. -1 Rearrange (3*k - k - 8*k)*(5*k + 33 - 33) - 3 - 7*k**2 + 3*k**2 + 8*k**2 + 3*k to the form w + m*k + n*k**2 and give w. -3 Express 11*f + 7*f + 2*f + 6*f**2 + 238*f**4 + 6*f - 25*f in the form l*f**3 + g + d*f**2 + n*f**4 + z*f and give n. 238 Express (38*p**3 + 174 - 78 - 94)*(3*p + 2*p - 6*p) - p**4 - 73 + 3*p**4 + 74 - 3*p**4 - 2*p**4 + 3*p**4 as m*p**4 + t*p**3 + b*p + k*p**2 + s and give m. -38 Rearrange (12 + 41 - 29)*(-7 - 5*a + 7) + (3 - 3 - 5)*(6*a - 2*a - a + (2*a - 3*a + 0*a)*(-2 + 3 + 5)) to v*a + l and give v. -105 Express (-2 - c + 2)*(13571 + 3861 + 19226 + 7468 + 4307)*(2 - 1 + 1) in the form f + n*c and give n. -96866 Express 249*h - 775*h + 1351*h**2 + 526*h as c + j*h + o*h**2 and give o. 1351 Express -185*a**4 - 2 + 2*a**2 + 65*a**4 + 103*a**4 + 99*a**4 + a**3 in the form i*a**2 + m*a + v*a**4 + d + f*a**3 and give v. 82 Rearrange (3 + 14*l - 39*l + 15*l)*(-14*l - 31*l + 3*l) + 2 - 2 + l**2 to w + s*l**2 + d*l and give d. -126 Express -11675*q**3 + 2*q + 11676*q**3 + 1502 - 2*q in the form y*q**3 + m*q + h + z*q**2 and give y. 1 Rearrange 1228*n - 893*n + 1627*n - 3 to the form p*n + g and give g. -3 Rearrange 18986*v**3 - v + 10*v**2 - 18938*v**3 + v**2 - 21*v**4 - 2 + 20*v**4 to the form k + l*v + g*v**2 + j*v**3 + p*v**4 and give l. -1 Rearrange -8 + 19 - 3 + 1 - 7 + 17*h**2 - 15*h**3 - 2*h to the form d*h + x*h**3 + v*h**2 + p and give x. -15 Express -141*a - 67*a**2 + 50*a + 1 + 43*a - 4 + 47*a in the form q*a + f*a**2 + u and give u. -3 Rearrange 9*s - 15*s**3 + 4*s**3 - 38*s**3 - 24*s**3 + 9*s**3 to z*s**3 + h*s**2 + p*s + f and give p. 9 Rearrange 7236*d + 15112*d - 15965*d - 2 + 2 to o*d + g and give o. 6383 Express 20551422*m**2 - 10*m - 20551422*m**2 + 50 - 18*m**3 as x*m**2 + d*m + o + p*m**3 and give o. 50 Express (-4 + 1 + 19*z + 6)*(-z**2 - 26*z**2 + 9*z**2 + 2*z**2 + 0*z**2 - 3*z**2 + (3*z + 2*z - 4*z)*(-6*z + z + 3*z)) as x + j*z**2 + v*z + p*z**3 and give x. 0 Rearrange 718*q**3 - 6*q**4 - q + q**4 - 715*q**3 + 8*q**2 + 3*q**4 - 2 to k*q**4 + m*q**2 + i + y*q**3 + u*q and give u. -1 Express -14387*n**3 + 26 + 14454*n**3 - 13 + 5 + 4*n in the form u + t*n**3 + o*n + m*n**2 and give o. 4 Express (-9*t - 3*t - 13*t)*(-2 - 1 + 5)*(0 - 6 + 4)*(-12 - 9 + 28)*(-t - 2 + 2) in the form a*t + p*t**2 + o and give p. -700 Express (-2*z + 2*z - z)*(2 - 1 + 1) + 4*z + 4*z - 5*z + (-6 - 12 + 4)*(6*z + 3*z - z) + 1 + z - 1 in the form l + i*z and give i. -110 Rearrange (11 - 11 - 19*c)*(-2*c + 3*c**2 + 2*c) + (4*c**2 + 36*c**2 + 2*c**2)*(-6 + 6 + 4*c) to the form v*c + x*c**3 + z + s*c**2 and give v. 0 Rearrange -15*p**4 + 331*p**2 + 11*p**4 + 8*p**4 - 313*p**2 - 2 - p**3 to j*p + r*p**2 + n + i*p**4 + k*p**3 and give n. -2 Express (0*l**2 - 2*l**2 + l**2)*(-840*l - 549*l - 279*l) as z*l + t*l**3 + a + b*l**2 and give z. 0 Express -355*q**2 + 1065*q**2 - 351*q**2 - q**3 + q - 357*q**2 in the form d*q**2 + g*q + u*q**3 + y and give u. -1 Rearrange 3*f + 6 + 2*f**3 - 8356120*f**2 - 4*f**3 + 8356298*f**2 to y*f**2 + n*f + k*f**3 + p and give p. 6 Express -s + s + 2*s**4 + (54873 - 54873 - 2*s**3)*(-9*s - s + s) in the form j*s**4 + d + c*s**3 + r*s**2 + x*s and give j. 20 Express -521*r - 519*r - 115*r + (0*r + r - 3*r)*(3 - 4 + 3) + 1 - 1 + r + 1 - 1 + r in the form i*r + j and give i. -1157 Rearrange 5*f**3 + 182*f**2 - 17*f**3 + 2 - 3*f**4 - 79*f**2 - 80*f**2 to the form z*f**4 + c*f**2 + o*f + k*f**3 + y and give c. 23 Rearrange (15 - 2 + f**2 + 117*f - 130*f)*(34 - 22 + 34) to the form w*f**2 + m*f + d and give m. -598 Express (421*t**2 - 87*t**2 - 54*t**2)*(4 - 1 - 5)*(2 - 22*t - 2) as m*t**2 + v + i*t + o*t**3 and give o. 12320 Express 310*z - 1 - 402*z**2 - 400*z**2 + 803*z**2 as d*z + a*z**2 + c and give d. 310 Rearrange -1915*f + 9682*f - 165*f to the form z*f + w and give z. 7602 Rearrange (-4*j + 55971*j**2 - 55936*j**2 + 0*j)*(-j**2 + 4*j + 2*j - 3 - 4*j) to the form i*j**4 + k*j**3 + z*j + o + u*j**2 and give u. -113 Rearrange (-1 + 3 + 0)*(12*w - 15*w + 58*w) + 491 + 19*w - 491 to the form c + h*w and give h. 129 Express 182*p - 6*p**3 + 165*p - 404*p - 2*p**2 + 1 as j*p + f*p**3 + h + o*p**2 and give h. 1 Rearrange 25*v**2 - 17*v + 33*v + 566*v**3 - 27*v**2 - 14*v to the form a*v**3 + n + l*v + j*v**2 and give l. 2 Express 4351175 - v + 5*v**3 - 4*v**3 + 3661*v**2 + 1170*v**2 - 4351175 as u*v**3 + o*v + z*v**2 + c and give z. 4831 Rearrange 55*d**2 - 9 - 94*d**2 + d + 55*d**2 - d**4 + 15 to k*d**2 + r + a*d + q*d**4 + g*d**3 and give a. 1 Rearrange -j - 9*j + 3*j + (-9 - 12 + 4)*(-25 - 8*j + 25) to the form s*j + k and give s. 129 Express (-256 - 63 + 11 + 5 + (0 + 0 + 1)*(1 + 3 - 3))*(0*f**4 - f**4 - 4*f**4) as q*f + z + l*f**4 + o*f**3 + b*f**2 and give q. 0 Express -8*t - 9*t - 205 + 5545 + 28*t - 9*t in the form o + f*t and give o. 5340 Express (44*t - 13*t**2 - 44*t)*(0*t + 5*t - 3*t)*(6*t - 12*t + 2*t - 6*t - 17*t) in the form q*t + g*t**3 + h*t**4 + a*t**2 + y and give h. 702 Rearrange 2241*d + 2076*d - 1029*d to the form k*d + j and give k. 3288 Express (-14*g**3 + 17*g**3 - 11*g**3)*(-424 - 150 + 89) - 2*g**3 + g**3 + 3*g**3 in the form h + c*g**3 + x*g**2 + t*g and give c. 3882 Express (-1414*h**3 + 378*h**3 + 5474*h**3)*(-h + 3*h - 4*h + 1)*(-3 + 3 - 1) as i + b*h**2 + c*h + p*h**3 + r*h**4 and give p. -4438 Express 1 - 67*b + 67*b + 3*b**4 + 30*b**2 + 0*b**4 - 33*b**2 - 28*b**
{ "pile_set_name": "DM Mathematics" }
second derivative of -146*b**2*m**3 + b - 46*m**3 wrt b? -292*m**3 What is the third derivative of 652*t**3 - 14*t**2 - 121*t + 1? 3912 What is the derivative of -493*i**3 + 1055? -1479*i**2 What is the third derivative of 1757*g**6 + 5*g**2 + 113*g - 2 wrt g? 210840*g**3 Find the second derivative of 114*g**2*m**2 - 2*g**2*m*y**3 - 2*g**2 + g*m**2*y**3 - 3*g*m**2*y - 10*m**2 wrt g. 228*m**2 - 4*m*y**3 - 4 Find the third derivative of 11*i**6*n + 4*i**4*n**3 + 10*i**2*n**3 + 2*i**2 + 2*i*n**2 wrt i. 1320*i**3*n + 96*i*n**3 Differentiate 2679*m - 2316 with respect to m. 2679 Differentiate -952*b*m**2*w + 2*b*m**2 - b*m*w - 10*b*m - 2*b - 117*m**2 - 5*m*w**2 wrt w. -952*b*m**2 - b*m - 10*m*w Find the third derivative of 6*d**6 - 18*d**5 + 40*d**2. 720*d**3 - 1080*d**2 Find the third derivative of -4*h**5 - 40*h**3 + 2*h**2 + 187 wrt h. -240*h**2 - 240 What is the first derivative of -b**2*d - 33*b*d**2 - 2360*d**2 wrt b? -2*b*d - 33*d**2 Find the third derivative of 13*a**4 - 2*a**3 + 701*a**2. 312*a - 12 Find the second derivative of -2145*n**3*s + 2*n**3 + 162*n - 10*s wrt n. -12870*n*s + 12*n Differentiate c*p**3*z - c*p**2*z - 4809*c + 2*p**3 - 4*p*z with respect to z. c*p**3 - c*p**2 - 4*p Find the third derivative of -2*n*v*y + 5*n*y**4 + 2*n*y**2 - 2*v*y**4 + 188*v*y**3 + 8*y**2 + 13*y wrt y. 120*n*y - 48*v*y + 1128*v What is the first derivative of -2509*t**2 - 1858 wrt t? -5018*t Find the third derivative of 5485*m*u**3 - 9*m*u**2 - 182*m wrt u. 32910*m Find the second derivative of -892*j*w**5 - 2*j*w + 15*w - 1 wrt w. -17840*j*w**3 Differentiate g*j*u**3 - 43*g*j*u + 2*g*j - 2*g - 40*u**3 - u**2 with respect to j. g*u**3 - 43*g*u + 2*g What is the third derivative of -847*n**3 - 1296*n**2 wrt n? -5082 What is the first derivative of -1420*r + 2745 wrt r? -1420 What is the third derivative of 7*k**5 - 25*k**3 - 3*k**2 + 340*k wrt k? 420*k**2 - 150 What is the derivative of -835*b**3*f + b**3 + 189*b**2 + 2*b*f**4 - f**2 - 4 wrt f? -835*b**3 + 8*b*f**3 - 2*f Differentiate -424*i**2 + 4*i + 1199 with respect to i. -848*i + 4 What is the third derivative of 3*t**6 + 19*t**5 - 127*t**2? 360*t**3 + 1140*t**2 What is the first derivative of -38*c**3*p**4 + 148*c**3 + 3*c*p**4 - 8*p - 30 wrt p? -152*c**3*p**3 + 12*c*p**3 - 8 What is the second derivative of -15*g**3*j**3 + 2*g**3*j - 2*g**2*j**2 - g**2*j - 2*g - 7*j**5 + 120*j wrt j? -90*g**3*j - 4*g**2 - 140*j**3 What is the second derivative of -n**2*w**3 - 41*n**2 - 2*n + 173*w**3 wrt n? -2*w**3 - 82 What is the third derivative of 881*f**3 - 519*f**2? 5286 What is the first derivative of d**2*k**2*r + d**2*k - d*k**2*r - 30*k**2 + 2*r wrt r? d**2*k**2 - d*k**2 + 2 What is the second derivative of -3*k**2*l**2*s*z + 2*k**2*l*s*z + 5*k**2*s*z - 4*k*l**2*z - 2*k*s**2*z - k*s**2 - 6*l**2*s**2 + z wrt l? -6*k**2*s*z - 8*k*z - 12*s**2 Find the second derivative of 306*m**2 - 281*m + 2 wrt m. 612 Find the second derivative of -5*g*y**4 - 2*g*y - 32*g + 23*y**5 - 2*y wrt y. -60*g*y**2 + 460*y**3 What is the third derivative of 434*x**5 + 2535*x**2? 26040*x**2 Find the first derivative of 3*l*o**3*q**2 + 6*l*o**2 - 8*l*o + 2*l*q**2 - 11*l + q**2 wrt o. 9*l*o**2*q**2 + 12*l*o - 8*l Find the second derivative of -4*t**4 + 242*t**3 - 876*t. -48*t**2 + 1452*t Find the third derivative of u**2*v**5 + 32*u**2*v**4 - 59*u**2 - 8*u*v**2 wrt v. 60*u**2*v**2 + 768*u**2*v Differentiate g*l*v*x - 8*g*v*x - 15*l*v*x - 2*l*v + l*x - 135*v*x with respect to l. g*v*x - 15*v*x - 2*v + x What is the derivative of 10888*q**4 + 5017? 43552*q**3 Differentiate 2*q**2 - 3859*q + 3364 wrt q. 4*q - 3859 What is the first derivative of -268*o - 290 wrt o? -268 What is the derivative of 2*j*n**3 - 2*j*n**2 - 235*j*n + 25*n**3 - 67 wrt j? 2*n**3 - 2*n**2 - 235*n What is the second derivative of -2*h**2*i*q**3 + h**2*i*q - 1383*h**2*q**3 + 3*h*i*q**3 + 4*h*i*q**2 + 5*h*q wrt h? -4*i*q**3 + 2*i*q - 2766*q**3 What is the derivative of 263*d**2*i**2 + 2*d**2*i*w**3 + 3*d**2*w**2 - 2*i**2 - 5*w**3 - 61*w wrt i? 526*d**2*i + 2*d**2*w**3 - 4*i Find the first derivative of -527*h*l**2*w - h*l**2 - 4*l**2*w + 9*l wrt h. -527*l**2*w - l**2 Find the first derivative of 3*s*t*w**3 - 10*s*t*w - 6699*s*t + s + 6*w**3 wrt w. 9*s*t*w**2 - 10*s*t + 18*w**2 What is the derivative of -366*d*g*t - 3*d*t + 2*d - t wrt g? -366*d*t What is the third derivative of -23*c**4 - c**3 + 240*c**2 wrt c? -552*c - 6 What is the third derivative of 2*a**4 - 483*a**3 - 8*a**2 + 6? 48*a - 2898 Find the third derivative of -6*f**5 + 4*f**4 - 60*f**3 + f**2 + 7241*f - 2 wrt f. -360*f**2 + 96*f - 360 What is the derivative of -1795*s + 6587 wrt s? -1795 Find the third derivative of 26150*x**3 + 4*x**2 - x + 205. 156900 Find the first derivative of -2*d**3*m**2 + 5*d**3 - 3*d**2*m**3 - 8 wrt m. -4*d**3*m - 9*d**2*m**2 What is the second derivative of 35*w**5 + 12*w**3 - 109*w? 700*w**3 + 72*w Differentiate -2*n**3*p**3 - 4*n**2*p**3 + 3*p**3 + 2*p with respect to n. -6*n**2*p**3 - 8*n*p**3 What is the third derivative of -1716*a**4 - a**3 - 1728*a**2? -41184*a - 6 What is the second derivative of -24*v**5 - 79*v**4 - 2*v**3 - 7282*v + 1 wrt v? -480*v**3 - 948*v**2 - 12*v What is the second derivative of -327*b*p**4 - b*p - 5*b - 78*p wrt p? -3924*b*p**2 Find the second derivative of -566*j**3 + 289*j wrt j. -3396*j What is the third derivative of 243*k**3 + 2*k**2 - 757 wrt k? 1458 What is the derivative of -74*k**2*l*y**2 - 18*k**2*y + 9*k*l*y**2 - 2*y**2 wrt l? -74*k**2*y**2 + 9*k*y**2 What is the first derivative of -2*n**4 + 160*n - 80 wrt n? -8*n**3 + 160 Find the first derivative of -251*k**3*t + k**3 - 3*t + 599 wrt t. -251*k**3 - 3 What is the second derivative of 2*o*s**3 - 2*o*s - 55*o - 130*s**3 wrt s? 12*o*s - 780*s What is the third derivative of 2*d**5 + 126*d**3 + 71*d**2 wrt d? 120*d**2 + 756 What is the second derivative of 2844*r**2 + 2690*r wrt r? 5688 What is the second derivative of 2151*o**3 + 4097*o wrt o? 12906*o Find the third derivative of d**5 + d**4 - 70*d**3 - 32*d**2 + 96*d wrt d. 60*d**2 + 24*d - 420 What is the derivative of -10582*t**3 + 24456? -31746*t**2 Differentiate 489*y**3 + 1001 wrt y. 1467*y**2 What is the second derivative of -2*f**2*g*h**2*j - 2*f**2*g*h - 2*f**2*g*j + 2*f**2*h + 7*f*j + 4117*g*h**2*j - g*h*j + h**2*j + 117*h*j wrt h? -4*f**2*g*j + 8234*g*j + 2*j Find the third derivative of 31*n*o**4 + 2*n*o**3 - n*o**2 + 25*n - 2*o**4 wrt o. 744*n*o + 12*n - 48*o Differentiate -2*a**2*l + 7*a*l**3 - 8*a*l + l**3 + 88 with respect to a. -4*a*l + 7*l**3 - 8*l What is the first derivative of -2*i**2 - 9*i*o**3 - 97*o**3 + 2*o**2 wrt i? -4*i - 9*o**3 What is the first derivative of -208*a**3 - 3 wrt a? -624*a**2 Find the first derivative of -12*q*s*t**2 - q*s*t*u**3 - 2*q*s - 24*s*t**2*u**3 - s*t**2*u**2 + s*t**2*u + t wrt q. -12*s*t**2 - s*t*u**3 - 2*s What is the third derivative of -3*c*n - 2*c*q**3 + 4*c*q**2 - 81*n*q**3 + 2*n wrt q? -12*c - 486*n Find the second derivative of -9*h**2*m**2 + 619*h**2*m - 5*h*m - h + 12*m**2 - 8*m wrt h. -18*m**2 + 1238*m What is the third derivative of 2*y**6 + 1277*y**4 + 358*y**2? 240*y**3 + 30648*y Find the second derivative of -10*j**5 + 32*j**3 + 583*j wrt j. -200*j**3 + 192*j Find the second derivative of -117*p**5 - 4*p - 53. -2340*p**3 What is the second derivative of -79*i**3*p**2 - 27*i**2*p + 5*i*p**2 - 17*i*p wrt i? -474*i*p**2 - 54*p Differentiate 3*g**3 + 20*g*m**3 + 627*m**3 wrt g. 9*g**2 + 20*m**3 Differentiate -636*j*v + 31*v - 7 wrt j. -636*v What is the second derivative of -2382*b**2*w**3 - 2*b*w - 2*w**3 + 9 wrt b? -4764*w**3 What is the third derivative of -159*c**4*t - 4*c**2*t - c*t - 5*t wrt c? -3816*c*t Find the third derivative of -b**3*k**3 - 2*b**3*k**2*x - 56*b**3*k*x + 22*b**2*k**3 + b**2*k**2 - 2*k**3*x wrt k. -6*b**3 + 132*b**2 - 12*x Find the second derivative of -17*k**2*y**2 + 2379*k**2*y + 17*y**2 - 2*y wrt y. -34*k**2 + 34 What is the third derivative of 3173*b**3*x**3 - 88*b**2*x**3 + 2*b**2 wrt b? 19038*x**3 What is the second derivative of 14*o*p**2*u**2 - o*p**2*x**2 - 2*o*p*u**2*x**2 - o*u**3 + 2*o*x - 2*p**2*u*x**2 + p*u*x**2 + 2*p + 193*x**2 wrt u? 28*o*p**2 - 4*o*p*x**2 - 6*o*u What is the second derivative of -2*m**2*s**2 + 6*m**2 - 1
{ "pile_set_name": "DM Mathematics" }
e remainder when 122 is divided by 29. 6 What is the remainder when 294 is divided by 99? 96 What is the remainder when 1209 is divided by 22? 21 What is the remainder when 589 is divided by 144? 13 What is the remainder when 96 is divided by 37? 22 Calculate the remainder when 1529 is divided by 6. 5 What is the remainder when 96 is divided by 51? 45 What is the remainder when 179 is divided by 20? 19 Calculate the remainder when 1029 is divided by 263. 240 What is the remainder when 95 is divided by 28? 11 Calculate the remainder when 7827 is divided by 41. 37 What is the remainder when 511 is divided by 5? 1 Calculate the remainder when 624 is divided by 25. 24 Calculate the remainder when 32 is divided by 9. 5 What is the remainder when 90 is divided by 48? 42 Calculate the remainder when 282 is divided by 269. 13 What is the remainder when 45 is divided by 17? 11 Calculate the remainder when 78 is divided by 44. 34 What is the remainder when 93 is divided by 52? 41 What is the remainder when 73 is divided by 53? 20 Calculate the remainder when 797 is divided by 20. 17 Calculate the remainder when 518 is divided by 129. 2 What is the remainder when 3012 is divided by 22? 20 Calculate the remainder when 576 is divided by 17. 15 Calculate the remainder when 1621 is divided by 29. 26 What is the remainder when 291 is divided by 98? 95 What is the remainder when 168 is divided by 36? 24 Calculate the remainder when 1022 is divided by 8. 6 Calculate the remainder when 204 is divided by 75. 54 What is the remainder when 2974 is divided by 149? 143 What is the remainder when 146 is divided by 31? 22 Calculate the remainder when 332 is divided by 48. 44 What is the remainder when 523 is divided by 224? 75 What is the remainder when 196 is divided by 33? 31 Calculate the remainder when 12211 is divided by 197. 194 What is the remainder when 2716 is divided by 4? 0 Calculate the remainder when 133 is divided by 47. 39 What is the remainder when 46 is divided by 25? 21 What is the remainder when 89 is divided by 65? 24 What is the remainder when 193 is divided by 39? 37 Calculate the remainder when 309 is divided by 303. 6 Calculate the remainder when 802 is divided by 196. 18 Calculate the remainder when 111 is divided by 18. 3 What is the remainder when 332 is divided by 67? 64 Calculate the remainder when 11127 is divided by 3708. 3 What is the remainder when 1450 is divided by 11? 9 Calculate the remainder when 897 is divided by 50. 47 What is the remainder when 370 is divided by 147? 76 Calculate the remainder when 343 is divided by 24. 7 Calculate the remainder when 583 is divided by 117. 115 Calculate the remainder when 33 is divided by 18. 15 Calculate the remainder when 109 is divided by 28. 25 What is the remainder when 1033 is divided by 74? 71 What is the remainder when 333 is divided by 57? 48 What is the remainder when 4157 is divided by 13? 10 What is the remainder when 2118 is divided by 106? 104 Calculate the remainder when 248 is divided by 21. 17 Calculate the remainder when 3527 is divided by 131. 121 What is the remainder when 55 is divided by 38? 17 Calculate the remainder when 14223 is divided by 112. 111 What is the remainder when 124 is divided by 118? 6 Calculate the remainder when 158 is divided by 59. 40 Calculate the remainder when 333 is divided by 54. 9 Calculate the remainder when 153 is divided by 17. 0 Calculate the remainder when 960 is divided by 42. 36 What is the remainder when 90 is divided by 24? 18 Calculate the remainder when 6306 is divided by 19. 17 Calculate the remainder when 1540 is divided by 256. 4 What is the remainder when 3370 is divided by 7? 3 What is the remainder when 4076 is divided by 9? 8 Calculate the remainder when 33675 is divided by 119. 117 Calculate the remainder when 1580 is divided by 1562. 18 What is the remainder when 324 is divided by 6? 0 Calculate the remainder when 315 is divided by 110. 95 Calculate the remainder when 6439 is divided by 140. 139 Calculate the remainder when 106 is divided by 32. 10 Calculate the remainder when 99 is divided by 4. 3 What is the remainder when 200 is divided by 54? 38 Calculate the remainder when 5972 is divided by 72. 68 What is the remainder when 612 is divided by 35? 17 What is the remainder when 381 is divided by 44? 29 What is the remainder when 97 is divided by 38? 21 Calculate the remainder when 351 is divided by 22. 21 Calculate the remainder when 11085 is divided by 144. 141 Calculate the remainder when 370 is divided by 34. 30 Calculate the remainder when 400 is divided by 184. 32 Calculate the remainder when 70 is divided by 16. 6 Calculate the remainder when 15 is divided by 12. 3 Calculate the remainder when 127 is divided by 88. 39 Calculate the remainder when 1143 is divided by 6. 3 What is the remainder when 98 is divided by 12? 2 What is the remainder when 3861 is divided by 46? 43 Calculate the remainder when 271 is divided by 95. 81 Calculate the remainder when 87 is divided by 21. 3 Calculate the remainder when 756 is divided by 20. 16 Calculate the remainder when 236 is divided by 16. 12 Calculate the remainder when 3870 is divided by 1287. 9 Calculate the remainder when 75 is divided by 33. 9 Calculate the remainder when 2122 is divided by 1053. 16 What is the remainder when 1071 is divided by 36? 27 What is the remainder when 4 is divided by 1? 0 Calculate the remainder when 907 is divided by 10. 7 What is the remainder when 3474 is divided by 69? 24 Calculate the remainder when 241 is divided by 62. 55 What is the remainder when 938 is divided by 106? 90 What is the remainder when 952 is divided by 190? 2 Calculate the remainder when 57 is divided by 31. 26 Calculate the remainder when 73 is divided by 6. 1 Calculate the remainder when 4094 is divided by 91. 90 Calculate the remainder when 352 is divided by 169. 14 What is the remainder when 779 is divided by 38? 19 Calculate the remainder when 688 is divided by 221. 25 What is the remainder when 377 is divided by 356? 21 What is the remainder when 1219 is divided by 388? 55 What is the remainder when 333 is divided by 48? 45 Calculate the remainder when 225 is divided by 61. 42 What is the remainder when 5987 is divided by 74? 67 Calculate the remainder when 3177 is divided by 59. 50 What is the remainder when 206 is divided by 54? 44 What is the remainder when 17359 is divided by 140? 139 What is the remainder when 163 is divided by 4? 3 Calculate the remainder when 68 is divided by 22. 2 What is the remainder when 144 is divided by 50? 44 What is the remainder when 11855 is divided by 47? 11 What is the remainder when 194 is divided by 45? 14 What is the remainder when 2748 is divided by 11? 9 Calculate the remainder when 113 is divided by 22. 3 What is the remainder when 16608 is divided by 134? 126 Calculate the remainder when 246 is divided by 34. 8 What is the remainder when 1075 is divided by 180? 175 What is the remainder when 101 is divided by 22? 13 What is the remainder when 656 is divided by 24? 8 Calculate the remainder when 1268 is divided by 214. 198 What is the remainder when 951 is divided by 18? 15 Calculate the remainder when 682 is divided by 87. 73 Calculate the remainder when 13837 is divided by 8. 5 What is the remainder when 573 is divided by 22? 1 What is the remainder when 2084 is divided by 35? 19 Calculate the remainder when 89 is divided by 45. 44 What is the remainder when 26897 is divided by 183? 179 Calculate the remainder when 1418 is divided by 11. 10 Calculate the remainder when 2718 is divided by 249. 228 What is the remainder when 5392 is divided by 174? 172 Calculate the remainder when 363 is divided by 105. 48 Calculate the remainder when 1208 is divided by 237. 23 Calculate the remainder when 3378 is divided by 23. 20 Calculate the remainder when 48 is divided by 34. 14 What is the remainder when 810 is divided by 104? 82 Calculate the remainder when 364 is divided by 68. 24 What is the remainder when 417 is divided by 47? 41 What is the remainder when 154 is divided by 47? 13 Calculate the remainder when 278 is divided by 63. 26 Calculate the remainder when 630 is divided by 176. 102 What is the remainder when 77 is divided by
{ "pile_set_name": "DM Mathematics" }
(o) be the first derivative of o**3 + 1705. Calculate x(g(w)). 1714608*w**4 Let p(v) = -138*v. Let f(x) = 11464*x**2. What is f(p(s))? 218320416*s**2 Let g(z) = z + 399. Let w(a) = 23712*a**2 + 23699*a**2 - 47425*a**2. Give g(w(f)). -14*f**2 + 399 Let o(g) = -56*g**2. Let k(q) = 30*q**2 - 4. Let i(d) = -2910*d**2 + 390. Let p(m) = 4*i(m) + 390*k(m). What is p(o(c))? 188160*c**4 Let q(o) = -6*o. Let u(n) be the first derivative of 0*n - 12 + 8*n**2 - 1/8*n**4 + 0*n**3. Let w(b) be the second derivative of u(b). What is q(w(r))? 18*r Let p(r) = 7*r**2 + 6. Let y(m) = 91*m**2 + 77. Let f be 2/(-12) - (-2766)/(-72)*2. Let o(t) = f*p(t) + 6*y(t). Let l(g) = -18*g**2. Give l(o(u)). -882*u**4 Let t(n) = -6*n - 2383. Let u(w) = -w**2 - w + 594. What is u(t(l))? -36*l**2 - 28590*l - 5675712 Let u(z) = -2*z**2 - 11. Let w(a) = -a**2 + 230041. Give w(u(d)). -4*d**4 - 44*d**2 + 229920 Let w(r) = -r. Let k(l) = 5366*l - 51. What is w(k(x))? -5366*x + 51 Let y(a) = -a**2 + 48*a + 48. Let f(z) = 327*z - 68. Calculate y(f(l)). -106929*l**2 + 60168*l - 7840 Let o(c) = -4*c**2. Suppose 4 + 4 = 4*y. Let x be (0 - -4)*1 - (-40 - -1). Let k(t) = -x*t + 26*t + 17*t + 5*t**y. Give k(o(l)). 80*l**4 Let t(n) be the first derivative of -n**2/2 + 3*n + 5. Let r be t(-1). Let y(x) = 0*x - r*x - 3*x + 2*x. Let g(h) = h**2. Determine y(g(u)). -5*u**2 Let l(s) = s. Let n(d) = -736014191*d**2. Give n(l(a)). -736014191*a**2 Let l(j) = -10*j - 117. Let k be l(-12). Let t(x) = 12*x - k + 3 - 13*x + 40*x. Let i(v) = -13*v. Determine i(t(r)). -507*r Let n(i) = -4*i**2 + 9. Let x(g) = 160125*g + 2. Determine x(n(a)). -640500*a**2 + 1441127 Let p = -148 + 157. Let r(d) = 5*d + p*d - 2*d. Let w(u) = -8*u**2. Determine w(r(s)). -1152*s**2 Let r(c) = -3*c**2. Let i = 105 - 103. Let m(p) = 65*p - 5 + 68*p - 117*p - i + 3. Calculate m(r(x)). -48*x**2 - 4 Let m = -6 + 8. Let z(t) = -t**m + 2*t - 2*t. Let w(b) be the second derivative of -b**3/3 + 362*b. Give z(w(j)). -4*j**2 Suppose 5*f - 320 = -5*v, -3*f - 362 = -5*v - 50. Suppose 4*w - v = -43. Let c(s) = -30*s**2 + w*s**2 + 14*s**2 + 6*s**2. Let d(r) = 3*r**2. Give c(d(g)). -45*g**4 Let z(p) = 3*p + 3. Let n(r) be the second derivative of -r - 29 - 1/6*r**3 + 0*r**2. Calculate n(z(t)). -3*t - 3 Let v(o) = 10*o**2 - 10*o + 10. Suppose 50*w = 40*w + 30. Let z(t) = t - 1. Let i(f) = w*v(f) + 30*z(f). Let d(q) = 11*q**2. Give d(i(b)). 9900*b**4 Let g(d) = d**2 - 1. Let p(j) = j**2 + 2. Let h(l) = 2*g(l) + p(l). Suppose -5*b - 292 + 302 = 0. Let s(a) = 5355 - 10*a**b - 5355. Calculate s(h(x)). -90*x**4 Let s(f) = -3198858*f. Let k(t) = 2*t. Determine s(k(b)). -6397716*b Let x(a) = -11*a**2 + 4. Let u(s) = 99180*s. Calculate x(u(r)). -108203396400*r**2 + 4 Let b(x) = -x. Let z be 14/24*(-140)/490*(-34 + 0). Let f(c) be the first derivative of 0*c - 16 + 0*c**2 - z*c**3. Give f(b(d)). -17*d**2 Let l(b) = -2*b**2. Let r be 12 - 2/(168/994). Let g(p) be the second derivative of 0*p**2 + 7/6*p**3 - r*p**4 + 6*p + 0. Calculate l(g(c)). -8*c**4 + 56*c**3 - 98*c**2 Let w(x) be the third derivative of -x**5/12 + 47*x**3/6 - 3*x**2 + 2*x - 25. Let y(g) = -16*g. What is w(y(q))? -1280*q**2 + 47 Let p(w) = -312*w**2 - 72. Let h(u) = -96*u**2 - 22. Let i(j) = 36*h(j) - 11*p(j). Let t(r) = 120*r**2. Calculate t(i(y)). 69120*y**4 Let f(t) be the second derivative of t**3/3 - 10*t - 29. Let c(b) = -3894*b. What is f(c(k))? -7788*k Let z(c) = c**2 + c - 92. Let g(r) be the second derivative of r**3/3 + 1344*r. Calculate z(g(q)). 4*q**2 + 2*q - 92 Let l = -782 - -1269. Let y(o) = -487*o - l*o + 974*o + 3*o**2. Let i(r) = 24*r. Calculate i(y(h)). 72*h**2 Let s(i) = -11*i - 4. Let w(c) = 38*c + 14. Let n(d) = 7*s(d) + 2*w(d). Suppose 5*z = 2*z + 6. Let j(q) = 4*q**2 - 4*q**2 - 13*q**z. Determine n(j(r)). 13*r**2 Let j(q) = -7*q**2 + q. Let z(p) = -25*p**2 + 3*p. Let d(h) = 3*j(h) - z(h). Let y(k) = 54*k + 3. Determine d(y(m)). 11664*m**2 + 1296*m + 36 Let v(n) = -92*n**2. Let i(q) = 11*q**3 - 293. Let o(h) = 2*h**3 - 2. Let t(j) = i(j) - 6*o(j). Let k(s) be the first derivative of t(s). Give k(v(c)). -25392*c**4 Suppose -13*g = -7*g - 90. Let j(w) = -g*w + 28*w - 16*w. Let v(c) = -2*c - 2*c**2 + 2*c. Determine j(v(x)). 6*x**2 Let y(r) be the first derivative of 3*r**2/2 + 23. Let w(o) be the first derivative of -17 + 0*o + 3/2*o**2. Determine y(w(d)). 9*d Let n(m) be the third derivative of 2 + 19*m**2 + 0*m**3 + 0*m**4 + 1/30*m**5 + 0*m. Let s(f) = f**2 - 5. What is s(n(j))? 4*j**4 - 5 Let d(p) = p + 78. Let f = 103 + -181. Let z(v) = -6. Let l = -12 + 6. Let i(x) = f*z(x) + l*d(x). Let a(q) = 3*q**2. Give a(i(j)). 108*j**2 Let y(t) = 81*t + 3. Let r(q) = 3509*q**2 + 110*q - 110. Let k(o) = 32*o**2 + o - 1. Let w(x) = 110*k(x) - r(x). Calculate y(w(s)). 891*s**2 + 3 Let c(r) = -600*r. Let o(x) = 4*x**2 - 39*x + 5. Give c(o(u)). -2400*u**2 + 23400*u - 3000 Let p(j) = -160*j**2. Let x(w) = -7*w**2 + 3*w**2 + 3*w**2 + 3*w**2 - 8*w**2. Give x(p(y)). -153600*y**4 Let h(y) be the first derivative of y**2 + 3*y - 1. Let q(i) = 146*i - 20. Let k(j) = -51*j + 7. Let p(m) = -20*k(m) - 7*q(m). Give p(h(a)). -4*a - 6 Let y(o) = 2029*o + 87. Let l(m) = -2*m + 1. What is y(l(s))? -4058*s + 2116 Let a(j) = -4087*j**2. Let b(l) = 6511*l. Calculate a(b(g)). -173260685527*g**2 Let s(a) = -2*a. Let b(o) = -6047958*o. Give b(s(r)). 12095916*r Let c(v) = 66*v**2 + 12*v - 5. Let r(h) = 132*h**2 + 27*h - 12. Let d(f) = -9*c(f) + 4*r(f). Let q(o) = -2*o**2. Give q(d(s)). -8712*s**4 - 792*s**2 - 18 Let f(h) = -13*h + 9. Let u(y) = 38*y - 2*y - 10*y - 12*y - 16*y. Determine f(u(r)). 26*r + 9 Let t(m) be the second derivative of 7*m**3/3 + 14*m - 22. Let d(r) = -2*r + 13. Give d(t(c)). -28*c + 13 Let f(m) = 43506838*m. Let v(j) = 2*j. Give f(v(n)). 87013676*n Let l(z) = 159 + 160 + 3*z + 170 - 649 + 160. Let n(k) = 14*k**2 + 5*k**2 + 5*k**2. What is n(l(c))? 216*c**2 Let i(j) be the third derivative of -j**5/30 + 227*j**2. Let s(y) = 2*y**2 - 1. Let m(b) = 3*b**2 - 2. Let d(a) = m(a) + 3*s(a). Calculate d(i(u)). 36*u**4 - 5 Let p(q) be the first derivative of 0*q + 0*q**2 - 16/3*q**3 + 15. Let g(r) = -15*r - 6. Let i(l) = -2*l - 1. Let w(j) = g(j) - 6*i(j). What is w(p(y))? 48*y**2 Let m(w) be the first derivative of -4*w**2 + w**2 + 6 - 1 + 2*w**2. Let d(b) = 7*b + 12*b - 34*b + 4*b. Calculate d(m(i)). 22*i Let z(m) = -3*m - 1. Let d(t) = 2 + 0 + 1 - 4. Let o(u) = -d(u) + z(u). Let p(f) = 4*f**2 - 2*f**2 - f**2. Determine o(p(y)). -3*y**2 Let s(l) = 4*l**2 - 3*l + 6. Let n(y) = -9*y**2 + 7*y - 14. Let c(u) = -6*n(u) - 14*s(u). Let w(p) = p + 238. Give c(w(z)). -2*z**2 - 952*z - 113288 Suppose 3*a - 3*q = -8*q + 38, -4*a - 2*q = -32. Let u(n) = -11*n**2 - 9*n**2 + 25*n**2 - a*n**2. Let v(k) = -123 - 5*k**2 + 244 - 121. Determine v(u(z)). -5*z**4 Let t(g) = -11*g - 11*g - 12*g + 46*g - 15*g. Let p(n) = -2314*n**2. Calculate p(t(u)). -20826*u**2 Let g(k) = k**2 - 392*k. Let d(r) be the second derivative of -2*r**4/3 - 60*r - 9. Determine g(d(o)). 64*o**4 + 3136*o**2 Let s(a) = -2*a**2. Let b(c) = -17667*c + 24. Let o(w) = -8663897*w + 11770. Let k(x) = -5885*b(x) + 12*o(x). Calculate k(s(d)). -7062*d**2 Let i(k) = 44*k - 1. Let t(z) = -4*z**2 - 3*z - 3. Let f be (-4 + -1)*15/(-25). Let c(m) = -44*m**2 - 32*m - 32. Let y(w) = f*c(w) - 32*t(w). Calculate y(i(b)). -7744*b**2 + 352*b - 4 Let b(l) = -165406*l - 66. Let i(x) = 132323*x + 54. Let f(v) = 9*b(v) + 11*i(v). Let w(z) = z. What is f(w(u))? -33101*u Let b(k) = -k**2 - 61. Let m(u) = -20*u**2 + 797*u. Determine m(b(v)). -20*v**4 - 3237*v**2 - 123037 Suppose -q - 3 + 6 = 0. Suppose 0*g + k - 7 = -3*g, 13 = 5*g + q*k. Let y(b) = 2*b - 2*b - 3*b + g*b. Let o(w) = -5*w. Give y(o(n)). 5*n Let c(s) = -16*s - 5. Let b(r) = -2*r**2 + 10*r + 43. Let y be b(-3). Let n(j) = 57*j + 18. Let u(d) = y*n(d) - 18*c(d). Let g(v) = 119*v**2. Determine u(g(k)). 357*k**2 Let t(k) = -193*k + 5. Let i(o) = -o + 8019. Give i(t(n)). 193*n + 8014 Let j(y) = -2*y**2. Let u(n) = 180*n**2 + 212*n + 340. Determine u(j(d)). 720*d**4 - 424*d**2 + 340 Let r = -56 - -51. Let j be (-125)/r - (-2 + 5). Let s(f) = -j*f + 10*f + 11*f. Let p(c) = -5*c**2. Calculate s(p(t)). 5*t**2 Let c(f) = -7416*f**2. Let b(w) = 493*w - 492*w - 793 + 793. Give c(b(t)). -7416*t**2 L
{ "pile_set_name": "DM Mathematics" }
t r = -1 - -4. Suppose -5*t + v = r*v + 5, 7 = -3*t - 2*v. What is the derivative of 2 + t + 2 - 7*q wrt q? -7 Let j(t) = -29*t**4 + 6*t**3 - 2*t**2 + 5*t. Let n(d) = 2*d**4 + d**3 + d. Let w(l) = -j(l) + 6*n(l). What is the third derivative of w(s) wrt s? 984*s Find the second derivative of -4*m**5 + 176*m**4 + 94*m + 6*m**5 + 264*m wrt m. 40*m**3 + 2112*m**2 Let w(u) be the third derivative of -13*u**7/210 - u**4/8 + 47*u**3/6 + 94*u**2. Find the first derivative of w(q) wrt q. -52*q**3 - 3 What is the derivative of -j**4 - 41*j**2 + 11*j**2 + 6*j**2 + 12*j**2 + 13*j**2 - 146 wrt j? -4*j**3 + 2*j Find the second derivative of 3 + v**2 - 12*v + 17*v**5 - 2*v**2 - 18*v wrt v. 340*v**3 - 2 Find the third derivative of -72*p**5 + 26*p**5 - 10*p**4 - 670*p**2 + 170*p**5 + 10*p**4 wrt p. 7440*p**2 Let f(w) = 114*w**3 + 8*w**2 + 12*w. Let r(l) = 114*l**3 + 7*l**2 + 14*l. Let p(y) = -6*f(y) + 7*r(y). Find the third derivative of p(s) wrt s. 684 Let m(k) = -k**2 + 7*k + 8. Let s be m(8). Let d = s - -4. What is the second derivative of 2*t**4 + 7*t + 0*t - 8*t**4 + d*t**4 wrt t? -24*t**2 Let n(k) be the second derivative of 167*k**4/12 - 437*k**3/6 + 337*k. What is the second derivative of n(l) wrt l? 334 Let y(w) be the first derivative of -w**2 - 10*w - 6. Let f be y(-6). Differentiate 9 - 15*l**f - 3 + 10*l**2 wrt l. -10*l Let w(m) be the second derivative of 3*m**5/2 - 59*m**3/6 - 3*m - 32. What is the second derivative of w(z) wrt z? 180*z Let r(i) = -78*i**4 + 4*i**3 + 15*i + 2. Let c(j) = 156*j**4 - 9*j**3 - 30*j - 5. Let g(l) = -4*c(l) - 9*r(l). Find the second derivative of g(x) wrt x. 936*x**2 Let a(w) = 195*w**2 + 2*w - 396. Let i(j) = -198*j**2 - 3*j + 397. Let c(q) = -3*a(q) - 2*i(q). Find the first derivative of c(g) wrt g. -378*g Find the third derivative of g**4 + 121*g**3 + 24 - 3 + 260*g**3 + 14 - 2*g**2 - 254*g**3 wrt g. 24*g + 762 Let l = 4 + 6. Suppose 2*o - l = 30. What is the second derivative of -c - o*c**3 + 15*c**3 + 13*c**3 wrt c? 48*c Let t(c) = 4*c**2 - 7*c - 3. Let p(f) = -f**2 + f. Let a(d) = -5*p(d) - t(d). Let o be a(-2). Find the second derivative of 2*v**5 - v + 2*v**5 - o*v wrt v. 80*v**3 Let c = 34 - 11. Suppose -8 = 5*n - c. What is the second derivative of n*f**3 + f - 4*f - 2*f wrt f? 18*f Find the third derivative of -14*w**2 - 94*w**3 - 5*w + 2*w - w + 75*w**3 - w**4 wrt w. -24*w - 114 Let j(i) = i**2 + 7*i + 14. Let g be j(-4). Find the third derivative of 12*v**4 - 129*v + 129*v + 28*v**g wrt v. 288*v Let q(p) be the third derivative of p**6/60 + 101*p**4/12 + 209*p**3/2 - 622*p**2. Differentiate q(h) with respect to h. 6*h**2 + 202 Let s(t) be the first derivative of 283*t**6/6 + 3*t**2/2 + 8*t - 93. What is the second derivative of s(w) wrt w? 5660*w**3 What is the derivative of 89 + 140*i - 77*i - 95*i wrt i? -32 Let y(p) = 2*p**3 + p**2 + 3*p - 4. Let a be y(2). What is the derivative of -7*u - 5*u + a - 5*u - 12*u wrt u? -29 Let m(a) = a**3 + 5*a**2 + 4*a + 4. Let h be m(-4). Suppose -6 = -7*y + h*y. Differentiate -2 - 2 + 5*u**y - 2 + 7 with respect to u. 10*u Suppose -2*k - 5*k = -28. Differentiate -z + z - k + 11*z + 2*z with respect to z. 13 Let c(z) be the first derivative of -17*z**7/840 - z**4/6 + 2*z**3 + 12. Let t(m) be the third derivative of c(m). Differentiate t(a) wrt a. -51*a**2 What is the second derivative of -156*k**3 - 18*k + 23*k + 12*k + 24*k + 1 + 35*k wrt k? -936*k Let x(h) be the third derivative of -113*h**6/60 - 11*h**4/4 - 209*h**2. What is the second derivative of x(r) wrt r? -1356*r Let j(a) = 85*a**4 + 2*a**3 + 2*a**2 + 4*a + 32. Let d(r) = -r**4 + r**3 + r**2 + 2*r + 2. Let x(m) = 2*d(m) - j(m). Differentiate x(t) with respect to t. -348*t**3 Let t(j) = -100*j + 97. Let m(p) = -101*p + 101. Let w(k) = 2*m(k) - 3*t(k). Find the first derivative of w(g) wrt g. 98 What is the third derivative of w**3 - 118*w**2 - 6*w**3 + 4*w**4 - 3*w + 3*w wrt w? 96*w - 30 Find the third derivative of 3*t**3 - 2 + 8*t**2 + t**5 - 63*t**2 + 3*t**3 - t**2 wrt t. 60*t**2 + 36 Let s(m) = m - 8. Let f be s(11). Suppose 5*k - 8 + f = 0. What is the first derivative of 0 + k - 2 - 2 - 3*i**3 wrt i? -9*i**2 Suppose 5*i - 78 = -4*s + 246, -i = 5*s - 69. What is the derivative of -71 - 36*a**2 - i + 114 wrt a? -72*a Let h be (-14)/(-35)*5*6. Suppose -6*i - 2*u + 16 = -2*i, 3*i + 5*u = h. What is the third derivative of -i*d**5 + 6*d**2 + 0*d**2 + 13*d**5 - 3*d**2 wrt d? 540*d**2 Let c be 6 - (4 - 0) - 3. Let r(a) = 16*a**2 - 2*a - 3. Let x(l) = -l**2 + l + 1. Let n(s) = c*r(s) - 2*x(s). Differentiate n(t) wrt t. -28*t Let w(h) be the first derivative of 403*h**5/5 + 619*h - 1. Differentiate w(x) wrt x. 1612*x**3 Let y(s) be the second derivative of -1/4*s**4 + 0*s**5 - 11*s + 3/14*s**7 + 0*s**3 + 0*s**6 + 0*s**2 + 0. Find the third derivative of y(g) wrt g. 540*g**2 Let g(w) be the second derivative of 29*w**7/42 + 49*w**4/12 - w. What is the third derivative of g(j) wrt j? 1740*j**2 Let m(d) = d**3 - 5*d**2 - d + 2. Let z(l) = -13*l**3 + 39*l**2 + 6*l + 55. Let c(q) = -6*m(q) - z(q). What is the derivative of c(u) wrt u? 21*u**2 - 18*u Differentiate -30 - 124*i - 201*i + 35*i - 52 wrt i. -290 Suppose 9*x - 13*x + 56 = 0. What is the second derivative of 20*l - 3117 + x*l**2 + 3117 wrt l? 28 Let y be 91/4 - (-19)/76. Suppose 4 + y = 3*a. Differentiate -a*u + 9*u - 12 - 8*u**2 with respect to u. -16*u Let b(p) = 124*p**2 - 118*p - 6. Let r(i) = 373*i**2 - 357*i - 17. Let t(w) = -17*b(w) + 6*r(w). Find the second derivative of t(a) wrt a. 260 Let i(b) = 54*b**2 + 14*b. Let l(y) = y - 1. Let f(h) = -i(h) + 6*l(h). Find the second derivative of f(m) wrt m. -108 Let r(u) be the first derivative of -2*u**5/5 + 15*u**4/4 + 47*u**3/3 - 75. Find the third derivative of r(a) wrt a. -48*a + 90 Let g = -51 - -55. What is the third derivative of -2*s - 2*s + g*s - 16*s**4 - 21*s**2 wrt s? -384*s Differentiate 7*h - 13*h - 142*h**2 + 9*h + 497 - h with respect to h. -284*h + 2 Let c(u) be the second derivative of -85*u**5/4 + 5*u**4/12 - 8*u**2 + 236*u. What is the third derivative of c(s) wrt s? -2550 Suppose -2*i - 27 = 3. Let d = -10 - i. Differentiate -2 - 2*w - d - 6*w + 0 wrt w. -8 What is the second derivative of 59*m**4 + 9 + 7*m + 3 - 18*m + 17*m wrt m? 708*m**2 Let y(g) = -61*g**2 + 20*g - 97. Let r(i) = -3*i - 1. Let q(h) = 6*r(h) + y(h). Find the second derivative of q(f) wrt f. -122 Let x(p) = -6*p - 8. Let r(d) = d + 3. Let k be r(-5). Let l be x(k). Find the third derivative of 181*q - 181*q + 12*q**2 - 7*q**l wrt q. -168*q Let b be 0 - 12*(-12)/9. Let k = b + -12. What is the third derivative of -9*t**2 - 8*t**4 + 2*t**k + 9*t**3 - 9*t**3 wrt t? -144*t Let n = -117 + 118. Find the second derivative of 23*r**2 - 4693*r + 4699*r - 1 + n wrt r. 46 Let t(f) = 2*f - 24. Let y(p) = 2*p - 24. Let b(i) = -3*t(i) + 4*y(i). Let l be b(15). Differentiate -l*z - 15 + 0 + 5 wrt z. -6 Find the second derivative of 173*s - 102*s**2 - 69*s + 95*s wrt s. -204 Differentiate 43 - 47*i**3 - 49*i**3 + 94*i**3 wrt i. -6*i**2 Let c be 2/(4*4/72). What is the second derivative of -h - 7*h**3 - 22*h - 23*h**3 + c*h wrt h? -180*h Let g be 1 - (-5)/((-5)/(-3)). What is the third derivative of -58*l**2 - 4 + 2*l**g + 4 + 64*l**2 wrt l? 48*l Suppose -3*k + 5*d + 12 = 0, 5*k - 2*d - 3*d - 30 = 0. Find the third derivative of -41*b**6 - 2323*b**5 + b**2 + 2323*b**5 - k*b**2 wrt b. -4920*b**3 Let k(w) = w**2. Let i(v) = -6*v - 92. Let y(b) = -i(b) - 3*k(b). What is the derivative of y(g) wrt g? -6*g + 6 Let j(p) be the first derivative of 29*p**5/5 + p**3/3 + 5*p**2 - 132. Find the third derivative of j(g) wrt g. 696*g Let p = -8 + 6. Let z = 2 - p. What is the third derivative of 3*r**2 - 6*r**z + 8*r**4 - r**2 - 6*r**4 wrt r? -96*r Let i = 73 - 30. Let l = i + 0. What is the derivative of l*g - 43*g + 2*g**2 + 4 wrt g? 4*g Let d(n) = -190*n + 163. Let v(h) = -949*h + 814. Let y(r) = -11*d(r) + 2*v(r). Differentiate y(x) wrt x. 192 Let v(y) be the third derivative of -2*y**7/5 - 33*y**3/2 + y**2. Differentiate v(c) wrt c. -336*c**3 Let t(u) be the second derivative of 0*u**2 - 23*u + 0 + 1/3*u**3 + 0*u**4 + 39/20*u**5. What is the second derivative of t(i) wrt i? 234*i Find the first derivative of -227*m**4 + 725 + 48*m**4 -
{ "pile_set_name": "DM Mathematics" }
2) 3/88 What is the value of (-82790)/(-68180)*104/(-34)? -26/7 What is (-1)/4*628/(-4396)? 1/28 Evaluate 7/((-63)/2)*(-3)/8. 1/12 Calculate (-5)/(220/(-24)) - (-3060)/(-44). -69 Calculate (-969)/570 + 357/210. 0 What is (852/(-36) + 23)/(6*159/(-27))? 1/53 Calculate 139855/(-123342) + (-77)/(-66). 2/61 Calculate ((-184338)/1976 + 94)*52. 37 Evaluate 654/(-96) + 7 - (-61264)/(-1792). -34 Evaluate (57 - 1) + (214016/35904 - 2/(-51)). 62 What is 2/8*(-31)/(-62) + (-585)/7176? 1/23 What is -57 + 138/2 - -1*(-76 - -4)? -60 What is the value of (6/(-8))/((-64722)/1288)? 1/67 What is (-680)/(-160) - (-3)/(120/50)? 11/2 What is the value of 95573/12332*(3 + -11)? -62 Calculate (-10 - (2 - 6))*((-3912)/144 + 27). 1 Evaluate 71/2556 - 19635/(-756). 26 What is the value of 168/(-462) - ((-4518)/264 - -16)? 3/4 What is (6/14)/(-6 - (-964)/56 - 11)? 2 Calculate 1458/2430*((-2)/(-3) + -4). -2 Evaluate (2 - 10)*(-468)/78. 48 (-9 + (921/6*-2)/(-34))/1 1/34 Calculate ((-7209)/4005)/((-5)/175). 63 What is the value of ((-9056)/283*(-15)/(-168)*6)/(15/(-70))? 80 (7885/95 - 88)*(-1 - -5) -20 Calculate ((-50)/(-15))/((201/(-670))/((-18)/(-75))). -8/3 What is 2371/(-21) + (-219)/(206955/90) + 0 + 0? -113 Evaluate (-1)/((-1110)/(-141)) + (-1056)/(-38720)*33/9. -1/37 What is the value of ((-11)/(-2) + -2)*(-36)/((-80136)/(-1166))? -11/6 What is the value of (-15675)/9504 - 686/(-441)? -3/32 Calculate (50735/30441)/(4/(-18) + 1/(-18)*-1339). 2/89 What is 12/(-10)*(-390)/(-117) + 5? 1 What is (-203*(-9)/882*7 - 14)/((-654)/24)? -2/109 Calculate 630/(-42) - (-5 - (-293)/(-29)). 3/29 Calculate (-58357456)/(-941034) - (-2)/(-141). 62 Calculate 33 - (-7328)/(-224) - (990/35 - 5). -23 Evaluate (-3)/(-24)*((-10)/(-380)*46 - 1). 1/38 Calculate -68 - (137376/(-53))/36. 4 What is (-54 - 448/(-192)) + 22/6? -48 Evaluate ((-6)/(-30))/(5 + 612/(-180))*12/(-11). -3/22 What is ((-12)/(-504)*54 - 1)*(-28)/(-54)? 4/27 62/(-6)*(-17 + 55 + -36) + 12 -26/3 (23/8 + -4)/(441/3528) -9 What is (-20 + 8)/420 - 76464/2835? -27 7940/(-140) + 41 + 12 -26/7 Calculate ((-6)/44)/(-10 - (-7 - (-1 + 294/77))). 3/4 Evaluate 4 - 9*(-440)/495. 12 -258*(-35)/168*((-60)/25 - -4) 86 What is (-6)/(-5)*(-112*15/120 - (-166)/12)? -1/5 Evaluate 240/(-1840)*((-55)/84 + 15/20). -2/161 Evaluate 55/(-2 + -9) - ((-5)/(-15))/(3/(-396)). 39 Calculate 405/198*187/51*1/((-9)/(-60)). 50 What is the value of (-9)/(-6)*-46 - 22*20/(-55)? -61 What is (0 + (-118)/(-2))/(1567/(-1567))? -59 (50/(-3) - -1) + -186 + 22837/123 -16 What is the value of (-1164)/(-1358)*(-56)/(-18) - 195/63? -3/7 Evaluate (18/(-4) - (4 - (46 - 30)))*18/5. 27 What is -5 + -7 + (-59)/((-2714)/874)? 7 What is the value of (-25 - -20)/(49950/(-810))? 3/37 Evaluate 4239/(-135) + 154/35. -27 (325/(-50))/((-1924)/1480) 5 Calculate 5 + ((-10)/75 - 4039/(-105))*(-192)/(-80). 97 ((-32)/6)/((101748/13725)/(-139)) 100 What is 18 - (-64 + 103) - 20*-1*(-6)/15? -29 Calculate 14 + 10 + (-1496)/66 - (-8)/(-33). 12/11 (-130240)/4840 - ((-40)/50 - (-12)/(-110)) -26 What is (-66)/440*-7*12/(-63)? -1/5 Calculate 44/(2/12*62 - (12 + (1 - 2))). -66 What is (6/(24/(-8)))/((-120)/(-1023) + 18/(-99))? 31 Evaluate (-2)/(-8)*3*(60/324)/((-14)/63). -5/8 (-108)/9 + -9 - -8 - (14 + 4/2) -29 Calculate 80/460*(-24)/32*4/12. -1/23 What is 244/(-10) + -1 + (-71)/(14910/(-2100))? -77/5 Calculate (-474)/7426 + (-4985)/(-70735). 2/301 (-49242)/4669 + 12 - 12/7 -6/23 (-117)/1482*2080/312 -10/19 What is 30/((-390)/(-247)) - 51/(-3)? 36 Evaluate (-5892)/111 - 189/(-2331). -53 What is (-5)/(-42)*(-390)/47125*-58? 2/35 What is 28 + (-33 - (-140)/196)? -30/7 Calculate 6444/53521 + 1/(-23). 1/13 What is the value of 3/1 - 8 - 196/(-966)*24? -3/23 Calculate (-4 - ((-5958)/(-420))/(-3)) + (-22)/(2156/42). 3/10 ((-7305)/(-17045))/(28/(-105)*-27*3/(-42)) -5/6 What is the value of (107 - 17) + (-1803630)/20060? 3/34 What is 42/3 - (-227511)/(-16357)? 1/11 1 - (44/(-6)*(-18)/69 + (-2236)/(-25714)) -1 Evaluate (-3)/2 - 1180/104 - 1888/12272. -13 Evaluate 7/((-6935)/(-589) + -12). -31 Calculate (2 + -3)/((-74955)/7890). 2/19 (18499/(-247) - (825/(-285) - -3)) + -19 -94 (-1140)/(-56)*5580/8742 - 13 -2/329 What is (((-164)/20 - -8)*-46)/(1464/60 - 26)? -23/4 Evaluate 8300/74 + -8700 + 8588. 6/37 What is (-232)/(-22) + 366/(-671)? 10 What is the value of 10 + (729/42 + (-84)/98)/((-11)/(-22))? 43 Calculate (8/(-8) + 0)/(143/(-3289)). 23 What is (-11 - (-41)/4)*8/(-9)*-159 - 3? -109 What is 13560/(-212) + (-1182)/31323? -64 What is 3/(-11) + -14598*107/21186? -74 11970/(-84)*(-102)/(-153) -95 Calculate (15*(-50)/(-120))/(2195/42144). 120 Evaluate 1868/5604*(-51 + 0). -17 What is (17 - 476/34) + (-99)/9? -8 What is 5148/208 - 11/(-44)? 25 Evaluate (-2*15/30)/(66/(-5214)). 79 What is the value of (-4 + -37)/(94 - 93)? -41 Evaluate 10980/(-4392)*(-24)/3210. 2/107 Evaluate -83 + (21 + 5397)/42. 46 What is the value of (-187)/(163251/(-194))*(-9)/60*-2? 1/15 What is the value of (300/54)/(-25) - (-96)/189? 2/7 What is (-2)/(-6)*(-1 - (-1 + 6))*(-5161)/(-794)? -13 Evaluate (1696709/668202 + (-2)/51)*(-138)/(-5). 69 What is the value of 4/((-960)/1300) + 3/(-27)*(-26 + 38)? -27/4 (-412419)/(-6227) - 378/117 63 10/(-4) + ((-750)/12)/(-3 + 2) 60 Calculate ((-17176)/112 - -80) + 74. 9/14 Evaluate (-153389)/(-5862) + 60/54*3. 59/2 ((-1)/(1240/(-48)))/((-132)/(-220)) 2/31 Calculate (-49386)/(-90541) - 712/44*3. -48 What is ((322/12 - -26) + -17)*8/(-20)? -43/3 Calculate (72/208 - (-4)/26)/(6 - (-11849)/(-1972)). -58 Evaluate (104/(-10))/(1044/(-225) - -5)*6264/1392. -130 Evaluate (8/640)/(13/260)*208. 52 Calculate (576/1)/24 + -55. -31 -17 + -15 + (-4592)/(-56) 50 Calculate 252/(-672) - ((-121)/88)/(-1). -7/4 What is the value of 15 - 520/270 - 226/3051? 13 (-125560)/(-100375) + (-360)/330 4/25 Evaluate (1106/31521)/((-6)/36). -4/19 What is ((-4296)/8592)/((-22)/(-1)*(-2)/16)? 2/11 100 + -125 - (34 + -13 - 27 - (-4)/(-1)) -15 Evaluate 8/(-6)*(426/(-1278) + (-110)/48). 7/2 What is (1112/(-156) - -7)/((-15015)/378 + 40)? -6/13 Evaluate (((-3)/(-24))/(2/(-24)*-3))/((-447)/(-28608)). 32 (-64)/(-389088)*-21*3 -2/193 Calculate (-2870)/36 + (-1730)/6228. -80 Evaluate (4/8)/(118/(-4) - (231 - 247)). -1/27 Evaluate 1*(33 - 3 - 4976/166). 2/83 Calculate (45201/13908)/((-1)/4). -13 Calculate (((-56)/7)/(-16) - 1)*(-10 - (18 - -170)). 99 What is the value of ((-68145)/180)/59*(24 + 2366/(-98))? 11/12 Evaluate 494/342*(-1599)/(-902) + (-10)/4. 2/33 Calculate (-187)/24123*(-2 - -8). -2/43 What is 1/((2/56*-14)/((-1)/(4/50)))? 25 Calculate ((-16)/14)/((-16320)/3808). 4/15 Evaluate 420/30 + ((-10)/(-8) - 5696/256). -7 Calculate -30 + (-2100)/(-30) + -27. 13 (-2)/(-4)*7 + (-9)/((-486)/297) + -1 8 Evaluate ((-2)/5)/((1/20)/(9 - 2494/232)). 14 What is ((-14)/(-35))/(15/(-90) - (31906/(-6180) + 5))? -103 What is the value of (1*18/34)/((-8736)/(-23296))? 24/17 What is (-5958)/257187*(-1 + (-16)/12)? 2/37 Evaluate 142/(-3266) - 10/299. -1/13 What is (686/(-228) + 3)/((-8679)/(-26037))? -1/38 Evaluate ((1074998/(-2587))/(-146))/((-6)/(-26)). 37/3 Evaluate (16932/(-2739))/(2/(-11)). 34 What is ((-792)/60)/(-11)*-5 - (-148)/26? -4/13 Evaluate ((-276)/(-2392))/(42/(-1001)). -11/4 Calculate 1245/(-4060) - -19*159/(-28196). -12/29 Calculate (-579 + 525)*8/40*-5*(-1)/(-12). 9/2 What is the value of (-11)/((-99)/(-6)) + (-6272)/2016*24/(-98)? 2/21 What is -61 - (-10 + (43 - 62))? -32 Evaluate ((-56)/3024*-72)/((8/111)/(-2)). -37 What is the value of (-64)/(-40) - 3285/225? -13 -30 + 40641/1444 - -4*2/76 -7/4 What is ((-2170)/(-8835))/(12/(-38))? -7/9 Calculate (4 + -1)/(-3 + -344*(-10)/1120). 42 Calculate -4*(-11 - 2)/(-338) - (-115)/(-13) - -11. 2 Evaluate (-4165)/63 - (-324 - -258). -1/9 Evaluate 33/(-1683) - (-18 + 5398/408). 19/4 Evaluate 671828/313731 - ((68/66 - (-10)/(-15)) + 0). 16/9 Evaluate (4/32)/(2/(-12))*(-792)/(-891). -2/3 What is the value of (-290646)/2706264 - (-2)/51? -3/44 Calculate 3/10*420/63*(-82)/4. -41 What is 2*1/90 + (12493/117 - 107)? -1/5 What is the value of (-16 - (-1148)/70)/((-2124)/420 - -5)? -7 Calculate 85*(-23 + 5096/221). 5 Evaluate (-258016)/4398 - (-384)/36. -48 (-13 - 1) + 175/(3150/162) -5 (16*10/200)/(981/135 + -3 - 4) 3 Calculate 24/((-9504)/(-90)) + 15/(-60). -1/44 What is the value of -4 + -40
{ "pile_set_name": "DM Mathematics" }
s 87053 to the power of 1/6, to the nearest integer? 7 What is the square root of 4414 to the nearest integer? 66 What is the square root of 176 to the nearest integer? 13 What is the fifth root of 2579 to the nearest integer? 5 What is 933 to the power of 1/8, to the nearest integer? 2 What is the third root of 10620 to the nearest integer? 22 What is the cube root of 2012 to the nearest integer? 13 What is the seventh root of 3819 to the nearest integer? 3 What is 24989 to the power of 1/9, to the nearest integer? 3 What is 1626 to the power of 1/3, to the nearest integer? 12 What is the third root of 23171 to the nearest integer? 29 What is 10528 to the power of 1/3, to the nearest integer? 22 What is the cube root of 1929 to the nearest integer? 12 What is 8978 to the power of 1/5, to the nearest integer? 6 What is 9611 to the power of 1/3, to the nearest integer? 21 What is the square root of 164 to the nearest integer? 13 What is 1457 to the power of 1/3, to the nearest integer? 11 What is 134747 to the power of 1/3, to the nearest integer? 51 What is the tenth root of 2545 to the nearest integer? 2 What is the square root of 33872 to the nearest integer? 184 What is the cube root of 74253 to the nearest integer? 42 What is 1458 to the power of 1/2, to the nearest integer? 38 What is the square root of 16885 to the nearest integer? 130 What is the seventh root of 49655 to the nearest integer? 5 What is 25525 to the power of 1/2, to the nearest integer? 160 What is 706 to the power of 1/2, to the nearest integer? 27 What is the seventh root of 1227 to the nearest integer? 3 What is the square root of 924 to the nearest integer? 30 What is 3423 to the power of 1/9, to the nearest integer? 2 What is 1053 to the power of 1/2, to the nearest integer? 32 What is 16233 to the power of 1/2, to the nearest integer? 127 What is the cube root of 153127 to the nearest integer? 53 What is the fifth root of 14504 to the nearest integer? 7 What is 32672 to the power of 1/2, to the nearest integer? 181 What is 2122 to the power of 1/3, to the nearest integer? 13 What is the seventh root of 3537 to the nearest integer? 3 What is 22228 to the power of 1/5, to the nearest integer? 7 What is 16150 to the power of 1/2, to the nearest integer? 127 What is 4987 to the power of 1/3, to the nearest integer? 17 What is the cube root of 99890 to the nearest integer? 46 What is the seventh root of 4030 to the nearest integer? 3 What is 123731 to the power of 1/2, to the nearest integer? 352 What is the third root of 16038 to the nearest integer? 25 What is 13633 to the power of 1/2, to the nearest integer? 117 What is the cube root of 4297 to the nearest integer? 16 What is 834 to the power of 1/3, to the nearest integer? 9 What is the fifth root of 16112 to the nearest integer? 7 What is 13789 to the power of 1/2, to the nearest integer? 117 What is the cube root of 9088 to the nearest integer? 21 What is 1123 to the power of 1/5, to the nearest integer? 4 What is 2628 to the power of 1/2, to the nearest integer? 51 What is the cube root of 53977 to the nearest integer? 38 What is the third root of 671 to the nearest integer? 9 What is the cube root of 873 to the nearest integer? 10 What is the third root of 2032 to the nearest integer? 13 What is 26526 to the power of 1/2, to the nearest integer? 163 What is 54494 to the power of 1/10, to the nearest integer? 3 What is the cube root of 13401 to the nearest integer? 24 What is 24483 to the power of 1/5, to the nearest integer? 8 What is the eighth root of 3493 to the nearest integer? 3 What is 93344 to the power of 1/3, to the nearest integer? 45 What is 7948 to the power of 1/7, to the nearest integer? 4 What is 1195 to the power of 1/7, to the nearest integer? 3 What is the third root of 74784 to the nearest integer? 42 What is the square root of 3256 to the nearest integer? 57 What is 756 to the power of 1/2, to the nearest integer? 27 What is the square root of 5283 to the nearest integer? 73 What is the fourth root of 83534 to the nearest integer? 17 What is 32128 to the power of 1/8, to the nearest integer? 4 What is the square root of 14348 to the nearest integer? 120 What is the cube root of 11982 to the nearest integer? 23 What is the fourth root of 2706 to the nearest integer? 7 What is the fourth root of 47858 to the nearest integer? 15 What is the cube root of 17947 to the nearest integer? 26 What is the square root of 17342 to the nearest integer? 132 What is 2857 to the power of 1/2, to the nearest integer? 53 What is the square root of 161 to the nearest integer? 13 What is 46017 to the power of 1/6, to the nearest integer? 6 What is the fourth root of 775 to the nearest integer? 5 What is the square root of 7071 to the nearest integer? 84 What is the cube root of 164904 to the nearest integer? 55 What is 2901 to the power of 1/2, to the nearest integer? 54 What is 447 to the power of 1/3, to the nearest integer? 8 What is 10439 to the power of 1/2, to the nearest integer? 102 What is 2080 to the power of 1/8, to the nearest integer? 3 What is the cube root of 99627 to the nearest integer? 46 What is 1303 to the power of 1/6, to the nearest integer? 3 What is 1532 to the power of 1/6, to the nearest integer? 3 What is 4673 to the power of 1/2, to the nearest integer? 68 What is the seventh root of 1229 to the nearest integer? 3 What is the tenth root of 2121 to the nearest integer? 2 What is the square root of 85992 to the nearest integer? 293 What is the third root of 2048 to the nearest integer? 13 What is the square root of 5372 to the nearest integer? 73 What is the eighth root of 11056 to the nearest integer? 3 What is 1273 to the power of 1/3, to the nearest integer? 11 What is the third root of 15884 to the nearest integer? 25 What is the third root of 27201 to the nearest integer? 30 What is 83576 to the power of 1/9, to the nearest integer? 4 What is 7776 to the power of 1/2, to the nearest integer? 88 What is 1018 to the power of 1/9, to the nearest integer? 2 What is the cube root of 16606 to the nearest integer? 26 What is 83788 to the power of 1/2, to the nearest integer? 289 What is the seventh root of 4124 to the nearest integer? 3 What is the tenth root of 1240 to the nearest integer? 2 What is the cube root of 1232 to the nearest integer? 11 What is the square root of 24806 to the nearest integer? 157 What is the third root of 7788 to the nearest integer? 20 What is the fifth root of 4163 to the nearest integer? 5 What is 12810 to the power of 1/2, to the nearest integer? 113 What is the third root of 651 to the nearest integer? 9 What is 60349 to the power of 1/2, to the nearest integer? 246 What is 10924 to the power of 1/7, to the nearest integer? 4 What is the square root of 7436 to the nearest integer? 86 What is 2636 to the power of 1/4, to the nearest integer? 7 What is 531 to the power of 1/3, to the nearest integer? 8 What is 6500 to the power of 1/2, to the nearest integer? 81 What is the cube root of 1488 to the nearest integer? 11 What is 29165 to the power of 1/4, to the nearest integer? 13 What is the square root of 92 to the nearest integer? 10 What is 913 to the power of 1/9, to the nearest integer? 2 What is 153 to the power of 1/3, to the nearest integer? 5 What is 32078 to the power of 1/5, to the nearest integer? 8 What is the third root of 4112 to the nearest integer? 16 What is the third root of 1239 to the nearest integer? 11 What is 55 to the power of 1/2, to the nearest integer? 7 What is 146 to the power of 1/3, to the nearest integer? 5 What is 306 to the power of 1/2, to the nearest integer? 17 What is the cube root of 583 to the nearest integer? 8 What is the eighth root of 1514 to the nearest integer? 2 What is the sixth root of 4249 to the nearest integer? 4 What is the third root of 17206 to the nearest integer? 26 What is 3840 to the power of 1/2, to the nearest integer? 62 What is the tenth root of 2264 to the nearest integer? 2 What is 65 to the power of 1/2, to the nearest integer? 8 What is the third root of 653 to the nearest integer? 9 What is the fifth root of 1470 to the nearest integer? 4 What is 12384 to the power of 1/5, to the neares
{ "pile_set_name": "DM Mathematics" }
Suppose -20 = -59*s + 54*s. Let d(o) = -o**3 + 5*o**2 - 4*o. Let g be d(3). Solve -5*t - g - 16 = h, 0 = t - s*h + 17 for t. -5 Let b be (-1 - 3/(-2)) + (-260)/(-104). Solve k = 5*t - b*k + 9, -3*t - 5*k = -2 for t. -1 Let h be 4/(-6) + (6 - 496/(-24)). Let l = 26 - h. Solve x = 3*q + 3, 3*x - x + 6 = l for q. -2 Suppose 12*w - p + 3 = 14*w, -5*w - 4*p + 6 = 0. Solve -2*f = -5*v - 9, w*v + 8*f = 7*f for v. -1 Let h = -1 + 1. Let d be h - (0 - (-8)/(-4)). Let l be (-42)/(-9) - d/(-6). Solve -20 = -l*u - 5*n, -2*n + 8 = -3*u - 5 for u. -1 Suppose -4 = -3*r + 3*q - 7, 0 = 4*r + 5*q + 4. Let w be (-1)/(r/(-3)) + 36. Let f be w/((-4)/(-8)*3). Solve -2*v - 5*z = -f, v + 4*z - 8*z = -15 for v. 1 Let r(t) = -t**3 - 14*t**2 + 11*t + 158. Let z be r(-14). Solve 5*u = 2*c - 31, -z*c + 5*u = -3*c - 28 for c. 3 Let q(o) be the second derivative of -o**5/20 - o**4/12 - o**2 + 15*o. Let h be q(-2). Solve -4*t - 20 = g - 3, -5*g = h*t + 31 for t. -3 Let u(c) = -c**3 - 6*c**2 + 7*c - 16. Let v be u(-7). Let i be (-3)/(44/v - -2). Solve 0 = -t + 5, -6 = -4*s - i*t + 2 for s. -3 Let d be (-6)/(-15) + (-24)/(-15). Let h be (-144)/27*6/d. Let w = h + 22. Solve 0 = -n - 2*f - 6, 2 = -4*f - w for n. -2 Let w = 22 - 10. Let s be (w/4)/((-3)/(-5)). Solve -n = -x, -s*n - x - 25 = -7 for n. -3 Let q(i) = i**3 + 16*i**2 + 28*i + 4. Let f be q(-14). Suppose 5*h + 2*u = 11, 2*h = -f*u - 0*u + 14. Solve 8*g - 3*g + t = -13, -4*g + 3*t + h = 0 for g. -2 Suppose p = 4*c - 8, 0*p + 5*p - 35 = -5*c. Solve -24 = -4*j + 5*a, p*j - 16 = -0*j + 3*a for j. 1 Let b = 15 - 3. Let q = 16 - b. Solve k = -3, q*k + 0*k = -5*i - 37 for i. -5 Suppose -19*a + 16 = -11*a. Suppose 9 = 4*p + l, -4*p = 2*l + a - 12. Solve 0 = -4*k + 5*q + 17, 2*k + 3*k - p*q = 0 for k. -2 Suppose 4*m - 9 = 3. Suppose n + 4*d - 2 = 0, 0 = -53*d + 49*d. Solve 4*r + 3*g = -m, 2 = -2*r - 3*r - n*g for r. 0 Let s = 64 + -64. Let d be (s - -37) + 3/(3/(-2)). Solve 0*g - 4*g - 3 = t, -5*t + 5*g = -d for t. 5 Let i be (-120)/18*(-6)/(-4). Let r be ((-42)/i)/((-9)/45). Let s = -20 - r. Solve -s = 2*d + 5*j + 1, 26 = 5*d - 3*j for d. 4 Suppose -20*t + 195 = 115. Solve -5*c + 26 = -4*o, -t*o - 3 - 7 = 3*c for c. 2 Let c(x) = -2*x**2 + 16*x - 9. Let j be c(6). Suppose 5*n - 17*v + 12*v = -5, n = -5*v + 17. Solve 3*t = 3*q + n*q - j, 2*t = -4*q + 12 for q. 3 Let u = 50 + -47. Suppose -4*f - f - 2*a + 26 = 0, -5*a - 10 = 0. Suppose 0 = f*q - 2*q. Solve -5*p + u*v = 0, -5*p = -v - q*v for p. 0 Let p = -20 + 25. Suppose -6 - 4 = -p*w. Suppose -w*s - 35 = -3*s. Solve 4*y - 3*g + s = 0, 3*y = -2*g - 3 - 2 for y. -5 Let j(m) = m**2 - 5*m + 4. Let w be j(0). Solve 2*c - b + 0*b = 0, 2*b = -w*c - 8 for c. -1 Let i(t) = -1 + 0 + t + 4. Let b be i(0). Let j = -15 + 47. Solve 0 = b*y + 4*u + j, -5*y + 4*y - 3*u = 19 for y. -4 Let u be (-12)/24 + 58/4. Suppose -u*k = -8*k - 12. Solve -5*i + a - 10 = 0, -k*a + 4 = -2*i - 6*a for i. -2 Let w = -4 + 20. Suppose -3*c - 5*k + 12 = 0, -k = 4*c - 6*k - w. Solve 0 = -h + 2, 2*d + 7 + 1 = c*h for d. 0 Suppose 2*j - v = 127, -3*j + j = 3*v - 123. Let s = -41 + j. Solve -f = 4*w + 12, 6*f + w + s = f for f. -4 Suppose 2*j + 0*j = 16. Let f be 1 + (-11 - -4) + -2. Let x(z) = z**3 + 9*z**2 + 7*z + 11. Let m be x(f). Solve o + 11 = 2*g, j*g - m = 5*g + 4*o for g. 5 Suppose 0 = -2*l + 7*l - 50. Suppose -l*t + 7*t + 15 = 0. Solve t*n = a - 11, 0 = -4*a - 5*n - 34 + 3 for a. -4 Suppose 0 = -3*w + 3*w + 7*w. Solve 2*a + 4*q + 8 + 14 = w, a - 24 = 5*q for a. -1 Let j be (0 + 0)*(-1 - -2). Let a = -6687 - -6702. Solve -r - 3*z - 9 = 0, j*r + 5*z = r - a for r. 0 Suppose 2*n + 3*f = 32, -4 = -3*n + f + 55. Let q(o) = -n*o + 2*o - 11*o. Let k be q(-1). Solve -5*m + 10*m + 4 = -4*l, 4*l - k = 3*m for m. -4 Suppose 4 = 8*v - 6*v. Let h(q) = 2*q**3 - 4*q**2 - q + 2. Let d be h(v). Solve 4 = m - 4*i + 2*i, -2*m + 3*i + 6 = d for m. 0 Let r = -642 - -645. Solve 0*k + r*k - 4*y = 7, 0 = -4*k - 5*y + 30 for k. 5 Suppose w - 5 = -0*w. Let j = 672 - 670. Solve w*u = 25, -4*n + 3*u - j = u for n. 2 Let j be (-3 - -1)/(1/(-2)). Let m = 98 + -96. Suppose a + 3 = -m, 0 = -f - 4*a - 20. Solve -v + 5*q + 4 + j = 0, -5*v + q + 16 = f for v. 3 Let f(x) = x**2 + 17*x - 15. Let m be f(-18). Let t be (6/(-8))/(-5*9/900). Solve 0*a + 5*p = m*a - 40, 4*p = -a - t for a. 5 Let h be ((-1)/(-2))/(27/108). Solve 0 = 5*j - 5*q + 5, -h*j - 3*j - 7 = -4*q for j. -3 Let j = -6 - 9. Let n = -11 - j. Suppose 0 = 3*u - n*w - 16, -u + w + 17 = 3*u. Solve -5*s + m = -10, 0*s + 3*m = -u*s + 8 for s. 2 Let y be -3 - 175/(-20) - 2/(-8). Suppose y*g = 5*g + 18. Solve -5*q = 3*m + g, 4*q - m + 6*m = -17 for q. -3 Suppose -5*d = -13*t + 10*t - 1, 3*t - 3 = 3*d. Solve -h - b = -5 - 2, t*b - 3 = 3*h for h. 3 Let z be (-18)/90 - 51/(-5). Solve -d - 4*k - 29 = 2*d, -5*k = -5*d + z for d. -3 Let d be -38 - ((-10)/2)/5. Let c = 42 + d. Solve 36 = 4*t + 4*l, t + 3*l = c*t - 1 for t. 4 Let q = -263 + 266. Solve 3 = 3*g + 5*f, 2*f + 14 = -q*g - 2*g for g. -4 Let w be -1 + (1 - (3 + -3)). Suppose c - 7 + 5 = w. Solve 10 = c*y - 3*o - 4, 3*y - 2*o = 11 for y. 1 Let q(s) = 2*s + 62. Let w be q(-29). Solve -w*t - 2*n = 0, -t - 2*n = -0*t + 3 for t. 1 Suppose -11*f - 150 = -21*f. Suppose 4*i - 10 = -t, 2*t + 0*i = 4*i + 20. Solve -5*z - t - f = -3*r, -5 = z for r. 0 Suppose -6*b = -9*b - 3*g + 312, 4*g - 20 = 0. Let w = b + -94. Solve 2*z + 6 = 0, 2*h + 0*h - 7 = w*z for h. -4 Suppose -121*k + 119*k + 2 = 0. Solve 0 = 5*l - 5*p + 5, -l + 2*p + 0 = -k for l. -3 Let a = 306 + -301. Suppose -2*d = -d - 79. Suppose -d + 19 = -5*s. Solve -2*b = -5*y - s, b = a*y + 2*b + 24 for y. -4 Let l = 237 + -235. Solve 0 = 2*h + 2*g + l, -h + 3*g - 9 = -0*h for h. -3 Let g = 35 + -56. Let p = 26 + g. Solve 4*m = p*u - u, 3*u = -m - 16 for u. -4 Let o = 3 - 3. Let v = -64 - -106. Let m = -29 + v. Solve -2*p - m = 5*x + 2*p, -4*x - 4*p - 8 = o for x. -5 Suppose 0 = 2*x + 5 - 1. Let t be x*(-5)/(-6)*-3. Solve -22 = -t*b + 2*k, b - 2 = -3*k + k for b. 4 Suppose 7 = 5*r - 3. Suppose -4*n = -r*h + 4, -2 = 5*h - 3*n - 40. Let u be ((-42)/(-35))/(4/h). Solve -2*x - 2*x - u*j + 14 = 0, 3*x = 4*j - 2 for x. 2 Suppose -7*l + 3*l + 2*t + 22 = 0, 0 = 3*l + 5*t - 36. Let a = -5 - -10. Suppose -l*i + a*i = -38. Solve -3*b + 5*h + i = 0, 0*b + 12 = 4*b - 4*h for b. -2 Let b = -143 - -188. Suppose 2*p - 192 = -p. Let o = p - b. Solve -3*m = -r - 11 - 4, 0 = r - 4*m + o for r. -3 Let h = -240 + 243. Solve -8*z + 4*p - 27 = -h*z, 2*z + 5*p - 9 = 0 for z. -3 Let d be 2 + 4 - (8 - 5). Let r = 42 - 23. Let j = -8 + r. Solve -o - j = -5*f, -3*f + o - 7 = -d*o for f. 3 Let s(v) = -v**3 + 46*v**2 + 46*v + 49. Let n be s(47). Solve -c = -n*c + 4*w + 5, -3*c - 4*w = -15 for c. 5 Let m = 7 - 4. Suppose -f + 229 = 5*s, -3*f - 55 - 178 = -5*s. Suppose -2*a + 2*n + 11 = -21, 4*n + s = m*a. Solve -4*h = -3*g + 8, 2*g + 2*h + 0*h = -a for g. -4 Let y(a) = 2*a + 5. Let h be y(-3). Let c be (0 + 1)*(-1)/h - -2. Solve -2*f + 5 = 2*o + 3*f, 2*o = c*f - 3 for o. 0 Let l = -35 + 35. Suppose l = 5*f - 25, -4*f + 20 + 0 = -2*o. Solve -6 = 2*q, -x + o*x - 14 = 3*q for x. -5 Let w be (-4 + -3 + 2)/(-1). Suppose w*i + 21 = -p, -5*i = 4*p + p + 5. Let s be 3/((-8)/(-4) + -1). Solve -p*b + j + 11 = 0, b - 5*j + 11 = s*b for b. 3 Suppose 4*w = 5*d - 23, 0 = -4*w - 9 + 1. Solve -4 = 8*v - 4*v, -3*r + d*v - 12 = 0 for r. -5 Suppose -3*s + 1 = 4*b + 13, 0 = 2*s + 8. Let r be 4/10*(0 + 15/3). Solve b = x - r, 4*x = 3*u - 0 + 17 for u. -3 Let t = -48 + 42. Let a be (2 - (-16)/t)/(14/(-105)). Solve 3*g + v = 20, -v - 4*v = -a*g for g. 5 Let z be (-1 - -1)/(-2 + (6 - 5)). Suppose -5*t = -2*t + 6. Let w be (2 + t)*1/(-2). Solve 4*j - 11 = 5*u - z, w = 3*j + 2*u - 14 for j. 4 Let v(y) = y**3 - 4*y**2 + 4*y. Let d(x) = x**3 - 10*x**2 + x - 8. Let l be d(10). Let a be v(l). Solve -3 = 2*s - 5, -2*w + s + 3 = a for w. 2 Let l = -93 - -96. Solve l*y + 2*i - 3 + 0 = 0, 3 = -3*y - 4*i for y. 3 Let g(q) = q**3 - 2*q**2 - q. Let w be g(3). Let k = -4 + 4. Let f(m) = m + 17. Let b be f(k). Solve 0 = 5*s - 3*o + b, 0 = s + 3*o - w - 5 for s. -1 Let p be (-4)/2*(-25)/10. Let c(s) = s - 3. Let r be c(7). Suppose 5*f + 3 = 2*y - 18, 3*y + r*f = -3. Solve 4*v + y*h = -12, 3*v + p*h - 16 = 9*h for v. 0 Let s be (-1 - 15/(-25))*-10. Suppose -9
{ "pile_set_name": "DM Mathematics" }
is 713308 to the power of 1/4, to the nearest integer? 29 What is the square root of 14782373 to the nearest integer? 3845 What is 4796857 to the power of 1/8, to the nearest integer? 7 What is the eighth root of 27303 to the nearest integer? 4 What is the third root of 2530660 to the nearest integer? 136 What is 61131 to the power of 1/2, to the nearest integer? 247 What is 21049175 to the power of 1/5, to the nearest integer? 29 What is the third root of 4837638 to the nearest integer? 169 What is the square root of 1587138 to the nearest integer? 1260 What is 4617854 to the power of 1/3, to the nearest integer? 167 What is 787070 to the power of 1/6, to the nearest integer? 10 What is the square root of 21109141 to the nearest integer? 4594 What is the fifth root of 339129 to the nearest integer? 13 What is 4305358 to the power of 1/4, to the nearest integer? 46 What is the eighth root of 1861793 to the nearest integer? 6 What is 21654966 to the power of 1/7, to the nearest integer? 11 What is 249064 to the power of 1/2, to the nearest integer? 499 What is the fifth root of 707517 to the nearest integer? 15 What is the cube root of 628314 to the nearest integer? 86 What is the third root of 24089479 to the nearest integer? 289 What is the cube root of 4454246 to the nearest integer? 165 What is 8652577 to the power of 1/8, to the nearest integer? 7 What is 12337884 to the power of 1/3, to the nearest integer? 231 What is the cube root of 526231 to the nearest integer? 81 What is 521901 to the power of 1/2, to the nearest integer? 722 What is 1323379 to the power of 1/5, to the nearest integer? 17 What is 9799 to the power of 1/3, to the nearest integer? 21 What is the square root of 167600 to the nearest integer? 409 What is the third root of 3284074 to the nearest integer? 149 What is 778241 to the power of 1/8, to the nearest integer? 5 What is the third root of 122736 to the nearest integer? 50 What is the tenth root of 1104140 to the nearest integer? 4 What is 5764570 to the power of 1/2, to the nearest integer? 2401 What is the seventh root of 6016879 to the nearest integer? 9 What is the third root of 25440323 to the nearest integer? 294 What is 3853431 to the power of 1/10, to the nearest integer? 5 What is 6647688 to the power of 1/3, to the nearest integer? 188 What is 7066193 to the power of 1/2, to the nearest integer? 2658 What is 1841544 to the power of 1/3, to the nearest integer? 123 What is 525026 to the power of 1/3, to the nearest integer? 81 What is the fifth root of 14633159 to the nearest integer? 27 What is 266281 to the power of 1/6, to the nearest integer? 8 What is the square root of 12996660 to the nearest integer? 3605 What is 152020 to the power of 1/2, to the nearest integer? 390 What is 20507932 to the power of 1/2, to the nearest integer? 4529 What is the sixth root of 1886380 to the nearest integer? 11 What is the cube root of 1684888 to the nearest integer? 119 What is 2548157 to the power of 1/7, to the nearest integer? 8 What is 9103708 to the power of 1/9, to the nearest integer? 6 What is 2585923 to the power of 1/2, to the nearest integer? 1608 What is the square root of 628724 to the nearest integer? 793 What is the eighth root of 90194 to the nearest integer? 4 What is 1688399 to the power of 1/7, to the nearest integer? 8 What is the cube root of 16109922 to the nearest integer? 253 What is 659885 to the power of 1/5, to the nearest integer? 15 What is the square root of 3955438 to the nearest integer? 1989 What is 315863 to the power of 1/10, to the nearest integer? 4 What is the cube root of 1066012 to the nearest integer? 102 What is the square root of 4818696 to the nearest integer? 2195 What is 324898 to the power of 1/3, to the nearest integer? 69 What is the third root of 109421 to the nearest integer? 48 What is the tenth root of 405157 to the nearest integer? 4 What is the cube root of 15119726 to the nearest integer? 247 What is the third root of 3234056 to the nearest integer? 148 What is 1938395 to the power of 1/2, to the nearest integer? 1392 What is 10769294 to the power of 1/10, to the nearest integer? 5 What is the sixth root of 3352109 to the nearest integer? 12 What is the sixth root of 2971367 to the nearest integer? 12 What is 121204 to the power of 1/3, to the nearest integer? 49 What is 11623782 to the power of 1/5, to the nearest integer? 26 What is 807739 to the power of 1/3, to the nearest integer? 93 What is 41716 to the power of 1/2, to the nearest integer? 204 What is 3389949 to the power of 1/9, to the nearest integer? 5 What is 33085127 to the power of 1/9, to the nearest integer? 7 What is the cube root of 6754427 to the nearest integer? 189 What is the square root of 186112 to the nearest integer? 431 What is 583225 to the power of 1/2, to the nearest integer? 764 What is the square root of 6484002 to the nearest integer? 2546 What is the square root of 100382 to the nearest integer? 317 What is the cube root of 289320 to the nearest integer? 66 What is 23579693 to the power of 1/7, to the nearest integer? 11 What is the ninth root of 3102250 to the nearest integer? 5 What is 13130767 to the power of 1/6, to the nearest integer? 15 What is 345774 to the power of 1/2, to the nearest integer? 588 What is 174940 to the power of 1/2, to the nearest integer? 418 What is 1216199 to the power of 1/2, to the nearest integer? 1103 What is 1461760 to the power of 1/2, to the nearest integer? 1209 What is the cube root of 5991453 to the nearest integer? 182 What is 3078263 to the power of 1/3, to the nearest integer? 145 What is 1125752 to the power of 1/2, to the nearest integer? 1061 What is the third root of 1678142 to the nearest integer? 119 What is 1278320 to the power of 1/8, to the nearest integer? 6 What is 2474587 to the power of 1/5, to the nearest integer? 19 What is 996488 to the power of 1/3, to the nearest integer? 100 What is the seventh root of 834219 to the nearest integer? 7 What is the cube root of 34729792 to the nearest integer? 326 What is 3414522 to the power of 1/3, to the nearest integer? 151 What is the third root of 929367 to the nearest integer? 98 What is 730835 to the power of 1/7, to the nearest integer? 7 What is 946654 to the power of 1/3, to the nearest integer? 98 What is the eighth root of 1560068 to the nearest integer? 6 What is 4791828 to the power of 1/3, to the nearest integer? 169 What is 10296020 to the power of 1/2, to the nearest integer? 3209 What is 1058994 to the power of 1/2, to the nearest integer? 1029 What is the fifth root of 938593 to the nearest integer? 16 What is the square root of 506324 to the nearest integer? 712 What is 5478846 to the power of 1/10, to the nearest integer? 5 What is 2347034 to the power of 1/2, to the nearest integer? 1532 What is the fifth root of 198455 to the nearest integer? 11 What is 295555 to the power of 1/9, to the nearest integer? 4 What is the fifth root of 33633 to the nearest integer? 8 What is 41867 to the power of 1/3, to the nearest integer? 35 What is the third root of 178943 to the nearest integer? 56 What is the square root of 248713 to the nearest integer? 499 What is 2926013 to the power of 1/3, to the nearest integer? 143 What is the square root of 399212 to the nearest integer? 632 What is 84054 to the power of 1/6, to the nearest integer? 7 What is 772542 to the power of 1/2, to the nearest integer? 879 What is the square root of 510231 to the nearest integer? 714 What is the seventh root of 32598163 to the nearest integer? 12 What is the square root of 5187523 to the nearest integer? 2278 What is 3636117 to the power of 1/2, to the nearest integer? 1907 What is the third root of 5890622 to the nearest integer? 181 What is the cube root of 5675429 to the nearest integer? 178 What is 1123815 to the power of 1/2, to the nearest integer? 1060 What is the cube root of 10062421 to the nearest integer? 216 What is 3224539 to the power of 1/2, to the nearest integer? 1796 What is the third root of 14675042 to the nearest integer? 245 What is 1060447 to the power of 1/2, to the nearest integer? 1030 What is the square root of 374617 to the nearest integer? 612 What is the sixth r
{ "pile_set_name": "DM Mathematics" }
11001111101100111 In base 7, what is -3 + -110115161? -110115164 In base 8, what is 120 + -1357162? -1357042 In base 16, what is -433d + 1ee? -414f In base 6, what is 132 - -2052201? 2052333 In base 13, what is 43a + -437a? -3c40 In base 13, what is -17c8a80 - 5? -17c8a85 In base 16, what is -1c + -6fdd2? -6fdee In base 2, what is -1000010011111001 + 1000000000? -1000001011111001 In base 6, what is -12251203 - -5? -12251154 In base 3, what is 10122212121 - -102002? 10200021200 In base 5, what is -121401010 - 1041? -121402101 In base 15, what is -4 + 1441644? 1441640 In base 10, what is 12 - 1727829? -1727817 In base 9, what is -2855 + -13564? -16530 In base 2, what is -100 - 1101010011101000110001? -1101010011101000110101 In base 10, what is 17 + -900667? -900650 In base 14, what is 1 - -2db78536? 2db78537 In base 10, what is -5 - 11285020? -11285025 In base 14, what is -613a2 + 2d7? -610a9 In base 7, what is -32132351 + -4? -32132355 In base 9, what is -250077848 + 5? -250077843 In base 7, what is -1242366264 - 3? -1242366300 In base 12, what is 5a1a - 886? 5154 In base 11, what is -5 + 6825a? 68255 In base 13, what is -648907b - -4? -6489077 In base 2, what is -10 + -1011110011001100000? -1011110011001100010 In base 7, what is 2115426 + -262? 2115134 In base 9, what is -7852564 - -45? -7852518 In base 13, what is -13762 - ab2? -14544 In base 13, what is -406175 - 0? -406175 In base 2, what is 11100111010110100010101 - -100? 11100111010110100011001 In base 15, what is 2dc649 + d? 2dc657 In base 2, what is -110110110111 + -100110100111? -1011101011110 In base 7, what is -4 + -1146506345? -1146506352 In base 11, what is 4 - 1957791? -1957788 In base 2, what is -10110111110010101101101 - 10? -10110111110010101101111 In base 2, what is 110011101101111 - -110010101110? 111010000011101 In base 2, what is -1 - 1110000010011000000110101001? -1110000010011000000110101010 In base 7, what is -26363526 - -1123? -26362403 In base 7, what is -5 + 661335563? 661335555 In base 7, what is 3 - -633230231? 633230234 In base 9, what is -1532 + -22346? -23878 In base 16, what is 6bb3 + f19? 7acc In base 3, what is 12221011012012 + 0? 12221011012012 In base 11, what is 1 - 176112aa7? -176112aa6 In base 13, what is -3983557 + 4? -3983553 In base 9, what is -1 + -778548? -778550 In base 9, what is 180 + 6743? 7033 In base 12, what is -164924a1 - 4? -164924a5 In base 13, what is 2c519a58 - -2? 2c519a5a In base 10, what is 4835 + 16453? 21288 In base 13, what is 125a7154 + 1? 125a7155 In base 2, what is 10010100111111110001111 - -1100? 10010100111111110011011 In base 11, what is 5 - -952410? 952415 In base 15, what is -a63 + 3d? -a25 In base 8, what is -3 - 35103561? -35103564 In base 15, what is -2c0b6 - -32? -2c084 In base 2, what is 10010101011010001111110101110 + 1? 10010101011010001111110101111 In base 13, what is -449c + -8c? -455b In base 10, what is -78886 + 204? -78682 In base 3, what is -12220 - -1021000? 1001010 In base 10, what is 329 + 29659? 29988 In base 11, what is 9157851 - 20? 9157831 In base 15, what is aa0 - -1ceeb? 1da9b In base 4, what is -200202020 + 3003? -200133011 In base 11, what is 1357a - 210? 1336a In base 9, what is 1222 - -2862? 4184 In base 11, what is -5 + a2857993? a2857989 In base 9, what is 1677136 + 56? 1677203 In base 9, what is -2272 - -103184? 100812 In base 15, what is ed1 + -476b? -378a In base 7, what is -11126254260 + -3? -11126254263 In base 16, what is 3 + d4efa8? d4efab In base 6, what is -342 - 3201101? -3201443 In base 15, what is -4 - 108038? -10803c In base 2, what is 101010 + -1111101001101111? -1111101001000101 In base 11, what is 2 + 4564944? 4564946 In base 8, what is -62345566 + -13? -62345601 In base 5, what is -3102221200330 - 1? -3102221200331 In base 8, what is 242226445 + -5? 242226440 In base 5, what is 1023121103 + -44? 1023121004 In base 11, what is 80 - 15614a8? -1561428 In base 12, what is 7551084 - 3? 7551081 In base 10, what is -744 - -49177? 48433 In base 14, what is 42439bd - -d? 42439cc In base 12, what is -1068709 - 58? -1068765 In base 5, what is -130 - 41031020? -41031200 In base 16, what is 8e40 + 331a? c15a In base 2, what is 10111111001101001 + -101111100? 10111110011101101 In base 4, what is 2 + -3211211332? -3211211330 In base 15, what is -c7 + -217? -2de In base 7, what is -351 - 50616663? -50620344 In base 10, what is 4495071 - -9? 4495080 In base 10, what is 12104372 - 4? 12104368 In base 14, what is -3 - -2205b6c? 2205b69 In base 2, what is 10101111110011111010 + 100111? 10101111110100100001 In base 4, what is -200213020 - -330221? -133222133 In base 6, what is 204455304 - 405? 204454455 In base 9, what is 23 + -681303? -681270 In base 3, what is 22002122212102110001 - 2? 22002122212102102222 In base 9, what is 33 - -327823? 327856 In base 13, what is -1b4 - -327b6? 32602 In base 11, what is -64876 - -11a? -64757 In base 3, what is 11 + 111001220002110220? 111001220002111001 In base 9, what is -14567 + 713? -13754 In base 4, what is 12131302 + 3230023? 22021331 In base 3, what is -2110121101000 - 1102? -2110121102102 In base 7, what is 6114312 + 42? 6114354 In base 11, what is 59435 + -405? 59030 In base 3, what is 10 + 2011201111122211? 2011201111122221 In base 6, what is -5 + -15121242? -15121251 In base 2, what is -1011101000011 - 110100000100? -10010001000111 In base 3, what is 12222021100101 + 21? 12222021100122 In base 4, what is -22020 - 103223302? -103311322 In base 13, what is 4bc53 - -1211? 50164 In base 3, what is 10101212 - 220101? 2111111 In base 11, what is 1628751 - -9? 162875a In base 3, what is -1022001221010 + 1000011? -1022000220222 In base 14, what is -3749 - -d8? -3651 In base 7, what is 5310 + 41020? 46330 In base 3, what is -1102120012 - -1022212? -1101020100 In base 10, what is -258125145 - 3? -258125148 In base 3, what is 1112100220 - 10220211? 1101110002 In base 15, what is 7de - 40deb? -4060c In base 13, what is 153 - -519b? 5321 In base 11, what is -165633 + 256? -165388 In base 10, what is -4926 + 309? -4617 In base 10, what is 0 - -36199979? 36199979 In base 11, what is -43478502 + -1? -43478503 In base 12, what is 10476a + 4? 104772 In base 7, what is 11 + -2033550333? -2033550322 In base 13, what is 4007b13 - 3? 4007b10 In base 13, what is -1ba62 + -136? -1bb98 In base 12, what is 37bab9 + -47? 37ba72 In base 14, what is 131d4 + -2? 131d2 In base 11, what is 3075590 + -5? 3075586 In base 16, what is -5e38 - -2df? -5b59 In base 11, what is -256639 - -878? -255871 In base 11, what is -8 - 78684176? -78684183 In base 7, what is 314262 - -23? 314315 In base 16, what is 36 + -8ca48? -8ca12 In base 3, what is -20 + 11200000020? 11200000000 In base 8, what is -7442 + 30321? 20657 In base 14, what is -8 + 19c254? 19c24a In base 11, what is -17 - 1019a192? -1019a1a9 In base 5, what is -10130111 + -1220? -10131331 In base 7, what is 102356052 + -3? 102356046 In base 5, what is 333240 - -2224433? 3113223 In base 15, what is 2101 + -8b8? 1738 In base 5, what is -1300410 + -12403? -1313313 In base 12, what is a6 - -2a6a? 2b54 In base 12, what is -2286580 - 5? -2286585 In base 12, what is -8 + -1a8a1? -1a8a9 In base 4, what is -10 - 122200223203233? -122200223203303 In base 3, what is -10201102012 - 221020? -10202100102 In base 8, what is -6111400663 + 2? -6111400661 In base 15, what is -9a2 - -a58? a6 In base 12, what is 4a325a + -7? 4a3253 In base 10, what is -68 - -201076? 201008 In base 13, what is -c + -1160c71? -1160c80 In base 15, what is 1915 + a65? 247a In base 14, what is b16 + -1645? -92d In base 5, what is -2040400 + -124414? -2220314 In base 13, what is 2a4b23 + 125? 2a4c48 In base 8, what is 0 - 1531407735? -1531407735 In base 14, what is -26dd - 75? -2774 In base 16, what is 1c - 1dc01? -1dbe5 In base 5, what is 21 + 42011210331? 42011210402 In base 3, what is -12 - 10020112020200102? -10020112020200121 In base 4, what is -23 - 31310202020? -31310202103 In base 16, what is -f38 + 1f? -f19 In base 10, what is -739 - -4569? 3830 In base 2, what is -1000100100001000001101 - 11? -1000100100001000010000 In base 13, what is -1ac18516 + -a? -1ac18523 In base 5, what is -1112131222001 + 0? -1112131222001 In base 14, what is 0 - 8c8ba3? -8c8ba3 In base 3, w
{ "pile_set_name": "DM Mathematics" }
. Give prob of sequence jwv. 5/429 Calculate prob of sequence vwvv when four letters picked without replacement from vwwwvwwwvwvwwwwwvww. 35/3876 Two letters picked without replacement from {d: 3, p: 2, c: 6, n: 4, a: 1}. Give prob of sequence ad. 1/80 Calculate prob of sequence gfr when three letters picked without replacement from rgrrrrfrrkkrrrk. 1/273 What is prob of sequence kkwr when four letters picked without replacement from {k: 2, o: 1, i: 2, w: 4, r: 1, l: 2}? 1/1485 What is prob of sequence qeoq when four letters picked without replacement from oeideeeqqeeo? 1/495 What is prob of sequence mbm when three letters picked without replacement from mbmmb? 1/5 Calculate prob of sequence ssqs when four letters picked without replacement from aqsssasassaaaaaaaa. 1/612 Two letters picked without replacement from jqvvqvvvqvjqvvvq. What is prob of sequence jq? 1/24 Calculate prob of sequence wwi when three letters picked without replacement from iwlwl. 1/30 Calculate prob of sequence wzq when three letters picked without replacement from wczqhwz. 2/105 Calculate prob of sequence ud when two letters picked without replacement from {y: 3, j: 1, u: 3, g: 2, s: 1, d: 1}. 3/110 What is prob of sequence yw when two letters picked without replacement from yywffuyzzffywvywyyww? 7/76 What is prob of sequence hmm when three letters picked without replacement from {h: 2, m: 3}? 1/5 What is prob of sequence me when two letters picked without replacement from {m: 6, k: 6, v: 3, e: 3}? 1/17 Three letters picked without replacement from {u: 7, h: 1}. Give prob of sequence huu. 1/8 What is prob of sequence ov when two letters picked without replacement from {v: 15, o: 2, t: 3}? 3/38 What is prob of sequence ce when two letters picked without replacement from {e: 2, c: 1, r: 1}? 1/6 What is prob of sequence qtq when three letters picked without replacement from {t: 2, b: 6, q: 4}? 1/55 Calculate prob of sequence amx when three letters picked without replacement from mmaxmmjmlpmaaxmm. 1/70 What is prob of sequence ahn when three letters picked without replacement from {n: 8, h: 2, a: 9, i: 1}? 2/95 Calculate prob of sequence sqq when three letters picked without replacement from qsqq. 1/4 What is prob of sequence ou when two letters picked without replacement from {m: 1, v: 4, u: 1, y: 1, o: 11, z: 2}? 11/380 Three letters picked without replacement from yyyyyy. Give prob of sequence yyy. 1 What is prob of sequence hhnh when four letters picked without replacement from {n: 13, h: 5}? 13/1224 Four letters picked without replacement from ibbiibbiiiiibiiiii. What is prob of sequence bbib? 13/1224 Three letters picked without replacement from {m: 1, z: 7}. Give prob of sequence zmz. 1/8 Two letters picked without replacement from {c: 2, q: 2, s: 4, h: 1, j: 5}. Give prob of sequence hs. 2/91 What is prob of sequence dv when two letters picked without replacement from kckwwvwwkdewvkkw? 1/120 What is prob of sequence udu when three letters picked without replacement from {d: 13, u: 5}? 65/1224 What is prob of sequence aaa when three letters picked without replacement from {j: 3, b: 1, a: 3, k: 2, d: 2, n: 4}? 1/455 What is prob of sequence ioo when three letters picked without replacement from iioiiioiiiiiiioioi? 7/204 Calculate prob of sequence pp when two letters picked without replacement from spsppspgpsp. 3/11 Calculate prob of sequence prw when three letters picked without replacement from {r: 2, p: 2, w: 1}. 1/15 Calculate prob of sequence zdd when three letters picked without replacement from dzzzzddzzzzdzz. 5/91 What is prob of sequence uhc when three letters picked without replacement from cjunnhcuunhihc? 9/728 Three letters picked without replacement from {p: 3, x: 4, q: 1}. What is prob of sequence qpp? 1/56 Two letters picked without replacement from {z: 2, y: 1, d: 1}. What is prob of sequence zd? 1/6 What is prob of sequence klyl when four letters picked without replacement from lookooyyklkkkkkoylo? 7/5168 Four letters picked without replacement from mmyggrmmiiip. Give prob of sequence mmgp. 1/495 Three letters picked without replacement from {o: 3, e: 1, t: 2, f: 1, s: 8, l: 5}. What is prob of sequence efl? 1/1368 Four letters picked without replacement from zzezzzez. What is prob of sequence zeez? 1/28 Calculate prob of sequence mxc when three letters picked without replacement from xkmxcjjmz. 1/126 What is prob of sequence zzzz when four letters picked without replacement from {y: 5, z: 3}? 0 What is prob of sequence nr when two letters picked without replacement from nnnrrnnnrrnnnn? 20/91 Calculate prob of sequence pvpr when four letters picked without replacement from rvvvvpvvvpvvvvvvv. 1/2040 Three letters picked without replacement from {v: 1, a: 1, g: 2, s: 1, h: 2, j: 2}. What is prob of sequence gjv? 1/126 Calculate prob of sequence jg when two letters picked without replacement from {p: 1, g: 1, v: 10, j: 1, u: 6}. 1/342 What is prob of sequence wjh when three letters picked without replacement from jbbwjhhhbbhhhwhhbbb? 16/2907 Three letters picked without replacement from {s: 2, x: 2, i: 1, f: 9}. What is prob of sequence six? 1/546 Calculate prob of sequence ctcq when four letters picked without replacement from {c: 4, q: 7, t: 5}. 1/104 Two letters picked without replacement from {v: 9, e: 3, l: 2, a: 5}. Give prob of sequence ee. 1/57 Four letters picked without replacement from qqqqhqhhqqhh. Give prob of sequence qhqh. 7/99 Four letters picked without replacement from {j: 17, u: 3}. Give prob of sequence juuj. 4/285 Four letters picked without replacement from {e: 3, r: 5}. What is prob of sequence rrrr? 1/14 What is prob of sequence jt when two letters picked without replacement from {h: 7, j: 1, t: 4, e: 2, r: 4}? 2/153 Two letters picked without replacement from ettteet. Give prob of sequence te. 2/7 Four letters picked without replacement from {b: 2, w: 5}. What is prob of sequence bwwb? 1/21 Four letters picked without replacement from fiecifs. Give prob of sequence ffec. 1/420 Calculate prob of sequence cn when two letters picked without replacement from tcncccptc. 5/72 What is prob of sequence qvq when three letters picked without replacement from {q: 2, v: 4}? 1/15 Two letters picked without replacement from ykouospkp. Give prob of sequence ku. 1/36 Two letters picked without replacement from jwjajjwv. Give prob of sequence vj. 1/14 Calculate prob of sequence gggg when four letters picked without replacement from ggggggg. 1 Calculate prob of sequence pc when two letters picked without replacement from {c: 2, p: 2}. 1/3 Two letters picked without replacement from {a: 1, p: 3, f: 1}. What is prob of sequence fa? 1/20 Three letters picked without replacement from {t: 5, b: 2}. What is prob of sequence bbt? 1/21 Two letters picked without replacement from jjjjjjjajjjjrjjjr. What is prob of sequence ra? 1/136 Three letters picked without replacement from {y: 1, m: 4, c: 1, t: 2, a: 2}. What is prob of sequence aym? 1/90 What is prob of sequence bboo when four letters picked without replacement from bbobobbbbbbo? 2/55 Calculate prob of sequence kvz when three letters picked without replacement from {n: 3, v: 1, k: 1, s: 4, r: 7, z: 2}. 1/2448 Calculate prob of sequence ih when two letters picked without replacement from uhilolh. 1/21 What is prob of sequence fkkk when four letters picked without replacement from kgggf? 0 Four letters picked without replacement from jxkzuuxxzjugku. What is prob of sequence kzzu? 2/3003 Calculate prob of sequence zg when two letters picked without replacement from zrgzqrrgzzzggzzzzgrr. 9/76 Two letters picked without replacement from qqqqiqqq. What is prob of sequence qi? 1/8 Two letters picked without replacement from cczzcczzczzzzzzzczz. Give prob of sequence zz. 26/57 Calculate prob of sequence xf when two letters picked without replacement from {f: 2, t: 1, x: 1, j: 1}. 1/10 Three letters picked without replacement from {z: 9, u: 1, n: 4, k: 2}. Give prob of sequence nnz. 9/280 Four letters picked without replacement from ueupuuypnppk. What is prob of sequence eykp? 1/2970 Two letters picked without replacement from fdffffdddddf. What is prob of sequence dd? 5/22 What is prob of sequence ozz wh
{ "pile_set_name": "DM Mathematics" }
) + 8*z(w). Determine p(a(d)). -36*d**4 Let n(r) = -36*r + 11. Let y(f) = -19*f + 6. Let j(k) = -6*n(k) + 11*y(k). Let z(c) = -c**2. Determine z(j(l)). -49*l**2 Let a(c) = 98*c**2. Let l(y) = 59752*y + 1 - 59738*y - 1. What is a(l(d))? 19208*d**2 Let b(g) = -4*g - 62. Let u(c) be the first derivative of -2*c**3/3 - 41. Determine u(b(k)). -32*k**2 - 992*k - 7688 Let t(y) = -5736*y**2. Let f(m) = 3*m**2. Determine f(t(g)). 98705088*g**4 Let p(f) = -33*f + 17. Let s(i) = 4*i - 2. Let z(x) = -6*p(x) - 51*s(x). Let l = -193 + 218. Let q(m) = 19*m + 21*m - 68*m + l*m. Determine z(q(j)). 18*j Let m(u) be the second derivative of -3*u**3/2 + u. Let z(y) = 9*y - 2. Let d(b) = -13*b + 3. Let r(i) = 4*d(i) + 6*z(i). Determine m(r(s)). -18*s Let j(a) = 2698*a + 1. Let y(f) = -18*f. What is j(y(l))? -48564*l + 1 Let h(y) = y. Let x(g) = 121*g + 4. What is h(x(q))? 121*q + 4 Let r(b) = 29*b**2. Let t(h) = 231*h**2. Give t(r(m)). 194271*m**4 Let g(b) = 4*b**2. Let r(i) = 6*i. Let z be r(-2). Let q(t) = 4*t**2 + 12*t. Let h(w) = w**2 + w. Let y(m) = z*h(m) + q(m). What is g(y(u))? 256*u**4 Let h(k) = 2*k**2. Suppose -2*p = 4*x + 4, -5*p + 2*p = x - 9. Let s(u) = 4*u + 0*u - 4*u - p*u. Determine s(h(y)). -8*y**2 Let c(h) = h. Let t = -1 - -4. Suppose t*p + k = 4*k + 9, 4*p - 5*k = 13. Let l(b) = 14 + 3*b**p - 14. What is l(c(q))? 3*q**2 Let i(k) = k. Let y(g) = g**2 + 11260*g. Calculate y(i(o)). o**2 + 11260*o Let w(d) = 8*d. Let y(l) be the first derivative of -29*l**3/3 + l + 453. Give w(y(g)). -232*g**2 + 8 Let a = -432 - -432. Let s(t) be the second derivative of a + 0*t**2 + 0*t**3 - 3*t + 1/2*t**4. Let y(f) = -3*f**2. Give y(s(x)). -108*x**4 Let t(h) = 2*h. Suppose -3*u = -u. Let x(d) = 2*d + 0 + 6*d + u. Calculate t(x(a)). 16*a Let i(b) = -82*b. Let n(k) = 3053*k**2 + 3*k - 1. Determine i(n(t)). -250346*t**2 - 246*t + 82 Let g(w) = -13*w - 2. Let d(i) = -27*i - 5. Let m = 4 - 2. Let r(t) = m*d(t) - 5*g(t). Let k(c) = -c. Determine k(r(x)). -11*x Let l(j) = -6*j + 3. Let h be l(-2). Let f(z) = -23*z + 9*z + h*z. Let s(k) = 3*k. Give s(f(v)). 3*v Let l(s) = 2*s. Let j(x) = 7*x + 5. Let p(u) be the third derivative of u**4/8 + u**3/3 + 11*u**2. Let i(d) = -6*j(d) + 15*p(d). Calculate i(l(y)). 6*y Let u(k) = -2*k**2 - 3. Let h(f) = -f**2 - 1. Let g be (-2)/(-4)*(2 - 8). Let q be 6/6 - (-1 + 1). Let r(s) = g*h(s) + q*u(s). Let t(o) = -2*o**2. Give t(r(c)). -2*c**4 Let b(m) = -57*m. Let g(h) = 2344*h**2. Determine g(b(k)). 7615656*k**2 Let y(n) = -530*n**2. Let r(x) = -56*x**2 + 1. Determine r(y(m)). -15730400*m**4 + 1 Let p(t) = 2*t**2 + 5*t - 5. Let d(c) = -c**2 - 2*c + 2. Let a(i) = 10*d(i) + 4*p(i). Let q(m) = 11*m**2 + 2*m. Calculate q(a(g)). 44*g**4 - 4*g**2 Let r(w) = 4*w**2. Let a(z) be the first derivative of 0*z + 6 + 1/2*z**2. Determine a(r(x)). 4*x**2 Let y(d) = -6*d - 9*d - 7*d + 22*d - d. Let m(z) = 50*z. Give m(y(x)). -50*x Let p(x) = -13*x + 2. Let r(i) = -i**2 + 2*i + 1. Let b(y) = -4*y**2 + 12*y + 6. Let d(s) = b(s) - 6*r(s). Give d(p(m)). 338*m**2 - 104*m + 8 Let h(k) be the first derivative of -2*k**2 + 14. Let q(c) be the second derivative of -13*c + 0*c**2 + 0 - 1/2*c**3. What is q(h(t))? 12*t Let u(j) = -4*j**2 + 448*j. Let s(w) = -3*w. Give s(u(z)). 12*z**2 - 1344*z Let v(w) = 13*w**2. Let o(z) = 3*z - 3. Let r(u) = 1. Let h(p) = 2*o(p) + 6*r(p). What is h(v(m))? 78*m**2 Let p(d) = 3*d**2 - 12*d. Let l(v) = v**2 - 3*v. Let h(m) = -4*l(m) + p(m). Let s(y) be the second derivative of -7*y**4/12 + 3*y. What is h(s(i))? -49*i**4 Let o(u) = 2*u**3 - 3*u**2 - u + 3. Let g be o(3). Suppose -4*w - 4*p = -80, -p - 68 - g = -4*w. Let h(z) = -23 - 2*z**2 + w. Let s(k) = 2*k. Calculate s(h(l)). -4*l**2 Let g(c) = 2*c**2. Let f(m) = 694*m - 5. Let h(o) = 192585*o - 1388. Let d(y) = 1388*f(y) - 5*h(y). Give d(g(i)). 694*i**2 Let x(s) = -1554*s. Let i(j) = -3*j**2. What is i(x(b))? -7244748*b**2 Let t(g) = -4*g + 14. Let k(w) = 399*w. What is t(k(v))? -1596*v + 14 Let s(w) = 7*w**2. Let j be (102/119)/((-4)/(-14)). Let p(m) = j*m - m + m + m. Determine s(p(n)). 112*n**2 Let b(d) = 3586*d + 0 - 3587*d - 5 + 5. Let k(n) = 25*n + 3. Let v(h) = 51*h + 7. Let z(p) = 7*k(p) - 3*v(p). Determine z(b(f)). -22*f Let f(j) = 128777*j - 4. Let r(d) = -2*d. Determine r(f(v)). -257554*v + 8 Let q(x) = 15*x**2. Let u(w) = -5211*w**2. Give q(u(s)). 407317815*s**4 Let y(w) = 7*w. Let u(a) = -2*a + 3. Let k be u(-6). Let t = 17 - k. Let r(f) = 0*f**2 + 4*f**t - 6*f**2 + 0*f**2. Determine y(r(q)). -14*q**2 Let k(c) = -7*c - 5. Let d(h) = 3*h + 2. Let j(w) = -15*d(w) - 6*k(w). Let s(i) = 2*i - 1. Let p(o) = -33*o + 11. Let f(z) = p(z) + 11*s(z). Determine f(j(b)). 33*b Let o(n) = -44*n**2. Let y(t) = 932*t**2. Calculate y(o(j)). 1804352*j**4 Let z(f) = 17 - 43 + 10 - 280*f + 16. Let h(p) = p**2. Calculate h(z(u)). 78400*u**2 Let z(a) be the first derivative of -4*a**3 + a**2 + 121. Let t(l) = -4*l**2. Give z(t(g)). -192*g**4 - 8*g**2 Let b(c) = c - 29. Let m(r) be the third derivative of -r**4/24 + 501*r**2. Calculate m(b(n)). -n + 29 Let q(y) = 12*y - 2. Let u(n) = 2*n - 63. Let r(k) = k - 27. Let g(s) = -7*r(s) + 3*u(s). Determine q(g(b)). -12*b - 2 Let p(g) be the third derivative of g**5/60 + 3*g**2 + 16. Let w(v) = 15*v. What is w(p(f))? 15*f**2 Let u(g) = 7*g. Let k(t) = t**2 - 1624. Give k(u(b)). 49*b**2 - 1624 Let n(l) be the second derivative of -l**4/4 + l - 54. Let w(q) = -5*q. Determine w(n(v)). 15*v**2 Let m(w) be the second derivative of 0*w**2 - 1/2*w**4 + 0*w**3 - w + 0. Let x(f) = 22*f - 240. Let k(q) = 4*q - 45. Let a(p) = 16*k(p) - 3*x(p). Give a(m(n)). 12*n**2 Let w(i) = 7*i. Let x(q) = -2*q**2 + 9*q - 2. Let y be x(4). Let h(n) = -4*n**2 + 5 - 5 + 3*n**y. Give h(w(f)). -49*f**2 Let b(a) = -a. Let p(r) = 1. Let g(l) be the third derivative of -l**4/12 + 7*l**3/3 - 4*l**2. Let t(n) = -2*g(n) + 28*p(n). Determine t(b(i)). -4*i Let i be -13 - -14 - 16/(-1). Let u(o) = 14*o - 18*o - i*o. Let d(v) = 3*v**2. Determine d(u(g)). 1323*g**2 Let h(b) = 2173*b**2. Let s(m) = -30*m**2. Determine h(s(r)). 1955700*r**4 Let q(r) be the second derivative of -7*r**3/3 + 2*r. Let z(j) = -575 + 575 - 3*j + 2*j. Determine z(q(p)). 14*p Let q(o) = -5*o. Let s(f) = -8*f**2 - 4*f - 8. Let u(r) = -r - 2. Let d(m) = 2*s(m) - 8*u(m). What is d(q(n))? -400*n**2 Let w(q) be the second derivative of -q**3/2 - 94*q - 2. Let i(f) = -32*f. Determine i(w(l)). 96*l Let l(n) = -5*n + 308. Let x(b) = 7*b. Give l(x(s)). -35*s + 308 Let x(z) = 6*z + 7. Let i(a) = 5*a + 6. Let h(n) = 7*i(n) - 6*x(n). Let b(m) be the first derivative of -29*m**2/2 - 2086. Determine h(b(r)). 29*r Let o(d) = -d. Let a(s) = s + 346793. What is o(a(c))? -c - 346793 Let x(l) = 13*l - 3. Let t(n) = 16*n - 3. Let b(c) = -5*t(c) + 6*x(c). Let u(q) = -q. Determine b(u(i)). 2*i - 3 Let v(g) = 13*g. Suppose 0*m = -3*m + 567. Let l(r) = -189 + m + r. Give v(l(j)). 13*j Let v(k) be the second derivative of -k**5/15 - k**3/2 + 22*k. Let o(i) be the second derivative of v(i). Let w(q) = -7 + 7 - 3*q. Calculate o(w(r)). 24*r Let x(y) = -2*y. Let m(w) = 33*w - 2. Let g(h) = -230*h + 15. Let p(k) = 2*g(k) + 15*m(k). Give x(p(b)). -70*b Let m(u) = 267*u**2 - 120*u**2 - 168*u**2. Let r(b) = 20*b**2. Determine r(m(x)). 8820*x**4 Let n(c) = -12*c**2 + 14*c**2 + 3*c**2 - 7*c**2 - c**2. Let h(v) = 84*v. What is n(h(r))? -21168*r**2 Let q be 0/(-2)*2/(-4). Let z(f) = 1 + q*f + 3*f - 1. Let r(c) be the first derivative of 3*c**2/2 + 3. Calculate r(z(u)). 9*u Let m(d) = 3*d. Let s(v) = 183*v - 183*v - 18*v**2. What is s(m(p))? -162*p**2 Let g(d) = -49*d. Let q(u) = 1. Let s(h) = -h + 1. Let c(n) = -2*q(n) + 2*s(n). Let v(a) = 2*a. Let o(x) = -4*c(x) - 5*v(x). What is g(o(y))? 98*y Let n(v) = 5*v**2 + 3*v - 9. Let p(f) = 6*f**2 + 2*f - 6. Let t(c) = -4*n(c) + 6*p(c). Let q(h) = 25*h. Calculate q(t(a)). 400*a**2 Let b(r) = 783*r - 783*r - 12*r**2. Let n(f) = -15*f. Give n(b(g)). 180*g**2 Let p(y) = y. Let s(a) be the third derivative of 45*a**4/4 - 251*a**2. Calculate s(p(b)). 270*b Let n(q) = -9623*q. Let m(x) = -3*x. What is m(n(b))? 28869*b Let n(y) = 8*y. Let s(c) be the second derivative of c**3/6 + 8*c - 8. Determine s(n(w)). 8*w Let j(t) = -3*t + 4. Let f(l) = 10*l - 11. Let v(s) = 4*f(s) + 11*j(s). Let r(g) = 32*g**2 + 2*g*
{ "pile_set_name": "DM Mathematics" }
