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at is the biggest value in -4/5, -4, o, -2? o Let w be 0 + (-15)/12 - (-59)/((-68204)/(-1309)). Let q = -47 - -330/7. Let s = -233/6 + 39. What is the smallest value in -1/2, q, s, w? -1/2 Let b = 36.7 - 35.6. Let i = -12.3 - -9.3. What is the biggest value in -9, i, b? b Let r = 4774 - 4774. What is the fifth smallest value in 3, 0.2, r, -5, 191? 191 Let y = 0.9 - 30.9. Let m = -29.84 - y. Suppose -3*z - 12 = k, 2*z + 2*k - 6 = -14. Which is the second smallest value? (a) z (b) m (c) -4/3 c Let k = -5.49 - -5.45. Let f = -33 - -10. Let p = 22.7 + f. What is the smallest value in -5, k, p? -5 Let k be 66/(-825) + 236/450. Let s = -17.4 + 15. Let v = s + 0.4. Which is the second smallest value? (a) 5/3 (b) v (c) k c Let j = -0.1 + -0.2. Let k = 1041/5080 - 5/1016. Which is the biggest value? (a) -4 (b) j (c) k (d) 4 d Let z = -5 + 5.22. Let d = z - 0.42. Let l = d - 0. What is the second smallest value in 0, 4, l? 0 Let m(s) = -s**2 - 2*s - 2. Let v be m(0). What is the second biggest value in 1/5, v, -4/19? -4/19 Let o be (96/58 + -2)/(-23 - -24). Let v = o - -99/203. Let j = -5.4 - -5. What is the second biggest value in 12, v, j? v Let n = -35059 + 35056. Let w = -0.2 - -0.3. Which is the third smallest value? (a) 0.6 (b) 2 (c) w (d) n a Suppose 4*p - 22 = -a, 5*a = p + 17 - 12. What is the second smallest value in -2, -0.05, p, 2? -0.05 Let f = 0.24 - 0.04. Let v = -242.1 + 242.5. Which is the third biggest value? (a) f (b) 3/4 (c) v (d) 2 c Let k = 8886 - 8883. Which is the smallest value? (a) 1.4 (b) k (c) 13 a Let u = 56079 + -56085. Let j = -4.9 + -0.1. What is the third smallest value in 3, u, j? 3 Let l = -12751 - -12758. Which is the smallest value? (a) -2.5 (b) l (c) 2 a Let p = 1189/792 + -1/792. Which is the fourth biggest value? (a) -1.9 (b) p (c) -6 (d) -1 (e) -0.2 a Let p = 0.38 + 0.12. Let m = -110 + 190. Let n = -76 + m. What is the third biggest value in p, n, -0.1? -0.1 Let m be (-6)/15 - (-4)/10. Let j = -112.9 - -112.4. Which is the smallest value? (a) -2 (b) m (c) 4 (d) j a Let r = -178 - -161.7. Let s = -51.8 - r. Let j = s + 36. What is the third smallest value in -3, j, -1? j Let x = 137 + -55. Let t = x - 34. Let q = 51 - t. Which is the third biggest value? (a) -1 (b) 0 (c) q (d) -0.02 d Let r = -7 + 75/11. What is the third biggest value in 1/6, -1, r, -2/169? r Suppose 3*b - 5*j + 17 - 83 = 0, 2*j = b - 21. Suppose -2*f = g - b, -2*f + 52 = 4*g + 10. What is the smallest value in f, -2, -1/3, 1/4? -2 Let v = 3.7 - 30.7. Let o = -28 - v. Let w = 2797/13 - 215. Which is the smallest value? (a) 2/17 (b) w (c) o (d) 5/2 c Let m = -0.343 + 0.079. Let k = m + 0.064. Let d = -0.8 + 0.3. What is the second biggest value in 3, d, -0.1, k? -0.1 Let o = -14.2 - -13.2. Let b = 1583 - 1585. What is the biggest value in -3.7, o, b? o Let i = -0.1 + 2.1. Let s = -0.524 + 0.63. Let m = s + 0.894. What is the fourth biggest value in m, 13, -1, i? -1 Let g = -1.95 - 0.05. Let q be (11920/(-200) - -59)*(8/3)/(-4). Which is the third smallest value? (a) g (b) q (c) 0.11 b Let d = 2/31 + -349/3968. Let g = d - 45/128. What is the biggest value in g, 0.08, 0? 0.08 Let k = 30.349 - -5.651. Which is the smallest value? (a) 2/9 (b) k (c) 0 c Let z = -3470.1 - -3470. What is the biggest value in z, -2/485, 0.1? 0.1 Let q = 88.1 + -83.1. What is the third smallest value in -0.3, 63, q, -1/7, -3? -1/7 Let r = 0.252 + 0.208. Let s = r + 2.54. Which is the second biggest value? (a) 0 (b) 0.3 (c) s b Let f = 13/55 - -113/220. What is the third smallest value in -0.286, 0.1, f? f Let j = -26617/3584 + -1/512. Which is the third biggest value? (a) 1/3 (b) j (c) -11 (d) 0.4 b Let v = 4.95 - -0.05. Let n = -176/53 - -2500/689. What is the biggest value in n, 3/2, v? v Let s = -4.5 - -0.5. Let q be 6*161/(-138)*(-26)/(-91). Which is the fourth biggest value? (a) s (b) -3 (c) 2 (d) q a Let q = 15694 - 15694.3. Which is the smallest value? (a) 13 (b) -85 (c) -4 (d) q (e) -0.4 b Suppose -2*d + 22 = 5*g, 8 = -g - 5*d + 17. Suppose -g*n + 7 = -1. What is the biggest value in -2/5, 15, n? 15 Let l = 477 + -476.88. Suppose 14 + 10 = 12*i. What is the biggest value in i, 8, l? 8 Let t be (11/(-3) - -4)/(9/(-135)). Let h = 15 + -14.9. Which is the second biggest value? (a) h (b) t (c) 2/3 (d) -0.54 a Let n = -198 - -102. Let a = -97 - n. What is the biggest value in a, 0.5, -2/9, 4? 4 Let z = 1.9 + -2. Let n = 402.2 + -12.2. Let c = 381 - n. What is the smallest value in c, z, 2? c Let f = 110.734 + -110.334. Let o = -0.5 + 1.5. Which is the second smallest value? (a) o (b) f (c) -0.2 (d) -5 c Suppose 0 = 3*a + 4*u + 13, -106*u - 7 = a - 102*u. What is the second biggest value in 1/3, 94, 4, a? 4 Let y = 196298/5 - 39260. Let v = 71/5 + -69/5. Which is the third biggest value? (a) y (b) 0.5 (c) v a Let f = 0.21 - 0.06. Let i = -9.15 + f. Let j be (-4)/((-24)/(-21)) - -3. What is the smallest value in 3/7, 3, j, i? i Let q = 8.2888 + -0.2888. Let p = 3 + -23/8. Which is the fourth smallest value? (a) q (b) 3/4 (c) 0.5 (d) p a Let f = 46 - 46.3. Let c = 27.1 + -27. Let h = 0.1 - c. What is the second smallest value in f, h, -2/17? -2/17 Let y(w) = -15*w - 379. Let o be y(-25). Let x be ((-63)/14 - o) + -12. Which is the third biggest value? (a) -3/5 (b) -1/2 (c) x c Let p(x) = x + 13. Let t be p(-9). Suppose 2*n + 475 = -3*n + 470. Let z = -3 - 0. What is the second smallest value in z, t, n, -5? z Let m = -69.8 + 66.26. Let s = m + 3.24. What is the third biggest value in 0, s, -1, 52? s Let p be -73*3 + (-1)/(-3)*(-60)/4. What is the biggest value in p, -0.5, 0.5? 0.5 Let w = 0.624 + -0.324. Let f = 0.046 - -0.054. What is the third smallest value in w, f, -17? w Let y = -0.0311 + -0.0271. Let t = y + 2.8682. Let z = t + 0.19. What is the smallest value in 2/15, -1/17, z? -1/17 Let o = -7 + 9. Suppose 47*i - 90 = 7*i + 70. What is the smallest value in 0.4, 0.6, o, i? 0.4 Let v = 129.74 - 131. Let n = v - -1.16. Which is the smallest value? (a) -0.4 (b) -3/4 (c) -2/9 (d) n b Let o be (-1 + 139/99)*3*-15. Let j = -18 - o. Let y = 11 - 16. What is the smallest value in -0.4, j, y? y Let h = 17/297 + 1954/297. Let y = h + -241/33. Which is the third smallest value? (a) 0.2 (b) -0.053 (c) y a Let l be 30/(-120) - 3/4. Let m be l/(-3) - 0/(-2). Let t = -0.5 + 0. What is the second smallest value in m, 1, 0.1, t? 0.1 Let f = -448 - -457. Let o = -0.055 - 12.545. Let p = 13 + o. Which is the biggest value? (a) p (b) f (c) -2/7 b Let q = 7113/22 - 647/2. Let f = 11 - 11.05. What is the third smallest value in -3, q, f? f Let s = -1851 - -1849. Which is the third biggest value? (a) s (b) 138 (c) -5 c Suppose 4*a - 2*l = -6, -9*a - 13 = -5*a - 3*l. What is the second smallest value in 0.2, -1/12, a, 4? 0.2 Let g = -46 + 48.7. Let d = 1.7 - g. Let m = 0.629 + -0.129. What is the fourth smallest value in 0, d, -3/8, m? m Let g = 0.66 - -163.34. Let x = 164.4 - g. Which is the second biggest value? (a) x (b) 28 (c) -0.5 a Let r = 42 + 39. Let s = -95 + r. Let q be (-5)/s - (-31)/62. What is the third smallest value in q, 4/7, -0.5? q Suppose -5*z + 4*z + 2*t + 19 = 0, -5*t - 64 = -4*z. Let y = 463.7 + -464. What is the second smallest value in z, y, -0.1, -3? y Let u = 4754 + -9515/2. What is the third biggest value in 0.4, u, 1.1, -3/7? -3/7 Let w = 59.333 - 0.133. Let j = w - 59. Suppose t - 2*i - 10 = 0, -2*t - i + 3*i = -10. Which is the fourth smallest value? (a) t (b) j (c) -6/5 (d) 1 d Let u be 72/(-10)*19/(2280/16). Which is the second biggest value? (a) u (b) 2/5 (c) 0.3 c Let n = -54 + 109/2. Let h = -64 - -81. Let z = 20 - h. Which is the fourth smallest value? (a) 0.04 (b) -1 (c) z (d) n c Suppose -d - 4*d = 70. Let k = 19 + d. Let b be 4/14*66/(-132). What is the second smallest value in -0.3, k, b, 2/5? b Suppose 4*x = -x + 20. Let w be (-5988)/(-7984)*(-2)/(-4). What is the second biggest value in -2/7, w, -2/13, x? w Let y be ((-2)/6)/(1/1). Let k = 1310.9622 - -0.0378. Let w = k - 1308. Which is the third smallest value? (a) y (b) 9 (c) w b Let c = -20324 - -20333.7. Let r = 0.01 - 0.41. What is the biggest value in 2, c, r? c Suppose -50*h
{ "pile_set_name": "DM Mathematics" }
= -13. Calculate f(i) - 13*u(i). 13*i Let v = -53 - -52. Let b = 6 - v. Let d(q) = 2434*q + 1 - 2434*q + q**2. Let u(g) = 2*g**2 + 2. Give b*d(j) - 4*u(j). -j**2 - 1 Let v = 5534 + -5526. Let q(n) = -5*n**3 - n**2 - 3*n + 29. Let g(o) = -14*o**3 - 3*o**2 - 8*o + 86. Give v*q(m) - 3*g(m). 2*m**3 + m**2 - 26 Let d(o) = 28*o**2 - 19*o - 24. Let s(u) = u**2 + 3*u + 4. What is d(h) + 6*s(h)? 34*h**2 - h Let n(t) = 15*t**2 - 2. Let s(f) = 25*f**2 + 12*f**2 + 22*f**2 - 74*f**2 + 16*f**2 - 1. Determine n(b) - 2*s(b). 13*b**2 Let q(s) = 815*s + 17. Let i(w) = -9*w - 2. Determine 18*i(k) + 2*q(k). 1468*k - 2 Let d(k) = 2*k**3 - 2*k**2 + 107*k. Let g(w) = -2*w**3 + 3*w**2 - 109*w - 1. Calculate -3*d(t) - 2*g(t). -2*t**3 - 103*t + 2 Let c(a) = 273*a + 195. Let r(n) = 39*n + 27. Give -2*c(s) + 15*r(s). 39*s + 15 Let y = -77 - -528. Let v(h) = 2 - 1 + 451*h - h**3 - y*h. Let m(x) = -4*x**3 - 2*x**2 - x + 5. Calculate 2*m(n) - 10*v(n). 2*n**3 - 4*n**2 - 2*n Let v(s) be the second derivative of -19*s**5/20 - 4*s**3/3 + s**2/2 - 65*s + 70. Let i(b) = 6*b**3 + 3*b. What is 8*i(y) + 3*v(y)? -9*y**3 + 3 Let a = -9 - -5. Let x(j) be the third derivative of -j**6/15 - 2*j**3/3 - 11*j**2 + j - 212. Let l(v) = 25*v**3 + 11. Give a*l(h) - 11*x(h). -12*h**3 Let n(z) = 3*z + 2090. Let t(o) = 3*o + 2098. Determine -5*n(b) + 6*t(b). 3*b + 2138 Let t(i) = -29*i + 4. Let m(y) be the first derivative of -29*y**2 + 9*y - 1953. Determine -4*m(a) + 9*t(a). -29*a Let u(w) = -2*w**3 + w**2 - w - 1. Let c be (3/51*-2)/(28994/646 - 45). Let p(q) = -5*q**3 - 1 + 4*q**3 - q + 0*q + q**2. What is c*p(z) - u(z)? z**3 Let t(y) = 9*y + 1. Let a(r) = 542*r + 7. What is -a(f) + 5*t(f)? -497*f - 2 Let j(h) = 9*h**2 + 50*h - 7. Let p(d) = -31*d**2 - 199*d + 26. What is -11*j(y) - 3*p(y)? -6*y**2 + 47*y - 1 Let z be (-2)/7 + (-4)/(140/(-255)). Let n be 19/(-133) - -11*2/z. Let y = n - 28. Let g(c) = 20*c. Let s(w) = -w. Give y*s(h) - g(h). 5*h Let z(x) = -25*x + 3. Let r(y) = -1010*y + 117. Let l(b) = -b + 2. Let m(t) = -4*l(t) - 2*r(t). Determine 6*m(j) + 484*z(j). 44*j Let x(s) = -3087*s**3 + 42*s**2 + 30. Let z(y) = -3*y**2 - 2. What is x(i) + 14*z(i)? -3087*i**3 + 2 Let m(o) = -2*o + 11. Let u(g) = 5*g + 1889 - 3757 + 1836. Determine -8*m(z) - 3*u(z). z + 8 Let k(i) = 23*i**2 - 116*i**2 - 1 + 31*i**2 + 29*i**2 - 7*i. Let z(d) = -11*d**2 - 2*d. Determine -2*k(o) + 7*z(o). -11*o**2 + 2 Let v be ((-5)/2)/((-460)/184). Let h(w) = w - 23. Let k(d) = -1. What is v*h(t) - 5*k(t)? t - 18 Let u(b) = b**2. Let r(s) = -31 + 56 - 8*s**2 + 0*s**2 - 6*s - 25. Calculate -2*r(z) - 18*u(z). -2*z**2 + 12*z Let q(i) = 22*i**2 - 5*i - 2. Let b(w) = 44*w**2 - 9*w - 3. Let z be (0 - 3) + (39/(-26))/((-3)/20). Determine z*q(f) - 4*b(f). -22*f**2 + f - 2 Let z(o) = 15*o + 2667. Let s(n) = 3*n + 527. Calculate -21*s(d) + 4*z(d). -3*d - 399 Let t(i) = 5*i**3 - i**2 + 3*i + 5. Let h(u) = 4*u**3 + 4 - 188*u - 204*u + 394*u. Calculate 3*h(f) - 2*t(f). 2*f**3 + 2*f**2 + 2 Let r(k) = k**2 - k + 1. Let w(p) = -16*p**3 + 7*p**2 - 7*p + 7. Let j be 2/(-2) - (1/6 - 155/(-186)). Give j*w(u) + 14*r(u). 32*u**3 Let p(a) = 3*a + 10. Suppose 5 + 24 = -64*q - 35. Let i(h) = h + 1. What is q*p(l) + 6*i(l)? 3*l - 4 Let o(h) = 43*h**2 + 13*h + 7. Let z(g) be the first derivative of 7*g**3 + 3*g**2 + 3*g - 227. Give -4*o(v) + 9*z(v). 17*v**2 + 2*v - 1 Let w(k) = -6*k - 5. Let b be (-41 + 39)*(-3)/(-2). Let d(v) = -13*v - 9. Determine b*d(t) + 7*w(t). -3*t - 8 Let i(a) be the second derivative of -a**5/10 - 4*a**4 + 5*a**3/6 + a**2/2 - 6399*a. Let z(m) = -3*m**3 - 72*m**2 + 8*m + 2. What is -8*i(j) + 5*z(j)? j**3 + 24*j**2 + 2 Let i be (-1 - 0)/(-4 - -3). Let s(f) = 3*f + 16. Let c(w) = -w. Give i*s(v) + 5*c(v). -2*v + 16 Let t(j) = -j**2 + 6*j - 9. Let n be t(4). Let g(b) = b**3 + 1. Let x(s) = 0*s**3 - 2 + 571379*s**2 - 571379*s**2 + 3*s**3. What is n*x(d) - 2*g(d)? -5*d**3 Let v(i) = -i**3 + 292*i**2 - 5*i + 6. Let l(z) = -3*z**2 - z + 2. Give -3*l(b) + v(b). -b**3 + 301*b**2 - 2*b Let a(w) = -10*w - 24 - 23 + 47. Let u(m) = -5*m - 3. Let s(i) = -10*i - 5. Let o(v) = -3*s(v) + 5*u(v). What is 3*a(p) + 5*o(p)? -5*p Let m(z) = -850*z**2 - 6*z + 20. Let a(o) = -849*o**2 - 5*o + 16. Give -5*a(i) + 4*m(i). 845*i**2 + i Let v(y) = -2*y**2 + 22. Let l(b) = 38*b**2 - b + 181. Calculate -l(u) + 6*v(u). -50*u**2 + u - 49 Suppose 4*d - 5*x - 1 = 0, -d - 5*x + 16 = 22. Let a(w) = w**3 - w**2 + 2*w + 6. Let y(r) = r**2 - 1. Give d*y(u) - a(u). -u**3 - 2*u - 5 Let c(r) = 33*r - 5. Let x(q) = 98*q - 14. Let p(s) = -27*s**3 + 2511*s**2 + s - 98. Let h be p(93). Give h*x(z) + 14*c(z). -28*z Suppose 0 = -5*a + 4*c + 6, 9*c - 13*c = 16. Let g(b) = 6*b - 3. Let k(x) = x - 1. Determine a*k(i) + g(i). 4*i - 1 Let x(r) = 5*r**3 - 11*r**2 - 26*r - 5. Let i(g) = -3*g**3 + 7*g**2 + 17*g + 3. Give 22*i(n) + 14*x(n). 4*n**3 + 10*n - 4 Let l(j) = -92*j**2 + 28*j + 6. Let v(o) = -836*o**2 + 253*o + 55. Give -55*l(a) + 6*v(a). 44*a**2 - 22*a Let d(g) = -9*g**3 + 33*g**2 - 21*g + 21. Suppose 64 = 19*o - 11*o. Let n(v) = o*v**2 + 47*v**3 - 5*v + 5 + 44*v**3 - 93*v**3. Determine -5*d(p) + 21*n(p). 3*p**3 + 3*p**2 Let c(d) = 3*d**2 + 4*d + 3. Let t = -76 + 71. Suppose -4*a + 5*v - 6*v - 17 = 0, 4*v + 11 = 3*a. Let b(x) = -2*x**2 - 2*x - 2. Determine a*c(w) + t*b(w). w**2 - 2*w + 1 Let d(c) = -2*c - 725. Let b(g) = 8*g + 2162. Give 3*b(j) + 10*d(j). 4*j - 764 Let q(c) = 28*c**3 + 21*c + 10. Let x(s) = 15*s**3 + 10*s + 4. Calculate -2*q(h) + 5*x(h). 19*h**3 + 8*h Let n(w) be the second derivative of w**3 - 5*w**2/2 + 3*w. Let t = 0 - 1. Let u(a) = 62*a + 1236. Let c be u(-20). Let h(j) = -j + 1. Give c*h(o) + t*n(o). -2*o + 1 Let d(z) = z + 11. Let a(w) = -25*w**2 - 4*w - 43. Determine -a(k) - 4*d(k). 25*k**2 - 1 Let h(g) = -3*g - 7. Let a(z) = z + 1. Let t be (-1 - 1)/(-2) - 1. Suppose t = -4*m - 2*i - 5 + 15, 4*m + 3*i = 5. Let f = -4247 - -4248. Give f*h(c) + m*a(c). 2*c - 2 Let k(h) = 67*h**3 + 2396*h. Let y(f) = -20*f**3 - 799*f. Determine 3*k(u) + 10*y(u). u**3 - 802*u Let y(z) = -z**3 + 2*z**2 + 1. Let t(u) = 2*u**3 - 3*u**2 - 2. Let l = -5 + 352. Suppose l*g - 348*g = 3. What is g*t(d) - 7*y(d)? d**3 - 5*d**2 - 1 Let c(g) = -86*g**2 + 87*g + 52. Let z(u) = -19*u**2 + 22*u + 13. What is 2*c(k) - 9*z(k)? -k**2 - 24*k - 13 Let s(d) = -4. Let l(f) = 3701*f + 11. Determine l(g) + 3*s(g). 3701*g - 1 Let i(m) = -106*m**3 + 16*m**2 - 16*m + 16. Let a(d) = 309*d + 293. Let o be a(-1). Let n(u) = 21*u**3 - 3*u**2 + 3*u - 3. What is o*n(l) - 3*i(l)? -18*l**3 Let d(h) = 3*h**2 - 5*h + 4. Let k(f) = -f**3 + 3*f**2 - 6*f + 4. Determine 2*d(s) - 3*k(s). 3*s**3 - 3*s**2 + 8*s - 4 Let q(v) = 19*v + 3. Let c(g) = g**3 - 27*g**2 - 326*g + 75. Let o be c(36). Let h(m) = 18*m + 2. Give o*h(x) - 2*q(x). 16*x Let b(d) = -27*d**2 + 4*d + 2. Let q(y) = -9*y - 6049*y**2 + 3040*y**2 - 4 + 3064*y**2. Determine 9*b(i) + 4*q(i). -23*i**2 + 2 Let y(l) = -5*l - 3. Let c(p) = -11*p. Let i(m) = 32*m - 1. Let b(o) = 3*c(o) + i(o). Determine 2*b(s) - y(s). 3*s + 1 Let y(g) be the second derivative of -g**5/5 - g**4/4 + 4*g**3/3 - 3*g**2/2 - 271*g - 1. Let r(p) = -p**3 - p**2 + p - 1. Give -6*r(c) + 2*y(c). -2*c**3 + 10*c Let h(c) = 397684*c**2 + 784*c + 784. Let p(t) = 2533*t**2 + 5*t + 5. Determine 5*h(u) - 784*p(u). 2548*u**2 Let u(c) = -c**3 + 11*c + 4 + 10*c - c**3 + 12*c + 4*c**3 - 38*c. Let s be -10*1*1/2. Let q(f) = f - 1. Calculate s*q(m) - u(m). -2*m**3 + 1 Let q(t) = -t**3 + t**2 - t. Let i(w) = -2*w**3 + 7*w**2 + 6*w + 4. Let c(r) = -5*r**3 + 16*r**2 + 13*r + 8. Let a(s) = -4*c(s) + 9*i(s). What is -a(o) - q(o)? -o**3 - o - 4 Let s(u) be the second derivative of 5/6*u**3 + 0*u**2 + 0 - 30*u. Let l(h) = 13*h + 3. Let f(n) = n + 1. Let o(j) = 4*f(j) - l(j). Determine 3*o(y) + 5*s(y). -2*y + 3 Let j(c) = 232*c + 149. Let q(w) = -231*w - 119. Calculate 4*j(u) + 5*q(u). -227*u + 1 Let d(c) be the first derivative of 2*c**2 + 9*c - 1. Suppose 6*l = 55 - 7. Let w(n) = -11 - 2 - n - l + 18. What is 2*d(u) + 7*w(u)? u - 3 Let k(t) = 9*t + 340. Let p(q) = 12*q + 341. Determine 7*k(r) - 6*p(r). -9*r + 334 Let h(g) be the third derivative of g**5/30 - g**3/6 + 3*g**2 + 31*g - 12. Let q(v) be the second derivative of v**3/6 + v**2/2 + v. Determine -h(d) + q(d). -2*d**2 + d + 2 Let t(f) = 22*
{ "pile_set_name": "DM Mathematics" }
9952 What comes next: -756, -548, -340? -132 What is the next term in -7648, -30891, -69622, -123835, -193524, -278683, -379306, -495387? -626920 What is next in -221, -897, -2031, -3623, -5673, -8181? -11147 What is the next term in -1096, -853, -612, -367, -112, 159? 452 What comes next: -959, -1843, -2703, -3539? -4351 What is next in -712, -2847, -6436, -11503, -18072, -26167, -35812, -47031? -59848 What is the next term in 82, 175, 448, 991, 1894, 3247, 5140? 7663 What is the next term in 177, 527, 877, 1227, 1577? 1927 What comes next: -151, -287, -441, -625, -851, -1131, -1477? -1901 What is the next term in -239, -644, -1051, -1460, -1871, -2284, -2699? -3116 What comes next: 337, 453, 545, 619, 681, 737, 793, 855? 929 What is next in 13179, 26379, 39579, 52779? 65979 What comes next: -618402, -618400, -618398, -618396, -618394, -618392? -618390 What is next in 46, -26, -98, -170, -242, -314? -386 What comes next: -3, 109, 221, 333, 445? 557 What is next in -554644, -554639, -554634, -554629? -554624 What is the next term in 242042, 242033, 242012, 241973, 241910, 241817, 241688, 241517? 241298 What comes next: 377, 1647, 3761, 6719, 10521, 15167, 20657? 26991 What is the next term in -1144, -2345, -3556, -4777, -6008, -7249? -8500 What comes next: 2035, 1874, 1607, 1234, 755, 170, -521? -1318 What is next in -6146, -6129, -6100, -6059, -6006? -5941 What is next in 379, 472, 591, 742, 931, 1164, 1447? 1786 What is next in 145, 126, 89, 28, -63, -190, -359? -576 What is the next term in -861, -1661, -2459, -3261, -4073? -4901 What is next in 1360, 2679, 3998? 5317 What is the next term in -136, -283, -466, -691, -964? -1291 What is the next term in 69267, 69271, 69283, 69303, 69331, 69367? 69411 What is the next term in -20, -132, -328, -608, -972, -1420? -1952 What is next in -1052, -1057, -1064, -1067, -1060, -1037? -992 What is the next term in -56125, -56128, -56131, -56134, -56137? -56140 What comes next: -2444, -9496, -21250, -37706? -58864 What is next in -828, -904, -980, -1056? -1132 What comes next: -11558, -11698, -11838, -11978, -12118? -12258 What is the next term in 521, 1811, 3871, 6701? 10301 What is the next term in -79, -242, -489, -814, -1211, -1674, -2197, -2774? -3399 What is next in 224, 533, 1372, 3005, 5696, 9709, 15308? 22757 What comes next: -1602, -1674, -1744, -1812, -1878? -1942 What is next in -888, -1766, -2644, -3522, -4400, -5278? -6156 What is next in 2776, 5533, 8290? 11047 What is the next term in 135, 416, 723, 1068, 1463, 1920? 2451 What comes next: 51271, 102551, 153831? 205111 What is next in -8845, -35400, -79659, -141622, -221289, -318660? -433735 What is next in 30147, 120787, 271853, 483345, 755263? 1087607 What comes next: 796892, 1593783, 2390674, 3187565, 3984456? 4781347 What is the next term in -149728, -149730, -149736, -149746, -149760? -149778 What is the next term in 4188, 4196, 4218, 4260, 4328? 4428 What is next in -17273, -17272, -17269, -17264, -17257, -17248? -17237 What comes next: -123, -155, -213, -297, -407, -543, -705? -893 What is next in 21169, 21153, 21127, 21091? 21045 What is the next term in -1504234, -3008467, -4512700, -6016933, -7521166, -9025399? -10529632 What is the next term in -1631, -1669, -1705, -1739, -1771? -1801 What comes next: 250, 535, 820, 1105, 1390, 1675? 1960 What comes next: -7475, -14950, -22425, -29900, -37375, -44850? -52325 What is the next term in -3938095, -3938094, -3938093, -3938092, -3938091? -3938090 What comes next: -16000, -16337, -16676, -17017, -17360? -17705 What comes next: -3570251, -3570250, -3570249? -3570248 What is next in -466, -405, -344, -283, -222, -161? -100 What is the next term in 30, 60, 90, 120? 150 What is the next term in 503, 4741, 16441, 39335, 77155? 133633 What comes next: 7428, 7514, 7600? 7686 What comes next: -726187, -726185, -726183, -726181, -726179? -726177 What is next in -80, -119, -158, -197, -236, -275? -314 What comes next: 1454, 2880, 4308, 5738, 7170, 8604, 10040? 11478 What is next in -441, -1523, -2603, -3681, -4757, -5831, -6903? -7973 What is the next term in 404, 1350, 2296, 3242, 4188? 5134 What is the next term in -242, -452, -660, -866? -1070 What is next in -32, -224, -570, -1082, -1772? -2652 What is next in 17638, 17614, 17574, 17518, 17446, 17358, 17254? 17134 What is next in -39361, -78690, -118033, -157396, -196785, -236206? -275665 What is the next term in -295, -134, 135, 512, 997, 1590? 2291 What is next in -111256, -222510, -333762, -445012, -556260? -667506 What is next in -26590, -53179, -79772, -106369, -132970, -159575, -186184? -212797 What is the next term in 97741, 97736, 97729, 97720, 97709? 97696 What is next in -64629, -64636, -64655, -64692, -64753? -64844 What is the next term in -5817, -11594, -17329, -23016, -28649, -34222, -39729, -45164? -50521 What is next in 53, -26, -147, -310, -515? -762 What is the next term in -82, -199, -368, -613, -958, -1427? -2044 What is the next term in 544, 4341, 14658, 34759, 67908, 117369, 186406? 278283 What is the next term in 19451, 19485, 19519, 19553? 19587 What is next in -10416, -20080, -29744? -39408 What is next in -183, -186, -201, -234, -291, -378, -501, -666? -879 What is next in -2, 115, 272, 469? 706 What is next in -167, -398, -675, -998, -1367? -1782 What is the next term in 206, 447, 700, 965, 1242, 1531, 1832? 2145 What comes next: 42, 284, 900, 2076, 3998? 6852 What comes next: 904, 937, 980, 1039, 1120, 1229? 1372 What is the next term in -5446, -5443, -5452, -5479, -5530, -5611, -5728, -5887? -6094 What comes next: -1235, -2487, -3753, -5033? -6327 What is the next term in 1194950, 1194952, 1194954, 1194956, 1194958, 1194960? 1194962 What comes next: -202347, -202353, -202371, -202407, -202467? -202557 What is next in 161957, 161964, 161971, 161978, 161985? 161992 What is the next term in -307, -1060, -2319, -4084, -6355, -9132? -12415 What is next in 2117, 4270, 6423, 8576? 10729 What comes next: 14609, 14622, 14635, 14648, 14661, 14674? 14687 What comes next: -2050072, -2050083, -2050108, -2050153, -2050224, -2050327, -2050468, -2050653? -2050888 What is the next term in -33098, -66161, -99210, -132239, -165242? -198213 What is next in -263469, -263473, -263479, -263487? -263497 What comes next: 552, 2427, 6014, 11691, 19836, 30827, 45042, 62859? 84656 What comes next: 9451, 9362, 9273, 9184, 9095? 9006 What is next in 2234, 2226, 2202, 2162, 2106, 2034, 1946? 1842 What is next in -288, -423, -648, -963, -1368, -1863, -2448? -3123 What comes next: -110842, -221685, -332528, -443371, -554214? -665057 What is next in -170, -463, -894, -1475, -2218? -3135 What comes next: -2171, -2203, -2297, -2483, -2791? -3251 What is next in 13971, 13917, 13827, 13701, 13539, 13341, 13107? 12837 What is next in -427, -406, -371, -322, -259? -182 What comes next: -177, -406, -635, -864, -1093? -1322 What is the next term in -117, -22, 73, 168, 263, 358? 453 What is the next term in 709, 639, 539, 409, 249, 59, -161? -411 What comes next: 1338, 2723, 4106, 5487? 6866 What comes next: -63, -76, -89, -102, -115? -128 What comes next: -155, -521, -1537, -3533, -6839, -11785, -18701, -27917? -39763 What is the next term in -219849, -219855, -219873, -219909, -219969? -220059 What is the next term in 18, 75, 132, 189, 246? 303 What is the next term in -30, 22, 74? 126 What is next in -79, -616, -1511, -2764, -4375, -6344, -8671? -11356 What is next in -87, -762, -2577, -6102, -11907? -20562 What comes next: 3536, 14151, 31842, 56609, 88452, 127371, 173366? 226437 What comes next: -13037, -13028, -13017, -13004, -12989? -12972 What is the next term in 203, 312, 447, 614, 819? 1068 What is next in 2810057, 11240232, 25290523, 44960930, 70251453? 101162092 What is next in 37422, 37425, 37428, 37431, 37434? 37437 What comes next: -333, -316, -285, -234, -157? -48 What is the next term in 1249, 1389, 1527, 1663, 1797, 1929? 2059 What is the next term in 475444, 950890, 1426336, 1901782, 2377228, 2852674? 3328120 What is next in -1404, -2639, -3888, -5157, -6452? -7779 What is the next term in -1155, -2386, -3693, -5076, -6535, -8070? -9681 What is next in 66190, 132386, 198582, 264778, 330974, 397170? 463366 What is next in -608, -1526
{ "pile_set_name": "DM Mathematics" }
, -29248, -29258? -29268 What comes next: 24, 43, 86, 165, 292, 479, 738, 1081? 1520 What comes next: -989, -1108, -1227, -1346, -1465? -1584 What comes next: -17042, -34051, -51032, -67973, -84862, -101687, -118436, -135097? -151658 What is the next term in -803, 279, 2089, 4633, 7917? 11947 What is next in 3642, 3643, 3644, 3645? 3646 What is next in 359, 1614, 3705, 6632, 10395? 14994 What is the next term in -277063, -554128, -831193, -1108258? -1385323 What comes next: 142647, 285296, 427945, 570594, 713243, 855892? 998541 What comes next: 1827, 1692, 1471, 1164, 771? 292 What comes next: -682, -677, -670, -661, -650? -637 What comes next: -140, -157, -206, -305, -472? -725 What is the next term in -4063, -8141, -12233, -16345, -20483, -24653, -28861? -33113 What is the next term in -18184, -18212, -18278, -18400, -18596, -18884, -19282? -19808 What is next in -1183, -1151, -1107, -1051, -983, -903? -811 What is the next term in 15, 4, -91, -276, -557, -940, -1431? -2036 What comes next: 3148, 6319, 9490? 12661 What is next in -20911, -20880, -20797, -20638, -20379, -19996, -19465? -18762 What is the next term in -12, 57, 238, 531? 936 What is next in 3460, 3440, 3420, 3400, 3380? 3360 What is the next term in -168, -626, -1392, -2466, -3848? -5538 What is the next term in -288, -271, -248, -219, -184, -143, -96? -43 What comes next: 5658, 5625, 5588, 5547? 5502 What comes next: -1517560, -3035120, -4552680? -6070240 What is next in -3094, -2880, -2666? -2452 What is next in -538, -4231, -14280, -33871, -66190, -114423, -181756? -271375 What is next in -4464, -8815, -13166, -17517? -21868 What comes next: 343, 368, 393, 418, 443, 468? 493 What comes next: 41181, 41186, 41191, 41196, 41201, 41206? 41211 What is next in 73712, 147425, 221130, 294821, 368492? 442137 What is next in 357, 444, 583, 774, 1017? 1312 What is next in 4285, 8564, 12843, 17122? 21401 What is next in -36, -77, -130, -195, -272? -361 What comes next: 113192, 452761, 1018710, 1811039, 2829748? 4074837 What is next in 18226, 18272, 18318, 18364, 18410, 18456? 18502 What is next in -49921, -99798, -149673, -199546, -249417? -299286 What is the next term in -306971, -307030, -307137, -307298, -307519, -307806, -308165, -308602? -309123 What is next in 795, 805, 841, 915, 1039? 1225 What is the next term in 268, 247, 220, 187? 148 What is next in -1705, -1613, -1509, -1393, -1265? -1125 What comes next: 345, 305, 167, -117, -595? -1315 What is the next term in -7857, -7875, -7893, -7911, -7929, -7947? -7965 What is the next term in 58078, 464591, 1567982, 3716689, 7259150, 12543803? 19919086 What is the next term in 681, 388, -393, -1908, -4403, -8124, -13317, -20228? -29103 What comes next: 215, 424, 633, 842, 1051? 1260 What is next in -245463, -490925, -736385, -981843, -1227299, -1472753, -1718205? -1963655 What is the next term in -11446, -22893, -34336, -45775, -57210, -68641? -80068 What comes next: 36106, 36084, 36056, 36022, 35982, 35936, 35884? 35826 What is the next term in 13489, 26967, 40437, 53899, 67353, 80799, 94237? 107667 What is next in -362, -195, -28? 139 What is next in 109, 98, 49, -56, -235, -506, -887? -1396 What is the next term in -2041, -2043, -2049, -2059, -2073, -2091? -2113 What is next in -201, -173, -87, 87, 379, 819, 1437? 2263 What is next in -316, -538, -760, -982, -1204, -1426? -1648 What comes next: 557, 908, 1273, 1658, 2069, 2512, 2993, 3518? 4093 What is the next term in -287, -452, -615, -776, -935, -1092, -1247? -1400 What is the next term in 3930, 7933, 11936? 15939 What is the next term in -1169, -9488, -32059, -76004, -148445, -256504, -407303, -607964? -865609 What is next in -195, -382, -571, -774, -1003, -1270, -1587, -1966? -2419 What is the next term in -2413, -4817, -7215, -9607, -11993, -14373? -16747 What is next in -1175, -2965, -5369, -8393, -12043, -16325, -21245, -26809? -33023 What is the next term in -272, -371, -468, -563, -656, -747? -836 What is next in -58632, -58633, -58634, -58635, -58636, -58637? -58638 What comes next: -113897, -227795, -341693, -455591? -569489 What comes next: 32, 61, 102, 155, 220, 297? 386 What is next in 493, 972, 1445, 1912, 2373? 2828 What is next in -10705, -10635, -10513, -10339, -10113, -9835, -9505? -9123 What is the next term in 681941, 681942, 681943, 681944? 681945 What is next in 2317, 9568, 21755, 38878, 60937? 87932 What is next in 1131, 2277, 3419, 4551, 5667, 6761, 7827, 8859? 9851 What comes next: -152136, -304267, -456386, -608487, -760564? -912611 What is next in 133, 1290, 4425, 10528, 20589, 35598, 56545? 84420 What is next in -7396, -7390, -7382, -7372, -7360? -7346 What is next in 99890, 99889, 99886, 99881? 99874 What is next in 138, -1663, -6548, -16059, -31738, -55127? -87768 What is next in -199, -417, -631, -841, -1047, -1249, -1447? -1641 What comes next: 168, 1447, 4910, 11649, 22756? 39323 What is next in 268, 218, 168, 118, 68, 18? -32 What comes next: 180, 679, 2030, 4659, 8992, 15455? 24474 What is the next term in -113202, -226388, -339574? -452760 What is the next term in 51, 593, 1495, 2757? 4379 What is the next term in 43240, 43248, 43256, 43264? 43272 What is next in -101842, -203659, -305476, -407293, -509110, -610927? -712744 What comes next: -978, -3407, -7274, -12567, -19274, -27383, -36882? -47759 What is the next term in 3490, 3599, 3708, 3817, 3926, 4035? 4144 What comes next: -90, -195, -328, -489, -678, -895? -1140 What is next in 20232, 20193, 20154, 20115, 20076? 20037 What comes next: -45570, -45574, -45570, -45552, -45514, -45450? -45354 What is next in -42, 175, 536, 1041? 1690 What is the next term in -8918, -9024, -9130, -9236? -9342 What comes next: -206071, -206070, -206069, -206068, -206067, -206066? -206065 What is the next term in 361, 727, 1093, 1459? 1825 What is next in -41, -32, 45, 196, 427, 744, 1153? 1660 What comes next: -1058404, -1058406, -1058408, -1058410? -1058412 What is next in 23381, 23382, 23383? 23384 What comes next: 172, 215, 260, 307, 356, 407, 460? 515 What comes next: -5512456, -5512455, -5512454, -5512453? -5512452 What is the next term in -297, -342, -417, -522? -657 What is next in 2775608, 2775606, 2775604, 2775602? 2775600 What comes next: -463, -1765, -3937, -6979, -10891, -15673, -21325? -27847 What is the next term in 629, 1308, 2143, 3212, 4593, 6364, 8603? 11388 What is next in -15, -251, -899, -2169, -4271, -7415, -11811? -17669 What comes next: 93312, 186624, 279938, 373254, 466572, 559892? 653214 What comes next: 2101, 4202, 6311, 8434, 10577, 12746, 14947, 17186? 19469 What is next in -2214, -2215, -2218, -2223, -2230, -2239, -2250? -2263 What is next in 149738, 299474, 449210, 598946? 748682 What is next in -68404, -68402, -68400, -68398? -68396 What is the next term in 14, 45, 96, 173, 282, 429, 620? 861 What comes next: 99, 986, 3441, 8250, 16199, 28074? 44661 What is next in -1183, -4750, -10693, -19012, -29707? -42778 What comes next: 103, 150, 117, -26, -309, -762, -1415, -2298? -3441 What is next in 1457, 1433, 1391, 1331, 1253, 1157? 1043 What is the next term in -28073, -28079, -28097, -28133, -28193? -28283 What is the next term in -245147, -245160, -245173, -245186, -245199? -245212 What is next in -71, -204, -427, -740, -1143, -1636, -2219? -2892 What is next in -483836, -967683, -1451532, -1935383, -2419236, -2903091? -3386948 What comes next: -22574, -45145, -67716, -90287? -112858 What comes next: -585, -750, -1203, -2088, -3549, -5730? -8775 What is next in -423, -765, -1075, -1335, -1527, -1633, -1635, -1515? -1255 What comes next: -437, -1662, -3667, -6446, -9993? -14302 What is next in 711, 1419, 2121, 2817, 3507? 4191 What comes next: 482944, 482946, 482948, 482950, 482952, 482954? 482956 What is the next term in 1343, 1990, 2641, 3296, 3955, 4618? 5285 What is next in -278645, -278643, -278637, -278627, -278613, -278595? -278573 What is the next term in 458, 910, 1362, 1814? 2266 What comes next: -670, -575, -482, -391? -302 What is the next term in -552, -489, -390, -255? -84 What is the next term in -118, -235, -356, -481? -610 What is next in -522, -1874, -4124, -7266, -11294? -16202 What is next in 856192, 1712380, 2568568? 3424756 What comes next: -50, -297, -
{ "pile_set_name": "DM Mathematics" }
easing order. n, j, -0.2 Let t = 58/423 + 4/47. Sort 1/6, t, 2, -1/7. -1/7, 1/6, t, 2 Let r(i) = -i - 4. Let q be r(-6). Let j = -3299 + 3298. Put 4, q, j in descending order. 4, q, j Let g = 1642.3 + -1642. Sort g, 1, -15. -15, g, 1 Let v = 1 + 0. Let g be (-31 + 32)*(-12)/(-3). Sort -1, v, 0, g. -1, 0, v, g Let j = 638.2 + -733. Let v = j + 95. Put -4, v, 3 in decreasing order. 3, v, -4 Let a = 31801/5 - 6360. Let y be (-841)/(-330) + (-2)/(-6). Let w = -27/10 + y. Put w, -2/7, a in ascending order. -2/7, w, a Let w be (-2*(-2)/(-4))/3. Put -3/2, w, -2/13, -1 in decreasing order. -2/13, w, -1, -3/2 Suppose 80 = -142*g + 132*g. Put 1, g, 12 in increasing order. g, 1, 12 Let t(z) be the first derivative of z**4/4 + 8*z**3/3 + 5*z**2/2 - 9*z - 3. Let w be t(-7). Let p = 7 + -8. Sort -2, p, w in descending order. w, p, -2 Let r = 6765 + -6766. Suppose 0 = -0*m + 2*m + 16. Let f be 0/(4/(-1 + 3)). Sort m, f, r in ascending order. m, r, f Let q be (2/25)/((-114)/30 + 4). Sort 1/8, 3, q in ascending order. 1/8, q, 3 Let n be (0 + -3)*1 - -31. Suppose -17*c - n = -10*c. Sort 0, c, 3, -2. c, -2, 0, 3 Let t = 8944/21 + -426. Sort t, 1/4, -15, -0.1. -15, -0.1, t, 1/4 Let v be 1/(-3)*2*(-22 + 16). Let b(k) = k**2 + 6*k + 1. Let u be b(-7). Put u, v, -4 in ascending order. -4, v, u Let z = 279.8 + -247. Let i = 33 - z. Let f = -1.02 + 1. Put f, 2/3, i in decreasing order. 2/3, i, f Let y = -0.291 + 0.091. Sort 1/2, 4/5, y, 2/13 in descending order. 4/5, 1/2, 2/13, y Let o = 43 - 39. Let a(q) = -q**2 + 6*q - 7. Let j be a(5). Sort o, j, -3 in descending order. o, j, -3 Let y(t) = 20 - 12 + t - 5*t - 11. Let b be y(-3). Let r be b/2 + (-4)/8. Sort 2, 0.2, r in decreasing order. r, 2, 0.2 Let z(n) = n**3 - n**2 - n - 2. Let d be z(2). Let b(m) = m**3 - 4*m**2 - 3*m + 10. Let u be 1 - 1/(2 - 14/6). Let h be b(u). Put d, 3, h in ascending order. h, d, 3 Let b be (-2)/13 + 1107/351. Let p = -12 + 13. Sort -6, b, -2, p in descending order. b, p, -2, -6 Suppose -4*v - 3 = -y, 2 = -5*v - 26*y + 29*y. Put v, 2, 5 in decreasing order. 5, 2, v Let r(y) = -y**2 + 6*y - 5. Let v be r(4). Suppose 0 = -v*m - 9 + 21. Put 2/7, m, -2 in ascending order. -2, 2/7, m Suppose -60 = 3*n - n. Suppose -10 - 25 = 7*t - 2*m, -3*t = m + 2. Sort 2, t, 1, n in ascending order. n, t, 1, 2 Let j(u) = u**3 + 3*u**2 + 8*u + 20. Let b = 63 - 66. Let m be j(b). Suppose -v - 12 = 3*x - 4, 3*x - 3*v = 0. Put 0, m, x in descending order. 0, x, m Let m = -26 - -23. Let x be (1 - 11 - -1) + 4. Sort 3, m, x in descending order. 3, m, x Let z = -3/7 - -2/21. Let d = 5.12 + -0.12. Sort d, 2, z. z, 2, d Let b = -30 + 25.4. Let c = b + 3.6. Put 2, c, 4/5 in decreasing order. 2, 4/5, c Let s(k) = k**2 - 20*k + 108. Let c be s(10). Put -1, 4, 11, c in increasing order. -1, 4, c, 11 Let o = -341 - -336. Put -7, -3/5, o, -0.3 in increasing order. -7, o, -3/5, -0.3 Let k(i) = -14*i + 136. Let u be k(10). Sort 32, -0.2, u in ascending order. u, -0.2, 32 Let g = 333 - 324. Put g, 0, 4, -5 in increasing order. -5, 0, 4, g Let j be (11/((-11)/10))/2. Let p be (52/(-20) - 9/(-15))/j. Let q = -0.7 + -3.3. Sort p, -0.8, q in ascending order. q, -0.8, p Let x = 50 - 45. Sort x, -105, 1 in descending order. x, 1, -105 Suppose 145 = 2*k - 5*d, -5*k = 3*d - 273 - 12. Sort -5, -3, k. -5, -3, k Let c = -7 - 2. Let p = c + 4. Let o = 17.1 + -17. Sort p, -4, o in decreasing order. o, -4, p Suppose -10 = -5*j - 5*l, -3*j - 3*l = -2*l + 4. Sort -5/4, 2, j, 5 in descending order. 5, 2, -5/4, j Suppose 49*o = 7*o. Sort o, -4, 2. -4, o, 2 Let k(r) = -r**2 - 22*r - 113. Let p be k(-12). Sort 1/9, 5, p in increasing order. 1/9, 5, p Let c = -148 - -158. Sort 0.1, -2, c. -2, 0.1, c Let f = -505.8 - -506. Put -0.3, -3, 0, f in decreasing order. f, 0, -0.3, -3 Let t(l) = -l**3 + 17*l**2 - l + 15. Let y be t(17). Let h = 29 - -7. Let j be ((-54)/h)/((-3)/8). Sort 3, j, y in descending order. j, 3, y Let l(o) be the first derivative of -o**4/4 - 2*o**3 + 4*o**2 + 8*o + 1. Let f be l(-7). Sort f, -7, -2 in decreasing order. f, -2, -7 Let l = -18 - -28. Let f = l + -10.1. Put 0.7, f, -2 in ascending order. -2, f, 0.7 Let p(u) = u**3 + 4*u**2 - 13*u - 12. Let v be p(-6). Let s be (-2)/(-1*(-1 - -2)). Put 1, s, v in decreasing order. s, 1, v Let c be 2/3*150/(-10). Let k = c - -40. Suppose -2*z + 3*z + k = 5*y, -z + 5 = 2*y. Put -1, y, 0 in decreasing order. y, 0, -1 Let u be (18/4)/(27/18). Let p be 1/4 - (-17)/(-4). Sort u, 0.1, p in descending order. u, 0.1, p Suppose 0 = 4*x - 7*x + 6. Suppose 3*k = x*k - 6. Let a be -1*2*15/k. Put -4, a, 0 in ascending order. -4, 0, a Let o = 90/11 + -393/44. Let b = -6 + 10. Put o, b, -0.01 in decreasing order. b, -0.01, o Suppose 0 = -9*h - 261 + 225. Sort 111, 4, h. h, 4, 111 Let g(m) = -2*m - 1. Let a be g(-2). Let u = a - 7. Let r(h) = -4*h + 26. Let t be r(7). Put t, u, 0.2 in descending order. 0.2, t, u Let d(c) = 2*c**2 - 11*c + 35. Let l(u) = -u**2 + 6*u - 17. Let x(z) = -2*d(z) - 5*l(z). Let s be x(5). Let i = 4 - 8. Sort i, s, 2 in decreasing order. 2, s, i Let j(v) = -7*v - 94. Let n be j(-14). Put -3, 0, n, -4 in descending order. n, 0, -3, -4 Let l = -1.98 + -0.02. Let a = 0 + l. Let x = 3 + -3.5. Sort x, a, 1. a, x, 1 Let d = 28 + -33. Let y be (-9)/18*(-1 + -1). Sort -7, d, y, 3. -7, d, y, 3 Let z = -3.5 + 0.5. Let m = -21.38 - -0.38. Let y = 25 + m. Put z, y, -2/5 in decreasing order. y, -2/5, z Let n = -875 + 875. Let h = 5 - 10. Put h, 16, 3, n in decreasing order. 16, 3, n, h Let r(a) = 4*a**2 - a + 1. Let j be r(1). Let m be j/(-5)*5/(-2). Let n(o) = -o**2 + 2*o + 2. Let h be n(3). Put 1, h, m in decreasing order. m, 1, h Let l = 396.59 - 396. Put 0.1, -3/5, l, -3 in increasing order. -3, -3/5, 0.1, l Let n be (4/(-14))/(3/(-42)). Suppose 1 + n = 5*d. Suppose 16 = 2*f + 3*q + 2*q, 5*f = q - 14. Sort 0, f, d in decreasing order. d, 0, f Let m be (10/4)/(1/2). Let c = 1 + -13. Let h be -3*((-40)/c)/m. Sort -1, h, 2/9 in ascending order. h, -1, 2/9 Let q = 95/3 + -32. Let v be (-4)/(-3)*(-39)/(-13). Let y = -39 + 38. Put q, v, y in decreasing order. v, q, y Let q = 3/920 + -1897/17480. Put 1, 7, q, 4/5 in ascending order. q, 4/5, 1, 7 Let b(o) = o**3 - 11*o**2 + 11*o - 14. Let r be b(10). Suppose 0 = 4*l - l + 3. Sort r, 0, 3, l in descending order. 3, 0, l, r Let u = 0.11 - -3.89. Let g = 1111050 + -21105259/19. Let b = -247 + g. Put u, b, -0.5 in increasing order. -0.5, b, u Suppose -6*u + 2*u - 480 = 0. Let w = u + 116. Sort w, 0, -7 in ascending order. -7, w, 0 Let m = 328 + -327. Sort m, 0.3, 19. 0.3, m, 19 Let d(i) be the second derivative of i**4/12 + i**3 - 15*i**2/2 + 2*i. Let g be d(-7). Put -1, 5, g in increasing order. g, -1, 5 Suppose 127*w = 122*w. Sort w, 1, 8. w, 1, 8 Let c = 5915/6 + -985. Sort -2/15, c, 4 in ascending order. -2/15, c, 4 Let m(r) = 2*r**3 + 37*r**2 + 18*r + 12. Let k be m(-18). Sort -3, k, -4 in descending order. k, -3, -4 Let m be (-3)/(-14)*(-8)/3. Let s be -6*(-1)/(-3) - (-11)/5. Sort -2/21, s, m in increasing order. m, -2/21, s Let b(g) = -g + 3. Let s be b(-5). Suppose w = -4*h - 3, -4*w + 10 = s*h - 3*h. Let f = -5 + 5. Sort f, -5, h in descending order. f, h, -5 Suppose 0 = 27*n + 14 + 13. Put 4, n, -2, -4 in increasing order. -4, -2, n, 4 Let i be 4/(-18) - (-704)/(-72). Let b be -3 + ((-4)/i)/((-2)/(-10)). Sort 1, 3, b, 4 in increasing order. b, 1, 3, 4 Let u = 5 + -10. Let r = u + 4. Let o = 5.1 + -1.1. Sort -6, r, o in descending order. o, r, -6 Let y = -14 + 13. Let b = -6.9 + 12.9. Sort -5, b, y in ascending order. -5, y, b Let b = -129 - -135. Sort -6, b, -3 in decreasing order. b, -3, -6 Suppose 5*y = -0*q - 3*q - 3, q - 7 = y. Suppose -5*d = -1 - q. Put d, -1, 7 in decreasing order. 7, d, -1 Let u = -1 - 0. Let v = 1 + u. Let h be (-5 + 2)/(24/15 - 1). Sort v, 5, h in increasing order. h, v, 5 Let y(m) = m**2 + 50*m - 100. Let k be y(2). Sort -42, -2, k. -42, -2, k Let q = 73 - 70. Sort -2, 1, -1, q in descending order. q, 1, -1, -2 Suppose 51*f = 29*f + 2926. Put 5, 0, f in ascending order. 0, 5, f Let v be 6*(-2)/6 - -8. Put 5, -3, v in increasing order. -3, 5, v Let y(n) = 2*n**2 + 13*n + 18. Let g be y(-7). Suppose -g = -2*p - 31. Put -1, 2, p, 3 in decreasing order. 3, 2, -1, p Let v = -168 + 169. Put 5, -16/9, v in desc
{ "pile_set_name": "DM Mathematics" }
base 11. -32a720 -12225322 (base 6) to base 3 -201221112112 Convert -1022001221221 (base 3) to base 9. -1261857 b7b2 (base 14) to base 16 7be0 Convert -52552522 (base 6) to base 5. -343221403 5824a9 (base 12) to base 3 2122211221010 What is -5a675 (base 11) in base 5? -10243243 89aa (base 14) to base 8 56472 Convert -112021101001202 (base 3) to base 14. -1016468 What is -100111000101100111 (base 2) in base 14? -424bd What is -1959b2 (base 12) in base 16? -6cc56 -21006 (base 10) to base 9 -31730 What is 2104424 (base 6) in base 11? 6a79a What is -9473b4 (base 12) in base 15? -311d31 -14320031 (base 5) to base 15 -2ec46 4102114 (base 6) to base 3 100220022201 ca00 (base 13) to base 8 66626 What is -11576 (base 12) in base 6? -255430 What is 808460 (base 9) in base 7? 4032225 10aca9 (base 13) to base 6 12250410 Convert -6a249 (base 13) to base 16. -2f4c7 1001010101101011 (base 2) to base 7 216343 -101544516 (base 8) to base 11 -97a3133 -1907d (base 15) to base 14 -217c2 What is -15010305 (base 6) in base 10? -514625 Convert -9b24 (base 15) to base 4. -20001310 What is -11540443 (base 8) in base 12? -a2596b 1020021210012 (base 3) to base 8 2377556 What is -7a10a7 (base 16) in base 2? -11110100001000010100111 Convert -33966b (base 13) to base 11. -763a2a What is -329967 (base 10) in base 8? -1204357 What is -1112100202112 (base 3) in base 16? -c6c26 -141361 (base 8) to base 14 -14289 What is -18354 (base 16) in base 8? -301524 Convert 431416 (base 10) to base 5. 102301131 1616631 (base 8) to base 2 1110001110110011001 100101110100000010101011 (base 2) to base 10 9912491 670891 (base 12) to base 2 110010000001111101101 1010001110111101110 (base 2) to base 13 b9837 Convert 47251 (base 12) to base 3. 11211211221 Convert -416219 (base 10) to base 9. -703845 Convert 54065 (base 14) to base 7. 1504155 -100321312 (base 4) to base 7 -405601 -3127112 (base 8) to base 16 -cae4a What is -320103 (base 8) in base 14? -2ab99 11614 (base 12) to base 7 125026 Convert -a575de (base 15) to base 3. -112210221010102 111220022001 (base 3) to base 9 456261 What is -2222112102 (base 3) in base 9? -88472 What is 72532 (base 10) in base 9? 120441 What is -157a97 (base 13) in base 8? -2015533 What is -224113 (base 6) in base 15? -59a3 61123 (base 10) to base 14 183bd -1d1ba (base 16) to base 6 -2315550 Convert -3b13d (base 14) to base 3. -21101211200 What is 2710667 (base 11) in base 9? 8731776 Convert 1101111100100001000010 (base 2) to base 11. 2077686 What is 3311321302 (base 5) in base 14? d3a73d What is 1162526 (base 9) in base 16? 9a3bf -1323240034 (base 5) to base 14 -62c0d8 -b830bb (base 12) to base 15 -3c6b12 What is -1222312010 (base 4) in base 15? -89a0b What is 246260 (base 8) in base 12? 41354 What is 11144 (base 9) in base 5? 214121 Convert 33bb78 (base 13) to base 2. 100101011001111010111 What is 1352223 (base 7) in base 5? 21242001 What is 2010212122101 (base 3) in base 5? 242423132 2154573 (base 10) to base 13 5a58c5 Convert -113131 (base 8) to base 15. -b60e Convert -41411210 (base 5) to base 13. -bc53b What is 2201201 (base 5) in base 14? da32 What is -204110043 (base 5) in base 14? -180c15 -480464 (base 10) to base 5 -110333324 Convert -1010100100010010000 (base 2) to base 4. -1110202100 What is -10100101100011111 (base 2) in base 9? -138245 What is -1667b (base 12) in base 5? -2011223 144080 (base 9) to base 2 10101100011011001 What is -14862 (base 16) in base 11? -58184 554424 (base 6) to base 5 2441014 What is -425464 (base 7) in base 9? -122437 Convert -751747 (base 8) to base 4. -331033213 What is -48658b (base 13) in base 6? -101011030 222201102220 (base 3) to base 12 214436 6987 (base 11) to base 16 23d2 Convert 13044265 (base 7) to base 5. 301000421 What is -564b5 (base 14) in base 9? -348323 What is 1320301332 (base 4) in base 10? 494718 -100111220210 (base 3) to base 6 -4003033 What is -2252521 (base 6) in base 9? -186064 What is -2101049 (base 11) in base 15? -4d2e22 What is -246316 (base 7) in base 13? -178b1 -454987 (base 11) to base 10 -723917 11100111001000011111 (base 2) to base 10 946719 Convert 138071 (base 9) to base 14. 22bac 400314 (base 6) to base 10 31222 What is 1001001111111010111010 (base 2) in base 6? 123544322 Convert -11001000011110001 (base 2) to base 10. -102641 Convert 86581 (base 11) to base 2. 11110101101110000 121102021111101 (base 3) to base 11 4a1a279 What is 11100001002120 (base 3) in base 12? 9311b9 What is 12111002000220 (base 3) in base 14? 55c234 What is 1a54a7 (base 16) in base 12? 6b2747 500761 (base 14) to base 11 157851a Convert 134482 (base 10) to base 7. 1100035 Convert 2182020 (base 12) to base 4. 120120012120 Convert 5522253 (base 6) to base 8. 1031531 What is -252035 (base 6) in base 15? -69e2 Convert 446465 (base 7) to base 4. 103110131 Convert -14700226 (base 9) to base 3. -111210000020220 What is -1a1499 (base 12) in base 13? -13098c -a4c496 (base 14) to base 3 -101110202202211 Convert 361700 (base 9) to base 11. 139709 What is 6601a9 (base 11) in base 14? 1d637a -245ce (base 16) to base 7 -1160143 What is 15235565 (base 7) in base 6? 51102152 Convert 22240422 (base 5) to base 4. 233330022 What is 10024012444 (base 5) in base 11? 5700183 -25603325 (base 8) to base 14 -a866c5 What is 103112013 (base 4) in base 11? 54596 1313032321 (base 4) to base 11 303a1a -13037 (base 13) to base 11 -24499 535660 (base 9) to base 2 1001101111010001001 141824 (base 9) to base 8 251244 203129 (base 10) to base 2 110001100101111001 What is 451399 (base 10) in base 6? 13401451 Convert -11645 (base 9) to base 5. -222232 What is -661736 (base 8) in base 10? -222174 What is -386b50 (base 13) in base 7? -14352435 -1305048 (base 9) to base 10 -712277 -24400245 (base 6) to base 7 -6416231 14345303 (base 6) to base 9 835663 Convert 1010002253 (base 6) to base 5. 10122430134 What is -4232022 (base 5) in base 2? -10001010011100111 What is 203235135 (base 6) in base 4? 31123110203 Convert 1402234 (base 5) to base 9. 43014 Convert -1000010000100100011 (base 2) to base 14. -708a7 22212433 (base 5) to base 9 326121 1023214312 (base 5) to base 2 1000010000001111111011 Convert 20220332022 (base 4) to base 11. 1307784 What is -e109 (base 16) in base 14? -16dcd What is -31322022 (base 4) in base 15? -11d30 What is 223023232 (base 4) in base 9? 288561 202012220012 (base 3) to base 11 251aa0 3233220011 (base 4) to base 12 3b4005 Convert -3200302 (base 6) to base 12. -76092 Convert -cc9760 (base 13) to base 12. -1744b2a What is -8a300 (base 12) in base 9? -308760 What is 1303105 (base 7) in base 4? 221103001 213540 (base 9) to base 12 617b3 -a53d49 (base 16) to base 10 -10829129 What is 8a6e8 (base 15) in base 3? 211101000002 What is -2571336 (base 9) in base 11? -87a707 Convert 124170 (base 12) to base 16. 489e4 Convert 11321322000 (base 4) to base 2. 101111001111010000000 What is -123967 (base 10) in base 13? -4456c 3b75a (base 13) to base 3 12122102010 What is 11000000110000100110 (base 2) in base 8? 3006046 What is 5a8894 (base 13) in base 12? 882798 What is 30322302310 (base 4) in base 3? 20101001110201 -6153b (base 14) to base 7 -1664004 What is -202467 (base 9) in base 2? -11101010010000101 Convert -4444200 (base 6) to base 9. -371050 Convert 13523462 (base 7) to base 3. 2101100102222 Convert 75b25a (base 16) to base 7. 122363650 Convert 133435 (base 6) to base 11. 9415 Convert -77564 (base 8) to base 3. -1122202110 -ac91e3 (base 15) to base 10 -8232063 What is -2403505 (base 13) in base 9? -22867671 17ab1 (base 12) to base 8 103145 Convert 3430424102 (base 5) to base 16. 750aff What is 10001000110111100001011 (base 2) in base 5? 2122004000 Convert -2760670 (base 10) to base 15. -397e9a -101001111011111111011110 (base 2) to base 15 -e7258a -100001000101010100001 (base 2) to base 12 -443429 -429905 (base 10) to base 6 -13114145 -870877 (base 13) to base 16 -306589 677241 (base 11) to base 12 4400a5 -134692 (base 12) to base 11 -1a8683 402bd (base 15) to base 11 129682 -2791216 (base 11) to base 4 -102110303332 Convert -110103321230 (base 4) to base 12. -19492b8 What is 1531345 (base 7) in base 13? 74416 What is dc2a (base 16) in base 5? 3300422 16216617 (base 8) to base 13 a10983 Convert -3670b (base 15) to base 16. -2a68f Convert
{ "pile_set_name": "DM Mathematics" }
value? (a) -2/9 (b) 14 (c) -5 (d) -0.5 (e) -706 (f) -0.08 (g) -6 b Which is the sixth biggest value? (a) 0 (b) 2/9 (c) 0.4 (d) -2/13 (e) -4/5 (f) 96.377 e What is the fourth biggest value in 5, 12, -28/3, 11/10? -28/3 Which is the fourth smallest value? (a) -0.37 (b) 3 (c) 2.6 (d) -3 (e) -0.1 c What is the biggest value in 1/517593, 2.66, -0.4? 2.66 What is the biggest value in 0.739, 2/49, 11, -0.1, 4, 2/5, 20? 20 What is the third smallest value in 2524, -16/5, 70? 2524 Which is the third smallest value? (a) 221 (b) 70 (c) 394 (d) 3 a What is the fourth biggest value in -7, -8, 3.1811, 0? -8 Which is the smallest value? (a) -2228595 (b) 2/5 (c) 0 (d) 1/6 a Which is the second smallest value? (a) -3169 (b) -1.105 (c) -15 (d) 0 c Which is the sixth biggest value? (a) 4 (b) 1456 (c) -2/3 (d) 0.1 (e) 0.12 (f) 2.3 c What is the sixth biggest value in 1, -14, -0.4, -1, -2/245, -0.8? -14 Which is the third smallest value? (a) 0 (b) 1/11 (c) -27831628 b Which is the smallest value? (a) -32 (b) 8 (c) 0 (d) 1 (e) -1/5 (f) 27 a What is the fourth biggest value in 4, -0.4, 1/2, -17609, -0.3? -0.4 What is the second biggest value in -12, -46, -7/6? -12 What is the biggest value in -327, -241085, 0.4? 0.4 What is the second biggest value in -18, -1/6, 46.61? -1/6 What is the biggest value in 2890/7, -8276, -2/17? 2890/7 What is the second smallest value in 3.55, 5, 85170? 5 Which is the sixth smallest value? (a) -3 (b) -6 (c) 5 (d) 0.24 (e) 0.2 (f) 0.473 (g) -0.03 f Which is the biggest value? (a) 110/9 (b) 0.021 (c) 2/3 (d) -0.1 (e) 234 (f) 5 e Which is the third biggest value? (a) -2/18177 (b) -1/54 (c) 4 b What is the fifth biggest value in 2/79, -1, 0.5, -4/5, 962, 168, 1/4? 2/79 Which is the third smallest value? (a) 24 (b) -0.125388 (c) 3 a Which is the second smallest value? (a) -1/3 (b) -3748.9961 (c) 5 (d) 2/3 a What is the second biggest value in 1, 68, 6, 4/5, 2/9, 1/3, -40/13? 6 What is the second smallest value in -3, -29746, -3/299, -5? -5 Which is the biggest value? (a) 0.2315 (b) 1 (c) -5 (d) -0.24 (e) 2 e What is the second biggest value in -4, 159346, -136? -4 What is the fourth biggest value in 1/2, 1623, -1/3, -3.0225? -3.0225 What is the smallest value in 0.2, -74, -2, -16, 2/5, -242, -4? -242 Which is the second smallest value? (a) 1 (b) 290 (c) 38823 (d) 0.4 (e) -5 d Which is the second biggest value? (a) -3/35 (b) -2 (c) -0.21 (d) 23.9 (e) -4 (f) -0.2 a What is the second biggest value in -19, 0.149, 0, -5, -7, -0.5? 0 Which is the sixth biggest value? (a) 4/9 (b) 121/12 (c) -21 (d) 1/3 (e) -2/7 (f) 6 c Which is the fifth smallest value? (a) -37 (b) 4 (c) -5 (d) 0.136634 (e) -1/4 b What is the third smallest value in 0.141, -12/7, 5, 91/4? 5 What is the second biggest value in -0.2, -2/33, 1.5, 2/5, -3, 7, -3.5? 1.5 Which is the third biggest value? (a) -1/6 (b) 15.17165 (c) 0.31 (d) 2 c What is the fourth smallest value in -1/4, 1269, -0.31, 0, 5, -0.3, 10? 0 What is the fourth smallest value in -16, 9/7, 1748/11, -3, 1/2? 9/7 Which is the second smallest value? (a) 0.3 (b) 257 (c) 4/3 (d) -1 (e) -0.5 (f) -2/7 (g) 4 e Which is the fourth biggest value? (a) -2/15 (b) 47 (c) 273 (d) -0.06 (e) -10 a Which is the smallest value? (a) 12/11 (b) -259 (c) 633 b Which is the third smallest value? (a) -3594 (b) 1 (c) -1.2 (d) 2/3 d What is the sixth biggest value in 1, 2/29, -2/13, -4, 2/9, 143265? -4 Which is the seventh smallest value? (a) -0.3 (b) 1/9 (c) -5 (d) 0.3 (e) 4 (f) -1/7 (g) -76 e Which is the fourth biggest value? (a) -1 (b) 0.2 (c) -196/13 (d) 6.9 c What is the biggest value in 1, 4, 11/3764694? 4 Which is the smallest value? (a) -92 (b) 2 (c) -274/11 (d) 11/5 (e) -1 (f) 1 a What is the second biggest value in 2/5, 8/5, -1.3, 2.1, -0.5, 0.05? 8/5 Which is the sixth biggest value? (a) 1 (b) 3/8 (c) 10 (d) 100 (e) -1 (f) -21 f Which is the fourth smallest value? (a) -0.125 (b) -8 (c) 1/8 (d) -205 (e) -1 (f) -23 e What is the third smallest value in -2/3, 60, 129980? 129980 What is the fifth biggest value in -5, 0.1, -3, -1/274, 0, -2/9? -3 What is the sixth biggest value in -2/13, -3, -1/6, 1/2, 3, 947? -3 What is the second smallest value in -4, -0.01, 0.3, 0.1, 13658/25, 0, 4? -0.01 What is the second biggest value in -40, 151.67, 133? 133 Which is the second biggest value? (a) 1/3 (b) -29 (c) 5 (d) 18/7 (e) 5/4 d What is the second biggest value in -63, 34, -149? -63 Which is the biggest value? (a) -4/3 (b) -2 (c) -160269 (d) 0.03 d What is the third smallest value in -70, 2, 1/5, -0.3, -1? -0.3 Which is the second biggest value? (a) -10 (b) 1.48 (c) 11 (d) -354 (e) 1 b What is the third biggest value in -3558, -2, 17114? -3558 Which is the second biggest value? (a) -960 (b) 5 (c) -1/13 (d) 8 (e) -2/9 (f) -73 b Which is the second smallest value? (a) 2390676 (b) -1 (c) 2/9 (d) 4 c What is the fourth smallest value in 0.2, -0.8, 1, -3/214, 1/20? 0.2 Which is the fifth smallest value? (a) 0.12 (b) 1 (c) 1/23 (d) -8 (e) 4 (f) -1 (g) -3 a What is the fourth smallest value in -0.3, -4, 481.01, 0.3? 481.01 What is the fourth biggest value in -8/29, 2/15, 2/197, 0.4? -8/29 What is the second biggest value in 0.12, 11, -2/79, -21/4? 0.12 What is the third smallest value in -0.025, -1515, -1/21? -0.025 Which is the fourth biggest value? (a) -2/9 (b) 9 (c) 5 (d) 6 (e) 0.09 (f) 3/4 f Which is the third smallest value? (a) 973 (b) -0.2775 (c) -5 (d) -1 (e) 0.5 b Which is the biggest value? (a) -11/48 (b) 3.1 (c) 5.29 c Which is the seventh smallest value? (a) -1/254 (b) -2/53 (c) -3/5 (d) 1 (e) -5 (f) -1/5 (g) 2/15 d Which is the second smallest value? (a) 11786638 (b) -2 (c) -1 c Which is the sixth smallest value? (a) 84 (b) -1.5 (c) -0.106 (d) -4/7 (e) -0.5 (f) -5 a What is the fifth smallest value in -11, -65, -0.4, -47.56, 4? 4 Which is the fourth biggest value? (a) 2/31 (b) -4 (c) 0.06 (d) -1571 (e) 4 (f) -1 (g) 0 g What is the third biggest value in 1.3, 2/11, 295804? 2/11 What is the third biggest value in 3011, -5, 0, 3/4, 0.3, -6/37? 0.3 Which is the sixth biggest value? (a) 2 (b) 1 (c) -1926 (d) 2/7 (e) 0.3 (f) 310/7 (g) 3/7 d Which is the fifth biggest value? (a) 0.3 (b) -1/3 (c) 0.1 (d) 2.551 (e) -2/9 (f) 1.7 e What is the second biggest value in 3, 0.1, -3/5, 4, 38.085, -295/6, -0.3? 4 Which is the sixth biggest value? (a) 2/25 (b) 0.3 (c) -5 (d) 30948 (e) -4 (f) 5 (g) 4 e Which is the third smallest value? (a) -1/4 (b) -6357259 (c) -2/23 c Which is the fourth smallest value? (a) 4 (b) 1/27 (c) 5 (d) -0.03214 c Which is the seventh biggest value? (a) -1/16 (b) -0.4 (c) 4/9 (d) 3215/4 (e) 4/5 (f) -1 (g) 1/2 f Which is the fifth smallest value? (a) -5 (b) 66 (c) -3/5 (d) 1/137 (e) -0.1 (f) -1/4 (g) 0.5 d What is the third biggest value in 8.7, 90037, -2, -3? -2 What is the second biggest value in -4, -3, -1196.2, 0.0082? -3 Which is the second biggest value? (a) -276272 (b) 8 (c) 8/5 c What is the fifth smallest value in -3, -0.04, -277, -0.02, 0, 1? 0 What is the second biggest value in -3/4, 0, -3, -964, -1, -22? -3/4 What is the third smallest value in -5, -3, -473684? -3 What is the biggest value in -10481, -4, 39? 39 Which is the second biggest value? (a) 1.5 (b) 2/3597 (c) 1407/4 a Which is the fourth smallest value? (a) 591790 (b) 0 (c) -0.04 (d) -7/4 a Which is the fifth biggest value? (a) -1 (b) -0.16 (c) -25/3 (d) 7 (e) 0.36 c What is the fifth biggest value in -15, -3, 34/5, 2/9, 13, 3? -3 What is the third biggest value in 265736, 0.4, 1, 1/2, -4? 1/2 Which is the fourth biggest value? (a) 0.5124 (b) 55 (c) -6 (d) -6/11 (e) 2/5 d Which is the second smallest value? (a) -0.7 (b) -5.06 (c) 9.62 a What is the biggest value in -1, 2/145, 3, -13, 4/9, -3/16? 3 What is the third smallest value in 2651/6, 0, 168/31? 2651/6 What is the fifth smallest value in 0.63, -2, -0.68, -0.6, -2/7, -1/9? -1/9 What is the biggest value in 6/7, 2791, 4, -0.06, 0.03? 2791 What is the fourth smallest value in 0, -31, -6.5, 0.094? 0.094 Which is the fourth sm
{ "pile_set_name": "DM Mathematics" }
der when (-126)/(-27)*(-5 - -11) is divided by q? 3 Suppose 9 = 2*m - 5. What is the remainder when 35*((22 + -29)*(-10)/7 + -9) is divided by m? 0 Let k = 68 + -55. Suppose 0 = -13*p + 221 + k. What is the remainder when 123 is divided by p? 15 Let l = -320 + 343. Calculate the remainder when 548 is divided by l. 19 Suppose 32 = -3*a + 386. Suppose 0 = -9*f + 11*f - a. What is the remainder when f is divided by 10? 9 Let b(c) = 2*c**3 - 20*c**2 + 5*c - 73. What is the remainder when 379 is divided by b(11)? 155 Suppose 1 = -8*l + 121. Suppose -x + 3*a + 6 = 0, -2*a = -4*x - 2 + 6. Suppose -w - 8 + l = x. What is the remainder when 13 is divided by w? 6 Suppose 0 = -228*n + 75*n + 126684. Calculate the remainder when n is divided by 20. 8 Let x = 79 + -379. Let j = x + 334. What is the remainder when 164 is divided by j? 28 Suppose -5*u - 2*h + 14031 = -7817, 13088 = 3*u - 4*h. Suppose 11*w = 373 + u. Calculate the remainder when w is divided by 24. 23 Suppose -575 = 4*v - 563, 5*d - 3075 = 5*v. What is the remainder when d is divided by 64? 36 Let r be 8/36 - 241*1/(-9). Suppose 31*p + w + 123 = 36*p, w + r = p. What is the remainder when 95 is divided by p? 23 Let y be (2/(-3))/(3*34/2295). What is the remainder when 13/(-65) + 32/y*-9 is divided by 12? 7 Suppose -4*p = 24, 293*d - 6 = 290*d - p. What is the remainder when 2113 is divided by d? 1 Suppose -3*g - j + 8799 = -8*j, 2959 = g + 2*j. What is the remainder when g is divided by 20? 7 Let r = -33 - -39. Calculate the remainder when (0 + 268)/2*3/r is divided by 17. 16 Let y = 927 - 923. Suppose g + 3*x = 6*x + 30, -5*g + 218 = 2*x. Suppose -80 = -y*c + 2*b, -3*c + 2*b + 16 = -g. Calculate the remainder when c is divided by 6. 4 Suppose -3*n = 2*n - 20. Suppose 0 = -0*f - 3*f - n*q + 101, 4*q = 20. Calculate the remainder when 105 is divided by f. 24 Suppose 2*r - 202 = -4*i, -9*i + 13*i = 5*r + 181. Calculate the remainder when 1155 is divided by i. 28 Suppose -2*a + 3*a = 1, 2*p = -2*a - 10. Let y be ((-2)/(-3))/(p/(-2601)). Suppose -7*u + 82 + y = 0. What is the remainder when u is divided by 9? 8 Suppose -73*o + 8403 - 5429 = -31555. Calculate the remainder when o is divided by 110. 33 Calculate the remainder when 220 + (-18)/90*5 is divided by 74. 71 Let n = -2023 - -2123. What is the remainder when 1206 is divided by n? 6 Let v(j) = j**3 + 7*j**2 - 23. Calculate the remainder when 41 is divided by v(-6). 2 Let w = 25032 - 24769. What is the remainder when 962 is divided by w? 173 Let t be -2 - (-2 - 1) - 104. Suppose 2*r + 140 = -2*b, -2*b + 40 + 39 = -r. Let s = r - t. What is the remainder when 59 is divided by s? 29 Let f = -14872 + 14887. Calculate the remainder when 333 is divided by f. 3 Let d be (9/6)/(12/32). Suppose 3*u + 312 = 3*z, -z + d*z = -u + 308. What is the remainder when z is divided by 55? 48 Suppose 20*n + 2*d = 24*n + 118, 0 = n + 2*d + 32. What is the remainder when (-588)/(-15) + (-2)/10 is divided by 4/20 - (1296/n)/4? 6 Suppose 5067 = 41*m - 222. What is the remainder when 509 is divided by m? 122 Let t(u) = u**2 + 10*u + 45. Let r(i) = -5*i + 19. Let m be r(0). Let b = m - 19. What is the remainder when t(b) is divided by 12? 9 Let n be 29/((5 - (-132)/(-27)) + 0). Let p = n - 242. Calculate the remainder when 111 is divided by p. 16 Suppose -16*h + 36 = -10*h. Let i(p) = -2*p**3 + 16*p**2 - 9*p + 9. Calculate the remainder when i(7) is divided by ((-20)/8)/(23/h + -4). 14 Let h(x) = -18*x - 32. Let o(d) = -37*d - 66. Let j(c) = 11*h(c) - 6*o(c). Suppose -27 = -u + 13. Calculate the remainder when j(3) is divided by u. 36 Suppose 92801 + 32998 = 183*j - 65802. What is the remainder when j is divided by 344? 15 Suppose 9 = -o - 3*a, 0*o = -4*o - 3*a - 9. Let s = -6017 + 6032. Suppose 3*h + r - s = o, 4*h - r - 20 = -5*r. What is the remainder when 11 is divided by h? 1 Let y = 236 - 198. Suppose 10*q - 20 = 5*q. Suppose -p - u = p - 29, -p = -q*u - 10. What is the remainder when y is divided by p? 10 Let o be 6/3 + (-1 - -4)/3. Let f(w) = w**o + 4 - 1 - 379*w**2 - 15*w + 384*w**2. What is the remainder when 48 is divided by f(-7)? 8 Let p(n) = -8*n**2 + 11*n + 161. Let w be p(-8). Let j = 466 + w. Calculate the remainder when 375 is divided by j. 24 Suppose 1211 + 1285 = 12*a. Let l = 222 - a. Calculate the remainder when 47 is divided by l. 5 Let d be 4/(-26) + (-804)/(-156). Suppose 27 = 2*w + a, 0 = 5*w - d*a - 28 - 17. What is the remainder when 31 is divided by w? 7 Calculate the remainder when 553/(-158)*958/(-7) is divided by 12. 11 Suppose 3*q = 3*b - 5*b + 627, -3*b = 3*q - 939. Calculate the remainder when b is divided by 33/(-44) + (-510)/(-8). 60 Let y(b) = -3 + 5 + 2 - b**2 - 3*b + 16. What is the remainder when 5 is divided by y(-6)? 1 Let g(a) = 26*a**2 - 4*a - 1. Suppose 0*z - d = -2*z + 12, 3*z = 4*d + 28. What is the remainder when g(z) is divided by 67? 64 Calculate the remainder when (-366)/18*-15 + (7 - 5)/2 is divided by 219. 87 Let n(g) = 398*g - 14. Let l be n(3). Suppose 39*p - l = 19*p. What is the remainder when p is divided by 20? 19 Suppose 0 = 15*b - 13*b - 22. Let t(x) = 17 + b + 5 + 2*x - x. Calculate the remainder when t(-17) is divided by 9. 7 Suppose -25330 - 17654 = -24*d + 22536. What is the remainder when d is divided by 161? 154 Suppose -2*i + 3*o + 1320 = 936, 16 = 2*o. What is the remainder when 4691 is divided by i? 203 Let f = -38 - -41. Let k be -4 - (f*-2 - 4). Suppose 0 = k*y - 57 - 87. Calculate the remainder when 69 is divided by y. 21 Suppose 140 = z - b + 2, 0 = 3*b + 12. Let f be z/(-2 - -2 - (-8)/(-4)). Let u = f - -118. What is the remainder when u is divided by 9? 6 Let r(z) be the third derivative of z**6/120 - 7*z**5/60 - z**4/12 - 10*z**3/3 - 5*z**2 - 11. Calculate the remainder when 79 is divided by r(8). 23 Suppose -248 = -11*m - 39. Calculate the remainder when 49 is divided by (1/9 - 420/135) + m. 1 Let w(j) = 4*j - 9 - 3*j**2 + 4*j**2 + 0*j - 14. Let m(l) = -l**2 - 3*l + 22. Let v(h) = 5*m(h) + 6*w(h). Calculate the remainder when v(-14) is divided by 22. 20 Let r be ((-36)/15)/6*25. Let n = r + 53. Let t = 14 - 1. Calculate the remainder when n is divided by t. 4 Let h(r) = 2*r**2 + 378*r + 2208. Suppose 0 = -2*k - b + 253, 5*b - 226 = -4*k + 289. What is the remainder when k is divided by h(-183)? 5 Let k(v) = -27*v**2 + 81*v - 135. Let z(s) = 5*s**2 - 16*s + 27. Let c(h) = -2*k(h) - 11*z(h). Calculate the remainder when 232 is divided by c(10). 11 Calculate the remainder when -3054*(-2)/12 - -14 is divided by 14. 5 Calculate the remainder when ((-30)/(-12))/(105/303870) is divided by 94. 91 Let z be 2/(-10)*(-10)/(-2) + 832. Calculate the remainder when (z/(-4))/(-9 + 66/8) is divided by 20. 17 Let g = 84 + -59. Suppose 29*x = g*x + 92. Calculate the remainder when x is divided by 16. 7 Let g = 171 - 199. Calculate the remainder when 293 is divided by (5 + g/7)*21. 20 Let a = -2460 - -2473. What is the remainder when (6/(-9)*41)/((-8)/60) is divided by a? 10 Suppose 0 = 4*m + 2*u - 3648, -3*m + 4*u + 3764 = 1006. Calculate the remainder when m is divided by 45. 14 Let l(f) = 6*f + 94. Let r be l(-11). Suppose -6*k + 20 = -2*k - 3*i, 0 = 3*k + i - r. What is the remainder when 87 is divided by k? 7 Let s(l) = -l**3 + 11*l**2 - 33*l + 140. What is the remainder when s(7) is divided by 4/((-2)/(-23)*1)? 13 Let t(d) = 2*d**2 + 8*d + 3. What is the remainder when t(-6) is divided by (30/8)/(10 - (-2175)/(-232))? 3 Let r(w) = 5*w + 328. Calculate the remainder when r(-27) is divided by 92. 9 Suppose 0 = 5*l + 3*q - 9970, 5*l - 100*q - 9965 = -104*q. Calculate the remainder when l is divided by 246. 29 Let h(b) = -114*b - 1831. What is the remainder when h(-28) is divided by 26? 9 Let f = 119 + -70. Suppose 2*i - 91 + 473 = 4*n, 400 = 4*n + 4*i. What is the remainder when n is divided by f? 48 Let f(b) be the second derivative of b**4/12 - b**2/2 - 2*b - 55. What is the remainder when 139 is divided by f(4)? 4 Let a = -148 - -213. Suppose 932 = -58*x + 12010. Calculate the remainder when x is divided by a. 61 What is the remainder when (-87)/116 + (-1435)/(-4) is divided by 109? 31 Let r = -937 + 635. Let d = r + 351. What is the remainder when d is divided by 9? 4 Let f(c) = -6*c + 16 - 6*c -
{ "pile_set_name": "DM Mathematics" }
+ 2 - 19*c. What is j(-2)? -4 Suppose -7*u + 99 = 211 - 91. Let l(r) be the first derivative of -4*r**2 + r - 1. What is l(u)? 25 Let q(g) = 2*g + 2. Let f be q(-3). Let j(m) = -m**2 + 2. Let c(o) = 3*o**2 - 2*o**2 - 169 - 163 + 329. Let h(z) = f*j(z) - 3*c(z). Calculate h(-2). 5 Let z(a) = a**3 - 6*a**2 + a - 4. Suppose 0 = 3*t - 4*t + 4*n - 10, -4*t = -3*n - 25. Suppose -q = 13 - 29. Let f = q - t. What is z(f)? 2 Suppose -4*h + i + 21 = 0, -h - 2*h + 3*i + 18 = 0. Let j(p) be the second derivative of -2*p**3/3 + 2*p**2 - 20*p - 2. Calculate j(h). -16 Let l = -10 + 4. Let f(c) be the first derivative of -c**3/3 - 4*c**2 - 8*c - 776. Give f(l). 4 Let n(d) = 4*d - 1. Let a(p) = -p - 13. Let x be a(-26). Give n(x). 51 Let v(m) = m**3 + 3*m**2 - m + 2. Suppose -3*y + 0*y - 2*f = -42, -3*y - f = -39. Let t = -20 + y. Let h(i) = -i**2 - 9*i - 11. Let x be h(t). What is v(x)? 5 Let n(d) = -320*d**2 + 2 + 6*d - d + 319*d**2. Determine n(5). 2 Let q(z) = z**2 - 5*z - 1. Let s be q(4). Let v(t) be the first derivative of -t**2/2 - 3*t - 188. Give v(s). 2 Let y be 6 + 15/(-10)*4/3. Let x(q) = q**3 + 5*q - 3 - y*q**2 + q**2 + 2*q**2 - 3*q**2. Determine x(4). 17 Let s = 204 - 172. Let q be (9/6)/(12/s). Let h(g) = -2*g + 4. Calculate h(q). -4 Let x(b) = -114*b + 108. Let c(u) = -70*u + 65. Let m(q) = 13*c(q) - 8*x(q). Calculate m(9). -1 Let y(c) be the first derivative of -c**3/3 + c**2 + 119. Suppose -2*p + 14 = t + 5, -3*t + 25 = 5*p. Determine y(t). -15 Suppose 4*y = 77*f - 74*f + 38, 3*y - f - 21 = 0. Let t(j) = 11*j**2 - 8*j - 3. Let k(q) = 5*q**2 - 4*q - 1. Let h(w) = 9*k(w) - 4*t(w). Give h(y). 8 Let y(p) be the third derivative of -3*p**2 + 1/24*p**4 + 10 + 0*p + 0*p**3. Determine y(3). 3 Suppose -3*f = -4*h + 8*h - 6, 5*h + 15 = 0. Let w(y) = -y**2 + 3*y + 9*y - f - 3*y - 4*y. Determine w(4). -2 Let s be 0 + 0 + 2*-2. Let c(t) = -t**3 + t**2 + 2*t + 1. Let b(k) = -5*k**3 + 9*k**2 + 9*k + 9. Let f(o) = -b(o) + 6*c(o). Determine f(s). 1 Suppose -108*j + 113*j + 70 = 0. Let g(o) = -3*o - 11. What is g(j)? 31 Let d(k) = k**3 + 7*k**2 + 9*k + 12. Let f be d(-6). Let h(u) = -u**2 - u - 5. Let m(i) = 4 - 1 - 2. Let t(q) = f*m(q) - h(q). What is t(-2)? 1 Suppose 225 = 21*o + 183. Let b(q) be the third derivative of 0*q + 0 + 1/24*q**4 - 3*q**o - 1/6*q**3 + 1/4*q**5. Give b(1). 15 Let n(f) = -5*f**3 + 4*f**2 - f + 9. Let l(d) = 2*d**3 + d**2 - d + 2. Let c(k) = 2*l(k) + n(k). Give c(6). -5 Let k(u) = 93 - 123 + 4*u + 76 - 2*u. Calculate k(-21). 4 Let n(x) = -13*x - 1. Let b = -98 + 215. Let c = b + -118. Determine n(c). 12 Suppose 5*h = -5, -2*x = 6*h - 5*h + 131. Let u = x - -65. Let o(w) = -w**2 - w - 10. What is o(u)? -10 Suppose 2*d - 8 = -2*d, d + 8 = 5*n. Let g(i) = -i**3 + 10 - 14*i**2 - 25 + 0 - 2*i + 4*i**n. Determine g(-10). 5 Let n(c) = -2*c**2 - 7 + 6 - 4*c**3 - 334*c + 335*c. Determine n(-2). 21 Let o(t) = -t**3 + 10*t**2 - 13*t + 1. Suppose -3*w = -0*m - 3*m - 33, 0 = -5*w + m + 47. Give o(w). -35 Let y(c) = -3*c**3 - 4*c**2 - 4*c + 53. Let n(d) = d**3 + d**2 + d - 18. Let i(z) = -7*n(z) - 2*y(z). What is i(0)? 20 Let l(z) = 12*z - 9 - 13*z + 0*z. Give l(-9). 0 Suppose -4*j - 2 = -3*k, -4*k + 4*j = 2*j - 16. Let x = 12 + -1. Let w(h) = -6*h + 26. Let t(i) = 2*i - 9. Let r(n) = x*t(n) + 4*w(n). Calculate r(k). -7 Let s(a) be the first derivative of -9*a**2/2 + 7*a - 294. Calculate s(4). -29 Suppose 6*x + 24 = -6. Let s(n) = -6 - 9 + 4 - 3*n + 2*n. Give s(x). -6 Let n(x) = 2*x**2 + 10*x + 5. Suppose 5*a - o = -20, 3*o + o = -4*a - 16. What is n(a)? -3 Let l be 17/51*0*(-2)/(-4). Let c(r) = -r**2 + r + 6. Give c(l). 6 Let w(x) = -x - 19. Suppose 12 = -2*k + 5*n, -3*n + 6 = 48*k - 49*k. What is w(k)? -13 Let u(k) be the third derivative of -k**7/2520 - k**6/240 + k**5/40 + k**4/12 - 8*k**2. Let v(m) be the second derivative of u(m). Give v(2). -7 Let z be 15/(4 + -1 + -4). Let m be 30/z - (1 + -4). Let w(h) = 2*h - 6*h + 0 - 4*h**2 + m - 4. Calculate w(-2). -11 Let z be -5 + 7/5 - 4/10. Let s(u) = 2*u**2 + 3*u - 5. Determine s(z). 15 Let p(w) be the third derivative of -w**6/120 + w**5/30 + 40*w**2 + 18. Let n = 3 + -2. Calculate p(n). 1 Let y(g) = g - 11. Suppose -4*b + 4 = -3*b. Suppose -2*p + 14 = b*f - f, -2*p + 8 = 2*f. Give y(f). -5 Let n = 44 + -39. Let j(q) = 1 - 2*q + 1 + n*q**2 - 6*q**2. Give j(-4). -6 Let r(q) = q**2 - 13*q - 9. Let d = -124 + 138. Calculate r(d). 5 Let o(r) = -r**3 - 14*r**2 + r - 4. Let h(t) = -10*t**2 - 3. Let z(c) = -3*h(c) + 2*o(c). Suppose -1 = 3*p - 2*p. Give z(p). 3 Let c(j) = j + 28 + 0*j - 30. What is c(15)? 13 Suppose 4*f - 1 = -4*v - 17, 0 = 3*v + 4*f + 9. Let x = 7 + v. Let h(y) be the second derivative of y**3/6 - 9*y**2/2 + 8*y. Determine h(x). -9 Let y be 6 + -5 + 0 + 1. Let p(i) = 1. Suppose 0 = k - 1. Let h(c) = 3*c - 12. Let z(m) = k*h(m) + y*p(m). Calculate z(7). 11 Let w(r) = 3*r + 6 - 4 + 8909*r**2 - 8915*r**2 + r**3. Calculate w(5). -8 Let d(b) = b**3 - 5*b**2 + 6*b - 2. Suppose 6*g + 5*k = 2*g, -k = -g. Suppose -2*y + 3*y - 12 = g. Suppose -5*z + 8 = -y. Calculate d(z). 6 Let z(r) be the second derivative of r**3/6 - 4*r**2 + r. Let s = -22 + 29. Determine z(s). -1 Let x = 26 - 30. Let d(g) be the third derivative of 2*g**2 + 1/6*g**3 + 1/20*g**5 - 1/8*g**4 + 0*g + 1/120*g**6 + 0. Determine d(x). -3 Let f(b) = -b**3 + 3*b**2 - 2*b + 2. Suppose 90 = -4*z - z. Let p be -2 + z/(-3) - -2. Let x be (12/10)/(p/15). Determine f(x). -4 Let w(d) = 11*d**2 - 17*d - 7. Let z(i) = -8*i**2 + 11*i + 5. Let r(q) = 5*w(q) + 7*z(q). Calculate r(-7). 7 Let o(n) = -n**2 - 2*n + 7. Suppose 58 = -3*w - l + 43, 2*l - 5 = w. Calculate o(w). -8 Let j(y) = -2*y**2 - 8*y + 5. Suppose -5*p = 2*q + 31, -24 = -5*p + 8*p + 3*q. Calculate j(p). -5 Let a be (-14)/(4/(-22) - 48/99). Let g = a - 19. Let m(f) = f**2 + f + 1. Calculate m(g). 7 Suppose a + 332 = 320. Let y(l) = -l - 3. Calculate y(a). 9 Let r(y) be the third derivative of y**6/120 - y**5/10 + 5*y**4/24 - 2*y**3/3 - 848*y**2. Suppose -5*s + 15 = 40. Let a = 0 - s. Determine r(a). -4 Let w(i) be the third derivative of -i**6/120 + i**5/12 - 7*i**4/24 + 7*i**3/3 - 9*i**2 + 11*i. What is w(4)? 2 Let a(l) = -l**3 - 8*l**2 - 14*l - 2. Let w be a(-6). Let z(j) = -w*j + 1 + 0*j + 9*j + j**2. Calculate z(0). 1 Let n(q) = 8*q**2 + q - 1. Suppose 2*l = 2*s - 6, -4*s - 6 = 5*l - 3*l. Let k(u) = -2*u**2 - 5*u + 4. Let j be k(l). What is n(j)? 8 Let d(r) = -4*r**3 + 10*r**2 + 8. Let k(j) = j**3 - j**2 - j - 2. Let t(z) = d(z) + 5*k(z). Calculate t(-6). -8 Let a(m) = -3*m**2 - m - 2. Let n be a(-1). Let i(q) be the first derivative of q**2 - 4*q**2 + 4*q**2 - 4. Determine i(n). -8 Let l(u) = u**3 - 5*u**2 + u + 3. Let t(x) = x**3 - 9*x**2 - 10*x + 100. Let p be t(9). Let m = 3 + -1. Let j be m + 4/p*5. Calculate l(j). -9 Let t(q) = 399*q + 409*q + 1 - 1212*q + 0 + 402*q. Determine t(4). -7 Let x(m) be the first derivative of -m**4/4 - 4*m**3/3 + 3*m**2 + 2*m + 20. Calculate x(-5). -3 Suppose 38*j = 39*j - 13. Let p(h) = -h**3 + 14*h**2 - 13*h + 5. Calculate p(j). 5 Suppose 5*n = -w - 4, -3*n + 5*w = w - 16. Let p(i) = -2*i**3 + 2*i**2 - i - 3. Calculate p(n). -3 Let o(b) = -6*b. Let k be o(-1). Let s(t) = -20*t**2 + t - 4*t + 6*t**2 + 15*t**2 + 9 - 6*t. What is s(k)? -9 Let y = 359 + -360. Let s(j) be the third derivative of j**6/720 + j**5/120 + j**4/12 - j**2. Let r(c) be the second derivative of s(c). Give r(y). 0 Suppose 0 = 4*t + 2*u + 12, 2*t + 5*u + 0 = -14. Let m(h) be the first derivative of 2*h**3/3 + h**2 + 51. Determine m(t). 4 Let o(p) be the second derivative of -p**5/20 - p**4/3 + 3*p**2/2 - p. Let i(v) = -v**2 - 7*v + 40. Let z be i(-11). Determine o(z). 3 Let w(a) = -2*a**3 + 2*a**2 + a + 1. Let q be -1 - -4 - (-1 - -2). Suppose -5 = -6*z + 25. Suppose 0 = 5*m - 4*m + z*o - q, -4*m + 2*o + 8 = 0. Determine w(m). -5 Suppose 0*z + 3*z = 6. Let f(c) = 2 + 20*c - 1 - 20*c - 2*c**z. Give f(1). -1 Let g(a) = a**3 + 2*a**2 - 5*a - 4. Let h be g(-3). Let b(v) = 0 - 2065*v + 2069*v - 3. Give b(h). 5 Let z(k) = -k - 2. Let r(x) = 8*x. Let c be ((-8)/12)/(4/(-6)). Let u be r(c). Let d be -2 + 0 + (u - 1). Calculate z(d). -7 Let d(m) = m. Let o(r) = 6*r. Let p(g) = -7*g + 1. Let c(f) = -6*o(f) - 5*p(f). Let h be c(-9). Suppose -h*a = 3*t - 22 + 7, 9 = 3*a. Give d(t).