-9? 4 What is the third biggest value in 5, 2/17, -2/18505? -2/18505 What is the fifth biggest value in -0.5, -70, 0.035, -3, 2/7? -70 Which is the fourth biggest value? (a) 3/11 (b) -2/39 (c) 1.43 (d) 4 b What is the fifth smallest value in -4, -3/4, -5, 247, -1, 5? 5 Which is the biggest value? (a) -1 (b) 13 (c) 2/179 b What is the second biggest value in -2/9, -3, -768/11? -3 What is the third smallest value in -4, 559, 0, -4/7, 4, 5? 0 What is the third biggest value in -8/5, -14/5, 21/52, -5, 2? -8/5 What is the second biggest value in 0.5, 4, -0.191, 3, -4, 2/5? 3 Which is the third biggest value? (a) 0.057 (b) -0.1 (c) -3.1 (d) -0.4 d Which is the second smallest value? (a) 2/5 (b) -2 (c) -77 (d) -5 (e) -25 e What is the smallest value in -2386, 1, -2/9, -5? -2386 What is the second smallest value in 0.4, -0.5, -88? -0.5 Which is the smallest value? (a) -1 (b) -0.4 (c) -1/515 (d) 4 (e) 1 a Which is the smallest value? (a) -1/38 (b) 4 (c) -22 c Which is the second smallest value? (a) 3/7 (b) -1/24 (c) 26 (d) 4 a Which is the second smallest value? (a) -2/9 (b) 1 (c) -304 (d) -0.4 (e) -0.5 (f) 0 e What is the fourth biggest value in -0.1, 3/5, 0.1, -0.4, 2/13, 1.8? 0.1 What is the fourth biggest value in -0.1, 8881, -0.4, 0.8? -0.4 Which is the third biggest value? (a) 25 (b) 5 (c) 345 b Which is the third biggest value? (a) 1/2 (b) 2.2 (c) 1/9 (d) -61 (e) -0.2 c Which is the smallest value? (a) -3 (b) -30055 (c) -6 b What is the biggest value in 4, 2/11, -76, 0.03? 4 Which is the biggest value? (a) 3 (b) 4 (c) 2/5 (d) -1 (e) -1/52 (f) 2/15 b Which is the fifth biggest value? (a) -3 (b) 3 (c) 0.3 (d) -0.36 (e) -127 e Which is the fifth biggest value? (a) -8/17 (b) 6 (c) 12 (d) 1/3 (e) 0.4 a What is the fourth biggest value in 5/4, 0.2, 2, -2/17, -51? -2/17 What is the third biggest value in 5, -2/3, 0.3, 0.134? 0.134 What is the third smallest value in 1/2, 0.3, -39, -2/155? 0.3 What is the smallest value in 5, 0, 933373? 0 What is the fifth biggest value in -0.07, -0.3, -1/6, 1/3, -2/71? -0.3 Which is the fifth smallest value? (a) -0.4 (b) 0.4 (c) 3/4 (d) -0.01 (e) 0.077 c What is the third smallest value in -37, -15, 4? 4 What is the third biggest value in -2/3, 0.056, -9, 2? -2/3 Which is the second smallest value? (a) -1/54 (b) 1139 (c) 0.02 c Which is the fifth smallest value? (a) -4 (b) 4/7 (c) -1/4 (d) -2 (e) -11 (f) -0.1 f What is the fifth smallest value in -0.1, 0.6, -1, 0.3, 3/457? 0.6 What is the second biggest value in 0.16, 3312, 0.3? 0.3 Which is the second smallest value? (a) 4/15 (b) -0.7 (c) 4/7 (d) 2/9 d Which is the fourth smallest value? (a) 22/3 (b) 3 (c) 1 (d) -0.36 a What is the second biggest value in -3, -6, -4, 415? -3 Which is the biggest value? (a) -1/7 (b) -2 (c) 2/3 (d) -154 (e) -1 (f) -2/3 c Which is the smallest value? (a) -1 (b) -4 (c) -6 (d) 0.14 (e) 2/11 (f) 21 c Which is the fifth biggest value? (a) 17 (b) 3/5 (c) 2/11 (d) -6 (e) 7 d Which is the biggest value? (a) 20 (b) -95 (c) 607 c Which is the second smallest value? (a) 0.207 (b) -4 (c) -2/1011 c What is the fourth biggest value in -2/689, 3, 1, -1/3, -16.1? -1/3 What is the second smallest value in 43, -6, -399? -6 What is the smallest value in 1/3, -2, 0, -22.046? -22.046 Which is the fourth smallest value? (a) -0.24 (b) 0.2 (c) -14 (d) -0.2 (e) 5/2 b What is the fifth biggest value in -5, -38, -2/13, -1/5, -0.797? -38 Which is the fourth smallest value? (a) 15 (b) 4/7 (c) 0.2 (d) -1729 (e) -4 (f) 4 b What is the second biggest value in 1, -0.2, 0.2, -7711? 0.2 What is the third biggest value in -2/319, 5, -10? -10 What is the third biggest value in 9, 2998, 2/7, 5? 5 What is the third biggest value in 2, 0.3, 34.26? 0.3 What is the fifth smallest value in 6, 2, 2/231, 7, 0.5? 7 Which is the second smallest value? (a) 39 (b) -32 (c) -9 c Which is the second smallest value? (a) -0.087 (b) -70.55 (c) 1/6 a Which is the third smallest value? (a) -2/9 (b) -0.08 (c) 1 (d) -0.11 (e) 0.1 (f) 2/3 b Which is the smallest value? (a) 3 (b) -5 (c) 1 (d) -5.873 d What is the third biggest value in -6953, 0, 5, 1/9? 0 Which is the third biggest value? (a) 5/2 (b) 164.72 (c) -5 (d) 0.5 (e) 3 a What is the third biggest value in -50/3, 3, 2/19, -19? -50/3 What is the fourth smallest value in 4, 6, 0.64, -20/9? 6 What is the third smallest value in 0.2, -0.042, 36, -27? 0.2 What is the third smallest value in 4/5, 3/7, 2/5, -379, -2/11, 10? 2/5 What is the third smallest value in 50, -0.4, 56.4? 56.4 Which is the biggest value? (a) 0.2278 (b) -5 (c) 13/5 (d) 3 d Which is the sixth smallest value? (a) 81 (b) -3 (c) 4 (d) 0.3 (e) -5 (f) 0.27 a Which is the fifth smallest value? (a) -1/7 (b) -245 (c) 5 (d) -3 (e) 1 (f) -2 e What is the third smallest value in 2/21, -38531, 5? 5 What is the second biggest value in 0.5, 5, -48/4375? 0.5 Which is the fourth biggest value? (a) -56 (b) -1 (c) -5 (d) -2/1331 (e) -3/2 c Which is the second biggest value? (a) 0.4 (b) -6 (c) 649.37 a Which is the second smallest value? (a) 2/3 (b) -21 (c) 70/9 (d) -3 (e) 0.2 d Which is the smallest value? (a) -22/9 (b) 1/5 (c) -4 (d) 4 (e) -2/11 (f) -3 c What is the biggest value in 0.1, -3, -75156, 0.3? 0.3 Which is the fourth smallest value? (a) 0.1 (b) -2 (c) 9 (d) 28648 d Which is the smallest value? (a) -0.17 (b) 10 (c) 19 a Which is the second smallest value? (a) 0.1 (b) 11/76 (c) -12 a Which is the third smallest value? (a) -3 (b) -2/91 (c) -1 (d) 4 b What is the smallest value in 23, -2/3, -1/6, 14, 2/7? -2/3 What is the third smallest value in -2/3, 0, 19/242? 19/242 Which is the fifth smallest value? (a) 3 (b) -0.18 (c) 0.3 (d) -3/2 (e) -1/6 (f) 27 a Which is the third smallest value? (a) 3 (b) 8 (c) -0.19 (d) -32 (e) 0.1 e Which is the second smallest value? (a) -0.23022 (b) -3/5 (c) 2 (d) 0.2 a Which is the third biggest value? (a) 164.5 (b) 3 (c) -1 c Which is the biggest value? (a) 97 (b) -778 (c) 1/9 a What is the fifth biggest value in -2, -6/11, -0.1, -0.025, -0.2? -2 Which is the third smallest value? (a) 0.06 (b) -0.01 (c) 0.9 (d) -1/557 a What is the third smallest value in 5010, 1/3, 2? 5010 What is the second biggest value in -7, -8, -2/17, 109/3? -2/17 Which is the fifth biggest value? (a) 5 (b) 0.02 (c) -17 (d) 0.5 (e) -4 (f) 4 e What is the biggest value in -5, 1/1519, 2/19? 2/19 Which is the biggest value? (a) -249083 (b) 2/3 (c) 0.4 b Which is the biggest value? (a) -1215 (b) -9/4 (c) -1/3 (d) -12 c Which is the third smallest value? (a) 4 (b) 4.6 (c) -2 (d) -5/4 (e) 13/4 e Which is the fourth smallest value? (a) 2/7 (b) -0.07 (c) -3 (d) 103 d Which is the biggest value? (a) -0.07 (b) 3870 (c) 23 b Which is the third biggest value? (a) 12 (b) -0.09 (c) 3 (d) -4 (e) 1/6 (f) 4 c Which is the smallest value? (a) 21055 (b) 2/19 (c) 4 b What is the smallest value in -3458, 1, 1/3, -5, 0.5, 2/13? -3458 Which is the third smallest value? (a) -0.4 (b) 2/5 (c) -0.84 (d) 39 (e) 0.5 b Which is the third smallest value? (a) -0.052 (b) 3987 (c) 2 (d) 4 d What is the biggest value in -1.5, 2.194, 0.2, 3/2? 2.194 Which is the second biggest value? (a) 0 (b) 9 (c) 11/32 (d) -2 c Which is the fourth biggest value? (a) -1/4 (b) -0.54 (c) 0.2 (d) 4 (e) 9 a Which is the third smallest value? (a) -2 (b) -4/9 (c) -0.35 (d) 0.1 (e) -18 (f) -0.4 b Which is the biggest value? (a) -37 (b) -15/67 (c) -3 (d) 0.2 (e) 5 e Which is the sixth biggest value? (a) -3 (b) 1 (c) -1.83 (d) 8 (e) 0.08 (f) 2/15 a What is the smallest value in 0.2, 1/8, 3/31, 3, -0.3? -0.3 Which is the smallest value? (a) -710 (b) 5 (c) -0.1 (d) 9 a What is the smallest value in 0.3, 2/21, -2/11, 20, -2/45, 4? -2/11 Which is the third biggest value? (a) 4 (b) -947/3 (c) 2 (d) -2/3 d What is the third smallest value in -122/3, -2.06, -3/8, -5/13? -5/13 Which is the third biggest value? (a) 0 (b) 2 (c) -522 (d) -0.5 (e) -4 d Which is the third smallest value? (a) -1738 (b) 11 (c) -1/4 b What is the fourth biggest value in 0.0
{ "pile_set_name": "DM Mathematics" }
6 - 6. Suppose s*q - 24 = -4*q. List the prime factors of q. 2, 3 Let j(u) = 4*u**2 - u + 1. Suppose -10 = -5*i - 0. Suppose 6*m = 4*m + i. List the prime factors of j(m). 2 Suppose 2*s - 22 = 5*c - 0*s, -2*c - 2*s - 20 = 0. Let n(z) = z**3 + 5*z**2 - 7*z - 3. What are the prime factors of n(c)? 3 Let y = -5 - -7. Let j be (0 - -1) + (y - 1). What are the prime factors of ((-4)/6)/(j/(-45))? 3, 5 Let a(n) = -3*n + 9 + n**2 - 4 - 2*n**2. Let f be a(-5). Let y = 3 - f. List the prime factors of y. 2 Suppose -18 = -4*c - 5*k, c - 2*k = k - 4. Suppose -13 = -p - c. What are the prime factors of p? 11 Let b = 3 - 5. Let u(a) = -8*a - 3. List the prime factors of u(b). 13 Let b(d) = d**2 + 8*d + 4. Let w be b(-6). List the prime factors of -66*(-2)/w*-2. 3, 11 Let d(t) = 4*t**2 - t - 2. Let l be 2/7 + (-8)/28. Suppose 3*n + 4*x - 22 = l, -11 = -n - 5*x + 11. List the prime factors of d(n). 2, 3 Let p be (-19)/(-2) + 36/(-24). What are the prime factors of (-1)/(-2)*(p - -4)? 2, 3 Let p(n) = -n**3 + 5*n**2 + 8*n + 2. Let q(k) = k**3 - k + 3. Let b be q(0). Suppose -12 = -5*c + b*c. List the prime factors of p(c). 2, 7 Suppose 2*p - 3*n + 2*n = 557, 1120 = 4*p + 4*n. What are the prime factors of p? 3, 31 Let s = -4 - -15. Let r be s + 1/2*-6. Let t = 3 + r. List the prime factors of t. 11 Let z = 131 - 86. List the prime factors of z. 3, 5 Let d = 9 + -15. Let j = 21 + d. What are the prime factors of j? 3, 5 Let o = 17 - 12. List the prime factors of o. 5 What are the prime factors of 10/6 + (-1)/(-3)? 2 Suppose -3*x - 4*i + 16 = 0, x + 5*i = 4*x - 7. Suppose -3*c + s = 2*s - 7, 0 = 3*c + 3*s - 3. Suppose x*q = c + 29. List the prime factors of q. 2 Let f = 23 + 4. Suppose 12*s - 20 = 7*s. Suppose -f = y - s*y. List the prime factors of y. 3 Let c(j) = 7*j**2 - 7*j - 1. Let k(m) = -m**2 + m. Let g(q) = c(q) + 6*k(q). List the prime factors of g(3). 5 Suppose 7*p + 30 = 8*p. What are the prime factors of p? 2, 3, 5 Let l = -11 - -14. Suppose -3*z + 6 = l*p, -2*p - 3*z = -6 + 4. List the prime factors of p. 2 Let f = -1 + 8. Suppose 4*g = -f + 3. Let v = 9 + g. What are the prime factors of v? 2 Let a = -4 + 4. Let y(d) = d**3 + d - 2. Let x be y(a). What are the prime factors of 6/(5 + x)*6? 2, 3 Let r = 45 + 28. What are the prime factors of r/4 + (-7)/28? 2, 3 Let i = 156 + -64. List the prime factors of i. 2, 23 Suppose 3*j + 0 - 12 = 0, -2*j - 48 = -u. What are the prime factors of u? 2, 7 Suppose -5*i + 49 = -o, 0 = 4*i - o + 2*o - 32. List the prime factors of i. 3 Let l(x) = x**3 - 7*x**2 + x - 3. Let s be l(7). List the prime factors of (s/(-5))/((-6)/45). 2, 3 Let g(t) = 4*t - 1. Let u be g(-1). Let a = 17 + u. List the prime factors of a. 2, 3 Let m(p) = p**2 - 9*p - 3. List the prime factors of m(10). 7 Let f = 2 + 4. Suppose -4*x + 9 = 2*y - 9, -y - 5*x + f = 0. List the prime factors of y. 11 Let d(u) = 2*u**2 + 5*u - 19. List the prime factors of d(6). 83 Let d(m) = m**2 + 14*m + 15. What are the prime factors of d(-16)? 47 Let k = 12 - 10. Suppose 2 = -j + 3*j - k*v, 3*j - 8 = -2*v. List the prime factors of (-15 + j - 0)/(-1). 13 Suppose -5*k + 5*y = -105, 5*y + 0 + 85 = 4*k. Let g = k - 16. What are the prime factors of g? 2 Suppose -f = -l - 6, -5*l - 27 = -4*f - 0*f. Let o = l - -5. Suppose -o*h = -2*a + 12, -h - 26 = -5*a - 4. List the prime factors of a. 2 Suppose -4*j + 2*b = -2*j - 18, 3*b + 14 = 2*j. Let z(v) = v**2 - 14*v + 16. List the prime factors of z(j). 3 Let j(m) = m**2 + 1. Let z be j(-2). Suppose -z*k = -k - 8. Suppose 2*l + 19 = k*i + 5*l, -4*i + 88 = -4*l. List the prime factors of i. 17 Let i be -1 + 2*(-6)/(-4). Suppose -16 - 6 = -i*d. What are the prime factors of d? 11 Let n be 6/6*(-73)/(-1). Let t = n + -46. What are the prime factors of t? 3 Suppose -2*x = 3*g - 748, -3*x = -3*g - g + 969. List the prime factors of g. 2, 3, 41 Suppose 5*d - 2*x = -13, 5*d - x = -17 + 3. Let m = d - -8. What are the prime factors of m? 5 Suppose f + 0*f = 2. What are the prime factors of -1 - f*5*-2? 19 Suppose -6 = -q - 2*k, 4*q + 4*k = 5*k - 3. Suppose q*x = -3*x. Suppose 4*u - l - 14 = x, 5*u = u + 5*l + 22. List the prime factors of u. 3 Let y(u) = 0*u - 4*u + 4 + 5 + 3*u. Let o be y(9). Suppose q = 5*q + j - 60, o = 3*q + 5*j - 45. List the prime factors of q. 3, 5 Let h = 5 + -3. Suppose 9*o = 4*o - h*i - 71, 5*o = -3*i - 69. List the prime factors of (6/9)/((-1)/o). 2, 5 Suppose -35 = -n + 2*k, 3*n + 4*k = 102 + 43. What are the prime factors of n? 43 Suppose -o = o + a - 15, 0 = -4*o + 5*a - 5. Suppose 3*q - o*q = -32. What are the prime factors of q? 2 Let q(a) = -2*a**2 + 24*a + 9. What are the prime factors of q(10)? 7 Let n(r) = r**2 - r + 14. Let c be -2 - (-3)/((-9)/(-6)). What are the prime factors of n(c)? 2, 7 Let y = -24 - -60. List the prime factors of y. 2, 3 Suppose -28 = -3*s - 2*u, 2*s = 2*u - 1 + 3. Let k(m) = 3*m - 7. List the prime factors of k(s). 11 Let y(g) = 3*g - 9. Let n(v) = 1. Let w(q) = 5*n(q) + y(q). Let u be w(3). Suppose -3*c = 2*c + 5*m - 50, 0 = -u*c - 2*m + 35. List the prime factors of c. 5 Let z(c) be the second derivative of c**4/12 - c**3/6 + 5*c**2/2 - 5*c. List the prime factors of z(-6). 47 Suppose -102 = -3*d + 3*t, -5*d + 0*t + 194 = t. What are the prime factors of d? 2, 19 Let v(c) be the second derivative of -c**5/20 + 3*c**4/4 + 3*c**3/2 + 7*c**2 + 2*c. What are the prime factors of v(10)? 2 Let h = -21 + 36. Suppose 5*f - 75 = -h. Suppose -5*d - c + f = -3*d, -3*d - c + 20 = 0. What are the prime factors of d? 2 Let h(p) = p**3 - 12*p**2 + 2*p - 14. Let y be h(12). Let l = y + 0. Suppose -6*q = -q - l. List the prime factors of q. 2 Let v(n) = -n + 8*n**2 - n - 2 + 3. What are the prime factors of v(1)? 7 Let l(v) = -v**3 + 4*v**2 - 3*v + 4. Let h be l(3). Suppose h*x - 132 = -0*x. Suppose -2*u - 5*z = -x, 7*u - 2*u + 3*z - 54 = 0. List the prime factors of u. 3 Suppose 0*r = r - 26. Suppose -m + 0 = -2, -2*f + r = 5*m. List the prime factors of f. 2 Let m be (-1 + -1)*(-125)/10. Suppose -2*y = -3*q + m, 5*y = -4*q + 19 - 1. List the prime factors of q. 7 Let t(u) = u + 3*u**3 - 1 - 5*u + 3 + 1 + 2*u**2. List the prime factors of t(2). 3 Let o = 448 - 223. What are the prime factors of o? 3, 5 Let u(o) = -o**3 - 11*o**2 - 11*o - 7. Let c be u(-10). Suppose 0 = 3*v - 6, c*d - 3*v + v = 47. What are the prime factors of d? 17 Let y(z) = 6*z - 5. Let i be y(6). Let n be (4/(-3))/((-2)/(-18)). List the prime factors of i/4 - 3/n. 2 What are the prime factors of (-9584)/(-64) - 2/(-8)? 2, 3, 5 Suppose 3*h + 0*h - 9 = 0. Suppose -h*a + 10 = 2*a - 5*p, 4*p = 5*a - 10. What are the prime factors of (a - 57/12)*-4? 11 What are the prime factors of 1/(-5*5/(-3425))? 137 Suppose -14 = -3*c - 4*f, -2*c = -0*f + 2*f - 8. Suppose -c*v + 50 = 3*v. Suppose 0 = -4*o + 2*j + 28, -v = -3*o - 7*j + 3*j. List the prime factors of o. 2, 3 Let f = -25 + 41. Let l = 23 - f. List the prime factors of l. 7 Let s(o) = 1 - 1 + 1 - 6*o + 3*o. List the prime factors of s(-7). 2, 11 Let l be -1*(-4)/8*-36. Let i = l + 35. What are the prime factors of i? 17 Let r(x) = -2*x + 14. Suppose 0*m + m + 2 = 2*s, 0 = -m + 5*s + 4. List the prime factors of r(m). 2, 13 Let p(g) = -g**3 + 7*g**2 + 4*g - 2. What are the prime factors of p(7)? 2, 13 Let n be ((-1 + -1)*-4)/1. Suppose n = 5*v - v. What are the prime factors of (3 - v) + (7 - -1)? 3 Let y = 11 - 18. Let v be (1 - -1 - 1) + 2. Let t = v - y. What are the prime factors of t? 2, 5 Let h be (-4)/(-22) + (-404)/44. Let j(t) = t**2 + 9*t + 10. What are the prime factors of j(h)? 2, 5 Suppose -6*w + w + 20 = 0. Suppose -l - w*x + 31 = 0, 4*l - 3*x = -l + 40. Let r = l + -4. What are the prime factors of r? 7 Suppose -4*u = -3*u + 2. Let a = -3 + u. What are the prime factors of a/2*144/(-45)? 2 Suppose 0 = -151*t + 148*t + 1023. List the prime factors of t. 11, 31 Let f(l) = 2*l**3 - 3*l**2 - 3*l + 2. Suppose 2*o - 5*m - 41 = 0, -3*o + 4*m + 49 = -m. Let q = o + -5. What are the prime factors of f(q)? 2, 5 Let s(v) = -v**3 + 20*v**2 + 4*v + 4. What are the prime factors of s(20)? 2, 3, 7 Let a be (21/6)/((-1)/(-2)). Let v = a - -1. What are the prime factors of v? 2 Let p(i) = -i**2 + 7*i - 1. Let a be p(6). Suppose -a*z - 2*k = -0*z - 4, -5*z - 5*k -
{ "pile_set_name": "DM Mathematics" }
d. Let h be v(4). Let q(n) = -n**2 - 9*n - 6. Let g be q(h). Is g bigger than s? True Suppose 5*c - 4*i = -3*i + 12, -5*i = -5*c. Let u be ((-40)/(-12))/5*-6. Let m(d) = d**2 + 3*d. Let f be m(u). Do f and c have different values? True Let l be 1/(-2 + 2 - -1). Suppose -g - 2034 + 2035 = 0. Is l equal to g? True Let z(h) = -5*h**3 + h. Let c be z(-1). Suppose -26 = c*r + 5*x, -3*r = 2*x + 9 + 14. Let g = r - -9. Which is smaller: g or -2? -2 Suppose 0 = -h + 46 + 134. Which is greater: -1 or h? h Let j(q) = q - 5. Let f be j(9). Let s be 1208/12*3/f. Let l = s + -74. Is l > 0.1? True Let c(t) = t**2 + 41*t - 532. Let q be c(-51). Which is smaller: 3 or q? q Let r be (-68)/(-2)*1/2. Suppose 228 = -420*a + 432*a. Which is greater: a or r? a Suppose -6*t = -3*t + 27. Let c = 6 + t. Let p be (1/c)/(9/27). Which is smaller: 2/33 or p? p Let x = -0.2563 + 27.4363. Let m = x + -27. Let v = m - 1.18. Which is bigger: 2/5 or v? 2/5 Let h be (1 - -11) + -7 - 344/68. Is 2.2 at most h? False Suppose -4*m - 5*y - 34 = 0, -5*m = -4*y - y + 65. Is 0 <= m? False Let x(b) be the second derivative of 5*b**3/3 + 13*b**2 + 11*b. Let w be x(6). Let v = -2665/31 + w. Which is smaller: v or 1? v Let z = 3.45 - 1.95. Are z and 1/6 unequal? True Let i = 102 + -103. Let p = -0.7 + 0.4. Is p equal to i? False Suppose f - 6 = 3*f. Suppose -5*g = -g + 8. Let l be (g/f)/((-32)/12). Are l and 0.6 unequal? True Let i be (-1)/((-3)/(-18)*(-4)/(-18)). Let v = 27 + i. Which is smaller: v or 2/57? v Let g = 331 + -109. Is g < 222? False Let i = -0.25 + 0.35. Let f = -425 + 239. Let u = f + 3908/21. Which is bigger: u or i? i Let h = 13 + -18. Let i(x) = x**3 - 6*x**2 - 5. Let t be (-1)/6*-3*12. Let g be i(t). Is h at least g? True Let s be -1*(3 + -2)*2. Let i be 2/s - (-12)/(-2). Let r be i/3 + 5/15. Is -2 equal to r? True Let l = -9.17 - -57.07. Let i = 9.1 + l. Which is smaller: -0.2 or i? -0.2 Let j = 62 + 105. Let w = -162.76 + j. Let r = w - 0.24. Is 3 at least as big as r? False Suppose -w + 146 = -v - 157, w + 897 = -3*v. Is v bigger than -299? False Let r = -76 + 53. Let m = r - -5. Let d = -19 - m. Is -2/67 at least d? True Let f(d) = -2*d**2 - 15*d + 30. Let o(n) = n**2 + 7*n - 15. Let c(x) = 3*f(x) + 5*o(x). Let h be c(-11). Suppose 2*s = 2 + h. Are 3 and s equal? True Let q be 2 + (-6 - (-3 - 1)). Suppose q = -123*w + 124*w + 2. Is -4 at most w? True Let n = -21.6 + 0.6. Which is bigger: n or -0.1? -0.1 Suppose 0 = 20*x + 6*x - 1378. Do 380/7 and x have different values? True Let n(w) = 3*w + 18. Let c be n(-10). Let g be ((-2)/12)/(54/c). Which is bigger: g or 2/7? 2/7 Let m be (-34)/6*(-9)/(-3). Let b = -36677/6 - -6096. Let r = m - b. Is r at most as big as 0? True Let b = 553 + -552.98. Which is smaller: b or -23? -23 Suppose -3*c + 3*l = -3, 5*c - 23 + 26 = 3*l. Is c at most -20? False Let i be 19/5 + 3/15. Let v be (-141)/(-12) - (20/(-5))/16. Suppose -v = -i*z + 20. Is z <= 11? True Let g = 63 - 101. Let t = g - -37.8. Is t != -22? True Let f = 30 - -1. Suppose -n = -f + 4. Let y = n - 14. Which is smaller: y or 1? 1 Suppose -4*q + 4*u + 8 = 0, 0 = -5*q + 4*u + 7 + 5. Suppose 0 = 2*o - 4*o - 3*k + 25, q*k - 35 = -3*o. Which is greater: 27/5 or o? 27/5 Let c = 12 + -10. Suppose -2*i + 2*h + 2*h = 0, -c*i = 5*h + 9. Let m be (-5)/i - (-60)/(-40). Which is smaller: m or 2? m Let l = 2 - 1.5. Let v be -5*(4 - (7 - 2)). Let y be (-4 + v)/(1 + 0 + -2). Which is bigger: l or y? l Suppose -2*x - 2*n = 8, 3*n = 2*x + 2*n + 17. Let a be (6/18)/((-2)/12) - 4. Which is smaller: a or x? x Let k = 98 - 70. Let x = k + -28. Is 25 > x? True Let y = -40 - -35.6. Which is smaller: -2 or y? y Let r be (5/(-25))/(24/10). Let o(u) = -u + 10. Let h be o(11). Which is bigger: h or r? r Let x be (4/12)/((-2)/(-42)). Let b(m) = m**3 - 9*m**2 - 2*m + 11. Let o be b(9). Let t = 14 + o. Is t bigger than x? False Suppose -7*c - 45 = -2*c. Let a(p) = -p - 5. Let i = -9 + 13. Let q be a(i). Is q not equal to c? False Let p = -3136/3 - -1046. Let a = 3 + -5. Is a at most as big as p? True Suppose 0 = -n + 5*k + 10, -3*n - 4*k + 3 - 11 = 0. Let t = -49/12 + 5023/1236. Let f = -295/721 + t. Is n less than or equal to f? False Suppose 44 = s + 3*s. Let r = s - 7. Suppose 8 = r*f + 4. Is f at least 4? False Suppose 0 = -3*j - 4*h - 17, -9*j + 4*j + 5*h + 30 = 0. Is -7/79 at least as big as j? False Let b be (2 - 7)/(5/(-2)). Which is bigger: b or -193? b Let n be -2 - (-1 - -1 - 5). Let r be n/(-6)*(-12)/(-285). Is r smaller than 0? True Let o = 37 + -35. Suppose -o*i - 166 = 4*j, -j - 4*j - 201 = -4*i. Is -41 != j? False Let d(j) = -7*j**2 + 7*j - 2. Let n(q) = q**3 + 4*q**2 + q - 1. Let y be n(-2). Let w be d(y). Let v = w - -712/5. Which is greater: v or 0? v Let z be -2*591/24 - 1. Let c = z - -50. Which is smaller: 0 or c? c Let v = 0.8 + -1. Suppose 7 = -t + 5. Is v equal to t? False Let r = -134.29 + 93.28. Let n = 1.01 + r. Is -2/7 >= n? True Let u(w) = -8*w**2 - 58*w - 21. Let i be u(-10). Are -479/2 and i nonequal? True Suppose 4*f - 2084 = 2*t, 5*f = -5*t - 244 + 2849. Is f > 521? False Let b be (6/5)/(2/290). Let l be b/54 - (-4)/(-18). Let a(p) = -p + 7. Let z be a(5). Is l >= z? True Let i = 111 - -42. Let y be i/315 - 2/7. Is -0.03 at least y? False Let s be (-8)/39 - (-4)/6. Let k be (-12 - -3)*4/(-12). Let n be 1/(-5) - (k - 42/10). Is s less than n? True Let a(z) = z**2 - 8*z - 15. Let j be a(10). Suppose 0 = 3*x - b - 163, 5*x - 245 = -0*x - j*b. Which is bigger: 52 or x? x Let h be (-37)/(-70) + 8/80*-5. Is 0 > h? False Suppose 0 = 57*c - 58*c - 1. Which is greater: -30/13 or c? c Let q(z) = z**3 + 7*z**2 + 10*z + 7. Let g be (40/8)/(1*-1). Let w be q(g). Let j(p) = 7*p - 1. Let r be j(1). Is r less than w? True Let d = 5.51 + -2.51. Is d less than or equal to 12? True Let t(q) = -q**3 + q**2 + 9. Let m be t(0). Let b = 40 - m. Let r be 2/7 + b/(-35). Which is bigger: r or -1/6? -1/6 Let u = 164 - 14. Which is greater: 0 or u? u Suppose 26*x = 24*x + 2. Is 1 smaller than x? False Let f = 40 + -52. Let b = -44/5 - f. Which is bigger: b or 2? b Let s = 12 + -10. Let r(t) = 4*t**2 - 2*t. Let d be r(s). Suppose 3*l + d = 0, -m - 2*l = -6*l - 15. Which is bigger: -2 or m? m Suppose -2*u = 4*a - 10, 0 = 3*u - 5*a + 19 - 89. Let o = u - 27. Is -12 less than o? False Let z = -3.15 + 0.15. Let h be ((-1)/3)/(5/3). Is h at least z? True Let f = -11 - -322/29. Let j be (-1)/(-2) - 19/(-38). Which is smaller: j or f? f Let p = -3 + 7. Suppose -18 = -p*t - 2. Let o(m) = -m**2 + 7*m - 4. Let l be o(6). Which is greater: l or t? t Let d(u) = -3*u**3 + 5*u**2 - u - 4. Let t be d(3). Suppose 0 = 5*h + 5*l + 190, -l = 3*h - 6*l + 154. Is t greater than or equal to h? True Suppose -4*x = -f, -4*x = f + 4*f. Which is greater: f or 8/55? 8/55 Let w be 0 + 4/(-2)*-6. Let n be w/(-3)*(-1)/4. Let j = 81/14 + -1201/210. Is j greater than or equal to n? False Let d(g) = 44*g + 619. Let h be d(-16). Is h less than -83? True Let m be (-2 - -1)/((-1)/8). Let p = -4 + m. Is p greater than 2? True Suppose 0 = -3*n + 2 - 5. Suppose 2 = -2*y - 4. Let o be y/6 - 6/(-20). Which is bigger: o or n? o Let z = -39 + 38.67. Let g = 0.209 - -0.221. Let a = z + g. Is -20 smaller than a? True Let b = -270904/91 + 2977. Let r = 131/1547 + b. Let m be 12/(-105)*10/(-4). Is r less than m? True Let b = -12 - -47/4. Let i(v) = v**2 - 7*v - 1. Let r be (15/9 + -2)/(3/(-63)). Let n be i(r). Which is smaller: n or b? n Suppose 0 = 5*p - 3*f - 9, 3*p + 4*f - 11 = 2*p. Let q(c) = -c**2 + 5*c + 9. Let l be q(6). Suppose l*a = -0*a + 6. Is p != a? True Let p = 109.49 + -110. Which is smaller: -1/4 or p? p Suppose -y - 15 = 5*q - 3, 4*y = q - 6. Let j = 26 - q. Suppose -5*z = 3 - j. Is 7 != z? True Let p = -0.5479 + -0.4521. Let n = 0 + -8. Which is smaller: p or n? n Let x = 1034 + -1034.1. Which is smaller: x or -599? -599 Suppose -7*p - 9*p + 112 = 0. Suppose -26 = -4*a - 3*g, 4*a = -5*g + 23 + p. Are 16/3 and a unequal? True Suppose -3*h + 36 = 4*l, 4*h = -l + 5*h + 16. Let z be 2/12 + 4/(24/65). Which is bigger: z or l? l Let i be (5/2)/(6/4). Let w be ((-32)/(-48))/(1/(6/2)). Which is bigger: w or i? w Let g = 1 - 5. Let j(a) = -3*a + 20. Let v be j(8). Let c be g/(-5) + 4 + v. Which is smaller: 0 or c? 0 Let t be ((-7
{ "pile_set_name": "DM Mathematics" }
*3 - 9*n + 6*n - 1 - 3*n**2 - n in the form t*n + y + q*n**2 + d*n**3 and give t. 4 Rearrange 0*p - 3*p + 10*p to l*p + x and give l. 7 Express 4 - i**2 - 4 + (i + 0*i - 3*i)*(0*i - i + 3*i) - 2*i**2 - 3*i**2 + 3*i**2 + (3*i + 2*i - 4*i)*(-2*i + 4*i - i) as k*i**2 + z + t*i and give z. 0 Express (-3*b - 68*b + 9*b)*(0*b + 2*b**2 + 0*b + (-b + 0*b - b)*(b + 0*b + b) - 2*b**2 + b**2 + 2*b**2) in the form p + d*b**2 + a*b + z*b**3 and give z. 62 Express (-c + 3 - 3)*(5*c + 3 - 3)*(-c + c + c) in the form r*c**2 + i*c**3 + m*c + g and give r. 0 Express (0 + 0 - 2*p**2)*(4 - 4 + 4*p**2) + 5*p**3 - 5*p**3 + 7*p**4 in the form b + j*p**3 + u*p**4 + r*p**2 + k*p and give u. -1 Rearrange 4*d - 5*d + 0*d - d + 3*d + 3*d + (-2 + 0 + 4)*(-4*d + 5*d + 0*d) + d + 0 + 0 to q*d + a and give a. 0 Express (-2*v**2 - 10*v**2 - 5*v**2)*(-2 + 3 + 0)*(0 + 1 - 2) in the form r*v + p + a*v**2 and give a. 17 Rearrange -18*t**2 - 7*t - 9*t + 16*t to the form f*t**2 + n*t + x and give x. 0 Rearrange (-2 + 5 - 5)*(-y - 2*y**3 + y) to g + h*y + c*y**3 + d*y**2 and give c. 4 Express (38*t**2 + 22 + 18 - 40*t**2)*(-2*t + 2*t - t) as i + k*t + s*t**3 + p*t**2 and give k. -40 Express -83*i - 95 - 95 + 190 in the form v + y*i and give y. -83 Rearrange -2*h + 3 - 3 + (2*h + 2*h - 5*h)*(-2 + 2 + 2) + 2 - 2 + h to u + q*h and give q. -3 Express -43*j**2 - j**3 + 20*j**2 + 20*j**2 + 1 in the form f*j**2 + x + t*j**3 + u*j and give t. -1 Express (-4*q + q + q)*(-2 - 2 + 6)*(-3 + 1 - 2)*(-4 + 5 - 5)*(-2 + 2 - 2*q**3) in the form z + j*q**2 + x*q**3 + m*q**4 + i*q and give m. 128 Express -5*v - v - 9*v in the form r + b*v and give b. -15 Rearrange (-v + v + 2*v)*(2*v + 3 - 3) + 4*v**2 - 3*v**2 + 2*v**2 + 3 + v**2 + 3*v**2 - 5*v**2 to k*v**2 + p + n*v and give p. 3 Express l**2 - 1 + 1 + (2*l - l - 2*l)*(-4*l + l + 2*l) + 0*l**2 + 0*l**2 - 3*l**2 + 5*l**2 - 4*l**2 + 6*l**2 as r*l + k*l**2 + w and give k. 6 Rearrange 4*g + 5*g - 19*g - 21*g to n + f*g and give f. -31 Rearrange 25*j**4 - 5 + 0*j**3 - 24*j**4 + j**3 + j + 3 to the form t*j**3 + u*j**4 + c*j**2 + x*j + m and give m. -2 Rearrange 3 + 2 + 0 - 23*k**2 - 6 to the form r*k**2 + t*k + v and give v. -1 Rearrange 0*x**3 + 3*x**3 + x**3 - 3 to v*x + z*x**2 + n*x**3 + d and give d. -3 Rearrange 7*w**2 + w**3 + 9*w**4 - 3 - 11*w**4 + 0 to a + j*w**4 + u*w**3 + k*w + n*w**2 and give n. 7 Express -6*s**2 + 2 - 6 + 0*s**2 + 4*s - 3*s**2 - 4*s + (2 + 2*s - 2)*(s + s - 3*s) in the form a*s**2 + l*s + t and give a. -11 Express 32 - r - 32 - 2*r**3 in the form a*r**2 + y*r + u*r**3 + w and give y. -1 Rearrange 76*c - 54 + 54 to j + v*c and give v. 76 Express (2*r**3 + r - r)*(-2*r + r + 3*r) + 9*r**4 - r**4 - 22*r**4 - 6 + r**4 + 6 as n*r**4 + z*r + y + t*r**3 + b*r**2 and give n. -9 Rearrange 6*n**3 + 2*n**3 + 1 - 6*n**3 - 2*n**2 + 2 to u*n**2 + i*n**3 + h + f*n and give u. -2 Rearrange 10*o**2 - o**2 + 25*o**2 + 35*o**2 to x + r*o**2 + a*o and give r. 69 Express 55*q - 29*q - 30*q + 83*q in the form a + c*q and give c. 79 Express -3*q - 4*q + 2*q - 15*q in the form l + p*q and give l. 0 Rearrange 2*v**2 - 4*v**3 - 6*v - 5*v + 9*v to the form n*v + w*v**2 + m*v**3 + f and give n. -2 Express (8 - 2 - 1)*(y**2 + 0*y + y - 3*y) as l*y**2 + o + p*y and give p. -10 Rearrange 6*n**4 + n + 2 - 7*n**4 + 3*n**3 + 2*n**4 to i*n**2 + o*n + u + p*n**3 + m*n**4 and give o. 1 Express 4*x + 23 - 2*x - 17 + 3*x as g*x + a and give g. 5 Rearrange 2*h**3 - 2*h + 58*h**2 + h - 67*h**2 + 4*h to w*h**2 + q*h**3 + d*h + j and give q. 2 Express (3*t + t - 2*t)*(-2 + 1 - 1) - 2*t - t + t + t + 4*t - 3*t in the form b + h*t and give h. -4 Express -26*q + 3*q + 4*q in the form m + x*q and give m. 0 Express (0*c + 0*c + c)*(5*c**2 - 2*c**2 - 2*c**2) - 2*c**3 + 3*c**3 + 0*c**3 as q + l*c**2 + j*c**3 + v*c and give j. 2 Rearrange (-14 - 15 + 3*x + 33 + 3*x**2)*(x**2 + 3*x**2 - 6*x**2) to n + y*x**3 + h*x**2 + r*x + q*x**4 and give q. -6 Rearrange -2*b**2 + 0*b - 3*b + 0 - 4 - 4 to the form i*b**2 + q*b + r and give r. -8 Express 5*p**2 + p**2 + 3*p**3 - 6*p**2 + p as m + n*p**2 + x*p**3 + q*p and give q. 1 Rearrange 0*j**2 + 2*j**2 - j + 2*j**2 - 6*j**2 to c*j**2 + b*j + w and give c. -2 Express (-4*b**3 + 250*b + 1 - 250*b)*(b + 0*b + 0*b) in the form a*b + v*b**4 + c + j*b**3 + y*b**2 and give v. -4 Rearrange 4*s**2 + 3*s + 7*s**2 - 6*s - 4*s**2 to the form x*s + p + u*s**2 and give u. 7 Express (-26 + 26 - 12*c)*(1 - 1 + 1)*(-1 - 1 + 1) as y*c + z and give y. 12 Rearrange 21*z**2 + 7*z**2 + 5*z**2 to r*z + h*z**2 + b and give h. 33 Express (19 - 15 + 12)*(2*x - 3 + 3) in the form d + o*x and give o. 32 Express 3*j + 13*j - 2*j as b*j + c and give b. 14 Rearrange 231 - 466 + 6*o + 227 + (0*o + 3*o - o)*(-3 + 2 + 3) to the form p*o + i and give i. -8 Express 3 - r - 3 + (-4 + 4 + r)*(1 - 3 + 1) - 6*r + 2*r - 10*r as h*r + i and give h. -16 Rearrange (0*l**2 + l**3 + 0*l**2)*(4*l - 2*l + 5*l) to v*l**4 + f*l + c*l**3 + i + u*l**2 and give v. 7 Rearrange (-r + r - 4*r**2)*(-2 + 6 - 1) - 3*r + 2*r**2 + 3*r + 2 - 2 - r**2 + (-r - 2 + 2)*(-1 - 2*r + 1) to h*r**2 + o + k*r and give h. -9 Express -10 - 2*l + 27 - 14 + (-6 + 1 + 2)*(-l + 1 - 1) as i + x*l and give x. 1 Express 14*l**2 - 5*l**3 + 9*l**2 - 13*l**3 - l**4 + 20*l**3 in the form a*l + z + s*l**4 + g*l**3 + d*l**2 and give g. 2 Rearrange 7*p - 12 + 9*p - p + 13 to o*p + r and give r. 1 Rearrange 28*j**2 + 106*j - 55*j - 51*j to the form z*j**2 + w + x*j and give z. 28 Express (-3*i + 0*i + 5*i)*(6 - 2 - 3) + i - 8*i + 0*i + 4*i + 0*i - 3*i in the form b*i + u and give b. -4 Express -94*p - 12*p - 19*p + 36*p in the form y + i*p and give i. -89 Express (2*o**2 - 5*o**2 + 2*o**2)*(4*o - o - o) - 4*o**3 + 4*o**3 + o**3 in the form f*o**2 + y*o + q + z*o**3 and give z. -1 Express 3*u**2 - 6*u**2 + 2*u**2 + 2 - 2 + 2*u**2 + (-1 - 2*u + 1)*(-u - 1 + 1) + 4 - 12 + 3*u**2 - 2*u**2 in the form w*u**2 + h*u + g and give w. 4 Express 8 + 13 - 16 + 2*v**2 as a + x*v + o*v**2 and give o. 2 Rearrange (b**2 - 2*b**2 + 0*b**2)*(-87 + 7*b + 87)*(9 - 9 + 4*b) to the form c*b**2 + r*b**4 + s*b**3 + y*b + i and give r. -28 Rearrange (-1 + 2*r + 1)*(-r**2 + 0*r**2 + 3*r**2) - 2*r**2 - 3*r**3 + 2*r**2 + 10*r**3 - 18 + 18 to i*r**3 + n*r + q*r**2 + k and give i. 11 Rearrange -5*r**4 + 3*r**4 - r**4 + (-3*r**2 + 3*r**2 + 2*r**2)*(0*r**2 - r**2 - 2*r**2) to q*r + s*r**4 + i*r**2 + z + d*r**3 and give s. -9 Express (-3*l + 3*l - 3*l)*(24 + 6 - 6) in the form z + d*l and give d. -72 Rearrange (4 - 2*q - 4)*(300*q**2 + 5*q**2 + 269*q**2) to g*q**3 + u*q + b + m*q**2 and give u. 0 Rearrange -3 + 14 - a - 12 to the form v + m*a and give m. -1 Rearrange -4*x**3 - x**2 - 2626*x - x**2 + 2627*x to q*x + n*x**2 + g + i*x**3 and give n. -2 Rearrange -59*t**3 - t + 83*t**3 - t - 39*t**3 to the form c*t**2 + n + l*t + m*t**3 and give l. -2 Rearrange (4*j**3 - 4*j**3 + 2*j**3)*(-2 + 1 + 5)*(18 - 18 - 4*j) to the form v*j**4 + k + w*j + b*j**2 + a*j**3 and give v. -32 Express -z**2 - 16*z**2 + z + 7*z**2 - 9*z**2 as n + s*z + m*z**2 and give m. -19 Express 3*i**2 - 4*i**2 + 0*i**2 - 4*i in the form f*i**2 + l*i + g and give l. -4 Express -4*q**3 + 4*q + q - 3*q**2 - 7*q as w*q**3 + h + s*q**2 + p*q and give w. -4 Rearrange (-2*o + 0*o - o)*(-3*o**3 + 3*o**3 + 2*o**3) + 3*o**4 + o + 8*o**3 - 8*o**3 to the form j*o**3 + v*o**2 + a*o + f + r*o**4 and give a. 1 Express (6 - 6 + 12*t)*(-2 + 3 - 3) - 7*t + 20 - 20 - 3*t + 0*t + t - 3*t + 2*t - t + (-3 + 0 + 1)*(1 + t - 1) - 2*t + 5*t - t in the form p*t + m and give p. -35 Rearrange (3*y**3 - 4*y**3 + 8*y**3)*(-3*y + 2*y - 4 + 2*y) to the form k*y**2 + h*y**4 + m + a*y**3 + q*y and give a. -28 Express (11 - 11 + 5*i)*(-2 + 1 - 11) in the form q*i + o and give o. 0 Express v**4 + 6 + 5 - 1 - 6 - 4*v**2 as r*v + a*v**4 + t + s*v**3 + x*v**2 and give x. -4 Rearrange -a**3 + 2*a**4 - 1 + 4*a**3 + a**2 + 0*a**2 + 3*a**3 to the form x*a + o*a**4 + p*a**2 + b*a**3 + l and give p. 1 Express 5 - f**2 - f**2 - 4 + 0*f**2 as j*f**2 + a*f + i and give i. 1 Rearrange (m**2 + 2*m**2 + m**2 - m**3)*(14*m - 15*m - 7*m) to r*m**4 + z*m**3 + k*m**2 + s*m + y and give z. -32 Rearrange -2 - 4*z**3 + z**3 + 0 + (z + 0*z - 3*z)*(-3*z**2 + 2*z**2 + 0*z**2) - z**3 + 2*z**2 - 2*z**2 to the form k*z**3 + j*z + v + s*z**2 and gi
{ "pile_set_name": "DM Mathematics" }
) = m*j(g) + 2*b(g). Determine f(0). 10 Let i be 1 - 18/(2 - 0). Let l be 1/(-4) - 34/i. Let z(s) = -l*s + 4 + 8 - s**2 - 14. Determine z(-4). -2 Let z(s) be the third derivative of s**7/280 + s**6/720 + 13*s**4/12 + 13*s**2. Let k(l) be the second derivative of z(l). Suppose 5*m = -0 + 5. What is k(m)? 10 Let u = 165 + -22. Let f = u - 132. Let l(x) = -x**2 + 12*x - 14. Calculate l(f). -3 Let t = -51 + 41. Let c be (4/t)/((-54)/405). Let u(d) = 8*d - 2. What is u(c)? 22 Let d(l) = l**2 - 3*l + 8. Let k(y) = y - 1. Let g(t) = d(t) + 6*k(t). Let x be g(-2). Let i(u) = x*u + 3*u + 5 + 17*u**2 - 5*u - 18*u**2. Determine i(4). -19 Let b(z) be the second derivative of -z**5/20 + 7*z**4/12 - z**3/2 + z**2 - 17*z + 5. What is b(3)? 29 Let d(m) = -14*m**2 - 15*m. Let u(q) = 5*q**2 + 5*q. Let x(h) = -6*d(h) - 17*u(h). Let s(p) = -p**3 + 6*p**2 + 7*p + 3. Let w be s(7). What is x(w)? 6 Let h(y) = -6*y**3 + 7*y**2 + 14*y - 4. Let n(c) = -5*c**3 + 7*c**2 + 13*c - 4. Let x(t) = 4*h(t) - 5*n(t). Calculate x(8). -4 Suppose 5*z = -3*h + 8 - 1, -h = -2*z + 5. Let l(r) = 13*r - z - r - 14*r. Suppose -4*p + 16 - 4 = 0. Determine l(p). -8 Let l(x) be the second derivative of x**5/20 + 11*x**4/12 - 11*x**3/6 + 3*x**2/2 + 11*x. Give l(-12). -9 Let o(v) = -v**2 - 6*v + 8. Let t = 15 - 22. Let g be o(t). Let l(j) be the second derivative of j**5/4 + j**4/12 - j**3/6 + 2*j. Determine l(g). 5 Let f(h) = 24*h**2 - 3*h. Let d(y) = -8*y**2 + y. Let s(o) = -7*d(o) - 2*f(o). Let c = 69 + -67. Suppose 3*r + 2 = -c*p, p - r = 3*r - 1. What is s(p)? 9 Let q(g) = -g**3 + 12*g**2 + 12*g + 8. Let y be q(13). Let u be ((-2)/y)/((-1)/(-5)). Let m(s) = 3*s**3 - 3*s**2 + s. Give m(u). 14 Let w(b) = b**2 + 5*b - 6. Let g(r) = r**2 - 3*r - 1. Let q be g(-3). Let m = -23 + q. Calculate w(m). 0 Let f(x) = -x**2 - 8*x - 6. Suppose 25*b = 27*b + 4. Let y be ((-7)/(-7))/(b/10). Calculate f(y). 9 Let f(w) = -18*w**3 + 5*w**2 + 4*w - 5. Let p(z) = 53*z**3 - 14*z**2 - 11*z + 14. Let k(a) = 11*f(a) + 4*p(a). Determine k(1). 14 Let p(c) = c + 2. Let f be (2/(-12))/((-4)/72*3). Let m(k) = -10*k**2 - k. Let j be m(f). Determine p(j). -9 Suppose 0 = -3*i - d - 16, -8*i + 12*i + 2*d = -22. Let v(y) = -7*y - 4. What is v(i)? 31 Let u(z) = z**3 - 11*z**2 + 8*z + 24. Let q = 618 + -608. What is u(q)? 4 Let s = -278 - -278. Let r = 1 + 0. Let t(x) = x - r + 0*x - 4. Determine t(s). -5 Let r be ((-72)/(-30))/(4/10). Let y(n) be the third derivative of -n**5/60 + n**4/6 - 3*n**3/2 + 3*n**2. Give y(r). -21 Let t(g) = -g**3 + g**2 + g - 14. Suppose 0 = 5*h + 5*r - 15, r - 6 + 3 = 4*h. Give t(h). -14 Let i(g) be the third derivative of 0 + 0*g + 6*g**2 + 1/24*g**4 - g**3. Suppose -h = -2*h + 3. What is i(h)? -3 Let w(y) = -9*y**2 - 2*y - 3. Suppose -4*n = 4, -4*m - 2*n + 2 = 8. Determine w(m). -10 Let g(c) be the first derivative of -7 + 5/3*c**3 + 3/2*c**2 + 1/4*c**4 + 0*c. Let o be g(-4). Let x(t) = t**3 - 6*t**2 + 5*t + 4. Give x(o). -8 Let v(r) be the third derivative of -r**4/24 + 4*r**3/3 - 53*r**2 - 2*r. Determine v(11). -3 Let v(z) = -z**3 - 4*z**2 - 3*z + 3. Suppose -2*y = 3*j - 3*y + 38, -2*j = 5*y + 14. Let b = -8 - j. Suppose 0 = q + b, 3*l + 0*l = 5*q + 11. Give v(l). 3 Let n(h) be the second derivative of -h**4/12 - 7*h**3/6 + 5*h**2/2 + h + 5. Suppose -2*v - 1 = -j, -4*j - 2*v = -6*v + 12. Determine n(j). 5 Let n(m) = -m**2 + 4*m. Let a = 2 + -2. Suppose a*f = -5*f + 15. Determine n(f). 3 Suppose 11*b - 40 = -9*b. Let k(y) be the third derivative of 1/3*y**3 - 1/120*y**6 + 1/30*y**5 + 0 - 6*y**b + 1/6*y**4 + 0*y. Calculate k(-2). 10 Let y(b) = -3*b + 1. Let s = -7 + 11. Suppose 0 = -s*r + 3*r. Suppose r = -4*q + t - 7, -6*q + 2*q + 5 = 3*t. Give y(q). 4 Let v(j) = -6*j - 2. Let t(z) = -13*z - 4. Let f = -4 + 1. Let m(q) = f*t(q) + 7*v(q). Let k be 3*2*-1*(-4)/(-8). Determine m(k). 7 Let p(a) = -13*a + 32. Let d(h) = -8*h + 21. Let l(o) = -8*d(o) + 5*p(o). What is l(-5)? -3 Let a be (((-1445)/(-20))/(-17))/((-1)/4). Let c(i) = -2*i**2 + 33*i + 2. Determine c(a). -15 Let q(c) = c - 14. Let j be q(5). Suppose 3*w = -3*y + 24 + 33, -y + 2*w + 7 = 0. Let r = j + y. Let g(l) = l**2 - 4*l - 7. Give g(r). 5 Let y(g) = -g**2 - 4*g - 2. Let s(p) = -5*p**2 - 19*p - 11. Let w(d) = 5*d - 18. Let l be w(4). Let f(r) = l*s(r) - 11*y(r). Determine f(-5). -5 Let r(x) be the first derivative of x**3/3 + x**2/2 - 4*x - 73. Give r(0). -4 Let d(x) be the third derivative of x**5/60 + 3*x**4/8 + 5*x**3/3 - 73*x**2. Give d(-8). 2 Let z(l) be the third derivative of -5*l**4/8 + l**3/6 - 52*l**2. Give z(1). -14 Let q(k) = k + 3. Let h = 26 - 18. Let b(x) = -5*x**2 - 2 + 3*x**2 + h*x + x**2. Let z be b(7). Calculate q(z). 8 Let a(c) = -9*c**2 - 5*c + 29. Let g(v) = 11*v**2 + 4*v - 29. Let t(i) = 6*a(i) + 5*g(i). Determine t(7). 8 Let v be (-48)/(-72) - 50/(-6). Let g(f) = -f**3 + 10*f**2 - 10*f - 1. Determine g(v). -10 Let i be (2 - (112/35)/4)*5. Let w(m) = -2*m**3 - 7*m**2 + 9*m - 4. Let c(s) = -s**3 + s + 1. Let a(t) = -3*c(t) + w(t). Give a(i). -7 Let d(f) be the third derivative of f**6/120 - f**5/12 + f**4/12 - f**3/6 + 65*f**2. Give d(5). 9 Let b(d) = 11*d**2 - 4*d**2 + 3 - 4*d**3 - 3*d + 1 - 2 - 8*d**2. What is b(2)? -40 Let j = 1088 - 1080. Let f(l) = -5*l + 17. Determine f(j). -23 Let y be 1/(-2) - 2/(-4). Let l(f) be the first derivative of -f**3/3 + 8*f + 136. What is l(y)? 8 Let y be 2/3 - (-5)/(-3). Let i(q) = 3*q. Let b(k) = 4*k**3 - k + 5. Let f be b(2). Let t(n) = -50*n. Let a(u) = f*i(u) + 2*t(u). Calculate a(y). -5 Let z(r) = 9*r**2 - 1. Let k(g) = -28*g**2 + g + 4. Let o(u) = 2*k(u) + 7*z(u). Let j = -60 - -40. Let b be j/12 + 4*(-3)/(-18). What is o(b)? 6 Let z(j) = j - 2. Let i = 1389 - 1381. Determine z(i). 6 Let c(a) = a**3 + 5*a**2 + a + 1. Let w(y) = -y - 5. Suppose -4*f - 30 = 2*m, 8*f - 3*f + 4*m + 33 = 0. Let o = f - -9. Let q be w(o). Determine c(q). -4 Let i be 12*(-1)/8*4. Let d(t) = -t**3 - 5*t**2 + 3*t - 10. Determine d(i). 8 Suppose -5*a - 2*z = 2*z + 10, 0 = 2*z - 10. Let v(r) = r**2 + 5*r - 8. Let h be v(a). Let n = -2 + h. Let l(j) = -2*j - 1. Calculate l(n). 7 Suppose 0 = 4*l - 11 + 3. Suppose -5*o - 3*h = -4, 0*o + 4*o - 4 = -l*h. Suppose -6 = o*u - u. Let k(j) = j**2 + 4*j - 3. Give k(u). 9 Suppose -2*i + 5 = -i. Let t(u) = u - 6. Let b(x) = -x. Let g(f) = -2*b(f) - t(f). Let n(y) = -6*y - 24. Let p(j) = -9*g(j) - 2*n(j). Give p(i). 9 Let t(w) = w**3 - 9*w**2 + 6*w + 9. Suppose 0 = -35*k + 24*k + 88. Determine t(k). -7 Suppose 0 = 4*i + 20 - 32. Suppose 0*b - 2*f + 10 = -i*b, -2*b + f - 5 = 0. Let h(w) = w**2 - w + 5. Determine h(b). 5 Suppose 3*d = -4*d + 28. Let o(b) = -b - 4. Determine o(d). -8 Let l(s) be the third derivative of 13/6*s**3 + 24*s**2 + 1/120*s**6 + 3/20*s**5 + 0 + 1/12*s**4 + 0*s. Give l(-9). -5 Let d(f) = f**2 - 2*f - 1. Let r(s) = s**3 + 13*s**2 + 42*s + 4. Let b be r(-7). Calculate d(b). 7 Let q = 11 - 10. Let z(w) = 238*w - q + 0 - 239*w. Calculate z(6). -7 Let g = 61 + -59. Let p(k) be the third derivative of k**2 + 1/15*k**5 - 1/3*k**3 + 0*k - 1/60*k**6 - 1/24*k**4 + 0. Give p(g). -4 Let z be ((-8)/(-6))/(32/144). Suppose -w = -4*w - z. Let r(k) = -k**2 - 3*k - 3. What is r(w)? -1 Let z(w) = 3*w + 20*w - 9*w**2 - 2 - 7*w + w**3 - 2*w. Determine z(7). -2 Let d(a) = -a - 34. Let o be (1 - 5)*-55*(-1)/10. Determine d(o). -12 Let d(y) = 10*y - 3*y - 4*y + 0 + 2 - 5*y. What is d(-2)? 6 Let p(s) = s**2 + 2*s - 8. Let y be p(-3). Let q(w) = w**2 - w - 1. Give q(y). 29 Suppose -2*l + 2 = -4*d, 5*l + 5*d + 11 - 31 = 0. Let y be ((-2)/l)/(4/(-24)). Let v(z) be the second derivative of z**3/6 - z**2/2 + z - 15. What is v(y)? 3 Let p(o) = 8*o + 1. Let y(f) = f + 13. Let g be y(-9). Let a(h) = 9*h + 2. Let t(d) = g*p(d) - 3*a(d). Calculate t(2). 8 Let t(b) = 6*b + 1. Suppose 25*p = 29*p + 4. Calculate t(p). -5 Let p(j) = -j**3 + j**2 + 2*j + 1. Let x be p(-1). Suppose -4*n = 8*i - 4*i, -2*n - i = 0. Let y(c) = -x - 2 + 2*c + n - c. Calculate y(6). 3 Suppose 4*f = 5*b + 29, 4*f = b - 3*b + 22. Suppose 41 + 3 = 4*v. Let m = f - v. Let n(s) = s**2 + 6*s - 3. Calculate n(m). -8 Let h(u) = -34*u**2 - u + 1. Suppose -i - 6*n = -11*n - 26, 0 = -5*i - 3*n - 10. Give h(i). -34 Let t(j) be the third derivative of -j**3/6 + 70*j**2. Let z(g) = -g. Let n(c) = 6*c - 1. Let b
{ "pile_set_name": "DM Mathematics" }
mplify 2*((sqrt(95)/sqrt(5)*-2*1)**2 - (1 + sqrt(19) + 2 + sqrt(684))). -14*sqrt(19) + 146 Simplify -5 + ((2 + (sqrt(3) - sqrt(33)/(sqrt(22)/sqrt(2))))**2 - (-2 + sqrt(3) + -2 + (6*2*sqrt(3))**2)). -429 - sqrt(3) Simplify 2*(-4*(0 + sqrt(175)))**2*-5. -28000 Simplify 0 + 6*(sqrt(288) + sqrt(288)*2 + -5 + -5)**2. -4320*sqrt(2) + 16152 Simplify sqrt(18)/(sqrt(729) + sqrt(729)*2 + sqrt(9))*-5 - (sqrt(120)/(1*sqrt(6)))/(2*sqrt(160)). -17*sqrt(2)/56 Simplify (4 + -4*(1 + (sqrt(539) - (sqrt(539) + (sqrt(539) - (sqrt(539) + 0 - sqrt(539)) - sqrt(539)) + -3))) + 1)**2. 121 Simplify ((sqrt(128) + -2*sqrt(128) + sqrt(128) + 1 + -4)*-3*-6*-3)**2. 26244 Simplify 2*(sqrt(245)*-1 + ((sqrt(60)/sqrt(4) - sqrt(15))/sqrt(3))**2 + -2*sqrt(245) + sqrt(5) + (sqrt(10)/(sqrt(4)/sqrt(2)))**2). -40*sqrt(5) + 10 Simplify (6*sqrt(48) + 2 + -5 + 4 + sqrt(15)/sqrt(5))**2. 50*sqrt(3) + 1876 Simplify (-1*((sqrt(2057) + -1 - sqrt(2057))*-6 - (-2 + sqrt(2057) + 3 - sqrt(2057))))**2*6. 150 Simplify ((-3*sqrt(70)*3 + sqrt(70))/sqrt(10) + -2 + sqrt(7) + -1 + sqrt(77)/sqrt(11))**2. 36*sqrt(7) + 261 Simplify ((-1*(sqrt(343) + 1)*-5 + ((1 + sqrt(343))*3 - sqrt(343))*-1)*-1)**2. 84*sqrt(7) + 3091 Simplify (-4*(3 + -2*sqrt(5)) - (0 + sqrt(405) + -3 + sqrt(80))**2)*4. -3464 + 344*sqrt(5) Simplify (sqrt(1584) + (3 + sqrt(1584) - sqrt(1584) - sqrt(1584)))*-1 + (sqrt(1584)*5*-2)**2. 158397 Simplify 3 + -4 + (3 + -1 + sqrt(3) - (sqrt(243) + (sqrt(243)*-2 - sqrt(243)))**2). -971 + sqrt(3) Simplify (3 + -6*sqrt(63)*5*-4 + 3)**2. 4320*sqrt(7) + 907236 Simplify -6*(-3*(-2*sqrt(13))**2 + (sqrt(1300) + 0)**2)*3. -20592 Simplify 2*(sqrt(121) + 1*sqrt(121)*3)/(1*sqrt(176)). 2*sqrt(11) Simplify (sqrt(21)/(sqrt(175)*-1 + sqrt(175) + sqrt(175)) + -1)**2*2*-4 + 0. -224/25 + 16*sqrt(3)/5 Simplify -3 + (5 + sqrt(5)*-2)**2 + (sqrt(20)/sqrt(4) + -5)*-3. -23*sqrt(5) + 57 Simplify -5*((-6*-1*sqrt(26))/((sqrt(200) - sqrt(200)*-2) + sqrt(200) - sqrt(200) - sqrt(2)) + -2). -30*sqrt(13)/29 + 10 Simplify -2 + 2 + (sqrt(1125) - (sqrt(1125) + 1))*-2. 2 Simplify (-4*sqrt(170)*1*4)/(sqrt(280)/sqrt(7)*2). -4*sqrt(17) Simplify -1 + -3*(((-2*sqrt(104) - sqrt(104))*-2 + sqrt(104) - sqrt(104) - sqrt(104)) + sqrt(104))/(sqrt(8) - sqrt(32)/sqrt(4)*-3). -9*sqrt(13)/2 - 1 Simplify (sqrt(14)/(sqrt(14)/sqrt(2)) - sqrt(2) - (3 + sqrt(6)/sqrt(3)) - ((sqrt(8)*-3)**2 + sqrt(2))*-3) + 1. 2*sqrt(2) + 214 Simplify -1*(-1 + sqrt(475))**2 + -3 + (sqrt(475)*1)**2 + (sqrt(475) - -4*(sqrt(475) - (2*sqrt(475) - sqrt(475))))**2 + -4 + (1 + sqrt(475))**2 + sqrt(475). 25*sqrt(19) + 943 Simplify (2*(-1*((-2*sqrt(425) - sqrt(425)) + sqrt(425)) + (sqrt(425) + -2)*2))**2*3. -1920*sqrt(17) + 81792 Simplify ((sqrt(22) + sqrt(2816)/sqrt(2))/(sqrt(352)/sqrt(8)))**2. 81/2 Simplify -6*(-3 + 3*(sqrt(1584) + (sqrt(1584) + 2)*-4 + 1 + sqrt(1584)*2))**2. -88992 - 10368*sqrt(11) Simplify 5 + 3*2*sqrt(19)*2 + 1 + sqrt(19) + sqrt(1900)*-1. 6 + 3*sqrt(19) Simplify -3*((sqrt(88)/(sqrt(16)/sqrt(2)*-2))**2 + (1 + sqrt(396) - (sqrt(11) + ((sqrt(88)*-2 - sqrt(88)) + sqrt(88))/sqrt(8))**2) + -1). -18*sqrt(11) + 99/4 Simplify (1*(sqrt(8064) + (sqrt(8064) - 2*-1*sqrt(8064)) + sqrt(8064))/(sqrt(128)*2*2))**2. 1575/16 Simplify (sqrt(50) + -6*sqrt(400)/sqrt(8))/(sqrt(1000) + (sqrt(1000) - (sqrt(1000) - -4*sqrt(1000) - sqrt(1000))))*-4*-1. sqrt(5) Simplify ((2 + sqrt(931))**2*-1 - 6*(sqrt(931) + -3)) + -2. -919 - 70*sqrt(19) Simplify ((0 + sqrt(468) - sqrt(468))**2*-3 + sqrt(468) - ((sqrt(468) + sqrt(468) + -1)*5)**2) + -2*sqrt(468) + -3 + sqrt(468) + 1 + -3. -46830 + 600*sqrt(13) Simplify (sqrt(108)/sqrt(4)*-2 + (2*sqrt(135) - sqrt(135) - sqrt(135))/sqrt(5))/(sqrt(900)*2 + (-4*(sqrt(27)/sqrt(3) + sqrt(9) - sqrt(9)) - sqrt(9))). -2*sqrt(3)/15 Simplify ((2*sqrt(133)*-2 - sqrt(133))/(sqrt(21)/sqrt(48))*6)**2 + -2. 273598 Simplify -2*(2 + (sqrt(1088) + (sqrt(1088) + -4)**2 - sqrt(1088))) + -5 + -4. -2221 + 128*sqrt(17) Simplify (((sqrt(88) + 4*sqrt(88))*1)/(sqrt(648)*-5))**2. 11/81 Simplify (-2 + -4*(sqrt(175) + 0)*3)**2 + -3. 240*sqrt(7) + 25201 Simplify (-5*-2*(sqrt(84)*-2 + sqrt(84)))/(sqrt(108)/((-2*sqrt(81))/sqrt(9))). 20*sqrt(7) Simplify (-2*(1*(sqrt(684) + -2) + -5))**2*-4. -11728 + 1344*sqrt(19) Simplify (((sqrt(384) - (sqrt(384) - sqrt(384)*-1) - sqrt(384)) + sqrt(384))*3 + sqrt(384) + sqrt(384))/sqrt(8) + (sqrt(480) - sqrt(480)*-1)/sqrt(10) + -4. -4 + 4*sqrt(3) Simplify ((sqrt(1800)*-1)/sqrt(3))/((sqrt(162) + (sqrt(162) - (2*sqrt(162) + sqrt(162))))*-5). -2*sqrt(3)/9 Simplify (((-2 + sqrt(72))*-6*-1 + -3)*4)**2. -17280*sqrt(2) + 45072 Simplify (sqrt(264)/(sqrt(11)*1) - sqrt(24))/(sqrt(72) + 1*sqrt(72)*-5). 0 Simplify -5*(-5*((sqrt(539) - sqrt(539)*-1*-2) + sqrt(539)))**2*4. 0 Simplify 3 + (6*(sqrt(21)/sqrt(3) - sqrt(7)))**2 - (sqrt(7) + (1 + -1 + sqrt(7) - sqrt(7)) + 2*(2*sqrt(7))**2). -53 - sqrt(7) Simplify -1*sqrt(3)*2 + 3 + (sqrt(48)*1 - (-4*sqrt(48))**2). -765 + 2*sqrt(3) Simplify (-3*((sqrt(288) - (sqrt(288) + 0 + sqrt(288) + sqrt(288) + -2 - sqrt(288))) + 0)*3)**2. -3888*sqrt(2) + 23652 Simplify -2 + ((1 + 1 + sqrt(192))**2 - ((sqrt(192)*-2 - sqrt(192))**2 + -1)). -1533 + 32*sqrt(3) Simplify (-1*sqrt(147) - (sqrt(48) - (sqrt(48) + -1))) + (sqrt(96)/(sqrt(20)/sqrt(5) + sqrt(4) - sqrt(4)))/sqrt(8). -6*sqrt(3) - 1 Simplify ((sqrt(352)/(sqrt(72)/sqrt(9)))/(sqrt(196)*1 - sqrt(4)))**2. 11/36 Simplify ((2*sqrt(231)*-6)/sqrt(11))/(sqrt(77)/(sqrt(99) + 1*sqrt(99))). -72*sqrt(3) Simplify 3*((-2*sqrt(660))/sqrt(12) + (sqrt(165) + sqrt(165) + sqrt(165)*-1)/sqrt(3) + sqrt(55))/((sqrt(99)*-1*4)/sqrt(9)). 0 Simplify (-1 + sqrt(7) + sqrt(7) + 1*sqrt(7) - sqrt(7))**2 + sqrt(224)/sqrt(8) + 5 - (-3*sqrt(28) - (sqrt(63) + 3)). 7*sqrt(7) + 37 Simplify -3*(sqrt(2052) - (sqrt(2052) + (-3*(sqrt(2052)*1 - sqrt(2052)) - sqrt(2052))) - sqrt(2052))/(sqrt(9)/(sqrt(3)*1) + (sqrt(120)/sqrt(4))/sqrt(10)). 0 Simplify (-4*(1 + -3*sqrt(2736) + -5 + sqrt(2736)*2 + sqrt(2736)))**2*-5. -1280 Simplify ((sqrt(168) + sqrt(168) + (sqrt(168) - (-1*2*sqrt(168) - sqrt(168))) + sqrt(168))/sqrt(12))/(1*sqrt(28)*-6). -7*sqrt(2)/12 Simplify ((sqrt(600) + sqrt(600)*-3)/sqrt(12))/sqrt(10) - (1 + (sqrt(5) - sqrt(5)*2) + -1). -sqrt(5) Simplify 3 + 2*-4*sqrt(80)*2 + -3. -64*sqrt(5) Simplify (-6*(sqrt(450)*-4 - sqrt(450))*-1 + -5)**2. 4500*sqrt(2) + 405025 Simplify (5 + sqrt(1088)*2 + -3)**2 - (-2*sqrt(204)*-3 - sqrt(204))/(sqrt(1728)*-1 - sqrt(12)). 837*sqrt(17)/13 + 4356 Simplify 4 + (-4 + -1*sqrt(1700)*2 - (1 + sqrt(1700))*-5*-6)**2. 21760*sqrt(17) + 1741960 Simplify ((1*(sqrt(152) - (sqrt(152) - (sqrt(152)*5 - sqrt(152) - sqrt(152)) - sqrt(152))))/((sqrt(32) + sqrt(3200) - sqrt(8)) + sqrt(8)))**2. 76/121 Simplify (sqrt(416)*2)/(sqrt(18)*-3). -8*sqrt(13)/9 Simplify (sqrt(4) - sqrt(48)/sqrt(192) - sqrt(180)/sqrt(5))/((sqrt(392)*1)/sqrt(4)). -9*sqrt(2)/28 Simplify ((sqrt(98) - 1*(0 + sqrt(98)) - 2*(sqrt(98) + sqrt(98) + 0)) + 3 + (-5 + sqrt(98)*-4 - sqrt(98)) + sqrt(98))**2. 224*sqrt(2) + 6276 Simplify ((2*(sqrt(165) + sqrt(165)*-1))/sqrt(3))/((-2*sqrt(720) + sqrt(720))*-4). 0 Simplify -4*(1 + sqrt(91)/sqrt(252) + 2)**2. -337/9 - 4*sqrt(13) Simplify (sqrt(252) + 2*-2*sqrt(252))**2 + -3 + (-2 + sqrt(567))**2. -36*sqrt(7) + 2836 Simplify (((2 + (sqrt(1539) - (2 + sqrt(1539))) + sqrt(1539) - (2 + sqrt(1539) + -3)) + 2)*-6)**2. 324 Simplify (-4 + -4 + (sqrt(1100) + 0 - sqrt(1100)) + -4*(1 + sqrt(1100)) + sqrt(1100))**2. 720*sqrt(11) + 10044 Simplify (sqrt(55) + sqrt(220)/(sqrt(12)/sqrt(3) + sqrt(4) - sqrt(4)) - (-1*sqrt(880) + sqrt(55)))/(5*sqrt(10)/sqrt(2) + sqrt(5) + sqrt(45)/(2*sqrt(9))). 10*sqrt(11)/13 Simplify ((-2 + sqrt(99))*-2)**2 + 1 + (0 + sqrt(11) + 0)**2 + sqrt(11). -47*sqrt(11) + 424 Simplify ((-5 + sqrt(108)*2)**2 + -6*(-1 + sqrt(108)))*-1. -463 + 156*sqrt(3) Simplify 6*((((1 + sqrt(5))*6 + 3*sqrt(5)*-1)**2 - (sqrt(180) - 2*sqrt(180) - (sqrt(5) - (sqrt(5)*-2 + 4)))**2) + 4). -2016 + 648*sqrt(5) Simplify (sqrt(48)/sqrt(16)*-3)/(4*(sqrt(4) + sqrt(12)/sqrt(3))*3). -sqrt(3)/16 Simplify ((-2*sqrt(320) + sqrt(320))*-3)/(sqrt(324)/sqrt(81)). 12*sqrt(5) Simplify (-1*-2*-2*sqrt(176)*3*4*2)**2. 1622016 Simplify -5*(sqrt(175) - ((-2 + sqrt(175))**2 + -2) - (sqrt(56)/sqrt(32) - -4*-1*sqrt(7))). -285*sqrt(7)/2 + 885 Simplify sqrt(77)/(1*(sqrt(11)*-2 - sqrt(11)) - sqrt(11)) + (sqrt(7) - (sqrt(448)*1)**2 - sqrt
{ "pile_set_name": "DM Mathematics" }
*(-15)/18)/((-15)/12)? 6 Let b = -1173285/32 - -36668. Calculate the common denominator of b and -3/4. 32 Let u = 867/2 - 20855/48. What is the common denominator of u and 69/64? 192 Let b = 98 + -54. Suppose b + 20 = 8*y. Calculate the smallest common multiple of 2 and y. 8 Suppose -2*d - 26 = -f - 3*f, 2*d = 3*f - 22. Let l be (10/(f + -3))/2. Suppose -2 = -l*c + 8. Calculate the smallest common multiple of 8 and c. 8 Suppose -y + 0 = -30. Let h be 104/y - 4/6. Let a = h + -2/15. What is the common denominator of -43/3 and a? 3 Let w(o) = 2*o - 16. Let n be w(-5). Calculate the common denominator of (-1620)/(-52) + 4/n and -65/9. 9 What is the lowest common multiple of 14 and (-96)/12*(-9)/12? 42 Suppose -28 = -3*t + 5*s + 112, 4*t + 2*s - 230 = 0. Calculate the smallest common multiple of t and 205. 2255 Suppose 4*k - 7 = 13. Suppose -2*t + 4*y = 6, 3*t - t + 2*y - 12 = 0. Calculate the least common multiple of k and t. 15 Suppose 0 = 21*f + 4*f - 500. What is the lowest common multiple of 56 and f? 280 Let k = 10470 - 5014. Let o = -109077/20 + k. Calculate the common denominator of o and -4/5. 20 Let f = 800 - 752. Calculate the least common multiple of f and 88. 528 Let i = -13533/1778 + -4/127. Find the common denominator of i and 103/12. 84 What is the common denominator of 5/(-30)*117/(-27) and 89/22? 198 What is the common denominator of (-620)/288 + (-10)/(-64 + 4) and 87/80? 720 Let m(y) = 2*y**3 - 6*y**2 - 9*y + 5. Let g(s) = -8*s - 12. Calculate the least common multiple of m(4) and g(-3). 12 Let w be 2/(4 - (-1 + 3)). Let m be ((-8)/5)/(w/(-5)). Calculate the common denominator of m/(-32)*(-178)/(-7) and -83/10. 70 Suppose -3*g + 56 = 4*t - 121, t = 4*g + 30. Suppose -145 = 5*s + 3*v, -3*v + 7 = -8. Let i = t + s. What is the smallest common multiple of i and 16? 80 Suppose 64 = 5*v + 9. Suppose l - 5*l = 0, -2*p + 2*l + 24 = 0. Let g = p + -6. Calculate the least common multiple of g and v. 66 Let f(w) = -9*w + 2. Let v be f(-1). Let g(o) = -v*o - 4 + 7 + 12*o. Calculate the least common multiple of g(15) and 16. 144 Let z = -94/139 + 12491/12510. Calculate the common denominator of 38/27 and z. 270 Suppose -3*m + m + a - 10 = 0, 5*m = -3*a - 25. Let x = 8 + m. Calculate the smallest common multiple of (-4)/(-12)*x*4 and 20. 20 Suppose 4*s - 280 = -80. Suppose 2*h = -3*w - 2, -7*w + 5*w - 4*h = 12. Calculate the smallest common multiple of w and s. 50 Let d(a) = a**3 + 5*a**2 + 7*a + 5. Let j be d(-4). Let h = j - -3. Find the common denominator of (-13)/h + 0 + 1 and -41/2. 4 Suppose -1336 = -86*i - 476. Calculate the least common multiple of 505 and i. 1010 Let b = -1534 + 3035/2. What is the common denominator of b and 11/1316? 1316 Let g = -4 - -6. Find the common denominator of (-16)/88 + (-806)/(-198) and (-11)/g*8/(-10). 45 Let z be -2*2/((-8)/6). Let x(i) = 108*i**2 + 1 - 208*i**2 + 99*i**2 + 4*i. Calculate the smallest common multiple of x(z) and 6. 12 Let x = 8278/801 + -1/801. What is the common denominator of (25*(0 + -1))/(-8) and x? 24 Let g = -26 + 29. Calculate the lowest common multiple of 44 and -3*g/6*-6. 396 Let m(l) = l**3 - 10*l**2 + 3*l - 8. Let r(d) = -d**3 - 8*d**2 + 2. Let g be r(-8). Suppose g*i = 4*i - 40. What is the least common multiple of m(10) and i? 220 Let d = 16067/170 + -1/85. Let o = -91 + d. Find the common denominator of o and 42. 2 Let p(z) = -3*z + 3. Let v be p(-3). Let l = -9 + v. Suppose 3*a - 21 = l. Calculate the least common multiple of 14 and a. 56 Suppose -2*r + 4*l = -36, 0 = -3*r + 2*l + 3*l + 53. Let q be (-24)/(-32) - (-23682)/r. Let j = 1479 - q. What is the common denominator of -5/9 and j? 72 Let j be -3 + 5 + (-61447)/(-14). Let z = j + -4393. What is the common denominator of -61/14 and z? 14 Suppose -5*x = -3*t - 99, -3*t = 6*x - 2*x - 63. Let f = -8 - -16. Calculate the least common multiple of x and f. 72 Suppose 0 = -j - 3 + 33. Suppose j = 2*h + h. Suppose g - 8 = 2. What is the lowest common multiple of g and h? 10 Let z = -209/144 - -41/16. Let m(o) = -317*o - 17. Let y be m(-4). What is the common denominator of -2 - (y/120 - (-1)/5) and z? 72 What is the common denominator of (-18)/2 - 41059/(-4750) and 99/50? 250 Suppose -4*l = -l - 15. Suppose -l*o + 70 + 20 = 0. Calculate the smallest common multiple of 18 and o. 18 Let x = -21781 - -48876. Let w = x + -541791/20. Find the common denominator of w and (-2 - -2) + 42/16. 40 Let t = 131/18 - 31/18. What is the common denominator of t and -47/20? 180 Let a(j) = -j**3 - j**2 - 3*j - 5. What is the least common multiple of a(-2) and ((-9)/(-4))/((-3)/(-16))? 60 Let b(m) = m**2 - 13*m + 1. Let d be b(14). Calculate the common denominator of ((-22)/d)/(88/(-110)) and 62/5. 30 Suppose 5*a + 5 + 0 = -3*u, -4*u - 12 = 4*a. Find the common denominator of (-61)/2 - a/(-2) and ((-38)/(-32))/((-6)/(-60)). 8 Calculate the common denominator of 20/33 and 4016/5124 + -6*6/84. 2013 Let g be ((-55)/15 + 1)/((-2)/(-69)). Let h = -76 - g. What is the smallest common multiple of 9 and h? 144 Suppose 41*t - 392 = 13*t. What is the smallest common multiple of t and 70? 70 Let h be 22328/(-3296) - (5/(-4) + 1). Let p = -29003/2472 - h. Calculate the common denominator of 113/30 and p. 120 Let z be (3 - -31)*(-2)/(-2). Calculate the smallest common multiple of 3 and (-49)/(-2) + 51/z. 78 Suppose -8 = 2*l, 0 = -f - 4*l - 39 - 59. Find the common denominator of 18/15*-1*f/(-8) and 10/11. 110 Let w = -49813000/1418591 + 105/42346. Let r = 26/67 - w. Calculate the common denominator of (-1 - -5) + 5472/(-640) and r. 20 Suppose r = 8*r - 56. Suppose -3*w + 4 = -r. Let n(o) = o**3 - 3*o**2 - o - 4. What is the lowest common multiple of n(w) and 20? 40 Let c(j) = 40*j**2 - 16*j + 56. What is the smallest common multiple of 14 and c(6)? 1400 Let k = 36 + -14. Suppose 3*u + 51 = 3*j, 5*u - j = -70 - 11. Calculate the smallest common multiple of k and (u/10)/((-4)/10). 44 What is the common denominator of -104/105 and 642/165 + (-120)/150? 1155 Suppose -21*o = 3*o - 3864. Calculate the smallest common multiple of o and 46. 322 Let a(f) = -f**3 - 41*f**2 + 134*f + 98. Suppose 3*b - 12 = 9. Calculate the smallest common multiple of b and a(-44). 70 Let f = 1388641/164988 + 2/41247. Calculate the common denominator of -21/104 and f. 312 Suppose 7392 = 112*f - 0*f. Calculate the lowest common multiple of f and 22. 66 Let g = 25 + -132. Let b = 355 - g. What is the common denominator of -53/20 and -2*1 + b/(-108)? 180 Let r be (-2)/4*-8*(-21)/28. What is the common denominator of 46/33 and 4/r + 20/(-60)? 33 Calculate the common denominator of ((-40)/10 - 13)*2/8 and -15/88. 88 Suppose -x + 7 = -4*q + 4*x, -5*q + 22 = 4*x. Let n be 9 + (3 - -3)/q. Let j = -3 + n. Calculate the least common multiple of j and 11. 99 Let c = -31727/47 - -675. Find the common denominator of (-2*142/(-12))/(-1) and c. 141 Let t = 54373/9 - 6033. Calculate the common denominator of t and -95/18. 18 Let n(z) = z**2 + 11*z - 15. Let f be n(-12). Let c be -2 + ((-60)/f)/2. Suppose -2*d + 0*o = -3*o, -2*o = -c. What is the smallest common multiple of 8 and d? 24 Let p = 258 - 214. What is the smallest common multiple of p and 28? 308 Find the common denominator of -11/306 and (-69)/(-18) - 2/9. 306 Let o(i) = -i**3 - 10*i**2 + 12*i + 8. Let w be o(-11). Let f = 4525 - 36153/8. What is the common denominator of f and w + -3*20/28? 56 Let h be 11/(62/(-220) + (-4)/(-22)). Let q = -1433/12 - h. Calculate the common denominator of q and -47/20. 60 Let a = -69 - -269. What is the smallest common multiple of 22 and a? 2200 Let f = -10785 + 17439346/1617. Let q = -143911/3234 - f. What is the common denominator of q and 2/(-20)*(-435)/(-58)? 4 Suppose -5*r + 3*w + 133 = 0, 136*r - 4*w + 100 = 140*r. What is the lowest common multiple of r and 66? 858 Suppose 5*p = 2*o + 313, -o - 187 = -2*p - p. Suppose -11 = 3*s + p. Calculate the lowest common multiple of s/36 - (-23)/3 and 7. 7 Suppose -2*n - n + 5499 = 0. Let q = -155803/85 + n. Let s = q - -6272/765. Find the common denominator of 15 and s. 9 Let t be (-52664)/32 - (1 - (-6)/(-8)). Let i = t + 23055/14. Calculate the common denominator of i and 131/18. 126 What is the smallest common multiple of 130 and (-86)/(-21) + 4/(-4
{ "pile_set_name": "DM Mathematics" }
positive. x**(-5135/12) Simplify (((r*r*r**(-5)*r/(r/((r*r**(2/3)*r)/r))*r)**(-9))**(7/3))**(-9) assuming r is positive. r**(-63) Simplify x*((x/((x*x/(x*x**32))/x*x*x))/x)/x*x*x**(14/11)*((x*x*x**(11/4)*x)/x)/(x/(x**38/x)*x) assuming x is positive. x**(3169/44) Simplify ((((q/(q*q**(-2/9))*q*q)/q)**(2/59)/(q**(-10)*q*q*q/((q/(q*q**(1/9)))/q)))**(4/7))**(2/19) assuming q is positive. q**(25192/70623) Simplify ((y**6*y*y**(-1/2))/(y*(y*y/(y/(y**(-2/7)*y)*y)*y)/y*y*y*y/y**5))/((y**5)**(-21))**(-7/8) assuming y is positive. y**(-4765/56) Simplify (m/m**(-1)*m**(-2)*(m/m**(-2))/m*m**(-3)/m)/(m*m/(m*m**5)*m**(-1))**(4/3) assuming m is positive. m**(14/3) Simplify (y**(2/3)/y)/y*y**(1/4)/y*(y*y/y**(-2/3))**(-9)*(y**4/((y/((y/y**(-6))/y*y))/y))/(((y/(y**(-2/11)/y))/y)/((y*(y**6*y*y)/y)/y)) assuming y is positive. y**(-1223/132) Simplify (((x/x**5*x/((x*(x*x/x**(-2/15))/x*x)/x))/(x**(-6)/(x/(x/(x/(x/((x/((x**(-3)*x)/x))/x))*x)))))**(1/37))**24 assuming x is positive. x**(584/185) Simplify ((((d/(d/d**(-3)*d))/d)/d)**(1/19)/(d/d**(1/8))**(-2/17))**(1/2) assuming d is positive. d**(-275/2584) Simplify (r**(2/13)/(r**(2/3)*r))**(-3/7)*((r**(2/9)/r)/r*r)**(-16)/(r*r*r/r**(1/4)*r*r/r**(-1/2)) assuming r is positive. r**(25693/3276) Simplify ((h**(9/2)*h)**(5/3)*((h*h**(2/7))/h)**(-7/3))**(-2/87) assuming h is positive. h**(-17/87) Simplify ((p**(1/3)/p)**(-8/5))**20*((p*p*p*p**1/p)**49)**(-2/23) assuming p is positive. p**(590/69) Simplify (((t*t**(-4))/t)**14/(t**(-2/11))**(-19))**(-27/2) assuming t is positive. t**(8829/11) Simplify ((a/a**(-4))**8)**(-1/24)*(a/a**(-8))/a*(a**(-1/12)/a)/a*(((a/a**(-1)*a)/a)/a)**(-3/8) assuming a is positive. a**(31/8) Simplify (((u/u**(-1))/((u*u**(-1/4)*u)/u)*(u*u*u/(u/u**(2/11)*u)*u)/(u*u**0*u))**(-9/2))**(22/5) assuming u is positive. u**(-567/20) Simplify (l**(-2))**(-16)*l/l**(-3/8)*l*l*(l*l*l/(l*l/l**(1/7)*l)*l)/l*l*((l*l/l**(2/5))/l*l/(l*l**(-2)/l*l*l*l)*l)**(2/87) assuming l is positive. l**(890471/24360) Simplify ((p**2)**(-2/23)*p**(5/3)/(p*(p**1/p)/p))/(p**(-7)/(p*p**(1/2)))**46 assuming p is positive. p**(27082/69) Simplify ((a**(2/31)/(a/(a**(2/61)/a)))/((((a**8*a)/a)/a)/a)**7)**(-34) assuming a is positive. a**(2822680/1891) Simplify (i**(-5)/(i/((i*i**(4/7))/i))*i/i**(-1)*i**(-3)*i)/(i**2*i/((((i/(i**(-1/5)*i))/i*i)/i)/i))**(2/11) assuming i is positive. i**(-2426/385) Simplify (((((g**(5/8)*g)/g)/g**(-14))**(-15/8))**9)**(12/13) assuming g is positive. g**(-3645/16) Simplify ((n**(2/11)/n)**8/(((n/(n*(n/(n/(n/n**(2/75)))*n)/n))/n*n)/n)**(-21/2))**16 assuming n is positive. n**(-119968/275) Simplify ((v/(v**(-1/3)*v)*v)**(-2/15)/((v**5/v)/v**(-1/25)))**(1/4) assuming v is positive. v**(-949/900) Simplify (b**(5/4)*b**(1/11))/(b**(-1/10)/(b**(-1)/b))*(b*b/(((b*(b/(b*b**(-2/17))*b)/b*b)/b)/b))/b**(4/3)*b**2*b*b**(-5) assuming b is positive. b**(-22553/11220) Simplify (w**(-1)/(w*w*w**(-8)))/(w*w**(2/3)/w)**47*(w/(w/(w/(w/(w/(w**(-10)/w)))))*w**(-8/7))**(-3/4) assuming w is positive. w**(-724/21) Simplify ((i**(-5/7)*i**(-9))/(((i/i**(2/51))/i)/i**(6/11)))**(2/15) assuming i is positive. i**(-71704/58905) Simplify ((c**(-4))**0*(c/(c/c**(-5)))/(c/c**20))**(32/5) assuming c is positive. c**(448/5) Simplify (m**(-1)/(m/m**(3/10)))/((m*((m**(-2/5)/m)/m)/m)/(m*m*m*m/m**7))*(m**(-5)*m**(-3/5))/(m**(-1/2)*m)**(-7) assuming m is positive. m**(-22/5) Simplify (y**14/y*y*(y/y**7*y)/y*y*(y*y*y**(-1/14))/(y/y**(-2/87)))**(-47) assuming y is positive. y**(-567055/1218) Simplify ((v/(v*v*v**(-6)*v))**(4/9)*(v**(-16)*v)/(v**0*v*v))**(1/5) assuming v is positive. v**(-137/45) Simplify (((((k*k**13*k)/k)**(-14))**(1/6))**50)**(-49) assuming k is positive. k**(240100/3) Simplify p**6*(p/(p*p**(1/2)*p*p*p))/p*(p/p**(-1))**(-15/8)*((p*(p*p/(p**1/p))/p)/p*p/p**(-2/13)*p*p)**4 assuming p is positive. p**(747/52) Simplify (((u**(-1/8)*u*u**(2/11))**39)**30)**(-29) assuming u is positive. u**(-1577745/44) Simplify (d/d**16*d**(2/7)*d**(4/5)/(d/(((d/d**(-9)*d)/d)/d)))**29 assuming d is positive. d**(-6003/35) Simplify (u**1*u**5)/((u/(u/(u*u**0)))/u**(-1/7))*(u**1*u**(1/4)*u*u*u)**(-1/2) assuming u is positive. u**(153/56) Simplify ((d/d**0)**(12/7)*(d*d/d**(2/51))**(1/37))**27 assuming d is positive. d**(210096/4403) Simplify ((c*c/c**0*c*(((c/(c*c**(1/5)))/c)/c)/c*c)/((c*c/(c**(-5/6)*c))/(c*(c*c*c*c**(1/3))/c)))/((c/c**0)**(-28)/(c**1*c**(-1))) assuming c is positive. c**(303/10) Simplify (((l**(-14)*l*l**(-5))/(l**(-4))**(-11/8))**(-22/3))**(-6/13) assuming l is positive. l**(-1034/13) Simplify (((h**(-3/14)/h)/h)/h)**(-42)*(h**(-24)*h)**(-2) assuming h is positive. h**181 Simplify u**(1/2)/(u**(-1)*u)*((u*((u**1*u)/u)/u)/u)/u**(-6)*((u/u**(-1))**(-2/13))**(-15/2) assuming u is positive. u**(229/26) Simplify (d*d**(-19)/d*d**(-10/7))/(d**(-11/5)/d)**(-6/19) assuming d is positive. d**(-14257/665) Simplify (g**(1/2)*((g/(g*g*g**6))/g)/g)/(g**0*g*g**(2/5))*(g**(-1)*g)**34*g**(-7)/((g/(g/(g**(-1/5)*g)*g))/g) assuming g is positive. g**(-157/10) Simplify (v**(4/7)/v*v*v*v**(7/4))**3/((v/(v**(-2)/v)*v*v*v/(v*v*v**(-7)/v*v)*v)/(v**3*v*v/v**(-1))) assuming v is positive. v**(83/28) Simplify ((j**16*j**(1/8))/(j/j**(-1/11))**(1/6))**(-1) assuming j is positive. j**(-1403/88) Simplify ((((b/b**16)/b*b*b**(2/35)*b)**(-2))**15)**(-3/8) assuming b is positive. b**(-1098/7) Simplify ((f**(-1/2)*f/(f/(f*f**(3/7)))*f)/(f*f**(-1/3)*f**28))**38 assuming f is positive. f**(-21337/21) Simplify (((p**(-1)/p)/p)**(-7/9)*(p**(2/3)/p)**27)/((p**2)**48)**(-8) assuming p is positive. p**(2284/3) Simplify (h**(13/5)/h)**16/((h*h/(h**(10/7)*h))/h*h*h*h**(1/15)*h*h) assuming h is positive. h**(2411/105) Simplify ((x*x**(4/21)/x)/x)**(4/17)/(x**(2/37)*x**(2/13)) assuming x is positive. x**(-4024/10101) Simplify (o**(-16/5)*o**(-42)*o)/(o*o**(-40/9))**(2/77) assuming o is positive. o**(-152843/3465) Simplify (n*n*n*n**6*n/((n/(n*n/(n*n**(-2/13)*n)))/n))**(10/3)/((n*(n/(n*n/n**5*n))/n*n)/(n/(n/n**(-1/3))))**(12/11) assuming n is positive. n**(4164/143) Simplify (g**(2/5))**(-1/20)*(g/g**2)**(-22)*g**8/g*g**7*(g**(2/5)/g)**(1/45) assuming g is positive. g**(1079/30) Simplify ((((r**(3/4))**46)**28)**(-15))**(-4/17) assuming r is positive. r**(57960/17) Simplify (o**(-3/2)*o)/(o*o/(o/(o/(o/o**(-5/2)))))*(o/o**(-5))/(o/(o/(o**(2/5)*o)))*((o*o**1)/o)**(11/6)*(o*o*o**(1/6))/(o/o**(-9)*o) assuming o is positive. o**(-7/5) Simplify ((b**(-7)*b**(-3))/(b*b/(b/(b**1*b)))**23)/((b**1)**(-1/68)*b**(-1)/(b*b**1/b)) assuming b is positive. b**(-5235/68) Simplify ((u/((u/(u*u**4))/u))**12/(u**8)**(1/16))**(-1/29) assuming u is positive. u**(-143/58) Simplify ((c*(c*c/(c*c*c**(2/9)))/c)/((c**(1/4)*c)/c))**(8/11)/((c/(c/c**(1/4)*c)*c**(1/9))/(c*c**(-2/21)*c*c**(-1))) assuming c is positive. c**(1109/924) Simplify (((r/((((r*r*r**(-11)*r)/r)/r)/r))/r)/(r*((r/(r**(-11)/r))/r)/r)*r**(-3)*r**(-11/2)/r)**(-4) assuming r is positive. r**42 Simplify (l/((l/(l*((l**(-1/7)*l)/l)/l))/l)*l**13*l*(l**(-29)/l)/((l*l**(-16))/l))**(-22/9) assuming l is positive. l**(-44/21) Simplify (((i**(4/7)*i**(-2/7))/(((i/((i/i**(-7))/i*i))/i*i)/i**(-2/7)))**(2/11))**(-3/44) assuming i is positive. i**(-21/242) Simplify ((r*r**3*r**(2/9)/r)/(((r/((r/r**(-3))/r))/r)/r*r**3))/((r**1)**(-49/4)*(r**(-6)*r)/(r**(-1/5)*r*r)) assuming r is positive. r**(4189/180) Simplify (((((f*f/(f/(f*f*f**(-2/15)))*f)/f)/((f*f/(f**(-12)/f))/f))/((f/f**5)/f)**3)**(1/4))**(1/2) assuming f is positive. f**(29/60) Simplify (v**(-1)/v*v)**(-32)*(v*v**6)/v**2*((v*v**(-7/3))/v*((v/((((v*(v/(v/v**4))/v)/v)/v)/v))/v)/v)**(2/31) assuming v is positive. v**(3415/93) Simplify ((i/i**(-7))/i**(-3)*(i**2)**(-9/2))/(i**(4/13)/i*i**(6/5)*i)**(-1/4) assuming i is positive. i**(309/130) Simplify (f**6*f**5*(f*f*f**1*f)**(-3/47))/(f**5/(f**(4/5)*f*f)*(((f*f/f**7*f)/f)/f)/f**(4/9)) assuming f is positive. f**(31702/2115) Simplify (((c/(c*(c**(-4)/c)/c*c))/c**(1/2)*(c*c**(2/3))**(-31))**(-28))**32 assuming c is positive. c**(126784/3) Simplify (h/(h**19/h))/(h*h/h**(-4/7))*h**(-19/5)*h*h**1 assuming h is positive. h**(-748/35) Simplify i**(-18)/i**(1/22)*i**10/i**2 assuming i is positive. i**(-221/22) Simplify ((r**(-22))**(1/12)/((r/(r/(r/r**(-16)*r*r)))/r*r*r**(1/5)))**16 assuming r is positive. r**(-5048/15) Simplify (n**(1/4)/n)**(-2
{ "pile_set_name": "DM Mathematics" }
y**3 + 26*y**3 - 7*y**3 - 9*y**3 in the form m + c*y**2 + i*y**3 + q*y and give q. 1 Rearrange (0 - 1 + 2)*(-20 - 14*c**2 + 20) to the form b*c + s*c**2 + u and give s. -14 Express 0*g**3 - 7*g**2 - g**2 + 2 + 6*g**2 - g**3 + g in the form y*g + s + v*g**2 + l*g**3 and give l. -1 Express a**3 + 179*a + 10 - 179*a in the form m*a**3 + o*a**2 + b + t*a and give o. 0 Express (3 - 8*s + 14*s - 9)*(3*s - 6*s + 0*s) as n*s + l + x*s**2 and give x. -18 Rearrange (3 - 5*n - 3)*(92 + 27*n**3 - 92) to the form p*n + x + l*n**2 + h*n**3 + t*n**4 and give t. -135 Express z**3 + z**3 + z**3 + (-6*z**2 - 7*z**2 - 7*z**2)*(2*z + 0*z - z) in the form l*z + s + x*z**3 + f*z**2 and give x. -17 Rearrange -40*j - 21*j - 3*j to the form l + f*j and give f. -64 Rearrange (-7 - 1 + 6)*(2 - 2 + x**3)*(5 - 1 - 2)*(-17 + 6 + 4) to w*x**2 + o + b*x**3 + y*x and give b. 28 Rearrange 130*r - 7 + 17 - 8 to the form a*r + x and give a. 130 Express 2*w**3 - 5*w + 2 + 0 + 0 - w in the form b*w**3 + g*w + k*w**2 + m and give b. 2 Express -2*w**3 + 2 + 2*w**2 - 4 + 9*w + 3 - 33*w in the form m*w**2 + i*w**3 + f*w + p and give m. 2 Express 2*c**4 - 2*c**2 + 0*c**2 + 20*c**3 - 9*c**3 - 10*c**3 + c in the form a*c + q*c**4 + g*c**3 + m + i*c**2 and give a. 1 Rearrange (-3*p**2 - 2*p**4 + 0*p**4 + 6*p**2)*(1 + 0 - 3) to the form a*p + k*p**4 + u + c*p**3 + t*p**2 and give k. 4 Express -15*y**2 + 61 - 120 + 59 as a + q*y + j*y**2 and give j. -15 Express 16*x**2 - 13*x**2 + 4*x**2 + 7*x**2 as u*x + s + n*x**2 and give n. 14 Rearrange 5*g**3 + 12*g + 6*g - 17*g - g**3 to the form u + j*g**2 + s*g + h*g**3 and give h. 4 Express 3*p**2 - 2 - 1 - 2 + 0 as z + d*p + q*p**2 and give z. -5 Rearrange -4*k**3 + 3*k**3 - 6 + 11 + k**4 + 1 - k**2 to i*k**3 + w*k**4 + z*k + n*k**2 + s and give w. 1 Rearrange (0*p + 0*p - p)*(p - p + 3*p)*(-23 + 42 - 22) to the form l + s*p**2 + r*p and give s. 9 Rearrange -32*w - w**3 + 1 + 15*w + 10*w**2 + 16*w to g*w**2 + d + x*w + o*w**3 and give g. 10 Rearrange 41*c + c**3 - 42*c + 11*c**4 - 4*c - c**2 to s + q*c**3 + i*c**4 + d*c + j*c**2 and give q. 1 Rearrange -3*u - 9*u - u + 3*u to o + i*u and give i. -10 Rearrange 3*u + 4*u - u to y*u + l and give y. 6 Express -308 + 308 + 13*i**2 as x*i**2 + u*i + r and give u. 0 Express 8*h + h**2 - 2*h + h + h**3 + 13 - 4*h as j*h + f*h**3 + n + y*h**2 and give n. 13 Rearrange -3*c**3 + 15*c**3 - 2*c**3 + (-3*c**3 + 0*c + 0*c)*(-2 - 2 + 3) to the form x*c**3 + o*c + b + p*c**2 and give x. 13 Rearrange -a - 4*a - 7*a to the form w + z*a and give z. -12 Rearrange 6*r + 3*r + 8*r to the form c*r + v and give c. 17 Rearrange 44*k + 46*k - 2*k - 9*k to o*k + g and give o. 79 Express 3*a**3 - 68*a + 4 - 69*a + 135*a as l*a + f*a**3 + n*a**2 + y and give f. 3 Rearrange -6*n**4 - 2*n**3 - n + 18 + 11 - 25 to y + d*n**2 + q*n**3 + k*n**4 + b*n and give k. -6 Express 2*r**2 - 2*r**2 + r**4 + (3*r - 3*r + 5*r)*(-3*r + 3*r + r**3) in the form z*r + v*r**2 + y*r**3 + x*r**4 + n and give n. 0 Rearrange (-s + 0*s - s)*(10 + 1 + 1) to p + w*s and give w. -24 Rearrange (30 - 30 - 7*u)*(5*u + 2*u + 5*u) to g + k*u**2 + w*u and give k. -84 Express (-73*x + 39*x + 33*x + 33)*(-4 + 1 + 1) as c*x + n and give n. -66 Rearrange (4*k + 3*k - 3*k)*(3 - 5 - 4)*(7 - 2 + 0)*(k + 3 - 3)*(4 - 2 + 0) to the form u + g*k + h*k**2 and give h. -240 Express 2*d**2 + 13*d - 600 + 18*d + 600 as a + j*d + u*d**2 and give j. 31 Rearrange (-8*a**2 - 2*a**2 - 6*a**2)*(0 + 0 - 2*a)*(-2 + 2*a + 2) to the form b*a**2 + p + q*a**4 + k*a + u*a**3 and give q. 64 Rearrange 52*o + 23*o + 40*o - 21*o to the form r*o + y and give r. 94 Express 2 + 3 - 4 + 8*p**2 + 0*p**2 as h*p**2 + g*p + l and give h. 8 Express -3*a + 3*a - a + (-3 - 2 + 3)*(-3*a - a + 5*a) - 2 - a + 2 + 17*a - 41*a + 13*a as w + r*a and give r. -15 Rearrange (16 + 4*h - 16)*(-4*h + 5*h + h) + 14*h**2 - 2*h**2 - h**2 to the form m*h**2 + a + b*h and give m. 19 Express 544 - 544 - 6*k**2 as a*k**2 + g*k + b and give a. -6 Express (0 + 0 - g)*(5*g - 2*g + 2*g) + (-2*g + 0*g + 5*g)*(-g + 4*g - 2*g) as l + s*g**2 + u*g and give s. -2 Express 3*j + 10*j + 0*j + 3*j as k + l*j and give l. 16 Express h**4 - 19 + 19 - 2*h**3 - 4*h**2 as s*h**3 + f*h**4 + q + n*h**2 + w*h and give w. 0 Express 15*y + 40*y - 11*y in the form s + l*y and give l. 44 Express -5*v**3 + 506*v**2 - 1 + 3 - 505*v**2 as o*v + u + y*v**2 + j*v**3 and give u. 2 Rearrange 4*a + 6*a - 21*a to w*a + r and give w. -11 Express (-3*d - 1 + d**4 + 2*d**3 - 2*d**3)*((0 + 6 - 4)*(-3 + 2 + 0) + 5 - 2 - 1 - 2 - 1 + 1) as a*d**2 + t + l*d + z*d**3 + n*d**4 and give t. 2 Express (22*o - 11*o + 2*o)*(3 - 3 - 3*o + 1) as p + k*o**2 + m*o and give k. -39 Rearrange (-6*z + 4*z + 4*z)*(0*z + 3*z - 6*z)*(4 + 1 - 4) to the form f + w*z + d*z**2 and give d. -6 Express -18*b**2 + 12*b**2 - 6*b**3 + 7*b**2 as g*b**2 + u + k*b**3 + f*b and give g. 1 Express -7 + 5 + 2 - 68*y as x*y + s and give x. -68 Rearrange 3*v - 5*v + 0*v + 3*v to the form c + x*v and give c. 0 Express (-10 - 6*m + 23 - 16)*(m + 0*m + 0*m) in the form x*m**2 + s*m + f and give x. -6 Rearrange -q - 44 + 7*q**2 + 44 to l*q**2 + t + j*q and give l. 7 Rearrange ((-2*w + w + 2*w)*(w + 0*w + w) + 9*w**2 - 11*w**2 + 17*w**2)*(6*w - 5*w - 2*w + w**2) to n*w**4 + d*w + r + t*w**3 + k*w**2 and give n. 17 Express 2*r + r**3 - 2*r - 2*r**3 + 0*r**3 - r**3 - 2*r**2 + 3*r**3 + 2*r**2 + (0 + 2*r**3 + 0)*(-1 - 1 + 1) in the form v + y*r + x*r**2 + q*r**3 and give q. -1 Rearrange (-l + 4*l - l)*(-3 + 2 - 2)*(-6*l + l + l)*(-4 + 1 + 4) to the form d*l + v + x*l**2 and give v. 0 Rearrange a**2 - 3 + a**2 + 2*a**4 + 6 - 2 to k + w*a**2 + g*a + y*a**3 + h*a**4 and give h. 2 Express -14*j**2 + 33*j**2 - 13*j**2 as x + l*j + h*j**2 and give h. 6 Rearrange -45*c - 4*c - 9*c to the form x + m*c and give m. -58 Express (-2*g + 3*g - 2*g)*(2 - 2 + g**2) - 1474*g**3 + 1472*g**3 + 8 + 0 as y*g + k + f*g**2 + v*g**3 and give k. 8 Rearrange 4*m - m**2 - 2*m + 0*m to the form b*m + v*m**2 + z and give v. -1 Express -4*i**4 - 81 - 2*i + 2*i**3 + 81 in the form l*i + t + f*i**2 + b*i**4 + d*i**3 and give b. -4 Rearrange -4 - n**3 + 1 - 4*n + 1 + 6*n to the form q*n + x*n**2 + k + t*n**3 and give k. -2 Rearrange (-1 + 3 + 0)*(-1 - 1 + 0)*(-c + 3*c - 4*c)*(-39 - 28 + 264) to the form d*c + j and give d. 1576 Express 0*w**4 - w**4 + 3*w**4 + (-3 + 2*w**2 + 3)*(-2*w**2 - 1 + 1) + (-27 + 27 + 10*w)*(-3*w + 3*w**3 + 3*w) as q*w**3 + i*w**2 + l + m*w**4 + g*w and give m. 28 Express s**4 - 6*s + 3*s**2 + 8*s**3 + 0*s**2 - 2*s**2 - 5*s**3 as i*s + o + d*s**2 + w*s**3 + j*s**4 and give w. 3 Rearrange 973 - 973 - 12*x**2 to j + l*x**2 + g*x and give l. -12 Rearrange -2 + 2 - 3*r**3 + (2*r**2 + 3 - 3)*(1 + r - 1) + 2*r**3 + 2*r**2 - 2*r**2 + r**2 - r**2 - 2*r**3 to j*r**2 + x*r**3 + n + v*r and give x. -1 Rearrange 21 + 150*t**2 + 2*t - 60 - 148*t**2 - 2*t**4 to the form k + l*t**4 + g*t + z*t**3 + p*t**2 and give k. -39 Express -3*l**2 + 0*l**2 + 3*l**2 - 2*l**3 + 1 - l**2 as i*l**3 + y*l**2 + j*l + h and give i. -2 Express -m**3 + 4*m**3 + 107*m**2 - 121*m**2 in the form o*m**2 + a*m + q + t*m**3 and give t. 3 Express -3 + 15 + 2*q**4 + q - 3*q**4 as u*q + r + z*q**4 + l*q**2 + x*q**3 and give z. -1 Rearrange (y**3 + 4*y**3 - 6*y**3)*(4 + 3 - 6) + (-3*y**3 + 4*y**3 - 2*y**3)*(1 + 4 - 4) to the form u + n*y**2 + v*y**3 + f*y and give v. -2 Express 44*u - 48 + 48 as h + i*u and give i. 44 Express 1 - 5 - 4 + 4 + 12*a in the form d*a + h and give h. -4 Rearrange -42*d - 325 + 325 + 11*d to the form k + f*d and give f. -31 Rearrange -6*u - 2 + 2 + 22*u to f*u + n and give f. 16 Express n - 3*n - 38 - 34 + 28 as l*n + k and give k. -44 Rearrange (-3 + 2 - 1 + (2 - 2 - 1)*(2 - 4 + 3) + (1 + 0 - 2)*(-2 + 3 - 2))*(-4*g**2 + 3*g - 3*g) to s + m*g + l*g**2 and give l. 8 Express 13*i - i**3 + 0*i**3 - 14*i + (2*i + 4*i - 5*i)*(7*i**2 - 3*i**2 - 2*i**2) as n*i**3 + j*i**2 + m*i + y and give m. -1 Express 8*z - 2 + 0 - 266*z**3 + 265*z**3 as q*z + u + l*z**3 + k*z**2 and give u. -2 Rearrange -10 + 23 - 13 + 2*x to the form o + l*x and give l. 2 Rearrange 2*j + 2*j**3 + j**3 - 4*j**3 to l*j + y*j**3 + d + m*j**2 and give y. -1 Express (-21*r - 183 + 183)*(5 - 1 - 1) in the form p + q*r and give p. 0 Rearrange 15*x + 3*x**2 - 6 + 5 - 14*x t
{ "pile_set_name": "DM Mathematics" }
505400 What is -1586349 rounded to the nearest one thousand? -1586000 Round 1.195872 to two decimal places. 1.2 Round -0.000013954 to five dps. -0.00001 What is -5822240 rounded to the nearest ten thousand? -5820000 What is -19062.912 rounded to the nearest one thousand? -19000 What is -0.00073232 rounded to four dps? -0.0007 Round -8332.73 to the nearest one hundred. -8300 Round 0.00016005467 to five dps. 0.00016 What is 396788.8 rounded to the nearest 1000? 397000 Round -279.977 to the nearest 10. -280 What is -12798 rounded to the nearest 1000? -13000 Round -434.8498 to the nearest 10. -430 What is 0.000006521862 rounded to seven decimal places? 0.0000065 Round 0.0001508144 to 4 dps. 0.0002 Round -9.74528 to one dp. -9.7 What is -0.037989 rounded to two decimal places? -0.04 Round 16215000 to the nearest one million. 16000000 What is 221.494 rounded to the nearest 10? 220 What is 27962700 rounded to the nearest one million? 28000000 Round 0.000002445742 to 7 decimal places. 0.0000024 Round -0.0061024752 to 4 decimal places. -0.0061 Round 0.5000234 to three dps. 0.5 Round 15514.567 to the nearest one thousand. 16000 Round -433.32705 to the nearest ten. -430 What is 8.40147 rounded to the nearest 10? 10 Round 31.768 to 0 dps. 32 What is -0.04955261 rounded to two dps? -0.05 What is -0.0035772293 rounded to five decimal places? -0.00358 Round 104589.63 to the nearest one hundred. 104600 Round 269.0417 to the nearest 10. 270 Round -3.085872 to 2 decimal places. -3.09 Round 41.3406 to 1 decimal place. 41.3 Round 0.00015581934 to seven decimal places. 0.0001558 Round -99.4242 to the nearest integer. -99 What is -0.0995003 rounded to 3 dps? -0.1 Round -6760801 to the nearest ten thousand. -6760000 What is -1453.7081 rounded to zero decimal places? -1454 What is 2955.207 rounded to the nearest ten? 2960 Round -41.828785 to 2 dps. -41.83 Round 9.25137 to 1 decimal place. 9.3 What is -0.0023339776 rounded to 4 decimal places? -0.0023 Round -18578421 to the nearest ten thousand. -18580000 What is 0.00001377059 rounded to seven dps? 0.0000138 What is 2056.11 rounded to the nearest 1000? 2000 Round -224.7041 to the nearest 100. -200 What is 443298200 rounded to the nearest one million? 443000000 What is 76487630 rounded to the nearest 10000? 76490000 Round -136.2302 to the nearest 10. -140 Round -0.58009137 to 3 dps. -0.58 Round -2852900.1 to the nearest 100000. -2900000 What is 0.0000018451417 rounded to seven decimal places? 0.0000018 What is 0.0974692 rounded to one dp? 0.1 What is -6.22429 rounded to zero decimal places? -6 Round -0.00077733 to 6 decimal places. -0.000777 Round 0.00001290107 to 6 dps. 0.000013 What is 1890.09 rounded to the nearest integer? 1890 What is -3.2123248 rounded to 2 dps? -3.21 What is -45153340 rounded to the nearest 1000000? -45000000 Round -0.0000074938 to 7 dps. -0.0000075 Round 0.0001023351 to 7 decimal places. 0.0001023 What is 0.392267 rounded to 3 dps? 0.392 What is -487.0961 rounded to 1 decimal place? -487.1 Round -0.114489 to 3 dps. -0.114 Round -0.00011898613 to six dps. -0.000119 What is -15373.8 rounded to the nearest 1000? -15000 What is -0.277625 rounded to 3 dps? -0.278 Round 3.844565 to two decimal places. 3.84 What is 9111.88 rounded to the nearest 1000? 9000 Round -85755.79 to the nearest ten thousand. -90000 Round 0.0485476 to three dps. 0.049 Round 109247500 to the nearest one hundred thousand. 109200000 What is -1215214 rounded to the nearest one hundred thousand? -1200000 Round 44700800 to the nearest 100000. 44700000 What is -0.0000796732 rounded to 5 decimal places? -0.00008 Round 0.000610909 to four dps. 0.0006 Round 0.04257926 to 4 dps. 0.0426 What is 28017071 rounded to the nearest 100000? 28000000 Round -0.10551023 to 4 decimal places. -0.1055 Round 0.0307142 to two dps. 0.03 Round -7.9281 to two dps. -7.93 What is 84.7166 rounded to the nearest integer? 85 Round -69938620 to the nearest 10000. -69940000 Round -4572.7816 to the nearest integer. -4573 Round -20794.28 to the nearest 10. -20790 What is 3969.893 rounded to the nearest ten? 3970 Round 62496 to the nearest ten thousand. 60000 What is 0.013949855 rounded to four dps? 0.0139 Round -6213390 to the nearest ten thousand. -6210000 Round -0.0002793848 to 7 decimal places. -0.0002794 What is -0.08382505 rounded to three dps? -0.084 What is -0.11152072 rounded to two dps? -0.11 Round 0.000000972035 to 7 decimal places. 0.000001 What is 29208200 rounded to the nearest 100000? 29200000 What is -2950.3532 rounded to the nearest 100? -3000 Round -0.06775389 to 2 decimal places. -0.07 Round 18.784194 to one dp. 18.8 What is 136612.2 rounded to the nearest one thousand? 137000 Round 0.05141355 to two dps. 0.05 What is 58.7928 rounded to one dp? 58.8 Round 2585.799 to zero dps. 2586 What is -0.0865812 rounded to two dps? -0.09 Round 27.99501 to 1 decimal place. 28 Round 1165668000 to the nearest one million. 1166000000 What is 2287092 rounded to the nearest one thousand? 2287000 What is -0.001096326 rounded to 5 decimal places? -0.0011 What is -0.240533 rounded to 1 decimal place? -0.2 Round -1013686.6 to the nearest one thousand. -1014000 What is 2.3125077 rounded to one decimal place? 2.3 Round 5.87545 to one dp. 5.9 What is 129467.419 rounded to the nearest 100? 129500 Round 389052 to the nearest 1000. 389000 Round 523.387 to zero dps. 523 What is 0.0001869434 rounded to 6 decimal places? 0.000187 What is 12458.096 rounded to the nearest 1000? 12000 What is 1633910 rounded to the nearest one million? 2000000 Round 0.028229 to 3 dps. 0.028 What is -0.0739782 rounded to 4 dps? -0.074 What is 203233990 rounded to the nearest one million? 203000000 What is 1.751507 rounded to three dps? 1.752 Round 11959990 to the nearest 10000. 11960000 What is 0.00004646981 rounded to five decimal places? 0.00005 What is 1.1107699 rounded to 0 dps? 1 Round 0.03966874 to 5 dps. 0.03967 Round -0.00505324 to two decimal places. -0.01 Round 0.0011704885 to seven dps. 0.0011705 Round 0.21787 to 2 dps. 0.22 What is -0.00000326732 rounded to six dps? -0.000003 What is 23619.732 rounded to the nearest one thousand? 24000 Round -55903.183 to the nearest ten thousand. -60000 Round 0.083677714 to 5 decimal places. 0.08368 What is -3.8254739 rounded to two decimal places? -3.83 What is -1300833000 rounded to the nearest one million? -1301000000 What is -4085400 rounded to the nearest 10000? -4090000 Round 0.6808046 to 4 dps. 0.6808 Round 486301.1 to the nearest 100. 486300 Round 2095807.8 to the nearest 10000. 2100000 What is -0.0240292 rounded to four decimal places? -0.024 What is -3.32574 rounded to 2 dps? -3.33 What is 1.1512508 rounded to two decimal places? 1.15 Round -0.005190622 to 4 decimal places. -0.0052 Round 28349.53 to the nearest 10. 28350 Round -0.0171263 to four dps. -0.0171 What is -0.00014534442 rounded to seven dps? -0.0001453 What is -37110290 rounded to the nearest 1000000? -37000000 Round -197711 to the nearest ten thousand. -200000 What is -0.0001643736 rounded to five decimal places? -0.00016 What is 0.194925 rounded to 4 dps? 0.1949 Round 8.350089 to zero dps. 8 What is -785.913 rounded to the nearest ten? -790 Round 1547.9273 to the nearest 100. 1500 What is -345552.1 rounded to the nearest one hundred? -345600 Round 0.00023509753 to seven dps. 0.0002351 What is 499290 rounded to the nearest 10000? 500000 Round 0.00001638626 to five dps. 0.00002 What is -34.06576 rounded to 0 dps? -34 Round -8462.771 to the nearest ten thousand. -10000 What is 582655.6 rounded to the nearest 1000? 583000 Round 301.3651 to the nearest integer. 301 What is 0.0000101702 rounded to 5 dps? 0.00001 Round 14.78046 to 2 decimal places. 14.78 Round 189.0606 to one dp. 189.1 Round 0.0100535 to 3 dps. 0.01 What is 3743010 rounded to the nearest 100000? 3700000 What is -967015 rounded to the nearest one thousand? -967000 What is 51.4356 rounded to the nearest ten? 50 Round -0.0000188988 to 6 decimal places. -0.000019 What is 7299080 rounded to the nearest 1000000? 7000000 Round -0.00001257526 to six decimal places. -0.000013 What is 0.00343235 rounded to four dps? 0.0034 Round -20.351324 to 1 decimal place. -20.4 Round 0.0012754047 to 4 decimal places. 0.0013 What is -0.0
{ "pile_set_name": "DM Mathematics" }
1213684*g**3 + 0*g**2 - 12*g**2 + 3*g to d + l*g**2 + h*g + a*g**3 and give h. 3 Rearrange (-195 - 168 - 5 - 122)*(1 - 4 - 6*z + 5) to s + f*z and give f. 2940 Rearrange (-2 + 5 - 4)*(-902 - 740 - 907)*(2*j - j + 5*j)*(1 - 3 + 1) to the form p + x*j and give x. -15294 Express 9449*h - 1 + 1909*h + 1 + 3889*h as l + i*h and give l. 0 Express 47*j**3 - 439*j**3 + 12 + 15*j**3 - 2*j**2 - 321*j**3 as s*j + k*j**3 + m + h*j**2 and give m. 12 Rearrange (2 - 2 + l)*(2842*l**2 - 1827541 + 1827541)*(-1 + l + 1) to h*l + z*l**4 + v*l**3 + m + g*l**2 and give z. 2842 Rearrange ((-1 - 2 + 4)*(-t - 4*t + 3*t) - 35 - t + 61 + 71 + (0*t - t + 3*t)*(0 + 5 - 3))*(0 + 0 + 6*t) to the form h*t + x*t**2 + f and give x. 6 Express (f**3 + 0*f**3 + 3*f**3)*(-8 + 8 - 7) - 557*f**3 + 7245*f - 7245*f in the form c*f + v*f**3 + y + g*f**2 and give v. -585 Rearrange -29*f - 33*f - 11*f + 41*f + 32 to the form q + r*f and give q. 32 Rearrange 1 - 2*g**2 - 2*g**3 - 1 + 33364*g**4 - 2 - 7*g - 33286*g**4 to b*g**2 + j + u*g**4 + c*g + y*g**3 and give u. 78 Rearrange 1377*z**2 - 67*z + 38*z + 29*z + 486*z**2 to the form i*z**2 + f + l*z and give l. 0 Rearrange 839*w + 773*w - 1392*w to the form f + x*w and give x. 220 Express (201901*a**2 + 2 - 11*a + 39*a - 201902*a**2)*(19*a - 10*a + 15*a) in the form n*a + m + k*a**3 + l*a**2 and give k. -24 Rearrange 1 - 2 + 5*x + 1 + 11*x**2 + 15718*x**3 - 15735*x**3 to the form p*x**2 + j + v*x + u*x**3 and give p. 11 Rearrange (-11*x + 11*x + 10*x + (2 - 3 + 3)*(-3*x + 3*x - 2*x))*(1190*x - 635*x - 372*x) to the form o + k*x + v*x**2 and give v. 1098 Express (-627*g + 61*g**2 - 4 - 52*g**2 + 627*g)*((5 + 1 - 4)*(0 - 3 + 1) - 21 - 61 + 37) in the form v*g**2 + i + w*g and give v. -441 Express -3*k**2 + 2*k**3 + 131352*k - 4*k**3 - 131793*k as u*k**3 + g + z*k + t*k**2 and give z. -441 Rearrange 4*o**3 - 3*o**4 - 4*o**3 + (-3 - 1 + 2)*(-7735*o + 7735*o + 405*o**4) to the form r*o**2 + y*o + k*o**3 + b*o**4 + f and give b. -813 Express (83*y**3 + 128*y**3 + 31*y**3)*(-192*y + 16378 - 16378) as h*y**4 + l*y**3 + i*y + g*y**2 + a and give g. 0 Express 58*z + z**2 + 83*z - 143*z + 473 as a*z**2 + o*z + y and give y. 473 Rearrange 89 - 80 - 6*w**3 + 32*w**2 - 30*w**2 - 2*w to the form g*w**3 + m*w + y + o*w**2 and give g. -6 Express (2936 + 167 - 106)*(w - 2*w + 5*w) as v + x*w and give x. 11988 Rearrange 2*b**3 + b**3 - 2*b**3 + (3*b - 2*b - 3*b)*(-3*b**2 - 3*b**2 + 3*b**2) + 119 - 68 - 53 + 925*b**3 to the form w*b**3 + k*b + a*b**2 + j and give j. -2 Express -42*m**2 + m**3 + 42*m**2 + (1 + m - 1)*(2*m**2 - m**2 - 8*m**2) + 177*m**3 - 578*m + 578*m in the form b*m**3 + q + f*m**2 + x*m and give b. 171 Rearrange 199*b - 93*b - 18*b**2 + 7*b**2 to u*b + d*b**2 + a and give u. 106 Express 4*s - 4*s - s**2 + (-2*s - 2 + 2)*(-s - 1 + 1) - 3991*s**2 + 256034 - 256034 + 0*s + 0*s - s**2 in the form b*s**2 + z + d*s and give b. -3991 Rearrange (30977*g - 9000*g + 31093*g + 40564*g - 6441*g)*(-2*g + 3*g + 0*g) to z*g + n + p*g**2 and give p. 87193 Rearrange (27*t + 5*t - 18*t)*(58 - 5 + 19)*(-3*t**2 + 2*t**2 - t**2) to m*t**3 + l*t**2 + r*t + f and give l. 0 Rearrange (-4*j - 4 - 2*j + 5*j + (-4 + 2 + 4)*(4 - 4 + 2*j))*(-202 - 243*j + 202) - 2*j**2 + 0*j**2 + 3*j**2 to n + u*j + a*j**2 and give u. 972 Rearrange -399*n**2 - 737*n**2 - 5*n + 1405*n**2 to y*n + v*n**2 + x and give v. 269 Rearrange 1825*p + 2*p**2 - 930*p - 1 - 898*p - 26*p**4 to the form u*p + s*p**3 + v + m*p**4 + r*p**2 and give m. -26 Express (7*f + 11*f - 19*f + 48)*((-4 + 4 + 4)*(-2*f - f + 5*f) + 0*f + 3*f + 2*f) as l*f + w*f**2 + a and give w. -13 Express -10919*p + 3 - 3312*p - 11022*p - 3 as z + l*p and give l. -25253 Express p**2 - 2 + 15769*p + 15768*p - 53*p**3 - 31540*p as c*p + y + b*p**3 + v*p**2 and give b. -53 Express (-18*z**2 + 21 - 21)*(-2 + 2 + 1 + (-1 - 2 + 1)*(2 + 5 - 5) + 2 - 3 + 3 + 5 - 5 + 2) + z**2 + 4*z + 0*z**2 - z as a*z**2 + j*z + f and give j. 3 Rearrange -996*s + 18644*s + 1518*s to t + f*s and give t. 0 Express -352*q + 122*q + 1254*q**2 - 1251*q**2 as n + h*q**2 + g*q and give h. 3 Rearrange (-3 + 4 + 1)*(-1 + 0 + 8)*(7*i + 16*i + 16*i) to s + w*i and give w. 546 Express 2641*w + 3204*w + 18 - 18 in the form o*w + n and give o. 5845 Express 1088*n**3 + 358*n**2 + 2 - 1089*n**3 + 82*n**2 + (0*n**3 - 4*n**3 + 2*n**3)*(4 - 5 + 0) in the form y*n**3 + o*n + q*n**2 + c and give q. 440 Rearrange 2*t - t**2 - 1340 - 718 - 1768 + 762 - 442 to r*t**2 + a*t + u and give u. -3506 Express q**3 + 10*q**2 + 4662 - 4662 - 13*q**4 as x*q**3 + v*q**4 + d*q**2 + l + u*q and give d. 10 Express -312*w - w**2 + 28*w + 138*w - 3*w**2 in the form t*w + a*w**2 + p and give a. -4 Rearrange -14729 + 342*b + 14729 + 9*b + 0 + 3 - 5 - 2*b + 2*b - b + (4*b - 4*b + b)*(0 + 0 - 2) + 1 - 2*b - 1 - 2*b + 2*b + b to the form j*b + h and give j. 347 Express ((0*t + 2*t - 5*t)*(42 + 10*t**2 - 42) + 2*t**3 - 2*t**3 + t**3)*(-3 + 10 + 6) in the form h + k*t**2 + m*t**3 + a*t and give m. -377 Rearrange 13*t - 3*t + 7*t + (-4 + 2 + 3)*(t - t - 2*t) + (-2 + 2 + 3*t)*(1 + 4 - 2) to the form i*t + s and give i. 24 Express -3*c + c - 580*c**3 - 1039 - 575*c**3 - 567*c**3 + 1727*c**3 in the form l*c**3 + i*c**2 + v + r*c and give l. 5 Express (243*b**2 + 219*b**2 - 517*b**2)*(35*b - 16*b + 9*b) in the form v*b + d*b**3 + o + p*b**2 and give d. -1540 Express -3*f**2 - 2*f**4 + 10164*f**3 + 10 - 4*f - f + 10170*f**3 - 20334*f**3 in the form h*f**3 + a*f + q*f**4 + y + u*f**2 and give q. -2 Rearrange (-1403 - 731 + 1698)*(2*g**2 - 3 + 3) + (0*g - 2*g**2 + 0*g)*(-1 - 2 + 1) to z*g**2 + w*g + k and give z. -868 Rearrange 15*s - 6*s**2 + 0*s - 56*s + 0*s**2 - 39*s - 2 - 8*s**3 to h*s**2 + f + i*s + b*s**3 and give i. -80 Express (-2*t**2 + 5*t - 5*t)*(-4 + 0 + 2 + (-3 - 11 + 3)*(2 - 2 + 2) + 1 - 1 + 2 + 3 + 3 + 0) in the form k*t**2 + u + v*t and give k. 32 Express 14*z + 0*z + 7*z as r + m*z and give r. 0 Rearrange -21*d**2 + 528*d - d**2 - 382*d to the form k*d**2 + b*d + s and give b. 146 Rearrange -3047 - 3043 + 6187*c**2 + 6092 to i*c**2 + u*c + a and give a. 2 Express (-5605 - 3965 - 5588 - 149)*(-5*q**3 + 3*q**3 + 0*q**3) as l + r*q**2 + z*q + o*q**3 and give o. 30614 Express -75*g - 3 - 8*g - 46*g - 5*g in the form v + i*g and give i. -134 Express 7421 - 27*l - 7421 + 6396*l as u*l + k and give k. 0 Rearrange (-4*y**2 + 6*y**2 - 4*y**2)*(7 - 10 - 1) + ((1 - 1 + 7*y)*(0 + 0 - 1) - 3*y + 0 + 0)*(2*y - y - 2*y) to the form j*y**2 + h*y + o and give j. 18 Express -64*x**2 - 2 + x**4 - 22*x + 42*x - 2*x**3 + 130*x**2 - 55*x**2 as o*x**3 + t*x**2 + j*x**4 + v + b*x and give v. -2 Express 126286*t - 1 + 1 - 128118*t in the form w + b*t and give b. -1832 Rearrange -2986 - l**3 + 3*l**4 - l**4 + 2998 - 2*l - 2*l**2 to the form v*l**2 + y + s*l**3 + i*l + w*l**4 and give y. 12 Express -3*b - b + 18*b + 2*b - 2*b + 2*b + (2 + 2*b - 2)*(-4 + 5 + 0) - 2*b + 3*b + b + (-2 - 4*b + 2)*(-19 + 198 + 221 - 103) in the form v*b + o and give v. -1168 Express -8*z - 9*z + 8*z + (0 + 3 - 1)*(-203*z - 172*z + 48*z) in the form s + r*z and give r. -663 Express (2 + 119 - 28)*(13*p + 2*p - 5*p) as j*p + z and give j. 930 Rearrange (-2*c + 3*c + 0*c)*(4422 + 3089 + 2292 - 13092) to d + l*c and give l. -3289 Express (b + 4*b - 3*b + (2 + 1 - 1)*(-3*b - b + 0*b) + 2*b + 5*b - 5*b)*(-3 + 2 + 3)*(59*b - 27*b + 36*b) in the form k*b**2 + t + s*b and give k. -544 Rearrange -20*j**3 - 6*j - 11*j**2 + 19*j**3 - 7*j - 4*j**2 + 2*j to the form z*j + v + u*j**2 + l*j**3 and give l. -1 Express -4*j**3 + 7145303*j**2 - 3*j - 7145295*j**2 + 87 + 3*j as y*j + m + o*j**2 + z*j**3 and give z. -4 Rearrange 2*p**3 + p**2 - p**2 + (7 + 0 - 1)*(2*p + 3*p - 2*p)*(0*p**2 - 3*p**2 + 5*p**2) to the form t*p**2 + i*p + d + a*p**3 and give i. 0 Express -657556740 - 3*i**2 + 657556740 - 308*i as f*i + b + q*i**2 and give q. -3 Express 2*d**3 - 6*d**2 + 3*d**3 + 351*d**4 - 30*d**2 + 2*d - 4*d**3 + 3 - 350*d**4 in the form n*d**3 + o*d**4 + h*d**2 + l*d + x and give x. 3 Express -42 - 1182*s**3 - 41 + 133 - 50 + 2*s + 5*s**2 as y + w*s**3 + n*s**2 + i*s and give i. 2 Express (-10 + 7*h**2 + 11 - 2)*(1612 - 95*h - 1612) + h**3 + 3*h**3 - 2*h**3 as i*h**3 + w*h**2 + b*h + u and give i. -663 Express (1407*r + 2766*r - 2 - 1465*r)*(1 - 2 + 2) in t
{ "pile_set_name": "DM Mathematics" }
3 (c) -2.7 (d) -0.4 c What is the third biggest value in -2/3, 21/2, -0.04, 0.7? -0.04 What is the second smallest value in 2, -1, -322? -1 What is the fifth smallest value in -1/3, -3, 1/6, -4, 0.238? 0.238 What is the third biggest value in -0.3, -34, -5/3? -34 What is the smallest value in 4, 1/4, 2? 1/4 What is the smallest value in -103, 1, -5? -103 Which is the fourth smallest value? (a) 3 (b) -4 (c) -2 (d) 0.4 (e) -5 d What is the smallest value in 2/7, -524, -4, -2/9, 0? -524 What is the third biggest value in 39, 6, -0.3? -0.3 Which is the third smallest value? (a) -2/15 (b) 0.2 (c) -3 b What is the third smallest value in -0.11, -0.2, 0.35? 0.35 Which is the smallest value? (a) -0.3 (b) 0.02 (c) -8 c What is the second smallest value in 133, -0.02, -5? -0.02 Which is the second smallest value? (a) -5 (b) 15 (c) -4 c Which is the third biggest value? (a) 3 (b) 1/4 (c) -29/4 c What is the third smallest value in 2, 2654, 1/4? 2654 What is the second biggest value in -0.3, 0.1, -966/11, 2/15? 0.1 What is the second biggest value in -0.15, 0.5, -1/6, -0.2? -0.15 Which is the third smallest value? (a) -5 (b) 2/3 (c) -4 (d) 1/8 (e) -1354 c Which is the third smallest value? (a) -0.4 (b) -2/11 (c) 1/7 (d) -3.3 b Which is the second smallest value? (a) -2 (b) 32/17 (c) 0.2 c Which is the fourth biggest value? (a) 1/2 (b) -2 (c) -44 (d) 2 (e) 3 b What is the second smallest value in -2/7, 3/5, -16.7? -2/7 What is the third biggest value in -6, 1, 54? -6 Which is the biggest value? (a) -2.4 (b) -291 (c) 2/3 c What is the second biggest value in -7, 10, -6? -6 Which is the biggest value? (a) 0 (b) 0.5 (c) -0.4 (d) 1 d What is the third smallest value in -32, 0.4, -6? 0.4 What is the second biggest value in -3, -0.2, -1/4, -1821? -1/4 Which is the smallest value? (a) -24 (b) 4 (c) -1/7 a Which is the third smallest value? (a) -0.5 (b) 67 (c) 1 (d) 0 (e) 5 c What is the third biggest value in -2/3, -2/7, -0.5, 5? -0.5 Which is the second smallest value? (a) 14933 (b) 0 (c) 3 c What is the third smallest value in -430, 2/5, -0.5? 2/5 What is the third smallest value in -0.2, -5, 4, 2? 2 Which is the third smallest value? (a) -2 (b) 4 (c) -0.1 b What is the fourth smallest value in 0, -2/21, 2/231, 2/5, 1? 2/5 What is the biggest value in -7, 3, -4/5? 3 What is the fourth smallest value in -92, 0.5, -1, -0.4, 2? 0.5 Which is the smallest value? (a) -0.5 (b) -4 (c) -0.3 (d) 81 (e) -5 e Which is the second biggest value? (a) 0.2 (b) -0.016 (c) 3/5 a What is the second smallest value in -0.5, -5143, 0? -0.5 What is the third biggest value in -1/4, 5, 677? -1/4 What is the fifth smallest value in -49/3, -3, 1/3, 2, -0.5? 2 What is the second smallest value in 1, -19, 0.105? 0.105 Which is the third biggest value? (a) -2 (b) 16 (c) 0 (d) -2/3 d What is the second biggest value in -1.14, -2/7, -2? -1.14 What is the second biggest value in 3/2, 20, 4/7? 3/2 What is the third smallest value in -11, 0, -3, -0.8? -0.8 Which is the second smallest value? (a) -1/4 (b) -3 (c) -1.5 c Which is the fourth biggest value? (a) -0.5 (b) 2.5 (c) 30 (d) -0.2 a Which is the fourth smallest value? (a) 38 (b) -1 (c) -1.3 (d) -2/23 a Which is the fourth biggest value? (a) -2 (b) 1/3 (c) -1/5 (d) 5 (e) -4/19 e Which is the smallest value? (a) 26 (b) 5 (c) 13.2 (d) -2 (e) -0.1 d Which is the biggest value? (a) -5 (b) 0.04 (c) -6/11 (d) 2 d What is the second biggest value in 0.2, -5, 2, -1/8? 0.2 What is the second smallest value in -12/5, 0, -14, 3? -12/5 What is the third smallest value in 0.6, -5, 2/19, 6, 0.3? 0.3 Which is the smallest value? (a) 1/2 (b) 4 (c) -1 (d) 9/13 (e) -4 e What is the smallest value in 1, 0.1, -3, 1/13? -3 Which is the second smallest value? (a) 3 (b) -4 (c) 0.4 (d) -84 b Which is the third biggest value? (a) 0.4 (b) 1 (c) 0.5 (d) -907 a What is the biggest value in -3, -2/1907, -0.2? -2/1907 Which is the fourth biggest value? (a) 4 (b) 5 (c) 5/2 (d) -2/9 d Which is the third smallest value? (a) -2 (b) -0.5 (c) -0.4 (d) -5 b Which is the third biggest value? (a) -3 (b) 0.5 (c) 1/8 (d) 0.4 c What is the third smallest value in -1.9, -0.09, -3? -0.09 Which is the third smallest value? (a) -6 (b) -0.4 (c) -11 b Which is the second biggest value? (a) -3 (b) 4/5 (c) -10 a Which is the third biggest value? (a) 5 (b) -432 (c) 2/9 b Which is the biggest value? (a) -2/3 (b) -424 (c) -3 a Which is the biggest value? (a) -3 (b) 768/7 (c) -0.2 (d) -0.3 b Which is the biggest value? (a) 5 (b) -2/9 (c) -41 a What is the second biggest value in -1/5, -5, -3, 3/4? -1/5 Which is the smallest value? (a) 2/11 (b) -1/6 (c) 2/5 (d) 9 (e) -0.01 b What is the fourth smallest value in -2/9, 0.9, -2/11, -5? 0.9 What is the second smallest value in 3, -34, 2/9, -0.1? -0.1 What is the third biggest value in -2/7, 4/9, -57, -4? -4 Which is the fourth smallest value? (a) -3.9 (b) -1 (c) -7 (d) -1/2 d Which is the fourth smallest value? (a) 3 (b) -9/2 (c) -5 (d) 1/3 (e) -4/7 d What is the second biggest value in -3, -261, 0? -3 Which is the smallest value? (a) -291 (b) 5 (c) -3 a Which is the third biggest value? (a) 10/9 (b) -3 (c) -0.09 (d) 1 c What is the third smallest value in 19, -5, 0.2? 19 Which is the fourth smallest value? (a) 3 (b) 3/4 (c) -1/10 (d) 1/13 a What is the fifth smallest value in 0.2, -3, -0.2, -10, -1.3? 0.2 What is the smallest value in 0.1, -2/7, 0.4, -10? -10 Which is the fourth biggest value? (a) -5/2 (b) -8 (c) -4 (d) 11 (e) 0 c What is the second smallest value in -1/6, 2, -2? -1/6 What is the smallest value in -5, -3, 2/319, 1/3? -5 Which is the second smallest value? (a) -4/3 (b) -116 (c) 0.1 a What is the second smallest value in -5, -12, 1/2, -4? -5 Which is the second biggest value? (a) -0.15 (b) 3 (c) -0.4 a Which is the second biggest value? (a) -4/43 (b) -0.09 (c) 0.8 b What is the second smallest value in -10, -6/11, 0.2? -6/11 What is the biggest value in -0.4, -0.13, 13, -3? 13 Which is the smallest value? (a) 29 (b) -1/4 (c) 4 b What is the smallest value in -1/5, -0.3, -1/3, -2/11, -0.59? -0.59 Which is the third biggest value? (a) -0.04 (b) -4 (c) -1 b Which is the second biggest value? (a) 2/165 (b) 1/6 (c) 0.4 b Which is the biggest value? (a) 0.8 (b) 12 (c) -1/6 b Which is the fourth biggest value? (a) 3/2 (b) -5.7 (c) -3 (d) 4/5 b What is the second biggest value in 135, -2/19, 5? 5 Which is the smallest value? (a) 2/11 (b) 3/77 (c) 0 c What is the third biggest value in -1/4, 0.3, -10? -10 What is the third biggest value in 0.02, 0, 73? 0 Which is the second smallest value? (a) 4 (b) -3 (c) -5.1 b What is the second biggest value in 1, -2, -0.5, -2/35? -2/35 What is the third biggest value in -0.5, 7/11, 6? -0.5 What is the fourth biggest value in 0.1, -0.09, 5, -3/8, -2? -3/8 What is the fourth biggest value in -5, 0.6, -2/3, 4/59? -5 What is the third biggest value in 0.4, 19, 0.1? 0.1 What is the third biggest value in -0.31, -2/21, 0.4, -0.1? -0.1 Which is the second biggest value? (a) -2/7 (b) 0.06 (c) -3/4 (d) -4/7 (e) -1/3 a Which is the third biggest value? (a) -3 (b) -2 (c) 3 (d) 6 b What is the smallest value in 0.4, -22, 4? -22 What is the third smallest value in 6, 3, 4.4, 8? 6 Which is the biggest value? (a) -14 (b) -8/7 (c) -0.1 c Which is the fourth smallest value? (a) 0.4 (b) -1 (c) 4 (d) -0.12 c What is the second smallest value in -2, -0.3, 1/13, 1? -0.3 Which is the second biggest value? (a) -2/15 (b) -1/2 (c) 0.5 (d) 1.21 c What is the biggest value in 0.05, -1/37, 3? 3 What is the biggest value in 1.9, 0, 4? 4 What is the third biggest value in 4, -21, -2/11, -2? -2 What is the fourth biggest value in 6, 1, 0.3, -7, 0.06? 0.06 What is the second smallest value in -4, 0.3, -2, 1/19? -2 Which is the second smallest value? (a) -0.2 (b) -34 (c) -15 c Which is the third biggest value? (a) -2 (b) -0.3 (c) -4/33 (d) 1/10 b What is the second smallest value in 1, -3, -1/5? -1/5 What is the second biggest value in 298, 1/4, -3? 1/4 What is the third biggest value in -2/15, 6/71, -3, -0.2, -
{ "pile_set_name": "DM Mathematics" }
((-3)/(-2) - 0). Put -0.3, f, -0.5 in ascending order. f, -0.5, -0.3 Let m be 3 + (1 - 1 - (53 - 48)). Suppose 6 + 12 = 3*x. Sort -3, m, x, 2. -3, m, 2, x Suppose 2*s = 5*s - 9. Suppose -3 = m + 2*p, 2*m + p + 0 - 6 = 0. Sort -4, s, m. -4, s, m Let i = 1385 - 1381. Sort i, 3, -716, 0. -716, 0, 3, i Suppose 141 = -12*v - 219. Put 2/5, v, 0.8 in decreasing order. 0.8, 2/5, v Let g be (-2)/2*(1 - 0). Let i = 68 - 157. Let l = i + 89.4. Sort l, g, -0.1 in ascending order. g, -0.1, l Let v = 2.5 - 3. Let x = -1.162 + 0.9. Let c = 0.038 - x. Sort 3/5, v, c in descending order. 3/5, c, v Suppose -2*a = -8, -2*a = -3*t + 3*a - 74. Let j(g) = -14*g - 86. Let v be j(-6). Put -3, t, v in descending order. v, -3, t Let z(x) be the second derivative of x**3/6 + 2*x**2 - 3*x. Let u(q) = q**3 - q**2 - 5. Let k be u(0). Let t be z(k). Put t, -3, 3/4 in descending order. 3/4, t, -3 Let k = 8.41 + -8.9. Let g = -0.55 - k. Put -0.5, -0.3, g, -0.4 in increasing order. -0.5, -0.4, -0.3, g Let j = -1 + 19. Suppose 7*n - n = j. Let f = -3 + 1. Put n, -0.4, f in descending order. n, -0.4, f Suppose 4*o + 4 = 32. Suppose -o*k + 10*k = 24. Sort k, -4, 0.4 in decreasing order. k, 0.4, -4 Let q = -921 + 1841/2. Put q, -2, -1/9, 2 in increasing order. -2, q, -1/9, 2 Let i = 13109 + -91240/7. Let t = -75 + i. Put t, 5/6, -10 in descending order. 5/6, t, -10 Let s be (-40)/(-22) - 6/(-33). Suppose -y + 5*t + 33 = 2*y, 0 = s*y - 3*t - 21. Let p(b) = -b + 6. Let v be p(y). Sort -3, v, 3. -3, v, 3 Let g = -191 + 188. Sort 5, g, 1 in increasing order. g, 1, 5 Suppose 1 = -x + 12. Let t = x + -5. Suppose 0 = 4*p - 2*p + t. Sort 2, -5, p in descending order. 2, p, -5 Let u = -623 - -617. Sort 0, 1, 4, u in descending order. 4, 1, 0, u Let n = -0.028 - -3.028. Let t = 0.06 - 5.06. Let m = 49 + -43. Sort n, m, t in descending order. m, n, t Let k(o) = -7*o + 5. Let d be k(-6). Suppose 4*g - 2*g - d = -5*a, 0 = -3*g + 3*a + 39. Suppose 0*m = 4*m - g. Sort m, -5, -1 in decreasing order. m, -1, -5 Suppose -v = -0*d - 2*d + 30, 0 = 2*d + v - 26. Let p be 4/d + (-37)/7. Suppose 11*j = -34*j + 6*j - 156. Put p, 2, j in increasing order. p, j, 2 Let c be (-7)/(-28) - (-126)/8. Suppose -2*o = 3*s - c, -3*s + 25 = 3*o + 7. Let a = -10 + 4. Sort s, -5, a in decreasing order. s, -5, a Let k(m) = -2*m**3 - 3*m**2 - 2*m - 3. Let v be k(-2). Suppose -5*c = 2*p + 3, 3*p + 5*c = c - 8. Sort v, p, -3 in decreasing order. v, -3, p Let f(c) = -c**2 - c. Let i be f(-3). Let x be (-6)/(i*5/(-135)). Let u = 23 + x. Sort 1, 0, u. u, 0, 1 Let d be 1/(-2 - (-4 + 3)). Let p(s) = -4*s - 6. Let j be p(-4). Let c(i) = -i**3 - i**2 - 12*i + 32. Let l be c(2). Sort l, d, j in descending order. j, d, l Let x = 0.37 + 19.63. Let r = 9 - x. Let s = r + 10. Put 0.1, s, -5 in decreasing order. 0.1, s, -5 Suppose 4*u + 3*w + 25 - 3 = 0, -5*w + 10 = -5*u. Suppose -3*r = -3*n + 12, -n + 0*r = -2*r - 4. Put n, -2, -1, u in decreasing order. n, -1, -2, u Let m = 8 + -3. Suppose -4*p - 7*p = 0. Suppose -2*y - 2*y + 44 = p. Sort m, y, 3. 3, m, y Let n = 0.28 + -0.08. Let y = -5.63 + 0.63. Sort 1/3, n, y, 3 in decreasing order. 3, 1/3, n, y Let j = -14.1 - -13.43. Let d = -0.37 - j. Let u = 6 - 7. Sort u, d, -3 in increasing order. -3, u, d Let w = -99 + 186. Suppose -5*q - 4*s + w = 0, -3*q - 14 + 62 = s. Let j be (q/9)/(3/9). Put 3, j, 0.3 in decreasing order. j, 3, 0.3 Let l(k) = -k**3 - 11*k**2 - k - 13. Let x be l(-11). Let s(q) = -q**3 + 5*q**2 + 7*q - 1. Let i be s(6). Sort x, 0, i in increasing order. x, 0, i Let p = -100 + 337. Let r = -1662/7 + p. Let h be (-3)/4 + 2 + -1. Put 3/2, h, r in ascending order. r, h, 3/2 Let k = -143/6 - -23. Sort 0.2, -1/3, 0.3, k in ascending order. k, -1/3, 0.2, 0.3 Suppose i + 7 = 1. Let s be i/10 - 54/(-15). Suppose -x - 4*x = 2*c + 8, -3*c - 12 = -3*x. Sort x, -3, s. -3, x, s Let g be (0 + 2/(-8))/(14/(-28)). Sort g, -0.1, 5, -1 in descending order. 5, g, -0.1, -1 Let n(m) = 2*m + 37. Let d be n(-23). Let w(q) = q**3 + 7*q**2 + 3. Let z be w(-7). Sort z, 2, d in increasing order. d, 2, z Let m(x) = -2*x - 10. Let r be m(-7). Let c be r/40*4*-70. Let d be ((-26)/c - 1)*6. Put -5, d, 0.2 in increasing order. -5, d, 0.2 Let m(n) = -n**3 - 3*n**2 + 2*n + 1. Let u be m(-3). Sort 2, -2, u in decreasing order. 2, -2, u Let f = 0.2 + -0.1. Let b = 7.309 - 6.809. Suppose -2*y = -3*y. Sort y, f, b in ascending order. y, f, b Suppose 5*d = n - 5, 4*n = 3*d + 7*n + 21. Put d, -34, -1/9 in increasing order. -34, d, -1/9 Let n be (-16)/(-28) - (-3)/(-7). Sort n, 0.242, 0.5, -3/8 in increasing order. -3/8, n, 0.242, 0.5 Let z = -469 - -467. Let p = -0.58 - -0.08. Sort 1, 0.2, z, p in ascending order. z, p, 0.2, 1 Let a(d) = 5*d - 3. Let m be a(7). Sort m, -7, -3 in descending order. m, -3, -7 Let b be ((-3 - 0) + 1)/(-8). Suppose -90 + 96 = -2*k. Put -3/5, b, k, 2/5 in increasing order. k, -3/5, b, 2/5 Let x = 133 - 25. Let u = x - 107. Sort 11, -5, u in increasing order. -5, u, 11 Let b = 782 + -781. Let m = 6 - 6.3. Let s(y) = y - 1. Let k be s(3). Put k, m, b in increasing order. m, b, k Suppose -3*p = -2*u - 14, -36 = -5*p + 55*u - 58*u. Put 4, -28, p in descending order. p, 4, -28 Let g = -6569/11 + 597. Let h = 2 - -4. Put h, g, -1 in ascending order. -1, g, h Let u = -5.8 + 9.5. Let y = -7.7 + u. Sort y, -0.1, -3 in decreasing order. -0.1, -3, y Let t = 2.17 - -1.83. Let u = 85/54 + -2/27. Sort u, 2/7, t. 2/7, u, t Let m be (-2 + 20/9)*36/(-24). Let r = 12 + -7. Sort 1, m, r in descending order. r, 1, m Let r be (-32 - -1)/(1 + -2). Let d = r + -27. Suppose 6*b + 2 = 4*b. Sort 3, d, b in ascending order. b, 3, d Let i be (16/2 - 3)*-1. Suppose -30 = -22*j - 96. Sort i, -2, j, 1 in descending order. 1, -2, j, i Let x = 506.91 + -507. Sort -4, x, -7/3. -4, -7/3, x Let a = 23 - 26. Sort a, 0.43, -0.2, 4. a, -0.2, 0.43, 4 Let p = -27 - -11. Let y = -20 - p. Let w = 13 - 9. Put w, y, 1/6 in descending order. w, 1/6, y Let i be 9*(-8)/(-12) + -1. Let c be (5 + 0/1)/(-51 + 50). Put i, -17, c in decreasing order. i, c, -17 Let j = 0.02 + 3.98. Let a = -39.036 - -0.036. Let w = a - -38. Put j, w, 0.5 in ascending order. w, 0.5, j Let n be (-15)/(-10)*-2*(-5)/15. Put 0.7, n, -0.3 in ascending order. -0.3, 0.7, n Let p be ((-110)/(-4))/(-5) + (-2)/(-4). Sort p, -1, 86 in descending order. 86, -1, p Let u be (1 + (-2)/(-8))*4. Suppose -46 = -5*r - 16. Suppose 4*g = -r - 2. Sort u, 1, g in decreasing order. u, 1, g Let v(g) = g + 1. Let k be v(-4). Let t be 21 + -21 + 1 + -5. Sort k, -10, t in descending order. k, t, -10 Let z(u) = u**3 + 6*u**2 - 3. Let b be z(-6). Let d(k) = 3*k - 6. Let n be d(10). Let q be n/132 - 192/814. Sort q, 0.5, b in decreasing order. 0.5, q, b Let f = -2 + 18. Suppose -2*l + f + 2 = -2*a, -2*a - 26 = -4*l. Suppose -x - 2*u = x - 8, -3*x - 5*u + 18 = 0. Put 9, l, x in ascending order. x, l, 9 Let w = 255 + -250. Sort w, -3/8, 1/12 in increasing order. -3/8, 1/12, w Let a = 958/5 - 191. Put a, -53, -5 in decreasing order. a, -5, -53 Let q = -0.219 + -0.051. Let v = q - 0.03. Let m = -713/4 + 178. Sort m, v, 3/2. v, m, 3/2 Let v = -0.12 + -0.08. Sort -2, v, -24. -24, -2, v Let z = -3 + 2.9. Let m(x) = 5*x**3 + 15*x**2 - x - 12. Let k(l) = l**3 + l**2. Let d(a) = 4*k(a) - m(a). Let i be d(-11). Put z, i, -5 in decreasing order. i, z, -5 Suppose -3*m + 29 = n, -4*n - 4 = -4*m + 8. Let a = m - 16. Let g(b) = b**2 + 8*b + 1. Let u be g(a). Put u, -1, -0.5 in decreasing order. u, -0.5, -1 Let o be (24/(-7))/(-6) + (-9)/(-21). Let j = 4.6 + -5. Sort 0.2, o, j in descending order. o, 0.2, j Let s = -917 + 919. Put -4/3, s, 4, 3 in decreasing order. 4, 3, s, -4/3 Let y(h) = -h**2 - 5*h + 2. Let i be y(-6). Let r(t) = -6*t + 3 - 5*t - 20 + t**2. Let v be r(12). Sort v, i, 0 in descending order. 0, i, v Let x(b) = 21*b + 298. Let j be x(-14). Put 2/7, 11, j in ascending order. 2/7, j, 11 Suppose y - 4*i = 28 + 2, 2*i + 90 = 3*y. Let a = -51 - -77. Let b = y - a. Put -2, 3, b in decreasing order. b, 3, -2 Let t(n) = n**3 - 16*n**2 + 64*n - 9. Let i be t(9). Put i, -3, 36 in increasing order. -3, i, 36 Let g = 166 + -168. Let c = -244.06 - -239. Let w = 0.06 + c. Sort -0.4, g, w in decreasing order. -0.4, g, w Let z(b) = 16*b**3 - b**2 + b - 1. Let t be (2*(0 + -1))/(-2). Let n be z
{ "pile_set_name": "DM Mathematics" }
? (a) 2/11 (b) l (c) g b Let w = 0.02 - 0. Which is the closest to w? (a) -3/2 (b) 4 (c) 1/2 c Let n = 4 + -4.05. Let h = 0.05 - n. Let y = -0.2 - 0.3. Which is the closest to 2/9? (a) y (b) 0.4 (c) h c Let y = -7 - -7. What is the closest to 1 in 3/7, 3, y? 3/7 Let o = 107/5 - 1187/55. Let l = 0.7 - 1. Let p be (72/(-39) - -4) + -2. Which is the closest to 0? (a) p (b) l (c) o a Let n(v) = v + 2. Let d be n(-2). Suppose d = 2*t + w + 3, -4*t - 4*w - w = 9. Which is the closest to 1? (a) 5 (b) t (c) -0.1 c Let r be (-2)/5 - (-24)/110. Let v = 1 - -8. Suppose 3*s - 22 = 5*s - 5*i, -i = -5*s - v. Which is the closest to 1? (a) -2 (b) s (c) r c Let s be (0 - 1)/(30/(-18)). Let v be -2 - (2 - 51/12). What is the nearest to -1 in v, s, -0.2? -0.2 Let j = -1.9 + 3.9. What is the closest to -1 in -1, 0.4, j? -1 Let p be 2 + (1 - 2/(-2)). Suppose -5*t = -p*r - 4, -2*t + 2 = -3*r + 6. Which is the nearest to 2? (a) -1 (b) 1 (c) t b Let y = -0.39 + -0.11. Let p = 0 + y. Let w be 2/6*(-18)/6. Which is the nearest to w? (a) 3/2 (b) p (c) 0.1 b Let l = -212/221 - -14/13. Let b = 86.1 + -86. What is the closest to 0 in l, 4, b? b Let b = -76 + 77. What is the nearest to b in 1, -2/5, 4? 1 Let r = 1.5 + -2. Which is the nearest to 1? (a) -1 (b) r (c) -2 b Suppose -3*k = -0*k + 12. Which is the closest to -5? (a) k (b) 2 (c) -0.5 a Let q = 0.16 + -0.26. Which is the nearest to -1/3? (a) q (b) -2/11 (c) -0.5 b Let a(m) = 2*m - 4. Let z(i) = i**2 + 5*i + 7. Let f be z(-4). Let k be a(f). What is the nearest to -0.1 in k, -3, 0? 0 Let d(q) = q**3 + 5*q**2 + 4*q + 4. Let k be d(-4). What is the nearest to -1 in -4, 0, k? 0 Let r = 6 - 14. Let u be ((-3)/r)/((-8)/(-16)). Suppose -2*x + 12 = x. What is the closest to 1 in x, 5, u? u Let d be ((-2)/(-3) - 1)*-3. Let o = 28/55 + -10/11. Which is the closest to d? (a) -3 (b) o (c) 0.1 c Let h be 2 + -1 + 16/(-6). Let y = 2 + h. What is the closest to -1 in y, -3, 4? y Let q = 0.36 - -0.04. Let i = 54/7 - 148/21. Let u = 0 + 0.5. Which is the nearest to 0.1? (a) q (b) u (c) i a Let k = 0 + 0.1. Let q = -9 - -4. Let p = -4.8 - q. What is the closest to k in 0.3, 2/5, p? p Let z = -3.3 + 2.9. Let h = -0.2 + 1.2. Let i = -1 - -4. What is the closest to h in 0, z, i? 0 Let u be 10/(-8)*(2 + -6). Which is the nearest to 0.1? (a) 3/5 (b) u (c) -3 a Let h = -11.7972 + -0.2728. Let c = 0.07 + h. Let l = c - -10. What is the nearest to -2/5 in -0.4, -1, l? -0.4 Suppose -2*s - 3*i - 20 = 0, 0*s + 2*s + i = -16. Let u = s + 6. Let g = -2.12 + 0.12. Which is the closest to u? (a) g (b) -1 (c) 1/5 b Let z be ((-2)/(-3))/((-1)/3). Let g = 1 + -1.4. Let c = g + 0.2. What is the nearest to c in -5, 2, z? z Suppose 0*h + 3*h + 4*y = -5, 3*y - 3 = 0. Which is the closest to 1? (a) h (b) -0.5 (c) 0 c Let z = 0.2 + 0.1. Let a = z + -0.31. Let g = 1.99 - a. What is the closest to -2 in g, 4, 4/5? 4/5 Let r = 62 + -62.3. What is the closest to 1/3 in 8, r, 3? r Let m be 0/4 - (-2)/11. Let x = -5/33 - m. What is the nearest to 2/5 in -5, 3, x? x Let j = -2 + 2.13. Let q = -2.37 - j. Let w = -2 - q. Which is the nearest to 0? (a) -2/9 (b) -5 (c) w a Let x(d) = 2*d + 15. Let o be (20/6)/(8/(-24)). Let z be x(o). Let g = 1 - 3. Which is the nearest to 0? (a) z (b) 1 (c) g b Let g be 0 + 2*(-3)/(-14). Let b = -67/175 + 6/25. What is the nearest to 0.1 in b, g, 5? b Suppose -30 = 5*y - y + 5*w, -4*y + w = 18. What is the nearest to 1/4 in 1, 0, y? 0 Let z = -73 + 68. Which is the closest to -1/12? (a) 1/3 (b) z (c) -0.2 c Let v = 6.8 - 7.3. Which is the closest to 1? (a) v (b) 2/7 (c) 0.3 c Let y = -1 + 1. Let n = -5.8 + 6. Let q = 4.2 - n. What is the closest to y in -3, q, -2? -2 Let p = -1.1 - -0.1. Let u = 4 - 7. Let l be ((-32)/10)/(-2) - 1. Which is the nearest to p? (a) u (b) l (c) -6/11 c Let q = 24.9 - 25. What is the nearest to q in 1/3, 3, -2/3? 1/3 Suppose 5*i - 3 + 13 = 0. Which is the nearest to 0? (a) i (b) 4 (c) -4/7 c Let c(s) = 2*s**3 - 2*s**2 - s + 2. Let o be c(1). What is the nearest to -0.1 in -4, o, 5? o Let f = 10 - 9.56. Let x = 0.5 - f. Let r = x + -0.56. What is the closest to -0.2 in r, -2, -4? r Let k be -2 + 0 + 3 - 0. Let d be (2/(-10))/(6/(-10)). What is the nearest to k in -0.2, 0.4, d? 0.4 Let t = -291/20 - -72/5. What is the closest to -1 in -2/7, 2/7, t? -2/7 Let n be (3/(-1))/((-6)/4). Let w = -1 - -1.02. Let m = 3.02 - w. Which is the closest to -1/3? (a) m (b) n (c) 4 b Suppose 0 = u + 2*u. Let d = -56 + 54. What is the nearest to 1 in u, d, -0.1? u Let r(v) = -v**3 + 9*v**2 + 11*v - 12. Let n be r(10). Let u be -5*(264/(-130) - n). Let t = 0.3 + -0.5. Which is the closest to 0.1? (a) t (b) 0.3 (c) u c Let t = -57.9 - -72. Let w = t - 14. Which is the closest to 0.2? (a) 4 (b) w (c) 2 b Let m = 9 - 5. Let d = m - 3. Let s = 0.23 + 0.17. Which is the nearest to -0.2? (a) -2 (b) s (c) d b Let d be (16/(-6))/(78/27). Let i = 10/39 + d. What is the closest to -2 in i, 1, -1/2? i Let a be ((-12)/16)/(102/(-16)). Let r = 0.4 - 0.4. Let k = 0.1 + r. What is the closest to 1/4 in -1/3, k, a? a Let k = -0.2 + 2.2. Let l = 1 - 3/2. What is the closest to l in k, 5, 1? 1 Let k = 10 + -9.85. Which is the nearest to 1? (a) -3 (b) 4 (c) k c Let l be (-7)/10 + 1/5. Let m = -236/9 + 26. What is the closest to l in -4/9, m, -2? -4/9 Suppose -4*a + 3*k - 29 = 0, -2*a + 2*k - 4*k - 18 = 0. Let d be (1 - -2) + (a - -5). What is the closest to 1 in d, 5, -0.3? d Let l be (-152)/(-312) - (-4)/(-26). Which is the nearest to 0.1? (a) l (b) -5/2 (c) 5 a Let t = 0.34 + 0.06. What is the nearest to 0 in -0.3, t, 5? -0.3 Let v = 0 + -5. Let i = -24 + 29. Let j = -5.1 + i. Which is the closest to j? (a) -1 (b) v (c) 1/4 c Let x = 43 + -42. What is the nearest to 3 in 3/2, x, -1? 3/2 Let w = 4 + -3. Let d = 5.9 - 0.9. What is the closest to w in 2/11, d, 1? 1 Let f = 5 + -6. Let o = -1 - f. What is the nearest to o in 4/9, 2/7, 0? 0 Suppose j = 4*d, 5*j - 2*d + 6*d = 96. Which is the closest to -0.2? (a) -4 (b) -0.3 (c) j b Let t be 3/(-7)*(-28)/8. Let v = 13/6 - t. What is the closest to v in 0.5, -3, -2? 0.5 Let v = -0.84 + -0.16. What is the nearest to 0 in v, 3, 4/9? 4/9 Let s = 3.5 - 3. Let x = 2.3 - s. Let g = -2 + x. What is the closest to 1 in g, 3/4, 2? 3/4 Let o = 16 - 15. Let w = 14.3 - 14. Let f = -2.02 + 0.02. Which is the nearest to o? (a) -0.3 (b) f (c) w c Suppose 2*k - 16 = -14. Let l be (-18)/20 + 6/15. Let q = 2 + 0. What is the nearest to l in k, -1/2, q? -1/2 Let g = 33 - 30. Let m = 0.2 - 2.2. What is the closest to 0 in g, 1, m? 1 Let r = 15.03 - 0.03. Let d = r - 15.2. What is the closest to -0.2 in d, 4, -4/3? d Let z = -7 - -13. Let n be 3/(z/4) + -2. Which is the nearest to -2? (a) -1/4 (b) n (c) 0.4 a Let l be 9/(-6)*(-106)/3. Let i = l - 157/3. Let v = -0.8 - -1. Which is the nearest to i? (a) v (b) 2/5 (c) -0.1 b Let t be (-2 + (-7)/(-3))*0. Let v be t/((-4)/6*3). Which is the nearest to 2/7? (a) 2/5 (b) 3/5 (c) v a Let t = -2351/13 + 181. Let z = 0 + 1. What is the nearest to z in 5, t, -0.3? t Let g = -0.35 + -0.05. Let n = -12 - -15. Let r be 4/6*(-3)/(-4). Which is the closest to 0.1? (a) r (b) g (c) n a Let k = 2/53 + -59/159. Which is the closest to 0.1? (a) 1 (b) -3 (c) k c Let t = 5 - 5.3. Let s = 2.8 + -3. Let k = t - s. Which is the nearest to k? (a) 5 (b) 4 (c) -4 c Let b be 10/(-14) + 1 + 0. Let a be (2/(-24))/(8/112). Let d = 1/2 + a. What is the closest to -2/5 in 5, b, d? d Let f be 1/2 - (-1)/(-4). Suppose -7*u + 9*u - 14 = 0. Suppose 0 = 3*h - u*h - 8. What is the closest to 2/3 in h, f, -0.2? f Let x = 5 + 1. Let s be (-6)/4*(-28)/x. Suppose s*k - 3*k = 2*d, -5*k + 3*d = 0. What is the closest to 0 in 2, k, -3? k Let f = -0.8 - -4.8. Let l = -0.7 - -0.2. Let n = 677.9 + -678. What is the closest to n in l, f, -1? l Let u = 1346/7 + -192. Let q = 0 + -1. Which is the nearest to q? (a) -4 (b) 3 (c) u c Let o = 157/55 + -27/11. What is the nearest to o in -0.5, 0.2, -3/7? 0.2 Suppose -y - 9 = 8*y. What is the closest to y in 0.2, -1, -11? -1 Let x = -0.03 + -1.97. Let c = x - -1. Let d = -0.1 + 0.1. What is the closest to c in -0.2, 5, d? -0.2 Let t be 12/30 - (-4)/(-35). Let
{ "pile_set_name": "DM Mathematics" }
-3*h + 11*h - 188 + 188 in the form v + b*h and give b. 8 Express 2 - 1 + 9 + 3 - 3*x + 4*x as k + g*x and give k. 13 Express -24*f + 0 + 43*f + 3 - 131*f in the form t*f + x and give t. -112 Express 0 - 1888*d - 2 + 10 - 8 as l*d + b and give l. -1888 Rearrange 9*t**3 - t**3 - 92*t - 9*t**3 - 79*t to the form b*t**2 + q*t**3 + k + d*t and give d. -171 Rearrange g + 3 + 3 + 7 - 4 to s + j*g and give j. 1 Rearrange (312*v - 405*v - 1415*v - 642*v)*(2*v**2 + v**2 - v**2) to the form o + f*v + a*v**2 + k*v**3 and give k. -4300 Rearrange (0*w**2 + w**2 + 0*w - 4*w)*(5 - 21 - 49) to the form r + g*w + m*w**2 and give g. 260 Rearrange -4*w**2 + 4 + w**2 - 3*w**3 - 5*w**2 - 2*w**3 - 4*w**2 to b*w**2 + h*w**3 + k*w + x and give x. 4 Rearrange (-2772*m + 5625*m - 2748*m)*(3*m**2 + 0*m**2 + 0*m**2)*(-2 + 2 + 2*m) to the form u + x*m**3 + v*m**4 + j*m**2 + b*m and give v. 630 Express 10 - 6 - 1 - 16*o - 2 in the form s + c*o and give s. 1 Rearrange ((-8*k + 17*k + 8*k)*(3 + 2 - 4) + (-2*k - 5*k + 5*k)*(4 - 1 - 2) + 2 - 2*k - 2)*(k + 2*k - 2*k) to z*k + w + f*k**2 and give f. 13 Express (-42*l**3 - 19*l**3 + 11*l**3)*(-3 + 0 + 2)*(7 - 4 + 0) as u*l**2 + r*l + w*l**3 + b and give b. 0 Express -1029*r**2 - 11*r**4 - 2*r**3 - r + 1035*r**2 + 4*r**3 as t*r**2 + f*r + a*r**3 + m*r**4 + k and give t. 6 Express 6*o**2 - o - o + 1 - 5*o**3 - 7*o**2 - o**4 + 9*o**3 in the form j*o + c*o**3 + f + x*o**2 + k*o**4 and give f. 1 Express (-44 - 50 + 147 + 284)*(s - s - s) in the form w + d*s and give w. 0 Rearrange t - 2 - 13*t**2 + 14*t**2 + 0*t**2 - 196*t**3 to j*t**2 + k*t + w + d*t**3 and give w. -2 Express -51*c**2 - 31*c**2 + 21*c**2 + (0 + 4 - 2)*(2*c**2 + 2 - 2) + 2*c**2 + c**2 + 3*c**2 as g + o*c + w*c**2 and give w. -51 Express -6*f**2 + 42*f**3 + f**4 + f**4 + 23*f**3 + 11*f**2 + 10*f**3 in the form o*f**4 + m*f**3 + j*f**2 + v*f + w and give j. 5 Rearrange -172 + 46*s**4 - s + 2*s + 171 + s**3 + (4 + 0 - 3)*(-s**2 + s**2 - 3*s**4) to x + l*s**3 + q*s + z*s**4 + h*s**2 and give l. 1 Express 24*z - 4 + 4 - 2 + 18*z**3 + 3*z**2 - 23*z as r*z + s*z**2 + t + b*z**3 and give b. 18 Rearrange 2*x**4 - 157 + 10*x**2 - 2*x - 174*x**3 + 159 - 10*x**2 to o + t*x + u*x**3 + n*x**4 + m*x**2 and give n. 2 Rearrange 0 + 3 + 93*h**3 - 91*h**3 - 4 - 44*h**2 - 3 to the form v + t*h**2 + z*h + u*h**3 and give v. -4 Rearrange 3*s - 78 + 24 + 25 to t*s + w and give t. 3 Express (4*p + 3*p - 2*p)*(6*p + 1 - 1) - 2*p**2 - 2*p**2 + p**2 - p**2 - 2*p**2 + 4*p**2 as d*p**2 + q + l*p and give q. 0 Express -2297*s + 2756*s - 2798*s in the form p + w*s and give w. -2339 Express 100*s + 3*s + 645*s - 115*s + 922*s in the form g + y*s and give y. 1555 Express (1 - k - 1)*(9 - 9 + 2*k)*(-657 + 196 - 237) as p*k**2 + t + h*k and give p. 1396 Rearrange (1 + 3 - 2)*(3 - 3 + 2*z)*(75*z + 22*z + 45*z) to o*z**2 + a + h*z and give o. 568 Rearrange -264*a + 3 + 131*a - 5 + 129*a - 66*a**2 to g*a + n*a**2 + z and give z. -2 Express 21 + 31*u + 33*u + 28*u - 89*u in the form g + z*u and give z. 3 Rearrange -d - 4*d - 22*d + (2 - 4 - 1)*(0*d - 2*d + d) + 5*d - 4 + 4 to the form p*d + q and give p. -19 Rearrange (2*p - 3*p + 0*p)*(-p + 2*p - 3*p) + (-5 + 5 - 4*p)*(-27 - 11*p + 27) + p - p + 4*p**2 to d + c*p + u*p**2 and give u. 50 Express (-19*k + 9*k + 5*k)*(5*k - 31 - 25 + 61) as y + j*k**2 + s*k and give j. -25 Rearrange -1 - 2*r + 105*r**3 - 14*r - 4*r - 109*r**3 to the form w*r + p + z*r**2 + o*r**3 and give o. -4 Rearrange -2*l**2 + 0 + 0 - 228 + 228 - 8*l**2 + l + l**2 - l + (1 + 2*l - 1)*(4*l - 6*l + 4*l) to u*l + s + x*l**2 and give x. -5 Rearrange (-3524 - 582*q + 3524)*(2 + 3 - 7) to the form x + v*q and give v. 1164 Rearrange 440*g - 1682 + 1682 to d*g + l and give d. 440 Rearrange 80*p**3 - 161*p**3 - 156*p**3 - 2 - 122*p**3 to f*p**2 + k*p**3 + m + i*p and give m. -2 Express (13*u**3 - 16*u**3 - 23*u**3 + (-6 + 4*u + 6)*(2*u**2 - 10 + 10))*(2 + 0 - 1) as q*u**2 + y*u**3 + c + k*u and give y. -18 Express (5*u - 78*u - 21*u)*(-10*u + 10*u + 4*u**3) in the form b*u**3 + p + f*u**4 + s*u + q*u**2 and give f. -376 Express -2*k + 2*k**4 - 23*k**2 - 27 + 53 - 24 as v*k + y*k**3 + m + z*k**4 + i*k**2 and give v. -2 Express -386*f - 69*f + 33*f as r*f + u and give r. -422 Rearrange -2*m + 0*m + 3*m + (-2 - 2 + 5)*(-3*m + 3*m + 2*m) + m - 4*m - 5*m to j + r*m and give r. -5 Express ((5*l - 3*l + 0*l)*(l + 1 - 1) - 4 + l**2 + 4)*(-78*l + 45*l - 331*l) as x*l**3 + d*l + i*l**2 + h and give x. -1092 Rearrange 18*p - 375*p + 362*p + 401*p to the form g*p + s and give g. 406 Express -2*w**3 - 2 - w + w**3 + 0*w - 9*w**4 + 3*w**3 in the form p + k*w**3 + g*w**4 + b*w + r*w**2 and give r. 0 Express (-4 + 2 + 5)*(2 - 2 - 2*h)*(-11*h**2 + 7*h**2 - 7*h**2) in the form n*h + k + g*h**2 + u*h**3 and give u. 66 Rearrange -35*k - 5*k**2 + 8*k**2 - 6*k**2 to i + f*k**2 + w*k and give w. -35 Rearrange -2*i**2 + 2517*i + 2515*i - 3*i**4 + i**3 - 5031*i to v*i**4 + w*i**2 + u*i + x*i**3 + m and give v. -3 Rearrange ((-1 + 5 - 5)*(3 - 7 + 2) - 30 - 35 + 45)*(0 + 0 + p) to the form q*p + t and give q. -18 Rearrange 0 + 0 - 2*h**2 + (2 + 2 - 3)*(0*h + 0*h - 2*h**2)*(-132 - 85 + 455) to the form w*h**2 + q*h + z and give w. -478 Rearrange 15 + 6 - 608*b**2 + 4 + 610*b**2 to g*b + d*b**2 + w and give w. 25 Express (8*w + 67 - 5*w - 69)*(4 - 1 - 1)*(-10 + 10 - 11*w) in the form p*w + h + b*w**2 and give p. 44 Rearrange -263*m - 29 + 61 - 32 to j + s*m and give s. -263 Express (-2*o**2 + 2*o**2 + o**2)*(-4*o + o - o + 1) + (-2*o**2 - 2*o**2 + 2*o**2)*(-3*o + 2*o - 3*o) in the form d + f*o + i*o**3 + y*o**2 and give y. 1 Rearrange (-14*c - 39*c + 7*c)*(-5*c**2 + 6*c**2 - 9*c**2)*(0*c - 5*c + 4*c) to a*c**2 + z*c**3 + o*c**4 + m*c + i and give o. -368 Express 23*p**4 + 2*p**2 - 56*p**4 - 55*p**4 - p + 0*p**2 in the form i*p**3 + s*p + y*p**2 + a*p**4 + c and give c. 0 Rearrange o**2 + 3*o**2 + 93791*o**3 - 93788*o**3 - 4 + 2*o**4 to r*o**2 + x*o**4 + f + y*o + u*o**3 and give r. 4 Express (-a - 8*a + 2*a)*(0 + 0 - 1)*(9 + 0 - 1 + 0 - 4 + 3 + 1 + 0 + 1 - 1 - 1 + 1 + (0 + 2 - 3)*(2 - 5 + 1) + 2 - 2 - 1) in the form c + x*a and give x. 63 Rearrange -5*q + 2*q - 35*q**2 + 2*q + 29*q**2 to the form m*q + z + u*q**2 and give u. -6 Rearrange 31*c**2 + 54 - 32*c**2 - 51 - 230*c**3 to the form z + l*c**3 + b*c**2 + f*c and give z. 3 Rearrange -2*l**2 - 10*l + l**3 + l + 8*l - 5*l**4 to the form u*l**3 + r*l**4 + x + b*l + f*l**2 and give r. -5 Rearrange 5*z**4 + 0*z**4 + 5*z**4 + (-2 - 21*z**3 - 2*z**4 + 21*z**3)*(-95 - 94 + 185) to the form f*z + r*z**4 + p*z**3 + t*z**2 + d and give f. 0 Rearrange (4*o + o - 2*o)*(o + 6*o - o) - 13*o**2 - 23*o**2 - 23*o**2 to g + z*o**2 + u*o and give z. -41 Rearrange 474*w - 948*w - 2 + 480*w + 3*w**2 to a*w + j + s*w**2 and give j. -2 Express 286 + 3*y**2 + 24*y**3 - 288 + 23*y**3 - 3*y**3 as a + z*y**3 + r*y**2 + q*y and give a. -2 Rearrange -413*b**2 - 12 + 198*b**2 - 5*b**3 + 215*b**2 + 21*b**3 to c*b + n + g*b**3 + u*b**2 and give g. 16 Rearrange (0 + 1 - 3)*(-19 - i + 68*i**2 + 41 - 59*i**2) to l*i + f*i**2 + a and give f. -18 Rearrange -257*i + 41*i - 64*i to the form s + x*i and give x. -280 Express 47*k - 25*k + 14 - 11 + 48*k as y*k + f and give f. 3 Rearrange 18*f**2 - 2 - 10*f**2 + 3*f**3 + 5 - 6*f**2 to the form b*f + j*f**2 + o + t*f**3 and give t. 3 Rearrange -2*k**2 - 8*k - 3*k + 3*k**2 + 52*k**3 + 10*k to m*k**2 + w + z*k + q*k**3 and give z. -1 Rearrange -44*g**4 + 39*g**4 - 22*g + 18*g**2 + 21*g - 2 to the form p*g**4 + q*g**2 + o*g + r*g**3 + s and give p. -5 Rearrange (4*n - 2*n + 0*n)*((-1 + 4 - 4)*(0*n + n + 0*n) - 4*n - 2*n + 2*n - 3*n - n + 2*n)*(0 + 2 + 6) to the form c*n**2 + x + t*n and give c. -112 Rearrange (6*h + 3*h - 2*h)*(6 - 4 - 1)*(-4 - 10 - 5)*(-9 + 2*h + 2*h**2 - 2*h) to the form n + g*h**3 + w*h + p*h**2 and give g. -266 Rearrange -2*d - 2*d + 6*d - 124*d + 404*d + 409*d + (d + 0*d + d)*(-4 + 0 + 6) to m*d + j and give m. 695 Express (2*d - 8075 - d + 9480)*(-2*d**2 - d**2 + 5*d**2) as r*d + y*d**2 + o*d**3 + z and give y. 2810 Rearrange (b**2 + b**2 - 3*b**2)*(4365 - 4365 + 475*b) to the form y + r*b + g*b**3 + t*b**2 and give g. -475 Rearrange -49469 + 49469 + 555*y to b + v*y and give v. 555 Express 11 - 23 + 12 + 3*w**2 + 70*w + 0 as j*w + f*w**2
{ "pile_set_name": "DM Mathematics" }
5 for w. -25 Solve -13 = -11*q + 8*q - 10*q for q. 1 Solve 140*i - 2105 = 51*i - 236 for i. 21 Solve -25*f = -f + 39*f + 945 for f. -15 Solve 8*f + 279 = -6*f - 17*f for f. -9 Solve 10355*c + 182 = 10264*c for c. -2 Solve -19*q - 84 = -255 for q. 9 Solve 456*a = 476*a + 40 for a. -2 Solve -175*z - 3414 = -4464 for z. 6 Solve 90*b + 11821 = 14251 for b. 27 Solve 0 = -628*j + 619*j + 72 for j. 8 Solve -62*b = 32 - 265 - 201 for b. 7 Solve -89*b - 3510 = -3866 for b. 4 Solve -22*f = -58413 + 58193 for f. 10 Solve 13*f - 45*f + 1296 = 40*f for f. 18 Solve -32 - 536 = -49*m + 265 for m. 17 Solve 1471 = -120*y - 329 for y. -15 Solve 5*t - 8262 = -481*t for t. 17 Solve 52*c - 2 = -13*c - 392 for c. -6 Solve -27*x = 8087 - 7223 for x. -32 Solve 0 = 173*w - 339*w + 175*w + 99 for w. -11 Solve -301*q - 5510 = -19*q + 130 for q. -20 Solve -162*d + 175*d + 1000 = -187*d for d. -5 Solve -26487 - 5753 = -1040*l for l. 31 Solve -49*m + 47*m - 10 = 0 for m. -5 Solve 9*x - 37 = 71 for x. 12 Solve 6*i - 1 - 19 = 10 for i. 5 Solve 0 = -17*s + 24*s + 13*s - 360 for s. 18 Solve -1676*f = -252*f + 291 + 21069 for f. -15 Solve -553*k - 298*k - 8297 = 213 for k. -10 Solve -28*f = 23*f - 36*f + 120 for f. -8 Solve 97*o + 118*o = -3578 - 4162 for o. -36 Solve -177 - 44 - 4 = -45*a for a. 5 Solve -46*m + 80 = -213 - 29 for m. 7 Solve -93*r + 34*r = -708 for r. 12 Solve 0 = 14*t + 21*t - 35 for t. 1 Solve 221*s + 5869 = -982 for s. -31 Solve 3*j + 774 = -24*j - 16*j for j. -18 Solve 2*l - 35*l - 488 = 40 for l. -16 Solve -106*t + 1546 + 2438 = 143*t for t. 16 Solve 940*y - 177 = 914*y - 21 for y. 6 Solve -34*x + 7970 - 1790 = 481*x for x. 12 Solve -280 = -231*s - 4438 for s. -18 Solve -198*h - 116 = -804 - 896 for h. 8 Solve 570 - 2985 = 115*w for w. -21 Solve 0 = -184*u + 173*u - 176 for u. -16 Solve -107*z + 2778 = 4276 for z. -14 Solve -17*v - 759 = -3*v + 19*v for v. -23 Solve -607 = 140*s + 513 for s. -8 Solve -246*n - 2331 = -357*n for n. 21 Solve -13*t - 601 = -575 for t. -2 Solve -133*y - 690 = 5*y for y. -5 Solve 67*p - 770 = -0*p - 3*p for p. 11 Solve -138*u + 399*u + 174*u + 10875 = 0 for u. -25 Solve -410*z - 674 - 146 = 0 for z. -2 Solve -74*m + 155 - 89 = 510 for m. -6 Solve 360449 - 359974 = 8*d + 11*d for d. 25 Solve -13*l - 38*l - 1020 = 0 for l. -20 Solve 16*y + 431 = 831 for y. 25 Solve -8*w - 1005 = -877 for w. -16 Solve 1198*d - 140*d = 2116 for d. 2 Solve 0 = 260*p - 323*p - 693 for p. -11 Solve 1420 = -22*x - 12*x - 37*x for x. -20 Solve 4 = 11*g + 115 + 43 for g. -14 Solve -168*z = 262 - 1270 for z. 6 Solve 215 = 626*q - 684*q - 307 for q. -9 Solve -192*f + 3423 = -1377 for f. 25 Solve -132*p - 2189 + 2717 = 0 for p. 4 Solve -7055 + 5899 = 5*z + 63*z for z. -17 Solve -18*t - 16 + 177 = 5*t for t. 7 Solve 51*o + 93 = 19*o + 989 for o. 28 Solve 742 = -30*v + 322 for v. -14 Solve -3478*n + 3418*n - 780 = 0 for n. -13 Solve 37*f = 46*f + 18*f - 108 for f. 4 Solve 113*j = 28 + 28 + 57 for j. 1 Solve -32*c - 85*c = -31*c + 258 for c. -3 Solve 528 = 31*u + 79*u - 22*u for u. 6 Solve 126*b - 582 = 901 + 407 for b. 15 Solve -31*y - 2882 = -162*y for y. 22 Solve 2 + 69 = 19*z - 43 for z. 6 Solve -151*p = -78*p - 79*p - 6 for p. -1 Solve 116*d = 16*d for d. 0 Solve -864 = -97*u + 397 for u. 13 Solve r - 29*r = 2*r + 120 for r. -4 Solve 0 = 61*x + 61*x - 83*x + 117 for x. -3 Solve -466 = -40*r + 518 - 224 for r. 19 Solve -114*f = 97*f - 4109 - 2221 for f. 30 Solve -46*l - 125*l - 2076 = 2199 for l. -25 Solve -1076 + 2174 = 3*q + 1080 for q. 6 Solve 2*h = -8*h - 22*h - 224 for h. -7 Solve -84 + 106 = 45*i - 158 for i. 4 Solve -7*z + 18*z - 375 = -14*z for z. 15 Solve 99*t = -29*t - 686 - 1746 for t. -19 Solve 406*w + 120 = -384*w + 820*w for w. 4 Solve 306*o = 2821 - 67 for o. 9 Solve 75 = 8*d - 15 + 10 for d. 10 Solve -6*b + 5 + 46 = 15 for b. 6 Solve 16183 = -12*d + 16051 for d. -11 Solve 0 = 3*v - 1193 + 1217 for v. -8 Solve -278 = -233*d - 45 for d. 1 Solve 0 = -j - 397 - 416 + 797 for j. -16 Solve -208*s = -8*s - 5*s - 2145 for s. 11 Solve 9*t = 19*t + 20*t + 270 for t. -9 Solve -1283*b = -1165*b - 3422 for b. 29 Solve 186*f + 16560 = -1033*f + 299*f for f. -18 Solve -21*d = -113 + 44 - 120 for d. 9 Solve -205*f - 1150 = -255*f for f. 23 Solve -134 = -13*v - 121*v for v. 1 Solve -2545*v - 476 = -2579*v for v. 14 Solve 0 = -123*a - 183 - 1539 for a. -14 Solve 22531 - 22661 = -10*t for t. 13 Solve 53*s - 286 = 469 + 40 for s. 15 Solve 238 = 40*g + 55*g - 2137 for g. 25 Solve 16*w + 8*w = -11*w + 24*w for w. 0 Solve 2*t = -38*t + 59 + 461 for t. 13 Solve -38*h + 2088 = 133*h + 90*h for h. 8 Solve -63*n + 29*n = -31*n + 39 for n. -13 Solve 0 = -127*r + 617 - 2141 for r. -12 Solve 0 = 1541*r - 1551*r + 120 for r. 12 Solve 428 = 203*d - 417*d for d. -2 Solve 463*b + 4806 = 78*b + 186 for b. -12 Solve 39960 - 39216 = 62*b for b. 12 Solve -67*y + 191 - 727 = 0 for y. -8 Solve -150 = -32*g - 2*g + 326 for g. 14 Solve -163*y + 117 = -130 - 79 for y. 2 Solve 123*q - 513*q - 2324 + 13634 = 0 for q. 29 Solve -398*a + 393*a = 46 + 19 for a. -13 Solve 0*d - 14*d + 528 = 34*d for d. 11 Solve -159*i = 26*i + 172*i + 3927 for i. -11 Solve 0 = 753*k - 719*k + 782 for k. -23 Solve -11*o + 759 = 836 for o. -7 Solve 2140 + 3792 = -306*y + 118 for y. -19 Solve 157*b + 1458 = -5*b for b. -9 Solve -26*u = -67828 + 67360 for u. 18 Solve -28*m - 45*m - 852 = -2*m for m. -12 Solve -1045*k + 99 + 167 = -1059*k for k. -19 Solve 1678*v - 6 = 1679*v for v. -6 Solve -53677*m + 196 = -53693*m - 204 for m. -25 Solve 35761 = 1679*b - 14609 for b. 30 Solve -73*l + 820 = 93 - 76 for l. 11 Solve -15*a - 199 - 149 = 14*a for a. -12 Solve -548*w + 557*w = -126 for w. -14 Solve 6*v = -60 + 120 for v. 10 Solve -70*y - 6162 = 957*y for y. -6 Solve -145 = 72*w - 35 + 106 for w. -3 Solve 74 = 16*o - 86 for o. 10 Solve 9510 - 10370 = 86*q for q. -10 Solve 217*f = 12852 - 17409 for f. -21 Solve 17*w - 205 = -32*w + 236 for w. 9 Solve -13*o + 464 = 5*o + 40*o for o. 8 Solve 350 + 296 = 112*y - 474 for y. 10 Solve 151*t + 0*t + 1661 = 0 for t. -11 Solve -305 - 84 = 28*d + 339 for d. -26 Solve 4*c + 23605 = 23685 for c. 20 Solve 304*f - 13494 = 29*f - 244*f for f. 26 Solve -7*m - 17 - 67 = 0 for m. -12 Solve 0 = -40483*o + 40508*o + 100 for o. -4 Solve 39 = 40*q + 16*q + 39 for q. 0 Solve 196*p + 13380 + 7059 = 953*p for p. 27 Solve 5*r + r - 517 + 451 = 0 for r. 11 Solve 0 = -38*p + 1490 - 1908 for p. -11 Solve -9432 = -576*w + 969*w for w. -24 Solve 55*b = 31*b + 41*b - 187 for b. 11 Solve 21*v + 215233 = 215758 for v. 25 Solve -37*n - 82*n - 2380 = 0 for n. -20 Solve -631*y - 2867 + 516 - 11531 = 0 for y. -22 Solve 1717 = 324*p - 3467 for p. 16 Solve 25*p = 35*p - 80 for p. 8 Solve 176*g = 260*g + 924 for g. -11 Solve -64*v - 90*v + 891 = -181*v for v. -33 Solve -467*r - 948 = -309*r for r. -6 Solve 5072*o = 5002*o - 140 for o. -2 Solve 8*c + 64*c + 758 - 2198 = 0 for c. 20 Solve 22*v = -1221880 + 1221110 for v. -35 Solve 288*l - 271*l + 5 = 22 for l. 1 Solve -49*c = -52*c - 5 + 2 for c. -1 Solve -55*c + 40*c - 51*c - 528 = 0 for c. -8 Solve -21632 = -1313*f + 24943 - 13750 for f. 25 Solve 0 = 23*c + 388 - 365 for c. -1 Solve -10*p + 156 = 29*p for p. 4 Solve -85*r + 788 - 23 = 0 for r. 9 Solve -63*j + 43*j - 360 = 52*j for j. -5 Solve -13*k + 81 - 117 = -4*k for k. -4 Solve -30*s - 10913 = -11633 for s. 24 Solve 967*l + 2100 = 757*l for l. -10 Solve 96*t = 213*t - 351 for t. 3 Solve 54*b = 58*b - 80 for b. 20 Solve -20*c = -84*c - 37*c - 707 for c. -7 Solve -11717*y = -11634*y - 332 for y. 4 Solve 9487*k = 9457*k + 480 for k. 16 Solve -35*g - 69 = -15 + 156 for g. -6 Solve -325*s = -987 + 337 for s. 2 Solve -246*u = -214*u - 288 for u. 9 Solve 70*c = 104 - 44 + 220 for c. 4 Solve 0 = 17*v + 22*v + 58*v - 679 for v. 7 Solve -111*b + 5092 - 5092 = 0 for b. 0 Solve -210*l = 547 - 127 for l. -2 Solve -26 - 41 = 272*n + 205 for n. -1 Solve -144*f - 470 = -97*f for f. -10 Solve -24*t = -54 + 174 for t. -5 Solve -1974 = 65*a + 106 for a. -32 Solve -36*u - 40 - 146 = 66 for u. -7 Solve -t = -216 + 217 for t. -1 Solve 450 + 234 = -171*j for j. -4 Solve 0 = -67*p + 264 - 54 + 125 for p. 5 Solve -1184*b - 8145 = 17903 for b. -22 Solve -2 + 227 = 58*m - 123 for m. 6 Solve -21*h + 17*h = 15*h - 19 for h. 1 So
{ "pile_set_name": "DM Mathematics" }
y + 5*a. Solve -y*v - 3*j - 34 = -0*v, 20 = -v - 5*j for v. -5 Let z = -328 + 331. Suppose -33 - z = -9*x. Solve -a + 4*t + 13 = 4*a, 0 = -3*a - x*t + 27 for a. 5 Let q(w) = 37*w**3 + w + 1. Let v be q(-1). Let r = 97 + v. Let m be 1*((-4)/(-12))/(2/r). Solve -4*p + 5 = 4*c - 3*c, -2*c - m = -2*p for c. -3 Suppose 31*d = -38*d + 345. Solve d*n + 4 + 6 = -5*b, -4*b - 16 = -4*n for n. 1 Let q = 233 + -95. Let c be (-16)/80 + -2 + q/15. Solve -5*f + 20 = 0, -2*f = -2*m - m + c for m. 5 Let k(q) = 320 - 10*q**2 - 322 + 12*q**2 + 9*q. Let j be k(-5). Let x = -15 - -18. Solve -a - 9 = -j*a - x*m, -2*a = m - 3 for a. 0 Let f be (-5)/((-4)/3 - (-29)/87) - -2. Solve -3*i - 16 = -f*i, 24 = -5*h + i for h. -4 Let q be 4 - (-3 + (5 - 0)). Solve -4*s - j - 8 = 2, -q*j = -4*s - 4 for s. -2 Suppose -12*b = 7*b. Solve b = 2*i + 5*f + 7, 7*i + 4*f + 8 = 3*i for i. -1 Let x(s) = 2*s**2 - 5*s - 15. Let a be x(-3). Suppose 2*t - 22 = -a. Solve 0 = -2*m + 4*m, 2*j + 2*m + t = 0 for j. -1 Let o be (20/(-12) + 0)*24/(-8). Solve c + o*b = 4, -4*c + 1 = -5*b - 15 for c. 4 Let b(a) = 12*a - 240. Let y be b(20). Suppose -f + 3 = -0*f. Suppose -2*d + 6*d - 16 = 0. Solve 0*m + m + f*i + 4 = y, 0 = d*i + 8 for m. 2 Let j = 6608 - 6584. Solve 5*y + i = -j, 3*i = 3*y - i + 19 for y. -5 Let y be (1 - (-9)/6)*2. Suppose -6*r = -0*r + y*r. Solve 2*q + v + 6 = r, -3*v - 22 = 2*q - 6*v for q. -5 Let t = 16 + -18. Let o(g) = 18*g**2 - 1. Let m be o(t). Let s = -66 + m. Solve 17 = q - s*l + 2, -l = -q + 7 for q. 5 Let p(n) = -n**2 + 66*n + 4. Let g be p(66). Solve -5*y + 2 = g*m - 3, 2 = 2*y + m for y. 1 Suppose -7*w + 2*w = -4*b + 25, -3*b - 4*w + 11 = 0. Solve -g = b*z + 8, g = -4*z - 3*g for z. -2 Let h = 178 - 180. Let a(s) = 10*s + 20. Let c be a(h). Solve -d - 7 = n, 5*n + 5 = d - c for n. -2 Let x(f) = 2*f**3 + 25. Let h be x(0). Suppose -4*w = p - 4*p + 32, w = 5*p - h. Solve -5*v = -3*y + p - 5, -7 = y + 5*v for y. -2 Let j be (-3)/(-12) - (0 - 6/(-24)). Suppose j*k - 8*k + 16 = 0. Solve 2*l + 5*n = 16, 0 = 4*l - 0*l + k*n - 16 for l. 3 Let x be ((-44)/(-6) - 14)*(-9)/12. Solve b + 6 = x*b + 2*z, 0 = 2*b - 4*z + 2 for b. 1 Let a = 279 - 274. Suppose -4*g - 3*p + 20 = -8*p, 0 = -a*g + 2*p + 25. Solve 0 = -2*v - 2*z - 10, -g*v + 4*v = -2*z - 1 for v. -3 Let y(m) = m. Let a be y(0). Let l(z) be the third derivative of z**4/2 - 59*z**3/3 + 107*z**2. Let t be l(10). Solve -t*w - 6 = -d, a = 4*d - 3*d - 2 for w. -2 Suppose 33 = 29*y - 18*y. Let c(b) = -b**3 + 13*b**2 - 13*b + 17. Let q be c(12). Solve 0 = -q*o + a + 12, 2*a = -y*o - 2*o + 21 for o. 3 Suppose 2*f - 4*f - 3*p = 8, 4*f = -5*p - 12. Suppose -5*o - 5 = -20. Let u be (5 - f) + o/(-1). Solve -2*d + 3*d = u, -2*d + 3 = -b for b. -3 Let r(f) = f**2 - 9*f + 21. Let y be r(9). Let m be 22/(-6) + (-7)/y. Let u = 1 - m. Solve x - 3*t - 2 + 11 = 0, u*t = 2*x + 14 for x. 3 Suppose -2*r = x - 6*x + 14, 8 = -4*r. Let p(t) = -6 - 2*t + 3 - x. Let k be p(-5). Solve -l = k - 1, 5*d + l = 21 for d. 5 Suppose -6*i - 56 = -20*i. Let v = 5 - 3. Suppose -63*l = -66*l - j, -l - 5*j = 0. Solve 4*a + i*g = 8, a = 3*g + v - l for a. 2 Let r(p) = -20*p - 58. Let k be r(-4). Suppose 3*i - 4 = 4*n, -3*n - 3*i = 2*n - k. Solve 1 = -a - 1, 6 = -n*l - a for l. -2 Suppose 61*i = 1454 - 208 + 889. Solve -4*x = 5*s - 20, -i*x = -36*x - s + 5 for x. 5 Let n(j) = 4*j + 31. Let y be n(-6). Solve h + 3*p = -y - 7, -5*h = 3*p + 10 for h. 1 Let a = -98 - -102. Suppose -2*w - f = -2, -w - 3*f + a = -f. Solve 2*s - 3 + 1 = w, 5*s = -2*d - 3 for d. -4 Suppose 0 = 3*j + 4*c - 232, -9*j - 129 = -11*j + c. Suppose -198 = -0*u + 3*u. Let m = j + u. Solve 0 = -m*f + 2*b - 7*b - 30, -4*f - 16 = -b for f. -5 Let s = -2301 - -2305. Suppose -w = 4*w. Suppose w = d + 3*n + 11 + 1, 0 = -3*n - 15. Solve -s*c + a + a = 10, 5*a = d*c + 18 for c. -1 Let c be 4/((56/(-38))/(-7)). Let a be (0 + -1)*(-25)/(-14 + c). Solve -5*v - 2*s - s = -40, -a*s + 30 = v for v. 5 Suppose 5*w - 67 = -o, 2*w - 33*o = -35*o + 22. Suppose 3*f - 8*q + 3*q = -11, -q = -2*f + 2. Solve 0 = i - 3*x - w, 2 = -f*i - 0*x - 2*x for i. 2 Let k be ((-1)/(-2))/(1/26). Suppose -16*s = -23*s + 28. Suppose -s*d + 13 = 5*o - 3*d, 2*o - 10 = 2*d. Solve -o*u - 5*c + 9 = -k, 5*u + 3*c - 26 = 0 for u. 4 Suppose 0 = 586*o - 719*o + 4123. Solve -5*p - 5 = 5*f, -27*p + o*p - 24 = 3*f for f. -4 Let o be 4/5*(-30)/(-12). Suppose -258 = -3*g - w, 0 = -3*g + o*w + 224 + 34. Let x = 97 - g. Solve -5*z = -4*j - 0*j + x, -j + 8 = -3*z for z. -3 Suppose 3*l - 5*i = 42, 0*l - 5*i = -4*l + 56. Suppose -l = -t - 13. Solve -d = -4*a + 16 + 8, a + d - t = 0 for a. 5 Suppose 2*y - 3*b = 7*y - 29, -5*b = -2*y - 7. Suppose -3*u + 7*u - y = 0. Let c be (-540)/(-162) + 2/3. Solve x = -j + 9, -c*j + 3*x = -2 + u for j. 4 Let t = -180581 - -180583. Suppose -3*g - 5*x = -100 + 8, 0 = -5*g + 2*x + 143. Solve -g = 3*a + p + 4*p, -2*p - 14 = t*a for a. -3 Let t = -2830 + 2833. Suppose -14 = 4*c - 3*d, 5*c + 2*d + 8 = d. Let i be 1*(2 + c + 2). Solve 2*g = k + t + 3, -3*g = i*k - 9 for g. 3 Let x(z) = -9*z**2 - 118*z + 1. Let u(m) = -3*m**2 - 38*m. Let w(j) = -11*u(j) + 4*x(j). Let c be w(-18). Solve 10 = -2*v - 4*r - c, 2*r = -3*v - 13 for v. -3 Let a(v) = -29*v**2 + 1133*v - 75. Let w be a(39). Solve 2*p = -2*n, -2*p + w*n - 380 = -365 for p. -3 Let k be 7/(-7 - -8)*-17. Let d be (k/28 + 6)/((-1)/(-4)). Solve -4*i - 23 = l, d*l - 2*i = 2*l - 5 for l. -3 Suppose c + 4*n - 17 = 0, -9*c - 2*n = -5*c - 26. Solve -c*g - 5*y = -25, -3 = 5*g - 2*y - 14 for g. 3 Let s(i) = 16*i**2 + 20*i - 26. Let x(k) = -7*k**2 - 9*k + 13. Let r(p) = -3*s(p) - 7*x(p). Let u be r(-6). Solve -4*b + 18 = -3*l + u, -l - b + 5 = 0 for l. 1 Let q(o) = -2*o**2 + 379*o - 2550. Let t be q(7). Solve x - 9 = 4*p, -t*p + 4*x - 16 + 2 = 0 for p. -2 Let i be (-9)/(-27)*(4 + 224). Suppose -4*h + i = 2*s, 5*h - 76 = h - s. Solve -5*c + 7 = 2*y - 2*c, -4*y + 5*c = h for y. -1 Let i(x) = 71*x**2 - 144*x**2 - 7 + 77*x**2 + x**3. Let s be i(-3). Solve -s*p + 8 = 0, 3*o + 2*p - p - 7 = 0 for o. 1 Let c(p) = 994*p - 7920. Let v be c(8). Solve -4*n = -5*z, 4*z - 4*n = 7*z + v for z. -4 Let u = -9000 - -9002. Solve -u*j - 16 = 3*m - m, 19 = -5*m + 2*j for m. -5 Let m(i) = i**3 - 5*i**2 - 3*i - 18. Suppose 12 = 3*c - c - 3*a, 4*a = 0. Let w be m(c). Suppose -7*s + 35 = -w*s. Solve 5 = 2*u - 3*r, s*u - r - 2 = 3*r for u. -2 Suppose 51*s = 3481 - 1339. Suppose 0 = -10*h + s*h - 128. Solve 3*b = -n + 2*n + 15, -h*n - 5 = -b for b. 5 Suppose -601 - 59 = -165*y. Solve 7 - 20 = 2*s + r, -y*s - 11 = -r for s. -4 Suppose 150 = x + 286 - 148. Solve -p - x = 4*s, 2*s - 2*p - 16 = -22 for s. -3 Suppose 6*z + 6 = 9*z. Let r(o) = -10 + 2*o**z - 4 - o**2 + 12. Let g be r(-2). Solve -21 = -4*b - y - 4*y, 5*y = g*b + 27 for b. -1 Suppose -68*u + 195 = -77. Solve 3*x = -v - 2, -u*v = 2*x + x + 17 for v. -5 Suppose 5*g - 2*y - 3 - 17 = 0, -4*y + 20 = 5*g. Solve -3*i = -5*s - 0*s + 5, g*i - 24 = -s for i. 5 Let m be 5/((2/(-10))/(328/(-2050))). Solve 5*h + 10 = y, -y - 16 = m*y - 3*h for y. -5 Let p = 2063 - 2058. Solve x - p*b = 17, x - 1 = 3*b + 8 for x. -3 Suppose 4*w - 7*w + 29 = 2*l, -3*w + 1 = -2*l. Solve -l*c = -4*c - 2*m - 13, 1 = -c - 2*m for c. 3 Let i be (-12)/3*((-18)/(-8) - 15/5). Solve 3*a - 18 = i*r, -r + 17*a = 13*a + 9 for r. -5 Suppose 60 = 7*j - 3*j - 4*w, -2*j + 10 = 3*w. Solve 3*x = -2*o + 9, j = 4*o - o + 4*x for o. -3 Let h(q) = -11*q**2 + 3*q + 6. Let d be h(0). Let w be (0 + 1 - -8) + -1. Let b be 21*(32/d)/w. Solve -2*z + 24 - 5 = -5*k, k = -3*z - b for k. -5 Let x be (-4)/(-9) - (-10 + 31592/(-36)). Let s = x + -877. Solve -g + 4*k = 13, -3*g + s + 10 = 3*k for g. 3 Let a = 2155 + -2149. Solve 5*g + 10 = -2*q, -6*q + 8*q + a = -4*g for g. -4 Suppose -4*q - 4 = 0, 5*z - 14 = 4*q - 0*q. Let b = z + 7. Let j be ((-66)/55)/(3/(-10)). Solve 4*l - 4 = j*m, m - 2 = 3*l - b for l. 3 Let b = -45 - -45. Suppose 2*m + 11 = 5*v - 6*v, 4*m - 20 = b. Let c = v - -28. Solve 0 = -2*j - 4, -c = 3*u - 2*j + 7*j for u. 1 Let j = 56 - 52. Suppose j*r - 2*b + 1 = b, -3*r + b = -3. Suppose 0 = -2*k - 3*k - 5*o + 15, -k - r = -4*o. Solve -3*a - 6 = -k*s - a, -6 = -2*s - 3*a for s. 3 Let a = -4415 - -4426. Solve 3*u - u - 2*k + 10 = 0, -u = 3*k - a for u. -1 Suppose 0 = -13*a - 2267 + 2293. Solve
{ "pile_set_name": "DM Mathematics" }
- 2)*(-2 + 2 - 2) as f + i*p and give i. 6 Express (33*h**3 - 17*h**3 - 19*h**3)*(-h + 0*h + 2*h) as p*h**3 + c + d*h**2 + j*h + r*h**4 and give r. -3 Rearrange -34 - 38*o + 68 - 34 to a*o + v and give v. 0 Express -2*g**2 + 5*g**2 - 16*g + 15*g - 2*g**3 in the form b*g + j + s*g**2 + p*g**3 and give s. 3 Express -18 + 16 + 6*l - l as m*l + j and give j. -2 Express (4 + 1 + 0)*(-2 + 0 + 0)*(1 - 1 + 1)*(-2*i**4 + 4*i**2 - 4*i**2) as a*i**4 + b*i + u*i**3 + z*i**2 + s and give a. 20 Rearrange (0 + 0 - 2*j**3)*(3 - 4 - 3)*(-j + 2*j - 3*j) to y*j**3 + g*j + i + l*j**4 + h*j**2 and give l. -16 Express -4*r - 8 + 8 - 19*r as i*r + d and give i. -23 Rearrange (2 - 3 - 1)*(-g**4 + 0*g**4 + 4*g**4 + (-3*g**2 - g**2 + 5*g**2)*(0*g**2 - g**2 + 0*g**2)) to the form h*g**2 + v*g**3 + o + c*g + s*g**4 and give o. 0 Rearrange (-3*v + v + 2 + 0)*(-2 + 1 - 1)*(-3*v**2 + 2*v**3 + 3*v**2) to the form w*v**3 + c*v**2 + s*v + i + a*v**4 and give a. 8 Express (-2 - 8*c**2 + 2)*(-2*c - 3*c + 0*c) as o*c**3 + t*c + k*c**2 + p and give o. 40 Express (-4*b + 3*b - b)*(b + b - 3*b)*(2 - 2 - 4*b) in the form x*b**2 + q + k*b**3 + r*b and give k. -8 Rearrange -b**3 + b + 3*b**2 - 4*b**2 + 2*b**2 + 8*b to the form z*b**3 + t + r*b + g*b**2 and give g. 1 Rearrange j - 2*j + 4*j**3 - 4*j**2 + 3*j**2 + 0*j**3 to the form v*j + f*j**2 + a*j**3 + h and give f. -1 Rearrange (-2*f - f - f)*(-5*f**3 + 1 - f**2 + 2 - 2*f + 4*f**3) to v*f + j*f**2 + z*f**4 + q + m*f**3 and give j. 8 Rearrange (j + 4*j - 3*j)*(3 + 1 - 3 + (3 - 5 + 3)*(0 - 3 + 1))*(-3 + 7 - 2) + (3*j + 0*j - 2*j)*(9 - 5 + 5) to the form h*j + u and give h. 5 Express -v**2 + 3*v**2 - v**2 + 5*v**2 - 2 as o*v + j + s*v**2 and give j. -2 Rearrange (2*u - 3*u + 0*u)*(2*u**3 + u - u) - 4*u**4 - 2*u**4 + 4*u**4 + (28 - u**3 - 28)*(u - 4*u + u) to k*u**3 + t + m*u + g*u**4 + b*u**2 and give g. -2 Express (2*y + 3*y - 2*y)*(-15 + 15 - 2*y + (-1 - 2 + 4)*(y + 1 - 1)) in the form s*y + d*y**2 + v and give d. -3 Express 5*a**3 - 7*a**3 + 23 + 2*a**2 - 3*a**2 in the form d*a + t*a**3 + r*a**2 + g and give r. -1 Express 2*x - 1 + 1 + (-5*x + 4*x + 0*x)*(0 - 2 - 1) as h*x + q and give h. 5 Rearrange -1679*j**3 + 2*j**4 - 7 + 1679*j**3 + (j + 0 + 0)*(-3*j**3 + 3*j**3 + 2*j**3) to the form d + g*j**2 + a*j + f*j**3 + c*j**4 and give d. -7 Rearrange -2*k**2 + k**4 - k**3 - k**3 + 42 + 2*k - 45 to r*k**3 + a*k**4 + n*k**2 + t + y*k and give t. -3 Express 3*c - 4*c + c**2 - 2 + c in the form g*c**2 + v*c + p and give g. 1 Express (0*d + 0*d - 2*d**3)*(5 + 0 - 4) - 465 + 465 - 57*d**3 as n + y*d + m*d**3 + f*d**2 and give f. 0 Rearrange -330 + 351 - 3*a - a**2 + 2*a**2 + 2*a to j*a**2 + f*a + d and give j. 1 Express 2 + 236*w - 5*w**3 - 116*w - 118*w as f*w + x*w**2 + u + i*w**3 and give u. 2 Express (-81 + 0 + 7)*(3*h**2 + h**2 - 6*h**2)*(-4*h - 3*h + 5*h) as u*h + j + x*h**3 + z*h**2 and give x. -296 Express p**2 - 2 + 2 + (8 + 0 - 14)*(4*p**2 - 4*p**2 - p**2) + 0*p - p - 2*p**2 - p in the form l*p**2 + v + j*p and give l. 5 Rearrange -89*g**2 + 3 + 2 + g + 87*g**2 to m*g + j*g**2 + t and give t. 5 Express -2 + 0*m**3 + 0 - 4*m**2 - 2*m**3 + 3*m**3 as d*m + z + x*m**3 + j*m**2 and give z. -2 Express (4 - 4 + 3 - 1 + 1 + 1 + (1 - 1 - 1)*(-4 + 3 - 1))*(-4 + 4 - p)*(-11*p - 26 + 26)*(-3*p + 5*p - 3*p) in the form h*p**3 + l + s*p + z*p**2 and give h. -66 Express -12*s - 1 + 2 - 3*s + 3*s in the form m*s + a and give a. 1 Express (-l + l + 4*l)*(-38 + 8*l**2 - 2*l**2 + 41) as o*l + a*l**2 + h + b*l**3 and give b. 24 Express -2*x + 4*x + 0*x + 5 - 2*x**2 in the form j*x + s*x**2 + f and give f. 5 Rearrange (0*d + 2*d - 3*d)*(2*d + 7*d - 3*d)*(-2*d - 3*d + 4*d) to the form g*d + z*d**2 + c + l*d**3 and give l. 6 Express 4*b**3 + b**3 - 3*b**3 + (2*b - b + b)*(-2*b**2 + b**2 + 2*b**2) + (-3*b**3 + 3*b**3 - 4*b**3)*(0 + 2 - 4) as z*b**2 + j*b**3 + o + l*b and give j. 12 Express -3*v**2 + 2 + 0*v**4 + 4*v**2 + 2*v**4 + 0*v**3 - v**3 in the form q*v**3 + x*v**4 + l + r*v + a*v**2 and give q. -1 Rearrange 7*z**2 - 28*z**2 - 16*z**2 to y + d*z**2 + x*z and give d. -37 Rearrange -r - 8*r + 0*r to the form a*r + t and give a. -9 Express (-y + 2*y + 2*y)*((-4 + 5 - 3)*(-1 - 1 + 0) - 1 + 1 + 3) + (-y + y - y)*(3 - 2 - 2) in the form k*y + m and give k. 22 Rearrange 2918 - 2918 + k**3 - 6*k**2 + (-2*k + 4*k + 0*k)*(k**2 + k**2 - 3*k**2) + 1 - k**3 - 1 to the form u + h*k + c*k**3 + d*k**2 and give d. -6 Rearrange 30*v + 17*v - 18*v**3 + 16*v**3 + (3*v - 3*v + 3*v**2)*(-2*v + 3 - 3) to the form g + y*v + k*v**3 + m*v**2 and give y. 47 Express 2*z**2 - 12*z**2 - 4*z**2 in the form m*z**2 + f + o*z and give m. -14 Rearrange 12*p - 15*p + 2*p + 4 + 16*p to the form l + g*p and give g. 15 Rearrange (0*z + z**2 + 0*z)*(-3 + 2*z + 3) - 3*z**3 + 3*z**3 - z**3 + (-2 - 4 + 3)*(-z + 2*z**3 + z) to the form o*z**2 + g + n*z**3 + u*z and give u. 0 Express -18*v**4 - 2*v - 11*v**4 - v**2 + 24*v**4 - 2*v in the form q*v**2 + f*v**3 + z*v + l*v**4 + g and give q. -1 Rearrange 9*c - 14*c + 18*c + 11*c to the form f + w*c and give w. 24 Express (-5*k - 11 + 11)*(-3*k + 4*k + 2*k) + k**2 + k**2 - k**2 as q + x*k**2 + a*k and give x. -14 Rearrange (0 + 0 - 2)*(20 - 2 - 2)*(-3*h**2 - 3*h**2 + 7*h**2) - 3*h**2 - h**2 + 0*h**2 to the form i*h**2 + j*h + f and give i. -36 Express 8*b + 16*b - 134*b**2 - 24*b in the form v + c*b**2 + i*b and give c. -134 Rearrange 0*r - 2*r + 4*r - 7*r to i + n*r and give n. -5 Express (2*l**3 - 4*l**3 + 4*l**3)*(-3*l + 2*l + 0*l) + l**3 - 9*l**4 + 0*l**3 - 2*l**4 in the form x*l**3 + d*l + u*l**2 + z + b*l**4 and give d. 0 Rearrange (-40 - 33*t + 40)*(-2*t**2 - 4*t**2 + 4*t**2) to the form f*t + u*t**3 + c*t**2 + o and give u. 66 Rearrange -q - 2*q + 5*q to m*q + a and give m. 2 Express (-2 - 2 + 2)*(i + 3*i - 3*i) - 31*i - 10*i - 4*i + (2*i + 0 + 0)*(-3 + 4 + 1) in the form a + s*i and give s. -43 Rearrange -3*p**2 + 2 + 3*p**2 + p**4 + 4 - p**3 to f*p + g*p**3 + v*p**2 + b + c*p**4 and give c. 1 Rearrange (-p**2 + p**2 + 3*p**2)*(0*p + 0*p + 2*p) - p - 2*p**3 + p + p**3 + 2*p**2 - 2*p**2 to v*p**3 + j*p**2 + w + c*p and give v. 5 Express 0*j**2 - 12 - 2*j**2 - 7 + 0*j**2 in the form h*j**2 + o*j + u and give u. -19 Express (3*d - 58 + 58)*(-5*d + 3*d + 3*d)*(-7*d + d + 0*d) in the form o*d**3 + z*d**2 + b*d + m and give o. -18 Express 4 + 7*m + 4*m**4 - 8*m - m**2 - m - 2*m**4 as f*m**3 + g + z*m + l*m**4 + r*m**2 and give g. 4 Express 2 + k**3 - 7 - 3*k**4 - 3*k**2 + 2*k**2 + 3 in the form c*k**3 + h*k + y*k**2 + p*k**4 + q and give c. 1 Express (-7*k**2 - 45*k**3 + 7*k**2)*((k - k + k)*(4 - 1 - 2) + 3*k - k - 4*k - 2*k + k + 0*k) as w*k**3 + y*k + m + v*k**4 + x*k**2 and give v. 90 Rearrange -1438 + 1438 - 19*q + (5 - 4 + 0)*(-4*q + 0*q + 2*q) to r + x*q and give x. -21 Express -2*v**2 - v + 5*v**4 + 3*v**4 - 10*v**4 + v**3 - 2 + 1 in the form q*v + s + m*v**2 + r*v**3 + o*v**4 and give q. -1 Rearrange 7*w**4 - 9*w**4 - w**3 + 3*w**4 + 17 to l + s*w + k*w**2 + h*w**3 + p*w**4 and give h. -1 Rearrange 2*j**4 - 6*j**2 + 0*j**3 - 4*j**3 + 4*j**2 to the form a*j**3 + m + b*j + y*j**2 + o*j**4 and give a. -4 Express 5*p**3 - 3 - 101*p**4 - 3*p + p + 103*p**4 in the form j*p**2 + w*p**4 + h*p + s + r*p**3 and give s. -3 Rearrange 12*c + 18*c - 2 + 30*c + 3*c to s*c + j and give s. 63 Express (173*n - 87*n - 94*n + (-4*n + 5*n - 3*n)*(-4 + 2 + 1))*(-n + n + 2*n) in the form j + g*n**2 + m*n and give g. -12 Express 2*p**3 - 5*p**3 + 25*p + p**3 + 3*p**3 as x*p**3 + z*p**2 + b*p + m and give b. 25 Rearrange (-4 + 0 - 5)*(3 - 1 - 1)*(4 + 27*a - 23*a + 0) to the form j*a + c and give j. -36 Express -44*t**2 - 6*t**2 + 22*t**2 in the form n + k*t + d*t**2 and give d. -28 Express -2*p**2 - 11 - 2*p**2 + 11*p**2 - 4*p**2 as z*p + n + r*p**2 and give r. 3 Rearrange 19*p**2 - 72*p + 72*p to h*p**2 + i*p + w and give h. 19 Rearrange -10*c + 9*c + 11*c + 14*c to z + q*c and give q. 24 Rearrange y**3 - y**2 + 0*y**4 + 71*y - 2*y**4 - 70*y to the form c*y**4 + z*y + k*y**2 + o*y**3 + w and give w. 0 Rearrange 2*b**3 - 2*b**3 - 2*b**3 + (5*b**2 + 3 - 3)*(2 - 2 + b + (-2*b + 0 + 0)*(1 - 2 + 3)) to the form p*b + y*b**2 + m + n*b**3 and give n. -17 Express (-8*g**2 - 4 + 4 + (2*g + 1 - 1)*(2 - 2 + g))*(-2 + 3 + 2) in the form k*g + i*g**2 + b and give i.
{ "pile_set_name": "DM Mathematics" }
- 4*i. Let n = -0.13 - -1.33. Let r = n - 1.4. Sort r, i, 1/5. r, 1/5, i Let n be -82*(2 - (-3 - 45/(-10))). Suppose -4*p - 4*q = -4, 5*p + 2*q - 3*q - 5 = 0. Sort -1, p, -4, n in descending order. p, -1, -4, n Let t = 200 + -199.5. Put 0, -5, t in ascending order. -5, 0, t Let b = -352/7 - -349/7. Let i be -1*1*(-7)/35. Sort i, 4, 0.4, b in decreasing order. 4, 0.4, i, b Let z = 0.061 + -4.761. Let r = -7.7 - z. Let q = 9 - 13. Put 1/6, r, q in decreasing order. 1/6, r, q Let w = -198 - -203. Sort w, -2/5, -1, -4 in descending order. w, -2/5, -1, -4 Let p = 6/349 + -1131/4886. Let j = -2/7 + p. Let i = 0.1 + -0.1. Sort j, i, 2 in ascending order. j, i, 2 Suppose 2*n = 5*a - 10 - 2, n = -3*a + 16. Suppose 5*i + 6 - 4 = 3*g, 1 = 3*i - 4*g. Sort -2, i, a in increasing order. -2, i, a Let z(p) = p + 4. Let c be z(-1). Sort 0, 5, c, -4 in increasing order. -4, 0, c, 5 Let k = -416 + 412. Sort 5, k, -5 in decreasing order. 5, k, -5 Suppose 52 = 5*c + 27. Suppose 9*o = 3*o + 30. Suppose -o*u = 25, -3*f - f + 2*u + 18 = 0. Put c, 1, f in ascending order. 1, f, c Let g = -573 + 569. Put -12, 0, 3, g in increasing order. -12, g, 0, 3 Suppose 0*r - 2*r + 2 = 0. Let y = -5 + 0.6. Let w = y + 4. Sort w, r, 5 in decreasing order. 5, r, w Let t be (0/6)/(28/(-7) - 0). Put 7, -1, t in increasing order. -1, t, 7 Let f be ((-25)/30)/(-1 - 4). Put 0.2, -3, f, 7 in ascending order. -3, f, 0.2, 7 Let w(t) = t**2 - t - 1. Let g = 5 - 7. Let h be w(g). Put 0, h, -14 in descending order. h, 0, -14 Suppose -3*j + j = -124. Sort -3, j, 1 in descending order. j, 1, -3 Let j = 0.106 - 0.806. Sort -3, j, 2/15. -3, j, 2/15 Let q(g) = -4*g - 209. Let r be q(-51). Sort -1/11, 3, r in descending order. 3, -1/11, r Let q(t) = t**2 - 26*t - 55. Let u be q(-2). Sort -5, -4, 17, u in decreasing order. 17, u, -4, -5 Let v = -394 + 393. Sort 2/3, 5, v, 0.3 in descending order. 5, 2/3, 0.3, v Let t = 1.4 + -1.5. Let a = 106.89 - 104. Let m = a - -0.11. Put 2, m, t in decreasing order. m, 2, t Let r be 798/(-105) - (-7 - 1). Let x = 31/3 + -11. Sort x, r, -1/5, 2/7 in decreasing order. r, 2/7, -1/5, x Let y be (-432)/104 - (-2)/13. Put 7/5, -5/3, 2, y in decreasing order. 2, 7/5, -5/3, y Suppose -m - 2*m + 15 = 0. Let o = 0.62 - 0.22. Sort 1, m, o in decreasing order. m, 1, o Let l = 242 - 31. Sort -5, -1, l. -5, -1, l Suppose 0 = v + 4*v + 40. Let x = v - -8. Suppose 5*m + 0*m = -3*l - 37, x = -3*l - 4*m - 32. Put 4, 5, l in increasing order. l, 4, 5 Suppose -3*y - 3*y = -0*y. Let q = y + -5. Sort 2/21, 2/7, 2, q in descending order. 2, 2/7, 2/21, q Let y = -30 - -28. Let w = 124 - 124.2. Sort y, -3, w in decreasing order. w, y, -3 Let s = -46 + 51. Let y be (-54)/99 + 83/11. Let b be 6/4 - 2/4. Sort y, b, s in descending order. y, s, b Let s = 172.5 + -172. Let c = 17 + -12. Let x = -2 + c. Sort s, x, -2/11 in descending order. x, s, -2/11 Let y(a) = 0*a + 2*a - 3 - 5*a + 2*a. Let o be y(4). Let d(b) = -b**3 - 8*b**2 - 6*b + 10. Let f be d(o). Sort 2, 0, f. 0, 2, f Let b(z) = 2*z**3 - 49*z**2 + 24*z + 1. Let m be b(24). Sort m, -13, -3/4, 5 in ascending order. -13, -3/4, m, 5 Let h be 95/220 + (-14)/77. Put -0.1, h, 7 in increasing order. -0.1, h, 7 Let h = -38 - -38. Suppose -4*u + 15 = -g, h = g + 3*u - 9 + 3. Let t be (-1)/(-1) - 6/(-3). Put -5, t, g in ascending order. -5, g, t Let i(w) = -4*w + 22. Let q be i(12). Let p be (-38)/342 + q/90. Let a(n) = -n**3 + n**2 - n - 4. Let h be a(0). Sort h, p, -2/7 in decreasing order. -2/7, p, h Let v be (-2)/1 + 14/8. Sort v, 10, 0.3. v, 0.3, 10 Let g(d) = d**2 - 2*d - 1. Let a be g(2). Let n(f) = -f - 1. Let s be n(0). Let q be 9*8/144*(-7 - s). Sort 5, q, a in decreasing order. 5, a, q Let g = 62.93 - 63. Put -0.5, g, 2/11, 3 in decreasing order. 3, 2/11, g, -0.5 Suppose -3*d = -d + 6. Let n be 3 + ((-3)/(-18) - d/(-18)). Put n, 5, 22 in descending order. 22, 5, n Suppose -5*d = 3*a + 40, 0 = -2*a - d - 0 - 15. Let l = 1 + -4. Suppose 2*h - 31 = 3*f + 2*f, 0 = 3*h - 5*f - 34. Sort a, h, l in decreasing order. h, l, a Let u(t) = 4*t - 64. Let o be u(21). Sort o, 2, 5 in increasing order. 2, 5, o Let b = -114 + 63. Let n = -52 - b. Sort -16, n, 3. -16, n, 3 Let c = 0.5 + -5.5. Let u = -2712 - -2708. Sort u, -3, c in descending order. -3, u, c Let f = -2149/3 - -717. Sort -1.4, f, -5 in descending order. f, -1.4, -5 Let h be 0/((-72)/8)*-1. Let d = 2.5 + -3. Sort -0.2, h, d in increasing order. d, -0.2, h Let u = 0 + 0.3. Let g be 4/(-4) - (294/(-28) - -9). Put u, g, 1, 0 in descending order. 1, g, u, 0 Suppose 5*l - 2*f - 30 = 3*f, 3*l = f + 8. Let r(y) = -y + 6. Let c be r(6). Suppose -5*p = -2*n - 5 - 25, c = -3*n. Put 5, l, p in decreasing order. p, 5, l Suppose -12 = -0*p - 2*p. Let x be ((-15)/10)/(p/8). Let v be x - (-12)/(3 - -1). Sort 3, v, -2/13 in descending order. 3, v, -2/13 Let q be (5 + (-6 - (-15)/10))/(-1). Sort q, -4, 0.5, -2/3 in descending order. 0.5, q, -2/3, -4 Let z be (55/(-22))/((-2)/(-4)). Let p be ((-11 - -1)/z)/(-22). Let w be (2/(-3))/(14/6). Put w, p, 0.4 in descending order. 0.4, p, w Suppose 1 = 5*y - 34. Let w(f) = -f + 9. Let d be w(y). Let c = 0.21 - 0.71. Put 0, c, d in descending order. d, 0, c Suppose 8 = 7*w - 5*w. Suppose w*a = 2*a - 4. Sort 2, -4, a. -4, a, 2 Let n = -8.02 - 2.98. Sort 0.4, 3, n. n, 0.4, 3 Let y = 8.58 - 13.58. Put y, -1.2, 31 in increasing order. y, -1.2, 31 Suppose 4*a - 2*k + 4*k - 72 = 0, -4*k - 116 = -5*a. Let n = a + -30. Let g be 30/250*n/(-2). Sort 2/11, -1, g in increasing order. -1, 2/11, g Let s = -19.7 + 20. Put s, -2/9, -0.1 in increasing order. -2/9, -0.1, s Suppose l - u - 1 = -4, 0 = -3*u + 9. Suppose -2*g - 8 = l, -5*x - 5 = -8*x + 5*g. Put 0.2, 5, x, 1.2 in decreasing order. 5, 1.2, 0.2, x Suppose -s - 1 = -0. Let r(b) = -b + 1. Let w be r(-4). Suppose -4*c - 2*l - 14 = 0, 25*c - 2*l = 28*c + 12. Sort c, w, s. c, s, w Let n = -139/68 - -39/17. Sort -2/15, n, -3/4, -2/9 in descending order. n, -2/15, -2/9, -3/4 Let y be (-914)/26 + 2/13. Let h = -36 - y. Sort -5, 3, h. -5, h, 3 Let s = -1 + 0.9. Let m = -2.41 + 2.11. Sort s, -2, m, 5 in increasing order. -2, m, s, 5 Let o(u) = -u**2 + 19*u - 80. Let z be o(13). Put 1, -1, z, 5 in decreasing order. 5, 1, -1, z Suppose -5*p + y = -3, 2*y + 6 + 0 = p. Suppose 3*s = c, -5*c + 4 - 16 = -3*s. Put -12, c, p in descending order. p, c, -12 Let b = 0.0663 + 0.4337. Sort -4, 5, b, 0.099 in ascending order. -4, 0.099, b, 5 Let l = -3 - -6. Suppose 575*c - 571*c = 108. Sort l, c, -1 in decreasing order. c, l, -1 Let b = 439.5 - 440. Let v = -2.1 + 0.1. Put 5, b, v in ascending order. v, b, 5 Let v = -3/226 - -699/1582. Put 78, v, 3 in decreasing order. 78, 3, v Let o = -1 + 2. Let d = -11.18 - -2.18. Sort o, 5, d. d, o, 5 Suppose 324*z - 1376 = 340*z. Put 1/2, 3/2, z, 2 in increasing order. z, 1/2, 3/2, 2 Let g = -79 - -61. Let p be 1/(-9) - 4/g. Put 5, -4, -3/5, p in descending order. 5, p, -3/5, -4 Suppose -w - 10 = -5. Let t(x) = -x**3 - 7*x**2 + 9*x + 2. Let h be t(-8). Let u = 10 + h. Sort u, w, -2 in ascending order. w, -2, u Let u be (4 + 1)/(5 + -2 + 2). Put u, -4, -2, -1 in descending order. u, -1, -2, -4 Let l be ((-15)/(-6))/(1/(-2)). Suppose 7*z - 12 = 2. Put z, 0, l in ascending order. l, 0, z Let m(n) = n**3 - 25*n**2 + 25*n - 22. Let a be m(24). Put a, -13, -12 in increasing order. -13, -12, a Let w = -0.7 + 0.2. Let y = 104/3 - 35. Let r(j) = 2*j**3 - 2*j**2 - 4*j + 4. Let t be r(2). Put t, y, w in descending order. t, y, w Suppose 6*k - 2 = 7*k. Let y(j) = -2*j**3 - 9*j**2 + 3*j - 7. Let m be y(-5). Put k, m, -3 in descending order. m, k, -3 Let s = 2.19 + -1.79. Sort -1, s, 1.1 in decreasing order. 1.1, s, -1 Let z = 18.16 + -18. Let x = z + 2.84. Put 1/3, x, -3 in increasing order. -3, 1/3, x Let r(p) = p**3 - 6*p**2 - p + 1. Let c be r(6). Let b be -4 - (-4 - (-1 + -1)). Let l be b - ((-4)/2 - -3). Sort 1, l, c in ascending order. c, l, 1 Let r = 441 + -426. Sort r, -8, 0. -8, 0, r Let j be (-182)/(-105) + -1 - (-12)/20. Sort j, -3, 4. -3, j, 4 Let r = -3 + 6. Suppose h - 5*l = 2*h - 23, -r*l = -4*h. Let o = -243 - -243.5. Put 7, h, o in ascending order. o, h, 7 Let h(r) = r**3 + 11*r**2 - r - 6. Let n be h(-11). Let y be (8 - 1) + -2*1. Let d be 2 + y*(-2)/8. Put d, n, 2/3 in ascending order. 2/3, d
{ "pile_set_name": "DM Mathematics" }
)))**2. -56*sqrt(2)/11 + 2034/121 Simplify (4*-1*sqrt(132) + sqrt(132) + 4*sqrt(132)*2)/(-4*(sqrt(12) + -1*sqrt(1200) + sqrt(1200) + sqrt(12))). -5*sqrt(11)/8 Simplify 3 + 3 + ((-1 + sqrt(99)*1 + -5)*1)**2. -36*sqrt(11) + 141 Simplify ((-2*sqrt(520))/sqrt(10)*6)/(-5*(sqrt(4) - (sqrt(4) - sqrt(8)/sqrt(2))) + sqrt(4) + (-1*sqrt(196) - sqrt(196) - sqrt(196)))*4. 48*sqrt(13)/25 Simplify (5 + -2 + sqrt(13) + sqrt(13) - (sqrt(13) + 6*(sqrt(13) + -2)))**2 + 4*(2 + (sqrt(13) - (sqrt(39)/sqrt(3) + 3)) + sqrt(13)). -146*sqrt(13) + 546 Simplify 5 + 2*(-5 + sqrt(72)/sqrt(6))*-3*3. -36*sqrt(3) + 95 Simplify -6*(-5 + ((3*sqrt(208))/(sqrt(8)/(sqrt(2)*2) + sqrt(4)))**2). -1218 Simplify ((sqrt(135) - (sqrt(135) - (sqrt(135) + -4*3*sqrt(135) - sqrt(135)) - sqrt(135)))/((sqrt(3) + -3*sqrt(108))*1))**2. 5445/289 Simplify ((-5 + 2 + sqrt(11))*4)**2 + -2*(sqrt(11) + 2)**2*1. -104*sqrt(11) + 290 Simplify -4*(sqrt(153) + (1 + sqrt(153))**2 + sqrt(153) + -2 + sqrt(153)) + sqrt(272)*3 + ((sqrt(2448) + 1)**2 - sqrt(2448)). -36*sqrt(17) + 1841 Simplify 3*((sqrt(539) - -2*(1 + sqrt(539) + sqrt(539))) + -6*(1*sqrt(539))**2). -9696 + 105*sqrt(11) Simplify (-1*(2*(0 + sqrt(2299) + sqrt(2299)) + (sqrt(2299)*1 + 0 - sqrt(2299))))**2*-2. -73568 Simplify ((1 + sqrt(272) + sqrt(272) + 0 + sqrt(272))*4 - (-1 + 3*sqrt(272) + -1))**2. 432*sqrt(17) + 22068 Simplify ((sqrt(33) + (3*sqrt(297))/sqrt(9))/((sqrt(132)*3)/sqrt(12)))**2. 16/3 Simplify 3*(-5 + (sqrt(13) - sqrt(156)/(sqrt(12)*-1) - (1 + sqrt(1573))))**2. 324*sqrt(13) + 3267 Simplify (sqrt(180)*1*1 - (-6*(2 + sqrt(180)))**2)*-5. 4290*sqrt(5) + 33120 Simplify (2*(sqrt(21)/sqrt(3)*4 + 5)*3)**2. 1440*sqrt(7) + 4932 Simplify ((2*sqrt(270) - sqrt(270))/sqrt(10) + sqrt(27) + (sqrt(27) + sqrt(27)*2 + sqrt(27) - sqrt(27)) + -2)**2*5. -300*sqrt(3) + 3395 Simplify 3*(-1*(sqrt(396) + 3) + sqrt(99)/(5*2*sqrt(9) - sqrt(9))). -53*sqrt(11)/3 - 9 Simplify ((4 + 6*(sqrt(13) + 0 + 2 + (sqrt(104) + sqrt(104) + sqrt(104)*-4 + sqrt(104))/sqrt(8) + sqrt(13)))*-2)**2. 768*sqrt(13) + 2896 Simplify -1 + -1 + 2 + 4*(sqrt(112) + 1)*2. 8 + 32*sqrt(7) Simplify -4*((sqrt(176) + 1)*6 + 5*(sqrt(176) - sqrt(176)*-2))**2. -310608 - 4032*sqrt(11) Simplify (((sqrt(117) + (sqrt(117) - sqrt(117)*1) + sqrt(117))*5 - sqrt(117))/sqrt(9)*1 + 5)*-1. -9*sqrt(13) - 5 Simplify ((sqrt(112)*5)/sqrt(4) + (sqrt(847) + 4 + -2*sqrt(847) + sqrt(847))**2)*5. 80 + 50*sqrt(7) Simplify -2*((1 + sqrt(700))*-4)**2 + 4. -22428 - 640*sqrt(7) Simplify (-5*(sqrt(51)/sqrt(3)*-4 - -3*sqrt(17)*4)*4)**2. 435200 Simplify 6*(-3*-2*sqrt(684)*6)**2 + 1. 5318785 Simplify -4*(5 + sqrt(243)*2 + ((0 + sqrt(3) + -1)**2 + sqrt(3))*3). -60*sqrt(3) - 68 Simplify 3*-6*(4 + (sqrt(1900) + -1 + 2)**2). -34290 - 360*sqrt(19) Simplify (5*(3 + (sqrt(6050) - 5*((-1*sqrt(6050) + sqrt(6050) - sqrt(6050)) + sqrt(6050))) + 3))**2. 16500*sqrt(2) + 152150 Simplify (5 + -1*sqrt(7))*4 - ((sqrt(70)*-5 - sqrt(70))/sqrt(10) - sqrt(7))*5. 20 + 31*sqrt(7) Simplify ((sqrt(80) + 3 + (sqrt(80) + (sqrt(80) + sqrt(80)*2 + sqrt(80) + sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80) - sqrt(80)))*2*-3 + 2)**2. 5376*sqrt(5) + 141376 Simplify ((sqrt(567)*4)/(sqrt(9) - (sqrt(90)*-1)/sqrt(10)))**2 - 3*5*sqrt(252). -90*sqrt(7) + 252 Simplify (sqrt(84) + (sqrt(84) - (sqrt(84) - (sqrt(84) + sqrt(84) + sqrt(84)*4)*6)))/(sqrt(48)/sqrt(4)*5)*4. 148*sqrt(7)/5 Simplify (4*sqrt(2448) + -4 + -5)**2*6. -5184*sqrt(17) + 235494 Simplify (-3*sqrt(3136)*-3)/(sqrt(175) + (sqrt(175) - (sqrt(175) + sqrt(175) + (sqrt(175)*-3*1 + sqrt(175) - sqrt(175)) + sqrt(175)))). 36*sqrt(7)/5 Simplify (6*4*((sqrt(156) + -4*sqrt(156) + sqrt(156) - sqrt(156))*4)/(sqrt(24)/(sqrt(2) - (sqrt(16)/sqrt(8) + sqrt(2)))))**2. 1078272 Simplify ((sqrt(1539) - (sqrt(1539) + -1)) + 2 - ((sqrt(190)*-2*-5)/sqrt(10))**2)*-1. 1897 Simplify -1 + (sqrt(84)/sqrt(4))/sqrt(3)*3*-1. -3*sqrt(7) - 1 Simplify ((5*sqrt(204)/sqrt(4)*4)/(4*(sqrt(3) + -5*sqrt(6)/sqrt(2))))**2. 425/16 Simplify ((sqrt(153)*2 + sqrt(153))*-2 + sqrt(153) + (sqrt(153) - (-2*sqrt(153)*-1 + sqrt(153) - sqrt(153)) - sqrt(153)))/((sqrt(729)*-2 - sqrt(729))*-2). -7*sqrt(17)/54 Simplify 3 + sqrt(147) + ((sqrt(147) - (sqrt(147) - (sqrt(147) + 1))) + -2 + sqrt(147))**2 + 4 + sqrt(147)*-1 + sqrt(147). -21*sqrt(3) + 596 Simplify (-3 + (sqrt(28) + sqrt(112) + -1*sqrt(112) + sqrt(112))/(2*sqrt(196) - sqrt(196)))**2. -18*sqrt(7)/7 + 72/7 Simplify (sqrt(5040) - (sqrt(5040) - (sqrt(5040)*-2 - sqrt(5040))))/(sqrt(28)/(sqrt(4)*-3)). 108*sqrt(5) Simplify ((sqrt(14)*-1*-5)/sqrt(2) - (-1 + (sqrt(7) - (sqrt(14)*1)/sqrt(2))))**2*-1. -176 - 10*sqrt(7) Simplify (sqrt(2299)*-1 + sqrt(2299) + 5 + sqrt(2299) - (-4*sqrt(38)/sqrt(2) - (1*sqrt(19) + 2)))*-2. -32*sqrt(19) - 14 Simplify -3 + (sqrt(12) + -5)**2 - (-4 + (sqrt(192) - (sqrt(192) + (1 + sqrt(192))**2))). -4*sqrt(3) + 231 Simplify -3*((sqrt(112)*-3)/sqrt(2))/(sqrt(140)/sqrt(5)). 9*sqrt(2) Simplify ((sqrt(112) + 2 - sqrt(7))**2 - (-3 + sqrt(21)/sqrt(3))) + (-3*sqrt(1400))/sqrt(8). -4*sqrt(7) + 70 Simplify (-1*sqrt(1216)*-6 + -1)**2 + (1*sqrt(1216) + sqrt(1216))**2*-4*5. -53503 - 96*sqrt(19) Simplify 5 + (sqrt(880)*6)/(-2*sqrt(180) - sqrt(180)). -4*sqrt(11)/3 + 5 Simplify 6*(5 + ((sqrt(832)*1)**2 + 5)*-4*6). -120498 Simplify -6*(-2 + -1 + (sqrt(208) - sqrt(13))) - (-6*sqrt(143)*-1)/(sqrt(121)/(sqrt(22)/sqrt(2))). -24*sqrt(13) + 18 Simplify (((4*-1*sqrt(396) - (4*sqrt(396) + 0 - sqrt(396))) + 0)*6)**2. 698544 Simplify ((sqrt(66)*1*-6*3)/((sqrt(726) - (sqrt(726)*1 - sqrt(726) - sqrt(726) - sqrt(726))) + sqrt(72)/sqrt(3)))**2. 3564/1225 Simplify (sqrt(304) + -1 + sqrt(304) + -4)**2 + -2 + (5 + sqrt(304)*1 - sqrt(304) - sqrt(304) - 4*((1 + sqrt(304))**2 - sqrt(304))). -100*sqrt(19) + 24 Simplify 6*(2 + ((sqrt(102)*1)/sqrt(6))**2 + 3). 132 Simplify -3 + (1*(4*(sqrt(13) + -3 + sqrt(13)) + sqrt(13) + sqrt(13) + sqrt(637)*2 + sqrt(637)))**2. -744*sqrt(13) + 12634 Simplify ((sqrt(108) + 0)*6 + (sqrt(108) - (sqrt(108) + 1))*4)**2. -288*sqrt(3) + 3904 Simplify (-5*-2*(sqrt(343) + -2*sqrt(343))*6)**2*4. 4939200 Simplify (-2 + sqrt(432) + -2 + -4 + sqrt(432) - (4 + 4*sqrt(432)*1))**2. 576*sqrt(3) + 1872 Simplify (sqrt(99) - 5*sqrt(99)*2 - (sqrt(1100) - (sqrt(1100) + sqrt(1100) + sqrt(1100) + 2*sqrt(1100) + sqrt(1100)))*6)*1. 273*sqrt(11) Simplify 6*(-4*(sqrt(162) + 1) - -3*(sqrt(162) + -2))**2. 1080*sqrt(2) + 1572 Simplify (sqrt(360)/(sqrt(48)/(2*sqrt(4))))/(-3*sqrt(1000)*-1 + sqrt(1000) - sqrt(1000))*5. sqrt(3)/3 Simplify ((sqrt(288)/sqrt(6))**2 - sqrt(12)/sqrt(64)) + 0. -sqrt(3)/4 + 48 Simplify (((sqrt(77) + sqrt(77)*-1)*-6 + 1*sqrt(77)*-1)/(sqrt(22)/(-5*sqrt(288))))**2. 25200 Simplify 1 + (sqrt(85)/sqrt(5)*6)**2 - (sqrt(85) - (sqrt(85) - -1*sqrt(85)*1))/sqrt(5). sqrt(17) + 613 Simplify (4 + -5*((sqrt(468) + -2 - sqrt(468)) + -4 + 0 + 5))**2. 81 Simplify 5*(-4 + -2 + 1*(sqrt(704) - (-1 + sqrt(704))) + -1)**2. 180 Simplify (2*sqrt(21)*1 + (sqrt(21) - 2*sqrt(21))*-3)/(sqrt(567)*-2*1). -5*sqrt(3)/18 Simplify (2 + sqrt(405))*-4 + sqrt(15)/(sqrt(147) - sqrt(147)*-4). -1259*sqrt(5)/35 - 8 Simplify 2 + (3 + -6*(sqrt(567) + 2) + sqrt(567) + -1)**2. 900*sqrt(7) + 14277 Simplify -2 + sqrt(72)*1 + sqrt(72) + sqrt(162) + -1 + sqrt(4)/sqrt(2)*-3 + 2. -1 + 18*sqrt(2) Simplify (5 + (3 + 2 + sqrt(343)*-2 - (-1*sqrt(343)*-5 - sqrt(343) - sqrt(343))*-3))**2. 980*sqrt(7) + 16907 Simplify (sqrt(360)/sqrt(36))/sqrt(8) - ((sqrt(315) + (sqrt(315) + (sqrt(315) - (sqrt(315) + sqrt(315)*1) - sqrt(315)) - sqrt(315)))/sqrt(9))/sqrt(7). 3*sqrt(5)/2 Simplify (2 + (sqrt(147)*2)**2 + 0)*-1*1. -590 Simplify -4*(-6*(2*sqrt(475))**2 + sqrt(475)) - (sqrt(475)*3 + 5)*1. -35*sqrt(19) + 45595 Simplify (sqrt(34)/sqrt(72) + (sqrt(68) + -2 - sqrt(68)) + 4)**2. 2*sqrt(17)/3 + 161/36 Simplify 1 + ((-1*sqrt(150))/sqrt(3))/(-2*sqrt(250) + sqrt(250)). sqrt(5)/5 + 1 Simplify ((-5 + 0 + 0 + (sqrt(832) - sqrt(832)*-5))*-5)**2. -12000*sqrt(13) + 749425 Simplify (sqrt(3564) - (6*2*sqrt(3564) - sqrt(3564)))/(sqrt(20)/sqrt(80) - (sqrt(4) + -2*sqrt(144) + sqrt(144))). -120*sqrt(11)/7 Simplify (-3*sqrt(3645)*4)/(sqrt(18)/sqrt(2)*6*4). -9*sqrt(5)/2 Simplify (2 + sqrt(65)/(sqrt(20)*1))*1. sqrt(13)/2 + 2 Simplify -3*((sqrt(7)*-4 + sqrt(7) - sqrt(7))*6 - ((sqrt(7) + 1)*6)**2). 288*sqrt(7) + 864 Simplify 1 + (sqrt(95)*2*-2 + sqrt(95) + sqrt(95) + sqrt(95))/(sqrt(5)
{ "pile_set_name": "DM Mathematics" }
ite? True Is 57036491 a composite number? False Is 18064883 a prime number? False Is 916145434 a prime number? False Is 3501577 prime? False Is 47959403 a composite number? False Is 215533 a composite number? True Is 15163 a composite number? True Is 1871759 prime? False Is 1028419 a composite number? True Is 54135511 prime? True Is 101895869 prime? True Is 10725581 prime? False Is 140416261 composite? True Is 5040221 a prime number? True Is 4539289 a composite number? True Is 17547245 a composite number? True Is 5392709 a composite number? True Is 135080203 prime? True Is 24624307 a prime number? True Is 1275269 a composite number? False Is 8066717 a prime number? True Is 50580091 composite? False Is 1187897 a composite number? False Is 32398293 a composite number? True Is 4457261 a prime number? False Is 138284051 composite? False Is 635413 composite? False Is 15369961 a composite number? True Is 54518459 a composite number? False Is 193604237 prime? True Is 497273 prime? 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False Is 55061257 prime? True Is 59551253 prime? True Is 20672543 a composite number? True Is 6874499 a prime number? True Is 29110591 a composite number? True Is 11238361 prime? False Is 307381 a composite number? False Is 14620207 composite? True Is 26092853 composite? False Is 479931 composite? True Is 1441931 a composite number? False Is 85077863 composite? True Is 386471 a composite number? False Is 114024401 a composite number? False Is 15468205 composite? True Is 146228303 a composite number? True Is 44855137 a prime number? False Is 103163851 prime? False Is 1721729 composite? False Is 233867 a composite number? True Is 86746061 composite? False Is 3671479 a composite number? True Is 3984569 prime? False Is 2479957 composite? True Is 6414173 a prime number? True Is 85597 a composite number? False Is 105652003 composite? False Is 540901 a prime number? True Is 15440083 a composite number? True Is 2028059 composite? True Is 9292033 a composite number? True Is 87747857 a prime number? False Is 14407553 a prime number? True Is 102594938 a prime number? False Is 1697842 a prime number? False Is 37801817 a prime number? True Is 59600477 a composite number? True Is 12470927 a prime number? False Is 243213617 a prime number? False Is 61735187 composite? True Is 6638389 a prime number? False Is 588347 composite? False Is 420672317 composite? True Is 21959989 a composite number? True Is 20099147 a composite number? True Is 98956057 prime? True Is 2899489 composite? False Is 115349441 composite? True Is 3353281 composite? False Is 1555231 prime? True Is 3806281 prime? True Is 11567813 a composite number? False Is 7787183 a prime number? True Is 36137237 composite? False Is 13446017 prime? False Is 26513063 composite? True Is 26378059 a composite number? False Is 769357 prime? True Is 26457 prime? False Is 23210249 a composite number? False Is 119040193 prime? True Is 45820739 composite? True Is 377963 a prime number? True Is 82641113 composite? False Is 22820009 composite? True Is 8391347 a composite number? True Is 72661181 prime? True Is 3200081 a composite number? False Is 11895973 a prime number? True Is 24250969 a composite number? False Is 6981413 composite? True Is 54219677 prime? True Is 10408649 composite? False Is 359837 prime? True Is 6239227 prime? True Is 11488903 prime? True Is 5499629 prime? False Is 39213842 a composite number? True Is 4455743 a composite number? False Is 1931783 composite? True Is 23109701 composite? True Is 14476643 a composite number? False Is 137261209 a composite number? False Is 193648769 a prime number? True Is 1426781 a composite number? False Is 338483 a prime number? False Is 144482857 prime? False Is 6404897 prime? False Is 3297683 a prime number? True Is 82010303 composite? True Is 3509011 a composite number? True Is 165912671 a composite number? True Is 27216749 prime? False Is 545104159 prime? True Is 155423 prime? True Is 32671279 composite? True Is 218610031 a composite number? True Is 141443571 a composite number? True Is 1049401 a prime number? False Is 4375729 a composite number? False Is 4516969 a composite number? False Is 53775341 a composite number? True Is 13392979 a composite number? True Is 75294287 a composite number? False Is 19591051 a prime number? True Is 3083359 a composite number? False Is 36438889 a composite number? False Is 103943039 composite? True Is 124386007 a prime number? True Is 5690129 prime? True Is 3250351 a composite number? True Is 733834643 prime? False Is 10172267 composite? True Is 1594556179 prime? True Is 1315586 a prime number? False Is 29850671 a prime number? True Is 52284473 prime? False Is 2505449 a composite number? True Is 29202167 prime? True Is 10492159 composite? False Is 1576181 a prime number? False Is 192058397 composite? False Is 67658329 composite? False Is 15204131 prime? True Is 55720127 a composite number? True Is 85367 composite? True Is 8761237 a composite number? False Is 7573505 a prime number? False Is 163545731 a prime number? False Is 8457043 a composite number? True Is 3138391 prime? True Is 951035 composite? True Is 7548599 prime? True Is 1717311 composite? True Is 86607589 prime? True Is 195698483 prime? True Is 468127 a prime number? False Is 484553 composite? True Is 120634627 a prime number? True Is 2383427 prime? True Is 2406961 composite? True Is 22787749 composite? False Is 22081693 prime? True Is 4734989 a composite number? True Is 296632613 prime? False Is 127638739 prime? True Is 27205543 composite? False Is 27416299 a composite number? True Is 1892873 a composite number? True Is 14151199 a composite number? False Is 395846587 a prime number? True Is 22167263 a composite number? True Is 26634617 a composite number? True Is 55864777 composite? True Is 2044901 a composite number? False Is 687525853 prime? False Is 57990641 composite? True Is 20021371 a prime number? False Is 430453 a prime number? True Is 586973 prime? True Is 38482699 a composite number? False Is 2055917 prime? True Is 487855 a prime number? False Is 1304269 a composite number? True Is 7966199 composite? False Is 2403353 prime? False Is 15870247 a prime number? True Is 291080005 prime? False Is 368326129 a prime number? False Is
{ "pile_set_name": "DM Mathematics" }
imeter? 900 What is thirty-one fifths of a millimeter in micrometers? 6200 How many minutes are there in 5/8 of a day? 900 What is 1290.879m in micrometers? 1290879000 What is 6/25 of a microgram in nanograms? 240 How many millilitres are there in 6/25 of a litre? 240 What is seven quarters of a kilogram in grams? 1750 What is fourty-five quarters of a litre in millilitres? 11250 How many minutes are there in 7/4 of a day? 2520 What is 67/4 of a litre in millilitres? 16750 What is 811797.5 hours in milliseconds? 2922471000000 What is five quarters of a litre in millilitres? 1250 How many centuries are there in 1/10 of a millennium? 1 What is 0.5461255kg in grams? 546.1255 How many nanoseconds are there in 6/25 of a microsecond? 240 How many litres are there in 427226.8ml? 427.2268 How many centimeters are there in 27/5 of a meter? 540 Convert 7.569967ug to milligrams. 0.007569967 Convert 987.6366um to kilometers. 0.0000009876366 Convert 7.894898 millennia to centuries. 78.94898 How many millennia are there in 1159.06 decades? 11.5906 What is 9733.576 litres in millilitres? 9733576 How many milligrams are there in seventeen halves of a gram? 8500 What is 17/2 of a millennium in centuries? 85 What is 15/4 of a litre in millilitres? 3750 How many months are there in 7/3 of a century? 2800 What is eleven eighths of a litre in millilitres? 1375 Convert 0.7136784m to centimeters. 71.36784 Convert 4481.556 millennia to years. 4481556 What is fifty-seven fifths of a century in years? 1140 How many months are there in 2/15 of a millennium? 1600 What is fifteen quarters of a litre in millilitres? 3750 How many micrograms are there in three fifths of a milligram? 600 What is 689090.5 centimeters in nanometers? 6890905000000 How many millilitres are there in 89.79783 litres? 89797.83 What is seven eighths of a decade in months? 105 How many centimeters are there in 975672.2 kilometers? 97567220000 What is twenty-one quarters of a microgram in nanograms? 5250 How many millilitres are there in one tenth of a litre? 100 How many millilitres are there in 6/5 of a litre? 1200 How many days are there in 1008.27477 seconds? 0.011669846875 What is ten thirds of a year in months? 40 How many millilitres are there in six fifths of a litre? 1200 Convert 0.7808248 years to months. 9.3698976 What is 42.49868ml in litres? 0.04249868 How many months are there in 1/10 of a century? 120 How many centimeters are there in 0.8524536mm? 0.08524536 Convert 53235.35 millilitres to litres. 53.23535 How many minutes are there in thirty-one fifths of a hour? 372 How many seconds are there in 501.6353 days? 43341289.92 Convert 73663.83 litres to millilitres. 73663830 Convert 642390.7ng to grams. 0.0006423907 What is 1/5 of a milligram in micrograms? 200 What is 37/2 of a century in months? 22200 How many micrograms are there in 25/2 of a milligram? 12500 What is three eighths of a minute in milliseconds? 22500 What is 801236.7 decades in months? 96148404 What is 91.89641 millennia in decades? 9189.641 How many kilograms are there in eighteen fifths of a tonne? 3600 Convert 9924.181ug to kilograms. 0.000009924181 What is 1056.242 years in millennia? 1.056242 How many millennia are there in 236.61429 months? 0.0197178575 How many microseconds are there in eleven tenths of a millisecond? 1100 What is three fifths of a litre in millilitres? 600 What is 3/8 of a micrometer in nanometers? 375 How many years are there in 1/5 of a decade? 2 How many hours are there in fourty-three thirds of a week? 2408 What is 3/5 of a milligram in micrograms? 600 What is 11/10 of a centimeter in micrometers? 11000 Convert 92670.5 weeks to hours. 15568644 How many kilograms are there in one quarter of a tonne? 250 What is one sixth of a millennium in months? 2000 What is 7.124703ng in milligrams? 0.000007124703 What is 0.853074 millilitres in litres? 0.000853074 What is 2/45 of a week in seconds? 26880 Convert 3986.012 weeks to seconds. 2410740057.6 Convert 0.5310685ml to litres. 0.0005310685 How many years are there in 9212.137 centuries? 921213.7 How many millilitres are there in 55/4 of a litre? 13750 What is 2/125 of a tonne in kilograms? 16 How many centuries are there in 18995.94 months? 15.82995 What is 42133.41 days in hours? 1011201.84 How many grams are there in 10325.79mg? 10.32579 What is fourty-five halves of a kilometer in meters? 22500 How many millilitres are there in 21/5 of a litre? 4200 What is 929.1834 years in decades? 92.91834 How many millilitres are there in 3/25 of a litre? 120 What is 238.38102 months in centuries? 0.19865085 What is twenty-nine fifths of a decade in years? 58 Convert 76822.66m to centimeters. 7682266 How many seconds are there in 53/5 of a minute? 636 Convert 979.9613um to kilometers. 0.0000009799613 What is 1/5 of a minute in milliseconds? 12000 What is nineteen quarters of a decade in months? 570 What is 362.1847 centimeters in micrometers? 3621847 Convert 852.9091 kilometers to meters. 852909.1 How many micrometers are there in seventeen halves of a millimeter? 8500 Convert 266.8037 millilitres to litres. 0.2668037 Convert 645.7429cm to micrometers. 6457429 Convert 1439884.971 seconds to weeks. 2.3807621875 How many months are there in five eighths of a decade? 75 How many millilitres are there in fifteen quarters of a litre? 3750 What is 1/64 of a millimeter in nanometers? 15625 How many days are there in 15.6801258 milliseconds? 0.0000001814829375 How many kilograms are there in 415391.6 grams? 415.3916 How many years are there in 534.6395 decades? 5346.395 Convert 83187.64 micrograms to nanograms. 83187640 How many millilitres are there in one fifth of a litre? 200 Convert 0.977745 grams to kilograms. 0.000977745 What is twenty-one quarters of a millimeter in micrometers? 5250 What is fourty-nine quarters of a century in months? 14700 How many centimeters are there in 1/16 of a kilometer? 6250 How many nanoseconds are there in eleven halves of a microsecond? 5500 How many kilograms are there in 11/4 of a tonne? 2750 What is 206572.3 centuries in millennia? 20657.23 What is 85.0803mm in centimeters? 8.50803 What is 273.90393 months in years? 22.8253275 How many kilograms are there in 0.7416023 milligrams? 0.0000007416023 Convert 0.5448342um to meters. 0.0000005448342 What is 5/24 of a day in minutes? 300 What is 37/2 of a millennium in years? 18500 How many months are there in 1/15 of a decade? 8 How many months are there in thirty-three fifths of a decade? 792 How many millennia are there in 8012.959 years? 8.012959 How many millilitres are there in twenty-one quarters of a litre? 5250 How many days are there in 868.20903 nanoseconds? 0.000000000010048715625 Convert 511.5661mm to micrometers. 511566.1 What is 2607698.88ns in days? 0.0000000301817 How many millilitres are there in 52/5 of a litre? 10400 Convert 0.4122793 weeks to microseconds. 249346520640 What is 26/5 of a day in minutes? 7488 What is 68.38069 micrometers in kilometers? 0.00000006838069 Convert 130.0663 decades to millennia. 1.300663 Convert 0.5834809um to millimeters. 0.0005834809 How many litres are there in 91.52108ml? 0.09152108 What is 25/4 of a millimeter in micrometers? 6250 How many millimeters are there in 6/5 of a meter? 1200 How many micrograms are there in 1/5 of a milligram? 200 What is 1/4 of a micrometer in nanometers? 250 How many micrograms are there in one fifth of a milligram? 200 What is thirteen fifths of a centimeter in micrometers? 26000 How many decades are there in 42/5 of a millennium? 840 How many millilitres are there in 49/5 of a litre? 9800 How many millilitres are there in five eighths of a litre? 625 What is twenty-one halves of a millisecond in microseconds? 10500 How many months are there in 27/4 of a year? 81 How many months are there in 339.0547 years? 4068.6564 What is 802807.7mm in centimeters? 80280.77 Convert 2396.483 weeks to hours. 402609.144 How many millilitres are there in 3/50 of a litre? 60 What is 2/27 of a week in seconds? 44800 How many millilitres are there in 3/5 of a litre? 600 What is twenty-one quarters of a litre in millilitres? 5250 What is one fifteenth of a week in minutes? 672 What is 0.1946166 litres in millilitres? 194.6166
{ "pile_set_name": "DM Mathematics" }
241.0808 34601 times 22773 787968573 Calculate 5351178*-34. -181940052 What is -0.13201613 times -25? 3.30040325 -8000709*-2 16001418 Product of 75 and 3569054. 267679050 What is the product of 35 and -562693? -19694255 Product of 105.9583 and -16. -1695.3328 What is the product of -32838006 and -0.2? 6567601.2 0.076181*-531 -40.452111 What is -0.250088086 times -1? 0.250088086 -715704 times -45 32206680 Work out 0 * 37070166. 0 Work out -2 * -539.5848. 1079.1696 -53 * 1287792 -68252976 2*18089889 36179778 Product of -10843 and -0.704. 7633.472 -13950 times 64008 -892911600 -10.689 times 2.62 -28.00518 -50324 * 3315 -166824060 0.3883 times 1.14 0.442662 What is the product of 201.04 and -0.0998? -20.063792 What is the product of -1003761 and 0.445? -446673.645 216.941*-3.78 -820.03698 Calculate 0.21273693*-4. -0.85094772 What is -3 times 142.408919? -427.226757 Work out -720833 * 4. -2883332 Product of 3.6234569 and -0.1. -0.36234569 Multiply 0.95 and -3651. -3468.45 12.2445*5252 64308.114 What is the product of -0.2 and -7257842? 1451568.4 Multiply -14.36744 and -38. 545.96272 What is 26251519 times 7? 183760633 Work out -92.0605 * 44. -4050.662 Product of 34.00204 and -3. -102.00612 Multiply -0.0162 and -344599. 5582.5038 What is the product of 281 and -40965? -11511165 0.13478 * 4.808 0.64802224 -593730*-0.03 17811.9 Multiply -1429729169 and -0.2. 285945833.8 What is the product of 598600 and 7? 4190200 677491 times 82 55554262 -24.5411*-573 14062.0503 What is -0.2811 times -0.03381? 0.009503991 What is the product of 6 and 1050.56? 6303.36 Calculate -104827245*0.8. -83861796 Work out -27 * -5089727. 137422629 Calculate 1952*0.032398. 63.240896 What is -1383 times -0.6512? 900.6096 -5.97962986 times -0.5 2.98981493 What is the product of -11002 and -4915? 54074830 -1 * -23261250 23261250 Multiply -3225 and 0.43332. -1397.457 -66377.4*2269 -150610320.6 484524 * 0.58 281023.92 -4*16.31137 -65.24548 -15.1552 times -0.14 2.121728 Product of -1.3 and -1.48439. 1.929707 5 * -6.7743755 -33.8718775 Calculate -1.82352*0.079. -0.14405808 Calculate 3.283493*0.4. 1.3133972 What is the product of 149786 and -2.282? -341811.652 -4399756 * -5 21998780 What is -375296 times -13.2? 4953907.2 -0.07263171 times -0.4 0.029052684 What is -3559 times 23855? -84899945 48116506*1.6 76986409.6 Multiply 62.63 and -897. -56179.11 Multiply -10076.57 and -7.9. 79604.903 Work out -232.873 * -2.9. 675.3317 -715755 times -46 32924730 -4 times -929570 3718280 Calculate -7*2.28084. -15.96588 5917 * 6.2 36685.4 Calculate 99704*-3533. -352254232 Work out 21.8 * 0.07983. 1.740294 1763 times 0.00125 2.20375 -33902 times -383 12984466 Multiply 0 and -10.6101897. 0 Multiply 0.2 and 0.0979609. 0.01959218 -15838878*0.3 -4751663.4 27517 * -11 -302687 What is the product of 143931495 and 0.09? 12953834.55 What is -1397 times 153318? -214185246 Work out 100 * -707734. -70773400 Work out -2393 * -38818. 92891474 Calculate 115*-98.4806. -11325.269 -8402 * -2345 19702690 -88322.25 * -0.1 8832.225 17 times 376765 6405005 Product of 0.16 and 5453299. 872527.84 124690*243 30299670 Work out 45.07117 * -0.3. -13.521351 What is 69 times 8432.09? 581814.21 What is 0.31 times -157.04? -48.6824 Work out 5 * -6370.0807. -31850.4035 -11448 * 1459 -16702632 4 times -0.268105 -1.07242 Work out 0.87304989 * -4. -3.49219956 Product of 0.035651921 and -25. -0.891298025 Work out -2 * -2440395. 4880790 0.39 times 1015929 396212.31 What is 0 times 131744.09? 0 What is -930.65 times -0.222? 206.6043 -4 * 1.12753 -4.51012 Calculate -12.4836*328. -4094.6208 13 times 5518 71734 443.7642*-19 -8431.5198 Work out -5 * -147047033. 735235165 Multiply 2774344 and -7. -19420408 Calculate -1.80872*25.9. -46.845848 Calculate -11752241*0.5. -5876120.5 Product of -1553067.79 and -0.1. 155306.779 What is the product of 20 and -149123.6? -2982472 Multiply -21 and 114163. -2397423 Work out 35.3 * -582313. -20555648.9 17769*36725 652566525 Product of -1266 and 0.0474054. -60.0152364 Calculate 317599*0.56. 177855.44 What is the product of 0.4 and -28595420? -11438168 What is the product of -6 and 121.54092? -729.24552 What is the product of -0.01826089 and -2? 0.03652178 -2 times -1670.989 3341.978 Calculate -3835362*-4. 15341448 Calculate 0.59*1101511. 649891.49 Work out -0.053 * -127065. 6734.445 What is the product of 41782063 and -0.3? -12534618.9 Work out -197110 * 1.99. -392248.9 Calculate 23*-250043. -5750989 What is 0.3 times 12455370? 3736611 68.6*15059 1033047.4 Work out 0.5 * -2.0575279. -1.02876395 56828 * 153 8694684 Product of 26592.25 and -0.5. -13296.125 What is -451 times 0.4964? -223.8764 Product of 10 and 95625.16. 956251.6 Multiply 0.106346 and -106. -11.272676 Multiply -4 and -3501068. 14004272 -29120*174 -5066880 What is the product of 0.16 and 1508.731? 241.39696 1.957 times 53909 105499.913 Calculate -0.036*333743. -12014.748 Work out -45235 * 63. -2849805 -2.24512 times -1.87 4.1983744 Multiply 0.262 and 276946. 72559.852 Product of -5324.403 and -0.2. 1064.8806 Multiply -0.4 and 1.154414. -0.4617656 Multiply 0.00836 and -0.088. -0.00073568 Multiply 0.039 and -1556309. -60696.051 Multiply -3358 and 6937. -23294446 Multiply 345.8971 and -0.04. -13.835884 Multiply -1786 and -319.16. 570019.76 Multiply -0.3 and -7091840. 2127552 Calculate -76299.29*14. -1068190.06 Calculate -2.59236*-2. 5.18472 What is 0.125 times 36.4384? 4.5548 Multiply 557549 and 0.059. 32895.391 31594772*-0.3 -9478431.6 What is the product of 1096907 and 0.013? 14259.791 Product of 0.1 and 12924244. 1292424.4 Multiply -2 and 70679404. -141358808 Calculate 61647*4.7. 289740.9 Calculate -17.4*-301.238. 5241.5412 -48926091*-2 97852182 Product of -2451255 and -4. 9805020 -0.2 * -2106596 421319.2 What is the product of -3153598.2 and 1.4? -4415037.48 Calculate -885*1115.7. -987394.5 Calculate 107291*-65. -6973915 Calculate 0.36*-15736. -5664.96 Work out -55607 * 8. -444856 What is 0.02308 times -116.08? -2.6791264 Multiply -303 and -5758. 1744674 258 * -1901.14 -490494.12 Calculate 0.5*2326192. 1163096 Product of 35.47 and 2299. 81545.53 Multiply -0.4 and 155276297. -62110518.8 Product of -15711 and -1386.6. 21784872.6 7.8 times -167949 -1310002.2 2 * 160758 321516 -18 * -0.14669683 2.64054294 -24.8 times -506.3105 12556.5004 Multiply -1.83 and 14972. -27398.76 Product of 114 and -1977760. -225464640 9.11*-20452.5 -186322.275 What is the product of -19.791 and 0.058? -1.147878 Multiply 12.879 and -1.19. -15.32601 Calculate 13*-11284240. -146695120 What is the product of 543051.23 and 0? 0 -11 times -819831 9018141 Multiply 25 and 317325. 7933125 -35063 times -5814 203856282 What is -50021 times 103.6? -5182175.6 0.09 * 26962362 2426612.58 Calculate 0.0393*-241.46. -9.489378 0.3449 * -132 -45.5268 3448 * -20225 -69735800 Multiply 56186770 and -0.5. -28093385 531234 times -18 -9562212 What is -0.37807396 times 16? -6.04918336 -52*176705 -9188660 What is the product of -4653.65922 and 0.5? -2326.82961 Multiply 1471742 and -48. -70643616 What is 5062258.5 times -26? -131618721 Work out 2 * -267118. -534236 Product of -0.3 and -42764306. 12829291.8 Work out 0.71423 * 306. 218.55438 What is 0.5 times -40891055? -20445527.5 Multiply -306.1 and -149.1. 45639.51 Multiply 0.05 and 1858261. 92913.05 -232 times 3.568045 -827.78644 68055769.3 * -5 -340278846.5 10799658*0.4 4319863.2 Work out 494 * -9.835. -4858.49 Work out -88206.1 * -41. 3616450.1 What is the product of 1.4 and -3491240.4? -4887736.56 -0.25*-3633.1 908.275 Calculate 10.290409*-3. -30.871227 What is the product of -0.307 and -442416? 135821.712 What is -9.953 times -728? 7245.784 Product of 4421882 and -9. -39796938 27.47 * 1517 41671.99 0.5*3871769 1935884.5 Product of 56273008 and 2. 112546016 6021 * 7.754 46686.834 13.6 times -0.002366 -0.0321776 5695.03 times 0.28 1594.6084 Multiply -80648.85 and 4. -322595.4 Multiply -13848 and -69. 955512 -5 times -5751975 28759875 What is the product of 2670510 and -0.14? -373871.4 129598 * 116.7 15124086.6 1211144 * -3 -3633432 What is the product of 0.029504 and -5.78? -0.17053312 Product of -3 and -0.02332. 0.06996 849614*-0.17 -144434.38 What is 0.0773546 times -2? -0.1547092 Product of 5.8 and -1.605845. -9.313901 Multiply 435463 and
{ "pile_set_name": "DM Mathematics" }
0 rounded to the nearest one hundred thousand? -1700000 What is -28674000 rounded to the nearest one million? -29000000 What is 0.0055389 rounded to 5 decimal places? 0.00554 Round -0.0001139 to five decimal places. -0.00011 What is -0.0017861 rounded to four dps? -0.0018 What is 0.315 rounded to 2 decimal places? 0.32 What is -0.000006372 rounded to six dps? -0.000006 What is 723500 rounded to the nearest 10000? 720000 Round 6831.6 to the nearest 10. 6830 Round -71.886 to the nearest integer. -72 What is -3.52134 rounded to two dps? -3.52 What is 23.356 rounded to zero decimal places? 23 Round 0.000002071 to 7 decimal places. 0.0000021 What is 0.0000692 rounded to five decimal places? 0.00007 Round 1.11 to one dp. 1.1 Round 452.885 to the nearest ten. 450 What is -240000 rounded to the nearest 1000000? 0 Round 0.04014 to three dps. 0.04 What is 0.004514 rounded to 2 dps? 0 Round 1472320 to the nearest ten thousand. 1470000 What is -0.2899 rounded to two decimal places? -0.29 Round -5335.43 to the nearest 100. -5300 Round 0.016621 to 4 decimal places. 0.0166 Round 2.1076 to two decimal places. 2.11 Round -4676800 to the nearest 100000. -4700000 Round -4006 to the nearest one hundred. -4000 Round 479610 to the nearest 10000. 480000 Round 1 to the nearest integer. 1 Round 25161500 to the nearest 1000000. 25000000 Round -0.00007301 to 5 dps. -0.00007 Round 58210 to the nearest 1000. 58000 What is -10300 rounded to the nearest one thousand? -10000 What is -5.48 rounded to zero dps? -5 Round -44411000 to the nearest 1000000. -44000000 What is -0.00462 rounded to 2 dps? 0 Round -0.16011 to 2 dps. -0.16 What is -0.00023959 rounded to 6 dps? -0.00024 What is 13688100 rounded to the nearest one million? 14000000 Round -0.00459 to 3 dps. -0.005 What is -0.00055764 rounded to 4 decimal places? -0.0006 What is 0.136782 rounded to 2 dps? 0.14 Round -839 to the nearest 1000. -1000 What is -0.0000038 rounded to four dps? 0 What is 42410000 rounded to the nearest one million? 42000000 What is 198140 rounded to the nearest 1000? 198000 What is 2790000 rounded to the nearest one hundred thousand? 2800000 What is -18067 rounded to the nearest 1000? -18000 What is 6140000 rounded to the nearest 1000000? 6000000 What is -17.16 rounded to zero decimal places? -17 What is 1402000 rounded to the nearest ten thousand? 1400000 What is 9.722 rounded to 0 dps? 10 What is 303.4 rounded to the nearest ten? 300 Round -3301410 to the nearest 1000000. -3000000 Round 18.976 to one dp. 19 What is 0.000000832 rounded to seven decimal places? 0.0000008 Round -4.88888 to two dps. -4.89 Round 0.000005343 to seven decimal places. 0.0000053 Round 0.00000139739 to 7 decimal places. 0.0000014 Round -583 to the nearest 1000. -1000 What is 0.050621 rounded to three decimal places? 0.051 Round -0.0493 to two decimal places. -0.05 What is -697378 rounded to the nearest one thousand? -697000 What is -0.31199 rounded to 3 dps? -0.312 Round 932200 to the nearest ten thousand. 930000 What is 0.0000000831 rounded to 7 decimal places? 0.0000001 Round -186360 to the nearest one thousand. -186000 Round 2039000 to the nearest one hundred thousand. 2000000 What is 758 rounded to the nearest one hundred? 800 What is 10110000 rounded to the nearest 1000000? 10000000 What is 108475000 rounded to the nearest one hundred thousand? 108500000 What is 13570 rounded to the nearest 1000? 14000 Round 86930000 to the nearest 1000000. 87000000 What is 101440000 rounded to the nearest one hundred thousand? 101400000 What is -0.0029857 rounded to five dps? -0.00299 Round -14.91 to 1 decimal place. -14.9 What is -66112900 rounded to the nearest one hundred thousand? -66100000 Round 6630 to the nearest one hundred. 6600 Round 386490 to the nearest ten thousand. 390000 What is -0.074 rounded to 2 dps? -0.07 What is 3055 rounded to the nearest one thousand? 3000 What is -1631000 rounded to the nearest ten thousand? -1630000 What is 466 rounded to the nearest ten? 470 Round -0.00012076 to 5 dps. -0.00012 What is 0.095667 rounded to two decimal places? 0.1 What is 213.8 rounded to the nearest integer? 214 Round 29373000 to the nearest one hundred thousand. 29400000 Round -150.97 to the nearest integer. -151 What is 16350 rounded to the nearest one hundred? 16400 Round 0.0064872 to 4 dps. 0.0065 What is 6660 rounded to the nearest 1000? 7000 What is -0.0000043064 rounded to six decimal places? -0.000004 What is -92.083 rounded to 0 dps? -92 What is -0.0899 rounded to two dps? -0.09 What is -0.0028969 rounded to 4 dps? -0.0029 What is 59.93 rounded to zero dps? 60 Round -5361.5 to the nearest 100. -5400 What is -7.49 rounded to one dp? -7.5 Round 0.01286 to 3 decimal places. 0.013 What is -113.8 rounded to the nearest ten? -110 Round -2199000 to the nearest one million. -2000000 What is 105.04 rounded to the nearest 10? 110 Round 183116 to the nearest one hundred. 183100 What is -17636 rounded to the nearest 1000? -18000 What is 0.0001618 rounded to 5 decimal places? 0.00016 What is -0.2943 rounded to zero decimal places? 0 What is -29858 rounded to the nearest one thousand? -30000 Round -2.4596 to 0 dps. -2 Round -0.00077046 to six dps. -0.00077 What is -11071500 rounded to the nearest one million? -11000000 What is -3628.6 rounded to the nearest one hundred? -3600 What is -0.0000014449 rounded to 7 decimal places? -0.0000014 What is -331 rounded to the nearest one hundred? -300 Round 29500 to the nearest one thousand. 30000 Round -2446000 to the nearest 100000. -2400000 What is 54806000 rounded to the nearest 1000000? 55000000 Round 0.0000622 to five dps. 0.00006 Round 0.000000174 to seven dps. 0.0000002 What is 4.07529 rounded to 1 dp? 4.1 What is 0.0020598 rounded to 4 decimal places? 0.0021 What is 616 rounded to the nearest ten? 620 Round -0.0007206 to 4 dps. -0.0007 What is -0.000340224 rounded to six dps? -0.00034 Round 1165.4 to the nearest one hundred. 1200 Round 2949500 to the nearest 100000. 2900000 What is 0.0013024 rounded to 5 dps? 0.0013 Round -0.0015283 to five dps. -0.00153 What is -1514.7 rounded to the nearest one hundred? -1500 Round 2.964 to one decimal place. 3 Round 0.3103 to 2 dps. 0.31 Round -0.000001548 to seven dps. -0.0000015 What is 0.0000055493 rounded to seven decimal places? 0.0000055 Round -199.21 to the nearest integer. -199 What is -10516 rounded to the nearest 100? -10500 What is 2310000 rounded to the nearest ten thousand? 2310000 What is 812000 rounded to the nearest ten thousand? 810000 What is 0.0253592 rounded to 2 decimal places? 0.03 Round -0.0000007311 to 7 decimal places. -0.0000007 Round -0.000007349 to six dps. -0.000007 What is 10748 rounded to the nearest 1000? 11000 Round -56585 to the nearest 1000. -57000 What is -218000 rounded to the nearest one hundred thousand? -200000 Round 2.633 to 2 dps. 2.63 What is -0.00000055611 rounded to 7 dps? -0.0000006 Round -15.8065 to 1 decimal place. -15.8 What is 10.283 rounded to the nearest integer? 10 Round 0.00004243 to 5 decimal places. 0.00004 Round -195620 to the nearest one hundred thousand. -200000 What is 0.28499 rounded to two decimal places? 0.28 Round 0.08447 to 3 decimal places. 0.084 What is 100400 rounded to the nearest one thousand? 100000 What is -107.3 rounded to the nearest one hundred? -100 What is 0.0001074 rounded to 5 decimal places? 0.00011 Round -0.14645 to three dps. -0.146 What is 0.31174 rounded to three decimal places? 0.312 Round -34.169 to the nearest ten. -30 What is 0.00133467 rounded to 5 dps? 0.00133 Round -0.005066 to 3 dps. -0.005 Round 0.07208 to 2 decimal places. 0.07 What is -0.23798 rounded to 1 decimal place? -0.2 Round -0.0110453 to four dps. -0.011 What is 0.000029188 rounded to 6 decimal places? 0.000029 What is 0.001198 rounded to four decimal places? 0.0012 What is 0.000007184 rounded to seven dps? 0.0000072 What is 179590000 rounded to the nearest one million? 180000000 What is -0.000737 rounded to four decimal places? -0.0007 What is -0.0008898 rounded to four dps? -0.0009 What is 156000 rounded to the nearest ten thousand? 160000 Round -16207 to the nearest 1000. -16000 What is -141.355 rounded to the nearest 10? -140 Round 1607000 to the nearest 100000. 1600000 Round 9.51 to 1 dp
{ "pile_set_name": "DM Mathematics" }
Divide 43 by -4127. -43/4127 What is 63350 divided by 5? 12670 -225 divided by 5881 -225/5881 Calculate 2316855 divided by 5. 463371 Divide 412 by 4. 103 Calculate 27329 divided by -13. -27329/13 What is 115486 divided by 113? 1022 Divide -234 by 2192. -117/1096 Calculate 1289808 divided by 312. 4134 What is -158 divided by 652? -79/326 What is 1750 divided by 70? 25 2 divided by -4809 -2/4809 -1426116 divided by -6 237686 Divide -28008 by -3. 9336 What is -2034072 divided by -508518? 4 What is 1283865 divided by 256773? 5 What is -156237 divided by 19? -8223 773514 divided by -49 -15786 What is -180 divided by -73? 180/73 Calculate 79469 divided by -1. -79469 What is 23564 divided by -1? -23564 Divide 39 by 14728. 39/14728 57970 divided by -1870 -31 -1437 divided by -44 1437/44 Divide 1314933 by 3. 438311 What is 250146 divided by -13? -19242 What is 597 divided by 129? 199/43 Calculate -6649 divided by -2. 6649/2 Calculate 1083520 divided by -8465. -128 Calculate -89453 divided by -6881. 13 Calculate 2 divided by 162383. 2/162383 Divide 90845 by -5. -18169 What is 7700 divided by 5? 1540 What is 202 divided by 787? 202/787 90816 divided by -1056 -86 Calculate -54936 divided by -2616. 21 Calculate -23254 divided by 5. -23254/5 Divide -1389 by -38. 1389/38 What is -2 divided by 103803? -2/103803 -94560 divided by -20 4728 -24 divided by -3246 4/541 Calculate 709650 divided by 2075. 342 -5 divided by 124347 -5/124347 Divide -95501 by -1. 95501 -9984 divided by -76 2496/19 What is 0 divided by -6497? 0 Calculate 5438 divided by 4. 2719/2 -1433950 divided by 143395 -10 What is -167910 divided by -2? 83955 Calculate 2768551 divided by -3. -2768551/3 Calculate -74904 divided by 24968. -3 What is -1485688 divided by -6? 742844/3 What is -782703 divided by -3? 260901 -1 divided by 104714 -1/104714 92588 divided by 79 1172 174576 divided by -48 -3637 Divide 1006240 by 503120. 2 Divide 518289 by -172763. -3 Calculate -404004 divided by 17. -404004/17 What is -6129675 divided by 5? -1225935 What is -25 divided by 23702? -25/23702 Divide -8409 by 1. -8409 77 divided by 64 77/64 Divide -123205 by 24641. -5 Divide 22855 by 653. 35 Calculate 384128 divided by 4. 96032 Divide -6522 by -3. 2174 0 divided by -3198 0 What is 444777 divided by 111? 4007 -126350 divided by -4 63175/2 Divide -856798 by 6. -428399/3 Calculate 71180 divided by -14236. -5 Divide 108486 by 2. 54243 494111 divided by 10513 47 Calculate -18980 divided by -9490. 2 What is -36320 divided by 4540? -8 -10817 divided by -10 10817/10 Calculate -5 divided by -134754. 5/134754 -44251 divided by -4 44251/4 Divide 315070 by -315070. -1 Divide -382 by 4525. -382/4525 Divide -11760 by 16. -735 Calculate 9202720 divided by 5. 1840544 What is 38875 divided by 38875? 1 Calculate -373416 divided by -24. 15559 Divide -57505 by -53. 1085 -3079220 divided by -53090 58 Calculate 2639 divided by 14. 377/2 What is 28 divided by 6512? 7/1628 Divide 755 by -31. -755/31 Calculate 5110329 divided by -7. -730047 -118308 divided by 59154 -2 -627 divided by -737 57/67 What is 4 divided by -41863? -4/41863 What is -264179 divided by 1? -264179 What is 1580847 divided by 2363? 669 -85936 divided by 131 -656 Divide -168 by -27. 56/9 Divide -26640 by -370. 72 -97 divided by 15 -97/15 Divide 21912 by -4. -5478 Divide -4 by -481363. 4/481363 431 divided by 30 431/30 What is -14 divided by -95332? 7/47666 Calculate 175 divided by -12396. -175/12396 -2 divided by -9471 2/9471 What is 37088 divided by -1? -37088 18798 divided by -6 -3133 Calculate -1411050 divided by 5. -282210 Calculate 10 divided by 2125. 2/425 Calculate -1504 divided by -1. 1504 5177 divided by -353 -5177/353 What is -3 divided by 6681? -1/2227 308658 divided by 3 102886 Divide 4391 by 36. 4391/36 -13 divided by -175453 13/175453 What is -146574 divided by 1? -146574 What is 2 divided by -3205? -2/3205 What is 17 divided by 926? 17/926 What is -149025 divided by 3? -49675 -80004 divided by -26668 3 160513 divided by -160513 -1 What is 0 divided by -58100? 0 2 divided by 3221 2/3221 What is -10935 divided by -27? 405 -12 divided by -2945 12/2945 2 divided by -1862560 -1/931280 Divide 0 by 6316. 0 Divide 367336 by -1. -367336 Calculate -32 divided by 32150. -16/16075 Divide -90 by -124. 45/62 Divide 244 by -340. -61/85 Calculate 67 divided by -467. -67/467 -426090 divided by -3 142030 Divide 2970 by 9. 330 Calculate -147128 divided by -4. 36782 152424 divided by -2 -76212 Divide -2819 by 3. -2819/3 120352 divided by -1 -120352 What is 700022 divided by 6? 350011/3 Divide -735948 by 81772. -9 2540949 divided by 3 846983 What is 1048996 divided by -26? -40346 What is -4 divided by 9482? -2/4741 Calculate -55841 divided by -41. 55841/41 Divide 56775 by 75. 757 Divide 298140 by 6. 49690 What is -20 divided by -22? 10/11 0 divided by 148611 0 Calculate 188346 divided by -3. -62782 -128 divided by -2442 64/1221 What is -35428 divided by 4? -8857 What is -1628672 divided by 12724? -128 What is 4 divided by -243137? -4/243137 -8589 divided by -123 2863/41 What is 114576 divided by -16? -7161 Calculate 7177404 divided by -4. -1794351 What is 6 divided by -53095? -6/53095 What is 2846 divided by 37? 2846/37 Divide 1622 by 400. 811/200 -1297 divided by 187 -1297/187 What is -2673 divided by -597? 891/199 Calculate -2 divided by 35194. -1/17597 1138860 divided by 25308 45 What is 116424 divided by 88? 1323 What is -849612 divided by -3? 283204 What is 413456 divided by -4? -103364 What is -269 divided by -1507? 269/1507 Calculate -324072 divided by -6. 54012 Calculate -8505 divided by -7. 1215 What is -421346 divided by -191? 2206 Divide 465 by 21. 155/7 What is 1229 divided by 1? 1229 Divide -593379 by 6. -197793/2 Divide 5 by -2323. -5/2323 Calculate 1315017 divided by 3231. 407 Calculate -26 divided by 516. -13/258 -313 divided by -31 313/31 Calculate 3449412 divided by -27. -127756 8551 divided by 7 8551/7 -3780240 divided by -1 3780240 Calculate 227463 divided by 227463. 1 63 divided by -41337 -7/4593 What is 20883 divided by 1? 20883 70547 divided by -1501 -47 Calculate 442 divided by -4685. -442/4685 What is -1093108 divided by -4? 273277 Calculate 4458005 divided by 5. 891601 What is -206103 divided by 2001? -103 Divide 40 by -1437. -40/1437 Calculate 1090971 divided by -17317. -63 Divide -180708 by -66. 2738 What is -1284024 divided by 321006? -4 Divide -1512611 by -3. 1512611/3 Divide -6500 by 20. -325 Calculate 1 divided by -2694. -1/2694 Calculate -7314 divided by -23. 318 What is 7500 divided by -12? -625 What is 32300 divided by 1900? 17 Calculate -685 divided by 25. -137/5 Divide -52698 by -6. 8783 -60 divided by 207 -20/69 What is 5 divided by -9804? -5/9804 -702636 divided by 117106 -6 Calculate -388 divided by 134. -194/67 -81584 divided by -20396 4 43850 divided by 5 8770 1778 divided by 24 889/12 What is -752 divided by -11? 752/11 Divide -383 by -279. 383/279 Calculate -42 divided by 17233. -42/17233 What is -15 divided by -3812? 15/3812 Divide 186550 by 37310. 5 What is -4 divided by -927774? 2/463887 Calculate -680225 divided by 175. -3887 Divide -525648 by 5592. -94 What is -4784 divided by 368? -13 Calculate 2 divided by 54505. 2/54505 What is -28217 divided by 28217? -1 What is 222778 divided by -4843? -46 What is 21 divided by 212322? 7/70774 5192 divided by -236 -22 What is 702316 divided by 4? 175579 Divide 4 by 299163. 4/299163 Calculate 63 divided by 350. 9/50 -1316844 divided by -36 36579 Divide -14967 by 4. -14967/4 What is -1256 divided by -2? 628 -460484 divided by 4 -115121 What is 15021 divided by -7? -15021/7 What is -2 divided by -9044? 1/4522 Divide 1014760 by 6. 507380/3 Calculate 1924060 divided by 4. 481015 Calculate 37070 divided by -5. -7414 42694 divided by 19 42694/19 -224 divided by -54 112/27 3 divided by 252090 1/84030 86436 divided by -7 -12348 117912 divided by -5 -117912/5 227500 divided by -364 -625 -11 divided by -403270 11/403270 Divide -29 by -724. 29/724 37288 divided by 9322 4 -73885 divided by -1 73885 18 divided by -1715 -18/1715 What is 1956 divided by 489? 4 Calculate -313918 divided by -209. 1502 Divide 4 by 85636. 1/21409 What is 5214730 divided by 5? 1042946 Calculate 18528 divided by -6. -3088 Wh