{ "pile_set_name": "DM Mathematics" }
t q = g + v. Is q prime? False Let n be (-685)/(-10) - (-2)/(-4). Is n/8 - 3/(-2) a composite number? True Let g = 87 - -39. Suppose 72 = 3*m - g. Suppose -2*y - y - 29 = -2*c, 0 = 5*c - y - m. Is c a prime number? True Let x = -11 - -13. Suppose x*p - 276 = -2*p. Is p a prime number? False Let k = 7 - 5. Suppose -5*j = -k*j - 171. Let c = j - 23. Is c composite? True Let j = 1 - -1. Is 74*(3/j - 1) a composite number? False Let x(v) = 7*v**2 - 1. Let n(o) = 15*o**2 + o - 1. Let q(k) = -4*n(k) + 9*x(k). Let h be (-4)/14 - (-120)/(-21). Is q(h) prime? True Suppose -4*h = -0*h - 276. Let j = -32 + h. Is j composite? False Let w be 2/5 + (-52)/(-20). Suppose -5*d = 2*r - 0*d - 6, 3*r - 9 = -w*d. Suppose 4*c = 3*g + 107, 4*g = r*c - 2*c - 43. Is c a composite number? False Suppose 273 + 918 = 3*s. Is s composite? False Let f = 13 - 8. Suppose -f*w = 5*y - 10 - 120, 5*w = -4*y + 105. Is y composite? True Let y(c) be the second derivative of 131*c**4/12 + c**3/6 - c**2/2 - 10*c. Is y(1) prime? True Let v be 6/3*6219/6. Suppose -2*z = z - v. Is z composite? False Suppose 3*t - 7*t + 2253 = 5*g, -4*t + 1355 = 3*g. Is g a composite number? False Let t(q) = 7*q - 2. Let p(m) = m**2 - m. Let o be p(1). Suppose o = -3*b + 3*u - 0*u + 6, 3*b + 4*u = 13. Is t(b) prime? True Suppose -q - 1 = 5. Let t(o) = 3 + 1 + 9*o + o**3 - o + 8*o**2 - 2. Is t(q) a prime number? False Let i be 2/(6/(-3))*-3. Let m(g) = 4*g**2 - 2*g + 1. Is m(i) composite? False Let k(y) = -y - 5. Let t be k(-5). Suppose 5*a - 195 = -t*a. Is a a composite number? True Suppose 0 = 3*d - 14 + 2. Let i be (10/8)/(1/d). Suppose 4*p + 2*q - 56 = q, 0 = i*q. Is p prime? False Suppose -3*k = 5*b - 8056 + 1242, 4*b = -k + 5447. Is b a prime number? True Suppose 8*m + 5 = 3*m. Let t(n) = -2 - 6*n**3 - 34*n**3 + 1. Is t(m) a composite number? True Suppose -h = 2 - 8. Let k(f) = 4*f**2 - 3*f + 15. Is k(h) a prime number? False Let i be ((-224)/(-1))/2 - 0. Suppose 2*r + 2*u - 4*u = i, -121 = -2*r + 5*u. Is r a prime number? True Let r = -20 + 87. Is r prime? True Let m be (40/25)/(2/5). Suppose -m*y - 7 + 19 = 0. Is y a prime number? True Let f(m) = -2*m**2 - 1. Suppose -1 = -3*z - o - 0, 4*z + 12 = -4*o. Let r be f(z). Is (-11)/((-6)/r + -1) composite? True Let w(n) = -n + 14. Let b be w(7). Let t = b + -4. Suppose -q + t*q - 26 = 0. Is q a prime number? True Suppose 108 = -3*g - 3*a - a, -g = -3*a + 49. Let n = g - 66. Is (n/6)/((-4)/12) a prime number? True Suppose 5*i - 5697 - 8238 = 0. Is i composite? True Suppose -2 = y + y. Let s(v) = 4*v + 0 - 25*v + 1. Is s(y) a prime number? False Let r be (-3)/12*-2*-2. Let y = 17 - r. Is (-4)/y - (-1426)/18 a prime number? True Suppose 2*y - 5*d = 158, 0*y - 2*d - 81 = -y. Is y a composite number? False Let a = -5 + 11. Let i be ((-74)/a)/(3/(-9)). Let p = i + -23. Is p a composite number? True Let b(p) = 21*p + 11. Is b(16) a composite number? False Suppose -4*m + 3*q = -7, -4*m + 2*m + 3*q - 1 = 0. Suppose 3*k - m*k = 0. Is (9 + 2 - k)*1 a prime number? True Suppose -488 - 384 = -4*c - 4*d, -219 = -c - 2*d. Is c a prime number? False Suppose -3*x + 5905 = a, 0 = 3*x + 3*a - a - 5903. Is x composite? True Is -356*4/(16/(-7)) composite? True Let y(r) = r**3 + 10*r**2 - 2*r + 1. Let m be 4/18*-3*-3. Let v be 5/m*-1*4. Is y(v) composite? True Suppose 3*z - 15 - 3 = 0. Let j = 9 - z. Suppose -2*u - 25 = -4*c - j*u, 13 = c - 2*u. Is c prime? True Let g be 9 - 0/(-1) - -1. Is 3/5 + 224/g composite? False Is 1112/3 - (-4)/12 prime? False Suppose -3*p + 11 = -o + 1, -2*o + 30 = 4*p. Suppose 201 = v + 2*v - 5*m, -v + o*m = -67. Is v a composite number? False Is 475/9 + 2/9 composite? False Let h be 0 - (-12)/((-3)/(-1)). Suppose 27 - 211 = -h*c. Is c composite? True Suppose 28 = -0*f + f. Is (-4)/(-14) - (-3548)/f composite? False Let s(g) = 10*g**2 - 2*g**3 - 3*g + g**3 - 8 - 4*g. Let a(k) = 8*k**3 + k**2. Let c be a(1). Is s(c) a prime number? False Let c be (-1*(0 + 1))/(-1). Suppose -2*m = -0 + 4. Is c/m*-2 + 36 composite? False Let u(o) = -o**3 - 5*o**2 - 2*o + 9. Let q be u(-4). Let f = 21 + -15. Let m = f + q. Is m a composite number? False Let t = -1 + -4. Let p(x) = -9*x + 1. Is p(t) a prime number? False Let q = 12 - 7. Suppose 0 = 5*i - 5 - q. Suppose 215 = -i*z + 7*z. Is z a prime number? True Is 2/8 - 918/(-8) a prime number? False Let x = 1 - 7. Let c = x + 117. Suppose c = -2*q + 365. Is q a prime number? True Let z(f) = 19*f + 1. Let m be 1/(-3)*(-6)/1. Suppose 0 = o + m - 4. Is z(o) composite? True Let h = 1 + -2. Let k(w) = -w - 1. Let a be k(6). Is h/2 + a/(-2) a prime number? True Let v(x) = x - 3. Let w be v(3). Suppose 6*p - p - 55 = w. Is p a composite number? False Suppose 12 = -3*b + 4*b. Suppose -b = -k - 3*k. Is (k/4)/(2/248) prime? False Let f(z) = z**3 + 7*z**2 + 3. Let n(r) = r**2 - 7*r - 1. Let c be n(6). Let b be f(c). Suppose 206 = 3*a + 5*d + 24, -5*a + 360 = -b*d. Is a a composite number? True Suppose -11 = -5*h + 9. Let r = -3 + 23. Suppose -o + 6 = o + 2*m, -h*o = 2*m - r. Is o a prime number? True Suppose s + 0 = -6. Let n = 2 + s. Is (-80)/(-6) + n/(-6) a composite number? True Suppose 0 = -5*r - 4*i + 399 + 1075, -3*r - i = -890. Is r prime? False Suppose 3*b - 2 = b. Let w = b + -1. Suppose 0 = 2*l + 2*l - 3*n - 357, w = -5*l + n + 460. Is l prime? False Let w be (-54)/21*28/6. Is (-2279)/(-9) - w/(-54) a prime number? False Is ((-5)/(-1) - 1) + 5659 a prime number? False Suppose 361 + 67 = 2*n. Is n a prime number? False Suppose 0 = -13*c + 7*c + 8634. Is c a prime number? True Suppose 8 = n - r, -4*n + r + 3 = -17. Let j = 0 + n. Suppose 2*k = -j*m + 496, 0 = 6*m - 3*m + 5*k - 379. Is m composite? True Let d(x) = -x - 1. Let w be d(-3). Suppose 0 = -m + 178 - 44. Suppose -m + 40 = -w*h. Is h a composite number? False Suppose -11 = -5*x + 3*f + 2, -5*x - 4*f + 6 = 0. Suppose n + 116 = 2*l, -2*l = -7*l - x*n + 299. Is l prime? True Suppose -h = -0*h - 19. Let d be (128/(-12))/(1*1/(-3)). Let o = d - h. Is o a prime number? True Suppose 5*o - 496 = 4*h, 2*o + 2*h = -3*h + 205. Suppose 5*r - o - 75 = 0. Is r prime? False Suppose -5*j + 0*o + 3*o + 5990 = 0, -4*j + 4775 = o. Is j a prime number? False Let k(d) = -11*d**3 - d**2 + 3*d - 3. Is k(-4) a composite number? False Suppose -3*g = -6, z - 2*z + 572 = -4*g. Let q = z + -395. Is q composite? True Let p = 52 + 75. Is p prime? True Let u be (2032 - -2) + -1 + -1. Is (u/24)/((-4)/(-6)) a composite number? False Let s(w) = 2*w**2 - 16*w + 25. Is s(11) composite? True Suppose -6*y + y = -10. Suppose 4*u - 71 = -5*h, -u + y*u = 5*h + 24. Is u prime? True Let v = -410 + 580. Suppose 0 = -5*i + 925 + v. Is i composite? True Is 3 + -1 + (-398)/(-2) a prime number? False Suppose 2*h = -2*h - 20. Let l = h + 15. Is l composite? True Suppose 5*o + 247 = 2*w, 4*o = 4*w + w - 643. Is w a prime number? True Let j = -39 - -74. Is j composite? True Let p = -18 - -13. Let h(d) = 21*d**2 - d + 6. Let i(b) = 32*b**2 - 2*b + 9. Let u(f) = p*i(f) + 8*h(f). Is u(-2) a composite number? False Let v be ((-520)/(-25))/((-1)/5). Let p = -69 - v. Is p prime? False Let q be 9/((-6)/2) + -1. Let p(d) = -18*d - 1. Is p(q) composite? False Suppose 3*n - n = 4. Suppose q - 5*q = -3*c + 247, n*c - 166 = 2*q. Is c a composite number? True Suppose 10 = -3*m + 25. Suppose -2*r - 175 = -m*u - 0*r, 4*r - 79 = -3*u. Is u composite? True Suppose -4*s + 6 = -s. Let p be 0 - s - 2*-2. Suppose -2 = -p*f + 6, 68 = 4*h - 2*f. Is h a composite number? False Suppose -8*k + 3*k + 387 = -3*x, 5*k - 355 = -5*x. Let b = k - 53. Suppose -3*g + g + b = 0. Is g prime? True Suppose -5*a + 1420 = -a. Is a prime? False Let r(u) = 20*u + 9. Is r(4) a composite number? False Suppose 7 = 3*j - 2. Suppose -p + j*p = 74. Is p a prime number? True Let l be 1*-2 + -2 + 4. Suppose l = -w + 2*w + 9. Is 1 - 3/(w/60) composite? True Let n(f) = -f**3 - 6*f**2 + 4*f + 4. Let g = -3 + -2. Let t be n(g). Let d = 74 + t. Is d a prime number? False Is 2/(-4 - 90/(-21)) prime? True Suppose 4*x + 0*x = 8. Suppose -5*z = -x - 63. Is z composite? False Let d be ((4 - 2)*-1)/(-1). Suppose 86 = 2*p + q, -p - 9 = -d*q - 57. Suppose -x + 41 = -p. Is x a composite number? True Suppose c + 6163 = 5*a + 795, -2*a = -c - 2149. Is a composite? True Sup
{ "pile_set_name": "DM Mathematics" }
2*z = 5*z + 49, 4*z = -12. List the prime factors of r(y). 5 Let v(s) = -s**3 + 7*s**2 - 6*s + 3. Let b be v(6). Suppose 0 = 2*o - b*o. Suppose o = 2*x - 6*x + 40. List the prime factors of x. 2, 5 Suppose -2*n = -3*n + 3*t - 3, 17 = 3*n + 4*t. Suppose -68 = -n*i + 22. What are the prime factors of i? 2, 3, 5 Suppose -d = -10 - 2. Let r = d - 3. What are the prime factors of r? 3 Let h(j) = j**2 + j - 2. Let n be h(-3). Let x be 14/(-10) - n/(-10). Let c = x + 5. What are the prime factors of c? 2 Let i(u) = -u**3 - 6*u**2 - 7*u - 2. Let v be i(-5). Let s = v + -5. List the prime factors of (-1)/3 + 34/s. 11 Suppose -3*c - 5 = -8*c, -4*c + 22 = 2*l. Let p(z) = -2*z**2 + 9*z + 11. Let d(m) = -m**2 + m. Let f(s) = -d(s) + p(s). List the prime factors of f(l). 2 Suppose 3*j = -0*j - 15. What are the prime factors of j/(2*(-2)/4)? 5 Let a = 0 - 1. List the prime factors of 25*1 - 0/a. 5 Let r(n) = -14*n + 2. List the prime factors of r(-6). 2, 43 Let s(o) = -3*o - 10. Let m(p) = 2*p + 9. Let w(q) = -4*m(q) - 3*s(q). What are the prime factors of w(10)? 2 Let z = 3 - 44. Let a = z + 57. List the prime factors of a. 2 Let c(p) = 5*p - 28. What are the prime factors of c(7)? 7 Suppose -3*p = -0*p + 48. Let n = p - -22. Suppose -n*i - 27 = -5*w - 2*i, -4*i - 21 = -3*w. What are the prime factors of w? 3 Let y = -15 + 28. Let a = y - -1. List the prime factors of a. 2, 7 Let w = -2 + -2. Let u(r) be the second derivative of r**4/12 + r**3/2 + 5*r**2/2 - 2*r. What are the prime factors of u(w)? 3 Let v be (-25)/(-15) + 1/3. Suppose v*k = -2*k + 52. List the prime factors of k. 13 Let n(f) be the third derivative of f**5/30 + f**4/8 - 5*f**3/6 - 4*f**2. What are the prime factors of n(-4)? 3, 5 Suppose 144*c = 142*c + 480. What are the prime factors of c? 2, 3, 5 Let z(j) = j**3 + 3*j**2 + 2*j + 239. List the prime factors of z(0). 239 Let j(l) = l**3 + 3*l**2 + 2*l + 3. Let u be j(-3). Let d be 2*1 - (-3)/u. Suppose -y = -3*t + 36, -4*y + d = -4*t + 57. List the prime factors of t. 11 Let m be (-7)/(-3) - 3/9. Suppose 5*l = m*h - 22, -3*h + 11 = -2*l - 0. Let s = 6 + l. What are the prime factors of s? 2 Suppose 0 = 2*j - r - 13, -4*j = 3*r - 35 + 14. What are the prime factors of j? 2, 3 Let g(y) = -y**3 + 6*y**2 + 10*y - 7. Suppose 0 = -0*k + 2*k - 14. What are the prime factors of g(k)? 2, 7 Let s(j) = j + 19. Let m(d) = -d**2 + 6*d + 7. Let r(l) = l + 1. Let y be r(6). Let t be m(y). List the prime factors of s(t). 19 Let l be (14 + 0)*1/2. Let a = 1 + l. List the prime factors of a. 2 Let x = 12 - 8. Suppose -x*l - 8 = -5*l. What are the prime factors of l? 2 Let n(z) be the third derivative of z**6/120 - 3*z**5/20 + z**4/24 + 11*z**3/6 - 4*z**2. Let o be n(9). What are the prime factors of o/50 + (-58)/(-5)? 2, 3 Let o = -32 - -65. What are the prime factors of o? 3, 11 Let x(y) = y**2 - 6*y - 9. What are the prime factors of x(8)? 7 Let q be (0 + -4)*(-5)/(-10). Let l(y) = -6*y**2 - 2*y - 1. Let o(n) = 3*n**2 + n. Let v(r) = 2*l(r) + 5*o(r). What are the prime factors of v(q)? 2 Let o be ((-21)/(-12) - 1)*28. Let y = o - 12. List the prime factors of y. 3 Let f(p) = -27*p - 87. List the prime factors of f(-11). 2, 3, 5, 7 Let t(v) = v**3 + 8*v**2 + 6*v. Let s be (-5)/(-15) + 8/(-6). Let d(c) = -7*c**2 + c + 1. Let i be d(s). List the prime factors of t(i). 7 Let f = -6 - -1. What are the prime factors of 2/f - 67/(-5)? 13 Let c be ((-1)/2)/(2/(-8)). List the prime factors of c/((-2)/2)*-4. 2 Let z(j) = -j**3 + 11*j**2 - 3*j + 7. What are the prime factors of z(5)? 2, 71 Let r = 4 - -2. Let c(w) = w**2 - 2*w + 4. Let p be c(r). Let s = p + -17. What are the prime factors of s? 11 Let d(m) = m**2 + 3*m - 2. Let v be d(-3). Let q be 0 - v/4*4. Suppose -q*y + 10 = -y. List the prime factors of y. 2, 5 Let k(y) = y**2 + 16*y - 51. List the prime factors of k(14). 3, 41 Let u = -23 - -51. What are the prime factors of u? 2, 7 Let k(h) = 3*h**2 - 4*h - 3. Suppose 0 = -8*b + 3*b - 15. What are the prime factors of k(b)? 2, 3 Let o be -4*(0 - 3/6). Suppose -o*i + 35 = 3*i. What are the prime factors of i? 7 Let p(m) = -m**3 + 6*m**2 + m - 7. Let y be p(6). Let f be (-410)/(-50) - 2/10. Let c = y + f. List the prime factors of c. 7 Let o be 5/20 - 185/4. Let u = 82 + o. List the prime factors of u. 2, 3 Let z be ((-44)/(-10))/((-1)/(-5)). Suppose -3*t + 4*m + 19 = -z, -4*t + 33 = -m. Suppose -37 = -4*n + t. What are the prime factors of n? 11 Suppose 0*p = 2*c + p - 7, 6 = 2*c + 2*p. Suppose c*u - 13 = 63. List the prime factors of u. 19 Suppose -5*y + 6 = -2*y. Suppose -y*u = -7*u. Suppose 2*q - 8 - 20 = u. List the prime factors of q. 2, 7 Let t = -3 - -5. Suppose t*u - 5*p + 6 = -1, 4*u - 3*p = -21. Let h = 10 + u. List the prime factors of h. 2 Suppose 5*t - 6*t - 3 = 0. Let d be (2/t)/((-4)/18). Suppose -d = 2*g - 3*g. What are the prime factors of g? 3 Let o(n) = n**3 + 5*n**2 + 2*n + 3. Let t = 14 - 10. Suppose -2*f + t = -3*f. List the prime factors of o(f). 11 Suppose 0 = 2*q - 239 + 77. What are the prime factors of q? 3 Suppose 17*y - 19*y + 142 = 0. What are the prime factors of y? 71 Let n(o) = o**2 - 3*o - 4. Let y be n(3). Let m be (y/(-5))/(10/25). Suppose m*s = 4*s - 2*g - 26, g = -2*s + 38. What are the prime factors of s? 17 Suppose -2*p - 64 = -220. What are the prime factors of p? 2, 3, 13 Let q be (-6)/(-3*6/639). Suppose 2 = -2*d, 32 = 5*a - 4*d + q. Let l = 54 + a. What are the prime factors of l? 17 Suppose -k + 1 + 4 = 0, -4*x - 5*k = -149. Let s = -18 + x. What are the prime factors of s? 13 Let y = 14 + -2. Let q be ((-10)/(-4))/(6/y). Suppose 23 + q = 4*p. What are the prime factors of p? 7 Suppose 0 = 4*u + u - 65. Suppose -10 = 2*m + 4*n, -4*m + 0*n = -3*n - u. List the prime factors of (-99)/(-12) - m/4. 2 Let j(i) = i**3 + 12*i**2 + 10*i - 1. Let a be j(-11). Suppose n - a = -4*n. What are the prime factors of n? 2 Suppose -5*a + 5 + 0 = 0. Let v(b) = b**2 - 1. Let y be v(a). Suppose -2*o + 10 + 4 = y. List the prime factors of o. 7 Let z = -167 - -260. What are the prime factors of z? 3, 31 Suppose 10*o - 6 = 8*o. Let l be 4/14 - (-374)/14. Suppose -5*a + 2*m = -2*a - l, 46 = 5*a - o*m. What are the prime factors of a? 11 Let d = 158 + -79. What are the prime factors of d? 79 Suppose -22 = p - 6*p - x, -3*p + 2 = -5*x. Suppose -p*j - j + 34 = 4*n, -70 = -5*j + 5*n. List the prime factors of j. 2, 5 Let d(h) = -h + 20. Let c = 7 + 2. What are the prime factors of d(c)? 11 Let c(o) = 69*o - 6. List the prime factors of c(2). 2, 3, 11 Let d = 25 - 22. Let g(r) = r**2 - 2*r + 0*r**2 - 1 + 2. What are the prime factors of g(d)? 2 Let b be (-1 + -2)*(-2)/2. Let x(c) = c**3 - c**2 - 2*c + 2. What are the prime factors of x(b)? 2, 7 Suppose -g + 5 = 3*i, 37 = -3*g - 3*i + 7*i. Let c(j) = -j - 1. Let f(n) = -7*n - 13. Let p(q) = -5*c(q) + f(q). List the prime factors of p(g). 2, 3 Let s(t) = -t**3 + 10*t**2 - t + 10. Let p be s(10). Suppose p - 30 = -3*l. List the prime factors of l. 2, 5 Let f(a) = a - 1. Let q be f(1). Let t = q + 8. List the prime factors of t. 2 Let n = 5 - -22. Let r = n + -11. List the prime factors of r. 2 Suppose 4 = 3*j - j. Suppose 0 = -s + j, -4*z - 3*s = -s - 76. What are the prime factors of z? 2, 3 List the prime factors of (-45)/(-2)*6/5. 3 Let w be ((-16)/(-6) - 2)*6. Suppose 5*r - w*z - 114 = 0, -4*z - 26 = -4*r + 3*r. Suppose 5*g - 13 = r. What are the prime factors of g? 7 Let a(l) be the second derivative of 5*l**3/6 + 5*l**2/2 - 3*l. Let d be a(4). Let w = 37 - d. List the prime factors of w. 2, 3 Let m = 235 + -104. What are the prime factors of m? 131 Suppose o = -3*o + 8. Let p(w) = w**2 + 3*w - 6. Let n be p(-6). Suppose o*a = -0*a + n. What are the prime factors of a? 2, 3 Suppose -4*b - h - 3 = 0, 5*b + 5*h + 15 = -0*h. Let w(x) = x + 17. List the prime factors of w(b). 17 Let k be -1 + 1 + -5 + 24. Suppose 2*q - k = -3. List the prime factors of q. 2 Let z = -15 - -53. List the prime factors of z. 2, 19 Let z(v) = v**2 - 2*v + 82. List the prime factors of z(0). 2, 41 Suppose 3*g + 3 - 2 = 5*j, 3*j = -4*g + 18. Suppose -j*l = 2*l. Suppose l = -f + 4*b - 8, f - 2 = 2*b - 0*b. List the prime factors of f. 2, 3 Suppose -2*w + 5*l = 4, 0 = w + l + 2. Let i(b) = 3*b**2 - b - 2. List the
{ "pile_set_name": "DM Mathematics" }
y be 4/2 + (3 - 1). Suppose 0 = -o - 3*l + 13, y*l = l + 9. Calculate the smallest common multiple of o and 11. 44 Let w(p) = p**3 - 13*p**2 + 16*p - 7. Calculate the least common multiple of 5 and w(12). 205 Let k = -3 + 7. Let s = 79 - 75. What is the least common multiple of s and k? 4 Suppose -4*f - 4*g - 139 = g, 5*f = -3*g - 177. Let a be (-3)/((-9)/(-6)) + -1. Find the common denominator of -21/8 and a/f*(-89)/1. 24 Suppose -z + 0*z + 4*l + 36 = 0, 3*z = 4*l + 76. Calculate the smallest common multiple of z and 14. 140 Suppose 4*r - 2 = 3*r. Suppose 3*c - 28 = -5*m, -3*c + 7*m - 22 = r*m. What is the smallest common multiple of 7 and c? 7 What is the common denominator of 14/15 and 3177/81 - 2/9? 15 Let h = -17 - -25. Calculate the lowest common multiple of h and 7. 56 Let g = 28852/217505 - 27/205. Let t = g + -24421/19098. Let f = -6299 + 113279/18. Calculate the common denominator of t and f. 18 Calculate the lowest common multiple of 24 and -10*-12*6/20. 72 Let r = 4583/22 + -208. Let q be 3/3 - 4859/4853. Let u = 296165/106766 + q. Calculate the common denominator of u and r. 22 Let b = -1/320 + -1879/320. Find the common denominator of b and 36. 8 Let j(l) = -4*l + 36. Calculate the least common multiple of (-2)/(2/(-1)) + 9 and j(6). 60 Let m = 16 + -12. Calculate the smallest common multiple of m and 92. 92 Calculate the common denominator of -6*((-9)/(-30))/1 and 2/5 + 273/30. 10 Let b be ((-13)/2)/(5/(-10)). Let a = 19 - b. Calculate the least common multiple of 16 and a. 48 Let l(q) be the first derivative of 2*q**3/3 + q**2/2 - 2. What is the least common multiple of 11 and l(1)? 33 Suppose 85 - 1 = 3*u. Let p be 16/u*(-14)/(-4). Suppose 3 = -p*k + 17. What is the least common multiple of k and 3? 21 Let q = 4768442659/355 + -13432259. Let s = q - 145/71. Let r = -398/15 - s. Calculate the common denominator of -46/3 and r. 3 Suppose 5*c - 10*c = -50. Suppose -o - 3 - 3 = -2*s, 4*o = 4*s - 12. What is the least common multiple of 3 + (-2)/s*3 and c? 10 Let s be 6/4 + (-18)/(-4). Suppose 3*z = -6 + 15, -s = 2*i - 4*z. Suppose -5*g - 2*w = -21, i = -g - 4*w - 0. What is the smallest common multiple of 10 and g? 10 Suppose -y + 54 = -4*y. What is the common denominator of ((-2)/6)/((-16)/(-20)) and ((-4)/y)/(16/(-498))? 12 Suppose -i - 4*i = -10. Calculate the least common multiple of i and 30. 30 Let u(o) = -12*o - 3 + 0*o**2 - 10 + o**2 + 4. What is the lowest common multiple of u(13) and 24? 24 Let x(z) be the second derivative of z**4/4 + z**3/6 - 2*z**2 - 2*z. What is the lowest common multiple of 22 and x(-3)? 220 What is the common denominator of (-273)/104 + -1*5 and 87/26? 104 Let b = -21137/6 + 3510. What is the common denominator of (25/(-30))/((-4)/3) and b? 24 Let r be 15/9 + (-1)/(-3). Suppose -r*b = -3*b + 5. Calculate the least common multiple of 2 and b. 10 What is the common denominator of -4 and (-158)/(-20) - 30/75? 2 Suppose -27 - 23 = -5*q. Calculate the lowest common multiple of 5 and q. 10 Let z = -20 - -26. Calculate the least common multiple of z and 4. 12 Calculate the common denominator of 65/56 and 275/30 + (-4 - 1). 168 Suppose 3*v = -26 + 218. Suppose -2*n = o - 3, n - 6*n - v = -4*o. Calculate the lowest common multiple of o and 7. 77 What is the smallest common multiple of -1 + 23/1 + 0 - 4 and 14? 126 Suppose 0 = -8*n + 3*n + 30. Let s be (0 - 3)/(-9)*n. What is the least common multiple of s/(-8) - 100/(-16) and 10? 30 Let c be ((-4)/18)/((-759)/9). Let m = c - 6329/1518. What is the common denominator of m and 4/10 + 343/30? 6 Let h be 5*((-12)/20 - -1). Calculate the common denominator of 71/4 + (2 - h) and 79/12. 12 Suppose -2*r = -r - 9. Calculate the lowest common multiple of r and (2*(-3)/(-9))/((-18)/(-243)). 9 What is the least common multiple of 2/(-11) - 2010/(-165) and 88? 264 Find the common denominator of (266/(-120) + 0)/((-2)/5) and 101/2. 24 Let g(i) = i**2 + 4*i + 4. Let q be g(-5). Let h = q + -18. Calculate the common denominator of 95/16 and 4/(-2) + h/12. 16 Suppose 4*o - o = 36. Let a(q) = q**2 + 2*q + 2. Let l be a(-2). Suppose l*u = u + 6. What is the smallest common multiple of o and u? 12 What is the common denominator of (1 - (-129)/(-48)) + -4 and -121/18? 144 Let r = 0 + 1. Calculate the lowest common multiple of 14 and r. 14 Let f be (-42374)/30*(-20)/(-24). Let v = f + 3548/3. Find the common denominator of v and 119/12. 36 Let t = -40923766082/12458457 - -1/1132587. Let s = 3282 + t. Calculate the common denominator of s and 2/(-80)*-134 + 7/(-28). 110 Suppose -467 = t + 4*w + 226, -5*t = 5*w + 3435. Let m = t - -5487/8. Find the common denominator of m and 57/2. 8 Let a = 149 + -119. What is the lowest common multiple of 12 and a? 60 Let l = 3/6161 + -708569/110898. Find the common denominator of -97/14 and l. 126 Suppose 2*r - r = 51. Calculate the smallest common multiple of 21 and r. 357 Let j = -26/43 - -2711/430. Find the common denominator of j and -11/14. 70 Suppose 4*i = 8*i. Suppose i = -y + 4 + 1, -2*t - 4*y + 52 = 0. What is the smallest common multiple of 18 and t? 144 Calculate the common denominator of -101/18 and 382/48 + (-24)/18. 72 Let h = 309 - 36. What is the common denominator of -1 + h/12 + -2 and -61/20? 20 Let d be 108/(-10) + (-36)/(-45). Calculate the lowest common multiple of ((-14)/d)/(3/15) and 7. 7 Let r = -163 + 171. Calculate the least common multiple of 34 and r. 136 Let d be ((-1)/8)/((-15)/626260). Let g = d + -5234. Calculate the common denominator of g and -127/12. 12 Suppose 20 = 4*z, -3*v + 0*z + 4*z = 164. Find the common denominator of -57/14 and ((-260)/v - -2) + 1. 84 Let v = 144 + -242. Calculate the common denominator of 149/18 and (-2)/(-6)*2163/v. 126 Let w(u) be the second derivative of -u**5/20 - 13*u**4/12 + u**3/6 + 9*u**2 - 6*u. What is the least common multiple of w(-13) and 9? 45 Let c(v) = -v**3 + 7*v**2 - 4*v - 2. Calculate the lowest common multiple of 24 and c(6). 120 Let i(g) = 3*g - 6. Let b be i(4). Let c(a) = a - 1. What is the smallest common multiple of 2 and c(b)? 10 Find the common denominator of 10/45*(-453)/(-8) and (-61)/(-16) + (-3)/(-2). 48 Let c = 993/34 + 5/17. What is the common denominator of ((-205)/60 + 4)*9 and c? 4 Find the common denominator of 18*(1/(-4) + -1) and (0 + (-106)/(-4))/(-1 + 2). 2 Let x(y) = 2*y**3 - 4*y**2 - 3*y. Calculate the smallest common multiple of x(4) and 5. 260 Let c = 1745/208 + -118/13. Calculate the common denominator of 85/52 and c. 208 Suppose i - 4*i = 9, -5*f + 5*i = -15. Suppose f = 2*s + s - 9. Suppose p = -5*j + 40, 0 = -2*j + 2*p + 1 + 3. What is the smallest common multiple of s and j? 21 Let j(u) = -6*u - 2. Calculate the smallest common multiple of j(-3) and 8 + -10 + 4 + 4. 48 Suppose p = -0*p - l + 69, -2*l + 204 = 3*p. Let r = -178/3 + p. Calculate the common denominator of r and 23/9. 9 Let m = 835/189 + -19/27. Let c = -4548 - -36441/8. Calculate the common denominator of c and m. 56 Let l be 907*(-2)/(-36) + -1. Let k = 569/9 - l. Let z = 47/11 - 827/88. What is the common denominator of z and k? 24 Suppose -3*l = -0*l - 18. Suppose -6*q + q = -5, 2*z - 5*q = 17. What is the least common multiple of z and l? 66 Let x = 666736080/7 - 95853033. Let v = 604034 + x. Let c = v + 986. What is the common denominator of -61/2 and c? 14 Let m = 150 + -134. Calculate the smallest common multiple of m and 7. 112 Let d(a) = a**3 + 9*a**2 + 10*a - 1. Let p be d(-7). What is the common denominator of 1 + (p/21 - -3) and -51/2? 14 Let s = -2453/8 + 307. Find the common denominator of 45/4 and s. 8 Let m(c) = -29*c + 13. Let k be m(-9). What is the common denominator of -151/12 and (9/18)/((-12)/k)? 12 Suppose 4*r - 14 = 10. What is the least common multiple of r and 20? 60 Suppose -3*r - 9 = 0, a - 2*r + 9 - 37 = 0. Let x(l) = l + 7. Let n be x(-5). Calculate the lowest common multiple of (-3)/((-3)/44*n) and a. 22 What is the least common multiple of -4*(0/3 + -4) and 12? 48 Let n(i) = i**2 - 8*i - 5. Let s be n(7). What is the lowest common multiple of (-1*3)/(s/64) and 38? 304 Let b(v) = 2*v**2 - 3*v + 4. Calculate the smallest common multiple of b(4) and -5*(-4 + (0 - 0)). 120 Suppose 4*a + 5*i = -70, -a + i - 102 = 4*a. What is the smallest com
{ "pile_set_name": "DM Mathematics" }
115, -30889, -32751, -34719? -36811 What is next in 8454, 33673, 75698, 134529, 210166? 302609 What is the next term in 247800, 247743, 247686? 247629 What is next in -17688652, -17688649, -17688646, -17688643? -17688640 What is the next term in -20928, -20465, -20002, -19539, -19076, -18613? -18150 What comes next: 1518, 13601, 46920, 112095, 219746, 380493? 604956 What is the next term in -2549, -3720, -5423, -7658, -10425, -13724? -17555 What is the next term in 12337111, 12337110, 12337109, 12337108? 12337107 What is next in 952, 7792, 27038, 65110, 128428, 223412? 356482 What comes next: 54, 19, -16, -51, -86, -121? -156 What comes next: 2405043526, 2405043523, 2405043518, 2405043511, 2405043502, 2405043491, 2405043478? 2405043463 What is next in 54547, 53506, 52465? 51424 What is the next term in -11285, -21852, -31675, -40760, -49113, -56740, -63647? -69840 What comes next: -156, -148, 182, 990, 2432? 4664 What comes next: 7722, 15447, 23170, 30879, 38562, 46207? 53802 What is next in 2372, 1475, 602, -235, -1024, -1753, -2410, -2983? -3460 What comes next: 2145, 8448, 18925, 33582, 52425? 75460 What comes next: -20146693, -20146698, -20146703, -20146708? -20146713 What is next in -70711, -565702, -1909249, -4525630, -8839123? -15274006 What comes next: 21013, 21005, 20987, 20959? 20921 What is the next term in 34131, 136566, 307297, 546324, 853647, 1229266, 1673181? 2185392 What comes next: 74825, 155019, 235213, 315407, 395601? 475795 What comes next: -1598, -5741, -12684, -22433, -34994? -50373 What is next in 966143, 1932722, 2899301, 3865880, 4832459, 5799038? 6765617 What comes next: 4756, 39535, 135018, 321901, 630880, 1092651? 1737910 What comes next: 3197, 6103, 8785, 11237, 13453, 15427, 17153? 18625 What is the next term in -100162120, -100162117, -100162114, -100162111, -100162108, -100162105? -100162102 What is the next term in 3782541, 7565108, 11347683, 15130266? 18912857 What is the next term in -175835, -176536, -177699, -179318, -181387, -183900, -186851? -190234 What is next in -229552, -457846, -686140, -914434, -1142728? -1371022 What comes next: 62949, 62843, 62737, 62631? 62525 What is the next term in 6399, 6498, 6597? 6696 What is the next term in -271242, -271486, -271716, -271926, -272110, -272262? -272376 What comes next: -43803, -44073, -44343, -44613, -44883? -45153 What is the next term in -167, 3300, 12705, 31018, 61209, 106248, 169105, 252750? 360153 What comes next: -321825, -321757, -321687, -321615, -321541, -321465? -321387 What is next in 35319, 141993, 319785, 568701, 888747, 1279929, 1742253, 2275725? 2880351 What comes next: -21867, -27765, -33663? -39561 What comes next: -117542, -117247, -116950, -116651? -116350 What is next in 38579, 80367, 122155? 163943 What comes next: 218499, 218529, 218583, 218661, 218763, 218889, 219039? 219213 What is next in 19755, 19434, 19111, 18786, 18459? 18130 What is the next term in 204810, 409621, 614430, 819237, 1024042, 1228845, 1433646? 1638445 What is next in -4887, -19524, -43917, -78066, -121971, -175632? -239049 What comes next: -1301309, -1301322, -1301335, -1301348, -1301361, -1301374? -1301387 What comes next: -538, -1198, -2274, -3766? -5674 What comes next: -38204, -38368, -38650, -39056, -39592, -40264, -41078? -42040 What is next in -6677, -12479, -17407, -21461, -24641, -26947, -28379? -28937 What comes next: 384237, 384218, 384187, 384144? 384089 What comes next: -110130, -110095, -110030, -109935, -109810? -109655 What is the next term in 35464, 71190, 106918, 142648, 178380, 214114, 249850? 285588 What is the next term in 30366891, 30366893, 30366895? 30366897 What comes next: 197, 314, 627, 1232, 2225, 3702? 5759 What is the next term in 11749, 23285, 34821, 46357? 57893 What is the next term in -2758, -11138, -25104, -44656, -69794, -100518, -136828? -178724 What comes next: 139208, 278422, 417646, 556880, 696124, 835378, 974642? 1113916 What is next in 9908, 9849, 9742, 9581, 9360? 9073 What is next in 2098440089, 2098440088, 2098440087? 2098440086 What comes next: -3374804, -13499146, -30373044, -53996492, -84369484? -121492014 What is next in -39513216, -39513217, -39513218, -39513219, -39513220? -39513221 What comes next: -3433622, -3433629, -3433636, -3433643? -3433650 What is next in -21644, -17522, -13366, -9158, -4880? -514 What is the next term in 11920, 95924, 324304, 769366, 1503416, 2598760, 4127704? 6162554 What is the next term in -8775, -17373, -25971, -34569? -43167 What is next in 91751, 183470, 275107, 366620, 457967, 549106? 639995 What comes next: -437, 1157, 5455, 13801, 27539, 48013? 76567 What is the next term in -15579755, -15579759, -15579765, -15579773, -15579783, -15579795, -15579809? -15579825 What comes next: 8602, 34394, 77366, 137500, 214778, 309182, 420694? 549296 What is next in -51489, -51493, -51509, -51543, -51601, -51689, -51813? -51979 What is the next term in -4407199, -8814402, -13221605? -17628808 What is next in 255294, 510921, 766548, 1022175? 1277802 What comes next: 5767, 46106, 155637, 368956, 720659, 1245342? 1977601 What comes next: 80117, 80075, 80035, 80021, 80057, 80167, 80375? 80705 What comes next: -144268, -158148, -172028, -185908? -199788 What is next in -1140997, -1140626, -1140253, -1139878, -1139501, -1139122? -1138741 What comes next: -280, -1026, -2430, -4624, -7740, -11910, -17266, -23940? -32064 What is next in 65072, 520461, 1756566, 4163747, 8132364, 14052777, 22315346? 33310431 What comes next: -2359, -9565, -21599, -38449, -60103, -86549, -117775? -153769 What is the next term in -19035, -76106, -171217, -304368, -475559, -684790? -932061 What comes next: 12598, 18671, 24742, 30811, 36878? 42943 What comes next: -18346, -18564, -18942, -19486, -20202, -21096? -22174 What is the next term in -3909287, -3909278, -3909269, -3909260? -3909251 What is next in 5048, 10092, 15160, 20288, 25512? 30868 What is next in 3184, 7268, 11348, 15424? 19496 What is next in 1203287, 2406747, 3610207, 4813667? 6017127 What comes next: -331, -2631, -8853, -20959, -40911, -70671, -112201? -167463 What comes next: 10367, 19192, 28015, 36836, 45655, 54472, 63287? 72100 What is next in 17770, 32620, 47470, 62320? 77170 What comes next: 90674, 90861, 91174, 91613, 92178? 92869 What is next in -880253, -1760537, -2640859, -3521225, -4401641, -5282113, -6162647? -7043249 What is next in -576150, -2304678, -5185580, -9218856, -14404506, -20742530, -28232928? -36875700 What comes next: -21936, -21095, -19700, -17757, -15272? -12251 What comes next: 11025, 21564, 32031, 42426, 52749? 63000 What comes next: -10928, -27331, -43734? -60137 What comes next: -11161, -21506, -31851, -42196, -52541? -62886 What is next in -782, -3494, -8028, -14390, -22586, -32622? -44504 What is the next term in -337959, -338016, -338073, -338130, -338187, -338244? -338301 What is the next term in -173596, -694459, -1562578, -2777959, -4340608, -6250531, -8507734, -11112223? -14064004 What comes next: -206511, -204171, -201831, -199491? -197151 What is next in 9609, 9680, 9737, 9780, 9809, 9824, 9825? 9812 What is the next term in 4616, 36935, 124624, 295361, 576824, 996691, 1582640, 2362349? 3363496 What is next in -15429, -12210, -8991? -5772 What is next in 38111, 76516, 114921, 153326? 191731 What is next in 363, 1590, 3919, 7584, 12819, 19858, 28935, 40284? 54139 What is next in 32, 98, 310, 746, 1484? 2602 What is next in -4589531, -4589471, -4589411, -4589351, -4589291, -4589231? -4589171 What is next in -67126, -67122, -67128, -67144, -67170, -67206, -67252? -67308 What is the next term in 200, 455, 766, 1133, 1556, 2035, 2570? 3161 What is the next term in 1130, 1142, 1150, 1148, 1130, 1090, 1022? 920 What comes next: -14677894, -14677896, -14677898? -14677900 What is the next term in -13921, -14161, -14865, -16267, -18601? -22101 What comes next: 143472, 143596, 143924, 144558, 145600? 147152 What is next in 13952, 54987, 123382, 219137? 342252 What is next in -248870, -249125, -249380? -249635 What is the next term in -151424, -607698, -1368154, -2432792, -3801612? -5474614 What is the next term in 976342, 1952687, 2929032, 3905377, 4881722, 5858067? 6834412 What comes next: -486909815, -486909816, -486909817?
{ "pile_set_name": "DM Mathematics" }
he hundreds digit of 77631? 6 What is the tens digit of 1789? 8 What is the units digit of 10149? 9 What is the tens digit of 976? 7 What is the thousands digit of 4526? 4 What is the ten thousands digit of 50866? 5 What is the hundreds digit of 44423? 4 What is the units digit of 8208? 8 What is the thousands digit of 36022? 6 What is the tens digit of 3721? 2 What is the hundreds digit of 799? 7 What is the tens digit of 843? 4 What is the units digit of 3856? 6 What is the ten thousands digit of 24351? 2 What is the units digit of 554? 4 What is the units digit of 34977? 7 What is the tens digit of 87461? 6 What is the units digit of 122652? 2 What is the units digit of 3928? 8 What is the hundreds digit of 1316? 3 What is the tens digit of 3169? 6 What is the units digit of 1271? 1 What is the units digit of 165258? 8 What is the hundreds digit of 3272? 2 What is the thousands digit of 1881? 1 What is the hundreds digit of 32372? 3 What is the ten thousands digit of 46144? 4 What is the tens digit of 571? 7 What is the thousands digit of 6519? 6 What is the hundreds digit of 207? 2 What is the thousands digit of 10479? 0 What is the units digit of 305? 5 What is the units digit of 619? 9 What is the thousands digit of 57738? 7 What is the units digit of 27285? 5 What is the tens digit of 1910? 1 What is the tens digit of 2501? 0 What is the units digit of 4511? 1 What is the hundreds digit of 2844? 8 What is the thousands digit of 8686? 8 What is the thousands digit of 2104? 2 What is the thousands digit of 3585? 3 What is the hundreds digit of 342? 3 What is the thousands digit of 44958? 4 What is the thousands digit of 65474? 5 What is the hundreds digit of 3222? 2 What is the thousands digit of 3909? 3 What is the ten thousands digit of 97338? 9 What is the hundreds digit of 880? 8 What is the hundreds digit of 5481? 4 What is the tens digit of 244? 4 What is the thousands digit of 1621? 1 What is the units digit of 1096? 6 What is the hundreds digit of 3219? 2 What is the tens digit of 89889? 8 What is the tens digit of 43192? 9 What is the units digit of 1591? 1 What is the units digit of 6149? 9 What is the thousands digit of 36323? 6 What is the thousands digit of 1035? 1 What is the hundreds digit of 51931? 9 What is the thousands digit of 1420? 1 What is the units digit of 2803? 3 What is the tens digit of 8620? 2 What is the units digit of 15358? 8 What is the thousands digit of 1258? 1 What is the tens digit of 804? 0 What is the ten thousands digit of 133222? 3 What is the tens digit of 9874? 7 What is the tens digit of 67467? 6 What is the hundreds digit of 495? 4 What is the hundreds digit of 8542? 5 What is the tens digit of 8774? 7 What is the units digit of 78552? 2 What is the units digit of 8370? 0 What is the hundreds digit of 35714? 7 What is the units digit of 2052? 2 What is the units digit of 1425? 5 What is the units digit of 1675? 5 What is the tens digit of 12863? 6 What is the units digit of 47? 7 What is the units digit of 2313? 3 What is the thousands digit of 3398? 3 What is the thousands digit of 76183? 6 What is the hundreds digit of 86190? 1 What is the tens digit of 1600? 0 What is the units digit of 29980? 0 What is the hundreds digit of 53758? 7 What is the thousands digit of 7754? 7 What is the hundreds digit of 27773? 7 What is the ten thousands digit of 76884? 7 What is the units digit of 20845? 5 What is the hundreds digit of 3912? 9 What is the tens digit of 1174? 7 What is the hundreds digit of 1220? 2 What is the thousands digit of 4706? 4 What is the tens digit of 1308? 0 What is the units digit of 12675? 5 What is the tens digit of 4813? 1 What is the tens digit of 256? 5 What is the tens digit of 52152? 5 What is the thousands digit of 41199? 1 What is the units digit of 54? 4 What is the units digit of 15523? 3 What is the thousands digit of 8107? 8 What is the thousands digit of 2190? 2 What is the units digit of 488? 8 What is the ten thousands digit of 53883? 5 What is the units digit of 384? 4 What is the units digit of 1960? 0 What is the hundreds digit of 1620? 6 What is the thousands digit of 51296? 1 What is the units digit of 449? 9 What is the thousands digit of 3748? 3 What is the hundreds digit of 2851? 8 What is the units digit of 26978? 8 What is the thousands digit of 1166? 1 What is the hundreds digit of 604? 6 What is the ten thousands digit of 54961? 5 What is the units digit of 8775? 5 What is the tens digit of 6147? 4 What is the hundreds digit of 6665? 6 What is the units digit of 9889? 9 What is the hundreds digit of 16818? 8 What is the ten thousands digit of 11925? 1 What is the hundreds digit of 6339? 3 What is the units digit of 8455? 5 What is the units digit of 1217? 7 What is the tens digit of 528? 2 What is the hundreds digit of 624? 6 What is the tens digit of 441? 4 What is the hundreds digit of 1052? 0 What is the tens digit of 570? 7 What is the ten thousands digit of 76935? 7 What is the tens digit of 1901? 0 What is the thousands digit of 96275? 6 What is the hundreds digit of 5018? 0 What is the ten thousands digit of 17287? 1 What is the hundreds digit of 52246? 2 What is the units digit of 12995? 5 What is the hundreds digit of 640? 6 What is the units digit of 72180? 0 What is the tens digit of 50401? 0 What is the tens digit of 33713? 1 What is the ten thousands digit of 15688? 1 What is the units digit of 4963? 3 What is the tens digit of 937? 3 What is the units digit of 114? 4 What is the tens digit of 4925? 2 What is the thousands digit of 139186? 9 What is the hundreds digit of 425? 4 What is the units digit of 470? 0 What is the units digit of 6047? 7 What is the tens digit of 90257? 5 What is the hundreds digit of 58996? 9 What is the hundreds digit of 88330? 3 What is the tens digit of 18491? 9 What is the units digit of 65001? 1 What is the tens digit of 16? 1 What is the ten thousands digit of 99387? 9 What is the tens digit of 646? 4 What is the units digit of 1183? 3 What is the thousands digit of 6706? 6 What is the hundreds digit of 28659? 6 What is the tens digit of 7487? 8 What is the units digit of 891? 1 What is the tens digit of 808? 0 What is the ten thousands digit of 56311? 5 What is the thousands digit of 10156? 0 What is the hundreds digit of 1039? 0 What is the hundreds digit of 2913? 9 What is the tens digit of 7076? 7 What is the hundreds digit of 13760? 7 What is the hundreds digit of 31300? 3 What is the units digit of 14694? 4 What is the units digit of 2583? 3 What is the tens digit of 2874? 7 What is the units digit of 1008? 8 What is the tens digit of 191? 9 What is the tens digit of 23856? 5 What is the thousands digit of 1358? 1 What is the units digit of 861? 1 What is the thousands digit of 111832? 1 What is the units digit of 1075? 5 What is the thousands digit of 112439? 2 What is the thousands digit of 3973? 3 What is the hundreds digit of 64432? 4 What is the ten thousands digit of 11979? 1 What is the hundreds digit of 6996? 9 What is the thousands digit of 100607? 0 What is the hundreds digit of 2580? 5 What is the thousands digit of 1549? 1 What is the hundreds digit of 41401? 4 What is the units digit of 2061? 1 What is the thousands digit of 9183? 9 What is the units digit of 229? 9 What is the thousands digit of 1607? 1 What is the tens digit of 620? 2 What is the thousands digit of 116798? 6 What is the tens digit of 7841? 4 What is the units digit of 17734? 4 What is the thousands digit of 17503? 7 What is the units digit of 763? 3 What is the thousands digit of 7923? 7 What is the tens digit of 1384? 8 What is the hundreds digit of 1273? 2 What is the tens digit of 1155? 5 What is the units digit of 2138? 8 What is the units digit of 4217? 7 What is the tens digit of 555? 5 What is the units digit of 11883? 3 What is the ten thousands digit of 75710? 7 What is the tens digit of 54? 5 What is the thousands digit of 21793? 1 What is the hundreds digit of 4937? 9 What is the tens digit of 2984? 8 What is the thousands digit of 3008? 3 What is the hundreds digit of 71010? 0 What is the hundreds digit of 4153? 1 What is the units digit of 1673? 3 What is the tens digit of 491? 9 What is the units digit
{ "pile_set_name": "DM Mathematics" }
e 2/4 - 15/(-10). What is the second smallest value in -1/7, -1/8, b, t? -1/8 Let j = 110 + -119. What is the third smallest value in j, 10/3, -0.2? 10/3 Let u = -0.1789 - 0.0211. Let g = -3.3 + 3. Which is the second smallest value? (a) 0.3 (b) u (c) g b Let p = 62 - 432/7. Let u = -182 - -81. Let d = -101.4 - u. What is the second smallest value in d, p, -4/3? d Let v = 31 - 94/3. Let k = 0.25 + -0.4. Let g = k - -0.35. What is the third biggest value in g, v, -5/3? -5/3 Let k be 0 + 87/18 - (-4)/6. Let q = 35/6 - k. Which is the biggest value? (a) q (b) -2/7 (c) 0.5 c Let i = 0.3 - 0.3. Suppose 3*t + 4*x - 7*x - 33 = 0, 5*x = -10. Let a be 93/t - -3 - 6/(-9). What is the third biggest value in i, -0.5, a? -0.5 Suppose 3*u + 7*d - 258 = 4*d, 3*u - 226 = 5*d. Let r = 84 - u. Which is the third smallest value? (a) 1 (b) r (c) -33/4 b Let t = -5/42 - -149/546. Which is the third biggest value? (a) 0.3 (b) -3 (c) t (d) -0.5 d Suppose -5*l - 68 = 7. Let o = l - -11. Let t = 0.07 - -0.33. Which is the biggest value? (a) -3/4 (b) o (c) t c Let a = -284 - -286. Let d = -0.2 + 0.2. What is the second smallest value in a, -0.12, d? d Let x = 7748 + -2595578/335. Let y = 1334/1005 + x. Which is the third biggest value? (a) 3 (b) y (c) -1 c Let q = 9.23 + -7.23. Let x(i) = -i**3 + 6*i**2 - i - 7. Let o be x(6). Which is the second smallest value? (a) q (b) 0 (c) 1 (d) o b Let y be 647/1078 + 2/(-11). Let q = y + 1/98. Let i = -5 + 5.4. What is the smallest value in 1, i, q? i Let k be (2/8)/((-50)/(-24280)). Let r = k - 121. What is the fourth smallest value in r, 0.2, -4, -3? r Let g = 0.0837 + -5.0837. What is the fourth smallest value in 3/4, g, -2/5, 0.4? 3/4 Let l = 12.8 + 2.2. Let r = -4 + l. Let h = -11.1 + r. What is the smallest value in 1, -6, h? -6 Let v = 8.86 + 0.14. Let q = v - 9. Let x = q + 0.6. Which is the second biggest value? (a) -4 (b) -1/4 (c) x b Let v be (-8 - -5)/((-10)/8 - 1). Let q = -0.4 - 4.6. What is the fourth biggest value in -2, v, 0.3, q? q Let h = -37 + 16. Let s = h + 16. Let o = -0.2 + 0.1. Which is the second biggest value? (a) o (b) 2/13 (c) s a Let d = -91 - -146. Let z = d + -54.7. Let v = 3 + -7. Which is the third smallest value? (a) -8 (b) v (c) z c Let i = -17.02 + 6.1. Let p = i - -11. Let d = p - 1.08. Which is the second biggest value? (a) 0 (b) d (c) 0.1 a Let h = 15.19 + -15.39. Let f = 256/665 + 2/133. What is the third biggest value in 2/13, h, f? h Let k = 2.089 - 2.289. Which is the second smallest value? (a) k (b) -0.11 (c) -5/6 (d) -1 c Suppose -85*z + 76 = -81*z. What is the third biggest value in z, 3/4, 5? 3/4 Let q = -5 - -10. Let h = 89 - 3475/39. Let v = -17/39 - h. What is the third smallest value in q, v, 3? q Let v(y) = 5*y - 15. Let s be v(4). Let u(k) = k**2 - 7*k + 8. Let n be u(s). Let l = 8 + -3. What is the smallest value in -0.1, n, l? n Let s = -5 - 5. Let x be (14/s)/(1/(-37)). Let o = x + -52. What is the third smallest value in -3, o, -3/4? o Suppose -f - 115 + 4 = 0. Suppose 0 = -4*u - 4*b + 16, -5*u + 4 = -4*b + b. Let t be f/108 - u/9. What is the second smallest value in 0.2, t, 2? 0.2 Let t = -195 + 194.9. What is the third biggest value in 92, t, 1/4? t Let l = -16 + 37/2. Let k = -10 - -24. Let s be ((-4)/6)/(21/k). What is the third smallest value in -3, l, s? l Let n = -16.07 - -15.3. Let o = 0.27 + n. Let g = o - 0.5. Which is the third biggest value? (a) g (b) 2 (c) -3 c Let x = 5/7 + -3/14. Let d be (1 + 0)/(-2 + 3 + -2). Which is the smallest value? (a) d (b) x (c) -2 c Let w = 65/87 - -1/348. Which is the fourth smallest value? (a) -18 (b) w (c) -3/8 (d) 4/5 d Let p = 25 - 20. Suppose 0 = 3*t - 2*g - 5, 0 = -2*g + 7*g + 5. Let q = 0.1 + -2.1. What is the third biggest value in t, p, q? q Let y = -0.021 - 0.509. Let t = y + 0.35. Let k = -0.38 - t. What is the third biggest value in -0.4, 1/4, k? -0.4 Let n = -113/63 + 11/7. Let w = 7 - 8. Let x be w*(-1)/26*4. What is the second biggest value in 2, x, n? x Let p be (2/12)/(6/(-16)). Let r = p - 2/9. What is the third biggest value in r, -0.5, -2/17? r Let h = -9.03 - -0.03. Let s = 14 + h. Let y = 3 - s. What is the smallest value in -0.1, 2/13, y? y Let r = 309.97 + -310. Which is the second smallest value? (a) r (b) 4/15 (c) 0.2 c Let x(n) = n**3 + 2*n**2 + 1. Let h be x(-2). Suppose 0 = 3*p - 3*t - 51, -2*t - 3*t = p - 29. What is the smallest value in 0.5, p, -0.5, h? -0.5 Let x = -0.23 + -0.07. Let m = 6250 + -6246. What is the second smallest value in 2, -0.1, m, x? -0.1 Let m be 2/684*(2 - -1782). Let r = m + -46/9. What is the second biggest value in r, 0.3, -15? r Let k = -1.588 - -1.488. Which is the third smallest value? (a) 0.03 (b) 5 (c) k b Suppose -162 = 120*x - 111*x. Which is the third smallest value? (a) x (b) -0.2 (c) -1 b Let j = -114 - -1139/10. Let z = 327 + -4253/13. Which is the fourth smallest value? (a) -0.2 (b) j (c) z (d) 1/6 d Let n be 3/((12 + -18)*1/(-6)). What is the second smallest value in -2/41, -3, n, 1? -2/41 Let l = -2 + -1. Let f = 0.3 - 0.5. Let m(g) = -g**3 - 13*g**2 - 24*g - 2. Let t be m(-2). What is the third biggest value in t, f, l? l Let x = -0.25 - -0.05. Let j = -7.233 + 0.033. Let m = j + 4.2. Which is the second biggest value? (a) 5 (b) x (c) m b Let t = 0.05 - -0.01. Let r = 0.04 - t. Let m = 0.08 - r. What is the third biggest value in -3, m, 2/7? -3 Let r = 6.15 - 0.15. Let g = -1 + r. What is the biggest value in g, 0, 0.1? g Let m = 8 - 14. Let z = m + 6.4. Let p = 861 + -860.7. Which is the third biggest value? (a) p (b) 1 (c) z a Let x be 1*(76/36 + -2). Suppose -44 = 4*m - 48. What is the second biggest value in x, m, 2/3, -2? 2/3 Let t = -779/6 - -259/2. Which is the second biggest value? (a) 28 (b) 3 (c) 4 (d) t c Let j be ((-44)/(-110))/(-1 + 14/10). Let o = 7 - 4. Let y = -8 + o. Which is the smallest value? (a) j (b) -2/13 (c) y c Let x = 19 + -17. Suppose s = -k - x*k - 5, 0 = k + 3. Which is the second biggest value? (a) -2 (b) s (c) -4 a Let f = 1218 - 1218.4. Let x = 1 + -0.9. Let c be (-8)/30*10/12. What is the second smallest value in x, c, f? c Let g(m) = -15*m + 355. Let h be g(24). What is the smallest value in h, 1.48, -3/7? h Let k = -17 - -16. Let n = 107 - 109. Which is the third smallest value? (a) k (b) n (c) 1 c Let s = -8.3823 + 0.1923. Let k = 8.2 + s. Which is the biggest value? (a) 2 (b) k (c) 4 c Let r = 10 - 5.5. Let l = -4 + r. Let p = -92 - -91.9. Which is the third smallest value? (a) l (b) p (c) 4 c Let y(j) = -j**2 + 42*j - 359. Let g be y(11). Which is the second smallest value? (a) -0.09 (b) 0.3 (c) g a Let d = -13 + 9. Let z be -6 + 272/36 + 4/(-18). What is the second biggest value in z, -0.3, -3, d? -0.3 Let r be -2 - 0*3/(-9). Let a = -430 + 432. What is the second smallest value in -0.4, 0.3, r, a? -0.4 Let n be ((-12)/96)/(3/((-12)/2)). What is the fourth biggest value in n, 0, 3/5, 2/7? 0 Suppose 2*x - 5*y - 15 = 10, -2*x - 3*y + 1 = 0. Suppose -17*z + x*z = 0. Which is the second smallest value? (a) -2/9 (b) -3/11 (c) z a Let u = 463 - 462.6. What is the second smallest value in 6, -3, u? u Let l = -0.0659 + 0.0659. Which is the third biggest value? (a) 1/8 (b) 10 (c) l c Suppose f - 1 = 5*x, -2*f + x - 17 - 8 = 0. Let q = f + 14. Suppose q = 3*r + 2*r. Which is the second biggest value? (a) -0.5 (b) -3/2 (c) r a Let o = -1.55 - -1.15. What is the second smallest value in 2/23, o, -2, 0.5? o Let a = 17/3 + -227/39. Let y = 2.381 - -2.619. What is the smallest value in -5, y, a? -5 Let r = 4/701 + 685/2804. Let g = -3.1 + 2. Let f = g + 5.1. What is the biggest value in r, -2, f? f Let x = 0.64 + 90.36. Let s = 93 - x. Which is the second smallest value? (a) -1 (b) 0.1 (c) s (d) -9 a Let z = -128/3 - -2170/51. Let y = -0.81 + -0.09. Which is the third smallest value? (a) 0.3 (b) y (c) z a Suppose 0 = 2*w - 7 + 3, 4*a + 5*w + 6 = 0. Let j be 0 - 0/a - 1/(-5). What is the smallest value in 2, 4, j, -5? -5 Let g = -277 - -274. Which is the smallest value? (a) -2/17 (b) 1.5 (c) g (d) 3 c Let i = -783 + 755. Suppose o + 9 = -15. Let z = i - o. What is the third biggest value in 1/11, -3, z? z Let p = -0.1261
{ "pile_set_name": "DM Mathematics" }
g(k) = k**2 + 1. Let t(p) = 12*g(p) + s(p). Let y = -19 - -21. Let b(c) = 4*c - y*c - c. Determine b(t(d)). 2*d**2 Let x(b) = -35 + 35 - b + 0*b. Let r(c) = 42*c + 10. Let t(v) = -14*v - 3. Let m(w) = -6*r(w) - 20*t(w). Calculate x(m(a)). -28*a Let g(v) = -12744*v + 10. Let f(m) = -4*m. Calculate f(g(w)). 50976*w - 40 Let f(b) = 14*b - 9. Let c(s) = 3*s + 426. Give c(f(y)). 42*y + 399 Let a(j) = 668*j. Let m(y) = -213*y - 1. Determine a(m(t)). -142284*t - 668 Let t(z) = 20*z**2. Let w(y) = 8*y + 55. Let x(h) = -2*h - 15. Let m(b) = -6*w(b) - 22*x(b). Calculate m(t(j)). -80*j**2 Let i(o) = 0*o + 0*o - 5*o**2. Let t(m) be the second derivative of 3*m**3/2 - 3990*m. Calculate t(i(w)). -45*w**2 Let c(t) be the first derivative of 13*t**3/3 - 6*t - 8. Let r(o) = -703*o**2 + 323. Let b(y) = 323*c(y) + 6*r(y). Let i(d) = -2*d**2. Determine b(i(w)). -76*w**4 Let u(f) = 180*f + 1. Let y(m) = -126*m + 2. Give u(y(c)). -22680*c + 361 Let s(x) = -2*x**2. Let h(a) be the second derivative of a**3/6 + 109*a. What is s(h(g))? -2*g**2 Let o(c) = 19*c - 3. Let x(r) = -56*r + 10. Let p(m) = -10*o(m) - 3*x(m). Let v(u) = -u - 3. Let j(y) = -4*y - 14. Let q(t) = 3*j(t) - 14*v(t). What is p(q(z))? -44*z Let i(j) = -2*j**2 - 251*j - 90. Let u(m) = -6*m. What is u(i(w))? 12*w**2 + 1506*w + 540 Let r(q) = -398295*q**2. Let j(g) = -2*g. What is j(r(m))? 796590*m**2 Let j(o) = 2*o**2 + 3. Let h(a) be the third derivative of -7*a**4/24 - 38*a**2. Calculate j(h(v)). 98*v**2 + 3 Let s(i) = i**2. Let f(w) be the first derivative of 10*w**3/3 + 137. Calculate f(s(v)). 10*v**4 Let m(k) be the first derivative of 79*k**2/2 - k + 771. Let d(y) = 6*y. Determine d(m(t)). 474*t - 6 Let g(q) = 22092*q**2. Let f(i) = -26*i**2. Determine f(g(p)). -12689468064*p**4 Let c(f) = -12*f**2 - 1. Let v(q) = -6830*q. Calculate v(c(k)). 81960*k**2 + 6830 Let n(i) = 2*i. Let u(c) = -38943*c**2 - c - 19. Calculate n(u(o)). -77886*o**2 - 2*o - 38 Let a(f) = -2 - 2*f**2 + 2. Let j(u) be the second derivative of u**5/60 + 4*u**2 - 17*u. Let c(b) be the first derivative of j(b). Calculate a(c(w)). -2*w**4 Suppose -9 = 3*b + 2*j + 3*j, -2*j - 2 = 2*b. Let k(i) = -6*i**2 - 12*i**b + 19*i**2. Let c(p) = -25*p. What is c(k(t))? -25*t**2 Let n(b) = -159865*b. Let f(l) = 10*l. Give f(n(j)). -1598650*j Let f = -6 - -8. Let c(r) = -3*r + r**f + 3*r - 3*r**2. Let n(p) be the second derivative of 2*p**3/3 + 6*p. Give c(n(w)). -32*w**2 Let z(t) be the first derivative of -t**2/2 - 114. Let j(r) = 62*r**2 + 7*r. Let p(m) = 21*m**2 + 2*m. Let x(d) = 2*j(d) - 7*p(d). Give z(x(o)). 23*o**2 Let h(m) = -m. Let p(c) = 3245*c**2 - 18*c. Determine p(h(a)). 3245*a**2 + 18*a Let b(a) be the first derivative of -5 + 0*a**2 - 8/3*a**3 + 0*a. Let x(p) = 2*p**2. Determine x(b(y)). 128*y**4 Let t(g) = -1. Let w(a) = a**2 - a + 3. Let m(o) = 3*t(o) + w(o). Let b(s) = 25*s**2 - 30*s. Let p(z) = b(z) - 30*m(z). Let h(n) = 6*n**2. Give p(h(d)). -180*d**4 Let o(u) = -2765*u. Let q(r) = -270*r. Give o(q(z)). 746550*z Let c(b) = 12 + 12 - 36 + 12 - 20*b**2. Let z(a) = 7*a. What is c(z(j))? -980*j**2 Let q(s) = 20*s + 38. Let m(o) = -11*o - 19. Let i = -123 - -134. Let r(x) = i*m(x) + 6*q(x). Let l(z) = z. What is r(l(v))? -v + 19 Let w(g) = 1346*g. Let o(s) = 28*s + 1. Determine o(w(k)). 37688*k + 1 Let t(b) = 2*b**2. Let r(h) = -3833762*h. Give t(r(w)). 29395462145288*w**2 Let z(l) = -95*l + 2. Let o(b) = -349*b. Calculate o(z(m)). 33155*m - 698 Let d(o) = 2*o**2. Let h = -16 - -56. Let i(k) = -52 + 28 + 24 - h*k. Determine i(d(p)). -80*p**2 Let x(t) = -24*t - 1. Let m(h) = 113*h - 3. What is x(m(d))? -2712*d + 71 Let r(v) = 94240 - 94240 + 2*v**2. Let s(q) be the second derivative of -5*q**4/12 + 2*q. Determine r(s(c)). 50*c**4 Suppose 0 = -4*h - 0*h + m + 8, h = 2*m + 2. Let a(c) = -7*c**2 - 5*c**2 - 10*c**2 + 25*c**h. Let b(k) = 18*k**2. What is a(b(w))? 972*w**4 Let w(o) be the first derivative of -2*o**2 + 75. Let n(l) = -23*l. Calculate w(n(r)). 92*r Let l(o) = 19*o**2. Suppose 6*t = 2*t - 4*t. Let a(q) be the third derivative of 1/12*q**4 + q**2 + 0 + 0*q**3 + t*q. What is l(a(m))? 76*m**2 Let s(x) = x. Let j = -21 - -21. Let b(u) = j - 5*u + 25*u + 0. Give s(b(g)). 20*g Let d(h) = -41*h. Let u(o) = 6*o**2 + 11*o**2 - 18*o**2. What is u(d(f))? -1681*f**2 Let z(p) = 238*p + 6 + 5 - 214*p - 5. Let d(t) = -2*t**2. Calculate d(z(b)). -1152*b**2 - 576*b - 72 Let t(b) = -189*b**2 - 3*b. Let a(c) be the first derivative of -c**2 + 304. Calculate t(a(u)). -756*u**2 + 6*u Let o(p) = -2*p. Let d(l) = -449778*l. Calculate d(o(f)). 899556*f Let r(v) = 4*v. Let s(j) be the first derivative of 8*j**3 - 534. Give s(r(u)). 384*u**2 Let o(d) = 2*d. Let x(k) = -23182*k. Let l(s) = -161*s. Let a(m) = 865*l(m) - 6*x(m). Calculate a(o(z)). -346*z Let k(m) = m**2 - m - 1. Let l(h) = -2*h**2 + 3*h + 3. Let t(u) = -3*k(u) - l(u). Let n(j) = 51*j**2 - j. What is t(n(b))? -2601*b**4 + 102*b**3 - b**2 Let t(x) = x. Let j(a) = 3*a. Let h(v) = 2*j(v) - 7*t(v). Let q(m) = -44*m - 1. Give h(q(r)). 44*r + 1 Let k(b) = 3370*b. Let f(x) = -248*x. Give f(k(i)). -835760*i Let r(u) = 3*u**2. Let b(o) = o - 478. Calculate b(r(g)). 3*g**2 - 478 Let d(j) = -27*j. Let i(l) be the second derivative of -22*l + 1/6*l**3 + 0 + 0*l**2. What is i(d(y))? -27*y Let h(a) = -5*a. Let t(r) = 247292*r. Give t(h(u)). -1236460*u Let l(f) = -2*f**2. Let b(z) = z**3 - 8*z**2 + 7*z. Suppose 6*q - 4*q = 14. Let u be b(q). Let p(x) = u*x - 6*x + x + 4*x. Determine l(p(k)). -2*k**2 Let k(x) be the third derivative of -x**4/12 - 2*x**2. Let i(a) be the second derivative of 0*a**2 + 2/3*a**3 + 0 - a. What is i(k(s))? -8*s Let m(h) be the second derivative of -h**3/2 + 64*h. Let p(z) = 79*z. Give p(m(r)). -237*r Let q(y) be the second derivative of -5*y**3 + 7*y. Let v(x) = 3*x. Let z(d) = 2*d. Let k(t) = -3*v(t) + 4*z(t). Give k(q(f)). 30*f Let u(m) = 3138*m. Let p(o) = o**2. What is u(p(f))? 3138*f**2 Let z(t) = 56*t**2 - 784*t + 1. Let j(m) = -m. Determine z(j(r)). 56*r**2 + 784*r + 1 Let m(q) = 3*q**2. Suppose 2*g - 9 = y - 0*y, -4*g = 2*y - 22. Let k(j) = 56*j + 1. Let d be k(0). Let h(v) = 36*v - d - 47*v + y. What is h(m(t))? -33*t**2 Let u(s) = -20*s**2 + 10*s + 12. Let r(i) = 19*i**2 - 8*i - 10. Let z(h) = -5*r(h) - 4*u(h). Let a(m) = 3*m**2. Calculate z(a(j)). -135*j**4 + 2 Suppose -7*w - 121 = -142. Let x(h) be the third derivative of 0*h + 0*h**w - 8*h**2 + 1/12*h**4 + 0. Let v(g) = -2*g. Give x(v(y)). -4*y Let p(q) = 3*q. Let t(x) = -7*x**2 - 498*x. Calculate t(p(i)). -63*i**2 - 1494*i Let u(c) = -2*c**2. Let v(r) = -23*r + 65*r - 25*r - 14*r + 3*r**2. Calculate v(u(s)). 12*s**4 - 6*s**2 Let q(k) = -18110*k**2. Let b(j) = j. What is b(q(v))? -18110*v**2 Let m(k) be the second derivative of -2*k**3/3 + 37*k. Let t(z) = -22*z**2. Give m(t(c)). 88*c**2 Let n(z) = -11*z**2 - 17*z - 17. Let v(u) = -2*u**2 - 3*u - 3. Let m(t) = -6*n(t) + 34*v(t). Let d(a) = 4*a**2. Determine d(m(f)). 16*f**4 Let s(t) = -3*t. Let k(o) be the third derivative of o**4/12 + 16*o**3/3 - o**2 - 52*o. Determine k(s(a)). -6*a + 32 Let v(s) = -24*s**2 - 48*s. Let o(f) = -f. Let m(k) = -48*o(k) + v(k). Let c(j) be the second derivative of j**3/6 + 2*j. Give c(m(a)). -24*a**2 Let j(b) = -2*b. Let r(q) = -152 + 416*q**2 - 175 + 327. Calculate j(r(u)). -832*u**2 Let n(y) = 32*y**2. Let g(m) be the first derivative of m**5/30 + 19*m**2/2 - 18. Let f(z) be the second derivative of g(z). Give f(n(t)). 2048*t**4 Let p(f) = 161*f**2. Let d(r) = -r**2 + r. Let o(b) = -8*b**2 + 7*b. Let i(u) = -14*d(u) + 2*o(u). Calculate p(i(z)). 644*z**4 Let j(k) be the third derivative of -1/60*k**5 + 0*k**4 + 0*k - 32*k**2 + 0*k**3 + 0. Let f(o) = -o**2. What is j(f(l))? -l**4 Let p(t) = 107922*t**2. Let w(j) = -5*j**2. What is w(p(s))? -58235790420*s**4 Suppose 3*p = 3*c - 6, 2*c + p - 1 = -0. Let l(v) = v - 1. Let u(h) = 2*h**2 + 6*h - 6. Let t(b) = c*u(b) - 6*l(b). Let i(s) = s - s + s**2. Determine i(t(z)). 4*z**4 Let i(z) = -3*z. Let l(h) = -265529*h. Calculate l(i(f)). 796587*f Let a(l) be the first derivative of -l**2 + 12 - 3 + 2*l**2 + 9. Let w(m) = 5*m. Determine a(w(q)). 10*q Let m(r) = 147*r**2. Let p(j) = -250*j. Calculate p(m(s)). -36750*s**2 Suppose 76 = 3*m - 4*d, -5*m = -2*d - 38 - 70. Let g(z) = 2*z - 19
{ "pile_set_name": "DM Mathematics" }
ulate s. -3, 0, 1 What is y in -y**2 - 7*y + 30 = 0? -10, 3 Let -3*a**4 + 99*a**3 - 279*a**2 + 273*a - 90 = 0. What is a? 1, 30 Solve 54*r**5/5 + 108*r**4/5 + 72*r**3/5 + 16*r**2/5 = 0. -2/3, 0 Factor 2*a**2 + 2*a - 144. 2*(a - 8)*(a + 9) Factor 4*o**2 + 76*o + 312. 4*(o + 6)*(o + 13) Suppose -3*l**3/4 - 9*l**2 + 81*l/4 - 21/2 = 0. Calculate l. -14, 1 Determine p, given that -p**2/5 + 23*p - 114/5 = 0. 1, 114 Factor 3*o**5 - 21*o**4 - 198*o**3 - 438*o**2 - 381*o - 117. 3*(o - 13)*(o + 1)**3*(o + 3) Factor -5*s**2 - 45*s + 50. -5*(s - 1)*(s + 10) Find k such that -2*k**5 - 20*k**4 - 64*k**3 - 52*k**2 + 66*k + 72 = 0. -4, -3, -1, 1 Factor 2*b**5 + 134*b**4 - 556*b**3 + 844*b**2 - 566*b + 142. 2*(b - 1)**4*(b + 71) Find k, given that -4*k**4 + 56*k**3 + 332*k**2 - 816*k + 432 = 0. -6, 1, 18 Factor 5*y**3 - 695*y**2 + 4035*y - 5985. 5*(y - 133)*(y - 3)**2 Factor r**3/4 + 4*r**2 - 9*r - 144. (r - 6)*(r + 6)*(r + 16)/4 Factor h**5/5 + 26*h**4/5 + 232*h**3/5 + 774*h**2/5 + 567*h/5. h*(h + 1)*(h + 7)*(h + 9)**2/5 Find u, given that -6*u**2 + 490*u + 496 = 0. -1, 248/3 Factor -2*g**4/3 - 342*g**3 - 2036*g**2 - 12184*g/3 - 2704. -2*(g + 2)**3*(g + 507)/3 Factor -51*o**2 - 312*o - 36. -3*(o + 6)*(17*o + 2) Let 2*j**2 + 50*j = 0. What is j? -25, 0 Factor -2*k**4/3 - 2*k**3 + 20*k**2/3. -2*k**2*(k - 2)*(k + 5)/3 Solve -2*y**2/3 - 996*y - 372006 = 0 for y. -747 Suppose 7*y**4 + 681*y**3 + 16315*y**2 - 12201*y - 4802 = 0. What is y? -49, -2/7, 1 Factor w**3/2 + 131*w**2 + 259*w/2 - 261. (w - 1)*(w + 2)*(w + 261)/2 Solve 4*c**5/17 + 10*c**4/17 - 44*c**3/17 - 96*c**2/17 + 72*c/17 + 54/17 = 0 for c. -3, -1/2, 1, 3 Factor -2*u**3/9 + 2*u**2/9 + 4*u/3. -2*u*(u - 3)*(u + 2)/9 Factor 5*n**2 + 1085*n + 3210. 5*(n + 3)*(n + 214) Factor 4*m**2/5 + 68*m/5 - 48. 4*(m - 3)*(m + 20)/5 Determine g, given that -2*g**4 - 48*g**3 + 216*g**2 - 224*g = 0. -28, 0, 2 What is l in 4*l**4/3 - 352*l**3/3 + 1280*l**2 - 14848*l/3 + 19456/3 = 0? 4, 76 Factor -2*c**2/7 - 148*c/7 - 80. -2*(c + 4)*(c + 70)/7 Solve r**5 - 7*r**4 + 3*r**3 + 59*r**2 - 104*r + 48 = 0. -3, 1, 4 Solve 3*m**2/4 - m/8 = 0. 0, 1/6 Determine m so that 45*m**5 + 145*m**4 - 645*m**3 + 615*m**2 - 100*m - 60 = 0. -6, -2/9, 1 What is q in -q**2/4 + 25*q/4 - 6 = 0? 1, 24 Let 2*m**2/5 + 66*m - 668/5 = 0. Calculate m. -167, 2 Solve 4*v**2 + 3992*v + 996004 = 0 for v. -499 Solve 2*v**2/9 + 17180*v/9 + 36894050/9 = 0. -4295 Let 6*r**3/11 - 276*r**2/11 + 4134*r/11 - 20280/11 = 0. Calculate r. 13, 20 Let 2*a**4/7 - 44*a**3/7 - 2*a**2/7 + 44*a/7 = 0. What is a? -1, 0, 1, 22 Solve -5*s**5 - 375*s**4 + 1560*s**3 - 1580*s**2 = 0 for s. -79, 0, 2 Suppose -i**3/7 - 78*i**2/7 + 499*i/7 - 60 = 0. What is i? -84, 1, 5 Solve -574*q**3/9 + 764*q**2/3 + 962*q/3 + 20/9 = 0. -1, -2/287, 5 Let -9*b**5/8 + 75*b**4/8 - 127*b**3/8 - 3*b**2/8 + 13*b/2 + 3/2 = 0. Calculate b. -1/3, 1, 2, 6 Suppose -a**2/8 - 10*a - 200 = 0. What is a? -40 Factor -2*r**2/5 - 1032*r/5. -2*r*(r + 516)/5 Determine t, given that -t**2/2 - 1171*t/2 - 1752 = 0. -1168, -3 Suppose 4*m**4 + 8*m**3 - 4*m**2 - 8*m = 0. What is m? -2, -1, 0, 1 Find u such that -2*u**5/7 + 34*u**4/7 + 1166*u**3/7 + 3230*u**2/7 + 300*u = 0. -15, -2, -1, 0, 35 Factor -j**2/5 + 1704*j/5. -j*(j - 1704)/5 Solve 60*r**5 - 245*r**4 - 160*r**3 + 1095*r**2 - 90*r = 0 for r. -2, 0, 1/12, 3 Find b such that 5*b**5 - 40*b**4 + 65*b**3 + 110*b**2 - 160*b - 160 = 0. -1, 2, 4 Factor -5*s**3 + 285*s**2 - 2530*s. -5*s*(s - 46)*(s - 11) Factor b**2/3 + 9*b + 176/3. (b + 11)*(b + 16)/3 Factor -q**3 + 19*q**2 - 87*q + 117. -(q - 13)*(q - 3)**2 Find c, given that -2*c**5 + 6*c**4 - 4*c**3 = 0. 0, 1, 2 Solve -18*v**5/11 + 240*v**4/11 - 284*v**3/11 - 56*v**2/11 + 94*v/11 + 24/11 = 0. -1/3, 1, 12 Factor -5*h**3 + 20*h**2 + 5*h - 20. -5*(h - 4)*(h - 1)*(h + 1) Determine x so that -3*x**5/5 + 39*x**4/5 + 306*x**3/5 + 654*x**2/5 + 561*x/5 + 171/5 = 0. -3, -1, 19 Let -2*t**2 - 2846*t/3 + 1900/3 = 0. What is t? -475, 2/3 Factor 8*y**3 - 44*y**2 - 80*y - 28. 4*(y - 7)*(y + 1)*(2*y + 1) Factor -5*z**2 - 135*z - 460. -5*(z + 4)*(z + 23) Factor -2*l**2/15 + 10*l/3 - 76/5. -2*(l - 19)*(l - 6)/15 Find z such that 3*z**2/4 + 123*z/2 + 540 = 0. -72, -10 Find f such that 6*f**4/5 + 93*f**3/5 + 39*f**2/5 - 93*f/5 - 9 = 0. -15, -1, -1/2, 1 Solve 4*c**2 - 872*c + 868 = 0. 1, 217 Factor -3*q**3 + 216*q**2 - 987*q - 1206. -3*(q - 67)*(q - 6)*(q + 1) Factor 4*a**3 + 60*a**2 + 264*a + 320. 4*(a + 2)*(a + 5)*(a + 8) Determine p so that -55*p**4 - 90*p**3 + 95*p**2 + 90*p - 40 = 0. -2, -1, 4/11, 1 Factor 2*c**3 + 31*c**2 + 40*c - 28. (c + 2)*(c + 14)*(2*c - 1) What is i in -i**4 + 2*i**3 + 292*i**2 + 574*i + 285 = 0? -15, -1, 19 Factor 5*w**5 - 5*w**4 - 25*w**3 - 15*w**2. 5*w**2*(w - 3)*(w + 1)**2 Solve -35*l**4/4 + 545*l**3 - 10805*l**2/4 + 3720*l - 855 = 0. 2/7, 2, 3, 57 What is w in -2*w**2/7 - 808*w/7 - 81608/7 = 0? -202 Factor -4*w**3 - 80*w**2 + 84*w. -4*w*(w - 1)*(w + 21) Factor 3*g**2/8 + 105*g/4 - 2133/8. 3*(g - 9)*(g + 79)/8 Suppose -5*c**4 + 140*c**3 - 1135*c**2 + 700*c + 16500 = 0. What is c? -3, 10, 11 What is x in -196*x**5 - 252*x**4 + 332*x**3 + 108*x**2 + 8*x = 0? -2, -1/7, 0, 1 Factor f**3/5 + 6*f**2/5 - 19*f/5 - 24/5. (f - 3)*(f + 1)*(f + 8)/5 Determine z, given that -3*z**2 - 12*z - 12 = 0. -2 Solve -2*x**4/3 + 12*x**3 - 26*x**2/3 - 48*x + 136/3 = 0 for x. -2, 1, 2, 17 Determine t, given that -4*t**5/5 - 44*t**4/5 - 156*t**3/5 - 196*t**2/5 - 16*t = 0. -5, -4, -1, 0 Factor 3*y**2/2 - 3*y/2 - 9. 3*(y - 3)*(y + 2)/2 Solve -t**3/3 + 44*t**2 + 45*t - 266/3 = 0 for t. -2, 1, 133 Determine y so that y**3 - 65*y**2 - 66*y = 0. -1, 0, 66 Factor -3*c**3 - 78*c**2 + 12*c + 312. -3*(c - 2)*(c + 2)*(c + 26) Find i such that i**3/4 - 7*i**2/2 - 8*i = 0. -2, 0, 16 Factor 5*o**3 + 35*o**2 - 960*o + 3420. 5*(o - 6)**2*(o + 19) Let -20*w**2 + 84*w - 16 = 0. Calculate w. 1/5, 4 Determine j so that -j**4 + 4*j**3 - 5*j**2 + 2*j = 0. 0, 1, 2 Factor 4*s**3/5 - 4*s**2 + 28*s/5 - 12/5. 4*(s - 3)*(s - 1)**2/5 Solve -c**5/3 + c**4 + 38*c**3/3 + 8*c**2 - 64*c/3 = 0 for c. -4, -2, 0, 1, 8 Suppose -2*m**2/7 - 6*m/7 + 8 = 0. Calculate m. -7, 4 Factor 6*d**3/5 + 8*d**2/5 - 98*d/5 + 12. 2*(d - 3)*(d + 5)*(3*d - 2)/5 Factor -4*n**2 + 57080*n - 203632900. -4*(n - 7135)**2 Factor 9*l**3 + 7890*l**2 - 2631*l. 3*l*(l + 877)*(3*l - 1) Find u, given that u**2/5 + 32*u/5 + 12 = 0. -30, -2 Solve -x**3 - 147*x**2 + 148*x = 0 for x. -148, 0, 1 Factor 3*j**3/4 - 1350*j**2 + 810000*j - 162000000. 3*(j - 600)**3/4 What is d in 20*d**3/13 - 378*d**2/13 + 322*d/13 + 36/13 = 0? -1/10, 1, 18 Suppose -q**2/5 - 48*q/5 - 576/5 = 0. What is q? -24 Let -7*n**4 + 9*n**3 + 5*n**2 - 9*n + 2 = 0. Calculate n. -1, 2/7, 1 What is g in -2*g**4/7 - 2*g**3/7 + 4*g**2/7 = 0? -2, 0, 1 Let 5*c**5/4 + 29*c**4/2 + 34*c**3 - 76*c**2 - 156*c + 72 = 0. What is c? -6, -2, 2/5, 2 Determine i, given that 3*i**4 + 1470*i**3 + 7299*i**2 + 11652*i + 5820 = 0. -485, -2, -1 Factor -5*h**3 - 35*h**2 - 35*h + 75. -5*(h - 1)*(h + 3)*(h + 5) Factor -4*b**2 + 72*b + 1120. -4*(b - 28)*(b + 10) Factor 3*g**2 - 870*g + 867. 3*(g - 289)*(g - 1) Factor -6*i**2/13 - 70*i/13 + 24/13. -2*(i + 12)*(3*i - 1)/13 Determine k, given that k**5/8 + 3*k**4/4 - 9*k**3/2 + 5*k**2 = 0. -10, 0, 2 Let -8*b**5/7 - 160*b**4/7 - 554*b**3/7 - 694*b**2/7 - 356*b/7 - 64/7 = 0. Calculate b. -16, -2, -1, -1/2 Determine w so that 28*w**3 + 804*w**2 - 232*w = 0. -29, 0, 2/7 Suppose 8*b**5/9 - 68*b**4/9 - 16*b**3/3 + 104*b**2/9 + 40*b/9 - 4 = 0. Calculate b. -1, 1/2, 1, 9 Factor 2*l**4/9 + 14*l**3/9 - 20*l**2/9 - 32*l/9. 2*l*(l - 2)*(l + 1)*(l + 8)/9 Suppose -5*r**4 - 10*r**3 = 0. What is r? -2, 0 Let -35*c**4 - 200*c**3 + 95*c**2 + 200*c - 60 = 0. Calculate c. -6, -1, 2/7, 1 Factor 33895575246*a**4 - 11241429784*a**3 - 18999708*a**2 - 10680*a - 2. 2*(3*a - 1)*(1781*a + 1)**3 What is h in 217*h**5 + 954*h**4 + 1426*h**3 + 852*h**2 + 157*h - 6 = 0? -2, -1, -3/7, 1/31 Let -3*w**5 + 97*w**4/7 - 75*w**3/7 - 15*w**2 + 76*w/7 - 12/7 = 0. Calculate w. -1, 2/7, 1/3, 2, 3 Factor -4*i**2 + 10244*i + 20504. -4*(i - 2563)*(i + 2) Factor g**5/4 + 21*g**4/2 + 41*g**3/4. g**3*(g + 1)*(g + 41)/4 Factor -2500*x**3 - 17650*x**2 - 4209*x/4 - 63/4. -(x + 7)*(100*x + 3)**2/4 Factor -10*r**3 + 615*r**2 - 890*r - 600. -5*(r - 60)*(r - 2)*(2*r + 1) Deter
{ "pile_set_name": "DM Mathematics" }
548 - 19*r**2 - 548. -19*r**2 Collect the terms in -5*n**2 - 31 + 62 - 31. -5*n**2 Collect the terms in -13987 + 13987 + 9*l**2. 9*l**2 Collect the terms in 1518*l**2 - 2 + 2. 1518*l**2 Collect the terms in -24*o**2 + 2*o**3 + 17*o**2 - 9*o + 9*o. 2*o**3 - 7*o**2 Collect the terms in 4*l**2 - 4*l**2 + 0*l**2 + 50 - 3*l**2. -3*l**2 + 50 Collect the terms in -310*a**3 - 10*a**3 - 194*a**3. -514*a**3 Collect the terms in 10*g**2 - 6*g**2 - g**2 - 5*g**2. -2*g**2 Collect the terms in -4*v**2 - 8*v**2 + 25*v**2. 13*v**2 Collect the terms in -12*u + 3*u + 5*u + 4*u + 27*u**2. 27*u**2 Collect the terms in 7*b + 42 - 7*b + 2*b**2. 2*b**2 + 42 Collect the terms in -25*s**2 - s + s + 17*s**2 + 9*s**2. s**2 Collect the terms in 30 - 30 + 8*u**3 + 9*u**3. 17*u**3 Collect the terms in -2 + 25 - 13 + 20 - a. -a + 30 Collect the terms in 3*u + 28 + 20 + 27 - 75. 3*u Collect the terms in -7*l - 5 + 2*l + 3 + 0. -5*l - 2 Collect the terms in 643*b**2 + 30*b - 30*b - 641*b**2. 2*b**2 Collect the terms in 24*i**2 - 27*i**2 + 6*i**2. 3*i**2 Collect the terms in -5*n**3 + 15*n**3 - 13*n**3. -3*n**3 Collect the terms in -19*u**2 + 0*u**2 + 3*u**2. -16*u**2 Collect the terms in 11*x + 7*x - 20*x. -2*x Collect the terms in 2*q**2 - 1585 + 3169 - 1584. 2*q**2 Collect the terms in 771*x + x**3 + x**3 + 433*x + 0*x**3. 2*x**3 + 1204*x Collect the terms in 26*h - 15*h + 7*h. 18*h Collect the terms in 2*p**2 + 9*p**2 + p**2 - p**2. 11*p**2 Collect the terms in -n**2 - 5*n**2 - 7*n**2 + 14*n**2. n**2 Collect the terms in 13*w**2 + 11*w**2 - 8*w**2 + 6*w**2. 22*w**2 Collect the terms in 135 - 5*a - 135. -5*a Collect the terms in -2898 + 2898 + 25*p. 25*p Collect the terms in -s**3 - 30*s - 38*s - 29*s + 97*s. -s**3 Collect the terms in -k**3 - 9081 + 9081 + 0*k**3. -k**3 Collect the terms in 43*a**2 - 7*a**2 + 8*a**2 - a. 44*a**2 - a Collect the terms in -113462*r**2 - 9*r**3 + 113462*r**2. -9*r**3 Collect the terms in 17*z**3 + 30*z**3 + 8*z**3 - z - 11*z**3. 44*z**3 - z Collect the terms in 915*u - 450*u - 463*u. 2*u Collect the terms in -237*b**3 + 478*b**3 - 242*b**3. -b**3 Collect the terms in -44*j - 76 + 159 - 83. -44*j Collect the terms in -11 - 4*l + 26 - 4 - 11. -4*l Collect the terms in 4*t**2 - 7*t**2 - 7*t**2. -10*t**2 Collect the terms in 3*x**2 + 2 - 6 - 2*x**2 - 3*x**2. -2*x**2 - 4 Collect the terms in 3*m**2 + 3*m**3 - 3*m**2 - 14*m**3. -11*m**3 Collect the terms in 9*q**3 - 7 + 7. 9*q**3 Collect the terms in 2*o + 3 + 0*o - 3. 2*o Collect the terms in 33*n + 63*n - 26*n. 70*n Collect the terms in -28*y**2 + 15*y**2 + 29*y**2. 16*y**2 Collect the terms in 20*l + 20*l - 5*l + 14*l. 49*l Collect the terms in -117*q + 2 - 2 + 99*q. -18*q Collect the terms in -3*t**2 - 9*t**2 + 9*t**2. -3*t**2 Collect the terms in 241*i**3 - 489*i**3 + 245*i**3. -3*i**3 Collect the terms in 39 + 12*p**2 - 39. 12*p**2 Collect the terms in 5 - 2 - 4 + 55*j**3 - 19*j**3. 36*j**3 - 1 Collect the terms in a**2 - 6*a**2 + 15*a**2 - 7*a**2. 3*a**2 Collect the terms in -565 - 2*i - 567 + 1132. -2*i Collect the terms in -1 - 57*t - 40*t - 35*t. -132*t - 1 Collect the terms in -273*k**3 + 152*k**3 + 133*k**3. 12*k**3 Collect the terms in 1409*x**3 - 2819*x**3 + 1416*x**3. 6*x**3 Collect the terms in -3*o**2 - 4*o**2 + 5*o**2 - 3*o**2. -5*o**2 Collect the terms in 32*l - 57*l - 7*l. -32*l Collect the terms in 6*s - 5*s - 4*s + s. -2*s Collect the terms in -103*h**2 - 108*h**2 + 212*h**2. h**2 Collect the terms in -6*r**3 + 0*r**2 - 10*r**2 + 10*r**2. -6*r**3 Collect the terms in -41*z**2 + 33*z**2 - 215*z + 215*z. -8*z**2 Collect the terms in a**3 - 7551 + 7551. a**3 Collect the terms in 19*n**3 + n - 10*n + 19*n**3 - 45*n**3. -7*n**3 - 9*n Collect the terms in 1 - 6 + 14*c + 3. 14*c - 2 Collect the terms in -46*l**2 + 933 - 933. -46*l**2 Collect the terms in 5*i + 96 - 96 - 2*i. 3*i Collect the terms in 2*k - 2*k - 8*k + 9*k + 37*k**3. 37*k**3 + k Collect the terms in 24*y**2 + 23*y**2 - 49*y**2 + 63*y - 63*y. -2*y**2 Collect the terms in 2*f**3 + 237*f - 237*f. 2*f**3 Collect the terms in -10*t + 6*t + 0*t + t**2 + 4*t. t**2 Collect the terms in 93*t - 140*t + 79*t. 32*t Collect the terms in 20*l**2 - 49*l**2 + 24*l**2. -5*l**2 Collect the terms in 266 - 266 - 4*m**2. -4*m**2 Collect the terms in 293*n + 161*n - 5*n. 449*n Collect the terms in 20 - 1 - 1 + 21*s + 6. 21*s + 24 Collect the terms in -8*d - 2*d + 4*d - 2*d - 2*d**2. -2*d**2 - 8*d Collect the terms in -142*z**2 + 56*z**2 - 153*z**2. -239*z**2 Collect the terms in 0*r - r - 48*r**2 + r. -48*r**2 Collect the terms in -2 - 27*n + 21*n + 2. -6*n Collect the terms in -1043*g + 518*g + 522*g. -3*g Collect the terms in -20 + 8 - g**3 + 12. -g**3 Collect the terms in 1209636 - 1209636 - 2*m + 2*m + 2*m**2. 2*m**2 Collect the terms in 34*k**2 - 227*k**2 - 81*k**2 - 344*k**2. -618*k**2 Collect the terms in -10*b**2 - 6*b**2 + 8*b**2. -8*b**2 Collect the terms in -42*f**2 + 13*f**2 + 17*f**2 + 11*f**2. -f**2 Collect the terms in 18*a + 18*a - 39*a. -3*a Collect the terms in 18541*c - 6*c**2 - 18541*c. -6*c**2 Collect the terms in 1 - 9*i - 17*i - 1. -26*i Collect the terms in -16*h + 26*h - 15*h - 10*h. -15*h Collect the terms in 310 - 310 - 3*r**3. -3*r**3 Collect the terms in 3*b + 37*b**2 - 3*b - 33*b**2. 4*b**2 Collect the terms in 728 + 2*k**3 - 728. 2*k**3 Collect the terms in -5 + 5 - 5*x**2 + 4*x**2. -x**2 Collect the terms in 9*b + 979*b**2 - 985*b**2 - 9*b. -6*b**2 Collect the terms in 1074*w**3 - 10*w + 10*w. 1074*w**3 Collect the terms in 19*j**2 - 39*j**2 + 6*j**2. -14*j**2 Collect the terms in -833 - 2*b + 833 - b. -3*b Collect the terms in 69*g**3 + 72*g**3 + 73*g**3 + 66*g**3 - 281*g**3. -g**3 Collect the terms in 10*o**2 - 25*o**2 + 4*o**2 + 8*o**2. -3*o**2 Collect the terms in -8 + 9 + 4*c - 1. 4*c Collect the terms in -l + 0*l + 2*l - 29. l - 29 Collect the terms in 10 - 5 + 3*y**3 - 5. 3*y**3 Collect the terms in 281 - 281 + 14*q**3 + 2*q**3. 16*q**3 Collect the terms in 6*y - 4*y + 0*y + 6*y. 8*y Collect the terms in 2*b**2 + 7*b**2 - 3*b**2 - 3*b**2. 3*b**2 Collect the terms in -79*k + 6*k - 30*k. -103*k Collect the terms in 3*c**2 + c**2 - 8*c**2. -4*c**2 Collect the terms in -252*r + 520*r - 265*r. 3*r Collect the terms in 6*d**3 + 18*d**3 - d**2 + 15*d**3. 39*d**3 - d**2 Collect the terms in -2260*a - 2252*a + 9019*a - 2252*a - 2253*a. 2*a Collect the terms in 118*p**3 + 11*p - 10*p + 13*p. 118*p**3 + 14*p Collect the terms in -4*u**2 + 5*u**2 + 8*u**2 - 7*u**2. 2*u**2 Collect the terms in 4*h + 14*h**2 - h**2 - 12*h + 8*h. 13*h**2 Collect the terms in 7*v**2 + 7*v**2 - 15*v**2. -v**2 Collect the terms in 73*l - 29*l - 46*l. -2*l Collect the terms in -7*c**2 + 2244*c - 2244*c. -7*c**2 Collect the terms in 11*r**3 - r**2 - 15*r**3 - 3*r**2 + 13*r**3. 9*r**3 - 4*r**2 Collect the terms in -16*u**2 - 42*u**2 + 9*u**2. -49*u**2 Collect the terms in 0 + 29*m**2 - 27*m**2 + 33. 2*m**2 + 33 Collect the terms in 2*d**2 + 12*d**2 - 26*d**2 + 3*d**2 + 7*d**2. -2*d**2 Collect the terms in -3*j + 7*j + 2*j**2 + 10*j - 2*j. 2*j**2 + 12*j Collect the terms in -2*b**3 - 161*b - 20*b + 8*b + 0*b**3. -2*b**3 - 173*b Collect the terms in 0*w + 0 - 7*w + 0 - 2*w**2. -2*w**2 - 7*w Collect the terms in 90 - 22*t - 90. -22*t Collect the terms in -2*d**2 + 1819 - 1819. -2*d**2 Collect the terms in 107*r**3 + 147*r**3 + 5*r**3 - 28*r**3. 231*r**3 Collect the terms in 4*w**3 + w**3 - 6*w**3 + 2*w**3. w**3 Collect the terms in -5*n**2 + 17*n**2 + 7 - 13*n**2. -n**2 + 7 Collect the terms in -47*f**3 + 3*f**3 + 20*f**2 - 20*f**2. -44*f**3 Collect the terms in 36 - 3*n**2 + n**3 + 0*n**3 + 3*n**2. n**3 + 36 Collect the terms in 88*w**2 + 83*w**2 - 186*w**2. -15*w**2 Collect the terms in 80*l**2 - 145*l**2 + 63*l**2. -2*l**2 Collect the terms in -250*j**3 + 553*j**3 + 628*j**3. 931*j**3 Collect the terms in 27*f**3 + 9*f**3 - 22 + 21 + 28*f**3. 64*f**3 - 1 Collect the terms in 26*t**2 - 70*t**2 + 26*t**2 + 22*t**2. 4*t**2 Collect the terms in 0 + 4 - 1 - 55*t. -55*t + 3 Collect the terms in 43*z**3 - 129*z**3 + 87*z**3. z**3 Collect the terms in 5*f + 2348 - 2348 - 4*f - 2*f. -f Collect the terms in 321 - 633 - 6*g**3 + 312. -6*g**3 Collect the terms in 3*u**3 - 4*u**3 + u**3 - u**3. -u**3 Collect the terms in 7*o - 14*o - 57*o**3 + 7*
{ "pile_set_name": "DM Mathematics" }
- 1775 = 3*z, -1207 = 4*x - 5*z - 4762. What is the remainder when x is divided by 28? 27 Let h = 122 + -51. What is the remainder when h is divided by 24? 23 Let c = 20 - -3. Let o(s) = -s**3 - 1. Let m(b) = 7*b**3 - 6*b**2 + b + 18. Let j(q) = -m(q) - 6*o(q). What is the remainder when c is divided by j(5)? 7 Suppose -6*g + 3*g - 48 = -4*p, -4*p + 5*g + 48 = 0. Calculate the remainder when 23 is divided by p + 10/(-4)*12/(-30). 10 Suppose -44*q + 46*q - 1587 = -5*d, 3*d - 2*q = 965. Calculate the remainder when d is divided by 81. 76 Let i = -51 - -56. Let f(s) = s**3 + 2*s**2 - 6*s + 3. Calculate the remainder when f(i) is divided by 30. 28 Let j(x) = 16*x + 2. Calculate the remainder when j(2) is divided by 24. 10 Suppose -42 = -t - 25. Calculate the remainder when 228 is divided by t. 7 Let h(g) = 2*g - 3. Let k be h(4). Let i = 10 - k. Suppose i*f + 4*r - 100 = -0*f, 3*f - r = 43. What is the remainder when 47 is divided by f? 15 Let v(j) = j**3 - 7*j**2 + 13*j - 3. Let t = 1 + 5. Let r be v(t). Let n = 108 - r. What is the remainder when n is divided by 35? 34 Let b = 121 + -114. Let x = 13 - -19. Calculate the remainder when x is divided by b. 4 Let i(m) = m**3 + 21*m**2 - 2*m - 22. What is the remainder when 12/(-8)*-2*79/3 is divided by i(-21)? 19 Suppose 104*a - 109*a + 20 = 0. Suppose -a*l - 9 = -5*l. What is the remainder when 24 is divided by l? 6 Calculate the remainder when 15750/147 - 32/28 is divided by 66. 40 Let x = 1481 - 1418. What is the remainder when x is divided by 37? 26 Let k = 34 - 27. Suppose -k*i + 79 = -12. Calculate the remainder when 23 is divided by i. 10 Calculate the remainder when 488 is divided by 286/8 - 3/4. 33 Suppose -4*r - 200 = -14*r. What is the remainder when r is divided by 7? 6 Let h = 30 - 26. Let y = -8 - -15. What is the remainder when y is divided by h? 3 Suppose 0 = 2*c - m - 50, 2*c - 4*m - 41 = 3. Suppose -4*t + 16 = 4*d - 2*d, -5*d = 2*t - 64. Calculate the remainder when c is divided by d. 12 Suppose 0 = 2*n + n - 96. Let r = -29 + n. What is the remainder when 161/r - (-7)/21 is divided by 19? 16 Let t be 36/(-45)*(-1990)/(-4). Let u be 8/16 - t/4. Suppose 7*o = 2*o + u. What is the remainder when 39 is divided by o? 19 Let s(i) = 4*i**2 - i. Let v be s(-1). Suppose -4*r = -v*r - 360. Calculate the remainder when 31 is divided by r/(-32) + (-1)/4. 9 Suppose 2*c + 8 = 0, d = -3*d + c + 32. Calculate the remainder when 45 is divided by d. 3 Suppose 10*w = -5114 + 19594. Calculate the remainder when w is divided by 5. 3 Suppose -4*h = -3*h + 2*j - 4, -2*h + 4*j = -40. Suppose -2*b = -5*w + 133 - 14, 0 = 5*w + 3*b - 109. Calculate the remainder when w is divided by h. 11 Suppose 14 + 2 = 2*r. Suppose 0 = -0*g - 4*g + r. Suppose -4*b - b = g*f - 75, -5*b + 45 = -4*f. What is the remainder when 51 is divided by b? 12 Suppose 4*v - 11100 = -v - 5*g, 3*v - 5*g = 6660. What is the remainder when v is divided by 101? 99 Let o(n) = 93*n**2 - 2*n - 1. What is the remainder when o(-1) is divided by (1 + (-9 - 0))*(-39 + 37)? 14 Let q = 2543 + -2455. Calculate the remainder when q is divided by 23. 19 Let x = 64 - 32. Let t = x - 11. What is the remainder when 61 is divided by t? 19 Suppose 6*h = h. Suppose 3 = -3*q - 12, -3*r + 2*q + 25 = h. Suppose r + 11 = j. Calculate the remainder when j is divided by 5. 1 Let j(r) = 42*r**2 + r + 1. Let w = -32 + 31. Calculate the remainder when j(w) is divided by 11. 9 Suppose 0 = 107*i - 110*i + 39. Calculate the remainder when 2129 is divided by i. 10 Let f(g) = -5*g - 9. Suppose 16*x + 54 = -10. What is the remainder when 106 is divided by f(x)? 7 Let k = -35 + 60. Let u = -23 + k. Suppose 0 = -u*a + 5*a - 66. What is the remainder when a is divided by 8? 6 Let j = -37 + 40. Let t(b) = 13*b - 1. Let f = 14 + -1. What is the remainder when t(j) is divided by f? 12 Suppose -4*x + 42 = -4*b + 5*b, 0 = 5*b + 4*x - 162. What is the remainder when 46 is divided by b? 16 Suppose -r - 5 = -4. Let x(a) = 4*a**2 - 1. Calculate the remainder when 15 is divided by x(r). 0 Let k(z) be the third derivative of 17*z**4/12 - z**3/3 + 7*z**2. Calculate the remainder when k(1) is divided by 11. 10 Let r(l) = l**2 + 2*l + 3. What is the remainder when 10 - (-30)/(-5) - (11 - 31) is divided by r(-4)? 2 Let r = 1111 + -1081. What is the remainder when r is divided by 16? 14 Suppose -5*s - 18 - 12 = 0. Let m be (-1)/(19/s + 3). Suppose m = -a + 29. What is the remainder when a is divided by 8? 7 Suppose 0 = -0*k + 4*k - 2*r - 54, -3*r = -3. Let m(s) = -11*s + 41. What is the remainder when m(0) is divided by k? 13 What is the remainder when 8 is divided by 20/(12 - (-76)/(-8))? 0 Suppose 5*p - 4*p = 0. Suppose -5*q = -25, -3*q = 2*s - 4*q + 9. What is the remainder when s - (0 - 33) - p is divided by 11? 9 Let q = -6 + 54. Calculate the remainder when 285 is divided by q. 45 Suppose k = 11*k - 90. Calculate the remainder when 4/(19/17 + -1) is divided by k. 7 Suppose t + 25 = 118. What is the remainder when 284 is divided by t? 5 Let j(t) = 37*t**3 - t**2 + 4*t - 2. Let f be j(1). Suppose z = 2*z + 27. Let o = z + f. What is the remainder when 32 is divided by o? 10 Let l = 0 - -66. Let u(y) = -10*y - 5. Let j be u(-7). Suppose -3*f - 7 = -t - 78, -3*f = 2*t - j. Calculate the remainder when l is divided by f. 20 What is the remainder when 260/(-78)*(-38 - 1) is divided by 38? 16 Let t(k) be the first derivative of k**4/4 + 2*k**3 - 3*k**2/2 + 5*k - 1. What is the remainder when 3/(-3) - 11/((-44)/268) is divided by t(-6)? 20 Suppose -5*z - 97 = -4*b, 4*b - 4*z = -0*z + 92. Let u(k) = -k**2 + 7*k + 8. What is the remainder when u(6) is divided by 156/b + -3 + 2/6? 2 What is the remainder when (0 - -1)/((-605)/(-151) + -4) is divided by 76? 75 Let y(d) = -d**3 + 6*d**2 - 23*d + 166. Calculate the remainder when 102 is divided by y(6). 18 Let u be 2/((-9)/18 - 2/(-8)). What is the remainder when u/((-4)/(-114)*-3) is divided by 40? 36 Let q(n) = 17*n - 5*n**2 - 8 + 4*n**2 - 5*n. Let j = -3 - -12. What is the remainder when q(j) is divided by 11? 8 Let l(q) = 2*q**2 + 23*q + 25. Let c be (-7 + 1)*64/(-6). Suppose -2*k - c = -3*a, -5*k + 19 + 31 = 3*a. What is the remainder when l(-12) is divided by a? 17 Suppose -67*l + 25 = -62*l. Let r = 31 - 18. Suppose 12 = -3*s, r + 18 = 3*o - s. What is the remainder when o is divided by l? 4 Suppose 5*o - o = 32. Let r be (354/8)/((-1)/o). What is the remainder when r/(-10) - (-6)/(-15) is divided by 18? 17 Suppose 53 = 2*q + 3*f - 10, f = -4*q + 131. Suppose 7424 = -4*i + 62*i. Calculate the remainder when i is divided by q. 29 What is the remainder when (1 + -185)*((-10)/(-4))/(-5) is divided by 41? 10 Suppose -46*n = -51*n - 360. Calculate the remainder when 28 is divided by (-16)/n + (-426)/(-27). 12 Let v(p) = -p**3 - 22*p**2 + 25*p + 52. Let u = 6 + -2. Calculate the remainder when (-573)/(-27) - u/18 is divided by v(-23). 3 What is the remainder when (-20)/(-15) - 352/(-6) is divided by 14? 4 Suppose -13*i + 10 = -55. Suppose -19 = -4*b + 3*b. What is the remainder when b is divided by i? 4 Let w be -3*-5*1/3. Suppose -7*b - 82 = -t - 6*b, 5*t = -w*b + 420. What is the remainder when t is divided by 43? 40 Suppose -234 - 46 = -4*x. Let w(n) = n**2 + 9*n - 10. Let q(s) = -4*s**2 + 6*s + 7. Let p be q(3). Calculate the remainder when x is divided by w(p). 10 Calculate the remainder when 46 is divided by 366/27 + 80/180. 4 Calculate the remainder when 177 is divided by 64/80 + (-648)/(-15) + -1. 5 Suppose -5*v = -4*n - n - 260, 0 = -n - 4. Calculate the remainder when 82 is divided by v. 34 Let j(w) = -91*w - 4727. Suppose -4*y - 17 = -133. What is the remainder when y is divided by j(-52)? 4 Calculate the remainder when 14*10*(33 - 32) is divided by 29. 24 Let w(r) = -r**3 + 10*r**2 - 17*r + 11. Let a be w(8). Suppose -3*i + 4*p = 5*p - 259, 5*p = -a*i + 275. What is the remainder when i is divided by 33? 19 Calculate the remainder when 387 is divided by (-22)/(-12) - -3 - (-5)/30. 2 Let g(i) = 6*i**2 + 35*i - 29. Let j(o) = o**2 + 7*o - 6. Let m(p) = -2*g(p) + 11*j(p). Suppose -b + 11 = -0. What is the remainder when b is divided by m(3)? 3 Let i(g) = -g + 1. Let u(j) = 10*j + 72. Let s(r) = 6*i(r) + u(r). Suppose 0 = d + d - 54.