{ "pile_set_name": "DM Mathematics" }
2 + 3*v**3 + 2*v**2 - 393*v + 199*v - 5*v**3 to b*v + p*v**4 + t*v**2 + o*v**3 + u and give b. -4 Rearrange 10310*j - 3*j**2 - 5152*j - 5170*j + 7 to q*j + l*j**2 + b and give b. 7 Express 40333*z - 40331*z + 1959*z**2 + 4460*z**2 in the form b + j*z + w*z**2 and give w. 6419 Express 26312*k**3 - 2*k + k - 26537*k**3 in the form y + m*k + o*k**3 + h*k**2 and give m. -1 Rearrange -8*b**2 - 6*b**2 - 4114*b**3 + 6*b**2 + 7*b**2 to o + j*b + y*b**2 + m*b**3 and give j. 0 Rearrange 2*o**3 - 41 + 79 - 10*o**2 + 9 + 24 + 32 to the form m*o**2 + z + i*o**3 + a*o and give i. 2 Rearrange 486*j + 6*j**2 + 17*j**2 - 10*j**2 - 14*j**2 to the form h*j**2 + i + d*j and give h. -1 Rearrange -2 + 266*n**2 - 678*n**2 - 528*n - 306*n**2 + 528*n to r*n**2 + q + g*n and give q. -2 Rearrange -705*s**2 - 2*s**3 + 27830*s - 27816*s + 464*s**2 to t + u*s**2 + n*s + l*s**3 and give l. -2 Rearrange (72*m + 68*m - 151*m)*((-20 + 69 + 20)*(-3*m - 4*m + 5*m) + (m + 0*m - 2*m)*(0 - 1 + 0)) to q*m**2 + v + y*m and give q. 1507 Express 35*l**3 + 6*l**2 + 332*l + 2*l**3 - 330*l as o*l + y + s*l**3 + f*l**2 and give f. 6 Express -4*d**3 + 4*d**3 - 3*d**3 + (0*d**3 - 3*d**3 + d**3)*(5 + 32 + 34) + 49*d - 23*d**3 - 49*d in the form v*d + y + l*d**2 + a*d**3 and give a. -168 Rearrange 1597*w**4 - 2248*w + 4493*w - 2246*w + 1 to the form l*w**2 + i*w**4 + v + n*w**3 + t*w and give v. 1 Rearrange 4 + 3*o + 48487*o**4 - 48486*o**4 + 5*o**3 + 0*o**3 - 4*o**2 to c + z*o**2 + a*o**4 + b*o + q*o**3 and give q. 5 Rearrange (265*a - 152*a + 159*a)*(-5 + 4 + 3)*(-2 + 2 - 2) + (2*a + 0*a - 4*a)*(6 - 4 - 1) + a + 4*a + 2*a to the form x + c*a and give c. -1083 Express (24 + 18 + 9 - 5 + 0 + 4 + (1 + 1 - 1)*(1 - 1 + 1) - 5 + 2 + 2 - 1 + 3 + 0 - 2 + 3 - 3)*(-388*s**2 - 599*s + 599*s) as h*s + r*s**2 + q and give r. -19400 Express (2*l - 4*l + 3*l)*(-3*l + 4*l - 11*l)*(-5*l + l - l + (4 - 4 - 2)*(-l - 2*l + l) - 371 + 371 - 27*l) as g*l**3 + i*l + j + c*l**2 and give g. 280 Rearrange 2197*z + 60*z + 819*z + 551*z - 203*z to q + d*z and give d. 3424 Express -3294*o - 282*o - 4226*o + 828*o in the form m + l*o and give l. -6974 Rearrange -13 - 61*r**3 + 95*r**3 + 2*r**2 - r**2 - r**4 - 32*r**3 + 6*r to the form n + z*r**4 + s*r**2 + q*r + k*r**3 and give s. 1 Express 927 - 5*m**3 - 10*m**3 + 3*m - 8*m - 930 - 3*m**2 in the form a*m**2 + s*m + j*m**3 + o and give j. -15 Rearrange 30*j**3 + 15*j**2 + 32*j**3 + 17*j**2 - 18*j - 64*j**3 + 8*j**2 to k*j + w*j**3 + n + z*j**2 and give k. -18 Express (4*y**2 + 5*y**2 - 6*y**2)*(-4*y + 29 - 29)*(-18 + 36 - 19) in the form b*y**3 + d + z*y**2 + u*y and give b. 12 Express -13*b**3 - 495*b**2 - 49 - 14*b**3 + 496*b**2 + 4*b**3 in the form o*b + j + f*b**3 + h*b**2 and give f. -23 Rearrange (-3*t - 2*t - 2*t)*(-149*t**3 + 7221*t - 7221*t) to q*t**3 + g*t**2 + a*t**4 + i*t + r and give a. 1043 Express (4*k**2 + 3*k**2 - 6*k**2)*(7*k - 3*k - 3*k + (-6 - 44 + 12)*(14 - 14 + 2*k) - 2 + 2 - 2*k) as l*k**2 + d*k + u + n*k**3 and give n. -77 Rearrange -63 + 377 - 252275*s + 252309*s + 55 to r*s + o and give r. 34 Rearrange (-i**2 + i**2 + 2*i**2)*(2 + 2 - 2) + 3*i**2 - i**2 - 3*i**2 + (59*i + 59*i**2 - 30*i - 30*i)*(-3 + 4 - 3) to the form d*i**2 + h*i + s and give h. 2 Rearrange (34*s**3 + 118 - 118)*(1 + 5 + 19)*(58 - 5 - 15) to the form m*s**3 + u*s**2 + n*s + h and give m. 32300 Rearrange -932 + 4639*k + 932 - k**2 + 3163*k - 1 + 1 + 2*k**2 + (2*k**2 - k**2 + k**2)*(3 - 5 + 3) - 2*k**2 + k**2 + 3*k**2 to z*k + w + l*k**2 and give l. 5 Express 26*b**4 - 5*b**3 - 3 - b**3 - 23*b**4 + 195*b**2 + b**3 - 4*b - 192*b**2 as c*b**4 + q + n*b + d*b**2 + s*b**3 and give n. -4 Rearrange -5*z + 60 - 642 + 593 + 831 + 920 to the form x*z + f and give f. 1762 Rearrange 2 - v - 40*v**3 + v - 84*v**4 + 35*v**3 + 117*v**2 - 116*v**2 to the form m*v + r*v**2 + f*v**4 + u*v**3 + q and give r. 1 Express -19 + 38 - 2*h**4 - 6*h**2 + 5*h**2 + 52 + 4 - 2*h**3 + h in the form m*h + w + x*h**2 + y*h**3 + i*h**4 and give m. 1 Express 2003 + 2021 + 13124*l - 4024 + 2060*l as b + d*l and give b. 0 Express (0*j + 3*j - 5*j)*(2 - 2 - 2*j) - 24*j**2 + 0*j + 5*j - 5*j - 4*j**2 + 103*j**2 - 16*j**2 as r*j + z*j**2 + w and give z. 63 Express -99*v - 62 + 100*v - 1167*v**3 + 62 as f*v**3 + u*v + b*v**2 + t and give b. 0 Rearrange -8 - 3*x**2 - 14 + 2*x**3 - 35*x - 13*x + 47*x + x**4 to t + w*x**4 + b*x**2 + h*x**3 + z*x and give z. -1 Rearrange 12*g + 6 + 30 - 34*g - 28*g - 11*g to z*g + u and give z. -61 Rearrange 148*u - 5*u**2 + 143*u - 454*u + 9 - 2*u**2 + 161*u to the form p + t*u**2 + z*u and give p. 9 Rearrange -10*o + 5*o**4 + 1067 - 5*o**4 + o**2 - 531 - 538 + 2*o**4 + 4*o**3 to the form u*o**3 + i*o**4 + y*o + p*o**2 + f and give f. -2 Rearrange -852 - 23 - 535 - 6*o**2 - 184 to m*o + c + s*o**2 and give c. -1594 Express -3*s**2 - 1 + 1 + (-s**2 - s**2 + s**2)*(108 - 979 - 2253) as p + f*s + x*s**2 and give x. 3121 Express (0*m + m + 0*m)*(-747*m**3 + 29278 - 1142*m**3 - 29278) in the form v*m**4 + l*m**3 + i*m + b + t*m**2 and give v. -1889 Express -10 + 10 + 4269*a - 1237*a + 805*a in the form h + t*a and give t. 3837 Express -71 + 1022*f - 19 - 65 - 1014*f - 21 as x + v*f and give x. -176 Rearrange 41*c**2 + c + 367 + 79 - 84*c**2 - 107 + 44*c**2 to the form p*c**2 + h*c + y and give h. 1 Express (2 - 1 + 0)*(0*y**3 - 2*y**3 + 3*y**3) - 2808*y**2 + 2808*y**2 - 264*y**3 as g*y**2 + a + r*y**3 + q*y and give r. -263 Rearrange 847906*c + 2 + 2*c**4 - 1 + 6508*c**3 - 847906*c to the form g*c + i*c**2 + o*c**4 + l*c**3 + s and give o. 2 Rearrange -16*m**3 - 2*m**4 + 103 - 130 + 10*m**3 + 70*m + 4*m**3 to i*m**3 + w + r*m**4 + g*m**2 + d*m and give i. -2 Rearrange l - l + 2*l**3 + (-20*l**3 + 2*l**3 - 137*l**3)*(2 - 3 - 1) + (-4*l + 4*l - l**2)*(9 + 2*l - 9) to o*l**2 + c + w*l + z*l**3 and give z. 310 Rearrange -3 - 4 + 248*k + k**3 + k**4 - 4*k**4 - 489*k + 242*k to the form o + b*k**4 + y*k + l*k**2 + w*k**3 and give o. -7 Rearrange 11*g - 21*g - 3*g**2 + 14 + 9*g - 1 - 7*g - 3*g**3 to the form j*g**2 + o*g + u + n*g**3 and give n. -3 Express (-3*f - 9*f + 5*f)*(-288 + 167 + 436) - f + 4*f - 2*f in the form d*f + g and give d. -2204 Express (c + 0 + 0)*(0 - 4 + 2) - 6*c + 0*c + 1 + c - c + 5*c + c + 6 in the form g*c + x and give g. -2 Express -572767 - 1376*x + 572767 as a + j*x and give j. -1376 Express (-158*z**2 - 38*z**2 + 39*z**2)*(-14*z + 23*z + 18*z)*(0 + 1 + 1) in the form h*z + g + x*z**3 + m*z**2 and give x. -8478 Express k**3 + 18655 - 19467 + 2*k + 0*k**3 in the form p*k + r + h*k**2 + a*k**3 and give a. 1 Express 12*f**3 + 7277 + 2*f**3 - 14546 + 7271 + 128*f as d*f**3 + v + t*f**2 + h*f and give v. 2 Express (d - 5*d + 2*d)*(-8646 - 9301 - 3715 - 8932)*(4*d**3 + 0*d + 0*d) as o*d + i*d**3 + w*d**2 + q + m*d**4 and give m. 244752 Express -794*z**2 - 669*z**2 + 23*z**2 + 143*z**2 - 330*z**2 as h*z + u*z**2 + a and give u. -1627 Rearrange (2*a**2 + 4 - 4)*(4*a**2 + 4*a**2 - 5*a**2) - 1270*a**4 - 238*a**4 - 2725*a**4 - 1101*a**4 to h*a**4 + n + l*a**2 + b*a**3 + c*a and give h. -5328 Express -106*y + 47*y + 64*y - 32 + 2*y**3 - 2*y**2 as l + s*y + i*y**3 + a*y**2 and give l. -32 Express ((-3 + 6 + 0)*(3*f - 5*f + f) + (94 + 32 + 167)*(3*f - f + 0*f))*(2*f**3 - 4*f**3 - 7*f**3) as m*f**3 + i*f**2 + x*f + s*f**4 + o and give s. -5247 Express 331197 - 3*v - 332137 + 4*v as t*v + o and give o. -940 Express -58967*m - 133672*m - 53060*m - 164592*m + 60131*m - 38966*m + (m + 1 - 1)*(-2 + 1 + 3) in the form w + k*m and give k. -389124 Express (3*h - 2*h + 9*h)*(45 - 8 + 102) as k + r*h and give r. 1390 Rearrange u**3 - 2*u + 20404*u**2 + 46 - 20404*u**2 - 16 to s*u**2 + j + k*u**3 + i*u and give i. -2 Express -g**2 - 3*g + 3*g + (9 - 21 - 25 + (-3 + 2 + 3)*(3 + 4 - 6))*(24*g**2 + 5*g**2 + 14*g**2) in the form n + x*g**2 + j*g and give x. -1506 Rearrange ((-3 + 3 + 1)*(-182 + 171 + 139) - 3 - 3 + 7)*(0*m - 11*m + 3*m) to the form y*m + n and give y. -1032 Express (0*t**4 - 2*t**4 + 0*t**4 + (2*t + 0*t - 4*t)*(-t**3 - 3*t**3 + 2*t**3))*(-2389 + 125 - 382) in the form x*t**4 + k + q*t**2 + r*t**3 + b*t and give x. -5292 Express 82*i**2 + i**4 + 65*i**2 + 66*i**2 - 306*i**2 - i**3 + 68*i**2 + 1 + i in the form n*i**3 + u*i + k*i**2 + o + p*i**4 and give k. -25 Express 3 - 660*q -
{ "pile_set_name": "DM Mathematics" }
2988, 6366, 11092, 17166, 24588? 33358 What is next in 48901147, 97802293, 146703439, 195604585, 244505731? 293406877 What is the next term in 9298594, 37194387, 83687376, 148777561? 232464942 What is next in -8578, -6468, -4358, -2248, -138, 1972? 4082 What comes next: 5987745, 5987721, 5987697, 5987673, 5987649, 5987625? 5987601 What comes next: -120805, -241709, -362971, -484771, -607289, -730705? -855199 What is next in 951, 2276, 4503, 7644, 11711, 16716, 22671, 29588? 37479 What comes next: -263219, -263224, -263239, -263270, -263323, -263404? -263519 What is next in 26593, 106323, 239219, 425281, 664509? 956903 What is next in -478428, -956929, -1435430, -1913931, -2392432? -2870933 What is next in -54110, -96269, -138428, -180587, -222746? -264905 What is next in -228738243, -228738244, -228738245, -228738246, -228738247? -228738248 What comes next: 18502119, 37004230, 55506341, 74008452, 92510563, 111012674? 129514785 What is next in -380, -2490, -8166, -19190, -37344, -64410, -102170, -152406? -216900 What is next in 19194, 12651, 1754, -13491, -33078, -57001? -85254 What comes next: -101074, -101156, -101248, -101356, -101486, -101644, -101836, -102068? -102346 What comes next: 49787, 50743, 53341, 58403, 66751? 79207 What is next in 48474, 193909, 436322, 775725, 1212130? 1745549 What is next in 8864299, 8864269, 8864239, 8864209, 8864179? 8864149 What is next in 1383, 2765, 4111, 5403, 6623, 7753? 8775 What comes next: 3054518, 3054521, 3054526, 3054533, 3054542, 3054553? 3054566 What comes next: 55166, 110322, 165468, 220604, 275730? 330846 What is the next term in 8194226, 32776946, 73748146, 131107826? 204855986 What comes next: 14858648, 29717362, 44576062, 59434742, 74293396, 89152018? 104010602 What is the next term in 1104, 1929, 2206, 1659, 12, -3011? -7686 What is the next term in 49967, 99682, 149397, 199112, 248827? 298542 What is the next term in 43836, 43606, 43228, 42702, 42028, 41206? 40236 What comes next: 6657, 8331, 10011, 11697, 13389, 15087, 16791? 18501 What comes next: -8290, -31282, -69596, -123226, -192166, -276410, -375952? -490786 What is next in -530134, -1060270, -1590406, -2120542? -2650678 What comes next: -6636587, -6636586, -6636585, -6636584, -6636583, -6636582? -6636581 What is next in -884295, -1768686, -2653075, -3537462? -4421847 What is next in -10625413, -10625409, -10625403, -10625395, -10625385? -10625373 What is the next term in 111617, 110902, 110189, 109478, 108769, 108062? 107357 What comes next: -849177, -849136, -849085, -849018, -848929, -848812, -848661, -848470? -848233 What is the next term in -615, -4610, -15383, -36294, -70703, -121970, -193455? -288518 What is next in -21613, -21602, -21569, -21502, -21389, -21218, -20977? -20654 What comes next: -4838, -3399, -1960, -521, 918? 2357 What is the next term in -209778, -419549, -629320, -839091, -1048862, -1258633? -1468404 What is next in -130443, -130439, -130441, -130449, -130463, -130483, -130509? -130541 What is next in 27258219, 27258210, 27258187, 27258144, 27258075, 27257974? 27257835 What comes next: 2034191, 2034233, 2034309, 2034425, 2034587, 2034801, 2035073? 2035409 What comes next: -1388007, -2776011, -4164015, -5552019, -6940023, -8328027? -9716031 What is the next term in 619, 493, 441, 493, 679, 1029, 1573, 2341? 3363 What comes next: -2628, -8271, -17662, -30789, -47640? -68203 What comes next: 330606, 332367, 335310, 339441, 344766, 351291, 359022, 367965? 378126 What comes next: -3691, -10213, -21083, -36301? -55867 What comes next: 213311700, 426623403, 639935106, 853246809, 1066558512, 1279870215? 1493181918 What is the next term in 82165, 95035, 116485, 146515, 185125, 232315, 288085? 352435 What is the next term in 567697, 567699, 567701? 567703 What is the next term in 17, 409, 1075, 2033, 3301, 4897, 6839, 9145? 11833 What is next in -10886, -44725, -101154, -180197, -281878, -406221, -553250? -722989 What is the next term in 1786565, 1786522, 1786449, 1786346? 1786213 What comes next: 1370, 2821, 4264, 5693, 7102, 8485, 9836? 11149 What is the next term in -213498, -853987, -1921468, -3415941? -5337406 What is next in 3083, 11355, 25129, 44411, 69207, 99523? 135365 What comes next: 82694257, 165388515, 248082773, 330777031? 413471289 What comes next: 17240067, 17240044, 17240021? 17239998 What is next in -6406, -6491, -6642, -6859, -7142, -7491? -7906 What comes next: -634, -1521, -3524, -7201, -13110? -21809 What is next in 2142083, 4284164, 6426245, 8568326, 10710407? 12852488 What is next in 72474, 579985, 1957514, 4640067, 9062650, 15660269? 24867930 What is next in 441100, 441095, 441078, 441043, 440984? 440895 What comes next: -750016529, -750016542, -750016579, -750016652, -750016773, -750016954, -750017207, -750017544? -750017977 What is the next term in -155343, -313817, -472289, -630759, -789227, -947693? -1106157 What comes next: -11963, -12032, -12151, -12326, -12563, -12868, -13247? -13706 What is next in -15515, -15421, -15233, -14903, -14383, -13625? -12581 What is the next term in -164166, -164336, -164502, -164664, -164822, -164976? -165126 What comes next: -1258485, -2516963, -3775441, -5033919, -6292397? -7550875 What is the next term in 69278, 69130, 68980, 68828, 68674, 68518? 68360 What is the next term in -249, -1040, -2375, -4242, -6629, -9524, -12915? -16790 What is the next term in 54, -30, -248, -612, -1134, -1826, -2700? -3768 What is the next term in 282650, 282754, 282918, 283136, 283402? 283710 What comes next: 1261, 3080, 4899? 6718 What is the next term in -10775, -82255, -276289, -654155, -1277131, -2206495, -3503525? -5229499 What is the next term in -423198, -422757, -422314, -421869, -421422, -420973? -420522 What is next in 725207, 1450309, 2175411, 2900513? 3625615 What is the next term in 201141, 201032, 200925, 200820? 200717 What is next in -638, -2500, -5628, -10040, -15754? -22788 What comes next: -12637, -31254, -62283, -105724, -161577, -229842? -310519 What is next in -4526, -38623, -131182, -311435, -608614, -1051951, -1670678? -2494027 What comes next: 152451, 152419, 152385, 152349, 152311? 152271 What is next in 633161, 633155, 633145, 633131, 633113, 633091? 633065 What comes next: 2378, 6677, 10976, 15275, 19574, 23873? 28172 What is next in -3791278, -7582580, -11373882, -15165184, -18956486, -22747788? 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{ "pile_set_name": "DM Mathematics" }
12 + 6. Determine j, given that -9 - 1/4*j**4 - 37/4*j**2 + s*j + 5/2*j**3 = 0. 2, 3 Let q(m) be the first derivative of m**7/1680 - m**6/80 + 9*m**5/80 - 9*m**4/16 - 2*m**3/3 + m**2/2 - 12. Let f(c) be the third derivative of q(c). Factor f(h). (h - 3)**3/2 Let f be (5 + 22/(-4))*-20. Let c be (2/10)/(f/100). Factor 0*o**4 + 0*o**c - 1/2*o**3 + 0 + 1/4*o**5 + 1/4*o. o*(o - 1)**2*(o + 1)**2/4 Let p(g) = -g**2 + 120. Let w be p(-10). Factor 28 + 19 - 4*q**2 - w + 56*q + 33. -4*(q - 15)*(q + 1) Suppose 21 = 70*q - 63*q. Find l, given that 0*l**2 + 14*l**3 + 3*l**4 - 9*l**4 - 2*l**2 - 8*l**q + 2*l**5 = 0. 0, 1 Let r(x) be the third derivative of x**5/300 + 13*x**4/20 + 68*x**3/3 - 13*x**2 + 194. Find j such that r(j) = 0. -68, -10 Let j = 30029 - 89288/3. Let h = j - 197. Solve 308/3*p**4 - 88*p**3 - 32/3*p - h*p**2 + 196/3*p**5 + 0 = 0. -2, -2/7, 0, 1 Let j(a) = -a**2 - 43*a - 435. Let p be j(-26). Let f(t) = -15*t + 105. Let h be f(p). Factor h - 12/11*s - 38/11*s**2 + 14/11*s**3. 2*s*(s - 3)*(7*s + 2)/11 Let m(a) be the first derivative of 4*a**3/21 - 106*a**2/7 + 960*a/7 - 2201. Factor m(o). 4*(o - 48)*(o - 5)/7 Let h be 245/21 - (597/27 - 22)/(1/(-6)). Solve 7/3*b**3 - h*b + 14/3 - 44/3*b**2 = 0 for b. -1, 2/7, 7 Let k(b) be the second derivative of b**7/15120 - b**6/540 + b**5/48 - 95*b**4/6 + 2*b - 22. Let h(f) be the third derivative of k(f). Factor h(z). (z - 5)*(z - 3)/6 Let t = 221/43830 - -1/1948. Let a(g) be the second derivative of 1/120*g**5 - 1/252*g**7 + t*g**6 - 19*g + 0*g**2 + 0 - 1/72*g**4 + 0*g**3. Factor a(j). -j**2*(j - 1)**2*(j + 1)/6 Suppose 0 = 83*p + 306*p - 328 - 450. Factor 1/3*v**3 + 0 + 2*v + 7/3*v**p. v*(v + 1)*(v + 6)/3 Let a = -98 + 152. Suppose 0 = 15*t + 32*t - 24*t - 46. Factor 28*q**t + 63*q - 4*q**2 + a + 80*q**3 - 77*q**3. 3*(q + 2)*(q + 3)**2 Let v(z) be the second derivative of 11*z**4/16 + 19*z**3/4 - 45*z**2 + 789*z. Factor v(s). 3*(s - 2)*(11*s + 60)/4 Factor 22 + 78 - 5*t**3 + 4*t**3 - 5*t**3 + 5*t**2 + t**3 + 80*t. -5*(t - 5)*(t + 2)**2 Let o(b) be the second derivative of -b**4/30 - 307*b**3/15 + 308*b**2/5 + 3*b + 30. What is u in o(u) = 0? -308, 1 Let h(u) be the second derivative of -u**5/60 - 5*u**4/3 - 38*u**3/3 + 56*u**2 + 176*u. Let j(t) be the first derivative of h(t). Factor j(o). -(o + 2)*(o + 38) Let x(j) be the second derivative of -55/8*j**4 + 11*j**3 + 39/20*j**5 - 3/20*j**6 - 11 + j - 9*j**2. Determine p, given that x(p) = 0. 2/3, 1, 6 Let v(t) be the first derivative of 0*t - 10*t**3 - 3/4*t**4 + 100 - 75/2*t**2. Factor v(i). -3*i*(i + 5)**2 Let q(v) be the third derivative of v**7/1050 - 13*v**6/600 + 11*v**5/150 - 6845*v**2. Factor q(w). w**2*(w - 11)*(w - 2)/5 Let g(c) be the first derivative of c**4/12 + 13*c**3/9 - 20*c**2/3 - 700*c/3 - 3398. Solve g(m) = 0 for m. -10, 7 Let f(s) be the third derivative of s**5/120 + 17*s**4/24 - 65*s**3/4 - 2*s**2 - 527*s. Let f(o) = 0. Calculate o. -39, 5 Let v(i) be the third derivative of i**8/672 + 9*i**7/20 + 3697*i**6/80 + 29279*i**5/24 - 130181*i**4/2 + 902289*i**3 + 38*i**2 - 8*i + 4. Factor v(z). (z - 6)**2*(z + 67)**3/2 Let l(w) be the first derivative of -w**6/42 - 11*w**5/7 - 27*w**4/14 + 5309. Factor l(i). -i**3*(i + 1)*(i + 54)/7 Let d be (-3)/((-3)/1) - (7 + -4). Let p be (-6)/18*2*15/d. Determine w, given that 3*w**4 + 3*w**p + 10*w**2 - 34*w**2 - w**4 - 20*w**4 + 36*w**3 = 0. 0, 2 Let m(q) be the first derivative of -85*q**4/4 - 110*q**3 - 215*q**2/2 + 30*q + 3867. Factor m(t). -5*(t + 1)*(t + 3)*(17*t - 2) Let o(f) be the second derivative of -13*f**2 + 7*f - 7 - 1/6*f**4 - 14/3*f**3. Factor o(a). -2*(a + 1)*(a + 13) Factor -5*u**2 + 0*u**2 + 106178 - 103873 - 906*u - 1394*u. -5*(u - 1)*(u + 461) Let j(z) be the second derivative of z + 0*z**2 + 50*z**3 + 0 + 3/20*z**5 - 5*z**4. Factor j(p). 3*p*(p - 10)**2 Let n(y) = 4*y**3 - 480*y**2 - 10*y + 498. Let d(q) = q**3 + 2*q**2 - 2*q + 1. Let i(g) = -6*d(g) + n(g). Determine x so that i(x) = 0. -246, -1, 1 Let j be (594/(-21))/(1 + (-54)/63). Let k be j/(-10) + -7 - 8. Factor k - 18/5*w + 3/5*w**2. 3*(w - 4)*(w - 2)/5 Let u(k) be the second derivative of 5*k**4/12 + 340*k**3/3 + 11560*k**2 + 2*k + 7. Factor u(q). 5*(q + 68)**2 Let g = 20 + -12. Suppose g*q + 11 = 27. Factor -13*z**3 + 0*z**4 + 7*z**3 - 2*z**4 + z + 5*z + 4 - 2*z**q. -2*(z - 1)*(z + 1)**2*(z + 2) Suppose 0 = 5*b - 3*z - 29 + 1, 4*z = 2*b. Let v(u) be the first derivative of -b*u - 7 - 4/3*u**3 - 6*u**2. Find s such that v(s) = 0. -2, -1 Find d such that -1125*d**3 + 420 + 6485*d**2 + 696*d + 17440*d**2 - 4614*d - 2402*d = 0. 2/15, 21 Let c(l) = l**2 + 2*l - 16. Let y be c(4). Suppose 0 = -2*o - y + 16. Factor -3*x - 12*x**2 + o*x**4 + 6*x + 8*x**2 - 4*x + x**3. x*(x - 1)*(x + 1)*(4*x + 1) Let b(v) = 533*v - 5. Let h be b(5). Find w, given that -2*w + 56*w**3 + 24*w**2 + 2658 - h + 0*w + 32*w**4 = 0. -1, -1/2, 1/4 Let o(j) = j + 24. Let b be o(-32). Let w be 96/340 - b/68. Factor 1/5 - w*p + 1/5*p**2. (p - 1)**2/5 Determine a, given that 1/4*a - 85/4 + 85/4*a**2 - 1/4*a**3 = 0. -1, 1, 85 Let j = -62894/5 + 12580. Let t**2 + 13/5*t - j = 0. Calculate t. -3, 2/5 Let r(x) = 5*x**3 + 225*x**2 - 230*x + 20. Let u(g) = 59*g**2 - 22*g - 27*g**2 - 11*g + g**3 + 3. Let b(p) = 3*r(p) - 20*u(p). Suppose b(f) = 0. Calculate f. 0, 1, 6 Find r, given that 66 + 819/5*r + 153/5*r**3 - 3/5*r**4 + 129*r**2 = 0. -2, -1, 55 Suppose w = 5*b - 221, 168 = 4*b - 4*w + w. Let o = b + -40. Suppose 5 + c**3 - 2*c + 9*c**3 - 9*c + c - o*c**4 = 0. Calculate c. -1, 1 Suppose -1709*s + 295 + 1249 = -1874. Factor 2*m + 0 - 1/3*m**s. -m*(m - 6)/3 Let 20 + 395/3*d**2 + 400/3*d + 55/3*d**3 = 0. What is d? -6, -1, -2/11 Let h(s) = s**3 - s**2 - 3*s. Let r(d) = -10*d**3 - 554*d**2 + 755*d - 252. Let k(t) = -3*h(t) - 3*r(t). Solve k(y) = 0. -63, 2/3 Let p(h) be the first derivative of -2*h**4/3 - 28*h**3/9 + 56*h**2/3 - 16*h - 1734. Factor p(s). -4*(s - 2)*(s + 6)*(2*s - 1)/3 Solve 16*h**5 + 24*h**4 + 2510*h - 2510*h - 18*h**5 - 22*h**3 = 0 for h. 0, 1, 11 Factor 39*d**2 - 12*d**3 + 42*d**2 + d**4 - d**4 - 3*d**4 - 66*d**2. -3*d**2*(d - 1)*(d + 5) Let v be (8 - -17) + 5/(3 + -4). Let d be 35/14*v/25. Factor 5/3*p**d + 11/3*p + 2/3. (p + 2)*(5*p + 1)/3 Let h be (-759)/161 + (-24 - -18 - -15). Solve 0*p + 9/7*p**3 + 0 - h*p**2 + 3/7*p**4 = 0 for p. -5, 0, 2 Suppose 18*w = -36879 + 2949. Let r be w/(-39) + (-2)/6. Suppose 8/3*d**3 + 22*d**2 + 32/3 + r*d = 0. Calculate d. -4, -1/4 Let r = -6546 + 6546. Let w(j) be the third derivative of 0*j**3 + 0*j + 1/48*j**6 + 0 - 1/48*j**5 - 4*j**2 - 1/168*j**7 + r*j**4. Factor w(n). -5*n**2*(n - 1)**2/4 Solve 14704*c + 172*c**5 - 29407*c + 4*c**4 + 14703*c = 0. -1/43, 0 Suppose 44*n = 35*n + 72. Solve 11*s + 19*s + 19*s + 44*s**2 - 4*s**3 - n*s + 7*s = 0. -1, 0, 12 Let k(d) = -4*d - 6. Let g be k(-6). Suppose 0*t + t - 4*h - g = 0, -10 = -t + 2*h. Factor 20*r**t - 46*r**3 - 28*r + 24*r**3 + 38*r**3 - 8. 4*(r - 1)*(r + 2)*(4*r + 1) Let o(x) = 145*x**2 - 2485*x + 10275. Let d(p) = -13*p**2 + 225*p - 934. Let t(n) = -45*d(n) - 4*o(n). Factor t(i). 5*(i - 31)*(i - 6) Let w(u) be the third derivative of 1/30*u**4 - 1/5*u**3 + 308*u**2 + 0*u + 0 - 13/525*u**7 + 8/75*u**5 - 1/105*u**8 + 1/50*u**6. Find s such that w(s) = 0. -1, 3/8, 1 Let f(j) be the first derivative of 0*j - 2*j**2 + 0*j**3 + 0*j**4 - 1/240*j**5 - 5. Let l(q) be the second derivative of f(q). Factor l(m). -m**2/4 Let r(c) be the third derivative of -c**7/945 - c**6/12 - 22*c**5/135 + 4*c**2 - 25*c. Factor r(g). -2*g**2*(g + 1)*(g + 44)/9 Let w be 6921/(-105) + -5 - 3. Let q = w + 376/5. Factor 2/7 + q*j**4 + 1/7*j**2 - 9/7*j + 3*j**3. (j + 1)*(j + 2)*(3*j - 1)**2/7 Let p(g) = -g - 2*g + 3*g**2 + 7*g. Let s(z) = -3*z**2 - 5*z. Let f be (85/(-119))/(3/21). Let i(v) = f*p(v) - 4*s(v). Factor i(h). -3*h**2 Let y be (98/6)/(2 - (-30)/(-18)). Determine m, given that 10*m + 26 - y*m + 6*m**2 + 4 + 3*m**3 = 0. -5, 1, 2 Let f(l) be the first derivative of l**8/4480 - l**7/280 - l**6/96 + l**5/40 + 9*l**4/64 + 66*l**3 - 105. Let g(s) be the third derivative of f(s). Factor g(i). 3*(i - 9)*(i - 1)*(i + 1)**2/8 Let q be (-3)/7 + 8502/4578. Let -q*c - 2/7*c**2 + 0 = 0. What is c? -5, 0 Let n be 434/28 - 3/(-6). Determine m so that -n*m**2 + 214*m**3 + 48*m + 4*m**
{ "pile_set_name": "DM Mathematics" }
. Does 16 divide q? False Let z(k) = 3*k**2 + 3*k. Let b be z(-1). Suppose b = 5*x - 11*x - 30. Is 18 a factor of 2 - 16/10 - 268/x? True Suppose -2*u + 24 = 6*u. Suppose -5*o = 15, 6*k - u*k = o + 219. Let q = 22 + k. Is 10 a factor of q? False Suppose k = -3*v - 48, -4*v = 5*k + 81 - 28. Let u be (24 + 3)*v/(-3). Suppose 2*p + u = 4*b + p, 4*b = 5*p + 141. Does 7 divide b? False Let w = 183 + -168. Suppose w*o - 4078 - 2522 = 0. Is o a multiple of 8? True Let m(p) = 14*p - 2 - 12*p - 4*p. Let b be m(-1). Suppose b*j + 5*j - 335 = 0. Is j a multiple of 11? False Let y = -3123 + 4908. Is 82 a factor of y? False Let f(u) be the third derivative of u**5/10 - 25*u**4/24 - 10*u**3/3 - 201*u**2. Does 41 divide f(8)? True Let c = -7575 + 14791. Is 41 a factor of c? True Let t = 571 + -1565. Let d = -373 - t. Is 32 a factor of d? False Suppose 4*l + 0*l = 3*m - 174, 4*m + 5*l - 201 = 0. Let k = m + -55. Is 17 a factor of ((-4)/((-16)/71))/(k/(-4))? False Let q(i) = -5*i**3 + 3*i + 5. Let h be q(-3). Suppose h = 4*s + 5*y, y - 3*y = -3*s + 127. Suppose -2*c = 5 - s. Is 3 a factor of c? False Let a(o) = -3*o + 4*o + 3 + 0*o**3 + o**3 - o**2 - 4*o. Let s be a(0). Suppose -l - f + 106 = 0, 2*l + 3*l + s*f - 534 = 0. Is 12 a factor of l? True Does 5 divide 0 + 707 + (-3)/7 + 2070/(-315)? True Let n(u) = u**3 + 40*u**2 + 11*u - 158. Is n(-36) a multiple of 5? True Let h(r) = -r**2 + 3*r + 433. Let y = 240 + -240. Does 47 divide h(y)? False Let q(j) = 6*j + 14. Let n be q(7). Let b = n - 40. Let f = b - -5. Does 3 divide f? True Let g(u) = 15*u**2 + 45*u - u**3 - 1 + 2 + 52*u - 122*u. Is g(11) a multiple of 14? True Suppose -38941 = 18*k - 304333. Does 76 divide k? True Let x = 12979 - 6715. Is 27 a factor of x? True Does 85 divide (-51373)/(-5) + 11 - (-1)/((-5)/3)? True Does 3 divide ((-12)/(-48))/1 - (-41865)/12? True Let j(s) = 161*s**2 + 32*s - 75. Is j(3) a multiple of 30? True Let s(z) = -2*z**2 - 1. Let k(y) = 3*y**2 - 3*y - 87. Let l(p) = -k(p) - 2*s(p). Is 21 a factor of l(-12)? False Does 12 divide (-108)/(-2)*(7032/15)/((-54)/(-45))? True Suppose -128*j - q = -124*j - 40030, -j = 5*q - 10017. Does 19 divide j? False Let x = -781 + 4801. Suppose 0 = 3*h - 3*y - x, -5*h + 2668 = -3*h - 5*y. Suppose -3*g = -4*c + 2*g + h, -3*c + 5*g = -1008. Is c a multiple of 21? True Does 14 divide 32/(-6)*(9 + 218820/(-112))? False Let z be (-6)/2*((-9)/(-27) + -8). Suppose z*r - 672 + 143 = 0. Is r a multiple of 2? False Suppose 5*j + 6*s - 160357 = 0, 0 = 4*j + 3*s - 84360 - 43922. Is 20 a factor of j? False Suppose -4*l + 4740 = 3*u, 2*l + 4*u = 7*l - 5956. Suppose -l = -269*m + 263*m. Does 8 divide m? False Suppose 0 = -4*n + 47 + 17. Let f be n/5 + 3/(-15). Is 11 a factor of 65/f - (-2)/6? True Let c be 0 - -2 - 2/(-2). Let l(d) be the second derivative of 7*d**3/6 + d**2/2 - 3*d - 287. Is 6 a factor of l(c)? False Let i be ((-8)/5)/(3/45). Let p be 53/(-2)*(22 + i). Let x = p + -39. Does 14 divide x? True Let z = 385 - 331. Does 16 divide (701/4)/1 - z/(-72)? True Let l(g) = 158*g**2 + 31*g - 177. Is l(4) a multiple of 55? True Suppose 2*s = 6, -f + 0*f + 2629 = 3*s. Let z = -1841 + f. Is 22 a factor of z? False Suppose -77 - 71 = -4*q + 5*n, -4*q = 4*n - 112. Suppose -q*f = -29*f + 156. Let j = f - -116. Is j a multiple of 17? False Let p(l) be the first derivative of -59*l**2/2 - 78*l - 97. Is p(-8) a multiple of 29? False Suppose 4*z - 4*w - 3429 = 28819, 0 = -3*z + w + 24204. Does 24 divide z? False Let n be 5977/7 - 53/(-371). Suppose -n*g + 1071 = -851*g. Is g a multiple of 22? False Suppose 91378 = -64158*m + 64172*m. Is 4 a factor of m? False Suppose 446*n - 395*n - 503217 = 0. Is 143 a factor of n? True Let x(r) = 34*r - 56. Let h be x(5). Let w(o) = 6*o. Let i be w(7). Suppose -h = -4*y - i. Does 5 divide y? False Let t(s) = -920*s - 400. Is 60 a factor of t(-8)? True Let i be 2*9/(-12)*-116. Suppose 138 = z - 106. Let w = z - i. Is 11 a factor of w? False Suppose -37*b + 72 + 150 = 0. Is 632/16 - (b/(-2))/6 a multiple of 40? True Let m be (7950/(-4))/5*108/(-30). Suppose 4*b - 7*b + m = 4*s, 2*s - 4*b = 732. Does 10 divide s? True Let v = 121443 - 44301. Does 11 divide v? False Let o = 3 + 4. Let s be (-1)/(-5 + -3 + 5)*225. Suppose -o*a + 2*a = -s. Is 5 a factor of a? True Let g be ((-25)/75)/(2/(-42)). Suppose -g*z + 211 = -503. Is 17 a factor of z? True Does 56 divide (-30)/(-15)*(-13862)/(-4)? False Let s = -169 - -261. Let g = s - 57. Is 11 a factor of g? False Suppose -2*b = -6*b - 1244. Let i = -57 - b. Is i a multiple of 22? False Suppose 72*b - 705512 = 292408. Is 21 a factor of b? True Let i(a) = 153*a + 9. Let t be i(23). Suppose -3*z + t = 11*z. Does 12 divide z? True Let b(d) = -9*d**3 - 6*d**2 + 2*d + 17. Let t(j) = -11*j**3 - 7*j**2 + 3*j + 17. Let z(m) = 5*b(m) - 4*t(m). Does 7 divide z(0)? False Let g be 22/(-165) + (-1)/((-15)/(-32398)). Is (-1)/((-2)/(-2)*5/g) a multiple of 12? True Let b = 20 + -8. Let p(l) = 26*l - 57. Is 15 a factor of p(b)? True Suppose 18*g + 3*p = 17*g + 4429, 4*g = -3*p + 17698. Does 16 divide g? False Let y(r) = 4*r - 24. Let s be y(-15). Is (-90)/(-10) + -12 - s/2 a multiple of 13? True Let s(a) = -5*a**3 + 2*a**2 - 24*a - 81. Is 31 a factor of s(-9)? False Is 16 a factor of (252/(-14) - 145)*(-33 + (-3 - -1))? False Let z(b) = -b**2 - 5*b + 38. Let h be z(-9). Suppose -h*s = 4*f - 592 - 194, f = -1. Is 25 a factor of s? False Suppose 0 = -6*l + 41 - 35. Suppose -2*d - 4*b + 27 = -697, -b = -l. Suppose -61*t = -57*t - d. Is 18 a factor of t? True Let a = 594 - 419. Suppose z - 2*j + 30 = 2*z, -4*z + 3*j = -a. Is 4 a factor of z? True Suppose 0 = -2*l - 3*r - 835 + 13060, -5*l = -2*r - 30553. Is 97 a factor of l? True Suppose -28*w + 26*w - 4705 = -5*a, w = 5. Does 8 divide a? False Let v = 160 - 18. Is 5 a factor of (-3)/(-5)*v + (-8)/40? True Suppose -4*c + 10*c + 120 = 0. Let x be -2 + (-64)/c - (-4)/(-20). Is (x + 2)/((-1)/(-6)) - 3 a multiple of 3? True Let g(o) = 3*o**2 - 11*o - 816 + 341 + 409. Is 38 a factor of g(-17)? True Let c(b) = 5*b - 270. Let z be c(60). Suppose 4*a - 56 - 160 = 0. Let n = z + a. Does 12 divide n? True Is ((-130)/4)/(1/(-114)) a multiple of 15? True Suppose 5*m - 25 = -h + 6*h, -2*m + 4*h = -2. Let l(o) = 3*o**2 - 13*o + 10. Let a be l(m). Suppose 2*b - a - 8 = 0. Is b a multiple of 36? True Let i = -256 + 268. Is 94 a factor of (-3 - (-243)/i)*912/18? False Let d(v) = -286*v + 3558. Does 7 divide d(12)? True Let v(c) = 88*c**2 - 13*c - 427. Does 33 divide v(-16)? False Let n = -2503 + 15292. Is n a multiple of 69? False Let f be 0 - -2 - (-4 + 2). Let r = 735 + -631. Suppose w - r = 3*c - f, w - 5*c - 92 = 0. Is w a multiple of 14? True Suppose 0 = 3*o - 5*h - 1707, 0 = -2*o - h + 920 + 205. Suppose 3*b - o = -r + 3*r, -5*r = 15. Is b a multiple of 19? False Let g be 4*37*(-5)/((-60)/6). Let h = 87 - g. Does 2 divide h? False Let k(u) = -u**3 - 2*u**2 + 36*u. Is 63 a factor of k(-21)? True Suppose 129*l = 18*l - 667006 + 2287606. Is l a multiple of 25? True Suppose -1150*g + 1151*g - 3*t = 3379, g - t - 3375 = 0. Is g a multiple of 115? False Suppose 18*b + 15*b = 26*b + 66906. Is b a multiple of 81? True Let v(t) = -2*t**2 - 225*t + 370. Is v(-110) a multiple of 92? True Let p(h) = -h. Let c be p(0). Let n = 187 - 100. Suppose v = -4*m + 44, n = 3*v - c*v + 3*m. Does 4 divide v? True Let k(s) be the third derivative of -s**6/120 + s**5/10 + s**4/8 - 5*s**3/3 + 42*s**2. Let g be k(6). Is (1/(-1))/(g/(-920)) a multiple of 18? False Suppose g + 6*g - 5544 = 0. Suppose -9*k + g = -k. Suppose 105 = 12*c - k. Is 13 a factor of c? False Let k(i) = 2*i**2 + 11*i + 35. Let w(d) = -d**2 - 1. Let m(v) = k(v) + 3*w(v). Let q be m(13). Suppose 12*f = q*f + 174. Is f even? False Suppose 0 = 3*x + q - 587, 3*q = x + 5*q - 189. Suppose 4*l = b - 818 + x, 2*l = 4*b - 2554. Is 21 a factor of b? False Let k = 50 + -29. Suppose -13*y + 14*y = -k. Let g = 87 - y. Does 9 divide g? True Let f(t) = -t**3 + t**2 - 6*t**2 + 18*t - 16 - 4*t**2 - t**2 - 4*t**2. Does 2 divide f(-16)? True Suppose 248*m - 2899 = 235*m. Is 6 a factor of m? False Let m(p) = p**2 - 3*p - 16. Let v be m(6). Let u be (v/(-4))/(6/(-24)). Suppose -2*y = -5*s - 33, u*y - y = -s + 13. Is 2 a factor of y? True Let y be
{ "pile_set_name": "DM Mathematics" }
b**2 + m*b and give m. -4695 Express (-3*p - 3*p + 3*p)*(-86*p + 8*p**2 + 86*p) + (3*p**3 - 4*p**3 + 5*p**3)*(8 - 2 - 2) in the form k*p + z*p**3 + i + n*p**2 and give z. -8 Rearrange 16 + 12*m**2 + 136194*m**4 + 136169*m**4 - m - 272394*m**4 to the form h*m**2 + i + t*m + y*m**4 + j*m**3 and give t. -1 Express -55612650 + 55612650 + 315*r as b + s*r and give s. 315 Rearrange (14*p + 13*p - 3*p)*(78 + 75 - 152 - 130*p) to the form q*p + c*p**2 + u and give c. -3120 Rearrange (2*v - 58*v + 21*v)*(-v + 2*v - 4*v) - 226*v + 226*v - v**2 to h*v + l + s*v**2 and give s. 104 Rearrange 921*t - t**3 + 83*t**4 + 2*t**2 - 20 - 89*t**4 - 923*t to the form k*t + p*t**2 + o*t**4 + x + q*t**3 and give q. -1 Rearrange -26 - 4*m**4 + 15 + 6*m**4 + 10 - 66*m**3 - 5*m to the form c*m**2 + w*m + o*m**4 + q*m**3 + k and give q. -66 Rearrange 2070*l + 2603*l + 6*l**2 - 7*l**2 - 1041*l + 1096*l to the form u + y*l + i*l**2 and give y. 4728 Express -c**2 + 2*c**2 + 2*c - 3*c**2 - 2*c**4 - 8*c**3 + 3 - 2*c**3 + 44*c**3 in the form x*c**2 + g + b*c + s*c**3 + y*c**4 and give x. -2 Rearrange -344*t**2 - t + 2*t - 2*t + 944*t**2 to the form q + z*t**2 + i*t and give i. -1 Rearrange (-1 - 3 + 2)*(4*r + r**3 - 4*r) + (-3 + 3 - r)*(-24350*r + 24350*r + 2268*r**2) to o*r + s*r**2 + z*r**3 + g and give z. -2270 Express (-2*q - 3 + 3)*(-6515 + 46511 + 46889 - 3291 - 7684 + 61645) as b + k*q and give k. -275110 Express (b + 1 - 1)*(0 + 0 + 2) + (-39*b + b + 4*b)*(-1 - 2 + 1)*(33 + 19 + 55) in the form x*b + j and give x. 7278 Rearrange (7*c - 38 - 5*c + 25)*(0 - 3 + 1)*(65*c - 3 + 109*c + 3) to y + s*c + t*c**2 and give t. -696 Rearrange -230*b - 464*b - 465*b to z + m*b and give m. -1159 Express -1760*r**2 - 1713*r**2 + 5898*r**2 + 6832*r**2 in the form w*r + a*r**2 + p and give a. 9257 Rearrange (8*m**2 + 40 - 40)*(11*m**2 + 12 - 12) + 2*m**4 - 6*m**4 + 5*m**4 to a*m**4 + c*m + b*m**3 + j + h*m**2 and give a. 89 Express (-118*c + 572 - 572)*(0 + 2 - 4 + (-6 + 2 + 6)*(0 - 3 + 2)) in the form j*c + r and give j. 472 Rearrange 677 - 2205*b**2 + 287*b**2 - 676 to the form p + g*b + l*b**2 and give p. 1 Express (-64 - 29 + 7)*(-10*u + 11*u - 6*u)*(3 + 0 - 4)*(-3 - 1 + 6)*(2 - 3 + 3) as k + w*u and give w. -1720 Rearrange -72*h**2 - 73*h**2 - h**4 + 3*h + 95*h**2 + 2 to i*h**4 + v*h**3 + x*h**2 + w*h + r and give r. 2 Rearrange 8119*v**3 - 8127*v**3 + 43*v**2 + 0 + 2*v**4 - 2*v + 1 to k*v + o*v**4 + z*v**2 + f + a*v**3 and give z. 43 Rearrange 765*p**3 - 6818*p - 1534*p**3 + 2154*p + 767*p**3 to b + w*p + d*p**2 + a*p**3 and give a. -2 Rearrange 4884*v**3 + 4882*v**3 + 2 - 138*v**4 + 4887*v**3 + 0 + 2*v - 14650*v**3 to f*v**4 + b + t*v + y*v**3 + m*v**2 and give b. 2 Express -j + j - j - 4*j + 2*j - j + (2 + 0 - 1)*(-159*j - 249*j - 454*j) as v + s*j and give s. -866 Rearrange (3*l**2 - 3 + 3)*(1 + 7 + 20806913*l**2 - 20806898*l**2) - 3*l**4 + 5*l**4 - l**4 to the form x*l**3 + i*l**2 + b + k*l + c*l**4 and give c. 46 Express (-3285 + 8877 + 1198)*(-2*k**4 - k**4 + k**4) as m*k**3 + l*k**4 + i*k + x + o*k**2 and give l. -13580 Rearrange -23*c + 39 - 14*c - 4*c**2 - 9*c + 46*c to the form y*c**2 + u + h*c and give y. -4 Express (8*s + 6*s + 5*s)*(-88508 + 946*s**3 + 88508) in the form c*s**2 + l*s**4 + p + j*s + y*s**3 and give l. 17974 Rearrange 783*g + 490*g - 2*g**2 + 558*g - 110*g - 215*g to the form x*g**2 + d*g + h and give x. -2 Rearrange 2*n**3 - 783*n + 783*n - n**4 - n**2 + 21 + (0*n - 106*n - 21*n)*(3*n**3 - 5*n**3 + 0*n**3) to the form h*n**4 + b*n**3 + o*n + z + c*n**2 and give c. -1 Rearrange -985*o - 1834*o + 189*o - 245*o - 791*o to y + t*o and give t. -3666 Rearrange 1 + 590*u - 89*u**3 + 4 + 587*u - 1177*u + u**2 to l*u**3 + q*u + v*u**2 + d and give v. 1 Express -14639*n - 517 - 522 - 524 + 1563 as b + l*n and give l. -14639 Rearrange (-21*o + 137 - 137)*(6 - 4 + 0)*(246*o - 246*o + 10*o**2) to the form v*o**2 + d + w*o**3 + p*o and give w. -420 Express o - 97118*o**2 + 2*o**3 - 39*o**4 + 48537*o**2 + 48558*o**2 - 2 in the form z + i*o**3 + s*o**2 + t*o + l*o**4 and give l. -39 Rearrange 23 - 5090*t**2 - 51 - 1445*t**2 + 942*t**2 + 27 to k*t**2 + x + c*t and give k. -5593 Rearrange (-4*a + 3*a + 3*a)*(-20034 + 8673 - 10133 - 27432 - 30246 - 18192) to the form h*a + p and give h. -194728 Express (-4*u**2 + 9 - 9)*(20 + 107*u - 20) - 3*u**3 + 3*u**3 + 0*u**3 - 5*u**3 in the form c*u**2 + i*u + z*u**3 + v and give z. -433 Express -395*i + 827*i - 432*i - 10852*i**2 as a*i + u*i**2 + c and give u. -10852 Express (2*d - d**2 - 4*d + 3*d**2)*(6524*d + 1835*d + 2020*d) as o*d + f*d**2 + v + t*d**3 and give t. 20758 Express (2 - 61*s + 1278*s - 177*s)*(5 - 5 + 2*s) as f + t*s + k*s**2 and give t. 4 Express -17*v**2 + 339 - 352 - 40*v**2 - 69*v**2 as f + j*v + p*v**2 and give f. -13 Express -375 + 5*b**2 - 15*b**3 + 37*b**3 + 2*b - 5*b**2 - 5*b**2 - 20*b**3 as s*b + f*b**2 + u + n*b**3 and give s. 2 Rearrange (322*j + 47 - 47)*(2*j**2 + 0*j**2 - 5*j**2) to the form u + z*j + o*j**2 + t*j**3 and give u. 0 Express -62 + 0*h**2 - 13*h**2 + 15*h**2 + (2*h + 2*h - 3*h)*(13 - 9*h - 13)*(-1 - 2 + 2) in the form z*h + n*h**2 + q and give n. 11 Rearrange -602*l - 1469*l + 42*l - 8*l - 207*l to the form c*l + t and give c. -2244 Express ((11 + 16 - 6)*(-2 + 6 + 1) + 4 + 2 - 4)*(7094 - 6898 + 3*w - w) as r + b*w and give b. 214 Express 87 + 113*j**3 - j**3 - 90 + 7*j as i*j**2 + d*j + l*j**3 + z and give d. 7 Rearrange -601*u + 15*u**2 + 1199*u - 24 - 598*u + 40*u**2 to the form r*u**2 + b*u + d and give d. -24 Rearrange 0*m**4 - 11*m**4 + 8*m**4 + (-3 + 0 + 5)*(3*m - 5*m + 6*m)*(-2*m**3 - m**3 + m**3)*(0 + 3 - 1) to y*m**4 + b + d*m + k*m**3 + t*m**2 and give k. 0 Rearrange (2*s + 3 - 3)*(-2*s + 4*s - 5*s) + 194*s**2 - 27910*s + 27910*s - 7 to the form p*s + v + f*s**2 and give v. -7 Rearrange -6*k + 54 - 15*k**2 + 49 + k**4 - 101 to the form t*k + z + y*k**2 + a*k**3 + p*k**4 and give z. 2 Express 58 - 13*o**3 - 9*o**3 + 41*o - 48*o - 63 as w + s*o + k*o**2 + y*o**3 and give y. -22 Rearrange 898*d**2 - 456*d**2 + 2*d - 3 - 444*d**2 + 63*d**3 to s*d + v + r*d**3 + h*d**2 and give r. 63 Express 461169*n**2 - 7*n - 461171*n**2 - 5*n - 172 in the form t*n + w + h*n**2 and give h. -2 Express -16 + 12*r - 7*r - 21 + 3*r - 38 in the form k + b*r and give b. 8 Express -2*a**3 - a - 7343 + 7341 - 11*a**4 + 3*a**3 - 4*a**2 in the form c*a + f + m*a**3 + q*a**4 + z*a**2 and give q. -11 Express (-18478 + 36896 + 6*c - 18473)*(-1 + 1 + 2*c)*(2 - 3*c + 2*c + 3*c) as u*c**2 + q*c + l + s*c**3 and give s. 24 Rearrange 2 - 7 - 3*j**2 + 0 + 2*j**2 + 6*j - 6*j - 492*j**2 + 204*j - 204*j + (0*j + j + j)*(-j + j + j) to l*j + y + g*j**2 and give g. -491 Rearrange -601*y**3 - 2*y + 596*y**3 + 1 + 6*y**4 + y**2 - 2*y**4 to o + n*y**3 + m*y + s*y**4 + c*y**2 and give c. 1 Rearrange (2*p**4 - 2*p**4 - 3*p**4)*(1055 + 745 + 28) to the form g*p**3 + t + r*p + i*p**2 + k*p**4 and give k. -5484 Rearrange -2277*y - 5050*y - 464*y + 390*y to o + r*y and give o. 0 Express -2*t**3 - 11*t - 238*t**2 + 42 - 242*t**2 + 478*t**2 in the form s + p*t + u*t**3 + x*t**2 and give x. -2 Express (-3 + 8 + 0)*(887*i - 430*i + 699*i - 2) in the form b*i + p and give b. 5780 Rearrange -4845*b**2 - 4869*b**2 + 9716*b**2 + 748*b to a*b**2 + w*b + g and give a. 2 Express 13*k**2 - 3 + 4 - 12*k**2 + (-2 + 5*k + 2)*(0 + 0 - 2*k) + 12*k**2 + 12*k**2 + 10*k**2 in the form n + a*k + d*k**2 and give n. 1 Express 11*s - 17 - 30*s + 123 + 7*s + 8*s in the form k*s + u and give k. -4 Rearrange 2531*n + 40*n**2 + 3*n**3 - 1266*n - 1 - 1264*n to u*n + l*n**3 + v*n**2 + b and give v. 40 Rearrange (-2 + 1087*v**2 - 2566*v**2 - 2*v**3 + 425*v**2)*(v + 2*v - v) to the form g*v**3 + s*v**4 + n*v + k + y*v**2 and give g. -2108 Rearrange 80*m**3 + 35*m - 89*m + 110*m to the form r*m**2 + p*m**3 + s + f*m and give r. 0 Rearrange (194*t - 112*t - 75 - 85*t)*(-2 + 2 - 6*t) to d*t**2 + b*t + m and give b. 450 Express 2681*j**2 + 19*j + 0 + 31*j**3 - 1 - 2682*j**2 as a*j**2 + h*j**3 + c*j + q and give a. -1 Express 22*h**3 + 35*h**2 - 92 + 22*h**3 + 34*h**2 - 43*h**3 - 73*h**2 as p*h + k*h**2 + z*h**3 + d and give k. -4 Rearrange -4582*r**2 + 241*r + 4580*r**2 + 150*r + 1 to j*r + b*r**2 + y and give b. -2 Express 1862*w**3 + 129*w**4 - 1862*w**3
{ "pile_set_name": "DM Mathematics" }
(y*y**(-12))))/y*y)/y))/(y/(y/(y**32/y))*y)*y**(-20)/(y**(-2/13)/y) assuming y is positive. y**(-492/13) Simplify (c**(-1))**39/((c**(-6)*c*c)/c)**(1/6) assuming c is positive. c**(-229/6) Simplify ((o/(o*o**(-1)))/(o**(1/4)/o)*o**(-4)*o*o*((o*o**5)/o)/o)**(10/9) assuming o is positive. o**(25/6) Simplify ((q/(q/q**1*q))/q**(10/3)*q/(q*q**6/q)*((q**(-2)*q)/q*q*q)/q)**(-16) assuming q is positive. q**(448/3) Simplify (s**(1/32)*s**(-2/5))/(s**(-2/29)/s**(6/7)) assuming s is positive. s**(18103/32480) Simplify (((i*i**(3/8)/i)/i*i/i**1)/(i**(-2/7)/i)**(1/3))**(-31) assuming i is positive. i**(341/56) Simplify (z**5*z*z)**(1/69)/(z**(-2/13)*z*z**(-1)) assuming z is positive. z**(229/897) Simplify (w*w**(-4)*w)/w**(-2/33)*((w*w**(-2))/w)/w**(-10/9) assuming w is positive. w**(-280/99) Simplify ((l**(3/7)/(l*(l/(l**(3/5)*l))/l))/(l/l**(-5)*l*l*l/l**(-6)*l))**36 assuming l is positive. l**(-18864/35) Simplify u/(u*u/(u**(-6)*u))*u*u*u**(2/21)*u*u*u*u*(u*u/(u*u**20))/u*u*u*u*(u**(-14)/u)/u*u*u assuming u is positive. u**(-649/21) Simplify (y**(-22)*y*y**(-2/87))/(y*y**(-5)*y)**19 assuming y is positive. y**(3130/87) Simplify ((w/w**(1/5))/w)**50*(w**(-4))**20 assuming w is positive. w**(-90) Simplify r**(-1/4)/(r*r**(-9)*r)*r**(-1/2)/((r*(r*(r**(-7)*r)/r)/r*r)/r) assuming r is positive. r**(49/4) Simplify (d**(-4/5)*d*d*(d*d**(2/29))/d*d*d)/(d**(-5)*d)**(-1/9) assuming d is positive. d**(3686/1305) Simplify (z**(-5))**(-5/12)*(z**(1/2)/z)**(-46) assuming z is positive. z**(301/12) Simplify r/(r**(-2/13)*r)*r*r**0*r*(r/r**(5/4))/(((r/(r/(r**20*r)))/r*r)/r) assuming r is positive. r**(-941/52) Simplify (f/(f*f*f**(2/39)*f)*f)**(10/11)*f**(2/47)*f**23 assuming f is positive. f**(445337/20163) Simplify (u/(u*u**15)*u*u**(-14))/(u/(u**(-2/7)/u))**(2/23) assuming u is positive. u**(-4540/161) Simplify p/p**(1/13)*p/(p/(((p*p/(p*p**8))/p)/p))*(p**(-2)*p)/((p**(-1/4)*p)/p) assuming p is positive. p**(-459/52) Simplify (v**(-34)*v**(-20))**(-36) assuming v is positive. v**1944 Simplify ((p**(2/5)*p**2)/(p**(-2))**(-11))**(-34) assuming p is positive. p**(3332/5) Simplify (g*g**(-3/8)*g**(2/9))/(g**(1/24)/g*g**26) assuming g is positive. g**(-871/36) Simplify (i**(-3/11))**40*(i*i*i/(i/((i*i*i**(-9))/i)*i)*i)/(i/i**(-6)) assuming i is positive. i**(-263/11) Simplify ((d**(1/2))**(1/10)/(d**(-1/4)/d*d**(-1)))**(-24/5) assuming d is positive. d**(-276/25) Simplify (u/u**(-2/7))**(18/11)/(((u/u**(-3/2))/u*u)/u)**(-1/13) assuming u is positive. u**(4443/2002) Simplify (d**(-11/3))**23/(d**(-1/2))**50 assuming d is positive. d**(-178/3) Simplify ((r/(r*r**(-12)))**(-1/15))**(2/105) assuming r is positive. r**(-8/525) Simplify ((v**(-7/5)*v)/v*v*v/(v*v/(v/(v/((v/(((v*v**18)/v)/v))/v)*v))))/(((v**(-11)/v)/v)/(v**(-5)/v)) assuming v is positive. v**(-62/5) Simplify k/(k/k**(-7/5)*k)*k**(-3)*k**(-6/7)/k*k**(-7/5) assuming k is positive. k**(-303/35) Simplify w*w**(-2/37)*w/(w*w**(-22)/w)*w*(w/w**(1/7))/(w*w**16) assuming w is positive. w**(2280/259) Simplify (q*q**(-11)*q*q*(q*(q/q**9)/q*q)/q)/(q**(-2))**(-2/23) assuming q is positive. q**(-372/23) Simplify ((p*p**(-7)*p**12)**(3/2))**19 assuming p is positive. p**171 Simplify ((t**(-3)/(t/(t*t**(-6))))/(t*t**(-2)*t**0/t))**(-1/20) assuming t is positive. t**(7/20) Simplify (n**1)**(1/9)*n**(2/31)/(n*n/n**18) assuming n is positive. n**(4513/279) Simplify ((w/(w/w**7)*w*w*w*w**(-3/5))/(w**1)**(-2))**11 assuming w is positive. w**(627/5) Simplify (i/i**(-15)*i**(-2/11))/(i**(1/5))**(1/19) assuming i is positive. i**(16519/1045) Simplify ((j**(-2/5)*j)/(j/(j/(j*j**8)))*j*j**(-2/5)*j**(1/2))**(-39) assuming j is positive. j**(2847/10) Simplify ((a/(a**3*a)*a**(-6))/(a*a**(1/4)*a**(-3/2)))**(-1/33) assuming a is positive. a**(35/132) Simplify (i**3*i)/(i*i*i**(2/29))*(i*i/((i/i**(-20))/i))**(-15/8) assuming i is positive. i**(4139/116) Simplify (((n**(-10)/n)/n*n*n**(1/5))**15)**(-38) assuming n is positive. n**6156 Simplify ((n/(n*n*(n/n**(2/13))/n))/n)**(-1/10)*(n/(n*(n*n*n/n**(1/7)*n)/n*n*n))/(n/(n*n/n**(-5/3))) assuming n is positive. n**(-2738/1365) Simplify p**(-1)/p**13*(p**(-1)/p)**(11/2) assuming p is positive. p**(-25) Simplify (((s*s**0*s)/s*s**2)/(s**6/(((s/s**(-2/3))/s)/s)))**5 assuming s is positive. s**(-50/3) Simplify ((w/w**(-2)*w)**(-2/79)/(w**(4/7)/w**8))**(-25) assuming w is positive. w**(-101300/553) Simplify ((j**(1/6)*j)/j*j*j)**(27/5)/(j**8*j**(-2/3)) assuming j is positive. j**(131/30) Simplify ((a**(-1/2)*a)**(-1/3)*a**(-6)*a*(a**(-2/5)*a)/a)**(-1/47) assuming a is positive. a**(167/1410) Simplify (b*b*b**(6/5)/b*b**(-4/3))/(b*b**2*(b/b**10)/b) assuming b is positive. b**(118/15) Simplify ((c**(2/7)/c)/c)**31*c**11*(c/(c*(c**(-12)/c)/c))/c assuming c is positive. c**(-204/7) Simplify (((s*s/(s*s**(1/3)/s))/s)**16/(s**(-3)*s**(-1)))**(-36) assuming s is positive. s**(-528) Simplify ((g*g/(g/g**(-3/7)))/g)/(g/((g/(g/g**(-19)))/g))*g/(g/g**(-2/65)*g)*g/((g**(19/4)/g)/g*g) assuming g is positive. g**(-45881/1820) Simplify ((((d**2*d)/d)**(-44))**(-21))**13 assuming d is positive. d**24024 Simplify z**(-2/29)/z**(-20)*(z**(-11)*z)/z**18 assuming z is positive. z**(-234/29) Simplify ((y**1/y)/(y**(-2/17)/y))/(y**(-4/11)/(y*y*(((y/(y*y*y*(y/y**(-2/11))/y*y*y*y))/y)/y*y)/y*y*y)) assuming y is positive. y**(-318/187) Simplify ((l**(-2/13)*l**(2/17))/(((l**(3/10)*l*l)/l*l)/l*l/(l*l**(-2/9)/l)))**28 assuming l is positive. l**(-712418/9945) Simplify m**(-12)/(m*m*m*(m**(8/11)/m)/m)*((m*m*m/m**14)/m)/m**9 assuming m is positive. m**(-382/11) Simplify ((p/(p*p*p**(-2/19)))/(p**(-2/7)/p)*(p**(2/7))**(-48))**(-8) assuming p is positive. p**(14176/133) Simplify ((c/(c/(c*c**3*c)))**(1/57))**(1/13) assuming c is positive. c**(5/741) Simplify ((h/h**12*h**(-13))**(-23))**(5/12) assuming h is positive. h**230 Simplify (w**(-3/7)/w**(2/17))/(w/(w*w*((w/(w**(3/2)/w)*w)/w)/w))**(-35) assuming w is positive. w**(-4295/238) Simplify (n**(-3)*(n*n*n*n*(n/n**(-12/7))/n*n*n)/n)/(n**1)**(-16) assuming n is positive. n**(138/7) Simplify ((t/(t*t/(t/(t*t*t**(-2/7)))))/t*t**27)/(t**(2/15)/t**(-8)) assuming t is positive. t**(1696/105) Simplify ((q*q**(-2)/q)/q**(7/3))/(q/q**(-2/29)*q**(-1/22)*q) assuming q is positive. q**(-12167/1914) Simplify ((x*x**1)/(x/(x/(x/x**1*x))))/(x**(2/7)*x**(-8/9)) assuming x is positive. x**(101/63) Simplify ((o/o**(7/4))/o*o*((o*o**8)/o)/o)/((o/o**(-3/4))/(o/o**0)) assuming o is positive. o**(11/2) Simplify (a*a/a**(-1/45))**(13/3)/(a*(((a*a**3*a)/a)/a)/a*a*a)**(-33) assuming a is positive. a**(23458/135) Simplify ((g*g*g*g*g/(g/((g/(g**(-6)*g))/g))*g*g*g*g*g/(g*g**6/g))**9)**(-1/16) assuming g is positive. g**(-9/2) Simplify (i/(i/i**(-7))*i**(-2/7)*i**(-3/10)/i**(-5))**32 assuming i is positive. i**(-2896/35) Simplify (u**38/u**(2/5))/(u**(9/5)*u**(-14)*u) assuming u is positive. u**(244/5) Simplify (g/(g**(-2/29)/g))/g*g**14/g*g**(-1/38)*g**(-3) assuming g is positive. g**(12169/1102) Simplify ((d**(-1)/(d*d/(d/d**5)))**(-43))**(20/3) assuming d is positive. d**(6020/3) Simplify (q**(2/3))**(6/11)/((q*q**(3/16)/q*q)/((q*q**(-8)*q)/q)) assuming q is positive. q**(-1377/176) Simplify j*j**(-4/3)*(j*j**(-7/5)*j)/j*(j/(j/(j/j**1)))**(11/2) assuming j is positive. j**(-11/15) Simplify (a**(6/5)*a**(-2/51))/((a**7/a)/a*a*a**(-2/21)) assuming a is positive. a**(-8468/1785) Simplify (o*o**(-3/5))/o**9*(o**1*o)/o**(1/5) assuming o is positive. o**(-34/5) Simplify ((q**(-4/11)*q**2)**4)**(5/7) assuming q is positive. q**(360/77) Simplify (o**7*o*(o*((o/o**8)/o)/o*o*o)/o)/(o**(-15)*o*o**(-2/17)/o*o) assuming o is positive. o**(257/17) Simplify r**(7/2)/(r*r**(-4))*(r**0)**(2/9) assuming r is positive. r**(13/2) Simplify h/(h/(h*(h*h/(h**(1/13)/h))/h)*h*h)*h**17*h**(2/45)*h/(h*h/(h*h*h/h**(-6))) assuming h is positive. h**(15191/585) Simplify ((j*j/(j/(j/j**(1/10)))*j/(j/(j/(j**(-3/7)/j))))/(j**(-1/5)*j**(-2)))**(7/2) assuming j is positive. j**(457/20) Simplify ((i*(((i*i**(-2/7))/i)/i)/i)**(6/29)*(i**0*i)**47)**(-16) assuming i is positive. i**(-151792/203) Simplify (w/(w*w**19)*w*w*w*w)/w**(-2/19)*w/(w**(-10)*w)*w**(-20)/w assuming w is positive. w**(-492/19) Simplify ((g**(-11)*(g/g**(-4/13))/g)/(((g/(g*g/(g/(g/(g/(g**(1/15)*g)*g*g)))*g*g))/g)/((g**(1/10)*g)/g)))**(-2/23) assuming g is positive.
{ "pile_set_name": "DM Mathematics" }
= 4*f + g*v, -5*f = 4*v - 3053. Is f a prime number? True Let z = 25812 + -14905. Is z composite? True Let o be 3/1 - (14 - 16). Let k be o*7/((-140)/(-12)). Suppose -4*r = -5*x - 1363, -2*x + 1679 = 2*r + k*r. Is r a prime number? True Is ((-51)/(-85))/((-2)/(-29690)) a prime number? False Let i = 12 + -18. Let t = i - -8. Is 3745/(-20)*(-8)/t prime? False Suppose 4*k - 284649 = 2*k - 3*u, 5*k + 5*u = 711620. Is k composite? True Let k = 4722 - 2653. Is k prime? True Let g be (-2)/(-11) - (-35)/(-11). Suppose -l = a + 3 - 1, 0 = -2*a - 10. Is 213 + l/g*2 prime? True Suppose -v - 154 = v. Let n = v + 183. Let p = n + -29. Is p prime? False Suppose -2*b = 5473 - 19021. Suppose -4*h + c + b = -c, 3*c = -3. Is h a prime number? True Is 1*-11579*(3 + (-68)/17) a composite number? False Let i(h) = -44*h**2 - 5*h - 1. Let x(j) = 219*j**2 + 26*j + 6. Let p(d) = -11*i(d) - 2*x(d). Let z be (3/(-2))/((-69)/(-92)). Is p(z) a composite number? True Suppose 3*z - 1652 = 2806. Let w = 2237 - z. Is w a prime number? True Let s(b) = 9*b**2 + 86*b + 33. Let l(q) = -3*q**2 - 29*q - 11. Let m(i) = 11*l(i) + 4*s(i). Is m(-16) composite? False Suppose 0*d - 3*n + 806 = 2*d, -4 = n. Is d a composite number? False Let j = -51 - -53. Suppose -413 = x - j*x. Is x prime? False Suppose 5*w + 2 = 6*w. Suppose -w*v - 4*f - 100 = 4, 2*f = -4*v - 202. Let l = v - -137. Is l composite? True Let w(d) = d**3 - d**2 - d - 2. Let l be w(0). Let g(m) = 16*m - 3*m - 9*m + 41*m**2 + 2. Is g(l) prime? False Let p(a) = 2*a**2 - a**2 - 3*a**3 + 0*a**2 - 3*a**2 + 4*a. Is p(-5) a composite number? True Suppose -4*f = 3*s + 435 - 60, 0 = -s + f - 118. Let l = s - -170. Let r = -2 + l. Is r composite? False Suppose 0 = -5*z - 4*p + 56, 8*p - 44 = -3*z + 3*p. Suppose 5*o - z = 17. Suppose 6*u - o*u - 709 = 0. Is u a composite number? False Suppose -h + 10 = 3. Let i(f) = f - 5. Let r be i(h). Is 2870/(3 + r) + -1 prime? False Let z(u) = 5*u**2 + 65*u + 36. Let l(p) = p**2 - 3*p + 9*p - 5*p + 7 + 12*p. Let i(c) = -11*l(c) + 2*z(c). Is i(-5) a composite number? True Let q = 21397 + -5970. Is q composite? False Let a = -25803 - -41248. Is a composite? True Suppose -4*z + 5*u - 1458 = 0, -2*z + 2*u = 4*u + 738. Let r = z - -630. Is r prime? True Suppose 0 = -f + 9 - 8. Let l = -4 + f. Is ((-158)/(-10))/(l/(-15)) composite? False Suppose -2*i = -5*b - 206, 2*i - 92 = i - 3*b. Suppose 0 = 2*x + 3*p - i, 3*p + 89 = 4*x - 89. Is x prime? False Let b(r) be the first derivative of 311*r**3/3 + r**2/2 + r + 5. Let d be b(-1). Suppose -3*i = -8*i + 4*g + 781, 0 = 2*i - 3*g - d. Is i a composite number? False Let i = 67 - 65. Suppose i*a - 4*q + 3*q = 428, 0 = 5*a + 2*q - 1061. Is a a composite number? True Suppose -c + 105 = -g + 23, 3*c = -2*g + 241. Suppose 0 = 5*d + 4*z - 793, -d + c = z - 78. Is d a prime number? True Let h = -1817 - -2922. Let k be (-2)/4 + (-25)/(-2). Suppose -4*v = -0*v - k, -4*v - h = -y. Is y prime? True Suppose -3*c = -3*j - 6*c + 39, 0 = -3*j - c + 43. Is 13 - j - (0/1 + -615) composite? False Let d = -44 + 44. Suppose 2*x + d*i - 158 = 4*i, 79 = x + 3*i. Is x prime? True Is 2606 + (-6)/(5 + 1) a prime number? False Let v be 2 + -16 - (-3 + 1). Let t(f) = -f**2 - 13*f - 9. Let d be t(v). Suppose -d*w + 154 + 95 = 0. Is w a prime number? True Let n be (12/7)/(6/21). Let p(c) = 11*c**3 - 4*c**2 + 7*c - 10. Let y be p(n). Suppose -3*x - l = -y + 291, 0 = -5*x - 5*l + 3275. Is x composite? False Suppose 0 = x - 4*s - 1065, -2*x - 3*s - 5359 = -7*x. Is x composite? True Let a = 56 - 38. Let h be 45/(-6)*(-12)/a. Suppose 2*s + 102 = h*v - 2207, v + 2*s = 469. Is v a composite number? False Let a(k) = -4*k**3 - 14*k**2 - 32*k + 31. Is a(-12) composite? True Suppose 0 = 5*o - 15, -2*d - d + 15 = 5*o. Suppose s - 12 = -l + 105, 2*l - 8 = d. Suppose -s = -5*j - 4*v, -2*j = -5*j - v + 65. Is j a composite number? True Suppose -578*q + 573*q + 1105 = 0. Let l be (1 - (0 + 0))*412. Let k = l - q. Is k a composite number? False Suppose 0 = -0*x + 23*x - 86963. Is x prime? False Let w = 4669 + 3742. Is w composite? True Let l(f) = -26*f**2 - 6*f + 2. Let o(i) = -9*i**2 - 2*i + 1. Let c(z) = -5*l(z) + 14*o(z). Let v = -437 - -440. Is c(v) prime? False Let l = 12 + -9. Suppose -9 = l*m - 3*q, -7*q + 2*q = -10. Is (-163 + 3 + m)/(-1) prime? False Let t = -727 + 492. Let m be (-18)/(-12) + 3933/(-6). Let z = t - m. Is z a composite number? False Suppose 0 = -3*a + 22 + 14. Suppose -2*m = 2*f, 2*f - 2*m = -0*f + a. Suppose -2*x = -4*x + f*p + 145, 5*x - 394 = -3*p. Is x a composite number? True Is (16 - 14)*((-86367)/(-6) + 0) prime? True Let p(a) = a**3 - 6*a**2 + 5*a - 10. Let c be p(7). Suppose 0 = -2*b - 3*b + 15. Suppose -x - c = -b*x. Is x a prime number? True Is 54992/12 + (-10)/(-30) a prime number? True Let g(c) be the first derivative of -c**4/4 - 5*c**3/3 + c**2/2 - 7*c - 9. Let u be g(-5). Is (-737)/(-6) + (-2)/u composite? True Suppose -1147*v - 382291 = -1154*v. Is v a composite number? True Is -64*-2*372 + (-14)/2 a composite number? False Let q(g) be the first derivative of -5 + g**3 + 21/4*g**4 - g**2 + g. Is q(2) a composite number? True Let u(z) = z**3 + 17*z**2 - 11*z + 20. Let r be u(-15). Suppose -p - r = -6*p. Is p composite? False Let x = 0 - -7. Suppose 2*w = x*w - 15, -5*q = 2*w - 1021. Is q + (1 - 1 - -2) a prime number? False Let b(c) = -c**3 - 3*c**2 - 3. Let j be b(-3). Let q(a) = a + 5. Let k be q(j). Is 89/1*(k + -1) prime? True Let f(j) = 36 - j - 163*j - 37. Is f(-1) a composite number? False Suppose -7*a + 34 = 13. Suppose a*u - 173 = 496. Is u a composite number? False Suppose -12*t + 85892 = -52504. Is t a prime number? False Let o = -16 + 19. Suppose o*p + 2*j - 9 = 0, 0 = -3*p - p - 4*j + 8. Suppose -3*g - 333 = -5*n - g, p*g - 139 = -2*n. Is n a composite number? False Let r(u) = -6*u**2 - 4*u - 7. Let j be r(5). Let s = 366 + j. Suppose 0 = 4*c - 127 - s. Is c a composite number? False Let t(z) be the third derivative of -z**6/120 - z**5/12 - 2*z**4/3 - 19*z**3/6 - 17*z**2. Is t(-13) a prime number? False Let a(g) = 4 - 14 - 5 - 199*g - 31*g. Is a(-10) composite? True Is 29/(-58)*(-6752 - (4 - 2)) a composite number? True Let f = -12 - -16. Let u be (-4)/(-18) + f/(-18). Suppose -y = -u - 21. Is y a composite number? True Let s = 8 + -12. Is (-2)/5*(-5 - -10825)/s composite? True Let v(u) = -u - 8. Let q be v(-12). Suppose -q*j + 5*g + 3121 = -2330, -2*g = -10. Is j a composite number? True Let s(m) = -m + 4. Let t = -24 - -24. Let a be s(t). Suppose -a*p + 385 = -379. Is p a prime number? True Let y be 4/(-3)*(18 + -927). Let l = y - 86. Is l a composite number? True Suppose -k + 5*s + 166 = -0*k, 4*k - 3*s - 630 = 0. Let n = k - -880. Suppose -4*d + 3*a = a - n, 5*a - 494 = -2*d. Is d composite? False Let u(i) = 1665*i + 154. Is u(8) prime? False Let f(a) = 5*a - 32. Let p(x) = 6*x - 32. Let l(o) = 3*f(o) - 4*p(o). Is l(-11) prime? True Suppose -2*f + 10 = 0, -2*a + 5*f + 265 = -104. Suppose -1213 = -6*c + a. Is c a prime number? False Suppose 0 = -331*m + 323*m + 19848. Is m composite? True Let z = -6 - -14. Suppose -z*x - 9 = -11*x. Suppose -3*f - 2*q + 15 + 196 = 0, -3*q = -x*f + 186. Is f composite? False Suppose 3*k + 981 = -354. Let y = 782 + k. Is y composite? False Let b be (5 + -15)*70/(-4). Let j = 366 - b. Is j composite? False Let o(p) = 1166*p**2 - 7*p - 11. Is o(4) composite? False Let i(h) = -2*h - 75. Let r be i(0). Let p be r/15 + 0/(-2). Is (-1 - -4) + p + 145 composite? True Suppose -8*d + 3*d - 30 = 0. Let t = 131 - -260. Let z = t - d. Is z a prime number? True Let s = -2236 + 4389. Is s a composite number? False Let n(b) = 284*b**2 + 3*b. Suppose -w = 13 - 11. Let y be n(w). Let x = y - 711. Is x a prime number? True Suppose 18 + 0 = 9*r. Let u = -224 + 1016. Suppose 0*c - u = -3*x + 3*c, 0 = 2*c - r. Is x prime? False Let x = -1204 - -3725. Is x a composite number? False Let o(x) = -x**3 + x**2 + 3*x - 2. Let d be o(2). Suppose -3*v + 1965 + 2574 = d. Is v prime? False Let d(c) = 5*c + 47. Let l be d(-9). Suppose 6810 = 5*r - t, 0 = -l*r + r - 3*t + 1346. Is r prime? True Suppose 445 = 5*v + 5*u, -5*v = -3*u - 0*u - 469. Suppose -v = -2*a - 2*a. Is 4*2/8*a a composite number? False Is ((-38694)/(-12))/(22/(-4) + 6) prime?
{ "pile_set_name": "DM Mathematics" }
43/4 (c) -1 b Which is the smallest value? (a) -0.5 (b) 33 (c) 5 (d) 0.3 a What is the second biggest value in 2, 2/7, -92? 2/7 Which is the biggest value? (a) 0.02 (b) -2/7 (c) -5 (d) 0 (e) -2/13 a Which is the biggest value? (a) -0.272 (b) -2 (c) -2/11 c Which is the smallest value? (a) 1/2 (b) 1.232 (c) 0.4 c What is the third smallest value in -2, 259, 2, 1/11? 2 Which is the second smallest value? (a) -0.3 (b) 0 (c) 2 (d) -3 (e) 1/39 a Which is the smallest value? (a) 9 (b) -5 (c) -14/13 b Which is the biggest value? (a) -8 (b) -4/5 (c) 1/9 (d) -22 (e) 5 e What is the biggest value in -0.2, 0.5, -0.13? 0.5 Which is the second smallest value? (a) 5/4 (b) -1 (c) 4 (d) -3/4 (e) 0.2 d What is the third biggest value in -13, -0.2, -2, 0, 2? -0.2 What is the second biggest value in -9/4, -2/7, -0.1? -2/7 What is the third biggest value in -7, 0.3, -1, -0.18, 0? -0.18 What is the fourth biggest value in 3/13, 71, 5, 2/9? 2/9 Which is the third biggest value? (a) -2/9 (b) 4/3 (c) -9 (d) -2.1 d Which is the second smallest value? (a) -2681 (b) 1/7 (c) -1 c What is the third smallest value in 5, -26/9, -3, 1/4, -0.1? -0.1 Which is the smallest value? (a) -7 (b) -20 (c) 1/3 b What is the third smallest value in -5, 4, 1215? 1215 Which is the fourth smallest value? (a) -2/29 (b) -0.3 (c) 0.1 (d) -4 c Which is the second smallest value? (a) 2/11 (b) -2/37 (c) 0.2 (d) 0.5 (e) -66 b Which is the third smallest value? (a) -2 (b) -0.4 (c) -24 (d) 1 b Which is the second biggest value? (a) -2 (b) 3/4 (c) -0.1 (d) 0.4 (e) -0.7 d What is the third biggest value in -3/8, -1, 39/10? -1 Which is the fifth smallest value? (a) 25.6 (b) 1 (c) -5 (d) 2/13 (e) 1/5 a What is the second smallest value in 1, -0.01, 3? 1 What is the third biggest value in 1, 4/45, 0.2? 4/45 What is the smallest value in 0.1, 70, 0, 15? 0 Which is the biggest value? (a) -0.1 (b) 4 (c) 0.2 (d) -2/3 b What is the fifth biggest value in 3/2, -0.06, 3, 0.8, -0.4? -0.4 What is the second biggest value in 0, 1/3, -0.09, 1, -2/7? 1/3 What is the third smallest value in 2/9, 29, 1/10, 5? 5 Which is the fourth biggest value? (a) 0.129 (b) 2/33 (c) 0.5 (d) -4 (e) -3 e Which is the smallest value? (a) 0.3 (b) 5 (c) 2/23 (d) 23 (e) 1 c Which is the second biggest value? (a) -4 (b) 2/5 (c) 445 b Which is the third smallest value? (a) 26 (b) 0.3 (c) -34 a Which is the second biggest value? (a) 5 (b) 6 (c) 1.155 a Which is the third biggest value? (a) 58 (b) 0.4 (c) 2/9 (d) -1/3 c What is the second biggest value in 1, 2/5, 2/3? 2/3 Which is the third smallest value? (a) -1/2 (b) -2 (c) 4.4 (d) -4 a What is the second biggest value in 0.5, 1/4, -2/13, 20, -1.3? 0.5 Which is the biggest value? (a) 4 (b) -7/11 (c) -1/3 a What is the smallest value in 2, 0.1, 2/21, -0.2, 81? -0.2 Which is the second biggest value? (a) 75/16 (b) 0.5 (c) 3/7 (d) 0.1 b Which is the second biggest value? (a) -0.3 (b) 197 (c) 41 c What is the biggest value in -1/3, -2/11, -2, -1/7? -1/7 Which is the second smallest value? (a) -6 (b) -26 (c) 10 a What is the fourth smallest value in 9, -8, -2/5, -4? 9 Which is the fourth smallest value? (a) -0.04 (b) -0.2 (c) -0.6 (d) 4 d What is the third smallest value in -20, -4, -1, -3, -87? -4 What is the third biggest value in 2, 0.5, 0.04, 9? 0.5 Which is the second smallest value? (a) -0.3 (b) 2 (c) 4/3 (d) 3/2 c What is the third biggest value in 4, -0.2, -1, 1/5? -0.2 Which is the third biggest value? (a) 0.5 (b) 3 (c) 5 (d) -2/21 (e) 2 e Which is the third smallest value? (a) -20 (b) -1/3 (c) -0.6 (d) 2 b Which is the smallest value? (a) 6 (b) 0 (c) 11 b Which is the biggest value? (a) 100 (b) 1 (c) 3 a Which is the second smallest value? (a) 29 (b) 3 (c) -5 b Which is the biggest value? (a) -9 (b) -2 (c) -0.1 (d) 4 d Which is the fourth smallest value? (a) 66 (b) 8 (c) -2/3 (d) -2 a Which is the smallest value? (a) 3/4 (b) -3/7 (c) 3 (d) 13 b What is the smallest value in 0.056, -4, -4/7? -4 What is the second biggest value in 0.5, 2/9, 2? 0.5 Which is the fifth smallest value? (a) 4/3 (b) 1/4 (c) 1/3 (d) -2 (e) -2/17 a What is the third biggest value in 10.7, 1, -7? -7 Which is the third biggest value? (a) 0.05 (b) -179 (c) -2/11 (d) -0.4 d Which is the fourth smallest value? (a) 13 (b) 0 (c) -0.2 (d) -10 a What is the fourth smallest value in 6/5, 4, 1, 2/5, 5? 4 What is the third biggest value in 3, -0.004, 2/3, -4, 6/11? 6/11 What is the second biggest value in 2.1, -2/5, -3? -2/5 What is the biggest value in -4/7, 5, -50? 5 Which is the biggest value? (a) -125 (b) 2/3 (c) -0.1 b What is the third biggest value in 2/15, -0.5, 6? -0.5 What is the fourth smallest value in -0.2, -4, 0, 0.1? 0.1 Which is the smallest value? (a) 0.3 (b) -2/25 (c) -1 (d) 1/2 c What is the biggest value in -2/255, -1, 5? 5 Which is the smallest value? (a) -2/11 (b) 5/2 (c) 514/3 a What is the biggest value in -0.3, -2, 2/7, 5? 5 What is the third smallest value in -1, 352, 1/7? 352 Which is the smallest value? (a) -0.14 (b) 2 (c) -2/5 (d) -0.5 d What is the fifth biggest value in 68, 4, 0.05, 0.2, -1/5? -1/5 Which is the second biggest value? (a) 0.5 (b) 1455 (c) -1/4 a Which is the biggest value? (a) -4 (b) 35.4 (c) 2/7 b Which is the second biggest value? (a) 143 (b) 0.4 (c) 2/11 b What is the fourth biggest value in 1/6, 811, -4, -1/10? -4 What is the third biggest value in 2/3, 2, 3/5, 0.4? 3/5 Which is the third smallest value? (a) -26 (b) 5 (c) 2/9 b Which is the second biggest value? (a) 5 (b) -0.03 (c) -1/17 (d) 1/10 d Which is the biggest value? (a) -1/46 (b) 2 (c) 2/7 b Which is the second biggest value? (a) 7 (b) -1/6 (c) -0.3 (d) 2/5 (e) -3/5 d Which is the fourth smallest value? (a) -8/5 (b) 1/6 (c) -0.23 (d) 4 d What is the second biggest value in 3.7, -0.5, 8, -1/5, -0.3? 3.7 What is the third biggest value in -0.4, 1, 0.824? -0.4 Which is the smallest value? (a) -0.05 (b) 2 (c) 0 (d) 7 a What is the smallest value in -3, -3/7, -1? -3 Which is the smallest value? (a) -2/19 (b) 0.3 (c) 2/9 (d) 29 a What is the third smallest value in 62, -3, -5? 62 What is the smallest value in -6, 20, -3, -0.5? -6 What is the third smallest value in -7, -49, -0.3, 1? -0.3 What is the fourth biggest value in 1, -0.3, -0.1, -48? -48 Which is the third smallest value? (a) -0.3 (b) 5 (c) 2 (d) 51/25 d Which is the biggest value? (a) 2/11 (b) 1 (c) -1 b Which is the second smallest value? (a) -0.28 (b) -0.5 (c) 108/13 a Which is the second biggest value? (a) -0.2 (b) 2 (c) -1/4 (d) 0.04 d Which is the biggest value? (a) -4 (b) -0.2 (c) -8 (d) 1 (e) -10 d Which is the biggest value? (a) 719 (b) -0.5 (c) -4/9 a Which is the second smallest value? (a) 1 (b) -0.2 (c) 4 (d) 0.1 (e) 584/3 d What is the smallest value in 4/7, 2.7, 0.2? 0.2 What is the second biggest value in 11, 0.3, -4, -0.2? 0.3 What is the fourth biggest value in 47, 8, -2/3, 0.3, 1/5? 1/5 Which is the biggest value? (a) -11 (b) 137 (c) 1/3 b What is the fifth biggest value in -77, -2/5, 0.1, 1/5, 9? -77 What is the smallest value in 0.4, -0.2, 1/5, 3, -0.1? -0.2 Which is the fourth smallest value? (a) -4 (b) 5 (c) -2/13 (d) -0.08 b Which is the fourth biggest value? (a) -53 (b) -1/4 (c) 4 (d) 2 (e) -4/3 e What is the fourth smallest value in -4, 2, -0.064, 5? 5 What is the third biggest value in 2.2, -4, 3, 0? 0 What is the biggest value in -8, 0.1, 332? 332 Which is the third smallest value? (a) -3/4 (b) -1/7 (c) 167 c Which is the third smallest value? (a) 0.07 (b) -3 (c) -0.5 (d) -2.4 (e) 2 c Which is the smallest value? (a) 8/3 (b) -0.4 (c) -0.2 b What is the smallest value in -142, 0.4, -3? -142 What is the second biggest value in -1.1, 2/179, -2/13, 1? 2/179 What is the third smallest value in -0.2, 551.8, 0.2? 551.8 Which is the second smallest value? (a) 0.1 (b) 0.5 (c) 2/3 (d) 0 a What is the third smallest value in 2/13, 1/2, 1/7, 2/7? 2/7 What is the third smallest value in 0.4, -1/2, 5? 5 What is the fourth smallest value in -4/9, 0, -6, -2? 0 What is the smallest val
{ "pile_set_name": "DM Mathematics" }
69 * 5 -0.06493845 -225*-2159 485775 Work out 7177 * 17. 122009 Product of 0.7 and -392632. -274842.4 What is the product of 4.956 and 0.5? 2.478 Work out -2557 * 2.15. -5497.55 What is the product of 0.35 and 17273? 6045.55 Calculate -699247*-0.3. 209774.1 Work out -163815 * 5. -819075 Multiply -0.009462 and -34. 0.321708 Calculate 0.08*0.349. 0.02792 Multiply 0.029913 and -5. -0.149565 Calculate -0.4*182819. -73127.6 What is the product of 0.0267631 and 4? 0.1070524 -5*-2651 13255 0.1*-57811 -5781.1 Work out -4 * 1125181. -4500724 What is the product of 152 and 0.11136? 16.92672 Product of 0.03 and 18313. 549.39 -0.108 * 1167 -126.036 Multiply 1062 and 0.242. 257.004 2.299 * -1 -2.299 Multiply 95214 and -0.5. -47607 Work out -0.5296 * -1.53. 0.810288 Product of 1 and -1424877. -1424877 0.0385 * -0.119 -0.0045815 2*-0.0381442 -0.0762884 -1.00889 * 0.4 -0.403556 0.83 times 0.4934 0.409522 Work out -204.45 * 1.3. -265.785 What is the product of 4 and 15551? 62204 37109.4*-0.5 -18554.7 What is 3241 times 8? 25928 Product of 3646 and 0.049. 178.654 Multiply -11.4 and -35.04. 399.456 -1665815 * -0.3 499744.5 Product of 330426 and -1. -330426 Product of 0.83596 and 3. 2.50788 Calculate 94809*16. 1516944 Work out 0.2 * 2786.64. 557.328 0 times -62972 0 Product of -9035 and 0.17. -1535.95 What is the product of 6593 and 172? 1133996 Multiply 0.3 and 106.68. 32.004 Product of 1 and -0.12194. -0.12194 Work out -12.44 * -283. 3520.52 1007451 * -0.5 -503725.5 What is -277 times 6.3? -1745.1 Calculate -0.4*157.33. -62.932 What is the product of 193760 and -0.06? -11625.6 Work out -0.5 * 7684. -3842 What is -374 times -0.0688? 25.7312 Multiply -241.87 and -0.9. 217.683 -1727.6 * -0.01 17.276 What is the product of -1.3 and 324? -421.2 What is -85905 times 17? -1460385 Multiply 96324 and 0.04. 3852.96 What is -0.44 times 78051? -34342.44 Multiply -213.5 and -29. 6191.5 What is -0.5 times 1.1577? -0.57885 Work out 0.06 * 215.91. 12.9546 2762*-7 -19334 Calculate 1269.928*0.2. 253.9856 7.2 times -0.4 -2.88 What is the product of -6549 and 3? -19647 Work out 9119 * -0.3. -2735.7 Work out 4 * 123013. 492052 1.76 * 1668 2935.68 4 * -111.278 -445.112 Work out 4735 * -6. -28410 What is the product of -80783 and 3? -242349 Work out -162 * 0.469. -75.978 Work out -48409 * -0.2. 9681.8 Multiply -0.03 and 7398. -221.94 Work out 0 * 18466. 0 Calculate -0.1897*254. -48.1838 Product of 0.3046 and -0.1. -0.03046 -0.5 * -232 116 7.58042 times -4 -30.32168 Work out -0.21 * -8104. 1701.84 Calculate 34*63. 2142 Multiply -0.55141 and 1. -0.55141 Multiply 15 and 118. 1770 What is 6405 times 47? 301035 What is -19634 times -26? 510484 What is the product of 1783 and 1158? 2064714 Product of -18.336 and 3. -55.008 Work out -0.099114 * -1. 0.099114 What is 0.5 times 146757? 73378.5 Calculate 585*-0.2. -117 Multiply -0.01 and -150003. 1500.03 382 * 225 85950 -2.93*0.979 -2.86847 What is 1.97 times 0.486? 0.95742 Calculate -8*1136.12. -9088.96 What is the product of 7.47 and -0.556? -4.15332 -0.074943 times -4 0.299772 -0.102 times -1.159 0.118218 Product of 1 and -49849. -49849 What is the product of 189357 and -0.4? -75742.8 -0.23 times -1687 388.01 -0.5 times -136.152 68.076 1.04*321 333.84 0.3*7.436 2.2308 -0.199 times -0.5754 0.1145046 Work out -625 * 0. 0 2*-0.048769 -0.097538 -759.984 times 0 0 Product of -0.03 and -567207. 17016.21 What is the product of -38 and 147.54? -5606.52 Work out -231.68 * 5. -1158.4 Work out 5 * -24825. -124125 What is the product of 32 and 163.2? 5222.4 What is the product of 0.5 and 10909? 5454.5 -1027.9*1.1 -1130.69 0.2 * -21797 -4359.4 What is 0.5 times 77658.5? 38829.25 What is the product of 33.2 and -144.9? -4810.68 Work out -0.7 * -133.41. 93.387 What is the product of -452.2 and -710? 321062 Product of 0.4 and -29281. -11712.4 What is 0.0295 times 82? 2.419 Calculate 30*-70.35. -2110.5 -2 * -236.231 472.462 5*-6.524 -32.62 Work out -0.16124 * 2. -0.32248 Calculate -566*-0.172. 97.352 Calculate -12*-960. 11520 -23*35.08 -806.84 What is 177 times 6507? 1151739 -39.74 * -44 1748.56 65.055 times -1 -65.055 1*-179.1 -179.1 -0.24594*4 -0.98376 Calculate 0.7*411683. 288178.1 Multiply -1.26 and -48. 60.48 Product of 0.4685 and -0.1. -0.04685 What is the product of 7 and -0.10731? -0.75117 -1 times 25728 -25728 491283 times 3 1473849 3279 * 80 262320 Multiply -695 and 0.7. -486.5 Calculate -1.16*-1282. 1487.12 What is the product of -2 and 483632? -967264 Product of -4.94997 and 0. 0 Product of -0.2151 and -560. 120.456 Calculate 3714*0.04. 148.56 Product of -2524.9 and 10. -25249 Calculate 12*19.54. 234.48 Product of 2 and -104253. -208506 -6.2797 * 0.42 -2.637474 Multiply 21.8 and 35. 763 What is 156 times -11? -1716 Calculate 0.3*783.08. 234.924 Product of 1.549913 and -2. -3.099826 207641 * -0.1 -20764.1 Work out -278 * 0.113. -31.414 Multiply -93 and 2672. -248496 Product of -0.5 and 1.40265. -0.701325 What is the product of -1 and 11459? -11459 -0.003 times -0.08639 0.00025917 Work out -1765 * 40. -70600 Work out 0.4 * 0.63982. 0.255928 Product of 147 and 346.4. 50920.8 What is the product of 467122 and 3? 1401366 Multiply -56156 and -0.08. 4492.48 0.26 times -332.8 -86.528 -7377*1.4 -10327.8 Calculate -1465.27*-5. 7326.35 What is -0.01 times 0.42546? -0.0042546 0*14484 0 What is the product of -0.23 and 201? -46.23 -26.47 * 9 -238.23 What is the product of 15.6 and 1.2663? 19.75428 Product of -0.2 and -18.6. 3.72 Work out -0.076 * 902. -68.552 What is the product of -46 and -136? 6256 -231874*2.1 -486935.4 Work out 4 * -0.08635. -0.3454 Product of 6941 and -0.13. -902.33 0.00261*-0.4 -0.001044 What is the product of -0.474 and -0.0413? 0.0195762 Work out 0.1007 * 1.744. 0.1756208 Work out 18 * 29081. 523458 Work out -271 * 328. -88888 Calculate -6331169*5. -31655845 Product of -1091.7 and 1.01. -1102.617 What is -1.466 times 78.2? -114.6412 Product of -1.4972 and 2. -2.9944 0.2 * 25497 5099.4 1.09 * -26411 -28787.99 What is the product of 0.147 and 0.048? 0.007056 What is -10.81595 times 0.3? -3.244785 Work out -753388 * 4. -3013552 Multiply -2292.75 and 5. -11463.75 What is the product of 37.8 and -5204? -196711.2 -134.63 times -54 7270.02 Product of 4 and -15733. -62932 Calculate -296*-9.4. 2782.4 Product of 3 and -5056.2. -15168.6 Work out 2 * 31626. 63252 Product of 0.148 and 4.54. 0.67192 -116 times -19.5 2262 What is the product of -10007 and -0.6? 6004.2 Product of -7 and 1.2109. -8.4763 Multiply 16.35 and -4. -65.4 Work out 0.0461 * 5. 0.2305 What is 327875 times -0.2? -65575 Calculate 0.13*-20167. -2621.71 Multiply -483.5 and -0.148. 71.558 What is -0.7 times -7406.1? 5184.27 Product of -0.1 and -47036. 4703.6 -672.2*-0.321 215.7762 Calculate -5.863*0. 0 Product of -239 and -524.4. 125331.6 Product of 3 and 1022770. 3068310 Calculate 105*508. 53340 -0.4*-995.6 398.24 Calculate -3.2447*-2.3. 7.46281 61 times -2968 -181048 What is the product of 577 and -0.84? -484.68 -5 * 66828 -334140 Product of -0.3 and -123742. 37122.6 What is 0.0437 times -67? -2.9279 Multiply -3 and -27.2657. 81.7971 What is the product of -56590 and 3? -169770 What is -1.2566 times -203? 255.0898 -359.779 times 0.2 -71.9558 Multiply -41 and -0.0747. 3.0627 Product of 4907 and 0.052. 255.164 What is 0.1 times -0.86597? -0.086597 What is the product of 0.06203 and 59.7? 3.703191 4 * -1449.7 -5798.8 Work out 0.12 * -1554.32. -186.5184 -0.1 times -84231 8423.1 What is 81.4 times -69? -5616.6 0 * -29165.3 0 1 * -0.0326 -0.0326 0.1471347 * 0.4 0.05885388 Work out -182973 * -2. 365946 Work out 1.76 * -0.02. -0.0352 What is the product of -99 and -214? 21186 -9*0.016328 -0.146952 1.1*-672920 -740212 Work out -1 * 0.068262. -0.068262 Work out -0.11 * 101323. -11145.53 -953.2*3 -2859.6 1810*-40 -72400 Product of -0.1 and -29749. 2974.9 1.8691*141 263.5431 What is the product of -823774 and 2? -1647548 Product of -0.09 and -679.91. 61.1919 What is 275 times -0.88? -242 Work out -0.07 * 9.2. -0.644 35.1*-126 -4422.6 What is the product of 0.1114 and -34? -3.7876 Product of 28.7 and 210.2. 6032.74 What is the product of 1.9 and 7.097? 13.4843 Product of 0.4 and -10.81. -4.324 Calculate -9.6*-88. 844.8 Calculate 44*-18.119. -797.236 16900 times -13 -219700 Calculate 12768
{ "pile_set_name": "DM Mathematics" }
)*5*1. -45 + 135*sqrt(2) Simplify ((-1 + 1 + sqrt(272) - sqrt(272))*-2)**2 - (((-1*sqrt(272))**2 - sqrt(17)) + sqrt(17) + -5 + (0 + sqrt(17) - sqrt(17))). -267 Simplify (sqrt(931) + 3 + -1 - (sqrt(931) + -2 + sqrt(931) + -2))**2. -84*sqrt(19) + 967 Simplify -2 + (sqrt(3) - (2*sqrt(27) - sqrt(3))) + 0 + (sqrt(363) - (sqrt(363) + ((sqrt(363)*1 + sqrt(363))*-2)**2)) + sqrt(363). -5810 + 7*sqrt(3) Simplify (-5*-3*sqrt(6655))/(2*sqrt(1584) - (-2*sqrt(66) - sqrt(66))/sqrt(6)). 55*sqrt(5)/9 Simplify 3*(-5 + (5 + sqrt(19)*2 + sqrt(19))**2) - sqrt(209)/(sqrt(539)*2)*-3. 1263*sqrt(19)/14 + 573 Simplify 2 + -3*sqrt(171) + 4 + -2. -9*sqrt(19) + 4 Simplify -3 + ((sqrt(99)*-5*4)**2 - ((sqrt(5500) + -1*sqrt(5500) + sqrt(5500) + sqrt(5500) - sqrt(5500))/sqrt(5))**2). 38497 Simplify -4*(-2 + (2*sqrt(252))**2 - (1 + sqrt(252)*2)). -4020 + 48*sqrt(7) Simplify 3 + -3 + (sqrt(5) + -1)**2 + (0 + sqrt(605))**2 + (sqrt(5) - sqrt(5)*-2*1) + -3. sqrt(5) + 608 Simplify ((sqrt(231) + sqrt(231)*-2 + sqrt(231))/sqrt(7) + sqrt(99)/sqrt(3)*-2)/(sqrt(891) - -6*(sqrt(891) - (sqrt(891) + sqrt(891)*-2)))*6. -4*sqrt(3)/39 Simplify (sqrt(504)/sqrt(4)*-2)/(sqrt(288)*1 - -1*sqrt(128)). -3*sqrt(7)/10 Simplify 3 + sqrt(65)/sqrt(5) - (-3 + sqrt(91)/sqrt(7)) - ((-1*(sqrt(117) - -1*sqrt(117)) + sqrt(117))/(sqrt(1296)*2 + sqrt(1296) + sqrt(1296)))**2. 13811/2304 Simplify ((sqrt(288) - ((sqrt(288) - (sqrt(288) + 1) - sqrt(288)) + -4 - sqrt(288)) - (sqrt(288) + (-2*sqrt(288)*-3 - sqrt(288)))) + 0)**2. -360*sqrt(2) + 2617 Simplify sqrt(152)/(sqrt(88)/(-2*sqrt(11))) - (sqrt(19) - (sqrt(19) - (sqrt(2736) + 1))**2 - (sqrt(19) - -2*sqrt(684))**2). 19*sqrt(19) + 5511 Simplify 4*(((1 + sqrt(11))*5)**2 + 5 - (-1*sqrt(11)*-1 - (sqrt(99) + (1*sqrt(99) - sqrt(99)))**2)). 196*sqrt(11) + 1616 Simplify (sqrt(209)/(sqrt(22)/sqrt(2)) - (sqrt(171))**2*-1) + -1 - (sqrt(2736) + -1 + 0)**2*5. -13515 + 121*sqrt(19) Simplify (-4*-1*sqrt(171)*-2 + 5)**2 + -2. -240*sqrt(19) + 10967 Simplify (1 + (sqrt(76) - (-5 + (sqrt(76) + 0 - sqrt(76))))*-2 + -3)**2. 96*sqrt(19) + 448 Simplify (1*sqrt(78)/sqrt(96))**2 + -2*2*sqrt(1573). -44*sqrt(13) + 13/16 Simplify (5 + (sqrt(288) - (sqrt(288) + (sqrt(288) - (sqrt(288) + sqrt(288) + 2)))) + 4 + -4)**2*6. 1008*sqrt(2) + 2022 Simplify (sqrt(34)/(sqrt(2) - sqrt(2)*4)*-1 + 4*(sqrt(153) + 6*sqrt(153))/sqrt(9))**2. 122825/9 Simplify 4*-4*((-1*sqrt(171) + sqrt(171))/sqrt(9) + 2)*1. -32 Simplify 3*(-3*(sqrt(65) - (-1*sqrt(65) + sqrt(65))))/sqrt(5)*-3. 27*sqrt(13) Simplify (5*(1 + (sqrt(425) - (-1 + sqrt(425)*1)) + 1))**2*-4. -900 Simplify (4*sqrt(228)*1)/(sqrt(48)/(sqrt(28)/sqrt(7))). 4*sqrt(19) Simplify 1 + -3*-1*(0 + sqrt(26)/sqrt(2))*4. 1 + 12*sqrt(13) Simplify (-3 + 3 + -5*((0 + sqrt(175) + sqrt(175))*-3 + sqrt(175)*-2*-6 + sqrt(175) + sqrt(175)))**2. 280000 Simplify sqrt(60)/(4*sqrt(72)/sqrt(6)) + (-2 + (2*sqrt(5))**2 - (sqrt(20)/sqrt(4))**2*4). -2 + sqrt(5)/4 Simplify (-3 + sqrt(10)/sqrt(2) - (sqrt(25) - -1*sqrt(25))/sqrt(5)) + -1*2*(sqrt(5) + 1). -3*sqrt(5) - 5 Simplify ((sqrt(1900) + (sqrt(1900) - (sqrt(1900)*3 + 1)) + sqrt(1900) + 2 + 0)*1)**2. 1 Simplify (sqrt(38) + (sqrt(38) - (sqrt(38) - (sqrt(38) - (sqrt(38) - (sqrt(3800) + -1*sqrt(3800)))))))/(1*sqrt(288))*3. sqrt(19)/4 Simplify ((sqrt(13) + sqrt(52)/sqrt(4) + sqrt(13) - sqrt(13))*-2*-3)**2 - (1 + 1 + sqrt(52))**2. -8*sqrt(13) + 1816 Simplify 2 + (2*(-1*sqrt(125) + 4))**2 + -1. -160*sqrt(5) + 565 Simplify (-1 + (5 + sqrt(24)/sqrt(8) - sqrt(3)) - sqrt(15)/(sqrt(405)*-2))**2. 4*sqrt(3)/9 + 1729/108 Simplify ((3 + sqrt(153))*5*-1)**2 - (-3 + (sqrt(153) - (sqrt(153) + 1))*1)**2. 450*sqrt(17) + 4034 Simplify -1*((sqrt(931) + (1*sqrt(931) + sqrt(931))**2 + 3 - sqrt(931)) + (sqrt(931) + sqrt(931)*-2)*3 + sqrt(931) + 3 + 2*(1*sqrt(931))**2). -5592 + 14*sqrt(19) Simplify 2*(2 + -1*sqrt(108) + sqrt(108) - -3*sqrt(108)*-1) + 2. -36*sqrt(3) + 6 Simplify ((-2*(sqrt(152)*-1 + sqrt(152) + sqrt(152)) - 4*sqrt(152)*2)/(sqrt(800)*-2*-5))**2. 19/100 Simplify (-1*sqrt(5)*5 + -5 - (sqrt(5) - (sqrt(245)*-4 - sqrt(245)))*1)**2. 410*sqrt(5) + 8430 Simplify (sqrt(13) + 0)*-6 + sqrt(1872) + 0 + sqrt(1872) + (sqrt(13) - (sqrt(117)*-2)/sqrt(9) - (0 + (sqrt(13) + 1 - sqrt(13))))**2. 12*sqrt(13) + 118 Simplify (-2*sqrt(153)*2 + sqrt(153))/(sqrt(108)/(sqrt(12) + sqrt(24)/sqrt(2)))*-6. 36*sqrt(17) Simplify (((sqrt(297) + sqrt(33))/sqrt(3))**2 + 1 - (sqrt(275) + 0 + -4)) + -4. -5*sqrt(11) + 177 Simplify sqrt(18)/((sqrt(864) + 2*sqrt(864) - sqrt(864)) + sqrt(864)) - 2*sqrt(243)*2. -1295*sqrt(3)/36 Simplify 0 + 1*((sqrt(200) + -1)**2 + sqrt(18)/sqrt(144))*1. -79*sqrt(2)/4 + 201 Simplify (4 + -4*sqrt(1620))**2 + -4 + (sqrt(720)*5)**2. -576*sqrt(5) + 43932 Simplify (-5*(sqrt(384) - sqrt(384)*-1))/(sqrt(128) + (sqrt(128) - 1*sqrt(128))). -10*sqrt(3) Simplify (sqrt(90)/(1*sqrt(2)) - (-1*sqrt(1125) - sqrt(45)))/(2*(sqrt(1089) - (sqrt(1089) + -3*sqrt(1089)))). 7*sqrt(5)/66 Simplify (sqrt(405) + -1)*1 + -5*(-2*sqrt(405))**2 + 1. -8100 + 9*sqrt(5) Simplify -3*-4*(3 + 2*(sqrt(1216) + 0))*-1. -192*sqrt(19) - 36 Simplify (2 + 0 + ((sqrt(832) + -1)*-1 + sqrt(832) + 2)*-4)**2. 100 Simplify (sqrt(90)/(sqrt(160)/sqrt(2)))/(sqrt(60)/((sqrt(10) + sqrt(10)*3)*-6 + sqrt(10))). -23*sqrt(3)/4 Simplify (((sqrt(1377) + -1 + -5 - sqrt(1377))*1 + 3)*-1)**2*1. 9 Simplify -4*(-5*sqrt(88)/sqrt(4))/(sqrt(2) + (sqrt(8)/sqrt(2))/sqrt(2))*5. 50*sqrt(11) Simplify ((3*sqrt(20))/sqrt(5))/(sqrt(242)*2)*-6*2. -18*sqrt(2)/11 Simplify (sqrt(448)*-1 + sqrt(7))**2 + (-4 + sqrt(63))**2 - (-1 + sqrt(700) + -2 + 2)**2. -279 - 4*sqrt(7) Simplify ((sqrt(1700) + 0 + sqrt(1700) + -1 - (sqrt(1700) + sqrt(1700)*1*-6)) + -3)**2. -560*sqrt(17) + 83316 Simplify -2*((sqrt(55)/(-3*sqrt(11)))**2 - ((sqrt(75)/sqrt(3))/sqrt(5))**2) + -3. 53/9 Simplify 2 + sqrt(1900)*4 + sqrt(19) + ((sqrt(304) + sqrt(304) + -1 + sqrt(304))*-5)**2. -559*sqrt(19) + 68427 Simplify (sqrt(76)*-1*4)/(sqrt(144)/sqrt(4)) + 3. -4*sqrt(19)/3 + 3 Simplify 1 + -1*(sqrt(539) - ((sqrt(539) + sqrt(539)*-1 + 0)**2 - sqrt(539))) + -1. -14*sqrt(11) Simplify (5 + 5*(-3 + sqrt(17)) + 2 + 1 + sqrt(833))**2 + -3. -168*sqrt(17) + 2494 Simplify (1*sqrt(180)*-1)/((sqrt(189)/sqrt(3)*5)/sqrt(7)). -2*sqrt(5)/5 Simplify ((sqrt(672) - 1*sqrt(672)*-2)/sqrt(12))/(((sqrt(80)*2*5 - sqrt(80)) + sqrt(80))/sqrt(10)). 3*sqrt(7)/10 Simplify ((-1*-2*sqrt(78))/sqrt(6) + sqrt(143)/(-6*sqrt(11)*-3) + -2)**2. -74*sqrt(13)/9 + 19093/324 Simplify (sqrt(136) + (sqrt(136) - (sqrt(136) + (-4*sqrt(136)*6 - sqrt(136)) - sqrt(136))))/(6*(sqrt(72)/sqrt(9) + sqrt(8))). 9*sqrt(17)/4 Simplify (sqrt(30) + -1*sqrt(120) - (sqrt(90) - ((sqrt(90) - 1*sqrt(90)) + sqrt(90) - sqrt(90) - sqrt(90)))/sqrt(3))/(sqrt(50)/(sqrt(45)/(-3*sqrt(9)))). sqrt(3) Simplify (-1 + sqrt(11)*2 + 5 + 0 + sqrt(539))*-3. -27*sqrt(11) - 12 Simplify ((-2*(sqrt(315) + -1*sqrt(315)) - sqrt(315))/(sqrt(112)*3 + (sqrt(7) - -3*(sqrt(63) - sqrt(7)))))**2. 45/361 Simplify (-3*(sqrt(66) + 1*sqrt(66)) + -6*sqrt(66)*2)/(2*sqrt(864)*3). -sqrt(11)/4 Simplify ((-3 + -1*(-1 + sqrt(27)) + sqrt(972)*1)*3)**2. -540*sqrt(3) + 6111 Simplify (2*sqrt(162)*-1 + sqrt(162))*1 - ((sqrt(162) - sqrt(162)*3) + 1 + sqrt(162) + 2)**2. -171 + 45*sqrt(2) Simplify (4 + (sqrt(1008)*-1*4)**2)*-1 + 3. -16129 Simplify (-4*(sqrt(5) - sqrt(5)*-3)*-5*1)**2*-3. -96000 Simplify (sqrt(468)*-1 + 2 - (-2*1*sqrt(468) + sqrt(468)) - (sqrt(468) + sqrt(468) + 0 + -3 + -5))**2 + -2. -240*sqrt(13) + 1970 Simplify -2 + (sqrt(832) - 1*sqrt(832))**2 + 2*(-1 + sqrt(832)) - ((-1 + sqrt(832))*1 + -2*sqrt(832)*2)**2. -7493 - 32*sqrt(13) Simplify (5 + -1 + (-2*sqrt(2541))/(sqrt(56)/(sqrt(16)/sqrt(2))))*6. -132*sqrt(3) + 24 Simplify -5*((1*(2 + sqrt(1300)) + 0)**2 + -4)*-2. 400*sqrt(13) + 13000 Simplify -1*(-2*sqrt(200) + -5 + sqrt(200)*-2 + 2 + -3) + 1. 7 + 40*sqrt(2) Simplify (-3*(sqrt(114) + sqrt(114) + (sqrt(114) - (sqrt(114) - -2*sqrt(114))))*-3)/((sqrt(72) + (sqrt(72) - 1*(sqrt(72) + sqrt(72)*2 + sqrt(72))))/sqrt(12)). 0 Simplify -2 + (((sqrt(208) - sqrt(208)*-1 - sqrt(208))/sqrt(8))/(-2*sqrt(98)))**2. -379/196 Simplify (3*sqrt(78)*5)/(sqrt(42)/sqrt(7)*2). 15*sqrt(13)/2 Simplify (sqrt(343)*1 + 2 + 0 + (sqrt(343) - 1*sqrt(343)) + sqrt(343) - ((sqrt(343) + 1 - sqrt(343))*-5 + (sqrt(343) + 0)*-6))**2. 784*sqrt(7) + 22001 Simplify ((4 + -4*(-1 + sqrt(648)))*5)**2. -28
{ "pile_set_name": "DM Mathematics" }
me? False Let i = 30 - 18. Suppose i = t + 2*t. Suppose t*d - 543 = d. Is d prime? True Let y(a) = -44*a + 7. Let h(m) = -7*m**3 - m. Let v be h(1). Let z(r) = -131*r + 20. Let c(u) = v*y(u) + 3*z(u). Is c(-3) prime? True Suppose -2*a + 4*a = 184. Suppose 0 = -9*w + 7*w + a. Is w a composite number? True Let o(u) = u**2. Let w(f) = -7*f**2 + 2*f + 7. Let v(r) = -3*o(r) - w(r). Suppose 0*x = -2*x + 20. Is v(x) composite? False Let f be ((-125)/2)/((-2)/28). Suppose 2*i + 2*t = -f + 2401, 0 = i + 4*t - 778. Is i composite? True Let t(p) = 174*p + 121. Is t(19) a prime number? False Is 4684 + 1 - (-3 + 9) prime? True Let g(k) = -297*k - 1. Let r be g(1). Let j = r - -565. Let p = j + 40. Is p prime? True Let r = -3202 - -2169. Let h = -731 - r. Is h prime? False Suppose -17*h = -327548 - 620423. Is h a composite number? False Let k(s) = 31*s + 41. Let z be k(12). Let l = z - 244. Is l prime? False Let x(v) = 29*v**2 - 8*v + 7. Let n(i) = -2*i**2 + i - 4. Let l be n(0). Is x(l) a prime number? True Let r = 15 - -8. Let m(o) = o**2 - 36. Is m(r) a composite number? True Let k = 1 - -4. Suppose -3*u - 11 = -k. Let j(s) = -18*s**3 - 4*s**2 - 2*s + 2. Is j(u) a composite number? True Let d(j) = -60*j**3 - 6*j**2 - 3*j + 7. Let o(z) = 61*z**3 + 6*z**2 + 3*z - 7. Let b(y) = -4*d(y) - 5*o(y). Is b(-3) a composite number? True Suppose 5*q - 32700 = 5*s, 13*s + 13077 = 2*q + 14*s. Is q prime? False Let g = 28 - 23. Suppose -626 - 1389 = -g*u. Is u prime? False Let n = 0 + 3. Suppose -h - 4*h = -135. Is (-84)/(-9)*h - n a composite number? True Suppose -4*d = -2*d. Suppose d = 3*w + 3*o - 12, 9 - 1 = -3*w + 2*o. Suppose w = -3*l + 853 + 134. Is l a composite number? True Let c = -23 + 25. Let j(z) = z**2 - z + 1. Let p(v) = -59*v**2 + 7*v - 7. Let n(u) = -6*j(u) - p(u). Is n(c) a composite number? False Suppose 246*u - 258*u + 688404 = 0. Is u composite? False Let f be (4 + (-12)/9)*3. Suppose 6 = 4*b - 2*l - f, 5*b = -5*l + 25. Suppose 0*q - b*q = -1004. Is q a composite number? False Let k = 42 - 33. Suppose k*y - 5*y = 2284. Is y a prime number? True Let g(k) = 32813*k - 60. Is g(1) prime? False Suppose -430*c - 148273 = -461*c. Is c a prime number? True Let x = 1163 - -3876. Is x a prime number? True Is 11646 - (-5)/(-2 + 1) composite? True Suppose 5*v - v + 236 = 0. Let a be (6 + -5)/(4/368). Let c = v + a. Is c a composite number? True Let v = -13 + -2. Is (v/(-10) - -4)*58 composite? True Let y = 19 - 19. Suppose -5*c = -y*c - 2470. Suppose -14*q = -16*q + c. Is q a composite number? True Suppose -32 - 8 = 5*m. Let g(n) = -5*n**3 - 16*n**2 - 2*n + 9. Is g(m) composite? True Let q(i) be the first derivative of -41*i**2 - 12. Is q(-1) a composite number? True Let m = -22174 - -65621. Is m a prime number? False Suppose 0 = -6*n + 273 - 57. Let d be ((-63)/n)/(1/4). Let y(c) = 12*c**2 + 3*c - 10. Is y(d) a composite number? False Suppose -2*y = 2*m - 16, 2*y - 4*m - 16 = -5*m. Suppose 31094 = y*g + 6*g. Is g prime? True Let k(n) = -7*n - 10. Let j be k(-5). Is j/(-5)*5/(25/(-22)) prime? False Let w = -351 - 65. Let t = w + 895. Is t composite? False Let u be (-9)/(-6) - 3/(-6). Suppose 0*o - l + 83 = 2*o, 0 = -2*l - u. Let b = 395 - o. Is b prime? True Suppose 378 = -8*l + 7*l. Let t = l + 634. Let z = t - -153. Is z prime? True Let f(p) = p + 12. Let g be f(-7). Suppose -g*v - 221 = -6*v. Is v prime? False Let y(l) = l**3 + 20*l**2 + l + 26. Let r be y(-20). Suppose -3*k = 4*n - 5*n - 20, -4*k + n = -28. Suppose k*s - r*s - 446 = 0. Is s a composite number? False Suppose 0 = 23*j + 438672 - 1850734. Is j a composite number? True Suppose 19*d - 24*d + 12775 = 0. Suppose -d = -10*k + 2175. Is k a prime number? False Suppose 2358 = 6*o + 630. Suppose 0 = 2*s - o - 2348. Is s a prime number? False Suppose -15*c + 3*p = -12*c - 14958, -19939 = -4*c + 3*p. Is c composite? True Suppose -4473 + 329 = -4*k. Suppose -j + 346 = -3*q + 87, -q = -4*j + k. Is j prime? False Let o(w) = 4*w**2 - w - 35. Is o(-12) composite? True Let h be 24*(4/4 - 3). Let k = -25 - h. Let a = k + 180. Is a a composite number? True Let b(r) = -5*r + 2*r**2 + 2*r + 2*r + 6. Suppose 35 = -5*m + 10*m. Is b(m) a prime number? True Let a = -236 + 557. Suppose -4*m = -3*m - a. Is m a composite number? True Let w(l) = 190*l**2 + 16*l - 47. Is w(5) composite? False Suppose 2*x - 4*c = 754, 2*x + 0*x - 756 = 3*c. Is x composite? True Suppose 3*v = 3*b + 2*b + 26, 4*b = 4*v - 40. Let d(n) = n**3 - 8*n**2 + 4*n + 7. Is d(v) composite? False Suppose 4*d + 2*u + 2*u = 0, 5*u = -20. Suppose -5*l = -3*t - 205 + 4422, d*t - 5612 = 4*l. Is t composite? False Suppose -18*p = -86867 + 35333. Is p composite? True Let t(o) = -o**3 - 12*o**2 - 2 - 20 + 11*o - 9. Is t(-15) prime? True Suppose 5*g + 40 - 235 = 0. Let x = 324 + g. Suppose -2*l = -j - x, 0*l = -3*l - j + 532. Is l a prime number? True Let k = 27602 - 18025. Is k prime? False Suppose -7*n + 666 + 937 = 0. Let r = 1 + 9. Let t = n + r. Is t a prime number? True Let j = -6942 - -10601. Is j prime? True Suppose -5*l + 40 = -0*l. Let t be ((-4)/l)/(2/(-32)). Is 1/2 + 460/t a prime number? False Suppose 5*i + 4*b = 7965, -45*i + 2*b = -43*i - 3204. Is i a composite number? False Let x = 2176 - -2091. Is x prime? False Let o(z) = 5*z**2 + 10*z - 41. Is o(-18) composite? False Suppose 4*a = -5*h + 1073, -a + 3*h = 5*h - 269. Suppose 0 = -p - 3*i - 107 + 358, 0 = -p + i + a. Is p a prime number? True Let q(z) = z**3 + 54*z**2 - 99*z + 1. Is q(-51) a prime number? True Suppose -3*k + 0*k = 3*w + 162, -4*w - k - 219 = 0. Suppose c + 211 + 139 = 0. Let d = w - c. Is d a prime number? False Let a = -5771 - -14254. Is a a composite number? True Let g(n) = 3*n + 17. Let i be g(-5). Is (2/i)/((-1)/(-3)) - -2218 prime? True Is (91398/(-9))/(26/(-39)) prime? True Suppose 5*y - 3 = 22. Suppose 0 = b + 5, -y*i + b = -3*b - 1035. Is i prime? False Suppose 4*m - 3563 = 209. Let q = -604 + m. Is q prime? False Suppose 441*l - 443*l + 11756 = 0. Is l prime? False Let i(s) = s**3 - 8*s**2 - 3*s + 10. Let v be i(8). Let j be 42/4 - 7/v. Suppose -j*f - 1172 = -15*f. Is f a composite number? False Is (5/(-15))/((49/119049)/(-7)) a composite number? False Suppose 9 = -3*u - o + 20, 0 = -4*u + o + 17. Suppose -5*t - 5*m = -t - 281, 5*t + u*m - 349 = 0. Is t composite? True Is (0 - -3 - 2)/(3/381093) composite? False Let b(o) = 2*o**2 + 24*o + 21. Suppose -18 = -14*n + 15*n. Is b(n) a composite number? True Suppose 3*q - 7*q + 3*k + 10331 = 0, 0 = 2*q - 2*k - 5168. Is q prime? True Suppose 0 = 22*a - 44544 - 259562. Is a a composite number? True Suppose 0 = 11*i - 14*i - 5*c + 8324, c = 1. Is i a prime number? False Is (-5 - (3/(-9) - 5))*609 composite? True Let u = 16464 - 9685. Is u composite? False Suppose -m - z + 2 = 0, 2*m - 3*z = -4*z + 4. Let s(w) = -12*w**m - 4 + 4*w**3 + w**3 - 4*w**3 - 14*w - 1. Is s(14) composite? False Let u = 61769 - 40302. Is u a composite number? False Suppose -4*p = -3*p - 23. Let d = 38 + p. Let k = d + -38. Is k composite? False Let k = 2853 + 3614. Suppose 2*b - k = -5*z - 2*b, 3*b - 9 = 0. Is z a prime number? True Suppose 840 = t + 2*c - 6*c, -5*t + 4075 = 5*c. Suppose 4*b - t = -108. Is b a prime number? False Suppose -3*a - 9 = l, l - 4*a = -2*l + 25. Suppose 779 = w + 2*i, -2*w + 7*w = -l*i + 3916. Suppose -x + 6*x - w = 0. Is x prime? True Let t(k) = -133*k + 39. Let l be t(-12). Suppose -3*z = -l - 270. Is z composite? True Let d(b) = b**3 + 8*b**2 - b - 6. Let g be d(-8). Suppose -g*j + n - 4093 = 0, -4*n = j + 3*j + 8216. Let l = -1414 - j. Is l a composite number? True Suppose 3*h + 4969 = -i + 5*i, -1 = -h. Is i prime? False Let p = -41684 - -73119. Is p a prime number? False Suppose -4*d + 65001 = -k, 0*k + 25 = -5*k. Is d composite? False Let c(g) = -g**3 - 3*g**2 + 10*g + 26. Let i be c(-11). Let t = -505 + i. Is t composite? False Let u(r) be the first derivative of r**4/4 + 8*r**3/3 - 4*r**2 + 11*r + 6. Let c be u(-9). Suppose -c*n = n - 1227. Is n a prime number? True Let z(k) = k**2 - 4*k + 6. Let m be z(3). Let q(y) = 98*y**2 + 3*y + 10. Is q(m) composite? True Is 938/(-21)*-4 + 2/6 a prime number? True Let g(t) = 32 - 23*t**2 - 33 - 19*t**2. Let d be g(-4). Let k = 1626 + d. Is k a prime number? True Let q(y) = 134
{ "pile_set_name": "DM Mathematics" }
5, 2, 0? 5 Which is the third biggest value? (a) 3/7 (b) 0.2 (c) -1/11 (d) -11 c What is the third smallest value in 3/8, 0.4, -2/5, 0.3? 3/8 What is the smallest value in -0.2, 0, -5/6, -4/7? -5/6 What is the smallest value in -3/8, -183, -1/3? -183 Which is the third biggest value? (a) -2 (b) 1 (c) -3 c What is the third smallest value in 17, -2, 3, 4? 4 What is the third smallest value in 6, 7, -3? 7 Which is the smallest value? (a) 5 (b) -6/13 (c) -5 (d) 0.2 c Which is the fifth biggest value? (a) -15 (b) 0.5 (c) 14 (d) 3/5 (e) -5 a What is the third smallest value in -0.02, 3, 7, -4, 4? 3 Which is the second smallest value? (a) 4470 (b) -1/3 (c) 1/6 c Which is the biggest value? (a) -0.1 (b) 0.1 (c) -7 b What is the third smallest value in -2, 15, -15? 15 Which is the third biggest value? (a) -5 (b) -63/2 (c) -2/7 b Which is the fifth smallest value? (a) 2/3 (b) 3 (c) -1/4 (d) -0.3 (e) -3/7 b What is the third smallest value in -2.3, 1/10, 5, 0.21, 0.5? 0.21 Which is the fifth smallest value? (a) -0.1 (b) 0.5 (c) 3 (d) 151 (e) 0.1 d Which is the third smallest value? (a) -1/4 (b) -16 (c) 2/47 c Which is the third biggest value? (a) 32/5 (b) 2/11 (c) 2 b What is the third biggest value in -3/4, -157, -1, 0.09? -1 What is the smallest value in -10/17, 0.2, -0.4, -0.1? -10/17 What is the second smallest value in 5, -3, -0.0478? -0.0478 Which is the second smallest value? (a) -2/15 (b) -4 (c) 0.5 (d) -6 b What is the second biggest value in -1/5, 3/5, -3/2, 0.4? 0.4 What is the third biggest value in -0.286, -3, 5? -3 What is the biggest value in -0.5, 6, 4, 2? 6 What is the third smallest value in 1/5, 1/4, 13/28? 13/28 What is the third smallest value in -2/33, 1, -9.3? 1 What is the smallest value in -1/3, -6, 6, 8/3? -6 Which is the biggest value? (a) 0.55 (b) 0.3 (c) -1/5 (d) -2 a What is the third biggest value in -0.011, -3, -7, 1/7? -3 Which is the smallest value? (a) -1/11 (b) -0.37 (c) 4 b What is the smallest value in -2/3, -3/2, 0.06, 0? -3/2 What is the biggest value in -1, -1/10, 0.5? 0.5 What is the smallest value in 5, 72, -15? -15 What is the third biggest value in 175, 2/15, -1/4? -1/4 Which is the smallest value? (a) 92 (b) 4 (c) -2 c What is the smallest value in -11, 0.3, 2/21, -2? -11 What is the third smallest value in -0.1, -4/25, -0.5, 0.5, 1? -0.1 Which is the second biggest value? (a) 1.1 (b) 110 (c) 1/2 (d) 0.1 a What is the second biggest value in -11, 0.111, -5? -5 Which is the second biggest value? (a) 1/3 (b) -7/4 (c) 2/5 a What is the second smallest value in 0.5, -13.3, -4? -4 Which is the smallest value? (a) 1/7 (b) 0.3 (c) -18.7 c What is the second smallest value in 6, -0.4, 0.01, -3? -0.4 Which is the third smallest value? (a) 4 (b) 0.5 (c) 2 (d) 5 a Which is the biggest value? (a) 5 (b) -2/5 (c) 2/27 (d) -0.82 a What is the smallest value in -9/7, -3, 12? -3 Which is the second biggest value? (a) -2/13 (b) 79/2 (c) -3/5 a Which is the second biggest value? (a) 4/7 (b) 0.13 (c) -2/11 b Which is the smallest value? (a) 40 (b) 2/23 (c) -1/11 (d) 2/5 c Which is the third smallest value? (a) 4 (b) -409 (c) -5 a Which is the third biggest value? (a) 0.1 (b) -11/4 (c) -0.5 b Which is the second smallest value? (a) 1/3 (b) -5 (c) -2/25 (d) 2 (e) -1 e Which is the third smallest value? (a) -3/5 (b) 8 (c) 9 (d) -1 (e) -0.2 e What is the third smallest value in -16, -0.2, -0.5? -0.2 What is the third biggest value in -7, -0.4, 0.13? -7 Which is the third smallest value? (a) 1/4 (b) 11 (c) -3 b Which is the biggest value? (a) 4 (b) 2/3 (c) -0.56 a Which is the second smallest value? (a) -1 (b) 83 (c) 2/11 c What is the third smallest value in -1/5, -148, 0.05? 0.05 Which is the biggest value? (a) 1/3 (b) 0.3 (c) 4/13 a Which is the smallest value? (a) -3 (b) 9 (c) 14 (d) -4 d Which is the third biggest value? (a) -8/3 (b) -4 (c) -0.4 b What is the second biggest value in 1.7, -0.4, 99, 1? 1.7 Which is the fourth biggest value? (a) -5 (b) 0.107 (c) 2/7 (d) 0.5 a Which is the smallest value? (a) -3 (b) -1/2 (c) 2/3 (d) -0.13 a Which is the second biggest value? (a) 0.3 (b) 5 (c) -1.099 a Which is the third biggest value? (a) 4322 (b) -0.4 (c) 4 b Which is the fourth smallest value? (a) -5 (b) -4/5 (c) -0.193 (d) 1 d What is the biggest value in 2/3, -4, 62/71? 62/71 What is the third smallest value in 0, 1/3, 5, 2/7, -12/17? 2/7 What is the fourth biggest value in 2/9, 0.2, -149, -5? -149 Which is the second smallest value? (a) -2/3 (b) -19.3 (c) 0.03 a What is the second smallest value in -2/5, 2/5, 14, -43? -2/5 What is the second smallest value in -1, -0.01, -0.13? -0.13 What is the biggest value in -5, -1/8, 23.7? 23.7 Which is the second biggest value? (a) -0.3 (b) -0.4 (c) 0 (d) -2/9 (e) 0.2 c What is the smallest value in 0.05, -29, -0.4? -29 Which is the third biggest value? (a) 8 (b) -1.1 (c) -3/5 b Which is the third biggest value? (a) -2 (b) 3 (c) -1528 c Which is the third biggest value? (a) 7 (b) 1/8 (c) 1/106 c What is the third smallest value in 5, 7, 0.1, 14? 7 What is the third smallest value in 0, -31, -3/7? 0 What is the smallest value in -1/74, 1, -2/13, -0.3? -0.3 Which is the second biggest value? (a) 3 (b) -2/19 (c) 6 (d) 4/11 a Which is the third biggest value? (a) -3 (b) -51 (c) 5 b What is the second biggest value in -0.2, -94.5, -0.3? -0.3 What is the smallest value in 83/12, 5, 0.4, 2/3? 0.4 Which is the smallest value? (a) -2 (b) 148/5 (c) -4/5 a Which is the second biggest value? (a) 2 (b) -5 (c) 2/3 (d) -774 (e) -3/7 c What is the smallest value in -8, -17, 0.5? -17 Which is the fourth biggest value? (a) -3/2 (b) -1/35 (c) -0.2 (d) 9 a Which is the biggest value? (a) 0.9 (b) -0.2 (c) -1 (d) -1/3 (e) 0 a Which is the second biggest value? (a) 5/4 (b) 3 (c) -0.5 (d) -4/3 a Which is the biggest value? (a) 1/4 (b) 6 (c) -2 b What is the fourth smallest value in -1.43, -4/5, 3/8, 3/4, -4? 3/8 What is the biggest value in 0.1, -1/2, 6, 12? 12 Which is the third biggest value? (a) 0.4 (b) 0.5 (c) 0.16 c What is the biggest value in -4, 2/19, -19, -0.6? 2/19 Which is the fifth biggest value? (a) -1/22 (b) 0 (c) -2/7 (d) -0.2 (e) 4 c Which is the smallest value? (a) 0.5 (b) -3/127 (c) 0.2 b Which is the fourth biggest value? (a) 4/7 (b) -0.1 (c) -4/5 (d) 2/9 (e) 9 b Which is the second smallest value? (a) 4 (b) -215 (c) 5 a What is the second biggest value in 7, 1/10, -57.1? 1/10 What is the fourth smallest value in -0.3, -4/5, 4/5, -2.94, 0? 0 What is the second smallest value in 2/5, 5/4, 3? 5/4 What is the smallest value in -3, -0.3, 2/13, -13? -13 What is the third biggest value in 0, 12, -5? -5 Which is the smallest value? (a) -1/191 (b) 1/3 (c) -4 c What is the second smallest value in -0.3, 3, 1/3, -4? -0.3 What is the fourth smallest value in 5, -0.2, -4/7, 1/4, 1? 1 Which is the third biggest value? (a) -1.67 (b) -2 (c) 0.04 (d) -3 (e) 2/5 a What is the biggest value in 2/7, 2/3, 174? 174 What is the smallest value in -2, 2, 0.04? -2 Which is the second biggest value? (a) 5 (b) -1/16 (c) -2/3 (d) 1/9 d What is the biggest value in -0.2, 0, -17, -35? 0 Which is the smallest value? (a) 3 (b) 1/3 (c) 487/3 b What is the fourth smallest value in -1, 1/4, -0.3, 2.9? 2.9 Which is the fourth smallest value? (a) 1/18 (b) 0.3 (c) 5 (d) 3/4 c Which is the fourth biggest value? (a) -168 (b) 0.2 (c) 0.1 (d) -0.4 a Which is the third biggest value? (a) 0.06 (b) 1/3 (c) -4 c What is the fourth biggest value in 0, -2/7, -0.2, 2/3? -2/7 Which is the smallest value? (a) 5 (b) -1 (c) 3 (d) 0.3 b Which is the third smallest value? (a) -2/5 (b) -5 (c) -1 (d) 4 a What is the smallest value in -4, 1.07, 2? -4 Which is the third biggest value? (a) -3 (b) 4 (c) -0.5 (d) -0.27 c Which is the third smallest value? (a) -1/3 (b) 1 (c) 1.3 c Which is the second smallest value? (a) -13 (b) 0.25 (c) -5 c What is the biggest value in 2/15, 0.3, 166? 166 What is the third smallest value in 3/5, -96, -0.1, 0, -4? -0.1 What is the fourth smallest value in -4, 3, 3/7, 2/13?