{ "pile_set_name": "DM Mathematics" }
5*g + 40 = -l*w. Solve a + c - g = -0*c, 2*a - 4 = c for a. 3 Let w = -309 - -320. Solve 32*r = -o + 35*r - 8, -5*o + w = 2*r for o. 1 Suppose 0 = -2*q + u + 4, -24 = -q - 3*q - 2*u. Solve 8*c - q*c - 22 = 5*s, s = c - 5 for c. 3 Let p(r) = -r**3 + r**2 + 49*r - 46. Let w be p(7). Solve -3*i + 2*a + 6 + w = 0, -2*a - 8 = -2*i for i. 1 Suppose 156 = 219*v - 702 - 18. Solve -v*u - 3*c + 28 = 0, 4*u - 15 = -c + 5 for u. 4 Let l = -76 + -86. Let o be l/(-243) + (0 - 40/(-3)). Solve -3*q + 5 = -0*q + 4*z, 0 = 3*q - 5*z - o for q. 3 Suppose -2*h - 2 = 2. Let u be h/((-4)/10) - 4/4. Suppose -f = u*f - 35. Solve 2*z = 8, -z + 2 = p - f for p. 5 Let g = 6458 + -6442. Solve 3*q - 21 = -3*x, 18*q - g*q = 3*x - 11 for x. 5 Let m(i) = -i**2 - 4*i. Let l be m(-4). Suppose l = -2*x + 12. Suppose 0 = -d + x*d - 5. Solve -24 = 4*g - 2*y, g + 2*y - d = -y for g. -5 Suppose 4*y - 25 = -y. Let n be ((-9)/3 + 11 - -1)*20. Suppose 13*l + 32*l - n = 0. Solve -l*m = -2*m - 4*p - 14, -y*p - 13 = -m for m. 3 Let g be 9*((-248)/18 + 14). Solve 0 = -3*i - 0*i - 3*n - 12, -g*n = -5*i - 6 for i. -2 Let m(k) = k**2 - 3*k - 6. Let t be m(5). Let z(i) = 3*i + 11. Suppose 13*v + 46 = 85. Let f be z(v). Solve d - 3*y - 23 = 3*d, t*y = -f for d. -4 Let k = -906 - -908. Let o = -58 + 61. Solve z - 4 = -k*t - 13, -o*z = t + 2 for z. 1 Let o be ((-30)/105)/((-2)/77) - -8. Solve -4*s - 5*a - 9 = 26, 2*s = -3*a - o for s. -5 Suppose -5*a = 301*p - 306*p - 30, 5*p = -15. Solve a*g + 2*c - 6*c = 17, 4*g = c + 1 for g. -1 Suppose -147 = 11*j - 60*j. Solve -5*y + 2*t = 54 - 48, 2*y = -j*t + 9 for y. 0 Suppose -2*f - 34 = h, 0 = h - 3*f + 4*f + 30. Let w = 29 + h. Solve -y = -2*y + 4*z - 19, -w*z = 4*y for y. -3 Let n be (-28)/(-6)*(-1 + 44/11). Let y(h) = -6*h + 86. Let u be y(n). Solve 2*r + u = 0, 3*v = v - r - 5 for v. -2 Let f(y) = -y**3 + 19*y**2 + 50*y - 596. Let s be f(20). Solve -3*m + 9 = -s*k + 7*k, 4*m - k = 22 for m. 5 Suppose -i = 3*h - 20, 12 = 3*h - 2*h - 5*i. Suppose 0*t + 3*z = 3*t + 6, 4*t + 4*z = 32. Let j = 4 - 1. Solve -t*c = 5*g + 18, c + c - j*g - h = 0 for c. -1 Let o(t) = 2*t - 10. Let p be o(5). Suppose 10 + p = 5*x. Suppose 6 = 2*v - 3*f + x, v - 2 = f. Solve q - v*u - 3 = 0, 4*q - 4*u - 2 = -6 for q. -5 Let c be (-4000)/(-750) + (-2)/6. Solve m = -d + 1, -2*d + 3 = -c*d for m. 2 Suppose 3 = -3*c - 3, 3*j - 2*c = 13. Suppose j*a - 62 + 107 = 0. Let y be (2 + 25/a)*6. Solve -3*o = -2*b - y*b + 6, 1 = -o + b for o. 2 Suppose 4*f = 4*r - 964, r + f = -3*r + 969. Let y = -238 + r. Solve i = y*h + 20, -2*i = 5*h - 0*i + 12 for h. -4 Let p = -29345 + 29350. Solve -15 = 5*c - p*h, -4*h + 124 = 5*c + 103 for c. 1 Let k(q) = 3*q + 2. Let j be k(-2). Let m be 38/8 - j/16. Suppose -3*h - 11 = -m*l, 5 = h + 2. Solve -3*u - p = 5, 0 = -l*p + 3 + 1 for u. -2 Let s(w) = 6*w**2 + 390*w - 396. Let o be s(-66). Solve 2 = m - 3*j, o = 15*m - 20*m - j - 22 for m. -4 Let y(q) = 31*q + 376. Let m be y(-12). Solve -27*s + 8 = 5*u - 23*s, -u = -2*s + m for u. 0 Suppose -194*p = -12*p - 182. Solve -2*i = -4*a + 18, -2 = -a - i + p for a. 4 Let l = 2148 + -2145. Solve -4*q - 2*n = -l*n + 7, 4*n = -q + 11 for q. -1 Let j = 387 + -308. Suppose 6*l + 79 = j. Solve -22 = -4*g + 2*d - l*d, g + 17 = -4*d for g. 3 Let s = -269 - -270. Let x(t) = 12*t - 8. Let h be x(s). Solve -g + h = -3*f, -5*g - 3*f - 16 = -0*g for g. -2 Let u = -1337 - -1881. Suppose 0 = -u*r + 539*r. Let w = 21 - 2. Solve -5*l + w = 4*q, r*q - q - 5 = -2*l for l. 3 Let f be (33/(-45) - 6/(-15))*0. Suppose f = 6*t - 3*t - 15. Suppose -5*x - 5*j = 15, -3*j = -t*x - 5*j. Solve -4*d + 6 = -2*g, 0 = -x*g + d + d for g. 3 Let f = -178 + 183. Let q be (-4)/(4/3) + f. Solve 0 = 5*p - 0*z + 4*z + 28, -8 = 3*p - q*z for p. -4 Let w = 1169 - 1153. Solve -i + 5*n = -w, -2*i + 0*n + 2*n + 16 = 0 for i. 6 Suppose -2*c - 5*k + 201 = 0, -15*k + 102 = c - 13*k. Solve 14 = -4*v + c*d - 110*d, 4*d + 3 = -3*v for v. -5 Let m = -73 - -181. Suppose 107*t + 4 = m*t. Solve -f = f + 4*u - 10, -3*u + 5 = t*f for f. -1 Suppose -2*k + 36 = 4*g, k = -4*g + 9*g - 10. Solve 0 = 5*d + 3*o - 6*o - 30, -2*o = k for d. 3 Let x be (-22)/8 - ((-171)/36 + 5). Let v be x/(-2) - 28/(-8). Solve -z + 4 = 4*n, -v*n + 2*n - 2*z = -8 for n. 0 Suppose -2*n = -5*a + 236, -2*n - 2*n = -5*a + 482. Let o = n + 176. Let d = 54 - o. Solve -f - c = -2 + d, -19 = f - 4*c for f. -3 Let h(f) = f + 59. Let p be h(-18). Suppose 79 = 4*m - 5*a, 4*a + 35 + p = 4*m. Solve -m = -3*k + 5*l, 7 = 4*k - 5*l - 6 for k. -3 Let k(b) = 14*b + 303. Let t(m) = 26*m + 611. Let q(a) = 7*k(a) - 3*t(a). Let w be q(-14). Solve 0 = -u + 4*g + 12 + w, -4*u - 5*g = 25 for u. 0 Let i = -62 + -12. Let u = i + 85. Suppose 2 = -o, 4*f - o - u = f. Solve -2*k + f = y, 0 = 2*k - 5*k for y. 3 Let t be 5 - 9 - 29/(-1). Suppose 0 = 4*v - 4*f - 84, t = -4*v + 3*f + 106. Solve v = 5*r + 4*u, 2*r - 4 = 5*r - 5*u for r. 2 Suppose 122*q = -382*q. Solve -4*d - 4*c = 15 - 7, -d - 2*c = q for d. -4 Let j be 7 - (55/22)/(1/2). Suppose -3*t + 5 = -2*u, j*u = -19*t + 24*t - 15. Solve 4*y - 4*w + 7 = 23, 0 = -u*w - 5 for y. 3 Let o = 746 + -746. Solve -4*c - 2*d + 22 = o, -9*c + 7*c = -3*d + 9 for c. 3 Let p be (-60)/(-105)*7*(-3)/(-2). Solve 4*r - 16 = 4*o + p*r, 0 = 3*o + 4*r + 17 for o. -3 Suppose 3*a - v - 12 = 0, 17*a - 13*a - v = 16. Solve a*x + 0*j + 12 = -2*j, 2 = 4*x - 5*j for x. -2 Let a be (-6 - -8)*(-12 - (-7 - 6)). Solve 3*o = 2*q + 1, 0 = a*o + 38*q - 41*q + 1 for o. 1 Suppose 4*f - v + 1 = 14, -2*f = -v - 5. Solve -f*r + 8 = 0, -4 = -4*s - 3*r - 2 for s. -1 Let x = 52 - 46. Let d = -6 - x. Let o = d + 15. Solve 2*k - 8 = -4*s + 4, -9 = -o*s + 5*k for s. 3 Let w(r) = -18*r + 289. Let y be w(-23). Let n = y + -700. Solve -3*z = 4*b + 1 - 2, b + n*z + 11 = 0 for b. 4 Let s = 15150 + -15117. Solve -u = 0, s - 3 = 5*d - 4*u for d. 6 Suppose 15*h + 328 = 358. Suppose -4*w + 46 = -2*b, 4*b + 4*w = -81 - 23. Let z = -21 - b. Solve -3*n - n - 10 = -h*s, z*n = -16 for s. -3 Let g(p) = -46*p - 168. Let d be g(-9). Let x = -236 + d. Solve -x = -4*t - h, 0 = -2*t + 4*t - 5*h + 6 for t. 2 Let t(k) be the third derivative of k**5/30 - 7*k**4/4 + 27*k**3 - 12*k**2 + 5. Let n be t(16). Solve -n = 4*d - 5*a, 0*d - 2*a - 1 = -d for d. -3 Let n = 6920 + -6916. Solve 4*x - 20 = -n*j, -2*x = -5*j - 0*x + 32 for j. 6 Suppose -a = 5*z + a - 1404, 5*z - 5*a = 1390. Let c be (-18)/(-7) - (-5)/(z/24). Solve c*w - 4*w = 2*r - 3, 4*w - 12 = -5*r for r. 0 Suppose -842 = -22*x - 138. Solve -b + 3*k + 1 = 0, x*k = 2*b + 27*k - 1 for b. -2 Let g(f) = 35*f + 212. Let y be g(-6). Solve 6*k + 10 = y*k + 3*a, -4*k - 4*a = -4 for k. -1 Suppose 0 = j + z + 1, -4*j - 20 = z - 5*z. Let p be -32 + 6*2/j. Let x = -29 - p. Solve 0 = -4*a - t + x, -3*a - t - 3 = -3*t for a. 1 Let i(x) = -6997*x**3 + 6996*x**3 + 0*x - 4*x**2 - 12 - 7*x. Let h be i(-4). Solve -h = -3*t + 5*s, -2*s + 6*s + 8 = 4*t for t. -3 Let y be 2*13/16 + 339/904. Suppose -a = 4*a. Let k = a - 0. Solve k = 3*o - 5*w - 14, y*o + 2*w - 6 + 2 = 0 for o. 3 Suppose 14*u + 12 = 17*u. Let d = u + -2. Solve -3*l - d = -2*x, x + 3*l = -4*x - 16 for x. -2 Let a(m) = m**3 + 33*m**2 - 34*m + 23. Let j be a(-34). Suppose -j*v = -20*v - 36. Solve h - 4*f + v = 2, -2*f = -h - 4 for h. 2 Suppose -n + 2232 = -9*n. Let j = 279 + n. Solve 2*c + 9 = -5*z, 2*z - 5*c = -j*c + 8 for z. -1 Suppose 26 = 1424*x - 1411*x. Solve -5 = -11*q + 10*q - 2*b, -x*b = -2 for q. 3 Suppose 0 = 148*z - 155*z + 6 + 8. Solve -17*s = -4*y - 19*s + 4, -11 = -y + z*s for y. 3 Suppose 0 = -127*r + 123*r + 8. Solve -19 = -3*z + 5*p, 2*z - r*p - 10 = -0*z for z. 3 Let v be (22 - 18)*3/4. Let z = 34 - 24. Solve -g - 8 = v*g - 4*x, 5*x - z = -3*g for g. 0 Let g(t) = -325*t**3 + 10 + t - 334*t**3 + 660*t**3 + 7*t**2. Let x be g(-7). Suppose 0 = -d, -x*m - 2*d + 0 = -6. Solve 3*k - q - 13 = 0, m*q + 5 = 3 for k. 4 Let o(r) = 46*r + 141. Let p be o(-3). Solve 3*f = 3, -25*s + 26*s = -p*f - 2 for s. -5 Let m be 24/456 + 74/38. Solve 0 = -y + m*d - 9, -18*d = 4*y - 21*d + 26 for y. -5 Suppose 172 = 1179*n - 1136*n. Solve -5*b + 5 + 15 = -5*s, 2*s - n*b + 10 = 0 for s. -3 Let k = 373 + -371. Suppose 12 = -4*d, 2*d + 10 = 4*u - k*u. Solve 4*f + 2*j - 8 = 0, -u*j + 4 = -f - 4*j for f. 4 Let i(h) = -h**3 + h**2 + 7*h + 2. Let q be i(3)
{ "pile_set_name": "DM Mathematics" }
6 b What is -1 (base 8) in base 2? -1 Convert 13 (base 7) to base 4. 22 Convert -442 (base 7) to base 8. -342 Convert 1 (base 4) to base 14. 1 -d9 (base 14) to base 6 -515 What is -14 (base 16) in base 8? -24 What is 33 (base 4) in base 11? 14 331 (base 6) to base 2 1111111 2 (base 5) to base 8 2 Convert -3 (base 11) to base 3. -10 What is -4 (base 10) in base 14? -4 Convert 2 (base 8) to base 4. 2 0 (base 14) to base 12 0 What is 4 (base 6) in base 5? 4 What is b6 (base 15) in base 3? 20100 What is 1 (base 2) in base 7? 1 What is -15 (base 15) in base 12? -18 -333 (base 4) to base 13 -4b What is 103 (base 10) in base 5? 403 10001 (base 2) to base 14 13 What is -206 (base 10) in base 3? -21122 Convert 63 (base 8) to base 15. 36 -8 (base 9) to base 11 -8 Convert -18 (base 10) to base 4. -102 What is 10101 (base 2) in base 9? 23 What is 535 (base 6) in base 9? 245 Convert -20 (base 12) to base 8. -30 What is 16 (base 16) in base 2? 10110 -7 (base 14) to base 6 -11 Convert 2 (base 15) to base 16. 2 1145 (base 6) to base 16 119 What is 4 (base 13) in base 10? 4 59 (base 15) to base 6 220 Convert -127 (base 9) to base 2. -1101010 -8 (base 16) to base 12 -8 Convert 4 (base 16) to base 9. 4 -5 (base 11) to base 2 -101 What is 33 (base 4) in base 3? 120 Convert -6 (base 12) to base 16. -6 -11011001 (base 2) to base 6 -1001 Convert 2 (base 8) to base 7. 2 Convert -3 (base 8) to base 15. -3 What is -233 (base 5) in base 14? -4c What is 0 (base 12) in base 16? 0 Convert -10100 (base 2) to base 6. -32 -5e (base 16) to base 15 -64 What is 4 (base 16) in base 7? 4 Convert 11112 (base 3) to base 10. 122 What is 55 (base 7) in base 6? 104 What is -2 (base 13) in base 8? -2 111 (base 5) to base 6 51 Convert 2b (base 12) to base 13. 29 -12 (base 3) to base 13 -5 -32 (base 13) to base 3 -1112 What is -86 (base 10) in base 16? -56 -2222 (base 3) to base 10 -80 Convert -4 (base 14) to base 4. -10 What is 30 (base 8) in base 12? 20 Convert -16 (base 10) to base 14. -12 -32 (base 6) to base 2 -10100 Convert 22 (base 12) to base 13. 20 Convert -13 (base 4) to base 16. -7 What is -3 (base 8) in base 10? -3 What is -1100001 (base 2) in base 6? -241 0 (base 3) to base 13 0 Convert 0 (base 4) to base 16. 0 7 (base 12) to base 8 7 Convert -3 (base 7) to base 15. -3 1 (base 10) to base 4 1 Convert 0 (base 4) to base 7. 0 Convert 15 (base 16) to base 14. 17 Convert 4 (base 15) to base 14. 4 What is -212 (base 3) in base 11? -21 What is 4 (base 10) in base 3? 11 -20 (base 10) to base 5 -40 -102 (base 4) to base 11 -17 What is 12 (base 11) in base 2? 1101 7 (base 13) to base 10 7 1 (base 7) to base 11 1 What is -10111101 (base 2) in base 5? -1224 What is c (base 15) in base 8? 14 -1 (base 10) to base 5 -1 -210 (base 4) to base 12 -30 1 (base 7) to base 3 1 Convert 16 (base 14) to base 5. 40 Convert -12 (base 15) to base 11. -16 21 (base 4) to base 7 12 11010 (base 2) to base 3 222 2 (base 10) to base 8 2 -ca (base 16) to base 13 -127 What is 2 (base 4) in base 11? 2 What is -2 (base 8) in base 16? -2 Convert 11 (base 9) to base 8. 12 What is -1 (base 16) in base 10? -1 What is 6 (base 10) in base 13? 6 Convert -21 (base 4) to base 15. -9 Convert -8 (base 11) to base 9. -8 aa (base 13) to base 12 b8 40 (base 10) to base 3 1111 Convert 5 (base 14) to base 4. 11 What is 68 (base 13) in base 5? 321 11 (base 10) to base 2 1011 Convert 2 (base 4) to base 11. 2 Convert 10111 (base 2) to base 3. 212 3 (base 14) to base 15 3 8 (base 16) to base 15 8 What is -1 (base 13) in base 8? -1 What is 1 (base 11) in base 3? 1 What is -1 (base 5) in base 3? -1 What is -11 (base 14) in base 11? -14 Convert -86 (base 12) to base 8. -146 -b (base 13) to base 15 -b Convert -1 (base 9) to base 13. -1 What is 13 (base 6) in base 14? 9 What is 1 (base 7) in base 10? 1 5 (base 16) to base 12 5 What is 220 (base 3) in base 15? 19 Convert cd (base 16) to base 15. da What is 10 (base 7) in base 6? 11 What is 6 (base 9) in base 7? 6 c (base 16) to base 10 12 What is 11 (base 3) in base 9? 4 What is 13 (base 16) in base 7? 25 Convert 5 (base 15) to base 2. 101 What is -1 (base 16) in base 5? -1 Convert 4 (base 9) to base 4. 10 What is -110 (base 4) in base 14? -16 Convert -11 (base 6) to base 13. -7 Convert 2 (base 14) to base 9. 2 c (base 13) to base 6 20 What is -18 (base 10) in base 8? -22 -3 (base 5) to base 14 -3 What is -13 (base 6) in base 3? -100 -1 (base 12) to base 5 -1 What is 1000000 (base 2) in base 10? 64 Convert 2 (base 12) to base 2. 10 What is 122 (base 11) in base 12? 101 2 (base 16) to base 11 2 Convert 1 (base 6) to base 9. 1 Convert 2 (base 8) to base 5. 2 What is -202 (base 4) in base 13? -28 -7e (base 16) to base 14 -90 3 (base 14) to base 12 3 8 (base 10) to base 3 22 Convert -1 (base 5) to base 7. -1 -3 (base 8) to base 4 -3 What is -1 (base 10) in base 14? -1 Convert 24 (base 10) to base 13. 1b Convert 5 (base 12) to base 10. 5 What is 39 (base 16) in base 5? 212 What is 1b (base 16) in base 6? 43 What is 3 (base 8) in base 12? 3 What is 0 (base 8) in base 9? 0 Convert -5 (base 6) to base 11. -5 Convert 10100 (base 2) to base 15. 15 Convert 1 (base 12) to base 11. 1 What is -205 (base 7) in base 4? -1213 Convert -110001 (base 2) to base 15. -34 What is 205 (base 6) in base 8? 115 Convert -35 (base 14) to base 13. -38 Convert 10 (base 2) to base 12. 2 What is -20 (base 13) in base 6? -42 -15 (base 7) to base 8 -14 -25 (base 11) to base 13 -21 -63 (base 14) to base 12 -73 Convert 19 (base 11) to base 7. 26 Convert -2 (base 16) to base 11. -2 -128 (base 12) to base 13 -107 What is -32 (base 5) in base 15? -12 What is -49 (base 10) in base 4? -301 What is 1010 (base 3) in base 5? 110 What is -1 (base 15) in base 12? -1 Convert 94 (base 11) to base 8. 147 What is 127 (base 10) in base 4? 1333 3 (base 10) to base 3 10 Convert -22 (base 3) to base 8. -10 Convert -4 (base 12) to base 2. -100 Convert 36 (base 11) to base 10. 39 Convert -c (base 15) to base 9. -13 Convert -12 (base 4) to base 10. -6 -148 (base 12) to base 13 -125 Convert 22 (base 9) to base 11. 19 Convert 123 (base 4) to base 11. 25 -4 (base 13) to base 3 -11 What is -5 (base 9) in base 6? -5 What is -14 (base 5) in base 7? -12 -b (base 16) to base 7 -14 Convert 1 (base 7) to base 8. 1 -43 (base 6) to base 2 -11011 c (base 14) to base 16 c What is 20 (base 9) in base 14? 14 65 (base 9) to base 2 111011 What is 52 (base 10) in base 3? 1221 -232 (base 4) to base 10 -46 Convert 10101 (base 2) to base 7. 30 105 (base 6) to base 2 101001 49 (base 15) to base 2 1000101 Convert -2 (base 7) to base 5. -2 Convert -5 (base 9) to base 14. -5 -100 (base 4) to base 15 -11 43 (base 5) to base 14 19 Convert 21 (base 4) to base 8. 11 Convert -3b (base 12) to base 13. -38 a (base 12) to base 9 11 Convert -14 (base 6) to base 11. -a Convert -221 (base 7) to base 15. -78 What is -102 (base 11) in base 9? -146 Convert -5 (base 15) to base 12. -5 Convert 12 (base 14) to base 12. 14 What is -2 (base 3) in base 16? -2 Convert -21 (base 5) to base 3. -102 Convert -42 (base 15) to base 10. -62 13 (base 4) to base 11 7 -122 (base 3) to base 7 -23 What is 1012 (base 5) in base 4? 2010 Convert -13 (base 4) to base 16. -7 Convert 3 (base 11) to base 13. 3 Convert 4b (base 12) to base 14. 43 Convert -15 (base 6) to base 10. -11 What is -9 (base 14) in base 15? -9 22 (base 9) to base 10 20 Convert -11 (base 6) to base 11. -7 10 (base 4) to base 13 4 26 (base 10) to base 9 28 1001 (base 3) to base 9 31 -79 (base 14) to base 8 -153 61 (base 10) to base 3 2021 What is -11 (base 2) in base 7? -3 -82 (base 10) to base 8 -122 What is 221 (base 5) in base 2? 111101 What is 13 (base 4) in base 9? 7 Convert 0 (base 10) to base 14. 0 What is -82 (base 15) in base 14? -8a What is -5 (base 14) in base 16? -5 Convert 21 (base 6) to base 15. d What is 5 (base 11) in base 10? 5 What is 9 (base 14) in base 8? 11 Convert 160 (base 8) to base 9. 134 What is -13 (base 6) in base 9? -10 -6 (base 15) to base 2 -110 Convert 304 (base 7) to base 9. 177 What is -64 (base 13) in base 15? -57 -1 (base 14) to base 2 -1 Convert -47 (base 8) to base 5. -124 Convert -1403 (base 5) to base 15. -103 Convert 72 (base 10) to base 2. 1001000 What is -13 (base 11) in base 10? -14 Conver
{ "pile_set_name": "DM Mathematics" }
is the greatest common factor of 102 and 7914? 6 What is the greatest common divisor of 331281 and 9? 9 Calculate the highest common factor of 2761 and 1166. 11 Calculate the greatest common factor of 27460 and 60. 20 Calculate the highest common divisor of 4864 and 127072. 608 What is the greatest common factor of 495205 and 5? 5 Calculate the highest common divisor of 235290 and 6510. 930 What is the highest common divisor of 8829 and 324? 81 What is the greatest common divisor of 818 and 129653? 409 What is the highest common divisor of 219606 and 102? 102 Calculate the greatest common factor of 21078 and 522. 18 What is the greatest common factor of 5346 and 10978? 22 What is the highest common divisor of 290496 and 4806? 534 Calculate the greatest common factor of 322 and 133791. 161 What is the greatest common divisor of 60 and 632640? 60 What is the greatest common divisor of 2982 and 129504? 426 Calculate the highest common factor of 270 and 7440. 30 What is the highest common divisor of 5040 and 9352? 56 What is the highest common factor of 4407 and 2373? 339 What is the greatest common divisor of 88 and 610269? 11 What is the greatest common factor of 117 and 3440541? 39 What is the greatest common factor of 1592 and 10746? 398 What is the highest common factor of 32 and 23912? 8 Calculate the greatest common factor of 477616 and 48. 16 Calculate the greatest common divisor of 1656206 and 62. 62 What is the highest common factor of 1613736 and 54? 54 What is the highest common divisor of 13005 and 25? 5 What is the highest common factor of 154740 and 384? 12 Calculate the greatest common factor of 41412 and 19074. 102 What is the highest common factor of 366279 and 498? 249 Calculate the highest common factor of 1473489 and 909. 909 Calculate the greatest common factor of 998 and 1100794. 998 What is the greatest common divisor of 13956 and 132? 12 What is the greatest common factor of 4989 and 174? 3 Calculate the highest common factor of 291 and 16781. 97 What is the highest common factor of 733 and 1742341? 733 What is the highest common factor of 20718 and 27? 9 Calculate the highest common divisor of 232 and 194. 2 What is the highest common divisor of 10418810 and 118? 118 What is the greatest common divisor of 12 and 23524? 4 Calculate the highest common divisor of 255 and 912900. 255 Calculate the highest common divisor of 824 and 480289. 103 Calculate the highest common divisor of 1408 and 8960. 128 What is the highest common divisor of 12089056 and 464? 464 What is the highest common factor of 400 and 30440? 40 What is the highest common factor of 389324 and 52? 52 What is the greatest common factor of 5356 and 58401? 103 Calculate the greatest common factor of 9766 and 41891. 257 What is the greatest common divisor of 35 and 191205? 35 Calculate the greatest common divisor of 627 and 55005. 57 What is the greatest common factor of 368 and 40816? 16 What is the greatest common divisor of 2274488 and 8? 8 What is the greatest common divisor of 7296 and 83968? 128 What is the highest common factor of 955 and 913935? 955 What is the highest common factor of 2192 and 16988? 548 Calculate the highest common divisor of 2064 and 2785712. 688 Calculate the highest common divisor of 45186 and 3417. 51 Calculate the greatest common divisor of 43430 and 387. 43 Calculate the greatest common divisor of 36 and 217524. 12 Calculate the highest common divisor of 6736 and 248. 8 Calculate the highest common divisor of 1617 and 19371. 33 What is the greatest common divisor of 13080418 and 1534? 1534 What is the greatest common factor of 142989 and 14? 7 What is the highest common divisor of 1994 and 3418713? 997 What is the highest common factor of 9750 and 11500? 250 Calculate the highest common divisor of 52796 and 938. 134 What is the highest common divisor of 90506 and 1079? 13 Calculate the greatest common factor of 1104 and 13344. 48 Calculate the greatest common factor of 215 and 120830. 215 Calculate the greatest common factor of 33440 and 507760. 880 Calculate the highest common factor of 6183 and 171. 9 What is the highest common divisor of 450 and 822? 6 Calculate the greatest common factor of 159888 and 66. 6 What is the greatest common divisor of 54048 and 228? 12 Calculate the greatest common factor of 112 and 2107. 7 What is the greatest common divisor of 455 and 171535? 455 What is the highest common factor of 55 and 257345? 55 What is the greatest common divisor of 211792 and 992? 496 What is the greatest common factor of 104 and 19? 1 Calculate the highest common divisor of 316 and 224044. 316 What is the greatest common divisor of 543235 and 1785? 595 Calculate the greatest common factor of 861 and 966042. 861 What is the greatest common factor of 374662 and 444? 74 Calculate the highest common divisor of 1368 and 8889264. 1368 Calculate the highest common factor of 2250 and 9500. 250 Calculate the highest common divisor of 9424 and 209. 19 What is the highest common divisor of 496623 and 6? 3 Calculate the greatest common divisor of 4576 and 5984. 352 Calculate the highest common factor of 75465 and 270. 135 What is the highest common factor of 159 and 6148? 53 What is the highest common factor of 12104838 and 526? 526 Calculate the greatest common factor of 2 and 19398. 2 What is the highest common divisor of 985569 and 351? 39 What is the highest common factor of 371 and 18781? 7 What is the greatest common factor of 31449 and 891? 33 What is the highest common factor of 479457 and 29? 29 Calculate the highest common factor of 13849 and 11. 11 Calculate the greatest common factor of 1752 and 25185. 219 Calculate the highest common divisor of 2914 and 4495. 31 Calculate the greatest common divisor of 415249 and 166. 83 What is the greatest common divisor of 207 and 1467? 9 Calculate the greatest common factor of 1650597 and 26. 13 Calculate the highest common divisor of 1179 and 11016. 9 What is the greatest common divisor of 12208 and 95375? 763 Calculate the greatest common divisor of 4212 and 7587. 27 What is the highest common factor of 30 and 359895? 15 What is the greatest common divisor of 5715 and 81? 9 What is the highest common factor of 24253 and 158? 79 What is the highest common divisor of 5103 and 6291? 27 What is the highest common divisor of 26720 and 1600? 160 Calculate the highest common divisor of 60 and 373780. 20 Calculate the highest common factor of 144 and 9496. 8 What is the highest common divisor of 888 and 19869? 111 What is the highest common factor of 27 and 8399322? 27 What is the highest common divisor of 406 and 30352? 14 What is the greatest common factor of 5228 and 1308? 4 Calculate the highest common factor of 7635 and 43770. 15 What is the greatest common divisor of 36 and 6822? 18 Calculate the highest common factor of 67630 and 20. 10 What is the greatest common factor of 605351 and 655? 131 Calculate the highest common factor of 25863 and 1776. 111 Calculate the highest common divisor of 11263 and 77. 7 Calculate the greatest common divisor of 656 and 7954. 82 Calculate the highest common divisor of 45 and 69645. 15 Calculate the highest common factor of 158470 and 1326. 26 What is the greatest common divisor of 1041975 and 4725? 225 What is the highest common divisor of 962 and 117845? 481 What is the highest common divisor of 74168 and 4? 4 Calculate the greatest common divisor of 1887 and 1122. 51 What is the highest common divisor of 613236 and 13? 13 What is the highest common factor of 226 and 115034? 226 Calculate the greatest common divisor of 32535 and 405. 135 Calculate the greatest common factor of 69524 and 2366. 182 What is the highest common divisor of 467 and 1717159? 467 Calculate the highest common divisor of 819 and 1770795. 117 What is the greatest common divisor of 871912 and 292? 292 Calculate the greatest common factor of 12966368 and 64. 32 What is the greatest common factor of 110797 and 707? 101 Calculate the highest common divisor of 5777 and 2943. 109 Calculate the greatest common factor of 1356 and 2172. 12 Calculate the highest common factor of 98 and 265650. 14 What is the highest common divisor of 2128 and 11984? 112 Calculate the highest common
{ "pile_set_name": "DM Mathematics" }
(3). Let o(c) = 129*c - 36. Let f(w) = -59*w + 17. Let k(b) = 13*f(b) + 6*o(b). Let i(h) = -6*h - 4. Give d*k(x) - 5*i(x). 2*x Let l(r) = 3*r - 1. Let v(z) = 7*z - 3. Let n(p) = -43*p. Let d be n(2). Let b = d - -82. Calculate b*v(s) + 10*l(s). 2*s + 2 Let w(v) = 15*v + 117. Let j(g) = -5*g - 41. Let o(h) = 11*j(h) + 4*w(h). Let l(k) = -9*k - 33. Determine -6*l(n) - 11*o(n). -n + 11 Suppose 58*s = 35 - 93. Let f(d) = -d. Let o(k) = -8*k. Give s*o(r) + 24*f(r). -16*r Let j(x) = -2*x - 24. Let s(f) = 5*f + 48. What is 14*j(q) + 6*s(q)? 2*q - 48 Suppose -b + 74 = 5*q + b, -b - 54 = -4*q. Let u be (-1 + 26/14)*q/3. Let m(i) = 7*i**3 - 5*i + 7. Let l(s) = 6*s**3 - 4*s + 6. Give u*m(v) - 5*l(v). -2*v**3 - 2 Let y(f) = -7*f**3 + 6*f**3 + 7*f**3 - 6*f**2 + 6 + 8*f. Let u = 1 - 30. Let r = u + 26. Let w(h) = -2*h**3 + 2*h**2 - 3*h - 2. Give r*y(l) - 8*w(l). -2*l**3 + 2*l**2 - 2 Let c(j) = -j - 4. Suppose -4*i = -3*d - 2*i + 59, i - 13 = -d. Let n(x) = -2 - 11 - 3 + d. What is -c(l) - 4*n(l)? l Let i(q) = 4*q**3 + 2*q**2 + 2*q - 2. Let z(r) = -r**3 - r**2 + 1. Let w(d) = -2*d**2 + 3*d + 2. Let a(y) = w(y) - 5*z(y). Determine -4*a(o) + 6*i(o). 4*o**3 Let a(h) = h + 1. Let l(t) = 10*t**2 + 8. Calculate 8*a(x) - l(x). -10*x**2 + 8*x Let n = 2 - 8. Let k(x) = 2*x**3 + 3*x**2 - 6. Let z(r) be the second derivative of -3*r**5/10 - 3*r**4/4 + 17*r**2/2 + 421*r. Give n*z(h) - 17*k(h). 2*h**3 + 3*h**2 Let f(a) = 6*a + 1. Let m(v) = -35 - 38 + 13*v + 76. What is -9*f(j) + 4*m(j)? -2*j + 3 Let b(j) = j**2 - j - 2. Let s(q) = -4*q**2 + 4*q - 45. Determine 5*b(n) + s(n). n**2 - n - 55 Let v(k) = k**3 - k**2. Let s be 39/(-91) - (-534)/21. Suppose -c - 23 = -3*c + 5*b, 5*b = -s. Let x(g) = -6*g**3 + 5*g**2 + 2*g + 2. Give c*x(j) - 5*v(j). j**3 - 2*j - 2 Let l(r) = -2*r**2. Let h = 35 + -32. Suppose -9 = 5*m - 0*m + h*z, 2*m - 4*z = -14. Let a(w) = -3*w**2. Calculate m*a(t) + 4*l(t). t**2 Let l = -123 - -127. Let p(c) = -4*c**3 + 3*c**2 + 5*c. Let a(q) = 3*q**3 - 3*q**2 - 4*q. What is l*p(o) + 5*a(o)? -o**3 - 3*o**2 Let y(m) = 5*m**3 + 41*m**2 + 4*m. Let h(k) = -k**3 - 21*k**2 - 2*k. What is -5*h(u) - 2*y(u)? -5*u**3 + 23*u**2 + 2*u Let a(b) = 4*b + 3. Let g(j) = -13*j - 10. Let t(c) = -3*a(c) - g(c). Suppose 0*x + 16 = -4*x. Let w(q) = -3*q - 5. Calculate x*t(n) - w(n). -n + 1 Let x(h) = 2*h - 6. Suppose -8 = -2*o, -2*o + 1 = w - 9. Let t be w/20*-4 - 51/(-15). Let b(v) = -2*v + 7. Determine t*b(c) + 4*x(c). 2*c - 3 Let p(r) = 4*r - 52. Let d(a) = 3*a - 52. What is 5*d(g) - 4*p(g)? -g - 52 Let z(b) = -3*b**3 + 4*b**2 + 2*b - 4. Let j(k) = k**3 + k - 1. Give 4*j(a) - z(a). 7*a**3 - 4*a**2 + 2*a Let v(h) = -3*h + 6*h - 14 + 3*h. Let x = 429 - 421. Let p(k) = 2*k - 5. What is x*p(n) - 3*v(n)? -2*n + 2 Let h(v) = 9*v. Let a(j) = 5*j. Suppose -85*q - 3 = -86*q. Let c(y) = q*h(y) - 5*a(y). Let x(o) = -4*o. Determine -5*c(l) - 2*x(l). -2*l Suppose k + 4 = -5*v - 26, -2*k = 5*v + 35. Suppose 0*w - 2*w = -146. Let i(j) = -64*j + w*j - 3 - 2. Let q(a) = -5*a + 3. What is k*q(y) - 3*i(y)? -2*y Let y(n) = 143*n**2 + 1 - 142*n**2 + 129*n - 129*n. Let m(c) = c**2 - c - c**2 + 4*c**2. Determine m(p) - 2*y(p). 2*p**2 - p - 2 Let o(z) = -z**2 + z. Let l(a) = 160*a**2 + 25*a. What is -3*l(m) + 75*o(m)? -555*m**2 Suppose -r + 2*f = 2 + 6, f = -5*r - 51. Let n be 46/(-69) - (-2 - 5/3). Let p(m) = 2*m**3 + 4*m**n - 2*m**3. Let q(u) = 7*u**3. Determine r*p(l) + 6*q(l). 2*l**3 Let q(z) = 6*z**3 - 6*z - 8. Let r(s) = -2*s + 9. Let v be r(7). Let h(a) = 2*a**3 - 2*a - 3. Determine v*q(k) + 14*h(k). -2*k**3 + 2*k - 2 Let h(w) = w**3 - 521*w**2 + 6*w. Let o(t) = 2*t**3 - 1042*t**2 + 11*t. What is -11*h(u) + 6*o(u)? u**3 - 521*u**2 Let u(d) = -d - 7. Let h(c) = -4. Let p(w) = w**3 - 8*w**2 - 11*w + 13. Let l be p(9). Let f = 21 + -18. Determine f*u(t) + l*h(t). -3*t - 1 Let m(z) = z**3 + z**2. Let p be ((-4)/3)/((-1)/(-3)). Let b(q) = q**3 + 3*q**2. Give p*b(n) + 12*m(n). 8*n**3 Let q(z) be the first derivative of z + 0*z**2 + 4 + 1/3*z**3. Let b(g) = 8*g**2 + 6. Calculate b(x) - 6*q(x). 2*x**2 Let j(t) = -5*t - 3. Let q(k) = -2 - 9 + 9 - 3 - 4*k + 3. Determine 5*j(f) - 6*q(f). -f - 3 Let h(w) = -6*w**2 + 52*w. Let z(c) = -5*c**2 + 51*c. Determine -6*h(a) + 7*z(a). a**2 + 45*a Let x(y) = y - 5. Let c(q) = q - 4. Let i(k) = -4*k + 50. Let j be i(14). What is j*x(l) + 7*c(l)? l + 2 Suppose -16 = -5*b + 2*n, -n + 9 = 4*b - 9. Let d(q) = 5*q**2 - 17*q + 4. Let l(y) = -y**2 + 4*y - 1. Calculate b*d(v) + 18*l(v). 2*v**2 + 4*v - 2 Let k(q) = -q**2 - 5*q - 3. Suppose -30*v = -11*v - 95. Let r(t) = -2*t**2 - 6*t - 4. Determine v*k(l) - 4*r(l). 3*l**2 - l + 1 Let h(i) = -i**3 - i + 1. Let q(f) = 3*f**3 + 5*f**2 - 5*f + 13. Let t(b) = -b**3 - 3*b**2 + 4*b - 7. Let o(n) = -3*q(n) - 5*t(n). Give 5*h(a) - o(a). -a**3 + 9 Let v(l) = 2*l**3 - 6*l**2 + 67*l + 4. Let u(w) = w**3 - 4*w**2 + 68*w + 3. Give -3*u(r) + 2*v(r). r**3 - 70*r - 1 Let q(k) = -8*k**2 + 5*k - 8. Let p = 327 + -314. Let u(y) = 17*y**2 - 11*y + 17. Determine p*q(c) + 6*u(c). -2*c**2 - c - 2 Let q = 945 + -935. Let z(m) = 5*m - 2. Let h(b) = -10*b + 5. What is q*z(l) + 4*h(l)? 10*l Let u(l) = -l**2 + 2*l + 2. Let j be (-2)/12 - (-65)/30. Let v(o) = -3*o**2 + 11 + 11*o + 4*o**2 - 7*o**j. Give -11*u(q) + 2*v(q). -q**2 Let a(h) = -553*h**3 + 3*h. Let o(k) = -18250*k**3 + 100*k. Give 100*a(v) - 3*o(v). -550*v**3 Let u(q) = -5*q**3 - 15*q**2 + 6*q - 6. Let s(z) = z**3 - z**2 - z + 1. What is 6*s(m) + u(m)? m**3 - 21*m**2 Let a(o) = -11*o**2 + 4*o + 6. Suppose -414 = 25*h + 44*h. Let x(m) = -11*m**2 + 3*m + 5. What is h*x(i) + 5*a(i)? 11*i**2 + 2*i Let v(n) = 3*n**3 + 8*n**2. Let p(b) = -b**3 - 3*b**2. Suppose -3 = -h - 5*y + 2, 2 = 4*h + 2*y. Suppose -3*a - 2*a - 15 = h. What is a*v(w) - 8*p(w)? -w**3 Let h(z) = -8*z - 4. Let k(t) = 7*t + 4. Let g(v) = v**3 - 11*v**2 + 15*v + 31. Let j be g(9). Give j*h(i) + 5*k(i). 3*i + 4 Let y(r) = 4*r + r + 2*r - 5*r. Let w(b) = b. Calculate 9*w(p) - 4*y(p). p Let t(x) = 229073*x**3 + 1315*x**2 - 1315*x + 1315. Let w(k) = 523*k**3 + 3*k**2 - 3*k + 3. Give 3*t(a) - 1315*w(a). -526*a**3 Let b(h) = 2*h - 5. Let x(d) = -d + 4. Determine -3*b(c) - 4*x(c). -2*c - 1 Let i(j) = 2*j**2. Let s(v) = v**2 - 33*v + 1. Give -i(a) + s(a). -a**2 - 33*a + 1 Suppose -4*g - 51 = -5*a, 3*g = -3*a + 8*a - 47. Let v(o) = 9*o**2 - 5*o + 9. Let m(b) = 14*b**2 - 7*b + 13. Give a*v(q) - 5*m(q). -7*q**2 - 2 Let i be 896/144 + (-4)/18. Let l(s) = s**3 - s + 1. Let c(g) = 6*g**3 + 6*g - 6. What is i*l(x) + c(x)? 12*x**3 Let l(y) be the first derivative of -y + 107. Let c(q) = -3 + q + 3*q - 2*q. Let m be (-1)/3 + 21/9. What is m*l(s) - c(s)? -2*s + 1 Let r(m) = -29*m - 9. Let y(n) = -204*n - 60. What is 27*r(x) - 4*y(x)? 33*x - 3 Let u(q) = 1. Let y(r) = 4*r + 2. Let x(l) = -l. Let s(j) = -5*x(j) - y(j). Suppose m + 10 - 4 = 0. Let o be m + 7 + 2*-1. Determine o*s(f) - 4*u(f). -f - 2 Let r(t) = 6*t**3 - 6*t**2 + 4. Let k be (120/105)/((-2)/(-7)). Let g(o) = 0*o**2 + 3 - 9*o**2 + k*o**3 + 5*o**2. Give 7*g(y) - 5*r(y). -2*y**3 + 2*y**2 + 1 Let c(b) = -4*b**2 + 170*b. Let s(n) = 7*n**2 - 339*n. Give 5*c(i) + 3*s(i). i**2 - 167*i Let c(q) = -q + 8. Let z(d) = 2*d - 23. Suppose -10*a = k - 5*a - 27, 0 = 3*k + a - 53. What is k*c(x) + 6*z(x)? -5*x - 2 Let s(c) be the second derivative of 1/12*c**4 - 5*c + 0 + 3/2*c**2 + 0*c**3. Let p(m) be the first derivative of s(m). Let y(x) = 2*x. Give 2*p(b) - 3*y(b). -2*b Let m(k) be the first derivative of 23*k**3/3 + 7*k**2/2 - 7*k - 124. Let y(p) = -12*p**2 - 4*p + 4. What is 4*m(a) + 7*y(a)? 8*a**2 Let p(v) = -9*v**2 - 11*v + 1. Let i(g) = 5*g**2 + 6*g - 1. Let l(a) = 2*a**2 + 15*a + 3. Let j be l(-7). What is j*p(t) - 7*i(t)? t**2 + 2*t + 3 Let l(t) = -39*t + 197. Let q be l(5). Let j(r) = 15*r + 3. Let f(g) = -7*g - 1. Calculate q*j(s) + 5*f(s). -5*s + 1 Let f(l) be the first derivative of l**2 + 2*l + 632. Let a(i) = 3*i + 3. Calculate -6*a(s) + 10*f(s). 2*s + 2 Let k(g) = 1 - 7*g + 2 + 1. Let q(w) = 36*w - 21. Let b(z) = 3*z - 13. Let u be b(9). Let o = u - -7. Determine o*k(d) + 4*q(d). -3*d Let g(t) = -t. Let j(x) = -10*x. Suppose -5*a + 53*y + 115 = 56*y, -4*a = -2*y - 70. Give a*g(d) - j(d). -10*d Let c(b) = 175*b + 5. Let g(d) = -2538*d - 72. Calculate 72*c(m) + 5*g(m). -90*m Let s be (-4
{ "pile_set_name": "DM Mathematics" }
t -2*z**3 - 2780*z**2 + 5574*z + 8352 = 0. -1392, -1, 3 Suppose -2*y**2 - 20420*y - 244752 = 0. Calculate y. -10198, -12 Factor -c**3/5 - 83*c**2/5 + 7084*c - 14100. -(c - 150)*(c - 2)*(c + 235)/5 Suppose 2*z**3/7 - 334766*z**2/7 = 0. What is z? 0, 167383 Factor -q**2/4 - 71*q/4 - 165. -(q + 11)*(q + 60)/4 What is s in -2*s**4/5 + 902*s**3/5 - 24750*s**2 + 1082970*s - 1058400 = 0? 1, 105, 240 Solve -5*q**3 - 321160*q**2 - 963445*q - 642290 = 0 for q. -64229, -2, -1 Let -81*u**5/5 - 54639*u**4/5 - 9495472*u**3/5 - 93981276*u**2/5 + 43178592*u/5 - 4849856/5 = 0. Calculate u. -332, -11, 2/9 Factor -r**4/6 - 65*r**3/3 - 2624*r**2/3 - 11264*r. -r*(r + 32)**2*(r + 66)/6 Solve -155*h**5 + 595*h**4 + 2995*h**3 - 10275*h**2 - 15480*h + 41040 = 0 for h. -3, 57/31, 4 Find i, given that 5*i**2 + 24975*i - 49970 = 0. -4997, 2 Find q, given that -q**5/3 - 158*q**4 - 1248*q**3 - 7456*q**2/3 = 0. -466, -4, 0 Factor 2*u**2/9 - 2582*u/9 + 8540/3. 2*(u - 1281)*(u - 10)/9 Factor 5*x**3 + 1095*x**2 - 16245*x + 15145. 5*(x - 13)*(x - 1)*(x + 233) Let -5*h**3 - 161640*h**2 + 969975*h - 1455030 = 0. What is h? -32334, 3 Find o, given that 3*o**3/2 - 6174*o**2 + 74007*o/2 - 55485 = 0. 3, 4110 Suppose v**4 - 78588*v**3 - 157179*v**2 - 78590*v = 0. What is v? -1, 0, 78590 Factor -b**2 - 4985*b + 29946. -(b - 6)*(b + 4991) Find r such that 2*r**2/7 + 57450*r/7 - 24624 = 0. -28728, 3 Factor z**3/3 - 178*z**2/3 + 3655*z/3 - 4650. (z - 155)*(z - 18)*(z - 5)/3 Determine c, given that -13*c**2/2 - 2719*c - 5412 = 0. -5412/13, -2 Determine h, given that 5*h**4 + 514210*h**3 + 13219567745*h**2 - 52884441660*h + 52886498580 = 0. -51423, 2 Factor -2*g**3 + 6*g**2 + 1112*g + 2184. -2*(g - 26)*(g + 2)*(g + 21) Factor -4*t**4/3 - 100*t**3 - 564*t**2 - 828*t. -4*t*(t + 3)**2*(t + 69)/3 Factor -x**3 - 8704*x**2 + 122028*x - 209232. -(x - 12)*(x - 2)*(x + 8718) What is p in 2*p**5 - 134*p**4/11 - 50*p**3/11 + 1206*p**2/11 - 324*p/11 - 3024/11 = 0? -2, -21/11, 3, 4 Factor -5*m**3 - 490*m**2 + 7005*m - 23310. -5*(m - 7)*(m - 6)*(m + 111) Find o such that -o**2 - 1367058*o - 467211893841 = 0. -683529 Factor -3*q**2 - 27207*q - 27204. -3*(q + 1)*(q + 9068) Solve 4*l**4 - 248*l**3 - 23488*l**2 + 48632*l + 71868 = 0 for l. -53, -1, 3, 113 Factor -n**3/6 + 97*n**2/6 - 132*n - 4200. -(n - 84)*(n - 25)*(n + 12)/6 Factor t**2 + 754*t - 114920. (t - 130)*(t + 884) Factor 2*f**3/21 - 24734*f**2/21 + 25494570*f/7 - 25486326/7. 2*(f - 6183)**2*(f - 1)/21 Find k, given that -4*k**4/3 + 37904*k**3/3 + 645524*k**2/3 = 0. -17, 0, 9493 Determine d, given that 27*d**2 + 291*d + 474 = 0. -79/9, -2 Let -k**4 - 429*k**3 - 2969*k**2 - 6339*k - 3798 = 0. What is k? -422, -3, -1 Let n**3/2 + 50357*n**2 - 201434*n + 201436 = 0. What is n? -100718, 2 Determine p so that -3*p**3 + 3003*p**2 + 3006*p = 0. -1, 0, 1002 Factor d**4/5 + 26874*d**3/5 + 180606709*d**2/5 + 144420876*d + 144399380. (d + 2)**2*(d + 13435)**2/5 Solve -900*l**4/7 + 115440*l**3/7 - 689536*l**2/7 + 177728*l/7 - 11712/7 = 0 for l. 2/15, 6, 122 Factor -b**2 - 93*b - 356. -(b + 4)*(b + 89) Factor -3*f**2/4 + 50667*f/2 - 855714963/4. -3*(f - 16889)**2/4 Determine h so that -2*h**5/9 + 454*h**4/3 - 232550*h**3/9 + 24934*h**2 + 1151920*h/9 + 231200/3 = 0. -1, 3, 340 Let 8797156*g**3/3 - 8518352*g**2/3 - 276595*g/3 - 2209/3 = 0. Calculate g. -47/2966, 1 Determine a so that -10*a**2/9 + 1037474*a/9 - 414988/9 = 0. 2/5, 103747 Solve -2*h**4/7 + 3748*h**3/7 - 1763400*h**2/7 + 6975100*h/7 + 8742250/7 = 0. -1, 5, 935 Find q, given that -12142*q**5/3 - 485674*q**4/15 - 303534*q**3/5 + 97154*q**2/3 + 971312*q/15 - 32/5 = 0. -4, -1, 3/30355, 1 Factor -s**4/4 - 53*s**3/4 + 517*s**2 - 1840*s. -s*(s - 23)*(s - 4)*(s + 80)/4 Factor -y**2 - 400718*y - 40143728881. -(y + 200359)**2 Let k**4/4 + 111*k**3/2 + 4201*k**2/4 - 225330*k + 4120900 = 0. What is k? -140, 29 Solve -9*r**5/4 + 33*r**4/4 + 579*r**3/4 + 1503*r**2/4 + 615*r/2 + 66 = 0. -4, -2, -1, -1/3, 11 Factor 6889*x**3 + 4897*x**2 - 1848*x + 144. (x + 1)*(83*x - 12)**2 Factor -5*l**3 - 15*l**2 + 4370*l + 17400. -5*(l - 30)*(l + 4)*(l + 29) Find g, given that -32*g**4/7 + 140*g**3 + 1588*g**2/7 - 5688*g/7 - 2304/7 = 0. -3, -3/8, 2, 32 Factor 2*f**2 + 1638*f + 215820. 2*(f + 165)*(f + 654) Solve -3*f**3 + 9171*f**2 - 309213*f + 2620941 = 0 for f. 17, 3023 Factor -3*h**4 - 11628*h**3 - 11625*h**2. -3*h**2*(h + 1)*(h + 3875) Let 11*u**5 + 547*u**4 + 6516*u**3 + 11948*u**2 - 34352*u - 40320 = 0. Calculate u. -360/11, -14, -4, -1, 2 Factor 2*v**4/17 + 5442*v**3/17 - 5444*v**2/17. 2*v**2*(v - 1)*(v + 2722)/17 Let 16*o**3 + 68*o**2 - 228*o - 360 = 0. What is o? -6, -5/4, 3 What is j in 4*j**3 + 170264*j**2 - 340540*j + 170272 = 0? -42568, 1 Suppose 10*z**5 - 42965*z**4 + 46117540*z**3 + 69273010*z**2 + 21490*z - 23091005 = 0. Calculate z. -1, 1/2, 2149 Let -v**3 + 64959*v**2 - 1054950399*v + 1054885441 = 0. What is v? 1, 32479 Suppose k**5/2 + 26*k**4 + 197*k**3 - 5342*k**2 - 77227*k/2 + 43732 = 0. Calculate k. -29, -8, 1, 13 Solve 3*r**3/8 - 36177*r**2/2 - 1302615*r/8 = 0. -9, 0, 48245 Determine r so that r**2/12 + 555*r/2 - 3334/3 = 0. -3334, 4 Determine g, given that g**4/3 + 2*g**3/3 - 89*g**2/3 + 114*g - 120 = 0. -12, 2, 3, 5 Determine u so that -2*u**2/19 + 287792*u/19 - 10353029408/19 = 0. 71948 Factor 2*h**4 - 220*h**3 + 6166*h**2 - 11468*h. 2*h*(h - 61)*(h - 47)*(h - 2) Solve -w**5/2 - 5*w**4/2 + 57*w**3 + 301*w**2 + 847*w/2 + 363/2 = 0 for w. -11, -3, -1, 11 Factor 5*u**3 + 785*u**2 + 22380*u + 21600. 5*(u + 1)*(u + 36)*(u + 120) Determine h so that -2*h**5 + 488*h**4 - 2870*h**3 + 3320*h**2 + 2872*h - 3808 = 0. -1, 1, 2, 4, 238 Let -q**2/2 - 559527*q - 313070463729/2 = 0. What is q? -559527 Let -5*i**2 + 3105*i - 333270 = 0. Calculate i. 138, 483 Determine t, given that 2*t**5/13 - 772*t**4/13 - 10314*t**3/13 - 23948*t**2/13 + 3112*t/13 + 31920/13 = 0. -10, -2, 1, 399 Solve 2*q**4/11 - 9216*q**3/11 + 80360*q**2 = 0 for q. 0, 98, 4510 Factor -5*a**2/4 - 2505*a/4 - 10285. -5*(a + 17)*(a + 484)/4 Factor 2*w**2/5 + 157652*w + 15533845690. 2*(w + 197065)**2/5 Find z, given that z**2 - 51*z/2 + 140 = 0. 8, 35/2 Determine a, given that a**3/7 + 2312*a**2/7 + 9236*a/7 + 9232/7 = 0. -2308, -2 Factor -5*r**4 - 21120*r**3 - 22387040*r**2 - 178083840*r - 355493120. -5*(r + 4)**2*(r + 2108)**2 Let 3*a**2/2 - 209673*a - 419349/2 = 0. What is a? -1, 139783 Find x such that -3*x**3 - 28590*x**2 + 12*x + 114360 = 0. -9530, -2, 2 Determine v, given that 7*v**4/4 + 1984*v**3 + 5663*v**2/4 - 1133*v/2 = 0. -1133, -1, 0, 2/7 Factor i**2/3 - 3650*i/3 + 3649/3. (i - 3649)*(i - 1)/3 Factor 5*d**3 + 44595*d**2 + 3009340*d. 5*d*(d + 68)*(d + 8851) Suppose -2*n**2/9 + 5762*n/3 + 138416/9 = 0. What is n? -8, 8651 Factor -4*r**2/3 + 2*r/3 + 272/3. -2*(r + 8)*(2*r - 17)/3 Factor 2*k**2 + 95540*k + 1140986450. 2*(k + 23885)**2 Solve 21*s**4/8 + 975*s**3/4 - 75*s**2/2 - 975*s/4 + 279/8 = 0 for s. -93, -1, 1/7, 1 Solve -4*f**4 - 204*f**3 + 4*f**2 + 204*f = 0. -51, -1, 0, 1 Let 5*t**2/3 - 1325765*t/3 - 1325770/3 = 0. Calculate t. -1, 265154 What is h in 4*h**5 + 29*h**4 - 57*h**3 - 198*h**2 = 0? -33/4, -2, 0, 3 What is z in -2*z**4/21 - 274*z**3/21 + 82*z**2/3 + 822*z/7 - 1668/7 = 0? -139, -3, 2, 3 Find z such that -9*z**5/4 + 38*z**4 + 945*z**3/4 + 361*z**2 + 165*z = 0. -3, -10/9, -1, 0, 22 Determine p, given that 15*p**5/8 - 207*p**4/8 + 15*p**3/8 + 1647*p**2/8 + 1173*p/4 + 117 = 0. -6/5, -1, 4, 13 Let 2*t**4 - 486*t**3 - 6588*t**2 - 17504*t + 24576 = 0. What is t? -8, -6, 1, 256 Factor -h**5/3 + 440*h**4/3 - 49702*h**3/3 + 95480*h**2 - 141267*h. -h*(h - 217)**2*(h - 3)**2/3 Determine m, given that -11*m**3/4 + 5651*m**2 + 24671*m/4 + 514 = 0. -1, -1/11, 2056 Factor -1003*x**2/5 - 33097*x/5 + 66/5. -(x + 33)*(1003*x - 2)/5 Find k, given that -k**3 - 1121*k**2 + 21702*k + 47880 = 0. -1140, -2, 21 Solve 196*j**3 - 28392*j**2 - 149904*j - 194400 = 0 for j. -18/7, 150 Let -2*i**2 + 152404*i - 2903372402 = 0. What is i? 38101 Find a such that -28*a**5 + 36*a**4 + 11276*a**3 + 7836*a**2 - 25504*a + 6384 = 0. -19, -2, 2/7, 1, 21 Factor -3*r**3 - 8460*r**2 + 101991*r + 110448. -3*(r - 13)*(r + 1)*(r + 2832) Factor 2*w**2/5 + 2912*w/5 - 8754/5. 2*(w - 3)*(w + 1459)/5 Find p, given that -468*p**3/17 - 13106*p**2/17 - 44984*p/17 - 192/17 = 0. -
{ "pile_set_name": "DM Mathematics" }
*m to the form w + o*m**2 + q*m and give w. -49 Express 131*k**2 + 220*k**2 + 356*k**2 - 145*k**2 in the form h + u*k + v*k**2 and give v. 562 Rearrange -608*v**2 - 189*v**2 + 191*v**2 + (-2 + v + 2)*(3 - 2*v - 3) to the form s*v + y*v**2 + b and give y. -608 Express -f**3 + 2*f**2 + 654*f + 184623923 - 184623923 as c + o*f**3 + k*f + w*f**2 and give k. 654 Express 4 - 46027*l + 22988*l + 22858*l in the form j*l + p and give j. -181 Express 6438 + 111*w - 6438 + (-1 + 1 - w)*(-4 + 0 + 2) + (-4 - 2 + 4)*(2 - 5 - 2)*(-3*w + 2*w + 2*w) in the form l*w + x and give l. 123 Rearrange (-1 + 1 - 4)*(0 - 1 - 1)*(-69*v + 44*v + 91*v) to the form r + a*v and give a. 528 Express -24*s**2 + 1944*s + 1 - 1944*s + (20 - 50 - 73)*(-s**2 + 3*s**2 - s**2) as o*s + r + j*s**2 and give j. -127 Express 8*c**4 + 6*c - 6*c**4 - 42*c**2 - 12*c + 29*c + 1 - 2*c**3 in the form v*c**4 + q*c + i*c**2 + d*c**3 + g and give q. 23 Express (0*j - 2*j - 5*j)*(8758*j - 129*j**2 - 8758*j + (0 - j + 0)*(0*j + 0*j - 2*j)) in the form c*j**3 + d + z*j**2 + f*j and give c. 889 Rearrange 26*i**3 + 369*i**2 - 25*i**3 + 2*i**2 + 2*i**2 - 3 - 5*i**2 to p*i + u*i**3 + v*i**2 + x and give u. 1 Express s + 2 - 5 - 17*s**2 + 1948*s**3 + 3*s**2 - 1950*s**3 as h*s**3 + v*s + b + a*s**2 and give v. 1 Rearrange (0 + v**2 + 0)*(109*v + 34*v**2 - 109*v) + 4*v**4 - 5*v**4 + 17*v**4 to c + g*v**4 + y*v**2 + o*v + i*v**3 and give i. 0 Rearrange 0 - 5822*m**2 - 1 + 1 + 10453*m**2 to r*m**2 + d*m + p and give r. 4631 Rearrange (p - 2*p + 0*p)*(-p - p + p) - 4467*p**2 - 4662*p**2 + 8067*p**2 to c + d*p + k*p**2 and give k. -1061 Rearrange o**3 - 186*o - 7852 + 5*o**2 - 2*o**4 + 7848 - 7*o**2 to the form q*o**3 + u*o + r + p*o**4 + z*o**2 and give z. -2 Rearrange (-8*t - 10*t - 4*t)*(-2*t**2 + 146 + 2*t**3 - 5128*t + 5128*t) to the form q*t**4 + c*t**2 + f*t + s + w*t**3 and give q. -44 Express (160*z + 23*z - 357*z)*(-52*z + 5*z + 4*z) + (-4*z + 4*z + z)*(-2 - 2*z + 2) + 2 - 2 - z**2 in the form l*z**2 + u + n*z and give l. 7479 Rearrange -2*f**3 + 2*f - 2*f + (f**3 + 0*f**3 + 7*f**3)*(2 + 11 - 2) - 4*f**3 + 5*f**3 - 4*f**3 to the form y + g*f**3 + u*f + t*f**2 and give g. 83 Rearrange (-20*n - 10*n + 2*n)*(-3 + 1 - 4) + 0*n - 4*n - 6*n to p*n + f and give p. 158 Express (260316 - 520642 + 260325 - 5095*s**3)*(-2*s + 0*s + 4*s) as o*s**3 + z*s**4 + m*s**2 + l + q*s and give l. 0 Express 2*i**4 - 3*i**4 - i**4 + (0*i**3 + i**3 + 2*i**3)*(121910 - 1663*i - 121910) as h*i**4 + z*i**2 + p*i**3 + f + x*i and give h. -4991 Express 1 + 142*a - 1 + 10029*a**2 - 10043*a**2 in the form x*a**2 + o*a + m and give x. -14 Express -n + 3*n**2 + 53*n**2 - n**3 - 83*n**2 as j*n + x*n**2 + h + i*n**3 and give j. -1 Rearrange -66*d - 9879*d**2 - 363 + 251 + 9881*d**2 to the form z*d + b + r*d**2 and give b. -112 Rearrange 117*c**2 + 207*c**2 - 324*c**2 + c + 781*c**3 to the form f*c**3 + t*c**2 + v*c + k and give f. 781 Rearrange (-3*g - g**2 + 3*g)*(0*g + g + 2*g) + 5*g**3 + 3*g**3 - 2*g**3 + 6562*g - 6562*g - 431*g**3 to the form r + l*g**2 + c*g + a*g**3 and give a. -428 Rearrange 2879 - 2322*f**2 - 2879 to g*f + s*f**2 + q and give s. -2322 Express -69 + 181*y**3 - 2*y**4 + 2*y**2 + 3*y**4 + 186*y**3 - 361*y**3 + y**2 as h*y**4 + c*y**2 + s*y**3 + u*y + k and give s. 6 Express (-4 + 3 - 1)*(-3*u**3 + 0*u**2 + 0*u**2)*(0 + 12 - 7)*(3 - 6 + 1)*(-25 + 57 + 120) in the form d*u + m*u**2 + p + t*u**3 and give t. -9120 Express -12*j**2 + 70 - 8*j - 3*j**4 - 5*j**3 - 71 + 10*j**2 in the form z*j**4 + b*j**3 + x + r*j**2 + s*j and give b. -5 Rearrange (3*v + 0 + 0)*(6 - 4 + 5)*(14 - 20 + 23)*(-5 + 5 - 3)*(2 - 2 - 2*v**2) to r + o*v**2 + n*v**3 + i*v and give n. 2142 Express -1579*x**2 - 84 + 3159*x**2 - 1600*x**2 as c + h*x + g*x**2 and give g. -20 Rearrange 652 - 3*y**3 + 4*y**3 + 1981680*y + 1318 + 1126 - 1981681*y to the form a*y**2 + k*y + x + d*y**3 and give d. 1 Rearrange (86*m + 349*m + 522*m)*(m - 2*m + 2*m) - 2*m + 3 - 4*m - 2 + 2*m**2 to q*m**2 + y*m + w and give w. 1 Express (2 - 7 + 2)*(-158 + 469 - 167 - 1276*g**4 - 148) as w*g**4 + z*g**2 + j*g + d + q*g**3 and give d. 12 Rearrange (11*g + 5 - 5 - g + 0*g - g + (-2 + 2*g + 2)*(4 - 3 + 1))*(38 - 124*g**2 - 169*g**2 - 40) to the form y*g**3 + j*g**2 + p*g + f and give f. 0 Express (3776 - 28*w**2 - 3777 - 36*w**2)*(-4*w**2 + 2 - 2) as r*w + a*w**2 + d*w**4 + s + m*w**3 and give a. 4 Rearrange (96 + 529 + 1599 - 312)*(4*a - 5*a - a) to z + s*a and give s. -3824 Express 2033*n - 8514*n + 2*n**2 + 2653*n in the form p + u*n + g*n**2 and give g. 2 Express -189494*p**2 - 24 - 2*p**3 + p + 5 + 189549*p**2 in the form m*p**3 + f*p + c*p**2 + q and give q. -19 Rearrange (-13 + 83 + 127)*(-430*n - 113*n**3 + 430*n) to m + t*n**2 + w*n + u*n**3 and give u. -22261 Express (17 - 166 + 6 - 323 - 6*f)*(-2*f - 5*f + f) in the form b + c*f + h*f**2 and give b. 0 Express -1 + 1 - 5833*s - 83*s - 2184*s in the form p + n*s and give n. -8100 Express (8*o - o + 5*o**2 - 6*o)*(582 + 697 - 1399) as r*o + w*o**2 + b and give w. -600 Express -29*p**2 - 1545*p**3 + 1 - 42*p**2 + 70*p**2 as m*p + x + j*p**3 + b*p**2 and give j. -1545 Rearrange -5*q**3 - 6*q**3 + 16*q**3 + (0*q - q + 2*q)*(-11 + 16 - 6 + 3*q**2) to j*q**2 + h*q + r*q**3 + t and give r. 8 Express 1741542 + 3*g - 1741542 as y*g + j and give y. 3 Express -363*z**3 - 21 - 309*z**3 + 690*z**3 in the form s*z**3 + v*z**2 + a*z + o and give s. 18 Express 28*g**2 + 120*g**2 + 101*g**2 + 15*g - g in the form x*g**2 + f*g + v and give f. 14 Rearrange -f - 3*f**2 - 6*f**2 + 4*f**2 + 21*f**3 + 21*f**3 - 43*f**3 + 9*f**4 to v*f**3 + m*f**2 + g + l*f**4 + q*f and give q. -1 Rearrange 214*t**2 + 7836*t**2 + 3840*t**2 + (3*t - 5*t + t)*(0*t - 3*t + t) to n*t + i*t**2 + y and give i. 11892 Express 2 - 4*n**3 + 3*n - 1127*n**2 + 13*n**3 + 1131*n**2 in the form a*n**3 + l*n + w*n**2 + o and give l. 3 Express 4*c**2 - 4*c**2 + 3*c**2 + (-71*c + 110*c + 112*c + (4*c - 3*c + c)*(4 - 3 + 1))*(2*c - 3*c + 2*c) in the form t*c**2 + q*c + b and give t. 158 Express -30*g**4 + 13*g**4 - 20*g**4 + 4*g - 3 - g**2 + 5*g**3 - 5*g**3 in the form p*g + d + o*g**3 + k*g**2 + x*g**4 and give p. 4 Rearrange 0*u - 1515*u**2 - 2*u - 1279*u**2 - 1236*u**2 + 709*u**2 to the form i*u**2 + j*u + p and give i. -3321 Express (5 - 3 - 4)*(-3 + 2 - 2)*(684 + 23*d - 684) in the form y + a*d and give a. 138 Rearrange (0 + 1 - 3)*(l**3 - l**3 - 2*l**3) - 1 + 20*l**3 + 17*l**2 + 4*l - 8*l**2 - 7*l**2 to i + m*l**2 + p*l**3 + t*l and give m. 2 Express 462 - 468 + j**3 - j**3 - 91*j**2 - j**3 in the form q*j**3 + y*j**2 + w + n*j and give y. -91 Rearrange (2 + 3 - 8)*(3*p**4 - 2*p**4 + 0*p + p) + 343*p**4 - 180*p**4 - 219*p**4 + 3*p**2 to u + q*p + w*p**2 + i*p**3 + j*p**4 and give w. 3 Rearrange -4266*v + 6 - 2324*v - 6 + 404*v to the form i*v + n and give i. -6186 Rearrange x**4 + 0 - 7*x - 33436927*x**3 + x**2 + 33436929*x**3 + 16 to the form t + v*x**4 + z*x**3 + s*x + y*x**2 and give t. 16 Express -23*s**2 - 3 + 2*s + 44*s**3 - 11*s**2 + 51*s**2 - 16*s**2 as l + k*s + y*s**2 + m*s**3 and give k. 2 Rearrange (-3*v**3 + v**3 + 4*v**3)*(2736*v + 56*v + 4159*v) to the form f + u*v**3 + p*v + l*v**2 + x*v**4 and give x. 13902 Express -22 + 45 + 2221*w**2 - 23 - 9113*w**2 as h + n*w**2 + q*w and give n. -6892 Express (553*q - 1039*q + 343*q)*(38 - 54 - 86) in the form v + w*q and give w. 14586 Express (198*q**2 - 2*q + 72*q**2 + 6*q)*(q**2 + q**2 + 0*q**2) as u*q**2 + x*q**4 + g*q**3 + v*q + s and give x. 540 Express -43*a - 43*a + 85*a + 40 + (-2*a + 5 - 5)*(-2 - 1 + 4) - a - a + 0*a as i + r*a and give r. -5 Rearrange (d - 9*d + d)*(-742 + 1649 - 613)*(0*d**2 - 8*d**2 + 2 - 1 - 1) to the form v*d + m*d**2 + n*d**3 + h and give n. 16464 Express (-3 - 1 + 3)*(p**2 - 2*p**2 + 2*p**2) + 12061249*p + 4*p**2 + 188 - 12061248*p + 5*p**2 in the form d*p**2 + u*p + r and give d. 8 Express -11171*u + 3450*u + 4232*u + 3 - 4 in the form q + h*u and give q. -1 Express 1344 - 458 - 14777*m**2 - 885 as z*m + s*m**2 + f and give s. -14777 Rearrange 375*d - 734*d + 360*d - 26*d**3 + 43 to the form q*d + m + z*d**2 + f*d**3 and give f. -26 Rearrange -104 - 119 - 132 + 278 + 14*k - 124 to the form o*k + h and give o. 14 Express -37*u - 3 + 2 + 2*u**3 + 7 + 8*u - 9 - 10*u**2 in the form
{ "pile_set_name": "DM Mathematics" }
ond derivative of q**4/12 - 4*q + 4. Determine s(y(r)). r**2 Let z(b) = b. Let c(f) = 22*f**2. Calculate z(c(m)). 22*m**2 Let a be -3 + 5/(60/38). Let o(y) be the second derivative of -a*y**3 + 0 - y + 0*y**2. Let j(k) = -2*k**2. Determine o(j(g)). 2*g**2 Let d(c) = -126*c**2. Let r(i) = 3*i. What is r(d(k))? -378*k**2 Let r(w) = 13*w - 5. Let f(o) = 9*o - 2*o - 5 + 2. Let i(b) = 5*f(b) - 3*r(b). Let t(p) = -p**2. What is i(t(y))? 4*y**2 Let t(g) be the third derivative of -g**4/6 - 9*g**2. Let k(q) = 12*q**2. Give t(k(r)). -48*r**2 Let r(t) = -2*t**2. Let o(h) = 152*h**2 - h. Calculate o(r(s)). 608*s**4 + 2*s**2 Let x(j) = j**2. Let k(l) be the second derivative of l**3/2 - 11*l. Give k(x(s)). 3*s**2 Suppose -21 = -d - 2*d. Let m(r) = d*r - 10*r + 7*r. Let u(j) = -2*j**2. Calculate u(m(z)). -32*z**2 Let t(y) = y. Let r(n) = -8*n**2 - 13*n - 9. Let h(q) = 4*q**2 + 6*q + 4. Let j(o) = -13*h(o) - 6*r(o). Let v(d) be the first derivative of j(d). Give v(t(i)). -8*i Let g(p) be the second derivative of 0*p**3 + 0 + 1/12*p**4 + 2*p + 0*p**2. Let i(x) = -2*x**2. Give g(i(z)). 4*z**4 Let s(d) = -3*d - 6*d + 7*d. Let f(j) = 10*j**2. Calculate f(s(o)). 40*o**2 Let r(t) = 140*t**2. Let g(c) = -25*c**2. Determine r(g(v)). 87500*v**4 Let i(m) be the third derivative of -m**4/12 - 10*m**2. Suppose 5*y - 30 = -5. Let q(p) = 0*p**2 + y*p**2 - 7*p**2 + p**2. Give i(q(r)). 2*r**2 Let k(c) = -2*c + 21. Let b(s) = -2*s. Calculate k(b(p)). 4*p + 21 Let g(i) = -2*i**2. Let d(c) = c. Let w(k) = 4*k. Let m = 6 - 4. Let o(z) = m*d(z) - w(z). Determine g(o(x)). -8*x**2 Let v(s) = -2*s**2 - 10*s. Let c(j) = 5*j**2. Calculate v(c(r)). -50*r**4 - 50*r**2 Let n(z) = -2*z. Let a(r) be the second derivative of -2*r - 1/3*r**3 + 0*r**2 + 0. Give a(n(c)). 4*c Let w(a) = -a. Let f(y) be the third derivative of 7*y**5/60 + 6*y**2. Calculate f(w(v)). 7*v**2 Let w(r) = r**2. Let p(q) = -52*q - 11. Let u(l) = -34*l - 7. Let k(x) = -5*p(x) + 8*u(x). Calculate k(w(a)). -12*a**2 - 1 Let f(q) = -19*q. Let d(r) = 2*r + 44*r**2 - 42*r**2 - 2*r. Calculate d(f(t)). 722*t**2 Let c(x) = -x**2. Let z(d) be the third derivative of d**5/6 + 31*d**2. What is z(c(a))? 10*a**4 Let b(t) = -2*t. Let s(i) = 328*i - 1. Give s(b(p)). -656*p - 1 Let d(h) = 4*h. Let s(y) be the third derivative of y**5/12 + 20*y**2. What is d(s(z))? 20*z**2 Let w(t) = t + 5. Let l(v) = -11*v**2. What is l(w(a))? -11*a**2 - 110*a - 275 Let f(h) = -11*h**2. Let s(z) be the first derivative of -z**3/3 - 42. Determine f(s(x)). -11*x**4 Let g(v) = 48*v**2. Let i(j) = -j. What is i(g(s))? -48*s**2 Suppose 0*d = -2*d + 4. Suppose 0 = -5*b + b. Let v(z) = 3*z**2 + b*z**2 - 4*z**d. Let w(x) = 3*x. What is v(w(y))? -9*y**2 Let q(b) be the first derivative of 24*b**2 + 27. Let x(f) = -2*f**2. Give q(x(o)). -96*o**2 Let s(j) = -j**2 + 4*j**2 - 7*j**2. Let d(y) = -y + 0 + 5 - 5. Let h(a) = -6*a. Let b(r) = 4*d(r) - h(r). Determine b(s(c)). -8*c**2 Let i(t) = 2*t. Let b(r) = 33 - 33 - 8*r**2. Give i(b(n)). -16*n**2 Let j(o) = o**2 - 78. Let y(w) = 3*w**2. Give j(y(p)). 9*p**4 - 78 Let p(v) = -88*v - 3. Let s(n) = -2465*n - 85. Let a(o) = -85*p(o) + 3*s(o). Let g(u) = -2*u. Give a(g(c)). -170*c Let f(s) be the second derivative of -s**3/3 - 3*s. Let z(q) = 9*q - 24. Let b(o) = 2*o - 5. Let n(p) = -24*b(p) + 5*z(p). What is f(n(t))? 6*t Let v(n) = 9*n + 10 - 28 + 18. Let q(b) = b + 1. Let s(m) = 5*m + 6. Let f(a) = 6*q(a) - s(a). Determine v(f(x)). 9*x Let i(m) be the third derivative of m**5/6 - m**2 - 3*m. Let f(o) = 5*o**2. Determine f(i(x)). 500*x**4 Let c be (36/(-30))/(3/(-10)). Let y(r) = -c + 2*r + 5 - 1. Let h(w) = 3*w**2. Determine h(y(v)). 12*v**2 Let y(u) = 11*u. Suppose -j = -2*j - 11. Let h(r) = -2*r**2 + 11*r - 11. Let f(w) = -w**2 + 6*w - 6. Let t(p) = j*f(p) + 6*h(p). Give y(t(m)). -11*m**2 Let l(v) = 3*v**2. Let g(d) be the third derivative of -d**4/4 - 9*d**2. Give g(l(z)). -18*z**2 Let g(f) = 2*f - 36. Let j(q) = 33*q. Determine j(g(n)). 66*n - 1188 Let b(s) = 3097*s**2. Let k(y) = -y**2. Give b(k(c)). 3097*c**4 Let f(p) = -4*p**2. Let n(q) be the first derivative of 6 - 4 - q**2 - 1 - 3. What is f(n(d))? -16*d**2 Let o(t) = -2*t. Let w(a) = -a**2 - 17*a - 15. Let l be w(-16). Let q(y) be the first derivative of -l + 0*y - 2/3*y**3 + 0*y**2. What is o(q(p))? 4*p**2 Let q(a) = 17*a**2. Let c(l) = 10 - 2*l**2 + l**2 - 10. Calculate c(q(r)). -289*r**4 Let u(n) = 6*n**2. Let q(j) be the second derivative of -j**7/630 + 7*j**4/12 - 7*j. Let r(v) be the third derivative of q(v). What is r(u(l))? -144*l**4 Let p(d) = -9*d. Let f(y) = 101*y**2. Calculate f(p(u)). 8181*u**2 Let t(o) = 6*o**2. Let q(m) = -2*m - 3. Let a(c) = 5*c + 7. Let f(x) = -6*a(x) - 14*q(x). Determine f(t(v)). -12*v**2 Let n(f) = f**2. Let a(v) be the first derivative of 10*v**3/3 - 57. Determine a(n(s)). 10*s**4 Let t(q) be the first derivative of -2 - q**2 + 5*q + 0*q**2 - 5*q. Let x(u) = 4*u**2. Calculate t(x(r)). -8*r**2 Let h(f) = f. Let r(t) = 6*t**2 + 27*t. Give r(h(q)). 6*q**2 + 27*q Let b(r) = 0*r - r + 0*r + 6*r. Let v(k) = k. What is v(b(u))? 5*u Let a(n) = 2*n. Let h(f) = 153*f. Calculate a(h(x)). 306*x Let y(p) = -164*p + 321*p - 158*p. Let r(g) = g**2 + 5*g**2 - 2*g**2. Determine r(y(t)). 4*t**2 Let j(x) = -5*x. Let q(m) = m + 6. What is j(q(l))? -5*l - 30 Let x(m) be the first derivative of -3*m**2/2 + 20. Let a(o) = 21*o + 9. Let z(t) = 5*t + 2. Let q(g) = -2*a(g) + 9*z(g). What is x(q(b))? -9*b Let k(t) = t**2 + 1. Let c(i) = i**2 - i + 5. Let g be c(0). Let d(p) = -3*p**2 - 5. Let m(h) = g*k(h) + d(h). Let v(w) = -2*w**2. Calculate m(v(z)). 8*z**4 Let f(c) = 24*c. Let m(d) = -37*d**2. What is m(f(q))? -21312*q**2 Let x(a) = -3*a**2. Suppose -2*l + 6 = -l + 3*d, -4*l - 2*d = -4. Let t(c) be the first derivative of 2/3*c**3 + l*c**2 + 0*c - 2. What is x(t(s))? -12*s**4 Let u(i) = 0*i + i - 3*i. Let y(l) = 3*l. Determine u(y(d)). -6*d Let k(z) = 3*z - 3*z - 2*z. Let g = -1 + 3. Let s(j) = -g*j**2 + 0*j**2 + j**2. Calculate k(s(p)). 2*p**2 Let n(z) = -3*z**2 - 20. Let f(k) = -6*k**2. What is n(f(b))? -108*b**4 - 20 Let s(d) = d. Let m(r) be the third derivative of -r**5/60 - 11*r**2. Determine s(m(j)). -j**2 Let y(j) = 2*j. Let z(s) be the second derivative of -53*s**3/6 - 27*s. Determine y(z(q)). -106*q Let j(r) = r + 1. Let s(z) = -z - 2. Let w(m) = -2*j(m) - s(m). Let t(o) = 9*o. Let a(c) = 28*c. Let x(v) = 5*a(v) - 16*t(v). Calculate w(x(f)). 4*f Let k(a) = 3*a + 2. Let n(q) = 3*q + 1. Let j(d) = -2*d. Let w(f) = 4*j(f) + 5*n(f). Let g(i) = 5*k(i) - 2*w(i). Let l(p) = 6*p. Determine l(g(y)). 6*y Let g(w) = -18*w**2. Let m(c) = 48*c. What is m(g(o))? -864*o**2 Let b(o) = 11*o. Let y(q) be the third derivative of q**4/12 - 9*q**2. What is y(b(r))? 22*r Let w(f) be the third derivative of -f**5/6 - 3*f**2. Let z(y) = -2*y. What is z(w(l))? 20*l**2 Let j(m) be the third derivative of 3*m**5/20 + 20*m**2. Let q(k) = 4*k. Calculate q(j(a)). 36*a**2 Let v(u) = 9*u + 6*u + 15*u + 0*u. Let t(q) = q**2. Give v(t(x)). 30*x**2 Let m(v) be the second derivative of v**3/6 - 4*v. Let h(f) = -f**2. Let j(q) = 7*q**2. Let x(b) = 5*h(b) + j(b). What is x(m(i))? 2*i**2 Let v(n) = 33*n. Let u(q) = -342*q. What is v(u(x))? -11286*x Let q(p) be the first derivative of -17*p**3/3 - 4. Let z(w) = -3*w**2. What is q(z(o))? -153*o**4 Let a(l) = 67*l**2 - 30*l**2 - 41*l**2. Let t(g) = -3*g. Give t(a(n)). 12*n**2 Let h(j) = -j. Let z(c) be the third derivative of c**6/90 - 5*c**4/24 - 6*c**2. Let y(x) be the second derivative of z(x). Calculate h(y(d)). -8*d Suppose -2*g = -3*c - 12, 3*c + 4 = 3*g - 8. Let l(a) be the third derivative of a**2 + 1/24*a**4 + g*a + 0 + 0*a**3. Let j(p) = -p. Give l(j(y)). -y Let l(o) = -3*o**2. Let x(y) = -342*y - 2. Give l(x(s)). -350892*s**2 - 4104*s - 12 Let g(x) be the first derivative of 3*x**2/2 - x + 1. Let q(a) = a - 1. Let l(m) = -g(m) + q(m). Let h(y) = -2*y + 3*y - y - 2*y**2. Give h(l(z)). -8*z**2 Let k(p) = 10*p. Let t(y) = 1. Let j(c) = c**2 + 1. Let z(q) = -3*j(q) + 3*t(q). Calculate k(z(i)). -30*i**2 Let j(m) = 4*m - 4*m + 4*m. Let w(x) be the second derivative of x**3/2 + 2*x. Let b(n) = -2*j(n) + 3*w(n). Let q(a) = 2*a**2. Give b(q(t)). 2*t**2 Let x(i) = 54*i. Let m(a) = 110*a**2. Calculate x(m(f)). 5940*f**2 L
{ "pile_set_name": "DM Mathematics" }
d(i) = 7*i - 4. Suppose 5*r - 32 = 4*k, 5*k - 25*r + 20*r = -35. What is k*d(z) - 5*x(z)? -z + 2 Let h be 3/(-3) + -5 + 4. Let n = h - -3. Let a be n/1 + 112/(-16). Let w(k) = 10*k**2 + 7*k - 7. Let g(d) = -9*d**2 - 6*d + 6. What is a*w(x) - 7*g(x)? 3*x**2 Let n(h) = -47*h**2 + 4. Let l(y) = 5547*y**2 - 473. Let s(i) = -123*i - 3071. Let b be s(-25). Determine b*l(z) + 473*n(z). -43*z**2 Let r(k) = k**3 - 8*k**2 + 7*k - 2. Let a(f) = 2*f**3 - 7*f**2 + 7*f - 1. Calculate -4*a(s) + 3*r(s). -5*s**3 + 4*s**2 - 7*s - 2 Let g(k) = 6435536940 + 4*k + k - 6435536936. Let z(r) = -r**3 + 7*r**2 + 2*r + 7. Let o be z(6). Let x(d) = -70*d - 55. Calculate o*g(a) + 4*x(a). -5*a Let d(y) = y - 1. Let w(i) be the third derivative of -i**4/6 + 4*i**3/3 + 542*i**2. Give 8*d(p) + w(p). 4*p Let z(s) = -138*s**3 + 24*s**2 - 3*s + 1. Let u(i) = -410*i**3 + 68*i**2 - 9*i + 3. What is -6*u(k) + 17*z(k)? 114*k**3 + 3*k - 1 Let r(y) = -4*y**2 + 2*y + 378. Let a(u) = -2*u**2 + 188. Give 5*a(m) - 3*r(m). 2*m**2 - 6*m - 194 Let j(y) = 203*y - 15. Let x(n) = -50*n + 3. Let m(c) = -j(c) - 4*x(c). Let q(g) = 1. Suppose 0 = -3*p + 8 + 1. Let a be 4 + 1 + p/3. What is a*q(h) - 2*m(h)? 6*h Let d(j) = -48*j**3 + 2*j - 39. Let p(w) = 48*w**3 - w + 32. What is -3*d(k) - 4*p(k)? -48*k**3 - 2*k - 11 Let h(v) = 24*v**3 + 12*v + 16*v**2 + 3*v + v. Let m = -1056 + 1072. Let k(r) = 5*r**3 + 3*r**2 + 3*r. What is m*k(i) - 3*h(i)? 8*i**3 Let q(j) = 2*j**3. Suppose y - 1 = -0. Let n(s) = -15*s**2 + 44*s**2 - 19*s**2 - 9*s**2. Give y*q(w) + 3*n(w). 2*w**3 + 3*w**2 Suppose -30*n = -26*n + 436. Let g = 104 + n. Let a(q) = 5. Let d(r) = -r**2 - 6. Determine g*d(w) - 6*a(w). 5*w**2 Let p(j) = -512 + 26*j + 3*j**2 - 26*j + 9*j**3 + 515. Let m(b) = 18*b**3 + 5*b**2 + 5. Calculate 3*m(a) - 5*p(a). 9*a**3 Let b(r) = -78*r**3 - 8*r**2 - 8*r + 8. Let z(a) = -52*a**3 - 5*a**2 - 5*a + 5. Suppose 9*s - 37 = 35. Give s*z(q) - 5*b(q). -26*q**3 Let y(a) = -a**3 + 8*a**2 + 4*a + 7. Let m(o) = 2*o**3 - o**2 - 4. Calculate 6*m(z) + y(z). 11*z**3 + 2*z**2 + 4*z - 17 Let s(d) = 8*d**2 - 2*d + 1. Let p(q) = 10*q**2 + 5*q + 50. Calculate p(z) - 2*s(z). -6*z**2 + 9*z + 48 Let i(s) = 11*s**3 - 25*s**2 - 2*s - 1. Let q(m) = 9*m**3 - 25*m**2 - 2*m - 1. What is -5*i(f) + 6*q(f)? -f**3 - 25*f**2 - 2*f - 1 Let h(f) = -23*f**2 + 10*f - 11. Let x(j) = -48*j**2 + 24*j - 22. Let g(u) = 5*h(u) - 2*x(u). Let w(y) = 9*y**2 - y + 5. What is 6*g(r) + 13*w(r)? 3*r**2 - r - 1 Let d(z) = -3*z - 2. Let a(n) = n - 1. Suppose -413 + 351 = 31*p. Give p*d(w) + 6*a(w). 12*w - 2 Let j(g) = 2*g**2 + 4*g + 5. Let z(s) = -4*s**2 - 7*s - 10. Suppose o - 3*n = -2*o + 27, o = -3*n + 25. Suppose 0 = -o*x + 104 - 52. Give x*z(c) + 7*j(c). -2*c**2 - 5 Let g(l) = 13*l**2 - 19*l. Let b(r) be the third derivative of 7*r**5/60 - 3*r**4/8 + 3635*r**2. What is 11*b(n) - 6*g(n)? -n**2 + 15*n Let k(g) = g**3 - 1. Let a(z) = 55*z**3 - 52*z**2 + 26*z + 15. Let q(f) = 27*f**3 - 24*f**2 + 12*f + 7. Let u(y) = -6*a(y) + 13*q(y). What is -k(n) - u(n)? -22*n**3 Let d(c) = 5*c**2 - 11*c + 14. Let m be -4 - ((-2)/(-7) - 660/105). Let w(g) = 11*g - 3*g**2 + 0*g**2 - 4*g - m - 7. Give -5*d(b) - 8*w(b). -b**2 - b + 2 Let p(w) = -5*w + 4. Let d(t) = -122 + 212 + 6*t - 103 - t + 9*t. Let y = 7 - 11. What is y*d(j) - 11*p(j)? -j + 8 Let r(a) = 20*a**2 + 602*a + 13. Let b(l) = -27*l**2 - 802*l - 18. Give 8*b(x) + 11*r(x). 4*x**2 + 206*x - 1 Let g = -2532 - -2528. Let p(c) = 4*c - 7. Let v(r) = r**2 - 9*r + 15. Calculate g*v(z) - 9*p(z). -4*z**2 + 3 Let f(n) = n**3 + n + 2. Let v(h) = h**3 + 2*h**2 + 2*h - 36. Give 3*f(i) - v(i). 2*i**3 - 2*i**2 + i + 42 Let k(x) = 1284*x - 52. Let i(v) = 856*v - 37. Calculate -7*i(r) + 5*k(r). 428*r - 1 Let s(k) be the first derivative of -2*k**3/3 - 5*k**2/2 - k - 3. Let g = 97 - 95. Let w(z) = 94*z**g + z - 51*z**2 - 42*z**2. Determine s(n) + 3*w(n). n**2 - 2*n - 1 Let j(o) = 121*o - 66*o - 21 - 34 - 11*o**2. Let a(s) = -s + 1. Let q(z) = -177*z - 1594. Let u be q(-9). Determine u*j(p) - 55*a(p). 11*p**2 Let d(v) = 890*v**3 + 4*v**2 - 28*v + 4. Let m(b) = -891*b**3 - 3*b**2 + 21*b - 3. What is 3*d(n) + 4*m(n)? -894*n**3 Let o(f) be the second derivative of -f**5/4 - 11*f**4/12 + 11*f**3/6 - 7*f**2/2 - 1940*f. Let z(q) = -3*q**3 - 6*q**2 + 6*q - 3. Give 6*o(c) - 11*z(c). 3*c**3 - 9 Let w(k) = 2*k**3 - 36*k**2 + 10. Let c(l) = 2*l**3 - 35*l**2 + 11. Determine 2*c(n) - 3*w(n). -2*n**3 + 38*n**2 - 8 Let x(o) = 5*o**2 - 5*o + 9. Let q be (4/(-2))/(11/33) + 2. Let d(y) = y**2 - y + 1. Determine q*d(s) + x(s). s**2 - s + 5 Let s(q) = -q + 7. Let l(a) = 28*a - 47. What is -l(i) - 4*s(i)? -24*i + 19 Let o(a) = 7*a - 1. Let i(x) = -45*x + 183. Calculate i(k) + 6*o(k). -3*k + 177 Let p(k) = -5*k + 128. Let f(m) = -40*m + 1023. What is -6*f(q) + 46*p(q)? 10*q - 250 Let h(r) be the second derivative of r**3/6 - r**2/2 - 6*r. Let j(f) be the first derivative of 15*f - 14*f + 5*f - 3*f**2 + 25. Calculate 34*h(o) + 6*j(o). -2*o + 2 Let u(j) = -5*j + 2. Let v(o) = 4*o - 2. Suppose 2*t + 4 - 8 = q, 3*q = -5*t + 21. Suppose -9*g = -t + 30. Calculate g*u(r) - 4*v(r). -r + 2 Let i(y) = -1929 + 1929 + 3*y. Let p(b) = -23*b + 7. Let r(t) = 8*t - 2. Let j(g) = -2*p(g) - 7*r(g). Determine 14*i(o) + 4*j(o). 2*o Let k(o) = o + 4. Let l be k(-6). Let r(p) = p**2 + 2*p - 7. Let w(x) be the third derivative of x**5/60 + x**4/24 + 64103*x**2. Give l*w(v) + r(v). -v**2 - 7 Let v(h) = -13*h**3 - 208*h**2 - 70*h + 7. Let w(q) = 9*q**3 + 147*q**2 + 50*q - 5. Give -12*v(n) - 17*w(n). 3*n**3 - 3*n**2 - 10*n + 1 Let j(b) = 6*b**3 + 14*b**2 - 9*b - 435. Let i(r) = -7*r**3 - 18*r**2 + 11*r + 434. Calculate 4*i(s) + 5*j(s). 2*s**3 - 2*s**2 - s - 439 Let v(w) = w**3 - 3*w**2 - w + 1. Let b(j) = 109*j**3 - 17*j**2 + j + 6. Determine b(t) - 5*v(t). 104*t**3 - 2*t**2 + 6*t + 1 Let a(s) = 17977*s + 3. Let j(u) = -17943*u - 4. Give 4*a(l) + 3*j(l). 18079*l Let c(o) = 5*o - 3. Let b(j) = 14*j - 9. Let k(y) = 5*y**2 - 61*y - 46. Let n be k(13). Determine n*b(p) - 17*c(p). -p - 3 Let u(y) = 71*y**2 - 63*y - 6. Let p(r) = -141*r**2 + 130*r + 10. Calculate 3*p(q) + 5*u(q). -68*q**2 + 75*q Let m(o) = -3*o. Let v(k) = 14*k**2 - 2*k + 39. Calculate -2*m(r) + v(r). 14*r**2 + 4*r + 39 Let b = 32 - 26. Let m(u) = -5*u - 348*u**2 + 699*u**2 + 2 - 352*u**2. Let v(r) = -r. Give b*v(w) - m(w). w**2 - w - 2 Let f(b) = 297*b**3 - 9*b**2 + 9*b + 9. Let j(k) be the second derivative of -37*k**5/10 + k**4/6 - k**3/3 - k**2 + 151*k + 28. Determine 2*f(c) + 9*j(c). -72*c**3 Let c(h) = -2*h**2 - 5*h - 4. Let i(v) = 511 - 263 - 255 - 9*v - 117*v**2 + 113*v**2. Give -7*c(j) + 4*i(j). -2*j**2 - j Let w(r) = 43*r - 730*r**3 - 12257*r**2 + 12300*r**2 + 128*r**3. Let g(s) = -43*s**3 + 3*s**2 + 3*s. What is -43*g(m) + 3*w(m)? 43*m**3 Let g(f) = -8*f**2 + 3*f**2 - 3*f + 6*f**2 - 2*f**2. Let i be 12 + -13 - -1*2. Let m be (0 + (2 - 10))*i. Let d(h) = 3*h**2 + 8*h. Determine m*g(p) - 3*d(p). -p**2 Let o(m) = 19*m**3 - 20*m**2 - 21*m + 20. Let l(w) = -6*w**3 + 6*w**2 + 7*w - 6. Calculate -7*l(h) - 2*o(h). 4*h**3 - 2*h**2 - 7*h + 2 Let y = -8 + 3. Suppose 3*h = 34*h - 18662. Let q(d) = -h + 9*d**2 + 316 + 280 + 9*d. Let t(z) = -14*z**2 - 14*z + 9. Give y*t(v) - 8*q(v). -2*v**2 - 2*v + 3 Let i(t) = -44*t - 12. Let q = 31276 + -31265. Let v(g) = -15*g - 4. What is q*v(f) - 4*i(f)? 11*f + 4 Let k(z) be the third derivative of -7*z**4/12 + 2*z**3 + 2*z**2 + 22*z. Let d be -2*(4 + 1) - 2. Let o(x) = x - 1. Determine d*o(b) - k(b). 2*b Let v(o) = -3*o**2 - 4*o**3 - 4*o**2 - 5 + 3*o + 3*o**3. Let x(j) = 0*j - 13*j - 9*j**3 + 4*j**2 + 7*j + 3 + 4*j + 10*j**3. Give 3*v(a) + 5*x(a). 2*a**3 - a**2 - a Let q(w) = -17*w - 3. Let n(p) = 33*p + 125. Let b(v) = -228*v - 914. Let x(s) = -6*b(s) - 44*n(s). Give -11*q(u) + 2*x(u). 19*u + 1 Let u(z) = -4*z - 9. Suppose 0 = -4*w + 5*w - 11. Let m(b) = 29*b + 118. Let i(j) = -671*j - 2750. Let c(n) = 2*i(n) + 47*m(n). What is w*u(o) + 2*c(o)? -2*o - 7 Suppose 97*r + 331 - 105 = -259. Let u(d) = d + 1. Let n(h) = -h + 3. Let z(i) = 4*i - 10. Let o(y) = 7*n(y) + 2*z(y). Determine r*o(s) + 2*u(s). -3*s - 3 Let m(p) = 3*p**3 + 2*p**2 - 1. Let q(s) = 8*s**3 + 6*s**2 + s - 489. Determine 6*m(z) - 2*q(z). 2*z**3 - 2*z + 972 Let a(d) = 1144*d**2 + 3*d - 320. Let t(u) = 381*u**2 + u - 113.
{ "pile_set_name": "DM Mathematics" }
7 - 47*t**2 + 135*t**2 - 318*t**2 - 17*t**3 + 16*t**3 - 172*t**2 wrt t? -3*t**2 - 804*t Let l(o) be the second derivative of 0*o**3 + 0*o**5 - 29/2*o**2 + 121*o - 1/4*o**4 + 0 - 11/10*o**6. Find the third derivative of l(t) wrt t. -792*t Let v(k) = -2*k + 8. Let y be v(3). Suppose y*u - 3*f = 7, -u + 2*u = 4*f + 6. What is the second derivative of 14*q + 16*q**2 - 11*q**u - 5*q + 3*q**2 wrt q? 16 Suppose -g + 33 = 2*g. Let y be ((-49)/(-21))/((-21)/(-18)). What is the second derivative of y*h**5 - g*h - 73*h**4 + 36*h**4 + 37*h**4 wrt h? 40*h**3 Differentiate 993*h**4 + 267*h**4 + 3208 - 22*h**4 + 1488*h**4 + 610*h**4 wrt h. 13344*h**3 Let p(i) = i**3 + 7. Let v(t) = -42*t**3 - 9*t**2 - 1145*t - 28. Let u(z) = -4*p(z) - v(z). Find the second derivative of u(d) wrt d. 228*d + 18 Let q(k) be the second derivative of 1793*k**7/21 - 331*k**4/4 - 445*k + 1. Find the third derivative of q(b) wrt b. 215160*b**2 Let f(d) = 5493*d**3 + 22*d**2 - 22*d + 7421. Let a(i) = -1099*i**3 - 4*i**2 + 4*i - 1484. Let h(k) = -11*a(k) - 2*f(k). What is the derivative of h(u) wrt u? 3309*u**2 Find the second derivative of 726*c - 4*c**5 - 66*c**4 - 1299*c + 791*c wrt c. -80*c**3 - 792*c**2 What is the first derivative of 3904*r**4 - 59*r**2 - 60*r**2 + 119*r**2 + 3190 wrt r? 15616*r**3 Let f(m) be the third derivative of 2959*m**8/336 + 857*m**4/6 + 4165*m**2. What is the second derivative of f(w) wrt w? 59180*w**3 Let w(q) be the second derivative of 743*q**6/15 - 1748*q**2 - 5269*q. What is the derivative of w(z) wrt z? 5944*z**3 Let u(j) be the first derivative of 133*j**6/30 + 83*j**4/12 + 19*j - 151. Let r(t) be the first derivative of u(t). What is the third derivative of r(m) wrt m? 3192*m What is the third derivative of 67*q**5 + 4*q**3 - 1844*q**2 - 622*q**2 + q**3 - 9*q**5 - 3042*q**2 wrt q? 3480*q**2 + 30 Let u(g) = -349*g - 1044. Let v be u(-3). Let f(k) be the first derivative of -26 + 0*k - v*k**4 - 16/3*k**3 + 0*k**2. Find the third derivative of f(a) wrt a. -72 Let n(z) = -z**4 - 2*z**3 + 1. Let w(v) = -1704*v**4 + 6*v**3 - 3*v**2 + 179. Let a(t) = -3*n(t) - w(t). What is the third derivative of a(s) wrt s? 40968*s Let x(z) be the second derivative of -922*z**5/5 - z**4/3 - 1177*z**3/6 - 92*z + 4. Find the third derivative of x(y) wrt y. -22128 Let f(b) = 1894*b**4 + 4802*b - 5. Let x(g) = 5682*g**4 + 14403*g - 14. Let z(v) = -14*f(v) + 5*x(v). Find the second derivative of z(m) wrt m. 22728*m**2 Let x(u) be the third derivative of u**9/72 - u**8/84 + 1249*u**5/60 + u**3/6 + 1842*u**2. What is the third derivative of x(b) wrt b? 840*b**3 - 240*b**2 Let h be -4*(-3)/6*2. Let f = 32 - 20. What is the third derivative of 12*d - f*d - 3*d**2 + 0*d**2 + 2*d**h wrt d? 48*d Let f(o) be the second derivative of 0*o**3 + 0 - 65/4*o**4 - 147/2*o**2 + 112*o. Find the first derivative of f(q) wrt q. -390*q Let d(y) = -y**2 + 9*y + 26. Let l be d(11). Find the second derivative of 18*w**4 - 1190*w - 1 + 1239*w - 6*w**l wrt w. 144*w**2 Let l(n) = 12266*n - 5824. Let i(x) = 2453*x - 1157. Let z(v) = -22*i(v) + 4*l(v). Differentiate z(y) with respect to y. -4902 Let g(j) = j**2 + 495*j + 8062. Let d(o) = o**2 + 246*o + 4035. Let z(n) = -5*d(n) + 2*g(n). Differentiate z(b) with respect to b. -6*b - 240 Let o(v) = v**2 - 10*v + 24. Suppose 5*c - 3*l - 33 = -l, -5*l = 4*c - 33. Let t be o(c). What is the derivative of -8 - 66*u**t + 39*u**3 - 6 wrt u? -81*u**2 Let c be 5 + (-3 - 9/(54/(-7860))). Find the first derivative of 218 + 0*m**4 - m**4 - 1312*m**2 + 8*m**4 + c*m**2 wrt m. 28*m**3 Let b(f) = -6*f**4 - 520*f**3 + 3*f**2 + 396*f + 6. Let w(g) = 3*g**4 - g**3 - g**2 - g - 2. Let r(h) = b(h) + 3*w(h). Find the second derivative of r(i) wrt i. 36*i**2 - 3138*i Let n(q) = 866*q**3 + 1997*q**2 - 40*q - 8. Let s(y) = -289*y**3 - 666*y**2 + 15*y + 3. Let g(l) = 3*n(l) + 8*s(l). What is the third derivative of g(w) wrt w? 1716 Let s(v) be the first derivative of v**6/2 - v**5 - 3*v**4/4 - 239*v**3 - v**2 - 2*v + 7758. What is the third derivative of s(i) wrt i? 180*i**2 - 120*i - 18 Let z(u) be the third derivative of -7*u**6/60 + 3*u**5/4 + 2659*u**3/6 + 8*u**2 - 150*u. Differentiate z(s) wrt s. -42*s**2 + 90*s What is the first derivative of -909*j**3 - 912 - 810*j**3 - 1337*j**3 - 2885 wrt j? -9168*j**2 Suppose -8*c + 1443 = 107. Suppose c*l - 172*l + 15 = 0. Differentiate 10*p**3 + 39 + 11*p**l + 0*p**3 with respect to p. 63*p**2 Let k be 4 - -12 - 1/(0 + -1). Find the third derivative of -147*q**3 - 7 - k*q**2 + 5 + 0*q**2 - 42*q**3 - 7*q**2 wrt q. -1134 Let o(c) be the first derivative of c**6/6 - 204*c**4 - 31*c**3/3 - 24*c - 736. Find the third derivative of o(k) wrt k. 60*k**2 - 4896 Find the second derivative of -413*t**2 - 2*t - 114*t**2 - 372 - 109*t**2 - 473*t**2 + 268*t**2 wrt t. -1682 Differentiate -3733*r + 4781*r - 1318 + 1721 + 4155 with respect to r. 1048 Let n(s) be the second derivative of 2057*s**6/30 - 933*s**2 + 1284*s. Find the first derivative of n(g) wrt g. 8228*g**3 Let q(b) = 668*b - 747. Let w(h) = -666*h + 775. Let u(g) = 4*q(g) + 6*w(g). Differentiate u(l) with respect to l. -1324 Let r = -1 + -31. Let i = 71 + r. Find the third derivative of 13*l**3 + 34*l**2 - i*l**3 - 11*l**2 wrt l. -156 Let y(u) = -u**3 - 6*u**2 - 10*u - 6. Let j be y(-4). Differentiate -101*t**j + 10*t - 68 + t - 11*t wrt t. -202*t Let o(j) = 36*j**3 + 2*j**2 - 8*j + 21. Let v be o(6). Find the third derivative of -v*f + 7821*f - 51*f**2 + 33*f**3 wrt f. 198 Let c be (1 - (1 - (-102)/(-2))) + -4. What is the first derivative of -16 + c + 55*x**4 - 24 - 10*x**4 wrt x? 180*x**3 Let x(r) be the first derivative of 316*r**4 - 38*r**3/3 - 2*r**2 + r + 5557. Find the third derivative of x(a) wrt a. 7584 Let b be 4/(-3)*3 - 16. Let z = 24 + b. What is the third derivative of 14*c**4 - 21*c**2 - 26*c**z + 9*c**4 + 5*c**4 wrt c? 48*c Suppose 120 = 2*w + 3*w. Let o(h) = w - 2 - 54 + 13*h. Let v(g) = -6*g + 16. Let n(a) = 4*o(a) + 7*v(a). What is the first derivative of n(x) wrt x? 10 Let d = 628 - 428. Suppose -5*t - 3*a + 185 = a, -d = -5*t - a. What is the first derivative of -4 - t*n - 1 - 3 + 25*n wrt n? -16 Suppose -9*k + 49691 - 11864 = 0. What is the second derivative of 4240*u + 3 + 19*u**2 - 2 - k*u wrt u? 38 Let o(w) = 25487*w - 16170. Let y(a) = 849*a - 539. Let q(g) = -4*o(g) + 121*y(g). Differentiate q(n) wrt n. 781 Let d(u) = -11*u - 9. Let r be d(-1). Find the first derivative of -47*z**4 - 238 - r*z + 220 + 2*z wrt z. -188*z**3 Let z = -10 - -14. Let f be ((-76)/(-6))/(14/105). Find the second derivative of -f*d + 120*d + 5*d**4 + 19*d**z wrt d. 288*d**2 Let h(y) be the first derivative of y**5/20 - 23*y**4/8 - 7*y**2 - 72. Let d(s) be the second derivative of h(s). What is the second derivative of d(j) wrt j? 6 Let m(y) be the second derivative of -137*y**4/12 - 2*y**3/3 + 1851*y**2/2 + 102*y - 4. What is the derivative of m(t) wrt t? -274*t - 4 Let c = 584/321 - 52/107. Let k(p) be the third derivative of -11/20*p**5 + c*p**4 + 0 + 0*p + 30*p**2 + 0*p**3. Find the second derivative of k(r) wrt r. -66 Suppose -18 + 2 = 4*a, 5*y = -2*a + 612. Suppose -13*q + 683 = y. Find the third derivative of -q*l**6 - 4*l**2 - 95*l**3 + 95*l**3 wrt l. -5160*l**3 Let t be (3 + -1)/2*1 + 2. Suppose k - t - 6 = 0. What is the third derivative of -4*u**2 + u**2 - 18*u**5 + k*u**2 wrt u? -1080*u**2 Suppose 2*x + 3*r = 5, -4*x - 5*r = -0 - 7. Let c be (12/(-3) - x)*17/(-2). What is the third derivative of 16*v**4 - 38*v**4 - v**2 + c*v**4 wrt v? -120*v Let k(d) be the third derivative of -281*d**2 + 179/24*d**4 + 59/20*d**5 + 0 + 0*d + 0*d**3. What is the second derivative of k(l) wrt l? 354 Suppose 25 = -3*u + 8*u. Let z be -3 - (u - 9 - 2). What is the second derivative of -10*f**z + 4 - 205*f + 199*f - 4 wrt f? -60*f Let c(a) = -61*a**3 + 65. Let u(j) = -185*j**3 + 195. Let n = -207 + 205. Let d(w) = n*u(w) + 7*c(w). What is the first derivative of d(k) wrt k? -171*k**2 Suppose 2 = 2*z + 3*w + 7, -2*z + w + 7 = 0. Differentiate 25*j**2 - 11*j**2 - 2*j**2 + 6*j - 64 - 6*j**z wrt j. 12*j + 6 Let k(x) be the first derivative of x**4/2 - 495*x**2/2 - 3228*x + 7484. Differentiate k(t) with respect to t. 6*t**2 - 495 Let r(l) = -2*l - 22. Let m be r(-10). Let h be (m + 4)*(-44)/(
{ "pile_set_name": "DM Mathematics" }
orm j*i + d*i**2 + f*i**3 + h and give d. -2 Express (2*x + 4 - 2 + 1)*(-902*x**2 + 2578*x**2 - 1 - 898*x**2) in the form g + f*x**3 + a*x**2 + p*x and give g. -3 Express (268 + 1255 + 707)*(2*g**3 - 4 + 4) - 2*g**3 - g**3 + 2*g**3 as v*g**3 + x*g + q + z*g**2 and give v. 4459 Rearrange ((26 - 150 + 12)*(-3 + 3 - 2)*(4 + 1 + 0)*(1 + 1 - 3) - 3 + 1 - 4)*(-2*s + 0*s + s) to p + u*s and give u. 1126 Express (88891*w**2 - 4852*w - 44445*w**2 - 44448*w**2)*(2*w - 4*w + w) as o*w**3 + z*w + p*w**2 + f and give p. 4852 Rearrange 11*t + 218*t**2 - 222*t**2 + 293*t - 2 + 0 + 1 to b + a*t**2 + y*t and give y. 304 Express 836*l**4 - 2 + 832*l**4 + 50*l**3 - 5*l**2 - 2507*l**4 + 838*l**4 in the form p*l**2 + o*l**3 + q*l + t*l**4 + v and give t. -1 Express (0*a + 2*a + a)*(4*a**3 + 4 - 4) + 334*a**4 - 532*a**3 + 532*a**3 as x*a**3 + f*a**2 + q*a + g*a**4 + h and give f. 0 Express 2*m - 302*m**2 - 12 + 92*m**2 + 114*m**2 + 22*m**3 - 2 + 91*m**2 as i + g*m + u*m**3 + t*m**2 and give g. 2 Express 15104*w - 552*w + 4437*w - 3 + 3 in the form x + i*w and give i. 18989 Express -4734*a - 1109*a + 21856*a + 6241*a as j + g*a and give g. 22254 Express 12403*o - 8243*o + 4251*o in the form l*o + t and give l. 8411 Rearrange -3*p**2 + 0*p**2 + 38 - 2*p**2 - 258 - 88 to the form r*p**2 + g + o*p and give g. -308 Rearrange 3245*o + 8508*o + 273*o + 14307 - 14307 to q + j*o and give j. 12026 Rearrange 305*n + 86*n + 84*n to t + z*n and give z. 475 Express 26*l - 58*l - 1 + 337*l**3 + l**4 - 2*l**2 + 2 + 35*l in the form j*l + w*l**2 + c*l**4 + p*l**3 + n and give w. -2 Express 3*h + 83 - 3*h**3 - 2*h + 344 - 2*h**2 as w*h + k*h**3 + q*h**2 + t and give q. -2 Express -u**2 - 32 + u + 42 - 31 - 4*u**3 as f*u**3 + p*u + a*u**2 + y and give a. -1 Rearrange t - t**3 - 435 + 23472*t**2 - 23473*t**2 - 1612 + t**4 to f*t**3 + m*t**4 + p + l*t**2 + q*t and give l. -1 Rearrange 4*b**2 - 2*b**4 + 4622867*b + 0*b**4 - 4622866*b - b**3 - 2*b**2 + 37 to the form k + u*b**2 + a*b**4 + j*b + g*b**3 and give u. 2 Rearrange -638*z - 791*z - 1197*z to p*z + n and give p. -2626 Rearrange (3 + 3 - 4)*(1550886 - 7188*i - 1550889 - 926*i) to o*i + t and give t. -6 Express 4886*d**2 - 301*d + 4897*d**2 - 9781*d**2 - 4*d**3 in the form v + g*d**2 + b*d**3 + r*d and give g. 2 Rearrange ((0 + 1 + 0)*(3*a - a - 4*a) + (103 - 103 + 4*a)*(-16 - 10 - 24))*(4*a - a + a) to the form y*a + j + m*a**2 and give m. -808 Rearrange -4347*t - 7871*t - 646*t - 2799*t to f*t + a and give f. -15663 Rearrange -82 - 31*s**2 + 29*s + 57*s**2 + 84 to the form l*s + q + h*s**2 and give l. 29 Rearrange -10*c - 8*c**3 + 312 + 315 + 2*c**3 - 898 + 270 to the form t*c**3 + f + x*c**2 + r*c and give f. -1 Express -301 + 238 - 21*j**2 + 222*j**2 + (-j + j - 2*j)*(2*j - j + 0*j) as k + o*j + g*j**2 and give o. 0 Express (-2*v - 2*v + 2*v)*(6 + 0 - 4) - 3*v + v + 7*v + (21 - 6 + 16)*(-3*v + 8*v - 2*v + (3*v + 0 + 0)*(7 - 2 + 3)) as d*v + y and give d. 838 Rearrange 32 - 21029*d**2 + 10509*d**2 + 10512*d**2 to i*d + k*d**2 + u and give u. 32 Express -2*n - 36467 + 36474 + 2*n - 32*n**2 + 0*n as u*n**2 + i*n + p and give u. -32 Express (0*f + 0*f + 2*f)*(-5 + 31 - 2) + 3*f + 2 - 2 + 1568 + 103*f - 1568 as x + q*f and give x. 0 Rearrange (3*i**2 - 4*i**2 - i**2)*(-143 + 138 + 756) + 2*i - i**2 - 2*i + (3*i + 0*i - 5*i)*(-i - 5*i + 4*i) to q*i + w*i**2 + t and give w. -1499 Express 49*d + 4*d - 51*d - 12 + 10*d - 25 + 25 + (5 - 2 - 4)*(-d + 3*d + 0*d) in the form u*d + p and give p. -12 Express -9 + 2*t**3 + 2*t**3 + 41*t**2 + 2*t**3 - 38*t**2 - 2*t + 6*t as o*t**2 + c + p*t**3 + x*t and give o. 3 Rearrange -5*a**2 + 2212*a**3 - 2210*a**3 + 9*a**2 - 59 + 7*a**2 + 11*a**2 to f*a + q*a**2 + c + v*a**3 and give q. 22 Express (-4 + 2*o + 0*o + 2)*(-2 - 3 + 4) - 37065 - 307854*o + 307858*o + 2720 in the form f + y*o and give f. -34343 Express 14 - 6*u + 2*u**4 - 10*u - 3*u**3 - 12 + 21*u as g + y*u**4 + w*u**3 + b*u**2 + p*u and give b. 0 Rearrange (-3*q + 3*q - 2*q)*(-3 - 3*q**2 + 3) + 695*q**3 - 1673*q**3 - 970*q**3 to t*q**2 + g + f*q**3 + o*q and give f. -1942 Express -210*q**2 - 7636*q**2 + 29*q**2 in the form i*q**2 + o*q + g and give i. -7817 Express 0*w + 627*w**2 - 188576*w**3 + 2*w + 188574*w**3 in the form u*w**2 + m*w**3 + l*w + j and give m. -2 Express 6 - i**3 + 255*i**4 - 3*i - 2*i**2 + 342*i**4 - 595*i**4 as a*i**4 + u*i**2 + v + o*i + y*i**3 and give v. 6 Rearrange (5357*s + 2102*s - 773*s)*(-5 + 3*s + 5) to n*s**2 + w*s + u and give n. 20058 Rearrange (2 - 4 + 1)*(-202 - 7073*b - 280 + 482) to f + v*b and give v. 7073 Rearrange -486*j - 2*j**2 + 5*j**3 + 0 - 1 + 444*j to the form b + q*j**2 + f*j**3 + i*j and give b. -1 Express (-2 - 4 + 5)*(-73 - 162 + 108)*(-1 + 1 - 2)*(-p + 1 - 1) in the form j + n*p and give n. 254 Express b**2 + b**2 - 52 - 56 + 6*b**3 + 2*b + 157 - 52 - 2*b**4 as v*b**4 + j*b**3 + y*b**2 + i*b + k and give v. -2 Rearrange -68367*x - 4 + 39892*x + 4 to a*x + y and give a. -28475 Express 4*d**3 + 36002848*d**2 + 263 - 36002848*d**2 - d as j*d + a + i*d**3 + h*d**2 and give i. 4 Express -13*d + 12 - 18*d - 13*d - 8 - 6 as o + g*d and give o. -2 Rearrange (2*l - 5*l + 5*l)*(2 - 3 + 2)*(59*l - 28*l + 20*l) + l**2 + 0 + 0 + (3*l + 4*l - 4*l)*(-9*l - 10*l + 15*l) to y*l + a*l**2 + k and give y. 0 Express 28*d**3 + 4*d + 0*d**3 - 9*d**3 - 3*d**2 + 60 - 17*d**3 + 2*d as y + x*d**2 + n*d + i*d**3 and give y. 60 Rearrange 0 - 106*b**2 + 985*b**2 - 3 + 634*b**2 + 238*b**2 to l*b**2 + g + j*b and give g. -3 Express 98*b - 385*b**2 + 129*b**2 - 1 + 125*b**2 + 130*b**2 in the form g*b**2 + a*b + q and give a. 98 Express (101 - 98 + 72)*(2 + 2 - 2)*(-66*y + 65*y + 102*y) in the form u*y + c and give u. 15150 Express -v**2 - 3*v**3 + 8 + 113*v**4 + 107*v**4 - 2*v + 115*v**4 - 16*v - 328*v**4 as n + t*v**4 + z*v**3 + r*v + d*v**2 and give n. 8 Rearrange -92*f - f**2 + 71*f - 3 + 44*f + 4*f**2 - 9*f**2 to v*f**2 + t + q*f and give t. -3 Rearrange ((-2 + 2 - 2)*(-22 + 22 - 9*a) + (6 - 2*a - 6)*(0 - 3 + 1) - 4 + 4 - 2*a)*(1 - 1 + 2) to c + g*a and give g. 40 Express 1710 - 340*q**2 - 850 + 118*q - 856 - 207*q**2 - 119*q as m*q**2 + a + i*q and give i. -1 Express 1 - 1602*x**4 - 61*x + x**2 + 2*x**2 + 1604*x**4 as a*x + u*x**3 + d*x**2 + j*x**4 + s and give j. 2 Express -37*p**3 + 6054*p + 6044*p + 2*p**2 - 11973*p in the form j + l*p**3 + d*p + u*p**2 and give l. -37 Rearrange (0 - 1 + 5)*(348 - 690 + 342 - 2621*n) + 4*n + 0*n - 2*n to the form r*n + x and give r. -10482 Rearrange 3*m**3 + 2*m**3 - 3*m**3 + (1 + 5 - 5)*(-380*m - 6240 + 6240)*(-5 + 5 + 3*m**2) to r*m**3 + o*m + x*m**2 + a and give o. 0 Express -12396 + 12396 + 595*l**2 in the form o*l**2 + f*l + b and give o. 595 Express -3267 - 6*u**2 + 2258 - u**3 + 4*u**2 - 3122 as h + n*u**3 + b*u + j*u**2 and give j. -2 Express (2 - 3 - 2)*(48 + 37*x - 17*x + 85*x - 38 + 15*x) as z*x + m and give z. -360 Rearrange 2 + 1196*k - 8367*k + 1063*k to m*k + g and give g. 2 Express (-38*p - 319 + 319 + p + 3*p - 2*p + (p - 3*p + 4*p)*(3 - 4 - 1))*(1 + 2 - 5) in the form c*p + o and give c. 80 Rearrange (-3*n - 92*n - 17*n)*((4 - 4 + 3)*(-13 - 2 + 1) + 2 + 0 + 0) to the form t*n + a and give t. 4480 Rearrange -1962*c**2 + 2154*c**2 + 1291*c**2 + 2378*c**2 to n + q*c + p*c**2 and give p. 3861 Express -2*u**2 - 6*u**2 + 3*u**2 + (49 + 71 + 60)*(-7*u**2 - 3*u**2 + 2*u**2) in the form w*u**2 + s*u + b and give w. -1445 Express -35929204 + 35929204 + 10099*d**2 as i*d + r + n*d**2 and give n. 10099 Rearrange 2*n - 2 - 2*n**2 - 16*n**2 - 2*n**2 - 6*n**2 - 41 to v*n + d + r*n**2 and give r. -26 Rearrange -34 + 21 + 10*w**2 + 59 + 2*w**3 - 11*w + 6*w to m*w**3 + s + f*w**2 + v*w and give f. 10 Rearrange (t**2 + 0*t**2 - 4*t**2)*(-814 + 1851 - 893 + (1 - 8 - 2)*(-4 + 0 + 2)) to f*t**2 + w*t + k and give f. -486 Rearrange (-2*c + 0*c + 0*c)*(47*c - 90*c + 98 + 46*c) to m + i*c + j*c**2 and give j. -6 Express 458*p**2 - 432*p**2 - 2*p + 3184 - 3188 as t + h*p + m*p**2 and give h. -2 Rearrange (3*r + 3*r - 4*r)*(-50 - 51 - 215*r + 101)*(7*r - 12*r - r) to the form w*r**3 + h*r + p + b*r**2 and give w. 2580 Express -45 - 18 + 2563*z**2 + 63 + 5829*z**2 as g*z**2 + q*z + w and give g. 8392 Express (4 - 4 + 110*x + 508*x)*(-1 - 1 + 1)*(2*x**3 + 20*x**3 + 4*x**3) in the form k*
{ "pile_set_name": "DM Mathematics" }
Solve 0 = -f*s - 2 + 6 for s. 2 Let s(j) = -4*j + 16. Let c be s(6). Let i(h) = h + 13. Let k be i(c). Solve -21 + 6 = -k*r for r. 3 Suppose -37*g + 40*g - 35*g = -1088. Solve -32*l = -g*l + 4 for l. 2 Let c = -4657 - -4659. Let p be (-1)/2*(-4 - (9 + -5)). Solve -p = -c*t + 6*t for t. -1 Suppose 0 = -5*d - 4*u + 100, 0 = 2*d + 42*u - 41*u - 37. Solve 23*j = 32*j - d*j for j. 0 Suppose -316 = -s - 299. Solve -6 = 23*v + s for v. -1 Suppose 11 = 12*x - 25. Suppose -4*p = 4*o - 12, -3*o = -0 + x. Solve -p*s = -7*s + 12 for s. 4 Let f be 868/42 - 20 - (-58)/3. Solve -16*y + f*y = -8 for y. -2 Suppose -3*q = q + 264. Let v = q + 72. Let w(r) = r**3 - 6*r**2 + r - 4. Let l be w(v). Solve 10 + l = -3*n for n. -4 Let x(d) = 5*d**2 + 7*d + 13. Let f(t) = 27*t**2 + 35*t + 68. Let k(q) = 2*f(q) - 11*x(q). Let a be k(-2). Solve -5*p + 4*p - a = 0 for p. -3 Let j(g) = -g**2 + 16*g + 10. Let a(d) = -4*d**2 + 49*d + 29. Let s(z) = -2*a(z) + 7*j(z). Let w be s(-14). Solve -2*o + w = 2*o for o. 3 Let w(i) = 3*i + 18. Let l be w(-5). Suppose -1 = -d - 8. Let c(s) = s**2 + 10*s + 23. Let t be c(d). Solve l*z = -t*z for z. 0 Suppose -125*x - 13951 + 93151 = 73*x. Solve -x*y = -396*y + 4 for y. -1 Suppose 2*c + 2*c = -5*l + 17, 5*l - 35 = 5*c. Suppose -3*s = -l*s - 10. Let z be (-8)/s - (-18)/150*-5. Solve 0*v = -v + z for v. 1 Suppose 0 = -2*c + 20 - 2. Suppose -177*m + 179*m = 5*r - 3, 4*r - m - 9 = 0. Solve -c*g = -r*g for g. 0 Suppose 0 = 3*d - 4*d + 3. Suppose -140*n + 141*n + 3*k = -12, -5*k - 36 = -n. Solve -h = -n + d for h. 3 Let q be 76/(-8)*2*-1. Suppose 5*c + 4 - q = 0. Suppose -4 = c*z - 5*z. Solve z*f - 1 = 1 for f. 1 Let j(x) = 2*x**2 + 54*x + 32. Let y be j(-26). Let z(w) = -w**2 - 21*w - 12. Let o be z(y). Solve -2*p - o = -4 for p. -2 Suppose 141 + 64 = 5*q + 5*r, 2*q - 4*r = 46. Solve 24*f = -11*f - q for f. -1 Let v be (-5 - 18/(-4))*0. Suppose u + 2 - 17 = -4*o, -5*o - 4*u + 16 = v. Solve o*t = t - 6 for t. -2 Suppose -4*y - 15 + 31 = 0. Let a be ((-12)/y)/(-12) + 15/4. Let x be 5/(11/(-3) + a). Solve -2*o - o = -x for o. 5 Suppose -35*m + 1362 = -4212 + 744. Solve -132*k + m*k = -12 for k. -2 Let l be (86/(-3))/((-18)/27). Suppose 4*m - s - 22 = 18, -3*m + l = -4*s. Suppose 4*p = m - 1. Solve p*k + 6 = 5*k for k. 2 Let j(b) = 10*b**2 + 16*b - 29. Suppose 392*s + 26 = 405*s. Let z be j(s). Solve -6 = z*u - 41*u for u. -3 Let j be 30/(-5)*(-20)/8. Solve 0 = -j*d + 17 - 2 for d. 1 Let b = -469 + 472. Suppose 2*r - 52 = -4*p, -3*p - b*r = 2*p - 66. Solve p = -3*d + 7*d for d. 3 Let p(l) = -11*l - 10. Let s(d) = -5*d - 5. Let y(c) = 2*p(c) - 5*s(c). Let a be y(7). Let g = -21 + a. Solve -g*z - 9 + 29 = 0 for z. 4 Let b(z) = z**3 + 2*z**2 + 4. Let p be b(0). Suppose -3*l + 25 - p = 0. Solve l*f - 6*f = 4 for f. 4 Let u = 1283 - 1283. Solve u = -2*q + q - 3 for q. -3 Suppose 144*w = 145*w - 12. Suppose -28*n = -34*n + w. Solve c = -1 + n for c. 1 Suppose -5*f + 3*i + 2 = -3, 5*f - 45 = -5*i. Let t = -86 + 86. Suppose a - 3 = -3*h, -6*a + 5*a + 2*h - 2 = t. Solve a = -f*u + 6*u + 4 for u. -2 Let w = -12 - -18. Let y be (3 - 1)*222/12. Solve 35*a - w = y*a for a. -3 Let k be (-3 + 4)*0/(1/(-1)). Let v be (-3 - -8) + -1 + (2 - k). Solve b + v = -b for b. -3 Let f(w) = -w**3 - 15*w**2 - 7*w + 100. Let a be f(-14). Suppose -2*t = r, 5*t = a*r + 3*r - 15. Solve r*m - 15 = -11 for m. 2 Suppose 5*k - 9 = -4. Suppose 0 = 5*f - f - 3*s - k, -2*f + 13 = s. Suppose 3*r - f*r + 20 = 0. Solve 5*u = -0*u - r for u. -4 Suppose -8*x + 183 - 791 = 0. Let p = x + 86. Suppose -2*b = -3*b + 5. Solve p = b*f - 15 for f. 5 Let s(n) = -n**3 - 16*n**2 - 21*n - 14. Let x be s(-15). Let w = -79 + x. Let r be (0 - (-6)/(-2))/(w/2). Solve 0 = -r*m + 4 + 2 for m. 3 Let a(v) = 4*v + 46. Suppose -340 = 4*i + b, -2*i - 4*b = -i + 100. Let y = -94 - i. Let r be a(y). Solve r*w + 10 = w for w. -2 Let q be (528/40 + -12)/(1/(-30)). Let i be 8/q - (-14)/63. Solve -4*o - 2*o + 6 = i for o. 1 Let v = -224 - -228. Suppose -v*b - 24 + 32 = 0. Solve 0 = 5*c + b - 22 for c. 4 Let f(j) = -2*j**2 - 49*j + 876. Let s be f(12). Solve s = 37*m - 158 + 47 for m. 3 Let n(w) = -w**3 - 13*w**2 - 12*w + 3. Let k be n(-12). Suppose -10 = -5*b + 2*u, -3*u = -7*u - 20. Let c = -5 - -5. Solve v + b + k = c for v. -3 Suppose f - 2 = 0, 2*f - 39 = -4*o - 23. Suppose 0 = 4*v - 4*k, 2*v + 3 = o*k - 2. Solve -v*m - 6 = -2*m for m. -2 Let q(g) be the first derivative of 9*g**4/4 + 3*g**2/2 - 2*g + 11. Let r be q(1). Solve j = -j + r for j. 5 Suppose 12 = -3*t, 0 = 3*h + 4*t + 8 - 1. Suppose 0 = -3*f - h*g + 24, 1 = f - 2*g - 7. Solve 5*k + f = 3 for k. -1 Let l be 90 - 1 - (-3 - (-32)/4). Let p = l + -76. Solve d - p = 5*d for d. -2 Let s(v) = -v + v**3 - 35*v**2 + 4 - 38*v**2 - 41*v**2 + 116*v**2. Let u be s(0). Suppose -i = i - 30. Solve -z = -u*z - i for z. -5 Let d be (-34)/51 + (-8)/6. Let i be 32/14 - 6*d/(-42). Solve -i*z = -2 - 4 for z. 3 Let u be 10496/1536 - (0 + (-5)/(-6)). Solve 1 = u*v + 13 for v. -2 Suppose 5*t = 5*m - 520, -4*m - 136 + 552 = 4*t. Let u = m + -104. Solve u*k = -3*k - 15 for k. -5 Let p(t) = -4*t - 10. Let a be p(-4). Suppose 0 = -a*o + 3*o + 3*k + 3, -5*o + 45 = 3*k. Let f = 10 - 8. Solve f*i - 2 + o = 0 for i. -2 Let x be 2/(-7) + 2752/224. Let f be (-192)/18*((-39)/x - -1). Solve z - f = 7*z for z. -4 Let k be 35 - (450/(-9))/(-5). Let j = -30 + 40. Solve k = 5*l - j*l for l. -5 Suppose 249*l - 488*l = -255*l + 32. Solve 0 = 22*y - 24*y - l for y. -1 Let v = 29 - 29. Suppose 483 = 2*z - 6*z + 507. Solve v = -0*l - z*l - 12 for l. -2 Let c(m) = -m**2 - 42*m - 75. Let u be c(-40). Solve u*o + 204 = 184 for o. -4 Let i(k) be the second derivative of -k**5/20 + 7*k**4/6 + k**3/3 - 12*k**2 + 145*k. Let f be i(14). Let s = -14 + 24. Solve -f*b + s = -2 for b. 3 Let g = -246 + 246. Solve g = 5*t - 14*t for t. 0 Suppose 48*k = -5 + 5. Solve -2*f - 107 + 103 = k for f. -2 Suppose -5*v + 2 - 111 = -4*z, -3 = 3*v. Solve 9*s = -z*s - 210 for s. -6 Let j be ((-70)/(-40) - 1)/(3/20). Suppose 0*f + 5*f + j*h - 45 = 0, h = 4. Solve -3*w = -f*w + 4 for w. 2 Suppose 4*b = 8*b - 5*z - 31, 0 = 5*b - 5*z - 35. Let i be (b/(-6) - 0)/(114/(-171)). Let k be (13 - 14) + i*4. Solve -k*y + 4 + 2 = 0 for y. 2 Let y = -20421 - -20463. Solve -19*h - y - 53 = 0 for h. -5 Let l be -2 + ((-4)/(-4) - -19). Suppose 4*s - 4*o = l + 14, o + 32 = 5*s. Solve s*r = 11*r - 5 for r. 1 Let v(o) = -3*o**3 - 163*o**2 + 112*o + 126. Let r be v(-55). Solve -a - r*a = -85 for a. 5 Let p be ((-30)/(-20))/(1/2). Suppose 12 = 2*g - p*o - 2*o, 3*g = -2*o - 1. Let a be (-2)/(-4*g/(-4) - 2). Solve -5 = b - a for b. -3 Suppose 5*p - 88 = -n, 14*p + 4*n = 11*p + 46. Solve -15 + 159 = p*x for x. 8 Let r be (-1 - (-1)/7)/(162/(-756)). Solve 0 = r*p - 6*p + 4*p for p. 0 Suppose -6*s = -13*s + 14. Suppose 0*a = -d - 3*a + 8, -4*d - s*a + 22 = 0. Solve -d = -3*f + 10 for f. 5 Suppose 3*h - 24 = m, 5*m - h + 30 + 104 = 0. Let f = 41 - m. Let v = 77 - f. Solve -3*g + 0*g = -v for g. 3 Let f = 8279 - 8194. Solve 68*y - 51 = f*y for y. -3 Suppose u - 542 = -3*l, -2*l - 174 = -3*l + 3*u. Let g = 180 - l. Solve g = -x - 4 for x. -4 Let a(s) = 2*s**2 + 57*s + 471. Let w be a(-12). Solve -19 = 14*k - w for k. 4 Let q be 2/(-5)*10 + 64 + 12. Solve 6*j = 36 - q for j. -6 Let g be ((-2976)/(-1632))/(2/34). Solve 0 = 22*x + 57 + g for x. -4 Suppose -3*g + 128 = t + 110, 0 = -2*t - 2*g + 56. Solve -25*o = -t - 17 for o. 2 Suppose 4*j = 3*q + 320, 80 = -j + 2*j - q. Let x = j + -82. Let n = x - -5. Solve 0 = -n*z + 2 + 1 for z. 1 Let p(x) = -22*x - 22. Let t be p(-1). Suppose 6*c + 36 = 3*c. Let l = c - -14. Solve t*q - 2 = -l*q for q. 1 Let w(p) = p**3 + 7*p**2 + 11*p + 43. Let j be w(-6). Suppose q = -3*s + 23, 2*s - q = s + j. Solve 4 = 5*i + s for i. -1 Let t(h) = -3*h**2 - 2*h - 5. Let u be t(-9). Let j = u - -236. Solve 3*n + j = 3 for n. -1 Suppose -3*r + 4*r = 2*s + 3, 0 = s + 2*r - 6. Suppose 3*c = -2*u - 2*u + 55, -2*u + c + 35 = s. Let a = -15 + u. Solve i - 2*i = a for i. -1 Suppose -3*d - 22 = -5*n, -8 = -n + 6*d - 9*d. Suppose 5 = -n*o + 20. Solve 3 = o*c + 18 for c. -5 Let u be 10*6/(-12) - -47. Let o = 45 - u. Solve 8 = -o*k + 2 for k. -2 Suppose 3*h = r - 2102, -16*h + 17*h + 5*r = -690. Let u = -670 - h. Solve -7*z = -z - u for
{ "pile_set_name": "DM Mathematics" }
when (-1 + -78 + 1)/h is divided by 10. 9 Let c be 76/(-5)*10/(-4). Suppose 15*j - c = 13*j. What is the remainder when 75 is divided by j? 18 Let l = -339 + 531. Suppose 2*x - r + 70 = l, 5*r - 290 = -5*x. Calculate the remainder when x is divided by 21. 18 Let r(q) = -q**3 - 22*q**2 - q + 26. Calculate the remainder when r(-22) is divided by 17. 14 Suppose a = 2*a - 2. Suppose u - 5 = 2*l, a*l + l = -6. Calculate the remainder when 7 is divided by (-12 - 3)/(-3)*u. 2 Suppose 0 = 5*a + 4*v - 241, v - 65 + 286 = 5*a. Calculate the remainder when a is divided by 25. 20 Suppose -4*n = -16, 2*q - 1 - 5 = -2*n. Let y(u) = u**3 + 2*u**2 - 3*u + 3. Let p be y(-3). What is the remainder when 111 - (-1 + q + p) is divided by 28? 26 Let g = -66 + 71. Suppose 5*j - 3*a - 671 = 0, -803 = -g*j + a - 126. Calculate the remainder when j is divided by 35. 31 Suppose 12 = -o + 4. Calculate the remainder when (-4 + 9/(-6))*o is divided by 15. 14 Let q = -57 - -59. Suppose -v = q*v - 153. What is the remainder when v is divided by 14? 9 Let k = -59 - -83. Suppose 3*i - k - 6 = 0. What is the remainder when i is divided by 4? 2 Let v be (-42)/35*(-10)/3. Suppose 3*z = v*z. Suppose z*s = s - 26. Calculate the remainder when 49 is divided by s. 23 Suppose 4*t + 40 = 6*s - 4*s, -t = -5. What is the remainder when s is divided by 21 + (-60)/(12/2)? 8 Suppose 233 = 3*w - t, -2*w - t + 98 = -59. What is the remainder when w is divided by 20? 18 What is the remainder when 588 - 12/8*(-24)/(-9) is divided by 5? 4 Let n(b) = -b**3 - 4*b**2 + 35*b + 16. What is the remainder when n(-9) is divided by 12? 10 Suppose 2 = -5*k + 12, 2*t = k + 66. Calculate the remainder when 202 is divided by t. 32 Let l(r) = -r**2 + r + 16. Suppose 4*x - 5*a + 4 = -1, -3*a + 3 = x. What is the remainder when 1729/28 + 6/(-8) is divided by l(x)? 13 Let m(r) = 14*r + 608. Suppose 4*a + 5*o = 7, 3*a - 13 + 4 = -3*o. Suppose 0 = -2*f - 0*f + a. Calculate the remainder when m(-43) is divided by f. 2 Let c(u) = u**3 + 13*u**2 + 17. Calculate the remainder when c(-13) is divided by 6. 5 Suppose -63 + 129 = 11*m. Calculate the remainder when 187 is divided by m. 1 Let l = -34 + 30. Let z = l + 13. What is the remainder when 17 is divided by z? 8 Suppose -2*g + 0*g - 3*g = 0. Let y = g + 12. What is the remainder when 35 is divided by y? 11 Let t(f) = 149*f - 6. Let u be t(2). Let g = 450 - u. Calculate the remainder when g is divided by 40. 38 Let o(p) = 3*p**3 + 1. Let t be ((-30)/(-45))/(1/27). Let j(q) = -q**3 + 17*q**2 + 19*q - 16. Calculate the remainder when o(1) is divided by j(t). 0 Let v(i) = 2*i**2 - 15*i + 15. Let b(f) = f + 2. Let h be b(0). Suppose 12 = -h*s + 34. What is the remainder when v(s) is divided by 31? 30 Let a be (679 - 1)*14/(-42). What is the remainder when a*9/(-54) - (-4)/3 is divided by 14? 11 Let i = 1 + 3. Suppose 3*g - 25 = 2*u, 2*u = i*g + g - 23. Let m = 51 + u. What is the remainder when m is divided by 13? 11 Suppose 0 = -18*d + 250 + 200. What is the remainder when 50 is divided by d? 0 Let k(t) = 8*t - 261. Calculate the remainder when 121 is divided by k(33). 1 Let f(s) = s**2 + 10*s - 11. Let a be f(-10). Let g(v) = v + 11. Let l be g(a). Suppose l = -z + 2*z - 34. What is the remainder when z is divided by 9? 7 Let l = 956 - 915. Suppose -11 = 3*g + 4. Let n = g + 27. What is the remainder when l is divided by n? 19 Let a(l) = l**2 + 4*l + 9. Let t = -1718 - -2762. Suppose -q + t = 8*q. Calculate the remainder when q is divided by a(-7). 26 Suppose -4 = 4*g, 17*g - 12*g - 234 = -l. Calculate the remainder when l is divided by 60. 59 Let n = 138 - 95. Let z(q) = q**3 + 15*q**2 - 17*q - 5. Calculate the remainder when n is divided by z(-16). 10 Suppose -3*p + 3*z - 30 = 0, -2*p - 10 = -p - 5*z. Let i = -3 - -7. Calculate the remainder when (-3 + p)*(-5 + 4) is divided by i. 1 Let d(a) = a**3 - 5*a**2 + 5*a - 1. Let f be d(4). Suppose 3*g - 64 = -2*r - f*r, -3*g - r = -44. Calculate the remainder when g is divided by 8. 5 Let x(r) = r - 4. Let c be x(7). Suppose -70 = -2*a - c*a. Let s = 33 - a. What is the remainder when 37 is divided by s? 18 Suppose 2*r - 375 = 3*k, 17*r - 5*k - 562 = 14*r. What is the remainder when r is divided by 28? 21 Let g = -255 - -277. What is the remainder when g is divided by 9? 4 Let f = 437 + -409. What is the remainder when 44 is divided by f? 16 Let s(m) = -m + 2. Let f be s(2). Let q = 6 - -1. Suppose f = -y + q*y - 78. Calculate the remainder when y is divided by 8. 5 Let b(q) = -130*q + 102. What is the remainder when b(-2) is divided by 33? 32 Suppose 3*s - 529 = -115. Let h = -97 + s. What is the remainder when h is divided by 7? 6 Let h(w) = 45*w**2 - 24*w - 111. Calculate the remainder when h(-4) is divided by 12. 9 Let r(n) = n**2 + 4. Let p = -155 + 158. Suppose 4*a - 199 = p*l, -l = 5*a - 0*l - 244. Calculate the remainder when a is divided by r(3). 10 Let s = -79 - -83. Calculate the remainder when 50 is divided by ((-16)/(-3))/s*360/16. 20 Let n be (9/(-3) - (-12)/2)/1. What is the remainder when (0 + (-45)/(-25))/(n/45) is divided by 10? 7 Let f(b) = b**2 - 4*b + 2. Let g be f(5). Let i(j) = j + 7. Let z be i(0). Let p = z + g. Calculate the remainder when 55 is divided by p. 13 Suppose 3*g = -13 + 226. Let o = -86 - -98. Calculate the remainder when g is divided by o. 11 Suppose -2*h = 3*n - 4, -4*h = n - 4*n + 28. Let k(i) = i**3 + i**2 + 37. Calculate the remainder when k(0) is divided by -16*(h - -3) - (3 - 0). 11 Calculate the remainder when (-1450)/(0 + -5)*(-7)/(-14) is divided by 37. 34 Let y be (2 + (0 - -3))*-1. Calculate the remainder when (0 + 4/8)*22 is divided by (-7 - y)*(-3 + 1). 3 Let q(d) = d + 2. Let r be (1/(-3))/(1/(-9)). Let t be q(r). Suppose -h + 3*h - 44 = x, -5*h + t*x = -110. Calculate the remainder when h is divided by 5. 2 Suppose 2*b - 48 = 70. Suppose -4*m = -0*m + 12, -2*l - 2*m + 28 = 0. Suppose 4*f - r = 77 - l, 2*r - 30 = -2*f. Calculate the remainder when b is divided by f. 14 Let k be 1/3 + 35/3. Let d be (44/36 - (-10)/(-45)) + 10. Suppose k = z - d. What is the remainder when 89 is divided by z? 20 Let i = -3 + -69. Let c = 90 + i. What is the remainder when 28 is divided by c? 10 Let c(z) = 9*z**2 + 2*z + 1. Suppose -4*n + 136 = 5*f + 19, n + 4*f = 21. Calculate the remainder when (-2296)/(-77) - (60/n + -2) is divided by c(-1). 6 Let m be (-4 - (-11)/2)*2. Suppose m*c - 8*c = -50. Calculate the remainder when 11 is divided by c. 1 Let g(n) = -5*n - 30. Let w be g(-7). Suppose 3*u - 73 = 4*z, 3*z - 89 = u - w*u. What is the remainder when 44 is divided by u? 21 Let n(h) = -h**2 + 13*h - 12. Suppose -a + 5*x + 20 = 0, 5*a + 4 - 20 = -3*x. What is the remainder when 82 is divided by n(a)? 26 Suppose h + 3*p = 206, -5*p = -39 + 14. Calculate the remainder when h is divided by 16. 15 Let c(f) = 48*f - 22. What is the remainder when c(2) is divided by 38? 36 Let n = 325 + -76. Suppose -3*o + 334 = 4*q, -3*q + 0*q - 3*o = -n. Calculate the remainder when q is divided by 30. 25 Let n(m) = -m**3 + 36*m**2 + 203*m + 84. Calculate the remainder when 16 is divided by n(41). 0 Suppose 3*t + 76 = -2*m, -t + 3 = -3*m + 21. Let a be 2/(-6) + (-128)/t. Suppose a*g - 46 - 79 = 0. What is the remainder when 47 is divided by g? 22 Suppose -2*s + 11 = -4*m - 17, -3*m - 24 = -2*s. Calculate the remainder when 347 is divided by s. 5 Suppose -l - 2916 = 2967. Let w be l/(-21) - 2/14. Suppose -2*j - 5*y + 0*y = -121, -5*y + w = 5*j. What is the remainder when j is divided by 14? 11 Let b = 265 - 218. Calculate the remainder when 135 is divided by b. 41 Suppose 66 = 5*w - 449. What is the remainder when w is divided by 26? 25 Let q = 40 - 28. Calculate the remainder when 69 is divided by (-9)/q*(-1 - 23). 15 Suppose 5*r = 3*q - 17, 36 = 3*q + 5*r - 31. Let i(l) = 5*l**2 + l. Let u be i(1). Suppose u*k - 20 = k. What is the remainder when q is divided by k? 2 Suppose 0 = 2*f + 4*n + 120, -2*f + 3*f + n = -55. Let l be f*((-24)/(-15) - 2). Suppose -7*u + l = -5*u. Calculate the remainder when 29 is divided by u. 9 Let n = -9 + 14. Let l(f) = -f**2 - 6*f + 9. Let z be l(-7). Suppose -4*i = -3*g - 87, 2 = -z*g - 0. What is the remainder when i is divided by n? 1 Let g = 115 - 98. Let n(f) = -22*f -
{ "pile_set_name": "DM Mathematics" }
95629312*r/5 - 1311598656/5 = 0. -6036, -1, 1/3, 18 What is s in s**5/6 + 3*s**4/2 + 25*s**3/6 + 9*s**2/2 + 5*s/3 = 0? -5, -2, -1, 0 Suppose z**2/4 - 279*z/4 + 2227/2 = 0. What is z? 17, 262 Factor -s**2 - 7287*s - 7286. -(s + 1)*(s + 7286) Factor -2*m**2/19 + 29380*m/19 - 29378/19. -2*(m - 14689)*(m - 1)/19 Suppose -3*z**2 - 357*z + 11826 = 0. What is z? -146, 27 Factor -h**2/4 + 8388*h - 70358544. -(h - 16776)**2/4 What is v in 50*v**4/9 + 1010*v**3/9 + 4558*v**2/9 - 5618*v/9 = 0? -53/5, 0, 1 Factor 3*j**3 - 52*j**2/3 - 85*j - 18. (j - 9)*(j + 3)*(9*j + 2)/3 Factor 2*p**2 - 3328*p + 1233198. 2*(p - 1107)*(p - 557) Find v, given that -v**3 + 1091*v**2 - 1090*v = 0. 0, 1, 1090 Solve 4*m**2/3 - 104*m/3 - 620/3 = 0. -5, 31 Determine h, given that -36*h**4/5 - 200*h**3 - 5932*h**2/5 + 1368*h/5 = 0. -19, -9, 0, 2/9 Solve -2*a**2 - 5314*a - 52940 = 0 for a. -2647, -10 Factor 6*y**2 + 17818*y - 220668. 2*(y + 2982)*(3*y - 37) Factor -h**3 + 569*h**2 + 570*h. -h*(h - 570)*(h + 1) Find g such that -2*g**5/5 - 2148*g**4/5 - 591478*g**3/5 - 7863052*g**2/5 + 118296*g + 1573040 = 0. -530, -14, -1, 1 What is p in p**5/4 - 214*p**4 + 48596*p**3 - 1159268*p**2 - 8342100*p - 11654928 = 0? -4, -2, 34, 414 What is t in 4*t**3/7 - 8592*t**2/7 + 4740084*t/7 - 134577720/7 = 0? 30, 1059 Factor 2*s**2 + 2054*s + 526752. 2*(s + 496)*(s + 531) Solve 227919409*p**2 - 181164*p + 36 = 0. 6/15097 Factor -2*n**4/11 - 150*n**3/11 + 7866*n**2/11 + 599886*n/11. -2*n*(n - 63)*(n + 69)**2/11 Determine o so that 5*o**3 - 1340*o**2 + 9195*o - 15660 = 0. 3, 4, 261 Solve 5*p**2 + 12980*p - 12985 = 0 for p. -2597, 1 Determine v so that 8591847*v**4 - 3124066*v**3 + 283940*v**2 + 8*v = 0. -2/71007, 0, 2/11 Factor v**4/7 - 366*v**3/7 + 4836*v**2 - 9464*v. v*(v - 182)**2*(v - 2)/7 Factor 2*v**2/15 + 4424*v/5 - 10624/3. 2*(v - 4)*(v + 6640)/15 Factor 310*g**2 + 23866*g/7 - 44/7. 2*(g + 11)*(1085*g - 2)/7 Factor 4*s**3 + 670024*s**2. 4*s**2*(s + 167506) Let 7*j**3 - 39755*j**2 - 28402*j + 11360 = 0. Calculate j. -1, 2/7, 5680 Determine k so that -3*k**5/5 - 1974*k**4 - 10830663*k**3/5 - 3971190504*k**2/5 - 7866763584*k/5 + 11848794624/5 = 0. -1096, -3, 1 Suppose -50*z**3/13 - 1504*z**2/13 + 110*z + 124/13 = 0. What is z? -31, -2/25, 1 Suppose 4*w**5 + 33292*w**4/5 - 9332*w**3 - 19964*w**2/5 + 9328*w - 13328/5 = 0. What is w? -1666, -1, 2/5, 1 Find q, given that -12*q**4 + 7060*q**3 + 47444*q**2 + 92748*q + 42840 = 0. -3, -2/3, 595 Find a such that 5*a**2 + 650450*a + 21154260125 = 0. -65045 Solve -i**4 + 766*i**3 - 5317*i**2 + 3024*i + 9108 = 0. -1, 2, 6, 759 Suppose 2*s**2/3 + 902*s/3 - 6280 = 0. What is s? -471, 20 Find j, given that -4*j**2 - 5016*j - 1572516 = 0. -627 Let 2*l**2/3 - 107948*l/3 + 35982 = 0. Calculate l. 1, 53973 Factor 2*q**3/17 - 624*q**2/17 - 41238*q/17 - 622340/17. 2*(q - 370)*(q + 29)**2/17 What is h in h**4/7 - 94*h**3 + 107577*h**2/7 + 219780*h/7 - 326700/7 = 0? -3, 1, 330 Factor -k**3 - 1895*k**2 - 28226*k - 48880. -(k + 2)*(k + 13)*(k + 1880) Factor -16*s**3 + 10560*s**2 - 10548*s + 2636. -4*(s - 659)*(2*s - 1)**2 Let 82*g**3 + 9014*g**2/5 - 132*g/5 = 0. Calculate g. -22, 0, 3/205 Factor -m**3/2 - 613*m**2/2 - 32332*m - 32026. -(m + 1)*(m + 134)*(m + 478)/2 Factor -4*y**2 + 861980*y. -4*y*(y - 215495) Find h, given that -6*h**5 + 171*h**4 - 1470*h**3 + 3825*h**2 = 0. 0, 5, 17/2, 15 Suppose -3*j**4/4 + 69*j**3/2 - 675*j**2/4 - 2199*j - 1995 = 0. What is j? -5, -1, 14, 38 Suppose 5*u**2 + 2486285*u = 0. Calculate u. -497257, 0 Suppose 12*z**3 + 3807732*z**2 + 3807723*z + 951930 = 0. What is z? -317310, -1/2 Determine x so that 5*x**2 - 58275*x + 640420 = 0. 11, 11644 Factor -i**5 - 351*i**4 + 33166*i**3 - 987532*i**2 + 11052600*i - 30441632. -(i - 26)**3*(i - 4)*(i + 433) What is o in -4*o**2 - 12152*o - 9229444 = 0? -1519 Factor -11*s**2 + 2664*s - 2653. -(s - 1)*(11*s - 2653) Factor -3125*a**3 + 244250*a**2 - 39020*a + 1560. -5*(a - 78)*(25*a - 2)**2 Factor -66*z**5 - 134*z**4 - 4*z**3. -2*z**3*(z + 2)*(33*z + 1) Suppose -2*z**2/7 - 732*z/7 - 58266/7 = 0. What is z? -249, -117 Let a**5/2 + 1157*a**4/2 + 1153*a**3/2 - 3469*a**2/2 - 577*a + 1156 = 0. Calculate a. -1156, -2, -1, 1 Factor -5*m**4 - 60910*m**3 - 247375800*m**2 - 335111588000*m - 669234160000. -5*(m + 2)*(m + 4060)**3 Factor 2*u**3 + 1428*u**2 - 2*u - 1428. 2*(u - 1)*(u + 1)*(u + 714) Factor -5*o**3 - 4700*o**2 + 33115*o - 28410. -5*(o - 6)*(o - 1)*(o + 947) Solve -3*k**5/10 + k**4/5 + 67*k**3/2 + 53*k**2/5 - 44*k = 0 for k. -10, -4/3, 0, 1, 11 Find v such that 2*v**2/13 - 13408*v/13 + 13406/13 = 0. 1, 6703 Let -3*u**5/4 + 105*u**4/4 + 51*u**3/4 - 1677*u**2/4 - 930*u - 525 = 0. Calculate u. -2, -1, 5, 35 Factor -k**3/5 + 1842*k**2/5 + 59968*k/5. -k*(k - 1874)*(k + 32)/5 Determine o so that o**3 - 190*o**2 - 11023*o + 2553712 = 0. -112, 151 Let -z**3/7 + 2161*z**2/7 = 0. What is z? 0, 2161 Determine j so that j**2/4 + 1497*j/2 + 14945/4 = 0. -2989, -5 Factor c**3/4 + 2167*c**2/2 + 2166*c. c*(c + 2)*(c + 4332)/4 Factor 4*f**2 + 53592*f + 179506404. 4*(f + 6699)**2 Find p such that -4*p**2/3 + 32956*p/3 + 32960/3 = 0. -1, 8240 Find n such that -n**3 + 867*n**2 + 9670*n - 10536 = 0. -12, 1, 878 Suppose 4*d**5 - 64*d**4 + 276*d**3 - 376*d**2 + 160*d = 0. What is d? 0, 1, 4, 10 Find a such that 2*a**3 - 2342*a**2 + 637670*a + 28549950 = 0. -39, 605 Determine b so that -2*b**4 - 14*b**3 + 54*b**2 + 486*b + 756 = 0. -7, -3, 6 Factor 2*c**2/5 + 66*c/5 - 5992. 2*(c - 107)*(c + 140)/5 Determine n, given that 1527*n**4 + 164922*n**3 + 4453380*n**2 + 17496*n = 0. -54, -2/509, 0 Factor -194*k**3 + 4072*k**2 - 7330*k - 76. -2*(k - 19)*(k - 2)*(97*k + 1) Factor -2*b**3 - 5126*b**2 + 160712*b - 300904. -2*(b - 29)*(b - 2)*(b + 2594) Determine z, given that -4*z**4/3 + 64*z**3/3 - 12*z**2 - 120*z = 0. -2, 0, 3, 15 What is t in -t**3 + 6838*t**2 + 82164*t + 246600 = 0? -6, 6850 Solve 4*q**5 - 1448*q**4 + 173184*q**3 - 6830208*q**2 = 0 for q. 0, 98, 132 Determine r, given that r**5 - 25*r**4 - 7*r**3 + 169*r**2 + 150*r = 0. -2, -1, 0, 3, 25 Factor 5*g**3 + 9360*g**2 + 18700*g. 5*g*(g + 2)*(g + 1870) Factor 2*t**2 + 117458*t - 234924. 2*(t - 2)*(t + 58731) Factor 2*o**2 + 17774*o - 17776. 2*(o - 1)*(o + 8888) What is r in 2*r**3/9 - 1060*r**2/9 - 10750*r/9 - 3000 = 0? -5, 540 Determine p, given that 3*p**4/2 + 5949*p**3/2 + 153273*p**2/2 + 1228491*p/2 + 1420782 = 0. -1957, -11, -4 Let -2*j**3 - 676*j**2 + 678*j = 0. What is j? -339, 0, 1 Determine j, given that -j**2/9 + 159293*j/9 + 159296/3 = 0. -3, 159296 Find c such that 2*c**4/5 + 34*c**3/5 - 16*c**2/5 - 696*c/5 + 1152/5 = 0. -16, -6, 2, 3 Factor -2*d**3/5 - 2316*d**2/5 + 18624*d/5 - 37312/5. -2*(d - 4)**2*(d + 1166)/5 Let -4*c**2 + 2072*c + 4160 = 0. Calculate c. -2, 520 Factor -y**4/3 + 133*y**3 - 1564*y**2 + 18640*y/3 - 8256. -(y - 387)*(y - 4)**3/3 Determine f so that f**2/6 + 6248*f/3 = 0. -12496, 0 Solve -505*y**2 - 3495*y + 280 = 0. -7, 8/101 Determine h, given that 4*h**4 - 1717*h**3 + 182165*h**2 + 138022*h - 45864 = 0. -1, 1/4, 196, 234 What is t in 18*t**4/11 - 2752*t**3/11 - 45696*t**2/11 = 0? -136/9, 0, 168 Factor -3*r**3 - 843*r**2 + 12351*r - 11505. -3*(r - 13)*(r - 1)*(r + 295) Determine l so that -3*l**5 - 102*l**4 - 171*l**3 + 660*l**2 - 384*l = 0. -32, -4, 0, 1 Determine g, given that 35*g**3/4 - 4225*g**2/4 - 1370*g - 305 = 0. -1, -2/7, 122 Factor x**3/2 - 21959*x**2/2 + 120648175*x/2 - 1084055625/2. (x - 10975)**2*(x - 9)/2 Determine q, given that 3*q**5 - 8757*q**4 - 17559*q**3 + 96357*q**2 + 105156*q = 0. -4, -1, 0, 3, 2921 Solve 5*k**3 - 1550*k**2 + 27945*k - 87300 = 0 for k. 4, 15, 291 Factor 52*i**2 - 103188*i - 166824. 4*(i - 1986)*(13*i + 21) Factor 2*n**2 - 17520*n - 70112. 2*(n - 8764)*(n + 4) Let 3*r**2/5 + 1115508*r/5 + 103696508172/5 = 0. Calculate r. -185918 Factor 3*r**2 - 327*r - 13536. 3*(r - 141)*(r + 32) Suppose -4*l**3 + 196*l**2 + 4228*l - 4420 = 0. What is l? -17, 1, 65 Factor o**4 - 79634*o**3 + 79628*o**2 + 398162*o + 238899. (o - 79633)*(o - 3)*(o + 1)**2 Factor 9228100332*m**2 - 332772*m + 3. 3*(55462*m - 1)**2 Factor 2*h**2/7 - 704*h + 19680/7. 2*(h - 2460)*(h - 4)/7 Suppose -72*x**4 - 97*x**3/2 + 378*x**2 + 787*x/2 + 39 = 0. What is x? -2, -1, -1/9, 39/16 Find f, given that -25*f**4/2 + 1163*f**3 - 54893*f**2/2 +
{ "pile_set_name": "DM Mathematics" }
679 = -24*i - 785. Let k be -50*1*6/(-4). Let m = i + k. Let g(r) = -20*r**3 - 6*r**2 + 14. Calculate m*l(v) - 5*g(v). 2*v**3 + 2*v**2 Let y(t) = 13*t + 7. Let u(g) = -22*g - 11. What is -3*u(q) - 5*y(q)? q - 2 Suppose -4*v - 6*v - 108 = 2*v. Let j(a) be the second derivative of -3*a**4/4 + 3*a**3/2 + 4*a. Let b(k) = -4*k**2 + 5*k. Determine v*b(m) + 5*j(m). -9*m**2 Let m(a) = 16*a**3 + 12*a**2 + 52*a + 1. Let v(d) = 35*d**3 + 26*d**2 + 106*d + 3. What is 13*m(t) - 6*v(t)? -2*t**3 + 40*t - 5 Let r(m) = -38*m**2 - 2*m - 38*m**2 + 84*m**2 - 6*m. Let v(s) = -3*s**2 - 40*s - 18. Let h be v(-13). Let u(n) = -7*n**2 + 7*n. Determine h*u(w) - 4*r(w). 3*w**2 - 3*w Suppose 142*v - 138 = -123*v + 288*v. Let k(m) = -38*m. Let g(j) = -341*j. What is v*g(c) + 55*k(c)? -44*c Let g(i) = i**3 - i**2 - i. Suppose -13 = -239*z + 229*z + 7. Let l(q) = 2*q**2 + 23*q + 2. Give z*g(n) + l(n). 2*n**3 + 21*n + 2 Let j(d) = -d - 1. Let v(n) = -12*n - 10. Let i(m) = -2*m - 2*m**2 + 0*m - 63*m**3 + m + 21*m**3. Let p be i(-1). Let c = -39 + p. Calculate c*v(o) - 22*j(o). -2*o + 2 Let y(z) = 6*z + 2 - 4*z + 5*z - 6*z. Let l = 375 - 381. Let a(j) = -7*j - 13. Give l*a(o) - 39*y(o). 3*o Let g(f) = -f**3 + 5*f**2 - 7*f + 141. Let h be g(7). Let p(t) = -1. Let r(z) = -4*z + 7. What is h*p(i) - r(i)? 4*i - 1 Let a be (-1)/(3*2/12). Let n(h) = -h**2 - 9*h - 5. Let l(q) be the second derivative of q**3/3 + q**2/2 + 4*q + 286. Calculate a*n(o) - 9*l(o). 2*o**2 + 1 Let r(w) = 4253*w + 4240*w + 20 - 4 + 12 - 8495*w. Let o(g) = g + 1. What is 3*o(u) + r(u)? u + 31 Suppose 14 = 2*q + 4*z, 4*z - 15 = -4*q + 1. Let d(g) = 11*g - 3 + 6*g**2 - 11*g. Let l(n) = 1. Calculate q*d(p) + 3*l(p). 6*p**2 Suppose -195*a + 1944 = 129*a. Let t(z) = -13*z**3 - 8*z**2 - 6*z - 4. Let d(l) = -12*l**3 - 7*l**2 - 5*l - 3. Determine a*d(x) - 5*t(x). -7*x**3 - 2*x**2 + 2 Let a(m) be the second derivative of -m**5/10 - 5*m**4/12 - 13*m**3/6 + 7*m**2/2 - 201*m. Let d(c) = c**3 + 3*c**2 + 7*c - 4. Calculate -4*a(i) - 7*d(i). i**3 - i**2 + 3*i Let p(v) = -v**2 - 3*v + 4. Let s(n) = n + 3. Let f be s(-6). Let i = -468 - -323. Let d = i - -137. Let o(g) = 3*g**2 + 8*g - 12. Calculate d*p(y) + f*o(y). -y**2 + 4 Let u(h) = -4*h**2 - 2*h + 123. Let n(v) = 11*v**2 + 5*v - 354. What is 6*n(p) + 17*u(p)? -2*p**2 - 4*p - 33 Let y be (-22)/(-99) + 470/(-90). Let t(s) = -s - 1. Let b(r) = -3*r**2 - 5*r - 5. Suppose 2*q = 3 - 1. Give q*b(u) + y*t(u). -3*u**2 Let n(f) = -5 + f - 4*f + 8*f - 4*f. Let z(m) = -626*m + 1200*m - 3 - 573*m. Let u = -10 + 0. Give u*z(p) + 6*n(p). -4*p Let l(y) = 43*y**3 + 4*y**2 + 2*y - 40. Let r(u) = 2*u**2 + u + 1. Calculate -l(z) + 2*r(z). -43*z**3 + 42 Suppose -5*h - q - 86 = 0, -h + 30 - 46 = -q. Let r(n) = -2*n - 7. Let m(o) = -3*o - 2*o + 0*o - 20. Give h*r(u) + 6*m(u). 4*u - 1 Let p(x) = -2*x + 4. Suppose 5*n + 35 = l, 19 = -5*n + 2*l - 21. Let v be (n/4)/(2/(-4)). Let b = -14326 + 14328. Let u(s) = 2*s - 3. Calculate b*p(r) + v*u(r). 2*r - 1 Let u(w) = -1004*w**2 - 8*w - 20. Let i(a) = -999*a**2 - 7*a - 16. Give 5*i(q) - 4*u(q). -979*q**2 - 3*q Let r(b) = -2*b**2 - 2*b + 9. Let m(v) = -v**2 - 2*v + 8. Let p be 1035/(-186) - 44/(-682) - (-2)/4. What is p*m(k) + 4*r(k)? -3*k**2 + 2*k - 4 Let x(p) = 3 - 3*p + 0*p - 12*p + 2. Let b(h) = 8*h - 3. Calculate 5*b(c) + 3*x(c). -5*c Let p(b) = -21*b**2 - b - 7. Let f(a) = 32*a**2 + a + 10. Let s be (-2 + (-308)/(-99))*((-66)/(-12) - 1). Calculate s*f(d) + 7*p(d). 13*d**2 - 2*d + 1 Let t(s) = -2*s**2 + 4. Let o(a) = -1. Let w be -10*6/15*-1. Let v(k) = -34*k**2 + 6*k + 4. Let n be v(-1). Let f be 189/n + 1/w. What is f*o(l) - t(l)? 2*l**2 + 1 Let f(y) = y**2 - 1. Let o(m) = -111*m**2 + 20*m - 4. Let w(a) = 314*a**2 - 57*a + 11. Let t(z) = -17*o(z) - 6*w(z). Give 2*f(g) + t(g). 5*g**2 + 2*g Suppose -4*y - 19 = -5*o, -3*y + 184*o = 189*o - 12. Let j(t) = 5*t**3 - 4*t - 5. Let k(q) = -q**3 - q**2 + q + 1. What is y*j(m) - 4*k(m)? -m**3 + 4*m**2 + 1 Let b(l) = -17*l - 294. Let u(x) = -3*x - 10. What is b(d) - 6*u(d)? d - 234 Suppose -g = -9*g + 352. Let u(o) = 2*o**3 + 3*o + 3. Let d(i) = -22 - 22*i + 1472*i**2 - 14*i**3 - 1472*i**2. Calculate g*u(k) + 6*d(k). 4*k**3 Let t(j) = 3*j**3 + 3*j**2 + 26*j + 9. Let v(z) = 3*z**3 + 4*z**2 + 28*z + 10. What is -4*t(h) + 3*v(h)? -3*h**3 - 20*h - 6 Let t(f) = 3*f**3 + 904*f**2 + 22*f - 26. Let w(o) = -2*o**3 - 542*o**2 - 13*o + 16. Give -8*t(x) - 13*w(x). 2*x**3 - 186*x**2 - 7*x Let d(p) = -29*p**2 + 2*p. Let u(a) = -4146*a**2 + 290*a + 65. Let v(b) = 72558*b**2 - 5075*b - 1131. Let r(q) = -87*u(q) - 5*v(q). Determine 145*d(l) - 2*r(l). -29*l**2 Let n(q) = -104*q**3 + 10*q**2 - 7*q + 5. Let z(v) = 34*v**3 - 3*v**2 + 2*v - 1. Determine 2*n(f) + 7*z(f). 30*f**3 - f**2 + 3 Suppose 0 = 95*j - 96*j + 161. Suppose 0 = -5*l - 4*r + j, 4*r + 147 = 4*l + 47. Let y(i) = 9*i + 21*i - l*i. Let p(t) = 5*t - 2. Give -p(c) + 3*y(c). -2*c + 2 Let o(n) = 5*n - 14. Let j(f) = f + 3. Let m(w) be the third derivative of -w**4/12 - 17*w**3/6 + 152*w**2. Let l(s) = -4*j(s) - m(s). Give 8*l(b) + 3*o(b). -b - 2 Let z(y) = -2*y + 142 + y - 146. Let t be (-376)/(-40) - ((-13)/5 - -3). Let b(n) = 5*n + 17. Give t*z(d) + 2*b(d). d - 2 Let i(f) be the second derivative of 1/20*f**5 + 1/2*f**4 - 69*f + 0 + f**3 - 3*f**2. Let b(l) = -l**3 - 13*l**2 - 13*l + 13. Calculate 6*b(g) + 13*i(g). 7*g**3 Suppose -2*r - 4 = -4*r. Let j(c) = c - 10*c + 1 + r. Let u(k) be the second derivative of k**3/6 - k**2/2 + 114759*k. Determine -j(f) - 3*u(f). 6*f Let k(j) = 66*j**3 - 44*j + 44. Let d(a) = a**3 - a + 1. Let y = 4730 + -4731. Determine y*k(w) + 44*d(w). -22*w**3 Let i(j) = 3*j**2 - 5*j + 2. Let c(u) be the second derivative of 0 - 2/3*u**3 + 1/2*u**2 + 62*u + 1/6*u**4. Give 5*c(b) - 4*i(b). -2*b**2 - 3 Let y(g) be the first derivative of -3*g**2/2 + 14*g + 87. Let z be y(5). Let q(v) = -v**3 - v + 1. Let b(i) = i**3 + 3*i - 1. Determine z*b(d) - 3*q(d). 2*d**3 - 2 Let d = 7285 - 7278. Let g(y) = -15*y**3 + 2. Let t(w) = -8*w**3 + 1. Calculate d*t(r) - 4*g(r). 4*r**3 - 1 Let a(k) = 2*k**3 + 144*k**2 + 21. Let w(f) = -2*f**3 - 143*f**2 - 24. Give -3*a(j) - 2*w(j). -2*j**3 - 146*j**2 - 15 Let x(p) = 4*p**3 - 3*p**2. Let i(o) = 6*o**3 - 4*o**2 - o. Determine 3*i(q) - 4*x(q). 2*q**3 - 3*q Let r(d) = 462*d**2 - d - 2. Let b(v) = v**2. Give -4*b(m) + r(m). 458*m**2 - m - 2 Let y(a) = -3*a**2 - 51*a + 1. Let j(k) = -12*k**2 - 200*k + 4. Let x(p) = -6*j(p) + 22*y(p). Let d(q) = 2*q**2 + 26*q - 1. What is 8*d(z) - 3*x(z)? -2*z**2 - 26*z - 2 Let x(b) = 2*b + 6. Let d(f) = -9*f**2 - 26*f + 210. Calculate -d(m) - 13*x(m). 9*m**2 - 288 Suppose 0 = -4*u - v - 28, -2 = -4738*u + 4741*u - 4*v. Let k(b) = 13*b - 7. Let y(w) = -38*w + 20. What is u*y(o) - 17*k(o)? 7*o - 1 Let p(a) = 41*a**3 - 3*a**2 + 2*a + 2. Let g be p(1). Suppose -g = 9*x - 60. Let v(k) = -k**2 + k + 1. Let c(i) = 8*i**2 - 8*i - 8. Give x*c(y) + 14*v(y). 2*y**2 - 2*y - 2 Let z(r) = 57*r**2 + 6*r - 365. Let p(d) = 19*d**2 + 2*d - 127. Give -17*p(f) + 6*z(f). 19*f**2 + 2*f - 31 Let l(d) = 2321*d**3 - 3*d. Let f(m) = -1791810*m**3 + 2315*m. Calculate -3*f(y) - 2315*l(y). 2315*y**3 Let i(p) = -70*p**2 - 20*p + 7. Let d(c) = -19*c**2 - 5*c + 2. Calculate 22*d(h) - 6*i(h). 2*h**2 + 10*h + 2 Let c(l) = -145*l + 3. Let r(g) = -857*g + 19. Give 13*c(q) - 2*r(q). -171*q + 1 Let l be (25 - 64/4) + (-21)/3. Let h(a) = -a + 1. Let u(m) = 10*m - 9. Calculate l*u(r) + 22*h(r). -2*r + 4 Let h(j) = 2524*j - 258. Let o(q) = -2*q + 26. What is -h(m) - 10*o(m)? -2504*m - 2 Let w(y) = -4*y + 1. Let r be (-2 + 3/1 + -2)*-3. Suppose 2*z = r*x + z - 6, -5*z + 18 = x. Suppose 2*u + x*u = 5. Let a(t) = t. Give u*w(c) + 5*a(c). c + 1 Let s(m) = 4*m - 11. Let v(u) = 5599 - 9*u - 1867 - 1855 - 1854. Give 7*s(c) + 3*v(c). c - 8 Let x(p) = -10*p**3 - 6*p - 3. Let r(i) be the first derivative of -1/2*i**2 + 0*i - 80 - 1/4*i**4 + 0*i**3. Determine 6*r(t) - x(t). 4*t**3 + 3 Let h(d) = -6*d**2 + 4*d + 5. Let g(t) = -t - 1. Let o = -3085 + 3090. Calculate o*g(y) + h(y). -6*y**2 - y Let r(c) = -13*c**2 - 2*c - 6. Suppose t + 87 = -f + 84, -f - 4*t = 21. Let l(z) = -25*z**2 - 4*z - 11. What is f*l(j) - 5*r(j)? -10*j**2 - 2*j - 3 Let n(t) = 55*t**2 + 101*t - 66. Let k(i) = -18*i**2 - 34*i + 24. Calculate -11*k(f) - 4*n(f). -22*f**
{ "pile_set_name": "DM Mathematics" }
the least common multiple of 1815 and 1155? 12705 What is the least common multiple of 2436 and 126? 7308 What is the least common multiple of 25 and 2695? 13475 Calculate the lowest common multiple of 4 and 184. 184 Find the common denominator of -59/114 and -37/2. 114 Calculate the smallest common multiple of 990 and 8. 3960 What is the common denominator of -89/666 and -62/111? 666 What is the common denominator of -70/9 and 91/32? 288 Calculate the common denominator of 121/588 and 45/32. 4704 What is the common denominator of -151/6 and 7/10348? 31044 Calculate the common denominator of -109/72 and 49/24. 72 What is the least common multiple of 30 and 590? 1770 Calculate the lowest common multiple of 341 and 649. 20119 Calculate the smallest common multiple of 20 and 44. 220 What is the common denominator of -16/33 and -67/369? 4059 What is the common denominator of -32/1507 and -13/1233? 13563 Calculate the lowest common multiple of 10108 and 4332. 30324 What is the common denominator of -107/20 and 1/72? 360 Calculate the least common multiple of 135 and 10638. 53190 Calculate the least common multiple of 2487 and 75. 62175 What is the smallest common multiple of 480 and 60? 480 What is the smallest common multiple of 5380 and 269? 5380 Calculate the common denominator of 19/15610 and 30/10927. 109270 What is the lowest common multiple of 640 and 200? 3200 Find the common denominator of 31/54 and 4/207. 1242 Calculate the common denominator of -49/36 and 125/72. 72 What is the common denominator of 65/12 and -157/5934? 11868 Calculate the least common multiple of 371 and 21. 1113 What is the least common multiple of 384 and 84? 2688 What is the smallest common multiple of 147 and 24? 1176 What is the smallest common multiple of 90 and 45? 90 What is the least common multiple of 648 and 648? 648 Calculate the smallest common multiple of 33 and 19. 627 What is the common denominator of -139/36 and -79/516? 1548 What is the lowest common multiple of 25 and 640? 3200 Calculate the common denominator of 121/40 and 63/32. 160 Find the common denominator of -29/165 and 181/60. 660 What is the smallest common multiple of 1100 and 8? 2200 Calculate the smallest common multiple of 2 and 90. 90 What is the smallest common multiple of 22 and 202? 2222 Calculate the common denominator of -69/10 and -59/744. 3720 What is the common denominator of 101/286 and -42/11? 286 What is the common denominator of -127/438 and 53/657? 1314 Calculate the common denominator of 41/114 and -61/60. 1140 What is the least common multiple of 40 and 28? 280 Calculate the common denominator of -93/74 and 103/24. 888 Calculate the lowest common multiple of 10 and 1412. 7060 Calculate the least common multiple of 8 and 13924. 27848 Find the common denominator of -97/362 and 57/16. 2896 Calculate the lowest common multiple of 6 and 369. 738 What is the common denominator of -49/296 and 79/16? 592 Calculate the common denominator of -71/80 and -43/40. 80 Calculate the common denominator of -49/10 and 89/16. 80 What is the lowest common multiple of 1898 and 5? 9490 What is the lowest common multiple of 232 and 261? 2088 Find the common denominator of -5/84 and 16/33. 924 What is the common denominator of -30/7 and -1/9? 63 Find the common denominator of -17/209 and 17/114. 1254 Calculate the smallest common multiple of 179 and 7160. 7160 Find the common denominator of 77/45 and -103/270. 270 What is the smallest common multiple of 192 and 54? 1728 Calculate the smallest common multiple of 36 and 1440. 1440 What is the least common multiple of 1887 and 10? 18870 What is the smallest common multiple of 2 and 1? 2 Calculate the least common multiple of 75 and 125. 375 What is the common denominator of -3/20 and 69/80? 80 What is the least common multiple of 10 and 8035? 16070 What is the common denominator of 113/4116 and -87/2744? 8232 What is the least common multiple of 20 and 48? 240 What is the common denominator of 25/56 and 59/56? 56 Calculate the common denominator of 41/2325 and -61/93. 2325 Calculate the common denominator of 151/174 and -53/464. 1392 What is the smallest common multiple of 1596 and 49? 11172 What is the common denominator of -47/16 and -121/1206? 9648 Find the common denominator of -77/370 and 125/666. 3330 Calculate the common denominator of -157/84 and 49/12. 84 What is the smallest common multiple of 20 and 2762? 27620 Calculate the lowest common multiple of 30 and 20. 60 What is the smallest common multiple of 404 and 4? 404 What is the lowest common multiple of 40 and 275? 2200 Find the common denominator of 35/52 and 59/54. 1404 Calculate the common denominator of -19/350 and -17/140. 700 What is the lowest common multiple of 3 and 1? 3 What is the smallest common multiple of 28 and 168? 168 Calculate the lowest common multiple of 105 and 165. 1155 What is the least common multiple of 128 and 56? 896 What is the common denominator of 4/369 and -89/1230? 3690 What is the common denominator of -151/156 and -37/520? 1560 Calculate the common denominator of -139/390 and -89/12. 780 Calculate the common denominator of 137/12 and -83/2. 12 What is the lowest common multiple of 168 and 1920? 13440 Calculate the least common multiple of 14 and 1190. 1190 What is the smallest common multiple of 1309 and 35? 6545 Calculate the common denominator of 11/18 and 21/152. 1368 Calculate the common denominator of 49/48 and -5/84. 336 Calculate the lowest common multiple of 10 and 106. 530 What is the smallest common multiple of 21 and 24? 168 Calculate the smallest common multiple of 9 and 789. 2367 What is the lowest common multiple of 2628 and 10? 13140 What is the least common multiple of 40 and 75? 600 What is the common denominator of 10/13 and -83/705? 9165 What is the lowest common multiple of 598 and 39? 1794 Find the common denominator of 41/45 and -77/20. 180 What is the common denominator of -121/230 and -121/280? 6440 What is the smallest common multiple of 1840 and 690? 5520 What is the smallest common multiple of 12 and 2? 12 What is the least common multiple of 6 and 2? 6 Calculate the common denominator of 79/36 and -85/92. 828 Find the common denominator of 1/5740 and -37/35. 5740 What is the common denominator of -123/920 and -45/16? 1840 Calculate the lowest common multiple of 121 and 5. 605 Calculate the smallest common multiple of 1 and 272. 272 Find the common denominator of 5/22 and 89/828. 9108 What is the least common multiple of 17 and 34? 34 What is the least common multiple of 160 and 64? 320 Calculate the common denominator of -21/544 and 117/680. 2720 What is the lowest common multiple of 160 and 80? 160 What is the smallest common multiple of 140 and 70? 140 Calculate the smallest common multiple of 72 and 36. 72 Calculate the common denominator of -61/648 and -59/36. 648 Calculate the common denominator of 131/560 and -53/70. 560 What is the common denominator of -40/3 and 35/418? 1254 What is the least common multiple of 2223 and 936? 17784 Calculate the common denominator of 52/3 and 89/2. 6 Find the common denominator of -23/3 and 71/10184. 30552 Calculate the common denominator of 131/42 and -59/378. 378 Calculate the common denominator of -34/35 and -79/75. 525 What is the common denominator of 21/22 and -125/138? 1518 What is the lowest common multiple of 27 and 18? 54 What is the common denominator of 43/738 and -19/16? 5904 What is the common denominator of 7/50 and 53/20? 100 What is the common denominator of 41/668 and 61/36? 6012 What is the least common multiple of 1090 and 1417? 14170 What is the lowest common multiple of 90 and 210? 630 What is the lowest common multiple of 24 and 17616? 17616 What is the common denominator of -59/30 and -131/110? 330 What is the common denominator of -97/22 and -19/20? 220 What is the common denominator of 13/176 and 35/176? 176 What is the least common multiple of 975 and 145? 28275 Calculate the lowest common multiple of 44 and 48. 528 Calculate the common denominator of -1/20 and 29/156. 780 Calculate the least common multiple of 1035 and 230. 2070 Calculate the common denominator of -49/2662 and -103/726. 7986 What is the common denominator of -82/21 and 157/1380? 9660 Ca
{ "pile_set_name": "DM Mathematics" }
) = 2*k**2 + 4*k + 1. Determine m*s(i) + 4*y(i). -2*i**2 - 1 Let p(n) = 12*n + 9. Suppose -8*d - 4 = -4*d. Let g = d + 3. Let v(s) = -3*s - 2. Give g*p(j) + 9*v(j). -3*j Let z(u) = 8*u**2 + 2*u - 6*u - 2*u**3 + 3 - 10*u**2. Let i(k) = -k - k - k + 2*k + 1. Calculate 4*i(s) - z(s). 2*s**3 + 2*s**2 + 1 Let s(n) = 9*n**3 + 11*n**2 - 20. Let r(q) = 4*q**3 + 5*q**2 - 10. What is -7*r(c) + 3*s(c)? -c**3 - 2*c**2 + 10 Let p(s) = 3*s**2 - s - 5. Let i(w) be the third derivative of -w**5/60 + w**3/6 - 25*w**2. Calculate -5*i(f) - p(f). 2*f**2 + f Let b(m) = 2 - m**2 - 6*m**2 + 2*m - 7*m**3 + m**2. Let r(i) = i**3 + i**2. Determine b(y) + 6*r(y). -y**3 + 2*y + 2 Let z(c) = 26*c**2 - 3*c + 2. Let g(v) = 77*v**2 - 10*v + 6. Determine -2*g(q) + 7*z(q). 28*q**2 - q + 2 Let c(w) = 6 + 6*w - 4 + 0 - 3. Let o(k) = -7*k + 1. Suppose 2*s = 3*s + 4. What is s*o(b) - 5*c(b)? -2*b + 1 Let s(b) = 1 + 98*b + 95*b - 191*b. Let i(h) = -h - 2. Give 3*i(a) + 4*s(a). 5*a - 2 Let z(m) = 2*m**2 + 5*m + 5. Let a(s) be the first derivative of 2/3*s**3 + 4*s + 2*s**2 - 4. What is -5*a(p) + 4*z(p)? -2*p**2 Suppose 0 = s - 2*j + 14, -4*s + 3*s + 5*j = 26. Let t(z) = -z**2 - 7*z**2 + 1 + 4. Let v(u) = 3 - u**2 + 0 - 2. What is s*v(p) + t(p)? -2*p**2 - 1 Let p(m) = -2*m**3 + 5*m**2 - 3*m + 2. Let w(b) = -3*b**3 + 9*b**2 - 5*b + 4. Suppose -4*n - 18 = -2*l, 0 = n - 5*l + 18. Calculate n*w(j) + 5*p(j). -j**3 - 2*j**2 - 2 Let z(w) = -11*w - 8. Let y(p) be the second derivative of 2*p**3/3 + 3*p**2/2 - 8*p. What is -8*y(b) - 3*z(b)? b Let a(t) = 6*t - 2. Let q(l) = 5*l - 2. Determine -2*a(v) + 3*q(v). 3*v - 2 Let l be 230/50 + 3/(-5). Let v(u) = -13*u - 6 - l*u**2 + 5 - 6. Suppose -2*z - z = 6. Let a(n) = n**2 + 4*n + 2. Give z*v(k) - 7*a(k). k**2 - 2*k Let k(x) = 391*x**3 + 46*x**2 - 46*x + 46. Let c(u) = -26*u**3 - 3*u**2 + 3*u - 3. Determine 46*c(j) + 3*k(j). -23*j**3 Let p(r) = -57*r**3 + 171*r**2 + 171*r + 171. Let q(b) = b**2 + b + 1. Calculate p(c) - 171*q(c). -57*c**3 Let g(m) = 7*m**3 - m**2 - 2. Let v(p) = -p**3 + p**2. Determine g(s) + 2*v(s). 5*s**3 + s**2 - 2 Let o(f) = 39*f**2 - 27*f + 27. Let q(k) = 1. Let z(p) = -3*p**2 + 2*p - 8. Let u(y) = -6*q(y) - z(y). Determine -2*o(i) + 27*u(i). 3*i**2 Let k(f) = 6*f - 9. Let l(j) = -3*j + 4. Determine 4*k(a) + 9*l(a). -3*a Let o(p) = p**3 - 2*p**2 - 2. Let f(l) = -2*l**3 + 3*l**2 + 3. Let b = 19 + -22. Calculate b*o(d) - 2*f(d). d**3 Let k(h) = -h**2 + 5*h - 3. Let o be -1*3/(-6)*0. Suppose -2*g + o*g = -28. Suppose 4*d + g = -6. Let c(n) = -2*n**2 + 8*n - 5. Give d*c(j) + 8*k(j). 2*j**2 + 1 Let l(s) = -53*s - 2. Let w(z) = 79*z + 3. Give -7*l(f) - 5*w(f). -24*f - 1 Let b(f) = -f**2. Let n(h) = 3*h**2 - 17*h + 2. Determine -2*b(i) - n(i). -i**2 + 17*i - 2 Let x(i) = -2*i**2 - 6*i - 4. Let l(z) = -z**2 + 2*z + 2 - 3*z - 3. Let j(m) = -m - 2. Let g be j(-1). Calculate g*x(d) + 4*l(d). -2*d**2 + 2*d Let m = 71 - 62. Let r(f) = -3*f**3 + 2*f**2 + 2*f. Let x(a) = -11*a**3 + 9*a**2 + 9*a. What is m*r(w) - 2*x(w)? -5*w**3 Let r(z) be the second derivative of -2*z**4/3 + 4*z**3/3 + 13*z**2/2 + z. Let j(p) = -2*p**2 + 2*p + 3. Give -9*j(k) + 2*r(k). 2*k**2 - 2*k - 1 Let b(h) = -2*h**3 + h**2 - 2*h + 1. Let x(a) = a**3 + a + 1. Give -b(y) - 3*x(y). -y**3 - y**2 - y - 4 Let i(b) = b. Let h(z) be the first derivative of -3*z**2/2 + 1. Suppose 0 = 12*k - 56 - 16. Calculate k*h(y) + 17*i(y). -y Let b(d) = -2*d**2 - 4*d + 3. Let k be (2/(-4))/((-2)/12). Let n(y) = 4*y**2 + 4*y - 4. Let r(q) = q**2 + q - 1. Let c(x) = n(x) - 3*r(x). Give k*c(s) + b(s). s**2 - s Let m(c) be the first derivative of -c**4/4 + c**3 - c**2/2 - 3*c + 7. Let s(j) = j**3 - 5*j**2 + 2*j + 5. Calculate 5*m(w) + 3*s(w). -2*w**3 + w Let i(u) = -4*u**2 - 3*u + 4. Let n be i(1). Let t(a) = -1 + 0*a - 2*a + 0. Let d(f) = f + 1. What is n*t(r) - 4*d(r)? 2*r - 1 Let z(k) = -25*k + 30. Let h(q) = -q + 1. Suppose 2 = 2*j - 0. Give j*z(o) - 30*h(o). 5*o Let z(c) be the first derivative of -2*c**3 - 1/4*c**4 + 0*c - 3*c**2 - 9. Let n(w) = 2*w**3 + 13*w**2 + 13*w. Calculate -6*n(o) - 13*z(o). o**3 Let j(s) = -9*s**2 - 6*s - 6. Let a be (-10)/85 - (-166)/(-34). Let w(q) = 8*q**2 + 5*q + 5. Give a*j(k) - 6*w(k). -3*k**2 Let d(j) = 2*j**3 + 3*j**2 + 2*j + 3. Let b(n) = -n**2 + n**3 - 2*n**2 - 1 - n - 2*n**3 + 2*n**2. Calculate -3*b(p) - d(p). p**3 + p Let h(o) = 3*o**3 + 15*o**2 - 15*o. Let d(f) = -f**3 - 4*f**2 + 4*f. Give 15*d(g) + 4*h(g). -3*g**3 Suppose -9 = -4*l + 11. Let v(h) = -17*h + 10*h + 5*h + l. Let m(b) = b - 1. Give 5*m(t) + v(t). 3*t Let v(z) = -16*z**2 - 7*z - 7. Let t(i) = -5*i**2 - 2*i - 2. Determine -14*t(y) + 4*v(y). 6*y**2 Let v(q) = q - 1. Let l(z) be the third derivative of z**6/60 + 11*z**4/24 - 11*z**3/6 + 22*z**2. Calculate -2*l(i) + 22*v(i). -4*i**3 Let k(f) = -3*f**3 + 4*f**2 + 4*f - 4. Let z(m) = 0*m**3 - 5*m**2 - 8*m - m**3 + 4*m**3 + 3*m + 5. Calculate 5*k(n) + 4*z(n). -3*n**3 Let g(d) = d**3 + 2. Let x(q) = 3*q**3 + 3. Give 5*g(t) - 2*x(t). -t**3 + 4 Let y(t) = 4*t - 14. Let o(x) = -3*x + 13. What is 5*o(m) + 4*y(m)? m + 9 Let o(l) = -l**2 - l + 1. Let x(q) = -3*q**3 + 12*q**2 + 12*q - 12. Let f = 160 + -148. Give f*o(p) + x(p). -3*p**3 Suppose -6 = b + 2*b. Let h be -3 - ((b - 8) + 2). Suppose -1 = -2*s + p, h*p - 10 = 6*s - s. Let i(w) = w - 2. Let r(u) = 2*u - 3. Calculate s*r(c) - 4*i(c). 2*c - 1 Let f(h) = 3*h**3 + 5*h**2 - 9*h - 5. Let q(c) = c**3 + 2*c**2 - 4*c - 2. Give -2*f(g) + 5*q(g). -g**3 - 2*g Let l(k) = 2*k**2 - 3*k - 3. Let g(q) = 2*q**2 - 4*q - 3. What is -2*g(p) + 3*l(p)? 2*p**2 - p - 3 Let p(q) = 7*q**2 - 3*q + 7. Let a(o) be the first derivative of -o**3 + o**2/2 - 3*o + 11. What is -10*a(z) - 4*p(z)? 2*z**2 + 2*z + 2 Let c(w) be the first derivative of -1 - 4*w + 9/2*w**2. Let y(b) = 4*b - 2. Suppose -h - 3 = -0*h. Give h*c(f) + 7*y(f). f - 2 Let y(f) = -f**3 - f - 1. Let u(o) = 3*o**3 + 2. Let r(k) = -u(k) - 2*y(k). Let l(w) = -2*w**3 + 5*w. Give 2*l(d) - 5*r(d). d**3 Let w(c) = 5*c**2 - 4*c - 16. Let u(d) = -d**2 + d + 3. What is 11*u(a) + 2*w(a)? -a**2 + 3*a + 1 Let h(d) = -12*d. Let a(i) = -13*i. What is 3*a(q) - 2*h(q)? -15*q Let l(r) = r. Suppose 2*p + 2*k + 28 = -2*p, -2*p = 4*k + 26. Let s = p - -6. Let w(h) = h - 1. Calculate s*w(z) - 3*l(z). -2*z - 1 Let n(f) = 676*f**2 - 4 - 671*f**2 - 2 - 6*f. Let s(g) = 11*g**2 - 13*g - 13. Let p be (-9)/(-1)*(-4)/(-6). Determine p*s(v) - 13*n(v). v**2 Let o = -1 + 0. Let b(i) = 16*i + 10. Let x(l) = -l - 1. Let u(a) = o*b(a) - 6*x(a). Let d(r) = -3*r - 1. Let y = 54 + -52. Calculate y*u(v) - 7*d(v). v - 1 Let u(w) = -101*w**2. Let a(f) = -405*f**2. Give -2*a(p) + 9*u(p). -99*p**2 Let h(m) = 0 - 5*m + 4 - 3*m**2 + 0. Let y(a) = 4*a**2 + 6*a - 5. Determine -5*h(d) - 4*y(d). -d**2 + d Let z(i) = -2*i**2 - i - 5. Let n(t) = t**2 + t - 3. Let d(j) = -2*j - j**2 + 3*j**2 - 1 + 4*j - 6. Let o(u) = -6*d(u) + 13*n(u). What is -5*o(g) - 3*z(g)? g**2 - 2*g Let r(p) = p**2 - 3*p + 24. Let t(a) = -2*a**2 + 4*a - 25. Determine 4*r(g) + 3*t(g). -2*g**2 + 21 Suppose -5*j = 2 + 18. Let d(g) = -7*g - 1. Let q(l) = -8*l - 1. What is j*q(s) + 5*d(s)? -3*s - 1 Let j(a) = a**2 - 4*a + 2. Let u(r) = 4*r**2 - 11*r + 5. Calculate 11*j(m) - 4*u(m). -5*m**2 + 2 Let n(q) = -1. Let g(l) = -5*l - 6. Let u(r) = -r**2 + 4*r - 1. Let c be u(5). Let i(y) = c*n(y) + g(y). Let m(a) = 9*a. What is 7*i(t) + 4*m(t)? t Let b(m) = 3*m. Let u(k) = 7*k. Let x(g) = -9*b(g) + 4*u(g). Let j(v) = -9*v - 1. Calculate -j(c) - 6*x(c). 3*c + 1 Let u(w) = -13*w**3 + w**2 + 13. Let f(c) = c**2 + 1. Let l(o) = -42*f(o) + 6*u(o). Let d(j) = 11*j**3 + 5*j**2 - 5. Calculate -36*d(a) - 5*l(a). -6*a**3 Let w(m) = -m**2 + m + 2. Let k(n) = 2*n**2 - 2*n - 4. Suppose -2*d + 5*d = 5*t + 13, -2*t + 4*d = -6. Give t*w(g) - 3*k(g). -g**2 + g + 2 Let z(a) = -2*a**3 + 5*a**2 - 3*a + 2. Let p(c) = 4*c**3 - 11*c**2 + 6*c - 5. Calculate -2*p(x) - 5*z(x). 2*x**3 - 3*x**2 + 3*x Let k(t) = 1. Let j(v) = -v - 15. Give j(g) + 4*k(g). -g - 11 Let f(s) = -3*s + 6. Let l = -9 - -4. Let n(m) = -2*m + 4. Give l*f(g) + 7*n(g). g - 2 Let a(f) = -273*f**3 - 27*f**2 + 27*f - 27. Let k(m) = -39*m**3 - 4*m**2 + 4*m - 4. Calculate -4*a(q) + 27*k(q). 39*q**3 Suppose 0 = 2*h - 2. Let f(o) be the second derivative of -o**3/6 - 2*o. Let c(y) = 6 - 2 - 5 - y. Calculate h*
{ "pile_set_name": "DM Mathematics" }