{ "pile_set_name": "DM Mathematics" }
rms in 6*y**2 + 16*y**2 + 0*y + y - 5*y**2. 17*y**2 + y Collect the terms in 499*d**3 - 998*d**3 + 497*d**3. -2*d**3 Collect the terms in -7*b**3 - 12*b**3 + 11*b**3. -8*b**3 Collect the terms in -24*k + 19*k + 20*k - 16*k. -k Collect the terms in 15*s + 41*s + 1 - 3*s. 53*s + 1 Collect the terms in -3 + 37*r**3 + 1 + 2. 37*r**3 Collect the terms in 15*g**2 + 8*g**2 - 7*g**2. 16*g**2 Collect the terms in 6*k**3 - 4*k**3 - k**3. k**3 Collect the terms in 7 - 7*g - 11 + 4. -7*g Collect the terms in -10*y**2 + 12*y**2 - 23*y**2. -21*y**2 Collect the terms in -10*o**3 + 58*o**3 + 11*o**3. 59*o**3 Collect the terms in 5*n + 11*n - 13*n. 3*n Collect the terms in -3 + 0 + 3 - 1141*z**2. -1141*z**2 Collect the terms in 8 - 18 + 3 + 7 + 13*h. 13*h Collect the terms in -14*j**2 + 32*j**2 - 18*j**2 - 3*j**3. -3*j**3 Collect the terms in 425*v**2 + 9*v**2 - 63*v**2. 371*v**2 Collect the terms in -4*i + 10*i - 2 + 21*i. 27*i - 2 Collect the terms in 44*v - 3*v - 25*v - 24*v. -8*v Collect the terms in s + 81*s**3 - 3*s - 67*s**3. 14*s**3 - 2*s Collect the terms in 128*a**2 - 205*a**2 + 89*a**2. 12*a**2 Collect the terms in 8 - 8 - 124*u + 126*u. 2*u Collect the terms in 62*d - 121*d + 74*d. 15*d Collect the terms in 342 + 11*s**3 + s**3 - 342. 12*s**3 Collect the terms in -q**2 + 43*q - 43*q. -q**2 Collect the terms in -24*h**3 - 9*h**3 - 19*h**3 - 10*h**3. -62*h**3 Collect the terms in -3*g**2 + 2410*g - 2410*g. -3*g**2 Collect the terms in -d + d - 94*d**2 + 6*d**2. -88*d**2 Collect the terms in -266*i + 800*i - 263*i - 265*i. 6*i Collect the terms in 6*g**2 + 80*g**3 - 8*g**2 + 59*g**3 - 25*g**3. 114*g**3 - 2*g**2 Collect the terms in -15 + 29*h**3 + 15. 29*h**3 Collect the terms in 50*m**3 - 18*m**3 - 8*m**3 - 22*m**3. 2*m**3 Collect the terms in -239*c**2 - 14*c**2 + c + 2*c. -253*c**2 + 3*c Collect the terms in -247*r + 2 - 2. -247*r Collect the terms in 14*k + k + 9 + 1 - 7*k. 8*k + 10 Collect the terms in -5*c**3 - 3*c**3 + 2*c**3 + 1. -6*c**3 + 1 Collect the terms in 33*u**3 - 25*u + 3*u**3 + 25*u. 36*u**3 Collect the terms in -h - 28*h + 4*h + 15*h + 12*h. 2*h Collect the terms in -4*p**3 + 33*p**3 + 2*p**3. 31*p**3 Collect the terms in 2*q**2 + 74*q - 36*q - 37*q. 2*q**2 + q Collect the terms in 10*o + 28*o + 6*o + 12*o - 55*o. o Collect the terms in 4*z - 7*z - 3*z - 1 + 3. -6*z + 2 Collect the terms in 7*x**3 - 10*x**3 - 7*x**3. -10*x**3 Collect the terms in -6*y + 9*y - 76360*y**2 - 3*y + 76358*y**2. -2*y**2 Collect the terms in 26*k**2 + 37*k**2 + k**2 - 4*k**2 + 2. 60*k**2 + 2 Collect the terms in -34*w**2 + 13*w**2 + 8*w**2. -13*w**2 Collect the terms in 5 + q**2 + 8*q**2 - 1 - 4*q**2. 5*q**2 + 4 Collect the terms in 0 + 0 - 49*y + 42*y. -7*y Collect the terms in 0 - 48*j**3 + 2*j**3 + 0. -46*j**3 Collect the terms in -9*q**2 - 47*q**2 + 27*q**2 - 25*q**2. -54*q**2 Collect the terms in 84*b**3 + 111*b**3 - 184*b**3. 11*b**3 Collect the terms in 0*f**2 - 35*f + 10*f**2 + 35*f - 3*f**2. 7*f**2 Collect the terms in -6 + 5 + 1 + 6*h**3. 6*h**3 Collect the terms in -3*h + 8343 - 8343. -3*h Collect the terms in -37 - 5*v + 37. -5*v Collect the terms in 3*k**3 + 7*k**3 - 13*k**3 + 6*k**3. 3*k**3 Collect the terms in 4585 - 4585 + 4*g. 4*g Collect the terms in 175*x**2 - 357*x**2 + 197*x**2. 15*x**2 Collect the terms in 21*j**3 + 3*j**2 + 1 - 3*j**2. 21*j**3 + 1 Collect the terms in 5*f**3 - 3*f**3 - 2*f**3 - f**3. -f**3 Collect the terms in 2*k + 13*k**2 - 3*k + 0*k**2 + 3*k**2. 16*k**2 - k Collect the terms in 1021*u**3 - 343*u**3 - 343*u**3 - 336*u**3. -u**3 Collect the terms in -56*b + 1 + 47*b - 1. -9*b Collect the terms in k**2 + 3*k**2 - 10*k**2 + 5*k**2. -k**2 Collect the terms in -8*k**3 - 2 + 3 - 1. -8*k**3 Collect the terms in -5*t - 8*t + 23*t - 9*t - 2*t. -t Collect the terms in 3*c - 4*c - 16*c. -17*c Collect the terms in -4*w - 5*w + 0*w - 3*w + 13*w. w Collect the terms in 180*v**2 + 172*v**2 - 355*v**2. -3*v**2 Collect the terms in -27 + 19 + 8 - 2*y**2. -2*y**2 Collect the terms in 84*t + 75*t - 164*t. -5*t Collect the terms in 255 + 39*g - 517 + 262. 39*g Collect the terms in -37*q**2 - 142*q**2 + 174*q**2. -5*q**2 Collect the terms in m**2 + 27*m**2 - 16*m**2 + 25*m**2. 37*m**2 Collect the terms in 259*v - 1 + 1 - 524*v + 270*v. 5*v Collect the terms in -41*o**2 + 1 - 39*o**2 + 83*o**2 - 1. 3*o**2 Collect the terms in 2*z - 6*z + 12*z. 8*z Collect the terms in -1972*d**2 + 993*d**2 + 1003*d**2. 24*d**2 Collect the terms in 1 + 3 - 4 - 5*y**2. -5*y**2 Collect the terms in -h + h - 2*h**3 + 121*h**3. 119*h**3 Collect the terms in 0 - 56*c**2 + 0. -56*c**2 Collect the terms in 14*m**3 + 0 + 0 - 13*m**3. m**3 Collect the terms in -98*y**2 + 79*y**2 - 41*y**2. -60*y**2 Collect the terms in -43*o**3 - 31*o**3 + 46*o**3. -28*o**3 Collect the terms in -3 - 277*w + 3. -277*w Collect the terms in -60*q**3 + 95*q**3 - 36*q**3. -q**3 Collect the terms in 181*v**2 - 96*v**2 - 95*v**2. -10*v**2 Collect the terms in -6*t**3 + 45*t**3 - 5*t**3. 34*t**3 Collect the terms in 0 + 0 - 5*z**3 - 3*z**3 + 5*z**3. -3*z**3 Collect the terms in 2*z - 210 + 104 + 106. 2*z Collect the terms in -76 + 161 - 85 + 24*y**3 + 13*y**3. 37*y**3 Collect the terms in -69914 - 2*i + 69914. -2*i Collect the terms in h**3 - 8*h**3 + 6*h - 6*h. -7*h**3 Collect the terms in 2*k - 8*k + 3*k - 4*k. -7*k Collect the terms in -3 + 3 - 6768*t + 6781*t. 13*t Collect the terms in -65 - 89 + 2*g + 154. 2*g Collect the terms in -4 - 14*g**2 - g + 4. -14*g**2 - g Collect the terms in 0*l**3 - 4*l - 3*l + 2*l**3. 2*l**3 - 7*l Collect the terms in -10*o + 19*o - 15*o. -6*o Collect the terms in -75911*z + 75911*z + 8*z**3. 8*z**3 Collect the terms in -191*z**2 - 190*z**2 + 372*z**2. -9*z**2 Collect the terms in -62*a - 80*a + 5*a**2 + 4*a - 6*a**2. -a**2 - 138*a Collect the terms in -u**3 - 24174*u + 24174*u. -u**3 Collect the terms in 0*s + 2*s - 7*s + 3*s + 4*s. 2*s Collect the terms in -2103*x**2 + x**3 - 1250*x**2 + 0*x**3 - 170*x**2. x**3 - 3523*x**2 Collect the terms in 680 - 680 + r**2. r**2 Collect the terms in 574 - 574 - 3*h. -3*h Collect the terms in 6*p**2 + 4*p**2 - 12*p**2 + 4*p**2 + 0*p**2. 2*p**2 Collect the terms in -14*r**3 - 3*r**3 + 13*r**3. -4*r**3 Collect the terms in -443*y + 443*y - 2*y**2. -2*y**2 Collect the terms in 8*q**3 - 2*q + 4*q**3 + 2*q. 12*q**3 Collect the terms in 37*z + 30 - 30. 37*z Collect the terms in 7281*u**2 - 3650*u**2 - 3654*u**2. -23*u**2 Collect the terms in 382*o - 113*o - 114*o - 154*o. o Collect the terms in -44*a + 30*a + 15*a. a Collect the terms in 2*i**3 + 5*i**3 + i**3 - i**3. 7*i**3 Collect the terms in 9*m**3 - 3*m - 6*m**3 + 0*m + 8*m**3. 11*m**3 - 3*m Collect the terms in -2*p**3 + 4*p**3 - 3*p**3. -p**3 Collect the terms in 6*s - 138*s**2 - 3*s + 708*s**2. 570*s**2 + 3*s Collect the terms in 17*r**3 - r + r - 4*r**3. 13*r**3 Collect the terms in g + g - 18 + 20 + 62. 2*g + 64 Collect the terms in 7*u - 13*u + 2*u. -4*u Collect the terms in 58*o + 36*o - 16*o. 78*o Collect the terms in -1875*a**3 + 264*a**3 - 714*a**3. -2325*a**3 Collect the terms in -2*m**3 + 7*m**3 - m**3 + 6*m**3. 10*m**3 Collect the terms in 12*c - 4*c + 14*c. 22*c Collect the terms in -4*n**2 - 120*n**2 - 96*n**2. -220*n**2 Collect the terms in -633*u - 1 + 5 - 7. -633*u - 3 Collect the terms in 2 - 3*y**3 + 2*y**3 - 6 + 4. -y**3 Collect the terms in 2*x**2 - 3*x**2 - 210*x + 210*x. -x**2 Collect the terms in 2*m**2 + 7*m**2 + 3*m**2. 12*m**2 Collect the terms in 9*t - 4 - 11*t - 5*t. -7*t - 4 Collect the terms in 0*m**3 + 50 - 3*m**3 - 50. -3*m**3 Collect the terms in 0*m - 21*m**3 + 0*m + 20*m**3. -m**3 Collect the terms in -15*k**3 + 39*k**3 - 11*k**3 - 7*k**3. 6*k**3 Collect the terms in 7*u**3 - u + 24*u**3 + 2*u. 31*u**3 + u Collect the terms in -925 - 22*z**3 + 925. -22*z**3 Collect the terms in 81*x**3 - 47*x**3 - 36*x**3 - 123 + 123. -2*x**3 Collect the terms in -f - f - 9*f. -11*f Collect the terms in -40254 + 4*i**2 + 40254. 4*i**2 Collect the terms in 4*p**2 - 7 + 7 - 3*p**2 - 16*p. p**2 - 16*p Collect the terms in -16 + 16 - 12*q + 16*q. 4*q Collect the terms in -4 + 1 + 3 - 18*k**3. -18*k**3 Collect the terms in 0*b + 20 + 0*b - 20 + b. b Collect the terms in -1 - 10*n + 22*n + 1. 12*n Collect the terms in -4*c + 15*c + 32*c. 43*c Coll
{ "pile_set_name": "DM Mathematics" }
40, -53290, -93540? -5750*j**2 - 1540 What is the u'th term of -1115282063, -1115282062, -1115282061? u - 1115282064 What is the j'th term of 17, -46, -101, -148, -187, -218? 4*j**2 - 75*j + 88 What is the o'th term of 300879, 300895, 300915, 300939, 300967? 2*o**2 + 10*o + 300867 What is the k'th term of -14462538, -28925083, -43387628, -57850173? -14462545*k + 7 What is the i'th term of -113279, -423317, -940047, -1663469, -2593583? -103346*i**2 - 9933 What is the g'th term of -12999595, -51998386, -116996371, -207993550, -324989923? -12999597*g**2 + 2 What is the x'th term of 35842, 142994, 321580, 571606, 893078, 1286002, 1750384? x**3 + 35711*x**2 + 12*x + 118 What is the l'th term of 1255, 2893, 5617, 9427? 543*l**2 + 9*l + 703 What is the t'th term of 1425, 1523, 1901, 2733, 4193, 6455, 9693? 29*t**3 - 34*t**2 - 3*t + 1433 What is the k'th term of 116173, 115733, 115293? -440*k + 116613 What is the d'th term of -49709, -98888, -148067, -197246, -246425, -295604? -49179*d - 530 What is the k'th term of 138759, 138770, 138781, 138792? 11*k + 138748 What is the y'th term of 563124, 563117, 563110, 563103, 563096? -7*y + 563131 What is the h'th term of -2853, -13276, -23697, -34116, -44533, -54948, -65361? h**2 - 10426*h + 7572 What is the c'th term of -50032, -100049, -149998, -199843, -249548, -299077, -348394? 6*c**3 - 2*c**2 - 50053*c + 17 What is the z'th term of -3523, -14274, -32199, -57298, -89571, -129018? -3587*z**2 + 10*z + 54 What is the n'th term of 30127, 120517, 271167, 482077? 30130*n**2 - 3 What is the v'th term of 5715, 35734, 117209, 275868, 537439, 927650? 4288*v**3 + 3*v + 1424 What is the q'th term of -52170, -104401, -156690, -209043, -261466, -313965? -q**3 - 23*q**2 - 52155*q + 9 What is the v'th term of -4032944, -16131920, -36296880, -64527824, -100824752, -145187664? -4032992*v**2 + 48 What is the y'th term of 3706, 7202, 10700, 14200, 17702, 21206, 24712? y**2 + 3493*y + 212 What is the t'th term of 4207, 4232, 4259, 4288, 4319, 4352, 4387? t**2 + 22*t + 4184 What is the g'th term of 14225672, 14225805, 14225938, 14226071? 133*g + 14225539 What is the s'th term of -4986, -19394, -43218, -76458, -119114, -171186, -232674? -4708*s**2 - 284*s + 6 What is the s'th term of 11475, 25581, 39687, 53793? 14106*s - 2631 What is the u'th term of -8972, -18173, -27394, -36641, -45920, -55237, -64598? -u**3 - 4*u**2 - 9182*u + 215 What is the y'th term of 3633, 14904, 33815, 60372, 94581, 136448? y**3 + 3814*y**2 - 178*y - 4 What is the l'th term of -156441, -625276, -1406503, -2500122, -3906133, -5624536? -156196*l**2 - 247*l + 2 What is the b'th term of -9322, -8401, -6874, -4741? 303*b**2 + 12*b - 9637 What is the v'th term of 78807751, 78807748, 78807745, 78807742, 78807739, 78807736? -3*v + 78807754 What is the l'th term of 4057479, 4057445, 4057391, 4057317? -10*l**2 - 4*l + 4057493 What is the m'th term of 15368, 15417, 15466, 15515, 15564? 49*m + 15319 What is the o'th term of -2563, -3145, -3725, -4303? o**2 - 585*o - 1979 What is the s'th term of 42837, 171261, 385305, 684975, 1070277, 1541217, 2097801? s**3 + 42804*s**2 + 5*s + 27 What is the y'th term of -3019507, -6039012, -9058517, -12078022? -3019505*y - 2 What is the p'th term of -4177716, -4177722, -4177730, -4177740, -4177752, -4177766? -p**2 - 3*p - 4177712 What is the p'th term of -61079, -60906, -60623, -60236, -59751, -59174, -58511? -p**3 + 61*p**2 - 3*p - 61136 What is the f'th term of -4108, -4736, -5364? -628*f - 3480 What is the a'th term of 15038, 28188, 41336, 54482, 67626, 80768? -a**2 + 13153*a + 1886 What is the z'th term of 32773291, 32773286, 32773267, 32773228, 32773163? -z**3 - z**2 + 5*z + 32773288 What is the u'th term of -117177, -468723, -1054637, -1874919? -117184*u**2 + 6*u + 1 What is the a'th term of 1066839, 2133706, 3200573, 4267440? 1066867*a - 28 What is the a'th term of -1336362, -1336395, -1336432, -1336473, -1336518, -1336567, -1336620? -2*a**2 - 27*a - 1336333 What is the v'th term of 6941, 56077, 189623, 449783, 878761, 1518761? 7034*v**3 + v**2 - 105*v + 11 What is the s'th term of 1302, 3720, 6154, 8610, 11094, 13612, 16170? s**3 + 2*s**2 + 2405*s - 1106 What is the u'th term of -25397, -101397, -228033, -405299, -633189, -911697? u**3 - 25324*u**2 - 35*u - 39 What is the x'th term of -184232, -184321, -184410, -184499, -184588, -184677? -89*x - 184143 What is the b'th term of 10484411, 10484328, 10484189, 10483994, 10483743, 10483436, 10483073? -28*b**2 + b + 10484438 What is the o'th term of 4365004, 4364975, 4364946? -29*o + 4365033 What is the x'th term of -119137590, -119137591, -119137592? -x - 119137589 What is the n'th term of 9136, 18391, 27768, 37267, 46888, 56631, 66496? 61*n**2 + 9072*n + 3 What is the z'th term of 1581, 1479, 1377, 1269, 1149, 1011, 849, 657? -z**3 + 6*z**2 - 113*z + 1689 What is the o'th term of -8628949, -8628917, -8628859, -8628769, -8628641? o**3 + 7*o**2 + 4*o - 8628961 What is the v'th term of 1626338, 3252699, 4879060, 6505421, 8131782, 9758143? 1626361*v - 23 What is the x'th term of -173, -1172, -2815, -5096, -8009, -11548, -15707? x**3 - 328*x**2 - 22*x + 176 What is the f'th term of 21099, 42842, 65857, 90780, 118247? 106*f**3 + 21001*f - 8 What is the v'th term of -1698, -1542, -1384, -1224, -1062, -898? v**2 + 153*v - 1852 What is the x'th term of 360703, 720976, 1081249, 1441522? 360273*x + 430 What is the f'th term of 594944, 2379781, 5354512, 9519137, 14873656? 594947*f**2 - 4*f + 1 What is the x'th term of 2785, 3105, 3449, 3811, 4185, 4565, 4945, 5319? -x**3 + 18*x**2 + 273*x + 2495 What is the i'th term of 2603, 3740, 4899, 6086, 7307, 8568, 9875? i**3 + 5*i**2 + 1115*i + 1482 What is the u'th term of -182917, -182719, -182523, -182329? -u**2 + 201*u - 183117 What is the d'th term of 12763, 24974, 37181, 49390, 61607, 73838, 86089, 98366? d**3 - 8*d**2 + 12228*d + 542 What is the t'th term of 26069, 30158, 36975, 46520, 58793? 1364*t**2 - 3*t + 24708 What is the l'th term of -3032, -11892, -26632, -47252, -73752? -2940*l**2 - 40*l - 52 What is the x'th term of 459, 629, 885, 1221, 1631, 2109, 2649? -x**3 + 49*x**2 + 30*x + 381 What is the c'th term of 50, -927, -2390, -4345, -6798, -9755, -13222? -c**3 - 237*c**2 - 259*c + 547 What is the h'th term of 1495777, 1495659, 1495541, 1495423? -118*h + 1495895 What is the l'th term of 137123, 274259, 411405, 548561, 685727, 822903? 5*l**2 + 137121*l - 3 What is the v'th term of 166477, 333004, 499533, 666064? v**2 + 166524*v - 48 What is the z'th term of 38312, 48428, 58544, 68660? 10116*z + 28196 What is the t'th term of 20812478, 20812481, 20812484? 3*t + 20812475 What is the y'th term of 8664, 34884, 78658, 139986, 218868? 8777*y**2 - 111*y - 2 What is the r'th term of -3395468, -3395502, -3395550, -3395618, -3395712? -r**3 - r**2 - 24*r - 3395442 What is the r'th term of -71473, -71541, -71609, -71677, -71745? -68*r - 71405 What is the z'th term of 776, 457, -44, -817, -1952, -3539? -15*z**3 - z**2 - 211*z + 1003 What is the i'th term of 993592, 1987134, 2980676? 993542*i + 50 What is the i'th term of -8092, -15844, -23596, -31348, -39100? -7752*i - 340 What is the i'th term of -1098, -1971, -2714, -3327, -3810? 65*i**2 - 1068*i - 95 What is the d'th term of -14178, -28645, -43132, -57645, -72190, -86773? -d**3 - 4*d**2 - 14448*d + 275 What is the l'th term of 130076, 134212, 138348? 4136*l + 125940 What is the f'th term of -25701, -102741, -231107, -410781, -641745? 3*f**3 - 25681*f**2 - 18*f - 5 What is the f'th term of -33221, -33941, -35141, -36821? -240*f**2 - 32981 What is the j'th term of 31167, 35467, 42649, 52725, 65707? 2*j**3 + 1429*j**2 - j + 29737 What is the z'th term of 78514920, 78514922, 78514924? 2*z + 78514918 What is the o'th term of -4328, -3230, -1402, 1156, 4444, 8462? 365*o**2 + 3*o - 4696 What is the u'th term of 165827, 165813, 165799, 165785, 165771, 165757? -14*u + 165841 What is the w'th term of -216, -162, -176, -294, -552? -6*w**3 + 2*w**2 + 90*w - 302 What is the g'th term of 78, -1652, -5176, -10494, -17606? -897*g**2 + 961*g + 14 What is the p'th term of 695, -1231, -3159, -5089, -7021, -8955? -p**2 - 1923*p + 2619 What is the l'th term of -3225, -11222, -24551, -43212, -67205, -96530, -
{ "pile_set_name": "DM Mathematics" }
-33*d**2 Collect the terms in 32*i + 107*i + i. 140*i Collect the terms in -28 - 90*h**3 - 58*h**2 + 6*h**3 + 28. -84*h**3 - 58*h**2 Collect the terms in 20*p - 103*p + 83*p - 8*p**3. -8*p**3 Collect the terms in -5*y - 3*y**2 + 12*y + 4*y**2. y**2 + 7*y Collect the terms in 51*g + 11*g - 16*g - 5. 46*g - 5 Collect the terms in -6*t + 12*t + 2*t**3 - 5 - 2*t - t. 2*t**3 + 3*t - 5 Collect the terms in 40*j + 39*j - 5*j. 74*j Collect the terms in 7*w - 595921 + 595921. 7*w Collect the terms in 155*z - 68*z + 243*z - 6 + 107*z + 5. 437*z - 1 Collect the terms in 144*x - 65*x + 49*x + 3 - 89*x. 39*x + 3 Collect the terms in -9717*c**2 + 4686*c**2 + 5027*c**2. -4*c**2 Collect the terms in -14*m - 7*m**2 - 17*m + 31*m - 3*m**2. -10*m**2 Collect the terms in 185*o**2 - 185*o**2 - 96*o**3 - 15*o. -96*o**3 - 15*o Collect the terms in -3495*q**2 + 389 + 386 - 775. -3495*q**2 Collect the terms in 470*m + 260*m - 728*m. 2*m Collect the terms in 27*a**2 - 6*a**2 + 11*a - 11*a - 8*a**2. 13*a**2 Collect the terms in -573*l**2 + 2*l**3 - 548*l**2 + 1664*l**2 - 543*l**2. 2*l**3 Collect the terms in 2*m**2 + 19967648*m**3 - 2*m**2 - 19967649*m**3. -m**3 Collect the terms in -11*a + a - a**3 + 29*a**3. 28*a**3 - 10*a Collect the terms in -5*w**3 + 7*w - 8*w - 5*w**3. -10*w**3 - w Collect the terms in -w + 47996*w**2 + w - 47760*w**2. 236*w**2 Collect the terms in -175*s**3 + 86*s**3 + 85*s**3. -4*s**3 Collect the terms in -37*r**2 + r + 65*r**2 - 18*r**2 + r - 26*r**2. -16*r**2 + 2*r Collect the terms in -13*v**3 + 2*v**3 - v**3 - 42*v**2 - 39*v**2. -12*v**3 - 81*v**2 Collect the terms in -3*p**2 - 25580*p - 2 + 1 + 4*p**2. p**2 - 25580*p - 1 Collect the terms in -24 - 14*j + 3*j + 26 - 20*j - 29*j. -60*j + 2 Collect the terms in -4*o**3 + o**2 + 0*o**3 + 0*o**3 - 4*o**2 + 13*o**3. 9*o**3 - 3*o**2 Collect the terms in 2982*w**2 + w - 4*w + 7119*w**2. 10101*w**2 - 3*w Collect the terms in -95 + 2*d**3 + 10*d**3 + 48. 12*d**3 - 47 Collect the terms in 131 + 129 - 260 + 25*b + 3*b. 28*b Collect the terms in -129*c + 14*c + 32*c. -83*c Collect the terms in 5809*s**2 - 2581*s**2 + 5638*s**2 + 1820*s**2. 10686*s**2 Collect the terms in 11*p - 60*p + 10*p - 8*p**2 + 11*p + 28*p. -8*p**2 Collect the terms in -702*l**2 + 166*l**2 - 962*l + 1922*l - 960*l. -536*l**2 Collect the terms in 1738*r + 1738*r - 3492*r. -16*r Collect the terms in -3567 + 174*m - 175*m + 3567. -m Collect the terms in 30*l**2 - 43*l**2 + 12*l**2 + 23*l**2. 22*l**2 Collect the terms in -80*r - 66*r + 3 + 144*r. -2*r + 3 Collect the terms in 112 - 4*m**2 + 95 - 275 + 68. -4*m**2 Collect the terms in -777 - 791 + 8*p**3 - 807 + 2375. 8*p**3 Collect the terms in 64*c + 190 - 22*c - 43*c. -c + 190 Collect the terms in 0*w**2 + 2*w**2 - 3*w + 3*w - 18 - 8*w**3. -8*w**3 + 2*w**2 - 18 Collect the terms in -3 - 17*p + 50*p - 19*p - 9*p. 5*p - 3 Collect the terms in -91 + 675*k + 194 - 103. 675*k Collect the terms in -241*z - 228*z + 706*z - 242*z. -5*z Collect the terms in 45*m**2 - 3*m**2 - 34*m**2 - 6*m**2. 2*m**2 Collect the terms in 32 - 57 + 25 - 5865*o**3. -5865*o**3 Collect the terms in -53*x**3 + 39*x**3 + 69*x**3. 55*x**3 Collect the terms in -75504*g**3 + 0 + 75495*g**3 + 0. -9*g**3 Collect the terms in -2*x + 1071 - 4*x**2 + 5*x - 3*x. -4*x**2 + 1071 Collect the terms in 20803 + 2*v**2 - 20803. 2*v**2 Collect the terms in 0 - 22 + 6*b + 13 + 12. 6*b + 3 Collect the terms in -1003 + w**3 + 475 + 528. w**3 Collect the terms in -2 - 2005*s - 917*s + 381*s. -2541*s - 2 Collect the terms in 99*d + 77*d + 35*d. 211*d Collect the terms in 6282*v**3 - 12554*v**3 + 6277*v**3. 5*v**3 Collect the terms in 74*a**3 - 50*a**3 - 8*a**3 - 4*a**3 - 13*a**3. -a**3 Collect the terms in 1419*b**3 + 2*b + b**2 + 482 - 482. 1419*b**3 + b**2 + 2*b Collect the terms in 2*m**3 - 15*m**2 + 15*m**2 + 17*m**2 - 17*m**2. 2*m**3 Collect the terms in 4*z**2 + 156*z**2 - 53*z**2 + 104*z**2. 211*z**2 Collect the terms in 1696*f**3 + 78*f - 1678*f**3 - 160*f + 82*f. 18*f**3 Collect the terms in 227385*z - 227385*z - 7*z**2. -7*z**2 Collect the terms in 3*u - 5*u + 2 + 77*u**2 - 511*u**2. -434*u**2 - 2*u + 2 Collect the terms in -830*t + 165*t + 171*t + 163*t + 165*t + 165*t. -t Collect the terms in 2 - 1 + 90*i - 1 - 80*i. 10*i Collect the terms in 3 - 242*f - 48*f - 3. -290*f Collect the terms in -6 - q - 19*q - 11*q. -31*q - 6 Collect the terms in -563*a**2 - 452*a**2 + 1027*a**2. 12*a**2 Collect the terms in -2*w + 2174*w**2 + 2*w - 4355*w**2 + 2155*w**2. -26*w**2 Collect the terms in 904 - 424 + 12*u - 480. 12*u Collect the terms in 400 + 121 + 7*j**3 - 125 - 4*j**3. 3*j**3 + 396 Collect the terms in -90*k - 12*k - 23*k. -125*k Collect the terms in -72421 + 21*y + 72421. 21*y Collect the terms in -22828 - 5*b + 7607 + 25*b + 7606 + 7615. 20*b Collect the terms in 90 + l - 30 - 27 - 33. l Collect the terms in 268*a + 177*a + 3 - 1. 445*a + 2 Collect the terms in -7*f**2 + 10 + 24 + 2 - 8. -7*f**2 + 28 Collect the terms in -1017 + 36*m - 72*m - 425 + 38*m. 2*m - 1442 Collect the terms in 93 - 2*o**2 - 4*o**2 + 24 + 2*o**2. -4*o**2 + 117 Collect the terms in 0*z - 41 + 6 + 79 - 44 - 4*z. -4*z Collect the terms in -441*w**2 + 13*w**3 + 0*w**3 + 946*w**2 - 505*w**2. 13*w**3 Collect the terms in -4*r - 34*r + 17*r + r**3 + 17*r. r**3 - 4*r Collect the terms in 128*u - 36*u - 3*u**2 - 38*u. -3*u**2 + 54*u Collect the terms in -126 - 31*c + 3*c + 125. -28*c - 1 Collect the terms in 7*g - 12 - 7 + 14. 7*g - 5 Collect the terms in -13*c**3 - 40*c**3 - 25*c**3 + 8*c**3 - 6*c. -70*c**3 - 6*c Collect the terms in 9674*c**3 + 68*c**2 - 9664*c**3 - 68*c**2. 10*c**3 Collect the terms in 4 - 66*w - 4 + 135*w - 62*w. 7*w Collect the terms in 2857*u**2 + 3973*u - 3973*u. 2857*u**2 Collect the terms in 28*o**3 + 162*o**3 + 495*o**3 + 756*o**3. 1441*o**3 Collect the terms in 94*j**2 + 109*j**2 - 12 - 22 - 73*j**2. 130*j**2 - 34 Collect the terms in -44*a**2 + 4*a**2 + 9*a**2 + 8*a**2 + 15*a**2. -8*a**2 Collect the terms in 42073*i**3 - 42176*i**3 - 3*i + 3*i. -103*i**3 Collect the terms in 9*l - 31 - 34 + 9 + 56. 9*l Collect the terms in 422*i**3 - 673*i**3 + 307*i**3. 56*i**3 Collect the terms in 39*j**2 - 47*j**2 - 99*j**2 + 14*j**2 + 53*j**2. -40*j**2 Collect the terms in -22*f**3 + 22 + 50 + 29 + 23*f**3 - 1. f**3 + 100 Collect the terms in 16 + 13 + 3*u + 35 - 64. 3*u Collect the terms in 2*w**2 - 9 - 16 + 35 + 21 + 24. 2*w**2 + 55 Collect the terms in 2*q**3 + 2*q**3 - 189*q - 171*q + 338*q. 4*q**3 - 22*q Collect the terms in 230*y - 70*y - 80*y - 79*y. y Collect the terms in -515*l**3 + 1057*l**3 - 582*l**3. -40*l**3 Collect the terms in -987*d - 6*d**2 + 987*d. -6*d**2 Collect the terms in -558 + 0*v - v + 4*v - 158. 3*v - 716 Collect the terms in 14*u**2 - 3*u**3 - 16*u**2 - 2946451*u + 2*u**2 + 2946451*u. -3*u**3 Collect the terms in 13*z + 12*z + 7*z + 9*z + 11*z - 51*z. z Collect the terms in -2*a + 2*a - 6*a**3 + 12697*a**2 - 12697*a**2. -6*a**3 Collect the terms in 53*h**2 + 56*h**2 - 212*h**2 + 48*h**2 + 58*h**2. 3*h**2 Collect the terms in t - 3748355 - 2*t + 1874179 + 1874176. -t Collect the terms in 3239*q**3 - 4259*q**3 - 3*q + 3*q. -1020*q**3 Collect the terms in 5*a + 30163 - 15079 - 15084. 5*a Collect the terms in 9240*m - 220 + 220. 9240*m Collect the terms in 1 + 929713*p**2 - 1 - 929712*p**2. p**2 Collect the terms in 218*v + 8*v - 87*v. 139*v Collect the terms in 7*w - 3*w**3 - 9*w + 2*w - 5780 + 2*w**2. -3*w**3 + 2*w**2 - 5780 Collect the terms in -4190492 + 7*x + 4190492. 7*x Collect the terms in 84*z - 23*z - 24*z - 40*z. -3*z Collect the terms in -83*k + 484*k + 279*k + 158*k. 838*k Collect the terms in -173*l - 173*l + 870*l - 171*l - 5*l**2 - 180*l - 171*l. -5*l**2 + 2*l Collect the terms in -180*p**2 - 69*p**2 + 249*p**2 - 2*p**3. -2*p**3 Collect the terms in 23 + 6 + 8 - 40 - 88*w. -88*w - 3 Collect the terms in -55109866*x - 4*x**3 + 55109866*x. -4*x**3 Collect the terms in 20*w**2 - 26*w - 24*w - 73*w**2 - 5*w. -53*w**2 - 55*w Collect the terms in -339*c**3 + 661*c**3 - 346*c**3 - 3 + 3. -24*c**3 Collect the terms in 34 - 34 + 304*m - 684*m + 7*m. -373*m Collect the terms in 3 + 0 - 403*f**2 + 494*f**2 - 3. 91*f**2 Collect the terms in 11*m - 10*m - 10 - 13 + 8 + 5. m - 10 Collect the terms in 447100 - 220
{ "pile_set_name": "DM Mathematics" }
= 14387/11 - 1309. Which is smaller: -2 or r? -2 Let o = -10 - -2. Let w = 7.8 + o. Is w bigger than -2? True Suppose -5*c - z = -59, 2*c + 0*z = 5*z + 29. Suppose 5*l = 2*l - c. Which is smaller: -6 or l? -6 Suppose -a + 7 = 2*d + 2, 18 = 2*a + 2*d. Suppose 2*k - 3*x + a = 7*k, 4*k = -x + 9. Which is smaller: k or 3? k Let g be ((-12)/40)/(12/(-10)). Which is bigger: g or -0.22? g Let w = 6.9 + -10. Let h = w - -0.1. Let k = h - -2. Is 3/7 greater than or equal to k? True Let s = -34 - -51. Do 2/5 and s have the same value? False Let l(b) = b - 5. Let v be l(5). Is 0 at least v? True Let q be 43284/15*(-1)/8. Let v = q - -361. Suppose 4*j + 8 = 2*j, -5*j - 19 = s. Is v greater than s? False Let f = -2/687 - -1607/1374. Is 1 at most as big as f? True Let q = 117.1 - 117. Is q > 1/31? True Let p = -111 + 126. Which is bigger: p or 47/3? 47/3 Let j = -8 + -21. Is j greater than -0.1? False Suppose 3*o - 19 - 2 = 0. Suppose 4*m - 1 = o. Suppose 5*w = m*i + 2, i - 3*w + 1 = -0*w. Is i != -3? True Let c = 47 + -47. Is c equal to -1? False Let m = 10 - 11. Is m <= 3/13? True Let f(n) = 4*n**2 - n - 1. Let d = 7 + -8. Let x be f(d). Which is smaller: x or 1? 1 Let a(c) = -c**2 - 2*c + 2. Let s be a(3). Let h be 67/s + (-12)/(-78). Let x be (-1)/(-2) - 44/8. Is x not equal to h? False Let d = -15 - -106/7. Do d and 1 have the same value? False Let t = -767/8 - -96. Are t and -1 unequal? True Let i be ((-16)/6)/((-105)/9). Let x = i - 142/315. Suppose -y = -4*b + 11, 7 = -2*y - 2*b + 5*b. Which is greater: y or x? y Let v be (0/(-2))/(-1) - 0. Let s(q) = q + 9. Let i be s(-5). Suppose 0 = i*b + b. Is v > b? False Let i be 68/24 + (-1)/(-6). Let w = 3 - i. Suppose 3*h - 2*h - 3 = w. Is h at least as big as 4? False Suppose 7 = 9*h + 7. Let c be 3/18*9/12. Is h < c? True Suppose -5*y + 2*d = -9 + 1, -4 = -4*d. Suppose y*j - 12 = 4*t, 3*t + 2*j - 5 + 0 = 0. Which is bigger: 1 or t? 1 Suppose -g - 4 + 6 = 0. Let o = 106.1 - 114. Let v = -8 - o. Which is smaller: g or v? v Suppose -3*q = -2*y - 1 + 14, y + 1 = -q. Is -4 > q? False Let g = 489.03 - 489. Let f = 2 - 3. Is f greater than g? False Suppose 5*l - 7 = 13. Suppose -5 = -5*s, 4 = -l*x - s + 1. Is x not equal to -2/41? True Suppose 5*m - 134 = 4*u, -3*m + 5*u + 76 = 7*u. Let x be (-84)/m + (12 - 8). Is x greater than or equal to 0? True Let z be ((-13)/(-4))/(45/(-36)). Which is smaller: -2 or z? z Let a(l) = -l**2 - 7*l - 5. Let k be a(-6). Let q be -2*k + 1 + 0. Is 2/25 < q? False Suppose -z + 102 = 2*z. Suppose r + 5*v = 2*r - 12, -z = -5*r - v. Suppose -27 = -4*t - r. Do t and 5 have the same value? True Let y(k) = 5*k - 2*k + 3*k**2 + 5 + 0*k - k**3. Let g be y(4). Suppose 0 = 3*p - 8*p. Which is greater: g or p? g Suppose 0*d - d = 0. Let i = -33/13 + 133/78. Is d at most as big as i? False Let g = -0.9 - -0.77. Let v = -0.07 + g. Is v at most as big as -4? False Let l be 5/3 - 2/3. Suppose -3*t + 6*t = -21. Let w = 5 + t. Is l smaller than w? False Let g(t) = -5 - t + 1 - 2. Let k be g(-8). Do k and 2/3 have the same value? False Let y = 24 + -16. Let h = 10 - y. Is 2 <= h? True Let v be (-12)/(-21) + 236/(-168). Do v and 0 have the same value? False Let l = 1 - 4. Let y = 0 - l. Let p be 2 + -2 + 4/y. Which is smaller: p or 1? 1 Suppose 0 = 5*f - 5*b - 45, 4*f + 3*b - 20 - 51 = 0. Suppose -16*x = -f*x. Is 3/11 bigger than x? True Let z be 6/(3*2/4). Suppose -3*c - a + 12 = 0, 5*c + z*a = 3*a + 18. Suppose 15 = c*w + 2*w. Is w at most as big as 3? True Suppose i = 5, l + 0*l - 19 = -3*i. Suppose -3*h + l*h = -5. Is h at least -7/2? False Let b be 310/52 - 5 - 1. Which is smaller: -3 or b? -3 Suppose -2*c = 4*v - 16, 5*c - 4 + 0 = -v. Let l(r) = 2*r. Let j be l(1). Is v at least as big as j? True Let l be (-5)/(-7) + 7/(-21). Let s = -28033 - -6475577/231. Let t = s + l. Do -1 and t have different values? True Let s = -258 - -260. Let d(j) = -j**2 + 2*j + 1. Let w be d(3). Is w != s? True Let b be -1 + (0 + -2 - -3). Suppose b*l - 3*l = 0. Is l greater than -1? True Let n = -16.6 + 18. Let k = -1.4 + 1. Let q = n + k. Which is smaller: 2 or q? q Let d = -190 - -3041/16. Is d less than -1? False Suppose 4*y = 3*y + 4. Let s = -25/6 + 23/3. Is y > s? True Let v(s) = -2*s + 11. Let u be v(6). Which is smaller: u or -21? -21 Suppose 0 = -k + 7 + 16. Which is smaller: 24 or k? k Suppose -70*b = -71*b - 1. Is 1 <= b? False Let l be ((-394)/14)/((-8)/104). Let c = -367 + l. Is 0 > c? True Let m = 21 + 0. Let u be (-6)/14*m/(-30). Which is bigger: 0 or u? u Let u(g) = 15*g**2 + 9*g - 4. Let o(k) = 8*k**2 + 5*k - 2. Let m(s) = -11*o(s) + 6*u(s). Let v be m(-1). Is -3/11 smaller than v? True Suppose -3*m = -4*q - 2, q + 3*q - 2*m = -4. Let r = 4 + q. Suppose -r*k = k. Are k and 2/9 equal? False Let k = -659/42 - -104/7. Let z = -7 - -5. Which is greater: k or z? k Let m = -74 - -126. Let y be (-3)/((-48)/m) + -3. Is y at most as big as 1? True Let i = -0.5 - -0.38. Let r = -7.12 - i. Let u = 10 + r. Which is greater: u or -0.1? u Let f be ((-2)/(-30))/((-156)/72). Which is greater: 1 or f? 1 Let j(n) = -n**2 - 5*n. Let h be j(-7). Is h <= -14? True Let w(c) = -c - 13. Let b be w(-14). Which is smaller: b or -14? -14 Let m be (3 + 0)/6*(2 - 3). Which is bigger: m or 2/25? 2/25 Let f = 0 + 3. Suppose 0 = -4*s + f*q + 29, 0*s + 3*q = -s - 4. Which is greater: 6 or s? 6 Let f(g) = -2*g + 4. Let u be f(0). Let p be (-1 + (-3)/2)*-2. Suppose -3*v + p*b + 25 = 0, -4*b - 5 = u*v + 15. Is v at least -2/5? True Suppose 0 = -6*s + 4*s - 4. Let a be 322/(-8)*(2 - 3). Let d = -40 + a. Is s bigger than d? False Suppose y = 2*y + 5*u, 95 = -4*y - u. Is y > -27? True Let s(b) = -b**3 - 7*b**2 - 5*b + 8. Let k be s(-6). Suppose 4*i - i = k*u - 17, -5*u = 4*i + 38. Is -7 greater than or equal to i? True Let q = -0.19 - -16.19. Let i = -17 + q. Is 1/3 smaller than i? False Let t be 2 + 0 + -3 + 5. Suppose -416 - 480 = t*d. Let n = d + 2018/9. Does n = -1? False Let q be 2/(-9) + (-35)/45. Let l be q + (-2)/(2/(-3)). Suppose 0 = -z + 2, 3*y = -l*y - 4*z + 8. Is 0 less than or equal to y? True Let f(g) = -3*g - 15. Let m be f(-5). Which is smaller: m or -5/11? -5/11 Suppose -5*f + f = -44. Let g = f + -14. Is -20/9 != g? True Let d(t) = -t**3 - 8*t**2 - 11*t + 6. Let f be d(-6). Which is smaller: f or 1? f Let y = 21 + -14. Which is smaller: 5 or y? 5 Let u(w) = w**3 - w**2 - w. Let m be u(0). Suppose 2*r = 4*r. Is r >= m? True Suppose 3*u + 12 = 0, -2*m + 7 + 5 = -3*u. Which is greater: m or -1/22? m Let u = 23 - 16. Let o = u - 7. Let a = -1 + 3/2. Are a and o unequal? True Suppose 4*h - 28 = y, -3*h + 11 + 9 = -y. Let s = h - 7. Is 1 greater than or equal to s? True Let q = -5 - -3. Suppose 15 = -2*o - 3*o. Let i be 0 - ((-2)/1 - o). Are q and i equal? False Suppose -4*s - 1 + 17 = 0. Suppose -3*n + 3*q = -13 - 11, 5*q + 20 = 0. Do s and n have the same value? True Let g = -75 + 76. Which is bigger: 3/2 or g? 3/2 Let v(o) = o**3 - 13*o**2 + o - 11. Let i be v(13). Is 4 at least as big as i? True Let t be (-2)/((-4)/(-723)*3). Let h = -117 - t. Is 5 not equal to h? True Let f(s) = -31*s**3 + 2*s + 1. Let z be f(-1). Let r be (-3)/2*z/(-9). Do r and 7 have the same value? False Let u = -10 - 3. Let s be u/26*4/6. Which is smaller: -1 or s? -1 Let i = -12 - -11. Which is smaller: i or 0.2? i Suppose 6*s - 105 = -5*r + 3*s, 5*s + 29 = 3*r. Let n = r + -18. Which is bigger: 3/5 or n? 3/5 Let z be 30/24*(7 + 1). Let n = z + -10. Which is greater: n or 0.4? 0.4 Let x(z) = z**3 + 4*z**2 + 2*z - 7. Let u be x(-3). Are -4 and u equal? True Let l = -0.2 + 0.2. Let r be (-2*(-3)/(-96))/(1/6). Is r greater than or equal to l? False Suppose 0 = 4*u + x - 44, 7*x - 11*x = 4*u - 56. Which is smaller: 12 or u? u Suppose 2*u - 5*u = 0. Let a be 5*(6/10 + u). Suppose 0 = -5*v + 5, -3*v + 2 = 4*i - a*i. Is i < 1/13? True Let w = -8.5 + 8. Let i = w + 0.1. Is -1/4 not equal to i? True Let y be ((-264)/5225)/((-4)/290). Let j = 100/19 - y. Which is smaller: j or 3? j Suppose -19 = 5*v + 1. Is -3 at least v? True Suppose 2*g - 27 = -31. Which is smaller: g or -6/7? g Let l(i) = -i**3 - 3*i**2 + 3*i + 1. Let o be l(-3). Let q be (-4)/(-6)*(2 - 57/6). Let t = o - q. Are t and -4 non-equal? True Suppose -6*g - 170 = -g. Is -34 at most g? Tru
{ "pile_set_name": "DM Mathematics" }
picked without replacement from uneouuuv? 1/420 Calculate prob of sequence me when two letters picked without replacement from fomme. 1/10 Calculate prob of sequence aaia when four letters picked without replacement from {a: 7, i: 1}. 1/8 Calculate prob of sequence lctl when four letters picked without replacement from tdttttcdltlt. 7/5940 What is prob of sequence jww when three letters picked without replacement from {l: 3, j: 4, k: 1, w: 3}? 4/165 Four letters picked without replacement from odouux. Give prob of sequence oodx. 1/180 Three letters picked without replacement from vvvvvhvhhvvhvvvh. What is prob of sequence hhh? 1/56 What is prob of sequence xh when two letters picked without replacement from {e: 2, x: 7, h: 7}? 49/240 Two letters picked without replacement from yyyfnlbybffyfzb. What is prob of sequence yb? 1/14 Calculate prob of sequence tvbv when four letters picked without replacement from tbvvttttbbvvtttvbpp. 20/2907 Calculate prob of sequence gee when three letters picked without replacement from jegsggjggesggejggje. 6/323 Two letters picked without replacement from {d: 8, u: 3}. What is prob of sequence dd? 28/55 Three letters picked without replacement from {t: 7, s: 4, x: 2, f: 5}. What is prob of sequence fxt? 35/2448 Two letters picked without replacement from {b: 1, l: 2, t: 2, g: 1}. What is prob of sequence gl? 1/15 What is prob of sequence sc when two letters picked without replacement from cwsceskkckwec? 2/39 Calculate prob of sequence jc when two letters picked without replacement from {b: 1, j: 2, c: 2}. 1/5 Three letters picked without replacement from {i: 4, p: 3, r: 3, l: 1}. Give prob of sequence iil. 2/165 Three letters picked without replacement from {j: 6, f: 2}. Give prob of sequence jfj. 5/28 Calculate prob of sequence uuu when three letters picked without replacement from uvuvuqdvqdquvqvdnq. 1/204 Four letters picked without replacement from {r: 2, k: 2, o: 6, e: 9}. Give prob of sequence erke. 1/323 Calculate prob of sequence kzyq when four letters picked without replacement from qzkzykkkzqqyzyyyyqz. 5/969 Two letters picked without replacement from {r: 3, l: 6, v: 6, b: 1, q: 2, g: 2}. What is prob of sequence rr? 3/190 Calculate prob of sequence vhwe when four letters picked without replacement from {h: 2, n: 4, v: 2, e: 5, w: 4}. 1/714 Four letters picked without replacement from hloohmlssoom. What is prob of sequence lhml? 1/1485 Calculate prob of sequence ll when two letters picked without replacement from niiiyylniiyyylnnylll. 1/19 What is prob of sequence ejn when three letters picked without replacement from {n: 1, j: 5, b: 1, e: 1, t: 1}? 5/504 What is prob of sequence ild when three letters picked without replacement from ddldldddddlidl? 3/182 Calculate prob of sequence qpej when four letters picked without replacement from {e: 2, q: 1, p: 8, j: 4}. 8/4095 Calculate prob of sequence xxx when three letters picked without replacement from {x: 5, u: 3}. 5/28 Three letters picked without replacement from {g: 3, e: 2}. Give prob of sequence gge. 1/5 Calculate prob of sequence jr when two letters picked without replacement from jjlllrlllljrlllj. 1/30 Two letters picked without replacement from ohdgddgdogdggghdgg. What is prob of sequence dd? 5/51 Four letters picked without replacement from {n: 1, w: 7}. Give prob of sequence wwwn. 1/8 What is prob of sequence sso when three letters picked without replacement from {e: 4, s: 12, o: 4}? 22/285 Three letters picked without replacement from {s: 5, r: 5, d: 4}. What is prob of sequence ddd? 1/91 What is prob of sequence wuww when four letters picked without replacement from cuccwcccuwwcw? 2/715 Four letters picked without replacement from {z: 5, t: 8}. Give prob of sequence ttzt. 14/143 Four letters picked without replacement from {m: 4, f: 4, p: 2, r: 1, q: 8, a: 1}. What is prob of sequence rmpq? 8/14535 What is prob of sequence qq when two letters picked without replacement from {q: 8, z: 1, n: 2, g: 2}? 14/39 Two letters picked without replacement from bbgbbbggbbb. Give prob of sequence gb. 12/55 Four letters picked without replacement from {h: 7}. Give prob of sequence hhhh. 1 What is prob of sequence aj when two letters picked without replacement from {j: 2, x: 1, i: 2, a: 1, u: 1, m: 1}? 1/28 Calculate prob of sequence aa when two letters picked without replacement from {t: 9, a: 9}. 4/17 Four letters picked without replacement from qiiiqqiliqilqiqq. What is prob of sequence qqlq? 1/104 What is prob of sequence aaa when three letters picked without replacement from aaaeaaasseaeaaae? 3/14 Calculate prob of sequence bd when two letters picked without replacement from {f: 1, b: 1, m: 1, d: 3, y: 1}. 1/14 What is prob of sequence ams when three letters picked without replacement from mmaamasmsmmam? 14/429 Calculate prob of sequence ssfg when four letters picked without replacement from {a: 4, f: 3, b: 1, s: 4, g: 1}. 3/1430 Two letters picked without replacement from {k: 17, i: 2}. What is prob of sequence kk? 136/171 Three letters picked without replacement from {r: 1, s: 1, x: 2, z: 5, y: 1}. What is prob of sequence zxy? 1/72 Three letters picked without replacement from {a: 8, y: 5, k: 3, z: 1, f: 1, j: 2}. Give prob of sequence akz. 1/285 What is prob of sequence xwj when three letters picked without replacement from jnxxxxwsjixxxxn? 8/1365 What is prob of sequence uz when two letters picked without replacement from {r: 5, p: 1, z: 2, w: 1, y: 3, u: 1}? 1/78 Three letters picked without replacement from zazzaaa. Give prob of sequence aza. 6/35 Four letters picked without replacement from mxomxoodlmso. What is prob of sequence loxm? 1/495 What is prob of sequence dyw when three letters picked without replacement from {d: 2, p: 1, y: 2, w: 1, j: 1}? 2/105 Calculate prob of sequence hhhn when four letters picked without replacement from hhhhhhhhhnhhh. 1/13 What is prob of sequence euu when three letters picked without replacement from {k: 4, h: 1, e: 3, r: 1, u: 10}? 15/323 What is prob of sequence ip when two letters picked without replacement from {e: 1, c: 1, p: 2, i: 3, w: 6}? 1/26 Four letters picked without replacement from {w: 4, a: 7, h: 1, d: 3, r: 2}. What is prob of sequence ddda? 1/1360 Three letters picked without replacement from {p: 2, g: 3, r: 2, z: 6}. What is prob of sequence rpr? 1/429 Calculate prob of sequence dnn when three letters picked without replacement from {d: 4, n: 10}. 15/91 Calculate prob of sequence mym when three letters picked without replacement from {m: 2, y: 1}. 1/3 What is prob of sequence kmk when three letters picked without replacement from {t: 2, k: 3, m: 6, i: 6, e: 1}? 1/136 What is prob of sequence wh when two letters picked without replacement from {w: 1, h: 1, t: 1}? 1/6 Calculate prob of sequence ei when two letters picked without replacement from {i: 1, e: 5, v: 7}. 5/156 Calculate prob of sequence vmmm when four letters picked without replacement from vvmmm. 1/10 What is prob of sequence do when two letters picked without replacement from {d: 3, t: 1, z: 5, b: 1, o: 2, q: 1}? 1/26 Two letters picked without replacement from {t: 11, s: 1}. Give prob of sequence st. 1/12 Two letters picked without replacement from {k: 1, f: 2, t: 1, q: 1, a: 1, i: 1}. Give prob of sequence qk. 1/42 Three letters picked without replacement from wqwwwaa. Give prob of sequence qqa. 0 What is prob of sequence or when two letters picked without replacement from orrro? 3/10 Calculate prob of sequence dddd when four letters picked without replacement from dddiiidiidiiii. 5/1001 Four letters picked without replacement from mmmrmr. Give prob of sequence rmmr. 1/15 What is prob of sequence ttt when three letters picked without replacement from tttttttttt? 1 Calculate prob of sequence qp when two letters picked without replacement from zzqp. 1/12 Three letters picked without replacement from {x: 1, d: 2, u: 1, i: 4}. What is prob of sequence uid? 1/42 Three letters picked without replacement from {u: 3, i: 5, o: 3, b: 7, x: 1}. What is prob of sequence xbo? 7/1938 Calculate prob of sequence uu when two letters picked without replacement from {d: 1, u: 2, e: 2, m: 1}. 1/15 What is prob of sequence syvy when four letters pi
{ "pile_set_name": "DM Mathematics" }
decimal places. 0.0005 Let n = 520 + -520.119. What is n rounded to 1 dp? -0.1 Let q = 1473 + -1472.999994684. What is q rounded to seven decimal places? 0.0000053 Let c = -403 - -141. Let k = 505 + c. Round k to the nearest ten. 240 Let p = 7763.9990799 + -7764. What is p rounded to four decimal places? -0.0009 Suppose -4*h = j + 20, j = 5*h + 45 - 20. Suppose j = 5*q - 827 + 32. What is q rounded to the nearest 10? 160 Suppose -3*z - 5258248 = -24158260. Suppose 0 = -2*p - l - z, l + 4*l - 12599980 = 4*p. What is p rounded to the nearest one million? -3000000 Let g = 121 + -205. Let t = -83.9999995 - g. What is t rounded to six dps? 0.000001 Let f be (8/10)/(12/30). Let m be (5/f)/5*1325452. Let j = -1032726 + m. Round j to the nearest one hundred thousand. -400000 Let s = -113.1 + 123.44. What is s rounded to 0 decimal places? 10 Let j = 507.518 - 0.518. Let a = -506.99311 + j. What is a rounded to 3 decimal places? 0.007 Let q(p) = -p**3 - 2*p**2 + 2*p + 2. Let k be q(0). Suppose -k*i + 171897 = 587897. What is i rounded to the nearest 10000? -210000 Let v = 133605 + -82320. Suppose -3*q - 102591 = -2*m, 5*q + v = 2*m - m. What is m rounded to the nearest 10000? 50000 Let g be 0/(-3)*-1 + 84. Let x be (g/20 + -3)*-5. Let v be 68399996/x + 14/(-21). What is v rounded to the nearest one million? -11000000 Let w = 44.000173 - 44. Round w to four dps. 0.0002 Suppose -159 = -3*a - 1539. Round a to the nearest one hundred. -500 Let w = 40.2592364 - 40.26. Round w to four decimal places. -0.0008 Let d = 0.0598235 - -28.9401735. Let v = -29 + d. Round v to 6 decimal places. -0.000003 Let k = -2.068 - -1.77. Let t = k - -0.3. What is t rounded to 2 decimal places? 0 Let r(w) = -3864240*w + 3. Let n be r(-3). Suppose -b = -n + 1692723. Round b to the nearest one million. 10000000 Let d be (960/(-70))/(-1*(-1)/(-14)). Let u be d*1*(1885/10 + -1). What is u rounded to the nearest 10000? 40000 Suppose -2*q + v - 1066000 = 0, q + v + 190008 = -342992. Round q to the nearest one hundred thousand. -500000 Suppose -87 = 4*o - 375. Let y = 928 + o. What is y rounded to the nearest 10000? 0 Let c = -125 - 17. Let v = 53.5 + c. Round v to the nearest ten. -90 Let n = 1.49 + -1.4. Let v = n + -0.0900019. Round v to 6 decimal places. -0.000002 Let w = 42 + -29. Let i be 13/w*(4 + 0). Suppose 15 = -5*z, 3*c - i*z - 51600012 = 7*c. Round c to the nearest one million. -13000000 Let t(x) = -26*x - 1. Let c be t(-2). Suppose 0 = 5*n - d - 412 - 367, 2*n - 3*d = 309. Let o = n - c. Round o to the nearest 10. 110 Let g = 31244119.283779 - 31244282. Let n = -200.21639 - g. Let m = -37.5 - n. Round m to five dps. 0.00017 Let p = -155 - -103. Let y = p + 52.00000071. Round y to 7 decimal places. 0.0000007 Let w(n) = -122*n**2 - 13*n - 1. Let q = 1 + 13. Let p = q + -5. Let k be w(p). What is k rounded to the nearest 1000? -10000 Let s(n) = -n**2 + n - 1. Let c(y) = 7*y**3 - 3*y**2 - y - 5. Let g = 19 - 20. Let k(m) = g*c(m) + s(m). Let h be k(-3). What is h rounded to the nearest ten? 210 Let p = 3.49 - 3.429. Let b = 108851.1610057 + -108851.1. Let x = b - p. What is x rounded to six decimal places? 0.000006 Let u(d) = -d**2 - 2*d - 3. Let c(j) = j**3 - 5*j**2 - j + 2. Let s be c(5). Let b be u(s). Let t be (-4)/b*(3 + -18). What is t rounded to the nearest 10? -10 Let o = -300 + 180. Let g = -120.1008 - o. Let v = 0.1 + g. What is v rounded to three decimal places? -0.001 Let m = -236.000256 + 236. Round m to 4 dps. -0.0003 Let t = 3.83 - 3.8299749. What is t rounded to six dps? 0.000025 Let d = -233 - -232.551. Let b = d - 0.001. What is b rounded to 1 decimal place? -0.5 Let r = -87 + 88.54. Let c = 6.99 - r. Let t = c + -8.1. Round t to 1 decimal place. -2.7 Let u = 18 - 7. Let d = u - 11.033. What is d rounded to two dps? -0.03 Let w(i) = -9901*i + 10. Let f be ((-1)/3)/(15/(-450)). Let v be w(f). What is v rounded to the nearest 10000? -100000 Let r = 95847.534 + -95524. Let b = 282.38 - r. Let f = b - -41. What is f rounded to two dps? -0.15 Let u = -0.73 + 36.73. Let r = -39.1 + u. Let f = r - -2.948. What is f rounded to 2 decimal places? -0.15 Let l be -53102 - (-4 + -2 + 4). What is l rounded to the nearest 1000? -53000 Let b = -75.9172834487 - 0.0827159513. Let h = -76 - b. What is h rounded to 7 decimal places? -0.0000006 Let o = -0.0812 - -0.041. Round o to three decimal places. -0.04 Let p = -4.49 - 4.878. What is p rounded to the nearest integer? -9 Let u = 1.1464 + -6530.1464. Let h = u + 6523.414. Let v = h - -5.5. What is v rounded to two dps? -0.09 Let z = -50 - -498. Round z to the nearest 100. 400 Suppose c = w - 3, -5*c = -w - 2*c + 5. Suppose -3*a + 9 = -w*j, -1 = -a - 3*a - j. Let s be (69/(-6) - a)*-272. What is s rounded to the nearest 1000? 3000 Let q = -0.045 - 0.835. Let l = q + -34.12. Let k = 34.983 + l. Round k to 3 dps. -0.017 Let w(u) = 5*u**2 - 2*u - 8. Let l be w(6). Let s = -33 - -21. Let o be l/s*24/(-10). What is o rounded to the nearest 10? 30 Let k = 573 + -65. What is k rounded to the nearest 100? 500 Let m = 3379972.609553607497 + 8.090446892503. Let q = m + -3379979. Let y = -1.7 + q. What is y rounded to six dps? 0.000001 Suppose -42038 = -5*z + 4*c, -z - 2*c + 3*c + 8407 = 0. Round z to the nearest one thousand. 8000 Let h be 519/3*1*(-2 - -3). Let p = 29 + h. Round p to the nearest ten. 200 Let o = -0.1003 + 0.1002814. Round o to 6 decimal places. -0.000019 Suppose 3*w = 4*f - 138280003, 5*f + 4*w = -4922582 + 177772578. What is f rounded to the nearest 1000000? 35000000 Let f = 29575 - 17085. Round f to the nearest one hundred. 12500 Let u(j) = 10190*j - 6. Let q be u(4). Let r be 0/((-3)/3 - 4/4). Suppose -2*o + 55246 + q = r. Round o to the nearest ten thousand. 50000 Let d(v) = v**2 + 5*v + 9. Let l be d(-2). Suppose 4*x - 3*x + 3*c - 449997 = 0, -899997 = -2*x - l*c. Round x to the nearest ten thousand. 450000 Let f(h) = 2 - 2 + 4*h - 4 + 9917*h**2 + 3. Let k be f(11). What is k rounded to the nearest one million? 1000000 Let d = -140269.26412 - -140266. Let y = d - -2.667. Let m = 0.6 + y. Round m to four decimal places. 0.0029 Let t = -1754.9999999541 - -1755. Round t to seven decimal places. 0 Let p be ((-8020)/30 - (-2)/6) + -3. What is p rounded to the nearest 10? -270 Let i = 0.108 - 1.648. Let a = i - -1.1. Let b = a - -0.4399902. What is b rounded to six dps? -0.00001 Let y = -0.18 + 0.226. Let p = y - 10.646. Let b = -1.7 - p. Round b to the nearest integer. 9 Let p = 0.079208 - 0.0777. Round p to 4 dps. 0.0015 Let b be (-4)/7 - 114/21. Let m be (b - 3)/((-2)/(-22)). What is m rounded to the nearest ten? -100 Suppose 4*x - 16 = -2*c, -4*c = -6*c - 8. Suppose x*k + 3123 = -3*k. Round k to the nearest 10. -350 Let m be (-640503)/(-21) - 1/7. What is m rounded to the nearest one thousand? 31000 Let p = -37.07 + 36. Let u = -15.27 - p. Round u to the nearest integer. -14 Let c = -9.91 + 10. Let p = -0.0972 + c. Round p to 3 dps. -0.007 Let n = -4.9 - 0.1. Let j = 4.4 + n. Let l = j - -0.599925. Round l to 5 dps. -0.00008 Let x = 88.00201 - 88. What is x rounded to four decimal places? 0.002 Let p = -8.2 + -1.8. Let c = 29 + p. Let u = c - 19.0055. Round u to 3 dps. -0.006 Let t = 16184 + -23614. What is t rounded to the nearest 1000? -7000 Suppose q - c - 300 = 0, -5*q - c = -2*c - 1512. Suppose q = 3*l + 2343. What is l rounded to the nearest one hundred? -700 Let j(b) = -b**2 + 18*b + 27. Let u be j(19). Let v be (-60000)/(0 + u/(-28)). What is v rounded to the nearest 100000? 200000 Let x = -194636 - -73236. What is x rounded to the nearest 1000? -121000 Let f = 0.39 + -1.07. Let s = 0.6721 + f. What is s rounded to 3 decimal places? -0.008 Let x = 97775832095.7011092 - 102122260695.10110809. Let u = -4346428617 - x. Let c = u + 17.6. Round c to seven decimal places. -0.0000011 Let m = 45.8 + -45.8000258. What is m rounded to 5 dps? -0.00003 Let s = 1198.5 - 1198. Round s to 2 decimal places. 0.5 Let p(s) = -26431*s**3 + s**2 + s - 1. Let b be p(-4). Let i = b - 912860. Let f = 1228735 - i. What is f rounded to the nearest one hundred thousand? 500000 Let y(r) = 213264*r**2 + 4*r + 36. Let m be y(7). What is m rounded to the nearest 1000000? 10000000 Suppose 5*x = 10*x + 60. Let b = -7 - x. Suppose -2*h =
{ "pile_set_name": "DM Mathematics" }
term in -460342, -460343, -460344, -460345, -460346? -460347 What comes next: 1181215, 1181217, 1181221, 1181227, 1181235? 1181245 What comes next: -390, -43, 282, 579, 842, 1065? 1242 What is next in 153, 352, 573, 816, 1081, 1368? 1677 What comes next: -38460, -76922, -115384, -153846? -192308 What is next in -484, -1806, -3966, -6964, -10800, -15474, -20986? -27336 What is the next term in 1896, 3803, 5718, 7641, 9572? 11511 What is next in -2097, -2113, -2165, -2271, -2449? -2717 What comes next: 43014, 86026, 129038, 172050? 215062 What comes next: 21729, 21720, 21697, 21654, 21585, 21484, 21345? 21162 What comes next: -170321, -170315, -170297, -170261, -170201, -170111, -169985, -169817? -169601 What is the next term in -13248, -26392, -39536, -52680, -65824, -78968? -92112 What comes next: -319, -780, -1383, -2128, -3015, -4044? -5215 What is the next term in -1726297, -3452597, -5178897, -6905197? -8631497 What is the next term in 188, 347, 506? 665 What is the next term in -236, -324, -442, -590, -768, -976? -1214 What is next in 3, -24, -11, 96, 351, 808? 1521 What comes next: -1643, -6623, -14943, -26603? -41603 What is next in 211705, 423402, 635101, 846802, 1058505, 1270210? 1481917 What comes next: -2677, -2852, -3027, -3202, -3377, -3552? -3727 What comes next: 353, 572, 775, 956, 1109, 1228? 1307 What comes next: -146, -471, -964, -1625, -2454? -3451 What is next in -1564, -1322, -924, -370, 340, 1206? 2228 What comes next: -11724, -11719, -11712, -11703, -11692? -11679 What is next in 13, 65, 145, 253, 389, 553? 745 What is next in 679, 5575, 18979, 45181, 88471, 153139, 243475? 363769 What is next in 955273, 955272, 955271, 955270? 955269 What is next in 15236, 15452, 15666, 15878, 16088, 16296, 16502? 16706 What is the next term in -142864, -285720, -428576, -571432? -714288 What comes next: 1999, 3927, 5859, 7795, 9735, 11679, 13627? 15579 What is the next term in -306837, -306827, -306817, -306807? -306797 What is next in 28993, 28995, 28999, 29005, 29013, 29023? 29035 What is next in 9687, 9690, 9693, 9696? 9699 What comes next: -230, -409, -542, -629? -670 What is next in 13955, 13968, 13981, 13994, 14007? 14020 What is the next term in -45355, -45350, -45345, -45340, -45335? -45330 What is next in -325, -628, -931, -1234, -1537, -1840? -2143 What comes next: 416724, 833441, 1250158? 1666875 What is the next term in -49733, -49731, -49729? -49727 What is next in 2011, 8501, 19471, 34921, 54851? 79261 What is next in -18569, -18595, -18637, -18695, -18769? -18859 What comes next: -38135, -76314, -114481, -152630, -190755? -228850 What is the next term in 2092, 8138, 18216, 32326, 50468, 72642, 98848? 129086 What is the next term in 1690107, 3380213, 5070319, 6760425, 8450531? 10140637 What is next in -3437, -6873, -10311, -13751, -17193, -20637, -24083? -27531 What comes next: 61, 178, 323, 496, 697? 926 What is the next term in 53711, 53709, 53707, 53705, 53703? 53701 What is the next term in 277, 1267, 2917, 5227, 8197? 11827 What comes next: -804, -935, -1080, -1245, -1436, -1659? -1920 What is next in -6827, -6530, -6233, -5936? -5639 What is next in 16364, 32813, 49258, 65699, 82136, 98569? 114998 What is next in 5752, 5768, 5796, 5842, 5912, 6012, 6148, 6326? 6552 What is next in -92282, -184565, -276848? -369131 What comes next: 244, 252, 270, 304, 360, 444, 562, 720? 924 What is next in 130353, 130361, 130381, 130419, 130481, 130573? 130701 What comes next: 30147, 30152, 30161, 30174, 30191? 30212 What comes next: 1192, 2451, 3708, 4963, 6216? 7467 What is next in 11416, 22803, 34166, 45505? 56820 What is next in 650, 777, 986, 1277, 1650, 2105, 2642? 3261 What is the next term in 720, 726, 734, 744, 756, 770? 786 What is the next term in -104162, -208331, -312502, -416675, -520850, -625027, -729206? -833387 What is the next term in 20157173, 20157174, 20157175, 20157176, 20157177? 20157178 What is the next term in -4476, -3676, -2864, -2034, -1180, -296, 624? 1586 What is next in 205, 299, 393, 487, 581? 675 What is the next term in -37, 479, 1351, 2585, 4187, 6163? 8519 What comes next: 376, 293, 210, 127, 44, -39? -122 What is next in -22495, -45027, -67559, -90091, -112623, -135155? -157687 What is next in -1472, -2916, -4368, -5834, -7320? -8832 What is next in -279438, -558883, -838328? -1117773 What comes next: -1289, -5028, -11267, -20006, -31245? -44984 What comes next: 679, 653, 591, 493, 359? 189 What is the next term in 372411, 744811, 1117211, 1489611, 1862011? 2234411 What comes next: 216763, 216780, 216797? 216814 What comes next: 1367, 1389, 1439, 1523, 1647, 1817, 2039, 2319? 2663 What comes next: -358, -781, -1492, -2491, -3778, -5353, -7216? -9367 What is next in -206, -308, -466, -680, -950, -1276, -1658? -2096 What is next in 459, 596, 751, 930, 1139? 1384 What is next in 348, 622, 1078, 1716, 2536, 3538? 4722 What is next in 2483, 4962, 7443, 9926? 12411 What is the next term in -99, -436, -1009, -1824, -2887, -4204? -5781 What comes next: 184755, 369515, 554275, 739035, 923795? 1108555 What comes next: -1201, -2396, -3599, -4816, -6053, -7316, -8611? -9944 What is next in -5090, -20376, -45852, -81518, -127374, -183420, -249656? -326082 What is the next term in 518, 1030, 1540, 2048, 2554? 3058 What comes next: 162, 399, 742, 1149, 1578, 1987? 2334 What is next in -13, -588, -1541, -2872, -4581, -6668? -9133 What is next in 1626, 3160, 4694, 6228? 7762 What comes next: 165, 362, 555, 744? 929 What is next in -101789, -203579, -305369? -407159 What is the next term in -98, -106, -112, -110, -94, -58, 4? 98 What is next in -1551, -1570, -1591, -1614, -1639? -1666 What is next in 856, 3495, 7918, 14125? 22116 What is next in -962, -2003, -3044? -4085 What is next in 992, 1036, 1080, 1124, 1168? 1212 What comes next: -344, -1405, -3186, -5687, -8908? -12849 What is the next term in 410, -497, -1402, -2305, -3206? -4105 What comes next: -22, -49, -96, -163? -250 What is the next term in -14494, -14499, -14504? -14509 What is next in -28098, -28116, -28152, -28212, -28302? -28428 What comes next: 23523, 23523, 23521, 23517, 23511, 23503, 23493? 23481 What is the next term in 4793, 9620, 14481, 19382, 24329, 29328? 34385 What comes next: 133, 732, 1723, 3100, 4857, 6988? 9487 What is the next term in 31, -256, -547, -842, -1141? -1444 What comes next: 26119, 26121, 26125, 26131? 26139 What is next in -40, -244, -820, -1954, -3832, -6640? -10564 What is next in 1316, 2650, 4006, 5390, 6808, 8266, 9770, 11326? 12940 What comes next: -22072, -44174, -66274, -88372? -110468 What is the next term in -1704, -3404, -5114, -6840, -8588, -10364? -12174 What comes next: -70, 174, 802, 2006, 3978? 6910 What is the next term in -2857, -4835, -6815, -8797, -10781, -12767, -14755? -16745 What is the next term in -38464, -153851, -346154, -615367, -961484? -1384499 What comes next: -266, -2283, -7758, -18419, -35994? -62211 What is the next term in 20, 151, 308, 491, 700, 935, 1196? 1483 What is the next term in 2260, 4456, 6578, 8608, 10528, 12320, 13966, 15448? 16748 What is next in 15092, 15061, 15028, 14993, 14956, 14917, 14876? 14833 What is the next term in -1267, -1595, -1917, -2233, -2543, -2847? -3145 What is next in 703, 1296, 1885, 2470? 3051 What is the next term in -3935, -3921, -3899, -3869, -3831? -3785 What comes next: -339, -392, -441, -486, -527, -564, -597? -626 What is the next term in -85424, -85429, -85434, -85439, -85444, -85449? -85454 What is next in 52316, 52318, 52320? 52322 What comes next: 16, 112, 266, 472, 724, 1016? 1342 What is the next term in -163, -106, -1, 152, 353, 602? 899 What comes next: 1195, 1305, 1489, 1747, 2079? 2485 What comes next: 533, 1040, 1545, 2048, 2549? 3048 What is the next term in -12629, -12631, -12633, -12635, -12637, -12639? -12641 What comes next: -1488, -2901, -4312, -5721, -7128, -8533, -9936? -11337 What is next in 286, 1281, 2940, 5263, 8250? 11901 What is the next term in 40, -115, -378, -749, -1228, -1815, -2510? -3313 What comes next: -136043, -136041, -136039, -136037? -136035 What is next in -673, -707, -741, -775, -809, -843? -877 What is next in -21100, -84401, -189902, -337603, -527504? -759605 What is the next term in -230, -265, -33
{ "pile_set_name": "DM Mathematics" }
actors of 65294? 2, 32647 What are the prime factors of 100310? 2, 5, 7, 1433 What are the prime factors of 13798? 2, 6899 List the prime factors of 12239. 12239 What are the prime factors of 19104? 2, 3, 199 List the prime factors of 881. 881 What are the prime factors of 44259? 3, 14753 What are the prime factors of 41566? 2, 7, 2969 What are the prime factors of 920? 2, 5, 23 What are the prime factors of 22069? 29, 761 List the prime factors of 2904. 2, 3, 11 List the prime factors of 2234. 2, 1117 List the prime factors of 10392. 2, 3, 433 List the prime factors of 3159. 3, 13 List the prime factors of 7113. 3, 2371 List the prime factors of 7960. 2, 5, 199 What are the prime factors of 1674? 2, 3, 31 List the prime factors of 2574. 2, 3, 11, 13 What are the prime factors of 402? 2, 3, 67 List the prime factors of 624. 2, 3, 13 What are the prime factors of 23518? 2, 11, 1069 List the prime factors of 1009. 1009 List the prime factors of 91614. 2, 3, 15269 List the prime factors of 41761. 41761 What are the prime factors of 46924? 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2, 3, 101 What are the prime factors of 1114? 2, 557 List the prime factors of 8000. 2, 5 What are the prime factors of 75768? 2, 3, 7, 11, 41 List the prime factors of 1538. 2, 769 List the prime factors of 1728. 2, 3 What are the prime factors of 50135? 5, 37, 271 What are the prime factors of 9026? 2, 4513 List the prime factors of 30715. 5, 6143 List the prime factors of 240. 2, 3, 5 What are the prime factors of 16082? 2, 11, 17, 43 What are the prime factors of 50945? 5, 23, 443 What are the prime factors of 4908? 2, 3, 409 List the prime factors of 349. 349 List the prime factors of 560. 2, 5, 7 What are the prime factors of 25181? 13, 149 List the prime factors of 2935. 5, 587 What are the prime factors of 534? 2, 3, 89 What are the prime factors of 1121? 19, 59 What are the prime factors of 94? 2, 47 List the prime factors of 6910. 2, 5, 691 List the prime factors of 3830. 2, 5, 383 What are the prime factors of 3123? 3, 347 What are the prime factors of 52334? 2, 137, 191 What are the prime factors of 5922? 2, 3, 7, 47 List the prime factors of 19749. 3, 29, 227 What are the prime factors of 2494? 2, 29, 43 What are the prime factors of 1155? 3, 5, 7, 11 What are the prime factors of 1873? 1873 What are the prime factors of 101891? 101891 What are the prime factors of 11848? 2, 1481 What are the prime factors of 2508? 2, 3, 11, 19 List the prime factors of 9707. 17, 571 What are the prime factors of 654? 2, 3, 109 What are the prime factors of 29359? 11, 17, 157 List the prime factors of 1395. 3, 5, 31 What are the prime factors of 401? 401 What are the prime factors of 471? 3, 157 What are the prime factors of 7822? 2, 3911 What are the prime factors of 188214? 2, 3, 13, 19, 127 List the prime factors of 29037. 3, 9679 What are the prime factors of 97518? 2, 3, 16253 List the prime factors of 308. 2, 7, 11 List the prime factors of 3754. 2, 1877 List the prime factors of 15745. 5, 47, 67 List the prime factors of 32309. 32309 List the prime factors of 1375. 5, 11 What are the prime factors of 17081? 19, 29, 31 What are the prime factors of 4872? 2, 3, 7, 29 What are the prime factors of 21340? 2, 5, 11, 97 What are the prime factors of 26364? 2, 3, 13 List the prime factors of 38177. 38177 What are the prime factors of 64554? 2, 3, 7, 29, 53 List the prime factors of 7104. 2, 3, 37 List the prime factors of 431. 431 List the prime factors of 10605. 3, 5, 7, 101 List the prime factors of 3174. 2, 3, 23 What are the prime factors of 6194? 2, 19, 163 List the prime factors of 1244. 2, 311 List the prime factors of 1658. 2, 829 List the prime factors of 4243. 4243 List the prime factors of 3181. 3181 What are the prime factors of 1779? 3, 593 List the prime factors of 30201. 3, 10067 What are the prime factors of 3859? 17, 227 What are the prime factors of 967? 967 List the prime factors of 522. 2, 3, 29 What are the prime factors of 648? 2, 3 List the prime factors of 4610. 2, 5, 461 What are the prime factors of 137? 137 List the prime factors of 5244. 2, 3, 19, 23 List the prime factors of 2262. 2, 3, 13, 29 List the prime factors of 23364. 2, 3, 11, 59 What are the prime factors of 6671? 7, 953 What are the prime factors of 3692? 2, 13, 71 What are the prime factors of 78391? 277, 283 List the prime factors of 33965. 5, 6793 List the prime factors of 8314. 2, 4157 List the prime factors of 31983. 3, 7, 1523 List the prime factors of 485. 5, 97 List the prime factors of 1036. 2, 7, 37 What are the prime factors of 13964? 2, 3491 List the prime factors of 28519. 19, 79 What are the prime factors of 1124? 2, 281 List the prime factors of 2661. 3, 887 List the prime factors of 4412. 2, 1103 List the prime factors of 5832. 2, 3 List the prime factors of 26662. 2, 13331 What are the prime factors of 7990? 2, 5, 17, 47 What are the prime factors of 19531? 19531 List the prime factors of 43139. 179, 241 List the prime factors of 196927. 196927 List the prime factors of 105958. 2, 31, 1709 What are the prime factors of 32521? 17, 1913 List the prime factors of 20999. 11, 23, 83 List the prime factors of 18213. 3, 13, 467 What are the prime factors of 23772? 2, 3, 7, 283 What are the prime factors of 2582? 2, 1291 What are the prime factors of 332? 2, 83 What are the prime factors of 34811? 7, 4973 What are the prime factors of 17056? 2, 13, 41 What are the prime factors of 10? 2, 5 List the prime factors of 2060. 2, 5, 103 What are the prime factors of 2187? 3 List the prime factors of 23950. 2, 5, 479 What are the prime factors of 1910? 2, 5, 191 List the prime factors of 1721. 1721 List the prime factors of 1140. 2, 3, 5, 19 What are the prime factors of 1989? 3, 13, 17 What are the prime factors of 32698? 2, 16349 What are the prime factors of 7878? 2, 3, 13, 101 What are the prime factors of 107? 107 What are the prime factors of 36600? 2, 3, 5, 61 List the prime factors of 75453. 3, 7, 3593 List the prime factors of 13164. 2, 3, 1097 What are the prime factors of 1002? 2, 3, 167 List the prime factors of 12877. 79, 163 List the prime factors of 19272. 2, 3, 11, 73 What are the prime factors of 6243? 3, 2081 What are the prime factors of 11516? 2, 2879 What are the prime factors of 538? 2, 269 What are the prime factors of 6367? 6367 What are the prime factors of 4796? 2, 11, 109 What are the prime factors of 7194? 2, 3, 11, 109 List the prime factors of 339. 3, 113 List the prime factors of 10740. 2, 3, 5, 179 What are the prime factors of 1819? 17, 107 What are the prime factors of 5944? 2, 743 List the prime factors of 68168. 2, 8521 List the prime factors of 65114. 2, 7, 4651 What are the prime factors of 7709? 13, 593 What are the prime factors of 7011? 3, 19, 41 List the prime factors of 56406. 2, 3, 7, 17, 79 List the prime factors of 8048. 2, 503 What are the prime factors of 2274? 2, 3, 379 What are the prime factors of 42? 2, 3, 7 List the prime factors of 17349. 3, 5783 List the prime factors of 3512. 2, 439 What are the prime factors of 997? 997 What are the prime factors of 20999? 11, 23, 83 List the prime factors of 39834. 2, 3, 2213 What are the prime factors of 26571? 3, 17, 521 What a
{ "pile_set_name": "DM Mathematics" }
nteger? 231 What is 2099 to the power of 1/3, to the nearest integer? 13 What is the third root of 2581 to the nearest integer? 14 What is 46688 to the power of 1/2, to the nearest integer? 216 What is 4314 to the power of 1/2, to the nearest integer? 66 What is the square root of 979 to the nearest integer? 31 What is the cube root of 363 to the nearest integer? 7 What is 1998 to the power of 1/3, to the nearest integer? 13 What is 2912 to the power of 1/2, to the nearest integer? 54 What is 18841 to the power of 1/7, to the nearest integer? 4 What is the third root of 358 to the nearest integer? 7 What is the third root of 15995 to the nearest integer? 25 What is the fourth root of 3601 to the nearest integer? 8 What is the square root of 3392 to the nearest integer? 58 What is the third root of 1306 to the nearest integer? 11 What is 5161 to the power of 1/2, to the nearest integer? 72 What is the square root of 5296 to the nearest integer? 73 What is the third root of 2553 to the nearest integer? 14 What is 1027 to the power of 1/10, to the nearest integer? 2 What is 531 to the power of 1/3, to the nearest integer? 8 What is the third root of 3516 to the nearest integer? 15 What is the cube root of 5960 to the nearest integer? 18 What is the square root of 352 to the nearest integer? 19 What is the fourth root of 2378 to the nearest integer? 7 What is 8792 to the power of 1/3, to the nearest integer? 21 What is 8344 to the power of 1/3, to the nearest integer? 20 What is the fifth root of 76999 to the nearest integer? 9 What is 1058 to the power of 1/6, to the nearest integer? 3 What is 61083 to the power of 1/3, to the nearest integer? 39 What is the cube root of 87954 to the nearest integer? 44 What is 1039 to the power of 1/2, to the nearest integer? 32 What is the cube root of 12986 to the nearest integer? 24 What is the cube root of 1445 to the nearest integer? 11 What is the cube root of 307 to the nearest integer? 7 What is the cube root of 6111 to the nearest integer? 18 What is 14143 to the power of 1/2, to the nearest integer? 119 What is the square root of 676 to the nearest integer? 26 What is the square root of 2101 to the nearest integer? 46 What is 5039 to the power of 1/4, to the nearest integer? 8 What is the square root of 5342 to the nearest integer? 73 What is the square root of 19340 to the nearest integer? 139 What is 25616 to the power of 1/2, to the nearest integer? 160 What is 9838 to the power of 1/2, to the nearest integer? 99 What is the sixth root of 12321 to the nearest integer? 5 What is the square root of 65 to the nearest integer? 8 What is 29292 to the power of 1/3, to the nearest integer? 31 What is 6811 to the power of 1/10, to the nearest integer? 2 What is the square root of 175369 to the nearest integer? 419 What is the third root of 2409 to the nearest integer? 13 What is the third root of 55509 to the nearest integer? 38 What is 24 to the power of 1/10, to the nearest integer? 1 What is 445 to the power of 1/8, to the nearest integer? 2 What is the square root of 106867 to the nearest integer? 327 What is the fifth root of 5707 to the nearest integer? 6 What is the square root of 6792 to the nearest integer? 82 What is 1691 to the power of 1/7, to the nearest integer? 3 What is the cube root of 1010 to the nearest integer? 10 What is the sixth root of 26350 to the nearest integer? 5 What is 2491 to the power of 1/6, to the nearest integer? 4 What is 45211 to the power of 1/10, to the nearest integer? 3 What is the square root of 71758 to the nearest integer? 268 What is the ninth root of 9568 to the nearest integer? 3 What is 2455 to the power of 1/2, to the nearest integer? 50 What is the square root of 6979 to the nearest integer? 84 What is 6705 to the power of 1/10, to the nearest integer? 2 What is the sixth root of 119 to the nearest integer? 2 What is the square root of 3984 to the nearest integer? 63 What is the square root of 10614 to the nearest integer? 103 What is 606 to the power of 1/10, to the nearest integer? 2 What is the fifth root of 19346 to the nearest integer? 7 What is 2964 to the power of 1/2, to the nearest integer? 54 What is the square root of 1285 to the nearest integer? 36 What is the fifth root of 93268 to the nearest integer? 10 What is 30830 to the power of 1/8, to the nearest integer? 4 What is the fourth root of 22755 to the nearest integer? 12 What is the eighth root of 1015 to the nearest integer? 2 What is 553 to the power of 1/3, to the nearest integer? 8 What is 5674 to the power of 1/3, to the nearest integer? 18 What is the third root of 12710 to the nearest integer? 23 What is the cube root of 52805 to the nearest integer? 38 What is the sixth root of 632 to the nearest integer? 3 What is 65019 to the power of 1/7, to the nearest integer? 5 What is 935 to the power of 1/8, to the nearest integer? 2 What is the square root of 479 to the nearest integer? 22 What is the cube root of 1993 to the nearest integer? 13 What is the square root of 15501 to the nearest integer? 125 What is the tenth root of 1223 to the nearest integer? 2 What is 3978 to the power of 1/2, to the nearest integer? 63 What is the square root of 434 to the nearest integer? 21 What is the square root of 48265 to the nearest integer? 220 What is 4925 to the power of 1/9, to the nearest integer? 3 What is 2314 to the power of 1/2, to the nearest integer? 48 What is 44309 to the power of 1/10, to the nearest integer? 3 What is the fourth root of 29553 to the nearest integer? 13 What is 3764 to the power of 1/10, to the nearest integer? 2 What is 31639 to the power of 1/2, to the nearest integer? 178 What is 5840 to the power of 1/2, to the nearest integer? 76 What is the cube root of 18953 to the nearest integer? 27 What is 846 to the power of 1/2, to the nearest integer? 29 What is the square root of 2268 to the nearest integer? 48 What is the tenth root of 18543 to the nearest integer? 3 What is 378 to the power of 1/9, to the nearest integer? 2 What is 1973 to the power of 1/3, to the nearest integer? 13 What is the square root of 4949 to the nearest integer? 70 What is 21037 to the power of 1/10, to the nearest integer? 3 What is the third root of 754 to the nearest integer? 9 What is the square root of 626 to the nearest integer? 25 What is 8091 to the power of 1/2, to the nearest integer? 90 What is 1497 to the power of 1/2, to the nearest integer? 39 What is 321 to the power of 1/2, to the nearest integer? 18 What is the cube root of 45593 to the nearest integer? 36 What is the tenth root of 97 to the nearest integer? 2 What is 1194 to the power of 1/2, to the nearest integer? 35 What is the third root of 5961 to the nearest integer? 18 What is 159 to the power of 1/3, to the nearest integer? 5 What is the square root of 46081 to the nearest integer? 215 What is the square root of 23570 to the nearest integer? 154 What is 11875 to the power of 1/2, to the nearest integer? 109 What is the square root of 1588 to the nearest integer? 40 What is 27692 to the power of 1/2, to the nearest integer? 166 What is 3849 to the power of 1/3, to the nearest integer? 16 What is the cube root of 422 to the nearest integer? 8 What is 1648 to the power of 1/7, to the nearest integer? 3 What is 48614 to the power of 1/6, to the nearest integer? 6 What is the square root of 3161 to the nearest integer? 56 What is the cube root of 29309 to the nearest integer? 31 What is 69907 to the power of 1/3, to the nearest integer? 41 What is 2595 to the power of 1/7, to the nearest integer? 3 What is 999 to the power of 1/5, to the nearest integer? 4 What is 1795 to the power of 1/7, to the nearest integer? 3 What is the ninth root of 20373 to the nearest integer? 3 What is 597 to the power of 1/9, to the nearest integer? 2 What is 33312 to the power of 1/5, to the nearest integer? 8 What is the tenth root of 411 to the nearest integer? 2 What is the square root of 549 to the nearest integer? 23 What is 633 to the power of 1/3, to the nearest integer? 9 What is 3532 to the power of 1/10, to the nearest integer? 2 What is 16575 to the power of 1/2, to the nearest integer? 129 What is the cube root of 4997 to the n
{ "pile_set_name": "DM Mathematics" }
f 11 and x? 1 Let w(m) = -m**2 + m + 5. Let s be w(0). Let o be -5 + 1 - (0 + s + -30). Calculate the highest common factor of o and 273. 21 Let p(f) = -7*f + 12. Suppose 3*q + 2 + 7 = 0. Let i be p(q). Calculate the greatest common divisor of 3 and i. 3 Let x(v) = -v**2 - 25*v - 95. Let p be x(-5). What is the greatest common divisor of 6 and p? 1 Let j be (-6)/10 + 1363/5 + -8. What is the highest common factor of 33 and j? 33 Let y(u) = -2*u - 8. Let x be y(-13). Let k = -3 + 7. Suppose -k*h - 9 = -5*h. Calculate the highest common factor of x and h. 9 Suppose 2*v = -8*v + 2240. Calculate the greatest common divisor of 32 and v. 32 Let y(v) = v**3 + 3*v**2 - v - 3. Let r be y(-3). Let g = 2 + r. Suppose 0 = u + 5*j - 4 + 5, -3*u - g*j = -23. What is the highest common factor of u and 36? 9 Let d = 0 + -28. Let w be (-708)/d + 2/(-7). Calculate the highest common divisor of w and 10. 5 Let h(f) = -f**3 + 11*f**2 - 26*f. Let m be h(5). What is the greatest common divisor of 50 and m? 10 Suppose -5*l + 187 = -178. What is the greatest common divisor of l and 803? 73 Suppose -4*t - 3*p = -16, -3*p = t - p - 4. Let q(b) = -b**3 - 21*b**2 - 23*b - 32. Let z be q(-20). Calculate the highest common divisor of z and t. 4 Suppose 3*l + 65 + 62 = 5*x, 2*l = -x + 15. Let m = x - 63. Let c be m/3*9/(-4). What is the greatest common divisor of c and 20? 10 Let v be (2*1)/((-2)/(-16)). Let c(r) = -2*r**2 + 85*r - 318. Let h be c(38). What is the highest common factor of v and h? 8 Let z(k) be the first derivative of k**4/4 + 14*k**3/3 + 15*k**2/2 + 31*k + 1. Let s be z(-13). Calculate the highest common factor of s and 20. 5 Let o = 117 + -89. Calculate the greatest common divisor of 12 and o. 4 Suppose -a + 3*j = 7, 3*a + 4*j - 51 = -20. Calculate the greatest common divisor of a and 45. 5 Suppose -42*f + 36000 = -17*f. Calculate the highest common divisor of f and 10. 10 Let n(t) = t - 15. Let q be n(15). Suppose 128 = 4*v - q*v. Suppose 7*h - 2045 = 419. What is the greatest common factor of h and v? 32 Let n(o) = 16*o - 158. Let c be n(18). Let a = -60 + 86. What is the highest common factor of c and a? 26 Suppose -442*i = -464*i + 22. What is the highest common factor of 49 and i? 1 Let v be -1 - 21*(-152)/24. Calculate the highest common divisor of v and 99. 33 Let m(c) = c**3 + c**2 - c + 9. Let b(l) = 3*l**2 + 36*l. Let k be b(-12). Let u be m(k). Calculate the greatest common factor of u and 9. 9 Let f(s) = -2*s**2 + 14*s + 2. Let t be f(6). Let d = 58 + t. Calculate the greatest common divisor of d and 8. 8 Let z = -37 + 49. Let w = 32 - z. Let n be (-6 + 5)/((-2)/400). Calculate the greatest common divisor of w and n. 20 Suppose -2156 = 8*j - 5692. Calculate the greatest common divisor of j and 26. 26 Suppose 7 = c - 1. Let f(w) = -16*w - 319. Let a be f(-20). Calculate the greatest common factor of c and a. 1 Let n(a) = -23*a**3 + 4*a**2 + 3*a - 8. Let s be n(2). Let z = s - -431. What is the highest common factor of z and 29? 29 Let f(r) = r**2 + 6*r - 12. Let p be f(-8). Suppose 3 = -i + 4. Calculate the greatest common factor of i and p. 1 Let y(t) = -196*t - 10. Let c be y(-3). What is the highest common divisor of c and 34? 34 Let p be 1 + -1 + -11 - -1. Let t(x) = -12*x - 2*x - 28*x**2 + 15*x**2 + 12*x**2 - 12. Let n be t(p). Calculate the greatest common factor of 196 and n. 28 Let n be (168/(-1))/(-23 + 21). What is the greatest common factor of 60 and n? 12 Suppose -n = -o + 1, -o - 4*n + 21 - 5 = 0. Suppose 3*h - 33 = 3*t, -o*h - 4*t = -6*t - 52. Suppose i - 2 = 1. Calculate the highest common divisor of i and h. 3 Suppose -14*l + 39 = -17. What is the highest common factor of 2 and l? 2 Let q be 4/4*(2 - 0). Suppose 0 = -4*f + q*f. Suppose -4*d + 3*o + 217 = f, 5*o + 9 = -d + 46. What is the highest common divisor of d and 130? 26 Let u(m) = m**2 - 7*m + 4. Let g be u(5). Let o be 2/g - (-147)/9. Suppose 0 = -30*p + 14*p + 2048. Calculate the highest common factor of o and p. 16 Let g be 3/6 - (-114)/12. Let h = 41 - 21. Let s = h - g. Calculate the greatest common factor of 80 and s. 10 Suppose -5 = -2*h - 0*h + 5*q, -30 = 4*h - 2*q. Let c be (5/h)/((-1)/8). Calculate the greatest common factor of c and 16. 4 Let i(a) = 86*a**3 + 5*a**2 - a. Let n(u) = -85*u**3 - 6*u**2 + u. Let k(h) = 4*i(h) + 3*n(h). Let w be k(1). Calculate the greatest common factor of w and 18. 18 Let f be 1 + -1 + 36 + 1. Suppose 47 = -4*v - f. Let y be (v/(-14))/(2/24). What is the greatest common divisor of 12 and y? 6 Let m(x) = 32*x**2 + 23*x - 215. Let q be m(9). Calculate the highest common divisor of q and 136. 136 Let d = 6 - 1. Let f(r) = r + 10. Let s be f(-6). Suppose 0 = x + 4*m - 10, 2*x - s*m = -2*x + 40. What is the highest common divisor of d and x? 5 Suppose 11*n = -2*s + 15*n + 264, s - 139 = -5*n. What is the highest common factor of s and 871? 67 Suppose -5*f - 20 + 150 = 0. Let c = f + -16. What is the highest common factor of 70 and c? 10 Suppose 0 = 6*k + 24 - 138. Let m be (-4 - -1 - 30)*1. Let y = 62 - m. Calculate the greatest common divisor of k and y. 19 Suppose -22 + 6 = -2*b. Suppose -5*l - 298 = 242. Let d be (l/(-8))/(6/b). Calculate the greatest common factor of 144 and d. 18 Suppose -b - 12 = -2*z, 5*b = -13 + 3. Suppose 0 = -v - 2*v - 2*m - z, 4*v + 4 = -4*m. Let c be v + 2 + -2 + 7. What is the highest common divisor of 16 and c? 4 Let x be (-9)/(-3 + 2 - -2). Let k = x + 14. Let m(l) = -l**2 + 12*l + 1. Let r be m(12). Calculate the highest common divisor of k and r. 1 Suppose 5*w - 3*f - 27 = 0, 7 = -3*w - 4*f - 0. Let p be (-1)/w*(7 - 10). What is the greatest common factor of p and 3? 1 Let x = 347 + -251. What is the greatest common divisor of 36 and x? 12 Suppose -2*x = 5*w - 19, -4*x + 103 = -0*w - 3*w. Let c = 29 - x. What is the greatest common divisor of 49 and c? 7 Suppose -3*n = 2*n + 3*r + 20, 14 = n - 3*r. Let q be 39 - ((-3 - -1) + n). Calculate the greatest common divisor of q and 420. 42 Let c = -15 - -21. Let l be 2*(0 + 7 + 0). Let k = l - 10. What is the highest common divisor of k and c? 2 Let v(q) = -q**3 - q**2 + q - 1. Let c(h) = 7*h**3 - 5*h + 4. Let f(d) = c(d) + 6*v(d). Let p be f(6). Calculate the greatest common factor of p and 8. 4 Suppose -3*q = 0, -4*l - 4*q + 3 + 69 = 0. Let o = 26 + -110. Let g = -78 - o. Calculate the highest common divisor of l and g. 6 Suppose d - 324 = -2*f + 6*f, 0 = -5*f + 4*d - 416. Let n = f + 84. Calculate the highest common divisor of 12 and n. 4 Let k be ((-12)/(6 - 4))/(22/(-33)). Suppose -4*t + r + r + 136 = 0, 0 = -4*t + 5*r + 124. Calculate the greatest common divisor of t and k. 9 Let p be (-31)/62 + (51/2 - 1). Let i = 84 + -60. What is the highest common divisor of p and i? 24 Let s be 35/(-21)*(-6)/1. Let i = 0 + s. Calculate the highest common factor of i and 50. 10 Let z be (-1)/(3/(-2)) - 4/6. Let o be (-12 - z)/(3/(-3)). Calculate the greatest common factor of o and 4. 4 Let s(g) = 4*g - 23. Let v be s(9). Let a(q) = q**2 - 7*q + 15. Let x be a(v). What is the greatest common divisor of x and 31? 31 Let g be (-454)/(-18) - (70/(-45))/(-7). Let q be 24/(3/5 + 10/g). What is the greatest common factor of 96 and q? 24 Let k be -2 - 4*(-3)/6. Suppose k = -c + 77 - 35. What is the highest common factor of c and 21? 21 Let u = -55 + 221. Suppose -4*v + 535 = -3*s, 3*v + s - 245 - u = 0. Suppose -2*i + 37 - 3 = 0. What is the greatest common factor of v and i? 17 Let l be 116/(-16) - -7 - 290/(-8). Calculate the greatest common divisor of l and 846. 18 Suppose -13*w - 15 = -12*w. Let p = w - -27. What is the greatest common divisor of 108 and p? 12 Let x be 0/(-2) - -3 - -4. Let u be ((-2)/4)/((-6)/612) - 2. What is the greatest common divisor of u and x? 7 Suppose -9*r + 248 + 481 = 0. Calculate the greatest common factor of r and 9. 9 Let m(y) = -4*y + 2. Let c(o) = 12*o - 6. Let b(w) = -3*c(w) - 8*m(w). Let z be b(-6). What is the greatest common divisor of z and 182? 26 Suppose 49 = -5*q - 21. Let s = -5 - q. Suppose -s = -0*u - u. Calculate the highest common divisor of u and 1. 1 Suppose -79*k + 73*k + 1914 = 0. Calculate the greatest common divisor of 29 and k. 29 Let a = -261 + 320. Calculate the greatest common divisor of 177 and a. 59 Let b =
{ "pile_set_name": "DM Mathematics" }
Calculate 172 divided by 17420. 43/4355 What is -1129 divided by -640? 1129/640 Divide 6328686 by 346. 18291 What is 1 divided by 108050146? 1/108050146 -87827652 divided by -513612 171 Calculate 488488 divided by -2684. -182 Divide -10452827 by -34727. 301 What is 85462953 divided by -3? -28487651 Divide -215038368 by -3982192. 54 5 divided by 5758159 5/5758159 248 divided by -58748 -62/14687 Calculate 55078832 divided by -2. -27539416 Divide 37087 by -1411. -37087/1411 Calculate 4 divided by 21942561. 4/21942561 What is -66985752 divided by 16746438? -4 -668431549 divided by -1 668431549 Divide 249571896 by 6. 41595316 What is 673628 divided by 230? 336814/115 Divide 3 by 1301981. 3/1301981 What is -1122657088 divided by 19664? -57092 What is -20684664 divided by 264? -78351 Calculate -1113 divided by 1950. -371/650 Divide 230476542 by 6. 38412757 -1519940 divided by 7 -1519940/7 -94794124 divided by -23698531 4 What is 12755 divided by -769? -12755/769 Divide 973375 by 325. 2995 -2025504 divided by -13 155808 What is 211484226 divided by 6? 35247371 Calculate 91335288 divided by -4763. -19176 Calculate 0 divided by -36306325. 0 What is 1 divided by -27020618? -1/27020618 1459430 divided by -313 -1459430/313 What is -4917 divided by -519? 1639/173 2300150 divided by -135 -460030/27 What is -117884894 divided by -2? 58942447 300 divided by 3067996 75/766999 What is -232 divided by -714449? 232/714449 What is -12 divided by -141427? 12/141427 72718086 divided by -14 -5194149 What is 10566100 divided by 3925? 2692 Divide -8798508 by -2932836. 3 Divide -291702389 by -2. 291702389/2 Calculate 23252412 divided by -5813103. -4 Calculate -1647 divided by 49338. -183/5482 -331570 divided by 39 -331570/39 What is -9525047 divided by 1? -9525047 Calculate 6077 divided by -9671. -6077/9671 -138372 divided by -27 46124/9 Calculate 223731864 divided by -2. -111865932 Calculate -3157623 divided by -3. 1052541 -21288 divided by -18492 1774/1541 What is -15519516 divided by -6? 2586586 Divide -5045 by 1120. -1009/224 What is -653892 divided by 39? -217964/13 What is 74344580 divided by -743? -100060 Divide -7986817 by 5. -7986817/5 What is 16 divided by -5059016? -2/632377 What is -1132556 divided by -2? 566278 What is -370 divided by 438933? -370/438933 What is 53427183 divided by -2322921? -23 Divide -15268044 by -6. 2544674 What is -240559880 divided by 30715? -7832 -2703 divided by 2225 -2703/2225 238774050 divided by -6 -39795675 70009452 divided by 2166 32322 -4065000 divided by -31 4065000/31 What is 10 divided by -508443? -10/508443 Divide 4520521 by -1. -4520521 Calculate -65969245 divided by -1. 65969245 Divide -48886500 by 299. -163500 What is -32277796 divided by -8069449? 4 Calculate 896273440 divided by -1. -896273440 What is -8284466 divided by -86? 96331 What is 419543522 divided by -11040619? -38 What is -533 divided by 38153? -533/38153 23213 divided by 110 23213/110 Divide -465284 by 586. -794 Calculate -548038434 divided by 1. -548038434 What is -49987754 divided by 2? -24993877 -6078728 divided by -4 1519682 -60006688 divided by -7500836 8 What is -5911321 divided by 949? -6229 What is 827638 divided by 24? 413819/12 5269110 divided by -1 -5269110 What is -11162520 divided by 558126? -20 Calculate -542168 divided by -507. 542168/507 What is 138917922 divided by 12628902? 11 What is -627629 divided by -6? 627629/6 What is 104827919 divided by 1? 104827919 What is 31497248 divided by -8? -3937156 2806963025 divided by -4 -2806963025/4 What is -42183936 divided by -96? 439416 Divide 1991418 by 1266. 1573 140988450 divided by -6 -23498075 Divide 3 by -17934223. -3/17934223 Calculate 33116 divided by 1307. 33116/1307 What is 94629 divided by -27? -31543/9 Divide 5936 by 5676. 1484/1419 Calculate -28342140 divided by 5668428. -5 What is -17718837 divided by 3? -5906279 8836107 divided by 3 2945369 Divide -18319 by 3039. -18319/3039 -152038 divided by 1123 -152038/1123 Calculate -52000058 divided by -4727278. 11 What is -212025944 divided by -3482? 60892 -273854 divided by 4 -136927/2 What is -16164121 divided by 5? -16164121/5 Calculate 364498788 divided by -178. -2047746 Divide -1079921466 by 3. -359973822 What is -32564 divided by 1266? -16282/633 What is 1 divided by 18243056? 1/18243056 Calculate -226 divided by 212387. -226/212387 Divide 3065 by 10766. 3065/10766 18746640 divided by -264 -71010 86860904 divided by 180584 481 6 divided by 1516815 2/505605 Calculate 382186653 divided by -2109. -181217 Divide -943106 by 22. -471553/11 Calculate 64252105 divided by 5. 12850421 What is -14 divided by -2490993? 14/2490993 Divide 158696 by -3. -158696/3 -243782 divided by 68 -121891/34 What is 270557516 divided by 2626772? 103 Calculate -70169528 divided by -5. 70169528/5 Calculate 2488838 divided by 42911. 58 84583 divided by 850 84583/850 Divide 158 by 27239. 158/27239 Calculate 12615447 divided by 13. 970419 What is -108251 divided by -3847? 108251/3847 226043950 divided by 209 1081550 What is 14029 divided by -1655? -14029/1655 -117305198 divided by 23 -5100226 -32684 divided by -815 32684/815 What is -9365737 divided by 89? -105233 What is -54221117 divided by -150197? 361 Calculate 2322 divided by -3384. -129/188 Divide 10510029 by -3. -3503343 243889151 divided by -7 -243889151/7 Divide -4 by -1506251. 4/1506251 What is -4444 divided by 27691? -4444/27691 Calculate -96250 divided by 4. -48125/2 8839589 divided by 1187 7447 Divide -31315518 by 1439. -21762 -3518939 divided by -20 3518939/20 What is 7522900 divided by 770? 9770 What is 90126088 divided by 1? 90126088 Calculate -4 divided by -65333299. 4/65333299 -7 divided by 72358114 -7/72358114 Calculate 296281940 divided by 59256388. 5 Divide 623 by -327902. -623/327902 What is -24243736 divided by -31? 782056 2513376 divided by 864 2909 What is -349830 divided by 23322? -15 What is 258473 divided by -52? -258473/52 What is -2181915 divided by 216? -242435/24 Divide -8917860 by 17. -524580 -36211689 divided by -3639 9951 Divide 21067720 by 295. 71416 Divide 25897519 by -6. -25897519/6 191554176 divided by -898 -213312 Divide 146824928 by 523. 280736 -401950 divided by 24 -200975/12 Divide 3 by 5542764. 1/1847588 227508 divided by -389 -227508/389 Calculate -1 divided by -2384797. 1/2384797 Calculate -140536560 divided by 8. -17567070 Divide 1968 by -839. -1968/839 Calculate 91334133 divided by 2. 91334133/2 Calculate -1724514 divided by -87. 19822 -17740899 divided by -363 48873 Calculate -2939 divided by 17571. -2939/17571 Calculate 5 divided by 10285002. 5/10285002 125553132 divided by -6975174 -18 37015012 divided by -6 -18507506/3 Calculate 66454070 divided by -13290814. -5 Divide 6044860 by -92. -65705 What is -1467169869 divided by 27609? -53141 Calculate -21421872 divided by -297526. 72 5044818 divided by -4 -2522409/2 12842800 divided by 200 64214 What is -20 divided by 29360623? -20/29360623 What is -2206360 divided by -6? 1103180/3 -365697 divided by 38 -365697/38 -1049763 divided by -193 1049763/193 Divide -224948610 by 4. -112474305/2 5 divided by -125781533 -5/125781533 Divide 123210144 by -32. -3850317 Divide -1710823016 by -560558. 3052 460584852 divided by -281 -1639092 Divide 116128 by 7258. 16 Calculate -1269967 divided by -725. 1269967/725 -38862474 divided by 826 -47049 What is 3332 divided by -1732? -833/433 Calculate -2 divided by 14417356. -1/7208678 Divide 8 by 2194852. 2/548713 5 divided by -29967970 -1/5993594 Calculate -26860802 divided by 2. -13430401 Calculate 11 divided by -543215. -11/543215 Calculate -61 divided by -55254. 61/55254 What is -58197319 divided by -89123? 653 Calculate -1647480 divided by -340. 82374/17 120083789 divided by -33703 -3563 -3796213 divided by -19 3796213/19 What is -727 divided by 14810? -727/14810 517296 divided by 24 21554 Divide 7544368 by 1886092. 4 -1206659 divided by 6 -1206659/6 Divide 124 by 124931. 124/124931 Divide 3408405 by 231. 14755 Divide -93094365 by 379977. -245 Divide -164318648 by -104. 1579987 What is -471 divided by 9196? -471/9196 -23809833 divided by -14097 1689 Calculate 458000 divided by -5725. -80 Divide -444137208 by -2. 222068604 84696924 divided by 102 830362 Calculate -788178370 divided by 3. -
{ "pile_set_name": "DM Mathematics" }
es after 4:56 PM? 4:28 AM How many minutes are there between 5:48 AM and 8:34 AM? 166 How many minutes are there between 1:46 AM and 1:18 PM? 692 What is 564 minutes before 9:38 AM? 12:14 AM How many minutes are there between 10:39 AM and 4:39 PM? 360 How many minutes are there between 5:55 PM and 7:17 PM? 82 How many minutes are there between 4:48 AM and 4:50 AM? 2 What is 292 minutes before 1:58 PM? 9:06 AM What is 291 minutes after 4:22 PM? 9:13 PM What is 69 minutes after 4:59 AM? 6:08 AM What is 543 minutes after 4:34 PM? 1:37 AM How many minutes are there between 5:23 PM and 3:47 AM? 624 What is 137 minutes after 10:25 PM? 12:42 AM What is 690 minutes after 2:54 PM? 2:24 AM What is 401 minutes after 9:35 PM? 4:16 AM What is 636 minutes after 9:29 PM? 8:05 AM What is 535 minutes after 4:22 PM? 1:17 AM How many minutes are there between 1:15 PM and 3:34 PM? 139 What is 675 minutes before 6:03 AM? 6:48 PM What is 597 minutes after 1:14 PM? 11:11 PM What is 625 minutes before 11:30 AM? 1:05 AM What is 117 minutes after 5:11 PM? 7:08 PM What is 707 minutes before 12:14 PM? 12:27 AM What is 231 minutes after 5:50 PM? 9:41 PM What is 353 minutes after 7:24 AM? 1:17 PM What is 672 minutes before 2:31 PM? 3:19 AM How many minutes are there between 3:04 AM and 2:44 PM? 700 What is 139 minutes before 10:47 AM? 8:28 AM What is 552 minutes before 3:47 AM? 6:35 PM How many minutes are there between 2:50 AM and 6:04 AM? 194 What is 265 minutes before 3:44 AM? 11:19 PM What is 657 minutes after 4:37 PM? 3:34 AM How many minutes are there between 12:55 AM and 7:22 AM? 387 What is 185 minutes after 2:05 AM? 5:10 AM What is 560 minutes before 5:06 PM? 7:46 AM What is 209 minutes after 11:23 AM? 2:52 PM How many minutes are there between 11:21 AM and 1:02 PM? 101 What is 485 minutes after 2:29 PM? 10:34 PM What is 20 minutes before 10:13 PM? 9:53 PM What is 302 minutes after 7:10 AM? 12:12 PM How many minutes are there between 6:26 PM and 6:08 AM? 702 How many minutes are there between 2:31 PM and 4:55 PM? 144 What is 249 minutes before 10:03 PM? 5:54 PM What is 420 minutes after 8:17 PM? 3:17 AM How many minutes are there between 12:35 AM and 4:41 AM? 246 How many minutes are there between 9:01 AM and 6:08 PM? 547 How many minutes are there between 12:12 PM and 9:31 PM? 559 How many minutes are there between 4:02 AM and 10:14 AM? 372 How many minutes are there between 9:31 AM and 10:25 AM? 54 What is 591 minutes before 9:34 PM? 11:43 AM How many minutes are there between 12:27 AM and 11:06 AM? 639 What is 439 minutes after 5:06 AM? 12:25 PM How many minutes are there between 9:56 PM and 6:20 AM? 504 How many minutes are there between 5:59 PM and 9:04 PM? 185 What is 53 minutes after 6:00 AM? 6:53 AM What is 454 minutes after 2:51 AM? 10:25 AM How many minutes are there between 8:11 AM and 4:56 PM? 525 How many minutes are there between 5:48 PM and 10:58 PM? 310 How many minutes are there between 3:35 AM and 9:16 AM? 341 What is 657 minutes after 1:54 AM? 12:51 PM How many minutes are there between 10:21 PM and 7:49 AM? 568 What is 387 minutes after 11:49 PM? 6:16 AM What is 279 minutes after 1:18 AM? 5:57 AM How many minutes are there between 2:36 AM and 7:29 AM? 293 What is 719 minutes before 11:17 AM? 11:18 PM What is 237 minutes before 2:17 PM? 10:20 AM How many minutes are there between 11:07 AM and 4:20 PM? 313 What is 76 minutes after 3:36 AM? 4:52 AM How many minutes are there between 11:00 AM and 10:59 PM? 719 How many minutes are there between 12:28 AM and 4:39 AM? 251 What is 279 minutes before 4:03 AM? 11:24 PM How many minutes are there between 9:27 AM and 2:42 PM? 315 What is 279 minutes after 8:15 AM? 12:54 PM How many minutes are there between 1:44 AM and 2:33 AM? 49 What is 454 minutes after 4:17 PM? 11:51 PM How many minutes are there between 1:37 AM and 4:48 AM? 191 What is 406 minutes after 12:20 PM? 7:06 PM What is 328 minutes before 10:42 PM? 5:14 PM How many minutes are there between 10:05 PM and 3:32 AM? 327 How many minutes are there between 2:49 AM and 2:05 PM? 676 How many minutes are there between 7:12 AM and 1:11 PM? 359 How many minutes are there between 3:29 AM and 5:13 AM? 104 How many minutes are there between 11:38 PM and 7:39 AM? 481 What is 41 minutes before 3:20 AM? 2:39 AM What is 373 minutes after 1:06 AM? 7:19 AM What is 592 minutes before 10:52 AM? 1:00 AM What is 680 minutes after 6:17 AM? 5:37 PM How many minutes are there between 6:12 AM and 1:15 PM? 423 What is 667 minutes after 1:42 PM? 12:49 AM What is 318 minutes after 10:15 AM? 3:33 PM What is 481 minutes after 3:51 PM? 11:52 PM How many minutes are there between 4:31 PM and 10:44 PM? 373 How many minutes are there between 7:29 AM and 4:53 PM? 564 How many minutes are there between 7:06 AM and 2:43 PM? 457 How many minutes are there between 3:50 AM and 8:15 AM? 265 What is 669 minutes after 7:58 AM? 7:07 PM How many minutes are there between 5:36 PM and 12:20 AM? 404 How many minutes are there between 4:52 PM and 2:41 AM? 589 What is 428 minutes after 6:50 AM? 1:58 PM What is 20 minutes before 8:27 PM? 8:07 PM How many minutes are there between 4:14 AM and 11:42 AM? 448 What is 318 minutes after 3:25 AM? 8:43 AM How many minutes are there between 9:25 AM and 7:42 PM? 617 How many minutes are there between 6:50 AM and 5:54 PM? 664 What is 237 minutes after 11:39 PM? 3:36 AM How many minutes are there between 12:16 PM and 11:19 PM? 663 What is 525 minutes before 5:20 AM? 8:35 PM How many minutes are there between 10:27 PM and 2:31 AM? 244 What is 50 minutes after 9:55 PM? 10:45 PM How many minutes are there between 4:35 PM and 4:55 PM? 20 How many minutes are there between 1:26 PM and 10:46 PM? 560 How many minutes are there between 12:28 PM and 10:25 PM? 597 How many minutes are there between 10:53 AM and 1:08 PM? 135 How many minutes are there between 11:46 AM and 10:41 PM? 655 How many minutes are there between 10:21 PM and 10:06 AM? 705 What is 235 minutes after 2:46 PM? 6:41 PM How many minutes are there between 9:46 AM and 5:29 PM? 463 How many minutes are there between 4:25 AM and 2:41 PM? 616 How many minutes are there between 4:51 AM and 11:29 AM? 398 How many minutes are there between 2:31 PM and 4:18 PM? 107 How many minutes are there between 6:12 PM and 7:48 PM? 96 What is 10 minutes before 9:41 AM? 9:31 AM How many minutes are there between 2:48 PM and 11:13 PM? 505 What is 456 minutes after 2:51 PM? 10:27 PM What is 128 minutes after 7:15 AM? 9:23 AM What is 345 minutes after 3:12 PM? 8:57 PM What is 454 minutes after 7:36 PM? 3:10 AM What is 33 minutes before 5:57 AM? 5:24 AM What is 564 minutes after 2:37 PM? 12:01 AM How many minutes are there between 12:11 AM and 1:52 AM? 101 What is 581 minutes after 3:28 AM? 1:09 PM What is 27 minutes before 10:19 AM? 9:52 AM How many minutes are there between 4:44 PM and 5:23 PM? 39 How many minutes are there between 2:59 AM and 11:11 AM? 492 How many minutes are there between 3:17 PM and 5:08 PM? 111 What is 618 minutes after 1:22 AM? 11:40 AM What is 69 minutes after 4:00 AM? 5:09 AM How many minutes are there between 8:01 PM and 6:48 AM? 647 How many minutes are there between 3:04 PM and 1:09 AM? 605 What is 251 minutes before 10:30 AM? 6:19 AM How many minutes are there between 6:30 AM and 8:55 AM? 145 What is 508 minutes before 12:29 PM? 4:01 AM How many minutes are there between 9:21 AM and 12:45 PM? 204 How many minutes are there between 10:03 AM and 2:33 PM? 270 What is 2 minutes before 6:14 AM? 6:12 AM What is 217 minutes after 10:47 PM? 2:24 AM How many minutes are there between 2:23 PM and 11:41 PM? 558 What is 252 minutes after 7:58 PM? 12:10 AM What is 439 minutes after 1:04 PM? 8:23 PM How many minutes are there between 1:02 PM and 5:14 PM? 252 How many minutes are there between 1:27 AM and 12:06 PM? 639 What is 528 minutes after 1:23 PM? 10:11 PM How many minutes are there between 5:52 PM and 7:03 PM? 71 How many minutes are there between 1:21 PM and 2:32 PM? 71 How many minutes are there between 7:02 AM and 11:00 AM? 238 What is 699 minutes after 1:18 AM? 12:57 PM What is 184 minutes before 9:06 PM? 6:02 PM How many minutes are there between 7:28 AM and 10:45 AM? 197 How many minutes ar
{ "pile_set_name": "DM Mathematics" }