1 f, and 1 t when three letters picked without replacement from mtuuntttfoouutt. 24/455 Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {l: 1, i: 2, r: 2, d: 5, o: 2, k: 1}. 1/39 What is prob of picking 4 p when four letters picked without replacement from pppemppppppppppp? 11/20 Calculate prob of picking 1 v and 2 u when three letters picked without replacement from uuvv. 1/2 Four letters picked without replacement from {o: 1, d: 5, b: 5, a: 1, s: 4}. What is prob of picking 1 o, 1 d, 1 a, and 1 s? 1/91 Calculate prob of picking 2 c when two letters picked without replacement from {j: 2, c: 8}. 28/45 Three letters picked without replacement from rrrrrrr. What is prob of picking 3 r? 1 Three letters picked without replacement from {k: 5, e: 11, m: 1}. Give prob of picking 1 m and 2 e. 11/136 Calculate prob of picking 1 y and 2 k when three letters picked without replacement from {q: 1, h: 1, k: 4, y: 4}. 1/5 Four letters picked without replacement from {c: 3, m: 1, d: 4}. What is prob of picking 1 d, 1 m, and 2 c? 6/35 Four letters picked without replacement from {d: 2, c: 3, i: 2, z: 3, a: 3}. What is prob of picking 1 z, 2 d, and 1 c? 9/715 Two letters picked without replacement from {p: 1, l: 2, v: 1}. Give prob of picking 1 l and 1 p. 1/3 Three letters picked without replacement from {o: 2, q: 3, d: 5}. What is prob of picking 1 d and 2 q? 1/8 What is prob of picking 1 r and 1 p when two letters picked without replacement from {s: 1, p: 1, z: 2, u: 3, r: 4}? 4/55 Calculate prob of picking 3 q and 1 h when four letters picked without replacement from qqhyqyqyyqqqy. 7/143 Four letters picked without replacement from {q: 7, g: 5}. Give prob of picking 2 g and 2 q. 14/33 What is prob of picking 1 v, 2 e, and 1 r when four letters picked without replacement from {g: 3, e: 2, r: 1, k: 4, v: 1, l: 1}? 1/495 Two letters picked without replacement from {y: 1, b: 2, f: 1, w: 10}. Give prob of picking 1 y and 1 w. 10/91 What is prob of picking 2 r when two letters picked without replacement from {x: 9, r: 7}? 7/40 Three letters picked without replacement from {b: 6, y: 6}. What is prob of picking 3 b? 1/11 What is prob of picking 1 c and 3 y when four letters picked without replacement from yyyycyyc? 4/7 Calculate prob of picking 1 h and 1 v when two letters picked without replacement from vihiiiwiww. 1/45 Calculate prob of picking 2 i when two letters picked without replacement from hgwiihghh. 1/36 Three letters picked without replacement from oojjhaoohjh. What is prob of picking 2 o and 1 h? 6/55 Calculate prob of picking 1 t and 2 b when three letters picked without replacement from bhzdhczttttbtzddhdzh. 1/228 Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {d: 6, f: 3, v: 3, w: 5}. 9/136 Four letters picked without replacement from {h: 7, z: 5}. Give prob of picking 3 z and 1 h. 14/99 Calculate prob of picking 1 x, 1 f, 1 r, and 1 u when four letters picked without replacement from ssrfxxxuursusxsrrx. 1/51 Calculate prob of picking 4 h when four letters picked without replacement from {h: 4}. 1 Calculate prob of picking 4 f when four letters picked without replacement from {r: 3, p: 4, l: 5, f: 4}. 1/1820 Two letters picked without replacement from {m: 3, c: 15}. Give prob of picking 1 c and 1 m. 5/17 What is prob of picking 1 s and 3 f when four letters picked without replacement from sfffffffffffffffffff? 1/5 What is prob of picking 3 d when three letters picked without replacement from {v: 1, h: 2, p: 9, d: 4}? 1/140 Calculate prob of picking 2 a and 1 x when three letters picked without replacement from {c: 3, a: 6, x: 1, t: 5, m: 3}. 5/272 Two letters picked without replacement from {d: 11, x: 3}. Give prob of picking 1 d and 1 x. 33/91 Two letters picked without replacement from smnsnss. Give prob of picking 1 s and 1 m. 4/21 Three letters picked without replacement from {k: 4, m: 5, r: 3, g: 1}. What is prob of picking 3 r? 1/286 What is prob of picking 1 a and 1 u when two letters picked without replacement from {a: 2, u: 1}? 2/3 Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, w: 3, q: 2, p: 13}. 1/190 Calculate prob of picking 2 o when two letters picked without replacement from nonooon. 2/7 Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {d: 5, o: 1, l: 1, b: 12}. 5/171 Four letters picked without replacement from {f: 1, l: 3, y: 6, j: 5}. What is prob of picking 1 f, 1 l, and 2 j? 2/91 Two letters picked without replacement from pipieoptpoikpieit. Give prob of picking 1 k and 1 o. 1/68 Two letters picked without replacement from {s: 1, e: 3, d: 2, q: 1, a: 4}. Give prob of picking 2 e. 3/55 Four letters picked without replacement from {u: 1, o: 1, i: 2, a: 2}. What is prob of picking 2 i, 1 u, and 1 o? 1/15 What is prob of picking 2 d when two letters picked without replacement from tdtttttdqtdtqwtqtwq? 1/57 Calculate prob of picking 2 i and 1 z when three letters picked without replacement from oofofoobbfwozbbiiifb. 1/380 Four letters picked without replacement from fnfnffn. Give prob of picking 4 n. 0 Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, m: 3}. 2/7 Three letters picked without replacement from gaamaswwgemw. Give prob of picking 1 s and 2 m. 1/220 Calculate prob of picking 2 r when two letters picked without replacement from {r: 11, k: 5}. 11/24 Three letters picked without replacement from {j: 2, y: 2, m: 1, w: 2, z: 1}. What is prob of picking 2 y and 1 m? 1/56 Four letters picked without replacement from bbboqoqbqqoqboqbobq. Give prob of picking 4 q. 35/3876 What is prob of picking 1 l and 3 g when four letters picked without replacement from {l: 5, g: 11}? 165/364 Two letters picked without replacement from rrarrrrrrrrararrrr. What is prob of picking 2 r? 35/51 What is prob of picking 1 z and 1 p when two letters picked without replacement from {p: 1, z: 2, y: 1, f: 5, q: 1}? 2/45 Two letters picked without replacement from {p: 2, x: 1, f: 1, e: 2, c: 6}. What is prob of picking 1 c and 1 x? 1/11 Calculate prob of picking 1 y and 2 t when three letters picked without replacement from yytttttyttt. 28/55 What is prob of picking 2 f, 1 u, and 1 y when four letters picked without replacement from {y: 10, u: 2, f: 6}? 5/51 Calculate prob of picking 1 c and 1 h when two letters picked without replacement from hfwfhccwwhfcw. 3/26 Calculate prob of picking 2 o and 1 e when three letters picked without replacement from {x: 3, e: 1, s: 1, d: 3, w: 2, o: 2}. 1/220 Three letters picked without replacement from {n: 6, s: 10, a: 1}. What is prob of picking 1 n and 2 s? 27/68 Four letters picked without replacement from {r: 9, n: 3}. What is prob of picking 2 r and 2 n? 12/55 Calculate prob of picking 2 k and 1 q when three letters picked without replacement from {q: 9, k: 7}. 27/80 Calculate prob of picking 2 c and 2 v when four letters picked without replacement from {v: 2, c: 2, u: 9}. 1/715 Two letters picked without replacement from {s: 5, r: 2}. Give prob of picking 2 r. 1/21 Four letters picked without replacement from ecjeeeejee. Give prob of picking 1 j and 3 e. 1/3 Calculate prob of picking 3 q and 1 t when four letters picked without replacement from qqqqtqqqqqtq. 16/33 Two letters picked without replacement from {w: 2, h: 2, d: 6, b: 1, n: 1}. What is prob of picking 1 n and 1 w? 1/33 Three letters picked without replacement from dtvdvtdvvvgdt. What is prob of picking 2 d and 1 g? 3/143 Calculate prob of picking 2 h when two letters picked without replacement from {c: 2, h: 9}. 36/55 Calculate prob of picking 1 r and 2 d when three letters picked without replacement from {g: 4, d: 3, r: 6}. 9/143 Calculate prob of picking 2 r when two letters picked without replacement from {r: 13, s: 4, d: 3}. 39/95 Calculate prob of picking 1 t and 1 x when two letters picked without replacement from xrttrzrsttdrtxt. 4/35 Calculate prob of picking 1 o, 1 a, 1 d, and 1 e when four letters picked without replacement from edoooeoooawaaddaaoo. 20/323 Three letters picked without replacement from eaaunovuaevu. Give prob of picking 2 a and 1 e. 3/
{ "pile_set_name": "DM Mathematics" }
98 = -2*x + l. Round x to the nearest one hundred thousand. -1300000 Let b = 30.767 - -3.103. Let z = -33.87002822 + b. What is z rounded to 6 dps? -0.000028 Let t = -17.4091673 + -88445.5878327. Let l = -88499 - t. Let b = l + 36. What is b rounded to 3 decimal places? -0.003 Let p = 573.2 - 642. Let t = 68.79999974 + p. Round t to 7 decimal places. -0.0000003 Let k = -2908272 - 1318728. What is k rounded to the nearest one hundred thousand? -4200000 Let c = -44923 + 227773. Let p = -281250 + c. Round p to the nearest ten thousand. -100000 Let n = -1.39110009336 + 1.3911. What is n rounded to seven decimal places? -0.0000001 Let f be (-5)/(-18 + -2) - 86/(-8). Suppose 2 = 13*o - f. Suppose 7*v - 4*v + o = c, -4*c + 31 = -3*v. What is c rounded to the nearest 100? 0 Let p = 30.98030336 - 30.98. What is p rounded to six decimal places? 0.000303 Let j = 6.77 - -16.67. Let h = j + -8.151. Let z = h + -15.3. What is z rounded to 1 dp? 0 Suppose 2*i + 5*i = 35. Suppose -i*u - 217290 = -0*u + 2*p, -u = 2*p + 43450. Round u to the nearest ten thousand. -40000 Let o be (21/(-27))/(2/(-18)). Suppose -3*l = 5*t + 582, -2*l + 12*t - 363 = o*t. What is l rounded to the nearest ten? -190 Let q = -613995210 + 613994435.998838. Let r = 774 + q. What is r rounded to four decimal places? -0.0012 Let d = -42625.000029145 + 42625. What is d rounded to seven decimal places? -0.0000291 Let d = -0.03132877 + 0.0144225. Let u = d - -0.0169. What is u rounded to seven decimal places? -0.0000063 Let m(i) be the first derivative of -2*i**4 - 14*i**3/3 - i**2 + 11*i + 172. Let d be m(-4). What is d rounded to the nearest ten? 310 Let z = -2186.6 - -1574. What is z rounded to the nearest ten? -610 Let b = -161794 + 161792.08878. Round b to 1 dp. -1.9 Let a = 2.6345 - 2.6345225065. What is a rounded to seven dps? -0.0000225 Let z = 0.1174 - 0.0672. Let k = 1.7898 + z. Round k to zero dps. 2 Let m(v) be the third derivative of -125*v**4/8 + 5*v**3/6 - v**2. Suppose -85*d - 18 = -27 - 76. Let l be m(d). What is l rounded to the nearest one hundred? -400 Let g = -0.178 - -0.331. Let h = 8 - 8.1696. Let b = h + g. What is b rounded to 3 dps? -0.017 Suppose -2*f + 3*r = -31, -4*f = -5*r - 21 - 44. Suppose 21*a - 641000 = f*a. Round a to the nearest 10000. 640000 Let y be (-2)/16 + (-3198)/16. Let c be y*(8/(-8) - -31951). Round c to the nearest 1000000. -6000000 Let v = -7679 + 4229. Let n = -3450.2109 - v. Round n to one decimal place. -0.2 Let o = -0.06 + 0. Let m = -2728 - -2727.965. Let f = m + o. Round f to two dps. -0.1 Suppose 4*o - 4*i = 7901012, -4*o + o = -5*i - 5925757. Suppose o - 7728254 = -11*w. What is w rounded to the nearest 10000? 520000 Let i be (-65195)/(-3) - 1 - 28/(-21) - 0. Round i to the nearest 1000. 22000 Let y = -80362984.99999488 - -80362878. Let k = -107 - y. Round k to seven dps. -0.0000051 Let d = -1678336 + 1678271.16221. Let c = d - 8.16711. Let l = 73 + c. Round l to 3 dps. -0.005 Suppose 35*s + 5 = 30*s. Let p be (29574/12)/(s/(-6)). Suppose -42213 = 3*f + p. Round f to the nearest 10000. -20000 Let d = 260 - 260.0364. Let o = -0.03640809 - d. Round o to 6 dps. -0.000008 Let k = -15229 + 15232.8644. Round k to 1 decimal place. 3.9 Let w = 54.9913 - 55. Let c = w - -283.0087. Let a = 283.000179 - c. What is a rounded to five dps? 0.00018 Let c = 25032.3 - 29413. Round c to the nearest 1000. -4000 Let y = -6483 + 6482.75205. Round y to two dps. -0.25 Let w = 3.8795573 + -4.02865. Let z = 0.1492 + w. What is z rounded to 5 decimal places? 0.00011 Let x(u) = -2*u**2 - 101*u + 58. Let o(m) = m**2 + 51*m - 29. Let p(a) = -5*o(a) - 3*x(a). Let r be p(-21). What is r rounded to the nearest 10? -600 Let t = 2.8 - 4.6. Let l = 3.4463835 - 1.646389. Let p = l + t. What is p rounded to six dps? -0.000006 Let q = -73 + -86. Let n = q - -67. Let b = -91.999918 - n. Round b to five dps. 0.00008 Let f = 1545 + -1050. Let b = f + -495.0229. What is b rounded to 3 decimal places? -0.023 Let a(i) = i**2 - i - 1. Let j(v) = -9*v**2 - 19*v - 100. Let r(l) = -2*a(l) - j(l). Let g be r(-14). Round g to the nearest one thousand. 1000 Let f = -0.27059 - 0.014182. What is f rounded to two dps? -0.28 Let l = -10592.8 - -12020. Round l to the nearest 100. 1400 Let x be 25/(-75)*-1552*(11 + 1). Suppose f - 5*o + 589 = 4827, -4*o = 8. Let l = f - x. What is l rounded to the nearest one thousand? -2000 Suppose 5*f = 25, 5*r = r - 3*f + 15. Suppose -q = -r*q. Suppose -3*o = -g + 4*g + 3329991, 3*g - 4*o + 3330012 = q. Round g to the nearest 100000. -1100000 Let u(g) = 12*g - 53. Let n be u(5). Let j be 1410*(n + 85/(-15)). Round j to the nearest 100. 1900 Let i = -124.67 - -0.67. Let x = i - -123.9708. What is x rounded to three dps? -0.029 Let p = 38.971 + -39. Let s = 5.111 - p. Round s to one dp. 5.1 Let j = 628.9556 + 0.0444. Let g = -618.9 + j. Round g to the nearest 10. 10 Let h(w) = -1370719*w + 260. Let z be h(-16). Let v = z - 34581764. Round v to the nearest 1000000. -13000000 Let d = 191.9 - 146.435. Let p = -158.1 - -158.435. Let n = d + p. Round n to the nearest 10. 50 Suppose 2 - 14 = -2*j. Suppose j*o - 2163 = 3*o. What is o rounded to the nearest 10? 720 Let b = 146.132 - 146.065159. Let y = b + -0.067. What is y rounded to 5 dps? -0.00016 Let q = 31.00635 - -0.31165. What is q rounded to 1 dp? 31.3 Let n = 0.69 + 178.31. Let q = -61.4 - n. Round q to the nearest 10. -240 Suppose -3*m - 9*y + 12*y = 426960012, 0 = 4*m + y + 569279996. What is m rounded to the nearest one million? -142000000 Let t = 12.44 + -12. Let s = 917138 - 917138.4399564. Let w = s + t. Round w to five dps. 0.00004 Let c = 5441.0735 + 9.6265. Let p = -5117 + c. Round p to the nearest ten. 330 Let t = -2.5 + 2.9. Let z = t + 3.6. Let s = -2.4 + z. What is s rounded to the nearest integer? 2 Let v = 0.08 + 36.92. Let o = v + -36.44. Let b = -6.94 - o. Round b to the nearest ten. -10 Suppose 33*u = 38*u - 65. Let z(i) = -1 + u - 129997*i + 6. Let x be z(-6). What is x rounded to the nearest 100000? 800000 Let k = -10420.9990731 + 10421. Round k to 4 decimal places. 0.0009 Let a = -11.589 - -9.2824. What is a rounded to 2 dps? -2.31 Let i = -0.02343 - -52.42343. What is i rounded to the nearest one hundred? 100 Let u = -3938.999999961 - -3939. What is u rounded to 7 dps? 0 Let l be (124/10)/(7/(-35)). Let j = -102 - l. Let i be j/15*(-99)/(-12). What is i rounded to the nearest ten? -20 Let v = 2768.974142 - 2769. What is v rounded to three dps? -0.026 Let h = 26.437 + -26.4. Let n = h + -0.02821. Round n to 4 dps. 0.0088 Let y = -600 - -448. Let f = -152.348 - y. What is f rounded to 1 dp? -0.3 Let d = 204 - 355. Let z = -364 - d. Let m = z + 213.00000137. Round m to 7 dps. 0.0000014 Suppose 11*c + 8 = 15*c. Let j be (-3205*(-42)/60)/(1/c). What is j rounded to the nearest one hundred? 4500 Suppose 4*b - 53*b - 87*b + 950177600 = 0. Round b to the nearest ten thousand. 6990000 Let z = -68.7606343 + 68.76. What is z rounded to four decimal places? -0.0006 Let r = 0.027 + -0.0783. Let c = 8.8387 - r. Round c to 0 decimal places. 9 Let s = 70008 + -70007.99999971343. What is s rounded to seven dps? 0.0000003 Let f be (-1922 + -45)*(-710)/35. Let m = -5 - -8. Suppose 2*y - f = m*d, 19625 = -4*d - 2*y - 33573. What is d rounded to the nearest ten thousand? -10000 Let n(l) = 959921*l - 4968. Let k be n(8). What is k rounded to the nearest one hundred thousand? 7700000 Suppose 0 = -15410*m + 15443*m - 1262250. What is m rounded to the nearest 100000? 0 Let n(d) = -20*d + 8*d + 2*d - 658573*d**2 + 7. Let z be n(-7). Round z to the nearest one million. -32000000 Let i = 25.5 - -7.5. Let y = i - -10. Let p = 42.9997 - y. What is p rounded to 3 decimal places? 0 Let w(y) = 88*y - 28. Let d be -6*2*(4 - 5). Let f be w(d). What is f rounded to the nearest one hundred? 1000 Let d = 44018 + -44019.8503. What is d rounded to two decimal places? -1.85 Let a(y) = -y**3 - 14*y**2 - 23*y - 20. Let o be a(-12). Let j be 2973 - 56/o*4. Round j to the nearest one thousand. 3000 Let g = -91.63 + 95.9965. Let z = g - 4.4. What is z rounded to 3 dps? -0.034 Let y = 639.1 + -639.10026831. Round y to 4 decimal places. -0.0003 Let m(j) = -2108*j**3 + 204*j**2 - 13*j + 32. Let h be m(6). Round h to the nearest 10
{ "pile_set_name": "DM Mathematics" }
+ z. List the prime factors of w. 7 Let o(l) be the first derivative of -7*l**2 + 667*l - 70. List the prime factors of o(0). 23, 29 Let n(o) = -o**3 + 9*o**2 + 11*o - 8. Let g be n(10). Suppose -5*w - 3*s = 10, 2*s + g = -3*w - 5. List the prime factors of (3 - 18/8)/(w/24). 2, 3 Let x be ((-4)/3)/(2/3). Let a be (1 - 2)/(-2 + (-1 - x)). What are the prime factors of 67 - (-2 + a - -2)? 2, 3, 11 Let v(c) = c**2 + c. Let o(g) = -2*g**3 - 3*g**2 + 30*g + 7. Let l(u) = o(u) + 4*v(u). List the prime factors of l(-5). 2, 7 Let j(i) be the third derivative of -i**5/15 - 5*i**4/12 - i**3 + 42*i**2. Let g be j(-2). What are the prime factors of -3 + g + -10 + 133? 2, 59 Suppose 0 = 48*n - 50*n + 18548. What are the prime factors of n? 2, 4637 Let u be 4/6*3/(-2). Let q be 1 + (-1)/(-1) - u. Suppose 4*z - 1179 = x, 0*x = q*x - 3. What are the prime factors of z? 5, 59 Let i be ((-3)/(-9))/((-1)/(-12)). Let r(d) be the first derivative of d**4/2 + d**3 + 3*d**2/2 - 14*d - 1099. List the prime factors of r(i). 2, 3, 29 Let m(v) = -v**3 + 17*v**2 + 20*v + 9. Let t be m(17). What are the prime factors of (0 - (-24)/6) + t? 353 Suppose 0 = 4*t - h - 3955, 12 = 126*h - 130*h. Let b = -11 + 21. Suppose 14*w - t = b*w. List the prime factors of w. 13, 19 Suppose -1 - 5 = 2*u, 5*m + 2*u = 19. Suppose -2*n = 3*a - 16, a = -0*a + m*n - 23. Suppose -2*t + 220 = a*t. What are the prime factors of t? 5, 11 Let d(h) = -361*h + 359. List the prime factors of d(-73). 2, 3, 7, 53 Let w(b) be the third derivative of b**4/4 - b**3/3 - 18*b**2. Let o be w(5). Let p = 182 - o. What are the prime factors of p? 2, 7, 11 Suppose 3*j = 83 - 50. Suppose 0 = 4*t + 2*f - 14, -10*f + 13*f - j = -t. What are the prime factors of t? 2 Let f(l) = -4*l + 1134. Let z be f(0). List the prime factors of z/15 + (-10)/(-25). 2, 19 Let z = 821 - 812. Let i(m) = -51*m**3 + m**2 + m - 2. Let t be i(-2). Suppose 3*f = -z*f + t. What are the prime factors of f? 2, 17 Let m = 3777 - 1996. List the prime factors of 0 + 0 + 8 + m. 1789 Let d(z) = -z**3 + 2*z**2 - 5*z - 5. Let c = -148 + 142. What are the prime factors of d(c)? 313 Suppose 4*k - 12 = 0, 28*k = 3*w + 23*k - 145002. List the prime factors of w. 3, 41, 131 Let q(d) = -d**3 - 11*d**2 - 6*d + 5. Let r be q(-8). Let v = r - -362. List the prime factors of v. 223 Let g = 43 + 37. Suppose g*f - 87*f + 2758 = 0. List the prime factors of f. 2, 197 Let t(x) = 19*x**3 + 2*x**2 + 10*x - 6. Let p be t(6). What are the prime factors of p/10 + -8 - (1 - 0)? 2, 3, 23 Suppose -19 + 127 = 2*v. Let k = 1692 - 187. Suppose k = -47*g + v*g. List the prime factors of g. 5, 43 Suppose 2*t = -3*k + 245, 0 = 4*k + 3*t - 176 - 151. Let r be (54/(-7))/((-16)/224). Let a = r - k. What are the prime factors of a? 3 Let s = 25377 + -12332. List the prime factors of s. 5, 2609 Let v = 3 - 5. Let x be (-4)/36 - 33735/135. List the prime factors of x/(-20) + 1/v. 2, 3 Suppose 0 = 21*y - 19*y - 14. Suppose 0 = -n - 3*o - y - 16, -3*n = -2*o + 58. List the prime factors of (n/7)/((-2)/7). 2, 5 Let h(y) = -1412*y + 839. What are the prime factors of h(-4)? 13, 499 Let g be 2/(-4)*(-8 + 10). Suppose -643 = 6*d - 2095. Let s = d + g. List the prime factors of s. 241 Let a = 16728 - -6681. List the prime factors of a. 3, 17 Suppose 84*k - 79*k + 59175 = 0. What are the prime factors of (k/60)/(12/(-32))? 2, 263 Suppose 0 = 5*h - b - 2245, -3*h + 1354 = -2*b - 0*b. What are the prime factors of (-4 - (5 + -10))*(3 + h)? 11, 41 Suppose 4*m - 802 = -3*c, 389 = 3*c - 3*m - 427. Suppose 4*l = -3*d + 758, d = -0*d + 3*l + c. What are the prime factors of d? 2, 3, 43 Let f(o) = o**3 - 5*o**2 - 22*o - 24. Let s be f(11). Suppose -t + h = -s, -1384 = 18*t - 21*t + 2*h. List the prime factors of t. 2, 29 Suppose -63 = 7*o - 14*o. Suppose -o = a - 39. List the prime factors of -10*(-105)/a*2/2. 5, 7 Let h = -100116 + 145365. List the prime factors of h. 3, 15083 Let u(q) = 7*q**2 - 8*q - 48. Let r be u(-6). List the prime factors of (-72)/r + (-3084)/(-14). 2, 5, 11 Let p = 8587 - 216. List the prime factors of p. 11, 761 What are the prime factors of 1611*((-1)/(24/(-218)))/((-41)/(-164))? 3, 109, 179 Let m(y) = 26*y - y**3 - 58*y**2 + 105*y**2 + 28 - 57*y**2. Let a be m(-12). Suppose 2*k - 220 = k - a*p, -5*k + 2*p + 1210 = 0. List the prime factors of k. 2, 3, 5 Suppose 446899 - 103132 = 19*p. List the prime factors of p. 3, 37, 163 Suppose -5*n = 3*k - 41619, -2*k - 3*k + 69393 = -n. What are the prime factors of k? 2, 3, 257 Let j be (6/4)/(((-21)/(-8))/(-7)). What are the prime factors of (j/((-40)/(-145)))/((-1)/6)? 3, 29 Let a(l) = -20*l + 74. Let t(f) = 23*f**2 + 92*f + 2. Let b be t(-4). List the prime factors of a(b). 2, 17 Let v = -39 + 48. Suppose 12 = -5*r + v*r. Suppose -62 - 337 = -r*j. List the prime factors of j. 7, 19 List the prime factors of (-644)/(((-8)/12416*-8)/((-8)/32)). 2, 7, 23, 97 Let x(s) = -3*s + 39. Let k be x(21). Let u = 20 + k. What are the prime factors of -3 - (-261)/(7 + u)? 2, 3, 7 Let f be 4 + 12/(-6) - -1. Suppose 0 = 2*b + 5*a - 1073, -1113 = -2*b - 0*b + f*a. What are the prime factors of b? 3, 61 Let x = -2307 + 1588. Let f = x + 1644. What are the prime factors of f? 5, 37 Let g(z) = 2*z - 14. Let w be g(8). Suppose 4*s = w*s. Suppose s*d + 1099 = 7*d. What are the prime factors of d? 157 Suppose -12*t + 659366 - 39326 = 0. What are the prime factors of t? 2, 5, 5167 Let u be 6/(-7)*(-126)/27. Suppose -3*s + 168 = -3*b - 0*s, 0 = -u*b - 5*s - 188. Let y = b - -109. What are the prime factors of y? 3, 19 Let l = -2122 + 23599. List the prime factors of l. 3, 7159 List the prime factors of 1499*(-9 - (-3 + -7))*7. 7, 1499 Let y(h) = -h**2 - 4*h + 3. Let d be y(-5). Let z(w) = -4 - 65*w + 21*w + 18*w**2 + 21*w + 24*w. What are the prime factors of z(d)? 2, 3, 11 Suppose -4*s - 64514 = -5*c, 4*c - 15743 = -5*s + 35819. List the prime factors of c. 2, 6449 Suppose 9*x - 59 = -5. Let d(c) = 2*c**2 + 11*c - 40. What are the prime factors of d(x)? 2, 7 Suppose -16*c = 59*c - 1103072 - 301378. List the prime factors of c. 2, 3, 3121 Let h(i) = 39684*i**2 - i**3 + 4*i - 39701*i**2 - 10*i + 3. Suppose -3*d + 0*d = -6, -2*a + 2*d = 38. What are the prime factors of h(a)? 3, 5, 7 Suppose 3*n - 150860 = -4*p, 4*p - 2*p + n = 75434. What are the prime factors of p? 67, 563 Let c = 301 + -62. Suppose -3*i + 92 = 2*q, -5*q - 4*i + i + c = 0. Let o = 140 + q. List the prime factors of o. 3, 7 Let b(r) be the first derivative of 11*r**3/3 + 4*r**2 - 50*r + 139. What are the prime factors of b(6)? 2, 197 Let y(z) = 11*z**3 - 3*z**2 + 2*z + 2. Let f be y(2). Suppose 6*j - 160 + 112 = 0. Suppose -7*l + j*l = f. List the prime factors of l. 2, 41 What are the prime factors of (4004/20 - -2)*(28 - -167)? 3, 13, 337 Let q(h) = -17*h**3 + 8*h**2 + 4*h - 2. Let j be q(-3). Suppose 0 = -n - g - g + j, 0 = -2*n - 5*g + 1031. List the prime factors of n. 523 Suppose 5*m - 3*p = 38232, 2*p + 3*p = 3*m - 22936. Let v(w) = -w**3 - m*w + 0*w**2 + 21*w**2 - 6 + 7674*w. What are the prime factors of v(22)? 2, 13 Let d = 65 - 65. What are the prime factors of 522 + d + 54/(-9) + 9? 3, 5, 7 Suppose -4584 = -t - 4*o, -3*t + 14990 = 2*o + 1258. What are the prime factors of t? 2, 11, 13 Let y = -9657 - -22387. What are the prime factors of y? 2, 5, 19, 67 Let w = -1903 - -2687. Let c = w - 508. List the prime factors of c. 2, 3, 23 List the prime factors of 456/(-24) + 28 - (2081*-96)/3. 66601 Let a(g) be the third derivative of g**5/30 + 5*g**4/12 + g**3/2 - 267*g**2. Suppose d + 24 = 4*l, 0*d = 4*d + 2*l + 24. List the prime factors of a(d). 3, 17 Let v(n) be the third derivative of -7*n**4/8 - 29*n**3/6 - n**2. Suppose 19*b - 21*b = 2*p + 10, 4*b + 2*p = -22. What are the prime factors of v(b)? 97 Let d = 162 + -156. Suppose -16*p + 28776 = d*p. List the prime factors of p. 2, 3, 109 Suppose -r = 3*r - y - 7722, 2*y + 1934 = r. Suppose -2*u + r = 2*u - h, 4*h = -8. List the prime factors of u. 2, 241 Let z = 12287 - 8574. What are the prime factors of z? 47, 79 Let m(f) = 36*f + 687. What are the prime factors of m(-8)? 3, 7, 19 Let k = 569 + -122. Suppose -3*g + 12 + k = 0. What are the prime factors of g? 3, 17 Suppose y + 3396 = -y. Let f = -1173 - y. List the pr
{ "pile_set_name": "DM Mathematics" }
-5*l = -3*d + 9 for l. -3 Let q = 4 + -2. Let m be ((2 - q)/(-2))/(-1). Let n(v) = -3*v - 1. Let s be n(-2). Solve m = t - 3*t - o + s, 4*o = -2*t + 14 for t. 1 Suppose -3*r - 2*v = 109, 6*v + 113 = -3*r + 2*v. Let l be 5/(-2)*84/r. Solve -3*s - y + l = -6*s, 2*s - 4*y + 4 = 0 for s. -2 Suppose -2*t + t + 1 = 0. Let f be t + (-9)/(-3) + 0. Suppose f*j - j - 15 = 0. Solve 4*q - 3*u = -9, -j*q - 4*u + 12 = -0*u for q. 0 Let p = -16 + 28. Suppose 3*t + 15 = -p. Let r be 7/9 - 2/t. Solve -3*n + o - r = -2*n, 5*o - 25 = 0 for n. 4 Let q = -78 - -80. Let d be ((-14)/(-4))/(1/2). Solve -40 = 3*j + 5*h, -q*h = -d*h - 25 for j. -5 Let j(a) = -a**3 + 10*a**2 + 2*a - 2. Let w be j(10). Suppose 4*g = 3*g + w. Solve 0 = z - 5*u - g, 3*u = z - 4 - 8 for z. 3 Suppose -21 = v - 5*x, -3*v + 2*x + 7 = x. Solve 2*u - 25 = -v*k - k, -20 = -4*k - 5*u for k. 5 Let u be 3/(-3)*0 - -1. Suppose 3*c - u = 8. Solve 2*k = c*s - 9, -k + 4*s = -1 + 18 for k. 3 Let j(x) = -x**2 + 14*x - 11. Suppose -k - 64 = -5*o, -32 = -3*o + 2*k + 5. Let p be j(o). Solve 4*c + 2*f = -4, 0 = -6*f + p*f - 16 for c. 1 Suppose -147 = 5*a + u - 371, -5*u - 95 = -2*a. Solve -2*y - 2 = -4*b + b, -5*y - 5*b + a = 0 for y. 5 Suppose -6*w + 8*w = 12. Suppose -w*o = -3*o. Let h be -2 - -3 - (1 + o). Solve h*f + 4*n - 24 = 2*f, 3*n - 15 = 0 for f. -2 Let d = 3 - 1. Let b be (d/(-2) + 11)/2. Solve -5*k + y = -3*y + 6, -b*k - 5*y - 15 = 0 for k. -2 Let w be 14 + 3 + (1 - 4). Suppose -3*y + 1 = -w. Solve -v = -3*d - 4, 4*v - 2*v = 3*d + y for d. -1 Let b = 12 + -20. Let p(l) = -8 + 6*l**2 - l**2 - 4*l**2 + 7*l. Let m be p(b). Solve 0 = 5*q + 2*v - 8, 3*q - 2 = -4*v - m for q. 2 Suppose -10 = -3*s - 46. Let x = s + 17. Suppose -2*m - 2*l = 6, 4*l + 22 = 2*m - 2. Solve -2*r - 2 - m = -2*o, x*o = 3*r for r. -5 Let t be (-5)/(-10) - (-7)/2. Solve -p + 5 = -4*v - 0, -t*p + 7 = -3*v for p. 1 Let t be (30/(-25))/((-2)/5). Suppose -c - t*h = 0, -c + 11 = 2*c - 2*h. Suppose -c*q + q = -6. Solve -2 = -l - s + 5, 2*l + q*s - 16 = 0 for l. 5 Suppose -17 = -2*g + 5. Let m(d) = -d**3 + 12*d**2 - 12*d + 14. Let f be m(g). Solve 0 = 2*s + k + 10, f + 2 = -s - 4*k for s. -5 Let t be 2/((-2)/4 + (-30)/(-12)). Solve 2*o + 2*j + t = -j, -5*j = -15 for o. -5 Suppose z + 0*z = 5. Let o be ((-6)/z - 0)*-5. Solve q - o = g, -2*q = -3*g + 5*g for q. 3 Let o = -13 - -9. Let l(b) = b**2 + 4*b + 4. Let z be l(o). Solve 0 = -z*q - 3*j - 2*j + 15, 0 = 4*q + 4*j - 16 for q. 5 Suppose -s = s. Suppose -2*w + 1 + 19 = s. Solve -u = 2*q + 6, -5*u + 2 = -4*q - w for q. -3 Let i(d) = -15*d - 1. Let s be i(-1). Solve -3*q + 2*j - s = 0, 3*q - 4*j + 1 = -21 for q. -2 Suppose -m + 6*m - 5 = 0. Let a = 4 - m. Suppose 2*j = -2*r - j + 4, -r + 4*j + 2 = 0. Solve r*w = -a*w + k, 0 = w + 4*k for w. 0 Let g(u) = u**2 + 7*u + 2. Suppose -2*q - 2*p - 14 = 0, -5*p + 34 = -5*q - 1. Let z be g(q). Solve -4*v + k + 17 = 6*k, v = -z*k + 8 for v. -2 Suppose 0 = -2*s - 2*p + 10, -3*s - 1 = -7*p + 2*p. Let h(z) = 2*z - 3. Let l be h(4). Solve 5*j + 4*c + 8 = 5*c, s*j + 16 = -l*c for j. -2 Suppose -69 + 3 = 3*z. Let o = -12 - z. Solve -2*q - 3*g = -q - o, 4*g - 10 = -3*q for q. -2 Let o = -1 - 3. Let l be (-30)/o*(0 - -20). Suppose -3*a - l = -8*a. Solve -s - 2*x = 3*x + a, 5*x = 5*s for s. -5 Let q(z) = z**3 + 8*z**2 - z - 3. Let x be 2*1*(-1 + -3). Let a be q(x). Solve -3*h - 4 = -5*y - 1, 2*h + 7 = a*y for y. 3 Let y(d) = -d**2 + 25*d - 24. Let q be y(24). Solve 4*l = -4*m + 32, q*l + l = -5*m + 28 for m. 5 Let w(s) = -2*s - 12. Let g be w(-7). Solve -g*b + 2*a - 10 = 0, -b = -0*b + 2*a + 5 for b. -5 Let j = -19 + 24. Solve 0 = -5*a + j, -23 = -5*r + a - 4*a for r. 4 Suppose g - 4*t + 0*t = 0, -5*t = 5*g - 25. Let a be 0*4/8*1/2. Solve -3*b = -12, a*b + 3*b = g*s for s. 3 Suppose 0 = -5*a - 4*t - t + 30, -4*a = 3*t - 22. Let j be 2/5 + 8/5. Let v = a - j. Solve 2*s = -v*s - 8, -2*x - 3*s - 14 = 0 for x. -4 Suppose f - 3*f = -10. Suppose -5*r + 29 = -t, 4*r - 8*r - 3*t = -8. Suppose 0 = u - r - 2. Solve 5*y = a + 6 + u, 4*a = f*y - 22 for a. -3 Let b be (0 - -14)*(-2)/(-4). Let o(h) = -13*h - 12. Let g be o(-9). Let f be (-6)/9 + g/9. Solve f = -2*w - 3*x, -b = 4*w + 3*x - 0 for w. 2 Suppose 0 = 17*g - 68 + 17. Solve -15 = 3*d - g*y, 0 = d + 3*y - 11 for d. -1 Suppose 5*g - 2*g = 4*s - 10, -2 = -3*s + 5*g. Solve 5*n + 21 = -s*b, -2 = -2*n + b - 0 for n. -1 Let u = 3 + 0. Solve -u*o = 5*y + 6, 0*o = -o + 4*y - 2 for o. -2 Let a = -3 + 7. Let c be (a/4)/(2/16). Suppose g - c = -g. Solve 3*t = 3*v - 2 - 13, -t = g*v - 20 for v. 5 Suppose 7 = 5*r - 3. Let d = -3 + 1. Let h = d + r. Solve h*a = -5*a - j + 4, -j + 3 = 4*a for a. 1 Suppose 2*p = 117 - 107. Solve 0 = u + p*q, 2*q = -q + 3 for u. -5 Suppose -8 + 0 = -b. Let a = b - 5. Suppose 6 = -a*x + 4*q - 4, -5*x - 2 = -3*q. Solve x*z - 5*h = 3*z - 9, -4*z - 10 = -3*h for z. -1 Suppose -8*b + 60 = -4*b. Solve -1 = 5*u - 2*r, 3*u = -5*r + r + b for u. 1 Suppose 1 = 2*v + s, -7*v + 9*v - 5 = -5*s. Solve 2*j - 3*f = -v*f - 8, 4*f = 0 for j. -4 Let t = -40 - -44. Solve 2*y + 4*z + t = -18, 0 = -5*y + z for y. -1 Let z = 8 - 20. Let n = 22 + z. Solve 3*l + 6 = -t, -2*t - 2*t + 2*l = n for t. -3 Let r be 6 + (-2 + 3 - 3). Solve -2*k + 30 = -r*o, -k - 3 - 7 = 3*o for k. 5 Suppose f - 4*l + 2 - 1 = 0, -5*f + 12 = -3*l. Solve 4*t = a - 6, 0*a = f*a + 6 for t. -2 Suppose 0 = q + 7 - 12. Solve 0 = 2*x + 4*n + 12, 3*n + 16 = -q*x - 0*n for x. -2 Suppose 4*t + q = -17, -q + 7 = 4. Let x be t*(-1)/(-3)*-3. Solve 0 = -2*d + 3*w + 14, -x + 19 = -2*d - 4*w for d. 1 Suppose 0 + 6 = -2*g, -g + 45 = 3*h. Let w be (-36)/(-15)*10/3. Suppose w*q = 3*q + 30. Solve o + q = -o + j, -4*j - h = 2*o for o. -4 Suppose -5 - 4 = -3*a. Let p be 0 + 0 + -1 + a. Solve 2*g = r, p*g = -5*r + 5*g + 14 for r. 4 Suppose 6 = 26*o - 23*o. Suppose -f - 13 = -4*c, o*f + 4*c = -0*f + 22. Solve f*n + 10 = 4*r, 2*r + r - 6 = 3*n for r. 4 Let c(a) = -3*a + 25. Let v be c(8). Let w be (-18)/8*(-6 + 2). Solve f = v, 0*n - 3*n - w = -3*f for n. -2 Suppose 30 = -3*v + 5*v. Suppose -4*g - v = -9*g. Solve 3*w = -g*c - 0*w, 2*c - 2*w = 12 for c. 3 Let t = -192 + 195. Solve -2*h + 15 = 3*v, 0 = t*v + 5*h - 15 for v. 5 Let a be (0 - 0/2)/(8/(-4)). Let i = 0 + 4. Suppose w - i = -a. Solve 5*d - 6*q + 3*q + 20 = 0, -w*d - q = 16 for d. -4 Let j = -49 + 49. Solve j = g - 0*g - 5*b + 8, 0 = -5*g + b + 8 for g. 2 Let z(q) = 4*q**2 - 3*q + 5. Let h be z(2). Suppose 2*u - h = -u. Solve -r - u*i = -16, 0 = -r - r + i - 1 for r. 1 Suppose 2*a - 6 = q, -2*a + 24 = 5*q + 6. Suppose -3 = h - q. Let c be 2 - (1 + -3 - h). Solve -r + 17 = 4*s - 9*s, -c = -3*r - s for r. 2 Suppose -3*y + 2 = -2*y - 5*u, -2*y = -u - 4. Let x be (-4)/14 + y/7. Solve -4*d = -3*h, x = h - d - 3 + 4 for h. -4 Suppose -5*a + 25 = 5*m, -3*m = -a - 7*m + 14. Solve -a*l + 3*g + 2*g = 23, l + 3*g - 16 = 0 for l. 1 Let d = 6 + -5. Solve 0 = y + 3*x - 2 - d, -3*x = 0 for y. 3 Let o(g) be the third derivative of 0*g + 1/60*g**5 + 0 + 7/6*g**3 + 5/12*g**4 + 4*g**2. Let t be o(-10). Solve -4*c = -x - 2*x - t, -4*c - 3*x = 23 for c. -2 Suppose 3*y - 2*y = 5, -7 = -3*t + 4*y. Suppose -r + 5*a = 15, -r - 3*r + t = 3*a. Let v = 1 - r. Solve 2 + 1 = -3*c, n + c = -v for n. 0 Let a be (-1)/2 + 14/4. Let y = -5 + 7. Let h = a + y. Solve 0 = -h*z - 4*n - 30, 1 = 3*z - z - n for z. -2 Suppose 9*q - 9 = 9. Solve 7*l - 4*l + 3*k = -12, 4 = -q*k for l. -2 Suppose 4*o - 37 = -o - 3*f, o + f = 9. Suppose -5*s - 5 = -q + 6*q, o*s - 2*q = 23. Solve -s*z = -2*x, 0 = -0*x - 2*x for z. 0 Let y = 6 + 0. Suppose 0 = -2*q + 3*o + y, 3*q - 10 = 5*o. Solve 5*b + 5*t + 14 + 6 = q, -4*b - 19 = t for b. -5 Suppose -2*w = -3*h - 0*w, -5*w = -5*h. Solve b - 5*r + 0 - 1 = h, 3*r = 0 for b. 1 Let r = 56 - 56. Solve -4*z - 2*q = -16, r*q - 2*q = 3*z - 12 for z. 4 Suppose -26 = o - 28. Solve 0 = 4*s + 3*n + 5, 7 - o = -s + 3*n for s. -2 Suppose -5 = 2*p + c, -c = -p - 2*c - 5. Let x be 7/(p + 1) + -2. Solve 0*o - 5*d = -3*o - 15, 2*d - x = o for o. -5 Let x be 2/(-10) - 3/(-15). Let z be x*((-1)/(-2))/(-1). Solve -l - 9 = -3*d, -5*d + z*d = -10 for l. -3 Let c be (-86)/10 - 9/(-15). Let p = 20 + c. Solve 0 = -5*k - 3*b - 4 - 2, 0 = -4*b + p for k. -3 Suppose -6*q + 1 = -q + f, -4*q + 3 = 3*f. Solve -n - 4 = q, 2*y + n - 5*n - 22 = 0 for y.
{ "pile_set_name": "DM Mathematics" }
+ i*k + n + t*k**2 + u*k**3 and give s. -67 Express -5*y**2 - 2*y**2 + 3*y**2 - 20 + 3*y**2 - y**3 in the form n*y**2 + v*y + d*y**3 + m and give n. -1 Rearrange -2*p + 12*p - 25*p**2 - 8*p + 18 to the form u*p**2 + s*p + a and give a. 18 Express (3*x - 1 + 1)*((-2*x - 3*x + 4*x)*(-55*x - 60*x + 105*x) + 0 + 0 - x**2 + 3*x**2 - 3*x**2 + 2*x**2) in the form z*x + s + r*x**3 + h*x**2 and give z. 0 Express -4160 + 4160 + 112*f + 3*f - 3*f - 3*f + 0*f - 4*f + 5*f + (0*f - f - f)*(-2 + 5 - 1) in the form y*f + k and give y. 106 Express -4 + 4 + 2*r + (-5 + 3 + 1)*(-4*r + r + r) + (-1 + 0 - 7)*(3*r + 3*r - 4*r) + 0*r + 0*r + r - 13 + 18*r + 13 as a + t*r and give t. 7 Express -1 - 8 - 172*z**2 + 19 + 2*z**4 + 167*z**2 as c + p*z**2 + v*z**3 + f*z**4 + m*z and give p. -5 Express -178*t - 7*t - 11*t as j + l*t and give l. -196 Rearrange -385*s**4 + 779*s**4 - s**2 + 2*s**3 + 13*s**2 - 391*s**4 to x*s**3 + i*s + n*s**2 + m*s**4 + b and give m. 3 Rearrange (-3 - 3 - 2*k + 2)*(-23 - 2*k**2 + 4 + 0*k**2)*(-1 + 4 - 2) to d*k + j + u*k**2 + n*k**3 and give u. 8 Express -19 + 19 - 155*b + 383*b in the form c + j*b and give j. 228 Express -1614*o**4 + 5*o**2 + o + 1612*o**4 + 8*o**3 + 2*o as r*o**4 + l*o + w + d*o**3 + g*o**2 and give l. 3 Express (2 - 1 - 2)*(997*q**2 + 2*q**3 - 997*q**2 + 43) as n*q**2 + y*q**3 + v + m*q and give v. -43 Express -k - 2*k**2 + k + (61*k - 50*k - 34*k)*(3*k - 7*k + k) + k**2 + k**2 + 0*k**2 as y*k**2 + s + h*k and give h. 0 Rearrange -1 + 10*g**2 - 209*g**2 + 24*g**2 - 104*g**2 + 2*g - g to the form i + h*g + z*g**2 and give z. -279 Rearrange (0 + y + 0)*(-26 - 20 + 9 - 53 - 52 + 103 + (-3 + 2 + 2)*(2 - 5 + 1)) to l + a*y and give a. -41 Rearrange -1 - 90*c**2 + 4*c + 184*c**2 - 11*c**3 - 92*c**2 + 2*c**4 to the form f + a*c**2 + w*c + p*c**3 + q*c**4 and give q. 2 Express 167 + 46*r - 47*r + 79 + 22 - 51 in the form l*r + x and give l. -1 Express -1 + t**3 + 1 + 61*t**3 + 58*t**3 - 117*t**3 - 2*t**2 + (-2*t**3 - 3*t**3 + 3*t**3)*(2 + 4 - 1) as l*t**3 + n + a*t + o*t**2 and give o. -2 Rearrange -90*d - d**2 - 115*d - 6*d**3 - 21*d + 9*d**3 - 4*d**3 to f + u*d**2 + h*d + r*d**3 and give h. -226 Rearrange -2*c**3 - 278*c**2 - 285*c**2 + 3*c - 4 + 561*c**2 + 3*c**4 to m + w*c**2 + a*c**3 + q*c**4 + r*c and give m. -4 Express 5*d + 2 - 1418*d**2 + 24*d + 1397*d**2 - 2 in the form p + f*d**2 + l*d and give f. -21 Express (-5*r**3 + 0*r**3 - 5*r**3)*(5*r + 0*r - 3*r)*(14 + 28 + 12) as c*r**4 + i + j*r**2 + f*r**3 + y*r and give c. -1080 Rearrange -135*s**2 - 9*s**2 + 2 - 3*s**2 - 127*s**2 + 35*s**2 to the form q + k*s**2 + d*s and give k. -239 Express (0 - 2 + 1)*(2*t - t + t) + 76*t - 30*t - 21*t + t - 2*t + 4*t in the form j*t + b and give j. 26 Express (-4 - 5 + 8)*((3 + 1 - 3)*(-2 + n + 2) - 1 + 1 - 2*n + 4*n - 3*n + 2*n)*(-5 + 1 + 2)*(-2*n - 4 + 4) in the form x*n + v*n**2 + y and give v. -8 Express (-273 + 273 - 36*n**2)*(-2 + 2 + 2*n**2) - 15*n**4 + n**4 + 0*n**4 in the form r*n**2 + j*n**4 + v*n + c*n**3 + z and give j. -86 Express (-4 + 4 + 151*b)*(3*b - 3*b - b)*(0*b - 2*b + 0*b) in the form s*b**2 + t*b**3 + h*b + j and give t. 302 Express 22*r + 115*r**2 - 211*r**2 + 104*r**2 in the form j*r**2 + z*r + b and give j. 8 Rearrange (-7*t + 3*t - 10*t)*(-1 - 1 + 3)*(5*t**3 - t**3 + 2*t**3) to the form a*t**2 + v*t**3 + g + n*t**4 + d*t and give n. -84 Rearrange 2*p + 151*p**2 + 85*p**2 - 2*p to the form q*p + h*p**2 + z and give h. 236 Express -2 - 8*i + 2*i + 0*i - i - 74 in the form o*i + r and give o. -7 Rearrange 3 - 18*q + 5*q - 36*q**4 + 6*q + 5*q + q**2 - q**3 + 3*q**3 to p*q**3 + x*q + d*q**2 + n*q**4 + l and give l. 3 Express 94*x**2 - 25*x**2 - 6*x + 6*x in the form m*x**2 + k*x + j and give m. 69 Express -20*y**4 + 2*y + 88*y**2 + 91*y**2 - 181*y**2 + 0*y in the form n*y**3 + i*y**4 + l + z*y + f*y**2 and give f. -2 Rearrange (-2*o + 4*o + 3*o + (2*o - 5*o + 2*o)*(2 - 1 + 1))*(80 - o - 87 - 4*o) to u*o + n*o**2 + p and give n. -15 Rearrange 8*u - 8*u + 102*u**2 - 1276*u**2 to the form y*u**2 + j*u + x and give j. 0 Express (-14*q**2 + 4275*q - 4275*q)*(9 - 4 + 2) as n + y*q**2 + x*q and give n. 0 Express 25*m - 79*m + 29*m + 25*m - 670*m**2 as o*m**2 + g*m + b and give o. -670 Rearrange -5*i**3 - 13*i**2 + 11 + 2*i + 6*i - 7*i - 9 to x*i + t*i**3 + r*i**2 + z and give r. -13 Express (2*q - 3 + 3)*(-69 + 207 + 63)*(3*q + 0*q - q) in the form z*q + i*q**2 + r and give i. 804 Express (-3 + 3 - 5 + (-3 + 2 - 1)*(3 - 2 + 2) + 2 + 0 - 3)*(13*o + 13*o - o) in the form x + l*o and give l. -300 Express 59580*w - 4 - 59580*w - 21*w**2 as s + u*w**2 + l*w and give s. -4 Rearrange 104 + 28 + 27 + 31 - z**2 to the form g*z + a + n*z**2 and give n. -1 Rearrange -7 + 6 - 17*o + 1 to the form z*o + m and give z. -17 Rearrange -8*a + 65 + 3*a + a + 5*a + 1133 to d*a + k and give d. 1 Rearrange (0*r - 4*r + 6*r)*((-1 - 2 + 0)*(-2 + 3 + 0) - 59 + 88 + 134) to the form u + s*r and give s. 320 Rearrange -147472*u**3 - 2*u + 9*u**4 + 3*u**4 - 3 + 147470*u**3 to x + p*u**2 + i*u + q*u**4 + a*u**3 and give a. -2 Rearrange 0*x + 39*x**2 - 48*x**2 + 0*x - 27*x**2 + 4*x**3 to t*x + z + w*x**3 + j*x**2 and give j. -36 Rearrange (5*o**2 - 4*o**2 + 2*o**2)*(-13*o**2 + 3*o - 25*o**2 + 2 + 36*o**2) to the form p + h*o**2 + u*o**4 + i*o + m*o**3 and give h. 6 Express -2*z + z + 3*z + (0 + 0 + z)*(0 + 2 - 1) + 6*z - 2*z - 2*z + 7*z + 5*z + 48*z in the form d + m*z and give m. 65 Express 2*o**2 - 17453 + 2*o**3 + o + 17412 - 4*o**3 as v*o**3 + u*o + w + g*o**2 and give g. 2 Express (-3*k + 1 - 1)*(-2 + 4 - 3) - 5*k + 6*k + 13*k in the form n + y*k and give y. 17 Rearrange (-2*a + 2*a - 3*a)*(4*a**2 + 5*a**2 + 0*a**2) - 46 + 46 - 5*a**3 to the form z*a**3 + r + n*a + l*a**2 and give z. -32 Rearrange 0*u**3 - 11123*u**2 + 0*u**3 + u**4 + 4*u + 11124*u**2 to the form w*u**2 + v*u**3 + k*u + y + h*u**4 and give h. 1 Express -5*p + 395 - 397 + 4*p as h*p + t and give h. -1 Express 10*d**2 - d - 40*d**2 + 5 - 6 + 3 + 0*d as p*d**2 + t + w*d and give w. -1 Rearrange -164*h + 75*h + 158*h**3 - 3*h**2 + 90*h to q*h**2 + r*h**3 + y + w*h and give w. 1 Rearrange (96*f + 108*f - 302*f)*(1 - 6 + 4)*(3 + 4 + 2) to g*f + b and give g. 882 Rearrange 1808*a - 30 + 30 - 2617*a to o*a + r and give r. 0 Rearrange -235 - 5*x + 297 - 5*x**2 + 2*x**2 to the form f*x**2 + d*x + g and give f. -3 Rearrange 102*z**3 - 60*z**3 + 4*z - 3 - 2*z**2 - 70*z**3 to the form b + h*z**2 + a*z + m*z**3 and give a. 4 Rearrange -52*y + 38 + 6*y + 51*y to l + a*y and give a. 5 Rearrange -12*g - 14*g - g**3 + 12*g to the form n + j*g**3 + q*g + t*g**2 and give j. -1 Rearrange 2984*y + 1822*y**2 - 2984*y to the form c*y**2 + n + s*y and give c. 1822 Express (-5 + 2 + 4)*(-1 - 3 + 6)*(5 - 1 + 22)*((4*u**2 + 0*u**2 - 5*u**2)*(4 - 5 + 0) + 3*u + 2*u**2 - 3*u) in the form w*u + q + f*u**2 and give f. 156 Rearrange 12*w - 12*w + 2*w - 3*w + 2636 + (-2*w - 3*w + 3*w)*(0 - 2 + 0) + w - 1 + 1 - 2*w + 2*w - 2*w to h + j*w and give j. 2 Rearrange -7*j**2 + 8*j**2 - 9*j + 25*j - 41*j**3 - 14*j + 126*j**3 to f*j + b*j**3 + s + k*j**2 and give b. 85 Express -2*h**2 - 3*h - 29*h**2 + 2*h - 21*h**2 in the form j*h**2 + q*h + k and give j. -52 Rearrange (4 + 0 - 7)*(-3*l - 8*l - 7 + 14*l) to the form d + p*l and give d. 21 Rearrange 40147 - 40147 + 688*w to the form h + c*w and give c. 688 Express 743 - 743 + 214*u + u + 0*u + u + (1 - 2 + 2)*(-3*u + 0*u + 4*u) as w + t*u and give t. 217 Express 245*d**2 - 537*d**2 + 238*d**2 as i*d + m + t*d**2 and give t. -54 Express (-4*x**2 - 2*x**2 - x**2)*(-5*x + 2*x + x) + 8*x**3 - 4*x**3 - 11*x**3 as d*x**3 + n + y*x**2 + i*x and give d. 7 Express (-1 + 1 + a**2)*(0*a + 0*a + 2*a) + 3756*a**3 + 3763*a**3 - 7515*a**3 + 55*a in the form h*a**2 + d + i*a + u*a**3 and give u. 6 Rearrange 18*o + 102*o + 252*o to v*o + x and give v. 372 Express 5894 - 5893 - 237*v - 89*v as o + j*v and give o. 1 Express (12*f - 18*f + 9*f)*(-5 + 0 + 2) + (2*f + f - f)*(5 - 6 + 4) as m + u*f and give u. -3 Express 2*f - 2*f + 2062 - 2063 - 7*f**2 - 9*f**3 in the form j*f**3 + a*f + b*f**2 + g and give b. -7 Rearrange (-18 + 0 + 3991*l - 3998*l)*(3 - 2 - 3) to the form a + h*l and give h. 14 Rearrange -25*i + 3 + 75*i - 97*i - 3 to the form n*i + y and give y. 0 Express -2*x**2 - 4*x*
{ "pile_set_name": "DM Mathematics" }
e -4 - (0/(-3) + 81). Let i = 85 + m. Solve i = -2*h + 4*h for h. 0 Let d be (-55)/110*(0 - 2*5). Suppose 2*m = -3*s + 17 + 24, 5*m = 4*s + 68. Let g be m/d - (-8)/(-40). Solve -12 - 3 = g*q for q. -5 Let g = -6 - -16. Let k = -20 + 10. Let x = g + k. Solve x = -0*t + t + 1 for t. -1 Let d(q) = -q**2 + 34*q - 115. Let p be d(30). Solve 16*n = p*n - 11 for n. -1 Let u = -170 - -172. Solve 0 = u*l + 5 - 15 for l. 5 Suppose 2*z + 5*i - 9 = 0, -2*z + 5*z - 10 = -4*i. Let r = -108 - -110. Solve -3*k + r*k = z for k. -2 Suppose 0 = 2*t - 5*g, -5*t + 18 = g - 9. Let n = 5393 - 5390. Solve n = -t*q + 2*q for q. -1 Let n(m) = m**2 - 9*m + 20. Let q be n(4). Solve q = -3*l + 18 - 6 for l. 4 Let f = -14 + 33. Let z = f - 12. Suppose 5*m = z + 8. Solve 0 = 4*a - m*a - 5 for a. 5 Let b be (-11 + 868/77)*(12 - 1)/1. Suppose 0 = 4*w - 3*w - 6. Solve -3 = b*m + w for m. -3 Let k(x) = 3*x**2 + 29*x + 22. Let a be k(-10). Solve a = -10*p + 2 for p. -3 Suppose 0 = -0*p + 6*p - 438. Suppose 0 = 78*h - p*h. Solve h = 3*q - 4*q for q. 0 Suppose -o - 12 = -13*o. Solve 0 = 2*y + o + 3 for y. -2 Let q(k) = 2*k**3 + 9*k**2 - 6*k - 5. Let l(d) = d**3 + 6*d**2 - 7*d - 5. Let w be l(-7). Let t be q(w). Solve t = -b - 2 - 2 for b. -4 Let m(x) = -2*x**2 + 10*x + 3. Let k be m(5). Suppose -1 = -k*v + 8. Solve -3*l - 6 = -v for l. -1 Suppose 4*z - 39 = 2*z - 5*u, 4*u = -z + 24. Suppose -i - 4*n = -9 - z, 5*n = 2*i - 68. Let c = 33 - i. Solve -a + c = -0*a for a. 4 Let s(v) = -v**3 - 6*v**2 - 3*v + 14. Let b be s(-5). Suppose 2*y = -y + 3*x - 6, 18 = y + 4*x. Solve b = -n + y*n for n. 4 Let t = 9 + -8. Suppose -2*u = -5 + t. Suppose u*o - 3 - 3 = 0. Solve -6*y = -o*y for y. 0 Let n be -1*(-5)/((-10)/(-6)). Suppose 3 - 13 = -5*v, 109 = n*o + 5*v. Solve 0 = -5*h + o - 8 for h. 5 Let o be (-9)/21 - 140/(-98). Solve 5 = -u + o for u. -4 Let r = -4 + 4. Suppose r = -4*k - 5*q - 0 - 1, q - 3 = -4*k. Solve 3 = 4*a - k for a. 1 Let u = -164 - -177. Solve u*p + 24 = 5*p for p. -3 Let t = -18 + 50. Let k be (-8)/t + 42/8. Let s be (0/(2 + -4))/(-2). Solve s = -0*d + k*d for d. 0 Suppose -6 + 12 = 2*d. Let w be 18/d*2/6. Solve -w - 1 = 3*f for f. -1 Suppose w + 2*w - 9 = -3*l, -w + 3 = -l. Suppose 0*v = -w*v + 4*s + 27, 0 = -3*v + s + 18. Let x(p) = p + 5. Let h be x(-3). Solve 7 - h = v*m for m. 1 Let i be 5/(((-30)/48)/(12/(-16))). Solve 0 = i*u + 15 - 3 for u. -2 Suppose d - 5 = -0*d. Suppose 3*w + 25 = 4*c, 11*w - 14 = -5*c + 9*w. Solve -d + c = b for b. -1 Let j(i) = i**2 - 4*i + 4. Suppose -4*o = -z - 3*z - 32, 4 = 3*o + 2*z. Let k be j(o). Suppose 0 = -u + 2*t + 9, -t - 7 - 8 = -k*u. Solve 7*d - u*d = -12 for d. -3 Let i be ((-21)/6 + 2)*(-12)/9. Suppose 4*z - 19 = -3*b, -i*b = -2*z - 3*b + 9. Solve 0 = z*m - 6*m for m. 0 Let d(a) = -a - a**2 + 11*a - 2*a - 9. Let k be d(6). Let t = k - 3. Solve p - 2*p = t for p. 0 Let w(f) = -4*f**3 - 2*f**2 - 3*f - 3. Let r(t) = -t**3 + t**2 + t. Let x(c) = 5*r(c) - w(c). Let o be x(8). Solve o = 6*k - 3*k for k. 1 Suppose -2*g = 4*i - 2, -2*i + 20 + 11 = -5*g. Let a be (-7 - -3) + 1 + i. Solve a = 2*l + 4 + 2 for l. -3 Let v = -108 - -133. Solve 22*n = v*n for n. 0 Let r(l) = 2*l - 8. Let o be r(5). Suppose -5*j - 5*a + 30 = 0, o*a + 11 - 3 = 3*j. Suppose 9*n - j*n - 50 = 0. Solve -3*i = -n - 5 for i. 5 Let o = 2611 + -2611. Let j(b) = b**2 - b - 5. Let x be j(-4). Solve -3*i - x = -o*i for i. -5 Let r be (-1 + 11*4/20)*-25. Let g = 46 + r. Solve -2*n + g = -6*n for n. -4 Suppose 165 = 3*p - 3*k, -5*p + k + 221 = -50. Solve 3*h = -p + 39 for h. -5 Suppose -4*o + 4*u = -20, 7*o = 5*o - 3*u + 15. Solve 2*x + o*x - 16 = 0 for x. 2 Suppose -i = -3*w + 12, -3*w + w = 5*i - 8. Suppose -y - 102 = -w*y. Suppose -4*p + y = -2*b, -p - 4*p = -b - 38. Solve -2*l = -p*l - 5 for l. -1 Let c(j) be the first derivative of j**2 + 6*j - 3. Let p be c(0). Solve p = -a - a for a. -3 Let w(x) = 5*x**3 - 3*x**2 + 7*x - 1. Let i(k) = 6*k**3 - 3*k**2 + 8*k - 2. Let o(a) = -6*i(a) + 7*w(a). Let v be o(-3). Solve -6*z + 10 = -v for z. 2 Suppose 3*o = 2*m - 1, -o - o - 6 = 0. Let h(k) = k**2 - k - 5. Let p be h(m). Suppose -2*n + p = 7. Solve v - 1 = -n for v. -3 Let y(f) = -3*f - 20. Let u be y(-8). Let c(t) = 7*t + u + 2*t**2 + 8*t - 6*t. Let a be c(-4). Solve a = d - 3 for d. 3 Let q(u) = -u**2 + 7*u. Suppose k - 21 = -3*y, 5*k = -2*y - 0*y + 14. Let d be q(y). Suppose 0*c - 2*c + 8 = d. Solve 0 = 5*a + 9 - c for a. -1 Suppose 30*l - 12 = 24*l. Solve 0 = l*n - 134 + 130 for n. 2 Let r(v) = -3*v**3 + 80*v**2 + 28*v - 23. Let n be r(27). Solve -2 + n = -2*l for l. -1 Suppose -2*y - 3*t + 9 = 2, 5*y - 52 = 4*t. Solve -5*l - 3 = -y*l for l. 1 Let c(z) be the third derivative of -z**5/60 - 10*z**2. Let t be c(0). Solve -5*y - 25 = -t*y for y. -5 Let r = -534 + 538. Solve -10*k + 42 = r*k for k. 3 Suppose -3*o - 2*o = 40. Let u(s) = -s**3 + s**2 + 5*s + 2. Let r be u(-2). Let v be 6/r*o/(-6). Solve 0 = i - v + 5 for i. -3 Let k be 3/(((-3)/(-1))/3). Suppose 3*m = -y - k*y - 11, 0 = -4*m + y + 17. Solve 3*u + m = -3 for u. -2 Suppose -515*b = -485*b - 330. Solve -6*m = -17*m + b for m. 1 Suppose 3*z - 2*u - 90 = 0, 4*z - 3*u - 118 - 2 = 0. Solve z*y - 22*y = -24 for y. -3 Suppose 7*t + 7 = 8*t. Suppose 0 = -7*m + t. Suppose -w - m = -5. Solve -h + 15 = w*h for h. 3 Let p be -1*(7 + -6)*-11. Solve -p*r - 18 = 7*r for r. -1 Let q(t) = t**3 + t**2 + t + 10. Let p be q(0). Suppose u - 6 = 4. Suppose -5*o + u = -p. Solve y + 20 = -o*y for y. -4 Suppose 5*w + 83 = w - 3*j, -72 = 3*w - j. Let f = -23 - w. Solve 0 = -4*d - f*d for d. 0 Suppose 23*n = 2*w + 24*n - 8, 0 = w + 4*n - 4. Solve -w*u = -8 - 4 for u. 3 Let w(c) = 4*c + 43. Let n be w(-11). Let d be (0 + 1)/((-3)/9*n). Let a(h) = 8*h - 1. Let k be a(1). Solve -d*x - 2 = k for x. -3 Suppose -o + 14 = -u, -4*o + 28 - 7 = 3*u. Solve -66 = o*v + 13*v for v. -3 Let r(u) = 16 - 4*u - 2 + 5*u. Let x be r(-8). Let q be 3/x - 36/(-8). Solve -4 = -j + q*j for j. -1 Suppose 2*q = k, 3*q = q - 2*k + 12. Suppose -5 = 3*o - 17. Solve -q*u = -o*u + 6 for u. 3 Let i = 20 - 17. Suppose i*w + 72 = -0*w. Let n be (-4)/w - (-23)/6. Solve -15 - 5 = -n*b for b. 5 Let p(f) be the second derivative of f**4/4 - 5*f**3/6 - f**2 + 11*f. Let r be p(-2). Solve 0*g + r = 5*g for g. 4 Let d(l) = 2*l**3 - 27*l**2 - 8*l - 84. Let z be d(14). Suppose 2 = -5*u + k - 0, 3*k = u + 6. Solve z = 3*h - u*h - 12 for h. 4 Let r be ((-338)/65)/((-4)/10). Suppose -17 - 4 = 2*c - 5*q, -4*c - q + r = 0. Solve 5*d + 3 = -c for d. -1 Let i(s) be the third derivative of -s**5/60 + s**4/24 + 3*s**3/2 - 70*s**2. Suppose f - 2 = 3*o - 5*o, 8 = -5*o + 4*f. Let q be i(o). Solve -q + 1 = 4*h for h. -2 Suppose 98 = 4*o - 2*p, 0 = -5*o + 4*p - 94 + 224. Solve -o = 6*m + 2 for m. -4 Let q be 8 - -10*2/(-4). Solve -q*c = 4*c - 35 for c. 5 Let q be ((-105)/(-6))/(2*(-2)/(-16)). Suppose h - 1 = -4*f + 18, -q = -5*h + 5*f. Solve h = -n + 4*n for n. 5 Suppose u = -2*h - 6, u - 5*u + 3*h = 13. Let i be (-3)/(u + 148/40). Suppose 0*q + 12 = 3*q. Solve -a + i = q*a for a. 2 Suppose -5*q + 15 = -75. Let g be 264/q + 2/(-3). Let c = g + -13. Solve 0*f = -f - c for f. -1 Suppose 2*v = v - 2*m + 6, 0 = 2*v + m. Let r(g) = -6*g - 5. Let a be r(v). Solve -a*p = -6*p for p. 0 Let i = -96 + 96. Suppose i*d + 13 = 2*j + 3*d, 12 = 3*j + 2*d. Solve 0*q = j*q for q. 0 Suppose -9*i - 226 = -307. Solve 19*z - i = 16*z for z. 3 Suppose 2*b = 2*w + 2, 0 = -35*w + 36*w - 4*b + 16. Suppose 3*i - 70 = i + 4*s, -2*i + 30 = 4*s. Solve n = -w*n + i for n. 5 Let n(z) = z**3 - 3*z**2 - 8*z - 10. Let x(q) = -q**3 + 6*q**2 - 2*q - 10. Let k be x(5). Let y be n(k). Solve y = -2*m + 13 - 5 for m. 4 Suppose 6*j = 29 - 5. Suppose -2*v + 48 = 4*b, 0 = -3*b + 5*v - 0*v + 10. Solve f + j*f = -b for f. -2 Suppose 200 = 77*i - 69*i. Solve -i*v = -21*v + 16 for v. -4 Let h = -39 + 31. Let m = h - -11. Solve -15 = -4*i - m for i. 3 Suppose 62 = 6*r - 5*k + 31, 0 = r + 5*k - 11. Let b be (-2 + 2)/(0 + -2). Let z = 30 + -16. Solve -5*p - r - z = b for p. -4 Let t = 224 + -221. Solve t*l = -5 + 17 for l. 4 Let t(s) be the second derivative of s**4/12 + 2*s**3/3 + s**2 - 6*s. Let x be t(-4). Solve -x*k - 4 = -3*k for k. 4 Suppose -3*m + 4 = -2*t, -m + 3*t = 3 - 2. Suppose -m*l - 2*l = 3*r - 5, 5*r = l - 7. Let k be l/(6*(-1
{ "pile_set_name": "DM Mathematics" }
w many minutes are there between 10:46 AM and 8:30 PM? 584 What is 660 minutes before 2:50 PM? 3:50 AM How many minutes are there between 1:33 PM and 8:59 PM? 446 What is 597 minutes after 9:00 PM? 6:57 AM What is 341 minutes before 11:59 AM? 6:18 AM What is 130 minutes before 12:36 AM? 10:26 PM What is 456 minutes after 8:24 AM? 4:00 PM What is 54 minutes after 4:11 AM? 5:05 AM How many minutes are there between 2:03 PM and 3:35 PM? 92 How many minutes are there between 4:48 AM and 12:12 PM? 444 What is 254 minutes after 5:00 PM? 9:14 PM What is 553 minutes before 4:53 AM? 7:40 PM What is 617 minutes after 1:57 PM? 12:14 AM How many minutes are there between 4:35 PM and 2:42 AM? 607 What is 572 minutes after 10:20 PM? 7:52 AM How many minutes are there between 3:49 AM and 5:50 AM? 121 What is 253 minutes before 7:21 PM? 3:08 PM What is 355 minutes before 4:06 AM? 10:11 PM How many minutes are there between 2:50 AM and 2:33 PM? 703 What is 404 minutes after 6:06 PM? 12:50 AM What is 410 minutes before 12:48 PM? 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197 H
{ "pile_set_name": "DM Mathematics" }
ve -2*h + 3*g = 5, f*h = 3*g + 3 + 2 for h. 5 Suppose 0 = z - 11 + 8. Let f = -19 + 35. Let n be f/7 - (-2)/(-7). Solve p - 1 = z*a, 3*p + 10 = -2*a - n*a for p. -2 Let t = -14 - -8. Let n(o) = o**2 + 5*o + 3. Let f be n(t). Solve -2*p - p = 3*z + f, 5*z + 7 = -3*p for p. -4 Suppose -3*q = 5*w - 7*q - 70, -2*w - 2*q + 10 = 0. Suppose -w = -l + 4. Solve -4*f + 3*c - 1 = -6, 5*c + l = f for f. -1 Let j be 2/(-10) - (-126)/30. Let b be 4/6 - (-21)/9. Solve -2*n = -j*a - 22, -2*n - 1 = -b for a. -5 Let d = 1 - -12. Solve 4*w + 5*l = 30, -2*w - 4*l = -w - d for w. 5 Suppose 2*h - 1 = -0*d + 3*d, -2*d - 6 = 0. Let m be h/(-8) + 1/2. Let f be (-6 + 4)/(m*-1). Solve f*p + 2*o - 9 = o, 3*p + 6 = 5*o for p. 3 Suppose -5*k + 2*k = -4*a - 3, 0 = 4*k + 2*a - 26. Solve 0 = k*g + 5*n - 5, -4 = 3*g - 6*n + 2*n for g. 0 Let w(f) = f - 1. Let h be w(2). Let r = -48 + 33. Let i be 2/3*(-3 - r). Solve -h = -m + v, 2*m - 3*v + 5 = i for m. 0 Let o(w) = 5*w**3 - 2*w + 2. Let d be o(1). Solve 14 - 5 = 4*g + d*n, -5 = -5*n for g. 1 Suppose -2*m - 4*m + 24 = 0. Solve t = -t - 3*v - 12, 4*v + 16 = m*t for t. 0 Let d(b) = -b**3 + 4*b**2 - 3*b + 1. Let f be d(3). Suppose -f + 2 = -i. Let o = i + 2. Solve -5*u + o = -3*w - 6, 0 = 2*w + 8 for u. -1 Suppose 0 - 10 = -2*d. Suppose d*l = 3*l. Solve 3*t - 9 = -4*i, 4*i = -t - l*t + 11 for i. 3 Suppose -18*m + m + 85 = 0. Solve -20 = 2*t + 3*j - 7, -j = m for t. 1 Let n = -18 + 21. Suppose -1 = -3*v + 2. Let b be (3 + -1)/v + 0. Solve 0 = b*q - 2*d, -4*q - n*d - 4 = 10 for q. -2 Let b(f) = -f**3 - 3*f**2 - f - 1. Let o be b(-3). Solve 2*u + 18 = 2*d + o*d, 0 = d - 2*u - 9 for d. 3 Let v be 4*(-3)/(-9)*9. Suppose 34 = 2*m - 5*y + 3, 3*y + v = -m. Solve 0 = -2*k - r + 2, 3*r = -m*k - 0*k for k. 2 Let l = 30 + -23. Let w(f) = f - 3. Let x be w(l). Solve 4*s - y = 1, -x*y - 4 = s - 0*s for s. 0 Let a be (-32)/56*(-14)/4. Solve -3*d + 3*b - 6*b + 24 = 0, -d - a*b + 11 = 0 for d. 5 Let r = 54 + -38. Suppose u + 2*i - 10 = 0, 37 = 2*u + 2*u + 5*i. Suppose -u = 2*b - 4*b. Solve 5*y - 2*s - s = 37, -r = b*s for y. 5 Let s be (87/(-9) + 3)*3. Let t = -17 - s. Solve -4*h - t = -u, -4*u = -6*u + 5*h + 3 for u. -1 Let c be -1*((-12)/2 - 2). Let m = c + -5. Solve o - 19 = -m*o - 5*g, -2*o - g + 5 = 0 for o. 1 Suppose 0 = -4*s - 2*a - 52, 2*a + 3*a + 75 = -5*s. Let p be (-2)/6*(s - -5). Solve 5*r - 9 = -p*z, -2*r + 5*z = -0*z + 8 for r. 1 Suppose 0*d - 2*d = -6. Solve -4*y = 5*a + 41, -3*y + y - 23 = d*a for y. -4 Let q(b) = -b**2 + 6*b - 10. Let u be q(4). Let s(k) = 0 + k - 1 + 2 + k**2. Let x be s(u). Solve -x*p - 5*j - 37 = 0, -5*p = 3*j + 37 - 2 for p. -4 Let o(n) = n**3 + 6*n**2 - 9*n - 4. Let u = 17 + -24. Let q be o(u). Let t = q - 0. Solve 4*x - 2*m = t - 0, 3*m + 7 = 2*x for x. 2 Let c = -128 + 128. Solve -2*x + 4*n = -13 + 1, -5*x + 2*n + 14 = c for x. 2 Let k be (-16)/40*(0 + -40). Solve m - 12 = 6*m - 3*a, -5*m - a = k for m. -3 Let d(x) = x + 4. Let j be d(-4). Suppose 2*b = 6*b - 28. Solve 0 = -5*s + 3*o + 18, j = -3*s + 3*o - b*o + 5 for s. 3 Let m(b) = 3*b + 26*b**2 + 20*b**2 - 3 - 45*b**2 + 1. Let p be m(-4). Solve -p*a + 4*v - 8 = 2*a, 8 = -4*a + v for a. -2 Suppose 5*v + 2*m - 17 = 6, 5*v = 4*m - 1. Let z be (v - (-21)/6)*2. Solve 2*t - z = 7*t - 2*x, -4*t + x - 8 = 0 for t. -1 Suppose 0*m - m + 4 = 0. Let r(z) = -z**3 + 3*z**2 + 5*z. Let f be r(m). Solve -2*c - 4 = 2*c + y, -f*y = 3*c + 16 for c. 0 Let f be 2/8 - 1/4. Suppose 5*c - 3*y - 42 = 0, -4*y + 40 = 5*c - c. Let n be c/6*8/6. Solve -2*s + 3*o - n = 4, -5*s + 5*o - 15 = f for s. -3 Suppose 12 = -4*d - 4*k, -3*d + 3*k - 7 = 4*k. Let n(q) = 2*q**2 + 3*q + 1. Let t be n(d). Solve -2*x + 5 = -2*i - 7, t*x - 9 = 0 for i. -3 Let i be (2 - 4)/((-4)/(-22)). Let x = -7 - i. Let p be 18/10 + (-2)/(-10). Solve -6*q + 2*q - 5*l - 10 = 0, p*l + x = -4*q for q. 0 Let o = 99 + -99. Solve -2*x - 8 = -k, o*k + 7 = 5*k + x for k. 2 Let y = -6 - -7. Let n be -2 - (-2 + (3 - y)). Let p be (-8)/(-6)*(1 - n). Solve 0 = c - u, -p + 1 = c - 4*u for c. 1 Suppose 3*c - 24 = -4*f, -3*c - 2*c - 5*f = -35. Solve -l = -3*w + 17, -10 = -c*w - 5*l - 0*l for w. 5 Let n be 2/(-7) - (-80)/35. Solve -5*u - 15 = -n*i, -3*i + 0 + 6 = -2*u for u. -3 Let h = -28 - -31. Solve 4*a - 3*o - 20 = 0, a - o = -h*o + 5 for a. 5 Suppose 5*k + s = -17 - 9, 4*s = 2*k + 6. Let u be (-2)/k*(5 - 0). Suppose -3*n + 100 = n. Solve -4*q - u = 3*m - 1, -5*m - n = -5*q for m. -3 Suppose 4*n + n = 10. Suppose -3*x - n*x + 20 = 0. Suppose a = -5, -2*k + 7*k = x*a + 45. Solve -11 = h - 3*m, k*m + 5 = -3*h - 0*m for h. -5 Let x = 77 - 60. Solve -7 - x = 4*i + 4*h, 3*i + 2*h = -16 for i. -4 Let a = 13 + -10. Solve a*b - 2*m - 2 = -b, 3*b + 6 = -m for b. -1 Let x be 3/(1/(3/(-3))). Let s be (-2)/6 + (-61)/x. Solve -n + 3*n + 8 = 2*j, 0 = 5*j - s for n. 0 Let t be 3*(-96)/(1 - 5). Let k be (t/(-2 - 2))/(-1). Solve o - 2*h = 2*h + k, 5*h + 25 = 0 for o. -2 Let z = -7 - -17. Suppose o = 4*m + 24 - 9, -o = 3*m - 1. Let p(i) = i**3 - 8*i**2 + 8*i - 2. Let g be p(o). Solve d = u - 2 + z, -3*d - g*u = 16 for d. 3 Let x(h) = h**2 - 2. Let i be x(2). Let v(z) = z**3 - 8*z**2 - 9*z + 3. Let t be v(9). Solve -t*j + i*o + 1 = 0, -2*o - 32 = 5*j - 7 for j. -3 Let g be ((-4)/3)/((-2)/3). Let r = -171 + 177. Solve -b - r = g*d - d, d = -2*b - 8 for d. -4 Let k(j) = j**2 + j + 5. Let n be k(0). Let z(f) = f**2 + 7*f - 4. Suppose 19 = 5*p + 59. Let w be z(p). Solve -i + w*s + 7 = 2, n*i - 5*s = -5 for i. -3 Let s be (40/35)/(-4) + 142/7. Solve -20 = 5*y - 3*w + s, -3*y = 3*w for y. -5 Suppose -5*a - 17 = -0*o + 2*o, 4*a = 3*o - 32. Solve -g - 10 = 4*g + 5*x, 3*g - 29 = o*x for g. 3 Let d(o) be the first derivative of o**2/2 + 7*o + 3. Let h be d(7). Solve -5*s = a + a + 20, h = -4*a + 3*s for a. -5 Let n(i) = i**2 + 4*i - 9. Let y be n(-7). Solve 7 - 1 = -4*c - 2*f, 3*c + 3*f = -y for c. 1 Suppose -2*t = 4*n + 30, -t - 2*t = 5*n + 40. Let u = -3 - n. Solve 4*k = -s + 5, 4*s - u*k = -k - 14 for s. -3 Suppose -4*y - 3*u = 15, 3*y - u + 2 - 7 = 0. Solve y = 5*i + 5, -i = -8*t + 3*t + 6 for t. 1 Let y = -21 - -18. Let f be (12 + -10)*y/(-2). Solve 4*o = f*q + 12, -2*q - 15 = q - 5*o for q. 0 Suppose 20 = m + 4*m. Suppose -12 = -3*t - 2*s, 0 = 2*t - m*t - s + 8. Let x be 14/t + (-6)/12. Solve 12 = x*y + 5*h, -y = 4*y - 2*h - 20 for y. 4 Let r be (-2)/(-7) - 1476/(-126). Solve 2*n - q = 6*n + 6, 0 = -2*n + 4*q - r for n. -2 Let u(s) = 14*s**2. Let g be u(2). Let q = -37 + g. Let j(z) = -z + 23. Let b be j(21). Solve -h = b*h + 2*i - q, -2*i = -5*h + 5 for h. 3 Let y be 18/5 - (-14)/35. Solve -i - y*l = -3 - 5, 2*l = -2*i + 4 for i. 0 Let q = 3 - 3. Solve q = 4*y - 4*a + 28, 0 = 5*y - 0*a - 3*a + 27 for y. -3 Let n = -20 - -24. Solve -n*d = 3*v - 2 - 1, -4*v = -5*d + 27 for v. -3 Let j(z) = -5*z. Let f be j(-5). Suppose -3*v = -3*q + 18, 0*v + 15 = 4*q - v. Solve -q*a + f = 5*s + 2*a, s = -4*a + 17 for s. 1 Let l(z) = 24*z + 1. Let f be 3/9*(2 - 5). Let w be l(f). Let q = 32 + w. Solve 5*m - 10 = t + 2*m, 3*t + 4*m = q for t. -1 Let j(k) = -k + 16. Let l be j(12). Solve -q - 2 = -4*s, -l*q - 2*s + 7 = -3 for q. 2 Suppose 4*f + 10 = 6*f. Let c(p) = -p**2 + 7*p - 6. Let i be c(4). Let r(n) = -n + 6. Let s be r(3). Solve -s*d + d = -3*m + i, -5*d + f*m = 10 for d. 0 Suppose -q - 5*u + 24 = 0, 0 = 4*q + 2*u + 4 - 28. Solve 2*s + 29 = -5*o, 3*s + q*o + 11 = 3*o for s. -2 Let j = 6 + -9. Let i be (2 + (-8 - j))*-1. Solve b = -x - i, 5*b - 1 = -3*x - 8 for x. -4 Let i(f) = -f**2 - 4*f - 3. Suppose -2*t + 4 = -h, 6 - 5 = t. Let d be i(h). Solve -3*p = -2*r - 0 + 3, -p + r - d = 0 for p. -1 Suppose 6*y = 3*y + 12. Suppose -3*p = -y*p + 2. Solve 3*r = 8*r + 3*t + 5, p*t = -10 for r. 2 Let y(d) be the first derivative of d**2/2 + d - 5. Let u be y(-1). Solve -11 = 3*s - u*r + 2*r, -r - 7 = 2*s for s. -3 Suppose -3*l = 1 - 4. Suppose -2*d + 13 = 3*a, 0 = d - 2*a - l - 2. Solve w - 3*p + 7 = p, 5*w = d*p + 10 for w. 5 Let k = 3 + -3. Let l be (-25)/(1/(-1)) + k. Suppose -j = 4*q - l, 5*q - j = 2 + 18. Solve -11 = 2*v + w, -1 = q*v + 3*w + 29 for v. -3 Let f = 28 - 23. Solve 0*p + p - 1 = o, 0 = -5*o - f for p. 0 Suppose z + 1 = -3*q, -z - q = -2*z + 3. Solve -t = z*x + 1, 0 = -2*x + x + 2 for t. -5 Suppose -10 = -5*n - 0*n. Let s be (5/3 - n)*-24. Suppose -s =
{ "pile_set_name": "DM Mathematics" }
of 1072*s**3*z**2 - 522669*s**3 + 34*s**2*z**3 wrt z. 2144*s**3*z + 102*s**2*z**2 Find the third derivative of -4*o**6 - 2989*o**5 - o**3 + 8*o**2 - 6421 wrt o. -480*o**3 - 179340*o**2 - 6 Differentiate -55481*j*l**3 - 4*j*x + 618930*l**3*x with respect to j. -55481*l**3 - 4*x Find the first derivative of -3194*m**3 - 3*m**2 + 53365 wrt m. -9582*m**2 - 6*m What is the derivative of -8227*w**2*y**3 - 63*w**2*y**2 - 472367*w**2 wrt y? -24681*w**2*y**2 - 126*w**2*y What is the second derivative of 13*c**2*w**2 + c**2*w + 107163*c*w**2 + 2*c*w - 188*c + 22*w - 3 wrt w? 26*c**2 + 214326*c What is the derivative of 59733*d**2 - 1020760? 119466*d What is the second derivative of -1015094*p**2 + 25*p - 12685? -2030188 What is the second derivative of -65621*d*u**4 - 935*d*u - 44*d wrt u? -787452*d*u**2 Find the second derivative of -1237*o**3*s**3 + 4*o**3*s**2 + 2*o**3 + 5762*o**2*s - 3*s**3 wrt s. -7422*o**3*s + 8*o**3 - 18*s Find the first derivative of 7*u**3 - 6*u**2 + 24042*u - 152505. 21*u**2 - 12*u + 24042 What is the second derivative of -5*b**2*f**3*p**2 - b**2*f + 302*b*f**3*p + 8*b*f**3 - b*p + 2619*f*p**2 wrt p? -10*b**2*f**3 + 5238*f Differentiate -2*n*w**3 - 14*n*w**2 - 389*n - 174471*w**3 + w wrt n. -2*w**3 - 14*w**2 - 389 What is the second derivative of r**2*s**2 - 64*r**2*s + 2*r**2 + 16*r*s**3 - 3*r - 75*s**5 + 4*s - 4 wrt s? 2*r**2 + 96*r*s - 1500*s**3 Find the second derivative of 856928*m**2 - 4*m + 458. 1713856 Find the third derivative of -25*b**5 + 5*b**4 + 79*b**3 - 346791*b**2 wrt b. -1500*b**2 + 120*b + 474 Find the third derivative of 173045*b**3*i - 2*b**2*i + 9*b*i + 20335*i - 1 wrt b. 1038270*i What is the third derivative of -813637*l**3 + 26598*l**2? -4881822 Find the third derivative of -31793*f*z**3 - 200633*f*z**2 wrt z. -190758*f Differentiate 19672*q*z**3 + q*z - 3*q + 145816*z**3 wrt q. 19672*z**3 + z - 3 Find the second derivative of 68*g**3 + 487*g**2 - 16773*g + 6. 408*g + 974 Find the second derivative of -495*i*k*s**3 - 12*i*k*s - 6*i*s - i - 2*k*s**3 + 4*k*s**2 + 11*k*s - 2*s wrt s. -2970*i*k*s - 12*k*s + 8*k What is the third derivative of 7*u**4 - 4371*u**3 + 5567*u**2 - 2 wrt u? 168*u - 26226 Find the second derivative of 32*c*r**3 - 4*c*r - 32*c + 1979*r**3 - 9*r - 9 wrt r. 192*c*r + 11874*r What is the second derivative of -367809*z**2 + 96*z + 598 wrt z? -735618 What is the first derivative of z**4 - 4*z**2 - 408*z - 12530 wrt z? 4*z**3 - 8*z - 408 Find the second derivative of 1922406*j**2*s**3*t**2 + 2*j**2*s*t**2 - 10*j*s**3*t + 9921*j*s**3 + 4*j*s**2*t**2 wrt j. 3844812*s**3*t**2 + 4*s*t**2 Find the second derivative of 4*i**3*n**2*w - 103*i**3*n*w - 7*i**3*n + 63*i**3*w + 36346*i*n**2*w wrt n. 8*i**3*w + 72692*i*w Find the third derivative of 272857*h**3 - 1356450*h**2 wrt h. 1637142 Find the second derivative of -z**5 - 7865*z**4 - 3*z**2 - 613*z - 244. -20*z**3 - 94380*z**2 - 6 Find the second derivative of -54*u**5 - 42*u**3 - 92963*u. -1080*u**3 - 252*u Find the third derivative of -191*d**5 - 182*d**4 - 2*d**3 - 6*d**2 + 29199 wrt d. -11460*d**2 - 4368*d - 12 What is the second derivative of -20*b**4 + 3*b**3 - 13*b**2 - 806*b + 219? -240*b**2 + 18*b - 26 What is the third derivative of -v**3*z**3 - 2*v**3 + 12*v**2 + 18*v*z**2 + 251132*z**4 + z - 2 wrt z? -6*v**3 + 6027168*z Find the first derivative of -5252882*g*n**2 - 4*n**2 + 4482*n - 4 wrt g. -5252882*n**2 Differentiate 2*b*c*h**2 + 140*b*c + 23560*b - c*h**2 + 33*c - 4*h**2 wrt c. 2*b*h**2 + 140*b - h**2 + 33 What is the derivative of -1216*p**3 + 1020*p + 3703060? -3648*p**2 + 1020 What is the first derivative of 5*g*i*m**2 - 1101608*g*m**3 - 49170*i*m**3 wrt i? 5*g*m**2 - 49170*m**3 Find the third derivative of -174*q**6 - 4*q**3*u**2 - q**2*u**2 + 2*q**2 - 6004*q wrt q. -20880*q**3 - 24*u**2 Find the second derivative of -26024*k**2 + 25937*k wrt k. -52048 What is the second derivative of 7*r**4 - 1823*r**3 + 383948*r wrt r? 84*r**2 - 10938*r What is the second derivative of 137040*g**3 - 264241*g wrt g? 822240*g Find the first derivative of -1207*r**3 + 46*r - 208558. -3621*r**2 + 46 Find the second derivative of -6*i**3 + 1859*i**2 - 104*i - 2297. -36*i + 3718 What is the second derivative of h**2*l*x**3 - 4*h**2*l - 53*h*l*x - 7*l*x - 162*x**3 - 10*x**2 - 2*x wrt x? 6*h**2*l*x - 972*x - 20 What is the third derivative of -57313*g**3*y**3 - g**3*y + g**2*y**2 - 19*g**2*y - g*y wrt y? -343878*g**3 Find the third derivative of 12932*z**4 + z**3 + 662*z**2 - 79 wrt z. 310368*z + 6 What is the third derivative of 4*p**5 - 11487*p**4 - p**3 + 8*p**2 - 339*p - 1? 240*p**2 - 275688*p - 6 What is the derivative of 115004*s**3 + 2739 wrt s? 345012*s**2 What is the third derivative of 17*b**4*k*q - 14*b**4*k + 89*b**3*q + 418*b**2 + 2*b*k + 20*b*q wrt b? 408*b*k*q - 336*b*k + 534*q What is the second derivative of -100*a**4 - 398*a**3 - 922201*a? -1200*a**2 - 2388*a What is the derivative of 52278*i**2 - 9*i - 173239 wrt i? 104556*i - 9 Differentiate 2*s**4 - 1261*s**3 + 8*s + 8766. 8*s**3 - 3783*s**2 + 8 What is the second derivative of 2*f**4 - 48*f**3 + 43*f**2 - f - 141795? 24*f**2 - 288*f + 86 Find the third derivative of -13487*z**6 + 27553*z**2 wrt z. -1618440*z**3 What is the third derivative of 7*c**3*f*j**2*m + 46*c**3*f*j + 398*c**3*f - 1134*c**2*f*j + 11*c*f*j**2*m + 47*c*f*j*m wrt c? 42*f*j**2*m + 276*f*j + 2388*f What is the second derivative of -42245*f**5*j**3 - 24*f**5*j - 1803*f*j**3 - 498*f*j**2 wrt f? -844900*f**3*j**3 - 480*f**3*j What is the second derivative of -93787*i**3 - 41*i + 284 wrt i? -562722*i What is the second derivative of -d**2*r**2 - 2*d**2*r - 133379*d**2 + 14367*d*r**2 - 5*d*r wrt d? -2*r**2 - 4*r - 266758 What is the first derivative of -213962*i*z**3 - 155943*i - 2*z**4 wrt z? -641886*i*z**2 - 8*z**3 Find the second derivative of -23*j*z**3 - 26*j*z - 12*j + 2*z**3 + 454*z**2 + z - 1 wrt z. -138*j*z + 12*z + 908 Find the second derivative of 76565*m*n**4 + 14*m*n - 3*m + 21*n wrt n. 918780*m*n**2 Differentiate -2*o**2*p + 2*o**2 - 979*o*p + 10*o - 59754*p wrt o. -4*o*p + 4*o - 979*p + 10 Differentiate -4*n**2*o**2*w**2 - 370628*n**2*w**2 - 64838*o**2 + 23*w**2 wrt n. -8*n*o**2*w**2 - 741256*n*w**2 What is the derivative of 200*t**3 + 160*t**2 + 48910 wrt t? 600*t**2 + 320*t What is the second derivative of b**2*o**3 - 2*b**2*o**2 - b**2 - 20*o**4 - 1035*o wrt o? 6*b**2*o - 4*b**2 - 240*o**2 What is the third derivative of 17*c**4*x**2 + c**4 - 175*c**3 - 30*c**2*x + 122*c*x**2 wrt c? 408*c*x**2 + 24*c - 1050 What is the derivative of -163586*o**2 - 134248? -327172*o What is the second derivative of 65269*t**3 - 48376*t wrt t? 391614*t What is the second derivative of 49119*w**2 + 3*w - 9558? 98238 Find the third derivative of 10*g**5*x**2 + 7083*g**3*x - 15*g**2 - 81*g*x**2 - 267*x wrt g. 600*g**2*x**2 + 42498*x Find the second derivative of 23007*b*w**2 - 2*b - 6749*w + 2 wrt w. 46014*b Differentiate 158*j**4 - 4809*j**3*p**2 + 4*p**2 - 17229*p - 11 wrt j. 632*j**3 - 14427*j**2*p**2 What is the first derivative of -2123015*j**2 - 463860? -4246030*j What is the second derivative of -510266*a**2 - 678023*a? -1020532 What is the second derivative of -2503802*i**2 - 2456617*i? -5007604 What is the second derivative of 246*t**2 - 82*t - 56? 492 Find the second derivative of 187*c**5 + 2*c**4 - 67*c**2 - 63953*c wrt c. 3740*c**3 + 24*c**2 - 134 Find the first derivative of 160*a**4 + 65*a**3 - 357883. 640*a**3 + 195*a**2 Differentiate 193758*d*i**2 + i**2 - 21*i - 1709 wrt d. 193758*i**2 What is the first derivative of 4*x**2 + 16835*x - 26941 wrt x? 8*x + 16835 What is the derivative of 2*r**3 + 5725*r**2 + 9413 wrt r? 6*r**2 + 11450*r Differentiate -819609*o**3*w**2 + 3*o**3 + 149535*o wrt w. -1639218*o**3*w What is the first derivative of -a**4 - 6*a**3 - a**2 - 6219*a + 4074880? -4*a**3 - 18*a**2 - 2*a - 6219 Find the second derivative of 4*d**2*r**2 + 2*d**2 + 27717*d*r**2 - 398*d*r + 156*d wrt r. 8*d**2 + 55434*d Find the third derivative of 5995*o**3*u + o**3 + 113*o**2*u - 5*o**2 + 4*o*u - 31*o wrt o. 35970*u + 6 What is the first derivative of 41*b**2 - 12*b - 15084 wrt b? 82*b - 12 What is the derivative of -4*p**2 + 978*p*y - 5*y - 48 wrt p? -8*p + 978*y Find the second derivative of -1
{ "pile_set_name": "DM Mathematics" }
etween 9:54 AM and 7:35 PM? 581 How many minutes are there between 3:53 AM and 6:59 AM? 186 What is 6 minutes after 5:31 AM? 5:37 AM What is 104 minutes after 9:27 AM? 11:11 AM What is 595 minutes after 12:49 AM? 10:44 AM What is 176 minutes after 9:13 AM? 12:09 PM What is 325 minutes before 10:15 AM? 4:50 AM How many minutes are there between 2:16 PM and 3:38 PM? 82 How many minutes are there between 8:53 AM and 8:55 AM? 2 What is 69 minutes before 1:09 PM? 12:00 PM What is 491 minutes after 11:13 AM? 7:24 PM What is 445 minutes before 5:49 AM? 10:24 PM What is 253 minutes after 5:30 PM? 9:43 PM How many minutes are there between 12:33 PM and 10:38 PM? 605 How many minutes are there between 8:03 AM and 5:23 PM? 560 How many minutes are there between 3:23 AM and 8:02 AM? 279 How many minutes are there between 8:28 PM and 9:28 PM? 60 How many minutes are there between 9:00 PM and 1:20 AM? 260 What is 77 minutes before 10:50 PM? 9:33 PM What is 505 minutes after 5:50 AM? 2:15 PM How many minutes are there between 9:44 PM and 9:02 AM? 678 How many minutes are there between 10:44 PM and 11:09 PM? 25 What is 211 minutes before 11:08 AM? 7:37 AM What is 52 minutes after 5:15 PM? 6:07 PM What is 543 minutes after 12:55 PM? 9:58 PM What is 14 minutes after 4:10 PM? 4:24 PM What is 341 minutes before 5:30 PM? 11:49 AM What is 559 minutes after 8:42 AM? 6:01 PM What is 328 minutes before 3:36 PM? 10:08 AM What is 166 minutes after 8:28 PM? 11:14 PM How many minutes are there between 10:47 PM and 7:42 AM? 535 What is 313 minutes before 9:13 AM? 4:00 AM How many minutes are there between 11:12 PM and 3:37 AM? 265 How many minutes are there between 11:21 AM and 9:46 PM? 625 How many minutes are there between 3:03 PM and 4:10 PM? 67 What is 719 minutes after 8:25 AM? 8:24 PM What is 54 minutes after 3:26 AM? 4:20 AM How many minutes are there between 10:55 AM and 11:01 AM? 6 What is 110 minutes after 3:13 AM? 5:03 AM What is 387 minutes before 11:24 PM? 4:57 PM How many minutes are there between 10:05 AM and 8:10 PM? 605 What is 98 minutes after 9:55 AM? 11:33 AM How many minutes are there between 8:32 PM and 7:13 AM? 641 How many minutes are there between 12:01 AM and 8:45 AM? 524 How many minutes are there between 4:48 AM and 1:09 PM? 501 How many minutes are there between 11:48 AM and 2:24 PM? 156 What is 492 minutes before 7:56 AM? 11:44 PM How many minutes are there between 7:17 PM and 5:47 AM? 630 What is 48 minutes before 5:49 PM? 5:01 PM How many minutes are there between 12:33 AM and 5:07 AM? 274 How many minutes are there between 12:25 PM and 1:17 PM? 52 How many minutes are there between 4:12 PM and 5:29 PM? 77 How many minutes are there between 3:59 AM and 5:06 AM? 67 How many minutes are there between 12:09 AM and 7:57 AM? 468 How many minutes are there between 3:50 PM and 2:45 AM? 655 What is 560 minutes before 7:09 AM? 9:49 PM What is 420 minutes after 11:45 PM? 6:45 AM How many minutes are there between 1:34 AM and 3:02 AM? 88 What is 532 minutes before 8:13 AM? 11:21 PM What is 60 minutes after 11:59 AM? 12:59 PM How many minutes are there between 4:50 PM and 12:43 AM? 473 How many minutes are there between 12:21 PM and 12:57 PM? 36 How many minutes are there between 1:55 AM and 4:42 AM? 167 What is 313 minutes after 2:17 PM? 7:30 PM What is 172 minutes after 9:37 AM? 12:29 PM What is 166 minutes after 12:26 AM? 3:12 AM How many minutes are there between 9:39 AM and 6:42 PM? 543 What is 246 minutes after 8:23 AM? 12:29 PM What is 195 minutes before 4:07 PM? 12:52 PM What is 588 minutes before 10:58 PM? 1:10 PM What is 399 minutes after 8:10 AM? 2:49 PM How many minutes are there between 12:18 AM and 2:08 AM? 110 How many minutes are there between 4:45 AM and 2:28 PM? 583 How many minutes are there between 6:27 AM and 10:51 AM? 264 How many minutes are there between 4:55 PM and 10:20 PM? 325 What is 419 minutes after 12:50 AM? 7:49 AM How many minutes are there between 9:58 PM and 12:10 AM? 132 What is 110 minutes after 7:36 PM? 9:26 PM How many minutes are there between 9:41 AM and 5:23 PM? 462 How many minutes are there between 6:51 AM and 6:46 PM? 715 What is 644 minutes before 3:47 AM? 5:03 PM What is 203 minutes after 7:40 PM? 11:03 PM How many minutes are there between 8:42 AM and 9:41 AM? 59 How many minutes are there between 7:19 AM and 9:38 AM? 139 What is 401 minutes before 11:09 AM? 4:28 AM What is 473 minutes before 7:58 AM? 12:05 AM What is 456 minutes before 3:24 PM? 7:48 AM What is 589 minutes after 6:42 PM? 4:31 AM What is 33 minutes before 4:40 AM? 4:07 AM What is 98 minutes after 5:00 AM? 6:38 AM What is 501 minutes before 11:57 PM? 3:36 PM What is 576 minutes before 12:15 PM? 2:39 AM What is 420 minutes before 9:50 AM? 2:50 AM What is 680 minutes before 1:18 AM? 1:58 PM How many minutes are there between 1:25 PM and 8:26 PM? 421 How many minutes are there between 8:06 PM and 10:13 PM? 127 How many minutes are there between 8:12 AM and 2:51 PM? 399 What is 559 minutes before 4:33 PM? 7:14 AM What is 277 minutes after 7:24 PM? 12:01 AM What is 660 minutes after 12:18 PM? 11:18 PM How many minutes are there between 4:54 PM and 2:50 AM? 596 How many minutes are there between 5:16 PM and 5:56 PM? 40 How many minutes are there between 3:55 PM and 2:12 AM? 617 How many minutes are there between 3:10 AM and 1:35 PM? 625 What is 587 minutes after 9:51 PM? 7:38 AM What is 250 minutes before 2:04 PM? 9:54 AM How many minutes are there between 9:23 PM and 9:13 AM? 710 What is 685 minutes before 8:20 PM? 8:55 AM What is 145 minutes after 9:49 AM? 12:14 PM How many minutes are there between 6:58 PM and 4:43 AM? 585 What is 159 minutes before 7:49 PM? 5:10 PM What is 166 minutes after 8:35 AM? 11:21 AM How many minutes are there between 7:33 PM and 12:38 AM? 305 How many minutes are there between 7:12 AM and 12:25 PM? 313 How many minutes are there between 4:38 PM and 9:02 PM? 264 What is 266 minutes before 4:54 PM? 12:28 PM How many minutes are there between 9:33 AM and 8:40 PM? 667 What is 709 minutes after 9:46 PM? 9:35 AM What is 342 minutes after 10:38 AM? 4:20 PM How many minutes are there between 10:24 PM and 5:36 AM? 432 How many minutes are there between 9:24 PM and 8:16 AM? 652 What is 623 minutes before 1:42 PM? 3:19 AM What is 564 minutes after 3:36 AM? 1:00 PM How many minutes are there between 1:06 AM and 8:02 AM? 416 How many minutes are there between 1:42 PM and 9:24 PM? 462 What is 371 minutes after 12:38 PM? 6:49 PM How many minutes are there between 11:24 PM and 9:05 AM? 581 What is 705 minutes after 9:54 PM? 9:39 AM What is 170 minutes before 12:28 PM? 9:38 AM How many minutes are there between 12:49 PM and 8:15 PM? 446 How many minutes are there between 8:05 AM and 6:33 PM? 628 How many minutes are there between 6:43 AM and 10:10 AM? 207 How many minutes are there between 4:42 PM and 3:28 AM? 646 What is 328 minutes after 7:23 PM? 12:51 AM What is 321 minutes after 9:35 PM? 2:56 AM What is 416 minutes after 6:14 AM? 1:10 PM What is 388 minutes after 9:51 PM? 4:19 AM How many minutes are there between 10:15 AM and 7:27 PM? 552 What is 374 minutes before 5:01 PM? 10:47 AM What is 317 minutes before 2:05 AM? 8:48 PM What is 123 minutes before 5:37 PM? 3:34 PM How many minutes are there between 1:24 PM and 5:07 PM? 223 How many minutes are there between 9:12 AM and 2:14 PM? 302 What is 605 minutes before 5:40 AM? 7:35 PM What is 309 minutes after 11:06 AM? 4:15 PM What is 703 minutes before 12:24 PM? 12:41 AM What is 485 minutes before 7:35 AM? 11:30 PM How many minutes are there between 1:53 AM and 2:31 AM? 38 What is 315 minutes before 8:16 AM? 3:01 AM How many minutes are there between 10:48 AM and 3:22 PM? 274 What is 576 minutes before 4:56 AM? 7:20 PM How many minutes are there between 3:08 AM and 6:19 AM? 191 How many minutes are there between 10:14 PM and 5:48 AM? 454 What is 528 minutes after 8:20 PM? 5:08 AM How many minutes are there between 1:01 AM and 12:30 PM? 689 What is 145 minutes after 6:45 PM? 9:10 PM What is 466 minutes before 6:50 PM? 11:04 AM How many minutes are there between 10:10 AM and 8:27 PM? 617 How many minutes are there between 12:10 PM and 9:42 PM? 572 What is 439 minutes before 2:00
{ "pile_set_name": "DM Mathematics" }
95*g Collect the terms in -k**3 - 772482*k - k**2 - 2 + k**2 + 775911*k. -k**3 + 3429*k - 2 Collect the terms in -2596*r**2 - 2622*r**2 + 7763*r**2 - 2534*r**2. 11*r**2 Collect the terms in -26*v**2 + 72*v**2 - 46*v**2 + 2229*v - 823*v + 3*v**3. 3*v**3 + 1406*v Collect the terms in -28*f**3 - 10*f**3 + 69*f**3 - 10*f**3 - 34*f**3 - 8*f. -13*f**3 - 8*f Collect the terms in 26174 + 10*h**2 - 23*h**2 + 7*h**2 + 4*h + 9*h**2. 3*h**2 + 4*h + 26174 Collect the terms in -3126 + 0*f - 14*f**3 + 6398 + 0*f - 3272 - 23*f**3. -37*f**3 Collect the terms in -107391*m**3 + 21855*m**3 - 86063*m**3 + 26023*m**3. -145576*m**3 Collect the terms in -148*l**2 - 238*l**2 + 852*l**2 - 234*l**2 - 230*l**2. 2*l**2 Collect the terms in 5*g - 2668*g**2 - 4 - 5*g + 1 + 5526*g**2 - 2677*g**2. 181*g**2 - 3 Collect the terms in 1379*k - 461*k - 455*k - 18*k**2 - 40*k**2 - 463*k. -58*k**2 Collect the terms in -152614*w**2 - 152610*w**2 - 17*w**3 - 152609*w**2 + 457833*w**2 - 24*w**3. -41*w**3 Collect the terms in -227*g - 67072022 + 67072022. -227*g Collect the terms in -53*h**3 - 1390 - 246*h**3 + 1390 - 1196*h**3. -1495*h**3 Collect the terms in -930 - 3179*t**2 - 938 + 2806 - 938 + 185*t**2. -2994*t**2 Collect the terms in 214*w**2 - 898*w**2 + 693*w**2. 9*w**2 Collect the terms in -8*d - 369 - 180*d + 190*d. 2*d - 369 Collect the terms in 39*v + 6*v - 17*v - 37*v + 20. -9*v + 20 Collect the terms in 181 + 410 - 124*s - 2*s**2 + 19 - 67*s. -2*s**2 - 191*s + 610 Collect the terms in -45*r - 10*r**3 + 37*r - 47*r + 134*r - 79*r. -10*r**3 Collect the terms in -70*q + 145*q + 258*q + 181*q - 7*q**3 + 2*q**3. -5*q**3 + 514*q Collect the terms in -63*n**3 - 42 + 178*n**2 + 197*n**2 + 42 - 375*n**2. -63*n**3 Collect the terms in 2*k**3 + 0*k**3 + 1175530100*k**2 - 1175530042*k**2. 2*k**3 + 58*k**2 Collect the terms in 42775 - 85575 + 42805 - 678*h**3. -678*h**3 + 5 Collect the terms in 178*c**2 - 2948*c - 2939*c - 2945*c + 8832*c. 178*c**2 Collect the terms in -1990*c - 1388*c - 139*c - 429*c - 385*c. -4331*c Collect the terms in -106*i**3 + 3939472497*i - 3939472497*i. -106*i**3 Collect the terms in 4 + 0 - 2156*f**2 + 4306*f**2 - 2106*f**2 - 5 + 6. 44*f**2 + 5 Collect the terms in -a - 1236 + 402 + 485 + 349. -a Collect the terms in 223*i + 1 + 2*i**2 + 2*i**3 - 2*i**2 + 141*i - 422*i. 2*i**3 - 58*i + 1 Collect the terms in 195618*k**2 - 3 + 5 + 2785*k**2. 198403*k**2 + 2 Collect the terms in 45759*o + 6560*o + 11129*o. 63448*o Collect the terms in 1662410*p + 1317520*p + 418322*p - 940760*p. 2457492*p Collect the terms in -3 + 1290*m - 2358*m + 3 + 1333*m. 265*m Collect the terms in 9 - 3201388*p**2 + 7 + 3201433*p**2 - 16. 45*p**2 Collect the terms in 3051*d**3 + 4082*d**3 - 6370*d**3. 763*d**3 Collect the terms in 58 - 113 + 57 - 337949*j. -337949*j + 2 Collect the terms in 16*j**2 + 113*j**2 - 49*j**2 + 41*j**2. 121*j**2 Collect the terms in 49 + 34 + 49 + d**2 - 192 + 35 + 60. d**2 + 35 Collect the terms in 2183597*s - 2183597*s + 12679*s**2. 12679*s**2 Collect the terms in 20*o**2 + 86*o**3 - 19*o**2 + 20*o - 5*o**2. 86*o**3 - 4*o**2 + 20*o Collect the terms in 10868*v**2 - 5187 - 113*v + 116*v + 5187. 10868*v**2 + 3*v Collect the terms in -7*y**3 + 30995*y - 15738*y - 15258*y. -7*y**3 - y Collect the terms in -5*k + 0*k + 41*k**3 + 1566*k**3 - 4*k - 1605*k**3 + 14*k - 5*k. 2*k**3 Collect the terms in 2*j**3 - 67822873 + 67822873. 2*j**3 Collect the terms in 798*z**2 + 1080*z**2 + 869*z**2 + 0 + 0. 2747*z**2 Collect the terms in 59617*l**3 - 14892*l**3 - 14889*l**3 - 14939*l**3 - 14895*l**3. 2*l**3 Collect the terms in 24 - 21 + 62530*j - 62681*j - 2. -151*j + 1 Collect the terms in 33 + 194064010*s**2 - 16 - 194064028*s**2 - 17. -18*s**2 Collect the terms in 0*l**2 + 1878*l - 5714*l + 3836*l + l**2. l**2 Collect the terms in -54*k + 334 + 735 - 163 + 370. -54*k + 1276 Collect the terms in 2644*m + 904*m + 1916*m - 1217*m. 4247*m Collect the terms in -9*r - 884572106724 + 884572106724. -9*r Collect the terms in -15293331*t**3 + t**2 + 15293354*t**3 - t**2. 23*t**3 Collect the terms in 16780*j**2 + 39639*j**2 + 48420*j**2 + 22157*j**2. 126996*j**2 Collect the terms in -32577*o - 1325*o - 510*o - 116864*o. -151276*o Collect the terms in 13 - 36 + 11*w**3 + 3*w**3 + 102*w - 169*w + 67*w. 14*w**3 - 23 Collect the terms in -200978*n + 110093*n - 32408*n - 143994*n. -267287*n Collect the terms in -1987 - 12*h + 1937 + 72*h + 72*h. 132*h - 50 Collect the terms in 3507*q**2 + q**3 - 7070*q**2 - 3*q**3 + 3563*q**2 + q**3. -q**3 Collect the terms in 104*b**2 - 135*b**2 + 6*b**2. -25*b**2 Collect the terms in -30447*t**2 + 5417*t**2 - 6416*t**2. -31446*t**2 Collect the terms in 138674*q**2 - 56941*q**2 + 118925*q**2. 200658*q**2 Collect the terms in -341*t + 7251*t**2 + 18517*t**2 + 345*t. 25768*t**2 + 4*t Collect the terms in 3685*f - 917*f - 7*f**2 - 918*f - 925*f - 925*f. -7*f**2 Collect the terms in 3 - 1039*u**2 + 2*u + 1415*u**2 + 1661*u**2 + 979*u**2. 3016*u**2 + 2*u + 3 Collect the terms in 115 + 108 + 110 - 299 - 13*r**2 + 19*r**2 + 10*r**2. 16*r**2 + 34 Collect the terms in -62538*z - 62524*z + 187688*z - 62564*z. 62*z Collect the terms in -35*v**2 - 34*v - 28*v**2 - 31*v**2 - 63*v + 82*v**2. -12*v**2 - 97*v Collect the terms in 1845*v**3 + 1800*v**3 + 1452*v**3 - 4576*v**3. 521*v**3 Collect the terms in 40*c + 393 - 493 + 3550 + 2048 - 38*c. 2*c + 5498 Collect the terms in -8*b - 9*b + 37*b - 2 - 8*b - 2 + 3*b. 15*b - 4 Collect the terms in -264*s - 122*s - 4*s**2 + 426*s - 30*s. -4*s**2 + 10*s Collect the terms in 2344*o**3 - 206213425*o**2 + 206213425*o**2. 2344*o**3 Collect the terms in -197*t - 184*t + 805*t - 433*t. -9*t Collect the terms in -222 + 135 + 87 + 570*u. 570*u Collect the terms in -8273*f + 2074*f + 2030*f + 2073*f + 2022*f. -74*f Collect the terms in 182*k**3 - 19*k**3 + 6*k - 4*k + 96*k**3 - 2*k. 259*k**3 Collect the terms in 7772*s**2 - 11477*s**2 + 6322*s**2. 2617*s**2 Collect the terms in 80 - 1623 + 75 - 176*d + 181*d - 244. 5*d - 1712 Collect the terms in 12 - 247675182*g**2 - 9*g**3 + 247675182*g**2. -9*g**3 + 12 Collect the terms in 1451*z - 4321*z - 4 + 1471*z + 1434*z - 4. 35*z - 8 Collect the terms in 30*t**3 - 36*t**2 - 3*t + 29*t**3 - 7*t**3 + t. 52*t**3 - 36*t**2 - 2*t Collect the terms in 1 + 38241924*u**2 + 31*u**3 - 38241924*u**2. 31*u**3 + 1 Collect the terms in -441490*y**3 - 421043*y**3 + 156304*y**3 - 723719*y**3. -1429948*y**3 Collect the terms in -980434*b**2 + 1960901*b**2 - 980437*b**2. 30*b**2 Collect the terms in -53594 + 870*s**2 + 26756 + 26838. 870*s**2 Collect the terms in -3*k**2 - 3636*k + 1371*k + 1671*k + 2*k**2. -k**2 - 594*k Collect the terms in 230134*f + 145 - 145. 230134*f Collect the terms in 9969*m - 1916*m - 2011*m - 2015*m - 2010*m - 2012*m. 5*m Collect the terms in 12130 + 12124 + 4*v**2 - 15*v**2 - 24254. -11*v**2 Collect the terms in -39439 - 38012 + 77456 + 96*i. 96*i + 5 Collect the terms in 2 + 2 - 5 - 1874*x - 2879*x. -4753*x - 1 Collect the terms in 121*p**3 + 1672639049*p**2 - 1672639049*p**2. 121*p**3 Collect the terms in -142*w + 0*w**2 + 44*w + 99*w + w**2. w**2 + w Collect the terms in -p + 25*p**2 - 19*p**2 + 5*p**2 + 16*p**2 + 21*p**2. 48*p**2 - p Collect the terms in 3328*b - 2859*b + 4*b**3 - 469*b. 4*b**3 Collect the terms in -13945*k + 2337*k - 11766*k - 2848*k. -26222*k Collect the terms in 91 + 90*h + 92*h + 184*h - 91 - 26*h. 340*h Collect the terms in -12*g**2 - 10*g**2 - 1322*g + 35*g**2 - 15*g**2 + 2635*g - 1313*g. -2*g**2 Collect the terms in 2*j**2 - 3*j**2 - 101781 + 79536. -j**2 - 22245 Collect the terms in -390*a**2 - 565*a**2 - 116*a**2 + 350*a**2. -721*a**2 Collect the terms in -18*d + 47*d - 131573*d**2 + 4 + 131458*d**2. -115*d**2 + 29*d + 4 Collect the terms in 10*h**2 + 10*h**3 - 10*h**2 - 3*h + 449*h**3 - 12*h**2 + 4*h. 459*h**3 - 12*h**2 + h Collect the terms in 5606*z - 16929*z - 1 + 2 + 5589*z + 5661*z. -73*z + 1 Collect the terms in -46 + 17981*h - 17985*h + 122. -4*h + 76 Collect the terms in -6816*y**2 - 6818*y**2 - 6817*y**2 - 6815*y**2 - 77*y**3 + 27264*y**2. -77*y**3 - 2*y**2 Collect the terms in -63 + 25 + 20 + 5369*c + 17 + 3186*c. 8555*c - 1 Collect the terms in -34 - 18 - 19686*l + 19. -19686*l - 33 Collect the terms in -1323*x**2 + 703*x**2 - 32*x**3 - 9
{ "pile_set_name": "DM Mathematics" }
Suppose 4*g = 5*c - 22751, -g = 4*c + 4*g - s. Is c a composite number? False Let u = -12329 + 23402. Is u*((-33)/9)/(-11) a composite number? False Let f(u) = -u**2 - 4*u + 2. Let g be f(-3). Let r be (17/(-5))/((-1)/g). Let d(n) = 3*n**2 - 37*n + 13. Is d(r) a prime number? True Let m be 2/(-3) - (-80)/(-6). Let o(j) = 5 - 4*j**2 + 19*j**2 + 5*j + 4*j**3 + 3*j - 3*j**3. Is o(m) composite? False Suppose 0 = -5*s - 5, -4 = 2*u - 2*s - 32. Let l = 2841 - 2329. Let n = l - u. Is n composite? False Suppose r + 102 = c, 0 = 3*c + 4*r - 87 - 233. Suppose 4*p + y = -c, 0*y = 2*y. Is 2/4 + (-19201)/p a prime number? True Let r(h) = -11524*h - 1335. Is r(-7) prime? True Let z(h) = h**3 + 2*h**2 + 2*h - 2. Let f = -361 + 370. Is z(f) a prime number? True Let p(h) = -h**3 + 42*h**2 - 17*h + 100. Let u be p(31). Let o = u - 2903. Is o composite? True Suppose -3*x = 3*x - 84. Suppose 5*s = 4*y - 104744, 16*s - x*s = 8. Is y composite? True Let f = 2637 - 1280. Let i = f + -620. Is i a composite number? True Let f(a) = 550*a**2 - 6*a - 1. Let y be f(2). Let x be 2/(-11) - y/11. Let p = 240 - x. Is p composite? False Suppose -109*s + 114*s = 4*h + 767113, 5*h + 920536 = 6*s. Is s a prime number? True Let x(b) = 47537*b - 1898. Is x(3) a prime number? False Let y(f) = -f - 21. Let b be y(1). Is (-17 - b)*(-8138)/(-10) a prime number? False Let q = -92 - -125. Suppose 5*y = -q + 43. Is 11964/8*-5*y/(-15) prime? True Let s = -949109 - -1350144. Is s a prime number? False Let c(r) = 162284*r**2 - 27*r + 2. Is c(1) a prime number? False Suppose 2*l - 3810 = -2*t, 3*l + 2*t - 5709 = -3*t. Suppose -d - 15072 = -l. Is (d/18)/(2/(-3)) composite? False Let k be (-2)/(-4)*(5 - -9)*1. Let g(f) = f + k*f**2 - 5 - 5 + 6 + f**3. Is g(-6) a prime number? False Let o(c) be the second derivative of 211*c**3/6 + 91*c**2/2 + 31*c. Is o(6) a prime number? False Suppose 0 = -4*c + 9 + 3. Let z be ((-5)/(-10))/((-7)/(-70)). Suppose -1057 = -z*h - 5*f + 598, f = -c*h + 1001. Is h a prime number? False Suppose 3*r = 2*y - 39, -8*y + 5*y - 5*r + 30 = 0. Let o be (17 - y) + 2*617. Let h = o + -347. Is h composite? True Let z = 10 - -336. Suppose -135 = 4*a - 2*b + 147, -5*a = 4*b + z. Is (-2)/7 + (-25360)/a a prime number? False Suppose -2*s = -2*b + 6053 + 2459, 2*b = -2*s + 8524. Let j = 1651 - b. Let c = -1599 - j. Is c a composite number? False Suppose -20 = -4*o, 3*z + 11851 = 5*o + 29757. Let f = -1886 + z. Is f a composite number? False Let v = -71 + 76. Suppose -3*r = v*g - 29414, 3*g = -g - 4*r + 23528. Suppose 12*d = 8*d + g. Is d a prime number? True Let b be 1870/33 + 2/(-3). Suppose -2*t = -0*t + b. Let a = 78 - t. Is a composite? True Is 5/15 - (-12)/18 - -48954 a prime number? False Let f = 56 - 155. Let j = 1082 + f. Is j a composite number? False Suppose 594 = 71*w - 65*w. Let j = w - 25. Suppose -3*h - 2*f - j = -601, -3*h + 522 = 3*f. Is h composite? False Let j(n) = n**2 - 8*n - 2. Let o be j(8). Let r be 227587 + (-1 - o) + 4. Is 1/(-5) - r/(-60) prime? True Suppose 23*i = 20*i - 6. Let n(l) = -927*l**3 + 2*l**2 + 4*l + 5. Let o be n(i). Suppose -7*a + 7286 = -o. Is a prime? False Let c be 3*(-36)/(-27)*(-1)/2. Let a(u) = 638*u**2 + 9*u - 3. Is a(c) composite? False Is (6 - 1) + 31/(403/2263716) a composite number? False Let c(l) = l**3 + 26*l**2 + 50*l + 48. Let g be c(-24). Is (g + 1)/(15/45735) a composite number? False Suppose 21*j = -40*j + 44433268 - 18233951. Is j prime? True Let l(w) = -w**2 + 19*w + 4. Let d be l(19). Suppose 0 = -g + 4*h + 252 + 34, 512 = 2*g + d*h. Is g/((-1 - -2 - 0)*2) a composite number? True Let y(x) = x**3 - 6*x**2 - 6*x - 2. Let s be -4 - -4 - 1*(1 - 8). Let p be y(s). Suppose -2225 = -5*m - 2*k, 2*m + m = p*k + 1335. Is m composite? True Let v(p) = 15*p**2 - 7*p + 7. Suppose 5*y - 3*g = 238, -4*y - y - 4*g + 231 = 0. Suppose -y = -5*q - 4*i + 19, 3*i = -2*q + 32. Is v(q) a prime number? False Suppose 50*a - 18483770 = -140*a. Is a a prime number? True Suppose 0 = -5*y + 6*y - 1. Let m be (-1 - 1/1)*(-7)/y. Let w(f) = f**3 - 4*f**2 - 8*f - 13. Is w(m) prime? False Let z = -74885 + 111924. Is z composite? False Let z = -156527 - -273316. Is z a composite number? False Let s(o) = -614*o + 35. Suppose -4*v - 33 = 2*t - 5*t, 5*t - 11 = 3*v. Is s(v) prime? False Let a be (-4179)/(-9)*(9 + (-2 - 1)). Suppose 2567 = m + i - a, 0 = 4*m - 2*i - 21436. Is m a composite number? True Let d(y) = -8*y**3 + 6*y**2 + 8*y - 12. Let o(l) = 8*l**3 - 6*l**2 - 8*l + 13. Let z(v) = 6*d(v) + 5*o(v). Is z(-8) prime? True Let p(q) = -9713*q + 39. Is p(-4) prime? True Let w(d) = d**2 + 6*d + 1. Let h be w(-6). Let c(l) = 10*l**3 - l**2. Let i be c(h). Is 3220/i - 28/(-126) a composite number? True Let z = -18886 + 27404. Suppose 4*n + 3396 = 2*y, z = -y + 6*y - 3*n. Suppose -y = -3*o + 4753. Is o a composite number? False Is (-4244134)/(-32) + (-507)/2704 prime? False Suppose g - 418175 = -3*m, -5*m - g + 4*g + 696949 = 0. Is m prime? False Suppose 3*j - 389 = -h, j - 102*h = -103*h + 131. Is j composite? True Let v(u) = -10*u**2 + 5*u - 4. Let r be v(1). Let p be ((-21)/r)/(-7)*-61782. Suppose p = 6*f - 15808. Is f prime? True Suppose x = -4*s + 785869, -5*s - 2700575 = -3*x - 343019. Is x prime? True Suppose 5*w = 5*x - 30, -3*x - 2*x + 36 = -2*w. Let i(a) = -20*a + x + 23 - 107*a. Is i(-16) prime? True Let u(h) be the first derivative of h**4/4 - 8*h**3/3 + h**2 - 7*h + 10. Let s be u(7). Let m = 95 + s. Is m a composite number? False Suppose -21*y - 3 = -20*y, -3067024 = -5*z + 3*y. Is z a composite number? True Let w be 36/(-162) - 184088/(-9). Let t = -5393 + w. Is t prime? True Let k be (-3)/(-6 + (-105)/(-20)). Suppose 5*r = k*r + 4349. Is r a prime number? True Let z(p) = 672*p**2 - 15*p + 18. Let q be z(5). Is (-2 - -5)/(9/q) a composite number? False Let q(d) = -d**3 - 104*d**2 - 50*d + 5262. Is q(-115) a composite number? False Let w = -65 + 67. Let o(f) be the third derivative of 26*f**4/3 - f**3/2 - f**2 + 2*f. Is o(w) prime? False Suppose 4*j = -2*j + 12. Suppose -2*w = 4*x - 1808, j*w - 4*x - 1799 = x. Is w/1*14/28 a prime number? False Suppose -8716172 + 4730250 = -51*s + 7295635. Is s a prime number? False Suppose -28*k + 22*k = -23*k + 7138657. Is k composite? False Suppose -5*u - w + 424025 = 0, 4*w + 1017692 = -u + 13*u. Is u composite? True Suppose -j + 462295 = -2*r, 5*r - 9264 = -j + 453031. Is j prime? False Is (6 - 124)/((-78)/260247) prime? False Let u be ((-1488)/18)/(2 - 15/9). Let f be (2 - u)/((-8)/64). Let z = f + 3391. Is z a prime number? False Suppose 30 = n - 4*n - 3*d, 2*n + 8 = 4*d. Let j be 478334/7 + 6/(-84)*n. Is 1 + (-18)/14 - j/(-98) a prime number? False Let h be 18/(-4)*(-15364)/207. Let n(j) = j**3 - 12*j**2 - 17*j - 8. Let g be n(13). Let k = g + h. Is k prime? False Let x(v) = -22*v - 23*v**2 + 20*v**2 + v**3 - 40 - 11*v**2 + 10. Let f be x(19). Let u = -964 + f. Is u a composite number? True Let f(o) be the first derivative of -47*o**2/2 + 6*o + 55. Is f(-19) composite? True Let k(l) = -14*l - 54. Let r be k(-4). Is ((-3)/r)/((-6)/78956) a composite number? False Let u = 113 + -112. Let h be 2 + 1 + u + 1. Suppose 1759 = -h*i - 5*q + 5439, 3*q - 6 = 0. Is i prime? False Let u be ((-10)/(-6))/(3/(-9)) - -25. Suppose u*x = 37626 + 8794. Is x prime? False Let u(d) = 9576*d + 27. Let n be u(10). Suppose 5*v - n = w, 2*v + 4*w = -3214 + 41520. Is v a composite number? False Suppose 19315859 = 100*s - 34747653 + 5777812. Is s composite? True Let u = 208 - 218. Is (-1657)/(18/45 - (-14)/u) prime? True Let m(n) be the third derivative of 1/6*n**3 - 20*n**2 + 1/30*n**5 + 0*n + 0*n**4 + 1/3*n**6 + 0. Is m(2) a composite number? True Suppose -13*r + 26*r - 609393 = 709184. Is r composite? False Is 7 + (32253 - (-5 - -8)) prime? True Let f be 3 + (-1)/((6/(-2))/(-3)). Is (-6 - 2147)*(-10)/f a prime number? False Let z(x) = x**3 + 7*x**2 - 5*x - 12. Let l be z(-8). Let g = l + 39. Suppose g*r = -0*r - 3*y + 1245, -830 = -2*r + y. Is r a prime number? False Let r(a) = 20*a**2 - 3*a + 9. Let i(p) = p**2 + 4*p + 3. Let l be i(-4). Suppose l*d - 3*w = 5 - 2, 0 = 2*w - 6. Is r(d) composite? False Let x = 165 + -174. Let h be (-4 - (-4 + 3)) + 1. Is 36/x - (h + -261) prime? False Suppose l = 5*t - 76, 0 = -3*t - l + 12
{ "pile_set_name": "DM Mathematics" }
s of (1062 - -39) + 0 + -5. 2, 137 Suppose 0 = -3*d + 8 + 4. Suppose 0 = 4*k + 3*w - 5*w - 154, -89 = -2*k - 3*w. Suppose d*q - 124 + k = 0. List the prime factors of q. 3, 7 Let m = -68 - -68. Suppose -13*t + 637 = -m*t. List the prime factors of t. 7 Let h = 247 + 254. What are the prime factors of h? 3, 167 Suppose 4*d = 6*m - 2918 - 2052, 2495 = 3*m - 4*d. What are the prime factors of m? 3, 5, 11 Let s(n) = 732*n - 31. List the prime factors of s(1). 701 List the prime factors of 115 - 110 - (1 + -1861). 5, 373 Suppose 2*h = 0, -3*i + 0*i - 4*h + 6 = 0. Suppose d + 65 = -a, -3*d - i*d - 85 = a. List the prime factors of (2 - 1)/((-2)/a). 2, 3, 5 Let c(g) be the second derivative of -g**5/20 + 5*g**4/12 + g**3/6 + 3*g**2/2 + 7*g. List the prime factors of c(5). 2 Suppose -5*z + 38 = -3*w - 4*z, -4*z = -2*w - 32. What are the prime factors of 10/(-15) - 260/w? 3, 7 Let l be 16 - 15 - ((0 - -2) + -14). Suppose -783 = -l*r + 2831. What are the prime factors of r? 2, 139 Suppose 4*i + 499 = 11447. What are the prime factors of i? 7, 17, 23 What are the prime factors of (8/10)/(24/96420 + 0)? 2, 1607 What are the prime factors of (48150/35)/9*7? 2, 5, 107 Let n(j) = -3*j**2 - 9*j - 14. Let u(g) = g - 1. Let y(p) = -n(p) - 6*u(p). List the prime factors of y(-6). 2, 5, 11 Let a(o) = -4 - o**2 + 3*o - 10*o + 5*o + 7*o. Let v be a(3). List the prime factors of ((-28)/5)/(v/(-10)). 2, 7 Suppose 0 = 4*b - 3*b - 2. Suppose r + b*r = 75. List the prime factors of r. 5 Let c = 578 - -1753. List the prime factors of c. 3, 7, 37 Let g be (-170)/(-30) + (-4)/6. Suppose -2*b + 108 = 4*t, 2*b - 4*t = g*b - 156. Suppose 0 = 2*y + y - b. List the prime factors of y. 2 Suppose 3*f + 169 = 3097. What are the prime factors of f? 2, 61 Let v be (-30)/4*(0 + 2/1). List the prime factors of -12*20*(1 - (-25)/v). 2, 5 What are the prime factors of (-48)/(-744) - 110730/(-31)? 2, 19, 47 Let q(t) = t**3 + 2*t**2 - 38. Let c be q(0). Let f = -17 - c. List the prime factors of f. 3, 7 Suppose -12 = -2*o - g, 2*o - 6*g + 2*g = -8. Suppose 0 = -o*y + i + 59, 7*i - 2*i = -y + 20. List the prime factors of y. 3, 5 List the prime factors of (4 - 6)*(-2)/(-4) - -599. 2, 13, 23 Suppose 3*v - 2*z = 86 + 3035, -3*z = -4*v + 4162. What are the prime factors of v? 1039 Suppose r = -4*m + 689, -4*m = -r - 4*r - 683. What are the prime factors of m? 2, 43 Suppose 47 = 5*l - 4*v, 5*l - 5*v - 12 = 38. Suppose l*n = 945 + 623. List the prime factors of n. 2, 7 Let n(q) = q**3 + 5*q**2 - 4*q + 7. Let u(f) = -2*f - 2. Let w be u(2). Let j be n(w). What are the prime factors of ((-4)/j)/(12/390)? 2, 13 Let v(x) = x**2 - 31*x - 662. List the prime factors of v(49). 2, 5, 11 Suppose -490 = -5*v + 5*k, -4*v - k + 398 = -3*k. List the prime factors of v. 101 Let m(j) = -j**2 + 21*j - 61. What are the prime factors of m(13)? 43 Let m = 158 + -224. What are the prime factors of -2*1 - m/3? 2, 5 Suppose -1429 - 1151 = -6*h. What are the prime factors of h? 2, 5, 43 Let x be (-8)/(-32) - (-142)/8. Suppose 0*h - 3*h - 4*s = -5, -s - x = -2*h. What are the prime factors of h? 7 Suppose 12533 = 29*i - 2953. What are the prime factors of i? 2, 3, 89 Suppose k + 1 - 6 = 0. Suppose -k*l + 15 = -0*l. Suppose -x + 93 = l*i + 37, 48 = x - i. What are the prime factors of x? 2, 5 Let q(i) = -11*i. Let m(h) = -351*h. Let y(b) = -2*m(b) + 65*q(b). What are the prime factors of y(-4)? 2, 13 Suppose -3*m = m + 3*v, 0 = -m + v. Let s(g) = -g**3 - g**2 + 61. List the prime factors of s(m). 61 Let z = -2 - 4. What are the prime factors of (-48)/(-32)*(-64)/z? 2 Suppose -669 - 611 = -5*j. Suppose 8*c = -0*c + j. What are the prime factors of c? 2 Let g(z) = -z**3 - 22*z**2 - 5*z - 64. What are the prime factors of g(-23)? 2, 5, 29 Let l(f) = -f**3 - 5*f**2 - 13*f + 8. Let k = -140 + 134. List the prime factors of l(k). 2, 61 Let l = 31 + -29. Suppose -l*w = -4*y + 160, 4*y = -y - 3*w + 189. What are the prime factors of y? 3, 13 Let d be 58*-1*(-7)/14. Suppose 2*a - 5*w - d = a, -4*w - 12 = 2*a. Suppose 4*j + 2*m = 3 + 25, a*m - 6 = 2*j. What are the prime factors of j? 5 Let y be 9/15 + 0 + 3/(-5). Suppose 0 = -4*p - 0*s - s + 391, 3*s - 9 = y. List the prime factors of p. 97 Let k(d) = -4 - d + 6*d**2 + 0*d**3 + 5*d**3 - 4*d**3 + 5. List the prime factors of k(-6). 7 Let k(f) = -5*f + f**2 + f**2 + 5*f - 5*f + 4. List the prime factors of k(6). 2, 23 Suppose -1137 = -4*o + 6507. List the prime factors of o. 3, 7, 13 Let m(n) = n**2 + 6*n - 8. Let a be m(-7). Let i be (-9)/(2 - a)*-1. Suppose -i*w + w = -10. List the prime factors of w. 5 Suppose x - 9496 = -7*x. List the prime factors of x. 1187 Suppose -10*b = -14*b. Suppose l = -b*v - 5*v + 26, 3*l = -4*v + 89. What are the prime factors of l? 31 Let a = -62 - -49. List the prime factors of 0 + a/((-39)/558). 2, 3, 31 What are the prime factors of (-8)/(-3)*(2946/12 - -5)? 2, 167 Suppose -5*m - 2*u - 161 - 163 = 0, 2*m + 130 = -u. Let s = 16 + -47. Let n = s - m. List the prime factors of n. 3, 11 Suppose 0 = -24*t - 8165 + 132245. List the prime factors of t. 2, 5, 11, 47 Let o be (1/3)/(7/7329). Let u be o/3 + 16/24. Suppose -4*p = -p - u. List the prime factors of p. 3, 13 Suppose 3*r = -23*z + 28*z - 3335, -5*r - 2001 = -3*z. What are the prime factors of z? 23, 29 Let g(n) = n**3 - 7*n**2 + n - 3. Let a be g(7). Suppose -220 = -0*j + a*j. What are the prime factors of (-1227)/(-33) + 10/j? 37 What are the prime factors of 1148 + 0/3 + -3? 5, 229 Let c = -40 - -41. Let u(l) = 78*l + 5. What are the prime factors of u(c)? 83 Suppose 15*q - 586 = 1304. List the prime factors of q. 2, 3, 7 Suppose -4*q - 5*p = -7*q + 159, -159 = -3*q + 3*p. Suppose -2*s - 3*b + 38 = -q, 2*b = -2*s + 92. What are the prime factors of s? 47 Let y be 108*(3 - (-6)/(-3) - 2). Let v = y + 217. List the prime factors of v. 109 What are the prime factors of 5161 - (-6 + (-12 - -20))? 7, 11, 67 Suppose 9*v - 1566 - 3663 = 0. What are the prime factors of v? 7, 83 Suppose -6*g = -6485 - 3319. List the prime factors of g. 2, 19, 43 Suppose 0 = b + b + 4. Let p be 2*b/4*5. What are the prime factors of (-14)/(-35) - 183/p? 37 Let s be 0*(5/3)/(-5). Suppose s = x + h - 53 - 47, -2*h + 398 = 4*x. What are the prime factors of x/18 - (-2)/4? 2, 3 What are the prime factors of 30/(-40)*12*-122? 2, 3, 61 Let p(l) = 185*l - 6. List the prime factors of p(3). 3, 61 Let y = 8 - 5. Suppose 3*k - 108 = 2*h, -h - y*h - 216 = 3*k. What are the prime factors of 6/(-15) + h/(-10)? 5 Let k(y) = -y**2 - 7*y - 4. Let s be k(-6). Suppose s*q - 13 = 11. Suppose q*b = 7*b + 300. List the prime factors of b. 2, 3, 5 Suppose 4*g - 11056 = 2*i + 2*i, 11096 = 4*g + 4*i. What are the prime factors of g? 3, 13, 71 Let a(j) = 138*j**2 - 57*j**2 - 12*j**2. What are the prime factors of a(-1)? 3, 23 List the prime factors of (40/(-5))/(2/(-118)). 2, 59 Let w(g) = -4 + 13 - 25 - 28 - 5*g. List the prime factors of w(-10). 2, 3 Let y(b) = 14*b**2 - 5*b - 126. What are the prime factors of y(-8)? 2, 3, 5 Suppose 1607 + 405 = 2*s. What are the prime factors of s? 2, 503 Suppose -5*w - 28 + 6 = -3*j, 0 = -j - 2*w. Suppose j = p + 1. Suppose 2*l = p*s - 40, -2*l + l - 5 = 0. What are the prime factors of s? 2, 5 Let f(y) = -96*y**3 - y**2 - 3*y - 6. What are the prime factors of f(-2)? 2, 191 Suppose 3 = -2*n + 7. Let s(o) = o**2 - 3*o + 2. Let a be s(n). Let i(y) = -y**3 - y + 14. What are the prime factors of i(a)? 2, 7 List the prime factors of (-10)/6*3 - (2 + -384). 13, 29 List the prime factors of 417/(-2)*5/((-25)/20). 2, 3, 139 Suppose 0 = -13*n + 915 - 148. List the prime factors of n. 59 Let k(l) be the third derivative of l**6/120 + l**5/12 - l**4/8 - 2*l**3 + 3*l**2. Suppose 22*s - 20*s + 10 = 0. List the prime factors of k(s). 3 Let b(p) = -4*p**3 + 2*p**2 + 2*p - 4. Let q be b(2). List the prime factors of 9/6*(-1456)/q. 7, 13 Let f(b) = 6*b**3 + 2*b**2 - 7*b - 3. What are the prime factors of f(4)? 5, 7, 11 Let z(y) be the third derivative of y**4/24 - y**3 + 4*y**2. Let n be z(7). Suppose t - 12 = p + n, -4*p = 5*t - 20. What are the prime factors of t? 2 Let i = -1170 + 2730. What are the prime factors of i? 2, 3, 5, 13 Let l be 2 - 3 - (-24)/6. Suppose -3*g = -0*g - d + 170, -l*g - 174 = -3*d. Let
{ "pile_set_name": "DM Mathematics" }
q rounded to the nearest integer? -22 Let n = 5397.98641 + -5398. Round n to 3 decimal places. -0.014 Let j = 4073836.982 + -4069140. Let a = j + -4560.5. Let i = a + -137. Round i to 2 dps. -0.52 Let s = 32.87352 - 35.7495. Let p = s - -2.937. What is p rounded to two dps? 0.06 Suppose -28240564 + 404584 = -138*n. What is n rounded to the nearest one hundred thousand? 200000 Let r(t) = -t - 921. Let x = 1 - 1. Let o be r(x). Let q be o/(-8) - (-5)/(-40). Round q to the nearest 10. 120 Let y = 2388 + 2816. Suppose -7*w + 42746 + y = 0. Suppose 6*r - r - w = 0. Round r to the nearest 100. 1400 Let n = -0.0173293 + 251.3603293. Let l = n + -251. Round l to two dps. 0.34 Let c = -5060 - -5059.9997325. What is c rounded to four decimal places? -0.0003 Let r = 10375 - 3967. Suppose 96 + r = 24*k. What is k rounded to the nearest 100? 300 Let q = -697 + 384. Let s = 315.99 + q. Round s to one decimal place. 3 Let v = 2439.395 + -2407. What is v rounded to the nearest integer? 32 Suppose -r = b + 11, 0 = 2*r + 4*b + 3 + 25. Let j = r - -10. Let u be -1*j*(-415)/10. Round u to the nearest 10. 80 Let a = 117 + -117.0434. Let s = 0.0164 + a. What is s rounded to two dps? -0.03 Suppose 12*m + 6*m + 486379367 = -104866633. What is m rounded to the nearest one hundred thousand? -32800000 Suppose -n + 10*n = 729. Let y = 78 - n. Let h be (-3551 - -11)*(-2000)/y. Round h to the nearest one hundred thousand. -2400000 Let i = 165393811.8 - -532221120.2. Let c = 697615227.000311 - i. Let u = c - 295. Round u to five decimal places. 0.00031 Let v = 476.0145 - 0.0145. Let l = 475.9774 - v. Round l to one decimal place. 0 Let b = -3.8943 + -0.621. Round b to 2 dps. -4.52 Suppose 0 = 5*o - p - 172600005, 2*p = 5*o - 3*o - 69040010. Suppose -249*q - o = -253*q. Round q to the nearest 1000000. 9000000 Let g = -8.26 - 0.94. Let v = 0.132 - -9.0532. Let u = v + g. Round u to three dps. -0.015 Suppose -2*s - 6*m + 2*m = -108, 3*m + 270 = 5*s. Let q(u) = -57*u**2 - 14*u - 12. Let w be q(-1). Let b = w + s. Round b to 1 decimal place. -1 Let l = 76 + 45. Let y = l - 119.844. What is y rounded to one decimal place? 1.2 Let g = 1.52915 - -0.07275. What is g rounded to 1 decimal place? 1.6 Let p = 9016.99999815 + -9017. Round p to six dps. -0.000002 Let u = 165 + -29. Let k = u + 1096. Let v = 2412 - k. What is v rounded to the nearest one hundred? 1200 Let a = -58423.9 + 56097. Round a to the nearest one hundred. -2300 Let z be 8 + -8 + -1 + -50999. Let l be z/(-9 - 23448/(-2608)). What is l rounded to the nearest 100000? 5500000 Let y = -42995978 - -201285978. What is y rounded to the nearest one million? 158000000 Let r = 17308.79928761 + -17308.8. Round r to 5 dps. -0.00071 Let n = -42 + 56. Let d = 8.8 - n. Let c = d - -5.3. Round c to 0 dps. 0 Let l = 17.44 - 17.439504. Round l to five dps. 0.0005 Let o = -2086.00003339 - -2086. What is o rounded to six dps? -0.000033 Let q(c) = -197015*c - 380. Let b be q(-12). Round b to the nearest 1000000. 2000000 Let m = -6060 + 8801. Let d = 2741.01273 - m. Round d to 2 dps. 0.01 Let p = 2623.9999517 + -2624. Round p to 6 decimal places. -0.000048 Let n(p) = 167188*p**2 - p - 4. Let q be n(4). Suppose -46*y = -45*y + q. What is y rounded to the nearest one hundred thousand? -2700000 Let s = -647.22 + 9.22. Let x = 637.9999286 + s. Round x to six dps. -0.000071 Let n = -29327 + 29321.0401. Round n to two dps. -5.96 Let n = 3940 + -3940.000008796. What is n rounded to seven dps? -0.0000088 Let i = -1.35 - 0.25. Let l = -1.16 + i. Let w = -0.56 - l. Round w to one dp. 2.2 Let s = 5.912 + -5.9091736. What is s rounded to 4 decimal places? 0.0028 Let g be -3 + (-12)/(-3) + -1 + 8125. Let k be (0 + g)/((-14396)/2880 - -5). What is k rounded to the nearest one million? 6000000 Suppose 82*a + 38*a - 125506224 - 756637776 = 0. Round a to the nearest one million. 7000000 Let j = 155902 + -155902.470315. Let u = -116 - -116.47. Let h = u + j. What is h rounded to 5 dps? -0.00032 Let i = -2634 + 2653.57. Let z = 251.4 - 272. Let g = z + i. Round g to one decimal place. -1 Let g = 2046.6 - -117.6. Round g to the nearest ten. 2160 Let p = -1137959 - -2008959. Let i be p*(3/7 - 4/(-7)). What is i rounded to the nearest ten thousand? 870000 Let l = -1045 + 1045.00010348. Round l to five dps. 0.0001 Let l = 10.131 - 16.071. Round l to the nearest 10. -10 Let a = 285677471 - 285677416.99999952. Let t = 51 + 3. Let r = a - t. Round r to 7 dps. 0.0000005 Let b be 2/(-16) + (-804887222)/(-4016). Round b to the nearest 10000. 200000 Let c = -0.07 + 17.97. Let a = 4.4 - -9.3. Let j = a - c. What is j rounded to 0 decimal places? -4 Let n = 12131523 - 2625723. Round n to the nearest 1000000. 10000000 Suppose -4*f - 4*b - 18 = -3*f, -74 = 5*f + 4*b. Let a be (2640/56)/((-16)/f + -1). What is a rounded to the nearest 100? 300 Let g = 1.57 + -1.6084. Let s = 0.040472 + g. Round s to four decimal places. 0.0021 Suppose 189625976 = 39*y + 1485985976. Round y to the nearest 1000000. -33000000 Suppose -3*j = 5*q - 52674, -4*q = 4*j - 54475 - 15757. Round j to the nearest one thousand. 18000 Let a = 7 - 6.718. Let g = -0.17 - a. Round g to 2 decimal places. -0.45 Let q be ((-32)/(-5))/((-12)/11910). What is q rounded to the nearest 100? -6400 Let m(h) = -23*h**2 + 4*h + 5. Let y(d) = -11*d + 27. Let k be y(2). Let c be m(k). What is c rounded to the nearest one hundred? -600 Let d(c) = c**3 - c**2 + 4. Let p be d(0). Suppose p*r + 720000 = r. What is r rounded to the nearest one hundred thousand? -200000 Let q = -25.506 - -25.432889. What is q rounded to 3 dps? -0.073 Let n(j) = 448*j**2 + 40*j - 748. Let f be n(-41). What is f rounded to the nearest one hundred thousand? 800000 Let r = 271 + -125. Let p = r - 146.0000157. What is p rounded to five dps? -0.00002 Let i be (-8)/(-12)*-6 - (-5364)/4. Suppose t - 3*k - 1344 = 4*t, 3*t + i = 4*k. Let x = t - -277. Round x to the nearest 100. -200 Let g = 16.9540081653 + -16.954. Round g to 7 dps. 0.0000082 Let v = -2555 + 2554.201. Round v to zero decimal places. -1 Let p = 5897.997615661 + -5421.99761543. Let o = p - 476. What is o rounded to seven dps? 0.0000002 Suppose 4*b - 22*b + 126 = 0. Suppose 9*d - 2480 = b*d. Round d to the nearest one thousand. 1000 Let l be 2338052/(-5) - (-2)/5. Let n = l + 731488. Suppose -5*s = n - 83878. What is s rounded to the nearest ten thousand? -40000 Suppose 6*h - 11*h + 15 = 0. Suppose 0 = h*w - 327 + 1083. Let i = w - -444. Round i to the nearest 10. 190 Let y = -10.942054 + 10.963. Round y to 4 dps. 0.0209 Let w(b) = 101*b**3 + 33*b**2 - 114*b - 40. Let u be w(-35). Round u to the nearest 100000. -4300000 Suppose -g - 3*g + 12 = 0. Let p(r) = 48 - 39 - 1366668*r + 0 - 5. Let k be p(g). What is k rounded to the nearest 1000000? -4000000 Let t = 95 + -95.09. Let s = -446.9 - -446.80995. Let c = t - s. Round c to four decimal places. 0.0001 Suppose -3*g - 36 + 33 = 0, 0 = 3*z - 5*g - 88676. Let k = z + -142757. What is k rounded to the nearest 10000? -110000 Let g = -3.13 + 3.1298351. Round g to six decimal places. -0.000165 Let n = -3186.33 + 3114. Let p = -72 - n. Let q = -0.59 + p. What is q rounded to one decimal place? -0.3 Let a = -0.03735646 + 65.03661646. Let x = 65.67 - 0.67. Let g = x - a. Round g to four decimal places. 0.0007 Let t = -30.45 + -3.25. Let z = t + 33.6859. Round z to three decimal places. -0.014 Let q = 907 + -451. Let y = 457.039 - q. What is y rounded to 2 dps? 1.04 Let c = -959 + 426. Let l = 533.000569 + c. What is l rounded to five dps? 0.00057 Let b = -50 + 34. Let w = -12 - b. Suppose 0 = -4*q - i + 4080003, -1101379 = w*q - i - 5181376. Round q to the nearest 100000. 1000000 Let p = -9954 - -10434.02. What is p rounded to the nearest 10? 480 Let h = 16328 + -17032.9. What is h rounded to the nearest ten? -700 Let x = -20990 + 20990.0995. Round x to 3 decimal places. 0.1 Suppose -n + 12 = 3*n, 3 = -3*l - 4*n. Let b be l + -1 - (7 + -707). What is b rounded to the nearest one hundred? 700 Suppose 3*t - 2*t = -761397. Let k = t - -350397. What is k rounded to the nearest ten thousand? -410000 Let q = -0.073936 - 37.435064. Let c = q + -0.091. What is c rounded to 0 dps? -38 Let y be 2/5 - 894/(-4)*(-609624)/(-90). Round y to the nearest ten
{ "pile_set_name": "DM Mathematics" }
mon denominator of w and 10/(-24)*(19 + 25). 12 Suppose -2*f - 3*d = 5403, 0 = -4*f - 5*d - 6573 - 4238. Find the common denominator of (f/70)/9 + 1 and 29/23. 230 Let h be -4*(9/(-3))/3 - 13. What is the common denominator of -93/28 and ((-55)/h)/(180/135)? 84 Suppose -11*d + 0 = -0. Suppose -4*y = 3*i + 213, 0 = -y - 2*i - d*i - 52. Calculate the common denominator of -7/12 and ((-206)/y)/(10/15). 36 Let l = -219823/24 - -9158. Calculate the common denominator of (-1 - 182/132) + (810/(-36) - -24) and l. 264 Let p = -1254 + 2604. Calculate the least common multiple of 24 and p. 5400 Let u = 2307325/256 - 9013. Find the common denominator of u and -11/36. 2304 Let c = -126322 - -237193. Let k be (-6)/(-2) - c/(-61290). Let u = 172/227 + k. Calculate the common denominator of u and -47/4. 60 Suppose -70 = -5*v + 5*a - 20, 2*a - 12 = -2*v. Let o be (-2 + (2 - 2))/(-1). Suppose 0 = 5*x - 82 + o. What is the smallest common multiple of x and v? 16 What is the common denominator of -61/145 and ((-97)/29 - -3)*144/(-315)? 1015 Calculate the smallest common multiple of 16 and (18*7)/((-225)/(-300)). 336 Let f be 3 - ((-1)/(-1) + 2 + 0). Suppose -5*r = -25, 0 = -f*o + 5*o + 2*r - 5. What is the common denominator of 70/33 and 37/(-3) + o - (-9 + 6)? 33 Let y(c) = 5*c + 43. Let n be y(-9). Find the common denominator of (-4)/(-8) + 0 - -2 and n + ((-4)/(-6))/((-21)/(-9)). 14 Let v be -3 + (-30)/12*1*-2. Suppose -v*o + 14 = 24. What is the common denominator of -39/10 and (-1)/(-16)*(25/o - 18)? 80 Calculate the least common multiple of 168 and ((-1862)/56 - -7)*-24. 2520 Suppose -37*l + 4*l = -52998. What is the least common multiple of 6 and l? 4818 Calculate the lowest common multiple of 30/3 + 6824*(-1)/(-4) and 780. 8580 Let v = 17193462479/1132751718 + -4900/372861. Let p = 2/1519 + v. Calculate the common denominator of -131/6 and p. 6 Let f = 9137/4 + -1124005/492. What is the common denominator of f and 137/66? 2706 Let q = 55889 - 838403/15. Let h = -406039/36 + 11283. Calculate the common denominator of q and h. 180 Let t(g) = 3*g - 4. Let d be ((-3)/(9/8))/((-19)/57). Suppose 0 = -d*w + 36 + 44. Calculate the lowest common multiple of w and t(3). 10 Let z(h) = -31*h + 679. Calculate the lowest common multiple of z(21) and 58. 812 Let a(v) = -v**2 - 1. Let t(j) = -12*j**2 + j. Let y(o) = 6*a(o) - t(o). What is the lowest common multiple of y(3) and 30? 90 Let y(r) = 273 - 194 + 16*r - 15*r. Calculate the least common multiple of 60 and y(11). 180 Suppose -12 = -3*o, q - 26 + 3 = -2*o. Let r = 92 - 56. What is the smallest common multiple of r and q? 180 Let v be (20/(-12) - 4)*-9. Let h = v + -49. Suppose -35 = -h*q + 35. Calculate the least common multiple of 5 and q. 35 Let l = -38 + 90. Let h = l + -38. What is the smallest common multiple of 158 and h? 1106 Let u(y) = 84 - y**2 + 20*y + 98 + 2*y - 273. Calculate the lowest common multiple of 264 and u(8). 1848 Let z = 4565 + -3690. What is the smallest common multiple of 4 and z? 3500 Suppose -d - 4*u = -25, -4*d + 3*u = -67 - 109. Suppose 3*c = 2*p - d, 5*p + 0*p = -3*c + 113. What is the lowest common multiple of p and 10? 110 Calculate the common denominator of ((-9)/((-144)/(-142)))/((-3)/(-2)) and (-116)/(-754) + 1382/312. 12 Suppose d + 1582 = 130*y - 129*y, -1588 = -y + 2*d. What is the least common multiple of y and 2364? 4728 Let w be (6 + (-2 - (-18214)/480))*-398. Let i = w + 16694. What is the common denominator of 49/12 and i? 120 Let j(c) = -5*c - 35. Let g be j(-14). Suppose 0 = 3*n - 13 - g. Calculate the least common multiple of 3 - -4*(-1)/(-2) and n. 80 Let f be (2 - 1) + 0 + (-4128)/3. What is the common denominator of f/(-308) - 15/3 and -75/56? 56 What is the common denominator of 5 + ((-46562)/48 - -9)*(-1)/(-190) and 7/54? 8208 Let d be ((-44)/6)/(0 - (-56)/(-3924)). Let q = 57013/112 - d. Let r = 20040 + -761417/38. Find the common denominator of r and q. 304 Suppose 0 = 5*c + 2*u - 7*u - 60, c - 32 = -3*u. Suppose 0*f - 5*f = -z - c, -f = 2*z + 1. Find the common denominator of (-70)/16*(-1)/(-30)*f and 67/22. 176 Let n = 15345 - 14834. What is the lowest common multiple of n and 56? 4088 Let r(f) = 10 - 4*f**2 + 2*f + 14 - 33 + 27*f**3. Let t be r(7). Let c = t - 290283/32. Find the common denominator of -85/14 and c. 224 Let g(n) = 17*n**3 - n**2. Suppose -15*p - 20 = 5*p. What is the lowest common multiple of -5 - 2/p - (-15)/1 and g(1)? 48 Suppose -18*c + 14*c = -8. What is the common denominator of 67/10 and ((-141)/(-35) - 2) + c/(-1)? 70 Let t = -552 - -872. Suppose 0 = -f, -4*c + 6*f = 7*f - t. What is the lowest common multiple of 16 and c? 80 Let y(k) = -k**3 - 2*k**2 + 50*k - 11. Let c be y(6). Let w(i) = 18*i**3 + i**2 - i + 2. Calculate the least common multiple of 92 and w(c). 460 Let g be (-10605)/18*(-6)/38980. Let z = g - 1144400693/70164. Let a = z + 16315. What is the common denominator of a and 15/7? 126 Let i = -3 - -24. Let s(q) = 23*q + 68. Let f be s(-4). What is the smallest common multiple of (f/(-30))/((-4)/(-30)) and i? 42 Let x be (1 - 3)*4/8. What is the common denominator of ((-18)/80)/(-6*(-6)/984) and 46/(-100)*(-3 + x)? 100 Let b(s) = 20*s - 2. Let n be b(-8). Let m be n*((-5)/2)/(-5). Let i = m + 121. What is the smallest common multiple of 68 and i? 680 Let o = 962 - 940. Calculate the lowest common multiple of 1528 and o. 16808 Let u be (-24)/56 + 405/(-35). What is the least common multiple of (-13)/(455/(-270)) - u/42 and 381? 3048 Let m(c) = 24*c**3 + 15*c**2 + 15*c - 30. What is the lowest common multiple of m(2) and 108? 756 Let y(t) = 391*t + 1219. Calculate the smallest common multiple of y(11) and 840. 38640 Suppose 42*c - 115*c + 3420 = -54*c. What is the least common multiple of 100 and c? 900 Let r(q) = 10*q - 8. Suppose -f = -2*g + 22, -4 = -3*f + 2. What is the least common multiple of r(g) and 32? 224 Let x be (-86)/(-301) - (-1 - (-5190)/(-112)). Let z = x + -10039/216. Find the common denominator of z and 80/21. 189 Suppose -u - 4*s + 257 = 0, -2 + 1 = s. What is the common denominator of 753/u - (-36)/(-27) and 45/7? 203 Let a = 6690/7 - 60700/63. Calculate the common denominator of a and 7048/648 - 70/7. 81 Suppose -8*d + 3*d + 1325 = 5*o, -4*o = -3*d + 788. Calculate the common denominator of -101/2 and ((-172)/d)/((-10)/30). 22 Suppose -22*w - 3053 = -24*w - h, -4*w = -3*h - 6101. Let n = 6103/4 - w. Let v = -1646 - -59213/36. Calculate the common denominator of v and n. 36 Suppose 0 = 170*p - 190*p + 4560. Calculate the smallest common multiple of p and 19. 228 Suppose 6*n + 3837 = 7722 - 3837. Let c(d) = -d**2 - 9*d + 1. Let i = -1 + -7. Calculate the least common multiple of c(i) and n. 72 Let r = -90 - -95. Suppose 5*u + 433 = 4*i, i - 6*u = -8*u + 118. What is the lowest common multiple of i and r? 560 Let k be 2 + (-6 - -4) + (-64)/(-4). Let h(i) = -i**3 + 15*i**2 + 16*i + 8. Calculate the lowest common multiple of 2 and h(k). 8 Let m(c) be the second derivative of c**3/3 - 7*c**2 + 17*c. Let w be m(9). Suppose 0 = 3*d + w - 10. What is the least common multiple of 18 and d? 18 Let i be 0 + 14 + 3/(3 - 6). What is the lowest common multiple of 24 and 3*i - (3 + -3)*1? 312 Let q = 104 - 70. Let t = 76 - q. What is the common denominator of (1 + 669/t)*(-1)/(-3) and 19/2? 14 What is the lowest common multiple of ((-39)/(-12))/((-3)/(-204)) and 2? 442 Let x(d) = d**3 - 6*d**2 - 4*d + 22. Let i be -4 - (6/2 - 1). Calculate the least common multiple of (-130)/i + 2/6 and x(8). 1298 Let j = 65 - 45. Suppose -69*g = -67*g - 150. Let k = g - 68. What is the lowest common multiple of k and j? 140 Let q = -1998/13 - -19057/130. Find the common denominator of q and (-28)/49 + 16857/15498. 1230 Let p = -4/873 - 2518/873. Find the common denominator of p and -47/792. 792 Calculate the common denominator of 139/140 and ((-4)/(-16)*-6 - 8)/(-18 - -4). 140 Find the common denominator of 138/(-46) - 26/(-24) and -27/452. 1356 Suppose 2*s - 41 + 1 = 0. Let k = -304 + 314. What is the smallest common multiple of ((-1456)/(-130))/(4/k) and s? 140 What is the common denominator of (-2 + -2)/24*-61 and 4/(-6) - ((-477)/90 - 1)? 30 Let y = -241 + 244. Suppose -246 = -y*b + 450. Calculate the smallest common multiple o
{ "pile_set_name": "DM Mathematics" }
ommon multiple of 432 and 9. 432 Calculate the least common multiple of 48 and 20. 240 Calculate the smallest common multiple of 25 and 4975. 4975 Calculate the common denominator of -47/57 and -93/190. 570 Find the common denominator of 24/25 and -57/55. 275 Calculate the common denominator of 53/738 and -11/16. 5904 What is the least common multiple of 56 and 77? 616 What is the lowest common multiple of 308 and 616? 616 Find the common denominator of -81/6830 and 43/115. 157090 What is the smallest common multiple of 5 and 10? 10 Find the common denominator of 83/70 and 77/6. 210 What is the lowest common multiple of 10 and 148? 740 Calculate the lowest common multiple of 2706 and 410. 13530 Find the common denominator of 57/602 and -21/86. 602 Calculate the smallest common multiple of 91 and 78. 546 Calculate the lowest common multiple of 642 and 20. 6420 Calculate the least common multiple of 24 and 132. 264 Calculate the least common multiple of 66 and 352. 1056 Calculate the lowest common multiple of 3648 and 608. 3648 What is the lowest common multiple of 9 and 144? 144 What is the common denominator of 27/20 and -5/108? 540 Calculate the least common multiple of 522 and 72. 2088 What is the least common multiple of 6 and 1229? 7374 What is the smallest common multiple of 2356 and 76? 2356 What is the common denominator of 29/2 and 43/224? 224 Calculate the smallest common multiple of 930 and 186. 930 Calculate the lowest common multiple of 60 and 84. 420 What is the lowest common multiple of 954 and 12? 1908 Calculate the lowest common multiple of 1610 and 12. 9660 Calculate the smallest common multiple of 232 and 8. 232 What is the smallest common multiple of 548 and 137? 548 What is the common denominator of -59/1300 and -19/35? 9100 What is the least common multiple of 1472 and 6? 4416 What is the common denominator of 13/24 and 109/180? 360 Calculate the common denominator of 42/379 and -101/4. 1516 What is the least common multiple of 1473 and 10? 14730 Calculate the lowest common multiple of 10 and 4. 20 Calculate the least common multiple of 416 and 728. 2912 Calculate the common denominator of -123/308 and 83/92. 7084 Find the common denominator of -25/2768 and 43/8. 2768 What is the smallest common multiple of 63 and 30? 630 What is the common denominator of -57/2570 and 53/2056? 10280 What is the least common multiple of 800 and 1100? 8800 Calculate the lowest common multiple of 66 and 22. 66 What is the common denominator of -57/134 and -31/38? 2546 Find the common denominator of 51/83 and -3/2905. 2905 What is the common denominator of -21/19 and -39/38? 38 What is the smallest common multiple of 72 and 120? 360 What is the common denominator of 61/9 and 38/39? 117 Calculate the common denominator of 21/22 and -95/1424. 15664 What is the common denominator of -5/696 and -49/116? 696 Find the common denominator of -31/20 and 57/5. 20 What is the common denominator of -67/78 and 59/104? 312 What is the lowest common multiple of 30 and 45? 90 Find the common denominator of 17/32 and 41/476. 3808 Calculate the least common multiple of 160 and 220. 1760 What is the common denominator of -149/36 and -47/20? 180 Calculate the smallest common multiple of 5491 and 2312. 43928 Calculate the smallest common multiple of 476 and 51. 1428 Find the common denominator of -121/90 and -5/24. 360 Calculate the common denominator of -17/520 and 12/65. 520 Find the common denominator of 37/120 and 32/35. 840 Calculate the common denominator of -26/847 and 137/462. 5082 Calculate the smallest common multiple of 13295 and 5. 13295 What is the smallest common multiple of 169 and 2? 338 What is the least common multiple of 450 and 198? 4950 What is the least common multiple of 27 and 21? 189 What is the least common multiple of 108 and 1200? 10800 Calculate the common denominator of 65/16 and 77/1084. 4336 Calculate the common denominator of -5/768 and 103/320. 3840 What is the common denominator of 13/298 and 41/22? 3278 What is the common denominator of -68/15 and 45/2? 30 Calculate the lowest common multiple of 16 and 60. 240 What is the common denominator of 5/19424 and -149/12? 58272 Find the common denominator of 55/21 and -67/273. 273 What is the lowest common multiple of 2 and 146? 146 What is the common denominator of -41/100 and 23/24? 600 What is the lowest common multiple of 8 and 326? 1304 What is the least common multiple of 22 and 4276? 47036 What is the lowest common multiple of 93 and 7? 651 Calculate the common denominator of 97/126 and 103/210. 630 Calculate the least common multiple of 52 and 40. 520 Find the common denominator of 43/3969 and -50/39. 51597 Calculate the common denominator of -73/196 and -91/32. 1568 What is the common denominator of -131/132 and -43/3300? 3300 Calculate the common denominator of 107/24 and 71/296. 888 What is the lowest common multiple of 3402 and 18? 3402 What is the lowest common multiple of 30 and 615? 1230 What is the least common multiple of 5468 and 5? 27340 Calculate the smallest common multiple of 21 and 3774. 26418 Calculate the least common multiple of 6 and 6. 6 Calculate the smallest common multiple of 225 and 3. 225 Calculate the least common multiple of 226 and 80. 9040 Find the common denominator of 113/264 and 25/132. 264 Find the common denominator of 137/18 and 95/16. 144 What is the common denominator of 37/786 and -71/66? 8646 Calculate the common denominator of -79/6 and -3/16. 48 What is the least common multiple of 957 and 3190? 9570 What is the lowest common multiple of 60 and 96? 480 What is the common denominator of -157/264 and -89/66? 264 What is the least common multiple of 4104 and 4? 4104 Calculate the smallest common multiple of 6 and 2412. 2412 What is the smallest common multiple of 20822 and 1? 20822 What is the smallest common multiple of 659 and 5? 3295 Find the common denominator of -95/4 and -63/142. 284 What is the common denominator of -31/90 and 45/8? 360 What is the least common multiple of 5346 and 378? 37422 Calculate the common denominator of -85/6 and 61/102. 102 Find the common denominator of 119/36 and 81/26. 468 Calculate the common denominator of 121/40 and 23/668. 6680 Find the common denominator of 91/7704 and -145/42. 53928 What is the common denominator of 101/3090 and 26/3? 3090 What is the least common multiple of 15 and 1489? 22335 Calculate the smallest common multiple of 11 and 193. 2123 What is the least common multiple of 42 and 516? 3612 What is the smallest common multiple of 111 and 111? 111 Calculate the common denominator of -89/154 and -21/506. 3542 Calculate the lowest common multiple of 114 and 48. 912 Find the common denominator of 7/15 and 19/18. 90 What is the common denominator of 14/249 and 131/156? 12948 Calculate the lowest common multiple of 1203 and 20. 24060 What is the least common multiple of 996 and 4? 996 Find the common denominator of 51/872 and 33/28. 6104 Calculate the common denominator of -89/12 and 81/22. 132 Calculate the lowest common multiple of 88 and 976. 10736 Calculate the common denominator of 137/30 and -3/734. 11010 Calculate the common denominator of -73/2178 and -40/99. 2178 Find the common denominator of 115/1734 and -157/204. 3468 What is the common denominator of 52/11 and 37/151? 1661 Calculate the smallest common multiple of 400 and 70. 2800 Calculate the smallest common multiple of 99 and 33. 99 What is the common denominator of -109/5456 and -53/24? 16368 What is the least common multiple of 56 and 88? 616 Calculate the smallest common multiple of 80 and 128. 640 Calculate the common denominator of -93/8 and -5/31. 248 What is the least common multiple of 35 and 140? 140 What is the common denominator of -29/9 and -121/312? 936 Calculate the common denominator of -23/112 and 53/968. 13552 What is the common denominator of 35/16 and -1/6238? 49904 Calculate the lowest common multiple of 106 and 22. 1166 Calculate the common denominator of -79/714 and 151/84. 1428 Find the common denominator of 17/75 and -32/35. 525 Find the common denominator of -17/44 and 45/292. 3212 Calculate the common denominator of -191/3420 and 53/1368. 6840 Find the common denominator of -5/4209 and -67/549.
{ "pile_set_name": "DM Mathematics" }
) = -r**2. Calculate s(h(b)). -3*b**2 Let g(s) = 2*s - 36. Let m(l) = 2*l**2. Give m(g(h)). 8*h**2 - 288*h + 2592 Let o(w) = 3*w. Let h(y) be the second derivative of -5*y**4/12 - 6*y. Give h(o(g)). -45*g**2 Let v(h) be the second derivative of h + 0 + 0*h**2 + 0*h**3 + 5/12*h**4. Let o(g) = -2*g. What is v(o(i))? 20*i**2 Let t(a) = -2*a. Let h(s) = 5*s**2 + 3*s - 3. Let b(n) = -4*n**2 - 2*n + 2. Let w(c) = -6*b(c) - 4*h(c). Calculate w(t(o)). 16*o**2 Let x = -6 - -16. Let k(q) = -2*q - 34. Let z be k(-18). Let d(l) = 22*l**z - x*l**2 - 8*l**2. Let b(n) = -3*n**2. Calculate d(b(t)). 36*t**4 Let h(d) = 2*d**2. Let r(o) = 66*o**2. Give r(h(l)). 264*l**4 Let s(m) = 2*m - 6. Let b(f) = 4*f - 11. Let h(c) = -6*b(c) + 11*s(c). Let u(q) = -3*q. Determine h(u(i)). 6*i Let t(w) = -w - 3. Let o(h) = -2. Let x(m) = 3*o(m) - 2*t(m). Let c(k) be the first derivative of k**2 - 3 + 1 - 1. What is x(c(s))? 4*s Let m(k) = -90*k**2. Let l(o) = o - 21. Give m(l(s)). -90*s**2 + 3780*s - 39690 Let v(n) = n**2 - 2*n**2 + 4*n**2. Suppose 4*p - 9 = 2*l + 7, 2*l + 12 = 2*p. Let y(m) = 1 - 1 + p*m. Give v(y(d)). 12*d**2 Let a(x) = 77*x**2. Let g(i) = -9*i**2. Determine g(a(w)). -53361*w**4 Let j(b) = -168*b - 1. Let k(a) = 6*a. Determine k(j(o)). -1008*o - 6 Let s(a) = 8*a**2. Let v(o) = -o**2 - o. Let j(g) = -10*g**2 - 3*g. Let m(n) = j(n) - 3*v(n). Let i(h) = 7*m(h) + 6*s(h). Let c(z) = -z. Calculate i(c(l)). -l**2 Let d(w) = -11*w. Let t(s) = -44*s. Let u(i) = 9*d(i) - 2*t(i). Let o(x) = -4*x. Calculate u(o(l)). 44*l Let m(q) = -3*q + 5*q + 8*q. Let t(r) = -3*r**2. What is m(t(b))? -30*b**2 Let z(k) = -77*k**2. Let b(m) = -m. Give z(b(u)). -77*u**2 Let t(h) be the third derivative of -h**5/60 - 2*h**2 - 3*h. Let l(z) = -44*z. Determine l(t(g)). 44*g**2 Let a(m) = -m - 605. Let x(o) = -2*o**2. Calculate a(x(c)). 2*c**2 - 605 Let l(n) = 10*n**2 + 15. Let y(f) = 2*f**2. Give y(l(z)). 200*z**4 + 600*z**2 + 450 Let g be 4/(-2)*3/(-2). Suppose 0 = -2*t + 7 - 3. Let h(y) = g*y**2 - 3*y**2 - y**t. Let a(s) = -s. Calculate h(a(u)). -u**2 Let j be 4/(-1) + 0 + 4. Let v(o) be the third derivative of j + 0*o + 1/12*o**4 + 0*o**3 + o**2. Let m(l) = 2*l. What is v(m(b))? 4*b Let s(d) = -d + 10. Let a(l) = 25*l**2 + 2*l. What is s(a(t))? -25*t**2 - 2*t + 10 Let y be -2 + ((-12)/(-4) - -1). Let q(m) = -3*m**2 + 0*m**2 + 7*m**2 - 2*m**y. Let h(j) = 4*j**2. Calculate q(h(r)). 32*r**4 Let r(s) = -2*s**2. Suppose -c = c - 4. Let m(d) = 0*d**2 + 0*d**2 - 3*d**2 - 2*d**c. What is r(m(a))? -50*a**4 Let f(x) = x**2 + 0*x**2 - 2*x**2. Let r(c) be the first derivative of c**2 - 5. Give r(f(h)). -2*h**2 Let y(u) = -29*u**2 - 3*u. Let l(d) = 57*d**2 + 5*d. Let h(t) = -3*l(t) - 5*y(t). Let b(i) = -i. Give b(h(c)). 26*c**2 Let g(s) = -10*s - 14. Let r(u) = 2*u + 3. Let c(x) = 3*g(x) + 14*r(x). Let l(z) = -6 - 6 + 12 - 3*z. What is l(c(f))? 6*f Let t(s) = 2*s. Let i = -3 + 4. Let y(u) = u**2 + 2*u - 1. Let w be y(i). Let k(h) = h**2 - 6*h**2 + w*h**2. What is k(t(p))? -12*p**2 Let y(z) = z**2. Let t(n) = 18*n**2. Let s(a) = -t(a) + 15*y(a). Let c(k) be the first derivative of -k**3/3 + 3. Determine s(c(h)). -3*h**4 Let w(u) = 56*u. Let x(b) = 8*b**2. What is x(w(f))? 25088*f**2 Let m(b) = -5*b + 3. Let l(k) = 6*k - 4. Let q(w) = 3*l(w) + 4*m(w). Let z(n) = -1 - 2*n**2 + 1. Determine q(z(x)). 4*x**2 Let j(q) = 9*q. Let r(d) = -6*d. Calculate j(r(u)). -54*u Let i(g) = 2*g**2. Suppose 20 = a + 3*a. Suppose -19 = -a*o + 6. Let w(r) = -o*r - r + r + 2*r. Determine i(w(s)). 18*s**2 Suppose -79 = -5*t - 5*d + 91, -9 = -t + 4*d. Let y(p) = -29*p + 2*p**2 + t*p. Let o(h) = 4*h**2. Calculate o(y(k)). 16*k**4 Let u be (-66)/(-14) + 2/7. Let f(r) = 4*r**2 - 5. Let l(h) = -2*h**2 + 2. Let y(p) = u*l(p) + 2*f(p). Let t(q) = -q**2. Determine t(y(x)). -4*x**4 Let u(b) = -b + 1861. Let k(o) = 3*o**2. Give u(k(t)). -3*t**2 + 1861 Let c(f) = -2*f - 3. Let z(a) = -3*a - 5. Let b(l) = 5*c(l) - 3*z(l). Let n(i) be the third derivative of -i**4/12 - i**2. What is b(n(y))? 2*y Let h(y) = -32*y. Let a(i) = 4*i + 6. What is h(a(o))? -128*o - 192 Let t(g) be the second derivative of g**6/360 + g**4/12 + 3*g. Let x(b) be the third derivative of t(b). Let r(i) = -i. What is r(x(u))? -2*u Let t(a) = a**2. Let n(j) = -7*j**2 + 8*j**2 - 4*j**2. Let h(r) = -n(r) - 6*t(r). Let k(v) = 3*v. Calculate h(k(l)). -27*l**2 Let g(f) = -7*f. Let s(h) = -6*h. Let m(i) = 4*g(i) - 5*s(i). Let w(j) be the first derivative of -2*j**3/3 - 4. What is m(w(p))? -4*p**2 Let b(r) = -r. Let v(a) be the third derivative of 5*a**4/24 + 16*a**2. Determine b(v(k)). -5*k Suppose -f + 14 = -3*l, 10 + 2 = -3*l. Let p(o) be the first derivative of 0*o - 3 - 1/3*o**3 + 0*o**f. Let q(v) = 2*v. Give p(q(y)). -4*y**2 Let h(q) = -2*q**2. Let w(y) = 1249*y. Give w(h(t)). -2498*t**2 Let n(f) = 261*f. Let p(b) = -4*b. Determine p(n(c)). -1044*c Let y(m) = 2*m**2 - 3*m - 3. Let s(a) = -2*a**2 + 4*a + 4. Let l(j) = -3*s(j) - 4*y(j). Let p(k) = -10*k. Calculate p(l(c)). 20*c**2 Let f(h) = h**2. Let x(w) = 2102*w. Give f(x(c)). 4418404*c**2 Let p(t) = 6*t**2 - 10*t + 5. Let r(l) = -2*l**2. Give p(r(d)). 24*d**4 + 20*d**2 + 5 Let j be 2/1*5/2. Let y(k) = 0*k**2 - 2*k**2 - 4*k + j*k**2. Let o(r) = 15*r**2 - 21*r. Let t(g) = 4*o(g) - 21*y(g). Let a(u) = -2*u**2. Give a(t(x)). -18*x**4 Let a(v) = 11*v**2. Let u(m) = 13*m**2 - 7*m**2 - 8*m**2. Calculate u(a(y)). -242*y**4 Let t(x) = x**2. Let o(z) = -9360*z**2. Calculate o(t(y)). -9360*y**4 Let j = -3 - -5. Let n(p) be the first derivative of 0*p + j + 1/2*p**2. Let t(a) = -4*a. What is t(n(q))? -4*q Let b(r) = -320*r. Let o(q) = 3*q. Calculate o(b(u)). -960*u Let y(w) = 178*w**2. Let t(r) = -20*r. Calculate y(t(b)). 71200*b**2 Let i(v) = -v**2. Let o(u) = -u + 3*u - 6*u. Let a(n) = 4*n. Let f(w) = -4*a(w) - 3*o(w). What is i(f(p))? -16*p**2 Let h = -18 - -18. Let v(s) be the third derivative of 1/12*s**4 + 0*s**3 + 0 + s**2 + h*s. Let q(l) = -l. Calculate v(q(d)). -2*d Suppose -5*o + 32 = 27. Let f(l) = -o - l**2 + 1 + 4*l**2. Let w(c) = -3*c**2. Calculate w(f(s)). -27*s**4 Let j(y) = -2*y. Let m(n) = 58*n - 1. Calculate j(m(i)). -116*i + 2 Let j = 0 + 4. Let n(d) = -3*d**2 + 5. Let a(p) = -2*p**2 + 4. Let o(c) = j*n(c) - 5*a(c). Let f(r) = 2*r. Give o(f(w)). -8*w**2 Let b(t) = t**2. Let k(w) be the second derivative of 3*w**3 + w. What is b(k(h))? 324*h**2 Let h(m) be the second derivative of 0*m**3 + 1/12*m**4 + 0 + 0*m**2 - 4*m. Let j(t) be the third derivative of -t**4/8 + t**2. Give h(j(w)). 9*w**2 Let b(c) = c. Let y(l) be the third derivative of -l**4/4 - 8*l**2. Determine y(b(f)). -6*f Let w(n) = 29*n**2. Let p(a) = 19*a**2. Calculate w(p(b)). 10469*b**4 Let s(q) be the second derivative of 0 - 1/12*q**4 + 2*q + 0*q**2 + 0*q**3. Let k(x) = -1. Let p(g) = g - 1. Let c(u) = -3*k(u) + 3*p(u). What is c(s(j))? -3*j**2 Let g(k) = k. Let h(v) = -9*v. Let o(b) = b. Let p(i) = -h(i) - 4*o(i). Determine p(g(t)). 5*t Let f(u) = 783*u**2. Let z(b) = 3*b**2. Calculate f(z(k)). 7047*k**4 Let q(j) = 20*j**2 + 28*j**2 - 4*j**2. Let x(v) = 2*v. Give x(q(z)). 88*z**2 Let z(b) = -11*b**2. Let j(v) = -v - 20. Determine z(j(y)). -11*y**2 - 440*y - 4400 Let s(m) = 8 + 7 - 13 - 6*m + 4*m. Let t(g) = g**2 - 5*g + 5. Let d(h) = 5*s(h) - 2*t(h). Let w(b) be the first derivative of -b**2/2 + 1. Calculate w(d(u)). 2*u**2 Let g(l) = 508 + l - 508. Let y(f) = 5*f**2. Give y(g(x)). 5*x**2 Let q(r) = 13*r**2 - 42*r**2 + 16*r**2 + 11*r**2. Let b(h) = 8*h. Let c(o) = -7*o. Let m(t) = t + 1. Let l be m(5). Let i(n) = l*b(n) + 7*c(n). Give q(i(a)). -2*a**2 Let u(x) = -2*x**2. Let y(h) = 3*h + 0 - 2*h - 1. Let c(k) = k**2 + k - 1. Let v(g) = -c(g) + y(g). Determine u(v(l)). -2*l**4 Let u(v) = -21*v**2. Let q(z) = 5*z**2 - 8*z**2 + 5*z**2. Calculate q(u(a)). 882*a**4 Let h(o) = o**2 + 584. Let q(c) = c. Calculate q(h(d)). d**2 + 584 Let y(a) = 2*a**2. Let g(c) = 3*c - 5. What is y(g(o))? 18*o**2 - 60*o + 50 Let p(z) = 4*z**2. Let y(h) = 7*h - 13*h + 4*h. Calculate p(y(x)). 16*x**2 Let v(x) = -2*x. Let k(n) = -8*n**2 + 5*n. Let f(p) = 9*p**2 - 6*p. Let o(h) = 5*f(h) + 6*k(h). Calculate v(o(m)). 6*m**2 Let v(h) be the second derivative of -h**3/3 + 2*h. Let g(x) be the third derivative of 0*x + 0*x**3 - x**2 - 1/30*x**5 + 0 + 0*x**4. What is g(v(i))
{ "pile_set_name": "DM Mathematics" }
months? 51000 How many kilometers are there in 457.3206 millimeters? 0.0004573206 Convert 80493.86ml to litres. 80.49386 How many milliseconds are there in three eighths of a second? 375 How many milliseconds are there in 59742.65 minutes? 3584559000 How many months are there in 11/4 of a millennium? 33000 How many centimeters are there in one sixteenth of a kilometer? 6250 How many centimeters are there in one quarter of a meter? 25 What is 792.0096 days in hours? 19008.2304 Convert 47.266 hours to microseconds. 170157600000 Convert 47721.75 years to centuries. 477.2175 How many decades are there in 0.8102483 centuries? 8.102483 How many millilitres are there in seven halves of a litre? 3500 How many hours are there in 36.235476 microseconds? 0.00000001006541 How many millimeters are there in 246471.9m? 246471900 What is 212091.9 months in years? 17674.325 What is 74/5 of a hour in seconds? 53280 Convert 983.9037 litres to millilitres. 983903.7 What is 6/25 of a millimeter in micrometers? 240 What is 3/16 of a day in seconds? 16200 How many millilitres are there in 53.00915l? 53009.15 How many millilitres are there in 32/5 of a litre? 6400 How many kilograms are there in 1492.157t? 1492157 How many months are there in 32/5 of a millennium? 76800 What is 13/5 of a centimeter in micrometers? 26000 How many seconds are there in ten ninths of a hour? 4000 What is 133.930206 microseconds in days? 0.000000001550118125 Convert 931.5826 kilometers to centimeters. 93158260 Convert 4834.1988 microseconds to days. 0.000000055951375 How many kilometers are there in 835.9947nm? 0.0000000008359947 What is 39209.04 litres in millilitres? 39209040 How many milliseconds are there in 1/20 of a minute? 3000 What is 594.0917 micrograms in kilograms? 0.0000005940917 Convert 826549.2m to nanometers. 826549200000000 Convert 0.6388022 centuries to decades. 6.388022 How many millilitres are there in fifty-three quarters of a litre? 13250 How many millilitres are there in eighty-one quarters of a litre? 20250 What is 0.6922242ml in litres? 0.0006922242 Convert 8135.338 nanometers to millimeters. 0.008135338 What is 143341.74 months in millennia? 11.945145 How many nanometers are there in 1.493812km? 1493812000000 How many kilograms are there in 8/25 of a tonne? 320 What is 3/7 of a week in days? 3 What is 61.828445 days in weeks? 8.832635 How many micrometers are there in 3/25 of a millimeter? 120 What is 3/25 of a meter in centimeters? 12 How many nanometers are there in one fifth of a micrometer? 200 How many months are there in 11.2127 decades? 1345.524 How many tonnes are there in 6053.717g? 0.006053717 How many seconds are there in fifty-one halves of a minute? 1530 What is 19/4 of a minute in seconds? 285 Convert 901.7829 millilitres to litres. 0.9017829 What is 67/4 of a day in minutes? 24120 How many millilitres are there in 368.8362 litres? 368836.2 What is 9/10 of a hour in minutes? 54 What is 2/15 of a millennium in months? 1600 How many grams are there in 64/5 of a kilogram? 12800 What is 11/2 of a decade in years? 55 What is 48/5 of a litre in millilitres? 9600 How many kilograms are there in 3/8 of a tonne? 375 What is twenty-one halves of a decade in months? 1260 What is eighteen fifths of a litre in millilitres? 3600 How many centimeters are there in 0.8014721 micrometers? 0.00008014721 What is ninety-five halves of a kilogram in grams? 47500 How many millilitres are there in 3/25 of a litre? 120 What is 70.62449 meters in millimeters? 70624.49 How many tonnes are there in 37502.48kg? 37.50248 How many decades are there in 54/5 of a millennium? 1080 What is 34/5 of a millennium in years? 6800 Convert 0.9024964 millennia to years. 902.4964 How many seconds are there in 45.14214 minutes? 2708.5284 What is 21/2 of a century in years? 1050 How many kilograms are there in five quarters of a tonne? 1250 What is 30.13188 grams in milligrams? 30131.88 What is 3/40 of a milligram in nanograms? 75000 How many micrograms are there in seven halves of a milligram? 3500 What is 707.0643 centimeters in micrometers? 7070643 How many microseconds are there in 69453.01 weeks? 42005180448000000 What is 0.5771624ns in milliseconds? 0.0000005771624 What is 1/10 of a micrometer in nanometers? 100 How many millilitres are there in 21/5 of a litre? 4200 What is one fifth of a week in minutes? 2016 What is eight fifteenths of a decade in months? 64 How many millilitres are there in 0.8063658 litres? 806.3658 How many grams are there in seventy-one fifths of a kilogram? 14200 How many nanograms are there in twenty-one halves of a microgram? 10500 What is 16/15 of a minute in milliseconds? 64000 Convert 43597.89 weeks to seconds. 26368003872 What is seventy-six fifths of a meter in centimeters? 1520 What is 93154.22 kilograms in milligrams? 93154220000 What is 7.994568 months in years? 0.666214 How many micrograms are there in 6/25 of a milligram? 240 What is 32.8646052 nanoseconds in weeks? 0.000000000000054339625 How many milligrams are there in eleven quarters of a gram? 2750 What is 102.3809 centimeters in nanometers? 1023809000 How many micrometers are there in eighteen fifths of a centimeter? 36000 How many micrograms are there in 3/50 of a milligram? 60 Convert 1.059641m to nanometers. 1059641000 What is eighty-one halves of a century in months? 48600 How many months are there in twenty-seven quarters of a decade? 810 How many years are there in 2.6375856 months? 0.2197988 What is five eighths of a day in seconds? 54000 How many decades are there in 6.583711 centuries? 65.83711 Convert 963899.4kg to milligrams. 963899400000 What is 9534.371ml in litres? 9.534371 How many microseconds are there in seven quarters of a millisecond? 1750 What is 3/10 of a kilogram in grams? 300 What is 622317.9 minutes in hours? 10371.965 How many nanometers are there in 835929.9um? 835929900 How many microseconds are there in 6/25 of a millisecond? 240 How many decades are there in sixty-nine halves of a millennium? 3450 How many millimeters are there in one twentieth of a kilometer? 50000 What is 67/4 of a litre in millilitres? 16750 Convert 31497.45ml to litres. 31.49745 How many grams are there in fifteen quarters of a kilogram? 3750 Convert 71.30946 litres to millilitres. 71309.46 What is twenty-six fifths of a tonne in kilograms? 5200 Convert 730.592 milliseconds to seconds. 0.730592 How many millimeters are there in 9111.05 meters? 9111050 How many nanograms are there in 3/10 of a microgram? 300 Convert 76869.414 minutes to days. 53.3815375 What is 17/2 of a kilogram in grams? 8500 What is 5.204131 centuries in millennia? 0.5204131 What is 431043.5 litres in millilitres? 431043500 What is 2135.272 minutes in seconds? 128116.32 How many litres are there in 737.3863 millilitres? 0.7373863 How many micrograms are there in 56.15236t? 56152360000000 What is twenty-seven halves of a kilogram in grams? 13500 What is 0.678066kg in grams? 678.066 What is 1/5 of a milligram in micrograms? 200 How many meters are there in one fifth of a kilometer? 200 How many micrograms are there in 44/5 of a milligram? 8800 What is 3/40 of a litre in millilitres? 75 What is thirty-seven halves of a meter in centimeters? 1850 What is four thirds of a millennium in months? 16000 How many kilometers are there in 0.1630813mm? 0.0000001630813 How many millilitres are there in 5.505411 litres? 5505.411 Convert 30.9725ml to litres. 0.0309725 How many months are there in 29/2 of a year? 174 What is 2448.569l in millilitres? 2448569 What is seventy-seven fifths of a millennium in years? 15400 What is three eighths of a milligram in micrograms? 375 What is 46/5 of a millennium in centuries? 92 What is one tenth of a milligram in nanograms? 100000 How many millilitres are there in twenty-one quarters of a litre? 5250 What is 6/25 of a millennium in years? 240 What is 3/50 of a milligram in nanograms? 60000 What is one quarter of a gram in milligrams? 250 What is 11/8 of a tonne in kilograms? 1375 What is 3352.1229 milliseconds in days? 0.00003879771875 What is 507.0971 hours in nanoseconds? 1825549560000000 How many millilitres are there in three eighths of a litre? 375 Convert 122.3556 micrometers to centimeters. 0.