- -71/105. Let d = -0.394 - -1.594. Let j = -0.41 - -0.21. Which is the closest to j? (a) d (b) 0.2 (c) x c Let m be 1*2 - (-33)/(-17). Suppose 3*x = -6*g + 345, 2*x = 4*x - 10. Let u be 156/(-495) + 10/g. What is the closest to -2 in m, -0.1, u? u Let l = 43 - 43.1. Let f = 2487.7 - 2488. Which is the closest to l? (a) -0.1 (b) -19 (c) f a Let q be (-341)/165 + 3 - (-8)/(-6). Let v = -18 + 11. What is the nearest to -0.1 in v, 2, q? q Let p = -138.7 + 133.7. What is the closest to -2/7 in -0.1, 0.08, 4, p? -0.1 Let y be 175/539 + (-7)/(-7) + 26/(-22). Which is the closest to 1? (a) y (b) 20 (c) -1/17 a Let o = -156/7 + 22. Let c = 0 + 0.1. Let s = -3.62 - -4.02. What is the nearest to o in -4, c, s? c Let x = 2 + -1.9. Let v be (3 + (-32)/12)*9 - -176. Let t = v - 182. What is the closest to x in -4, t, 1/2? 1/2 Suppose -54*v + 15 + 73 = -62*v. What is the closest to v in 0.2, -3, 5? -3 Let n = 0.6 - 0.1. Let t = 254.9556 + 0.0444. Let y = t + -256. Which is the closest to y? (a) 0 (b) n (c) -11 a Let q = 6.35 + -8. Let h = -3.65 - q. Let d(l) = -l**2 - l + 1. Let s be d(1). What is the nearest to h in -0.3, -0.2, s? s Let w = -196.38 - -0.38. Let f = 71 + w. Let a = -123 - f. What is the nearest to a in 1/4, 0.5, -15/4? 0.5 Let p = 39445 + -39451. Let q = -1 - -3. What is the nearest to -0.1 in 5/2, q, p? q Suppose -14*r - 23*r - 137*r = -1044. Let p be 0 + 2 + (-18)/8. What is the closest to 3 in r, p, -0.3? r Let m = -102.9 - -101.9. Which is the closest to -0.3? (a) -2 (b) -0.118 (c) m (d) 0.3 b Let h = 0.4 + -0.5. Let d = -81 - -78. Let b be 9/(-12) - d*(-7)/4. What is the closest to 0 in b, h, 0.3? h Let o = -3 + 2.8. Let l = -936 - -927. Let g be l + 6 - (-12 - -6). What is the closest to o in 0.5, g, 2? 0.5 Let w = -18831 - -18830.838. Which is the nearest to -7? (a) 0.1 (b) w (c) 2/7 b Let n = -0.1 + -1.9. Let s be (-48)/(-18)*(-21 + 10)/11. What is the closest to 1/3 in s, -5, n? n Let m = 169 - 59. Let v be -3 + (3/8 - m/80). Which is the nearest to -0.1? (a) 2/5 (b) v (c) 34 a Suppose -4*x = -0*x - 96. Suppose -8*b + 16 = x. What is the nearest to b in 1, -5, -1? -1 Let y = 0.0388 - 610.0388. Let v = 611 + y. Which is the nearest to v? (a) -1 (b) 0.2 (c) 1/6 (d) -0.013 b Let t be (22/4)/(3/2) + (-129)/43. Which is the closest to t? (a) -5/6 (b) 1 (c) 1/9 b Let b = 6807 - 20423/3. What is the nearest to b in 3.4, -0.2, -34? -0.2 Suppose 8*o + 17 = 49. Let x = 32.79 - 0.79. Let a = x - 29. What is the closest to a in 5, o, -2/9? o Let d = -91 + 65. Let h = 27 + d. Let k(s) = -s**2 - 2*s. Let j be k(-2). What is the closest to 0 in j, h, 2/5? j Let r(q) = -3*q + 88. Let g be r(-24). Let o = g + -1119/7. What is the closest to 0.1 in o, -0.5, -2/3? o Let r be 12/(-10) + 210/50. Let y = -10.2 + 7.9. Let c = 1.7 - y. What is the closest to -5 in 5, r, c? r Let s = -1856 + 1855. Let i be ((-10)/(-8) + -2)*2. Which is the closest to s? (a) 5 (b) i (c) 0.09 b Suppose -2*x = -10, 3*k = 4*x + 4 - 12. Let s = 924 - 1805. Let v = s - -881.13. What is the closest to -1 in k, v, -1/2? -1/2 Let u = 4 - 10. Let r be (u/(-16))/((-15)/(-10)). Let g = 427 + -427. What is the closest to -1/3 in -2/7, g, r? -2/7 Let r = 18.08 + -12.61. Let x = -0.6095 + 0.1395. Let u = x + r. Which is the nearest to 2? (a) -1/3 (b) 1/3 (c) u b Let w be ((-10)/(-20))/(1/((-8)/2)). Let t(k) = -3*k**3 - 4*k**2 + 7*k + 7. Let g be t(w). What is the nearest to 5 in g, -1, 2? 2 Let h = 1.118 + -0.258. Let r = h + -1.36. Let v = -1.2 + 1.42. Which is the closest to v? (a) r (b) -4 (c) -2/13 c Let h = 11 - 11.4. Let w = -1285 + 1292. Let m = 0.1 - 0. What is the closest to m in 2, h, w? h Let i be (14/35*-1)/(42/35). What is the closest to -21/4 in 0, i, -3? -3 Let q = -122 - 68. Let c = q - -192. Let m be 0 - (0 + -1 + -2). What is the nearest to c in -0.3, m, 0.1? m Suppose -13*k + 16 = -36. Suppose -4*h + h - 8 = -2*p, -4*p - k = 4*h. Let g be ((-9)/(-171))/(h/(-4)). Which is the nearest to -1/4? (a) g (b) 2/3 (c) -3 a Suppose w = -2*f + 4*f - 1, -5*f = 3*w + 3. Let g = 827 + -873.9. Let l = -47 - g. Which is the closest to l? (a) 4 (b) -0.07 (c) f b Let g be (2 - (-11)/11)/((-21)/2). Let y = -254 - -257. What is the closest to 2/3 in g, y, 0.1, -3? 0.1 Let z = 0.3859 + -0.4759. Which is the closest to -2? (a) -1/4 (b) z (c) -0.5 c Let z = 0.27636 + 0.12364. Let q be -2*((-1)/4 - 0). Let y be 1/2 - 3/(-10). What is the nearest to y in q, -0.2, z? q Let h = -7570.98 + 7571. Which is the closest to -0.1? (a) -5 (b) 2/7 (c) h (d) 2 c Suppose l = 5*r - 22, 24 - 30 = -3*l - 3*r. Suppose -6 - 26 = -4*h. Let q = h + -4. What is the nearest to 2 in 1, l, q? 1 Let s = 12.15 - -481.85. Let t = s - 493.6. Which is the nearest to 0? (a) t (b) 5 (c) 1/2 (d) 13 a Let h = -19 - -28. Suppose 0*k + h = 3*k. Let u = 257.5 - 257.2. Which is the closest to 1? (a) 7 (b) k (c) u c Let w = 8631.2 + -8631. What is the closest to w in -0.1, -1, 0, 0.49? 0 Let l = -2174 - -2174.5. Which is the closest to 3? (a) l (b) -5 (c) 2/9 (d) 10 a Suppose 5*j = 2*j + 63. Suppose j = -2*p + 5*r, 0 = 5*p - 5*r + 36 - 6. Let w be (p + 10/3)*1. Which is the closest to 1? (a) w (b) -3 (c) -2 a Let r be (-3)/12 - 8/128*-8. Which is the nearest to -2? (a) r (b) 1/8 (c) 1/3 (d) -0.1 d Let z = 0.02 + 0.08. Let g be ((-18)/(-21))/((-3839)/(-4886)). Which is the closest to g? (a) -0.3 (b) z (c) -2/11 (d) 0 b Let v be (5/20)/(15/20). Let y = -5.7 - -10.8. Let b = y - 3.1. What is the nearest to 0.1 in b, 5, v? v Let c = -2247.1 - -2247.1. What is the closest to 0.6 in 2/3, 8, 4, c? 2/3 Let f = 165.3 - 174.3. What is the closest to -1 in f, 124, 2? 2 Let x(s) = s**2 + 4*s - 10. Let u be x(-6). Suppose 0 = c - 3*b, b - u = -2*c - 16. Let d be ((-27)/6)/(3 + c). What is the closest to 1 in 1, d, -0.3? 1 Let p be 60 + -60 + 2/5 + 0. What is the nearest to 0.1 in p, -16, 0.1, 3/5? 0.1 Let j be (-3)/(-10)*250/(-450). Which is the nearest to 2? (a) 6 (b) -1/5 (c) -4 (d) j d Let k = -144318 + 144322. Let s be (-2)/4 + (-2)/(-2). What is the nearest to -2 in s, k, 1/14? 1/14 Suppose -3*v - 14 = 5*j + 31, -3*v = j + 21. Which is the nearest to 1? (a) 5 (b) v (c) -0.07 c Let h = -0.1909 + -1.3091. Which is the nearest to 2/9? (a) -5 (b) h (c) -1/2 (d) 0.3 d Let o = -5732 + 5741. What is the nearest to o in 2/7, -0.4, -4, 0.12? 2/7 Let m = -15 - -31. Let h be 4/(-30)*(-855)/1083. What is the closest to m in -5, h, 1/4? 1/4 Let z = 5.1 + -2. Let m = 3 - z. Let l = 1220 + -1215. Which is the nearest to m? (a) 2/15 (b) -5 (c) l a Let r = -2817.9 - -2818. What is the closest to 0.1 in -12/11, r, 0.5, 1? r Let j(z) = z**3 - 2*z**2 + 8*z + 6. Let y be j(0). Which is the closest to -2/5? (a) 0.1 (b) y (c) 1/7 a Let l be 5 + (-50)/15 - (-8)/(-6). Let n = -3.5 - -4.1. What is the closest to l in n, -0.2, 1? n Let l = 0.8358 - 0.7758. Let i = -45 - -183/4. What is the closest to -2/3 in -2, l, -4, i? l Let k = -0.3 - -1.3. Let h = 12707 - 12668. Which is the nearest to k? (a) 0 (b) h (c) 4 a Let y = -50 + 126. Let n = y + -74. Let i(q) = -5*q + 11. Let v be i(3). What is the closest to v in -0.1, n, -0.3? -0.3 Let o = 40 + -39. Let g = -52 + 197. Let j = g + -144.5. What is the closest to o in -1, -2, j? j Let y = -1.882 + -0.118. Let n(k) = -k**2 - 14*k - 5. Let h be n(-14). Suppose -5*t + 0 = -10. What is the closest to t in 0, y, h? 0 Let k = -1320.9 - -1322. What is the nearest to 1 in k, 0.2, -4? k Suppose -23*f + 833 = 22*f - 38*f. Which is the nearest to 0.1? (a) -1/4 (b) 2 (c) f a Suppose -4*m = -5*m + 210. Let h be (2 + 322/(-162))/(35/m). What is the nearest to -0.1 in 3, h, 2? h Suppose -3*r + 79 = -3*y + 1, 2*y = -10. What is the nearest to 1/10 in r, -1/3, 0.4, 3? 0.4 Let m be (-935)/(-4)*5/(-19 + -6). Let g = m + 45. What is the closest to g in 0, 0.1, 5, 3/5? 0 Let f = 0.2 - 0.7. Let w = 117.079 + -117. Let o = -0.379 + w. What is the nearest to o in -1/7, 0.3, f? -1/7 Let m = -1.3 - -1.44. Let r be 13/((-143)/110) + 143/33 + 5. Which is the nearest to r? (a) -4 (b) 2 (c) -0.4 (d) m c Let k be (42 + -32)/(3/((-6)/(-4))). Let i = 1 - -9. Let m = i + -11. Which is the closest to m? (a) -2 (b) 0.3 (c) k a Let y = 152786/7 + -
{ "pile_set_name": "DM Mathematics" }
n 4855 is divided by 366. 97 Calculate the remainder when 2412967 is divided by 8. 7 What is the remainder when 800426 is divided by 596? 594 What is the remainder when 13456 is divided by 385? 366 What is the remainder when 6870 is divided by 979? 17 Calculate the remainder when 469038 is divided by 31269. 3 Calculate the remainder when 28486 is divided by 9440. 166 What is the remainder when 2294 is divided by 1983? 311 Calculate the remainder when 6426691 is divided by 91. 89 Calculate the remainder when 16729 is divided by 7. 6 What is the remainder when 4088 is divided by 431? 209 Calculate the remainder when 66382 is divided by 18. 16 What is the remainder when 702163 is divided by 41? 38 Calculate the remainder when 182628 is divided by 37. 33 What is the remainder when 1593 is divided by 1026? 567 Calculate the remainder when 277763 is divided by 19839. 17 What is the remainder when 10239 is divided by 99? 42 Calculate the remainder when 28485 is divided by 1780. 5 What is the remainder when 395671 is divided by 95? 91 What is the remainder when 58314 is divided by 535? 534 Calculate the remainder when 747549 is divided by 32. 29 Calculate the remainder when 76069 is divided by 208. 149 What is the remainder when 27053 is divided by 220? 213 Calculate the remainder when 2693 is divided by 627. 185 Calculate the remainder when 1211655 is divided by 21. 18 What is the remainder when 29749 is divided by 9852? 193 What is the remainder when 10270 is divided by 4672? 926 Calculate the remainder when 6663 is divided by 15. 3 Calculate the remainder when 353303 is divided by 56. 55 What is the remainder when 368 is divided by 144? 80 What is the remainder when 5967 is divided by 545? 517 What is the remainder when 80630 is divided by 55? 0 Calculate the remainder when 10362 is divided by 27. 21 What is the remainder when 65246 is divided by 9299? 153 Calculate the remainder when 4139 is divided by 61. 52 What is the remainder when 69102 is divided by 3839? 0 What is the remainder when 10951 is divided by 72? 7 Calculate the remainder when 36189 is divided by 58. 55 What is the remainder when 28610 is divided by 699? 650 What is the remainder when 6187 is divided by 85? 67 What is the remainder when 8070 is divided by 213? 189 Calculate the remainder when 7587 is divided by 1517. 2 What is the remainder when 10152 is divided by 5075? 2 Calculate the remainder when 36602 is divided by 815. 742 What is the remainder when 4776 is divided by 1265? 981 Calculate the remainder when 13114 is divided by 19. 4 What is the remainder when 708 is divided by 349? 10 What is the remainder when 2709 is divided by 264? 69 Calculate the remainder when 126341 is divided by 42110. 11 Calculate the remainder when 2105 is divided by 525. 5 What is the remainder when 2129 is divided by 2125? 4 Calculate the remainder when 39305 is divided by 39238. 67 What is the remainder when 7189 is divided by 232? 229 Calculate the remainder when 14430 is divided by 82. 80 Calculate the remainder when 25413 is divided by 19. 10 Calculate the remainder when 178 is divided by 147. 31 Calculate the remainder when 16007 is divided by 178. 165 What is the remainder when 20315 is divided by 515? 230 What is the remainder when 4777 is divided by 696? 601 What is the remainder when 28208 is divided by 297? 290 What is the remainder when 16124 is divided by 3910? 484 What is the remainder when 20486 is divided by 94? 88 What is the remainder when 2371 is divided by 1085? 201 Calculate the remainder when 417804 is divided by 11937. 9 What is the remainder when 165427 is divided by 5169? 19 Calculate the remainder when 48957 is divided by 6. 3 Calculate the remainder when 9734 is divided by 572. 10 What is the remainder when 40929 is divided by 372? 9 Calculate the remainder when 4525 is divided by 1508. 1 Calculate the remainder when 2082 is divided by 364. 262 Calculate the remainder when 100154 is divided by 991. 63 Calculate the remainder when 1503 is divided by 30. 3 Calculate the remainder when 47298 is divided by 340. 38 Calculate the remainder when 25067 is divided by 109. 106 Calculate the remainder when 639 is divided by 352. 287 What is the remainder when 134615 is divided by 57? 38 Calculate the remainder when 1539 is divided by 1447. 92 Calculate the remainder when 110177 is divided by 419. 399 Calculate the remainder when 230209 is divided by 134. 131 Calculate the remainder when 995 is divided by 187. 60 Calculate the remainder when 23532 is divided by 7842. 6 What is the remainder when 45537 is divided by 132? 129 What is the remainder when 183 is divided by 35? 8 What is the remainder when 1043462 is divided by 184? 182 What is the remainder when 55329 is divided by 162? 87 Calculate the remainder when 384167 is divided by 10. 7 Calculate the remainder when 10476 is divided by 3461. 93 What is the remainder when 28623 is divided by 156? 75 What is the remainder when 4455358 is divided by 85? 83 Calculate the remainder when 1356 is divided by 363. 267 Calculate the remainder when 42484 is divided by 95. 19 What is the remainder when 6891 is divided by 194? 101 What is the remainder when 214583 is divided by 71526? 5 What is the remainder when 32222 is divided by 89? 4 Calculate the remainder when 2217 is divided by 2182. 35 What is the remainder when 4179 is divided by 75? 54 What is the remainder when 75355 is divided by 105? 70 Calculate the remainder when 4622 is divided by 55. 2 What is the remainder when 549078 is divided by 74? 72 What is the remainder when 1587 is divided by 537? 513 Calculate the remainder when 80182 is divided by 12. 10 Calculate the remainder when 62220 is divided by 73. 24 What is the remainder when 107876 is divided by 233? 230 Calculate the remainder when 4465 is divided by 491. 46 What is the remainder when 114570 is divided by 378? 36 Calculate the remainder when 8811 is divided by 1461. 45 What is the remainder when 16305 is divided by 626? 29 Calculate the remainder when 5919 is divided by 37. 36 What is the remainder when 13243 is divided by 602? 601 What is the remainder when 13984 is divided by 41? 3 Calculate the remainder when 74989 is divided by 815. 9 Calculate the remainder when 158856 is divided by 1638. 1608 What is the remainder when 5387925 is divided by 168? 165 Calculate the remainder when 4507 is divided by 658. 559 What is the remainder when 278281 is divided by 55653? 16 Calculate the remainder when 1627 is divided by 107. 22 Calculate the remainder when 4088 is divided by 293. 279 Calculate the remainder when 2783 is divided by 258. 203 Calculate the remainder when 24662 is divided by 440. 22 Calculate the remainder when 45439 is divided by 175. 114 What is the remainder when 17238 is divided by 2464? 2454 Calculate the remainder when 11461 is divided by 4566. 2329 What is the remainder when 6702 is divided by 163? 19 Calculate the remainder when 22841 is divided by 787. 18 What is the remainder when 119637 is divided by 6? 3 Calculate the remainder when 161320 is divided by 69. 67 What is the remainder when 421 is divided by 212? 209 Calculate the remainder when 83884 is divided by 98. 94 What is the remainder when 233334 is divided by 13? 10 Calculate the remainder when 4681 is divided by 109. 103 Calculate the remainder when 150328 is divided by 864. 856 What is the remainder when 654212 is divided by 7882? 6 Calculate the remainder when 1718819 is divided by 36. 35 What is the remainder when 10082 is divided by 50? 32 Calculate the remainder when 1395 is divided by 10. 5 Calculate the remainder when 641 is divided by 150. 41 What is the remainder when 3050 is divided by 752? 42 What is the remainder when 138620 is divided by 39? 14 What is the remainder when 10300 is divided by 1502? 1288 Calculate the remainder when 319000 is divided by 159489. 22 Calculate the remainder when 5008 is divided by 4550. 458 Calculate the remainder when 25090 is divided by 5011. 35 What is the remainder when 7378 is divided by 101? 5 Calculate the remainder when 1609 is divided by 69. 22 Calculate the remainder when 17943 is divided by 406. 79 Calculate the remainder when 107401 is divided by 274. 267 Calculate the remainder when 74
{ "pile_set_name": "DM Mathematics" }
671 rounded to 5 decimal places? -0.00057 What is -279797.571 rounded to the nearest 10000? -280000 What is -65.256203 rounded to two dps? -65.26 Round 21.36286807 to 2 decimal places. 21.36 Round -0.942934724 to 4 decimal places. -0.9429 What is -1422493630 rounded to the nearest 1000000? -1422000000 Round 32751831.97 to the nearest one hundred thousand. 32800000 Round 132470.519 to the nearest ten. 132470 What is 17.55033723 rounded to three decimal places? 17.55 Round -4668995950 to the nearest 1000000. -4669000000 Round -0.0088333411 to two dps. -0.01 Round 0.105462535 to 4 decimal places. 0.1055 Round 78050776.12 to the nearest 10000. 78050000 Round 0.017447828 to 3 decimal places. 0.017 Round -217508.5481 to the nearest 10. -217510 Round 227.325693 to the nearest integer. 227 What is -190470011.1 rounded to the nearest 1000000? -190000000 What is -0.0000327902056 rounded to six decimal places? -0.000033 Round -2667.60558 to the nearest integer. -2668 Round 0.0001431459824 to six decimal places. 0.000143 Round -96.4393306 to the nearest integer. -96 What is 0.01134596548 rounded to four decimal places? 0.0113 What is -0.0003967871563 rounded to 6 decimal places? -0.000397 Round 0.4729190196 to 3 decimal places. 0.473 What is 14464.534 rounded to the nearest one thousand? 14000 What is 169.84048 rounded to the nearest ten? 170 Round -44298450400 to the nearest one million. -44298000000 What is 0.01744074869 rounded to 3 dps? 0.017 What is 339397.71 rounded to the nearest one hundred? 339400 Round -6739675300 to the nearest 1000000. -6740000000 What is -0.00018039019 rounded to six dps? -0.00018 What is 4296.02968 rounded to the nearest one thousand? 4000 What is 0.0000098830212 rounded to seven decimal places? 0.0000099 Round 43641266.4 to the nearest 10000. 43640000 What is 10296577 rounded to the nearest 1000? 10297000 Round -324858438.6 to the nearest ten thousand. -324860000 Round -0.0011263923 to 5 decimal places. -0.00113 What is 0.00000416787083 rounded to 7 decimal places? 0.0000042 Round -13533.95089 to the nearest 100. -13500 What is 25.1899029 rounded to the nearest 100? 0 What is 24246.57975 rounded to the nearest ten thousand? 20000 What is 1634000.78 rounded to the nearest 100000? 1600000 Round -0.000438233802 to 7 decimal places. -0.0004382 What is 851.95577 rounded to the nearest one hundred? 900 Round 0.000135036619 to seven dps. 0.000135 What is 8723467600 rounded to the nearest one million? 8723000000 What is 0.0000639095913 rounded to seven dps? 0.0000639 Round 526.693315 to the nearest ten. 530 Round -20.7870406 to the nearest 10. -20 Round 0.000001421591316 to 7 decimal places. 0.0000014 Round -0.00000602306063 to six decimal places. -0.000006 Round -1343156.098 to the nearest 10000. -1340000 Round 149782470 to the nearest 1000000. 150000000 What is -0.0311337322 rounded to four dps? -0.0311 What is -5383385.97 rounded to the nearest one hundred? -5383400 Round 1197716.487 to the nearest one thousand. 1198000 Round -656.41676 to the nearest ten. -660 Round -131.742792 to 2 decimal places. -131.74 What is 13011875.61 rounded to the nearest one thousand? 13012000 What is 0.0273205491 rounded to four dps? 0.0273 What is -687822912 rounded to the nearest ten thousand? -687820000 What is -5413931.2 rounded to the nearest one thousand? -5414000 Round 1339507.38 to the nearest ten thousand. 1340000 Round -0.00733233901 to seven decimal places. -0.0073323 Round -1506.89713 to the nearest one hundred. -1500 What is 7152.14908 rounded to the nearest one hundred? 7200 Round 0.0004810863508 to 7 dps. 0.0004811 What is 102414264.5 rounded to the nearest one million? 102000000 Round 33761.9931 to the nearest integer. 33762 What is -1087991120 rounded to the nearest 1000000? -1088000000 What is -0.0577677452 rounded to two decimal places? -0.06 What is 0.344863568 rounded to 2 decimal places? 0.34 Round 0.641129004 to 5 dps. 0.64113 What is 240818.1041 rounded to the nearest 100? 240800 Round -10527938.25 to the nearest one hundred thousand. -10500000 What is -2678599300 rounded to the nearest one hundred thousand? -2678600000 What is 0.00003532143596 rounded to seven decimal places? 0.0000353 Round -0.00582233959 to six decimal places. -0.005822 Round 22044303.04 to the nearest one thousand. 22044000 What is -318437030 rounded to the nearest one million? -318000000 Round -63.44282607 to the nearest ten. -60 Round 1394657.4 to the nearest 10000. 1390000 Round 0.00812913953 to 5 dps. 0.00813 What is -15354938.2 rounded to the nearest one thousand? -15355000 What is 666667.795 rounded to the nearest 10? 666670 Round 293.373146 to the nearest ten. 290 What is 0.0001782766275 rounded to 7 dps? 0.0001783 What is -0.001283289314 rounded to six dps? -0.001283 What is -89926539 rounded to the nearest one million? -90000000 What is 46195059700 rounded to the nearest one million? 46195000000 Round -3556.894 to the nearest one hundred. -3600 Round -0.0000137713336 to six decimal places. -0.000014 Round -0.000008391156262 to six decimal places. -0.000008 What is 21.6038653 rounded to 2 dps? 21.6 Round 0.00099215518 to five decimal places. 0.00099 What is -0.000072977247 rounded to 7 decimal places? -0.000073 Round 1221.79144 to the nearest 100. 1200 What is 2379748.858 rounded to the nearest 1000000? 2000000 What is 581160360 rounded to the nearest one million? 581000000 What is -358654.81 rounded to the nearest 1000? -359000 What is -1.4700144757 rounded to one decimal place? -1.5 What is -144961.6905 rounded to the nearest one thousand? -145000 What is -958275.6985 rounded to the nearest 10000? -960000 What is 0.00175182067 rounded to six decimal places? 0.001752 What is 94642192.7 rounded to the nearest one million? 95000000 Round -152.51332 to the nearest 10. -150 Round 851.656213 to the nearest integer. 852 What is -4745758969 rounded to the nearest one million? -4746000000 Round 237191.8049 to the nearest one hundred thousand. 200000 Round 0.004372273 to three dps. 0.004 Round -0.000090085435 to seven decimal places. -0.0000901 Round 18132104.02 to the nearest ten thousand. 18130000 What is -13041.53943 rounded to the nearest integer? -13042 What is 15.1495933 rounded to zero dps? 15 Round -7514.44 to the nearest 1000. -8000 What is -5.01373638 rounded to two decimal places? -5.01 Round 137083096.68 to the nearest one million. 137000000 Round 0.000000963505289 to seven decimal places. 0.000001 What is -0.044934417 rounded to 3 decimal places? -0.045 Round -20965.9129 to the nearest integer. -20966 What is 680773.31 rounded to the nearest one hundred thousand? 700000 Round -429697.29 to the nearest one hundred. -429700 Round 30194559.26 to the nearest one thousand. 30195000 What is -2156361049.6 rounded to the nearest one hundred thousand? -2156400000 Round -299.635835 to the nearest ten. -300 What is 0.09353027494 rounded to two dps? 0.09 Round 1760.866997 to the nearest one hundred. 1800 Round -1.2472952 to four decimal places. -1.2473 What is -1159.10421 rounded to the nearest ten? -1160 Round 0.7810871401 to two decimal places. 0.78 Round 10806908.8 to the nearest one million. 11000000 What is -249924.5786 rounded to the nearest 1000? -250000 Round 0.002608870403 to six decimal places. 0.002609 Round -90.8045636 to the nearest ten. -90 Round 18761.6553 to the nearest 10. 18760 Round 1889.00663 to the nearest 100. 1900 Round 0.000837673954 to seven dps. 0.0008377 Round -0.08227452 to 5 decimal places. -0.08227 Round -1.889240495 to four decimal places. -1.8892 What is 416288.8325 rounded to the nearest ten? 416290 What is 60.44532379 rounded to the nearest 10? 60 Round -250.637808 to two dps. -250.64 What is -701283.3323 rounded to the nearest ten thousand? -700000 Round -791.3579 to one decimal place. -791.4 Round 3.2065261 to 1 decimal place. 3.2 What is -112569702.26 rounded to the nearest one hundred thousand? -112600000 What is -32040.261 rounded to the nearest ten thousand? -30000 Round 8466263.14 to the nearest 1000. 8466000 What is -5900034.1 rounded to the nearest ten thousand? -5900000 Round -455817.9174 to the nearest ten. -455820 Round -892.52029 to the nearest 100. -900 What is -0.00000185247321 rounded to 7 decimal pl
{ "pile_set_name": "DM Mathematics" }
+ 63 to the form j*i + w + k*i**3 + p*i**2 and give k. 3 Express 384*p - 3156*p + 1479*p as b + w*p and give w. -1293 Express (3*l - 8*l + l)*(18*l + 9*l + 25*l + (-5 + 1 + 3)*(-2*l + 7*l - 2*l)) in the form a*l**2 + t + o*l and give a. -196 Rearrange -3*j + 35*j**3 + 16*j + 6*j**4 - 2*j - 41*j**3 to the form c*j + f + l*j**2 + u*j**4 + g*j**3 and give u. 6 Rearrange -11 + 12*i - 4*i - 188 - 190 - 10*i to q*i + x and give x. -389 Rearrange -6*p**4 + 7380*p - 14749*p - 59*p**2 + 7368*p - 1 to a*p**4 + s*p**2 + z + o*p**3 + c*p and give a. -6 Express 54*t**3 + 74*t**2 - 101*t**2 + 49*t**3 + 20*t**2 + 45*t**3 in the form j + c*t + z*t**2 + f*t**3 and give z. -7 Rearrange -6*b - 2*b**4 - 7511 + 3754 + 3756 + 14*b**3 to the form g*b**4 + m + n*b**3 + j*b + k*b**2 and give j. -6 Rearrange 2 + 90*i + 25*i**3 - 302*i**2 + 300*i**2 - 26*i**3 to l*i + c + v*i**3 + t*i**2 and give l. 90 Express (2482 + 1827 - 6328 + 4283)*(4 - 4 + 1)*(-4*y + 2*y + 4*y) as k*y + f and give k. 4528 Express (3027*c**2 - 6906*c**2 - 5444*c**2)*(-2*c - 2 + 2) as r*c**3 + q + u*c + w*c**2 and give r. 18646 Rearrange 73679*w - 87544224 + 87544224 + (w + 3 - 3)*(1 - 3 + 4) to g*w + j and give g. 73681 Rearrange (3*o + 2*o - 3*o)*(7*o - 111*o + 3*o)*(-23 + 3 + 6) to v*o**2 + g + s*o and give v. 2828 Express 19363*f**4 - 19419*f**4 - 495 + 2*f**2 + 493 - 6*f**3 as h*f**3 + d*f**4 + s*f**2 + t*f + l and give l. -2 Express -3 + 13159*a - 5 - 13310*a as s*a + q and give s. -151 Rearrange (4*p - 6*p - 3 + 4*p)*(1220*p + 1131*p - 1585*p) to g + u*p + q*p**2 and give q. 1532 Rearrange ((j - j + j)*(136 + 35 + 10) + 2*j - 4*j + 8*j + (3*j - 2*j - 2*j)*(-4 + 7 - 1))*(-2 - 1 + 2) to b + k*j and give k. -185 Express -1946 + 959 + 2*b**3 + 986 + 31*b + 15*b**2 + 2*b**4 in the form s*b + v*b**2 + c + n*b**4 + t*b**3 and give c. -1 Rearrange 0 + 3*u + 0 + (461 - 84 - 19)*(6*u + 0*u - 2*u) + (3*u - 5*u + 0*u)*(-4 + 4 - 2) + 2*u + u - u to p + k*u and give k. 1441 Rearrange -12 + 150 - 2*y + 0*y + 83 to the form j*y + z and give j. -2 Express -24 + 6 + f + 4 - 3*f**2 + 5 + 2 as z + v*f + d*f**2 and give z. -7 Rearrange 1 - 2*d**4 + 116181*d**3 + d**4 + d + 122*d**2 - 116176*d**3 to f*d**2 + c*d**4 + i*d**3 + a*d + s and give a. 1 Rearrange -8*g**2 + 72*g**3 + 2 + 16*g - 10*g**3 + 46*g + 5*g - 64*g**3 to o + c*g + y*g**3 + u*g**2 and give o. 2 Express -21106*s + 7031*s + 7036*s + 7038*s - 1011 - 783 in the form g + i*s and give g. -1794 Rearrange 1746*t**2 + 248 + 37 + 431 - 1747*t**2 to j*t**2 + z + u*t and give z. 716 Rearrange (-398 + 3085 + 2637)*(5 - 5*x - 5) to d*x + v and give d. -26620 Express -169*i**2 + 80*i**2 + i**3 - 3738 + 76*i**2 + 3740 - 44*i as t + y*i + w*i**2 + z*i**3 and give y. -44 Express (55 + 428 + 618)*(5*m - 4*m - 3*m)*(-4*m**3 - 2*m**3 + 5*m**3) as o*m**4 + s*m**3 + c*m + i*m**2 + w and give o. 2202 Rearrange 19*m - 2*m**3 + 6*m**3 + 7*m**2 - 3*m**2 - 9 - 20*m + 4*m to the form n*m + a*m**3 + g + y*m**2 and give g. -9 Rearrange 5557*v - 438 + 23897*v + 882 - 444 to the form p*v + q and give q. 0 Rearrange (-2 + 0 + 0)*(52*m + 23*m - 22*m) + m + 2*m - 4*m + 5 - 2 - 17*m + 19*m to h*m + d and give d. 3 Express 571*h - 997*h - 1517*h - 1464*h + 882*h in the form l*h + r and give l. -2525 Express 34*s**3 - 36*s**3 - 401*s**2 + 178*s - 341*s + 167*s as u*s**3 + l*s + t*s**2 + m and give l. 4 Express (-2 + 0 + 5 + (-2 + 3 + 0)*(4 - 3 + 2))*(-2 - 4 - 5*z + 9*z)*(-3 + 5*z - 12*z + 8*z) in the form d*z + a + y*z**2 and give a. 108 Rearrange -2*p**2 + 38 + 2*p**4 + 30*p**3 - 101 + 34 + 48 - 3*p**4 - p to the form b*p**2 + q*p**4 + t*p**3 + r*p + h and give t. 30 Express -37*z + 2 - 230*z - 458*z - 773*z in the form u*z + i and give i. 2 Rearrange -2699*u**2 - 903*u**2 - 3762*u**2 + (0*u - u + 2*u)*(u - u - u) to the form t*u**2 + k*u + m and give k. 0 Express -1528*z**2 - 1885*z**2 + 901*z**2 - 715*z**2 as v + y*z + p*z**2 and give p. -3227 Express (-a**3 - 12*a**3 - 4*a**3)*(13 - 13 + 19*a) + 9 - 3*a**4 + 7 - 10*a + 0*a**4 - 16 in the form g*a**4 + b*a**2 + h + n*a + u*a**3 and give n. -10 Express 731566 + 14197*a - 731566 in the form u*a + r and give u. 14197 Rearrange (-4*c - 5*c + 0*c + (2*c + 0*c - c)*(2 + 1 - 1))*(-27*c**2 + 2*c**2 - 31*c**2)*(-3 + 3 + 1) to z*c + m + v*c**3 + s*c**2 and give v. 392 Express -520*a**4 - 25*a + 54 + 22*a + 526*a**4 as p*a**3 + o + m*a**4 + h*a + n*a**2 and give o. 54 Rearrange (-6*r**2 + 40 - 40)*(50*r**2 + 69 - 52*r**2 - 221) to the form c*r**4 + f*r + p*r**3 + z*r**2 + o and give z. 912 Express 434675 + 2*k**3 - 434674 + 26*k - 3*k**3 as g*k**3 + u*k**2 + d + p*k and give g. -1 Rearrange -352 + 107 - 88*d**2 - d**3 + 46*d**2 + 43*d**2 to the form q*d**3 + v*d + u*d**2 + t and give u. 1 Rearrange (-374*u + 729*u - 462*u)*(-2*u**3 + 0*u**3 - 8*u**2 + 3*u**3) to the form x*u**3 + d*u + h*u**4 + t*u**2 + b and give h. -107 Rearrange (5*o - 30 + 30)*(-148 - 118 - 790 - 924 + 228) to the form a*o + m and give a. -8760 Express 1557 + 1581 - 3116 - 13*u as a*u + d and give d. 22 Express -63442*f**2 + 11*f + 63442*f**2 + 266*f**3 in the form n + l*f**2 + p*f + q*f**3 and give q. 266 Express -23196*a + 23196*a - 2*a**2 - 904 in the form r*a + u + x*a**2 and give r. 0 Express -303*g - 2288*g - 1736*g - 2697*g + 753*g in the form z + b*g and give b. -6271 Express (-3 + o**3 + 3)*(2*o - 5 + 5) - 36*o**2 + 63*o**2 + 170*o**4 + 180*o**4 - 27*o**2 - 57*o**4 in the form w*o**4 + j*o + d + a*o**2 + q*o**3 and give w. 295 Express 19*h + 3 - 127*h**3 - 58*h**2 + 125*h**3 + 2*h**4 + 27*h**2 + 36*h**2 in the form w*h + t*h**3 + p*h**2 + v*h**4 + j and give j. 3 Express (-t**3 + 5*t**3 + t**3 + t**3 + 2*t - 2*t + (0*t**2 + 0*t**2 - t**2)*(-3 + 3 + 2*t))*(t - 17*t - 9*t) as l*t**2 + p + o*t**4 + a*t + d*t**3 and give l. 0 Express (-22209 + 3270 - 9470 - 3572)*(2*k**2 + 0*k**2 + 0*k**2) as x*k + q + u*k**2 and give u. -63962 Rearrange -494 + 53*m**3 + 176 + 161 - m + 198 to z*m**2 + r + t*m + h*m**3 and give r. 41 Express v + 1 + 2844*v**2 - 1 - 5444*v**2 as y*v**2 + c + k*v and give y. -2600 Rearrange 5*a**3 - 19*a**2 - 34*a**4 - 2 + 759*a + 33*a**4 - 760*a to the form l*a**4 + m + y*a + u*a**2 + k*a**3 and give m. -2 Express -187531*o**3 + 187524*o**3 + 4 + o**4 + 37*o**2 - 13*o**2 as f*o + g*o**2 + x*o**3 + n + l*o**4 and give g. 24 Express 2129*m**3 + 2133*m**3 + 29*m - 4266*m**3 + 2*m**2 + 3*m**2 - 4*m**2 as y*m**3 + i + j*m + s*m**2 and give y. -4 Rearrange 3700*w - 13391*w - 4659*w to the form b*w + s and give b. -14350 Rearrange 50*u**3 + 131*u**4 - 19*u**3 - 14*u**3 - 11*u**3 - 2*u**2 + 2*u + 0*u**2 to m*u**2 + k*u + y*u**3 + s*u**4 + g and give k. 2 Rearrange (-3 + 1 + 4)*(2 - 1 - 2)*(25 + 27 + 18)*(11*s + 14*s - 4 - 30*s) to the form x + u*s and give x. 560 Rearrange -76*p**2 - 39*p**2 - 5*p - 3*p**2 + 13*p**2 + 7*p to the form c*p + j*p**2 + m and give j. -105 Express (-37*o + 12*o + 7*o)*(4 + 9 + 14)*(-3*o + 8*o + o + (0 - 2 + 0)*(-3*o + o + 3*o) - 4*o + 2*o + o) in the form l*o + g + b*o**2 and give b. -1458 Rearrange -682*y**2 + 419 + 420 + 414 - 1250 to the form c + j*y**2 + l*y and give j. -682 Express (441*q + 3215*q + 1423*q - 1098*q)*(0 - 2*q**2 + 0) + (-4*q + 2*q + q)*(0*q**2 - q**2 + 0*q**2) as r*q**3 + a + u*q**2 + l*q and give r. -7961 Rearrange -6309*p**2 + p**3 - 216*p - 58*p**4 + 6336*p**2 + 214*p to l*p + m*p**2 + h + t*p**3 + w*p**4 and give l. -2 Rearrange (12*l**2 - 2 - 878*l + 878*l)*(19 - 8*l - 19) to the form q*l + n*l**3 + o*l**2 + x and give q. 16 Express -62756*j**2 - 77*j + 62780*j**2 - 96*j - j**3 in the form d*j + y*j**3 + g + k*j**2 and give d. -173 Rearrange -782*p**2 - 462*p - 337*p + 389*p**2 + 386*p**2 to t*p**2 + a + b*p and give t. -7 Express -12 + 6*d**3 + 129394*d**2 - 10*d - 129394*d**2 in the form s*d + m + g*d**3 + h*d**2 and give s. -10 Express 111*a - 951 + 5*a**3 + 108*a - 329*a - 10*a**3 + 111*a + 2*a**2 in the form x*a + h + u*a**3 + t*a**2 and give x. 1 Express 23*g - 35 - 7 - 25 - 34 in the form f*g + p and give f. 23 Express (2*w + 5 - 5)*(-733 + 183 + 26 - 159 + 2*w) in the form u*w + f + y*w**2 and give u. -1366 Express -29*m**2 + 111*m**2 - 8*m**4 - 3*m**2 + 8*m**2 + 2*m + 48*m**2 in the form d*m**3 + w + o*m**4 + h*m + g*m**2 and give h. 2 Rearrange 69*o - 17*o + 12*o + (o + o - 4*o)*(2 - 4 + 4)
{ "pile_set_name": "DM Mathematics" }
and give n. 0 Rearrange -502*w - 2*w**4 + 302126 + 302129 - 604254 - 2*w**2 - w**3 to the form s*w + u*w**2 + c*w**3 + k + h*w**4 and give k. 1 Rearrange -131 + 96 - 2*t**4 + 206*t**2 + 37 + 2*t to i + y*t**4 + f*t**2 + w*t + u*t**3 and give i. 2 Rearrange -135*s - 64*s - 12 - 243*s + 17 to i*s + b and give b. 5 Express -4*m**2 + 22 - 20 - 5*m - 16*m**2 + 23*m**2 in the form f + p*m**2 + h*m and give h. -5 Rearrange -o**3 - o**3 + 3*o**3 + (-8*o**2 + o**2 + 0*o**2)*(3348 - 3348 + 321*o) to b*o**2 + p + q*o**3 + m*o and give q. -2246 Rearrange 940*s - 11512*s + 4 - 4 to p + f*s and give f. -10572 Rearrange 5 + 65*l**4 + 19*l - 33*l**3 + 64*l**4 + 2*l**2 - 130*l**4 - 5 to the form g*l**3 + z*l**2 + v*l + n*l**4 + b and give v. 19 Express -10*c**3 + 46*c**3 - 1 - 3*c + 76*c**2 + 18*c**4 - 20*c**4 - 78*c**2 + c**3 in the form m*c**3 + n*c**4 + g + q*c**2 + v*c and give n. -2 Express (169*l + 457*l + 1993*l)*(-2 - 4 + 3) in the form d*l + f and give d. -7857 Rearrange 15*k + k**4 + k**4 - 23*k - 2*k**2 - 16*k + k**3 - 66*k to n*k**3 + s*k**2 + p + u*k + j*k**4 and give n. 1 Rearrange 117 - 6*o + 2*o**3 + 7*o + o**4 - 119 - 181*o**2 to the form i + m*o**3 + b*o**4 + k*o**2 + j*o and give j. 1 Express (-q + 0*q + 0*q)*(-2*q**2 + 5*q**2 - q**2) - q**2 + 5*q**3 + 57 - 57 as n*q + a + h*q**2 + k*q**3 and give h. -1 Rearrange 143*a - 33 - 31 + 99 - 30 to the form n + k*a and give k. 143 Rearrange 76 + 3*j - 35 - 12 to q*j + z and give q. 3 Rearrange 58*i + 80*i - 1 + 112*i - 24*i to t*i + p and give t. 226 Rearrange -2341*t**3 + 1048*t**3 - 1 + 1120*t**3 to the form g*t + a + b*t**3 + k*t**2 and give a. -1 Express (0*a - 4*a + a)*(1 - 4 - 1 + (2 + 5 - 6)*(-88 + 38 + 42)) in the form u + c*a and give c. 36 Express (-3 + 5 - 3)*(2*v - 4*v + 0*v) + (50*v + 44*v + 88*v)*(-9 + 1 - 3) as r + j*v and give j. -2000 Express 3*f**3 + 4761 - 4765 - 8*f**3 as k*f**3 + v*f + q + s*f**2 and give k. -5 Rearrange (-4*a + 5*a + 4*a)*(-475*a + 10*a**2 - 19*a**2 - 106 + 475*a) to the form x*a**3 + b + u*a + y*a**2 and give u. -530 Rearrange (1 - 27 + 2)*(-3*r + 3*r - 3*r + (0 + 1 - 2)*(-2*r + 2*r - r))*(-4*r**2 + 4*r**2 - 3*r**2) - 2*r**3 + 0 + 0 to f + w*r**3 + g*r + m*r**2 and give w. -146 Rearrange (13*n**4 + 7*n**4 + 7*n**4)*(2 + 13 - 1) - 6*n**4 - 23*n**2 + 23*n**2 to g*n**4 + h*n + a*n**3 + i + u*n**2 and give g. 372 Express (h - h - h)*(-10 - h + 10)*(42 - 36 - 70)*(6 - 2 - 1) as i*h + u*h**2 + o and give u. -192 Express -2967 + 22*w**2 + 36*w**2 + 5934 - 2961 - 10*w in the form i + a*w**2 + g*w and give i. 6 Express 5 - 5 + 2508*p + 2192*p + 931*p as n*p + h and give n. 5631 Express (0*i + 0*i - 3*i**2)*(7090 - 7074 - 4561) in the form u + d*i + v*i**2 and give v. 13635 Rearrange 4956*h + h**3 + 2*h**2 + 4962*h - 7*h**4 + 0*h**3 + 2 + 2*h**3 - 9915*h to p*h**3 + r*h**4 + u*h + c*h**2 + a and give u. 3 Rearrange -375 + 117 + 137 + 16616*y + 121 to the form f*y + i and give f. 16616 Rearrange (-3 + 4 - 2)*(-217 - 23*y**2 - 53657772*y + 53657772*y) to the form s*y**2 + a*y + l and give s. 23 Express (10*z + z - 3*z + (-15 + 4 - 2)*(22*z + 5*z - 2*z))*(-2*z + 2*z - 2*z) as r*z + q + i*z**2 and give i. 634 Express (0 + 0 + 12*x**2 - 3*x**2)*(2085 + 146*x + 66*x - 2084) as w + r*x**2 + b*x**3 + a*x and give a. 0 Rearrange 0 - 5 - 278748*y**3 + 278745*y**3 + 2*y**4 - 2*y + 12*y**2 to the form c*y + n*y**4 + w*y**2 + p + b*y**3 and give w. 12 Rearrange 58*p**2 - 8212*p**3 + 2*p + 8211*p**3 - 121*p**2 - 64*p**4 + 62*p**2 to the form d*p**2 + n*p + b*p**3 + a*p**4 + w and give d. -1 Rearrange 3 + 15*y**2 + 111*y**4 - 521414*y + 521414*y to the form r + w*y + l*y**2 + b*y**4 + z*y**3 and give b. 111 Rearrange -23*z**2 - 16*z**2 - 13*z**2 - 20*z**2 + 89 + 75*z**2 to f*z**2 + v + q*z and give v. 89 Rearrange (x - 2*x - x)*(-28021 + 4054*x + 28021) to l*x + g + b*x**2 and give b. -8108 Express 63*h**3 + 1 - 2*h**2 - 32*h**3 - 29*h**3 - 8*h**2 + 22*h as t + k*h + d*h**2 + b*h**3 and give t. 1 Express -3587*q + 4474*q + 2 + 1 + 4201*q as s + l*q and give s. 3 Express (-h - h + h)*(-3*h**2 - 2*h**2 + 4*h**2) + 3*h**3 - 3*h**3 - 3*h**3 - 2*h**2 - 1 - 788*h**3 + 684*h**3 + 0 as i*h**2 + d*h + v + k*h**3 and give k. -106 Express (-60 - 5 + 105)*(0*s + 0*s - s) - 2 + 2 - s + 1 + s - 1 as l + d*s and give d. -40 Express -400*t**2 - 9 - t**3 - 5 + 15 + 401*t**2 + t**4 - 299*t as x*t**4 + y*t**2 + h*t + z + s*t**3 and give y. 1 Rearrange 0*d**2 - d**2 + 2*d**2 + (d + 2*d + 3*d)*(-d + d - d) - 39274 + 39274 - d**2 + d to t*d**2 + n + k*d and give t. -6 Express 49*q + 48*q**2 + 95*q - 1 + 57*q - 103*q - 1 in the form u + a*q + r*q**2 and give u. -2 Rearrange -89*s**2 - 2*s**4 + 184*s**2 + 17 - s - 2*s**3 - 10*s**3 - 97*s**2 to the form i*s**4 + y*s**2 + z*s + w + g*s**3 and give y. -2 Rearrange -2253*i + 2869*i - 2 + 2 to j*i + f and give j. 616 Rearrange (-1 - 1 + 0)*((-21 - 61 - 2)*(-14*k - 5*k - 21*k) + k + 5 - 5) to the form g + w*k and give w. -6722 Rearrange -53 + 668*q**2 + 53 - 4*q + 77*q**2 + 313*q**2 to the form d*q + c + a*q**2 and give a. 1058 Express (2*x - 3*x + 2*x)*(-2*x + 7*x - 2*x) + 229*x**2 - 224*x**2 + 32*x**2 as m*x**2 + q + j*x and give m. 40 Express (-1 + 1 + l)*(0*l + 2*l - 4*l) + 22059302*l - 22059302*l - 304*l**2 as k + b*l**2 + z*l and give b. -306 Express (7*p - 4*p + 0*p)*(71*p - 158*p + 65*p)*(0 + 1 - 3)*(-2 - 4 + 4) as v*p + j + c*p**2 and give j. 0 Express (-16*r + 4*r + 4*r)*(420 + 215 - 34) in the form b + s*r and give s. -4808 Rearrange (-3 - 7 - 6)*(-3 + 4 + 0)*(4*t**3 - 4*t**3 - 2*t**3) + 78*t**3 - 147*t**3 + 72*t**3 + 9*t to p + x*t + g*t**2 + k*t**3 and give k. 35 Rearrange (-u + 0*u + 2*u)*(4 - 1 - 2)*(2*u**2 + 56 - 378 + 113 + 81*u) to b*u**3 + r*u + t + n*u**2 and give b. 2 Rearrange (3 - 3 - i)*(5524 + 9906 - 28618)*(-4*i**2 + i**2 + 4*i**2) to the form q*i**3 + m*i + s + u*i**2 and give m. 0 Express 2*k**4 + 38*k**3 - 137 - 567 - 5*k**2 - 40*k**3 - 2*k + 2*k**2 in the form t*k**4 + b*k + o*k**2 + r*k**3 + n and give t. 2 Express 0 + 6 + 336*z - 215*z**3 + 217*z**3 - 2 + 2*z**2 in the form f*z**3 + l*z**2 + b*z + d and give d. 4 Rearrange -q + 2 + 3*q - 3*q - 88*q + 99*q + 39*q + (2 - 2*q - 2)*(-6 + 3 + 4) - 4*q - 6*q + 0*q to the form t + i*q and give t. 2 Rearrange (-94*z - 108*z + 220*z)*(-25*z + z - 36*z) to t + d*z + g*z**2 and give g. -1080 Express 210*o - 51 + 78*o + 53 as z*o + v and give v. 2 Express (-3*y**2 - 2*y**2 + y**2)*(1 - 1 - y)*(-21 + 16 - 24)*(2 + 5 + 0)*(-3 - 1 + 5) in the form i*y**3 + t + l*y + q*y**2 and give q. 0 Express (k**2 - 1 + 1)*(-43*k**2 + 45*k**2 + 74*k**2 + (19 - 19 + 3*k)*(k + 5 - 5)) as c*k**2 + g + b*k**4 + t*k**3 + p*k and give b. 79 Express (3 - 8 + 23)*(i + 0*i + 0*i)*(2*i - 2 + 2) + (3123*i - 3123*i - 122*i**2)*(-4 + 3 + 0) in the form m + r*i + h*i**2 and give h. 158 Express -3*g - 2781*g**4 + 2783*g**4 + 12*g**3 - g**2 + 2*g**2 as r*g + a*g**2 + y + x*g**4 + n*g**3 and give a. 1 Express (4*m - 2*m - m)*(5211 + 10593 + 3092 + 24361 + 18041) in the form v + l*m and give l. 61298 Rearrange 7*q - 1764 + 19*q**4 + 763*q**3 + 1764 - 737*q**3 to the form p*q + s + u*q**3 + g*q**2 + z*q**4 and give p. 7 Express -30 - 24 + 28 - 4*a - 5*a - 2*a in the form i + h*a and give h. -11 Express -4*i**3 - 31 + 2*i**3 - 108*i**4 + 33 + i**3 + 2*i**3 as z*i + v*i**4 + l*i**2 + k + t*i**3 and give k. 2 Rearrange (80 + 184 - 115)*(0 + 0 - 2*k)*(5 - 4 + 38) to the form o + w*k and give w. -11622 Express 8*g + 11 - 51*g**2 + 82*g**2 + 32 - 17*g**2 - 18*g**2 as w*g**2 + m + r*g and give r. 8 Rearrange 2*i**2 - i + i + (-4*i + 6*i + i)*(3*i + i - 5*i) + 0*i + 0*i - 2*i**2 + 1854*i**2 - 1912*i**2 + 2*i - 3*i to the form o + f*i + x*i**2 and give f. -1 Express 906*z**3 + 2*z - 452*z**3 - z - 453*z**3 + z + 2*z**2 - 693 in the form a*z**2 + c*z + b + v*z**3 and give v. 1 Express -5*h**2 + 44 - 79 - 32*h + 104*h + 40 + 0*h**2 in the form z*h**2 + s + x*h and give x. 72 Express 7 - 8 + 3 - 3*x**3 - 45*x**3 - 23*x + 23*x + (3*x**2 - 2*x + 2*x)*(0*x + 0*x + 2*x) in the form u*x**2 + b*x**3 + n*x + r and give r. 2 Express -49*x**2 - 9*x**2 + 73*x**2 - 11*x**2 - 6*x**2 - 109 in the form h + f*x**2 + i*x and give h. -109 Express (101 + 83*h - 111 - 652*h - 453*h)*(0*h + 2*h + h) as x*h**2 + j*h + m and give x. -3066 Express -881*t +
{ "pile_set_name": "DM Mathematics" }
81 - 60. What is the tens digit of w? 2 Let w = -36 - -53. Suppose 11 = -2*n - w. What is the units digit of (-1 + (-1)/(-2))*n? 7 Let j be (-1)/(-3)*(1 - -86). Let d = j - 14. What is the units digit of d? 5 What is the tens digit of -2 + 2 + 45 + 0/(-2)? 4 Suppose k - 12 = -2*k. Let s(c) = -2*c - 4. Let i(q) = 2*q + 3. Let m(l) = k*i(l) + 3*s(l). What is the units digit of m(4)? 8 Suppose 2*r - 3*r + 28 = 0. What is the units digit of r? 8 Let s be 5/((-1 - 1) + 3). Suppose -a + 33 = 3*r - 4*a, s*a + 13 = -r. What is the units digit of r? 7 Let z(c) = -c**2 + 3. Suppose 2*m = m. Let b be z(m). Suppose -15 = -2*n - b*n. What is the units digit of n? 3 Suppose 45 = 4*k - 3. What is the tens digit of k? 1 Let i(m) = m**2 + 3*m - 1. Let n be -8*(3 - (-10)/(-4)). Let h be (n/8)/(1/10). What is the units digit of i(h)? 9 Let m(h) = -2*h + 10. Let q(n) be the second derivative of n**3/2 - 19*n**2/2 + 4*n. Let r(s) = -5*m(s) - 3*q(s). What is the units digit of r(-4)? 3 Suppose -4*x + 745 = w - 100, 425 = 2*x + 3*w. What is the units digit of x? 1 Let o = -13 - -14. Let y = 25 - o. What is the tens digit of y? 2 Let f(l) = -11*l**3 + 2*l + 1. Let b be 3*(30/(-9) + 3). Let q be f(b). Suppose -i = -0*i - q. What is the units digit of i? 0 Suppose 2*f + 2*k = 42, -3*f = -0*f - k - 75. Let t = f - 17. What is the units digit of t? 7 Let c(u) = 2*u - 4. Let l be c(3). Let z(p) = -p + 3*p + 2*p**l + 2*p**2 + p**3. What is the units digit of z(-3)? 3 Let u(i) = i**3 - 9*i**2 + 9*i + 11. Let w be u(8). Suppose 0*b + w = b. Let j = 28 - b. What is the units digit of j? 9 Let s be (-3 + (-7)/(-2))*60. Suppose 30 = 4*y - s. What is the tens digit of y? 1 Let a(d) = 3*d**2 + 9*d - 2. What is the units digit of a(-7)? 2 What is the tens digit of 11*(0 - (2 - 4))? 2 Suppose 2*o - 3*b = 10, 3*o + b = -2*b. Suppose 4*d = -k + 62, 7*d - o*d + 150 = 2*k. Suppose 5*c + g = 89, 2*g - 10 = 4*c - k. What is the units digit of c? 7 Suppose 7*n + 4*r = 5*n + 378, n + 4*r = 183. What is the units digit of n? 5 Suppose 5 = -p, 0 = -4*f + 3*p + p + 388. Let k = f + -50. What is the units digit of k? 2 Let z = -5 + -13. Let i be 9/z*(-1 + -51). Suppose -4*g - 2 = -i. What is the units digit of g? 6 Suppose -2*i - 16 = 3*h + 6, 2*i - 34 = 4*h. Let n be (12/h)/(1/(-2)). Suppose 2*m + 2*w - n = m, 0 = 3*w. What is the units digit of m? 3 Suppose t - 51 = -h, 2*h + 53 = t + h. What is the tens digit of t? 5 Suppose -3*f + 78 - 5 = -5*h, 3*f - 3 = 0. Let r = h - -35. What is the units digit of r? 1 What is the tens digit of (-1)/(4/6)*62/(-3)? 3 Let x(l) = 5 + l**2 - 3 + 10 + 0*l**2 - 7*l. Let o be x(8). Suppose -3*t + 2*i = -12 - 2, -o = -4*i. What is the units digit of t? 8 Suppose 0 = 2*o + b - 30, -b - 4*b - 6 = -2*o. What is the tens digit of o? 1 Let z(m) = -4*m + 6. Let j be z(5). Let q = j + 59. What is the units digit of q? 5 Suppose 0*t + 20 = 4*t. What is the units digit of t? 5 What is the tens digit of (74/7)/((-6)/(-42))? 7 Suppose 20 = -5*g + 215. What is the units digit of g? 9 Let f(g) = g**2 - g - 1. Let b be f(2). Let c be (-3 - -1*2) + 3. Let a = b + c. What is the units digit of a? 3 Let x be 1521/(-52)*16/(-6). Suppose -5*i + x = -2*i. What is the tens digit of i? 2 Suppose -36 = -7*h + 6*h. What is the tens digit of h? 3 Let a = 143 + -106. What is the tens digit of a? 3 Let w = 48 + 4. What is the units digit of w? 2 Suppose -m - m + 146 = 0. What is the units digit of m? 3 Let x(w) = -w**3 + 28*w**2 + w + 26. What is the tens digit of x(28)? 5 Let p be -3 + -1 + 4 - 3. Let z(d) = -4*d + 1. Let k be z(p). Let c = -8 + k. What is the units digit of c? 5 Let m(c) = c + 4. Let u be m(0). Suppose 4*r - 76 = -4*b, 0 = -5*r + 3*b - u*b + 83. What is the tens digit of r? 1 Let k(c) = -12*c + 4. Let s be k(-3). Suppose -l = 4*l - s. What is the units digit of l? 8 Let l(t) = t**3 - 2*t - 1. Let g be l(-2). What is the units digit of (-2 - g) + 4 - -2? 9 Suppose 4*v - 431 = -3*s - 0*s, -s = -4*v + 411. What is the hundreds digit of v? 1 Suppose 360 = 5*q - 0*q. What is the units digit of q? 2 Let c = -1 + 3. Suppose c = -2*r + 18. What is the units digit of r? 8 Let y be (2 - (1 + -1)) + -10. Let w = 0 - y. Suppose -4 - 2 = -3*j - 2*q, -w = -4*j - 3*q. What is the units digit of j? 2 Let d = -10 + 21. Suppose -3*u + 68 = d. Let q = u - 10. What is the units digit of q? 9 Suppose 0 = 3*a - 8*a + 10. Let c be a - ((-3)/(-3) - -7). Let v = c + 10. What is the units digit of v? 4 Let l(z) = z**2 - 2*z + 4. What is the units digit of l(6)? 8 Let p(c) = c**2 + c + 10. Let y(q) = -q**2 + 2*q + 4. Let f be y(3). Let i be (0/(-6))/(0 - f). What is the units digit of p(i)? 0 Let h(l) be the first derivative of l**4/4 + 5*l**3/3 + l**2 - 2*l + 3. What is the tens digit of h(-3)? 1 What is the tens digit of 130/8 + (-18)/(-24)? 1 Let v be (-4 + -1)/(-4 + 3). Suppose 0 = -2*y + 5*y + 3. Let s = v + y. What is the units digit of s? 4 Let x be (-7)/(3/(-2) + 1). Let p = x + -7. What is the units digit of p? 7 Suppose 0 = -4*a - 5*d + 285, -2*a + 39 = 2*d - 105. What is the tens digit of a? 7 Suppose 0 = 5*g - 7 - 3. Let i(z) = -z**2 + 3*z - 3. Let j be i(g). What is the tens digit of (-60)/4*j*1? 1 Let w(k) = -k**3 + 2. Let p be w(0). Suppose b - 6 = -p. Suppose a - 5*t + 17 = 0, 2*a - b = -t + 6. What is the units digit of a? 3 Let h be (1 + 22/2)/1. Suppose -2*b = c - 19, -b = -3*c - 8 - h. What is the tens digit of b? 1 Suppose 4*w + 2*q = 20, 2*q + 1 - 18 = -3*w. What is the units digit of w? 3 Let w(i) = i + 15. Let u be w(-7). Suppose 4*r - 82 = c - u, -r + 28 = -5*c. What is the units digit of r? 8 Let v(n) = -n**2 + 7*n. Suppose -2*f + 6*f - 28 = 0. Let t be v(f). Suppose 2*d + 2*d = 20, t = -4*o - 3*d + 19. What is the units digit of o? 1 Let s(w) = -w**3 - 13*w**2 - 13*w + 17. What is the units digit of s(-12)? 9 Let v(o) be the second derivative of o**5/20 - 5*o**4/12 - o**3/2 - 3*o**2 + 2*o. What is the units digit of v(6)? 2 Let a(h) = -23*h - 14. What is the tens digit of a(-7)? 4 Let a be (61/1 - -1)/(-2). Let m = a - -20. What is the tens digit of m/22 + (-41)/(-2)? 2 Let d = 33 - 16. Suppose d = 4*y - y + a, 0 = 5*a + 20. Let f(w) = 2*w - 10. What is the units digit of f(y)? 4 Let j = -35 + 58. What is the tens digit of j? 2 Let m(v) = 8*v + 1. Let o be 3/(-18) - (-14)/12. What is the units digit of m(o)? 9 Let c be (4 - 6)*1/1. What is the units digit of (-9)/((-21)/6 - c)? 6 Let p(r) be the third derivative of -r**4/12 - 11*r**3/6 + 10*r**2. What is the units digit of p(-14)? 7 Let s be 0/3 - -1 - 91. Let j = s - -36. What is the tens digit of j/(-5) + 2/10? 1 Let v = -5 - -7. Suppose -4*a + 17 = 4*i - 15, 0 = v*i. Suppose -2 = -p + a. What is the tens digit of p? 1 Suppose 2*w = 4*m + 5 - 19, -w = m + 1. Suppose 0*k - 40 = -m*k. Suppose 19 = 2*s + 3*x - 0*x, s - 2*x - k = 0. What is the tens digit of s? 1 Let p = -9 - -3. Let l = p - 2. Let h = l + 17. What is the units digit of h? 9 Suppose 6*c = 12*c - 900. What is the hundreds digit of c? 1 Let v = -31 + 60. What is the units digit of v? 9 Suppose -5*t + 5*a + 5 = 0, 3*t = 4*a + 5 - 1. Suppose t = -3*v + 5*z - 7, -3*v + 2*z + 1 = 11. What is the units digit of v/(-14) - (-108)/14? 8 Let q(s) = -s - 56. Let a be q(0). Let h = -33 - a. What is the units digit of h? 3 Let v(c) = 8*c**3 + 3*c**2 - c + 2. Let q be v(4). What is the units digit of q/15 - (-3)/(-15)? 7 Let q be 3/(-3)*-2 + 13. What is the units digit of (2/(-5))/((-1)/q)? 6 What is the units digit of 0 - (1 - 0) - -3? 2 What is the units digit of -2 + (-66)/(-4)*2? 1 Let c(l) = l**3 - 9*l**2 - 10*l. Let p be c(10). Suppose 186 = 4*h - 2*i, -2*i + p*i = 5*h - 246. Suppose 0 = 4*k - 8*k + h. What is the tens digit of k? 1 Let v = 15 - 14. Let a(t) = 19*t**3 + t**2 - t. What is the tens digit of a(v)? 1 Let z = 69 - 35. What is the tens digit of z? 3 Let d(f) = f**2 - 2*f + 2. Suppose -13 = 3*i - 5*k, -k + 6 = 4*i - 3*k. Let p = 0 + i. What is the tens digit of d(p)? 1 Suppose -68 = -4*w + w + 4*k, 2*w - 7 = -5*k. Let f = w - 14. What is the units digit of f? 2 Suppose 3*a + 3*c = c + 16, -3*c = -6. Suppose 0*d - 21 = 4*x - d, -5*d = -a*x - 25. Let o = x - -7. What is the units digit of o? 2 Let r(b) be the third derivative of b**6/120 - b**5/10 +
{ "pile_set_name": "DM Mathematics" }
+ 4*g - 8. Let l(c) = 2*n(c) + 9*z(c). Calculate l(b). -10 Let k = -3409 + 3418. Let t(d) = d**2 - 11*d + 5. Calculate t(k). -13 Let a(j) = j**3 - 3*j**2 - 4*j + 1. Suppose -12 = 2*p, 2*k = 4*p + p + 38. Calculate a(k). 1 Suppose -16 = -4*t, t - 4 + 0 = 2*d. Let g(k) = -23 - 36 - 22 - k**3 - k**2 + 74 - k. Determine g(d). -7 Let s be (-22140)/1620 - -1*14. Let w(p) be the first derivative of 5/2*p**2 - s*p**3 + 4 - 2*p. Determine w(4). 2 Let q(v) be the first derivative of -v**3/3 - 7*v**2 - 7*v + 8040. Let k = 20 - 33. Determine q(k). 6 Let c(r) be the second derivative of -r**5/20 - 5*r**4/12 - r**3/6 - r**2/2 + 9*r. Let s = -97 + 117. Suppose 9*x - 13*x = s. Give c(x). 4 Let b(t) be the first derivative of 7*t**3/3 - 2*t**2 - 94. Let x(y) = -361*y**2 + 209*y. Let f(u) = 209*b(u) + 4*x(u). Give f(1). 19 Let a(s) = 10*s**2 - 7*s - 18. Let u(f) = -20*f**2 + 13*f + 35. Let i(z) = 5*a(z) + 3*u(z). Let d(j) = 3*j**2 + j - 1. Let y(o) = -3*d(o) - i(o). What is y(9)? 6 Let u be 9/3*2/3. Let l(f) = 1. Let b(k) = -k - 4. Let g(m) = u*l(m) + b(m). Let z be 48/(-80) + (-1)/(15/36). What is g(z)? 1 Let t(b) be the first derivative of -b**2/2 + 5*b + 1. Suppose 184*i + 233*i = 2502. Calculate t(i). -1 Let j(o) = 12*o - 87. Let w be j(7). Let b(c) = c**3 + 3*c**2 + 9*c + 18. Calculate b(w). -9 Let u(t) = -t**3 + 2*t**2 - t + 1. Let s(v) = -2*v**3 - 10*v**2 - 8*v + 43. Let d(c) = s(c) - 4*u(c). Calculate d(9). 3 Let u(w) = w + 11. Suppose 0 = 11*m + 6*m - 306. Suppose -2*v - 39 = -5*r, -2*r - m = 4*v - 0*r. Give u(v). 4 Let i be ((-8)/(-14))/(1076/(-7532)). Let o(j) = -10*j - 15. Let m(z) = -2*z - 3. Let h(t) = -11*m(t) + 2*o(t). Give h(i). -5 Let b(a) = -41 + 5165*a - 5165*a + a**2. Determine b(-7). 8 Let g(i) be the second derivative of i**5/20 + 5*i**4/12 - 2*i**3/3 - 9*i**2/2 + 2*i + 86. What is g(-4)? 23 Let r(m) = -15*m - 27. Let c(t) = 16 - 4395*t + 4401*t - 5. Let y(v) = -12*c(v) - 5*r(v). What is y(0)? 3 Let s(q) be the first derivative of q**6/180 - q**5/40 + q**4/12 + 16*q**3 - 62. Let w(j) be the third derivative of s(j). Give w(-3). 29 Let w(f) be the third derivative of -f**8/6720 - f**7/840 - f**6/720 + 29*f**4/24 + 2*f**2 - 44*f. Let u(s) be the second derivative of w(s). What is u(-2)? -2 Let s(x) = -x**3 - 5*x**2 + 15*x + 24. Let a = -4431 - -4424. What is s(a)? 17 Let y = 825871 + -825877. Let q(i) = -i**3 - 7*i**2 - 8*i - 2. Let g(m) = 2*m**3 + 14*m**2 + 17*m + 5. Let f(v) = 3*g(v) + 7*q(v). Determine f(y). -5 Let v(j) = -j**3 + 6*j**2 + 3. Let b(z) be the first derivative of -3*z**4/4 + 6*z**3 + z**2/2 + 8*z + 198. Let n(q) = -2*b(q) + 7*v(q). Calculate n(6). -7 Let v(x) = 15*x**3 + x**2 + 2*x + 1. Let b(r) = -r**3 + 2020 + 3*r**2 - 2060 - 13*r + 0*r**3 + 2*r**3. Let p be b(-3). Determine v(p). -15 Let g(z) = -695*z + 1 + 1402*z - 2 - 709*z. Let v = 5 + -5. Calculate g(v). -1 Let m(v) = v**3 + 6*v**2 - 2. Let g = 64 - -22. Suppose -4*k - 4*r + 2*r + g = 0, -3 = -3*r. Let d be k/(-3) + 3 + (-3 - -1). What is m(d)? -2 Let n(q) = 1 + 4 - 1 - 10906192*q + 10906204*q. Let l(j) = -j**3 + 7*j**2 - 7*j + 2. Let z be l(6). What is n(z)? -44 Let j(n) = -n**2 - 30*n - 30. Let t(l) = 45*l**2 - 677*l + 1. Let h be t(15). Determine j(h). -1 Let x(p) = 6*p + 31. Let c be x(-4). Suppose -5*g + c*g = 2*t - 38, 3*g = -4*t + 55. Suppose -k + 5*k = t. Let j(i) = -i**2 + 3*i + 1. Give j(k). -3 Suppose -4*g + 14 = 2*r, -3*r - g = -2*r - 4. Let m(s) = -r - 18*s**2 - 14*s + 11*s + 13*s**2. What is m(-1)? -3 Let k(t) be the third derivative of -t**6/120 + t**5/4 + 3*t**4/4 - 3*t**3 + 1127*t**2. Calculate k(16). 14 Let l be (-30)/9*60/50. Let j(g) = -3*g + 4. Let t(z) = 4*z - 6. Let h(x) = -7*j(x) - 5*t(x). Calculate h(l). -2 Let u(m) = -4*m + 1. Let g be u(-1). Let k(x) = -5*x + 0*x - g + 2*x + 8. Let t(q) = -10*q + 9. Let i(l) = 14*k(l) - 4*t(l). Calculate i(7). -8 Let u(v) be the second derivative of -1/12*v**4 + 7/2*v**2 - 309*v + 0 + 1/6*v**3. Calculate u(4). -5 Let g(n) = -n**2 - 3*n. Let f(d) = 1. Let x be 7/21 - (-4)/3*2. Suppose 0 = -q - c - 1, -3*q + c = x*c. Let u(p) = q*f(p) + g(p). Determine u(-2). 4 Let x(l) be the first derivative of -l**6/360 + 3*l**5/40 - l**4/8 - 101*l**3/3 - 9. Let s(j) be the third derivative of x(j). What is s(8)? 5 Let j(z) = 11*z + 104. Let n(k) = -40*k - 419. Let t(c) = 11*j(c) + 3*n(c). Give t(0). -113 Let c(o) be the third derivative of -o**6/120 + 4*o**5/15 - 5*o**4/8 - 13*o**3/6 + 325*o**2. Suppose 20*w + 44 - 344 = 0. Determine c(w). -13 Let q(o) = 188*o - 374. Let i(t) = 9*t**2 + 16*t - 2. Let m be i(-2). Determine q(m). 2 Let i = -14976 - -14998. Let b(w) = -w**3 + 20*w**2 + 44*w - 10. What is b(i)? -10 Let v(s) be the first derivative of 40 - 1/2*s**2 - 12*s. Calculate v(-9). -3 Let t(j) = j**2 - 13*j - 63. Let b be t(-4). Let i(l) = 2*l - 4. Let a = 7 - 8. Let w(o) = 1. Let v(r) = a*i(r) + 2*w(r). Give v(b). -4 Let b = -92 - -87. Let z(n) = -n**2 - 4*n + 14. Let i be z(-6). Let t(r) = -i*r - 1 - 1 + 0 + 3*r. Calculate t(b). -7 Let k(h) = -h - 4. Let q be k(-9). Let a(i) be the second derivative of 1/3*i**3 - 3*i + 7 - 7/2*i**2. What is a(q)? 3 Let n be (-2 + 0 + 0)*675/(-50). Let b(q) = -n + 12 + 3*q + 23. What is b(-4)? -4 Let a(l) = -11*l**3 - 4*l**2 - 4*l + 50. Let x(u) = 13*u**3 + 3*u**2 + 3*u - 60. Let v(r) = -6*a(r) - 5*x(r). Calculate v(-8). -8 Let r = 11 - 9. Suppose 5*h = b + 5, r*b = -0*h - 2*h + 2. Let l(o) = 62*o + 3*o**2 + 1 - 63*o - o**3 - 3*o**3 - 4*o**2 + 0*o**3. Calculate l(h). -5 Let j(x) = x**3 - 52*x**2 - 110*x + 82. Let u be j(54). Let a(s) = 2*s**3 + 50*s**2 - 52*s. Give a(u). 0 Suppose -10*g - 3 = -13*g. Let y(z) = z. Let v(i) = i**2 - 11*i - 2. Let t(w) = g*v(w) + 6*y(w). Let c = -3 + 9. Calculate t(c). 4 Let s(d) be the first derivative of d**2/2 - 14*d + 2. Let t(i) = 1. Let p be (2 + 1)/(336/224). Let v(q) = p*t(q) - s(q). Give v(0). 16 Let i(a) = a**3 - 6*a**2 - 3*a. Let g = -256 + 254. Determine i(g). -26 Let s(g) = -g**3 - 42*g - 17*g**2 - 80*g + 142*g + 20. Give s(-18). -16 Let q(k) = 6*k**2 + 2*k - 13. Let a = 3440 - 3444. Give q(a). 75 Let s(b) = b**3 + 8*b**2 - 10*b - 116. Let o be s(-5). Let g(n) be the first derivative of n + o + 4*n**2 - 1/3*n**3. Determine g(8). 1 Let f(b) = 2*b**2 - 11*b + 19. Let l(y) be the second derivative of -y**4/12 + 5*y**3/6 - 9*y**2/2 - 2*y - 3. Let d(a) = 2*f(a) + 5*l(a). Calculate d(4). -11 Suppose 0 = 5*z - 5*k - 9 + 14, 4*z + 5*k = -22. Let n(h) = 3*h**2 + 5*h - 1. Give n(z). 11 Let r(a) = -20*a**2 + 3*a + 61. Let u(j) = -62*j**2 + 8*j + 173. Let w(z) = -17*r(z) + 6*u(z). Calculate w(1). -34 Let q be 1*12/(-18)*(-537)/(-2). Let p = q + 175. Let n(w) = w**3 + 4*w**2 - 2*w - 2. Calculate n(p). 6 Let c(d) be the first derivative of -1/4*d**4 + 7/2*d**2 - 80 - 4/3*d**3 + 6*d. What is c(-5)? -4 Let p be (-4)/(16/4) - -3. Suppose p*u - 8 = -0*u. Let x(d) = 8*d - u*d - 6*d. Give x(-2). 4 Let v(m) = 6807*m - 8 + 1 - 6809*m. Calculate v(-6). 5 Let n(k) = -662 + 2055 - 681 - 689 + 2*k. What is n(-18)? -13 Let p(m) = -3*m - 44. Let c be 324/(-864) - (-342)/16. What is p(c)? -107 Let a be ((-100)/(-85))/10 + 500/85. Let m(k) = -7*k + 43. What is m(a)? 1 Let v(a) = 33 + 12*a + 28 + a**2 + 31 + 29 - 113. What is v(-9)? -19 Let f(d) = d**2 + 33*d + 222. Suppose q = -4*k - 58 + 45, 5*q + 5*k = -50. Determine f(q). 6 Let r(v) = 3*v**3 - 127*v**2 + 42*v + 5. Let u be r(42). Let l(a) be the first derivative of -a**3/3 + 5*a**2/2 - 2*a - 1. Give l(u). -2 Let l(a) = a**2 - 16*a + 21. Let h be l(12). Let t = 29 + h. Let k(p) = 3 + 6*p - 7 - t*p - 5*p. Give k(4). -8 Let n(r) = -3*r + 2*r - r**3 - 2*r + 5*r**2. Suppose -22*i + 27*i = -205. Let w = 45 + i. Give n(w). 4 Let g(s) = -s**3 - 9*s**2 - 19*s - 31. Let m be g(-7). Let o(y) = y + 7. Let q(f) = -4*f - 12. Let h(d) = -o(d) - q(d). Give h(m). 17 Let q(f) = -3*f - 21. Let y = 8564 - 8559. Determine q(y). -36 Let t(c) = 5*c**3 + 3*c**2 - 3*c + 8. Let n(l) = -4*l**3 - l**2 + 2*l - 5. Let m(q) = 4*n(q) + 3*t(q). Calculate m(5). -1 Let a(w) be the first derivative of 25*w + 141 - 3/2*w**2. Give a(12). -11 Let q(v) = -v**2 - 38*v + 210. Let l = 22908 - 22951. Calculate q(l). -5 Suppose -3*i + 3*w = 14 - 41, -4*i + 2*w + 32 = 0. Let b = 30 - 28. Let o(l) = -3*l**2 - 11*l - 2*l**b + 2 + 4*l**2 + 18*l. Calculate o(i)
{ "pile_set_name": "DM Mathematics" }
of -2*v**3 - v**3 + 2*v**u + 0*v**3 + v**2 wrt v? -6 Let p(a) be the second derivative of 7/6*a**4 + 1/3*a**3 + 0 + 0*a**5 - 17/21*a**7 + 30*a + 0*a**2 + 0*a**6. What is the third derivative of p(c) wrt c? -2040*c**2 Let o(r) = r**2 + r + 1. Let h(n) = -n + 9. Let g be h(10). Let y(a) = -9*a**2 - 2*a + 18. Let z(f) = g*y(f) - 2*o(f). Differentiate z(d) with respect to d. 14*d Let a(g) = 2*g**2 + 4*g + 3. Let z be a(-2). Let i be z + -2 - (-1 + -3). What is the first derivative of -6*m**4 + i*m**4 + 2*m**4 - 14 wrt m? 4*m**3 Let j(g) be the first derivative of 637*g**5/5 - g**3/3 - 162*g + 259. Find the third derivative of j(s) wrt s. 15288*s Let m(s) be the first derivative of -s**9/378 - s**5/60 + 2*s**3/3 - 7. Let g(z) be the third derivative of m(z). What is the second derivative of g(a) wrt a? -160*a**3 Let y(o) be the third derivative of -29*o**5/12 - o**4/12 - 77*o**3/6 + 37*o**2 - 2*o. What is the second derivative of y(d) wrt d? -290 Let p(r) be the first derivative of 6/5*r**5 + 10 - 6*r + 0*r**2 + 0*r**3 + 0*r**4. Differentiate p(a) wrt a. 24*a**3 Let n(v) be the third derivative of 42*v**5/5 - 587*v**3/6 - 42*v**2 - 3. Differentiate n(l) with respect to l. 1008*l Let h(c) = -c**3 + 6*c**2 + 3*c - 11. Let k(v) = 2*v**2 - 4*v. Let x be k(3). Let s be h(x). Find the third derivative of 8*j**3 + 0 + s*j**2 + 3 - 3 wrt j. 48 Let u(m) be the second derivative of -49*m**5/10 - 135*m**2/2 - 26*m - 4. What is the first derivative of u(n) wrt n? -294*n**2 Suppose -26 = -5*v + 3*h - 4*h, -3*v + 13 = -2*h. What is the second derivative of u**5 - 2*u**5 - 17*u + v*u + 0*u**5 wrt u? -20*u**3 Find the first derivative of 85 - 166 - 68*x + 58 wrt x. -68 Find the third derivative of -8*s**4 - 3*s**4 + 15*s**5 + 8*s**2 - 43*s**2 + 10*s**4 - 2 wrt s. 900*s**2 - 24*s Let w(b) be the first derivative of 2*b**6 - 4*b**3/3 - 11*b**2/2 - 11*b + 5. What is the second derivative of w(l) wrt l? 240*l**3 - 8 Let x(s) = 4*s**3 + 8*s**2 - 8*s + 10. Let l(t) = t**3 - t**2 + t. Suppose -2*p - 5 = -3. Let j(n) = p*x(n) - 8*l(n). Differentiate j(y) with respect to y. -36*y**2 Let h(n) = 5*n**2 - 77*n - 487. Let g(f) = -4*f**2 + 88*f + 487. Let l(x) = 5*g(x) + 6*h(x). Differentiate l(r) with respect to r. 20*r - 22 Let a(w) be the first derivative of 0*w + 25/2*w**2 - 13/5*w**5 + 0*w**4 - 7 + 0*w**3. Find the second derivative of a(x) wrt x. -156*x**2 What is the third derivative of -67*k**3 + 4*k**6 + 44*k**3 - 4*k**2 - 12*k**2 wrt k? 480*k**3 - 138 Let i(a) = -23*a**3 + 58*a + 5. Let j(s) = 76*s + 8 - 35*s**3 + 17*s - 6*s. Let t(w) = 8*i(w) - 5*j(w). Find the second derivative of t(d) wrt d. -54*d What is the second derivative of 75*k**5 + 2595*k**4 - 2595*k**4 + k + 15 wrt k? 1500*k**3 What is the first derivative of 345*z**3 - 189 - 317*z + 317*z - 134*z**3 wrt z? 633*z**2 Let u = -7 - -6. Let b = u + 5. What is the second derivative of -f**b - 1 + 2*f + 2*f + 1 wrt f? -12*f**2 Differentiate 4 + 75 + 96*c - 34*c + 14 wrt c. 62 Suppose 5*z + 3 = 5*l + 28, 5*l + 2*z + 60 = 0. Let i be (-10)/(-25) - 56/l. What is the third derivative of -v - 3*v**3 - 5*v + 4*v**2 + i*v wrt v? -18 Let d = -35 - -43. What is the third derivative of -3*z**2 - 10*z**2 - d*z**4 + 16*z**2 wrt z? -192*z Let l(s) = 137*s**4 - 3*s**2 - 561*s. Let h(p) = -276*p**4 + 5*p**2 + 1123*p. Let x(a) = -3*h(a) - 5*l(a). Find the second derivative of x(t) wrt t. 1716*t**2 Differentiate 328*h**4 - 40914 - 81*h**4 + 40881 with respect to h. 988*h**3 Let y(f) be the first derivative of -5*f**2 + 0*f + 22 + 0*f**3 + 13/4*f**4. What is the second derivative of y(g) wrt g? 78*g Suppose l + 3*l = 5*s + 92, 2*s + 69 = 3*l. What is the second derivative of l*j - 15*j - 18*j - 37*j**4 wrt j? -444*j**2 Let i(l) be the second derivative of -31*l**7/42 - 5*l**4/2 + l**2/2 - 101*l. Find the third derivative of i(s) wrt s. -1860*s**2 Let y(v) be the third derivative of v**9/7560 + v**6/45 - 4*v**5/15 - 6*v**2. Let k(f) be the third derivative of y(f). Differentiate k(a) with respect to a. 24*a**2 Let r(g) be the first derivative of g**2/2 + 12*g + 4. Let o be r(-10). Find the second derivative of -3*p**o - p - 3*p - 5*p**2 + p wrt p. -16 Let h(z) be the second derivative of -4*z**5/15 - 3*z**3 + 3*z**2 - 13*z. Let p(x) be the first derivative of h(x). Find the first derivative of p(m) wrt m. -32*m Let y(j) = j**3. Let o(t) = -78*t**4 + 2*t**3 - 122. Let c(i) = o(i) - 2*y(i). Differentiate c(z) with respect to z. -312*z**3 Find the second derivative of 6 - 2*d - 50*d**3 - 2*d - 2*d + 8*d wrt d. -300*d Let l be (8/(-20))/(2/(-20)). Suppose 12 = 2*w + l. What is the third derivative of -4*h**w - 8*h**2 - 5*h**4 + 2*h**2 + 4*h**2 wrt h? -216*h Let d(r) be the first derivative of 44*r**5 - 301*r - 58. Find the first derivative of d(b) wrt b. 880*b**3 Let t(j) = -j**2 + 6*j + 3. Let a be t(6). Differentiate -f**3 - 5*f**a + 0 - 4*f**3 + 5 with respect to f. -30*f**2 Let r be (-5)/(-5)*10/2. What is the third derivative of 3*x**3 - 4*x**3 - 11*x**2 + r*x**3 - 5*x**3 wrt x? -6 Suppose 0 = -4*h - 0*h + 80. Suppose h = z - 5*w, -z - 2*w + 0 = 1. What is the second derivative of -7*k**3 - z*k + k + 5*k + 4*k wrt k? -42*k What is the derivative of 214 + 49*h**4 + 19*h + 13*h - 30*h wrt h? 196*h**3 + 2 Suppose 4*f = 4 + 16. What is the second derivative of -19*o**f + 11*o**5 - 14*o + 7*o**5 wrt o? -20*o**3 Let k(r) = r**3 + 9*r**2 + 8*r + 2. Let y be k(-8). Suppose -5*h + 4 + 1 = 0. Find the first derivative of -h - d**2 + 5*d**y - 3*d**2 - 4*d**2 wrt d. -6*d What is the third derivative of -3*v**6 + 7*v**2 - 8*v**6 - 6 + 2*v**4 - 2*v**4 wrt v? -1320*v**3 Let p(m) = m**2 - 3*m + 2. Let r be p(3). What is the second derivative of 3*f**2 - 3*f**r + 10*f - 12*f**4 + 0*f**4 wrt f? -144*f**2 Suppose 18 = b + 2*b. Let p be 2/b + (-28)/(-6). What is the second derivative of -2*j + 5*j**p + 2*j + 5*j wrt j? 100*j**3 Find the second derivative of -12*s**5 + 17*s + s**5 - s**3 + 32*s wrt s. -220*s**3 - 6*s What is the third derivative of -52*l + 100*l + 281*l**2 + 245*l**2 + 173*l**3 - 48*l wrt l? 1038 Let g(w) be the second derivative of 0 - w**6 + 5*w + 0*w**5 + 0*w**2 + 0*w**4 + 11/3*w**3. Find the second derivative of g(r) wrt r. -360*r**2 Let z = -386 + 389. Suppose -1 + 3 = j. Find the third derivative of -1 - j + 11*h**6 + z + 3*h**2 wrt h. 1320*h**3 Suppose -3*i + 9 = 4*r - 0*i, -4*r + 3*i = -39. Let w = 8 - r. Find the third derivative of 3*u**4 - 6*u**4 - 3*u**w - u + u wrt u. -72*u Suppose 3*w - 64 = -22. Let k = w + -9. What is the second derivative of -3*m + 60*m**4 - 60*m**4 + 2*m**k wrt m? 40*m**3 Let o(d) = -2*d**2 - 3*d. Let b(r) = 141*r**2 - 135*r. Let u(w) = -b(w) - 5*o(w). What is the second derivative of u(f) wrt f? -262 Let d(j) be the first derivative of 0*j**4 - 23/5*j**5 + 41*j - 1/3*j**3 + 0*j**2 + 53. Differentiate d(v) with respect to v. -92*v**3 - 2*v Let j(m) be the second derivative of -36*m**5/5 + 65*m**3/3 - 29*m - 1. What is the second derivative of j(x) wrt x? -864*x Let y(c) be the third derivative of -14*c**6/15 + 19*c**3/3 - 65*c**2. What is the derivative of y(s) wrt s? -336*s**2 What is the third derivative of 44*b**4 - 433*b**4 + 45*b**4 + 4*b - 84*b**4 - 229*b**4 + 9*b**2 wrt b? -15768*b Let w(i) be the third derivative of -61*i**4/24 + 211*i**3/6 + 26*i**2. Find the first derivative of w(f) wrt f. -61 Let d(b) = -3201*b**3 + 355*b**2 + 11*b + 20. Let x(g) = 641*g**3 - 71*g**2 - 2*g - 4. Let r(f) = 2*d(f) + 11*x(f). Find the third derivative of r(j) wrt j. 3894 Let j(m) be the second derivative of -21*m**3 - 100*m**2 + 57*m. Differentiate j(w) wrt w. -126 Let a = -28 + 30. Find the third derivative of 7*v**2 + 0*v**5 + 3*v**a - 2*v**5 wrt v. -120*v**2 Let s(o) = o**3 - 8*o**2 + 8*o - 5. Let j be s(7). Let m = 0 + j. What is the derivative of 4 - 4*f**m + f**2 - 11 wrt f? -6*f Find the first derivative of -482 + 45*v - 498 + 1003 wrt v. 45 Let q(t) be the second derivative of -t**8/1120 - t**5/30 - t**4/4 + 7*t. Let j(i) be the third derivative of q(i). Find the first derivative of j(h) wrt h. -18*h**2 Let a(d) be the third derivative of -39*d**6/40 - d**4/4 - 55*d**2. Find the second derivative of a(p) wrt p. -702*p Let u(s) be the third derivative of s**9/504 + s**6/40 + 39*s**5/20 - 2*s**2
{ "pile_set_name": "DM Mathematics" }
63 Evaluate (-2840)/(-7810)*(-121)/99. -4/9 What is (250/(-6))/(-1)*(12/3)/((-190)/(-57))? 50 What is 6/(-5)*(-1278)/(-213)*4/(8/(-5))? 18 Evaluate (2/7)/((-408)/(-68)). 1/21 What is the value of -5*((544/(-1751))/(-16))/(10/2)? -2/103 Calculate 2*(-4)/288*-8*(-567)/(-252). 1/2 Calculate 5/114*(-55)/(94600/516). -1/76 Calculate (2*(-6)/8)/((-278082)/52968). 2/7 Calculate (288/30)/16*-188*(-70)/84. 94 Evaluate ((31376/(-2590))/53)/(2/(-7)). 4/5 What is 55*2867*(-274)/(-459635)? 94 (68456/(-3311559))/(3/27*-2) 4/43 What is the value of 26/(-5)*(-202035)/13469? 78 (73/3212*44)/(1/(-25)) -25 What is ((-3)/68)/((5/32*6)/(2360/1888))? -1/17 What is ((-265)/(-1272)*64/5)/(4/(-18)*3)? -4 Evaluate ((-36)/40*-4)/((-1300)/(-3250)). 9 What is the value of 101/((-4040)/(-28))*1/((-14)/16)? -4/5 Calculate (314880/(-152192))/(1/((-87)/6)). 30 What is the value of (310695/59180)/((-14)/40)? -15 What is the value of 99/(-3663)*592/8? -2 What is the value of (3/10998*-26)/((-2)/(24/2))? 2/47 Evaluate -3*109/1*(-67)/201. 109 Calculate ((-2)/(-9)*63*(-4)/(-490))/((-6)/28). -8/15 Calculate (232/(-58))/(((-14)/18)/7). 36 Evaluate ((-21)/504*32)/((-7)/((-189)/6)). -6 (-116)/(-87)*(-430)/(-344) 5/3 Calculate (2727/6)/9*((-8)/(-6))/((-1190)/(-1785)). 101 Calculate (2/5)/(15/(47775/(-728))). -7/4 What is (30/27)/(-1)*16920/(-376)? 50 What is (17/(-221))/(10/65)*(20*5)/1? -50 What is the value of (((-584)/(-12702))/(-1*2))/(3/27*3)? -2/29 ((-68)/(-34))/((-3)/(-2)*44)*48/(-2) -8/11 Calculate 1/(8/(-864)*-12*-1). -9 Evaluate (-52986)/158958*(-3)/(15/2). 2/15 Evaluate ((-6)/4)/(((-9)/56)/(58014/6153)). 88 Evaluate (-18)/(-104)*(16/648*18)/((-4)/6). -3/26 What is ((-13540)/(-33850))/(3*(-2)/465)? -31 Evaluate (-189)/(-63)*4*(-11)/198*33. -22 Evaluate (((-6)/24)/(((-5275)/(-8))/(-5)))/((-7)/35). -2/211 Evaluate ((-66)/1485*-423)/(56/(-35)*3/(-12)). 47 Evaluate ((-47)/((-1786)/171))/45. 1/10 (12/(240/(-50))*8/(-5))/(56/(-560)) -40 ((-128)/(-1))/((-161)/(23506/292)) -64 What is 1/(-3)*2155/2155? -1/3 What is the value of 36/40*(-245)/147*(-192)/9? 32 What is the value of (-105)/(-700)*(-8)/(-2)*(-266)/21? -38/5 Evaluate (-1560)/26*(-36)/((-66528)/42). -15/11 (-6*(-119)/(-252))/(34/136) -34/3 Calculate 4/176*-12*14/42. -1/11 What is ((2/4)/((-59)/177))/(213/4544)? -32 Calculate 44/332*(-234)/1287. -2/83 Evaluate ((-1640)/1)/82*23/(-4). 115 Calculate (1652/(-649))/(27/((-35640)/105)). 32 Calculate 2*(-186)/(-248)*6/3. 3 -5*(-1)/((850/(-15))/((-24)/18)) 2/17 Calculate (-11727)/(-5212)*60/(-18)*12/(-435). 6/29 ((-20)/(-18))/(1416/(-2124)) -5/3 What is the value of (75/45)/((-91)/(-1170)*-25)? -6/7 Evaluate ((-2106)/297)/13*(-1)/(-24). -1/44 Evaluate 34/(-34)*55*((-42)/10)/7. 33 Calculate ((-69)/184)/(1/(-20))*-37*(-21)/85470. 3/44 (5551/(-19215))/((-39)/(-18)) -2/15 ((-10836)/1935)/((-16)/(-160)) -56 What is the value of 8480/(-560)*14/4? -53 Evaluate (((-231)/6)/(-11))/(53/15582*-21). -49 251/1004*(40/90)/(6/9)*-456 -76 84548/2757*(-3)/2 -46 What is the value of 40/6*15/2*(-24)/(-25)? 48 7/(-8)*50*63/4410*18/(-1035) 1/92 What is ((-222)/((-296)/8))/((-192)/6)? -3/16 Calculate (-7)/((-280)/928)*(-45)/18*2/(-20). 29/5 Evaluate ((-40992)/(-252))/(-122)*(-6)/(-4). -2 Calculate 5/(30/(-57))*(-684)/361. 18 Evaluate ((-2)/12)/(2/30*(-325)/5590). 43 Calculate ((-6067)/345819)/((-8)/18*(-6)/32). -4/19 What is the value of (6/2)/(36/((-48)/(-8))*15/120)? 4 What is (-3)/(3/5)*-646*(-228)/(-7752)? 95 Evaluate 8*3/(-18)*285/(-10)*1. 38 What is the value of -6*(-4)/18*(-62204)/(-559836)? 4/27 What is (-2136)/51264*1/(-6)*8*1*1? 1/18 Evaluate (-14)/(-52)*41/(29848/4160). 20/13 (-1247410)/25264*(-6)/15 79/4 Calculate ((738/(-3321))/(4/6))/(37/18). -6/37 What is 1/((-8)/8)*48/(-80)? 3/5 What is (-10)/35*((-336)/240)/(2/(-2))? -2/5 Calculate (4/(-27))/(1*(-28)/252*1). 4/3 Evaluate ((-246)/(-861))/((-6)/7)*(-249)/12*-12. -83 ((990/(-24))/11)/(-3)*((-255)/25)/17 -3/4 What is the value of 342/(-8)*7/(84/16)? -57 What is the value of (-120)/88*(-25740)/(-1170)? -30 6/208*((-30589)/(-507))/(-181) -1/104 What is the value of (1639/(-298))/((-53)/318)? 33 (-1485)/(-825)*(-5)/(-18)*-34 -17 Evaluate ((-8)/12)/(((-140)/(-1029))/(46/161)). -7/5 Evaluate -18*((-729)/(-972))/((-3)/(-16)*3). -24 What is ((-1440)/(-312))/((-48)/312)? -30 Calculate 144/54*15/(-3280). -1/82 What is the value of ((-19)/(228/(-40))*(-1)/(-5))/(13/117)? 6 (60/(-3))/((-6*1/2)/((-54)/(-12))) 30 Evaluate ((-15)/(765/(-272)))/(60/(-36)*1). -16/5 What is the value of 1*369/(-410)*(-15)/72? 3/16 Evaluate 952/(-46512)*-19*(-2)/154*-4. 2/99 What is the value of (1/(-3)*(-372)/(-248))/(6/(-4))? 1/3 Evaluate (-21492)/(-3184)*(-1)/(-36). 3/16 ((-4)/(-13))/(12208/79352) 2 What is (-158)/((-100)/(-30)*(5/((-325)/156))/(-4))? -79 Calculate ((-657228)/(-4680))/383*(-8)/22. -2/15 Calculate 180/24*4/(-20)*(-32200)/(-1050). -46 What is the value of (128/3*(-2)/(-4))/((-292)/(103368/118))? -64 Evaluate 3/(-12)*(-6612)/87. 19 Calculate (1008252/(-80020))/((-14)/(-30)). -27 Calculate 4/(((-294)/189)/(-14))*(-35)/21. -60 What is ((-798)/(-45))/(4928/21120)? 76 What is (5/(-345))/(-10*15/2700)? 6/23 Calculate ((253/88)/23)/((-494)/(-228))*(-1)/2. -3/104 What is (52/(-1144))/(690/(-132))? 1/115 Evaluate 33/(-22)*(-16)/(-30)*5*(-2)/(-444). -2/111 What is the value of ((-1)/29*35/(245/7))/(3/6)? -2/29 Calculate (105/(-1750)*-25)/(((-1)/1)/2). -3 (12*(-4)/(-18))/(2240/(-672))*215/2 -86 -50*(-264)/44000*-280 -84 Evaluate (150/(-1225))/(38/133*2). -3/14 What is the value of (-20*14/35)/((-70)/(-280))? -32 (174/319)/(81/2079) 14 Evaluate (42/(-104))/(363*(-138)/(-267168)). -28/13 Calculate 75*((-682776)/8100)/(-58). 109 What is the value of (48/(-20))/(-2)*1*2/2? 6/5 Evaluate (16/86)/(5/(-1)*(-4804)/6005). 2/43 Evaluate ((-5)/4)/(-5)*468*(-12)/(-27). 52 ((-1)/(8/47))/((-1869)/(-14952)) -47 What is the value of (((22/(-3))/11)/((-56)/126))/((-236)/8)? -3/59 Evaluate 47424/15504*(-68)/(-8). 26 ((-15)/3*483/70)/((-42)/(-7)) -23/4 ((-6)/69)/((-11)/((-1265)/(-10)))*55 55 What is 18*14/2*137/(-411)? -42 What is the value of ((-4)/(-40))/(-6*(-5)/(-100))*114/(-2)? 19 Calculate (-42*144/18144)/(2/36*-29). 6/29 Evaluate -8*10/((-1800)/81)*(-20)/4. -18 What is ((-1584)/(-96))/(1573/156)? 18/11 (2/2*-2)/(((-48)/156)/((-40)/1885)) -4/29 Evaluate (1/2)/(((-14)/((-392)/4))/((-126)/196)). -9/4 What is the value of 13/(1365/(-6))*(616/110)/((-18)/30)? 8/15 Evaluate ((-42)/28)/((-3)/(-3))*(-550)/(-15). -55 What is the value of (-7)/(-2*(-9345)/356)? -2/15 ((-608)/(-12))/(-19)*(-9)/(-552) -1/23 (9009/17654)/33*8/(-6) -2/97 (-55950)/13428*16/(-75) 8/9 Evaluate (42/(-28))/((-962)/(-78884)). -123 (18809/(-137037))/((-14)/(-4)) -2/51 Calculate ((-72)/5)/(104160/585900). -81 Evaluate (6/1)/(16/(-4))*67/(199392/256). -4/31 Evaluate ((-4)/16*2)/(((-14)/378)/(14/(-63))). -3 Evaluate (8/(-260))/(7/((-1470)/6)). 14/13 What is the value of ((-6)/42)/((-11820)/840)? 2/197 What is ((-1)/(-6))/((4472/78)/(-86))*0/2? 0 What is the value of 175/2*((-16)/(-64))/(14/32)? 50 What is 4/(-330)*9*(3880/(-648))/97? 2/297 Calculate 126621/1279*((-3)/27)/((-11)/(-33)). -33 What is 5*-1*((-544)/32)/340? 1/4 Evaluate (((-30)/4)/(-1*3))/(150*(-28)/1260). -3/4 What is the value of 44/11*((-88)/(-160))/(209/38)? 2/5 What is the value of (-6)/(-8)*1*((-293454)/(-1377))/137? 7/6 11/(10043/(-83))*(-627)/21 19/7 Calculate (-71)/(-24921)*189*-39. -21 What is the value of (((-15)/(90/1176))/((-42)/7))/((-90)/135)? -49 Calculate (624/1664)/(49/(-112)). -6/7 Evaluate ((-1166)/(-2332))/(1*(-3)/258). -43 Calculate ((-4)/(-62))/(3706/(-3706)). -2/31 (6/(-20))/(176437/(-16645)) 3/106 (((-46452)/28)/(-237))/((-7)/(-40)) 40 (-40)/(-220)*(-415811)/(-734) 103 What is the value of 4950/(-7700)*(-14)/(-3)*1/(6/(-172))? 86 What is ((-100)/13)/((46648/(-884))/(-343))? -50 What is the value of (2/3*10)/(1336/6012)? 30 What is (-4)/(-2)*600/36*(-19)/((-380)/12)? 20 (-28)/35*3370/1348 -2 What is ((-36)/255)/(520/650)? -3/17 Evaluate ((-420)/(-495))/((-50)/275)*(-78)/7. 52 What is the value of ((9/9)/1*105/15)/(18/(-6))? -7/3 Evaluate 11*(-35)/(-99)*840/980*36/(-20). -6 What is 7/((-21)/(-2))*149/(-16390)*(-90)/(-4)? -3/22 Calculate (116/25)/(9718/121475). 58 (-4)/((-2)/(-3)*(-2814)/469) 1 What is the value of ((-368)/6)/2*20*3
{ "pile_set_name": "DM Mathematics" }
-2*m + 12 = 2, 0 = -j*i + m - 8 for i. -1 Let j be (4 - 5)*(2/(-1) + -3). Let h be 15/j + -4 - (-4)/1. Let b = 56 - 51. Solve r + h = 2*c, 3*c = 5*r - 11 + b for r. 3 Let y(h) = -100*h - 43. Let n be y(-1). Let s = -46 + n. Solve -2*f = -o + 13, -o + 2*o + 4*f = -s for o. 5 Let a be -3*(-1)/(-6)*-4. Suppose y - 13 = -5*g, -2*y - 13*g = -7*g - 18. Solve y*z + 4*q = -9, 0 = -5*z - q - a*q - 4 for z. 1 Suppose -32*h + 30*h - 414 = 0. Let l = h - -211. Solve l*x + 5 = -u, 4*u - 3*x - 18 = -0*x for u. 3 Suppose 183*g = 154*g - 83 + 837. Solve -12*o - 5*q + g = -8*o, -3*q = o - 10 for o. 4 Suppose 3*x + 2*u = 22, -5*x + 14 = -2*x - 2*u. Suppose -193*q + 877 - 105 = 0. Solve -v - q*o - x = 0, -5*v + 0*o - 2*o - 12 = 0 for v. -2 Suppose 5*s - 20 = 2*d, -1 = -d - 6. Let r = -2 + 61. Let o = r + -56. Solve 3*m + s*w = -21, o*m + 2 = 2*m + w for m. -5 Let h be 4/(-5)*((-441)/252 - (-3)/(-4)). Solve -2*v - r = -v - 9, -h*r = -10 for v. 4 Let z be 1368/(-95)*10/(-9). Solve -19 + z = -b - d, -5*b = -2*d - 15 for b. 3 Let f = 3856 + -3835. Solve -5*d + r = -0*r + f, -d + 3*r = 7 for d. -4 Let a(z) = -2*z**3 + 30*z**2 - 29*z + 15. Let y = -233 + 247. Let u be a(y). Solve 6*m - r = m + u, m = 4*r + 4 for m. 0 Let n = -13192 + 13196. Solve 4*s - 5*u = -6*u, n*s + 2*u + 4 = 0 for s. 1 Let t = -2586 + 2590. Solve -5*d - 3*w = -7*w - 16, -t*d - 5*w = 20 for d. 0 Let d(t) = -3*t - 24. Let z be d(-9). Let k be (-7*z + -2)/1. Let a = 27 + k. Solve -5*v = a*i + 41, 4*i + 21 = v - 2*v for v. -5 Let c(v) = 2*v**3 + 32*v**2 - 123*v + 39. Let u be c(3). Solve -5*t + 4*o + 2 = -7*t, -3*t = -3*o + u for t. -3 Let i be ((-264)/(-9))/2*27/36. Solve -1 = -4*r + 2*c + i, -5*r = -3*c - 17 for r. 1 Suppose 58*a + 33 = 2*t + 53*a, 0 = t + 2*a + 6. Solve -93*n + 94*n = i + 5, 4*n - 12 = -t*i for n. 4 Let j be (-44)/7 + 3 - (-4)/14. Let b(s) = -4*s - 9. Let t be b(j). Let l = 0 - -4. Solve i = -a - l*a + 30, -5*a + 40 = t*i for a. 5 Suppose -n + 3*v + 51 = 0, -3*n - 2*n - 5*v = -175. Let c = 67 - n. Suppose b = -5*f + 3*b + 48, -c = -f + 5*b. Solve 4*d - z + 9 + f = 0, -4*z = -20 for d. -3 Let m(i) = 72*i + 796. Let k be m(-10). Solve 78*o = k*o - y, -o - 2*y = 9 for o. 3 Suppose 167*j = 43*j + 3720. Solve k + 5*r = -j, 3*r = -5 - 10 for k. -5 Suppose 5*v = v + 5*b - 1275, -b - 655 = 2*v. Let k = v + 327. Solve -s + 2 = 0, 2*l + s - k*s - 6 = 0 for l. 4 Let v(o) = o**3 - 8*o**2 + 20*o - 70. Let b be v(7). Solve -5*f - x - 22 + b = 0, -1 = -3*f + x for f. 0 Suppose g = b + 8, 2*g = 4*b - 9*b - 26. Let c be (-4 - -2)/(-3 - b)*6. Let r be c - 1*2*-3. Solve -x - u - 16 = r*u, 0 = 5*u + 20 for x. -4 Let r = 965 - 957. Solve 2*u = -3*l - 20, -7*u - 4*l - 12 = -r*u for u. -4 Let y be (-2 - 3)*-5*6/75. Solve 4*g = y*x - 6, 36 - 39 = 2*x - g for x. -3 Suppose -632*c = -384*c - 1240. Solve 3*y - 4*m = 19 - 14, -c*y + 16 = m for y. 3 Suppose 37 = -72*h + 77*h + 3*p, -4*h + 36 = 4*p. Solve 0 = -h*d, -q = 2*q - 4*d for q. 0 Let c = 139 - 13. Suppose c*z - 133*z = -56. Solve 3*j + 2*w = -j + 16, -4*w = -z for j. 3 Let c = -735 - -740. Solve -2*u + 3*d = -19 + 15, 0 = 4*u + c*d - 8 for u. 2 Let v be (2/1)/((-12)/6 + 0). Let y be v/(-6) + 76/(-24). Let d(j) = -2*j - 2. Let l be d(y). Solve -l*f = 3*q - 8, 5*f - 3*q + 5 = -12 for f. -1 Let v(m) = -m**2 + 4*m + 9. Let i be v(0). Suppose -i*o + 5*o = -16. Let g be -2 - ((6 + o)*1)/(-1). Solve 0 = -z + 4*b + 23, 4*b + 0 = -4*z - g for z. 3 Let w(j) = -4*j**2 - 69*j + 3. Let l be w(-17). Suppose 23*q - 30 = l*q. Solve -20 = 4*c - 4*m, 2*c + q = 4*c + 3*m for c. -1 Let t be (-60)/(-4 + 1) + -2*2/(-4). Solve 3*m = -4*z + 9*z - t, 0 = -5*z - 2*m + 11 for z. 3 Let c(s) = 138*s - 1238. Let m be c(9). Solve -m*q - 3*w - 1 = -2*q, 4*q + 23 = w for q. -5 Suppose 13*c - 11 = 12*c. Suppose 0 = 5*k - 16 + c. Solve 3*x = i - 2, -4*x = i - 8 - k for i. 5 Let y(p) = -p**3 + 17*p**2 + 35*p - 809. Let k be y(16). Solve 0 = -3*r - 3*n + 6, 23*r + 4*n + k = 22*r for r. 5 Suppose -1525 + 1501 = -8*t. Let v(n) = -n**2 + 5*n - 4. Let r be v(3). Solve -4*o + 3*k = -2, -r*k = -t*k - 2 for o. -1 Suppose 0 = 2*m + 5*u - 30, 6 = m + 3*u - 11. Suppose -h + 12 = m*a, -15*a - 5*h - 18 = -16*a. Solve -3*s - q + 9 = 0, a*q = -4*s - 11 + 28 for s. 2 Let t = -284 + 267. Let h = t + 20. Solve -3*k = h*r + 2*r + 23, -2*k - 4*r = 18 for k. -1 Suppose 0 = n + 2*w - 29, -68 = -4*n + 2*w + 2*w. Suppose -5 + n = 4*k. Let l(c) = -c**2 + 3*c. Let g be l(3). Solve 2*o + 3*s + 0*s - 7 = g, -o = s - k for o. 5 Suppose -46*f = 2368 - 1256 + 2338. Suppose -2*h + 7*h = 450. Let u = f + h. Solve -8 = -2*g + p, 1 + u = -2*g - 5*p for g. 2 Let s be (960/(-18))/10*27/(-12). Suppose -a - a = -20. Suppose -a*t = -s*t + 6. Solve -2*d - t*d = -2*c - 19, -22 = 5*c - 4*d for c. -2 Let u = -6581 - -6584. Solve 4*s + k - 1 = 0, s + 18 = u*s + 4*k for s. -1 Let s = -5807 - -5810. Solve 4*h = 2*c - h + 12, s*c = -4*h + 28 for c. 4 Suppose 3958 + 1817 = 33*m. Solve 2*c + 156 = -5*z + m, c + 3*z = 12 for c. -3 Suppose 2*a - 5*h - 60 = 113, 421 = 5*a - h. Let j = a + -76. Suppose -3*o + 6 = 4*n - 2*o, -o = -3*n + j. Solve -2*p = -4*k + 20, -n*k + 0 = p - 2 for p. -4 Suppose 4*p + 2273*u - 2271*u - 2 = 0, 4*p - 5*u = 23. Solve 5*h + p*q - 2 = 24, 5*h - 4*q - 8 = 0 for h. 4 Let u be (5 + -2)/(-2 + -6 - -9). Suppose -2*b + u*a + 26 = 0, -5*a - 49 = -2*b - 15. Solve 2*p + b = 5*z - 10, 0 = 4*z - 3*p - 15 for z. 3 Suppose 3*h = -3*k + 522, 846 = -7*h + 12*h - 3*k. Suppose -h*v + 10 = -169*v. Let q(p) = -p. Let g be q(0). Solve -5*s = v*b, 20 = -4*s - g*s for b. 5 Let p(r) = -54*r + 2044. Let s be p(37). Solve -5*z = 3*h + 10, -s*z = -42*z - 4*h + 40 for z. -5 Let n be 120/200 + (126/5)/3. Let t be (4 - -5)/n*1*16. Solve -2*g + 2*l - t = 0, -g = -0*g - 2*l + 12 for g. -4 Let i be 3/2*10/3. Let v be (0*1/7)/(-1). Suppose -28*x - 346 + 486 = v. Solve -i*r + 25 = 4*p, -x*p = -0*p + 5*r - 25 for p. 0 Suppose 95*m - 97*m = -3*i - 18, -5*m - 1 = 4*i. Solve 4*h - m*b - 20 = 0, 5*h - b + 10 = 35 for h. 5 Suppose 4*l = 3*y + 4, -4*l + 14 = 3*y - 14. Suppose a + 24 = 3*x - 2*a, -3*x + 3 = l*a. Solve -3*s = x*m - 29, 0 = 5*s - 0*s + 5*m - 35 for s. 3 Let l = -213 - -231. Suppose -l*m + 10*m = -32. Solve -4*w + 20 = 0, 0 = m*f + w + 3*w for f. -5 Let d be -1 - (5 + -4)/(2/(-6)). Suppose d*m = 10*m - 784. Let q = 103 - m. Solve -5*r = 3*g + 6 - 3, g = -3*r - q for r. -3 Let l = -13 + 36. Let c = 25 - l. Suppose 5*o = 20, 5*v + o = 2*o + 56. Solve -c*f = 3*g - v, 5*g - 22 = -f - 3*f for f. 3 Suppose 68*d - 5804 - 3667 = 7393. Solve -d*w - 12 = -g - 252*w, 3*w = -4*g + 22 for g. 4 Let a = -7 + 17. Solve -a*h + 6*h + 13 = r, -r - 5 = -2*h for h. 3 Suppose -2*q + 13*q = 0. Let u(n) = 5 - 2 - 1 + 2*n + 3*n. Let m be u(q). Solve 0 = 2*f - m*z - 20, f - 2*f + 5*z = -30 for f. 5 Let w = 12039 - 12037. Let a(x) = -2*x - 6. Let g be a(-5). Solve -13 = -w*p + g*i + 3, 0 = 3*i + 6 for p. 4 Suppose -29*y + 32*y = 15. Suppose 3*d = 20 - y. Suppose 2*h + 2 = 2*f, d*f - 19 - 26 = -5*h. Solve h*n = 0, -3*i = -n - 0*n - 12 for i. 4 Let z be ((-56)/10)/(546/35 + -16). Solve 0 = -c - m - 3, 4*c + 4*m + z = m for c. -5 Let v = 110 + -110. Suppose 71*q - 75*q = v. Solve -k + p + 4 + 1 = q, 20 = -2*k - 4*p for k. 0 Let z(c) = -55*c + 275. Let a be z(5). Solve 0*h + 11 = 3*h + k, a = -2*k + 4 for h. 3 Suppose 3*u + 4*z = 61, 0*u + 4*u = 4*z + 72. Let g(o) = 7*o + 115. Let n be g(-15). Let r be (12/(-8))/(3/(-6)). Solve -w = 5*k - u, w + w - n = -r*k for k. 4 Let f = 16879 + -16877. Solve 2*s - 8 = -5*d - 13, d - f*s + 13 = 0 for d. -3 Let t(f) = -9*f - 7. Let u be t(-1). Solve -5*n = 0, m - 4 = -u*n - 1 for m. 3 Let i(q) = -q**3 + 100*q + 99. Let k be i(-1). Solve 2*a + 16 = 4*n - k*a, -4*a = n - 4 for n. 4 Let x be (-5)/(-20)*68 + (-9 - -7). Solve -2*o - 3*z = -14, 5*o - 4*z - z = -x for o. 1 Let u(a) = a**3 + 52*a**2 - 37*a - 1924. Let x be u(-52). Solve -l + 2*l - p = 0, x = 2*l - 5*p - 9 for l. -3 Suppose -15 = 5*g, -4*w = w + 4*g - 8. Suppose 5*f = w*b - 116, 0 = 5*f + 2*b + 2*b + 124. Let k = f + 31. Solve -3*r = m - k*r - 11, -3*r - 13 = 4*m for m. -1 Let y be 11/(-33) + (-5)/3 + 7. Solve -r - 3 = -5*v, -y*r = 10 - 20 for v. 1 Let x(h) = h**2 - 76*h + 1421. Let o be x(43). Solve 0 = 2*g + 8, -o*g - 12 = -21*c + 19*c for c. 2 Let w be (-4 - 0 - -7
{ "pile_set_name": "DM Mathematics" }
ob of sequence nyi. 1/105 Four letters picked without replacement from zddfdzzfffd. Give prob of sequence zdzf. 2/165 Calculate prob of sequence bn when two letters picked without replacement from {w: 4, b: 2, a: 1, n: 7, l: 4}. 7/153 Four letters picked without replacement from jjjh. Give prob of sequence jhjj. 1/4 Four letters picked without replacement from {l: 4, i: 5, f: 5}. Give prob of sequence flfi. 50/3003 Three letters picked without replacement from dffvfvf. What is prob of sequence fff? 4/35 Calculate prob of sequence xxx when three letters picked without replacement from {t: 12, x: 7}. 35/969 Four letters picked without replacement from mmmyeetuyyeemtmeee. What is prob of sequence ttem? 7/7344 What is prob of sequence qa when two letters picked without replacement from avtvtaatvtvqvmtmqtmv? 3/190 Calculate prob of sequence ruui when four letters picked without replacement from uiiiuuuur. 5/252 Two letters picked without replacement from gjqjgonojwg. Give prob of sequence nj. 3/110 Calculate prob of sequence hh when two letters picked without replacement from hczchykykkkkkkyzk. 1/136 What is prob of sequence oo when two letters picked without replacement from {m: 4, p: 2, c: 5, q: 3, o: 5, h: 1}? 1/19 What is prob of sequence nr when two letters picked without replacement from {n: 2, x: 1, t: 1, r: 4, e: 2}? 4/45 Three letters picked without replacement from aeeeqaqqaaeeeaaeqqa. What is prob of sequence aaa? 35/969 Two letters picked without replacement from {p: 1, m: 1, g: 1}. What is prob of sequence gp? 1/6 Calculate prob of sequence ba when two letters picked without replacement from zasazazbszazzbzba. 15/272 What is prob of sequence rr when two letters picked without replacement from {f: 1, s: 2, r: 3, n: 3, d: 9, u: 2}? 3/190 Four letters picked without replacement from {p: 3, e: 6, k: 1, v: 4}. Give prob of sequence ekpv. 3/1001 Three letters picked without replacement from {l: 2, i: 3}. What is prob of sequence ili? 1/5 What is prob of sequence it when two letters picked without replacement from {t: 3, e: 4, z: 1, i: 2, a: 1}? 3/55 Calculate prob of sequence jfj when three letters picked without replacement from jhjffjhofjoffkfjj. 3/68 Three letters picked without replacement from {p: 9, u: 3}. Give prob of sequence puu. 9/220 What is prob of sequence am when two letters picked without replacement from {j: 3, m: 8, a: 2, w: 2}? 8/105 Two letters picked without replacement from {m: 1, q: 1, i: 1, r: 1, u: 1}. Give prob of sequence uq. 1/20 Two letters picked without replacement from eeeuucguemegeneneguu. What is prob of sequence eg? 6/95 Four letters picked without replacement from {x: 4, u: 1, r: 2, a: 1, v: 3}. What is prob of sequence xura? 1/990 Four letters picked without replacement from {o: 7, s: 1, d: 4, f: 6}. What is prob of sequence sodd? 7/6120 Three letters picked without replacement from czzczhzchchc. Give prob of sequence zcc. 2/33 Calculate prob of sequence zj when two letters picked without replacement from {r: 3, b: 1, e: 9, j: 1, z: 3, y: 2}. 1/114 Four letters picked without replacement from {d: 1, y: 2, m: 1}. Give prob of sequence mddy. 0 Four letters picked without replacement from {a: 7, d: 2, m: 5}. What is prob of sequence daad? 1/286 What is prob of sequence xxm when three letters picked without replacement from wmwqmwwqwwmwwxxwwmw? 4/2907 What is prob of sequence lilo when four letters picked without replacement from {i: 4, o: 4, l: 3}? 2/165 Calculate prob of sequence qqq when three letters picked without replacement from qlqlnlnq. 1/56 Calculate prob of sequence gp when two letters picked without replacement from {g: 3, j: 2, s: 5, p: 2}. 1/22 Three letters picked without replacement from iglii. What is prob of sequence ili? 1/10 What is prob of sequence qqj when three letters picked without replacement from qquqququjuq? 1/33 Calculate prob of sequence ko when two letters picked without replacement from kkokxkx. 2/21 Calculate prob of sequence kkgk when four letters picked without replacement from {k: 1, g: 2, u: 2}. 0 What is prob of sequence yw when two letters picked without replacement from yyywyyyy? 1/8 What is prob of sequence dda when three letters picked without replacement from {m: 5, a: 1, d: 4, p: 3}? 1/143 What is prob of sequence xxrr when four letters picked without replacement from {r: 2, z: 4, x: 2}? 1/420 Two letters picked without replacement from uuvvuuuv. What is prob of sequence uu? 5/14 Calculate prob of sequence fm when two letters picked without replacement from fmmfmfm. 2/7 What is prob of sequence jjjc when four letters picked without replacement from ccljjljlbjjj? 2/99 Four letters picked without replacement from rhhbqihhiiq. Give prob of sequence qirq. 1/1320 Three letters picked without replacement from {e: 4, o: 9, n: 1, w: 1, z: 3}. Give prob of sequence wee. 1/408 Calculate prob of sequence llk when three letters picked without replacement from {l: 6, p: 1, k: 7}. 5/52 What is prob of sequence ff when two letters picked without replacement from fpofp? 1/10 Calculate prob of sequence kw when two letters picked without replacement from {n: 2, v: 2, k: 4, x: 2, y: 3, w: 3}. 1/20 Two letters picked without replacement from {g: 3, q: 5, i: 1, s: 4}. Give prob of sequence qq. 5/39 Three letters picked without replacement from fufiqlluiqqq. What is prob of sequence flf? 1/330 Three letters picked without replacement from applxlaclaaalxxxpaa. Give prob of sequence lal. 14/969 Calculate prob of sequence eqbe when four letters picked without replacement from gggxqqgggeeb. 1/2970 Four letters picked without replacement from wzxx. What is prob of sequence xzxw? 1/12 Two letters picked without replacement from rbryyruyryyyu. What is prob of sequence ur? 2/39 Three letters picked without replacement from {g: 2, t: 3, r: 1, z: 3, q: 1, c: 1}. Give prob of sequence czq. 1/330 Calculate prob of sequence iei when three letters picked without replacement from {i: 5, p: 3, r: 1, e: 1, k: 1}. 2/99 What is prob of sequence rr when two letters picked without replacement from dyrydybbdrddr? 1/26 Two letters picked without replacement from sdsydssssddsss. What is prob of sequence ds? 18/91 Two letters picked without replacement from {e: 3, p: 1, l: 1}. What is prob of sequence el? 3/20 Calculate prob of sequence gflt when four letters picked without replacement from lgfnt. 1/120 What is prob of sequence zzii when four letters picked without replacement from zziggigfg? 1/756 Four letters picked without replacement from phhphphhpppppppp. Give prob of sequence phhh. 11/728 Four letters picked without replacement from {k: 4, u: 2, d: 8, c: 4, e: 2}. What is prob of sequence cdec? 8/4845 What is prob of sequence su when two letters picked without replacement from ssssssusssssssusuu? 28/153 Calculate prob of sequence ch when two letters picked without replacement from ccchchcccchc. 9/44 Calculate prob of sequence bap when three letters picked without replacement from {r: 1, p: 1, c: 1, a: 1, b: 1}. 1/60 Calculate prob of sequence nerb when four letters picked without replacement from jbqeenr. 1/420 What is prob of sequence sd when two letters picked without replacement from {s: 1, k: 1, d: 1, g: 2, l: 2, w: 1}? 1/56 Four letters picked without replacement from {p: 9}. Give prob of sequence pppp. 1 What is prob of sequence rh when two letters picked without replacement from hhharahahhhhha? 9/182 Three letters picked without replacement from swwwwsssswss. Give prob of sequence sww. 7/66 What is prob of sequence hehe when four letters picked without replacement from heeeeshsesh? 1/66 What is prob of sequence ay when two letters picked without replacement from aaaaayaaay? 8/45 Three letters picked without replacement from iicccccciccicciccci. Give prob of sequence icc. 52/323 Two letters picked without replacement from {t: 5, b: 2, x: 6}. What is prob of sequence bt? 5/78 Two letters picked without replacement from sossossosssoooosvoo. What is prob of sequence vs? 1/38 Calculate prob of sequence kkk when three letters picked without replacement from {t: 14, k: 5, l: 1}. 1/114 Four letters picked without replacement from {b: 2, l: 2, f: 2}. What is prob of sequence flbf? 1/45 Four letters picke
{ "pile_set_name": "DM Mathematics" }
x**2/5 + 61504*x + 341800 = 0. -50/9, 17090 Determine g so that -34*g**5/7 + 9960*g**4/7 - 122394*g**3 + 22928128*g**2/7 + 1351680*g/7 = 0. -1/17, 0, 64, 165 Find b such that b**2/4 + 4691*b/4 - 1004735 = 0. -5431, 740 Determine z so that -2*z**3 - 208600*z**2 + 208614*z + 1251612 = 0. -104301, -2, 3 Factor -q**3 - 445519*q**2 + 12475120*q - 87327212. -(q - 14)**2*(q + 445547) Factor 5*p**2 - 174465*p - 9085700. 5*(p - 34945)*(p + 52) Determine o, given that o**4/4 + 12139*o**3 - 971483*o**2/4 + 898647*o/2 - 218592 = 0. -48576, 1, 18 Factor 3*p**3 + 3141*p**2 + 530628*p - 8052660. 3*(p - 14)*(p + 231)*(p + 830) Suppose 5*b**3/4 + 52064775*b**2/4 + 52064760*b + 52064755 = 0. What is b? -10412951, -2 Factor -21681*d**5 + 1809*d**4 - 30*d**3. -3*d**3*(33*d - 2)*(219*d - 5) Determine n so that n**5/6 + 56069*n**4/3 - 1794419*n**3/6 + 841182*n**2 + 3028158*n = 0. -112154, -2, 0, 9 Factor -4*t**3 - 158628*t**2 - 1110248*t - 1903200. -4*(t + 3)*(t + 4)*(t + 39650) Suppose -k**5/2 - 3598*k**4 - 6451170*k**3 + 77860816*k**2 - 129888160*k = 0. Calculate k. -3604, 0, 2, 10 Determine g, given that -3*g**3 - 4449*g**2 + 1095858*g + 1100304 = 0. -1698, -1, 216 Find i such that 5*i**2 + 74930743*i - 29972298 = 0. -14986149, 2/5 Let -4*s**3 - 228356*s**2 + 54112928*s - 107312400 = 0. Calculate s. -57325, 2, 234 Determine i so that 98*i**5/13 - 3626*i**4/13 - 69980*i**3/13 + 296*i**2/13 + 5712*i/13 = 0. -14, -2/7, 0, 2/7, 51 Factor r**2 + 105714884*r + 2793909174783364. (r + 52857442)**2 Suppose -2*s**5/3 + 897526*s**4/3 - 897524*s**3/3 = 0. What is s? 0, 1, 448762 Let -5*s**2 + 10895*s - 1389240 = 0. What is s? 136, 2043 Solve -b**3/3 + 2203936*b**2/3 - 734645*b = 0. 0, 1, 2203935 Determine v so that 2*v**3/9 + 6242*v**2/3 + 14367680*v/3 - 3430873600/9 = 0. -4720, 77 Determine z, given that -2*z**4/9 + 23414*z**3/9 + 297308*z**2/3 + 908072*z + 2442960 = 0. -26, -6, 11745 Factor -i**3 + 174*i**2 - 4239*i - 138510. -(i - 135)*(i - 57)*(i + 18) Solve 4*k**4 + 5476*k**3 - 144312*k**2 + 1070208*k - 1607040 = 0. -1395, 2, 12 What is d in -3*d**3/8 + 67461*d**2/8 - 47620410*d + 4813514793/2 = 0? 51, 11218 Solve -r**4 - 50129*r**3 + 200531*r**2 - 50139*r - 300798 = 0. -50133, -1, 2, 3 Factor -t**2 + 2356*t + 1214085. -(t - 2791)*(t + 435) Suppose 3*u**2/2 - 51508047*u = 0. What is u? 0, 34338698 Factor h**3/8 - 7695*h**2/8 + 107519*h/8 + 115215/8. (h - 7681)*(h - 15)*(h + 1)/8 Factor 5*x**3 - 41895*x**2 - 6568890*x - 12970160. 5*(x - 8533)*(x + 2)*(x + 152) Factor 4*k**4 + 51800*k**3 + 64232916*k**2. 4*k**2*(k + 1389)*(k + 11561) Factor 3*x**4 - 22482*x**3 - 88595181*x**2 + 489789884376*x + 1423872133540272. 3*(x - 6903)**2*(x + 3156)**2 Factor 3*r**3/4 + 387*r**2/2 + 6927*r/4 - 31806. 3*(r - 9)*(r + 19)*(r + 248)/4 Let -v**4/9 + 1546*v**3/9 - 15733*v**2 + 3480068*v/9 - 6406100/9 = 0. Calculate v. 2, 47, 1450 Factor 5*p**2 + 74031755*p - 222095310. 5*(p - 3)*(p + 14806354) Determine l so that -2*l**4 - 5630*l**3 + 39478*l**2 - 84642*l + 50796 = 0. -2822, 1, 3 Find x, given that x**2/5 - 1548107*x/5 = 0. 0, 1548107 Solve 2*a**5/13 - 31714*a**4/13 + 168123240*a**3/13 - 300553580800*a**2/13 + 13733143592000*a/13 + 43908954900000/13 = 0. -3, 50, 5270 Factor 3*h**2/2 - 20616513*h. 3*h*(h - 13744342)/2 Find t, given that -t**3 - 2049790*t**2 - 4099577*t - 2049788 = 0. -2049788, -1 Solve -4*i**5 + 1548*i**4/5 - 18204*i**3/5 + 3076*i**2/5 + 44016*i/5 + 21168/5 = 0 for i. -1, -3/5, 2, 14, 63 Find k, given that 218*k**4/9 - 4066*k**3/3 + 49798*k**2/9 + 89714*k/3 + 1360 = 0. -3, -5/109, 8, 51 Let -4*j**2 - 160132*j + 21045936 = 0. What is j? -40164, 131 Factor 3*k**2 - 205356*k - 3081015. 3*(k - 68467)*(k + 15) Determine u so that -2*u**2/19 - 1896*u/19 + 200 = 0. -950, 2 Factor -l**2/5 + 317762*l/5 + 635528/5. -(l - 317764)*(l + 2)/5 Solve 2*i**5/21 - 67072*i**4/21 - 111808*i**3/7 + 469564*i**2/21 + 335422*i/21 - 134164/7 = 0 for i. -6, -1, 1, 33541 Determine s so that -s**5/2 - 363*s**4/2 - 27745*s**3/2 + 57315*s**2/2 + 13873*s - 28476 = 0. -252, -113, -1, 1, 2 What is a in -2*a**2/3 + 5102*a/3 + 118728 = 0? -68, 2619 Factor -3*p**3 + 107530968*p**2 - 963575649053775*p - 1927151728231446. -3*(p - 17921829)**2*(p + 2) Suppose -3*z**2 - 11015010*z - 10110870441675 = 0. Calculate z. -1835835 Factor k**2/5 + 41082*k/5 + 41081/5. (k + 1)*(k + 41081)/5 Factor 273*o**2/4 - 7629*o/4 - 16695. 3*(o + 7)*(91*o - 3180)/4 Let -2*r**2/9 - 2828*r + 17388800/9 = 0. What is r? -13376, 650 Factor 3*o**2 - 187390086*o + 2926253694257283. 3*(o - 31231681)**2 Factor -t**3 + 1395*t**2 + 1466500*t. -t*(t - 2095)*(t + 700) Factor 12*k**3 + 22577336*k**2 + 45154660*k/3 + 2508592. 4*(k + 1881444)*(3*k + 1)**2/3 Factor -u**3/7 - 559491*u**2/7 + 559498*u. -u*(u - 7)*(u + 559498)/7 Suppose 2*g**2/7 + 10678*g/7 - 53740 = 0. What is g? -5374, 35 Find a, given that -4*a**3 - 6924*a**2 - 3906396*a - 722278676 = 0. -749, -491 Find d such that -5*d**2 + 269915*d - 5666010 = 0. 21, 53962 Factor -2*s**2/3 - 38737928*s/3 - 187578383216648/3. -2*(s + 9684482)**2/3 Find o, given that 3*o**4/4 - 175533*o**3/2 + 10276928607*o**2/4 - 92407065921*o + 831407744907 = 0. 18, 58493 Solve -2*f**4/7 + 46*f**3 - 17474*f**2/7 + 47970*f - 858636/7 = 0. 3, 46, 51, 61 Factor -2*i**3 + 1417348*i**2 - 251115088434*i + 2008829998224. -2*(i - 354333)**2*(i - 8) What is m in 101761*m**4/7 - 10846*m**3/7 - 7391579*m**2/7 + 393924*m/7 + 134235396/7 = 0? -6, 1931/319 Determine c, given that -c**4/2 - 69823*c**3/6 - 360581*c**2/3 + 255904*c/3 = 0. -23264, -11, 0, 2/3 Factor -115357203*u**2 + 1657899360*u - 5956780800. -3*(6201*u - 44560)**2 Determine v so that -2*v**5/25 + 67222*v**4/25 - 588551996*v**3/25 + 394010769556*v**2/25 + 789787463998*v/25 + 395188075222/25 = 0. -1, 731, 16441 Determine x so that 2*x**2/11 - 2358842*x/11 = 0. 0, 1179421 Factor 2*o**2/7 + 30375718*o/7 - 30375720/7. 2*(o - 1)*(o + 15187860)/7 What is f in -118*f**2/9 + 39890*f/9 - 676/3 = 0? 3/59, 338 Let -i**4/7 - 116*i**3/7 + 723*i**2/7 - 1094*i/7 + 488/7 = 0. What is i? -122, 1, 4 Find d, given that -165802050*d**5 - 3865108920*d**4 + 2718520948*d**3 - 499884840*d**2 + 9926334*d - 52272 = 0. -24, 33/3035, 1/3 Find v such that 70*v**4/3 - 29446*v**3/3 + 3688264*v**2/3 - 39217480*v - 5627616 = 0. -1/7, 244/5, 186 Determine i so that -2*i**2/13 - 9272*i/13 - 1552776/13 = 0. -4462, -174 Find f, given that -2*f**3 - 3591564*f**2 + 7183134*f - 3591568 = 0. -1795784, 1 Suppose 2*s**3/3 - 1072*s**2 - 87711650*s/3 = 0. What is s? -5867, 0, 7475 Factor -g**2/10 + 26243353*g/5 - 688713576682609/10. -(g - 26243353)**2/10 Suppose -2*o**5/13 + 64894*o**4/13 - 7185076*o**3/13 + 209684552*o**2/13 - 579731472*o/13 + 377167104/13 = 0. What is o? 1, 2, 54, 32336 Factor -4*i**2 + 1148470160*i - 82436481775651600. -4*(i - 143558770)**2 Let 4*q**3 + 23224*q**2 - 279184*q + 465440 = 0. What is q? -5818, 2, 10 What is x in 2*x**5 - 110*x**4 - 884*x**3 + 79448*x**2 - 486480*x - 1296000 = 0? -27, -2, 10, 24, 50 What is q in q**2/3 + 5290*q/3 - 1789271/3 = 0? -5609, 319 Solve -4*b**5/5 + 34816*b**4/5 + 72*b**3/5 - 125312*b**2 - 1114052*b/5 - 104448 = 0. -3, -1, 5, 8704 Let 4*t**4 - 9688*t**3 + 1977348*t**2 - 104638160*t - 106625200 = 0. Calculate t. -1, 110, 2203 Factor 4*i**2/5 - 11310336*i/5 + 7995231277056/5. 4*(i - 1413792)**2/5 Solve 56*g**5 + 94540*g**4 - 74384*g**3 - 114808*g**2 + 74328*g + 20268 = 0. -1689, -1, -3/14, 1 Determine h, given that -2*h**3 + 5272*h**2 + 1484230*h + 99465156 = 0. -131, 2898 Factor -c**3/8 - 231*c**2/8 - 13835*c/8 - 106533/8. -(c + 9)*(c + 89)*(c + 133)/8 Factor -3*z**3 - 258930*z**2 - 5578248051*z + 380519103084. -3*(z - 68)*(z + 43189)**2 Find u, given that 2*u**2 - 20035336*u = 0. 0, 10017668 Factor -o**2/4 - 408189*o/4 + 3163705. -(o - 31)*(o + 408220)/4 What is v in 125*v**3/4 - 78431*v**2/2 - 16315*v/4 = 0? -13/125, 0, 1255 Determine q, given that q**2/2 - 11349*q/2 + 361120 = 0. 64, 11285 Find h such that -3*h**3 + 183471*h**2 - 2812184280*h + 215451759600 = 0. 77, 30540 Suppose -4*p**4/9 + 1816*p**3/3 - 126212*p**2/9 - 1103600*p - 11744208 = 0. Calculate p. -18, 61, 1337 Determine w, given that -11*w**3/12 + 92513*w**2/12 - 48423074*w/3 - 288564185 = 0. -195/11, 4214 Determine y, given that 6*y**5/11 - 14972*y**4/11 - 2939924*y**3/11 + 12955
{ "pile_set_name": "DM Mathematics" }