{ "pile_set_name": "DM Mathematics" }
-3*v, -v - 2*v = 3*n - d for n. 1 Let n(u) = -53*u - 308. Let h(s) = 54*s + 308. Let p(q) = -2*h(q) - 3*n(q). Let i be p(-6). Solve -g - 8 = -4*a, -4*a = -i*a + 5*g - 26 for a. 3 Suppose 381*j = -22*j + 2015. Solve 20 = 5*u + j*g, -3*g = -2 - 1 for u. 3 Suppose 4*h = -5*o, h - 3*h - 3*o = 2. Let r be (-12)/(-54) - 852/(-54). Suppose i + 4 = 2*i. Solve h*u - r = -j, -2*u - j + i = -0 for u. 4 Suppose -13 = -4*q - 4*r + r, -5*q = 2*r - 18. Solve 3*i + q*h = i - 10, -i + 3*h = -15 for i. 3 Let h(r) = -7*r - 228. Suppose -w - 3*g + 4 - 22 = 0, -2*w - 3*g = 51. Let j be h(w). Solve j*s = -0*s + 5*o - 1, 5*o = -3*s + 19 for s. 3 Let h be -2 + ((-20)/35)/(14/(-98)). Solve 2*x = -3*c - 10, h*c = -41*x + 37*x - 4 for x. 1 Let k(w) = -w**3 - 11*w**2 + 10*w - 22. Let p be k(-12). Suppose 46 - 166 = -24*v. Solve -g - v*h = -24, g + 8 = -p*g + 5*h for g. 4 Suppose d - 12 = -11, 4*d = -4*h - 164. Let c = h + 47. Solve 2*u = -g, 3 = -5*u + 4*g - c*g for u. -1 Let y = -20 - -24. Suppose 0 = -73*o + 71*o + 4. Solve 2*k = 3*m - 15, -o*m = -k + y*k + 3 for m. 3 Let w(y) = -y**2 + 12*y - 34. Let v be (-5)/(175/(-217)) - (-1)/(-5). Let t be w(v). Let l = 0 - -3. Solve -l*x - x = 5*b - 10, 0 = -t*x for b. 2 Suppose 5*d - 546 = -576. Let k be (-10*(-1)/d)/(10/(-18)). Solve -3*w = -8*w, k*w + 12 = 3*g for g. 4 Let b be ((-8)/12 - 4602/(-18)) + -7 - 5. Solve 5*x - 4*d - 5 = 0, -x - 238*d - 20 = -b*d for x. 5 Let a(u) = -9*u**3 + u**2 - 3*u + 2. Let k(d) = d**3 - d + 1. Let h(i) = -a(i) - 5*k(i). Let n be h(1). Solve -9 = -5*j - 3*b, 3*j - n = -j - 4*b for j. 3 Let s = -407 - -1394. Suppose -5*l = 972 - s. Solve 5*k = l*g + 32, g - k + 5 + 3 = 0 for g. -4 Let w be 19893/3839 + (-1)/((-33)/(-6)). Suppose -5*o + 0*o + 20 = 0, 0 = 4*g - 4*o. Solve 2*d + j + 12 = -j, -3 = -g*d + w*j for d. -3 Suppose 329*r = 327*r - 4*x + 4, -3*r + 14 = -2*x. Solve 2*y - n = 3*y + 2, 5*y - r*n = -19 for y. -3 Suppose 5*n = -5*r + 10, 0 = -2*n + 248*r - 247*r + 10. Solve n*g + 36 - 48 = 4*v, 5*v = 0 for g. 3 Let b(t) = 2*t**2 + t + 2. Let y be b(-2). Suppose 27 = y*c + c. Solve -d - 2*x + 7*x - 20 = 0, x + 10 = c*d for d. 5 Let n(v) = -v**3 - 15*v**2 - v. Let u = 56 + -71. Let m be n(u). Solve -3*d + m = 0, 2*d + d = -2*p + 5 for p. -5 Suppose 22*k - 21*k = 140. Suppose -8*y - k = -156. Solve y + 5 = -5*m + 3*b, -2*m - 2*b - 6 = 0 for m. -2 Let v(p) = p**2 + p - 25. Let l be v(0). Suppose 4*x = 5*u + 113, -4*x + 2 - 39 = u. Let g = l - u. Solve 2*o - 4*j + 6 = g, -2*j = o + 2*o + 1 for o. -1 Suppose 31*q - 2016 = -q. Suppose -72 = -45*m + q. Solve -3*w = -m*r + 4*r - 3, 15 = 2*w + 5*r for w. 0 Let a be -2*((-9)/2 - -1). Suppose -28 = -52*h + 804. Suppose a*u - h = 3*u. Solve -2*r + 4*c - 4 = -u*r, 5*r = -3*c + 17 for r. 4 Suppose 112 - 52 + 185 = 35*l. Solve -4*p + 4*m - 11 = -l*p, 2*m + 22 = 4*p for p. 5 Let o be (-3 - 1)/((-4)/(-6)). Let k(j) = 7*j - 56. Let y be k(9). Let b = y - o. Solve -4 = -5*m + 3*n + b, 3*n = -12 for m. 1 Let d(n) be the first derivative of n**4/2 + n**3/3 - 2*n**2 - 6*n + 68. Let v be d(2). Solve 0 = -5*a + v*j - 2*j + 37, 5*a - 3*j = 34 for a. 5 Let c be (4 + (-54)/12)*(-11 + 1). Solve 2*x - c*x + l = -11, 0 = 2*x - 4*l + 6 for x. 5 Suppose 3*y + 13 = 3*v + 2*y, 0 = v - y - 3. Solve 2*s - 50*q + 48*q - 8 = 0, s = v*q for s. 5 Let a be 37 + (602/(-98) - (-2)/14). Let c(u) = -u**3 - 3*u**2 + 2*u. Let q be c(-4). Suppose -3*i = -7 - q. Solve -i*v - a = 4*f, -4*v = -3*f - 2*v - 6 for f. -4 Let w = 2729 + -2714. Solve 3*m = 4*l - 0*l + 9, 4*l - w = -5*m for m. 3 Suppose 5*n + 16*a = 14*a + 252, -2*n - 5*a + 84 = 0. Solve 2*f + 27 = 5*t, -4*t - 50*f + n*f = -22 for t. 5 Let j(a) = a**2 - 3*a + 10. Let v be j(0). Let x be 21 + 2/(v/5). Solve -b = -3, -b - x = 4*o - 3*b for o. -4 Let r = 5285 + -5285. Solve -2*y + 4 = -r*g + 2*g, 0 = -4*y + g + 13 for y. 3 Let w = -5366 + 5370. Suppose 4 = -4*a, 5*a - 1 = -4*p + p. Let f be (3*2)/(0 + p). Solve -f = o - 5, -w*o = -3*g + 1 for g. 3 Suppose -2 = w - 4. Suppose 0 = -12*m - 2*m. Suppose m*d = 11*d - 44. Solve -3*s = -2*x + 7, -d*x - 4 = -2*s + w for s. -5 Let s be -156*-1*(-8)/(-16). Let t = s - 78. Solve t = 5*g - a + 11 - 4, -3*g = -3*a - 3 for g. -2 Let w = -74 + 201. Let v = w + -127. Let s(l) = l**3 + 9*l**2 + 6*l + 4. Let y be s(-3). Solve -4*b + y = 4*k - v*b, 3*k = 4*b - 5 for k. 5 Let p(x) = -2*x**3 - 2*x**2 - x + 1. Let d be p(-1). Suppose 2*t = -4*y - 6, -d*t - 2 - 1 = 3*y. Solve -t*g = -4*n + 17, -4*g + n + 3 = 4 for g. 1 Let a be 6/18*21 - (-14 + -7 + 15). Solve u = -4*q + 6, 1 = 4*q + 5*u - a for q. 1 Let q(h) = 103*h + 209. Let c be q(-2). Solve 5*k + 0*g = g + 19, 9 = -k - c*g for k. 3 Suppose -216 = 2*l + 3*a - 46, 4*l + 3*a = -334. Let x = 80 + l. Let p be (-44)/(-8) - x/(-4). Solve -2*w + p*n - 27 = -0*n, n = 3*w + 8 for w. -1 Let t be 13/2 + 28/(-56) + -1 + 5. Suppose o + 15 = 6*o. Solve o*c - 2*c = 3*j + t, -c + 2*j = -8 for c. 4 Suppose -2*q = -2*h + 29 - 25, q + 2*h = 10. Solve -q*o = 5*w, 0 = 3*w - 8*o + 6*o - 16 for w. 2 Suppose k = -4*z + 48, 0*k + 252 = 4*k + 4*z. Let n be (-8)/k + 1200/85. Solve -5*f - n = -2*l, -4 = -3*l - f - 0 for l. 2 Suppose -90 = 14*p - 15*p - b, -3*b = p - 98. Suppose 14 = -36*f + p. Solve -s + 3*t + f = -0*s, 0 = s - 5*t - 6 for s. -4 Let q(k) = 17*k + 310. Let i be q(-18). Solve 4*d + 4*u - i = 0, -5*u + 0*u - 2 = -2*d for d. 1 Suppose -f - 3*i - 11 + 64 = 0, -3*i + 230 = 4*f. Suppose 3*o - f = -2*g, -5*g + 24 = 2*o - 19. Let j = -17 + o. Solve j*q - 8 = -s, 5*q - 5 = 4*q for s. -2 Let j = -600 + 607. Solve 0 = -o - p - j + 4, 0 = 2*o - p for o. -1 Suppose -133*b + 976 = -221. Solve -5*x = u - 18, 0 = 3*x + b*u - 11*u - 3 for x. 3 Let u = 35 - 82. Let i = u + 52. Let t(m) = -m**2 + 7*m - 7. Let n be t(i). Solve 0 = -4*h - 3*w + 2*w - 3, 4*h - n*w = -23 for h. -2 Suppose 0 = -7*b - 5*b - 2556. Let h = -202 - b. Solve -4*k + 27 - 6 = -w, 0 = -4*k - w + h for k. 4 Let b(u) = u**3 + 25*u**2 + 25*u + 24. Let n be b(-24). Let r be (n/(-2))/((-3)/((-21)/28)). Solve -5*d - g - 8 = r, -3*g + 2*g = 3 for d. -1 Let a = 11831 - 11829. Solve -3*f = a*u - 11, 4*u + 7 = -2*f + 1 for f. 7 Let w = 11 + 157. Let a = w + -163. Solve -s - a*o - 23 + 7 = 0, 5*o = -3*s - 8 for s. 4 Suppose 0 = -6*k + 5 + 7. Suppose -14*d + 13*d - 4 = -3*v, 4*v - k*d - 8 = 0. Solve v = -0*p - 5*p + 2*c - 21, -4 = 2*p - 3*c for p. -5 Suppose 0 = -15*k - 4*k + 855. Suppose 8*y = -y + k. Let f = 37 + -6. Solve 0 = 3*n + y*p + f, 4*p + p = 5*n - 15 for n. -2 Suppose -m = 5*v - 6*m - 25, 0 = -3*m - 9. Let f = 92 - 88. Let z be (f/4)/(4/8). Solve z*y + 2 = -v*s - 6, -4*y = s + 7 for y. -1 Suppose 2*q + 2*i + 487 = -q, -5*q + 4*i = 819. Let f = -161 - q. Solve 2*j - 2 = 2*o, -2*o + o + 1 = -f*j for o. -3 Suppose -339 - 81 = -102*f - 38*f. Solve 5 = 2*g + 5*i, 4*i = -f*g - 5 + 2 for g. -5 Let g = -1682 + 1685. Solve -6 + 1 = g*x + s, 2*x - 3*s = -7 for x. -2 Suppose 3*g - 4*y - 11 = 0, 0*y - 8 = -g - 3*y. Suppose -g*t + 0 = -30. Let x be 6/9 + 20/t. Solve -17 = -3*h + 6*h + 4*a, 0 = x*h + 3*a + 11 for h. 1 Suppose 0 = -69*q + 46*q + 690. Suppose 7*c = 22*c - q. Suppose -3*s = 2*z + 1 + 11, -2*z + 20 = -5*s. Solve 3*r + 2*o = 0, z*r - 16 = c*r - 4*o for r. -2 Suppose -71 + 517 = 104*n + 30. Solve w + 10 = 5*d - 7, -n*d = -3*w - 18 for d. 3 Suppose 0*m = -3*m + 114. Let o = m + -37. Let j be (-1)/(39/(-36) + o). Solve 5*l = f - 14, 0 = -0*f + 3*f - 5*l - j for f. -1 Let x = -10661 + 10665. Solve x = -5*g - 4*i, 5*g - 8*g - 2*i - 2 = 0 for g. 0 Let g be (52 + 2)*(5 + 27/(-6)). Suppose g*v - 5 = 22*v. Let l be 0 + 6 - (v + -2). Solve -4*h - 19 = -d, h - l = -3*d + 3*h for d. -1 Suppose 4*a - 3 = -5*t, -2*a - 17 = -5*t + 4. Let y = t + 2. Let m(w) = -27*w - 200. Let f be m(-8). Solve -4*k + f = 0, -15 = -d - y*k + 2 for d. -3 Suppose 30 = -2*i + 5*w - 32, -59 = 3*i + w. Let t be (-8)/(-13 - i)*-1*1. Solve 3*d = -t - 2, 1 = -4*h + 3*d for h. -1 Let z(s) = -s**2 + 22*s - 37. Let y be z(2). Solve 0 = -3*f + y*v - 18, 5*f + 38*v = 33*v - 30 for f. -6 Let g = -2 + 4. Suppose 223 = -5*f - 4*c + 671, -2*f + 4*c + 168 = 0. Let r = 93 - f. Solve g*h = 4*u - 8, -15 = 5*h + r*u + 5 for h. -4 Let y = 256 + -262. Let n be (y + 20/3)*6. Solve -3*w + 12 = 3*b, -3*b = -n*w + 2 + 7 for w. 3 Let g be (140/(-90))/(63/(-486)). Solve 3*d +
{ "pile_set_name": "DM Mathematics" }
45 How many minutes are there between 2:05 PM and 6:30 PM? 265 What is 675 minutes before 1:12 PM? 1:57 AM What is 609 minutes after 2:30 PM? 12:39 AM What is 665 minutes before 12:45 AM? 1:40 PM What is 538 minutes before 2:55 PM? 5:57 AM What is 646 minutes after 5:57 PM? 4:43 AM What is 344 minutes before 9:59 AM? 4:15 AM What is 102 minutes after 9:36 AM? 11:18 AM How many minutes are there between 5:15 PM and 10:43 PM? 328 How many minutes are there between 9:46 PM and 12:26 AM? 160 What is 298 minutes after 11:32 PM? 4:30 AM How many minutes are there between 3:27 PM and 2:06 AM? 639 What is 639 minutes after 1:38 AM? 12:17 PM What is 60 minutes before 3:11 AM? 2:11 AM How many minutes are there between 5:02 PM and 1:26 AM? 504 What is 2 minutes after 11:18 PM? 11:20 PM How many minutes are there between 4:35 PM and 4:44 PM? 9 How many minutes are there between 11:09 AM and 9:48 PM? 639 What is 90 minutes before 3:10 AM? 1:40 AM How many minutes are there between 12:22 PM and 9:20 PM? 538 What is 20 minutes after 5:39 PM? 5:59 PM How many minutes are there between 10:17 AM and 6:03 PM? 466 What is 416 minutes after 6:33 AM? 1:29 PM How many minutes are there between 1:10 AM and 3:34 AM? 144 What is 708 minutes after 10:19 AM? 10:07 PM What is 328 minutes after 12:22 PM? 5:50 PM How many minutes are there between 5:40 PM and 2:35 AM? 535 How many minutes are there between 4:23 AM and 11:19 AM? 416 What is 564 minutes after 8:45 AM? 6:09 PM What is 708 minutes after 7:39 AM? 7:27 PM How many minutes are there between 10:52 AM and 2:16 PM? 204 What is 699 minutes before 7:16 PM? 7:37 AM What is 111 minutes before 2:38 AM? 12:47 AM How many minutes are there between 10:30 PM and 2:30 AM? 240 What is 675 minutes before 12:42 AM? 1:27 PM What is 327 minutes after 3:02 AM? 8:29 AM What is 341 minutes after 8:29 AM? 2:10 PM How many minutes are there between 9:32 PM and 2:56 AM? 324 How many minutes are there between 12:11 AM and 11:41 AM? 690 How many minutes are there between 10:41 AM and 1:28 PM? 167 How many minutes are there between 3:13 PM and 11:24 PM? 491 What is 508 minutes before 6:17 AM? 9:49 PM How many minutes are there between 3:57 AM and 2:33 PM? 636 What is 546 minutes after 1:06 PM? 10:12 PM What is 4 minutes after 4:36 AM? 4:40 AM What is 631 minutes before 9:25 PM? 10:54 AM How many minutes are there between 12:51 AM and 4:14 AM? 203 What is 310 minutes before 10:36 PM? 5:26 PM What is 90 minutes after 6:58 AM? 8:28 AM How many minutes are there between 4:39 AM and 7:45 AM? 186 How many minutes are there between 3:21 PM and 1:45 AM? 624 What is 421 minutes after 1:32 PM? 8:33 PM How many minutes are there between 7:14 PM and 4:04 AM? 530 How many minutes are there between 3:30 PM and 10:55 PM? 445 How many minutes are there between 4:09 AM and 10:04 AM? 355 How many minutes are there between 11:19 PM and 4:34 AM? 315 How many minutes are there between 4:01 PM and 2:37 AM? 636 What is 4 minutes after 6:23 AM? 6:27 AM What is 459 minutes after 8:09 PM? 3:48 AM What is 207 minutes after 9:23 AM? 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507 What is 153 minutes before 4:26 PM? 1:53 PM What is 96 minutes after 1:16 AM? 2:52 AM How many minutes are there between 3:54 PM and 3:44 AM? 710 How many minutes are there between 12:34 AM and 8:24 AM? 470 What is 236 minutes after 7:46 AM? 11:42 AM How many minutes are there between 2:35 PM and 4:22 PM? 107 What is 680 minutes before 12:22 PM? 1:02 AM How many minutes are there between 3:00 AM and 6:22 AM? 202 What is 631 minutes before 11:06 PM? 12:35 PM What is 53 minutes before 7:42 AM? 6:49 AM How many minutes are there between 5:27 AM and 7:04 AM? 97 What is 48 minutes before 9:55 AM? 9:07 AM How many minutes are there between 1:54 PM and 4:01 PM? 127 What is 391 minutes before 6:50 AM? 12:19 AM What is 583 minutes before 12:33 PM? 2:50 AM What is 406 minutes before 6:58 AM? 12:12 AM How many minutes are there between 3:55 PM and 5:58 PM? 123 What is 655 minutes before 4:28 PM? 5:33 AM How many minutes are there between 8:27 PM and 9:02 PM? 35 What is 344 minutes after 12:58 PM? 6:42 PM How many minutes are there between 7:55 PM and 5:02 AM? 547 How many minutes are there between 3:48 AM and 5:48 AM? 120 How many minutes are there between 7:46 AM and 5:35 PM? 589 What is 332 minutes after 7:19 PM? 12:51 AM How many minutes are there between 7:29 PM and 10:08 PM? 159 How many minutes are there between 9:16 PM and 7:32 AM? 616 What is 611 minutes before 10:59 AM? 12:48 AM How many minutes are there between 6:46 AM and 7:37 AM? 51 What is 681 minutes before 1:12 AM? 1:51 PM What is 12 minutes before 1:19 AM? 1:07 AM What is 646 minutes after 8:15 AM? 7:01 PM What is 244 minutes before 3:35 AM? 11:31 PM What is 557 minutes before 8:48 AM? 11:31 PM How many minutes are there between 6:56 AM and 5:12 PM? 616 What is 235 minutes before 4:57 PM? 1:02 PM How many minutes are there between 7:54 AM and 7:11 PM? 677 How many minutes are there between 7:29 AM and 6:26 PM? 657 How many minutes are there between 8:32 PM and 5:44 AM? 552 How many minutes are there between 1:47 PM and 7:40 PM? 353 How many minutes are there between 1:29 PM and 6:15 PM? 286 How many minutes are there between 12:37 AM and 10:34 AM? 597 How many minutes are there between 9:47 PM and 7:57 AM? 610 What is 128 minutes after 7:36 PM? 9:44 PM What is 320 minutes before 5:26 AM? 12:06 AM How many minutes are there between 8:24 AM and 10:52 AM? 148 How many minutes are there between 5:05 PM and 12:52 AM? 467 How many minutes are there between 10:22 PM and 1:53 AM? 211 What is 332 minutes after 4:04 AM? 9:36 AM How many minutes are there between 3:40 PM and 2:08 AM? 628 What is 670 minutes after 10:38 AM? 9:48 PM What is 456 minutes before 11:06 PM? 3:30 PM What is 616 minutes before 11:32 PM? 1:16 PM How many minutes are there between 2:13 AM and 4:03 AM? 110 How many minutes are there between 8:40 PM and 1:36 AM? 296 How many minutes are there between 4:40 PM and 4:05 AM? 685 How many minutes are there between 12:19 PM and 2:02 PM? 103 How many minutes are there between 11:50 PM and 9:20 AM? 570 What is 702 minutes after 11:55 AM? 11:37 PM What is 50 minutes after 5:32 AM? 6:22 AM How many minutes are there between 4:47 PM and 2:07 AM? 560 How many minutes are there between 3:25 PM and 8:16 PM? 291 What is 526 minutes before 6:16 PM? 9:30 AM How many minutes are there between 5:38 PM and 9:33 PM? 235 How many minutes are there between 4:35 AM and 10:07 AM? 332 How many minutes are there between 1:51 AM and 4:13 AM? 142 What is 657 minutes before 6:49 AM? 7:52 PM How many minutes are there between 8:41 PM and 11:16 PM? 155 How many minutes are there between 4:45 AM and 9:15 AM? 270 What is 704 minutes before 2:57 PM? 3:13 AM How many minutes are there between 2:06 PM and 8:33 PM? 387 How many minutes are there between 12:27 PM and 3:19 PM? 172 How many minutes are there between 1:54 AM and 10:17 AM? 503 How many minutes are there between 8:32 AM and 10:47 AM? 135 How many minutes are there between 7:07 AM and 8:58 AM? 111 How many minutes are there between 5:17 PM and 9:43 PM? 266 How many minutes are there between 8:52 AM and 4:35 PM? 463 What is
{ "pile_set_name": "DM Mathematics" }
tiple of 17 and a? 34 Let v(t) = -t**2 - 6*t + 7. Let l be v(-7). Let s = 7 + l. Suppose 0*y + 4 = y. Calculate the smallest common multiple of y and s. 28 Let w = -93 - -142. Calculate the common denominator of -45/4 and w. 4 Suppose 0 = -5*d - 3 - 22. Let m be 2/(-10) + 29/d. Let u = m - -9. What is the least common multiple of u and 3? 3 Let w(u) = -11*u. Let t = -14 + 6. Let q be w(t). Suppose 2*n + q = 6*n. What is the lowest common multiple of n and 2? 22 Let b = 95/56 - 401/616. Suppose 103 = -4*t + m, 5*t + 3*m + 150 = -0*m. What is the common denominator of (45/t)/((-4)/78) and b? 22 Let q = 597711/8 + -74812. Let i = q + 88. Find the common denominator of i and 85/22. 88 Suppose -5*j + 4165 = -y, -2*j + 20825 = -8*y + 3*y. Let i = y + 33415/8. Calculate the common denominator of -49/12 and i. 24 Let r = 2 - 4. Let o = 8 - r. Find the common denominator of (-2)/(-4)*(-174)/o and 101/12. 60 Suppose v - 3 - 1 = 0. Suppose v*z = 3*y - 0*z + 10, z + 2 = 3*y. Calculate the least common multiple of y and 14. 14 Suppose -3*n - 31498 - 32459 = 0. Let l = -255683/12 - n. Let d = 1231 - 7435/6. Calculate the common denominator of d and l. 12 Let i be 1/(-2)*(3 - 9). Let c(d) = 4*d - 3*d - 2 + i*d - 3*d. Calculate the smallest common multiple of c(4) and 11. 22 Suppose -3*p - 323 = -4*l - 2*p, 3*p + 321 = 4*l. Let m = -20369/10 - -2042. Find the common denominator of m and -3 - (0 + l/(-2)). 10 What is the common denominator of 19/20 and 0 + (2 - 226/28)? 140 Suppose 0 = 2*m - 4*m + 18. Calculate the smallest common multiple of m and 10. 90 Let t be 2/2*2*7. Let m be (-24)/t*(-168)/4. Calculate the common denominator of (-3)/m*2*26 and -31/5. 30 Let h = -18979/4972 - 21/452. Let i be (-2)/(-1) - 76/(-2). Find the common denominator of (-66)/i*(-10)/(-8) and h. 176 Suppose 0 = -3*n - n + 112. Suppose -2*g + n = -0*z - 2*z, 3*g = -z - 6. Find the common denominator of 67/14 and -2*(2 + 169/z). 42 Let i be ((-6)/(-8))/((-1)/(-4)). Suppose i = -5*k + 8. Calculate the lowest common multiple of 8 and k. 8 Suppose 8 - 52 = -z. Suppose 0 = 3*o + 5*a - 33, -z = -4*o + a - 6*a. Calculate the smallest common multiple of o and 5. 55 Suppose -b + 3 - 5 = 3*r, -5*r + 10 = -5*b. Let m(d) = 1 - 3 + 4 + 5*d**2 + r + d**3. Calculate the lowest common multiple of 4 and m(-4). 36 Calculate the smallest common multiple of 28 and 3/1 + -4 + 7. 84 Calculate the lowest common multiple of 3 and (-16)/(-2)*(1 + 2). 24 Suppose 0 = 3*j - j + 276. What is the common denominator of -2 - (j/(-15) - 3) and -5/7? 35 Suppose -i - 15 = -4*i. What is the smallest common multiple of 11 and i? 55 Suppose 5*w - 5*l = 4*w - 15, -12 = -4*l. Suppose 0 = -4*z + 20, 4*z + w*z - 12 = -y. Find the common denominator of 0 + 5/(50/y) and 32/9. 45 Suppose 3 = -4*y - 1. Let g be -1*9 + 4 + y. Find the common denominator of (g/(-44))/((-1)/26) and 97/4. 44 Suppose -5*g = -0*g - 2930. Let j = g + -1709/3. Calculate the common denominator of j and 0. 3 Let r(c) = -92*c**2 + 3*c + 1. Let z be r(4). Let l be (((-10)/z)/(-2))/(-1). Let s = l + -112403/17508. Calculate the common denominator of -89/18 and s. 36 Suppose 0 = -4*v + 2*l - 170, 0*l + 3*l = 15. Let q be (142/118646)/(4/9420). Let c = q - 2/5393. What is the common denominator of v and c? 11 Let f be 6*2*1/(-2). Let w(c) = c**2 + 6*c + 13. Calculate the smallest common multiple of w(f) and 6. 78 Let u = -288005665465312255/44884853230929348 + 2/684512493609. Let j = u - 2/16393. What is the common denominator of (-1)/4 + (-241)/36 and j? 36 Let a be (-2)/3*6/(-4). Let f be a/(-1)*(75 + -2). Find the common denominator of (-1)/2*f/5 and 149/6. 30 Let l be (-4)/6 - (-2289106)/132. Let s = 17337 - l. Calculate the common denominator of 43/10 and s. 110 Let c = -720/13 + 6298/117. Calculate the common denominator of -18/5 and c. 45 Let d(f) = f**2 - 14*f - 1. Let b be d(7). Let a = 143 + b. Let u = 63 - a. Find the common denominator of u and 23/8. 8 Find the common denominator of (-203)/(-24) + 24/36 and -89/14. 56 Let t(z) = -9*z**2 - 2*z - 20. Let n be t(9). Let l = n + 4619/6. Find the common denominator of -85/8 and l. 24 Let p be (-1)/(-5) - 177526/40. Let r = p + 4435. What is the common denominator of r and (-57)/(-28)*10*9/27? 140 Suppose 5*u - 3*w + 29 = 10*u, u - 3*w + 5 = 0. Calculate the smallest common multiple of u and 6. 12 Let q(n) = 2*n**2 - 3*n - 1. Let c = -1 - -5. Let u be q(c). Let r = -10 + u. What is the lowest common multiple of 8 and r? 72 Let k be 2322 - -1*(-4 - -3). Let d be (4 - 866)*22/(-8). Let u = k - d. What is the common denominator of -56/5 and u? 10 Let c = -39 - -55. Let n(l) = -l**3 - 2*l + 4. What is the least common multiple of c and n(0)? 16 Let r be 6 - 4 - 150303/14. Let z = 10729 + r. What is the common denominator of z and -77/4? 28 Suppose -2 - 2 = -3*v - 4*n, v + 4*n + 4 = 0. What is the lowest common multiple of v and 8? 8 Suppose -4*g = -360 - 1696. Find the common denominator of -29/20 and 1/(-5) - g/(-120). 60 Let j(b) = -b**3 + 7*b**2 - 10*b + 6. Let k be j(6). Let a = -1/166 - -3446/249. Find the common denominator of a and 128/k - 3/6. 18 Let r(v) be the second derivative of v**3/6 + 13*v**2/2 + 3*v. What is the lowest common multiple of 5 and r(-6)? 35 Suppose 3*r = 4*r. Suppose -2*w - 5*u - 18 = r, 6*u - 2*u + 11 = -5*w. What is the least common multiple of 11 and w? 11 Suppose -k + 2 = 3. Let f be ((-3)/2)/(3/(-824)). What is the common denominator of f/112*2/k and -87/8? 56 Let u(z) = z**3 + 24*z**2 - 50*z + 54. What is the least common multiple of u(-26) and 50? 50 Suppose 7*x + 22 = 92. What is the lowest common multiple of x and 80? 80 Calculate the common denominator of (-1770)/525*(-10)/16 and -5/24. 168 Suppose 0 = 4*n + 2 + 2. Let y be (-2 + -2)/1*n. Suppose 0 = 4*a - y, 3*m + 0 - 20 = -2*a. Calculate the lowest common multiple of 10 and m. 30 Let u be 2*3*(-8)/6. Let d = -7 - u. Suppose -3*n + 13 = d. Calculate the least common multiple of 11 and n. 44 Let t = 104 + -70. What is the smallest common multiple of t and 6? 102 Suppose l = 6 - 4. Calculate the least common multiple of l and 12. 12 Suppose 4*d - 3*c + 602 = 187, 2*c = -2*d - 218. Let a be ((-16)/3)/(2/(-12)). Calculate the common denominator of 137/18 and (-1)/(a/d) - -1. 144 Let a be ((-2)/(-490))/((-2)/(-5)). Let s = a + 122/49. What is the common denominator of s and 14/3? 6 Let x = -1 + 6. Let m be 1/4 + 15/4. Suppose -j - m*j + 55 = 0. What is the lowest common multiple of j and x? 55 Let h(p) be the third derivative of -p**4/24 - 5*p**3/6 - 3*p**2. Find the common denominator of h(-3) and -31/3. 3 Let u(o) = -o**3 + 2*o**2 + 4*o + 1. Let v be u(3). Suppose 0 = -v*q - q + 20. Calculate the least common multiple of q and (24/9)/2*3. 4 Let w(i) = 2*i - 5. Let p = 78 + -68. What is the lowest common multiple of w(6) and p? 70 Suppose b = 4*h - 84, -56 = -2*h + 6*b - 2*b. Let o = h - 10. What is the lowest common multiple of o and 6? 30 Let r = -1/1307 - -99341/11763. Let y = -284 - -1697/6. Calculate the common denominator of r and y. 18 Let k = -8 + 11. Let c = 0 + k. Suppose -13 = -3*b - 1. Calculate the lowest common multiple of c and b. 12 Suppose -5*j + 3*g + 0*g + 3 = 0, 0 = 2*j + 4*g - 22. Let n = -1 + j. Suppose 0 = -3*w + 2*w + n. Calculate the smallest common multiple of 10 and w. 10 Suppose 2*s = -4*p + 12, 4*p + s - 8 = -2*s. Let g = 37 - 18. Suppose 2*c + 9 = -3*x - c, -3*x - g = 5*c. What is the smallest common multiple of p and x? 10 Suppose 0 = 3*t + 11 - 35. Suppose 5*a + 4*o + t - 4 = 0, 4*a + 24 = 2*o. Find the common denominator of (a/10)/((-12)/75) and -45/4. 4 Let o = -39 - -11. Let f = 39 + o. Let j = -5 + f. What is the lowest common multiple of j and 11? 66 Suppose -i = -3*i + 42. Calculate the least common multiple of 66 and i. 462 Let x = 17 - 19. Find the common denominator of (-2)/6 - 111/18 and (-234)/40 - (1 + x). 20 What is the lowest common multiple of 10 - (-2 + -2)/(-2) and 3? 24 Let c = -424/91 + 8/91. What is the common denominator of 74/3 and c? 21 Suppose 37 = 4*u + 5. Suppose -t = -5*c + 38, 3*t + 0*t - 2*c = -127. Let q = 65 + t. Calculate the lowest common multiple of u and q. 88 Suppose 4*v - 6500 = 2*n, 5*v - 2*n - 499 - 7627 = 0. Let i = v + -12937/8. Find the common
{ "pile_set_name": "DM Mathematics" }
63? 1.9737 What is 0.13 + -34.5? -34.37 What is 6628 minus -0.419? 6628.419 Add -6656 and -114. -6770 What is -0.692 minus 1? -1.692 Calculate -4 - -51060.3. 51056.3 0.1464 - 0.205 -0.0586 Work out -0.13 - 431.02. -431.15 Total of 398389 and -1.8. 398387.2 Work out -0.3 - 142270. -142270.3 What is the distance between 419 and -41? 460 Add 269 and 20. 289 What is -0.3 + -0.08781? -0.38781 What is -0.0828 - -0.03? -0.0528 Work out -46260 - -1. -46259 -3 + 517 514 Work out 0.2 - -351486. 351486.2 What is 2.2 + -302? -299.8 What is 0.14 less than -20913.9? -20914.04 Calculate -3 + -12507. -12510 What is 198 + -39.541? 158.459 Add -1573 and -0.96. -1573.96 Work out 1849 + -5. 1844 What is 1716.8 minus -3? 1719.8 Put together 243 and 19.6. 262.6 What is -18 - -1725? 1707 Total of 3645 and -50.4. 3594.6 What is -1.2 + -144? -145.2 Work out -2 - -0.0658. -1.9342 Add together 459 and -0.4. 458.6 Total of 11 and -127814. -127803 Add together -1895 and -84. -1979 -0.1398 - -1.33 1.1902 Add together 0.362 and 13. 13.362 Add together 0.15 and -1114. -1113.85 Calculate -91151 - 0.2. -91151.2 0.073 + -3 -2.927 What is -1.91 + -3? -4.91 What is 3 - -1162? 1165 Work out 0 + -637885. -637885 Calculate -1.61 - 0.58. -2.19 What is -0.1 + -0.080075? -0.180075 What is the difference between 1926 and -1.39? 1927.39 -27.45 + -10 -37.45 Work out 3.8319 + -0.7. 3.1319 What is 0.4 + -73.034? -72.634 180 + 70 250 What is the distance between -2.6 and -0.073? 2.527 Calculate -289331 - -0.9. -289330.1 What is 0.1 minus 13842? -13841.9 Work out 0.5 - 3103. -3102.5 Work out 719 + -91. 628 What is -5 plus -1.368338? -6.368338 Subtract -23 from 114.039. 137.039 Sum -167 and -51. -218 What is 0.0515 minus 0.02? 0.0315 Subtract -19.023 from -83. -63.977 Total of -0.422 and -0.059. -0.481 1240+-1190 50 1.821 + 5 6.821 What is -187193 minus 0.037? -187193.037 Total of -19913 and -0.3. -19913.3 Add -5.181235 and -0.1. -5.281235 Subtract -6.2824 from 0.022. 6.3044 -236 + 3341 3105 Subtract 85.6 from -0.02263. -85.62263 715872 + 0.4 715872.4 What is the difference between -5 and -322622? 322617 What is -0.391 minus 0.028? -0.419 Total of 0.7 and -0.2538. 0.4462 What is the difference between -1609 and 0.5? 1609.5 Total of 0.08 and 7348. 7348.08 9.944 + 155 164.944 Calculate 0.6635 - 1.9. -1.2365 What is 6.756 less than 0.1? -6.656 What is 144 plus -0.3? 143.7 Subtract -0.051 from -602. -601.949 Subtract 710 from -40. -750 What is 5.5 plus 0.2? 5.7 Work out -23215 + -1. -23216 What is -0.7 - -2.081? 1.381 What is -10822 plus -5? -10827 Work out 0 + -110614. -110614 Work out 2167 + -0.0417. 2166.9583 What is the distance between 2 and -2127.03? 2129.03 What is the distance between -5 and 153? 158 Calculate 3 + -77484. -77481 Sum 0.14 and 4. 4.14 Calculate -7 - 0.0581. -7.0581 What is -0.09 + -108258? -108258.09 What is -0.12539 take away -0.3? 0.17461 Work out 1.1176 - 154. -152.8824 Add 0.1 and 26. 26.1 Work out 0.37 - -26.6. 26.97 What is -3398 take away 2.57? -3400.57 -3612+4 -3608 What is the distance between -10.5908 and -1? 9.5908 Put together 1 and 156908. 156909 Calculate 0 - 469. -469 Sum -9.9 and -6337. -6346.9 What is the distance between 3 and 258580? 258577 Work out -769 - -945. 176 Put together 19 and 9410. 9429 Put together -20.1862 and 11. -9.1862 What is 0.2 less than 3.464661? 3.264661 What is 0.5 minus 1.1592? -0.6592 What is 0.3 plus -0.1033? 0.1967 What is 5 less than -300117? -300122 What is -2.47 less than -178.16? -175.69 What is -0.339 take away 0? -0.339 What is -4969 + -38.3? -5007.3 Add 39.57 and 79.1. 118.67 Sum 576991 and 0. 576991 Work out -2.4 - 0.1436. -2.5436 What is 0 take away 2368.2? -2368.2 What is 0.14 plus 7.4? 7.54 What is -54 minus 185? -239 89 + -14 75 Work out 159599 + 0.25. 159599.25 Add together 0.11 and -93413. -93412.89 Calculate 3097.39 + -0.4. 3096.99 Work out 4 - -0.2714. 4.2714 What is -0.2 plus 41.88? 41.68 Calculate -1 + 214809. 214808 Add together 623515 and -0.4. 623514.6 Calculate -3099 - -4. -3095 Add -0.7 and -410896. -410896.7 Subtract 14.57 from 4. -10.57 What is the difference between -4186 and -0.018? 4185.982 What is -2959 + 4? -2955 What is -0.725 less than 0.5? 1.225 What is the distance between 0.5 and -0.5835? 1.0835 What is 3687 - -0.0636? 3687.0636 Work out 85.5849 - -0.1. 85.6849 Work out -105 - -6. -99 Calculate -0.126 - 0.394. -0.52 Add -16 and 4. -12 What is -30.772 take away 0.02? -30.792 Work out 17307 + -0.1. 17306.9 Put together 17413 and 0.4. 17413.4 Add together -0.4 and -3887. -3887.4 Calculate -138048 - 4. -138052 Work out 1 + -8.647. -7.647 What is -558.44 + 9.2? -549.24 Add -0.0887 and 1124. 1123.9113 What is the difference between -0.3745 and 0.191? 0.5655 What is 2.2 less than -7.273? -9.473 What is -224 - 0.093? -224.093 Add 0.5 and 366.1. 366.6 Add 0.27 and -53236. -53235.73 What is 768.3 less than 0.3? -768 What is -18 + 90365? 90347 Sum -1887.104 and -0.3. -1887.404 Add together -18 and -1.081. -19.081 Add together -80 and -89. -169 What is -13 take away 71? -84 -0.2 + 1.0287 0.8287 What is -0.5 minus -0.02737? -0.47263 Calculate 1595 - 0.2. 1594.8 What is the distance between 0.09 and -9698? 9698.09 -0.4 + -6836 -6836.4 -67 + 51 -16 Subtract -2 from 0.2528. 2.2528 Add together 2240 and -192. 2048 Calculate 0.4 + 0.0802609. 0.4802609 Calculate -185 - 611. -796 2.1+0.0663 2.1663 What is -462 - -520? 58 What is the difference between 0.2 and 13282137? 13282136.8 Calculate -4 - 0.519. -4.519 Calculate 0 - -35380. 35380 What is the difference between -1.3311 and -0.18? 1.1511 -158375 - 0 -158375 What is 0.091 take away 4558? -4557.909 Subtract 9.97 from 2. -7.97 Add together 588 and -2. 586 Sum -0.5 and 1861012. 1861011.5 Work out 151 - 1405. -1254 Subtract 913 from 3. -910 What is 0.08 - 20435? -20434.92 Sum 11962 and 2. 11964 Work out -336 - 0.003. -336.003 9.7 + 19 28.7 Sum -1926 and -1.5. -1927.5 What is the distance between -17 and -74? 57 Work out -0.0961 + 0.3. 0.2039 Add together 845 and -12.86. 832.14 Calculate -8 - 135. -143 Work out 43900 + -0.12. 43899.88 Work out 0.08 - -0.33. 0.41 What is -313 minus -0.2? -312.8 Sum -7 and -3195. -3202 What is 2304.3 less than 54? -2250.3 What is -0.0256 plus -2? -2.0256 What is the difference between -42 and -93? 51 Put together 0.58 and 51888. 51888.58 Subtract -843 from 0.2. 843.2 What is 1277.9 - -3? 1280.9 Calculate 27 + 366.63. 393.63 What is the distance between -0.202 and 0.3? 0.502 Add together -6251929 and 0. -6251929 Add 1 and -1298.685. -1297.685 Subtract 21278.13 from -3. -21281.13 What is the distance between 0.8432 and 0.21? 0.6332 What is -2234 plus 23? -2211 Sum -0.05 and -75.5. -75.55 Calculate -113 - -22. -91 What is -5 plus 4.8? -0.2 Add -1.0107 and -3. -4.0107 -1.2087 + 0.5 -0.7087 What is -8.31 less than 0.15? 8.46 Work out -90.3 - 11. -101.3 Total of -44870 and -0.1. -44870.1 What is -5.33 less than 29? 34.33 What is 6818 minus -464? 7282 Work out -9634 - -0.04. -9633.96 -14101.47 - 1 -14102.47 Subtract 0.45 from 0.11. -0.34 Work out -22778 + -1. -22779 What is 4 take away 100979? -100975 Sum -1.2 and 695.5. 694.3 What is -9 + 19974? 19965 -0.167 - -15.35 15.183 What is -2 + -9287? -9289 What is 3 minus 40.8? -37.8 What is -0.6247 less than 2.3? 2.9247 What is 1 - 155344? -155343 Work out -2.4 - -60.4. 58 What is the difference between -2303 and 0.4? 2303.4 -150 - -0.0089 -149.9911 Put together -0.049717 and 1.2. 1.150283 What is -3 take away -224863? 224860 Work out -4 + -82.82. -86.82 What is the distance between -0.39802 and 0.2? 0.59802 What is -30 + -52? -82 1074 + -62 1012 Sum 175413 and -0.09. 175412.91 7.2+32 39.2 Work out -217012 - -0.4. -217011.6 Put together 407 and -3.73. 403.27 -15581 + 12.6 -15568.4 Calculate -14.782 - 3.4. -18.182 Work out -89050 + 4. -89046 -31.97 - 0 -31.97 Work out 11316 + 0.017. 11316.017 What is the distance between -1153.9 and 0.4? 1154.3 Subtract -2.361 from -0.1. 2.261 What is the difference between 0.3569 and 0? 0.3569 Total of 0.257 and -5. -4.743 What is 111174 less than 1.6? -111172.4 What is -0.49 less than -3.3? -2.81 Subtract -0.2 from -26.6925. -26.4925 What is the distance between -3 and 2342? 2345 Total of -0.05254 and 0.5. 0.44746 What is 4.4143 + 0.12? 4.5343 What is the diff
{ "pile_set_name": "DM Mathematics" }
- 4*c**b + 7*c**4 - 15*c**3 + 6*c**2 - c**4 = 0. -1, 1, 2 Factor 1/2*l**3 - 1 + l**2 - 1/2*l. (l - 1)*(l + 1)*(l + 2)/2 Let t(g) = 3*g**3 - 4*g**2 - 5*g - 4. Let m(x) = x**3 - x**2 - x - 1. Let a(j) = 4*m(j) - t(j). Let b(p) = -p**2. Let w(z) = -a(z) + 2*b(z). Factor w(y). -y*(y + 1)**2 Factor -18*p**2 + 540*p**3 + 16 - 282*p**3 - 272*p**3 + 14*p + 2*p**4. 2*(p - 8)*(p - 1)*(p + 1)**2 Let k(s) be the second derivative of -s**7/6300 - s**6/450 - s**5/75 + s**4/6 + 2*s. Let a(p) be the third derivative of k(p). Let a(m) = 0. Calculate m. -2 Let f(w) be the second derivative of -1/6*w**2 + 0 - 1/20*w**5 - 7/36*w**4 - 3*w - 5/18*w**3. Factor f(o). -(o + 1)**2*(3*o + 1)/3 Let u(o) be the first derivative of -2*o**5/5 + 2*o**4 - 4*o**3 + 4*o**2 - 2*o + 15. Determine p so that u(p) = 0. 1 Let o = -110 + 113. Factor 0 - 3/2*x**2 - 1/2*x - 3/2*x**o - 1/2*x**4. -x*(x + 1)**3/2 Factor 22 - 9*q**2 - 10 - q**4 + 6*q**3 - 12. -q**2*(q - 3)**2 Let -11/2*a**4 - 2*a**5 + 5/4*a + 1/4*a**2 - 17/4*a**3 + 1/4 = 0. What is a? -1, -1/4, 1/2 Let c = 253 + -251. Solve 0 + 4/11*g**3 + 2/11*g**c + 0*g + 2/11*g**4 = 0 for g. -1, 0 Let a(d) be the first derivative of -5*d**5 - 55*d**4/2 - 115*d**3/3 - 15*d**2 - 1. Find m such that a(m) = 0. -3, -1, -2/5, 0 Let -c**4 + 5/3*c - 5/3*c**3 - 2/3 + 5/3*c**2 = 0. Calculate c. -2, -1, 1/3, 1 Factor -28/3*j - 26/3*j**2 + 3*j**4 + j**3 - 8/3. (j - 2)*(j + 1)*(3*j + 2)**2/3 Let h(c) be the third derivative of -c**8/840 - 2*c**7/525 + c**5/75 + c**4/60 - 3*c**2. Determine r, given that h(r) = 0. -1, 0, 1 Suppose -6 - 6 = -3*r. Suppose -18 - 6 = -r*v. Factor -8*g**2 + v - 3 - 5 + 8*g. -2*(2*g - 1)**2 Suppose 7 - 1 = v - o, -15 = 3*o. Factor 0*x**2 + v - 1 - 1 + x**2. (x - 1)*(x + 1) Let l(x) be the third derivative of -x**7/1260 + x**6/180 + x**4/6 + 6*x**2. Let d(w) be the second derivative of l(w). Factor d(m). -2*m*(m - 2) Let a(z) be the first derivative of z**4/2 + 2*z**3/3 - z**2 - 2*z + 10. Determine b so that a(b) = 0. -1, 1 Let l(q) be the first derivative of -2*q**3/3 + 2*q + 22. Factor l(m). -2*(m - 1)*(m + 1) Let a(u) be the first derivative of u + 2. Let j(h) = h**2 + 3*h + 3. Let x(w) = -3*a(w) + 3*j(w). Factor x(s). 3*(s + 1)*(s + 2) Let a = 2 + -2. Let v(u) be the third derivative of 1/90*u**6 + 0 - 1/90*u**5 + a*u - 2*u**2 + 0*u**3 + 0*u**4 - 1/315*u**7. What is r in v(r) = 0? 0, 1 Let k(q) = -9*q**3 - 7*q**2 + 11. Let t(f) = -4*f**3 - 4*f**2 + 6. Let l(w) = 2*k(w) - 5*t(w). Determine u so that l(u) = 0. -2, 1 Let n = 561 + -3921/7. Let -2/7*q**2 + 0 + n*q = 0. What is q? 0, 3 Suppose -5*v - 9 - 3 = -p, -4*p + 2 = 3*v. Factor 0*w**2 - p*w**3 + w + w**3 + 0*w**2. -w*(w - 1)*(w + 1) Let h(z) be the first derivative of 3*z**5/10 - 3*z**4/8 - z**3/2 + 3*z**2/4 + 1. Solve h(a) = 0 for a. -1, 0, 1 Find b, given that 12*b + 3*b**3 - b**2 - 10*b**2 - b**2 + 0*b**3 = 0. 0, 2 Let c(v) be the second derivative of -v**6/90 + v**5/15 - v**4/6 + 2*v**3/9 - v**2/6 + 19*v. Factor c(d). -(d - 1)**4/3 Let y(v) be the first derivative of 0*v**2 + 2 - 1/12*v**4 + 0*v + 1/9*v**3. Factor y(m). -m**2*(m - 1)/3 Let o(a) be the third derivative of 0*a + 0*a**3 - 1/120*a**6 + a**2 - 1/72*a**4 + 0 + 1/630*a**7 + 1/60*a**5. Factor o(i). i*(i - 1)**3/3 Let j be (-15)/(-6)*8/10. Factor 4*u**j + 8*u**2 + 4*u**2 + 4*u**3 + 16*u. 4*u*(u + 2)**2 Let m be 2 + (1/(-6)*47)/4. Let h(c) be the second derivative of 1/16*c**4 - 3*c + 1/16*c**5 - m*c**3 + 0 - 1/8*c**2 + 1/60*c**6. Factor h(q). (q + 1)**3*(2*q - 1)/4 Let n = 1/12 - -2/3. Solve 1/4*d**5 + 0*d + 0 + 3/4*d**3 + n*d**4 + 1/4*d**2 = 0. -1, 0 Let o be -3 - (2 - (6 + 0)). Determine w, given that 14*w**2 + 1 + 2*w**3 - o + 8*w**3 + 4*w = 0. -1, -2/5, 0 Suppose 3*n = 5*n - 16. Suppose n*z - 10 = 3*z. Find x such that -2 + 0*x**4 + 7*x**3 + x**3 + 8*x - 2*x**4 + x**z - 13*x**2 = 0. 1 Solve 3*m**3 + 7*m**5 + 40*m**2 + 0*m**5 + 12*m**4 - 42*m**2 = 0. -1, 0, 2/7 Let m = 5 - -13. Suppose -u - 2*l + m = u, -4*l = -u - 16. Factor 4 - n**3 - u - n**4. -n**3*(n + 1) Let t be 8/(-90)*(-6)/64. Let i(p) be the third derivative of 1/480*p**6 + p**2 + 0 + 1/96*p**4 + 0*p + 0*p**3 + t*p**5. Determine y so that i(y) = 0. -1, 0 Let h = 119 + -115. Let y(z) be the third derivative of -1/840*z**8 - 2/525*z**7 + 0 + 1/75*z**5 + 0*z + 1/60*z**h + 2*z**2 + 0*z**3 + 0*z**6. Factor y(d). -2*d*(d - 1)*(d + 1)**3/5 Suppose 3*w + 38 = -22. Let z be (-8)/w + (-6)/(-15). Suppose -4/5*b**3 - 16/5*b**2 + 4/5*b**4 - 14/5*b - z + 2/5*b**5 = 0. Calculate b. -1, 2 Let f(u) be the first derivative of u**6/240 + u**5/30 + u**4/12 - u**2/2 + 3. Let s(m) be the second derivative of f(m). Solve s(o) = 0. -2, 0 Suppose -2 = g, 2*d = 4*g - 7*g. Let t be (6/(-4))/(3/(-8)). Let 0 - 1 - 2*l**d + 2*l**4 - l**t + 2*l = 0. What is l? -1, 1 Let w = -1/62 + 16/31. Let x(o) be the first derivative of -1 - 1/4*o**4 + w*o**2 + 0*o + 0*o**3. Factor x(v). -v*(v - 1)*(v + 1) Let p be (-2)/4 - (-14)/12. Let x(r) be the first derivative of 2*r**2 - 2 - p*r**3 - 2*r. Factor x(d). -2*(d - 1)**2 Suppose -16*z + 12 = -10*z. Factor 0 - 1/2*a**z + 1/2*a. -a*(a - 1)/2 Let r be -7 + 0 - (-3 - -2). Let s(z) = -8*z**2 + 2. Let w(u) = u**2. Let o(f) = r*w(f) - s(f). Factor o(c). 2*(c - 1)*(c + 1) Let u = -1 - -1. Suppose u*p + 2*p = 8. Find z, given that z**3 + 2 - p - 3*z + 4 = 0. -2, 1 Let c(v) be the third derivative of 1/90*v**5 + 1/12*v**4 + 0*v + 2/9*v**3 + 0 + 6*v**2. Suppose c(f) = 0. Calculate f. -2, -1 Let i(c) = -c**2 + 9*c - 5. Let l be i(8). Factor -l*d**4 + d**4 + 7*d**2 - 4*d**2 - d**4. -3*d**2*(d - 1)*(d + 1) Let k(c) = -6*c + 28*c - 9*c**3 - 12 - 18*c**2 - 7*c. Let w(d) = d**3 + d**2 - d + 1. Let v(x) = -k(x) - 12*w(x). Factor v(f). -3*f*(f - 1)**2 What is a in 2/7*a**3 + 4/7*a**4 + 0 + 0*a - 2/7*a**2 = 0? -1, 0, 1/2 Let c(b) be the first derivative of -4/9*b**3 + 4/3*b + 7/6*b**4 + 4 - 7/3*b**2. Solve c(l) = 0. -1, 2/7, 1 Factor 4/7*f**2 + 2/7*f**3 + 2/7*f + 0. 2*f*(f + 1)**2/7 Let a = 18 - 18. Let z(o) be the second derivative of -1/126*o**7 + 2*o + 0*o**3 + 0*o**2 + 0*o**5 + a + 0*o**4 - 1/90*o**6. Factor z(u). -u**4*(u + 1)/3 Let l(g) be the second derivative of -g**6/6 - g**5/4 + 5*g**4/12 + 5*g**3/6 + 11*g. Let l(h) = 0. Calculate h. -1, 0, 1 Let k = -59/8 + 8. Let h(m) be the first derivative of -1/4*m - 5/6*m**3 - 1 + k*m**2 + 1/24*m**6 - 1/4*m**5 + 5/8*m**4. Factor h(p). (p - 1)**5/4 Let x be (-8)/10 - 990/(-675). Find i, given that -4/9 + 2/3*i**3 - x*i + 2/9*i**2 + 2/9*i**4 = 0. -2, -1, 1 Solve 0 + 2/15*b**2 - 8/15*b = 0. 0, 4 Let t(u) be the first derivative of 7*u**4/18 - 2*u**3/3 + 2*u**2/9 - 8. What is h in t(h) = 0? 0, 2/7, 1 Let z be (-1 + 0)/((-3)/(-69)). Let h = -23 - z. Factor 1/3*m**5 + 0 - 1/3*m - 2/3*m**4 + h*m**3 + 2/3*m**2. m*(m - 1)**3*(m + 1)/3 Factor 6*b**4 + 70*b**3 + 211*b + 2*b**4 + 209*b - 3*b**4 + 305*b**2 + 180. 5*(b + 1)**2*(b + 6)**2 Let j(t) = -12*t**2 - 45*t + 57. Let l(q) = -3*q**2 - 11*q + 14. Let p(m) = -5*j(m) + 21*l(m). Factor p(h). -3*(h - 1)*(h + 3) Let y be (4/10)/(56/280). Suppose 0*b + 0 + 1/4*b**y - 1/4*b**4 + 0*b**3 = 0. What is b? -1, 0, 1 Let k(b) = 3*b**2 + 9*b**2 + b**2 - 4*b**2. Let r(z) = -13*z**2. Suppose 0 = -3*s - 11 - 4. Let v(j) = s*r(j) - 7*k(j). Factor v(c). 2*c**2 Let n = -7 - -10. Let a(t) be the first derivative of -1 + 1/6*t**2 + 0*t + 1/4*t**4 - 1/3*t**n - 1/15*t**5. Factor a(k). -k*(k - 1)**3/3 Let 1/9*s**4 + 0*s**2 + 1/3*s**3 + 0 - 4/9*s = 0. What is s? -2, 0, 1 Let t(a) = 36*a**3 - 63*a**2 + 18*a + 1. Let b(x) = 12*x**3 - 21*x**2 + 6*x. Let n(g) = 8*b(g) - 3*t(g). Find w such that n(w) = 0. -1/4, 1 Let -4*n + 2*n - 3*n**2 + 5*n + 6 + 0 = 0. What is n? -1, 2 Let v(z) be the first derivative of z**4/6 + 2*z**3 + 9*z**2 + 18*z - 4. Factor v(h). 2*(h + 3)**3/3 Let u be (-42)/(-5) - 4/10. Suppose u*q = 2*q. Determine w, given that -1/3*w**2 + 0 + q*w - 1/3*w**3 = 0. -1, 0 Let w be 3/(-2)*12/(-10). Let o = 264 + -1311/5. Suppose 3/5*q**4 - 3/5*q + 0 - o*q**3 + w*q**2 = 0. What is q? 0, 1 Let n = -703/4 - -176. Factor 3/4*l**3 + 5/4*l**2 + 1/4*l - n. (l + 1)**2*(3*l - 1)/4 Let s = -2 - -3. Find m, given that -2*m - m + 11*m**3 - 12*m**3 + s + 3*m**2 = 0. 1 Let y = -3 - -4. Let q be 6*y - 2 - 2. What is t in 2 + 2*t - 2*t**q - 2*t = 0? -1, 1 Let s be ((-1)/2)/((-8)/64). Factor -q**5 +
{ "pile_set_name": "DM Mathematics" }
*c - 3*q - 144 = p. What is the units digit of c? 3 Let y(u) = -u**3 + 18*u**2 - 23*u + 15. Let z be y(11). Suppose 7*i - 203 = z. What is the hundreds digit of i? 1 Let w(v) = -7*v**2 - 6*v**2 + 8*v**2 - 11*v**2 - 34*v + 17 + 14*v**2. What is the units digit of w(-14)? 1 Suppose 15*c - 140107 = 422033. What is the hundreds digit of c? 4 Let j = -187 + 180. Let r(n) = 4*n**2 + 5*n - 9. What is the hundreds digit of r(j)? 1 Let g = 8997 - -736. What is the units digit of g? 3 Let n be (-4)/((-63)/81 + (-4)/18). Suppose 2*q - 7 + 1 = 0. Suppose n*u - 903 = g, u - 5*g = q*u - 479. What is the hundreds digit of u? 2 Let n = 33362 - 16235. What is the thousands digit of n? 7 Let n(r) be the third derivative of -r**5/60 + 19*r**4/24 + 5*r**3/6 - 22*r**2. What is the units digit of n(9)? 5 Let i(z) = -337*z**3 + 2*z**2 + 3*z + 1. Let f be i(-1). Suppose -4*t - 9 = -f. Let w = t - 47. What is the tens digit of w? 3 What is the thousands digit of (1 + 6)*((-2)/(-13) - 1098252/(-2457))? 3 Suppose 2*h = -5*f + 703, -2*h + 260 + 431 = f. Suppose 0 = i - 3*d - 65 - h, 5*d - 25 = 0. What is the units digit of i? 4 What is the thousands digit of 4268 + -8 + -1 + (-5)/1? 4 Let h(g) be the second derivative of g**4/12 + 13*g**3/6 + 4*g**2 + g. Let t be h(-8). Let j = t + 86. What is the tens digit of j? 5 Let x(p) = -p + 33. Let g be x(24). Suppose 0 = g*t - 47 - 70. Suppose t*s - 5*s = 2064. What is the units digit of s? 8 Let c(w) = 35*w**2 + w - 2. Let a be (9 - 3)*8/12. Let i be 4*a/(-8) - (-2 + -2). What is the tens digit of c(i)? 4 Let w = 4331 - 3086. What is the thousands digit of (10*3)/((-17400)/w - -14)? 1 Let n be 2/((-5)/(5/(-2)))*-12. Let h = 15 + n. Suppose 2*g + h*g - 240 = 0. What is the units digit of g? 8 Suppose 72*n - 684 = 69*n. Let g = n + 54. What is the tens digit of g? 8 Suppose d + 4*l = 6197, l + 12418 = 2*d + 3*l. Suppose t + 546 + 1005 = k, 4*k + 5*t - d = 0. What is the thousands digit of k? 1 Let g(k) = 3*k**3 - k**2 + 2*k - 1. Let p be g(1). Suppose 5*m + 55 + p = -a, m + 23 = -4*a. Let l(x) = -x**2 - 13*x + 4. What is the units digit of l(m)? 6 What is the ten thousands digit of (-704718)/170*(-10 + 2 + 3)? 2 What is the hundreds digit of 3/18 - 1852445/(-294)? 3 Let q be 6*((-23144)/(-60) - (-4)/(-10)). Let c = q - 1516. What is the units digit of c? 6 Let j(h) = -h**2 + 19*h - 37. Suppose 4*b - 9*b - 47 = -2*p, -p + b = -19. Let x be j(p). Let u = 37 + x. What is the tens digit of u? 4 Suppose 0 = -z + 3*v + 5, 5*v - 4 = z - 9. What is the tens digit of (-1)/((-2988)/597 + z)? 9 What is the hundreds digit of ((-100)/80)/((-10)/182488)? 8 Let g(r) = r**2 + 3*r - 38. Let b be g(5). Suppose 4*v - 1168 = -v - 4*k, 0 = b*v - k - 462. What is the hundreds digit of v? 2 Let f be (-30)/9*(-42)/10. Let h = f + 43. Let j = 150 - h. What is the tens digit of j? 9 Suppose 3*z + 4 - 1 = -3*j, -5*j + 3 = 3*z. Suppose -5*b = -4*k + 1921, -2*k - j*b = -4*b - 953. What is the hundreds digit of k? 4 Let h be (-2)/(-15) + 1504/(-30). Let z = h - -131. What is the units digit of z + -4 + 3 - -3? 3 Let n(m) be the second derivative of m**5/12 - 11*m**4/6 + 7*m**3 + 6*m. Let k(x) be the second derivative of n(x). What is the hundreds digit of k(26)? 2 Let n(q) = -144*q**2 - 3*q + 135*q**2 + q + 7. Let c be n(4). Let w = -42 - c. What is the hundreds digit of w? 1 Let q(n) = n - 33. Let i be q(19). Let f be 7/i + (-1917)/(-6). Suppose -x - 5*g = -46, -68 = 5*x + 4*g - f. What is the units digit of x? 1 Let f(a) = -a**3 - 16*a**2 - 15*a + 3. Let w be f(-15). Suppose -w*h + h = d - 8, 0 = -d + 4. Suppose 156 = 6*s - h*s. What is the tens digit of s? 3 Let v(p) = 549*p**2 + 349*p + 15. What is the tens digit of v(-6)? 8 Suppose -3*d + 35 = 4*i, -21*i = -22*i + 5. What is the hundreds digit of (d - 13) + 6 + 447? 4 Let w be 154/21 - (-30)/18. Let r(y) = 3*y**3 - 22*y**2 + 9*y - 3. What is the tens digit of r(w)? 8 Let y(g) = -3*g + 22. Let s be y(7). Let l be 5/s - (6 + -6). Suppose -6 = 2*u, -l*m + m + 253 = 5*u. What is the tens digit of m? 6 Let p = 518 - 515. Let b(q) = 32*q**2 + 6*q - 12. What is the hundreds digit of b(p)? 2 Let w = 4363 - 3515. What is the hundreds digit of w? 8 Let v be ((-6)/27)/((-5)/90). Suppose -v*m = c - 48, -2*c + 6*c - 244 = -3*m. What is the tens digit of c? 6 Suppose 2*v = v + 3. Let o = -4376 - -4461. Suppose -v*c = -o - 119. What is the tens digit of c? 6 Suppose -673*b = -659*b - 343770. What is the ten thousands digit of b? 2 Let c = 11934 + -6273. What is the thousands digit of c? 5 Suppose -769 + 193 = -4*t + 2*g, 0 = 3*t + g - 437. Suppose -4*f - t = 4059. What is the tens digit of (-4)/(-16) - (f/4 - 2)? 6 Let p(b) = 65*b**3 - 2*b**2 + b + 1. Let d be p(1). Let g = 89 - d. Suppose -19*i - 270 = -g*i. What is the units digit of i? 4 Suppose 0 = 3*s - 12, -k - 3270 + 9309 = -3*s. What is the units digit of k? 1 Let k be (-548)/(-2) + (-2 - 1). Suppose -3*a = 4*g + 116 + k, -a - 195 = 2*g. Let c = g - -175. What is the units digit of c? 6 Suppose -5470 = -66*t + 1466660. What is the tens digit of t? 0 Let z(d) = -2*d**3 - 18*d**2 - 13*d + 13. Let p = -118 + 106. What is the tens digit of z(p)? 3 Let l = 10385 + -6542. What is the hundreds digit of l? 8 Let j = 2946 - 290. What is the units digit of j? 6 Suppose 3*v = 4*j + 475, 27*j - 5*v = 29*j + 205. Let f = 224 - j. What is the hundreds digit of f? 3 Suppose 554405 = 177*z - 433078. What is the tens digit of z? 7 Suppose -14*p + 5845 = -31129. What is the tens digit of p? 4 Let h = -109 - -80. Let k(b) = -15*b + 76. What is the hundreds digit of k(h)? 5 Let x be 5/((-20)/(-16336)) + (4 - 0). Suppose 0 = 305*h - 309*h + x. What is the tens digit of h? 2 Let q be 7/(-1) - -4 - -12. Suppose q*b - 2090 = -5*g + 6*b, -4*g - 2*b + 1672 = 0. What is the tens digit of g? 1 Let q(m) = 2*m**2 - 23*m + 15. Let s be q(7). What is the hundreds digit of (-8)/6 - 11776/s? 2 What is the ten thousands digit of (6/(-4))/((-2)/(-33) - 48244600/795709200)? 6 Let q be (-433)/5 + (-30)/(-50). Let w = -81 - q. Suppose 0 = -4*s - 4*r + 360, 2*s = -0*s + w*r + 208. What is the tens digit of s? 9 Suppose -5*q + 3 = -17. Suppose 3*j - 7 + q = -2*g, -2*g + 4*j + 38 = 0. Suppose -g*y + 658 = -2*y. What is the units digit of y? 4 Suppose 137070 = -355*q + 364*q. What is the thousands digit of q? 5 Let y(g) = g**2 - 38*g + 285. Let o be y(28). Suppose -2*k - 2*s + 3122 = 0, 0 = o*s - 6*s - 1. What is the units digit of k? 2 Suppose -5*u + 12*m - 10*m + 40 = 0, -2*m = -3*u + 24. Let j(x) = 2*x**3 + 3*x**2 + 2*x + 4. Let h be j(3). Suppose -h = -u*y + y. What is the units digit of y? 3 Let l = -413 + 1534. What is the thousands digit of l? 1 What is the units digit of 255/(-153)*(-7164)/20? 7 Let k(a) = 3*a + 15 - 13 - 1 + a**2 - 17. Let x be k(-6). Suppose 92 = x*n - 3*h, -3*n + 131 + 7 = 5*h. What is the units digit of n? 6 Let h be (4*2313/48)/((-6)/(-32)). Suppose -21*p - h = -22*p. What is the tens digit of p? 2 Suppose -4*p + 184*x - 179*x = -180947, -135780 = -3*p - 4*x. What is the thousands digit of p? 5 Let q(y) = 110*y - 106. Suppose -15*s - 15*s = -150. What is the hundreds digit of q(s)? 4 Suppose -2*q + 3*q - 47 = -c, -235 = -5*c + 5*q. Suppose -b = -5*a + c, -b + 22 = 2*a - 3*b. Suppose 0 = 6*h - a*h + 441. What is the units digit of h? 7 Let m(p) = 2*p**3 - 52*p**2 + 9*p - 25. What is the tens digit of m(27)? 7 Let v(r) = 4*r**2 + 2*r. Let c(b) be the second derivative of b**3/6 + 3*b**2/2 + 20*b. Let o be c(-8). What is the tens digit of v(o)? 9 Let i = 306 + -138. What is the units digit of 1 + i + 3/3? 0 Let k(q) = 442*q - 65. Let l be k(-3). Let z = 2096 + l. What is the tens digit of z? 0 Let k(t) = 45*t**3 + 2*t**2 - 2*t + 15. Let s = -378 + 381. What is the thousands digit of k(s)? 1 Suppose -4*z = -6*l + 83606, 0 = -4*l - 5*z + 58892 - 3124. What is the units digit of l? 7 Let f(y) be the third derivative of -29*y**4 - 11*y**3/3 - 145*y**2. What is the tens digit of f(-2)? 7 Suppose -156*i + 159*i = 23508. What is the hundreds digit of i? 8 Suppose 4*j = o - 4603, 3*j + 520 - 499 = 0. What is the hundreds digit of o? 5 Let l(k) = k - 209. Let d(o) = 70. Let a(z) = 7*d(z) + 2*l(z). Let y be a(-25). Suppose 26*i - 676 = y*i. What is the tens digit of i? 6 Suppose 33
{ "pile_set_name": "DM Mathematics" }
out 3.34 * 34721. 115968.14 Product of -14.826 and -65. 963.69 Multiply -34840.4441 and -0.4. 13936.17764 Product of 0.88 and 1029620. 906065.6 205007*22 4510154 What is the product of 3063.78 and 214? 655648.92 Multiply -1962 and 2741. -5377842 Product of 210421.9 and -1.23. -258818.937 Calculate -19.302823*-0.1. 1.9302823 Multiply -23 and -514584. 11835432 -5 times 1006085 -5030425 Work out -0.005 * -358116. 1790.58 -0.079*24962 -1971.998 Multiply -264074.742 and -0.3. 79222.4226 What is 0.2334 times -48758? -11380.1172 Calculate -10704*-9106. 97470624 Work out -0.23415 * 2.51. -0.5877165 -856.9 times -3514 3011146.6 What is the product of -0.3 and -5732.255? 1719.6765 Product of -2.5138 and 0.027. -0.0678726 Work out 0.1 * -17443.7. -1744.37 -1.725 * -0.4033 0.6956925 Product of -9.094 and 9. -81.846 Work out -351 * 0.116283. -40.815333 Work out 72851935 * -4. -291407740 What is -14534 times -87? 1264458 71.24476 times -140 -9974.2664 What is the product of 0.18 and -658332? -118499.76 Work out 17089818 * 0.05. 854490.9 19.569 times -0.23 -4.50087 18 * -683.77 -12307.86 -0.07 * 117764.8 -8243.536 Work out 0.111 * 0.047276. 0.005247636 What is 2.5 times 7182.667? 17956.6675 769025.85 times 0.3 230707.755 -0.8 times -72584791 58067832.8 -0.021 * 90392 -1898.232 Product of -2.4925 and -8218. 20483.365 Multiply 254 and 27.9631. 7102.6274 Calculate -0.95*4706605. -4471274.75 Calculate 2*-193696251. -387392502 318.264 times 10.98 3494.53872 0.7 times -472211 -330547.7 Calculate 0.1*12851078. 1285107.8 1634177 * -0.5 -817088.5 Product of 540761 and 0.13. 70298.93 Multiply -5 and 0.27305917. -1.36529585 180.99*-708 -128140.92 What is the product of 0.5 and 815.37407? 407.687035 Calculate 61*-31.88181. -1944.79041 -0.031 * 6599925 -204597.675 Product of 2.8 and -6606.48. -18498.144 30.264835 times -5 -151.324175 Multiply -7 and 12680666. -88764662 10 times -5702.508 -57025.08 0.007 times 408888 2862.216 -4 * -47939831 191759324 Work out -126.84 * -0.9062. 114.942408 What is -1.12 times -0.27656? 0.3097472 What is -104.56622 times -5? 522.8311 What is 2.5 times -2.314231? -5.7855775 Calculate -7696386*2. -15392772 -56.04987 times -0.109 6.10943583 -0.04 * -135331 5413.24 3.190028 times -1.9 -6.0610532 What is -0.2 times 63.5974? -12.71948 What is 20.56446 times 0.03? 0.6169338 Work out -2 * 6.153405. -12.30681 What is the product of 3.53483 and 0.5? 1.767415 19*-1215196 -23088724 -93811177*-3 281433531 3 times 845212.1 2535636.3 Calculate -137188729*-0.1. 13718872.9 0.08 times -1798092 -143847.36 -0.4*797.2841 -318.91364 0.03 times -49.6678 -1.490034 Work out 0 * 25287963. 0 -8 times 203093 -1624744 What is -0.084 times -362903? 30483.852 What is the product of 0.6 and -13.68284? -8.209704 -57.2401 times -77 4407.4877 0.1 times -10010639 -1001063.9 What is 3 times 0.088808? 0.266424 Calculate 0.15135*7.6. 1.15026 Work out -230078949 * -0.2. 46015789.8 Multiply 55717 and 24. 1337208 Product of -141213.304 and 2. -282426.608 1 * 11662621 11662621 -0.0316 times 1161.9 -36.71604 Multiply -0.099 and 413.73. -40.95927 What is 0.2 times 333.6342? 66.72684 Work out 934 * -203309. -189890606 Multiply 2014938 and 0.16. 322390.08 -166810*0.0354 -5905.074 -2702 times 7319 -19775938 What is 0.652 times 1420? 925.84 Work out -370.49976 * -0.2. 74.099952 Multiply -0.3 and 3472984. -1041895.2 1 * 15476171.8 15476171.8 What is 0.3 times -27936201? -8380860.3 What is -0.5 times -21825377? 10912688.5 72 * 407011 29304792 Work out -202 * 235.94. -47659.88 What is 0.11217 times -115.04? -12.9040368 -7.31 * 5012 -36637.72 Multiply -0.3 and 50651.1. -15195.33 1705.585*0.01 17.05585 Product of -39 and -414570. 16168230 Work out 0.75 * -1139956. -854967 Calculate -396465822*-0.3. 118939746.6 What is -6577662 times 5? -32888310 Product of -101 and 22270. -2249270 Multiply -2.80243 and 195. -546.47385 What is -0.066 times -818571? 54025.686 Product of 0.127 and -49082. -6233.414 -604.72753 * 0 0 Multiply -0.073009221 and 0.5. -0.0365046105 0.07 * 1539.961 107.79727 Calculate -692112*-0.5. 346056 Multiply -908654472 and 0.1. -90865447.2 Work out -0.8 * 369864. -295891.2 Work out 4 * 21609.318. 86437.272 What is the product of 2.937 and -3338? -9803.706 Multiply 26475757 and -5. -132378785 0.104202*3.831 0.399197862 What is the product of -553406 and -7.1? 3929182.6 What is -50 times -0.121503? 6.07515 0.05 times 0.0534089 0.002670445 What is 60559204 times 0.1? 6055920.4 Multiply 242 and -517.982. -125351.644 Product of -4.97 and -11256. 55942.32 Multiply -1672 and 822. -1374384 -2954124*5.8 -17133919.2 What is -12309082 times 0.04? -492363.28 -0.1 times 19789061 -1978906.1 -902.955 * 0.6 -541.773 Product of -14 and 12975867. -181662138 Calculate 638.7543*0.078. 49.8228354 1 times 5564.079 5564.079 Work out -27.04838 * -303. 8195.65914 Product of -5.16244 and 0. 0 Multiply -94431 and -0.54. 50992.74 Product of -1 and 4303215. -4303215 -28838946 times 1.7 -49026208.2 Work out 18032605 * -0.4. -7213042 -11 times 9.1376 -100.5136 -2.0553 times 5034 -10346.3802 Work out -17806.598 * 0. 0 Multiply 20948.3 and 893. 18706831.9 Multiply 21.0685 and 0.035. 0.7373975 Product of -43692 and -81.8. 3574005.6 What is the product of 0.73829393 and 0.03? 0.0221488179 Work out -4.611725 * 2. -9.22345 17850381 times -6 -107102286 Product of -8558.8 and -0.43. 3680.284 Multiply 0.4 and -2229389. -891755.6 43*4773.81 205273.83 Calculate 20910*2697. 56394270 Calculate 119.62*-73.4. -8780.108 Multiply 0.12 and 2430216. 291625.92 Multiply 883 and 920.3. 812624.9 Work out -90.8118 * -48. 4358.9664 What is the product of 39 and -426350? -16627650 Multiply 3.5 and 1194640. 4181240 Work out 0.6 * 19316925. 11590155 -668554.39 times -0.3 200566.317 -0.6 * -780152 468091.2 Product of 5 and 23257.7354. 116288.677 Multiply 48987 and 1450. 71031150 -35348604*5 -176743020 Product of 12.79 and 11.63. 148.7477 476100128*-3 -1428300384 Multiply -174.2 and 0.01533. -2.670486 Product of -3168 and 163. -516384 1425076 * -0.03 -42752.28 Work out -320474 * -4. 1281896 What is the product of -4 and -30.7184? 122.8736 Calculate 1293350*0.4. 517340 Product of -933950991 and -5. 4669754955 Calculate -0.00633*12.77. -0.0808341 What is the product of -90096 and 143? -12883728 Multiply 10879.72 and 3. 32639.16 What is -985 times 11547? -11373795 0.3*3805901 1141770.3 0.5*920886 460443 What is the product of 0.2 and 317.565? 63.513 What is 2.0408 times 781? 1593.8648 Multiply 93139 and -0.9381. -87373.6959 Multiply -25.87 and 781.4. -20214.818 Work out -0.155 * 70.612. -10.94486 6639.5 times -148 -982646 What is -357960.6 times 13? -4653487.8 -2171446 times 0.12 -260573.52 Product of 1096310 and -21. -23022510 Multiply -4 and -198499.925. 793999.7 What is 3.711537 times 0.1? 0.3711537 -6705265 times -0.13 871684.45 Product of -0.2 and -2090183. 418036.6 Product of 2 and 66441552. 132883104 Work out 56387253 * -0.1. -5638725.3 5.357*-7089 -37975.773 What is 85586697 times 5? 427933485 What is -16 times 2.73938? -43.83008 635 times -659.5 -418782.5 What is the product of 3853.173 and -1? -3853.173 Calculate 11689*-3115. -36411235 -15.456 * 63002 -973758.912 Calculate 1.28*30292. 38773.76 8 times -3427451 -27419608 37238532 times 0 0 Calculate 50590*2.96. 149746.4 -609 * 1470.21 -895357.89 What is 0.6 times -8844660? -5306796 Multiply -191 and 79.96. -15272.36 Work out -4 * -11300808. 45203232 -4 times -116871410 467485640 0.8*2513669 2010935.2 Calculate 297355*-1187. -352960385 Calculate -3*-34872754. 104618262 2 times 218146960 436293920 Multiply -544196 and 29. -15781684 Product of -43812636 and 0.04. -1752505.44 -0.426 * 12296.2 -5238.1812 -203698 * 1.73 -352397.54 Work out 33223 * -672. -22325856 -0.033 * -306856 10126.248 -0.241 times 18.5972 -4.4819252 What is the product of -0.97512 and 11? -10.72632 -18 * 73533 -1323594 What is the product of 161.1 and 909? 146439.9 What is -12144 times -0.1687? 2048.6928 What is the product of 22338.9 and 1.7? 37976.13 What is 10999 times 6517? 71680483 Calculate -0.077183*2.54. -0.19604482 66353*0.0604 4007.7212 -916 times 23133 -21189828 Work out 252 * 44.9288. 11322.0576 226.3*-158202 -35801112.6 Work out 1968.59 * -1.71. -3366.2889 -254 * -0.153672 39.032688 Calculate 297.9*90
{ "pile_set_name": "DM Mathematics" }
Round q to the nearest 1000. 76000 Let f be (-1170032)/(-6) - 50/(-75). Suppose -f = -u + 2*m, 3*u + 2*m = 5*m + 585009. What is u rounded to the nearest ten thousand? 200000 Let j = 44 - 42. Suppose 0 = -3*o - 2*x + 72 + 103, 2*x + j = 0. Suppose t - 60 = 4*f, o = 3*t - 5*f - 93. What is t rounded to the nearest ten? 40 Let u = -207 - -205. Let f be (u - -3)*(-75493 - 7). What is f rounded to the nearest 1000? -76000 Let d(j) = -j. Let g(z) = -4174996*z - 8. Let m(s) = 6*d(s) + g(s). Suppose 58*i + 24 = 52*i. Let h be m(i). What is h rounded to the nearest 1000000? 17000000 Let i = 1109948.7 - 141497.7. Let n = -968465.00017 + i. Let c = -14 - n. Round c to 4 dps. 0.0002 Let d = 10699.351 - 5.351. Let l = 10694.10926 - d. Let o = 0.115 - l. What is o rounded to 3 decimal places? 0.006 Let f = 94 + -103. Let p(g) = -223650*g**3 + 2*g**2 + 18*g - 9. Let j be p(f). Suppose -5*m = 25, -4*b - 3*m = j + 25359174. Round b to the nearest one million. -47000000 Let c = 827.700013747 - 827.7. What is c rounded to 7 decimal places? 0.0000137 Let r(q) = 14*q + 9. Let s(j) = 6*j**3 + j**2. Let m be -2 - -1 - -4*1/2. Let c be s(m). Let h be r(c). What is h rounded to the nearest 10? 110 Let t = -9.4241 + 12.89. Round t to 1 decimal place. 3.5 Let a = 442 + -440.99. Let w = -0.9226 + a. What is w rounded to three decimal places? 0.087 Let r = -48903812323.63753683 + 48903812016. Let b = 0.36600317 - r. Let t = b - 308. Round t to four dps. 0.0035 Let a = 113726336.000246 + -113726221. Let d = -248 - -133. Let h = a + d. What is h rounded to 5 decimal places? 0.00025 Let k = -0.10859094 - -0.10867. Round k to 5 decimal places. 0.00008 Let x = -248 + 592. Let p = x + -342.952. What is p rounded to two dps? 1.05 Let d be (-4)/1*(52/(-8) - -6). Suppose -d*n = -5*m + 3*n - 675, -540 = 4*m + 2*n. What is m rounded to the nearest 10? -140 Let s = 3480.0000461 + -3480. What is s rounded to 4 dps? 0 Suppose -1687 - 24 = j + 3*b, 4*j = -3*b - 6817. Let k = j - 2371. Round k to the nearest one hundred. -4100 Let z be (0 - 6)/(7 + (-153)/18). Let f be z - (102/8 + 8/32). Let p be -6*(-3000000)/f*1. Round p to the nearest 1000000. -2000000 Let k(z) = -10108*z**2 + 10*z - 8. Suppose -c - 3 = 5. Let d be k(c). What is d rounded to the nearest 10000? -650000 Let m = -97292857 + 97292898.9999976. Let p = 181 + -139. Let s = m - p. Round s to 6 decimal places. -0.000002 Let h = -9.711 + 6.59. Round h to zero decimal places. -3 Let f = -76031 - -76049.9788. Let o = 26.038 + f. Let p = 45 - o. Round p to 3 decimal places. -0.017 Let h = 0.546 + -0.5237. Let g = h - 0.01395. What is g rounded to 4 decimal places? 0.0084 Let u = -7893641108.0000621 - -7893640558. Let o = u + 550. Round o to five decimal places. -0.00006 Suppose 5*x = 6*i - 2*i + 7, -13 = -5*i - x. Let c be (-20714972)/(-44) - (i - (-24)/(-11)). Suppose -2*t = c + 155205. Round t to the nearest 10000. -310000 Let v be (-8*(-5)/200)/((-1)/(-109616495)). Let o = 42223299 - v. Round o to the nearest 1000000. 20000000 Let y = 16658 + -36678. What is y rounded to the nearest one thousand? -20000 Let o(h) = -h**3 + 19*h**2 - 32*h + 5. Let j be o(17). Suppose 9*s + j + 51 = 0. Let w be (5/s - -1) + (-40001)/2. Round w to the nearest 10000. -20000 Let d = -11.33107 + 10.949. What is d rounded to one decimal place? -0.4 Let h = 2168.8775 + -2169. Round h to two decimal places. -0.12 Let t = -7.646 + 7.40364. Let a = -0.243 - t. Round a to 4 decimal places. -0.0006 Let s(x) = -54*x - 8. Let o be (-27)/(-12) - (20/(-16))/(-5). Let l be s(o). What is l rounded to the nearest 10? -120 Let x = 7300 - 7091.05. Let b = x - 209. Round b to 1 dp. -0.1 Let a = -8970 + 4502. Let w = 4734.9 + a. Let h = w - 254. Round h to the nearest integer. 13 Let j = 689.823 + -734.01. Let b = j + 0.387. What is b rounded to 0 dps? -44 Let i = 96 - 160. Let n = -2472.338737 + 2536.33873647. Let o = n + i. Round o to seven dps. -0.0000005 Let u = -0.4528 + -74.0072. Round u to the nearest ten. -70 Let p = 26070 + -26069.90017. Round p to 3 decimal places. 0.1 Let g = 64.413 - -21.728. Let t = g + -94.13462. Let j = 8 + t. Round j to three decimal places. 0.006 Let z = -281.0281 - -0.0281. Let l = 280.68440068236 - -0.31559588764. Let s = z + l. Round s to seven dps. -0.0000034 Let m = -358 + 184. Let v = 174.00000113 + m. Round v to 7 decimal places. 0.0000011 Let l be 32/112 + (91963180/(-28) - 1). What is l rounded to the nearest ten thousand? -3280000 Let k = -495.98336871 - -0.03196871. Let c = k + 496. Round c to 1 decimal place. 0 Let o be ((-148)/(-18))/2 - 47/423. Let t be 252/(-3)*(892/8 - o). Round t to the nearest 1000. -9000 Let m = -8145006.5332 + 8147472. Let q = 2466 - m. What is q rounded to two dps? 0.53 Let h = -10007 + 10007.0000007049. What is h rounded to 7 dps? 0.0000007 Let y = -24571 + 26284.954. Let w = y - 1717.9540208. Let r = -4 - w. Round r to 6 decimal places. 0.000021 Let b = 347144264 + 798675736. What is b rounded to the nearest one million? 1146000000 Let g = 653 + -464. Let q = -1.9 - -88.3. Let c = q - g. Round c to the nearest ten. -100 Let t = 933.9 + -0.9. Let x = t + -933.01262. What is x rounded to 3 decimal places? -0.013 Let v = -0.5289 + 0.58. Let m = 0.1393 + -0.0404. Let u = v - m. Round u to three decimal places. -0.048 Let x be (0 + -1)/(4/(-16)). Suppose -2*l = -351020 - 236980. Suppose -3*i = -2*g - 3*g - 441000, 2*i - l = x*g. What is i rounded to the nearest 10000? 150000 Let f = 36285462.99999776 + -36285534. Let r = 86 + -157. Let v = r - f. Round v to 7 decimal places. 0.0000022 Let z = -5369313176.9809776 - -5369285192. Let c = 27985 + z. Let n = 0.019 - c. What is n rounded to six decimal places? -0.000022 Let d = -2590.083933 - -2590.1. What is d rounded to four dps? 0.0161 Let n = 1.3480611 - -5722856.6519389. Let t = n + -5722885.80231. Let u = t + 27.8. Round u to four decimal places. -0.0023 Let w = -94338516.55 - -94337512.5502594. Let r = -1004 - w. Round r to 5 dps. -0.00026 Let o = 9191484.2500069 + -9191485. Let m = -0.75 - o. What is m rounded to 6 dps? -0.000007 Let k = -5695.93494 + 6000.934951. Let s = -305 + k. Round s to six decimal places. 0.000011 Let l(m) = m**2 - m + 1. Let v be l(2). Let j be (7/14)/(1/8). Suppose -4*p - 263985 = v*u, -p - j*p - 4*u - 329980 = 0. Round p to the nearest ten thousand. -70000 Let x(t) = -9 + 12 + 19 + 410*t - 73*t. Let c(r) = 5*r**3 - 3*r + 2. Let f be c(1). Let g be x(f). Round g to the nearest 100. 1400 Suppose 26*k + 9 = 25*k. Let g(j) = -1. Let d(l) = 57777*l - 3. Let p(x) = d(x) + 4*g(x). Let n be p(k). What is n rounded to the nearest 100000? -500000 Let q = -2145.46 + 2151. Round q to the nearest integer. 6 Let z = 12895905 + -12896685.9601. Let l = z - -781. What is l rounded to two dps? 0.04 Let y = -243 - -41. Let i = y + 201.9999904. Round i to five dps. -0.00001 Let k = 559841 - 559413.819. Let v = k - 399.75. Let g = 0.069 + v. What is g rounded to the nearest integer? 28 Let a = -4383.953 + 4390. What is a rounded to one decimal place? 6 Let o = -23499.7 + 23454.70032. Let r = -28 - -73. Let j = o + r. Round j to four dps. 0.0003 Let q = -805696683 + 805696898.9999396. Let w = q - 216. What is w rounded to six dps? -0.00006 Let i = 107751.098 + -109230.9. Let b = -1481 - i. What is b rounded to 1 decimal place? -1.2 Let x = 25280 - 26151.7. What is x rounded to the nearest one thousand? -1000 Suppose 13*f - 17*f + 16 = 0, -5*q + 1061004 = f. Let p be (10*q)/(2*4/40). Round p to the nearest 1000000. 11000000 Let y = 40 - 40.02. Let w = y - -71.02. Let i = w + -71.0003. What is i rounded to 3 dps? 0 Let r = -23.292 + 11.283. What is r rounded to zero decimal places? -12 Let l = -0.0803 - 74.9197. Let j = -74.6054902 + -0.3940698. Let s = l - j. Round s to four dps. -0.0004 Let o(l) = -8841*l**3 - 740*l**2 + 6*l - 19. Let u be o(7). Round u to the nearest 10000. -3070000 Let n(j) = 7388887*j**2 + 20*j - 27. Let z be n(9). Suppose -232*m - z = -227*m. What is m rounded to the nearest one million? -120000000 Let g(f) = 809706*f - 578. Let p be g(13). What is p rounded to the nearest 1000000? 11000000 Let n = 257.113329 - 257.15. What is n rounded to two decimal places? -0.04 Let s = 1.5 - 2.02. Let v = -1452044.96 - -1452044.4
{ "pile_set_name": "DM Mathematics" }
Is 157 at most as big as 965? True Are -1/3 and -619/163 equal? False Which is smaller: -74/5633 or 0? -74/5633 Which is smaller: -2153 or 58? -2153 Are -995301 and 2/3 equal? False Is -4040300 at most -4040302? False Is -29240 <= -29240? True Which is greater: -1/1346021 or 1? 1 Which is bigger: -1626 or 1/27? 1/27 Which is smaller: 66697 or 66705? 66697 Which is smaller: 1 or 66/1501? 66/1501 Is -8805 at least as big as -8794? False Is -3339 >= -3339? True Is 1561 != -612? True Which is smaller: -1 or 15668? -1 Is -8/7631 at most 1? True Which is smaller: 19037 or 5? 5 Which is bigger: 99613 or 39? 99613 Which is smaller: 1 or 1/1754571? 1/1754571 Are -72/97327 and -1 nonequal? True Is -85/3086 greater than 1? False Which is smaller: 0 or 2/3235543? 0 Which is smaller: 1 or 255/25054? 255/25054 Which is bigger: -1215 or -356? -356 Is -2722397 > 0.1? False Which is greater: 7771 or 7773? 7773 Is 4691 greater than or equal to 258044/55? False Which is bigger: -617291/7 or -88183? -88183 Is -9761794 less than or equal to -9761794? True Are -114174 and -114175 non-equal? True Which is smaller: -2/59 or 2/303? -2/59 Do 3364 and 2/403 have different values? True Is 5 less than 238908? True Is -558/25 at most as big as 129? True Is -11/4 >= 7.4495? False Are 121 and 1459/12 equal? False Which is greater: 11568 or 11567? 11568 Which is smaller: 3 or 1675/1052? 1675/1052 Is 0 at least as big as 2/119455? False Which is bigger: -6201139 or -6201140? -6201139 Is 18206 > 18207? False Which is bigger: -34272.3 or 4? 4 Which is smaller: -76162 or -76159? -76162 Is -839 smaller than 1.1? True Does -54164 = -54165? False Which is smaller: -2459 or -63913/26? -2459 Is 6/954263 smaller than 1? True Does -109/1594 = 1? False Do -269 and -20 have the same value? False Are -26836/109 and -246 non-equal? True Which is bigger: 2306 or 2313? 2313 Which is bigger: 132498 or 0.1? 132498 Which is smaller: 1 or -3/127813? -3/127813 Is 211 < 3994/19? False Which is smaller: -0.1 or 176586? -0.1 Which is bigger: -158088 or -158095? -158088 Are -0.04 and 130/3 unequal? True Which is smaller: 1/76809 or 0? 0 Which is greater: 0 or -12/25423? 0 Is 21293 <= 21295? True Is -4216 less than -71687/17? False Which is greater: -565178 or -5? -5 Is -198 at least as big as -1604? True Which is smaller: 191873 or 767489/4? 767489/4 Which is smaller: 2286 or 2183? 2183 Which is bigger: -947 or -908? -908 Is -18 bigger than -3129.6? True Is -47887 less than or equal to -47885? True Is 13/4 > -82784? True Which is greater: -159598 or -159595? -159595 Which is greater: 210564 or -4? 210564 Which is smaller: 81/2 or -0.0602? -0.0602 Is 113 at least as big as 9.94? True Which is greater: -2174555 or -2174554? -2174554 Which is smaller: -75549 or -75552? -75552 Which is smaller: 1.385 or 118? 1.385 Which is greater: 18084 or 18087? 18087 Which is smaller: 1954/87 or 21? 21 Is -1/143684 less than 1? True Which is bigger: 8 or 2898/335? 2898/335 Is 13282/3 < 4427? False Which is smaller: -1240 or -284? -1240 Which is smaller: 12935 or 64671/5? 64671/5 Which is smaller: 21402 or 21404? 21402 Is -8196 greater than -8196? False Which is smaller: 1/3416009 or 1? 1/3416009 Are 2454648 and 2454652 nonequal? True Is 1419.4 greater than 5? True Which is smaller: 273 or 671/4? 671/4 Which is bigger: -21060 or -21057? -21057 Which is smaller: -6/47 or -14/3? -14/3 Is 28553 at least as big as 28553? True Which is smaller: -3977/8 or -498? -498 Which is smaller: 1 or -7/42439? -7/42439 Which is smaller: -994 or -446? -994 Are -5583/328 and -18 nonequal? True Is -20 at most as big as -27039? False Is 6412 != 6491? True Which is greater: 586 or -53? 586 Which is bigger: -2036/7 or -290? -290 Which is greater: 10 or 24486/2383? 24486/2383 Which is smaller: 5587 or 117338/21? 5587 Which is bigger: 7/6 or 10/4509? 7/6 Is -22 greater than 90/7? False Which is bigger: 17.1529 or 1/2? 17.1529 Do -259/163 and 2 have the same value? False Is -75377 < -75375? True Which is greater: 1812942/5 or 362589? 362589 Is -31 at most 142? True Which is smaller: -1 or 13/2954? -1 Do -389675 and -2/7 have different values? True Which is smaller: -1636 or -34/7? -1636 Which is smaller: -4133 or -4147? -4147 Is -94204 < -94204? False Which is bigger: 0.03 or 71360/11? 71360/11 Is 206917 > 206917? False Are 21100 and 63302/3 equal? False Is 4693 < 84467/18? False Is 32439 greater than 32438? True Which is greater: 2 or 161/187? 2 Is 4.497 at least as big as -39? True Which is bigger: 0 or 4608/3617? 4608/3617 Is 48577 > 48577? False Does 18/7 = -4/1777? False Is 1 >= -23931? True Which is greater: -670432/13 or -51573? -670432/13 Is 1017 bigger than 31531/31? False Which is bigger: -1/4 or -74181? -1/4 Is -17/41966 not equal to 0? True Is -16.24 greater than or equal to -103? True Is -807/7741 not equal to -1? True Is -1/935288 > 0? False Which is smaller: 76/11 or -0.134? -0.134 Is -1763 at least as big as -1772? True Which is greater: 2106015 or 2106016? 2106016 Which is greater: 331 or 786? 786 Is -77081 less than -77077? True Which is bigger: 39243/25 or 1569? 39243/25 Are 0.1 and 7/20159 equal? False Is 10164 at least as big as 10172? False Do -1 and -2/2687 have the same value? False Which is greater: -1162/4461 or 0? 0 Is -1.9 greater than or equal to 1948/9? False Which is greater: -727 or -52996/73? -52996/73 Is 822/391 >= 1? True Is -22525 less than -22491? True Which is smaller: -14900/237 or -63? -63 Which is smaller: 57/12463 or -1? -1 Which is greater: -3834 or -2? -2 Which is smaller: 9543 or 9530? 9530 Which is bigger: -1902 or -1913? -1902 Is -521 at least as big as -2725? True Which is greater: 3/4030 or 1? 1 Is 6865 at least as big as 6865? True Which is smaller: 14584 or 0.1? 0.1 Is -5729 less than or equal to 18? True Which is smaller: -6962 or -7252? -7252 Is 3 smaller than 2714.43? True Which is bigger: 77 or 477? 477 Which is bigger: 87938 or 87939? 87939 Is -73 greater than -369? True Is -6173 greater than -6194? True Which is greater: 27/65 or -21? 27/65 Are -1 and 513150 equal? False Which is smaller: 5098 or 11? 11 Is -0.2 bigger than -36.7325? True Is 0 > 204/11? False Is 1206 < 1177? False Is -38 equal to -1825/47? False Is 202848 greater than 202850? False Does 120324/43 = -2? False Which is greater: -4.03 or -79? -4.03 Are 1 and -58/3047 nonequal? True Are -272110 and -272110 non-equal? False Is 0 at least as big as 443/991? False Are 28150/117 and 240 equal? False Which is greater: 88245 or 88242? 88245 Which is bigger: 3323433 or 3323432? 3323433 Is -16 at least as big as -122898? True Is 1/3 < -321814? False Which is bigger: 5/2 or -1418? 5/2 Which is greater: -0.1 or 80234? 80234 Which is bigger: -2566510 or -2566512? -2566510 Which is smaller: 191051/4 or 47764? 191051/4 Are 0 and 36/43205 equal? False Which is smaller: 410 or -1504? -1504 Is -111003 != -222007/2? True Is -466191 >= 2? False Is 0 less than or equal to 0.0358464? True Does 5401199 = 5401198? False Is -916/39 bigger than -23? False Which is bigger: -1 or -312/5185? -312/5185 Are 0 and 25/27787 non-equal? True Which is bigger: -58041/70 or -830? -58041/70 Is 372019 equal to -3? False Are -7 and 7/10060 unequal? True Which is bigger: 1966/1137 or 1? 1966/1137 Is 328695 < 328695? False Do 11093/3 and 3697 have different values? True Is 49/524 <= 1? True Is 3975 greater than 31809/8? False Which is smaller: 2/7810899 or 1? 2/7810899 Is 120 equal to 13704/113? False Which is greater: 67147/6 or 11190? 67147/6 Is 1 equal to -2/17725191? False Which is bigger: 0 or -128/4333? 0 Do -1 and 21/827422 have the same value? False Which is greater: -7912 or -102874/13? -7912 Is 88 greater than 4041/5? False Which is smaller: 0 or -287/1605? -287/1605 Which is bigger: -4466188 or -4466189? -4466188 Which is greater: -2.26465 or -0.1? -0.1 Is -25030 > 52? False Is -6253 less than -6256? False Is 1 greater than -3/190241? True Is -827694/17 less than or equal to -48689? False Is -6541 <= -379449/58? False Is 58325 smaller than 58324? False Is 494 at most -1/2284? False Which is bigger: 0 or -49/9739? 0 Which is smaller: 263/13 or -4? -4 Which is smaller: 0 or 8/35? 0 Which is bigger: 549/62 or 9? 9 Which is smaller: 446321 or 0? 0 Which is