. Let r(s) = -23*s - 5. Let k(u) = 4*f(u) + 46*r(u). Let t(p) = p + 3. Let h be t(-4). Let d(v) = -v + 1. Determine h*k(w) + 4*d(w). -2*w + 2 Let c(a) = -4*a**3 - 2719*a**2 - 3*a. Let l(x) = -3*x**3 - 2718*x**2 - 2*x. Determine 2*c(g) - 3*l(g). g**3 + 2716*g**2 Let s(f) = -1481 + f - 2*f**2 - 5*f + 2972 - 1486. Let l(j) = j**2 - 7 - 6 + 14 - 5 + 3*j. Calculate -5*l(b) - 4*s(b). 3*b**2 + b Suppose 0 = -z + 2*i - 7, -3*i = 2*z - 6*i + 9. Suppose -z*n - 16 = -2*j + 2, 0 = 4*n + 8. Let f(x) = 5*x + 8. Let q(m) = 9*m + 15. What is j*q(c) - 11*f(c)? -c + 2 Let u(j) = 6*j**3 + j**2 - 5*j + 40. Let x(w) = -6*w**3 - w**2 + 7*w - 42. Give -5*u(k) - 4*x(k). -6*k**3 - k**2 - 3*k - 32 Let n(l) = -3*l**3 + 4*l**2 - 6. Let g(q) = 3*q**3 - 5*q**2 + 7. Let r(t) = t**3 - 66*t**2 + 2*t - 138. Let d be r(66). Determine d*n(v) - 5*g(v). 3*v**3 + v**2 + 1 Let v(p) = 264*p + 77. Suppose 2*m - 154 = w, 0 = -m - 4*m - w + 385. Let i be (-14)/(-3) - 28*63/(-5292). Let o(f) = -17*f - 5. What is i*v(s) + m*o(s)? 11*s Let d(p) = -p**2 - p + 1. Let l(u) = -15*u**2 - 25*u**2 - 3 - 19*u**2 - 26*u**2 + 94*u**2 + 3*u. Calculate -3*d(c) - l(c). -6*c**2 Let v(k) = 1998*k - 45. Let i(c) = -8*c - 5. Determine -36*i(n) + 4*v(n). 8280*n Suppose 21798*k = 21817*k + 57. Let l(h) = -22*h**2 - h - 5. Let q(b) = 22*b**2 + b + 6. What is k*q(w) - 4*l(w)? 22*w**2 + w + 2 Let o(m) = -1925*m**2 + 6*m + 5. Let j(y) = -y**2 - 3*y - 2. Give 2*j(h) + o(h). -1927*h**2 + 1 Let h(v) = -6*v + 5. Let f = -271 - -303. Let x(b) = -32*b - f*b + 15 + 47*b. Suppose 0 = -5*l + 11 - 31. Give l*x(t) + 11*h(t). 2*t - 5 Let v(o) = 18*o**3 + 3*o**2 - 19*o**3 + 2 - 378*o + 379*o. Let k(x) = -3*x**3 + 8*x**2 + 3*x + 7. What is 3*k(c) - 8*v(c)? -c**3 + c + 5 Let d(o) = 50*o**3 - 7*o - 247. Let q(f) = 17*f**3 - 2*f - 72. Give 3*d(y) - 10*q(y). -20*y**3 - y - 21 Let r(w) = -4*w**2 - 3*w + 10. Let l(o) = 2*o**2 + o - 5. Let k(h) = -7*l(h) - 3*r(h). Suppose 17 - 2 = 5*s. Let j(q) = -q**2 + 1. Determine s*j(b) - k(b). -b**2 - 2*b - 2 Let g(o) = -4479853*o**3 - 18249*o**2 - 6083*o. Let x(f) = -2209*f**3 - 9*f**2 - 3*f. Determine 6*g(a) - 12166*x(a). -4424*a**3 Let n(q) = -2*q**3 + 5*q**2 + 5*q. Let g(r) = 7*r**3 - 21*r**2 - 21*r. Let d(o) = -53*o**2 - 108*o + 1. Let w be d(-2). Determine w*g(a) + 21*n(a). -7*a**3 Suppose -58*d - 951 = -257*d - 155. Let m(f) = -7*f - 3 + 2 + 2. Let p(h) = 6*h - 1. Give d*p(u) + 3*m(u). 3*u - 1 Let l(y) = 3*y**3 + 179*y**2 - 61*y - 95. Let h be l(-60). Let w(f) = -252*f**2 + 35*f - 35. Let x(d) = 28*d**2 - 4*d + 4. Give h*x(u) - 4*w(u). 28*u**2 Let f(o) = 8*o**3 + 12*o**2 + 7*o + 6971. Let h(g) = 7*g**3 + 10*g**2 + 6*g + 6969. What is -5*f(b) + 6*h(b)? 2*b**3 + b + 6959 Let s(i) = 1195*i - 5972. Let d be s(5). Let y(a) = -51*a**3 - 3*a**2 - 8*a + 8. Let p(g) = 17*g**3 + g**2 + 3*g - 3. What is d*y(u) + 8*p(u)? -17*u**3 - u**2 Let f(s) = s + 1. Let x(g) = -10*g - 35. Suppose 673688*p - 673679*p = -630. Give p*f(i) - 2*x(i). -50*i Let g(l) = -21*l**2 + 66*l - 5. Let t be g(3). Let y(a) = -5*a**3 - 4*a**2 + 2*a + 16. Let q(v) = -9*v**3 - 7*v**2 + 4*v + 31. What is t*q(z) - 7*y(z)? -z**3 + 2*z + 12 Let g(n) = -9*n**3 + 19*n**2 - 44*n. Let k(o) = 46*o**3 - 95*o**2 + 241*o. Give 11*g(r) + 2*k(r). -7*r**3 + 19*r**2 - 2*r Let m(s) = -2*s**3 + 2. Let a(d) = 155*d**3 - d**2 - 6. Determine a(r) + 4*m(r). 147*r**3 - r**2 + 2 Let a(z) be the second derivative of -z**5 - z**4/4 + 3*z**2/2 - 178*z + 2. Let y(r) = 19*r**3 + 4*r**2 - 4. Calculate 4*a(l) + 3*y(l). -23*l**3 Let c(f) = -2*f**3 - 17*f**2 - 1612*f - 7. Let i(k) = k**3 + 6*k**2 + 2. Calculate -c(l) - 3*i(l). -l**3 - l**2 + 1612*l + 1 Let i(w) be the second derivative of -7*w**5/120 - 17*w**3/6 + 39*w. Let a(p) be the second derivative of i(p). Let k(y) = 13*y. Give 11*a(l) + 6*k(l). l Let u(f) = f + 12. Let k(z) = 13*z + 17. Let g(v) = 22*v + 32. Let n(i) = 3*g(i) - 5*k(i). What is -6*n(o) + 5*u(o)? -o - 6 Let t(g) = g**2 + 1116*g - 1. Let q(o) = o**2 + 743*o - 1. Calculate 8*q(r) - 5*t(r). 3*r**2 + 364*r - 3 Let f(k) = 3*k + 5. Suppose 29*l - 162 + 163 = -115. Let g(v) = -7 - 3*v + 3 - v. Calculate l*f(n) - 5*g(n). 8*n Let z(r) = -8*r + 13. Let y(s) be the second derivative of s**3/2 - 2*s**2 + 97*s + 2. Determine -7*y(g) - 2*z(g). -5*g + 2 Let z(r) = 3*r**2 + 3*r + 2. Let l(y) = 3*y**2 + 8*y + 2. Let s be l(-3). Let i(m) = -7*m**2 - 6*m - 5. What is s*z(q) + 2*i(q)? q**2 + 3*q Let t(q) = 11875*q + 5 + 8*q**2 + 11882*q - 2 - 23757*q. Let c(a) = -23*a**2 + a - 9. Calculate -3*c(j) - 8*t(j). 5*j**2 - 3*j + 3 Let k(x) = -11404*x**2 - 5*x - 85. Let b(i) = -155995315*i**2 - 68394*i - 1162698. Determine -5*b(j) + 68394*k(j). 11399*j**2 Suppose 13*q - 16*q = 33. Let i(y) = 7*y**2 - 3. Let p(r) be the first derivative of -26 - 13/3*r**3 + 0*r**2 + 5*r. What is q*i(o) - 6*p(o)? o**2 + 3 Let d(x) be the third derivative of x**4/4 - 13*x**3/3 + 3*x**2 - 15*x + 6. Let u(b) = -b. Calculate -d(m) - 4*u(m). -2*m + 26 Suppose -2*q - s + 8 = 12, s + 3 = -3*q. Let u(v) = 8*v**3 + 6*v**2 + 5*v - 1. Let o(p) = -p**3. Calculate q*u(a) + 6*o(a). 2*a**3 + 6*a**2 + 5*a - 1 Let r(o) = -1. Let b be (-166)/14 - 21/147. Let w be -3 + 56/b + 6/(-18). Let c be (-2)/w + 57/12. Let t(a) = -a**3 - 2*a**2 - 3*a + 5. What is c*r(y) + t(y)? -y**3 - 2*y**2 - 3*y Let j(t) = -t - 1. Suppose 0 = 70*o + 28 - 73 - 25. Let h(n) = 81*n**3 - 4*n - 4. Determine o*h(y) - 4*j(y). 81*y**3 Let a(w) = -10*w**3 - 5*w**2 - 13*w - 3. Let z(x) = 21*x**3 + 9*x**2 + 23*x + 5. Give -9*a(g) - 5*z(g). -15*g**3 + 2*g + 2 Let i(p) = 38*p**3 - 5*p**2 + 5. Let b(l) be the second derivative of 19*l**5/20 - l**4/6 + l**2 - 4*l - 1. Calculate -5*b(c) + 2*i(c). -19*c**3 Let f(t) = 99*t**3 - t - 13. Let w(n) = 31*n**3 - 4. Let z(m) = -2*f(m) + 7*w(m). Let s(j) = -893*j**3 - 95*j + 95. Calculate 2*s(h) + 95*z(h). 19*h**3 Let d(q) = q - 4. Let j(i) = -5. What is -6*d(o) + 11*j(o)? -6*o - 31 Let k(j) = -3*j**2 - 79*j + 137. Let n be k(-28). Let s(c) = 8*c**3 + 2*c**2 - 4*c - 4. Let r(o) = 7*o**3 + 2*o**2 - 4*o - 3. What is n*s(b) + 4*r(b)? 4*b**3 + 2*b**2 - 4*b Let o(c) = 14*c**3 + 41*c**2 + 10*c - 5. Let y(t) = 18*t**3 + 43*t**2 + 8*t - 4. What is -4*o(s) + 5*y(s)? 34*s**3 + 51*s**2 Let h(n) be the first derivative of -2*n**3/3 - n**2/2 - 3*n - 2819. Let q(l) = -11*l**2 - 6*l - 17. What is -34*h(j) + 6*q(j)? 2*j**2 - 2*j Let z(g) = -12*g**2 - 23*g - 2. Let r(u) = u**2 + 7*u + 1. What is 6*r(v) + 2*z(v)? -18*v**2 - 4*v + 2 Let f(s) = -13*s**2 + 4. Suppose -18*n = -25*n + 28. Suppose n*o - 5*r + 1 = -7, 4*o + 3*r - 24 = 0. Let a(i) = -6*i**2 + 2. Give o*f(x) - 7*a(x). 3*x**2 - 2 Let j(m) = 16*m**2 - 18*m + 18. Let o(b) = b**2 - b + 1. Suppose 0 = -22*i - 3420 - 8944. Let t = -526 - i. Give t*o(n) - 2*j(n). 4*n**2 Let q(v) = 25*v**3 + 110*v. Let j(p) = -51*p**3 - 225*p. What is 14*j(s) + 29*q(s)? 11*s**3 + 40*s Let n(h) = -52*h**2 + h**3 + 0*h**3 - 35*h**2 + 87*h**2. Let o(l) = 7*l**3 - 4*l**2. What is -2*n(t) + o(t)? 5*t**3 - 4*t**2 Let p(v) = -13*v**3 + 6*v**2 - v + 1. Let z(w) be the second derivative of -13*w**5/20 + 7*w**4/12 - w**3/6 + w**2/2 + 2*w - 14. Determine 7*p(q) - 6*z(q). -13*q**3 - q + 1 Let q be 3 + 1 + (-3 - -4). Let g(y) = 5*y + 9. Let t(r) = 34618 - 6*r - 17502 - 17125. Give q*g(a) + 4*t(a). a + 9 Let t(n) = 36*n + 5. Let v(l) = 46*l - 2123. Let x be v(46). Let q(h) = -18*h - 2. Calculate x*q(u) - 3*t(u). 18*u - 1 Let s(j) = 243*j**2 + 107*j + 4. Let p(l) = 365*l**2 + 150*l + 6. What is 5*p(y) - 7*s(y)? 124*y**2 + y + 2 Let g(s) = -10 + 2*s**3 - 41*s - 4*s**3 + 25*s**2 - 18*s**2 + 4*s**3 + 47*s. Let h(q) = -2*q**3 - 6*q**2 - 5*q + 9. Give 5*g(z) + 6*h(z). -2*z**3 - z**2 + 4 Let f(w) = w**2 - 2*w - 3. Let m(l) = -9*l**2. Let x(q) = f(q) + m(q). Let o(z) = -17*z**2 - 3*z - 5. Calculate -3*o(s) + 5*x(s). 11*s**2 - s Let z(f) = -f - 2. Let u(g) = 1298*g + 2. Determine -u(m) - 2*z(m). -1296*m + 2 Let p(b) = 7*b**3 + 7*b**2 + 4*b - 5. Let l(j) = -385*j**3 + 2*j + j**2 - 3 + 1151*j**3 - 386*j**3 - 376*j**3 + 2*j**2. What is -5*l(x) + 3*p(x)? x**3 + 6*x**2 + 2*x Let t(b) = -b**2 - 6*b - 4. Let x(n) = 2*n**2 + 12*n + 9. Suppose 591*o - 212 = 697*o. What is o*x(a) - 5*t(a)? a**2 + 6*a + 2 Let b(d) be the third derivative of -21*d**2 - 1/4*d**4 + 0 - 7/6*d**3 + 0*d. Suppose -20 = -2*p + 6*p. Let k(u) =
{ "pile_set_name": "DM Mathematics" }
). 26 Let o be 16/(-1 + (-5)/(-3)). Calculate the remainder when 87 is divided by 0 + o + 9 + -11. 21 Suppose 6 = -3*c - 3, 8 = y - c. Suppose 0 = v - 2 - y. Suppose 2*k - v = 19. Calculate the remainder when 37 is divided by k. 11 Suppose 303 - 119 = 8*x. What is the remainder when 44 is divided by x? 21 Suppose -y + 16 + 49 = 0. Suppose 0 = 24*d - 26*d + 66. Calculate the remainder when y is divided by d. 32 Let q = 14 + -21. Let p = 0 - q. What is the remainder when 6/8*(1 + 15) is divided by p? 5 Suppose -2 = k - 45. Let l(d) = -5*d - 3*d - 2*d**2 + d**2. Calculate the remainder when k is divided by l(-5). 13 Let f be -6*(-1)/(-2)*-3. Suppose -f - 19 = -4*j. Calculate the remainder when j is divided by 2. 1 Suppose l = -2*j + 12, 3*j - 13 + 1 = 0. Suppose l*w + w = 205. Let n = w - 27. Calculate the remainder when 26 is divided by n. 12 Suppose 4*a - u = 170, u = -0*u + 2. What is the remainder when a is divided by 15? 13 Calculate the remainder when (-627)/(-5) + 10/(-25) is divided by 16. 13 Let c(s) = s**2 + 9*s. Let q be c(-4). Calculate the remainder when (3 - 60)*q/15 is divided by 26. 24 Suppose 3*m + 63 + 18 = 0. Let z = 4 - m. Let b = -13 - -29. Calculate the remainder when z is divided by b. 15 Let w = 315 - -186. Let f be 2/8 + w/12. Calculate the remainder when 20 is divided by f/(-12)*2*-1. 6 Suppose -5*p + 8 = -7. Let g(w) = 4*w + w - 3*w**2 - w - 3 + 2*w**p. What is the remainder when 25 is divided by g(2)? 7 Let w = 9 + 2. Calculate the remainder when 21 is divided by w. 10 Let l = 14 + -9. Calculate the remainder when (-2)/(-5) - (-153)/l is divided by 11. 9 Let k(a) = -2*a**2 + 3*a - 3. Let q be k(-3). Let g = q + 62. What is the remainder when g is divided by 33/(-2)*2/(-3)? 10 Suppose 0 = w - 1 - 0. Let r be (w + -3)/((-1)/5). Suppose -p - 4*g + r + 13 = 0, 25 = p + 5*g. What is the remainder when p is divided by 4? 3 Suppose 4*z - 5 = 83. Calculate the remainder when z is divided by 8. 6 Suppose 0 = -5*n - z + 297, 5*n + 5*z = 2*z + 301. Calculate the remainder when n is divided by ((-6)/10)/(1/(-27 + 2)). 14 Let z(f) be the second derivative of f**5/20 + 5*f**4/6 + 4*f**3/3 + f**2/2 - 3*f. Calculate the remainder when z(-9) is divided by 7. 3 Suppose 3*y + 23 = -j - 0*j, -3*y - 13 = -j. Let x(t) = -t + 8. Calculate the remainder when x(y) is divided by 8. 6 Let g(l) = l**3 - 11*l**2 + 11*l + 3. Let j(y) = -y + 4. Let w be j(-6). Calculate the remainder when 50 is divided by g(w). 11 Let c(u) = u**3 - 4*u**2 + u - 3. Let n(k) = -k + 14. Let z be n(9). Let o be c(z). Calculate the remainder when 8 is divided by (-3)/(o/15)*-3. 3 Let u(o) = o**2 - 3*o + 1. Suppose -214 = -4*v - d - 55, -2*v + 2*d + 92 = 0. What is the remainder when v is divided by u(5)? 8 Let f(j) = 8 - 3 - 1 + 5*j. Let w be f(8). Suppose 4*b + 5*c - 31 = 25, 4*b + 2*c - w = 0. Calculate the remainder when 17 is divided by b. 8 Suppose 3*y = -2*y + 10. Suppose 0 = y*i + 2*i - 84. Let n(g) = -g**3 + 8*g**2 - 6*g + 4. Calculate the remainder when n(6) is divided by i. 19 Let h = 98 + -55. Let c = h + -24. What is the remainder when c is divided by 11? 8 Suppose 45 = -5*c - 3*t, 2*c + t - 13 = 5*c. Calculate the remainder when (-2)/(-3) - 70/(-21) is divided by ((-2)/c)/(1/9). 1 Let d(c) = 4*c - 4 - 19*c + 5. Let n be d(-1). Let x = 0 + n. Calculate the remainder when x is divided by 6. 4 Suppose -r = -0*r - 38. Let b = 2 - 4. What is the remainder when r is divided by b/(-1) - (-14 + -4)? 18 Let h = 133 - 79. What is the remainder when h is divided by 19? 16 Let j(l) = -l**2 + 10*l + 1. Let u be j(7). Suppose u = 3*b - 4*t, -b + t = 5*t - 2. Calculate the remainder when 10/((-2)/1 + 3) is divided by b. 4 What is the remainder when (-20)/16*-4*2 is divided by 4 + 2 + 2/(-1)? 2 Let x = 8 + -6. Suppose 5*z - x*d - 30 = d, 0 = -d + 5. Suppose 3 = 2*j - z. What is the remainder when j is divided by 4? 2 Suppose 0*r - 52 = -r. Calculate the remainder when r is divided by 11. 8 Suppose -2*k - 1 = -3. Let d = 6 - k. Calculate the remainder when 8 is divided by d. 3 Let s(a) = 3*a + 2. Let d = -6 - -11. Let j = 0 + d. Calculate the remainder when s(4) is divided by j. 4 Let d = 55 + -14. Let v be 9*(1 - (-2)/(-3)). Suppose v*c + c - 56 = 0. Calculate the remainder when d is divided by c. 13 Let i(n) = n**3 - 9*n**2 + n + 12. Let q be i(9). Calculate the remainder when -2*1/(-2)*q is divided by 8. 5 Let i be (3 - (-12)/(-8))*2. Suppose -3*u + 8*t + 71 = 3*t, i*u - 2*t = 77. What is the remainder when 78 is divided by u? 24 Let k(b) = -b**3 + b**2 + 22. Let d = 0 - -4. Suppose 2*s + d*n + 8 = 4*s, 5*n = -2*s - 10. Calculate the remainder when k(s) is divided by 8. 6 Suppose 310 = 2*r + 3*b, -2*b - 321 - 435 = -5*r. Let a = r - 108. Calculate the remainder when a is divided by 23. 21 Let w = -163 + 198. Calculate the remainder when w is divided by 10. 5 Let r(v) = -2*v + 2. Let s be r(-2). Suppose -20 = -3*p + 5*j - s, p - 4*j = 0. Calculate the remainder when (-4)/14 + 100/7 is divided by p. 6 What is the remainder when 119 is divided by 23 + -2 + -4 + -2? 14 Suppose 0 = -5*f - 3*f + 80. What is the remainder when 18 is divided by f? 8 Suppose 3*q + 48 = 3*w, 0*w + 4*q = w - 19. What is the remainder when w is divided by 6? 3 Suppose 0 = 4*i + 6 - 14. Calculate the remainder when 4 is divided by i. 0 Suppose z + 4 = 3*z. Suppose -z*x + 16 = -0*x. Calculate the remainder when x is divided by 3. 2 Suppose -1 + 4 = j. Suppose -j*y + 9 + 12 = 0. Calculate the remainder when y is divided by (3 + -3 + -5)/(-1). 2 Let k(j) = 3*j - 1. Let h be k(-1). Let x be (42/9)/(h/30). Let m = -12 - x. What is the remainder when 44 is divided by m? 21 Let k(g) = g**2 + 8*g + 6. Let o be k(-6). Let y = -1 - o. Calculate the remainder when y is divided by 3. 2 Let k = 20 + 4. What is the remainder when 95 is divided by k? 23 Suppose 0 = 4*k + 4*f - 12, 2*k + 0*f = 3*f + 1. Let h = 9 + k. What is the remainder when 32 is divided by h? 10 Suppose 3*j - 23 = 2*o, -j - j + 22 = 2*o. What is the remainder when 15 is divided by j? 6 Let v = -13 + 25. Calculate the remainder when 47 is divided by v. 11 Suppose 5*h + 3*r - 40 = 0, 4*h + 2 = 5*r - 3. Suppose -2*i + 106 + h = 5*a, -153 = -3*i - 3*a. Calculate the remainder when i is divided by 17. 14 Let n = 17 - 12. Suppose -n = -3*i - 2*i. What is the remainder when 6 - (2 + -4 + i) is divided by 3? 1 Suppose 0 = 2*r + 2 - 32. Suppose 0 = 5*j + r, w - 3*j - 4 = 153. Calculate the remainder when 4/(-18) - w/(-18) is divided by 5. 3 Let s(v) = -9*v - 1 + 0 + 0. Calculate the remainder when s(-6) is divided by 14. 11 Let s(d) = d**3 - 3*d**2 - d + 3. Suppose -5*b + 2*t + 61 = 0, -3*t = 3*b - 40 - 5. What is the remainder when s(5) is divided by b? 9 Suppose -3*m + 63 = 12. Calculate the remainder when 33 is divided by m. 16 Suppose 4*n = 1 - 5. What is the remainder when 9*1 - (-2 + n) is divided by 7? 5 Suppose 6*x = 2*x + 56. Suppose -3*r - 322 - 404 = 0. Calculate the remainder when 6/(-18) - r/6 is divided by x. 12 Let r be ((-1)/(-2) + 0)*-14. Suppose -23 = -5*v + 77. What is the remainder when v is divided by (r/(-4))/(2/8)? 6 Let s = -7 - -13. Suppose -3*m + 8 = -m. What is the remainder when s is divided by m? 2 Let n(u) = 4*u**2 - u - 4. Calculate the remainder when 1/4 - (-294)/8 is divided by n(2). 7 Let m = 238 + -13. Suppose m = u - 4*u. Calculate the remainder when u/(-3)*(2 - 1) is divided by 13. 12 Let z(b) = -3*b - 24. What is the remainder when 34 is divided by z(-12)? 10 Let y(q) = -8*q + 6 - 3*q**2 + 1 + 4*q**2. Let n be (-15)/(-2) + 4/8. What is the remainder when 12 is divided by y(n)? 5 Suppose 4*w - 3*w = 3. Suppose 0 = -w*z + 4*n - 2, 5*n - 6 + 2 = 3*z. Suppose z*b + b = 78. Calculate the remainder when b is divided by 9. 8 Let u = 138 - 65. Let d = u + -47. What is the remainder when d is divided by 14? 12 Suppose -8*h = -3*h - 2220. Let c = 748 - h. Suppose 4*l = 5*q - 3*q + 292, 0 = 4*l - 5*q - c. What is the remainder when l is divided by 18? 17 Suppose 0 = 4*w + 2*j - 2 - 4, w = j + 3. Suppose -3*v + 215 = v - 3*n, w*n = v - 55. What is the remainder when v is divided by 27? 26 Let x = -4 + 7. Let c(y) = 5*y**2 - 3*y + 2. Let f(g) = -14*g**2 + 9*g - 6. Let q(w) = -11*c(w) - 4*f(w). What is the remainder when q(x)
{ "pile_set_name": "DM Mathematics" }
*k + 2*k + 16 for h. -4 Let z be ((7 - 24) + 12)*-1. Solve 0 = z*r - 5, -i + r + 3*r - 3 = 0 for i. 1 Let r be ((-18)/(-63))/((-24)/(-154) - (-28)/(-462)). Suppose -11 = -4*s + 17. Solve -r*p + s = -d, -3*d - d = -5*p + 21 for p. 1 Let h(r) = -2*r**2 + 2*r + 9. Let k be h(0). Suppose n + 3*n - 28 = -4*q, q = -2*n + k. Solve -7*z - 20 = -2*t - n*z, -7 = -3*t - 4*z for t. 5 Suppose -3*f = -4*v + 6*v, -4*f - 4*v = 0. Let a be 1 - (3 + f) - -7. Solve 4*g - 8 = p, a*g + 5*p - 16 - 19 = 0 for g. 3 Let m be 6/(-9)*(-1 - 10)/44*18. Let p(t) = -t**2 + 4*t + 1. Let l be p(2). Solve l*a - 5*f + f = -27, 3 = -m*a - 2*f for a. -3 Suppose 62 = 30*d + 4*d - 3*d. Solve -10*h + 7*h = 2*x + d, -h = -3*x + 19 for x. 5 Let j(d) = -8*d - 70. Let l be j(-17). Let b = -61 + l. Solve -n - x - 4*x = -25, -5*n + b*x + 5 = 0 for n. 5 Let k = 9 + -5. Suppose 5*b + 3*f = 17, -3*b + 6*b + 9 = 3*f. Let g be b/4 + 120/32. Solve -l - l + g*x - 2 = 0, 3*l = -k*x - 23 for l. -5 Suppose 19 = 8*r - 3*r - q, 0 = -4*q - 16. Let v = -2 + 29. Suppose -v*p + 34*p - 14 = 0. Solve -3 = -n - 2*n + 3*g, -r*g - 1 = -p*n for n. 2 Let j(f) = 2*f**2 - 18*f - 13. Suppose -5*g - 35 = -d, 2*g = 3*d + 23 - 63. Let b be j(d). Solve -9 = -4*o - n + 15, -o + 3*n - b = 0 for o. 5 Let r = 365 + -758. Let g = -386 - r. Solve -3*w = 5*s + 13 + 5, 2*s = -w - g for w. -1 Let q be (-7)/(-4) - 2/(-8). Let t(z) = -2*z - 6. Let p be t(-24). Let v be p/(-9)*(-30)/70. Solve -3*f + q*x + 12 = 0, -v*x = -5*x for f. 4 Let b = 447 + -444. Suppose -b*w - 3 = 0, o = 3*o - 5*w - 9. Solve -o*l = -10, 10 = 5*t - 0*l - 3*l for t. 5 Let k(r) = 8*r**2 + 25*r + 4. Let g(j) = 14*j**2 + 46*j + 8. Let s(a) = -5*g(a) + 9*k(a). Let v = 5 - 1. Let l be s(v). Solve -4*x - 7 = 9, -x - l = -2*c for c. 2 Suppose 0 = -0*q - 3*q + 15. Suppose 0 = q*a + r - 6, r - 4 + 2 = -3*a. Suppose 0*i = 5*i - 10. Solve l - a*p - i*p = -7, -34 = -5*l - 3*p for l. 5 Suppose -65*q = -87*q + 22. Solve -4*k = 0, -z + 0*k + q = -4*k for z. 1 Let g = 3590 + -3588. Solve -l + 2 = 4*z, -6*l + g*l + 8 = -5*z for z. 0 Let z = 17122 + -17119. Solve -z*b + 0*b = -3*p, -4*b + 15 = -p for p. 5 Let m(b) = -b**2 + 13*b + 44. Let o be m(-8). Let v = o - -128. Solve -a = v*j + 15, -j + 4*j = 3*a for a. -3 Suppose -50*u = 30*u + 10*u - 11520. Solve 4*i + 3*x = -17, u*i + 2*x = 125*i - 13 for i. -5 Suppose 397 = 3*y + 316. Suppose -81 = -0*x - y*x. Solve 6 = -v - n - 3*n, x*v = -3*n for v. 2 Let x(j) = j - 6. Let k be x(6). Let m(w) = -w**2 - 1519*w - 4533. Let o be m(-3). Solve -5*t + 23 = 2*h, -t - 3*h + o = -k*t for t. 3 Suppose 20*w + 15*w - 43 + 8 = 0. Solve 5*j + 47 = 4*m + w, 5*m = 2*j + 32 for m. 4 Let k be 2 + 4/22 - (-26)/(-143). Suppose k*f = 2*x + 18, f - 9 - 10 = 3*x. Suppose 0 = -f*z - 2 + 18. Solve u = -z*b - 5, -3*u + 1 = -0*b + 4*b for u. 3 Suppose z - 15 = -5*i - 4, -5*i + 19 = -z. Let g be (8/(-36))/((2/(-18))/(28 + -27)). Solve 4*v - i*x - 28 = 0, -3*x - 10 = v - g for v. 4 Let k(v) = v + 4. Let d be k(26). Suppose -2*l = -3*r - 48, 2*l + 4*r + 34 = 110. Let o = l - d. Solve t + 3 = -w - o, 2*w + t + 4 = 0 for w. -1 Let s(x) = x**2 - 10*x + 8. Let d be s(5). Let f = 22 + d. Let c be (-1 + (-2)/(-14))/(2/(-28)). Solve r + c = 4*m - 0*r, -m + f*r = -3 for m. 3 Let z(m) = m**2 - 69*m + 957. Let f be z(50). Solve -3*r = 4*i - f*i, 3*i = 5*r for i. 0 Let v be (-153)/(-5) - (48/20)/4. Suppose -v = -5*p + 2*t + t, -31 = -2*p + 5*t. Solve 3*o = -4*x + 2, -5*o + p*x + 11 = 2*x for o. 2 Let v = -5709 + 5729. Solve -3*l - v = 2*p + 3*p, 19 = -3*l - 4*p for l. -5 Let c be ((-8)/26)/(24/13 + -2) + 6. Solve 5*i = k - 1, 4*k - 6*k = c for i. -1 Let x = -8 - -13. Let u = -22 - x. Let y = 47 + u. Solve a - y = -4*h, -2*a - 2*h - 3*h = -28 for a. 4 Let v(n) = -n. Let i(y) = 3*y + 1. Let m(a) = -6*i(a) - 14*v(a). Let t be m(-2). Solve -2*k - 4*p + 8 = 0, -k - t*p + 6 = k for k. 2 Let j(x) = -2*x**3 + 52*x**2 + 22*x - 4. Let n be j(26). Let c = n - 565. Solve -c*w - 17 = -4*r, w = 4*r + 3*w - 2 for r. 2 Suppose 0 = x + 3*x - 3*b - 7, 3*b = 9. Suppose 2*m - 104 = -2*m + x*p, -2*p = -4*m + 108. Let k = m - 19. Solve -v + 3*w = k, 5*w = v - 2 + 15 for v. -3 Suppose 5*v - 14 = 4*z + 8, -z + 3 = 3*v. Suppose -2*b + v*r + 2*r + 28 = 0, 49 = 4*b - r. Solve -2*j - 2*n - 3*n = -1, 0 = 3*j - 3*n - b for j. 3 Let w(o) = -2*o**2 + 88*o + 494. Let z be w(-5). Solve -a = 3*f + 6, -4*a = z*f - 2*a + 4 for f. -4 Let i(p) = -529 + 3*p + 1031 - 537. Let d be i(13). Suppose -3*o + 10 = -38. Solve 2*j + 5*c - 24 = 3*j, d*c - o = 0 for j. -4 Let a be (-138)/(-15) + (-1)/5. Suppose 8 = -a*j + 11*j. Suppose j*h = p - 19, 0*p - p + 3*h = -15. Solve 5*o = 2*y - 1, 2*y - 5 = p*o - 2 for y. 3 Let d(u) = 7*u + 23. Let n be d(-9). Let j be (-1)/((-22)/n + (-52)/65). Solve 0 = -3*c + 5*l - 20, -j*c + 3*l - 18 = -c for c. -5 Let l = 181 - 175. Let y be 8/l + (160/15)/(-8). Solve y = -f + n + 8, 0 = -4*f + n + 24 - 7 for f. 3 Let z be 19 - 26*(-12)/(-24). Solve 3*v = z, -7*v + 12*v = -5*g - 10 for g. -4 Let n = -52570 - -52573. Suppose 4*m - 4*z - 3 = 73, -z = -2*m + 33. Solve n*y + 2 = -4*w - 1, 2*w + m = -4*y for y. -5 Suppose -d = 3 - 7. Let k(o) = -2*o**2 + 20*o + 21. Let f be k(10). Let j be (f/(-6) + 1)*(4 + -6). Solve u - d*u - 5 = -q, 2*u + 25 = j*q for u. 0 Let z be (5/(-1) + 112/(-216)*-9)*-6. Solve h + 59 = 4*k + 38, -2*k + 18 = -z*h for h. -5 Let j = 36 + -38. Let y be (3 + j + 2)/(1/1). Let x be y/(-1 - 20/(-8)). Solve 0*o + 2*a = 4*o + 6, 0 = 2*o + x*a + 12 for o. -3 Let b(y) = -y**3 - 114*y**2 + 721*y + 120. Let o be b(-120). Solve -4*g + 5*k + 23 = o, 5 = 4*g + 11*k - 10*k for g. 2 Suppose 22*v = 28*v - 900. Suppose 26*y - 41*y = -v. Solve 2 = 4*u + j, 2*u + 0*u - 5*j = -y for u. 0 Suppose 0 = q - 2, 3 - 14 = -5*d + 2*q. Suppose -i = -d*i + i. Suppose -3*o = -6, 4*r + i*o = 3*o + 26. Solve 0 = 3*f + 3*t - 2*t - 10, 4*t + r = 0 for f. 4 Let f(n) = 15*n + 70. Let w be f(-4). Solve 3*q + w = 4*t, -5 = -q - 5*t + 17 for q. 2 Let z = 13788 + -13780. Solve 0 = -2*f + 4*x - 18, 34*x - z = -3*f + 33*x for f. 1 Let z(p) = p**2 - p + 3. Suppose 0 = -4*y - 6*y - 30. Let d = 0 - y. Let c be z(d). Solve -3*n + 9 = -4*i, 3*n = 4*i + i + c for i. 0 Let y(t) = -5*t**2 - 76*t - 253. Let o be y(-5). Suppose -a + 0*a = 5*j - 8, a - 6 = -3*j. Solve -19 - 16 = -5*f + a*r, -o*f = -r - 13 for f. 4 Suppose 10*k - 4 + 14 = 0. Suppose 0 = -4*j - 3*r + 7*r + 16, -5*j + 23 = -2*r. Let h = j - k. Solve 2*w = -0*w - h, 0 = -2*a + 5*w + 9 for a. -3 Suppose -4 + 6 = -b. Let k be b - 18/(-8) - (-159)/(-12). Let x = k - -15. Solve -2 + 5 = 3*g, x*h + 2*g = -6 for h. -4 Suppose -11*y = -102 - 19. Solve 12*j = y*j, 0 = 3*i + j for i. 0 Suppose 2730*l - 2748*l + 108 = 0. Let c(i) = 2*i + 10. Let m be c(-5). Solve -4*z - 3*n - 3 = m, 2*n - l*n - 4 = 3*z for z. 0 Suppose 84 - 57 = -c - 4*q, -60 = -4*c + 5*q. Solve c*v = 5*u - 15, -4*v + 5*v - 5*u = -11 for v. -1 Let n(k) = -k**3 + 6*k**2 - k + 25. Let d be n(5). Let q = 50 - d. Solve -4*l = -2*c + 8, -l - c + 3 = q for l. -2 Suppose 22*s + 326 + 422 = 0. Let v be s/153 + (-4)/(-18). Solve 4*i - 2*l = -6, -4*i + 2*l + 2*l - 16 = v for i. 1 Suppose 724*a - 725 = 463 + 260. Let h be (-32)/(-6) - (-1)/(-3). Solve -2*t = -5*k + 20, 0 = a*k - h + 1 for t. -5 Let c be 18 - 1/(12/156). Let r be 1*-1*0 - -13. Let u = -10 + 12. Solve -2*v = 3*v - 2*i + c, u*v + r = 3*i for v. 1 Let s = 11 + -1. Let n = -824 + 828. Solve 3*c - s + 4 = 3*t, n*c = -3*t - 13 for t. -3 Suppose -15*c + 267 = -858 - 1620. Solve -203 = 3*a + 5*l - c, -12 = -4*a + 3*l for a. 0 Let g(o) = o**2 + 24*o + 90. Let i be g(-4). Solve l - 3 = -2*z, -z - 2*l + i = 7 for z. 1 Let a be 644/(-34) - (-62)/(-1054). Suppose -30 = -2*h + 64. Let n = h + a. Solve 5*i = 2*i - 5*z + n, 5*i = -3*z + 20 for i. 1 Let l(x) = -3*x**2 - 16*x. Let g be -2 + (-210)/(5/(-1)). Suppose 11 = 5*u - 14, 4*u = 4*c + g. Let y be l(c). Solve 2*h + 6 = -3*h - 4*v, 4*v - 14 = y*h for h. -2 Let s = -104 - -77. Let i = -22 - s. Solve 0*y - 2*y - i = -3*h, -2*y = 2 for h. 1 Let m(n) = n**3 - 4*n**2 + 4*n. Let k be m(3). Suppose j - 2*x - 27 + 4 = 0, -x = 4. Suppose -k*u + j = 2*u. Solve -d = u*w - 2 - 3, -10 = -2*d - w for d. 5 Suppose 133*a - 123*a = -72*a + 246. Solve 5*r - b + 2*b = -a, -3*r + 3 = -b for r. 0 Let c be 0/2 - (-62 - -62). Sup
{ "pile_set_name": "DM Mathematics" }
th term of 2243, 4512, 6831, 9194, 11595, 14028, 16487? -b**3 + 31*b**2 + 2183*b + 30 What is the f'th term of -48839, -97739, -146639, -195539, -244439? -48900*f + 61 What is the x'th term of -11373, -11290, -11005, -10416, -9421, -7918, -5805, -2980? 17*x**3 - x**2 - 33*x - 11356 What is the p'th term of 84618, 93320, 102022, 110724, 119426? 8702*p + 75916 What is the w'th term of 8037, 64182, 216577, 513348, 1002621, 1732522, 2751177? 8021*w**3 - w**2 + w + 16 What is the v'th term of 16105, 64252, 144485, 256804? 16043*v**2 + 18*v + 44 What is the r'th term of -3, -99, -293, -615, -1095, -1763, -2649? -5*r**3 - 19*r**2 - 4*r + 25 What is the i'th term of -93711, -93052, -92393, -91734, -91075, -90416? 659*i - 94370 What is the d'th term of -282, -2767, -9766, -23535, -46330, -80407, -128022, -191431? -376*d**3 - d**2 + 150*d - 55 What is the n'th term of 1825698, 3651425, 5477150, 7302873, 9128594, 10954313, 12780030? -n**2 + 1825730*n - 31 What is the d'th term of -62920, -62768, -62612, -62452? 2*d**2 + 146*d - 63068 What is the w'th term of -5080, -7527, -11598, -17299, -24636, -33615, -44242, -56523? -w**3 - 806*w**2 - 22*w - 4251 What is the s'th term of -47597, -47619, -47641, -47663? -22*s - 47575 What is the n'th term of 100, 798, 2782, 6694, 13176, 22870, 36418, 54462? 107*n**3 + n**2 - 54*n + 46 What is the g'th term of -4548, -4297, -3626, -2325, -184? 35*g**3 + 6*g - 4589 What is the c'th term of -153774, -307217, -460654, -614079, -767486, -920869, -1074222? c**3 - 3*c**2 - 153441*c - 331 What is the k'th term of -411, -789, -1085, -1227, -1143, -761? 12*k**3 - 31*k**2 - 369*k - 23 What is the q'th term of 5677, 6322, 6965, 7606, 8245? -q**2 + 648*q + 5030 What is the n'th term of 13808576, 13808578, 13808580, 13808582, 13808584, 13808586? 2*n + 13808574 What is the m'th term of -1382, -2953, -4826, -7001, -9478, -12257? -151*m**2 - 1118*m - 113 What is the q'th term of 2740013, 2740008, 2740003, 2739998, 2739993, 2739988? -5*q + 2740018 What is the i'th term of 1837541, 1837531, 1837521, 1837511, 1837501? -10*i + 1837551 What is the b'th term of 432, 1704, 3760, 6582, 10152, 14452, 19464, 25170? -3*b**3 + 410*b**2 + 63*b - 38 What is the o'th term of 258829, 2070625, 6988377, 16565065, 32353669, 55907169, 88778545? 258830*o**3 - 2*o**2 - 8*o + 9 What is the x'th term of 1429, 3059, 5587, 9013, 13337, 18559? 449*x**2 + 283*x + 697 What is the k'th term of -191260, -191386, -191512, -191638, -191764, -191890? -126*k - 191134 What is the t'th term of 2573, 2525, 2485, 2465, 2477, 2533, 2645? 2*t**3 - 8*t**2 - 38*t + 2617 What is the d'th term of -4931, -19040, -42535, -75410, -117659? d**3 - 4699*d**2 - 19*d - 214 What is the p'th term of 8225, 8267, 8357, 8513, 8753, 9095, 9557, 10157? 3*p**3 + 6*p**2 + 3*p + 8213 What is the v'th term of 8689, 17265, 25743, 34123, 42405, 50589, 58675? -49*v**2 + 8723*v + 15 What is the o'th term of -1231, -536, 181, 920, 1681? 11*o**2 + 662*o - 1904 What is the a'th term of 11221609, 11221618, 11221633, 11221654? 3*a**2 + 11221606 What is the w'th term of 318746, 1274735, 2867966, 5098439? 318621*w**2 + 126*w - 1 What is the w'th term of 1299000317, 1299000316, 1299000315, 1299000314? -w + 1299000318 What is the l'th term of 140472, 138899, 137326, 135753, 134180? -1573*l + 142045 What is the w'th term of -38008, -303699, -1024766, -2428897, -4743780, -8197103, -13016554? -37948*w**3 - 55*w - 5 What is the t'th term of -2853, -1613, 453, 3345, 7063, 11607? 413*t**2 + t - 3267 What is the b'th term of 742482, 2969459, 6681086, 11877363, 18558290, 26723867, 36374094? 742325*b**2 + 2*b + 155 What is the f'th term of 11592, 11576, 11574, 11604, 11684, 11832? 3*f**3 - 11*f**2 - 4*f + 11604 What is the v'th term of -23505, -46903, -70303, -93705? -v**2 - 23395*v - 109 What is the s'th term of -680693617, -1361387232, -2042080833, -2722774414, -3403467969, -4084161492, -4764854977? s**3 + s**2 - 680693625*s + 6 What is the o'th term of -1144247, -2288970, -3433693, -4578416? -1144723*o + 476 What is the l'th term of 957, 414, -1579, -5016, -9891? l**3 - 731*l**2 + 1643*l + 44 What is the x'th term of -2521, -2315, -1973, -1495, -881, -131, 755? 68*x**2 + 2*x - 2591 What is the d'th term of -7923433, -7923435, -7923437? -2*d - 7923431 What is the v'th term of 510389196, 1020778389, 1531167582, 2041556775, 2551945968, 3062335161? 510389193*v + 3 What is the v'th term of -59474, -119183, -178892, -238601, -298310? -59709*v + 235 What is the x'th term of -627, -1565, -3081, -5175? -289*x**2 - 71*x - 267 What is the z'th term of -3577324, -3577817, -3578322, -3578845, -3579392? -z**3 - 486*z - 3576837 What is the v'th term of -58044, -57487, -56930? 557*v - 58601 What is the b'th term of -28, -726, -1870, -3460? -223*b**2 - 29*b + 224 What is the h'th term of -5218, -8211, -13206, -20197, -29178, -40143, -53086? h**3 - 1007*h**2 + 21*h - 4233 What is the d'th term of -17578, -18007, -18410, -18787, -19138, -19463, -19762? 13*d**2 - 468*d - 17123 What is the f'th term of 131493, 131632, 131771, 131910, 132049? 139*f + 131354 What is the m'th term of -288157, -576335, -864513, -1152691, -1440869, -1729047? -288178*m + 21 What is the y'th term of -2510572, -2510560, -2510538, -2510500, -2510440, -2510352, -2510230, -2510068? y**3 - y**2 + 8*y - 2510580 What is the b'th term of -62622675, -62622684, -62622693, -62622702, -62622711? -9*b - 62622666 What is the w'th term of -177615, -355404, -533363, -711492, -889791, -1068260? -85*w**2 - 177534*w + 4 What is the t'th term of 66512, 66445, 66378, 66311, 66244, 66177? -67*t + 66579 What is the c'th term of 1026, 1782, 2522, 3240, 3930, 4586? -c**3 - 2*c**2 + 769*c + 260 What is the i'th term of -823, -323, 847, 3017, 6517, 11677, 18827? 55*i**3 + 5*i**2 + 100*i - 983 What is the s'th term of -25522388, -102089547, -229701480, -408358187, -638059668, -918805923, -1250596952? -25522387*s**2 + 2*s - 3 What is the p'th term of -1770876, -3541766, -5312656, -7083546, -8854436? -1770890*p + 14 What is the t'th term of 129139, 127909, 126679, 125449? -1230*t + 130369 What is the l'th term of -39373, -77049, -114727, -152407, -190089? -l**2 - 37673*l - 1699 What is the v'th term of 8185, 8254, 8323, 8392, 8461? 69*v + 8116 What is the t'th term of 1461606, 1461613, 1461634, 1461675, 1461742? t**3 + t**2 - 3*t + 1461607 What is the t'th term of -368542, -737057, -1105572, -1474087, -1842602, -2211117? -368515*t - 27 What is the y'th term of 5004, 4766, 4528? -238*y + 5242 What is the q'th term of 386370, 386168, 385966? -202*q + 386572 What is the t'th term of -24914, -28730, -32546, -36362, -40178? -3816*t - 21098 What is the f'th term of 10588340, 21176680, 31765020, 42353360, 52941700? 10588340*f What is the h'th term of 1280, 1181, 1004, 713, 272, -355, -1204? -6*h**3 - 3*h**2 - 48*h + 1337 What is the d'th term of -1087, -4811, -11191, -20221, -31895, -46207, -63151, -82721? d**3 - 1334*d**2 + 271*d - 25 What is the c'th term of -14861, -119229, -402517, -954185, -1863693, -3220501, -5114069, -7633857? -14910*c**3 + 2*c + 47 What is the x'th term of 161193, 160939, 160685? -254*x + 161447 What is the c'th term of -46610, -186334, -419210, -745238, -1164418, -1676750, -2282234? -46576*c**2 + 4*c - 38 What is the u'th term of -75510, -151582, -227654, -303726? -76072*u + 562 What is the k'th term of 23124976, 46249943, 69374910, 92499877, 115624844? 23124967*k + 9 What is the w'th term of 1270, 9970, 33540, 79414, 155026, 267810, 425200, 634630? 1239*w**3 + w**2 + 24*w + 6 What is the x'th term of -431705712, -863411427, -1295117142? -431705715*x + 3 What is the x'th term of 21360, 43171, 64996, 86841, 108712, 130615? x**3 + x**2 + 21801*x - 443 What is the z'th term of -283182, -283130, -283046, -282930, -282782, -282602, -282390? 16*z**2 + 4*z - 283202 What is the r'th term of 2142, 2296, 2544, 2886, 3322, 3852? 47*r**2 + 13*r + 2082 What is the k'th term of -4683, 937, 6557, 12177, 17797? 5620*k - 10303 What is the i'th term of 30365961, 60731922, 91097883, 121463844? 30365961*i What is the u'th term of -163660, -326510, -489358, -652204, -815048? u**2 - 162853*u - 808 What is the i'th term of -1919, -7753, -17647, -31739, -50167? -23*i**3 - 1892*i**2 + 3*i -
{ "pile_set_name": "DM Mathematics" }
697, 46656, 91111, 157436, 250005, 373192? 531371 What comes next: 1833, 966, -1365, -5892, -13347, -24462, -39969, -60600? -87087 What is the next term in 4477, 523, -6079, -15329? -27227 What is next in 30291697, 60583410, 90875123, 121166836, 151458549? 181750262 What is next in -7510, -30732, -69678, -124354, -194766, -280920, -382822? -500478 What comes next: -883158, -3532666, -7948506, -14130678? -22079182 What is next in -359, 627, 3495, 9187, 18645, 32811, 52627, 79035? 112977 What is the next term in -7742986, -30971934, -69686848, -123887728, -193574574, -278747386? -379406164 What is the next term in -15653548, -15653544, -15653540, -15653536, -15653532? -15653528 What is next in 22026025, 44052079, 66078133, 88104187, 110130241? 132156295 What comes next: 9416, 37848, 85302, 151778, 237276, 341796, 465338? 607902 What comes next: -15056481, -15056454, -15056427? -15056400 What is next in 29936, 119441, 268616, 477461? 745976 What is next in -93480, -93520, -93586, -93678? -93796 What is next in 45096, 90433, 135770, 181107, 226444, 271781? 317118 What comes next: 28190340, 28190340, 28190348, 28190370, 28190412, 28190480, 28190580, 28190718? 28190900 What is next in -3259119, -13036281, -29331551, -52144929, -81476415? -117326009 What is the next term in 26954, 54623, 82322, 110051? 137810 What is the next term in 2849198, 2849203, 2849208, 2849213? 2849218 What comes next: -6466637, -6466634, -6466629, -6466622? -6466613 What comes next: 66960, 67387, 68098, 69093, 70372? 71935 What comes next: 2034210, 4068028, 6101846? 8135664 What comes next: -3391, -6542, -9523, -12340, -14999? -17506 What is the next term in 20338, 81366, 183066, 325432, 508458? 732138 What is next in -1293162, -2586326, -3879490, -5172654, -6465818, -7758982? -9052146 What is next in -2336501, -2336505, -2336509, -2336513? -2336517 What is the next term in 63230, 61446, 58472, 54308, 48954? 42410 What is the next term in 3894, 16801, 38314, 68433, 107158, 154489, 210426? 274969 What comes next: 99, -415, -1247, -2385, -3817? -5531 What comes next: -478, -3068, -9290, -20704, -38870, -65348? -101698 What comes next: -504217, -504612, -505007? -505402 What is the next term in -2125922, -4251863, -6377804, -8503745? -10629686 What is the next term in 21875885, 21875908, 21875931, 21875954, 21875977? 21876000 What is the next term in -61539, -123122, -184689, -246240, -307775? -369294 What is the next term in 5997, 5363, 4727, 4089, 3449? 2807 What is the next term in -93, -137, -149, -141, -125, -113, -117? -149 What comes next: -8700, -9370, -10040, -10710, -11380, -12050? -12720 What is next in -47037, -46968, -46859, -46710, -46521, -46292, -46023? -45714 What is next in -5866, -12569, -19308, -26101, -32966, -39921? -46984 What is next in -3243977, -3243985, -3244005, -3244043, -3244105, -3244197, -3244325? -3244495 What is the next term in -128314, -256593, -384872, -513151, -641430? -769709 What is next in 3183, 4393, 5607, 6825, 8047, 9273, 10503? 11737 What is next in -80756, -80729, -80646, -80477, -80192, -79761, -79154, -78341? -77292 What comes next: 9351, 37219, 83683, 148737, 232375, 334591, 455379? 594733 What comes next: 73394, 146738, 220108, 293510, 366950? 440434 What is next in 79596, 159601, 239596, 319575, 399532, 479461, 559356? 639211 What comes next: 1852578, 3705537, 5558498, 7411461, 9264426, 11117393? 12970362 What is next in 569, 716, 961, 1316, 1793? 2404 What is the next term in -8796, -16428, -24058, -31686, -39312? -46936 What is the next term in 596680, 1193369, 1790046, 2386699, 2983316? 3579885 What is the next term in -64210085, -64210084, -64210083, -64210082? -64210081 What is the next term in -15, 147, 139, -123, -723, -1745, -3273, -5391? -8183 What is the next term in -106643985, -106643991, -106643997, -106644003? -106644009 What comes next: -33954, -33921, -33884, -33837, -33774, -33689, -33576? -33429 What comes next: -29509, -57086, -84663, -112240? -139817 What is next in 57558, 57607, 57650, 57687? 57718 What comes next: -2827579, -2826699, -2825831, -2824981, -2824155, -2823359, -2822599? -2821881 What is next in -781374, -3125900, -7033580, -12504414, -19538402, -28135544? -38295840 What is the next term in -1124898, -1124910, -1124922, -1124934, -1124946? -1124958 What comes next: -155000, -155261, -155512, -155747, -155960, -156145, -156296? -156407 What is the next term in -195364, -1564029, -5278972, -12513331, -24440244, -42232849, -67064284? -100107687 What is the next term in 26174049, 52348098, 78522147, 104696196, 130870245, 157044294? 183218343 What is next in 11679, 22901, 34123, 45345, 56567, 67789? 79011 What comes next: 69969, 69971, 69973? 69975 What is the next term in 14134, 57994, 131584, 234904? 367954 What is the next term in 401816, 401685, 401526, 401327, 401076, 400761? 400370 What comes next: -9605404, -19210815, -28816228, -38421643? -48027060 What comes next: 777725, 1555415, 2333103, 3110789, 3888473, 4666155, 5443835? 6221513 What comes next: -410153, -820222, -1230205, -1640102, -2049913, -2459638, -2869277? -3278830 What is next in -10475, -20736, -31009, -41300, -51615, -61960, -72341? -82764 What is the next term in -11191, -22603, -34093, -45661? -57307 What is the next term in 91104, 91035, 90950, 90843, 90708, 90539, 90330? 90075 What is next in 239258, 239294, 239330, 239366, 239402, 239438? 239474 What is the next term in -1332228, -2664471, -3996714, -5328957? -6661200 What is the next term in -1305249, -5220923, -11747047, -20883621, -32630645? -46988119 What is next in -9497455, -18994904, -28492353, -37989802, -47487251? -56984700 What is the next term in -1462762, -2925826, -4388890, -5851954, -7315018, -8778082? -10241146 What is next in 57124, 456940, 1542150, 3655450, 7139536? 12337104 What is next in -13128, -13951, -14774, -15597, -16420, -17243? -18066 What comes next: -1370, -2490, -3620, -4766, -5934, -7130, -8360? -9630 What comes next: -11325, -90667, -306047, -725493, -1417033, -2448695, -3888507, -5804497? -8264693 What is the next term in 177, 161, 131, 81, 5? -103 What is the next term in 1563522, 3127062, 4690602, 6254142? 7817682 What comes next: 50745, 49615, 48485, 47355? 46225 What is the next term in -480994242, -480994243, -480994244? -480994245 What is the next term in 3179142, 6358308, 9537474, 12716640, 15895806, 19074972? 22254138 What is next in 18836, 150661, 508446, 1205165, 2353792, 4067301, 6458666, 9640861? 13726860 What is the next term in 109405, 217242, 325079? 432916 What comes next: 277, 495, 785, 1147, 1581, 2087? 2665 What is next in -1662, -5635, -12250, -21507? -33406 What is next in -582811, -582808, -582803, -582796? -582787 What is next in 196002, 199154, 202306, 205458? 208610 What comes next: 1262, 1248, 1194, 1082, 894, 612, 218, -306? -978 What is next in 19233, 38515, 57845, 77223? 96649 What is next in -1210, 957, 4570, 9629? 16134 What is the next term in 243145, 243059, 242973? 242887 What is next in -193657, -774613, -1742869, -3098425, -4841281, -6971437, -9488893? -12393649 What is the next term in -83474396, -83474397, -83474398, -83474399, -83474400? -83474401 What is next in 1082726, 1082724, 1082722, 1082720? 1082718 What is the next term in 44408, 77895, 111382? 144869 What is next in -2800763, -5601590, -8402417, -11203244? -14004071 What comes next: -85911, -86138, -86507, -87012, -87647? -88406 What is next in 625145, 625166, 625195, 625232, 625277, 625330, 625391? 625460 What comes next: 1185682, 1185692, 1185712, 1185742, 1185782, 1185832, 1185892? 1185962 What is the next term in -228, 2714, 12038, 30936, 62600? 110222 What comes next: 153662458, 307324931, 460987416, 614649919, 768312446, 921975003, 1075637596? 1229300231 What is the next term in 113118, 226744, 340370, 453996? 567622 What is next in -247, -748, -1779, -3610, -6511? -10752 What comes next: 4950, 7313, 9664, 11997, 14306? 16585 What is the next term in 1296, 10083, 33752, 79689, 155280? 267911 What is the next term in -3566, -3555, -3528, -3485, -3426? -3351 What is next in -168785, -337598, -506399, -675188, -843965, -1012730? -1181483 What is next in 415071, 1660251, 3735553, 6640983, 10376547? 14942251 What comes next: -5293, -6671
{ "pile_set_name": "DM Mathematics" }
*3/6 + 12*j - 21. Let v(q) be the first derivative of z(q). What is the second derivative of v(w) wrt w? -360*w**3 Let t(i) be the first derivative of -6*i + 0*i**3 + 0*i**2 + 9/4*i**4 + 22. Differentiate t(y) wrt y. 27*y**2 Suppose -3 = -4*v - 7. Let x(i) = i**4. Let n(t) = -2*t - 32*t**4 + 62 - 62 - 6*t. Let a(d) = v*n(d) - 24*x(d). Find the second derivative of a(s) wrt s. 96*s**2 Let n be (1 - (-3 + 4))/(-1). Let c = 3 + n. Find the third derivative of 12*d**3 - 15*d**c - 3*d**2 + 5*d**3 wrt d. 12 Let b(d) = 174*d**3 - 11*d - 179. Let m(w) = 35*w**3 - 2*w - 36. Let a(u) = 6*b(u) - 33*m(u). Differentiate a(i) wrt i. -333*i**2 Let m(y) be the first derivative of 0*y + 0*y**3 + 3*y**4 - 5/2*y**2 + 5. What is the second derivative of m(d) wrt d? 72*d Let u(p) = -p**3 + p**2. Let y(k) be the first derivative of -k**4 - 4*k**3/3 - 3*k + 12. Let z(w) = -4*u(w) - y(w). Differentiate z(v) wrt v. 24*v**2 Let z(w) be the third derivative of w**6/24 + w**5/30 + 23*w**4/6 + 23*w**2 + w. Find the second derivative of z(k) wrt k. 30*k + 4 Let n(w) be the first derivative of -7*w**5 - w**4/4 + 40*w**3/3 + w**2 + 60. What is the third derivative of n(s) wrt s? -840*s - 6 Suppose -3*m + m + 6 = 0. What is the third derivative of 71*c**3 - 90*c**m + 3*c**2 + 9 - c**4 - 4 wrt c? -24*c - 114 Suppose 3*b + 1 = x, x + b = -3*b - 6. Let p be 1/(-2) + (-5)/x. What is the third derivative of p*z**2 + 0*z**3 + z**3 + 5*z**2 wrt z? 6 Let f(s) be the first derivative of 9 + 19*s - 18/5*s**5 + 0*s**2 + 0*s**3 + 0*s**4. What is the derivative of f(y) wrt y? -72*y**3 Let s(k) be the first derivative of -21*k**5/5 + 3*k**4/4 + 8*k**2 + 523. What is the second derivative of s(p) wrt p? -252*p**2 + 18*p Let h(d) be the first derivative of 2*d**4 - 12*d**2 - 324*d - 193. Find the first derivative of h(c) wrt c. 24*c**2 - 24 Let v(m) = -20*m + 20*m + m**2 - 4*m**3 + m**2. Let y(g) = 9*g**3 - 3*g**2. Let r(l) = -14*v(l) - 6*y(l). What is the third derivative of r(j) wrt j? 12 What is the third derivative of -5*j**2 + 2*j**2 + 14*j**2 + 82*j**5 + 3*j wrt j? 4920*j**2 What is the second derivative of -3 + 6*r**2 - 6*r**2 - 2*r**2 - 62*r + 0*r**2 + 40*r**4 wrt r? 480*r**2 - 4 Let w(f) be the first derivative of -f**6/3 - 8*f**5/5 + 115*f**3/3 + 107. What is the third derivative of w(v) wrt v? -120*v**2 - 192*v Let b be 4/14 - 38/(-14). Let a = -90 + 92. Find the third derivative of 6*w**2 + a*w**2 + 3*w**b - w**2 - 9*w**3 wrt w. -36 Let x(f) be the first derivative of 16 - 7 + 5*f - 4*f**3 + 7*f**3. What is the derivative of x(g) wrt g? 18*g Let g(i) be the first derivative of 79*i**2 - 107*i - 31. Differentiate g(b) wrt b. 158 Let d be 1*3/(-12)*-12. Let t be (-10)/(-3) - (-2)/d. Differentiate -4*n**3 - t - 3*n**3 + 0*n**3 + 5*n**3 wrt n. -6*n**2 What is the third derivative of 49*f**3 + 36*f**3 + 61*f**2 - 5 + 5 - 324*f**2 wrt f? 510 Let v(b) = -2*b. Let h be v(-1). What is the third derivative of 5*p**6 + 4*p**6 - 7*p**6 - 3*p**2 - 7*p**h wrt p? 240*p**3 Let m(k) be the first derivative of 55*k**4 - 245*k - 289. Differentiate m(p) wrt p. 660*p**2 Let c(n) = -n**3 - 7*n**2 - 6*n + 2. Let q be c(-6). Let d be (-8)/(-32) + (-11)/(-4). Differentiate -q*x**2 + 2 + d + 10*x**2 wrt x. 16*x Let v(f) = -f**3 + f. Let r(o) = 116*o**5 - 7*o**3 + 224*o. Let a(u) = 2*r(u) - 14*v(u). What is the second derivative of a(x) wrt x? 4640*x**3 Let k(f) = -171*f - 351. Let u(z) = 173*z + 351. Let o(l) = -5*k(l) - 4*u(l). What is the first derivative of o(v) wrt v? 163 Let w(k) be the first derivative of 50*k**6/3 - 2*k**5/5 - 231*k**2/2 + 116. Find the second derivative of w(d) wrt d. 2000*d**3 - 24*d**2 Let k(p) be the third derivative of 0*p**3 + 0*p + 0*p**6 + 15*p**2 + 0*p**7 + 3/8*p**4 + 0*p**5 - 1/42*p**8 + 0. What is the second derivative of k(z) wrt z? -160*z**3 Let d(q) = q**2 - q + 1. Let i be d(-2). Suppose -3*c + i*c - 16 = 0. Differentiate 2 - v + c*v - 5*v wrt v. -2 Let j(b) be the first derivative of 0*b**5 + 17 - 4/3*b**6 + 0*b + 0*b**4 + 0*b**2 + 5/3*b**3. Find the third derivative of j(x) wrt x. -480*x**2 Let b(y) be the second derivative of -y + 0*y**4 + 7/3*y**3 - 1/7*y**7 + 0*y**2 + 0*y**6 + 0 + 0*y**5. What is the second derivative of b(s) wrt s? -120*s**3 Let u(b) = 4*b**2 + 12*b + 20. Let c be u(-7). Differentiate 259 + 3*l - 137 - c wrt l. 3 Let x(j) = j**2. Let l(w) = -9*w**2 + 5*w - 10. Let r(k) = l(k) - 6*x(k). Find the second derivative of r(u) wrt u. -30 Let a(s) = -262*s + 219. Let z(h) = 263*h - 215. Let k(t) = 6*a(t) + 5*z(t). Find the first derivative of k(j) wrt j. -257 Suppose -3*z + 4 + 2 = 0. Let y(h) = -h**3 - 5*h**2 + h + 7. Let w be y(-5). Find the second derivative of 9*f + f**w + f**z + 6 - 6 wrt f. 4 Let q(t) be the first derivative of 11*t**9/504 + 13*t**5/60 + 3*t**2 + 15. Let b(s) be the second derivative of q(s). Find the third derivative of b(d) wrt d. 1320*d**3 Let y(s) be the third derivative of -1/60*s**6 - 1/4*s**4 + 0*s**5 + 0 + 0*s + 0*s**3 + 17*s**2. What is the second derivative of y(p) wrt p? -12*p Let w(u) be the second derivative of 42*u**6/5 - u**4/4 + 13*u**2/2 - 28*u. Find the third derivative of w(v) wrt v. 6048*v Suppose 0 = -4*v - 4, 198 - 556 = -5*o + 3*v. What is the first derivative of 2*i**3 + 75 + o - 123 wrt i? 6*i**2 Let j(b) be the first derivative of -b**3 + 0*b + 0*b**6 + 0*b**2 + 0*b**5 - 13 + 13/7*b**7 + 0*b**4. What is the third derivative of j(o) wrt o? 1560*o**3 Let h(q) be the second derivative of -5*q**8/28 - q**7/14 - q**4/12 - 11*q**3/3 - 460*q. What is the third derivative of h(o) wrt o? -1200*o**3 - 180*o**2 Let x(n) = 502*n**2 - 1014*n + 7. Let k(y) = 167*y**2 - 338*y + 2. Let z(f) = 7*k(f) - 2*x(f). Find the second derivative of z(o) wrt o. 330 Suppose 3*w - w = 48. What is the second derivative of -w*t**2 + 4*t**2 + 34*t - 9*t**2 wrt t? -58 Let o(k) be the second derivative of -11/56*k**8 - 2/3*k**4 + 0 + 0*k**3 + 0*k**2 + 0*k**6 + 0*k**7 + 0*k**5 - 7*k. Find the third derivative of o(z) wrt z. -1320*z**3 Let u = -16 - -13. Let w(f) = -7*f**4 - 17. Let g(s) = -2*s**4 - 6. Let z(j) = u*w(j) + 8*g(j). What is the derivative of z(h) wrt h? 20*h**3 Suppose 15*v + 12 = 17*v. Differentiate -12 + 26 - 2 - v + 18*a wrt a. 18 Suppose 4*m + a - 12 = 3*m, -4*m + 3*a + 41 = 0. Find the second derivative of 4*p - 12*p**2 + m*p - 4*p**2 wrt p. -32 Let z(k) = -1603*k + 353. Let g(t) = -401*t + 89. Let f(v) = -18*g(v) + 4*z(v). Find the first derivative of f(u) wrt u. 806 Let u(l) = -146*l**2 + 40*l + 5. Let v(h) = -300*h**2 + 81*h + 11. Let k(z) = -7*u(z) + 3*v(z). What is the second derivative of k(q) wrt q? 244 Suppose 40 = -4*m - 56. Let c = 36 + m. Differentiate -c*z - 9 + 7*z - 4*z with respect to z. -9 Let f(b) be the first derivative of -17*b**5/120 - 5*b**4/6 + 49*b**3/3 - 38. Let d(w) be the third derivative of f(w). Differentiate d(q) with respect to q. -17 Find the third derivative of -126*r**3 - 43*r**2 + 30*r - 46*r**2 + 86*r**2 wrt r. -756 Let k be 3 - 1 - -9 - -1. Let h be (-29)/(-9) - k/54. What is the third derivative of -8*v**3 + 2*v**2 + 2*v**h + 0*v**2 wrt v? -36 Suppose 4*f - 128 = -3*z, -136 = -4*f - 7*z + 2*z. Find the third derivative of -11*c**3 + 38*c**2 - 6*c**3 - f*c**2 - 26*c**2 wrt c. -102 Let s = 178 - 143. Let z(f) = f**3 + 7*f - 2. Let h(c) = -c - 1. Let b(m) = s*h(m) + 5*z(m). What is the derivative of b(a) wrt a? 15*a**2 Differentiate 0*t - 2*t + 8405*t**4 - 8407*t**4 + 160 with respect to t. -8*t**3 - 2 Let q(z) be the first derivative of 35*z**4/4 + 2*z**3 - 52*z**2 - 3*z - 425. What is the second derivative of q(t) wrt t? 210*t + 12 Let s(n) = -384*n**3 - 28*n**2 - 24*n - 14. Let t(f) = 192*f**3 + 14*f**2 + 13*f + 8. Let w(o) = -4*s(o) - 7*t(o). What is the third derivative of w(v) wrt v? 1152 Let z be (-28)/(-21)*(-4)/(4/(-3)). Find the second derivative of -2*w**z - 4*w**4 - 15*w - 7 + 7 wrt w. -72*w**2 Let q(i) be the third derivative of -i**6/40 - 11*i**5/30 - i**2 + 32*i. What is the third derivative of q(w) wrt w? -18 Suppose -7*j = -3*j - k + 19, -34 = 4*j + 2*k. Let c be 5/3 - 2/j. What is the second derivative of 23*h - 27*h + 4*h**c - h**2 wrt h? 6 Let k = 12 + -12. Suppose -c = -k*c - 5. Find the second derivative of 3*d**3 - 2 + 4 - 2 - c*d wrt d. 18*d Let h = 22 - 18.
{ "pile_set_name": "DM Mathematics" }
t x be b(a). Solve -4*u - 5*s + 25 = 3, x*u - t = -s for u. 3 Suppose 0*h + 4*m = h - 12, -5*h = -5*m - 30. Solve -h*r + r + 4*f = -13, -4*f - 12 = -4*r for r. -1 Suppose -p = -9 - 1. Solve 0 = -3*s + v - 5, 0 = 4*s + 4*v - 2*v - p for s. 0 Let h(k) = k**2 - 1. Let a(v) = v**3 - 9*v**2 - 4*v + 1. Let g(n) = -a(n) - 4*h(n). Let q be g(5). Solve -5*i - 2*o + q = 0, -2*i - 4*o = -0*o - 6 for i. 5 Let h(u) = u**3 - 5*u**2 + 3*u + 9. Let g be h(4). Solve 5*x - 4*n = -7, n = g*x + 4*n - 14 for x. 1 Let o be (-3)/3 - (-3 - -1). Let r(s) = 26*s**2. Let b be r(o). Solve -5*t + b = 4*l, 0*l = -5*t + l + 6 for t. 2 Let y(o) = o**2 - 4*o + 3. Let q be y(3). Suppose -5*f + 25 = q, 3*p + 5*f = 62 - 25. Solve u + 5*d + 3 = 3*d, 2*d = p*u - 8 for u. 1 Let j(d) = -d - 13. Let h be j(-13). Solve h*x + 1 = -2*x - 3*r, -4*x + 3*r - 11 = 0 for x. -2 Let i(a) = a + 7. Let q be i(-7). Suppose -7 = -5*d - 4*o - 1, 0 = d + o - 1. Suppose d*b - 5*b + 12 = q. Solve -5 = f - 2*f + 5*m, -5*f + 25 = -b*m for f. 5 Suppose -35 = -3*l + 4*t, -l + 2*t + 2 + 7 = 0. Solve -3*j + 7*c - 19 = 2*c, 0 = -5*j + c - l for j. -3 Suppose m = -4*m + 10. Let s(f) = f**2 - 2*f + 3. Let g be s(m). Let n(o) = 3*o - 1. Let d be n(1). Solve -2*b + 2*j = 0, -d*j + g*j = -4*b + 25 for b. 5 Let t = 2 - 2. Suppose -8 = -t*o - o. Suppose -s = 3*s - o. Solve s = 4*p + 5*j - 1, -4*p + 9 = -j for p. 2 Suppose 5 = 5*x - 5. Solve x*h - 14 = -2*g, 5*h + 4*g = 2*h + 26 for h. 2 Suppose 7*f = 2*f + 6*f. Solve 4*t - 5*s = -6, f = 5*t + 7*s - 2*s - 15 for t. 1 Let c = 96 - 92. Solve -4*z = c*g + 12, 5*z = -7*g + 3*g - 10 for g. -5 Suppose -4*b + 10 = -10. Solve -6*u + 10 = -2*u - 5*c, -6 = -b*u + 3*c for u. 0 Let u(k) = k**3 + 7*k**2 + 6*k. Let t be u(-6). Solve -i + 2*h = -2, t = i - 0*h - 4*h - 8 for i. -4 Let s be (-20)/(-6) - (-1)/(-3). Solve -j + 10 = s*g, -4*g + 9 = -j - 2*j for g. 3 Suppose 5*b = 4*a + 7, -2*b + 6*a - 3*a = 0. Suppose 2*x - 3*g = 22, 2*x - 4 = -2*x - 4*g. Solve x*v - 22 = b*y, 0 = 3*y - 6*y - v - 10 for y. -4 Let a = -10 + 13. Suppose -32 = -5*s + 4*u, -11 = s - a*s + u. Solve 2*v + 2*i - 4 = 6*v, 8 = 2*v + s*i for v. 0 Let n(i) = i**3 - 7*i**2 + 5*i + 4. Let z be n(6). Let x = 2 - z. Solve -3*d - 4*s - 2 = -d, 5*d = x*s + 37 for d. 5 Suppose 4*i = -0*f - 3*f + 19, 0 = 5*i + 10. Suppose 5*z = p, 3*z - f = -3*p + 9. Solve 2*w - 3*y = -15, -3 = p*w - 2*y + 6*y for w. -3 Let n = -16 + 19. Suppose 1 - 13 = -n*q. Solve -4*t - 7 = 4*h + 1, 12 = -2*h - q*t for h. 2 Suppose 16*h = 9*h. Solve -l = g - 3*g - 6, h = -5*l - 2*g + 6 for l. 2 Suppose -7 = -9*a + 11. Let q(t) = t**3 + 6*t**2 - 2*t - 8. Let n = 10 + -16. Let p be q(n). Solve p*b - 13 = b + c, 4*b = -a*c + 14 for b. 4 Suppose 0 = 2*n + 9 - 19. Solve -3*y = -v - 8 - 3, -n*y + 2*v + 17 = 0 for y. 5 Let j = 75 - 73. Solve 3*h + 12 = -2*n - j*h, -3*n + h - 1 = 0 for n. -1 Let m be 12/(-18) - (-74)/3. Solve 2 = i, -m = n - 5*n - 4*i for n. 4 Let b = 16 - 12. Solve 3*w = 5*a + 31, a + 2 = -b*w + 5 for w. 2 Let h be 1/3 - (-336)/(-36). Let q be h/3*(-2)/6. Solve -4*g = f - 19, -21 = -4*f - 2*g - q for f. 3 Let x = 58 + -38. Suppose 0 = -2*h - 4*b + x, -3*b + 9 = 0. Suppose 3*u - 2*u = 3. Solve 0 = -y, 0*s = -2*s + u*y + h for s. 2 Suppose 7*z = 10*z - 2*d - 15, 0 = 3*d + 9. Solve z*n + 3 + 6 = 0, 0 = l + 5*n + 18 for l. -3 Let c be 55/11 + (0 - 1). Solve 0 = -a - y + 6, -y + 12 = -a + c*y for a. 3 Let b be 7/(7/24)*1. Solve 2*f - b = 5*x + f, -5*x - 5*f = 0 for x. -4 Suppose 0 = 4*l - 1 - 7. Solve -5*b = -25, b - 8 = l*t + 3 for t. -3 Suppose -3*t = -5*t. Solve 3*m + 4*h + 18 = t, 5*m - 3*h = 2*h + 5 for m. -2 Let m(f) = f**3 + 4*f**2 - f - 2. Let q be m(-4). Let c(b) = 7*b - 8*b + 2*b**2 - 2 + 0*b**2. Let o be c(q). Solve -3*n + 22 = -5*g, 3*n = -o*g - 9 - 14 for g. -5 Let d be (1/3)/(1/3). Let y = -180 + 183. Solve 2*p = d - 11, -3*t = -y*p - 3 for t. -4 Let r be (-1 + 3/2)*24. Let b = r + -5. Let y(n) = 2*n - 15. Let c be y(10). Solve -12 = -4*a, -c*a + b = -6*p + 2*p for p. 2 Let y = -72 + 115. Let c be 12/2 + 4/4. Solve 5*o + 16 - y = -3*i, 3*o = 4*i - c for o. 3 Suppose -2*c = -10 + 2. Suppose -c*t + 1 = -5*n + 9, 5*t + 10 = 5*n. Solve 2*z - 6 = n, 0 = -0*s + 3*s - z + 18 for s. -5 Let k = 4 - 2. Solve m - 6 = -b, 3*b - 19 = k*m - 6*m for b. 5 Let x be 180/12*1/3. Solve 3*n + 12 = -5*m, -m + x = -3*n + 11 for n. 1 Suppose 4*h = -3*x, -6*x = -4*x + 5*h. Let o(p) = -p**2 + 3*p + 3. Let w be o(3). Solve 4*a = 5*j + 17, x*j - 21 = w*a + 3*j for a. -2 Let l(s) = s - 3. Suppose -5*o + 24 = -o. Let w be l(o). Solve 6 = -3*g + i, 0 = -5*g - 5*i - w - 7 for g. -2 Let a = 1 - 3. Let x be 6 - a/(1 + -3). Solve x*f - 31 = -s - 10, 4*f + 4*s - 20 = 0 for f. 4 Let u = 9 - 29. Let r be u/(-5) - 1*3. Solve 5*n - r - 24 = 0, -5*v - 30 = -4*n for v. -2 Let n(q) = q**2 - 6*q + 6. Let m be n(4). Let z = 7 + m. Solve -10 = 2*o, -4*h - 20 = h + z*o for h. 1 Let m = -7 + 8. Solve 3*o + 3 = -2*w, -4*w + 4 = -3*o + m for o. -1 Suppose 0 = 3*b - 3*n - 18, -3*b + 4*n - 3*n + 20 = 0. Solve 7 = 3*c + 5*v, -5*c + 4*v + b = -17 for c. 4 Suppose -2*o = 2*g - 6, 2*g - 16 = o - 5*o. Let y be (g/6)/(1/(-6)). Solve 2*h = 5*j + 9, -j - 11 = -4*h - y for h. 2 Suppose 2*d + 41 = 3*l - 6, -3*d = 5*l - 53. Suppose -3*o + 4 + l = 4*i, -o - 4*i + 11 = 0. Solve 5*s - 1 = 3*j, -6 + o = -j for s. 2 Suppose -o - m - 10 = -4*o, -3*o + 3*m + 6 = 0. Solve g = o*i - g - 8, 5*i = -4*g + 23 for i. 3 Let s = 26 - 17. Let a = s + -6. Suppose -2*y + 16 = -0*y. Solve a*k - 4*k + y = 2*n, -2*n = -4*k - 8 for k. 0 Let n(u) = -u**3 + 9*u**2 + 5. Let x = -16 + 25. Let b be n(x). Let g(c) = 3*c - 3. Let d be g(2). Solve -d = 5*s + p, -4*p + 3 = -b for s. -1 Let a(y) = y**3 + 6*y**2 + 4*y - 2. Let b be a(-5). Solve -11 = -o + 3*g, -g - 37 = b*o + 4*g for o. -4 Let l be 17 + -9 - 3*1. Suppose 3*m - l*h + 16 - 51 = 0, 0 = m + 4*h + 11. Solve -4*w + 8 = 0, 0 = n + m*w - 8 - 4 for n. 2 Let f(v) = -8*v - 1. Let o be f(-4). Suppose -3 = g - o. Suppose n - 4 = y - 2, 2*y - 12 = -2*n. Solve -g = 4*b + n*l, 0 = -l - 4 for b. -3 Suppose -4*x + 0*i + 4*i = -20, -3*i = 4*x - 20. Suppose x*a - 2 = 4*a. Solve 3*f = -2*r + 4*f - 11, -4*f + 20 = -a*r for r. -4 Let g(y) = y - 7. Let s be g(3). Let n = -1 - s. Let q be -1*(-3 + 1 - n). Solve m = -m + 10, -m = -q*i - 20 for i. -3 Suppose -4*o = -7*o. Suppose 5*d - 15 = -o*d. Suppose 2*x - 16 = -3*y, -y - 2*x + d = -9. Solve -5*a - 35 = -0*l - y*l, a = -l for a. -5 Let v(f) = f**3 + 6*f**2 - 4*f - 9. Let c be 5/(-1)*(-4)/(-5). Let q = c - 2. Let t be v(q). Solve x = -2, 5*m - 2*m = 3*x + t for m. 3 Let i(d) = d**3 + 9*d**2 + 7*d + 4. Suppose -8 = 3*s - 2*s. Let n be i(s). Suppose -n = -3*m - 3. Solve -5*b = -m*g + 16, 3*g = -4*b + 1 - 3 for g. 2 Let y(b) = 2*b**2 - b - 26. Let v be y(-4). Solve -7 = 3*d - l, d + 2*l + 3 = v for d. -1 Let k = -100 + 100. Solve -4*s + 2*y + 3*y = 8, 2*s + 5*y + 4 = k for s. -2 Let a = 7 + -4. Solve 3 = 5*y + a*c - 4, 0 = -y - 2*c + 7 for y. -1 Suppose c = -2*c. Solve -4*m + 3*p = 24, c = -5*m - 3*p - 2 - 1 for m. -3 Suppose 0*s + 2*s = 0. Suppose t - q + 9 = 4*t, s = -3*q. Solve -2*z + 3*z + 4 = -v, -5 = -4*v + t*z for v. -1 Let h be (-27)/(-45) + (72/(-15))/(-2). Solve -2*f - 2*f = 4*s + 4, 4*s - h*f = -25 for s. -4 Suppose 30 + 5 = 5*t - 4*u, 0 = 3*t + u - 38. Let n = 16 - t. Solve 0 = -3*g - 4*w + 3, w = -g - 4*g + n for g. 1 Let x = 39 + 7. Let m be x/4 - (-2)/4. Suppose -3*j + m = -0. Solve -f - 1 = 4*i + 12, -2*i = -j*f + 2 for i. -3 Let b(l) = l**2 - 6*l**2 + 4*l**2 - 2 - 4*l + 3. Let p be b(-3). Solve 5 = -4*z - 4*u + 17, -p = -2*u for z. 1 Let p = 43 - 26. Solve 0*f - f - 3*k + p = 0, -19 = 3*f - 5*k for f. 2 Let z(u) = -u**2 - 9*u - 2. Let o(m) = 5*m**2 + 35*m + 9. Let h(s) = 2*o(s) + 9*z(s). Let i be h(11). Solve i = 4*p - k + 11, -p - 2*p = -2*k + 12 for p. -2 Let c be -2*(-1 - -2) + 9. Solve -5*g + v - 13 = 0, -g + 3 + c = 4*v for g. -2 Let k(r) = r + 10. Let p be k(-2). Solve 3*f + 4*b - b = 12, -p = -2*f - b for f. 4 Let i(k) = k - 1. Let z(g) = g + 4. Let s be z(-8). Let l be i(s). Let q(a) = -2*a - 7. Let x be q(l). Solve d - o + 4 - 7 = 0, -3*o - 9 = x*d for d. 0 Let o(r) = -r**3 + 4*r**2 - 4*r + 2. Let y be o(2). Let u = 0 - 1. Let c be (-3 - (3 - u))/(-1). Solve y*z - 5*p + 1 = 0, 3*z - z + 3*p - c = 0 for z. 2
{ "pile_set_name": "DM Mathematics" }
Convert c (base 16) to base 9. 13 Convert 4 (base 5) to base 7. 4 6 (base 16) to base 14 6 Convert b6 (base 13) to base 4. 2111 What is 1001 (base 2) in base 7? 12 Convert 6 (base 11) to base 4. 12 Convert 13 (base 4) to base 3. 21 Convert 2 (base 6) to base 14. 2 What is 0 (base 4) in base 13? 0 -10 (base 4) to base 3 -11 Convert -6 (base 15) to base 5. -11 -35 (base 8) to base 2 -11101 22 (base 12) to base 10 26 What is 4 (base 12) in base 13? 4 -20 (base 8) to base 7 -22 13 (base 5) to base 10 8 Convert -11 (base 5) to base 15. -6 -4 (base 11) to base 8 -4 What is -11 (base 10) in base 13? -b What is 4 (base 9) in base 15? 4 -2 (base 3) to base 9 -2 -6 (base 10) to base 14 -6 What is -17 (base 11) in base 4? -102 What is 4 (base 6) in base 11? 4 Convert 4 (base 15) to base 16. 4 Convert -5 (base 7) to base 6. -5 Convert 4 (base 13) to base 3. 11 123 (base 7) to base 5 231 Convert -3 (base 12) to base 15. -3 21 (base 8) to base 13 14 2 (base 8) to base 13 2 What is -32 (base 12) in base 13? -2c What is -101 (base 2) in base 4? -11 18a (base 12) to base 8 372 Convert -101 (base 9) to base 2. -1010010 Convert 4 (base 8) to base 9. 4 -5 (base 16) to base 11 -5 Convert 46 (base 7) to base 8. 42 241 (base 8) to base 13 c5 Convert 0 (base 4) to base 11. 0 -11 (base 7) to base 3 -22 What is -6 (base 10) in base 2? -110 What is -1 (base 7) in base 6? -1 Convert 1 (base 14) to base 3. 1 What is -1 (base 13) in base 7? -1 Convert 3 (base 7) to base 4. 3 -100 (base 2) to base 7 -4 What is 3 (base 4) in base 11? 3 Convert -13 (base 13) to base 10. -16 What is 16 (base 15) in base 7? 30 What is -1122 (base 4) in base 14? -66 What is -41 (base 6) in base 14? -1b 1 (base 9) to base 4 1 What is 461 (base 8) in base 12? 215 Convert 11012 (base 3) to base 6. 305 What is -150 (base 6) in base 7? -123 1 (base 5) to base 10 1 13 (base 4) to base 9 7 Convert 4 (base 10) to base 4. 10 -3 (base 7) to base 15 -3 -c (base 15) to base 12 -10 Convert -3 (base 12) to base 15. -3 What is 2 (base 11) in base 15? 2 What is 20 (base 4) in base 11? 8 Convert 0 (base 2) to base 6. 0 1 (base 15) to base 10 1 -11 (base 16) to base 3 -122 What is -33 (base 14) in base 12? -39 Convert 1 (base 11) to base 15. 1 What is -a (base 12) in base 2? -1010 -1 (base 11) to base 6 -1 What is -11 (base 7) in base 8? -10 -1 (base 14) to base 12 -1 1d (base 15) to base 5 103 -233 (base 7) to base 8 -172 Convert -2 (base 8) to base 16. -2 Convert 11 (base 5) to base 3. 20 Convert 2110 (base 3) to base 13. 51 Convert 5 (base 9) to base 10. 5 What is -11 (base 3) in base 9? -4 What is -114 (base 11) in base 9? -161 What is -24 (base 8) in base 14? -16 What is 12 (base 4) in base 2? 110 6 (base 11) to base 16 6 -3 (base 8) to base 11 -3 Convert -16 (base 9) to base 16. -f 34 (base 15) to base 3 1211 What is 2112 (base 4) in base 2? 10010110 -193 (base 12) to base 3 -100110 Convert -10 (base 6) to base 4. -12 What is -4 (base 5) in base 15? -4 -11 (base 11) to base 14 -c What is 20 (base 3) in base 7? 6 What is 1 (base 7) in base 9? 1 What is 1 (base 2) in base 6? 1 12 (base 14) to base 8 20 Convert 0 (base 11) to base 7. 0 Convert d (base 15) to base 11. 12 -122 (base 3) to base 6 -25 Convert -1133 (base 4) to base 13. -74 What is 4 (base 9) in base 4? 10 Convert 10 (base 9) to base 7. 12 1 (base 2) to base 5 1 Convert 14 (base 5) to base 14. 9 Convert -203 (base 4) to base 6. -55 73 (base 14) to base 4 1211 -81 (base 12) to base 13 -76 Convert 66 (base 9) to base 8. 74 -1021 (base 3) to base 16 -22 Convert -22 (base 6) to base 8. -16 -1 (base 4) to base 10 -1 What is -151 (base 11) in base 7? -342 What is 1 (base 13) in base 14? 1 What is 11 (base 2) in base 15? 3 -130 (base 6) to base 16 -36 362 (base 9) to base 10 299 Convert -1 (base 16) to base 11. -1 24 (base 7) to base 12 16 Convert 7 (base 8) to base 5. 12 What is 187 (base 9) in base 3? 12221 -133 (base 4) to base 15 -21 Convert -29 (base 12) to base 6. -53 1 (base 13) to base 10 1 4 (base 7) to base 2 100 Convert 226 (base 8) to base 15. a0 -1 (base 15) to base 16 -1 What is -157 (base 9) in base 11? -111 What is -44 (base 11) in base 10? -48 -310 (base 5) to base 3 -2222 10 (base 5) to base 13 5 Convert -58 (base 9) to base 16. -35 0 (base 5) to base 6 0 -20 (base 4) to base 7 -11 311 (base 4) to base 9 58 3 (base 4) to base 16 3 -332 (base 7) to base 11 -145 Convert 43 (base 6) to base 9. 30 What is 11 (base 8) in base 5? 14 What is 5 (base 9) in base 5? 10 What is 86 (base 13) in base 7? 215 11 (base 2) to base 5 3 What is -1 (base 15) in base 9? -1 What is -60 (base 14) in base 3? -10010 25 (base 10) to base 6 41 -5 (base 6) to base 3 -12 -213 (base 6) to base 10 -81 What is -5 (base 8) in base 13? -5 -1 (base 13) to base 12 -1 What is -11010 (base 2) in base 12? -22 What is -2 (base 6) in base 9? -2 What is a (base 12) in base 3? 101 Convert 4 (base 5) to base 4. 10 12002 (base 3) to base 11 115 Convert 1021 (base 5) to base 10. 136 What is 11 (base 4) in base 9? 5 -61 (base 16) to base 3 -10121 Convert d (base 15) to base 10. 13 23 (base 15) to base 12 29 What is -2 (base 14) in base 16? -2 1 (base 11) to base 4 1 -24 (base 7) to base 8 -22 Convert -17 (base 12) to base 13. -16 4 (base 15) to base 16 4 Convert -1 (base 11) to base 6. -1 -4 (base 9) to base 4 -10 Convert 50 (base 12) to base 15. 40 6 (base 8) to base 4 12 Convert 32 (base 14) to base 15. 2e Convert -43 (base 5) to base 8. -27 -2c (base 16) to base 3 -1122 What is -15 (base 6) in base 8? -13 Convert -19 (base 10) to base 14. -15 -5 (base 16) to base 14 -5 What is 25 (base 9) in base 10? 23 Convert 217 (base 8) to base 12. bb Convert 132 (base 5) to base 7. 60 What is 16 (base 14) in base 9? 22 -2 (base 11) to base 9 -2 What is 11212 (base 3) in base 10? 131 -1101 (base 2) to base 9 -14 -55 (base 15) to base 4 -1100 Convert 5 (base 15) to base 14. 5 -21 (base 12) to base 3 -221 Convert -27 (base 8) to base 5. -43 What is 3 (base 9) in base 3? 10 What is 10 (base 7) in base 16? 7 -100 (base 2) to base 14 -4 48 (base 10) to base 5 143 Convert 1 (base 10) to base 7. 1 5 (base 13) to base 16 5 -35 (base 7) to base 2 -11010 What is -101110 (base 2) in base 15? -31 33 (base 7) to base 2 11000 Convert -11 (base 9) to base 12. -a Convert -34 (base 6) to base 2. -10110 What is -5 (base 6) in base 12? -5 Convert 5 (base 6) to base 14. 5 Convert -24 (base 15) to base 4. -202 What is 30 (base 16) in base 2? 110000 What is 23 (base 14) in base 2? 11111 Convert 1 (base 14) to base 11. 1 -213 (base 5) to base 4 -322 What is 1f (base 16) in base 6? 51 What is -14 (base 12) in base 10? -16 What is -12 (base 13) in base 14? -11 Convert 10 (base 9) to base 2. 1001 What is -1 (base 14) in base 2? -1 -3 (base 16) to base 3 -10 0 (base 12) to base 2 0 -88 (base 14) to base 11 -aa Convert 30 (base 11) to base 2. 100001 What is -200 (base 3) in base 15? -13 2 (base 15) to base 14 2 What is 17 (base 10) in base 4? 101 What is -15 (base 8) in base 14? -d What is 10 (base 4) in base 13? 4 -2b (base 14) to base 2 -100111 -33 (base 16) to base 9 -56 Convert 29 (base 13) to base 12. 2b What is -8 (base 10) in base 7? -11 What is 2 (base 4) in base 2? 10 Convert -143 (base 6) to base 11. -58 Convert 4 (base 11) to base 13. 4 -36 (base 8) to base 9 -33 What is -200 (base 4) in base 13? -26 What is -a9 (base 11) in base 12? -9b -c9 (base 13) to base 3 -20010 What is -2 (base 3) in base 9? -2 -5 (base 7) to base 10 -5 Convert 3 (base 10) to base 6. 3 What is -a3 (base 14) in base 4? -2033 -1 (base 7) to base 13 -1 Convert 201 (base 3) to base 8. 23 What is -2 (base 6) in base 4? -2 What is -a (base 16) in base 8? -12 What is 5 (base 8) in base 2? 101 What is -3 (base 16) in base 7? -3 What is 17 (base 11) in base 5? 33 1 (base 11) to base 14 1 What is -2 (base 13) in base 6? -2 What is -1 (base 8) in base 9? -1 What is 10011110 (base 2) in base 12? 112 What is -1011 (base 3) in base 12? -27 Convert 0 (base 7) to base 10. 0 What is -17 (base 12) in base 3? -201 What is 0 (base 5) in base 12? 0 Convert -43 (base 10) to base 8. -53 What is -4 (base 16) in base 12? -4 Convert -10212 (base 3) to base 2. -1101000 Convert -4 (base 7) to base 16. -4 -216 (base 9) to base 5 -1202 Convert 0 (base 6) to ba
{ "pile_set_name": "DM Mathematics" }
What is the second derivative of r(t) wrt t? -720*t**3 Let f(k) be the first derivative of -108*k**5/5 - 75*k - 22. Find the first derivative of f(r) wrt r. -432*r**3 Let f(x) be the third derivative of x**5/10 + x**4/24 + 23*x**3/3 + 74*x**2. Differentiate f(p) with respect to p. 12*p + 1 Suppose 5*w = -5*l + 10, 2*l + 0*l = -5*w - 2. Find the third derivative of -7*q**l - 5*q**2 + 14 - 14 wrt q. -168*q Let v(u) be the third derivative of -41*u**9/21 + 141*u**5/20 + 5*u**2 + 27. What is the third derivative of v(x) wrt x? -118080*x**3 Let y(o) be the second derivative of o**8/28 + o**4/12 + 23*o**3/6 + 107*o. Find the third derivative of y(c) wrt c. 240*c**3 Let v be 32/2 - (0 - (2 + 0)). What is the second derivative of -18*m**2 - 14*m**4 + v*m**2 + 10*m wrt m? -168*m**2 Let v(o) be the first derivative of 200*o**3/3 + 186*o**2 - 461. Find the second derivative of v(q) wrt q. 400 Let v(y) be the second derivative of -365*y**4/12 - 41*y**3/3 - 3*y**2/2 - 3*y + 3. Find the second derivative of v(r) wrt r. -730 Let w(q) = -q**3 - q + 1. Let j(d) = -1 - 3*d + 3*d**3 + 0 + 109*d**2 - 3 - 104*d**2. Let c(o) = j(o) + 5*w(o). Find the second derivative of c(f) wrt f. -12*f + 10 What is the third derivative of -12*f**5 + 8*f**5 - 4 - 29*f**5 - 17*f**2 - 8*f**5 - f**4 wrt f? -2460*f**2 - 24*f What is the third derivative of -41149*a**3 - 26*a**2 - 130*a**2 + 41003*a**3 wrt a? -876 Let c(w) = -32*w**4 - w**3 + 18*w - 1. Suppose -1 = 3*n + 2. Let x(s) = -s**3 - 1. Let p(l) = n*c(l) + x(l). What is the second derivative of p(h) wrt h? 384*h**2 Find the second derivative of -8*p - 5 + 2 + 7*p**3 + 70*p**3 + 6 wrt p. 462*p Let m(c) be the second derivative of 5*c**5/2 - c**4/12 - 17*c**3/3 + c**2 - 136*c. What is the second derivative of m(y) wrt y? 300*y - 2 Suppose 4*d - 6*d + 12 = 0. What is the third derivative of 9*g**2 - 25*g**5 + d*g**4 + 2*g**4 - 8*g**4 wrt g? -1500*g**2 Let x(i) be the third derivative of 1/24*i**4 - 2*i**2 + 0*i**6 + 0*i**3 + 0 + 0*i**5 + 0*i**7 + 0*i - 1/56*i**8. What is the second derivative of x(q) wrt q? -120*q**3 Suppose 0 = y + 3*y + 4*k, -2*y = -k - 9. What is the third derivative of -2*j**4 - 21*j**5 - j**4 + y*j**4 + 18*j**2 wrt j? -1260*j**2 Let t(n) = 10*n**3 + 9*n**2 + 143*n - 6. Let a(x) = 11*x**3 + 8*x**2 + 144*x - 8. Let o(w) = 3*a(w) - 4*t(w). What is the second derivative of o(i) wrt i? -42*i - 24 Let u(z) be the second derivative of z**7/504 - 17*z**6/720 + z**4 + 12*z. Let w(x) be the third derivative of u(x). Find the second derivative of w(r) wrt r. 10 Let c be -50*(-1)/((-20)/(-8)). Find the second derivative of -23 - 14*b**5 - 24 + 47 - c*b wrt b. -280*b**3 Let u(m) be the third derivative of -101*m**5/60 + 20*m**3/3 + 57*m**2. What is the derivative of u(r) wrt r? -202*r Find the second derivative of 131*r**3 - 4 + 4 + 10*r - 209*r**3 wrt r. -468*r Let n(k) be the third derivative of 21*k**2 + 0*k**5 + 0*k**4 - 3/14*k**7 + 0*k**6 + 0*k + 0 + 31/6*k**3. What is the first derivative of n(x) wrt x? -180*x**3 Let k(j) be the first derivative of 188*j**3 + 395*j**2 - 755. What is the second derivative of k(v) wrt v? 1128 Let u(w) = 39*w**3 - 76*w**2 - 6*w + 6. Let d(j) = 39*j**3 - 77*j**2 - 5*j + 5. Let z(f) = -6*d(f) + 5*u(f). Find the third derivative of z(g) wrt g. -234 Suppose 37 = 27*f - 98. Let v(q) be the second derivative of -f*q + 5/2*q**2 + 0 + 0*q**3 - 1/12*q**4. What is the first derivative of v(p) wrt p? -2*p Let u = 48 + -45. Find the third derivative of u*d**3 + 4*d**3 - 6*d**3 - 5*d**2 + 21*d**3 wrt d. 132 Let p(n) be the third derivative of -2*n**7/35 + n**6/40 + n**4/12 + n**3/3 - 4*n**2 + 8. Find the second derivative of p(o) wrt o. -144*o**2 + 18*o Find the third derivative of 560*s**2 + 65*s**4 - 4*s**5 - 134*s**4 + 23*s**5 + 64*s**4 wrt s. 1140*s**2 - 120*s Let g(k) be the first derivative of -3*k**5 + 53*k - 41. What is the first derivative of g(o) wrt o? -60*o**3 Let l(c) be the third derivative of -23*c**7/210 + 7*c**6/120 - c**5/30 + c**4/4 + 253*c**2. Find the third derivative of l(r) wrt r. -552*r + 42 Let j(o) = -o**2 + 2*o + 1. Let r(a) = 84*a**2 - 10*a - 1. Let b(n) = 2*j(n) + r(n). Find the second derivative of b(p) wrt p. 164 What is the third derivative of -9*h**2 + 175*h**6 + 0*h**6 + 99*h**2 + 58*h**2 + 14*h**2 wrt h? 21000*h**3 Differentiate -163*c + 163*c - 688*c**4 + 18*c**2 - 18*c**2 - 902 with respect to c. -2752*c**3 Differentiate -7547 + 7685 + 83*t - 618*t with respect to t. -535 Let j(b) be the first derivative of 27/2*b**2 + 0*b**5 + 5/2*b**6 - 20 + 0*b**4 + 0*b + 0*b**3. What is the second derivative of j(x) wrt x? 300*x**3 Let v(z) be the first derivative of 2*z**4 + 19*z + 2*z**2 - 2 - 5*z**2 + 3*z**2. What is the derivative of v(i) wrt i? 24*i**2 Let f(m) = 1. Let c(i) = 6*i + 38. Let u(n) = -3*c(n) + 30*f(n). What is the derivative of u(p) wrt p? -18 Let i(v) be the second derivative of 0*v**6 + 11/42*v**7 + 0*v**2 - 7*v + 0*v**4 + 0 + 0*v**5 - 3*v**3. Find the second derivative of i(s) wrt s. 220*s**3 Let w(c) be the first derivative of 25*c**4/12 + 3*c**2/2 - 8*c + 31. Let n(k) be the first derivative of w(k). Find the first derivative of n(i) wrt i. 50*i Let t(x) = -78*x**2 - 36*x - 48. Let v(s) = 2*s. Let y(z) = 2*t(z) + 36*v(z). Differentiate y(j) wrt j. -312*j Let v(h) = h**2 + 3*h. Let k be v(-5). Suppose 4*j - 22 = k. Find the second derivative of 13*p**2 - 5*p**2 - j*p + 10*p**2 - 5*p**2 wrt p. 26 Let f(d) = -d**2 + d. Let a(k) = -10*k**2 + 5*k + 31. Let c = -118 - -116. Let r(i) = c*f(i) + a(i). What is the first derivative of r(n) wrt n? -16*n + 3 Let k(i) be the third derivative of -3*i**6/2 + 11*i**5/5 - i**4/8 - 13*i**2 + 13. Find the third derivative of k(l) wrt l. -1080 Suppose -5 = 5*o - 6*o. Find the second derivative of -o*q**5 - q - 2*q**5 + 0*q**5 wrt q. -140*q**3 Let i(u) = -2*u**6 - 80*u**5 + 3*u**4 - 164*u**2 + 3. Let k(s) = s**6 + s**5 - s**4 - 1. Let d(z) = i(z) + 3*k(z). What is the third derivative of d(x) wrt x? 120*x**3 - 4620*x**2 Suppose 0 = 2*i - b - 2, 36 = 4*i + 3*b + 12. Find the third derivative of 110*m**2 - m**6 - 6*m + 6*m**4 - i*m**4 - 111*m**2 wrt m. -120*m**3 + 72*m Suppose -7*v - 372 = -39334. Find the second derivative of -9*k**2 - 27*k - 5566 + v wrt k. -18 Let u(c) = -6*c**2 - 37 + 72 + 6*c - 37. Let f(y) = -6*y**2 + 2 + 13*y**2 - 7*y + 1. Let k(v) = 2*f(v) + 3*u(v). What is the second derivative of k(d) wrt d? -8 Let q be 54/7 - (-2)/7. Let t(k) = -k**3 - 4*k**2 + 5*k + 4. Let h be t(-5). What is the derivative of -4*n**4 - 4 + q*n**h + 3 + 3 wrt n? 16*n**3 Let t(o) be the second derivative of -o**5/4 - o**3/2 - 25*o**2/2 + o + 16. Differentiate t(u) with respect to u. -15*u**2 - 3 What is the derivative of -57*g**3 - 359 + g**2 - 226 + 503 wrt g? -171*g**2 + 2*g Let c(a) be the third derivative of -a**5/4 + 37*a**3/6 - 2*a**2 - 32. Differentiate c(m) wrt m. -30*m Find the second derivative of 12270*b**3 - 213*b**4 - 12270*b**3 + 256*b wrt b. -2556*b**2 Suppose 3*d + 45 - 39 = 0. Let i(k) = -k**3 + 12*k. Let t(g) = -3*g**3 + 48*g. Let m(h) = d*t(h) + 9*i(h). Find the second derivative of m(r) wrt r. -18*r Let f = 88 - 70. What is the third derivative of 11*k**4 - f*k**4 - 17*k**4 + 13*k**2 wrt k? -576*k Let j be 7 - (0/(-4) - -3). Suppose 3*c + c = -j*x + 36, -2*c + 4*x - 6 = 0. What is the second derivative of -9*r**c + 20*r**5 - 8*r**5 + 4*r wrt r? 60*r**3 Let z = -8 + 10. Suppose 2*c - 15 = f, 3*f - 11 = -c - c. Find the third derivative of c - 15 + 8 - z*n**2 - n**4 wrt n. -24*n Let i(f) be the first derivative of 5*f**6/6 + 7*f**5 - 2*f**3 - 21*f - 198. What is the third derivative of i(n) wrt n? 300*n**2 + 840*n Let r = -31 - -33. Let o be 12/(-9)*(-3)/r. What is the second derivative of -6*w - 3*w**4 - 38*w**o + 38*w**2 + 2*w wrt w? -36*w**2 Let d be (-2)/(-5)*16/(-32)*-5. What is the derivative of d - 26 + 6*h**2 + 16*h**2 wrt h? 44*h What is the derivative of -93*z**3 + 35 + 22 - 56 + 46 wrt z? -279*z**2 What is the third derivative of 103*r - 231*r - 12*r**3 + 128*r - 769*r**2 wrt r? -72 Let z(o) be the first derivative of -5*o**4/2 - 23*o**2/2 - 30*o + 20. Let j(g) be the first derivative of z(g). Differentiate j(w) wrt w. -60*w Suppose -117 = -3*u - 36. Suppose 0*r = -3*r + u. What is the second d
{ "pile_set_name": "DM Mathematics" }
**2/2 - v - 149. Calculate -7*c(m) - 5*y(m). -4*m + 3 Let l(i) = -18*i - 9*i + 6 + 29*i. Let q(s) = s + 1. Let r be 3/(27/(-9)) - 4. Calculate r*q(y) + l(y). -3*y + 1 Let r(b) = -7315*b - 45. Let x(y) = -5*y + 3. Calculate -r(f) - 15*x(f). 7390*f Let a(q) = -q - 6. Let h(l) = -1986*l + 22. Give -4*a(t) - h(t). 1990*t + 2 Let h(i) = -2*i - 2. Let j be 3/(-6)*-4 + 1. Let c(t) = -92 + 20 + 19 + 31 + t + 24. What is j*c(k) + 4*h(k)? -5*k - 2 Let l(p) be the second derivative of -p**5/10 + 7*p**4/12 + p**3/2 + 7727*p. Let h(u) = 3*u**3 - 6*u**2 - 4*u. What is 3*h(b) + 4*l(b)? b**3 + 10*b**2 Let v(n) = -n**3 - 4*n**2 + 3*n. Let f(l) = 12*l**2 + 441*l - 19*l**2 + 2*l**2 - 438*l. Give -4*f(c) + 5*v(c). -5*c**3 + 3*c Let b(i) = 2130*i**3 - 2137*i**3 - 121*i**2 + 119*i**2. Suppose 0 = 4*w - 3*w + 4. Let c(h) = 3*h**3 + h**2. Calculate w*b(f) - 7*c(f). 7*f**3 + f**2 Let b(z) = -2*z**2 - 3*z. Let n(l) = -3887*l**2 - 2535*l. What is 845*b(w) - n(w)? 2197*w**2 Let i(o) = o**3 - 6*o**2 - 4*o - 6. Let t(a) = -a**3 + 5*a**2 + 3*a + 5. Suppose -20*j + 19*j = 4*v + 26, 2*v = 6*j. What is v*t(m) - 5*i(m)? m**3 + 2*m Let d = -613 + 867. Suppose -255*j + 1 = -d*j. Let g(z) = z**2 - 1. Let a(p) = -2*p**3 - 4*p**2 + 4. Determine j*a(q) + 4*g(q). -2*q**3 Let b(g) = -37*g**3 - 8*g**2 + 171*g + 23. Let y(c) = -44*c**3 - 10*c**2 + 170*c + 25. Give 6*b(j) - 5*y(j). -2*j**3 + 2*j**2 + 176*j + 13 Let x(p) = 7*p**2 + 3*p - 1. Let z(y) = -50*y**2 - 7*y - 122. Let c(a) = -33*a**2 - 5*a - 76. Let v(k) = -8*c(k) + 5*z(k). What is -3*v(j) + 5*x(j)? -7*j**2 + 1 Let n(v) = 0*v**3 + 4*v + 14*v**3 - v**3 - 8*v**3. Let w(u) = u - 314 + 314. Calculate n(z) - 4*w(z). 5*z**3 Let f(g) = 40*g - 4. Let k(t) = -238*t + 23. Determine 34*f(y) + 6*k(y). -68*y + 2 Let n(b) = -2*b**3 - 2*b**2 + 10. Let j(c) = -c**2 + 6970*c**3 + 3 - 2 - 6971*c**3. Give j(a) - n(a). a**3 + a**2 - 9 Let g(o) = 10*o - 9. Let x = 36 - 33. Let j(n) = x*n + 2*n + 10 - 2 - 12. Give 3*g(v) - 7*j(v). -5*v + 1 Let z(v) be the third derivative of v**3/6 - 1190*v**2. Let s(r) = 4*r - 4. Calculate -s(p) - 5*z(p). -4*p - 1 Let t(z) = z**3 + 10*z**2 - 23*z - 25. Let g be t(-12). Let u(a) = 69*a**2 - 5*a + 5. Let o(k) = -518*k**2 + 37*k - 37. Give g*u(y) - 5*o(y). 37*y**2 Let k = 3003 + -2999. Let u(g) = g. Let j(z) = 2*z**2 + 4*z + 1. Calculate k*u(b) + j(b). 2*b**2 + 8*b + 1 Let n = -19 - -25. Let r(v) = 4*v**2 - 4*v**3 + n*v**3 - 4*v + v**3 - 4*v**3. Let p(l) = -l**2 + l. Let z = -7 + 8. Determine z*r(h) + 4*p(h). -h**3 Let r(c) = 2*c**2 - 6. Let p(b) = -5*b**2 + 13. Suppose -15 = 245*g - 240*g. Give g*p(t) - 7*r(t). t**2 + 3 Let j(v) = -v**3 - v**2 + v. Let t be 9 - (780/55 + 4/(-22)). Let s(x) = -6*x**3 - 5*x**2 + 5*x - 3. Give t*j(b) + s(b). -b**3 - 3 Let r(w) = 2*w**3 + 86*w**2 - 5*w + 5. Let y(b) = -10*b**3 - 432*b**2 + 26*b - 24. Calculate 16*r(a) + 3*y(a). 2*a**3 + 80*a**2 - 2*a + 8 Let i(p) = 2. Let x(f) = -f + 13. Suppose 9 = t - 2*a + 3*a, -5*a - 53 = -2*t. What is t*i(o) - 2*x(o)? 2*o + 2 Let p(c) = -75*c**2 + 22*c + 11. Let t(y) = -41*y**2 + 12*y + 6. Let r(u) = -6*p(u) + 11*t(u). Let d(b) = 16*b**2 + 4. What is d(w) + 20*r(w)? -4*w**2 + 4 Let g be 2/4 + 35/10. Let l(k) = -12*k**2 - 2*k - 2. Let n(v) = 84*v**2 + 15*v + 15. Calculate g*n(u) + 30*l(u). -24*u**2 Let q(a) = -78*a - 370. Let v(i) = -97*i - 371. Give 5*q(h) - 4*v(h). -2*h - 366 Let u be (-2*(-10)/(-20))/(1 + (-12)/15). Let p(t) = -7*t + 15. Let d(s) = -4*s + 7. Give u*d(a) + 3*p(a). -a + 10 Let b(a) = a. Let j be b(6). Let l(h) be the third derivative of 74*h**2 + 0 - h**3 + 5/24*h**4 + 0*h. Let p(f) = 6*f - 7. Give j*p(n) - 7*l(n). n Let n(z) = 6*z. Let s(f) = -38*f - 5. Give -n(j) - s(j). 32*j + 5 Let j be (18/(-4) - 4)*(-30)/15. Let t(q) be the third derivative of q**4/8 - q**3/3 + 5*q**2. Let p(o) = o - 1. Determine j*p(k) - 6*t(k). -k - 5 Let c(h) = -226*h**2 - 125. Let k(o) = 768*o**2 + 425. Give -41*c(b) - 12*k(b). 50*b**2 + 25 Let v(s) = -6*s + 4. Let m(f) = -17*f + 13. Let j(u) = -3*m(u) + 8*v(u). Let o(k) = -2*k + 3. Let h(i) = 13*i + 127. Let b be h(-10). What is b*j(l) - 7*o(l)? 5*l Let n(v) = 3*v + 1. Let p(a) = -30*a + 3. Calculate -5*n(q) + p(q). -45*q - 2 Let u(g) = -2*g**3 + 4*g**2 + 2*g + 2. Let j(d) = -3*d - 8 - 11 + 20 - 5*d**2 - 3 + 0 + 2*d**3. Determine -2*j(y) - 3*u(y). 2*y**3 - 2*y**2 - 2 Let m(g) = g + 4. Let y(h) be the first derivative of -h**2/2 - 3*h + 486. Give 3*m(a) + 4*y(a). -a Let v be 0*6/(-54) - 7. Let q(g) be the second derivative of -g**4/3 - g**3/3 - g**2/2 + g. Let d(a) = -7*a - 3 - 2*a**2 - 10*a**2 - a**2. Give v*q(s) + 2*d(s). 2*s**2 + 1 Let i(u) = -9*u - 5. Let d(h) = -7*h**2 + 32*h + 14. Let g(j) = j**2 - j. Let v(w) = d(w) + 6*g(w). Determine 8*i(b) + 3*v(b). -3*b**2 + 6*b + 2 Let d(w) = 3151*w - 16. Let l(r) = 6300*r - 41. Calculate 5*d(p) - 2*l(p). 3155*p + 2 Let f(s) be the first derivative of s**3 + 3*s**2/2 + 5*s + 894. Let x(w) = -9 + 5 - 2*w**2 - 2*w + 0. Give 3*f(o) + 4*x(o). o**2 + o - 1 Let l(p) = 2*p + 266. Let z(n) = -6*n - 1066. Calculate -9*l(i) - 2*z(i). -6*i - 262 Let r(q) = -167*q**3 + 2*q**2 + 509*q**3 + 0*q**2 + 7*q - 173*q**3 + 5 - 171*q**3. Let k(n) = -n**3 + n**2 + 3*n + 2. Give -14*k(y) + 6*r(y). 2*y**3 - 2*y**2 + 2 Let y(u) = -3 + 2 - u - 4. Let t(p) = 4. Let m(v) = -v + 12. Let h be m(7). Suppose -2*c = -c + 2*k - 6, 5*k - h = 0. What is c*t(s) + 3*y(s)? -3*s + 1 Let r(s) = -31*s**2 + 1333*s + 16. Let w(k) = 54*k**2 - 2665*k - 28. Give -7*r(n) - 4*w(n). n**2 + 1329*n Let j(h) = -h. Suppose i - 28 = -5*o, 8*o = -5*i + 5*o + 30. Let r(l) = 2*l - 2. What is i*j(u) - r(u)? -5*u + 2 Let q(h) = 85*h**3 + 8*h**2 - 11. Let p(f) = 43*f**3 + 5*f**2 - 6. Calculate -7*p(c) + 4*q(c). 39*c**3 - 3*c**2 - 2 Let q(h) = 3*h**3 - 11*h**2 - 6*h + 7. Let m(o) = -o**3 + 6*o**2 + 3*o - 4. Suppose i + 15 = 4*v, 19 = -v + 6*v - i. What is v*q(k) + 7*m(k)? 5*k**3 - 2*k**2 - 3*k Let q(w) = -1. Let g(d) = d**2 - 1. Let n = -408 + 411. Suppose 0 = -n*b + 5*t + 19, -b - 12 = -t + 3*t. Determine b*g(o) + 2*q(o). -2*o**2 Let y(x) = 3*x**3 + 2*x**2 - 2*x - 856. Let n(k) = 8*k**3 + 5*k**2 - 5*k - 1712. What is -4*n(g) + 10*y(g)? -2*g**3 - 1712 Let j(h) = -3*h**2 - 5*h - 8. Let k(c) = c + 1. Suppose -1751 = 246*m - 521. Determine m*k(n) - j(n). 3*n**2 + 3 Let p(m) = -6*m - 2. Let t(a) = a**2 - a - 1. Suppose 440 + 220 = 33*i. Suppose 22 = 5*l - 0*l + 4*y, 4*l + 4*y = i. What is l*t(x) - p(x)? 2*x**2 + 4*x Let h(c) = 18*c**2 - 44*c + 22. Let w(g) = 9*g**2 - 19*g + 10. Let u(k) = -3*h(k) + 7*w(k). Let p(a) = -8*a**2 + a - 3. Determine -4*p(m) - 3*u(m). 5*m**2 - m Let x(i) = 168*i + 2. Let y(z) = -504*z - 7. Give -8*x(n) - 3*y(n). 168*n + 5 Let l(d) = -2*d**3 + 2. Let t(b) = b**3 + b**2 - 2*b - 19. Let o(i) = 11*i**3 + 2*i**2 - 4*i - 47. Let j(n) = o(n) - 2*t(n). Calculate -5*j(r) - 24*l(r). 3*r**3 - 3 Let c(w) = 2326342*w**2 - 3037*w. Let x(b) = 3065*b**2 - 4*b. Determine -4*c(a) + 3037*x(a). 3037*a**2 Let z(j) = -51*j + 73. Let s(b) = -51*b + 125. Give 2*s(a) - 3*z(a). 51*a + 31 Let o(j) = -6*j**3 - j**2 + 32*j + 90. Let w(c) = 8*c + 1. Give o(x) - 4*w(x). -6*x**3 - x**2 + 86 Let d(m) be the third derivative of -1/6*m**3 + 0*m + 1/24*m**4 - 5 + 2*m**2. Let c(q) = q**3 + 6*q**2 + 3*q - 3. Give c(h) - 3*d(h). h**3 + 6*h**2 Suppose -623*z - 211 = 627 + 1031. Let x(c) = -27*c**2 - 45*c - 45. Let k(l) = -l - 1. Give z*x(n) + 135*k(n). 81*n**2 Let l(x) = 620 - 2*x + 292 + 3*x - 913 + 0*x. Let d(c) = 4*c - 6 - c - 2*c. Suppose 4*s - s + 3 = 0. Determine s*d(k) + 4*l(k). 3*k + 2 Let f(l) be the first derivative of -55*l**2/2 + 65*l - 8332. Let b = -2 + 8. Let o(c) = 1 + 3 - 5*c + 2. What is b*f(d) - 65*o(d)? -5*d Let a(j) = 7*j + 374*j**2 - 8*j - 2*j - 1 + 0*j - 371*j**2. Let w(c) = -c**3 - c**2 + c + 1. What is -a(o) - 3*w(o)? 3*o**3 - 2 Let a(m) = -1. Suppose -2*r - 7 = 3*f, 4*f - 16 + 18 = r. Let u(t) = 4*t - 3. What is f*u(p) + 2*a(p)? -4*p + 1 Let d(w) be the second derivative of -3*w**5/10 + 5*w**4/12 - 9*w**2/2 + w. Let o = -310438 - -310433. Let k(v) = 9*v**3 - 8*v**2 + 14. What is o*k(l) - 8*d(l)? 3*l**3 + 2 Let q(o) = -25*o**3 + 3*o**2. Let j(d) = 24*d**3 - 4*d**2. Suppose 20*c + 12 = -2*r + 15*c, 0 = -5*r - c + 16. Calculate r*q(s) + 3*j(s). -28*s**3 Suppose -v = -189*i + 190*i - 3, -v + 5*i - 9 = 0. Let u(n) =
{ "pile_set_name": "DM Mathematics" }
tor of 2/6*(-4 + 1) and (65*m/3)/(-2). 3 Let u = -25 + 27. What is the smallest common multiple of u and 10? 10 Let q be 6/4*(-2)/(-3). Let f be (2 - q)*(13 + 0). Suppose -f - 57 = -5*r. What is the least common multiple of r and 2? 14 What is the common denominator of -67/30 and ((-22)/(-10))/((-144)/135)? 240 Let q(d) = -d**2 + 8*d - 4. Let i be (2 + -1)*(-18 - 2). Let h = i - -36. Calculate the lowest common multiple of q(6) and h. 16 Let h be (-45471)/(-24) - (1 - 2). Let f = h + -1900. Find the common denominator of f and 19/6. 24 Calculate the smallest common multiple of 9 and ((-60)/(-70))/((-3)/(-14)). 36 Suppose 0 = g - i - 12, 0 = 3*g - 7*g + 2*i + 40. Suppose -2*h = -4*h + g. Let o(j) = j + 3. What is the least common multiple of 11 and o(h)? 77 Suppose 4*r + j - 32 = 9, 3*r + 2*j - 32 = 0. Calculate the least common multiple of 10 and r. 10 Let b(j) = 4*j - 30. What is the least common multiple of 18 and b(15)? 90 Let t = 471/1340 + -1/670. Suppose -k - 6*r + 2*r = -4658, -5*r = -k + 4622. Let g = k - 64917/14. Calculate the common denominator of g and t. 140 Suppose -5*j - 3*p + 3 = 0, 2*j - 4*p = -2*j - 4. Suppose 2*d + j = -2. Find the common denominator of d*2 + (-114)/21 and 38/7. 7 Suppose -w = -3*z - 63, -4*w + z - 169 = -7*w. Calculate the common denominator of (w/(-10))/((-180)/175) and -37/14. 168 Let g = 1/31195 + -4336159/1684530. What is the common denominator of 95/12 and g? 108 Let u = 188/3 + -86. Calculate the common denominator of u and 39/4. 12 What is the common denominator of 86/21 and 0 + 0 + 40/45? 63 Calculate the smallest common multiple of 7 and (-3)/((-6)/44) - 9/9. 21 Let r be -2 - -1 - (-2 + -2). Suppose 5 + 0 = 5*h + 4*m, 2*m - 4 = -4*h. What is the smallest common multiple of 4 and h*(-1)/r*-3? 4 Let p = 67141/10 + -6708. Let h(v) = -2*v + 1. Let j be h(-1). Suppose 8 = -j*s + 2*s. Calculate the common denominator of s and p. 10 Let c = 4583 + -82583/18. Let u = 8/89 + -6367/534. What is the common denominator of c and u? 18 Suppose h - 5*b = -22, 0 = 4*b - b - 15. Calculate the lowest common multiple of 6 and h. 6 Let m = 2662 + -196993/74. Let s = -307/111 + m. Calculate the common denominator of s and -65/4. 12 Suppose 140 = -0*q + 7*q. Calculate the smallest common multiple of 20 and q. 20 Let d(s) = -7*s - 1. Let i be d(-3). Suppose -b + i = b. Suppose -3*x + b = -14. Calculate the smallest common multiple of x and 18. 72 Suppose -h - 330 = -6*h. Calculate the common denominator of 2/(-9) + 1574/36 and 2 - h/7 - -3. 14 Let k = 2333/30 + -438/5. Calculate the common denominator of k and (-75)/(-2) - 6/6. 6 Suppose -d + 7 = 5*s, 3*d + 0*d - 3*s = -33. Find the common denominator of (-10)/d*(-472)/220 and 19/16. 176 Let w = 73 - 61. Calculate the lowest common multiple of 64 and w. 192 Let z = 7 - -1. Calculate the smallest common multiple of z and 22. 88 Let u be (-1 - 279/3)/(-2). Find the common denominator of (-3)/(-60)*u + 0 and 25/22. 220 Suppose 0 = -3*q + 2*q - 5*t - 11, 0 = -3*q - 4*t. Calculate the common denominator of 19/36 - (-1)/q and 97/10. 90 Find the common denominator of 1/10 and (-21)/28*82/(-3). 10 Let t be 64207/20 - 1/(-4). Let o = t - 3222. Calculate the common denominator of 29/3 and o. 15 Let x(d) = d**2 - 4*d - 2. Let l be x(5). Let z be 6417/2 - l/6. Let i = z + -38519/12. Calculate the common denominator of i and 101/16. 48 Let x(u) = -u**3 - 17*u**2 - u - 9. What is the least common multiple of x(-17) and 6? 24 Suppose 4*a + 3*d = 0, -3*a - d + 4 = -1. Suppose 0 = -4*p + 3*h + 29, -h = -p - a*h + 10. Suppose 12 = 2*g - 8. Calculate the least common multiple of g and p. 40 Let u(m) = 2*m**2 - 5*m - 11. Let h be 6 + 0 - (0 + 1). Calculate the least common multiple of 18 and u(h). 126 Let b be (-3 + 17/5)*-5. Calculate the common denominator of (12/105)/(b/130) and -101/10. 70 Let y = 126376/2471 + -2/2471. Let w = 4961/84 - y. What is the common denominator of 25/6 and w? 12 Suppose -5*y - 3 = 4*w - 34, 0 = 2*w + 2*y - 14. What is the least common multiple of 2 and w? 4 Calculate the least common multiple of -1 + 1/3*9 and 12. 12 Let k = -1997/8 - -6209/24. Find the common denominator of k and ((-9)/12)/(36/(-294)) + 4. 24 Let n = -258/11 - -1297/22. Find the common denominator of -103/6 and n. 6 Let u be 1/((-58)/(-56) - 1). Let y = 26 + -10. Calculate the smallest common multiple of u*(-1 - 9/(-6)) and y. 112 Suppose -4*f + 52 - 148 = 3*w, 3*w = 3*f - 117. Calculate the common denominator of w and 73/10. 10 Let t = -11173/8 + 1392. Let h = 416/75 - -3/25. What is the common denominator of t and h? 24 Let u(r) = -2*r. Let w be u(-2). Let j = -776/21 + 205/7. Calculate the common denominator of j and 2 - w - (-98)/(-10). 15 Suppose 5*c - 34 = 3*w, -4 - 8 = 4*w. Suppose -84 = j - c*j. Suppose j = 2*o - 3*z + 7, 4*o - 28 = z. What is the smallest common multiple of 9 and o? 63 Let m(n) = -3*n. Suppose 0 - 16 = -o. Suppose 0*f = 4*f - o. Calculate the lowest common multiple of m(-2) and f. 12 Suppose 0 = d - 4*r + 9, d + 5*r = -4*d + 30. What is the least common multiple of d and 6? 6 Let r(w) = -4*w**2 + 2*w - 3. Let o be r(-4). Let d = o - -191/3. Calculate the common denominator of 51/11 and d. 33 Suppose 2*i + 2 = 8, 4*i = -5*t + 17. What is the smallest common multiple of t and 11? 11 Find the common denominator of 5/(-15) - 92/48 and 53/16. 16 Suppose 0 = 3*w - 17 - 28. Calculate the smallest common multiple of 62/w + (-4)/30 and 2. 4 Let r(k) = 45*k**2 - 1. Let x = -10335044506 + 200169141883255/19368. Let z = x + 1/2421. Calculate the common denominator of z and r(-1). 8 Calculate the common denominator of -4*(-4)/(-8) - 333/(-24) and -49/10. 40 Let z(v) = -v**3 - 2*v**2 - 2*v - 3. Calculate the least common multiple of 11 and z(-2). 11 Suppose 6 = -3*l, -4*t - l = 2*l - 74. Calculate the lowest common multiple of 18 and t. 180 Let w = 4103/4 + -1017. Calculate the common denominator of 31/5 and w. 20 Let i(u) = -5*u**2 - 10*u + 17. Let q(l) = -2*l**2 - 3*l + 6. Let v(f) = -3*i(f) + 8*q(f). Let s = -120 - -128. What is the least common multiple of v(5) and s? 8 Let m(a) = a**2 + 5*a - 7. Let d be m(-7). Let i = -10 + d. What is the smallest common multiple of 9 and 36/(i - -6) - 1? 99 Let i(z) = z**2 - 3*z - 8. Let c be i(8). Find the common denominator of (-86)/(-20)*10/(-4) and (51/c)/(6/40). 8 Suppose -13 - 2 = -5*o. Find the common denominator of 19/3 - 3/o and 65/2. 6 Suppose 3*h = 4*h - 6. Suppose -j + 6 = j. Let w = h - j. What is the least common multiple of 3 and w? 3 Find the common denominator of 29/22 and (-291)/180 + 5/(-15). 220 Let q = 5 - 3. Calculate the common denominator of ((-345)/(-18) - q) + -2 and 1/11. 66 Let u be (2/(-6))/((-4)/(-4734)). Let g = 427 + u. What is the common denominator of -44/3 and g? 6 Let h = -1 - -5. Suppose z - 34 = -h*q, 2*z - 2*q = -0*z + 28. What is the least common multiple of 18 and z? 18 Let h = -16495/6 - -2733. Calculate the common denominator of h and 7/20. 60 Find the common denominator of 2/1 + 261/(-72) and -31/18. 72 Let q = -6757 + 67671/10. Calculate the common denominator of q and -41/4. 20 Suppose -3*s + 2*x = -76, -x - 4*x - 113 = -4*s. What is the least common multiple of s and 106? 1166 Let z = -69 - 56. Find the common denominator of -53/10 and 6 - 8 - z/(-12). 60 Let b = 7 + -15. Let k be 5 + -4 + 14*1. Let i = b + k. Calculate the smallest common multiple of 12 and i. 84 Let h = 1880116/393 + -4784. Let n = 35779/1572 - h. Let p = 5/277 - -31795/3324. What is the common denominator of n and p? 12 Suppose 3*y + 11033 = -2*a, -2*y = 2*a - 4*y + 11018. Let i = -32983/6 - a. Find the common denominator of i and 4 - (4905/(-40))/(-9). 24 Suppose 6*z = 5*z + 11. Let s(n) = -n**2 + 6*n + 2. Let h be s(6). What is the least common multiple of (1 + h/(-4))*6 and z? 33 Let n = 34 - 30. Calculate the smallest common multiple of n and 12. 12 Let s = -34 - -48. Calculate the least common multiple of 10 and s. 70 Suppose -3*z - 6*g + g - 126 = 0, -4*z - 5*g = 168. Let i = z + 64. What is the least common multiple of 18 and i? 198 Let x(b) = -b**3 - 9*b**2 - 11*b - 15. What is the smallest common multiple of 7 and x(-8)? 63 Suppose -9 = -s - 2*r, 3*s + 3*r + r - 29 = 0. Suppose 3*k + 19 = 3*u + 7, 4*u + 3*k = 4
{ "pile_set_name": "DM Mathematics" }
s the remainder when 42 is divided by n(1)? 9 Let v = -2 + 9. Let j(w) = -2*w**2 - 15*w - 6. Calculate the remainder when j(-6) is divided by v. 5 Calculate the remainder when (-5 + 2 - -1) + 31 is divided by 15. 14 Let o(z) = z**3 + 4*z**2 - z - 3. Let a be o(3). Let f = -20 + a. What is the remainder when f is divided by 10? 7 Let s(p) = p**3 - 15*p**2 + 21. Suppose 4 = 2*a - 12. Calculate the remainder when s(15) is divided by a. 5 Suppose 149 = 5*j + 29. Calculate the remainder when 34 is divided by j. 10 Suppose -3*m - 10 = g, 0 = 4*g - 3*m - m - 24. Suppose 0 = g*p + 5*q - 19, 4*p + q - 59 = -2*q. Calculate the remainder when p is divided by 9. 8 Let b = 7 - -60. Let g = b + -42. Suppose -7*r + g = -2*r. Calculate the remainder when r is divided by 2. 1 Suppose 2*t - t - 8 = 0. Let x = 6 - -8. Calculate the remainder when x is divided by t. 6 Suppose 5*c - 27 = 18. Let z(g) = 2*g**2 - 4*g - 4. Let i be (-6)/(1 - 2 - -3). What is the remainder when z(i) is divided by c? 8 Suppose -a + 1 + 2 = 0. Suppose 4*s = 7*s - a. Calculate the remainder when s is divided by 1. 0 Suppose m - 10 - 4 = 0. Calculate the remainder when m is divided by 10/(1 - (-1 + 0)). 4 Let x(y) = -8*y + 2. Let b(h) = h. Let u be b(-2). Let l be x(u). Let j = 27 - l. Calculate the remainder when 17 is divided by j. 8 Calculate the remainder when 57 is divided by 13 - 2*(-2 - -1). 12 Suppose -3 = -3*g + 9. Suppose h = 4*w + 101, 0*h + 364 = 4*h + g*w. What is the remainder when h is divided by 24? 21 Let y be 10/(0 + 2) + 0. Suppose -m = -2*c + 4 - 1, -4*c = -m - y. What is the remainder when (6/9)/((-2)/(-3)) is divided by c? 0 Let f = 46 - 38. What is the remainder when f is divided by 5? 3 Suppose 6 + 0 = -2*a. Let i = 5 - a. Let h = -53 - -58. Calculate the remainder when i is divided by h. 3 What is the remainder when 23 is divided by -27*(-3 - (-32)/12)? 5 Suppose 6*p = -4*p + 310. What is the remainder when p is divided by 12? 7 Let i(v) = v**2 - 8*v + 7. Let t be i(8). Let u = t + -3. Suppose -4*k - 2*m + 80 = 0, k - 4 = u*m + 16. What is the remainder when 38 is divided by k? 18 Let s(a) = -a**2 - 16*a - 2. Suppose 2*i + 3*v + 23 = 0, -2*i + 3*v = 2*v + 35. Let b = i + 7. Calculate the remainder when s(b) is divided by 21. 19 Let v(x) = 5*x**2 + 4*x - 1. Suppose -2 - 12 = k. Let c(l) = l**2 + 13*l + 3. What is the remainder when v(-3) is divided by c(k)? 15 Suppose -3*q - 25 = -8*q. Suppose 4*y = 3*y + 57. What is the remainder when y is divided by -3*q*2/(-2)? 12 Suppose -4*z + 0*z = 48. Let v(y) = -3*y - 17. Suppose 0 = 5*o - o - 28. What is the remainder when v(z) is divided by o? 5 Suppose -4*q = 29 - 137. What is the remainder when 80 is divided by q? 26 Suppose 9*r - 26 = 1. Let x = 9 + 11. Suppose 0*n - x = -4*n. What is the remainder when n is divided by r? 2 Let b = 91 + -30. Calculate the remainder when 301 is divided by b. 57 Let q = -5 + 9. Suppose i + q*i = 210. Suppose -i = -c - c. What is the remainder when c is divided by 11? 10 What is the remainder when (-3)/((-165)/39 - -4) is divided by 7? 6 Let a(y) = -3*y - 10. Let v be a(-6). Suppose v*l - 3*l = 110. What is the remainder when l is divided by 8? 6 Let g(x) be the first derivative of -x**4/4 - 5*x**3/3 + 3*x**2/2 - 6*x + 2. Let m be g(-5). Let h = 32 + m. What is the remainder when h is divided by 6? 5 Let b = -25 - -36. Calculate the remainder when 53 is divided by b. 9 Let p(x) = 2*x - 5. Let l be (-15)/(-3) + 4 + -1. Let f(m) = -2*m - 3. What is the remainder when p(l) is divided by f(-5)? 4 Let y = 111 - 76. What is the remainder when y is divided by 14? 7 Let g = -7 + 10. Suppose 0 = 5*p - g*w - 30, 0 = 3*p - w + 3*w - 18. Calculate the remainder when 11 is divided by p. 5 Let u(n) = -n**2 + 4*n. Let z be u(2). Suppose -z*h = -9*h. Suppose h = 3*k - 8*k + 55. What is the remainder when 21 is divided by k? 10 Let k = 4 + 11. Calculate the remainder when k is divided by 5. 0 Suppose -32 = -3*o + 7*o. Let d(g) = g**2 + 6*g + 14. Calculate the remainder when d(o) is divided by 8. 6 Let z(n) be the third derivative of -11*n**4/12 - 6*n**2. What is the remainder when 65 is divided by z(-1)? 21 Suppose 10 = 2*i + 3*i. Suppose i*v + v - 21 = 0. What is the remainder when 20 is divided by v? 6 Suppose -7*g = -10*g + 27. Suppose 5*q + 4*b = 97 + 40, 5*b = -2*q + 65. Calculate the remainder when q is divided by g. 7 Suppose -2*a + 3*l - l = -64, -3*a + 96 = l. Let p(j) = 3*j + 2. Calculate the remainder when a is divided by p(3). 10 Suppose 2*t - 9 = 9. Calculate the remainder when 34 is divided by t. 7 Suppose -3*t = -58 - 17. Suppose -2*v = -4*v + 26. Calculate the remainder when t is divided by v. 12 Suppose 48 + 29 = 7*b. Calculate the remainder when 41 is divided by b. 8 Let b = 10 - 6. Suppose -v - 2 + 5 = 0. Suppose 0 = -u + k + b, -5*u + v*k + 25 = -k. What is the remainder when 26 is divided by u? 8 Suppose u - 5*g - 8 = -3*u, 0 = -3*u - 5*g + 6. Let y be ((-21 + 1)/u)/(-2). Calculate the remainder when 10 is divided by 15/4 - y/(-20). 2 Let b(z) = z - 2. Let n be b(5). Suppose -n*c = -12 - 9. Calculate the remainder when c is divided by 3. 1 Let k be 9/2 - 5/(-10). Let r = 11 + k. What is the remainder when r is divided by 6? 4 Suppose 5*q - 5 = -0*q. What is the remainder when 2 is divided by q? 0 Suppose 2 = -2*d, 2*u - 5*d - 30 = -3*d. Calculate the remainder when 82 is divided by u. 12 Let x(g) = 32*g - 61. Let h(p) = -2*p - 3. Calculate the remainder when h(-5) is divided by x(2). 1 Let l(h) = -h**2 + 9*h - 2. What is the remainder when l(3) is divided by 9? 7 Suppose 3*o = n + 81, 0 = -2*o - 3*o - 4*n + 135. Calculate the remainder when o is divided by 10. 7 Suppose -4*f + 68 = 4*n, 35 = n - 5*f - 0*f. What is the remainder when 33 is divided by n? 13 Let u(z) = 7*z**2 + 2*z - 1. What is the remainder when 13 is divided by u(1)? 5 Suppose 3*l - 5*y - 53 = 0, l - 3*l + 50 = 4*y. Calculate the remainder when 103 is divided by l. 19 Let f(l) = l + 5. What is the remainder when f(4) is divided by 5? 4 Suppose -4*v = 273 - 753. Suppose -3*n = -7*n + v. Calculate the remainder when n is divided by 11. 8 Suppose 2*y = -w + 6, -3 = -y - 5*w - 9. Calculate the remainder when 377/y - 2/8 is divided by 24. 22 Suppose 4*v - 3*v - 4 = 0. Calculate the remainder when 13 is divided by v. 1 Let y(s) = -2*s**3 - 11*s**2 + 6*s + 8. What is the remainder when y(-6) is divided by 3? 2 Let f = 0 - -10. Suppose -3*c = -c + f. What is the remainder when (-118)/(-4) - c/(-10) is divided by 10? 9 Suppose d = 49 + 18. Let g(b) = 3*b + 83. What is the remainder when d is divided by g(-20)? 21 Let c = 11 + 11. Calculate the remainder when 108 is divided by c. 20 Let g = -17 - -37. Calculate the remainder when 57 is divided by g. 17 Let r = 62 - -26. What is the remainder when r is divided by 18? 16 Let o(a) = a**2 + a - 3. Let t be o(-4). Let f = 2 - t. Calculate the remainder when 17 is divided by (f/(14/(-24)))/2. 5 Let j(o) = o + 10. What is the remainder when 34 is divided by j(-4)? 4 Calculate the remainder when 82 is divided by (-8)/6*297/(-18). 16 Let i(s) = -s - 1. Let z be i(-1). Calculate the remainder when 44 - (3 + z - 6) is divided by 24. 23 Let m(g) = -2*g + 1. Let s be m(-1). Let y be (8/(-6))/(2/(-3)). Suppose -19 - y = -s*i. What is the remainder when 12 is divided by i? 5 Suppose -2 = 8*r - 7*r. Calculate the remainder when 14 is divided by ((-5)/(r/2))/1. 4 Let q(w) = -7*w - 4. Let a be q(3). Let d = a + 39. Calculate the remainder when d is divided by 5. 4 Let m(o) = -o. What is the remainder when m(-24) is divided by 5? 4 Suppose -311 = 4*y + 3*z, 4*y - 2*z + 291 = -z. Let v = y - -121. Let p = 11 + 1. Calculate the remainder when v is divided by p. 11 Suppose 2*a = -a + 507. Suppose -4*l = -3*w - a, -l + 33 = -w - 10. Let x(p) = p**2 - p - 6. What is the remainder when l is divided by x(5)? 12 Let f(d) = -2*d**3 + 14*d**2 + 20. Calculate the remainder when 59 is divided by f(7). 19 Let n(b) = -31*b + 1. Let f be n(-1). Calculate the remainder when 2 + 1 - -1*f is divided by 19. 16 Suppose 4*p + u - 15 = 0, 2*p - u = 5*p - 10. Suppose q - 110 = -4*q + p*m, -3*q + 46 = 2*m. Calculate the remainder when (-1)/(-4) - 207/(-4) is divided by q. 16 Let i = -6 + 20. Suppose 13 = 4*v - 147.
{ "pile_set_name": "DM Mathematics" }
n 6530 is divided by 1433. 798 What is the remainder when 1082975 is divided by 312? 23 Calculate the remainder when 7380 is divided by 669. 21 What is the remainder when 241073 is divided by 340? 13 What is the remainder when 151872 is divided by 50622? 6 What is the remainder when 369047 is divided by 115? 12 What is the remainder when 237 is divided by 104? 29 Calculate the remainder when 2098 is divided by 340. 58 Calculate the remainder when 5261 is divided by 373. 39 What is the remainder when 639773 is divided by 164? 9 What is the remainder when 3898 is divided by 63? 55 What is the remainder when 6082 is divided by 504? 34 Calculate the remainder when 2075 is divided by 189. 185 What is the remainder when 3537 is divided by 193? 63 Calculate the remainder when 28884 is divided by 278. 250 What is the remainder when 45405 is divided by 257? 173 Calculate the remainder when 446818 is divided by 111703. 6 Calculate the remainder when 1204 is divided by 81. 70 Calculate the remainder when 14563 is divided by 15. 13 What is the remainder when 394 is divided by 58? 46 Calculate the remainder when 1568 is divided by 384. 32 What is the remainder when 3673 is divided by 230? 223 What is the remainder when 9754 is divided by 2437? 6 What is the remainder when 1657 is divided by 548? 13 What is the remainder when 30038 is divided by 81? 68 What is the remainder when 45912 is divided by 1093? 6 Calculate the remainder when 2582 is divided by 852. 26 Calculate the remainder when 193705 is divided by 193692. 13 Calculate the remainder when 285 is divided by 124. 37 Calculate the remainder when 727358 is divided by 242449. 11 Calculate the remainder when 1786 is divided by 418. 114 Calculate the remainder when 305 is divided by 111. 83 What is the remainder when 744439 is divided by 148? 147 What is the remainder when 2936 is divided by 475? 86 What is the remainder when 3834 is divided by 167? 160 What is the remainder when 1754 is divided by 571? 41 What is the remainder when 9179 is divided by 224? 219 Calculate the remainder when 29939 is divided by 18. 5 What is the remainder when 84956 is divided by 7722? 14 What is the remainder when 3407 is divided by 672? 47 Calculate the remainder when 1099679 is divided by 232. 231 What is the remainder when 7334 is divided by 204? 194 Calculate the remainder when 3002 is divided by 426. 20 What is the remainder when 12388 is divided by 106? 92 What is the remainder when 25339 is divided by 239? 5 What is the remainder when 1383040 is divided by 8644? 0 What is the remainder when 169787 is divided by 385? 2 What is the remainder when 7130 is divided by 577? 206 Calculate the remainder when 32265 is divided by 4589. 142 What is the remainder when 739147 is divided by 161? 157 What is the remainder when 989 is divided by 288? 125 Calculate the remainder when 4233 is divided by 603. 12 Calculate the remainder when 787 is divided by 112. 3 What is the remainder when 4144 is divided by 178? 50 What is the remainder when 52171 is divided by 492? 19 Calculate the remainder when 7755 is divided by 2572. 39 Calculate the remainder when 1466 is divided by 322. 178 Calculate the remainder when 31619 is divided by 18. 11 Calculate the remainder when 6407 is divided by 102. 83 What is the remainder when 513148 is divided by 311? 309 Calculate the remainder when 10636 is divided by 9. 7 Calculate the remainder when 253063 is divided by 721. 713 Calculate the remainder when 1873 is divided by 811. 251 What is the remainder when 77199 is divided by 186? 9 What is the remainder when 7705 is divided by 117? 100 What is the remainder when 7674 is divided by 60? 54 What is the remainder when 118968 is divided by 9912? 24 Calculate the remainder when 3293 is divided by 175. 143 What is the remainder when 5103 is divided by 1782? 1539 What is the remainder when 1710 is divided by 52? 46 What is the remainder when 2035 is divided by 1934? 101 What is the remainder when 172748 is divided by 203? 198 Calculate the remainder when 1884 is divided by 88. 36 What is the remainder when 76303 is divided by 12697? 121 Calculate the remainder when 31425 is divided by 242. 207 What is the remainder when 252360 is divided by 8412? 0 Calculate the remainder when 9665 is divided by 1606. 29 What is the remainder when 511 is divided by 23? 5 What is the remainder when 2600 is divided by 626? 96 Calculate the remainder when 848 is divided by 449. 399 What is the remainder when 2013 is divided by 26? 11 Calculate the remainder when 3599 is divided by 42. 29 Calculate the remainder when 255461 is divided by 78. 11 What is the remainder when 202443 is divided by 67469? 36 What is the remainder when 1402 is divided by 692? 18 Calculate the remainder when 919 is divided by 8. 7 What is the remainder when 1730311 is divided by 401? 397 What is the remainder when 98726 is divided by 10968? 14 What is the remainder when 1780968 is divided by 47? 44 Calculate the remainder when 18871 is divided by 127. 75 Calculate the remainder when 38676 is divided by 9. 3 What is the remainder when 2842 is divided by 933? 43 Calculate the remainder when 154228 is divided by 17134. 22 What is the remainder when 4221 is divided by 213? 174 Calculate the remainder when 30801 is divided by 119. 99 What is the remainder when 25975 is divided by 75? 25 What is the remainder when 121407 is divided by 9? 6 Calculate the remainder when 21194 is divided by 962. 30 What is the remainder when 1344 is divided by 668? 8 What is the remainder when 10089 is divided by 2? 1 What is the remainder when 295514 is divided by 33? 32 Calculate the remainder when 3353 is divided by 280. 273 Calculate the remainder when 10819 is divided by 73. 15 What is the remainder when 123300 is divided by 37? 16 What is the remainder when 18853 is divided by 633? 496 What is the remainder when 19195 is divided by 2736? 43 What is the remainder when 134061 is divided by 67024? 13 Calculate the remainder when 1592 is divided by 265. 2 What is the remainder when 394910 is divided by 28? 26 What is the remainder when 8531 is divided by 373? 325 Calculate the remainder when 185554 is divided by 92774. 6 What is the remainder when 45303 is divided by 221? 219 Calculate the remainder when 4993748 is divided by 19. 16 Calculate the remainder when 4919 is divided by 82. 81 Calculate the remainder when 1145 is divided by 245. 165 Calculate the remainder when 2043366 is divided by 9. 6 What is the remainder when 10430 is divided by 10422? 8 Calculate the remainder when 1308 is divided by 419. 51 What is the remainder when 28122 is divided by 9? 6 Calculate the remainder when 134280 is divided by 218. 210 What is the remainder when 2063 is divided by 215? 128 What is the remainder when 27091 is divided by 343? 337 What is the remainder when 128156 is divided by 178? 174 Calculate the remainder when 146140 is divided by 207. 205 What is the remainder when 9010 is divided by 4428? 154 Calculate the remainder when 1141 is divided by 457. 227 What is the remainder when 35918 is divided by 3? 2 Calculate the remainder when 7118 is divided by 1185. 8 Calculate the remainder when 1093 is divided by 28. 1 What is the remainder when 59121 is divided by 287? 286 What is the remainder when 1278641 is divided by 1369? 1364 What is the remainder when 20212 is divided by 19? 15 What is the remainder when 83638 is divided by 375? 13 Calculate the remainder when 32852 is divided by 313. 300 What is the remainder when 38519 is divided by 99? 8 What is the remainder when 637 is divided by 303? 31 Calculate the remainder when 49722 is divided by 237. 189 What is the remainder when 1902 is divided by 764? 374 What is the remainder when 13214 is divided by 6389? 436 What is the remainder when 24777 is divided by 282? 243 Calculate the remainder when 878 is divided by 168. 38 What is the remainder when 831 is divided by 342? 147 What is the remainder when 47991 is divided by 117? 21 Calculate the remainder when 1340 is divided by 224. 220 Calculate the remainder when 10914 is divided by 3559. 237 What is the remainder when 2207 is divided by 34? 31 Calculate the remainder when 11398 is divided by 1424. 6 What is the remainder whe
{ "pile_set_name": "DM Mathematics" }
-2*sqrt(5) Simplify (sqrt(1377) + (-2 + sqrt(1377))*3 + sqrt(1377) - (1 + sqrt(1377))*2)**2. -432*sqrt(17) + 12457 Simplify (-5*(sqrt(1700) - (sqrt(1700) + -1)) + -1)*-6. 36 Simplify -1 + (0 + sqrt(832) + sqrt(832))*5 - ((sqrt(1300) + 3*sqrt(1300))**2 + (sqrt(130) - sqrt(130)*1)/sqrt(10)). -20801 + 80*sqrt(13) Simplify -4*(sqrt(39)/(4*sqrt(3)) - (1 + sqrt(156)/sqrt(12))). 4 + 3*sqrt(13) Simplify -2 + sqrt(26)/(-2*sqrt(2))*2*-3. -2 + 3*sqrt(13) Simplify (5 + (1*sqrt(132)*6)/(sqrt(44)/(sqrt(4) - -2*sqrt(4))))**2. 360*sqrt(3) + 3913 Simplify (((3 + (sqrt(128) + -1 + sqrt(128) - sqrt(128)) + sqrt(128))*5 - (-5 + -1 + -2*sqrt(128)))*-6)**2. 110592*sqrt(2) + 672768 Simplify (sqrt(1404) - (-2*sqrt(1404) - sqrt(1404))*-5)/(2*(sqrt(15)/sqrt(45) - sqrt(3))). 63*sqrt(13) Simplify (sqrt(243) + 3*(sqrt(243) + 2*sqrt(243)) + -3)**2 + -5 + 2. -540*sqrt(3) + 24306 Simplify -1 + (sqrt(252) - (-3 + sqrt(252))) + (3*(sqrt(252) - -2*sqrt(252)))**2. 20414 Simplify (sqrt(187) + -2*sqrt(187)*1 + 3*sqrt(187)*1)/(-1*sqrt(22)/sqrt(2)*-6). sqrt(17)/3 Simplify ((sqrt(98) + -3*(sqrt(98) + 1*sqrt(98)) - (sqrt(98) - sqrt(98)*5*-2)) + 4)**2. -896*sqrt(2) + 25104 Simplify ((sqrt(18)*-3*-6)/(sqrt(486) + sqrt(486)*2 - sqrt(6))*-1)**2. 243/169 Simplify (-1*-1*sqrt(65) - sqrt(65))/(sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(5) + (sqrt(5) - sqrt(20)*2))))*-4. 0 Simplify (1*(sqrt(10) + sqrt(10)*2) - sqrt(10)*-2*4)/(sqrt(14)/(sqrt(7) - sqrt(21)/sqrt(3)*5)). -44*sqrt(5) Simplify (-2*(-5 + sqrt(20)) + -1)*5. -20*sqrt(5) + 45 Simplify (-1*(6*-1*sqrt(132) - sqrt(132)))/(sqrt(1728)*2*-3). -7*sqrt(11)/72 Simplify (sqrt(285)/(sqrt(5) + -2*sqrt(5))*5)/(2*sqrt(3)*2 + sqrt(3) - 2*sqrt(300)). sqrt(19)/3 Simplify ((2*sqrt(576) - sqrt(16))/(sqrt(128)*2)*1)**2. 121/32 Simplify 0 + (sqrt(19) - (-4 + -1 + sqrt(19))**2) + (sqrt(209)*-1*-1)/sqrt(11). -44 + 12*sqrt(19) Simplify 3*(-5 + (2 + -1*(4*(sqrt(500) - sqrt(500)*-2) + sqrt(500) + sqrt(500)))**2). -1680*sqrt(5) + 293997 Simplify (sqrt(70)/(sqrt(10) - 1*sqrt(10) - sqrt(10))*-2 + -1 + 0 + sqrt(567) + 5)*-1. -11*sqrt(7) - 4 Simplify (-3*(-2*sqrt(136)*-4 - -1*sqrt(136)*1)/(-1*(sqrt(1152) + sqrt(1152)*2 + sqrt(1152))))**2. 1377/256 Simplify (sqrt(750)*-2)/((sqrt(160) - (sqrt(160) + -1*sqrt(160))) + sqrt(160) + sqrt(160))*2. -5*sqrt(3)/3 Simplify 1*((sqrt(2) + sqrt(24)/sqrt(12) + -1)**2*2 + 3). -8*sqrt(2) + 21 Simplify (sqrt(260)/((sqrt(35) - (sqrt(35) + sqrt(140)/sqrt(4)))/sqrt(7)))/(sqrt(16)/(sqrt(400)*-1 + sqrt(4))) + 1. 1 + 9*sqrt(13) Simplify ((-5 + 1 + -2 + sqrt(1539) + -1)*-6)**2. -4536*sqrt(19) + 57168 Simplify sqrt(567) - (sqrt(567) + (sqrt(567) + 1)**2*-4) - (sqrt(28)/sqrt(4) + 4)*-1. 73*sqrt(7) + 2276 Simplify -5*(sqrt(95)/(sqrt(40)/(sqrt(56)/sqrt(7)) + sqrt(5)) + sqrt(190)/(3*sqrt(50)/sqrt(5))). -25*sqrt(19)/6 Simplify (sqrt(152)*-2*-6 - ((sqrt(152) + 1*sqrt(152) - sqrt(152))*-6 - sqrt(152)))/(5*sqrt(32)*-1). -19*sqrt(19)/10 Simplify (1*-4*((-1 + sqrt(637) - sqrt(13)) + -3*(2 + sqrt(13))))**2. -672*sqrt(13) + 2656 Simplify 3*(4*(sqrt(200)*2*-2 + (sqrt(200) - (sqrt(200) + sqrt(200) + 0 + sqrt(200) - sqrt(200))) + 4 + sqrt(200) + -1))**2. -11520*sqrt(2) + 154032 Simplify (1*-2*sqrt(4) - (sqrt(192)/sqrt(4))/sqrt(12))/(-5*(sqrt(2) - -1*sqrt(2) - sqrt(2)) - (2*sqrt(20))/sqrt(10)). 3*sqrt(2)/7 Simplify 1*(-2 + -2*(sqrt(512) + 2 + sqrt(32) - sqrt(32)))**2. 384*sqrt(2) + 2084 Simplify 2*((-1 + sqrt(48))**2 - (1 + 1*sqrt(3)))*-2. -192 + 36*sqrt(3) Simplify 5*sqrt(1088)*-1*6*4. -960*sqrt(17) Simplify -4*(5 + (sqrt(117)*4)**2 + 4). -7524 Simplify (-2*sqrt(288))**2*-4*-6*1. 27648 Simplify (((sqrt(102) - -3*sqrt(102))*-4)/sqrt(6) + -5)*6 + -5. -96*sqrt(17) - 35 Simplify 3*(3*sqrt(5))**2 + sqrt(60)/(sqrt(24)/sqrt(2)) + -4. sqrt(5) + 131 Simplify ((3*3*1*sqrt(228))/((sqrt(360)/sqrt(90))/sqrt(3)))**2. 13851 Simplify ((sqrt(847) - (sqrt(847) + -2))*3 + 4 - (4*(sqrt(847) + 1 - sqrt(847)) - (sqrt(847) + (sqrt(847) - -1*sqrt(847))*-4)))**2. -924*sqrt(7) + 41539 Simplify 3*-4*(sqrt(22)/((sqrt(2) - (sqrt(28)/sqrt(2))/sqrt(7)) + sqrt(2) + sqrt(2)) - sqrt(66)/(sqrt(6) - sqrt(150)*1))**2. -297/4 Simplify -6*(1 + sqrt(242) + 2 + 1 + sqrt(242) + -4 + -4*(sqrt(242) + sqrt(242)*2 + 2))**2. -145584 - 10560*sqrt(2) Simplify sqrt(1088) - ((sqrt(1088)*-1)**2 + 4) - (sqrt(1088) + -2*sqrt(1088) + 4) - (6*(sqrt(1088) + 1)*2)**2. -157912 - 2288*sqrt(17) Simplify (sqrt(25)*-2*4 - (sqrt(25) + (sqrt(125)/sqrt(5)*-2 - sqrt(25))))/(1*(sqrt(500) - (3*sqrt(500) - sqrt(500)))). 3*sqrt(5)/5 Simplify (((sqrt(171)*2 - sqrt(171))*6 - sqrt(171))*-3)/(-3*(6*sqrt(324) + sqrt(9))). 5*sqrt(19)/37 Simplify 4*(((sqrt(32) + sqrt(2))*-1)**2 + -5 - (sqrt(64)/sqrt(2) + 1 - sqrt(32))**2). 176 Simplify (-1*((sqrt(1300) + 0)*3 - -1*(-1 + sqrt(1300)) - ((sqrt(1300) + sqrt(1300)*1)*-5 + 4)))**2. -1400*sqrt(13) + 254825 Simplify (1*-5*-5*(sqrt(612) + 0)*6)**2. 13770000 Simplify (2*-2*sqrt(156) - sqrt(156) - sqrt(156))/((sqrt(300) - -2*sqrt(300)) + sqrt(300))*-2*-4. -12*sqrt(13)/5 Simplify sqrt(18)/(1*sqrt(729) - sqrt(729) - sqrt(9)) - 2*(-2*sqrt(4))/sqrt(2). 3*sqrt(2) Simplify ((-5*sqrt(108)*1 + 2*sqrt(432) + -5)*4)**2. 960*sqrt(3) + 2128 Simplify ((1*-3*sqrt(64) - sqrt(64))/sqrt(4))/(sqrt(32) - (sqrt(384)*-2)/sqrt(12)). -2*sqrt(2)/3 Simplify (2*(sqrt(304) + sqrt(19)) + -3 + 0)**2 - (0 + sqrt(1900) + 1 + (4 + 0 + sqrt(1900))**2). -150*sqrt(19) - 8 Simplify (1*sqrt(196)/(sqrt(7) - -1*sqrt(7)))**2 + 1. 8 Simplify (sqrt(1300) + (sqrt(1300) - 5*(-1*sqrt(1300) - sqrt(1300)))**2 - ((sqrt(1300) - (sqrt(1300) + -1)**2) + -5)) + 5. -20*sqrt(13) + 158611 Simplify (sqrt(77)/(sqrt(21)/sqrt(3))*-3 + 2 + -3)**2. 6*sqrt(11) + 100 Simplify (-4*(1*sqrt(143) + sqrt(143)) - (sqrt(143) + (-2*sqrt(143) - sqrt(143))*-2))/(2*sqrt(99) + sqrt(539)*-1) + -3. -3 + 15*sqrt(13) Simplify (3*(1*sqrt(65)*2)/(sqrt(80)*2)*3 + 0)**2. 1053/16 Simplify (3 + 5 + sqrt(972) + -4*(0 + sqrt(972)))**2. -864*sqrt(3) + 8812 Simplify ((sqrt(396) + sqrt(396)*-1*-2)/(2*sqrt(100) - (sqrt(64)/sqrt(4))/sqrt(4)))**2. 11 Simplify (5*(sqrt(102) - (sqrt(102)*2 - sqrt(102))) + sqrt(102))/((sqrt(54) - sqrt(486)) + sqrt(54) - sqrt(6))*-2. sqrt(17)/2 Simplify (-6*(-4*(sqrt(605) - (-1 + sqrt(605))) + sqrt(605)*-1 + sqrt(605) + -5) + 0)**2 + 1. 2917 Simplify ((1*sqrt(1053) + -1 - ((sqrt(1053)*-3)**2 - sqrt(1053))*-4) + -1)*-2. -75812 + 54*sqrt(13) Simplify (sqrt(275) + (sqrt(275) - (sqrt(275) + -1 + sqrt(275)))*-2)**2 + 1*(sqrt(539)*3)**2. -60*sqrt(11) + 7330 Simplify 2*-5*(2 + ((sqrt(343) + sqrt(343)*2)*-4)**2 + (sqrt(343) + 1)**2*-6). -473300 + 840*sqrt(7) Simplify (-6*sqrt(1408))/(3*sqrt(8)/sqrt(4)). -16*sqrt(11) Simplify ((sqrt(78) + sqrt(78) + (sqrt(78) - (sqrt(78) - 2*sqrt(78))))*-1*-5)/(sqrt(150)*-3 - -4*sqrt(12)/sqrt(2)). -20*sqrt(13)/11 Simplify -3*(3 + (-6*sqrt(154)/sqrt(7))/sqrt(2)). -9 + 18*sqrt(11) Simplify ((2*sqrt(500) - (sqrt(20) + (sqrt(20) - sqrt(80)/sqrt(4)*-4)))/((sqrt(10) - -2*sqrt(160)) + 3*sqrt(10)*-1 + sqrt(10))*-3)**2. 288/49 Simplify (6*(-2 + sqrt(1216)))**2 + 4 + (sqrt(171)*3)**2. -1152*sqrt(19) + 45463 Simplify ((((1*sqrt(204) - sqrt(204)) + sqrt(204) - sqrt(204)) + sqrt(204))*2)/(sqrt(96)/(sqrt(8) - sqrt(72)))*-4. 16*sqrt(17) Simplify ((sqrt(300) + 0 + sqrt(3) + sqrt(12) + 1)**2 - (sqrt(21) + sqrt(168)/(sqrt(8)*1 + sqrt(8)))/sqrt(7))*5. 245*sqrt(3)/2 + 2540 Simplify (sqrt(550)/(sqrt(20)/sqrt(2)))/((sqrt(40)*2)/sqrt(8) - sqrt(5)) + 4 + sqrt(66)/(2*sqrt(150)). 11*sqrt(11)/10 + 4 Simplify -2 + 1 + (sqrt(5324) - sqrt(5324)*1)/(sqrt(768)/sqrt(12) - sqrt(4)) + -1. -2 Simplify 4*(-4 + (1*sqrt(11) + sqrt(11))**2 + -5 + sqrt(66)/(sqrt(18)/sqrt(3)) + 0 + -1). 4*sqrt(11) + 136 Simplify (sqrt(120)*5 - sqrt(30) - sqrt(30))/(1*sqrt(36)/sqrt(6)). 8*sqrt(5) Simplify (-1 + sqrt(243) + 2)**2 + (0 + sqrt(243))*-5 - (sqrt(27)/((sqrt(81)*2)/sqrt(9)) + 3). -55*sqrt(3)/2 + 241 Simplify (-3*-3*sqrt(68)*5)/(sqrt(12)/(sqrt(3)*-2) + 3*(sqrt(4) - 2*sqrt(4))). -90*sqrt(17)/7 Simplify 5*(2 + -2*sqrt(175)) + -3 + -1. -50*sqrt(7) + 6 Simplify (sqrt(132) + -1*sqrt(132)*-6 - 1*sqrt(132)*3)/(-5*-2*sqrt(192)). sqrt(11)/10 Simplify (2 + sqrt(2448)*1 + 3 + 1 + sqrt(2448))**2*-5*2. -98280 - 2880*sqrt(17) Simplify (1*4*(sqrt(33) + sqrt(132)))/(-5*((sqrt(3) - (sqrt(12) - (sqrt(12) + sqrt(72)/sqrt(6)))/sqrt(4)) + sqrt(3))). -4*sqrt(11)/5 Simplify 2 + 5*(sqrt(704) + -2*-1*sqrt(7
{ "pile_set_name": "DM Mathematics" }
+ 37. Let x(w) = -4*w**2 - 2*w + 12. Let t(f) = -3*k(f) + 8*x(f). Is t(-8) composite? True Let q(l) = l**3 - 4*l**2 - 6*l - 1. Let n be q(5). Is (-604)/(-8) - n/4 prime? False Suppose -u = 5*u - 6834. Is u prime? False Let u = 2 + 1. Suppose 0 = 2*k + 3*m - 454, u*k = -4*m + 328 + 355. Is k prime? True Let k(a) = a**3 + 10*a**2 + a + 14. Let u be k(-10). Suppose -u*s - s = 15. Is -3 + 474 + s - 1 a composite number? False Let d be 2 - (-4 - 2/2). Is 6/(-21) + 499/d a prime number? True Let b = 16 - -22. Suppose -b = -0*q - 2*q. Is q prime? True Let q(u) = u**3 - u**2 + u. Let t(r) = r**3 - 3*r**2 + 4*r - 3. Let f(p) = 2*q(p) - t(p). Is f(2) a prime number? True Let i(j) = 10*j + 7. Let g(c) = -3*c - 1. Let a be g(-5). Let l = a + -8. Is i(l) a composite number? False Let i = -54 + 37. Is 2*(3 + -2) - i a composite number? False Let r be 48/(-15) - (-2)/10. Let d(v) = -15*v - 1. Let p be d(r). Let l = p + -11. Is l a composite number? True Suppose 2*x = -2*x + 152. Suppose -5*p = q - 2*q - 68, -2*p - 5*q = -x. Is p a composite number? True Suppose -3*s + 4*f + f = 1, 0 = -s - 5*f + 13. Suppose 2*j - s = -j. Is 66 - (1/j + -2) a prime number? True Suppose 6*r - 1466 = -320. Is r a composite number? False Let o(m) = -2*m**2 - 3*m - 2. Let t be o(-2). Is (-5 - t)/((-1)/33) a composite number? True Let g(f) = -f**3 + f**2 + f + 7. Suppose -4*q + 8 = 3*p + 23, -5*p - 25 = -q. Let h be g(q). Suppose -5*k = x - h - 21, -128 = -4*x - 4*k. Is x prime? False Suppose 2*v - 7*v = -725. Is v a prime number? False Suppose 7*p + 60 = 3*p. Suppose 5 = x + 4*h, 5*x + h - 54 - 66 = 0. Let g = p + x. Is g prime? False Let b = 152 - 51. Suppose 3*w - b = 10. Suppose 2*s = -6*c + 3*c + 101, w = c - s. Is c prime? False Let x = 1 - -2. Suppose 5*m + 4 = -x*n, n - m = 3 + 1. Suppose -357 = n*d - 5*d. Is d a composite number? True Suppose -100 = 3*q + 2. Let g = 2 + q. Let d = g + 55. Is d a prime number? True Suppose -4*c = 5*a + 9, -2*c + 6*c + 3*a + 7 = 0. Suppose 4*j = 9*j + 10. Is -2 - (c + -45 + j) composite? True Let k(u) = u**2 - 1. Let f be k(-2). Let n(o) = 9 + 3*o + 0 + 4*o**2 - f*o**2. Is n(-7) a composite number? False Is 4205/3 + (-56)/84 a composite number? True Suppose -v = 3*t - 979, 3*t + 3*v - 1251 = -270. Is t composite? True Suppose -7 + 1 = -2*u. Suppose -2*t = -u*t + 2. Suppose 5*d + 4*x - 1445 = 0, -2*x = t*d + 45 - 621. Is d a prime number? True Let h be 124/(-2)*(-7)/14. Is h*(-2)/(-4)*2 composite? False Let w be 1 - 2 - (0 - 599). Suppose 4*h - w = -0*y + y, -440 = -3*h + 5*y. Suppose 4*d + g - h = 3*d, -g - 148 = -d. Is d a prime number? True Is (-1101)/(-2) - 2/(-4) a prime number? False Let r = -8 + 47. Let j = 170 - r. Is j a prime number? True Let h = -5 + -2. Let d(g) = -43*g - 8. Is d(h) a prime number? True Let u(k) = k + 2. Let f be u(-2). Suppose f = b - 6*b. Suppose b = 5*w + 5*p - 120, -3*w - 19 + 85 = p. Is w prime? False Suppose -4 - 24 = -4*m - 4*c, 20 = 2*m + 4*c. Suppose -3*z - m*n = -19, 2*z - n = -2*n + 6. Is 192 - (2 + (0 - z)) prime? True Let i(s) = 6*s. Let v be i(1). Suppose 0 = -2*o - 3*t - v, -o - 3*t + 0*t - 9 = 0. Suppose -m = -o*m + 178. Is m a composite number? False Suppose -4*p + 84 = b - 5*b, -p = -3*b - 61. Let d = b - -87. Is d a prime number? True Let b(k) = k**3 + 6*k**2 + k + 8. Let r be b(-6). Suppose -q - 458 = -r*q. Suppose 4*c + 5*o - q = 755, 0 = -c - 5*o + 292. Is c prime? True Let i(z) = 20*z**3 + z**2 + z + 1. Suppose -4*j - 4*w = -16, 5*j + 38 - 8 = 5*w. Let y be i(j). Let h = y + 38. Is h a prime number? True Let g(u) = 2*u**3 - 5*u**2 + 10*u - 11. Is g(4) a composite number? True Is 59585/35 - 4/(-7) prime? False Let n be (24/9 + -2)*-6. Let v(l) = 12*l + 2. Let z be v(n). Let w = -32 - z. Is w a composite number? True Let m(r) = 5*r**2 + 2*r + 5. Let p(f) = -11*f**2 - 3*f - 10. Let l(o) = -9*m(o) - 4*p(o). Let g be l(-4). Let q = 6 - g. Is q prime? True Let j = -131 + 544. Is j composite? True Let l(g) = 476*g. Let u be l(-2). Let m = 1430 + u. Suppose 3*x - s - m = 0, x - 5*x + 669 = 5*s. Is x a prime number? False Let n be (0/2)/(-2) - -4. Suppose -n*k = g + 9, -4*k - 5*g = -3 - 0. Is 47 + 0 + k + 3 a composite number? False Let p = 8720 - 4111. Is p a prime number? False Let q(f) = f**2 - 5*f - 2. Let l be q(6). Suppose 19 = l*h - 3*h. Is h a composite number? False Is 3928/6 - (-5)/15 a prime number? False Suppose -r = -5*r. Suppose r = 2*o + b - 407, 5*o - 3*b + 642 = 1676. Is o composite? True Let a(k) = 2*k**2 - k + 1. Let d be a(1). Let r be ((-3)/d)/(12/16). Is (0 - -1)*(-22)/r a prime number? True Suppose 2 = 4*r + 6. Let h(v) = -v + 1. Let a be h(r). Is a + (-1 + -1 - -7) prime? True Suppose -2*s - 4 = -4*s, -5*s + 345 = 5*v. Suppose -3*o = -5*o. Is v/(0 + 1 + o) a composite number? False Suppose k = -3*u + 3*k + 52, 2*u + 3*k - 13 = 0. Is u prime? False Let h be (-6)/2*-1 - -1. Suppose -5*u + h = 3*a, 0 = -5*u + 2*a - 8 + 22. Is 68/7 - u/(-7) a composite number? True Suppose -r = -4*i - 2*r - 1130, -5*i + r - 1408 = 0. Let n be (i/4)/((-12)/(-16)). Is 5/(((-8)/n)/4) prime? False Suppose i - 5*n - 2738 - 1441 = 0, 4*i - 3*n = 16682. Is i a composite number? True Let b be (-12)/66 + 1102/11. Let l = b - 29. Is l prime? True Let f = -12 - -17. Let c = 523 - 313. Suppose f*o = 4*a - c - 132, 3*a = 3*o + 255. Is a a prime number? True Let n = -11 + 5. Let k(s) = 8*s**2 + 8*s - 5. Is k(n) a composite number? True Let v(h) = h**2 - 2*h - 3. Let z be v(4). Suppose -3*n + 502 = z*b, 0*b = 4*b + 3*n - 404. Let y = -61 + b. Is y prime? True Let y be 6/15 + (-13)/(-5). Suppose -43 = y*m - 4*m. Is m composite? False Suppose 2*o + 5*x = 159, -2*x - 168 = -2*o - 4*x. Suppose b + 0*r = r - 45, -5*b - 235 = -3*r. Let a = b + o. Is a composite? False Let v(b) = 3*b**2 - 2*b + 1. Let i be v(1). Suppose 5*w - i*w = -96. Is -2 - (-1 + 0 + w) prime? True Let t = 3865 + -614. Is t a prime number? True Suppose -4*d = -5*m + 401, 3*d + 0*d = -5*m + 373. Is m a prime number? False Let v = 238 - 83. Is v prime? False Suppose 5*w = 2*v + 1224, -w - 5*v + 507 = w. Suppose 5*m - 24 + 73 = j, -5*m = 4*j - w. Is j a composite number? False Let f(y) = y + 5. Let s be f(-3). Suppose 0 = 3*k - 2*k - 85. Suppose -v = -s*v + k. Is v prime? False Let m = 576 + -19. Is m composite? False Let g(o) = -29*o + 7. Let i(p) = -87*p + 22. Let s(h) = 7*g(h) - 2*i(h). Let q = 1 - 5. Is s(q) composite? True Suppose -4*d - d + u + 636 = 0, 2*u = -2. Is d prime? True Let s = -4 + 6. Suppose 5*w = -f - 80 + 555, 4*f + s*w - 1936 = 0. Is f a composite number? True Let i be (7/(-5) - -1) + (-96)/10. Let h(z) = z**3 + 2*z**2 + z - 2. Let j be h(-2). Is j/i - 1426/(-10) composite? True Let n(b) = -b. Let v be n(1). Let z = v + 1. Suppose 3*o + 0*o - 18 = z. Is o a prime number? False Let a = -3 - -2. Let u be (-160 - -4)*(-3)/2. Let h = u + a. Is h a prime number? True Let q be 1/3 + 2/(-6). Is 1 + 129 + (q - 3) prime? True Suppose 2*h = 10, -5*t - 20 = -4*t - 4*h. Suppose -s = -3*n - 214, 5*n = 3*s - t*n - 630. Is s a prime number? False Let n(l) = -l**2 + 6*l - 3. Let h be n(3). Let g be ((-8)/h)/((-4)/102). Suppose b = 5*r + 33, g = 2*b - 0*b - 2*r. Is b composite? False Suppose q + p = 6, 2*q - 1 = -4*p + 19. Suppose -10 = -5*d, q*c + 3*d = c + 8. Suppose 2*m + c*m - 268 = 0. Is m prime? True Let q = 3820 - 2279. Is q a composite number? True Let q(n) = -75*n + 17. Let r(l) = 38*l - 9. Let k(j) = 6*q(j) + 11*r(j). Is k(-11) prime? False Let j = -162 - -227. Is j a prime number? False Suppose -40 = b - 5*f, -5*b + 3*f - 273 = -7. Let k = b - -135. Suppose -2*u + k = -14. Is u composite? False Suppose 4*p - 1346 = 2*p. Is p a prime number? True Let d = 2077 + 72. Is d prime? False Let g be (-1)/(((-15)/(-6))/(-5)). Suppose -101 = -j - 2*j + g*x, 0 = -3*x + 15. Is j a composite number? False Let c = 0 - -5. Suppose 2*y + 2 + 0 = 0, c*j + y - 2344 = 0. Is j a composite number? True Let o(d) = d**2 - 9*d + 4. Let i be o(9). Suppose -2*g + 11 = 5*f, f + 17 = 6*f + 4*g. Is (i/(-12))/(f/(-57)) composite? False Suppose 2*r - 15 = -r, 0 = h + 2*r - 10. Let g be (-105)/(-18) - 3/(-18). Suppose h*z + 2*z + g = 0, -z = -2*o + 109. Is o composite? False Let j = 2 + -1. Let x be j/(-3) - 1084/(-12). Suppose x = 5*z - 5*l, 5*z - 3*l = -4*l +
{ "pile_set_name": "DM Mathematics" }
hat comes next: -88, -92, -106, -136, -188? -268 What is the next term in 896, 1788, 2680, 3572, 4464, 5356? 6248 What is the next term in -82, -292, -642, -1132, -1762, -2532? -3442 What is the next term in 17111, 17110, 17099, 17072, 17023, 16946, 16835? 16684 What is next in -768, -765, -768, -783, -816, -873? -960 What is the next term in -26, -40, -78, -152, -274, -456, -710? -1048 What is the next term in 1659, 3316, 4973? 6630 What is the next term in -112, -404, -894, -1588, -2492, -3612? -4954 What comes next: 57, 104, 151, 198, 245, 292? 339 What is next in -252, -260, -274, -294, -320, -352, -390? -434 What is the next term in -36, -33, -30, -27, -24, -21? -18 What comes next: 2590, 5181, 7774, 10369? 12966 What comes next: 34, 29, 12, -23, -82? -171 What is the next term in 51, 57, 65, 75? 87 What comes next: -2232, -2230, -2230, -2232? -2236 What comes next: -1791, -3583, -5377, -7173, -8971, -10771? -12573 What is next in -50, -48, -46, -44, -42? -40 What is next in 2, 3, 4? 5 What is next in 6741, 6734, 6723, 6708? 6689 What is the next term in 136, 279, 422, 565, 708, 851? 994 What is next in -138, -137, -136, -135, -134, -133? -132 What comes next: 176, 164, 150, 134, 116, 96, 74? 50 What is the next term in -8312, -8313, -8314, -8315? -8316 What is the next term in 250, 228, 190, 136? 66 What comes next: 57, 58, 57, 54, 49, 42, 33? 22 What is the next term in 112, 113, 114, 115, 116? 117 What comes next: 987, 986, 985? 984 What comes next: -4, -16, -34, -58, -88, -124? -166 What comes next: -2332, -2324, -2302, -2260, -2192? -2092 What is next in 31, 61, 93, 127, 163, 201? 241 What is the next term in -3, -13, -27, -45, -67, -93, -123? -157 What is the next term in -79, -163, -247? -331 What is next in 72, 145, 218, 291, 364, 437? 510 What is the next term in 799, 1605, 2413, 3223, 4035, 4849, 5665? 6483 What is the next term in 55, 24, -23, -92, -189, -320, -491, -708? -977 What comes next: -121, -223, -351, -517, -733, -1011, -1363? -1801 What is next in -131, -188, -273, -398, -575, -816, -1133? -1538 What is next in -15, -27, -57, -111, -195? -315 What comes next: -608, -618, -628, -638? -648 What is next in -4782, -4781, -4780, -4779? -4778 What comes next: -9, -29, -57, -93, -137, -189? -249 What comes next: -33, -50, -67? -84 What is next in 14, 77, 210, 419, 710, 1089, 1562? 2135 What comes next: 2086, 2090, 2096, 2104, 2114, 2126, 2140? 2156 What is the next term in 1, -4, -5, 4, 29, 76, 151? 260 What comes next: -93, -100, -111, -126, -145, -168, -195? -226 What is next in -1455, -2907, -4357, -5805, -7251, -8695, -10137? -11577 What is next in -165, -677, -1531, -2727, -4265? -6145 What is next in -7216, -7218, -7220? -7222 What is next in -128, -477, -1058, -1871, -2916, -4193? -5702 What comes next: 202, 177, 122, 25, -126, -343, -638, -1023? -1510 What is next in 51, 57, 67, 81, 99? 121 What is next in -140, -217, -298, -383, -472, -565? -662 What comes next: 664, 662, 662, 664? 668 What is next in -35, -103, -217, -377, -583, -835, -1133? -1477 What comes next: -2044, -4082, -6118, -8152, -10184, -12214? -14242 What is the next term in -4221, -8440, -12657, -16872, -21085, -25296? -29505 What is next in 37, 81, 129, 181, 237? 297 What comes next: 9, 10, 17, 36, 73, 134, 225, 352? 521 What is the next term in -180, -362, -544? -726 What is next in 51, 225, 697, 1617, 3135, 5401, 8565, 12777? 18187 What comes next: -105, -107, -121, -153, -209, -295? -417 What is next in 633, 624, 613, 600? 585 What is the next term in 855, 3414, 7679, 13650, 21327, 30710, 41799? 54594 What is next in 832, 827, 818, 805, 788? 767 What comes next: 20, 78, 182, 338, 552? 830 What is the next term in 17, 58, 141, 278, 481, 762, 1133? 1606 What is next in 38, 35, 30, 23, 14, 3? -10 What is next in -69, -120, -173, -228? -285 What is next in 20446, 20445, 20444, 20443, 20442? 20441 What comes next: -39, -34, -29, -24? -19 What comes next: -780, -777, -774, -771? -768 What is the next term in 1095, 1092, 1089? 1086 What is next in 43, 83, 123? 163 What is next in -92, -88, -92, -110, -148? -212 What comes next: 906, 913, 932, 969, 1030, 1121, 1248, 1417? 1634 What comes next: -50, 6, 114, 286, 534, 870, 1306, 1854? 2526 What is next in 5023, 5022, 5021, 5020? 5019 What is next in 502, 503, 504, 505, 506, 507? 508 What is the next term in -18, -8, 4, 12, 10, -8? -48 What is the next term in -14, -18, -20, -20, -18? -14 What comes next: 17, 20, 27, 38, 53? 72 What comes next: 159, 232, 305, 378? 451 What is next in -41, -83, -125? -167 What comes next: -27, -22, -17, -12, -7, -2? 3 What is the next term in 1300, 5161, 11596, 20605, 32188, 46345, 63076? 82381 What is the next term in 2349, 2338, 2311, 2262, 2185, 2074, 1923? 1726 What is next in 13221, 13219, 13217, 13215, 13213? 13211 What is the next term in -28, -51, -86, -139, -216? -323 What comes next: 3, 24, 63, 126, 219, 348, 519? 738 What is next in 97, 200, 305, 412? 521 What is the next term in -1630, -1621, -1612? -1603 What is the next term in -556, -2204, -4948, -8788? -13724 What is the next term in 52, 63, 68, 61, 36, -13? -92 What comes next: 91, 188, 285, 382, 479, 576? 673 What comes next: -28, -56, -110, -202, -344, -548? -826 What comes next: 107, 106, 105? 104 What is the next term in -120, -125, -132, -141? -152 What is next in -212, -428, -644, -860, -1076, -1292? -1508 What is the next term in 2315, 4637, 6965, 9299, 11639, 13985? 16337 What is the next term in 1024, 2047, 3070? 4093 What is the next term in 12, 60, 140, 258, 420? 632 What comes next: -64, -324, -770, -1408, -2244, -3284? -4534 What is the next term in 13, 21, 35, 55, 81? 113 What is the next term in 50, 30, -18, -106, -246, -450, -730, -1098? -1566 What is next in 578, 2308, 5192, 9230, 14422? 20768 What is next in -362, -376, -390, -404, -418, -432? -446 What comes next: -58, -119, -188, -271, -374, -503, -664? -863 What comes next: 957, 1920, 2885, 3852, 4821? 5792 What is next in 14879, 14880, 14881, 14882? 14883 What comes next: 31, 105, 221, 379, 579? 821 What is the next term in -60, -33, 4, 45, 84, 115, 132? 129 What is next in 3, 1, 1, 3, 7? 13 What is the next term in 22, 37, 78, 157, 286, 477, 742? 1093 What comes next: 3382, 6765, 10148? 13531 What is next in -62769, -62768, -62767, -62766, -62765, -62764? -62763 What is the next term in 394, 391, 388, 385? 382 What is the next term in -43, -56, -85, -136, -215, -328? -481 What is next in 17545, 35091, 52637, 70183, 87729, 105275? 122821 What is next in -239, -487, -743, -1007, -1279? -1559 What is the next term in 44892, 44893, 44894, 44895, 44896? 44897 What is the next term in 211, 425, 641, 859, 1079, 1301, 1525? 1751 What is the next term in -3454, -3453, -3452? -3451 What comes next: 379, 390, 401? 412 What is next in -5, 16, 75, 190, 379? 660 What is next in -24, -37, -54, -75, -100, -129, -162? -199 What is next in 18, 70, 158, 282? 442 What is next in 76, 123, 142, 127, 72, -29, -182? -393 What comes next: -37, -45, -61, -91, -141, -217, -325, -471? -661 What comes next: 40, 69, 96, 121, 144? 165 What is the next term in 10911, 21821, 32731? 43641 What is next in -76, -147, -214, -277, -336, -391, -442? -489 What is next in -4910, -4908, -4906, -4904, -4902, -4900? -4898 What is the next term in 32, 17, 0, -19, -40, -63? -88 What is next in -3336, -3337, -3338, -3339, -3340, -3341? -3342 What comes next: 153, 159, 165, 171, 177? 183 What is next in -183, -218, -263, -324, -407, -518, -663? -848 What comes next: -99, -195, -293, -393, -495, -599, -705? -813 What is the next term in -124, -260, -394, -526, -656, -784? -910 What comes next: 749, 744, 729, 698, 645, 564, 449, 294? 93 What comes next: -1153, -1163, -1175, -1189, -1205, -1223? -1243 What is next in -53, -77, -107, -149, -209, -293, -407? -557 What comes next: 0, 0, 4, 12, 24? 40 What is the next term in 98, 123, 148, 173, 198? 223 What is the next term in 2, -14, -54, -130, -254, -438, -694, -1034? -1470 What is next in 1, 7, 17, 31, 49, 71? 97 What is the next term in 135, 131, 127? 123 What is next in 262, 264, 266, 268, 270? 272 What is the next term in -163, -174, -187, -202, -219, -238? -259 What comes next: 1716, 3430, 5144? 6858 What is the next term in
{ "pile_set_name": "DM Mathematics" }
qrt(128)))*6. 2850*sqrt(17) Simplify (3 + 3*(-1*sqrt(288) + -2) + -2 + -3*sqrt(288)*3)**2 + -2. 1440*sqrt(2) + 41495 Simplify (-6*-6*-2*sqrt(8)*2)/((sqrt(784)*-1 + sqrt(16))/(sqrt(400)*1)). 240*sqrt(2) Simplify -1*(-6*2*sqrt(132))/sqrt(12) + ((sqrt(88)*2)/sqrt(8) - sqrt(22)/(sqrt(2)*2)). 27*sqrt(11)/2 Simplify sqrt(190)/sqrt(40)*-2*3 - ((-1*sqrt(152)/sqrt(4))/(1*sqrt(162) + sqrt(162) - sqrt(2)))**2. -3*sqrt(19) - 19/289 Simplify -2*(2 + (sqrt(2057) - (1 + sqrt(2057))) + -1 - ((sqrt(2057) - (sqrt(2057) + sqrt(2057) + -1)) + -4 - (0 + sqrt(2057) + 5))**2). 704*sqrt(17) + 16584 Simplify (sqrt(1300) + -2*sqrt(1300))/(sqrt(20)/(3*sqrt(5) - sqrt(5))) + ((sqrt(832)*-2)/(sqrt(144)*-2))**2. -10*sqrt(13) + 52/9 Simplify (((sqrt(294)/sqrt(54))/(sqrt(700)*1) + (sqrt(7) + 0)*2 + (2*sqrt(49))/sqrt(7) + 4)*1)**2. 484*sqrt(7)/15 + 116887/900 Simplify (-3*-1*sqrt(77) - (sqrt(77)*-1 + sqrt(77) + sqrt(77))*-4)/(sqrt(7) + (-1*sqrt(14)/sqrt(2) - sqrt(7)) - sqrt(112)/sqrt(4))*-5 + 1. 1 + 35*sqrt(11)/3 Simplify 4 + ((1*(sqrt(50)*-2*4)/sqrt(5))/((sqrt(110)/sqrt(2)*-3)/(sqrt(275) + (sqrt(275) - (sqrt(275) + -2*sqrt(275))) + sqrt(275))))**2. 51236/9 Simplify (-2 + -4 + 1*(4 + sqrt(1539) + sqrt(1539) + -1*sqrt(1539) - sqrt(1539))*6 + 5)**2*3. 1587 Simplify -2*(1 + 1*(-5 + -1 + sqrt(612))*-5*-4)**2 + 0. -517922 + 57120*sqrt(17) Simplify -2 + ((4*(sqrt(68) + 5 + sqrt(68) + -3 - sqrt(68)))**2 - (4 + 2 + sqrt(68) + 2)) + 1. 126*sqrt(17) + 1143 Simplify (3 + ((sqrt(300) - (sqrt(300) + -3))*2 - sqrt(300))*2 + (sqrt(300) + 5 + 3)*-5 + 3)**2. 3080*sqrt(3) + 15184 Simplify -6*(-3*(sqrt(68) - sqrt(68)*2) + (2*sqrt(68) + sqrt(68))*6 + sqrt(68))/((sqrt(480)/(sqrt(10)*2) + sqrt(48))/sqrt(12)). -88*sqrt(17) Simplify (((sqrt(121) - (sqrt(121) - sqrt(121)*-2)*-3) + (-1*sqrt(121) - sqrt(121))*-6)/(3*(sqrt(891) + (sqrt(891)*-2 - sqrt(891)))*-3))**2. 1331/6561 Simplify (4*(sqrt(784) + sqrt(784)*-2) + sqrt(784) + -2*(sqrt(784) - sqrt(784)*2))/(sqrt(88)/(sqrt(11)*5) + -2*sqrt(8)*3). 35*sqrt(2)/29 Simplify ((sqrt(48) + (sqrt(4800) - sqrt(4800)*-2))/(sqrt(2) - sqrt(18)*-4))/(sqrt(88)/(-1*sqrt(1331))*1) + -1. -341*sqrt(3)/13 - 1 Simplify -2*-4*(-2 + -5 + (4*sqrt(204)*-2)/(6*sqrt(300))). -56 - 32*sqrt(17)/15 Simplify ((-3*sqrt(125) + 3 + 3)*4)**2 - (((sqrt(125) - sqrt(125)*3) + 5)**2 - (sqrt(125) - (-5*(-1*sqrt(125) - sqrt(125)))**2)). -2775*sqrt(5) + 5551 Simplify (2*((0 + (2*sqrt(432) + -5 + sqrt(432) - sqrt(432)) + sqrt(432) + sqrt(432) - (sqrt(432)*-2*-5 - (-1*(-1 + sqrt(432)) + sqrt(432)))) + 0))**2. 2304*sqrt(3) + 62272 Simplify ((4*1*sqrt(102))/(sqrt(24)/sqrt(4)*-4) + (sqrt(1088) + ((sqrt(1088) + -1)*-4 - sqrt(1088)) + sqrt(1088))**2*-4)*3*4. -470784 + 9204*sqrt(17) Simplify -2*(sqrt(175)*4 + -2)**2 - (-4 + sqrt(252))*-4*-1. -5592 + 136*sqrt(7) Simplify -5*(sqrt(162) + 1*sqrt(162) + sqrt(162) + -2 + 1)**2 - (2*(0 + sqrt(162) - sqrt(162)) + (sqrt(162) + -2)**2*6)*6. -13271 + 1566*sqrt(2) Simplify (1 + sqrt(1539) + -5 + sqrt(1539) + ((sqrt(1539) - sqrt(1539)*2) + 5 - sqrt(1539)) - (-6*sqrt(1539)*-2 + (sqrt(1539) + 4 + 0 - sqrt(1539))))**2. 648*sqrt(19) + 221625 Simplify -1*((4 + sqrt(847) + -1 - sqrt(847) - -5*sqrt(847)*-2) + -2)*2. -2 + 220*sqrt(7) Simplify (4*-2*sqrt(245) + -1 + 4)**2*-2*4 + 5. -125507 + 2688*sqrt(5) Simplify -5*(4 + -2 + ((2*sqrt(630))/sqrt(10))/((sqrt(9) - sqrt(225))*-5))**2*-2*6. 24*sqrt(7) + 1221/5 Simplify 3*(-3 + (sqrt(27)/(sqrt(9)*1) - (1 + sqrt(432)))*1 + -5 + sqrt(12)/sqrt(4) + sqrt(75)*-4)**2. 1620*sqrt(3) + 8343 Simplify (-2*((sqrt(105)/sqrt(3) - sqrt(35))*3 - (sqrt(35) - (sqrt(35) + sqrt(35) + sqrt(385)/(sqrt(44)/sqrt(4))))))/(-2*sqrt(1575)*5). 2*sqrt(5)/75 Simplify ((-4 + sqrt(1539)*-2 - sqrt(1539)*-2*1)*1 + -6*(sqrt(684) - (sqrt(684) - (sqrt(684) + 2*(sqrt(684) + -1) + sqrt(684) + sqrt(684))))*-6)**2. -164160*sqrt(19) + 22167376 Simplify (-3*sqrt(180)*2)/(sqrt(48)/(2*sqrt(768))) + 2. -288*sqrt(5) + 2 Simplify 3*(-2 + sqrt(500))**2*-5 - -3*(sqrt(500) - (sqrt(500) - (sqrt(500) + -3 + (sqrt(500) - (sqrt(500) + -2)))**2)). -6057 + 540*sqrt(5) Simplify (-4*(sqrt(392) - (sqrt(392) + (sqrt(392)*1 - sqrt(392)))*-4)/sqrt(7))/((sqrt(4000)*2)/(sqrt(60)/sqrt(192))). -sqrt(7)/4 Simplify (0 + (0 + sqrt(11) + -5 + sqrt(77)/(sqrt(7)*2))*6)*-2*2. -36*sqrt(11) + 120 Simplify -1 + (3*(3*(3*sqrt(468) + -4 - -3*(sqrt(468) + -2 + sqrt(468))) + -4 + 4))**2. -87480*sqrt(13) + 3078647 Simplify ((6*(sqrt(132)*-4 + sqrt(132)) + sqrt(132) + -3*(sqrt(132) + sqrt(132)*2))/((sqrt(84) + (sqrt(84) - 6*1*sqrt(84)) - sqrt(84))/sqrt(7)*4))**2. 1859/100 Simplify 2*((sqrt(1900) + sqrt(1900) + 1 + -3 - (sqrt(1900) - (sqrt(1900) + 0 + sqrt(1900) + -1)))**2 - (-3*sqrt(1900)*-2 + sqrt(1900) + sqrt(1900))*-4)*6. 1680*sqrt(19) + 205308 Simplify ((-2*sqrt(275)*-6 + 1 - -5*(0 + 1*sqrt(275))) + -2)**2. -170*sqrt(11) + 79476 Simplify -3 + sqrt(50) - (sqrt(10)/sqrt(5) + 1) - (4 + 5 + -1 + sqrt(200))**2. -268 - 156*sqrt(2) Simplify (3*(-2 + 2*sqrt(6050)))**2 + (((sqrt(242)*4)/sqrt(11))/(-3*-1*sqrt(11) + sqrt(11)))**2. -3960*sqrt(2) + 217838 Simplify (((sqrt(352) + sqrt(352) + 1*sqrt(352)*3)*-3)/(4*sqrt(200)*3))**2. 11/4 Simplify ((sqrt(162)*2 + sqrt(162))*3 - 3*(0 + sqrt(162)))*2 - (-3 + -2 + sqrt(162) + 2)*1. 3 + 99*sqrt(2) Simplify 1*(5 + (2 + 2*sqrt(612) - 4*-1*sqrt(612))) + -1 + 0. 6 + 36*sqrt(17) Simplify 5 + (5 + sqrt(22)/(sqrt(8)/(sqrt(16)/sqrt(4))) - (1 + 3*1*sqrt(1584))). -35*sqrt(11) + 9 Simplify (-6*(6*(0 + sqrt(176)) + -2 + (sqrt(176)*2 + 5 - sqrt(176) - sqrt(176)*-1*-1)))**2. 5184*sqrt(11) + 228420 Simplify -1 + (5*(sqrt(245) - (sqrt(245) + 0)) + -5)**2 - (sqrt(2940)/sqrt(2))/(sqrt(6) - -1*sqrt(216)). -sqrt(5) + 24 Simplify -3 + 2 + -1 + -6*((sqrt(252)*-2 + -2 - sqrt(252))*-5)**2 + 3. -340799 - 10800*sqrt(7) Simplify ((3 + 5 + -1 + sqrt(2299) + -4 + sqrt(2299)*2 + sqrt(2299))*-1*2)**2. 1056*sqrt(19) + 147172 Simplify (-1*-5*(sqrt(77) + sqrt(77) + 3*sqrt(77)*-1))/((sqrt(1008) + -2*sqrt(1008))*5 + -4*1*sqrt(1008)). 5*sqrt(11)/108 Simplify sqrt(576)/(sqrt(12) - (sqrt(12) + sqrt(12) + sqrt(12) + sqrt(1200)*2)) + -2 + 4*sqrt(6912). -2 + 2110*sqrt(3)/11 Simplify ((sqrt(650)*-1 + -2*sqrt(2106))/(-5*sqrt(32)/sqrt(4)*-6))**2. 6877/3600 Simplify -3 + -2 + 1*(-3*(-1*sqrt(539))**2 + (-4 + sqrt(539)*2)**2 + -5). -112*sqrt(11) + 545 Simplify -1 + ((sqrt(66)*2*-1 + sqrt(66) - (-3*2*sqrt(66) - sqrt(66)))*3)/(-5*(sqrt(6) - sqrt(54)) + sqrt(6) + (3*sqrt(12))/sqrt(2)). -1 + 9*sqrt(11)/7 Simplify -4*(6*(sqrt(15)/(sqrt(45)/sqrt(9)) + sqrt(243)*4 + 2 + -3))**2*-2. -21312*sqrt(3) + 1183104 Simplify 4*((1*sqrt(96)/sqrt(4))/((3*sqrt(96) + sqrt(96))/sqrt(8)) + -1)*-5. -5*sqrt(2) + 20 Simplify 4 + (1 + ((sqrt(208)/sqrt(4) - sqrt(52)) + -3 - (sqrt(468) + 0)))**2 + 4. 24*sqrt(13) + 480 Simplify 0 + -3 + 1*((0 + sqrt(1250) + -5 - (2*sqrt(1250) + 1)**2) + 5). -5004 - 75*sqrt(2) Simplify (((-2*sqrt(1500) - (2*sqrt(420) + sqrt(420))/sqrt(7))*-4)/((sqrt(168)/sqrt(63))/(sqrt(8)/(-1*sqrt(4)) - sqrt(2))))**2. 486720 Simplify (1*(sqrt(60) + sqrt(300)/sqrt(5) + sqrt(60)) + sqrt(60) + sqrt(360)/(sqrt(42)/sqrt(7)))/(5*5*sqrt(384)/sqrt(2)). sqrt(5)/20 Simplify (((-4 + (sqrt(500) + 1 - sqrt(500)))*-6 + 1 - ((-3 + sqrt(500)*1 - sqrt(500) - sqrt(500) - sqrt(500)) + -5 + 2)) + 3)**2. 1120*sqrt(5) + 2784 Simplify -1*(sqrt(48)/((sqrt(72)/sqrt(4))/sqrt(6)))/(sqrt(72)/((3*sqrt(72))/sqrt(8))). -3*sqrt(2) Simplify -5*((-1*sqrt(684) + -5 - ((0 + sqrt(684))*5)**2) + -4*(-2 + sqrt(684) + 1 + sqrt(684)))*-3. -256515 - 810*sqrt(19) Simplify 3 + (-4 + 4*(sqrt(720) - 1*sqrt(720)) + (2*sqrt(720) - sqrt(720))*-5)*-6. 27 + 360*sqrt(5) Simplify (-1*sqrt(63)/sqrt(7) - sqrt(9) - sqrt(108)/(sqrt(12)*-1))/(sqrt(768)*-2*4). sqrt(3)/128 Simplify 2 + -4 + (((-2*(sqrt(240) - sqrt(240)*1) - sqrt(240))/sqrt(10))/(sqrt(60)/((sqrt(270)/sqrt(6))/sqrt(9))))**2. 0 Simplify (-1*sqrt(3136))/(6*sqrt(112))*-3 - (5 + -5 + sqrt(343) + sqrt(343)*-1 + 4)**2. -16 + sqrt(7) Simplify (-2*sqrt(152)*-1 + sqrt(152))/(sqrt(8) - (sqrt(8) + sqrt(32))*3) - (-2 + sqrt(931) - ((2 + sqrt(171) - sqrt(171)) + sqrt(171)))**2. -320 + 253*sqrt(19)/8 Simplify -4*(sqrt(18)/(sqrt(24)/sqrt(4)*1) + 3 - 4*((sqrt(3) + 2*sqrt(3))*5 + sqrt(3)*-1*-4)) + 4. -8 + 300*sqrt(3) Simplify (0 + -3*(sqrt(12)*4 + sqrt(3)) + 6*(sqrt(192)*-2)/sqrt(4))**2 + 3. 16878 Simplify (1*sqrt(76) + 5 + 5)*1 + (3*(3*(0 + sq
{ "pile_set_name": "DM Mathematics" }
n and give x. -2 Express -g**2 - 31580*g**3 - 3*g + 31714*g**3 + 3*g - 2 as u + p*g**3 + s*g + i*g**2 and give u. -2 Rearrange (-t + 2*t + 0*t)*(-3 + 3 + t**3) + 135*t**4 + 323*t**4 - 57*t**4 to y*t**3 + x + g*t**2 + s*t + u*t**4 and give u. 402 Express -83*a**4 + 46*a**4 + 46*a**4 - 11*a**3 + (3*a**2 - 2*a**2 + 0*a**2)*(-a**2 - 3*a**2 + 5*a**2) as h + y*a + m*a**4 + x*a**2 + k*a**3 and give x. 0 Express 553*v**2 - 189*v**2 + 490*v**2 + 41*v**2 in the form i + q*v + u*v**2 and give u. 895 Rearrange -23*v**2 + v**4 - 2*v**3 - 15*v**2 + 40*v**2 - 3 to the form m*v**3 + x*v + d*v**2 + o + k*v**4 and give k. 1 Express (-3 - 3 + 0)*(-1 + 0 - 1)*(-27*n + 27*n - 24*n**2) in the form p*n**2 + h*n + x and give h. 0 Rearrange -9*t - 86*t - 86*t + 0*t + 0*t + t + (2 + 3 - 4)*(-3*t - t + 2*t) - 3*t + 0 + 0 to the form h*t + g and give h. -185 Express 3*d**3 + 331*d**2 - 2*d - 2 - 326*d**2 - d + 0*d**4 - 2*d**4 in the form l*d**3 + b + m*d + c*d**4 + w*d**2 and give c. -2 Rearrange h - 5 + 10 - h**2 - 5*h + h to t + q*h**2 + n*h and give t. 5 Rearrange (-1 - 3 + 3)*(-5*q + 29*q - 10*q)*((-5*q + 0*q + 3*q)*(2 - 7 + 2) - 3*q + 2*q - q + 2*q - 4*q + 0*q - q - 3*q - q) to o*q + p + w*q**2 and give w. 42 Express ((-3*w + 7*w + 0*w)*(3 + 0 + 1) + 4*w + 15 - 15)*(2*w**3 + 0*w**3 - 3*w**3) as t + f*w**2 + n*w**3 + p*w**4 + d*w and give p. -20 Rearrange (-h**2 + 0*h**2 + 3*h**2)*(-14 + 13 - 26)*(-h + 2 + 3*h - h) to t*h**3 + q*h**2 + f*h + p and give q. -108 Rearrange 147*q**3 - q + q**2 + 33 - 35 - 4*q**4 - 129*q**3 to m*q + s + d*q**4 + r*q**2 + l*q**3 and give r. 1 Rearrange 2796*r**2 + 48372*r - 48372*r to u*r + q*r**2 + t and give t. 0 Rearrange -24*r + 1 - 1 - 199*r to the form k*r + o and give k. -223 Rearrange -102*u**2 + 92*u**2 - 5*u + 5*u - 6 to the form i*u**2 + o + p*u and give i. -10 Rearrange (-2 + 2 + h)*(27027*h - 27027*h + 505*h**2) to the form t*h**2 + z*h**3 + v*h + m and give z. 505 Express (3 + 7*u - 3 + (-2 + 0 + 1)*(3*u + 3 - 3))*((-2 - 3 + 6)*(-37 - 15 - 17) - 4 + 6 - 1) in the form m*u + o and give m. -272 Express (0 + 0 + j)*(-2*j**2 - 16*j**3 - 96*j - j**3 + 19*j**3) in the form q*j + b*j**2 + c + p*j**3 + o*j**4 and give b. -96 Express (2 + 0 + 2)*(-2 - 5*f + 2) - 59*f + 117*f + 1 - 61*f in the form z + x*f and give z. 1 Rearrange (-3 - 3 + 4)*(15*t - 10*t + 17*t) + 24*t + t + 23*t to the form s + i*t and give i. 4 Rearrange z - 5 + 98*z**2 - 80*z**2 + 3 to j*z + b*z**2 + h and give b. 18 Express 193*q + q**2 - 1654*q**4 + 26*q + 1655*q**4 in the form d*q + i*q**4 + w*q**3 + p + r*q**2 and give d. 219 Express -994*p - 362*p - 766*p + 122*p in the form i + j*p and give j. -2000 Express (-6978 + 8303 - 4315)*(0*p - 2*p**3 - p + 2*p) in the form w*p**2 + j*p + t*p**3 + z and give t. 5980 Express -r**2 + 4*r**2 + 3*r**2 + (-4*r - r + 3*r)*(0*r - 3*r + 2*r) + (-12*r**2 + 44*r**2 + 19*r**2)*(-4 + 2 + 0) in the form l*r + a + s*r**2 and give s. -94 Rearrange 4*v + 538 - 505 - 11*v to the form k + n*v and give k. 33 Express 48*m + 118*m + 9*m + 196*m in the form h + x*m and give x. 371 Express -89*u**3 + u**2 - 10 + 5 + 101*u**3 as g + v*u**3 + r*u + p*u**2 and give v. 12 Express -879*n - 279*n - 3 - 4 + 7 in the form h*n + g and give g. 0 Express (3 + 1 - 5)*(-4 + h**2 + 4) + 4*h**2 + h**2 - 2*h**2 + (-h**2 - 3*h**2 + 0*h**2)*(2 - 4 + 0) as k*h**2 + c*h + g and give k. 10 Express 83 - 111 + 50*y - 140 - 47*y in the form q + i*y and give q. -168 Express -26*g - 23*g + 2*g**3 + 90*g - 17*g - 20*g - g**2 + 38 in the form r*g + m*g**2 + n*g**3 + k and give r. 4 Express 2*f + 19*f**3 + 6*f + 4*f + 2 + f - 2*f**2 - 11*f in the form r*f + k*f**2 + h + t*f**3 and give t. 19 Express -7 - 11*q + 6 + 3*q**3 - 38*q - 3*q**2 + 3 in the form h + r*q**2 + n*q**3 + u*q and give h. 2 Express q**2 - 2*q**2 - q**2 - 2*q**2 - 2*q + 2*q + (84 - 84 - 75*q**2)*(3 + 0 - 4) in the form h*q + w*q**2 + d and give h. 0 Rearrange 469*f + 241*f - 80*f + 183*f to the form t*f + c and give t. 813 Express -76 - 69 - 74 - 2082*z**2 + 219 as t + l*z + b*z**2 and give b. -2082 Rearrange 4 + 6*t + 264*t**2 - 265*t**2 - 2*t**4 + 10*t to o*t**3 + v*t + a + m*t**4 + h*t**2 and give m. -2 Rearrange ((-8 - 2 + 0)*(2 - 1 + 1) - 2 + 4 + 0)*(2 - 7*u - 2)*(-u + u + 5*u) to the form c*u**2 + o + v*u and give c. 630 Rearrange (1 - 1 + 3*g + (1 - 4 + 1)*(-2*g + 2*g + 3*g) + 3*g - g - g - g - 4*g + 6*g)*((-3 + 4 - 3)*(2 + 4 - 2) - 4 + 1 + 2) to k*g + m and give k. 9 Rearrange (10879*h - 5435*h - 85 + 35 - 5436*h)*(4 + 1 - 4) to s*h + m and give s. 8 Express (n + 7*n - 3*n)*(105*n + 28*n - 42*n) as t*n**2 + x*n + k and give t. 455 Express 12*g - 14*g + 2*g + 1889*g**2 as z*g + l*g**2 + f and give l. 1889 Express -432 + 141 + 143 - 7*f + 135 as v*f + l and give v. -7 Rearrange 19*f - 26*f - 33 - 11 + 7*f + 5*f**2 to h*f + l + d*f**2 and give l. -44 Rearrange (7 - 7 + 11*z)*(-2*z + z + 2*z)*(6 - 6 + 7*z) + z**3 - 3*z**3 + 4*z**3 to the form a*z**2 + s*z + t*z**3 + l and give t. 79 Rearrange (-2 + 2 - 3)*(-2*m + 0 + 0)*(-171 + 55 - 61) to s*m + p and give s. -1062 Rearrange (y + y + 0*y)*(-270 + 1037 + 540 + 737 - 380) to the form c*y + n and give c. 3328 Express -9*z - 45 - 36 + 120 - 36 in the form g*z + d and give g. -9 Express 17*v**4 - 2*v + 4*v + 189*v**3 - 3 - 188*v**3 + 2 in the form z + b*v + l*v**4 + s*v**2 + i*v**3 and give l. 17 Rearrange (3 - 1 - 1)*(3 - 6044*h + 51 - 58 + 4) to s + i*h and give i. -6044 Express (-21*g**2 - 9247*g - 3 + 9247*g)*(g**2 - g**2 - 2*g**2) as y*g**2 + k*g**4 + r*g**3 + b*g + u and give y. 6 Rearrange -13*o**2 + 5*o**3 - 40 + 42 + 14*o**2 + 88*o**3 to r*o**2 + q*o**3 + g + v*o and give g. 2 Express (2 - 2*k - 2)*(22*k + 25*k - 19*k) + 0*k**2 - k**2 - k**2 in the form d*k**2 + r + b*k and give d. -58 Express -4 + 2 - 3*y**4 - 10*y**4 + y + 2*y**2 + 35*y**4 in the form c + m*y**2 + z*y + i*y**4 + f*y**3 and give c. -2 Express -95*t**3 + 5 + 31*t**2 - 31*t**2 - 3 + 128*t**3 in the form f*t**3 + u*t + z + y*t**2 and give f. 33 Rearrange (m**2 - 5*m**2 - 2*m**2)*((-24*m + 152*m - 31*m)*(2 + 0 + 0) + 2 - 3*m - 2 + (0 + 1 + 0)*(2*m - 4*m + 4*m)) to q*m**2 + r*m + u*m**3 + i and give u. -1158 Express -33 + 0*u + 2*u - 27 + 17 in the form g + p*u and give p. 2 Express 42 - 137 - 869*x**2 + 48 + 47 in the form c*x**2 + h + a*x and give c. -869 Express (-10*t**2 + 17*t**2 - 5*t**2)*(-5 + 2 + 0) + 4 - 2 + t**2 + t**2 in the form p*t**2 + r + y*t and give p. -4 Rearrange -1101 + 1104 - 5*j + 2*j - 6*j to y + v*j and give y. 3 Rearrange -x**4 - 2 + 2 + (-2 + 3 + 1)*(19*x**4 + 16*x**4 - 82*x**4) + 2*x**4 - 3*x**2 + 3*x**2 to the form f*x + n*x**3 + o*x**2 + d*x**4 + t and give d. -93 Rearrange 406*o**3 + 605*o**2 + 602*o**2 - 1209*o**2 to the form t*o**2 + x*o**3 + v + p*o and give t. -2 Rearrange (-1 - 2*l + 1)*(-27661*l**2 + 27661*l**2 - 478*l**3) to the form v*l**2 + o*l**3 + c + t*l**4 + r*l and give t. 956 Express (-2*z + 4*z + 0*z)*((37*z - z + 4*z)*(-1 + 3 - 4) + 3*z - 2*z + 4*z) as r + h*z**2 + j*z and give h. -150 Express 2*o**2 + 472*o**3 - 467*o**3 + 2*o**2 - 18 as v*o**3 + u*o**2 + s*o + m and give v. 5 Express -20*j + 80*j + 385*j as v + a*j and give a. 445 Express -232*y + 44 + 110*y + 105*y as m*y + q and give m. -17 Rearrange (-6*r - 1 + 2 + 3*r)*(-90 + 40 + 15)*(-4*r + 3*r + 3*r) to v*r + z*r**2 + u and give v. -70 Express -44843 - 4*q + 102*q**2 + 44843 in the form k*q**2 + b*q + s and give b. -4 Express 3*l**2 + 1 + 5*l - 5*l**2 - 6*l - l**4 - 5*l**2 - 3*l**2 as n*l**3 + y*l + x + g*l**2 + h*l**4 and give h. -1 Express 2*g**3 + 24*g + 8*g**4 - 4*g**4 + 26*g - g**4 as z*g + x*g**4 + a + i*g**3 + m*g**2 and give z. 50 Rearrange 3*g**3 + 1 + 5*g + g**4 - 4*g - 10*g**2 + 5*g**2 - 3*g**2 to z*g**2 + c*g**3 + f*g**4 + r*g + w and give r. 1 Rearrange -97*z**2 + 5*z + 187*z**2 - 6*z - 2 - 102*z**2 - 5*z**3 to the form m*z**2 + w*z + t*z**3 + x and give m. -12 Express 5*o**3 - 8*o**3 + 6*o**3 + 6 + (2*o**2 + 4 - 4)*(5*o - 3*o - 4*o) + o**3 - o**3 - 3*o**3 as y*o**3 + f*o**2 + r*o + k and give y. -4 Express -2*p**4 + 4*p**2 - 368*p + 349*p + 0*p**2 in the form d*p**2 + h*p**4 + c*p + i + a*p**3 and give i. 0 Express (g + 0*g + 0*g + (-1 + 3 - 4)*(0*g - 4*g + 2*g) + g - g + g)*(-1 + 1 + 1)*(-74 + 152 + 147) as z + i*g and give i. 1350 Express (2*w + 1 - 1)*(0
{ "pile_set_name": "DM Mathematics" }
). What is the highest common factor of 7 and f? 7 Suppose 0*z + 195 = z - 3*a, 5*z - 985 = 5*a. Let y be (-12 + 14)/((-1)/(-2)) - -14. What is the highest common factor of z and y? 18 Suppose 15*q - 133 = 13*q + s, 5*q = 3*s + 330. What is the greatest common divisor of 506 and q? 23 Suppose -4*j + 15 = -17. Suppose -2 = -d + j. Calculate the greatest common factor of 270 and d. 10 Suppose -45*a + 30*a + 180 = 0. Suppose 0 = 5*c - 4*r - 39, 2*r - 52 = -2*c - 2*c. Let t = 23 - c. What is the greatest common factor of a and t? 12 Let n(a) = 13*a**3 - a**2 + a - 1. Suppose -r + 6*r = -q - 4, -q = -4*r - 5. Let k be n(q). Suppose t - k = 3. What is the greatest common factor of t and 30? 15 Let s = 271 + -191. Suppose 191 = 5*x - 9. What is the greatest common factor of s and x? 40 Let r = 254 - 220. Calculate the greatest common divisor of r and 85. 17 Let w be (-7*1)/((-17)/374). What is the greatest common divisor of w and 42? 14 Let t(a) = -a - 1 + a**2 + 2*a**2 - a. Let b be t(-1). Suppose -3*i = -4*z + 19, 4*z + 49*i - 51*i - 18 = 0. Calculate the greatest common divisor of b and z. 4 Suppose 0 = -5*f + 1235 + 2105. Suppose 2*w - 4*j = f, -330 = -w - j + 7. Suppose -7*u + 3*u + w = 0. Calculate the greatest common divisor of 21 and u. 21 Let h = 218 + -202. Calculate the greatest common divisor of h and 32. 16 Let l = -152 - -292. What is the highest common divisor of l and 100? 20 Suppose 9*c - 179 + 26 = 0. Suppose 0 = -c*v - 185 + 474. Calculate the greatest common factor of 187 and v. 17 Suppose 3*a + 152 = -4*o, -5*o - 78 - 112 = -5*a. Let c = -26 - o. What is the greatest common factor of c and 12? 12 Suppose 5*a = -2*y + 4*y - 91, -2*y = 3*a - 51. What is the highest common factor of y and 891? 33 Suppose 0 = 3*m + q - 71, -m = 4*q - 2*q - 17. Calculate the highest common divisor of 675 and m. 25 Suppose -4*u = -3*x - 701, -x + 199 = u + 29. Let b = -144 + u. Let y(r) = 233*r**2 + 2*r + 1. Let n be y(-1). What is the highest common factor of b and n? 29 Let i(z) = -z**2 - 4*z + 3. Let d be i(-4). Suppose 0 = h + d*h - 364. What is the highest common factor of h and 13? 13 Let c be 50*(-1)/2*(-14)/5. What is the greatest common divisor of c and 40? 10 Let f(c) = c**3 - 18*c**2 - 71*c - 62. Let j be f(22). What is the greatest common divisor of 208 and j? 104 Suppose 3*b - 3*q = q + 10, 4*b - 16 = 4*q. Suppose -b*o = -52 - 182. Let j(t) = t**2 - 6*t + 6. Let c be j(7). Calculate the greatest common factor of o and c. 13 Let f be 149 + (1 - (-8 + 4)). Calculate the highest common divisor of f and 110. 22 Suppose 4*v = 2*u - v - 36, -11 = -u - v. Let r be (-822)/(-16) + 1060/1696. Calculate the greatest common divisor of r and u. 13 Suppose 46 - 6 = 10*c. Suppose -8*q + c*q = -64. Calculate the greatest common divisor of q and 56. 8 Let j(n) = -2*n**3 - 41*n**2 - 7*n - 95. Let p be j(-21). Calculate the greatest common divisor of 29 and p. 29 Let m be -3*1*1/(27/(-396)). Suppose -1 = 3*w - 13. What is the highest common factor of m and w? 4 Let w be (-11)/((-231)/14) - (-716)/6. What is the highest common factor of 40 and w? 40 Let f = -1198 + 1221. Calculate the greatest common divisor of 161 and f. 23 Let n be (-2 + 0)*(-178)/4. Let y = -142 + n. Let b = y - -125. What is the greatest common divisor of 9 and b? 9 Suppose 0 = -125*x + 62*x + 1827. Calculate the greatest common factor of 29 and x. 29 Let v(h) = -2*h**2 + 30*h - 12. Let y be v(10). What is the highest common divisor of y and 33? 11 Let x = -18 - -41. Let i be (1/(-2))/((-2)/644). What is the highest common factor of i and x? 23 Suppose 0 = 5*s, -m - 3*s = -2*m. Suppose m = 28*w - 23*w - 115. Let z = -12 + w. Calculate the highest common divisor of 121 and z. 11 Let r be 12/(92/80 - (-12)/(-16)). Calculate the greatest common factor of r and 270. 30 Let u = 479 + -279. Suppose -2*z + 5*f = 3*z - u, 4*f = -16. Let c be (-12)/(-10)*(-10)/(-3). Calculate the highest common divisor of z and c. 4 Suppose 2*l = -v + 973, -14*l + 17*l + v = 1457. Calculate the greatest common factor of 44 and l. 44 Suppose 0 = 18*p - 464 - 400. Calculate the highest common factor of p and 36. 12 Suppose 146 - 31 = 5*q - 3*n, -2*q - 5*n = -46. Let v = 575 - 323. Let m be 1 - (2*v)/(-2). What is the greatest common divisor of q and m? 23 Let x be -1 - -1*1 - -23. Suppose -5*s - 128 - 54 = -z, -202 = -z + s. What is the greatest common divisor of z and x? 23 Suppose 11 = 3*z + t, -z - 3*t - 4 - 3 = 0. Let w be (-60)/(-12)*27/z. What is the greatest common factor of 216 and w? 27 Suppose 112*w - 3640 = 98*w. What is the greatest common factor of w and 195? 65 Let s be 4*2*130/20. Calculate the highest common divisor of s and 2132. 52 Let z = 63 - 18. Calculate the highest common divisor of 10 and z. 5 Let i(s) = -s**3 - 6*s**2 + s + 17. Let f be i(-6). Let r = -138 - -237. What is the greatest common factor of r and f? 11 Suppose v - 4*h = 6, -4*v - 4*h + h + 5 = 0. Suppose v*c + 8*f = 9*f + 158, 2*c - 5*f - 150 = 0. What is the greatest common divisor of c and 16? 16 Suppose v + 2*v - 576 = 0. Suppose 10*s + v = 1662. What is the highest common factor of s and 21? 21 Suppose 73 + 95 = 3*l + 3*r, -5*l - r = -276. Calculate the highest common factor of 15 and l. 5 Let n be (-16 - -1)*(-4 - -3). Suppose 2*j + 3*u - n = 0, 2*u = 2*j - u + 3. Suppose 3*z = 30 - j. What is the greatest common divisor of 3 and z? 3 Suppose -3*p = -74 - 22. Let r = 4462 + -4382. Calculate the greatest common divisor of r and p. 16 Suppose -3*w - 60 = -6*w. Suppose 745 = 14*u - 137. Let g be ((-9)/(-3))/(-12) + u/12. Calculate the highest common factor of w and g. 5 Let r = 1230 - 1219. Calculate the greatest common factor of r and 55. 11 Let l be (15/12 - 1) + 2301/156. What is the greatest common divisor of l and 165? 15 Suppose -s + 4*f - 3*f = -124, -f = -4. Let m = 140 - s. What is the highest common factor of m and 36? 12 Suppose 4*r - 243 = -67. Suppose -18*l + 3739 = -2597. What is the greatest common factor of r and l? 44 Suppose 0 = 5*y - 4*g - 0*g - 147, -g - 29 = -y. What is the highest common factor of y and 31? 31 Let n(d) = -7*d**2 + 158*d - 40. Let g be n(20). What is the greatest common factor of 25 and g? 5 Suppose 29*f + 2*r = 31*f - 1172, -1163 = -2*f - r. What is the highest common divisor of f and 53? 53 Suppose -3*y = -0*y - 216. Let q be 40/220 - (-20)/11. Suppose 3*b - 21 = -r, -q*r - 10*b = -13*b - 15. What is the highest common divisor of r and y? 12 Let l = -10 - -14. Suppose -l*m + 0*m = -676. Let q = -105 + m. Calculate the greatest common factor of 16 and q. 16 Suppose 0 = -45*u + 1631 - 11. What is the greatest common factor of u and 666? 18 Let s(l) = -l + 15. Let d be s(5). Let q be (-111 - 0)*(-8)/60*d. What is the greatest common divisor of 37 and q? 37 Let q be (-6)/9 - (-1650)/45. Calculate the highest common divisor of q and 252. 36 Let r be 1/(152/(-52) - -3). Suppose -5*p - r + 0 = -3*x, 4*x = -3*p - 2. Let g be (-57)/(-9) + p/(-3). What is the highest common divisor of g and 49? 7 Let g be (-8)/52 + (-264)/(-26). Suppose 2*a - 13 + 139 = 2*y, 3*a + 2*y + 174 = 0. Let k = 140 + a. What is the greatest common divisor of k and g? 10 Let r = -1597 + 1975. What is the greatest common factor of 7 and r? 7 Let l = -62 + 91. Suppose 3*j = -4*y - 0*j + 1047, 5*j + 778 = 3*y. What is the highest common divisor of l and y? 29 Suppose 2*z - 3*z - i = -22, 5*i - 74 = -3*z. Let m = -243 + 252. What is the highest common factor of m and z? 9 Let p be (4 - 5) + 3 - -125. Let r = p - -27. What is the highest common factor of 22 and r? 22 Let o(c) = 8*c - 214. Let i be o(36). What is the highest common divisor of i and 111? 37 Let r(a) = a**3 - 3*a**2 + 2*a - 6. Suppose 4*c = -b + 13 + 16, -c + 4*b + 20 = 0. Let k be r(c). What is the highest common factor of 30 and k? 30 Suppose 2*y + 10*y = -612. Let h = 67 + y. Calculate the greatest common divisor of 24 and h. 8 Let m(n) = 13*n**2 + 5*n - 2. Let a be m(1). Calculate the highest common divisor of 48 and a. 16 Suppose 0 = 7*m + 46 + 3. Let b = 17 + m. What is the greatest common factor of b and 60? 10 Let g be (42/(-126))/(1/(-480)). What is the greatest common factor of 10 and g? 10 Suppose z = -2*p + 158, 0 = -2*z - 2*z + p + 641. Let q be ((
{ "pile_set_name": "DM Mathematics" }
k(l) be the first derivative of 0*l + 6 + 25/4*l**4 + 0*l**3 - l**2. Find the second derivative of k(i) wrt i. 150*i Let b(c) = c**2 - c. Suppose 0 = f - l, 3*l - 4 = 4*f - 5. Let p(w) = 21*w**2 - 6*w + 19. Let u(a) = f*p(a) - 6*b(a). Differentiate u(j) with respect to j. 30*j Suppose -6 = -p - b, -4*p = 2*b - 13 - 3. Let v be (-2)/(-6) - (-2)/(-6). What is the second derivative of 0*s**2 + s**p - 7*s**2 + 8*s + v*s**2 wrt s? -12 Let l(g) be the second derivative of g**7/21 - 13*g**6/15 + g**3/3 - 14*g**2 - 66*g - 2. What is the second derivative of l(c) wrt c? 40*c**3 - 312*c**2 Let y(p) = 15*p**2 - 19*p + 5. Let x(c) = -7*c**2 + 0 + 29*c - 19*c - c**2 - 2. Let g(l) = -5*x(l) - 2*y(l). What is the second derivative of g(w) wrt w? 20 Let b(y) be the third derivative of 0 + 0*y**6 - 11/336*y**8 + 6*y**2 + 0*y**5 + 0*y**3 - 3/8*y**4 + 0*y + 0*y**7. What is the second derivative of b(g) wrt g? -220*g**3 Let b(f) be the second derivative of -253*f**7/21 - 5*f**4 + 250*f. What is the third derivative of b(v) wrt v? -30360*v**2 Suppose 2*s - 2 - 2 = 0. Find the third derivative of 5*q**s + 87*q - 87*q - q**3 wrt q. -6 What is the first derivative of -169 + 111*b**2 + 46*b**2 - 295 wrt b? 314*b Let n(l) be the third derivative of -31*l**8/336 - 4*l**5/15 + l**3 - 18*l**2. What is the third derivative of n(h) wrt h? -1860*h**2 Let y = -1 - -4. Differentiate 18*g**3 + 9 - 8*g**3 - 10*g**y + 10*g**4 wrt g. 40*g**3 Find the first derivative of -319*h**3 - 391 + 343 + 34*h**3 wrt h. -855*h**2 Suppose 16*v - 12 = 13*v. Let r(d) be the second derivative of -1/4*d**v - 2*d**2 + 0 + 0*d**3 - 4*d. Differentiate r(c) wrt c. -6*c Let t(c) = -83*c**2 + 18*c + 133. Let u(z) = 41*z**2 - 10*z - 67. Let d(w) = -4*t(w) - 7*u(w). Find the first derivative of d(m) wrt m. 90*m - 2 What is the derivative of -101 - 337302*l**3 + 337302*l**3 - 600*l**4 wrt l? -2400*l**3 What is the third derivative of -2*n**4 - 3*n**4 - 114*n**5 + 116*n**5 + 41*n + 2*n**2 wrt n? 120*n**2 - 120*n Let q(p) be the second derivative of 3*p**3/2 - 2*p**2 + 11*p - 1. Let i(h) = h - 1. Let j = 3 + -1. Let c(o) = j*q(o) - 10*i(o). Differentiate c(v) wrt v. 8 Let q(g) be the first derivative of 18/5*g**5 + 6*g**3 + 0*g**2 + 0*g**4 + 4 + 0*g. What is the third derivative of q(u) wrt u? 432*u Let s(p) = 2*p + 0*p - 4 - 8 - 4*p. Let i be s(-8). What is the third derivative of -n**5 + 5*n**5 - 2*n**2 - i*n**5 + 3*n**6 wrt n? 360*n**3 Differentiate 218*g + 161 - 693*g - 147*g + 228 with respect to g. -622 Let b(d) be the second derivative of 2*d - d**2 + 1/2*d**3 + 6 + 7/6*d**4. What is the second derivative of b(v) wrt v? 28 Let d(x) be the first derivative of -57*x**5/5 - x**3 + 517*x - 313. What is the first derivative of d(h) wrt h? -228*h**3 - 6*h Suppose -3*i = 4*m + 99, 3*m - 2*i + 6*i + 76 = 0. Let q = m - -26. Find the third derivative of 6*v**q - 7*v**2 - 4*v**5 - 4*v**5 wrt v. -480*v**2 Let p = -32 - -34. What is the third derivative of -11*m + 11*m + 10*m**4 - m**p - m**4 wrt m? 216*m Let j(y) be the second derivative of 217*y**6/30 - 247*y**4/12 - 103*y. Find the third derivative of j(a) wrt a. 5208*a Suppose t = 9*t - 5008. Find the second derivative of -13 - 2*r - t*r**5 - 6 + 572*r**5 wrt r. -1080*r**3 Suppose 2*t - 3*y = -2*t + 3, t - 6 = -y. Differentiate t*c - 21 + 44 - 10*c**3 - 3*c with respect to c. -30*c**2 Let k(x) = 39*x + 21. Let m(a) = 11 + 14*a + a + 5*a. Let o(h) = -5*k(h) + 9*m(h). Differentiate o(q) wrt q. -15 Let y(h) be the first derivative of 149*h**7/7 - 5*h**3/3 + 23*h - 6. What is the third derivative of y(w) wrt w? 17880*w**3 Let v(r) be the first derivative of -11 + 10/3*r**3 + 4*r + 0*r**2. Differentiate v(p) with respect to p. 20*p Find the third derivative of -296*i**6 + 0*i**3 + 217*i**6 - 205*i - 1008*i**6 + 0*i**3 + i**2 wrt i. -130440*i**3 Let j(p) be the second derivative of p**9/252 - 4*p**5/15 - 9*p**2 - 2*p. Let z(f) be the first derivative of j(f). What is the third derivative of z(l) wrt l? 240*l**3 Let o(g) be the third derivative of 7*g**2 + 0*g + 1/12*g**6 + 0 + 0*g**4 + 0*g**3 - 5/12*g**5. Find the third derivative of o(b) wrt b. 60 Let v = -29 + 33. What is the derivative of v - 2 - 11*m**3 - 4 - 2 wrt m? -33*m**2 Find the first derivative of -15*j**2 + 110 + 305*j - 305*j + 3*j**4 wrt j. 12*j**3 - 30*j Suppose -3*p + 5*n + 4 = -5*p, 2*n = -4*p + 8. Differentiate 3 - 73*x**3 + 10*x**3 + 35*x**p with respect to x. -84*x**2 Let b(h) be the second derivative of -5/2*h**2 - 2/5*h**5 + 0 + 0*h**4 + 3*h + 0*h**3. What is the first derivative of b(k) wrt k? -24*k**2 Let v(i) be the third derivative of 53*i**7/210 + i**6/60 - 86*i**3/3 + 170*i**2 - i. What is the derivative of v(t) wrt t? 212*t**3 + 6*t**2 Find the second derivative of 5*m**3 - 2*m**3 - m - 2*m**2 + 0*m**3 - 9 + 10*m**3 - 5*m wrt m. 78*m - 4 Let a(t) be the second derivative of t**7/280 - 2*t**4/3 + 7*t**3/6 + 24*t. Let x(v) be the second derivative of a(v). Differentiate x(j) with respect to j. 9*j**2 Let m(p) be the second derivative of p**11/13860 + p**7/630 + p**4/3 - p. Let b(r) be the third derivative of m(r). Find the third derivative of b(q) wrt q. 480*q**3 Let l(w) be the second derivative of -95*w**8/56 - 4*w**4/3 - 17*w**2/2 - 52*w - 1. What is the third derivative of l(s) wrt s? -11400*s**3 Let b = 405 - 403. Let w(c) = -c**3 + c + 5. Let i be w(0). Find the second derivative of -5*u**5 + 0*u**i + b*u + 0*u + u**5 wrt u. -80*u**3 Find the third derivative of -240*m**5 - 293*m**2 + 329*m**2 + 19*m**5 - 246*m**5 wrt m. -28020*m**2 Let n(p) be the second derivative of 0 + 13/42*p**7 + 0*p**2 - 7/3*p**3 + 0*p**5 + 0*p**6 - p + 0*p**4. What is the second derivative of n(o) wrt o? 260*o**3 Let q(y) = 208*y + 209. Let u(v) = -208*v - 209. Let i(k) = 7*q(k) + 6*u(k). What is the derivative of i(x) wrt x? 208 Let q(n) = -5*n**2 + n**3 - 19*n - 5 + 0 + 10*n. Let u be q(7). Find the first derivative of 22 + 9*p**4 - u + 17 wrt p. 36*p**3 Let h = 436 - 436. Let u(a) be the second derivative of 0*a**2 + h*a**4 - 6*a - a**3 - 1/15*a**6 + 0 + 0*a**5. Find the second derivative of u(k) wrt k. -24*k**2 What is the third derivative of 587*z**2 + 3*z - 680*z**2 - 24*z**6 - 3*z wrt z? -2880*z**3 Let p = -196 - -196. Let h(o) be the second derivative of -1/6*o**4 + 5/2*o**2 + p + 5*o + 0*o**3. Differentiate h(a) wrt a. -4*a Let v = 2 - -3. Suppose 4*f = -0*f + v*q + 15, 2*f = -4*q + 14. What is the first derivative of -5*c**4 + 3*c**4 + f*c**4 + 3 wrt c? 12*c**3 Let x(g) be the third derivative of 5*g**8/168 - g**7/105 + g**5/30 - 7*g**4/6 - 136*g**2. Find the third derivative of x(a) wrt a. 600*a**2 - 48*a Let z(v) be the second derivative of -5*v**6/3 + 49*v**4/12 + 23*v. Find the third derivative of z(o) wrt o. -1200*o Let a(c) be the first derivative of 121*c**5/5 + 62*c**3 + 115. Find the third derivative of a(i) wrt i. 2904*i Let d(s) be the second derivative of 0 + 17*s + 0*s**2 + 11/12*s**4 + 1/30*s**6 + 0*s**5 + 0*s**3. What is the third derivative of d(v) wrt v? 24*v Let z(p) be the third derivative of p**7/560 - p**6/90 - p**5/4 - 9*p**2. Let w(m) be the third derivative of z(m). What is the first derivative of w(u) wrt u? 9 Find the third derivative of -3*d**2 + 3*d**2 + d**2 + 122*d**4 + 345*d - 39*d**4 wrt d. 1992*d Let f = -37 - -38. Let r(q) = 28*q**3 + 38*q**2 - 12. Let n(x) = x**3 + x**2 - 1. Let c(p) = f*r(p) - 12*n(p). Find the third derivative of c(j) wrt j. 96 Let c(i) = -761*i**2 - 956*i + 3. Let g(s) = 3046*s**2 + 3823*s - 11. Let l(d) = 11*c(d) + 3*g(d). What is the second derivative of l(z) wrt z? 1534 Let o(q) be the second derivative of 363*q**5/20 + 55*q**4/12 - 40*q. What is the third derivative of o(b) wrt b? 2178 Let w(g) = -5*g**4 - 6*g**3 + 6*g**2 + 37. Let x(v) = -2*v**4 + v**3 - v**2 - 1. Let u(h) = -w(h) - 6*x(h). What is the derivative of u(r) wrt r? 68*r**3 Let l(k) be the second derivative of 0 + 0*k**6 - 15*k + 0*k**3 + 0*k**5 + 0*k**7 + 0*k**2 - 1/4*k**8 - 17/12*k**4. Find the third derivative of l(r) wrt r. -1680*r**3 Let h(f) be the first derivative of 237*f**4 - 239*f**3 + 349. What is the third derivative of h(q) wrt q? 5688 Suppose 4*i - 2*z = 10, i = z - 2*z + 10. Find the third derivative of -5*u**2 - i*u**4 - 20*u**5 + 5*u**4 - 14*u**2 wrt u.
{ "pile_set_name": "DM Mathematics" }
ive l(h(x)). -124*x**2 Let t(i) = -2*i. Let b(m) = 290*m + 1. Calculate t(b(w)). -580*w - 2 Let j(z) be the second derivative of -z**5/120 - z**3/6 - z. Let y(x) be the second derivative of j(x). Let o(w) = -2*w. Determine y(o(l)). 2*l Let g(r) = r**2. Let b(l) be the third derivative of l**5/60 - l**2. Calculate b(g(k)). k**4 Let g(b) = b + 3. Let m(q) = -q - 5. Let a(z) = -10*g(z) - 6*m(z). Let n(y) = 4*y**2. Determine n(a(l)). 64*l**2 Let q(n) = 9*n**2. Let t(h) = -956*h**2. Calculate q(t(s)). 8225424*s**4 Let o(b) = -b**2. Let m(c) = 13408*c**2. Determine o(m(x)). -179774464*x**4 Let i(g) = -10*g**2. Let n(d) = 1197*d. What is n(i(q))? -11970*q**2 Let t(v) = 35 - v - 35. Let x(p) = -43*p. Give x(t(m)). 43*m Let h(m) = 2*m**2. Let i(n) = -3*n - 1. Let t be i(-1). Let y(k) = k**2 + 2*k**2 - 3*k**2 + 4*k**t. Give h(y(f)). 32*f**4 Let u(j) = -478*j. Let c(h) = -2*h. Calculate c(u(n)). 956*n Let i(t) = -t. Let f(w) = -88*w + 1. Determine f(i(v)). 88*v + 1 Let i(k) = 2*k**2. Suppose 2 = -l + 2*v - 2, v = 2. Let y(o) be the second derivative of l*o**2 + 1/12*o**4 + 0*o**3 + o + 0. Calculate y(i(z)). 4*z**4 Let w(l) = -l + l + 3*l. Let f(u) = 2*u**2 + 2*u**2 + 7*u - 4 - 3 + 0. Let h(i) = -3*i**2 - 5*i + 5. Let s(x) = 5*f(x) + 7*h(x). Calculate s(w(p)). -9*p**2 Let q(s) = -5*s. Let b(f) = 20*f. What is q(b(a))? -100*a Let l(x) = -2*x. Let y(s) = -13717*s. What is l(y(v))? 27434*v Let q(n) = -3*n**2 + 2*n**2 + 2*n**2. Let w(c) = -12*c**2. Calculate w(q(b)). -12*b**4 Let u(n) = -n + 3. Let q(r) = -3*r + 7. Let s(t) = -3*q(t) + 7*u(t). Let z(w) = w. Determine z(s(m)). 2*m Let s(i) = -2*i - 12 + 12. Let g(y) be the first derivative of -2*y**3/3 - 1. Calculate g(s(c)). -8*c**2 Let v(l) = 5*l**2. Let f(m) = -44*m + 2. Give v(f(d)). 9680*d**2 - 880*d + 20 Let c(s) = 2*s**2 - 8*s. Let r(v) = v. Let k(n) = c(n) + 8*r(n). Let z(y) be the second derivative of 0*y**3 + 0*y**2 + 3*y + 0 - 1/6*y**4. Give k(z(a)). 8*a**4 Let n(f) = 2*f**2. Let x(c) be the third derivative of -c**8/10080 + c**5/15 + 2*c**2. Let d(y) be the third derivative of x(y). Determine n(d(z)). 8*z**4 Let s(f) = 8*f**2 - f. Let q(c) = c**2 - c. Let j(i) = 2*q(i) - 2*s(i). Let n(d) = -2*d**2. What is n(j(k))? -392*k**4 Let l(q) = 8*q + 6. Let c(y) = -8*y - 5. Let s(x) = -6*c(x) - 5*l(x). Let v(k) be the second derivative of -k**4/12 + 2*k. Calculate s(v(w)). -8*w**2 Let c(v) = -v - 4. Let w be c(-6). Let r(z) = 0*z**w + 2*z**2 - 5*z**2. Let a(k) = -4*k + 3*k + 3*k. Calculate a(r(i)). -6*i**2 Let k(y) = -4*y**2. Let r(p) = p**2 - p - 4. Let j be r(3). Let v(u) = -1 + u + 3 - j. Determine v(k(g)). -4*g**2 Let v(h) be the second derivative of h**7/840 - h**4/3 + 3*h. Let i(z) be the third derivative of v(z). Let b(f) = -5*f. Give i(b(j)). 75*j**2 Let r(l) = -16*l + 11. Suppose -2*f + 4*f = -66. Let m(a) = -3*a + 2. Let q(x) = f*m(x) + 6*r(x). Let k(v) = -v. Determine k(q(w)). -3*w Let l(u) = -2*u. Let t = 13 - 7. Let w(a) = -3*a - 3*a + t*a + 4*a. Calculate l(w(k)). -8*k Let b(h) = 17*h. Let r(x) = 5*x**2. Determine b(r(n)). 85*n**2 Let k(x) = x. Let f(g) = 237*g. What is k(f(d))? 237*d Let t(r) = -10*r + 2. Let f(o) = -2*o**2. What is t(f(z))? 20*z**2 + 2 Let n(o) = -2*o**2 + 28*o + 4*o**2 - 28*o. Let b(r) = -30*r. Determine b(n(s)). -60*s**2 Let p(f) = 6*f. Let j(c) be the first derivative of 0*c - 1/2*c**2 + 1. Determine j(p(v)). -6*v Let a(g) be the first derivative of -1/2*g**2 + 7 + 0*g. Let b(d) be the third derivative of -d**4/3 - 2*d**2. Determine a(b(v)). 8*v Suppose -6 = -5*g + 4. Suppose -3*m = -4*m + g. Let z(h) = -12 + 12 - 2*h**m. Let d(k) = -2*k. Determine d(z(u)). 4*u**2 Let g(x) = 5*x**2 + 3*x**2 + 11*x**2 - 15*x**2. Let b(j) = -12*j. Determine b(g(i)). -48*i**2 Let p(z) = 12*z. Let l(b) = -b. Let h(c) = 16*l(c) + p(c). Suppose -3*i = -3, -i + 3 + 6 = 2*f. Let o(v) = -4*v**2 + f*v**2 - v**2. Calculate h(o(q)). 4*q**2 Let j(v) = -4*v - 7. Let o(h) = -2*h - 3. Let z be 29/(-9) - 4/(-18). Let r(s) = z*j(s) + 7*o(s). Let d(f) = 2*f**2 - 1 + 1. Give r(d(l)). -4*l**2 Let g(k) = -2*k**2. Let a(i) = -3*i - 3. Determine a(g(u)). 6*u**2 - 3 Let n(a) = a**2 - 3*a**2 + 0*a**2. Let t(m) be the third derivative of -m**6/240 - m**4/8 - 4*m**2. Let u(v) be the second derivative of t(v). What is n(u(l))? -18*l**2 Let n(g) = 4*g**2. Let t(l) = 40*l**2 + 3. Calculate t(n(x)). 640*x**4 + 3 Let a(n) = 2*n - 55. Let z(q) = -34*q**2 - q. Give a(z(j)). -68*j**2 - 2*j - 55 Let k(c) = 0*c - 2*c - 4*c + 4*c. Let d(z) = 9*z**2. Give k(d(a)). -18*a**2 Let y(f) = -11*f**2. Let t(p) be the first derivative of -p**2 + 5. Determine t(y(h)). 22*h**2 Let n = 25 - 21. Let k(i) = 12*i - 14*i + n*i. Let u(a) = 9*a. Determine k(u(g)). 18*g Suppose -q + 0 + 3 = 0. Let r(h) be the first derivative of 0*h + 0*h**2 + 2/3*h**q - 2. Let f(o) = o. Determine r(f(z)). 2*z**2 Let o(s) = -s**2. Let j(d) = -5*d + 8*d + 10*d. What is o(j(r))? -169*r**2 Let j(q) = -5*q**2. Let b(t) = -114*t**2. Give j(b(g)). -64980*g**4 Let g(s) = 231*s - 3. Let r(b) = -2*b. Give r(g(k)). -462*k + 6 Let q(s) = 124*s + 1. Let c(d) = 3*d. Calculate q(c(w)). 372*w + 1 Let i(h) be the second derivative of 0*h**3 - 1/6*h**4 - 2*h + 0 + 0*h**2. Let l(v) = -2*v. Determine i(l(k)). -8*k**2 Let s(z) = -30*z. Let f(r) = 16*r - 7. Let b(m) = -7*m + 3. Let w(n) = 14*b(n) + 6*f(n). Determine s(w(t)). 60*t Let y(b) = -b**2 - 9*b + 9*b. Suppose -5*p = -5, -10 = -3*n + 3*p - p. Let x(m) = n*m + 0*m - 2*m. Calculate y(x(q)). -4*q**2 Let a(f) = 6*f**2 - 1. Let i(x) = -58*x**2. Give a(i(o)). 20184*o**4 - 1 Let s(f) = f. Let p = -60 - -62. Let b(l) be the first derivative of 4 - 1/2*l**p + 0*l. What is s(b(d))? -d Let h(i) = -7*i. Suppose -6 = -3*q - 0. Let t(k) = 0 - 2*k**q + 0*k**2 + 0. Determine t(h(b)). -98*b**2 Let c(x) be the first derivative of 5*x**3/3 - 10. Let a(o) = 5*o**2. Give a(c(n)). 125*n**4 Let r(m) = -m. Let c(b) = 113*b. What is r(c(l))? -113*l Let x(n) = 11 + n**2 + 4 - 15. Let c(v) = 20*v**2. Determine x(c(g)). 400*g**4 Let v(u) = -2*u**2. Let y = -10 - -14. Let a be 4/4*(y + -1). Let h(o) = -4*o + 4*o + a*o**2. Give h(v(j)). 12*j**4 Let l(t) = -t. Let q(m) = -13*m + 3. Calculate l(q(h)). 13*h - 3 Let j(y) = -70*y - 78*y + 149*y. Let q(r) = 2*r**2 - 10. Determine q(j(m)). 2*m**2 - 10 Let w(t) = 1180*t**2. Let x(z) = 10*z**2. Determine w(x(y)). 118000*y**4 Let l(r) = 2*r**2. Let x(b) be the first derivative of 1 + 0*b - 1/2*b**2. Calculate l(x(i)). 2*i**2 Let g(x) be the third derivative of -x**4/12 - 4*x**2. Let s(o) = -2*o**2. Let j(a) = 2*a**2. Let q(t) = -3*j(t) - 4*s(t). Calculate g(q(b)). -4*b**2 Let m(j) = -1453*j. Let r(k) = 2*k**2. Give r(m(b)). 4222418*b**2 Let k(w) = -796 - 3*w**2 + 796. Let v(i) = 4*i**2. What is v(k(o))? 36*o**4 Let v(g) be the first derivative of -4*g**3/3 - 1. Suppose 0 = 4*u - 2*u - 8. Let w(b) = 9 + b + u - 13. What is v(w(p))? -4*p**2 Let q(b) = -3*b. Let y(i) be the second derivative of i**3 + 6*i. Determine q(y(c)). -18*c Let u(h) = 2*h**2. Let b(m) be the first derivative of m**2/2 + 3*m - 40. Determine b(u(a)). 2*a**2 + 3 Let v(x) = 12*x + 5*x + 26*x + x. Let c(z) = -z**2. Determine v(c(i)). -44*i**2 Let m(b) = -7*b + 6*b + 2*b. Let u(x) = -x. Determine m(u(q)). -q Let t(n) = 2*n. Let k(q) = -137*q. Give t(k(u)). -274*u Let n(s) = -6*s**2 - 14*s. Let p(o) = 2*o**2 + 5*o. Let i(j) = 5*n(j) + 14*p(j). Let x(y) = -7*y**2. Determine x(i(d)). -28*d**4 Let z(y) = 2*y. Let h(v) = -2*v + 12. Let f be h(6). Let m(t) be the third derivative of t**2 + f*t**3 + 0*t + 1/6*t**4 + 0. Calculate z(m(x)). 8*x Let o(u) = u. Let b(g) = -2 + 2 - 10*g + 7*g. What is b(o(i))? -3*i Let h(z) = 7*z**2. Let w(g) = 69*g. What is w(h(k))? 483*k**2 Let i(n) = n**2. Let x(v) = 409*v**2 - v. Determine i(x(c)). 167281*c**4 - 818*c**3 + c**2 Let t(o) = -o. Let b(a) = -a**2 + 5*a - 5. Let d(h) = -3*h + 3. Let g(k) = 3*b(k) + 5*d(k). Give t(g(q)). 3*q**2 Let o(m) be the third derivative of m**6/180 - m**3/6 + 4*m**2. Let g(h) be the first derivative of o(h). Let b(w) = -w + 3*w - 4*w. Give b(g(a)). -4*a**2 Let o(g) = -g. Suppose 3*t - 2 = t - 3*x, 0 = 3*t + x - 10. Let w(a) = -3*a - t*a + 4*a. Calculate o(w(c)). 3*c Let h(p) be the first derivative of -p**2/2 - 1. Let u(q) = -q**3 - 8*q**2. Let d be u(-8). Let n(b) = d*b**2 + b - 2*b**2 -
{ "pile_set_name": "DM Mathematics" }
(-735)/210. Find m such that 1/7*m - q*m**3 + 2/7*m**2 - 2/7 = 0. -1, 1, 2 Let a(f) be the second derivative of -f**6/70 + f**5/105 + f**4/21 - 3*f**2/2 - 4*f. Let d(t) be the first derivative of a(t). Determine v so that d(v) = 0. -2/3, 0, 1 Factor 1032*p + 3687 + 29629 + 33248 + p**2 - 3*p**2 + 6*p**2. 4*(p + 129)**2 Let c = 113 + -111. Factor -c*u + 4*u**2 + u**2 - u - 2*u**2. 3*u*(u - 1) Let r(t) be the first derivative of 10/3*t**3 - 6 + 0*t - 5/2*t**2 - 5/4*t**4. Factor r(i). -5*i*(i - 1)**2 Let -3993/2 - 1089/2*w - 99/2*w**2 - 3/2*w**3 = 0. What is w? -11 Let q(k) be the first derivative of -16/3*k**3 + 28/15*k**5 + 20/3*k - 1/3*k**6 - 7/3*k**2 + 12 + 5/3*k**4. Solve q(l) = 0 for l. -1, 2/3, 1, 5 Let b(q) be the third derivative of q**7/630 - 17*q**6/360 + q**5/4 - 43*q**4/72 + 7*q**3/9 - 201*q**2. Factor b(l). (l - 14)*(l - 1)**3/3 Let g(p) be the third derivative of p**6/60 - 3*p**5/10 + 5*p**4/4 + 25*p**3/3 + 602*p**2. Solve g(l) = 0 for l. -1, 5 Let q(y) be the third derivative of -3*y**8/1120 - y**7/560 + y**6/90 + y**5/60 + 20*y**3/3 + 22*y**2. Let c(j) be the first derivative of q(j). Factor c(o). -o*(o - 1)*(3*o + 2)**2/2 Let i(x) = -x**3 - 6*x**2 + 6*x - 7. Let h be i(-7). Suppose 4*n + h*n = -4*u + 8, -10 = -5*u + 4*n. Factor -1/2 - 1/4*l**3 + 7/4*l + 1/2*l**4 - 3/2*l**u. (l - 1)**2*(l + 2)*(2*l - 1)/4 Let p(i) be the second derivative of i**8/840 - i**7/140 + i**6/90 + 5*i**3/6 + 39*i. Let d(z) be the second derivative of p(z). Solve d(w) = 0. 0, 1, 2 Suppose -2 = 2*l, 202 - 658 = -5*f + l. Find p such that f - 9*p**3 + 6*p**2 + 3*p**4 - 91 = 0. 0, 1, 2 Let y be (-5 - (-369)/63)*(-3)/(45/(-28)). Determine b, given that -98/5*b**2 - y - 56/5*b = 0. -2/7 Let x be (-8)/(-2) + (-6)/(-1 - 1). Suppose -x*d = -9*d + 6. What is s in -2*s**5 + 1/2*s + 3/2*s**d - 5/2*s**4 + 0 + 5/2*s**2 = 0? -1, -1/4, 0, 1 Let q(n) be the second derivative of -3*n**5/80 + n**4/8 - n**3/8 + 3*n - 2. Solve q(s) = 0. 0, 1 Determine v, given that -26244 - 2916*v - 108*v**2 - 4/3*v**3 = 0. -27 Factor 2/9*b**2 - 224/3*b + 6272. 2*(b - 168)**2/9 Factor 0 - 8/3*m**3 + 20/3*m + 14/3*m**2 - 2/3*m**4. -2*m*(m - 2)*(m + 1)*(m + 5)/3 Suppose 2*d - 4 = 5*y, 0 = -4*y - 21*d + 25*d - 8. Factor 9/2*a**4 + 0*a - 33/2*a**3 + y - 6*a**2. 3*a**2*(a - 4)*(3*a + 1)/2 Factor 14/9*w**3 + 74/9*w**2 - 64/9*w - 8/3. 2*(w - 1)*(w + 6)*(7*w + 2)/9 Let l(a) = -77*a**5 + 27*a**4 + 50*a**3 + 7*a**2 - 14*a. Let c(i) = 39*i**5 - 14*i**4 - 25*i**3 - 4*i**2 + 8*i. Let p(q) = 7*c(q) + 4*l(q). Factor p(r). -5*r**3*(r - 1)*(7*r + 5) Let u = 92/3 + -30. Let t(s) = -s**2 + 80*s - 1516. Let j be t(49). Factor 0 + 2/3*y**j + u*y + 4/3*y**2. 2*y*(y + 1)**2/3 Let f(j) be the third derivative of 0*j - 18*j**2 + 0 - 1/300*j**6 + 2/75*j**5 + 2/15*j**3 - 1/12*j**4. What is h in f(h) = 0? 1, 2 Suppose -2*w + 35 = w - r, 4*r = 4*w - 52. Let i be (55/50)/w*6. Factor 0*h**2 - 6/5*h**3 + i*h + 3/5*h**5 + 0*h**4 + 0. 3*h*(h - 1)**2*(h + 1)**2/5 Let g be 65/13*8/10. Let r be (-1)/(g/((-256)/4)). Solve 6*d + 2*d + r*d**2 + 16*d**3 - 2*d - 2*d = 0 for d. -1/2, 0 Let k(l) be the second derivative of 0*l**4 + 0 + 0*l**3 + 0*l**2 + 3/80*l**5 + 1/40*l**6 - 16*l. Factor k(c). 3*c**3*(c + 1)/4 Let p(i) be the first derivative of 3/16*i**4 + 20 + 0*i**2 + 0*i + 1/4*i**3. Factor p(d). 3*d**2*(d + 1)/4 Let n(c) be the third derivative of c**5/450 + 11*c**4/15 + 3*c**2 - 35*c. Factor n(h). 2*h*(h + 132)/15 Let b(f) be the third derivative of 0*f + 0*f**5 - f**2 + 0 + 0*f**3 + 0*f**6 + 0*f**4 + 5/336*f**8 + 1/42*f**7. Solve b(p) = 0. -1, 0 Suppose -2*a + 19*a**3 - 58*a - 43*a**2 - 3*a + 15*a**4 - a**5 - 32 - 2*a - 13*a = 0. Calculate a. -1, 2, 16 Let 5/6*r**2 + 15/2*r + 35/3 = 0. What is r? -7, -2 What is q in -37*q**3 - 19*q**3 + 33*q + 4*q**5 + 48*q**2 - 41 + 19*q - 7 = 0? -4, -1, 1, 3 Let s(j) be the third derivative of -j**7/840 - j**6/60 + j**5/24 + j**4/12 - 3*j**3/8 - 3*j**2 - 267. Factor s(p). -(p - 1)**2*(p + 1)*(p + 9)/4 Let v(j) be the first derivative of 2/9*j**3 - 7/6*j**2 + 1/12*j**4 + 4/3*j - 18. Factor v(r). (r - 1)**2*(r + 4)/3 Suppose 3*l - 6 = -i, 2*i + 21 = l + 4*l. Factor 34*c**2 + 38*c**2 - 3 - 54*c**2 - l*c. 3*(2*c - 1)*(3*c + 1) Let r be 19/(-5) + -51 + 56. Let h = 56/5 + -10. Factor r + h*f**2 + 3*f. 3*(f + 2)*(2*f + 1)/5 Let x(d) be the second derivative of 14*d + 4/21*d**3 + 1/21*d**4 + 2/7*d**2 + 0. Solve x(z) = 0. -1 Let a(s) be the second derivative of 3/4*s**2 + s + 1 + 1/16*s**4 + 3/8*s**3. Factor a(f). 3*(f + 1)*(f + 2)/4 Let h(i) be the first derivative of -9*i**4/2 + 2*i**3/3 + 10*i**2 + 221. Factor h(r). -2*r*(r + 1)*(9*r - 10) Let i be 12 + -5 - (3 - 2 - -3). Factor 3*h**i - 20*h + 35*h - 27*h. 3*h*(h - 2)*(h + 2) Let c(i) be the third derivative of 1/5*i**4 + 43*i**2 + 0*i - 1/75*i**5 + 0*i**3 + 0. Factor c(k). -4*k*(k - 6)/5 Determine y, given that -4*y**2 + 9739 - 22052 - 58320 - 85303 + 1552*y + 5392 = 0. 194 Factor 0 - 1/2*s**3 - 1/2*s + s**2. -s*(s - 1)**2/2 Solve -135*o**4 - 75*o**5 - 253*o**2 + 494*o**2 - 72*o**3 - 253*o**2 = 0 for o. -1, -2/5, 0 Let v = 49 + -40. Let q = v - 7. Suppose 0 + 15/4*j**4 - 3*j**q + 3/4*j**5 - 6*j + 9/2*j**3 = 0. Calculate j. -2, 0, 1 Let t(j) be the first derivative of j**6 + 9*j**5/5 - 9*j**4/4 - 7*j**3 - 9*j**2/2 - 76. Let t(g) = 0. What is g? -1, 0, 3/2 Let n(c) be the second derivative of c**4/9 - 728*c**3/9 + 66248*c**2/3 + 7*c. Factor n(u). 4*(u - 182)**2/3 Let l(n) = -n**2 + 66*n - 464. Let z be l(8). Factor -6/5*r**5 + 0*r**2 + 0*r + z - 8/5*r**4 - 2/5*r**3. -2*r**3*(r + 1)*(3*r + 1)/5 Let k(w) be the second derivative of w**6/90 - 4*w**5/15 + 22*w**4/9 - 32*w**3/3 + 24*w**2 + 137*w. Factor k(d). (d - 6)**2*(d - 2)**2/3 Let c be (-6)/(-4) - (-36)/(-24). Let k(z) be the first derivative of 1/2*z**3 + 5 + c*z + 0*z**2 + 3/8*z**4. Find v such that k(v) = 0. -1, 0 Let k = -51 + 79. Suppose -k*u + 6*u**4 + 4*u**5 + 2*u**4 + 0*u**4 - 32*u**2 + 0*u**5 - 8*u**3 - 8 = 0. What is u? -1, 2 Let u(x) = x**5 + x**4 - 2*x**3 + x**2. Let c(w) = -3*w**3 - 18*w**2 - 6*w. Let y(s) = -c(s) - 3*u(s). What is o in y(o) = 0? -1, 0, 2 Let s(t) = 8*t**2 + 15*t + 7. Let b = -51 - -46. Let d(o) = 7*o**2 + 15*o + 8. Let i(f) = b*s(f) + 4*d(f). Factor i(v). -3*(v + 1)*(4*v + 1) Suppose -22/5*s - 2/5*s**3 - 6/5*s**4 - 12/5 + 42/5*s**2 = 0. What is s? -3, -1/3, 1, 2 Let a(s) be the first derivative of 6*s**2 - 3*s**3 + 1/2*s**4 + 1 - 1/30*s**5 + 0*s. Let n(r) be the second derivative of a(r). Find x such that n(x) = 0. 3 Let m(u) = 20*u**4 + 109*u**3 - 744*u**2 - 4146*u + 1104. Let g(f) = 20*f**4 + 108*f**3 - 743*f**2 - 4147*f + 1108. Let t(a) = -6*g(a) + 7*m(a). Factor t(p). 5*(p - 6)*(p + 6)**2*(4*p - 1) Let b = 68 - 68. Let s(m) be the third derivative of 0 + 0*m**4 - 1/80*m**5 + b*m + 1/160*m**6 - 10*m**2 + 0*m**3. Factor s(u). 3*u**2*(u - 1)/4 Let o(c) be the first derivative of -c**4/3 + 52*c**3/3 - 266*c**2 + 1444*c/3 + 191. Solve o(t) = 0 for t. 1, 19 Suppose -4*m + h = -6*m + 11, 5 = h. Suppose n = -m*r + 11, 0 = r - n - 3*n + 5. Let 2/3*d**r - 2/3*d**2 + 2/3*d**4 + 0 - 2/3*d = 0. Calculate d. -1, 0, 1 Let m(n) = -7*n**3 - 6*n**2. Let a(d) = -16*d**3 - 12*d**2. Let u(g) = 2*a(g) - 5*m(g). Find y, given that u(y) = 0. -2, 0 Let o(n) be the first derivative of n**5/20 + 3*n**4/8 - 5*n**3/12 + 19*n - 9. Let l(a) be the first derivative of o(a). Determine z so that l(z) = 0. -5, 0, 1/2 Let 9/5*h**3 + 3/5*h - 12/5*h**2 + 0 = 0. What is h? 0, 1/3, 1 Let r(c) be the first derivative of -c**8/840 + c**6/180 - 16*c**3/3 + 3. Let x(i) be the third derivative of r(i). Suppose x(l) = 0. Calculate l. -1, 0, 1 Suppose 0 = 5*n + 2*s - 12, -2*n - 5*s + 22 - 13 = 0. Factor 9/5*v - 3/5*v**n - 6/5. -3*(v - 2)*(v - 1)/5 Let 1/4*b**2 + 0 + b = 0. What is b? -4, 0 Suppose 4 = 2*j - 6. Suppose d = j*n - 27, 0*n + 3*n - d = 17. Factor 2*p**5 + 32*p**4 + 69*p**2 + 32 + 112*p + 83*p**2 + 2*p**n + 100*p**3. 4*(p + 1)**2*(p + 2)**3 Suppose -6*t - 7 = -19. Suppose 4*f - t*f = 4. Factor -2/3 + 1/3*r**f + 1/3*r. (r - 1)*(r + 2)/3 Let u(t) be the third derivative of -t**8/112 - t**7/70 + 3*t**6/20 - 36*t**2. Find q such that u(q) = 0. -3, 0, 2 Let f(g) be the third derivative of -g**7/9450 + g**6/1800 + 5*g**4/24 + 15*g**2. Let a(r) be the second derivative of f(r). Factor a(d). -2*d*(2
{ "pile_set_name": "DM Mathematics" }
72? 2948927 What is the next term in 12164, 12660, 13156, 13652, 14148, 14644? 15140 What comes next: -5950, -6061, -6250, -6517, -6862, -7285, -7786? -8365 What is the next term in 1640994, 3281957, 4922920, 6563883, 8204846? 9845809 What is the next term in 151531, 303047, 454559, 606067, 757571? 909071 What is next in -1013876, -2027767, -3041658, -4055549? -5069440 What is next in 3548, 7069, 10570, 14039, 17464, 20833, 24134, 27355? 30484 What is the next term in -26582, -26677, -26766, -26849, -26926, -26997? -27062 What is the next term in -400843, -400838, -400829, -400816, -400799, -400778? -400753 What is the next term in -870345, -3481269, -7832801, -13924935, -21757665? -31330985 What is the next term in -17704, -33361, -49018, -64675, -80332, -95989? -111646 What is next in 579866, 579888, 579922, 579968, 580026? 580096 What is next in -57226, -114610, -171996, -229384? -286774 What is next in -997614, -3990488, -8978612, -15961986? -24940610 What comes next: 2646, 2553, 2290, 1767, 894, -419, -2262? -4725 What comes next: -13499, -14991, -16469, -17927, -19359? -20759 What comes next: -713772, -713806, -713870, -713970, -714112, -714302, -714546? -714850 What is the next term in -3844522, -3844548, -3844574, -3844600, -3844626, -3844652? -3844678 What is next in -37389, -76296, -115205, -154116, -193029, -231944? -270861 What comes next: 2785, 14730, 34637, 62506, 98337? 142130 What is next in 3277, 5830, 6931, 5854, 1873, -5738, -17705, -34754? -57611 What is the next term in 65103, 132645, 200177, 267693, 335187, 402653, 470085, 537477? 604823 What comes next: 72056, 144040, 215952, 287792, 359560, 431256? 502880 What is the next term in -3350, -3406, -3574, -3914, -4486, -5350, -6566? -8194 What is next in 44198, 46050, 47902, 49754, 51606, 53458? 55310 What is the next term in -51389, -51372, -51351, -51326? -51297 What comes next: -962, -1925, -2928, -3971, -5054, -6177, -7340? -8543 What comes next: -35689841, -71379674, -107069507, -142759340? -178449173 What is next in -11155, -45615, -103381, -184453, -288831, -416515? 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-97649 What is the next term in -103250, -103356, -103636, -104174, -105054, -106360, -108176, -110586? -113674 What comes next: -3115, -6643, -10229, -13873, -17575, -21335, -25153? -29029 What is the next term in -19671, -78752, -177223, -315084, -492335, -708976, -965007? -1260428 What comes next: -141332, -141267, -141146, -140963, -140712, -140387? -139982 What is the next term in 99830, 199627, 299332, 398951, 498490, 597955, 697352, 796687? 895966 What comes next: -2031093, -4062076, -6093059, -8124042, -10155025, -12186008? -14216991 What comes next: 22, -355, -1744, -4739, -9934, -17923, -29300, -44659? -64594 What comes next: -328, -599, -890, -1201? -1532 What is the next term in -29580, -29756, -30044, -30438, -30932? -31520 What is next in 1152, 1909, 2672, 3441? 4216 What is the next term in 905120, 905160, 905200? 905240 What is the next term in -1384201, -1384112, -1384023, -1383934, -1383845, -1383756? -1383667 What comes next: -41728401, -41728403, -41728405? -41728407 What is the next term in -39388, -65903, -92418, -118933? 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{ "pile_set_name": "DM Mathematics" }
c**2 - 44 - 5/3*c**3. Find d, given that u(d) = 0. 1, 4 Let z be (708/(-72))/59 + 7/10. Solve 2/15*p**2 - 2/3*p**4 + z + 14/15*p**3 + 2/15*p**5 - 16/15*p = 0 for p. -1, 1, 2 Let y = -8902 + 26959/3. Let l = y - 84. What is j in l*j**3 + 0 - 1/3*j + 1/6*j**2 - 1/6*j**4 = 0? -1, 0, 1, 2 Let m(f) be the first derivative of f**4/4 - 23*f**3/3 + 19*f**2/2 + 66*f + 184. Let k be m(22). Factor -i**2 - 1/3*i**3 + k*i + 0. -i**2*(i + 3)/3 Let u = -96801 + 290459/3. Let -80/3 - 44/15*q**2 + 2/15*q**3 + u*q = 0. Calculate q. 2, 10 Let t(m) = 37*m**2 + 205*m + 69 + 5*m**2 - 100*m. Let f(c) = c**3 - 41*c**2 - 102*c - 68. Let d(w) = -3*f(w) - 4*t(w). What is b in d(b) = 0? -12, -2, -1 Let c(w) be the third derivative of w**5/390 + 3*w**4/4 - 118*w**3/39 - 422*w**2. Find m, given that c(m) = 0. -118, 1 Let b(v) be the first derivative of -v**5/48 - 5*v**4/96 - 25*v**2/2 + 6. Let m(n) be the second derivative of b(n). Factor m(c). -5*c*(c + 1)/4 Let k(j) be the first derivative of 2*j**3 - j**2 + 0*j + 39 + 2/5*j**5 - 3/2*j**4. Let k(d) = 0. Calculate d. 0, 1 Let i = -25 - -13. Let z = i + 14. Factor 4*n**2 - 8*n**3 + 3*n**3 + 11*n**z - n + 21*n. -5*n*(n - 4)*(n + 1) Let v = 8/8953 - -1289032/223825. Let d = v + -983/175. Factor -d + 0*o + 0*o**3 - 1/7*o**4 + 2/7*o**2. -(o - 1)**2*(o + 1)**2/7 Suppose w + 1 = 0, 4*q + 866 + 797 = -3*w. Let g = 417 + q. Find m such that -2/13*m - 2/13 - 2/13*m**4 + 4/13*m**g - 2/13*m**5 + 4/13*m**3 = 0. -1, 1 Let y(r) be the second derivative of -3/4*r**4 + 0*r**2 - r**3 - 11*r + 0 - 3/20*r**5. Factor y(o). -3*o*(o + 1)*(o + 2) Let c be (-3)/15*19/(1292/(-85)). Solve 11/2*o + c*o**4 + 15/4 + 0*o**2 - 3/2*o**3 = 0 for o. -1, 3, 5 Let z = 16116 + -16116. Let p(m) be the third derivative of 1/80*m**6 + 1/60*m**5 + z*m + 0*m**3 + 24*m**2 + 0 - 1/48*m**4. Factor p(i). i*(i + 1)*(3*i - 1)/2 Let x(u) be the first derivative of u**3 + 87*u**2 + 648*u - 760. Solve x(c) = 0. -54, -4 Let g(x) be the third derivative of -x**5/60 + 181*x**4/24 + 91*x**3/3 + 2403*x**2 + x. Factor g(i). -(i - 182)*(i + 1) Let d = 136690 - 136688. Factor 0*j**d - 2/21*j**3 - 4/21 + 2/7*j. -2*(j - 1)**2*(j + 2)/21 Let d = -112 - -128. Factor -f**3 + 8591 - 1323*f + 47*f**2 + d*f**2 + 670. -(f - 21)**3 Let p(u) be the first derivative of u**6/80 + u**5/8 + 3*u**4/8 + 81*u**2/2 - 27. Let w(o) be the second derivative of p(o). Factor w(n). 3*n*(n + 2)*(n + 3)/2 Let o be ((-20)/(-16))/((-210)/(-504)). Let m(i) be the first derivative of 1/9*i**o + 9 + 1/2*i**2 + 0*i. Factor m(a). a*(a + 3)/3 Let o(p) = -23*p**2 + 353*p + 397. Let m(d) = -20*d**2 + 354*d + 388. Let j(l) = 6*m(l) - 4*o(l). Solve j(v) = 0. -1, 185/7 Let b(s) be the first derivative of -7*s**4/4 + 43*s**3/8 - 15*s**2/4 + 184*s - 164. Let c(i) be the first derivative of b(i). What is z in c(z) = 0? 2/7, 5/4 Factor 20/3*m + 2/3*m**2 + 0. 2*m*(m + 10)/3 Let r(u) be the third derivative of -5*u**8/336 - 5*u**7/14 + 37*u**6/12 - 7*u**5/2 - 365*u**4/24 + 95*u**3/2 + 5*u**2 + 116. Solve r(s) = 0 for s. -19, -1, 1, 3 Let p(a) be the first derivative of 7/4*a + 85 + 5/6*a**2 - 1/36*a**3. Factor p(l). -(l - 21)*(l + 1)/12 Let q(w) be the third derivative of -1/630*w**5 + 0*w + 1/28*w**4 + 0 + 85*w**2 - 2/9*w**3. Solve q(i) = 0 for i. 2, 7 Let x(b) be the third derivative of b**5/60 - b**4/3 - 5*b**3/2 - 14*b**2. Let k be x(10). Determine y, given that -3*y**3 - k*y**3 + 15*y**3 - 2*y**3 = 0. 0 Let f(g) be the first derivative of g**6/24 + 31*g**5/20 + 13*g**4 + 146*g**3/3 + 94*g**2 + 92*g + 1874. Let f(x) = 0. Calculate x. -23, -2 Suppose -41418/7*i - 1413/7*i**2 + 10443/7 - 12/7*i**3 = 0. Calculate i. -59, 1/4 Let k(g) = g**3 - 4*g**2 + 12*g + 32. Let a be k(-2). Let y be (4/a)/((-59)/(-32) + -2). Suppose y*h + 0 + 2/5*h**2 = 0. What is h? -4, 0 Suppose 5*j = 99*h - 94*h + 20, h + 4 = -25*j. Let 3*u**3 + j + 0*u**4 + 0*u**2 - 3/2*u - 3/2*u**5 = 0. Calculate u. -1, 0, 1 Let a(r) = r**3 + 26*r**2 - 26*r + 43. Let v be a(-27). Let v*k - k**2 - 12*k - 10*k = 0. What is k? -6, 0 Let g(o) be the third derivative of -o**8/168 - o**7/21 + 5*o**6/4 - 9*o**5/2 - 45*o**4/2 + 216*o**3 + 116*o**2 - 3*o. Factor g(c). -2*(c - 3)**3*(c + 2)*(c + 12) Let d(s) be the second derivative of s**7/4200 - s**6/450 - 7*s**3/6 - 3*s**2/2 - 16*s. Let v(u) be the second derivative of d(u). Factor v(o). o**2*(o - 4)/5 Let o = -726783/2 + 363468. Factor -o*z**2 - 21/2*z**3 - 18 - 84*z. -3*(z + 1)*(z + 6)*(7*z + 2)/2 Factor -35085*p**4 + p**2 - 5*p**5 - 79*p**3 + 35070*p**4 - 6*p**2 + 64*p**3. -5*p**2*(p + 1)**3 Factor 462*h + 57*h**3 + 1/6*h**4 - 694/3 - 1727/6*h**2. (h - 2)**2*(h - 1)*(h + 347)/6 Let g(h) be the second derivative of 0*h**3 - 1/168*h**7 + 1/120*h**6 - 1/4*h**4 - 29 + 1/10*h**5 + 2*h + 0*h**2. Factor g(q). -q**2*(q - 2)**2*(q + 3)/4 Let n(q) be the third derivative of -q**6/90 - 7*q**5/30 - 2*q**4 + 13*q**3/2 - 2*q**2 - 4. Let k(g) be the first derivative of n(g). Let k(o) = 0. Calculate o. -4, -3 Suppose -24*s + 116 = 5*s. Suppose 4*m = 2*m - 4*x - 12, s*m - 5*x - 41 = 0. Determine p so that 1/8*p**m + 0 + 5/8*p**2 + 1/4*p + 1/2*p**3 = 0. -2, -1, 0 Let f(d) = d**3 - 5*d**2 + 2*d - 13. Let g be f(5). Let j(q) = 3*q**3 - 9*q**2 + 15*q - 3. Let r(m) = 2*m**2 + m - 1. Let k(i) = g*r(i) + j(i). Solve k(x) = 0. 0, 1, 4 Suppose 406 - 63 = 739*s - 213*s - 1235. Factor 8/3*u + 0 + 2/3*u**4 - 2*u**s + 0*u**2. 2*u*(u - 2)**2*(u + 1)/3 Let z(q) be the second derivative of 0 - 2888*q**3 - 38*q**4 - 1/5*q**5 - 143*q - 109744*q**2. Factor z(y). -4*(y + 38)**3 Let k = 2/1667885 + 400292/333577. Determine a so that -k*a**3 + 48/5 + 12/5*a**2 - 2/5*a**4 + 56/5*a = 0. -2, 3 Let t(n) be the second derivative of -n**6/70 - 117*n**5/70 - 507*n**4/7 - 8788*n**3/7 + 1346*n. Factor t(i). -3*i*(i + 26)**3/7 Solve 124 - 114/5*a - 2/5*a**2 = 0 for a. -62, 5 Let f be 9 - 25/(20/(-4)). Suppose 18*i = f*i + 8. What is n in -26*n - 5*n**i - 13*n**2 - 4*n**2 - 19 + 15 = 0? -1, -2/11 Let y(h) be the second derivative of -h**7/42 + h**6/6 - 3*h**5/10 - h**4/3 + 4*h**3/3 + 120*h. Let y(f) = 0. What is f? -1, 0, 2 Let r be -40*13/(-650) + 21/(-35). Solve 9/5*a**2 + r*a**4 + 7/5*a**3 - 2 - 7/5*a = 0 for a. -5, -2, -1, 1 Let a(f) be the first derivative of -f**6/2 + 6*f**4 - 6*f**3 - 21*f**2/2 + 18*f + 1445. Determine k so that a(k) = 0. -3, -1, 1, 2 Let o = -90970/21 - -4332. Let r(d) be the second derivative of o*d**7 - 8/15*d**6 + 4*d**2 - 11*d + 2/3*d**4 + 0 + 4/5*d**5 - 10/3*d**3. Solve r(p) = 0 for p. -1, 1, 2 Let z be (-1)/(-5) + (-7557)/10. Let g = 760 + z. Factor 1/2*f**2 - g*f + 4. (f - 8)*(f - 1)/2 Factor -21420*j**3 + 863821*j**2 + 0 - 1685159/2*j - 1/2*j**5 + 179*j**4. -j*(j - 119)**3*(j - 1)/2 Let k(v) = 6*v**3 + 67*v**2 + 126*v - 583. Let s(i) = 3*i**3 + 33*i**2 + 63*i - 291. Let o be (66/55)/((-6)/(-15)). Let c(b) = o*k(b) - 5*s(b). Factor c(g). 3*(g - 2)*(g + 7)**2 Suppose -113*r - 129*r + 968 = 0. Let c(a) be the second derivative of 6*a**2 - 1/3*a**r + 4/3*a**3 - 46*a + 0. Let c(g) = 0. What is g? -1, 3 Factor 0 + 486/17*s**3 + 29282/17*s - 29766/17*s**2 - 2/17*s**4. -2*s*(s - 121)**2*(s - 1)/17 Solve -36504 + 153/2*x**2 + 1/4*x**3 + 5616*x = 0. -156, 6 What is u in 156/7*u**3 + 3/7*u**5 + 36/7*u**4 + 306/7*u**2 + 90/7 + 39*u = 0? -5, -3, -2, -1 Suppose -123 = -37*y + 25. Let x be (-2 - -6 - 0 - y)/4. Find k, given that 9/5*k**3 + 4/5*k**4 + x + 1/10*k**5 - 27/10*k + 0*k**2 = 0. -3, 0, 1 Suppose 15*r = 288 - 93. Suppose -26*z + 39 = -r*z. Factor -6/7*d**2 + 2/7*d**z + 2/7*d**4 - 2/7*d + 4/7. 2*(d - 1)**2*(d + 1)*(d + 2)/7 Let t(b) = 115*b**3 + 35*b**2 - 170*b - 160. Let p(k) = 36*k**3 + 11*k**2 - 53*k - 50. Let j(a) = 35*p(a) - 11*t(a). Factor j(u). -5*(u - 2)*(u + 1)**2 Let t(h) = 180*h**2 - 4836*h + 4980. Let r(q) = 14*q**2 - 373*q + 383. Let u(c) = 27*r(c) - 2*t(c). Solve u(y) = 0. 1, 127/6 Determine x so that 0 + 8/5*x + x**4 - 1/5*x**5 - 6/5*x**3 - 4/5*x**2 = 0. -1, 0, 2 Let j be 2*(11 + (-1 - 5)). Let n be -5 - 889/j*-1*2. Suppose -216/5*b**2 + n*b - 1296/5 + 24/5*b**3 - 1/5*b**4 = 0. Calculate b. 6 Let m = -2649 + 2653. Let i(q) be the first derivative of 4/5*q - 1/10*q**m + 1/5*q**2 - 4/15*q**3 + 24. Factor i(y). -2*(y - 1)*(y + 1)*(y + 2)/5 Let p(h) be the second derivative of 3*h**5/20 - 211*h**4/4 - h**3/2 + 633*h**2/2 - 10955
{ "pile_set_name": "DM Mathematics" }