{ "pile_set_name": "DM Mathematics" }
- 2. Let m be t(5). Let f = m - 74. Solve -f*r + 17 = 5 for r. 3 Suppose -3*h - h + 20 = 0. Let p be (h/(-15))/(2/(-108)). Let s = p + -14. Solve -2*i - s = 2 for i. -3 Let a be (-8)/36 - (-685)/45. Solve -4*d + 3 - a = 0 for d. -3 Let o(k) = 6*k + 3. Let d be o(3). Let f = d + -19. Solve 4 = -2*s - f for s. -3 Let s = 245 + -243. Solve 0 = -s*h + 6*h - 12 for h. 3 Suppose 229 - 271 = -14*h. Solve 12 = -3*f + h for f. -3 Let h(w) = -2*w - 8*w + 9*w - 2*w**3 - 7 + 4*w**2 - 24*w**2. Let g be h(-10). Solve -4 + g = -n for n. 1 Let f be -6 + (3 + -11)/(-4). Let l = 3 - f. Suppose -p = -u + 1 + l, 2*p = -8. Solve 2*i + 2*i = -u for i. -1 Let k(j) = 2*j**2 + 3*j + 3. Let l(w) = 2*w**2 + 4*w + 4. Let o(n) = 4*k(n) - 3*l(n). Let v be o(2). Let s be v/(-24)*(-8 + -1). Solve -s*y + 4 = 10 for y. -2 Suppose -3*z = -7*z. Suppose -k + 7 + 0 = z. Let l = k - 7. Solve l = -2*b + b + 2 for b. 2 Let w(z) = -z**3 + 18*z**2 - 34*z + 37. Let o be w(16). Solve -o*v + 0*v + 5 = 0 for v. 1 Suppose -169*t + 152*t = -34. Let s = 8 - 6. Suppose 2*j - 18 = 4*i, -j - j + s = 4*i. Solve -t*m = -j*m + 15 for m. 5 Suppose 4*w + 145*l - 143*l - 80 = 0, 26 = w + 2*l. Solve -28 + w = 5*x for x. -2 Suppose 2*v + 3*k = 11, 4*k + 8 = -4. Solve 0 = -v*a + 14*a for a. 0 Let i(f) = f**3 - 5*f**2 + f + 8. Let m be i(5). Let l(t) = t**3 + 4*t**2 - 5*t + 5. Let x be l(-5). Suppose 0 = -4*c + 6 + 6. Solve c = x*s + m for s. -2 Let r be (-1)/(-5) + 833/85. Solve -r = 3*z + 2*z for z. -2 Let t(n) = n**2 - 1. Let p(i) = -3*i**2 + 11*i + 16. Let q(u) = p(u) + 2*t(u). Let f be q(12). Solve 0*k = f*k - 10 for k. 5 Suppose 2*f = -5*n + 3*f + 72, -36 = -2*n + 4*f. Let v be (-3 - (-2 + -3)) + 2. Suppose v*g - n = 2. Solve -g = 3*l + 2 for l. -2 Let f = 69 + -67. Let b be (8/10)/(7/(-35)). Let d = 8 + b. Solve 0 = -d*a + f*a - 10 for a. -5 Let u be -124 + (-224)/48*6/(-7). Let w be (-1 + 3/(-15))/(18/u). Solve q = -q + w for q. 4 Let o(u) = 6*u - 59. Let z be o(13). Solve -v - z = -15 for v. -4 Let r be ((-32)/208 - 0) + (-7945)/(-13). Solve 3*o - r + 608 = 0 for o. 1 Let l = -3 - 3. Let x(g) = -g**2 - 6*g - 2. Let q be x(l). Let r be 1/((q - 1)/(-3)). Solve 0 = w - 0 - r for w. 1 Let j = -3 + 8. Let p be (2 + (-15)/3)*-1. Suppose 7 = j*b - p. Solve -b*h = -5*h - 3 for h. -1 Suppose 0 = -3*g - h + 9, 5*h - 18 = -3*g + 3. Let a be 2*g/((-6)/(-3)). Solve -5 = a*n - n for n. -5 Let q = 199 + -197. Solve q*u - 4*u - 6 = 0 for u. -3 Let x be ((-48)/(-1 - -3))/(-1). Let y be (-1)/(0 + (-4)/x). Suppose -t = -y*t. Solve t + 2 = d for d. 2 Let f(s) = 2*s**2 - 15*s + 17. Let i(a) = a**2 - 8*a + 9. Let m(d) = 3*f(d) - 5*i(d). Let b be m(4). Suppose 1 = -t + b. Solve -3 = -p + t for p. 4 Let f = 113 + -98. Solve 5*g = 8*g + f for g. -5 Let o be -6*((-2)/4)/(12/16). Solve o = 6*g - 14 for g. 3 Suppose 100*u + 170 = 5*d + 95*u, -176 = -5*d - u. Solve d = 14*s - 21*s for s. -5 Let w(t) = -7*t**3 + 13*t**2 + 4*t + 11. Let i(m) = -m**3 + m**2 + m. Let g(p) = 6*i(p) - w(p). Let a be g(7). Solve 0*h = -3*h + a for h. 1 Let q = 1 - -1. Let h = 3 - -1. Suppose 3*a - 8 = h. Solve -z + q*z = -a for z. -4 Let o be (-4)/8 - 1/(-2). Solve -r - 3*r + 4 = o for r. 1 Let z = 36 - 77. Let i = z - -48. Solve -i*o = -2*o - 25 for o. 5 Let j = -66 + 67. Let g(t) = -t**3 - 2*t**2 + 2*t + 1. Let x be g(j). Solve l + 3*l + 12 = x for l. -3 Let y = 0 + 5. Let d(z) = -z + 7. Let a be d(y). Solve -a*h - 6 = h for h. -2 Suppose -k + 20 = h - 3*k, -k = 2*h - 40. Let i = h + -17. Solve o = -i*o - 20 for o. -5 Let o(y) = y**2 + 15*y + 38. Let u be o(-8). Let v be 2/6 + (-174)/u. Solve 6 + v = 4*q for q. 4 Let i be 10*(114/15 - 7) - -7. Solve 10*c = i*c - 9 for c. 3 Suppose -6*s - 20*s + 52 = 0. Solve s*t + 0 = 4 for t. 2 Let w(x) = x**3 - 5*x**2 + 6*x + 2. Let f be w(4). Suppose -2*r = 2 - f. Let v be 2/6 + 22/6. Solve -v*k + 0 = r for k. -1 Suppose -91*d + 11 = -87*d - 5*i, d = 4*i. Let f = -1 - -4. Solve -d*m - 1 - f = 0 for m. -1 Let g be 2 - -3 - -2*2/(-4). Solve -15 = b - g*b for b. 5 Let p = -1743 + 1760. Solve -17*o + p = -0*o for o. 1 Suppose g - 3*k + 8 + 6 = 0, 2*k = 8. Let s be (g/3)/((-1)/15). Let t be (-135)/60*(-16)/18. Solve -2*l = -s + t for l. 4 Suppose 2*p + 0 - 7 = r, 0 = r + 1. Let k(v) = 14*v - 14. Let h(w) = 16*w - 15. Let u(s) = -6*h(s) + 7*k(s). Let z be u(8). Solve -p*x - x = -z for x. 2 Let i(g) = -g**3 + 3*g**2 + 10*g + 12. Let y be i(0). Solve -11*x + y = x for x. 1 Suppose -t = 2*t + 3*x - 792, 2*t - 5*x = 556. Solve 0 = t*u - 266*u - 8 for u. 4 Let z(q) = 2*q**3 + 2*q**2 - 6*q + 4. Let a be z(3). Let h = a - 51. Solve 0 = -g - 2 + h for g. 5 Suppose 0 = 6*t - 27 - 9. Suppose -4*k = q - 12, -2*q - t = q - 2*k. Solve -2*i + 7 + 3 = q for i. 5 Suppose g - 144 = 5*i + 86, 3*i + 155 = 4*g. Let w be (-9)/(i/(-10)) + 6. Solve w*d + 1 = 9 for d. 2 Let h(g) = g - 4. Let p be h(3). Let t be p/(-5) - 76/(-20). Let x(r) = r**3 - r**2 - r - 2. Let v be x(2). Solve -t*o - 16 = -v for o. -4 Let w(t) = -t**3 + 3*t**2 - 2*t. Let f be w(2). Suppose -4 = -f*k - k. Suppose -k*r + 0*r - 12 = 0, -2*j - 5*r - 11 = 0. Solve -j*n + 10 = -0 for n. 5 Let z = -615 - -625. Solve -l = l - z for l. 5 Let c be ((-4)/2)/(4/8) + 12. Let k(b) = b**3 - 9*b**2 + 9*b - 6. Let q be k(c). Solve -q*t + 6 = -0 for t. 3 Let j = -14 - -15. Let z(g) = g**3 + 12*g**2 - 13*g. Let t = 1 - 14. Let a be z(t). Solve -i + 3 - j = a for i. 2 Suppose 2*m - 3*m = 3. Let h = m - -9. Solve -z + h = 1 for z. 5 Suppose -g + 0 = -2. Let x be (1 - 2)*(3 - (9 + -4)). Let d be 13 - (x + -1 + g). Solve 0*j - d = 5*j for j. -2 Let p(z) = -1. Let d(m) = m**2 + 4*m. Let b(y) = d(y) - 3*p(y). Let u be b(-3). Solve u*v + 10 = 2*v for v. 5 Suppose 2*c + 4 = -2*b + 14, -5*c - 4*b = -30. Let w(m) = 4*m**2 + 5*m**2 - c*m**2 + 1. Let a be w(-1). Solve 4*p - p + 15 = a for p. -5 Suppose -2*r = 2*c - 28, -183*c + 182*c - 3*r = -14. Solve 0 = 21*a - c*a for a. 0 Let t = 2066 - 2062. Let w be (-6)/(-4)*20/6. Solve -t = -w*y - 14 for y. -2 Let l = 52 - 47. Suppose -21 = -3*w - 3*o, l*w + 2*o + 0 = 20. Solve -w*s = -s + 3 for s. -3 Let v = 6 - -2. Suppose 2 + 7 = 3*d. Suppose -5*t + d = -b, 3*b = 5*t - 2*t - 9. Solve -4*l + t = v for l. -2 Let b(v) = 3*v + 3. Let u be b(8). Let r = u + -23. Solve -15 = -7*g + r*g for g. 5 Let t = -1447 - -1467. Solve -5*c - t + 35 = 0 for c. 3 Suppose 0 = -2*a + 3*d - 11, -5*d = 2*a - 0*a - 29. Let g be (-3)/(12/(-16)) - (-3 + a). Solve -g*j + 2*j = 9 for j. -3 Suppose 88 - 81 = v. Solve -3*i + 10 - v = 0 for i. 1 Suppose 31 - 61 = -10*f. Solve f*i - 1 + 4 = 0 for i. -1 Suppose -21*n + 60*n = 507. Solve 4*h = n*h - 9 for h. 1 Let s be 7 + (-2)/((-3)/(-3)). Let x = s + -3. Let u = 145 - 133. Solve 0 = -x*d - 2 + u for d. 5 Let q be (-8)/4*(-138)/(-12). Let v = -20 - q. Solve v*l - l = 0 for l. 0 Let i be (-4)/(-8)*((168 - -5) + -7). Solve 1 = -82*z + i*z for z. 1 Let b = -107 - -115. Let j be 2*(0 + b/4). Solve 3*c - j = -c for c. 1 Suppose 5*a + 43 = 3. Let s be (17/4)/((-2)/a). Let c = s - 11. Solve 4*z = -26 + c for z. -5 Suppose -5*n - 2*l - 58 = 0, 2*n = 4*l - 4 - 24. Suppose -23*m - 25 = -18*m. Let f be (-1)/m - n/15. Solve 3*s = f + 2 for s. 1 Let j(d) = 6*d - 11. Let q be j(4). Suppose q*y - 32 = 241. Solve 5*h + 6 = y for h. 3 Suppose 3*w = 20 - 5. Let h be 32/(-40) - (-129)/w. Solve -2*a = 3*a - h for a. 5 Let b = -52 + 84. Let v be 6*(-4)/b*-4. Solve -3 = -3*g + v for g. 2 Suppose 2*a - 26 = -c, -3*a = 6*c - 2*c - 49. Solve 0 = -4*v - a + 15 for v. 1 Suppose -5*r + 10 = 0, -17*p + 13*p = 2*r - 52. Solve 16 = -4*k + p for k. -1 Suppose 2*d = -m + 80, 34*m - 39*m + 154 = 4*d. Solve -9*z - d = -50 for z. 1 Suppose h - u + 1 = -2*u, 4*u + 24 = h. Suppose -2*r - 71 = -5*w, 5*w + 3*r = 63 - 7. Suppose -z = s - 9, s = -h*z + 2*z + w. Solve -3*k = -z*k for k. 0 Let i(w) = w**2 - 8*w - 7. Let s be i(9). Suppose -19 = s*g - 4*g + 5*y, 0 = -5*g - 2*y + 4. Suppose -9*d + 23 + 58 = 0. Solve g*x - d = -x for x. 3 Suppose g + 4*g = 15. Suppose 5 - 1 = g*v + 4*w, 0 = 2*v - 2*w - 12. Let c(k) = k**3 - 2*k**2 + 2. Let u be c(2). Solve -14 = -v*d - u for d. 3 Suppose 8 = -7*h - 104. Suppose -3*j = -j + 30. Let u = j - h. Solve 0 = -3*m + 10 - u for m. 3 Suppose -7 + 17 = 2*d. Suppose -3*a + 4*s + 20 = -0*a, -d*a + 15 = -3*s. Solve a*k = -k + 3 for k. 3 Suppo
{ "pile_set_name": "DM Mathematics" }
311. What is the highest common divisor of l and m? 1 Let v(w) be the first derivative of -w**3/3 + 33*w**2/2 - 63*w - 191. Let i be v(26). Calculate the highest common divisor of i and 21. 7 Let v(m) = 54*m - 1730. Let w be v(33). What is the greatest common factor of 6 and w? 2 Suppose -3*b = 22 - 127. Suppose -k + 159 = -5*w, 4*k - 2*w - 3*w - 651 = 0. Let v = 178 - k. Calculate the highest common factor of b and v. 7 Let r(i) = 9*i - 181. Let d be r(23). Suppose -3*k + 2*u = -20, -6*k + 2*u + d = -2*k. Suppose -7 = -w + 5. What is the greatest common divisor of k and w? 6 Suppose -5*c = -k - 5, -c = 4*c + 5*k + 25. Let m be 48*(c - 15/(-20)). Let r be ((-12)/(-7))/(m/378). Calculate the highest common divisor of r and 63. 9 Suppose 0 = 5*x - 2*o - 808, 5*o - 15 - 314 = -2*x. What is the highest common factor of x and 846? 18 Let k(h) = 2*h**2 - 11*h - 100. Let j be k(14). What is the greatest common factor of j and 8487? 69 Let n = 139154 + -139148. Let c(g) = 19*g**2 + 3. Let a be c(-3). Calculate the greatest common divisor of a and n. 6 Suppose 10*r = 19*r - 36. Suppose 423 = 4*l - 4*k + 55, -l + 95 = -r*k. Calculate the highest common divisor of 7 and l. 7 Let t be (-3)/(-6)*8*-1. Let z be (-882)/10*(4 - (t + 13)). Calculate the highest common divisor of 126 and z. 63 Suppose -104 - 112 = -9*j. Suppose 23*k - 6 = j*k. Let g(u) = -2*u**2 - 12*u + 12. Let c be g(k). What is the greatest common divisor of c and 24? 12 Let m(w) = 4*w**2 + 4*w - 16. Let u(b) = b**3 + 11*b**2 - 9*b + 39. Let p be u(-12). Let t be m(p). What is the highest common divisor of t and 144? 16 Suppose -2*i = -2*y - 184, -5*i + 8*y + 460 = 7*y. Suppose -i*q + 112*q - 7440 = 0. What is the greatest common factor of q and 24? 12 Let x be (-1 + (-1 - 232))*27/(-54). Calculate the greatest common factor of 4329 and x. 117 Suppose d + 5*j - 88 = 0, -5*d + 644 = 2*j + 135. Calculate the highest common factor of 103 and d. 103 Let m be 12 - 68/12*-147. Calculate the greatest common divisor of 2405 and m. 65 Let j = -255 - -687. Suppose -619*c + 534*c + 1374 = -666. Calculate the highest common divisor of c and j. 24 Let x(d) = d**2 - 2*d - 33. Let v be x(-6). Suppose -4*i = 5*r - 1253, -10*r - 1271 = -v*r + 2*i. What is the highest common factor of 11 and r? 11 Let w = -923 + 508. Let o = w + 705. What is the greatest common factor of o and 20? 10 Suppose -51 = p - u, 0 = 3*p + 4*u - 2*u + 143. Let s be (-9)/(-21) - 7/(p/242). What is the greatest common factor of 7 and s? 7 Let w be (115/20 + -5)/(4/4944). Calculate the highest common divisor of w and 18. 9 Suppose 5*j = 9 + 11. Suppose -4*q + 3*z - 4*z = j, -3*q = 4*z + 16. Suppose -4*p + y + 8 = -p, q = 4*y - 4. What is the greatest common divisor of 1 and p? 1 Let y = 118977 - 118964. Let l(j) = j**2 - 4*j + 5. Let f be l(4). Suppose -4*i = -f*i + 169. Calculate the greatest common factor of y and i. 13 Suppose 0 = 2*v - 5*v + 42. Let q = -111 + 208. Let y = 125 - q. What is the greatest common divisor of v and y? 14 Suppose -1112532 = 411*w - 5038404. What is the highest common factor of 72 and w? 24 Suppose 7*p - 198 = 8*p - m, 0 = -2*p + 3*m - 393. Let n = p + 205. Calculate the greatest common factor of n and 26. 2 Suppose 19*m + 17*m = 216. Suppose 2*q - 3*o - 101 = 0, -m*q + 5*q = -4*o - 48. What is the highest common factor of 65 and q? 13 Let m = 1033 + 397. Suppose 8*a + m = 10*a. Calculate the highest common divisor of 55 and a. 55 Suppose -555*u = -518*u - 148. Let h = 116 + 368. What is the greatest common factor of u and h? 4 Suppose 20*z = -17116 - 4284. Let m = -494 - z. Calculate the greatest common divisor of m and 9. 9 Let t = -336 + 348. Let j be (20/6)/((-8)/(-72)). Let u = j + -6. What is the greatest common factor of u and t? 12 Let w be -2 + 5 + 0 - (-4 - -169). Let h = w + 207. Calculate the highest common factor of h and 495. 45 Let f = -310 + 312. Suppose 3149 = f*p - 5*c, -542 = -5*p - 4*c + 7248. Calculate the highest common divisor of 22 and p. 22 Let h = -10318 - -15066. Suppose -3796 = 4*m + 3*n, -5*m + n - h = 4*n. Let l be m/(-63) - 2/18. What is the highest common factor of 3 and l? 3 Let k be -10*(-6 + 10)*(708/(-30) + 5). What is the greatest common factor of k and 3069? 93 Let o(r) = -24*r + 4*r - 18*r**2 - 17*r**2 + 44 + 33*r**2. Let g be o(-10). What is the greatest common divisor of g and 11? 11 Let r be (394 - 0) + 1/((-7 - 1)/32). Calculate the highest common divisor of 75 and r. 15 Suppose -12*g + 12 = -8*g, 2*g - 1796 = -2*k. Let h = 915 - k. What is the greatest common factor of h and 1220? 20 Let w = 1280 - 371. Suppose -2*s - 936 = -q - 3*q, 2*s + w = -5*q. Let o be ((-6)/(-4))/((-33)/s). What is the greatest common factor of 63 and o? 21 Suppose -3*q = j + 28, -j = -2*j + 4*q. Let g = -3 - j. Suppose -21*p + 33*p - 1248 = 0. What is the greatest common factor of g and p? 13 Let q be (49/14 + -4)*12 - -42. Suppose 0 = -0*y - q*y + 144. Let f = 39 + -23. Calculate the highest common factor of y and f. 4 Let b be (-212)/(-53) - (468/(-3) + 0). Suppose 0*k = -2*q - k + 20, -q + 10 = -3*k. What is the highest common factor of b and q? 10 Let z be (-1905)/(-45) - (-4)/(-3). Suppose -37*v = -z*v + 100. What is the greatest common factor of 30 and v? 5 Let t be (-6)/(-9) - (3 - (3 - 34))/(-3). Calculate the greatest common divisor of t and 31764. 12 Let o be (2 - 1)/(9/(-2133)). Let s = -97 - o. Calculate the highest common factor of 7 and s. 7 Let i = 107 + 71. Let z = 181 - i. Suppose -4*h + 6*r - r + 73 = 0, 0 = 4*h + r - 43. Calculate the highest common divisor of h and z. 3 Let r(m) = -411*m - 123. Let q be r(-1). What is the greatest common divisor of q and 234? 18 Let y(h) = h + 6. Let t be y(-4). Let s be (4053/(-49) - 4/14) + t. Let p be (-2 - -4)/((-9)/s). Calculate the greatest common factor of p and 45. 9 Suppose 3*l - 95 + 29 = 0. Suppose 17*j + 2106 = 23*j. Suppose x - 178 = -2*z, -z = -15*x + 13*x + j. What is the highest common factor of l and x? 22 Let c(b) = b + 48. Let h = -599 - -570. Let k be c(h). Calculate the highest common divisor of 304 and k. 19 Let g = -3 - -7. Let b be (18 - 3)*2320/348. What is the greatest common factor of g and b? 4 Let u be (-2 - -1)*(-5400)/27*2. What is the greatest common divisor of u and 304? 16 Let i be (-21988)/23 + 0 + 4. Let l be (-419720)/i - (-3)/((-102)/(-4)). What is the greatest common divisor of 18 and l? 9 Suppose 3*w + 3*i - 5169 = 0, 7*i = 2*w + 12*i - 3458. Calculate the highest common factor of 9 and w. 9 Suppose 0 = -18*u + 15*u - 63. Let p = u + 25. Suppose -5*q = -4*b + 87, -p*b - 53 = -5*b - 5*q. Calculate the highest common divisor of b and 112. 28 Let b(l) = l**3 - 24*l**2 + 214*l + 18. Let m be b(12). Calculate the greatest common divisor of 363 and m. 33 Let a = 4412 + -4409. Calculate the highest common factor of 753 and a. 3 Let h(k) be the second derivative of k**5/20 + 25*k**4/12 - 29*k**3/3 - 22*k**2 - 109*k. Let l be h(-27). Calculate the greatest common factor of 80 and l. 16 Let r be -4 + 0 - -8 - 4/2 - -764. What is the greatest common factor of r and 1? 1 Let a be (-3)/(-6)*(10 - 2). Suppose d - 3*d + 5*p = 660, 333 = -d + a*p. Let s be 15/6 + d/(-2). What is the greatest common divisor of 33 and s? 33 Suppose 2*u = -21 + 81. Let l be ((-126)/28)/(4/(-440)). What is the greatest common factor of u and l? 15 Suppose 7*s = 3*s - 5*m - 16, m = -5*s - 20. Let r be 8*(-10)/s*1/(-1). Let c be 10/r - 81/(-2). Calculate the greatest common factor of c and 80. 40 Let p = -11207 + 11267. Calculate the highest common divisor of p and 2630. 10 Let i be (-29 + -1)*(-54)/81. What is the greatest common factor of 570 and i? 10 Let q = 2754 + -2054. Calculate the greatest common divisor of q and 425. 25 Suppose 0 = -2*j + 4*x + 12052, 0 = -5*j + 3*x + 17459 + 12685. Suppose -6*o + 73*o - j = 0. Let c = 31 + -21. Calculate the highest common divisor of o and c. 10 Let o be (-1 - 0/(-1)) + -51. Let k = -29 - o. Let y = 197 - -10. Calculate the highest common divisor of k and y. 23 Let f = 515 - 489. Let m be (-7)/(-28) + (-726)/(-8). What is the highest common factor of f and m? 13 Let t be (-525)/6*(-48)/84. What is the greatest common factor of t and 330? 10 Suppose 5*h = -4*o + 93, -38*h - 83 = -43*h + o
{ "pile_set_name": "DM Mathematics" }
between 7:48 AM and 1:55 PM? 367 How many minutes are there between 2:24 AM and 11:54 AM? 570 What is 618 minutes before 12:56 PM? 2:38 AM What is 291 minutes before 8:38 PM? 3:47 PM What is 191 minutes before 5:18 PM? 2:07 PM How many minutes are there between 7:52 PM and 2:36 AM? 404 How many minutes are there between 12:26 PM and 4:24 PM? 238 What is 328 minutes after 1:20 PM? 6:48 PM What is 92 minutes after 11:13 AM? 12:45 PM How many minutes are there between 6:13 PM and 5:40 AM? 687 How many minutes are there between 7:32 AM and 10:54 AM? 202 What is 388 minutes after 4:36 PM? 11:04 PM How many minutes are there between 8:46 PM and 10:23 PM? 97 What is 707 minutes before 3:31 PM? 3:44 AM How many minutes are there between 1:29 AM and 4:22 AM? 173 How many minutes are there between 1:18 PM and 12:15 AM? 657 What is 11 minutes before 7:10 AM? 6:59 AM What is 172 minutes before 2:36 AM? 11:44 PM What is 111 minutes before 8:16 AM? 6:25 AM What is 399 minutes before 7:40 PM? 1:01 PM What is 391 minutes before 7:38 AM? 1:07 AM How many minutes are there between 9:45 AM and 2:38 PM? 293 What is 172 minutes after 4:26 AM? 7:18 AM What is 376 minutes before 7:25 AM? 1:09 AM What is 692 minutes before 6:16 AM? 6:44 PM How many minutes are there between 4:31 PM and 5:12 PM? 41 How many minutes are there between 6:45 AM and 3:06 PM? 501 What is 128 minutes before 11:57 AM? 9:49 AM How many minutes are there between 9:29 PM and 1:39 AM? 250 What is 372 minutes after 11:29 AM? 5:41 PM How many minutes are there between 9:55 PM and 8:18 AM? 623 What is 320 minutes after 5:39 PM? 10:59 PM What is 62 minutes before 3:32 PM? 2:30 PM What is 372 minutes after 10:39 PM? 4:51 AM How many minutes are there between 7:05 AM and 7:24 AM? 19 What is 44 minutes before 3:02 AM? 2:18 AM How many minutes are there between 4:47 PM and 12:30 AM? 463 How many minutes are there between 5:47 AM and 10:36 AM? 289 How many minutes are there between 12:38 PM and 11:42 PM? 664 What is 646 minutes before 4:08 PM? 5:22 AM How many minutes are there between 7:16 PM and 2:59 AM? 463 What is 592 minutes after 1:38 AM? 11:30 AM What is 115 minutes before 1:10 PM? 11:15 AM What is 367 minutes after 3:13 PM? 9:20 PM How many minutes are there between 10:47 AM and 6:06 PM? 439 How many minutes are there between 10:24 PM and 1:28 AM? 184 How many minutes are there between 1:51 AM and 7:51 AM? 360 What is 217 minutes before 1:51 PM? 10:14 AM How many minutes are there between 7:37 AM and 12:14 PM? 277 What is 418 minutes before 3:04 PM? 8:06 AM What is 270 minutes after 1:19 AM? 5:49 AM What is 385 minutes after 12:14 PM? 6:39 PM How many minutes are there between 8:54 AM and 9:08 AM? 14 What is 624 minutes after 10:58 AM? 9:22 PM How many minutes are there between 10:26 PM and 8:38 AM? 612 What is 283 minutes before 1:58 AM? 9:15 PM What is 404 minutes before 7:26 PM? 12:42 PM How many minutes are there between 4:59 AM and 9:48 AM? 289 What is 342 minutes before 3:45 AM? 10:03 PM What is 398 minutes before 2:02 AM? 7:24 PM How many minutes are there between 10:47 AM and 3:49 PM? 302 What is 317 minutes before 6:29 AM? 1:12 AM What is 136 minutes after 10:42 AM? 12:58 PM How many minutes are there between 2:47 PM and 1:50 AM? 663 How many minutes are there between 4:41 AM and 3:53 PM? 672 What is 507 minutes after 2:42 AM? 11:09 AM How many minutes are there between 8:02 PM and 1:04 AM? 302 What is 644 minutes after 7:07 PM? 5:51 AM How many minutes are there between 6:04 AM and 6:56 AM? 52 What is 675 minutes before 4:37 PM? 5:22 AM How many minutes are there between 5:47 PM and 7:16 PM? 89 How many minutes are there between 6:30 AM and 11:28 AM? 298 How many minutes are there between 3:21 AM and 5:54 AM? 153 What is 676 minutes after 2:29 PM? 1:45 AM How many minutes are there between 7:27 AM and 2:51 PM? 444 What is 305 minutes after 8:58 AM? 2:03 PM What is 19 minutes before 2:57 PM? 2:38 PM What is 543 minutes before 6:57 AM? 9:54 PM What is 121 minutes after 8:12 AM? 10:13 AM How many minutes are there between 3:26 AM and 10:16 AM? 410 What is 690 minutes before 1:20 PM? 1:50 AM What is 385 minutes after 6:30 PM? 12:55 AM What is 372 minutes before 2:01 PM? 7:49 AM How many minutes are there between 6:17 AM and 2:22 PM? 485 How many minutes are there between 10:44 AM and 11:09 AM? 25 What is 399 minutes after 4:58 PM? 11:37 PM What is 120 minutes before 6:31 AM? 4:31 AM What is 19 minutes before 9:38 PM? 9:19 PM How many minutes are there between 6:31 PM and 6:40 PM? 9 What is 341 minutes after 7:48 PM? 1:29 AM What is 270 minutes after 1:37 AM? 6:07 AM What is 76 minutes after 12:56 AM? 2:12 AM How many minutes are there between 3:47 AM and 2:11 PM? 624 How many minutes are there between 3:23 AM and 9:07 AM? 344 What is 19 minutes before 8:36 AM? 8:17 AM What is 385 minutes after 8:15 AM? 2:40 PM How many minutes are there between 9:48 AM and 3:32 PM? 344 What is 709 minutes before 7:29 AM? 7:40 PM What is 448 minutes after 2:55 AM? 10:23 AM How many minutes are there between 3:28 AM and 1:45 PM? 617 How many minutes are there between 4:21 AM and 11:03 AM? 402 How many minutes are there between 12:48 AM and 9:43 AM? 535 How many minutes are there between 3:10 PM and 1:44 AM? 634 How many minutes are there between 5:43 AM and 7:25 AM? 102 What is 173 minutes after 11:18 AM? 2:11 PM What is 517 minutes before 4:41 PM? 8:04 AM How many minutes are there between 10:24 AM and 6:26 PM? 482 What is 535 minutes before 3:51 PM? 6:56 AM How many minutes are there between 8:43 AM and 1:13 PM? 270 What is 505 minutes after 8:39 PM? 5:04 AM What is 704 minutes before 10:47 AM? 11:03 PM What is 35 minutes before 10:17 PM? 9:42 PM What is 482 minutes before 10:51 AM? 2:49 AM How many minutes are there between 6:06 AM and 1:04 PM? 418 What is 120 minutes before 3:38 AM? 1:38 AM How many minutes are there between 2:31 PM and 2:25 AM? 714 How many minutes are there between 9:17 AM and 10:47 AM? 90 How many minutes are there between 9:53 AM and 11:00 AM? 67 How many minutes are there between 10:09 PM and 9:41 AM? 692 How many minutes are there between 7:58 AM and 4:48 PM? 530 How many minutes are there between 9:59 PM and 6:43 AM? 524 What is 538 minutes before 10:11 AM? 1:13 AM What is 115 minutes after 6:25 AM? 8:20 AM What is 104 minutes after 9:21 PM? 11:05 PM How many minutes are there between 9:17 AM and 3:12 PM? 355 What is 501 minutes after 12:04 AM? 8:25 AM What is 399 minutes before 10:59 PM? 4:20 PM What is 610 minutes before 3:14 AM? 5:04 PM What is 240 minutes after 9:59 PM? 1:59 AM What is 153 minutes before 6:03 AM? 3:30 AM How many minutes are there between 9:39 AM and 9:10 PM? 691 How many minutes are there between 2:08 AM and 1:39 PM? 691 What is 678 minutes before 2:58 PM? 3:40 AM How many minutes are there between 6:46 PM and 7:05 PM? 19 How many minutes are there between 11:32 AM and 5:45 PM? 373 How many minutes are there between 9:49 AM and 1:55 PM? 246 What is 51 minutes before 11:49 PM? 10:58 PM What is 620 minutes before 12:25 AM? 2:05 PM How many minutes are there between 11:18 AM and 10:34 PM? 676 What is 175 minutes before 3:13 AM? 12:18 AM What is 69 minutes before 6:30 PM? 5:21 PM How many minutes are there between 9:28 AM and 11:19 AM? 111 What is 385 minutes after 3:48 AM? 10:13 AM How many minutes are there between 11:07 PM and 7:23 AM? 496 How many minutes are there between 10:41 PM and 8:50 AM? 609 What is 394 minutes before 11:09 PM? 4:35 PM What is 166 minutes after 7:23 AM? 10:09 AM How many minutes are there between 10:56 PM and 5:40 AM? 404 What is 173 minutes before 11:41 PM? 8:48 PM What is 662 minutes before 12:01 AM? 12:59 PM What is 360 minutes before 2:55 PM? 8:55 AM How many minutes are there between 7:40 PM and 4:59 AM? 559 What is 107 minutes before 11:41 PM? 9:54 PM What is 524 minutes before 9:42 PM? 12:58 PM What is 466 minutes after 6:12 PM? 1:58 AM How many minutes are there between 2:39 AM and 3:30 AM? 51 What is 560 minutes after 4:31 PM? 1:51 AM How many minutes are there between 7:11 PM and 5:10 AM? 599 What is 360 minutes before 3:35 PM? 9:35 AM How many minutes are there between 1:37 PM and 8:25 PM? 408 What is 525 minutes before 1
{ "pile_set_name": "DM Mathematics" }
5*x = g*x. What is x rounded to six decimal places? 0 Suppose -1222829 = 18*o + 292771. What is o rounded to the nearest 10000? -80000 Let c = -0.39 - -3.89. Let j = c - 3.4999915. What is j rounded to 6 decimal places? 0.000009 Let c = -56031 + 84197. Let q = 28164.4591 - c. Let w = 1.55 + q. Round w to 3 dps. 0.009 Let m = -15 + 18. Let v be (1550/15)/(m/9). What is v rounded to the nearest one hundred? 300 Let p = -260 - -261.79. What is p rounded to one decimal place? 1.8 Suppose 2*k = -2*k + 24. Suppose -k*i + 15 = -i. Let d(t) = 4445*t**2 - 3*t + 4. Let b be d(i). What is b rounded to the nearest 10000? 40000 Let w(p) = p**2 + 44*p - 82. Let y be w(-34). Round y to the nearest 100. -400 Let t(v) = -2*v**3 - 12*v**2 - 49*v - 9. Let z be t(-11). What is z rounded to the nearest one thousand? 2000 Let g = 502.02 - 514. What is g rounded to zero decimal places? -12 Let t = -0.5711 - -0.0981. Let r = t + 0.043. What is r rounded to 1 decimal place? -0.4 Let q(b) = -79*b**2 + 23*b + 232. Let v be q(-7). Round v to the nearest one hundred. -3800 Suppose 16 = 2*g + 3*g + 3*d, -32 = -4*g + 4*d. Let u be (4/g)/((-27594)/6900 + 4). What is u rounded to the nearest one hundred? 900 Let t = 7790.83 - 7902. Let y = t + 2.17. Let u = -111.78 - y. Round u to one decimal place. -2.8 Let z = 12 - 67. Let b = z - -55.0016. Round b to 4 dps. 0.0016 Let q = 1008846.0182 - 1008985. Let o = 137.45 - -1.55. Let c = q + o. What is c rounded to 3 decimal places? 0.018 Let m(h) = -236*h**2 - 13*h - 2. Let v be m(-9). Let o be (1 - 3) + 3 + v. Round o to the nearest ten thousand. -20000 Suppose -3*f - 467 - 101 = -u, -4*u - 736 = 4*f. Let p = f - -100. What is p rounded to the nearest ten? -90 Let m = 25.06 + -25. Let c = -5.56 + m. Let x = c - -4.44. What is x rounded to one dp? -1.1 Let f(w) = -7*w**3 + 21*w**2 + 11*w - 3. Let t(c) = 3*c**3 - 10*c**2 - 5*c + 2. Let r(z) = -2*f(z) - 5*t(z). Let p be r(6). Round p to the nearest 10. 90 Let p = 398.08177 - 398. Round p to 3 decimal places. 0.082 Let t be 98*4/(20/1405). Suppose t = 5*g - 12962. What is g rounded to the nearest one thousand? 8000 Let l = 15 - 13. Let f be 3/((-6)/l) + 15998. Suppose -5*k + o - 2*o = f, 12806 = -4*k + 2*o. Round k to the nearest 1000. -3000 Let a = -2004 + 2004.2183. What is a rounded to 1 dp? 0.2 Let g = -427523.08788 + 427545. Let v = g - -0.0882. Let t = v + -22. Round t to four decimal places. 0.0003 Let y = 39.428 - 48.7915. Let m = y + 1.6205. Let c = m - -7.7. Round c to two dps. -0.04 Let y = 2.008 + -2. Let a = -31.73 - -13.238. Let m = a - y. What is m rounded to zero decimal places? -19 Let s = 1.83 - 1.7992. Let k = s - -0.023. What is k rounded to 3 dps? 0.054 Let v = -26.362 + 11.544. Let a = 15.038005 + v. Let g = a - 0.22. What is g rounded to 6 decimal places? 0.000005 Let h = 25114428 + -8873936. Let f = h + -11100492. What is f rounded to the nearest 1000000? 5000000 Let w = 121.159 + -240.801. Let i = -119 - w. What is i rounded to one dp? 0.6 Let g = -3.1216 + 3.527. What is g rounded to 1 decimal place? 0.4 Let x = 180412.39944 + -180405. Let s = -7.4 + x. What is s rounded to four dps? -0.0006 Suppose 2*w - 7*w - 65509 = 3*l, -52406 = 4*w + 2*l. What is w rounded to the nearest one thousand? -13000 Let z = -12.5602471 + 12.56. Round z to 5 dps. -0.00025 Let d be 2500/(-3)*1307790/275. Round d to the nearest 100000. -4000000 Let o(h) = 10 - h**3 - 17*h - 192*h**2 + 10 + 200*h**2. Let x be o(11). What is x rounded to the nearest one hundred? -500 Let z = -0.117 - -0.18. Let y = 0.0319 - z. Round y to three dps. -0.031 Let f = -6723 + 6722.99996593. What is f rounded to 6 decimal places? -0.000034 Let d = 0.09 + 0.006. Let s = -0.05 - -0.15. Let t = s - d. What is t rounded to two decimal places? 0 Let u = 0.803 - 7.955. Let r = -0.148 + u. Round r to the nearest integer. -7 Let z = 76 - 64. Let c = -1017 - -1029.14. Let j = z - c. What is j rounded to 1 decimal place? -0.1 Let l = 17064616 + -17052492.0088. Let u = l + -12118. Let r = 6 - u. Round r to three decimal places. 0.009 Suppose 2*j = 2*y - 82, 0 = -j - 3*y - 0*y - 53. Let l be (-4)/22 - 1196/j. Let n = l - 5. Round n to the nearest ten. 20 Let r = -9 + 11. Suppose 54915 = r*u + 6515. Round u to the nearest ten thousand. 20000 Suppose 10313961 = -26*i - 10356039. Round i to the nearest one hundred thousand. -800000 Let h = 2966742.934 - 2970190. Let m = h - -3444. Let g = 3 + m. What is g rounded to two decimal places? -0.07 Let g = -82.502969 + 82.5. What is g rounded to 4 decimal places? -0.003 Suppose r = -l + 3*r - 3612, r = 2*l + 7221. What is l rounded to the nearest 1000? -4000 Let y = -42.9999639 - -43. Round y to five dps. 0.00004 Let q = 403.2866 - 403. What is q rounded to 2 dps? 0.29 Suppose 10187 = 28*g + 65683. Round g to the nearest one hundred. -2000 Let x(w) be the third derivative of 125*w**5/6 - 9*w**2. Let g be x(-2). Let v be (-660)/((-10001)/g - -2). Round v to the nearest 1000000. 3000000 Let o = 749.674 + -2.474. Let w = -681 + o. Round w to the nearest ten. 70 Let o = -40.773 + 150.884. Let j = o + -110. Round j to 2 decimal places. 0.11 Let k = 0.04 + -0.0399473. Round k to 5 dps. 0.00005 Let r = 6 + -5.96. Let a = -65.46 + 66. Let j = a - r. What is j rounded to the nearest integer? 1 Let p = -409 + 290. Let x = p - -118.943. Round x to 2 dps. -0.06 Suppose 5*j - 15185893 + 5402363 = 0. Suppose -23*n = -26*n + 10670118. Let z = j - n. Round z to the nearest one million. -2000000 Let l(u) = 7199*u + 2. Let n be l(2). Let t = -214 + 219. Suppose -t*c - n = -9*c. Round c to the nearest 1000. 4000 Let s = -0.172 - 29.128. Let l = s + 29.29999869. Round l to six dps. -0.000001 Let w be ((-396)/54)/((-1)/(-39303)). Let j = w - -568222. Round j to the nearest one hundred thousand. 300000 Let l be (39/(-78))/(-1 + 41621/41620). Round l to the nearest 100. -20800 Let o be (901/(-2))/((-4)/(-8)). Let q = o - -1594. Suppose 827 = -2*r - q. Round r to the nearest one hundred. -800 Let n = -4373.124 + -13127.586. Let c = n - -17762. Let p = c + -260. Round p to 1 decimal place. 1.3 Let j = -21.8 - 1.2. Let c = 23.1598 - 0.1858. Let q = j + c. What is q rounded to 2 decimal places? -0.03 Let q = -117.18 - -2.18. Let u = q + 115.081. Round u to 2 decimal places. 0.08 Suppose -i + 18 = -3*o, 10*i - 5*i - 72 = -3*o. What is i rounded to the nearest 100? 0 Suppose 34*l - 152880 = 55*l. Round l to the nearest one thousand. -7000 Let a = -0.0676 - 11.6024. Let s = -12.298 + -0.102. Let h = a - s. Round h to 1 dp. 0.7 Let o = -0.403618 - -121.248118. Let y = -121 + o. Let l = 0.16 + y. Round l to 3 decimal places. 0.005 Let x = -107914013 - -52862297. Let c = x + 55051674.399741. Let b = c + 41.6. Round b to five decimal places. -0.00026 Let t = -10 + 16. Let j = -24.9 + 18.66. Let l = t + j. What is l rounded to 1 dp? -0.2 Let t = 197 + -197.00189. Round t to 3 dps. -0.002 Suppose -l - 5*n - 3583054 = 0, 0 = 3*l - 6*l + 3*n - 10749162. Let y = 14483054 + l. What is y rounded to the nearest 1000000? 11000000 Let a(u) = -1450000*u**2 + 2*u - 2. Suppose 5*d = 4*d + 1. Let r be a(d). Round r to the nearest 1000000. -1000000 Let q = -1.39999674 - -1.4. What is q rounded to 7 decimal places? 0.0000033 Let i = -81 - -80.01. What is i rounded to zero dps? -1 Let k = -0.8 + 46.8. Let m = 26 - k. Let v = m - -20.003. What is v rounded to two dps? 0 Let u = 451 + -3923. Let b = 3472.1943 + u. Let p = -0.2 + b. Round p to 3 decimal places. -0.006 Let m = 203.7 - 24.7. Let p = 179.113 - m. Round p to 2 decimal places. 0.11 Let o = 0.2 - 0.29. Let k = o + -5.91. Let r = 13.6 + k. Round r to the nearest integer. 8 Let a = -0.049 + 0.04933. Let m = -89 - -89. Let w = a + m. Round w to four decimal places. 0.0003 Suppose -5*v + 0*v = -105. Let j be (-3 - 0)/(v/(-16688)). Let z = j - 1454. What is z rounded to the nearest one hundred? 900 Let m = 2.09000078 - 2.09. Round m to 7 dps. 0.0000008 Let w = -2950.0000007836 + 2950. Round w to 7 dps. -0.0000008 Let k = -3 + 5. Let u be 8 - (k + 0/(-4)). Suppose u*s + 1119 = s - 4*c, -s - c - 224 = 0. What is s rounded to the nearest 10? -220 Let y = 1715.669887 + -2163.66962. Let t = y - -448. What is t rounded to five decimal places? 0.00027 Let o = -20.3 + 1.3. Let
{ "pile_set_name": "DM Mathematics" }
*y**5 + 6*y**2 - 5/6*y**3 - 5/24*y**4 + 0*y. Give l(5). -5 Let p(y) = y**2 - y. Suppose 3*o + 0 = 3*j + 12, 0 = -3*o + 12. Let d = -2 - j. Let i be 5/d - 1/(-2). Determine p(i). 6 Let h(d) = -d**2 - 4*d. Let k be h(-5). Let a(r) = -r**2 - 9*r - 5. Give a(k). 15 Suppose 0 + 16 = 4*t. Suppose -x = 3, -t*x - 20 = l - 3*l. Suppose 0 = -5*n + 3*n - l. Let u(d) = -d - 1. What is u(n)? 1 Let n(u) = u**2 + 5*u + 2. Let h be n(-6). Let p(b) = -6 + h + 4 + b. What is p(-3)? 3 Let v(n) = 2*n + 0*n**3 - 2*n**2 + 8*n**2 + n**3 + 3 + 3*n. Let p be v(-5). Let d(g) = -g**3 + 4*g**2 - 5*g + 2. Calculate d(p). -4 Suppose 35 = 5*c - 5*q, 3 = 3*c + 5*q - 2. Let d(k) = -1 + c + k - 2. Give d(-2). 0 Let t(q) = q**2 - 3*q - 1. Suppose 0 = -5*b + 1 + 14, 2*n - 5*b - 35 = 0. Suppose n = p + 4*p. What is t(p)? 9 Suppose -2*q + 0 = 4. Let x(y) be the second derivative of y**4/12 + y**3/3 - y**2/2 - 7*y. Determine x(q). -1 Let n be (24/(-7))/((-6)/63). Suppose 0 = 2*x + 2*x - 5*o + n, -4 = -4*x - 5*o. Let t(h) = -h**3 - 5*h**2 - h + 1. Give t(x). -11 Let c(d) be the first derivative of -4*d**3/3 + 7*d**2 + 3*d + 1. Let v(f) = f**2 - 5*f - 1. Let b(n) = -6*c(n) - 17*v(n). What is b(1)? 7 Suppose -4 = -3*t + 5*y, 5*y + 0*y = 5. Let x(u) = 41*u**t + 0*u - 7 + 12*u**2 - 42*u**3 - 5*u**2 + u. Determine x(7). 0 Let v(r) be the third derivative of r**5/60 - 7*r**4/24 - 5*r**3/6 + 9*r**2. Determine v(7). -5 Let s(g) = g**3 - 5*g**2 - 4*g - 5. Let f be -1 - 14*4/(-8). Give s(f). 7 Suppose -5*u + 4 - 24 = 0. Let o = 5 + u. Let m(y) be the second derivative of y**5/20 + y**4/12 + y**3/6 - y**2/2 + y. Give m(o). 2 Suppose -4*t + 0 - 32 = -5*h, t + 8 = 5*h. Let f(p) be the third derivative of p**4/24 + 3*p**3/2 - p**2 - 13. Give f(t). 1 Suppose 0 = -5*a + 17 + 3. Suppose 9*i + 25 = a*i, 2*x = i + 9. Let n(p) = x*p + 4 + 7 - 5 - 3*p. Calculate n(5). 1 Let u(r) = 42*r - 1 - 19*r - 26*r. Calculate u(3). -10 Let k be (-1*1 - 2)/(-1). Suppose 0 = -3*h + 13 - 4. Let q(s) = -3*s + h*s**2 + s**3 - 6*s**2 + 4 + s**2. What is q(k)? 4 Suppose 5*o = -3*v - 5, -2 = -5*o + 5*v + 33. Let z(p) = -7*p + 0*p + 4*p + 3. Give z(o). -3 Let j(w) be the first derivative of -w**5/40 + w**4/6 + 5*w**3/3 - 4. Let y(h) be the third derivative of j(h). What is y(3)? -5 Let d = -3 + 5. Let b = 5 + -2. Let z be 0 + 10/d - b. Let p(x) = x**3 - 2*x**2 - 2*x + 3. Calculate p(z). -1 Let x(l) = l**3 - 5*l**2 + l - 3. Suppose 0 = -0*m - 5*m + 125. Suppose m = d + 4*d. What is x(d)? 2 Let i(r) = r**2 + r + 1. Let p(u) = 7*u**2 + 6*u + 4. Let b(c) = -6*i(c) + p(c). Let s(a) = -a**2 + 14*a - 21. Let t be s(12). Determine b(t). 7 Suppose -7 = -4*n + 89. Let q(w) = -2*w - 2. Let d be q(-3). Suppose 0 = -d*i - n. Let t(r) = -r**2 - 6*r + 6. Give t(i). 6 Suppose -2*s + 5*h - 31 = 0, -4*s - s - 3*h - 31 = 0. Let k = s + 10. Let f(x) = -2*x + 3. Determine f(k). -1 Suppose 0 = 2*p + p. Let j = 11 + -10. Let u(x) = -7 + 0*x + j + x. Determine u(p). -6 Let p(h) be the second derivative of h**6/120 - h**5/12 - h**3/3 + 5*h**2/2 - 3*h. Let n(d) be the first derivative of p(d). Calculate n(5). -2 Let f(u) = -u**3 - 6*u**2 - 2*u - 6. Suppose -12 = 2*q - 4*m, 2*m - m + 24 = -4*q. Calculate f(q). 6 Let n(p) = 7*p**2 - 1. Let s be (-2)/(-4) - 175/(-10). Let d = s + -19. Determine n(d). 6 Let p = 4 - -6. Let d = p + -5. Let o(s) = -s**3 + 6*s**2 - 4*s. Calculate o(d). 5 Suppose 7 = -3*c - 2*t, -t = 5*c - 6 + 13. Let o be (-1 + (-1)/c)*-1. Let y(z) = o + z - 3 - 1. What is y(4)? 0 Let n(y) = 4*y**3 + 5*y**2 - 4*y + 23. Let j(s) = s**3 + s**2 - s + 6. Suppose 2*k + 0*k + 18 = 0. Let g(v) = k*j(v) + 2*n(v). What is g(0)? -8 Let i(f) = -f**3 + f**2 + f + 3. Let o = 8 + -8. Calculate i(o). 3 Let i(g) = 4*g**3 - 2*g**2 - g. Suppose 2*n + 12 = -5*p, -2*n - 11 + 3 = 3*p. Determine i(n). -5 Let g(w) be the first derivative of -3*w**2/2 + 2*w - 1. Let o be 50/14 - (-8 - 477/(-63)). Give g(o). -10 Let f(o) = 3*o**3 - 2*o**2 + 1. Suppose 26*r - 11*r = -15. Calculate f(r). -4 Let q be 24/2*(-2)/(-4). Let s(x) = x**3 - 7*x**2 + 6*x - 2. Determine s(q). -2 Let i be 0 + 6/(-2) + 6. Let d(x) = -x**2 + 0*x**2 + 2*x**2 - 2*x. What is d(i)? 3 Let k be (-76)/(-13) + 38/247. Let g(t) = -t**2 + 6*t + 3. Calculate g(k). 3 Let i(v) be the third derivative of v**2 - 1/3*v**3 + 0*v + 1/120*v**6 + 0 - 1/15*v**5 + 1/12*v**4. Let z = -1 + 4. Calculate i(z). -5 Let n(s) be the first derivative of s**2/2 - 5*s + 8. Suppose 4*q - 4 = o - 0*o, -14 = -3*o - q. Give n(o). -1 Suppose -2*n + r + r = 4, 8 = -2*n + 3*r. Suppose 3*q = -n*q. Suppose q = -2*h - h. Let b(j) = j**3 - j**2 + j - 7. Give b(h). -7 Let l(t) = -t**2 + 4*t + 4. Let c be l(5). Let y(u) = -u - 4. Let q(f) = -f**2 - 2*f - 7. Suppose 6 = -4*k - 6. Let n(p) = k*q(p) + 5*y(p). Give n(c). 3 Suppose 5*j + 32 = 3*a - 8, -2*a + 25 = -3*j. Let r(b) be the third derivative of 0*b + 0 - 1/24*b**4 - 2*b**2 + 7/6*b**3. Calculate r(a). 2 Let t(m) = -3*m**3 + 8*m**2 + 7*m + 8. Let l(z) = -2*z**3 + 7*z**2 + 6*z + 7. Let b(w) = -4*l(w) + 3*t(w). Determine b(-3). -4 Suppose 3*n = -3*t + 2*t - 5, -5*t = -3*n - 11. Let l(v) = -v**2 + v. Determine l(n). -6 Let w(g) = -g**3 + 6*g**2 - 5*g + 2. Let o be (-10)/8*(-32)/8. What is w(o)? 2 Let l(f) be the first derivative of f**4/4 + 8*f**3/3 + 6*f + 60. Give l(-8). 6 Suppose -4*o = -2*o - 4. Let n(u) be the first derivative of 1/2*u**o + u - 1. Determine n(-5). -4 Let o(h) = -h - 8. Let t = -104 - -98. What is o(t)? -2 Let v be (0 + -1)*5/(-1). Let n(y) = y**2 - y - 4. What is n(v)? 16 Let a(y) = y**3 + 3*y**2 + y - 1. Let b(f) = f**3 + 5*f**2 + 5*f + 2. Let g be b(-4). Let k be (g - 2)*(-3)/(-6). Calculate a(k). 1 Let c = 2 - -8. Let u = 15 - c. Suppose -a - 11 = n + 2*n, 2*a = u*n. Let p(v) = -v**2 - 7*v - 5. What is p(a)? 5 Suppose 3*o + 2*j = 6, o - 2*j = -5*j + 9. Let m(y) = -6*y**2 + o*y + 3*y**3 + 2*y + 9 - 4*y**3. Give m(-6). -3 Let u = -8 + 13. Suppose -u*k - 3 - 2 = 0. Let r(g) be the first derivative of 3*g**2 + g - 1. Determine r(k). -5 Let w be -7 + 4 + 3 - -15. Suppose -3*d + w = 2*d. Let t(k) = -2*k**2 + 4*k. Determine t(d). -6 Let c(d) = d - 5. Let v(o) = o - 6. Let q be v(-6). Let p be 3/q + 2/8. What is c(p)? -5 Let g = 2 + 1. Let x(i) = 3*i + g - 6*i - i. Determine x(4). -13 Let u(k) be the first derivative of k**2/2 - 5*k + 11. Let t = -2 - -6. Let m be (2/t)/((-2)/20). Calculate u(m). -10 Let g(t) = -3*t - 13. Let q be g(-6). Suppose -4*h = h - q. Let b(y) = -y**2 + 3*y - 1. Determine b(h). 1 Suppose -2*z = -0*z + 8, -2 = 5*t + 3*z. Suppose -t*l - 10 = -4*l. Let s(h) = h**3 - 6*h**2 + 5*h - 7. Give s(l). -7 Let m(j) = j - 3. Suppose 2*g - g = 31. Suppose -2*l + u - 13 = l, 0 = -5*l - 3*u - g. Calculate m(l). -8 Let l(y) = y**2 - 14*y - 14. Suppose -2*m - 66 = -4*n, 0 = n + 2*m + 3*m. Determine l(n). 1 Let a = 25 - 29. Suppose -4*y = -9*y. Let w(s) = 2*s + y - s - 1. What is w(a)? -5 Let a(w) be the third derivative of -w**6/120 + w**5/12 + w**4/12 - w**3/3 + 2*w**2. Let x(h) = h**3 + 3*h**2 - 5*h + 1. Let n be x(-4). Calculate a(n). 8 Let l(g) be the second derivative of -g**5/20 + 2*g**4/3 - 5*g**3/6 - 4*g**2 - 32*g. Determine l(7). 6 Suppose -10 = -0*h - 2*h. Let a(k) = 0*k - h*k + 1 + 4*k. Give a(6). -5 Let i(b) = 1 + 0 + 4 + 4*b - 3. What is i(3)? 14 Let d(k) be the first derivative of 2*k**3/3 - 3*k**2/2 - 3*k + 10. Determine d(3). 6 Let r(b) be the third derivative of -b**5/60 + 7*b**4/24 - 4*b**3/3 - 4*b**2. Give r(6). -2 Let w(q) = -q**2 + 6*q + 9. Let j be w(7). Suppose 1 = -j*l + l. Let k(n) = -8*n**3 - n**2 - 2*n - 1. Calculate k(l). 8 Suppose -5*l - 25 = 0, b + 3*b - 36 = 4*l. Let f = 2 + 0. Let c(y) = 3 - f + y + 1. What is c(b)? 6 Let h(g) be the second derivative of g**4/6 - g**2 + g. Let v(n) = n + 3. Let u be v(0). Suppose -2*c = -u*j + 19, c = -3*c - j - 3. Calculate h(c). 6 Let p(t) = -t**2 + 1. Let a(l) = 5*l**2 - 5*l - 5. Let b(i) = a(i) + 6*p(i). Let h be b(-4). Let d(m) = m**2 - 3*m - 5. What is d(h)? 5 Let n(b) = b**3 + 6*b**2 - 6*b - 6. Let x(i) be the first derivative of i**3/3 - i**2/2 - i - 5. Let s(y) = n(y) - 6*x(y). Determine s(1). 1 Let l(z) be the first derivative of -1/6*z**3 + 0*z - 1/24*z**4 + z**2 + 1. Let y(b) be the second derivative of l(b). What is y(2)? -3 Let m(d) = -d. Let q(s) = 7*s - 3. Let l(a) = -6*m(a) - q(a)
{ "pile_set_name": "DM Mathematics" }
multiple of 504 and 560? 5040 Calculate the lowest common multiple of 100 and 40. 200 Calculate the common denominator of 40/3 and -4/2247. 2247 What is the common denominator of 31/156 and 77/48? 624 What is the lowest common multiple of 748 and 272? 2992 What is the least common multiple of 453 and 102? 15402 What is the smallest common multiple of 11 and 165? 165 What is the lowest common multiple of 16 and 232? 464 Calculate the common denominator of -32/13 and 115/78. 78 Find the common denominator of 7/9 and 13/10850. 97650 What is the least common multiple of 114 and 18? 342 Find the common denominator of 5/441 and 59/21. 441 Calculate the common denominator of 77/10 and 67/1598. 7990 Find the common denominator of 119/48 and -103/342. 2736 Calculate the common denominator of -23/12 and -37/282. 564 Calculate the smallest common multiple of 70 and 76. 2660 What is the common denominator of -14/149 and -50/5811? 5811 Find the common denominator of 99/28 and -5/8. 56 What is the lowest common multiple of 488 and 976? 976 Calculate the lowest common multiple of 77 and 121. 847 What is the common denominator of 45/1016 and 91/32? 4064 Find the common denominator of 69/16 and 71/66. 528 Calculate the smallest common multiple of 36 and 171. 684 What is the common denominator of 57/32 and 137/144? 288 What is the common denominator of 32/75 and 82/315? 1575 Calculate the lowest common multiple of 511 and 49. 3577 Calculate the lowest common multiple of 32 and 320. 320 Calculate the smallest common multiple of 1098 and 288. 17568 Calculate the common denominator of 29/624 and 31/1365. 21840 What is the common denominator of 137/10290 and -119/50? 51450 Calculate the smallest common multiple of 516 and 8. 1032 What is the least common multiple of 560 and 96? 3360 What is the common denominator of -121/20 and 1/6? 60 Find the common denominator of 1/130 and 15/364. 1820 Calculate the smallest common multiple of 22 and 1130. 12430 What is the common denominator of -101/1430 and 59/182? 10010 Calculate the common denominator of 81/4 and 49/558. 1116 What is the least common multiple of 2 and 645? 1290 Find the common denominator of -59/54 and -10/681. 12258 Find the common denominator of -23/30 and 139/90. 90 What is the common denominator of -127/1650 and -7/4? 3300 Calculate the smallest common multiple of 70 and 35. 70 What is the least common multiple of 9 and 33? 99 Calculate the smallest common multiple of 12 and 20. 60 Find the common denominator of 5/21 and -59/56. 168 Find the common denominator of -89/700 and -68/35. 700 Find the common denominator of 161/90 and -103/20. 180 Find the common denominator of -97/7036 and -49/6. 21108 Calculate the smallest common multiple of 793 and 65. 3965 Calculate the lowest common multiple of 21 and 63. 63 Calculate the least common multiple of 425 and 2975. 2975 Calculate the common denominator of -13/36 and 3/1448. 13032 Calculate the smallest common multiple of 243 and 6264. 56376 Calculate the common denominator of -25/318 and -55/48. 2544 Calculate the common denominator of 59/588 and -41/28. 588 Find the common denominator of -87/50 and 64/115. 1150 What is the smallest common multiple of 525 and 133? 9975 Calculate the common denominator of 8/3389 and 22. 3389 Find the common denominator of 161/5808 and 145/4752. 52272 Calculate the least common multiple of 2996 and 56. 5992 What is the common denominator of -127/6 and -53/136? 408 Find the common denominator of 41/75 and -74/7425. 7425 Calculate the common denominator of -13/1470 and 8/3675. 7350 Calculate the smallest common multiple of 132 and 220. 660 What is the smallest common multiple of 12984 and 18? 38952 What is the lowest common multiple of 14 and 462? 462 Calculate the least common multiple of 228 and 5700. 5700 What is the common denominator of 11/478 and -14/3? 1434 What is the smallest common multiple of 90 and 25? 450 Calculate the smallest common multiple of 91 and 78. 546 Calculate the common denominator of 81/11716 and -67/16. 46864 What is the common denominator of -46/111 and 60/259? 777 What is the common denominator of -23/504 and 71/420? 2520 What is the common denominator of 9 and -61/9? 9 What is the smallest common multiple of 3212 and 6? 9636 Find the common denominator of 61/5472 and -15/8. 5472 What is the least common multiple of 8 and 18? 72 Find the common denominator of -81/20 and -85/792. 3960 What is the common denominator of 36 and 7/397? 397 Find the common denominator of 149/660 and -49/594. 5940 What is the least common multiple of 143 and 77? 1001 Calculate the common denominator of 99/16 and 49/76. 304 What is the common denominator of 109/180 and 161/30? 180 What is the common denominator of 46/57 and 43/345? 6555 Calculate the lowest common multiple of 4 and 1051. 4204 What is the least common multiple of 44 and 55? 220 Calculate the lowest common multiple of 25 and 11. 275 Calculate the smallest common multiple of 186 and 4247. 25482 What is the smallest common multiple of 867 and 136? 6936 Calculate the smallest common multiple of 656 and 40. 3280 Calculate the lowest common multiple of 44 and 5800. 63800 What is the least common multiple of 1988 and 12? 5964 Calculate the lowest common multiple of 2160 and 60. 2160 What is the least common multiple of 20 and 515? 2060 Calculate the lowest common multiple of 4 and 116. 116 Calculate the least common multiple of 2975 and 350. 5950 Find the common denominator of -127/1810 and 37/724. 3620 Calculate the least common multiple of 544 and 1598. 25568 What is the common denominator of 8/7 and 45/4498? 31486 What is the common denominator of -3/11 and -43/7? 77 Calculate the smallest common multiple of 56 and 32. 224 Calculate the smallest common multiple of 16 and 2928. 2928 Calculate the least common multiple of 8 and 108. 216 What is the smallest common multiple of 32 and 8004? 64032 Calculate the common denominator of -91/176 and 51/848. 9328 What is the common denominator of 103/588 and 34/63? 1764 Find the common denominator of -15/416 and 11/52. 416 Calculate the lowest common multiple of 144 and 567. 9072 Find the common denominator of 59/6 and -49/230. 690 Find the common denominator of -83/80 and 43/48. 240 What is the common denominator of -151/714 and 41/21? 714 Calculate the lowest common multiple of 88 and 66. 264 Calculate the least common multiple of 68 and 8. 136 What is the common denominator of 109/4170 and -23/40? 16680 Calculate the lowest common multiple of 800 and 8. 800 What is the least common multiple of 60 and 160? 480 Find the common denominator of -107/1210 and 48/25. 6050 Calculate the least common multiple of 600 and 33. 6600 Find the common denominator of -67/219 and -19/27. 1971 Calculate the least common multiple of 156 and 12. 156 What is the smallest common multiple of 6 and 3594? 3594 What is the lowest common multiple of 1200 and 27? 10800 Calculate the least common multiple of 2374 and 10. 11870 Find the common denominator of 50/11 and -5/1023. 1023 Calculate the lowest common multiple of 180 and 75. 900 Calculate the common denominator of -109/12 and -65/4. 12 What is the least common multiple of 495 and 135? 1485 What is the common denominator of -5/324 and 53/324? 324 Calculate the lowest common multiple of 594 and 2376. 2376 What is the lowest common multiple of 115 and 115? 115 What is the common denominator of 31/78 and 31/10? 390 Calculate the lowest common multiple of 88 and 44. 88 What is the common denominator of 47/180 and 71/75? 900 What is the least common multiple of 680 and 96? 8160 Calculate the common denominator of 3/1936 and -117/224. 27104 Find the common denominator of 29/7490 and 57/14. 7490 Calculate the smallest common multiple of 3480 and 180. 10440 What is the smallest common multiple of 20 and 992? 4960 Calculate the least common multiple of 120 and 20. 120 Calculate the smallest common multiple of 23 and 111. 2553 Find the common denominator of -59/8 and -79/224. 224 What is the common denominator of 105/22 and -161/570? 6270 What is the common denominator of -89/75 and 16/1665? 8325 What is the least common multiple of 76 and 188? 3572 Calculate the least common multiple of 102 and 3. 1
{ "pile_set_name": "DM Mathematics" }
Collect the terms in 97*y**2 + 88*y**2 + 102*y**2 - 248*y**2. 39*y**2 Collect the terms in -334 - 333 + 667 - 5*h. -5*h Collect the terms in -56*v**2 - 39*v**2 + 16*v**2. -79*v**2 Collect the terms in 18*b + 18*b - 50*b + 18*b. 4*b Collect the terms in -73*i**3 + 24*i**3 + 23*i**3 + 27*i**3. i**3 Collect the terms in -24*a + 363*a + 2 + 7*a. 346*a + 2 Collect the terms in -1075221 - 2*m + 1075221. -2*m Collect the terms in 42*p + 39*p - 76*p. 5*p Collect the terms in -b + 2*b - b + 3*b**2. 3*b**2 Collect the terms in 503 - 503 - 3*d**2 + d**2. -2*d**2 Collect the terms in -10*u**3 - 3*u**3 - 5*u**3 - 21*u**3. -39*u**3 Collect the terms in 180*n + 180*n - 360*n - 5*n**3. -5*n**3 Collect the terms in 0*v - 7*v - 5*v. -12*v Collect the terms in 54*n**2 + 51*n**2 - 108*n**2. -3*n**2 Collect the terms in 124*j**3 + 175*j**3 + 347*j**3 + 172*j**3. 818*j**3 Collect the terms in -102 + 102 - z**2 + z**2 - 3*z**3. -3*z**3 Collect the terms in -73*i - 17*i**2 + 73*i. -17*i**2 Collect the terms in -5 - 3 + h + 8. h Collect the terms in -20*y**3 + 12*y**3 + 17*y**3. 9*y**3 Collect the terms in 18 - 18 - 53*s**2. -53*s**2 Collect the terms in -10*r**2 + 10*r**2 + 5*r**2 - 17*r**2. -12*r**2 Collect the terms in -286*k**3 - 290*k**3 + 567*k**3. -9*k**3 Collect the terms in -177*i**3 - 13*i**3 + 2*i - 2*i. -190*i**3 Collect the terms in -6*m**3 - 25*m**2 + 25*m**2. -6*m**3 Collect the terms in -8*p**3 + 45 - 45. -8*p**3 Collect the terms in 36*r**2 + 23*r**2 + 4*r**2 + 71*r**2. 134*r**2 Collect the terms in -3*l - 176 + l + 176. -2*l Collect the terms in -807*t - 54*t**2 + 807*t. -54*t**2 Collect the terms in 39*l**3 - 77*l**3 + 30*l**3. -8*l**3 Collect the terms in -6 + 6 - 6*s**2 - 7*s**2. -13*s**2 Collect the terms in -3 - 1973*h + 1986*h - 2 + 5. 13*h Collect the terms in 56*z**2 - 8 + 52*z**2 - 103*z**2. 5*z**2 - 8 Collect the terms in -96*p + 28*p + 47*p. -21*p Collect the terms in 2 - h**3 + 2 - 2*h**3. -3*h**3 + 4 Collect the terms in 8*s + 0*s + s - 3*s. 6*s Collect the terms in 11*d + 5*d - 14*d. 2*d Collect the terms in 157*o - 466*o + 155*o + 149*o. -5*o Collect the terms in -19*f**3 - f + 105*f**3 + 3*f. 86*f**3 + 2*f Collect the terms in 8317 - 8317 + 0*f + f**2 + 0*f. f**2 Collect the terms in -8*k**2 + 2*k + 2*k - 4*k. -8*k**2 Collect the terms in -26*k**2 + 7*k**2 + 11*k**2 + 10*k**2. 2*k**2 Collect the terms in 4*j + 33*j**2 - 35*j**2 - 4*j. -2*j**2 Collect the terms in 1939 - 1939 - d**2 + 5*d**2. 4*d**2 Collect the terms in -9*s - 16*s + 340 - 340 + 27*s. 2*s Collect the terms in 2*z**2 - 26*z + 6*z**2 - 9*z**2. -z**2 - 26*z Collect the terms in 86*m**2 + 88*m**2 - 11*m**2. 163*m**2 Collect the terms in -3 + 0*c - 4*c - 5*c. -9*c - 3 Collect the terms in -32*c + 34*c - 42 + 83 - 41. 2*c Collect the terms in -2*c**3 + 872*c**2 - 872*c**2. -2*c**3 Collect the terms in -836*q**3 + 2501*q**3 - 828*q**3 - 829*q**3. 8*q**3 Collect the terms in 2*q - 10*q - 2*q. -10*q Collect the terms in -q**2 + 12*q**2 - q**2. 10*q**2 Collect the terms in 1 - 273*p**3 - 1 + 268*p**3. -5*p**3 Collect the terms in -1 - y + 2 + 2*y. y + 1 Collect the terms in -9 + 14 - 3*c**3 - 5. -3*c**3 Collect the terms in -2*u**3 - 4*u**3 - 2*u**3. -8*u**3 Collect the terms in -7*w + 15*w - 8*w + 11*w**2. 11*w**2 Collect the terms in -502*c**2 + 735*c**2 - 231*c**2. 2*c**2 Collect the terms in -3*z**2 + 26*z**2 + 3*z**2. 26*z**2 Collect the terms in -277276*o + 2*o**2 + 277276*o. 2*o**2 Collect the terms in 20*d**2 + 9*d**2 - 7*d**2 - 11*d. 22*d**2 - 11*d Collect the terms in -27*h**3 + 17*h**3 - 65*h**3. -75*h**3 Collect the terms in -28 + 8 + 20 - 37*s**3. -37*s**3 Collect the terms in -24*y + 18*y + 38*y + 40*y. 72*y Collect the terms in 11*p**3 + 47*p - 4 + 4 - 54*p. 11*p**3 - 7*p Collect the terms in 2*u**2 + 2442 + 2*u**2 - 2442. 4*u**2 Collect the terms in 550 + 6*f - 550. 6*f Collect the terms in -118*h**2 + 118*h**2 - 6*h**3 - 5*h**3. -11*h**3 Collect the terms in -2*f**2 + 15*f**2 + 0*f**2. 13*f**2 Collect the terms in 3 + 79*p - 3 - 75*p. 4*p Collect the terms in -3*v**2 + 2*v**2 + 2*v**2. v**2 Collect the terms in -132*k - 30*k - 103*k. -265*k Collect the terms in -53*g**3 + 7*g**3 - g**3 - 26*g**3. -73*g**3 Collect the terms in 60*d**2 + 684 - 684. 60*d**2 Collect the terms in -34*c - 20*c + 175*c + 185*c. 306*c Collect the terms in 11 - 32 - 8 + 2*l - 92. 2*l - 121 Collect the terms in 1 - 2 + 21*x**2 + 1. 21*x**2 Collect the terms in -41*o**2 - 42*o**2 + 121*o**2 + 2*o**3 - 38*o**2. 2*o**3 Collect the terms in -70*j**2 + 65*j**2 - 2 + 5. -5*j**2 + 3 Collect the terms in 0*t**2 + 19*t**2 - 23*t + 23*t. 19*t**2 Collect the terms in 604*t - 2*t**3 - 300*t - 304*t. -2*t**3 Collect the terms in -23 + 14 + 11 + 19*i. 19*i + 2 Collect the terms in 119*w**2 - 119*w**2 - 53*w**3. -53*w**3 Collect the terms in -p - 5 - 11 - 12 + 28. -p Collect the terms in -i**3 - i**3 + 7*i**3. 5*i**3 Collect the terms in 0*q + 0*q + 3 - 4*q**3. -4*q**3 + 3 Collect the terms in 4 - 6 + 2 + 6*g**2. 6*g**2 Collect the terms in 0*b - 15 + b + 7*b + 0*b. 8*b - 15 Collect the terms in -39*m + 0*m**2 + m**2 + 25*m + 14*m. m**2 Collect the terms in 167454 + 5*w - 167454 - 2*w. 3*w Collect the terms in 4*k - 2*k - 2*k - 3*k**2. -3*k**2 Collect the terms in -315 - 319 + 634 - w. -w Collect the terms in -x**3 - 103*x**2 + 188*x**2 - 100*x**2 + 15*x**2. -x**3 Collect the terms in 50*t - 27*t + 7*t**2 - 23*t. 7*t**2 Collect the terms in 0*j**3 - 3*j**3 + j**3 + 7*j**3 - j**3. 4*j**3 Collect the terms in 20*a + 20*a - 11*a. 29*a Collect the terms in 9*g**2 - 13*g**2 + 6*g**2. 2*g**2 Collect the terms in 95152*t - 2*t**2 - 95152*t. -2*t**2 Collect the terms in -5*k - 2*k - 3*k - 2*k. -12*k Collect the terms in -2*h**2 - 4*h**2 - 4*h**2 + 8*h**2. -2*h**2 Collect the terms in 3*t**2 + t**2 + 2*t**2 - 7*t**2. -t**2 Collect the terms in -5*j**3 - 7*j**3 - 34*j**3. -46*j**3 Collect the terms in -26 + 26 - 10*s**3. -10*s**3 Collect the terms in 92*h + 105*h - 196*h - 2 + 2. h Collect the terms in 196 - 19*f - 392 + 196. -19*f Collect the terms in -6*z**2 + 1155*z**3 - 1153*z**3 + 6*z**2. 2*z**3 Collect the terms in -109 - 170 + 24 - 3*a**3. -3*a**3 - 255 Collect the terms in -6*z**3 + 69*z**3 + 140*z**3. 203*z**3 Collect the terms in 91*h**3 - 183*h**3 + 93*h**3. h**3 Collect the terms in 71*u**3 - 126*u + 126*u - 40*u**3 - 32*u**3. -u**3 Collect the terms in 5*w - 5*w + 161*w**2 - 328*w**2 + 165*w**2. -2*w**2 Collect the terms in 3*h - 63 + 32 + 7*h + 31. 10*h Collect the terms in -11 + 2*h**3 + 4 + 4. 2*h**3 - 3 Collect the terms in 21*d + 13180 - 13180. 21*d Collect the terms in 3*n + n - 5*n**3 - n**3 + 0*n. -6*n**3 + 4*n Collect the terms in -32*s - 14*s + s**3 + 46*s. s**3 Collect the terms in 43*n + 73*n - 117*n. -n Collect the terms in -x + x + 127*x**2 - 65*x**2 - 64*x**2. -2*x**2 Collect the terms in -2 + 28*h**2 - 47*h**2 + 2. -19*h**2 Collect the terms in f**3 - 851572 + 851572. f**3 Collect the terms in 13*h**2 + 11*h**2 - 21*h**2. 3*h**2 Collect the terms in -9*c**3 + 79 - 79 + 14*c**3. 5*c**3 Collect the terms in -15 - u - 8 + 32 - 9. -u Collect the terms in -18*p**3 - 34*p + 10*p + 24*p. -18*p**3 Collect the terms in 14 + 2186*h**2 - 14. 2186*h**2 Collect the terms in 7*n**3 + 73*n**3 + 11*n**3. 91*n**3 Collect the terms in 279*n - 128*n - 150*n. n Collect the terms in 23*t - 18*t**2 + 19*t - 46*t. -18*t**2 - 4*t Collect the terms in -34*x - 4*x + 11*x - 9*x. -36*x Collect the terms in 375*y**2 - 265*y**2 + 1720*y**2. 1830*y**2 Collect the terms in q**2 - 3*q**2 - 5*q**2 - 7*q**2. -14*q**2 Collect the terms in 4*v**2 - 18*v**2 + 16*v**2. 2*v**2 Collect the terms in 456 - 456 + 8*i**2. 8*i**2 Collect the terms in 32*h**2 + 59 - 28 - 30. 32*h**2 + 1 Collect the terms in -12*n**2 + 14*n**2 - 12*n**2. -10*n**2 Collect the terms in -6 + 8 - 10*t**3 - 2. -10*t**3 Collect the terms in -20*o + 0*o + 22*o. 2*o Collect the terms in -145 - 19*j + 76 + 69. -19*j Collect the terms in -4*j + 5*j**3 + 2*j**3 - 5*j**3 + 6*j**3. 8*j**3 - 4*j Collect the terms in 264*y - 523*y + 261*y. 2*y Collect the terms in -30*p + 17*p + 14*p. p Collect the terms in -l - 4*l + 0*l + 8*l - 2*l. l Collect the terms in 11 + 3*m**2 - 37*m**2 - 11. -34*m**2 Collect the terms in -3 + 3 - 107*v**3. -107*v**3 Collect the ter
{ "pile_set_name": "DM Mathematics" }
3 + 2*f**2 + f - 26. Calculate w(4). 1 Suppose 0 = 5*x + 5*f + 5, -x + 2*x - 5*f = -1. Suppose 0 = -2*p + 5*p - 6. Let i(o) = -1 + 3*o + 0*o + p*o + 0*o. Calculate i(x). -6 Let y(x) = -11*x**2 - 13*x - 29. Let v(i) = -5*i**2 - 6*i - 14. Let h(m) = -13*v(m) + 6*y(m). Calculate h(0). 8 Let l(d) = d**3 + 6*d**2 + 6*d + 4. Let w(o) = -o - 18. Let f be w(-13). Determine l(f). -1 Let n(j) = j**2 + 2*j + 6. Suppose 2*v + 7 = -3*q + v, 2*q + 4*v = 12. Determine n(q). 14 Let b = -6 + 4. Let h = b - 1. Let f(k) = -k - 3*k - 4 + 2*k + 3*k. Determine f(h). -7 Let y(z) be the second derivative of -z**5/20 - z**3/6 - 5*z**2/2 - 6*z. Calculate y(0). -5 Suppose -10 = 5*a - 5*c, -2*a + a = c - 6. Let d(r) = a*r**2 + 2 + 3*r**3 + r**2 - 2*r**3. Determine d(-3). 2 Suppose -4*g = -2*g - 4. Let o(r) = r**2 - g*r**2 + 8 - 13 + 0*r**2 - 6*r. Give o(-4). 3 Let l(n) = -14*n**2 - 4*n - 1. Let x(c) = -5*c**2 - c. Let z(t) = 6*l(t) - 17*x(t). Give z(8). 2 Let a(v) = v**3 - 6*v**2 - 7*v + 2. Let m be a(7). Let f(x) = -5*x - 1. Let o(u) = 5*u. Let c(g) = m*f(g) + 3*o(g). Calculate c(2). 8 Let m = -6 + 7. Let i(p) = p - 1. What is i(m)? 0 Let i be (5*(-3)/9)/((-6)/18). Let z(q) = 1 + 0*q**2 - q**2 + 8*q - 2*q. Give z(i). 6 Let q(a) = 29*a + 0*a**3 - 2*a**2 + 1 - a**3 + 2 - 26*a. Calculate q(-3). 3 Let i(n) be the first derivative of -13*n**2/2 - n + 11. Give i(-1). 12 Let w(l) = -2*l + 5. Let n(q) = 3*q - 8. Let y(a) = -5*n(a) - 8*w(a). Determine y(6). 6 Let q(m) = m + 1. Suppose 0 = s + 2*g + 4 - 2, -4*s + 5*g = -18. Suppose -t + s*t + 4 = 0. Determine q(t). -3 Let s(p) = 13*p - 5. Let y(z) = -20*z + 8. Let m(u) = 8*s(u) + 5*y(u). Suppose -3*f + 4*t = -51, 0 = -t - 4*t - 15. Let c = 11 - f. Determine m(c). -8 Let p = 85 + -81. Let m(x) = -x**2 + 7*x - 7. Determine m(p). 5 Let o(d) = d**3 - 3*d**2 - 2*d - 2. Let n be (-3)/12 - (-63)/12. Suppose t + 1 - n = 0. Determine o(t). 6 Let m(v) = -v - 11. Suppose 0 = -l - 5 - 1. Calculate m(l). -5 Let x be 3*(4/(-6) - 0). Let c(l) be the third derivative of l**6/120 + l**5/20 + l**4/24 + l**2 + 3*l. Calculate c(x). 2 Let j(v) = 5*v**2 - 11 + 1 - 2*v + 7 + 4 - v**3. Give j(4). 9 Suppose -4*z - 17 = -5*t, 2*z - t = -z - 10. Let o(v) = -2*v + v + 5 - 4. Calculate o(z). 4 Let g(v) = -2*v**2 + 9*v - 7. Let q(f) = f**2 - f - 1. Let d(w) = -g(w) - q(w). Calculate d(7). 1 Let x(q) = -2*q + 8. Let t = -13 - -3. Let w = -4 - t. Give x(w). -4 Let z be (-1 + -2)/12*-4. Let y(k) = -k**3 - 1. Let o be y(z). Let d(l) = l**3 + l**2 - 3*l - 1. What is d(o)? 1 Suppose -v = -0*v - 3*y - 7, 0 = -4*v - 4*y + 12. Suppose v*a = a + 21. Let d(k) = 2*k - 5. Give d(a). 9 Let c(w) be the second derivative of w**5/60 + w**4/24 - w**3/2 + 5*w**2/2 + 5*w. Let h(v) be the first derivative of c(v). What is h(0)? -3 Let x(v) = 3*v**2 + v + 1. Let j(w) = -w**2 - 5*w - 1. Let a be j(-5). Calculate x(a). 3 Suppose -25 = -5*d, d = 2*h + 3*d - 24. Let x(g) = g**3 - 8*g**2 + 5*g + 10. Calculate x(h). -4 Let z(h) = 4*h + 6. Let v(k) be the second derivative of -k**4/12 - k**3/2 - 2*k**2 + 4*k. Let b be v(-3). Determine z(b). -10 Let y(i) = -i**3 + 3. Let n(j) = -j**2 + 8*j - 4. Let f be (-2)/((-2)/16*2). Let t be n(f). Let p be 10/25 + t/10. What is y(p)? 3 Let x(w) = -7*w**2 - 3*w - w**3 + 10 - w - 3. Let y be x(-6). Let n(k) = k**3 + 6*k**2 + 6*k - 3. Determine n(y). -8 Let h be (18/21)/(3/21). Let o = 4 - h. Let b(i) = -i**2 - 2*i + 1. What is b(o)? 1 Suppose a + 2*a = 21. Let s(w) = 4*w**2 - 6*w - 6. Let u(f) = -3*f**2 + 6*f + 7. Let i(k) = -2*s(k) - 3*u(k). What is i(a)? -2 Let o(x) = x**3 + 5*x**2 - x. Let t be o(-4). Suppose 5*n = q - t, 2*n = -5*q + 3*q + 4. Let j(k) = -3*k - 4. Give j(n). 5 Let b = -10 - -10. Let w = 3 + -5. Let f(l) = l + 1. Let n(j) = -5*j - 6. Let m(s) = w*n(s) - 11*f(s). What is m(b)? 1 Let t(p) = p + 6. Let k be t(-5). Let s be ((0 - k)/1)/1. Let w(q) = -1 - q**2 - 5*q**3 + 0 + q**3 + 3*q**2. Give w(s). 5 Let i(j) be the third derivative of j**6/120 + j**5/10 + 7*j**4/24 + j**3/3 + 20*j**2. Let l = -4 - 1. Calculate i(l). -8 Let t(o) = -3*o**2. Let b(q) = 4*q**2 + q + 1. Let h(p) = 2*b(p) + 3*t(p). What is h(-4)? -22 Let d(t) = -7*t - 10. Let m(b) = -3*b - 5. Let s(x) = -2*d(x) + 5*m(x). Give s(-7). 2 Suppose 6*l = 2*l. Suppose l = 6*j - j - 20. Let x(z) = j - 1 + 3*z - 1. Give x(-2). -4 Let x(u) be the third derivative of u**6/120 - u**4/12 + u**3/6 + 2*u**2. Let g be (-28)/(-12) - 1/3. Calculate x(g). 5 Suppose 2*y + 9 = -3*o - 3, 2*y + 4 = o. Let z(w) be the second derivative of w**5/10 + w**4/3 + 2*w**3/3 + 3*w**2/2 + w. Give z(o). -5 Let r(k) = -k**3 - 2*k**2 + 4*k + 1. Let f be r(-3). Let h(v) = -6*v**2 + 7*v**2 - 3*v - 2 - 4*v**2. Calculate h(f). -8 Let x(m) = -5*m**3 + 8*m + 2. Let l(i) = -i**3 + i**2 + i + 1. Let f(w) = 6*l(w) - x(w). Calculate f(6). -8 Let s(u) = 0*u + 0*u + 8 - 9 - u**2. Determine s(2). -5 Let a = 7 - 1. Let m(b) = -b - 7*b**3 + 2*b**3 + 0 + 3 + 4*b**3 + 6*b**2. Give m(a). -3 Let l(b) = -b**2 + b - 5. Let s be 3 + (2 - -1)*-1. Calculate l(s). -5 Let o(n) = 2*n. Let l be o(1). Let g(p) = -3*p**2 + 3*p**2 - 6*p - p**l - 7. Determine g(-5). -2 Let h(y) = y - 6. Let l be 0*-4*(-4)/32. What is h(l)? -6 Suppose -2*n + 6*n - 16 = 0. Let m(t) = -5*t**2 + t - 1. Let p(q) = -q**2 - q. Let d(v) = -m(v) + 4*p(v). Give d(n). -3 Let g be (-34)/(-5) + (-1)/(-5). Let z(w) = 2*w - 7. Give z(g). 7 Let q = -36 + 42. Let f(l) = 3*l - 9. Calculate f(q). 9 Let h be (-1)/(-1 + 2/4). Suppose -2*y + h*l + 1 + 7 = 0, -y + 2*l = -6. Let p(o) = -2*o + 2*o + 3*o - 1 - y*o. Determine p(1). 0 Let a(d) = -d + 3. Let k be (-4)/(-6)*(13 - 1). Suppose k = -3*p - 4. Let v be p/22 + (-10)/(-55). Give a(v). 3 Let l(o) be the second derivative of o**3/6 - 11*o**2/2 + 2*o + 10. Calculate l(11). 0 Let k(a) be the first derivative of -a**7/84 - a**6/360 + a**5/120 + a**4/24 - 4*a**3/3 - 4. Let w(s) be the third derivative of k(s). Calculate w(-1). 9 Let x(c) = c**2 + c + 2. Let l be 5*(-1 + 14/10). Give x(l). 8 Let q = 10 + -15. Let s(l) = -4*l**2 - l + 3. Let i(d) = d**2 - d + 1. Let h(c) = 3*i(c) + s(c). Calculate h(q). 1 Let x(o) be the first derivative of o**3/3 + 2*o**2 + 3*o - 1. Suppose -2*k = 3*n - 6 - 12, -4*k + 30 = 3*n. Let u = -11 + k. What is x(u)? 8 Let x(w) = -10*w**2 - 6*w + 9. Let j(a) = -7*a**2 - 4*a + 6. Let m(c) = -7*j(c) + 5*x(c). Let s(k) = k**3 - 4*k**2 + 3*k - 1. Let z be s(2). What is m(z)? 0 Let z be (-1 + 5)/(-2) - 3. Let q(c) = c**3 + 5*c**2 + 2*c + 6. Let b be q(z). Let r = -8 - b. Let y(l) = l**2 + 2*l + 2. Determine y(r). 10 Let s(y) be the first derivative of -1/2*y**2 + 2 + 7*y. Calculate s(6). 1 Let v be -2 + 18/2 - (-9)/(-3). Let w(g) = -g**3 + 5*g**2 - 3*g - 1. Give w(v). 3 Let y(s) = s**3 - 7*s**2 + 8*s - 8. Suppose 20 = 4*z + z. Suppose -5*h + z*d = -50, 2*h + 0*h - 17 = d. Give y(h). 4 Suppose 19 = 3*d + 1. Let v(t) = -t + 8. Calculate v(d). 2 Let k(c) = c + 3. Let q(t) = t**2 + 7*t + 6. Let f be q(-4). Give k(f). -3 Suppose 0 = 26*k - 29*k + 3. Let g(y) = 2*y**3 + 2*y**2 - 2*y + 1. What is g(k)? 3 Let w(d) = -d**3 - 6*d**2 - 3*d + 4. Suppose -y + 2*j + 1 = 0, -3*j = -3*y - 0*y - 6. Calculate w(y). -6 Let c(y) = -y**3 - 5*y**2 + 4*y - 2. Suppose 5*m = 4*i + 29, m - 6*m = -i - 11. Calculate c(i). 10 Let w = -1 - 3. Let u be (-28)/(-10) + (-2)/(-10). Let n = u + w. Let y(x) = -10*x - 1. Calculate y(n). 9 Suppose 0 = 3*d + 26*d - 145. Let u(v) = v - 6. Let g = 12 + -1. Let l(n) = 5*n - 30. Let m(b) = g*u(b) - 2*l(b). Calculate m(d). -1 Let w(n) = 2*n**2 - 5*n + 6. Let p be w(2). Let t(a) = -a**2 + 5. Calculate t(p). -11 Suppose 2*h + 2*h - 3*q + 25 = 0, 2*h - 2*q + 14 = 0. Let y(a) = 1 + 3*a + 12*a**2 - 13*a**2 - 5*a. Determine y(h). -7 Let k(g) = 2*g**3 + 12*g**2 - 3*g - 11. Let r be k(-6). Let u(s) = -3*s + 3. Give u(r). -18 Let w(y) = y + 2. Suppose 0 = 5*q + 1 + 19. Give w(q). -2 Let w(a) be the third derivative of a**2 + 0*a + 0 + 11/6*a**3 + 1/20*a**5 - 5/12*a**4. Let p(x) = 2*x**2 - 5*x + 6. Let u(i) = 5*p(i) - 3*w(i). Give u(-4). -7 Let c(s) = -257*s - s**2 + 4 - 15 + 257*s. Give c(0). -11 Let y be 2/1*(-1 - -2). Let j(g) = -g**2 + 2*g - 1. Determine j(y). -1 Let t(l) = 2*l**3 - 3*l**2 - 2. Let j(n) be the first derivative of -n**4/4 + n**3/3 + n - 2. Let y(d) = 5*j(d) + 2*t(d). Determine y(1). -1 Let b = -
{ "pile_set_name": "DM Mathematics" }
= -733/3 + 240. Let j = h + c. What is the second biggest value in 4, j, 2? 2 Let s = 186 - 180. Let i be (0/(-2) - -1) + -46. Let u be (-9)/s*12/i. What is the second biggest value in -4, u, -0.2? -0.2 Suppose -18 = -5*m + 12. Suppose -7*r - m = -r. Let l = -3 - -4. Which is the second smallest value? (a) r (b) l (c) -2/5 c Let g be (-25984)/(-2560) - 20/2. What is the second smallest value in 0.2, -54, g? g Let t = -62 + 57. Let d be 0 + 1 - 1*-4. Which is the second biggest value? (a) t (b) d (c) -0.03 c Let q = 42.1 + -41.8. Let b = 0.14 + -0.07. What is the biggest value in b, -2, q, -4? q Let f = -14.61 - -10.61. Which is the smallest value? (a) f (b) 16/11 (c) -1 (d) 0 a Suppose -14 = -57*p + 64*p. What is the fourth biggest value in -2/9, 2/5, -1, p? p Let t(i) = -11*i + 30. Let k be t(3). Let f be 5/(-3 + 2 + 2). Which is the second smallest value? (a) -1 (b) f (c) k a Let u(n) = -n**3 - 8*n**2 + 15*n - 46. Let q be u(-10). Which is the biggest value? (a) -0.4 (b) q (c) 799 c Let w = 33 + -15. Let l = -18 + w. Which is the smallest value? (a) l (b) -2/7 (c) -5 c Suppose -3 = 8*q + 37. Let l be -2*1*(q/(-1))/(-10). What is the third smallest value in l, -2, -0.08? l Let n = 148.4 - 148. What is the biggest value in 2/3, 5, n? 5 Let s = -3146 - -47188/15. Let q be (-5 + 4)*(1 - 4). Which is the second biggest value? (a) q (b) 8 (c) s (d) 0 a Let q = -2322 - -183435/79. What is the biggest value in 1/3, -5, q? 1/3 Let p be 45/232 + 146/(-1168). Let t = 2 + -6. Which is the second biggest value? (a) p (b) -0.4 (c) t (d) 3 a Let h be 1*(0 - 36/9). Let w be (6/10)/((-8)/(-5)). Which is the second biggest value? (a) h (b) 1/4 (c) w (d) -5/8 b Let l = 0.212 - 0.412. Which is the fourth smallest value? (a) l (b) 0.3 (c) -3 (d) -2.2 b Let h = -739/5 - -148. Which is the second smallest value? (a) -5 (b) -2 (c) 2 (d) h b Let o = 0.01 + 0.29. Let v be 108/120 + (-6)/15. What is the biggest value in 0.2, v, o? v Suppose -115*z + 44 = -126*z. What is the third biggest value in 7, z, 1? z Suppose -3*g + 2*j = -8, 3*j = 3*g + g - 11. What is the fourth smallest value in 22, 0.3, -1, g? 22 Let x = -0.2 + 0.6. Let y = 0.00569 + -0.20569. Which is the third biggest value? (a) -0.5 (b) x (c) y (d) 1 c Let f be (1 - 1) + 3*-1. Let s = 1027 - 1027.5. What is the third smallest value in s, f, -0.2, 4? -0.2 Let p be 0*(-4 - 1)/10. Which is the third biggest value? (a) -0.83 (b) p (c) 1/4 a Let x = 0.156 + 3.844. Which is the second smallest value? (a) x (b) -1/3 (c) -92 b Suppose 0*o + 2*o = -3*p - 1, -5*p = o + 11. Let t be (-6 + o)*6/60. Which is the smallest value? (a) 2 (b) t (c) 0.06 b Let x = 18.3 + -18.306. What is the third smallest value in 5, x, 0.3? 5 Let z be 50/(-126) + (-2)/(-7). Let y = -80 + 99. Let l = y + -19.1. Which is the biggest value? (a) z (b) 1 (c) l b Suppose -129 + 149 = -20*w. What is the third smallest value in -2/7, w, 560? 560 Let b = 0.11 - -3.89. Let t = -844.4 - -844. What is the second biggest value in -5, b, t? t Let w = 1597 - 1602. What is the second smallest value in w, -14/3, 0.2? -14/3 Let i = 0.701 - 0.67. Let n = i + 0.269. Which is the second biggest value? (a) 4 (b) n (c) -0.1 b Let z = -30.5 + 30.5. What is the biggest value in -2, -3/4, 0.03, z? 0.03 Let v = 965.6 + -966. What is the smallest value in 1, 24, v? v Let t be 0 + -3 - 152/(-56). Suppose -5*l = 4*h - 44 + 11, -16 = -2*l - 3*h. What is the second smallest value in t, l, -8? t Let q = -1.07 + -0.33. Let t = q - -1.8. Which is the third smallest value? (a) t (b) 2 (c) 1/2 b Let s be -2*(45/6 - 0). Let y be (-8)/10 - 6/s. Suppose -2*j + 10 = 3*j. What is the second smallest value in j, y, 1? 1 Let o be (-1)/(-4) + 0/(-2). Let p = -16148/23 + 702. Which is the third smallest value? (a) p (b) o (c) -1 b Let m = -20.59 + 20.35. What is the third smallest value in -5, m, -2? m Let u = -1691 - -11815/7. What is the biggest value in 2, u, 4? 4 Let o = 9.4 + -9. Let f = 415 - 414. What is the second biggest value in f, 3, o? f Let u be (5/1)/(2 - 1). Let c be (-4 + 6)*u/105. Let o be (2/(-12))/(3/12). What is the third biggest value in o, -8, c? -8 Let m = -0.5 + -1.5. Let s = 1457 - 1460. What is the biggest value in s, m, -1/3? -1/3 Let a = 11.2 - 11.253. Let q = 0.017 - a. What is the fourth biggest value in -3/7, 0.4, q, 1/2? -3/7 Let z(q) = -2*q**2 - 12*q - 20. Let g be z(-4). Which is the biggest value? (a) 1/9 (b) 4 (c) -1 (d) g b Let j = -33 - -32.5. Let w = 5.5 + j. Which is the third biggest value? (a) -5/6 (b) w (c) 2/5 a Let k = 17.64 - 18. Let z = 0.4 + k. Let o be -2 + 2 + 8/(-52). What is the second smallest value in o, z, 4? z Let q = -0.1 + 0.1. Let y be (1/4)/(15/(-5) + 4). Which is the second smallest value? (a) q (b) -3/14 (c) y a Let h be (-6)/15 + 2/30. Let w be (0/1)/(7 + (-48)/6). Which is the biggest value? (a) -2/9 (b) h (c) w c Let m = 0.00831 - -0.39169. Let t be 0 + 2*(-1)/(-22). What is the second smallest value in 3, t, -3, m? t Let z = -0.7 + -0.3. Let u = z - -0.5. Let q = -29509/9 - -3279. Which is the second smallest value? (a) u (b) q (c) -1/6 c Suppose 21 = n + 4*r, 21 = 28*n - 27*n + 2*r. What is the third smallest value in -0.5, 0, n? n Let c be (104/12 - 4)*4/(-14). Let d(y) = -y**3 + 2*y**2 + 4*y + 18. Let h be d(4). Let g = -0.2 - -0.1. What is the second biggest value in h, g, c? g Let y = -129.6 - -130. Suppose 4*z - 4 - 8 = 0. What is the third biggest value in -5/3, z, y? -5/3 Let y = -1 - -1. Let t = 108 + -112. Let w = t - y. Which is the second biggest value? (a) -5 (b) w (c) 3 b Let s = 2.7 - 4. Let k = -1.1 - s. What is the second smallest value in -2/3, k, -4? -2/3 Let w = -592.1 - -618. Let u = 26 - w. Let z be 0 - (-1 - (-2)/4). Which is the second biggest value? (a) z (b) u (c) -4 b Let i = 1 + 2. Suppose 3*m - i = 9. Suppose -t = l - 4 - 2, 2*l - 5*t = -9. What is the third smallest value in -0.5, l, m? m Let m = 1077 - 1075. Which is the third smallest value? (a) -19/2 (b) 1/4 (c) m c Suppose 13*o + 527 + 526 = 0. Let x = -86 - o. What is the third smallest value in 3/2, 5, x? 5 Let r = 59 + -55.94. Let x = 3 - r. Let l = x + 0.56. What is the second biggest value in l, -1, 1/6? 1/6 Let l = 0.5 + -0.1. Let g = 0.41416 - 0.11416. What is the biggest value in g, 2/13, l? l Let q = 0.33 - -16.67. Let f = 17.02 - q. Let p = -2.6 - -2.3. What is the second smallest value in f, 0, p? 0 Let p = -1259.6 - -1260. Which is the fourth smallest value? (a) -5 (b) 5 (c) -10 (d) p b Let t = 6 + -5.9. Let l = 6.32 + -1.02. Let z = l + -5. Which is the third smallest value? (a) z (b) -2 (c) t a Let i be -4*(57/12 - 4) - 0. Let s be (i/(-6))/((-3)/(12/(-70))). Which is the third smallest value? (a) 5 (b) s (c) 2 a Suppose 0 = 4*n - 2*j + 28, -4*n + 5*j = j + 32. Let z = -1476/7 - -211. Let h = 0.5 - 0.7. Which is the biggest value? (a) n (b) h (c) z c Let c be (-26)/91 + (-3424)/70. Let d = 49 + c. Let l be 20/70 - (-2)/(-7). What is the second smallest value in d, 1/7, l? l Let j = 0.507 - 0.207. Which is the third smallest value? (a) -3.2 (b) j (c) 2 c Let m = 404.8 + -405. Which is the third biggest value? (a) -3 (b) -4/7 (c) m a Let s = -11 + 10.92. Let t = 31/26 + -9/13. Which is the smallest value? (a) s (b) -4 (c) t b Let p = -0.07 - 11.93. Let x = 8 + p. What is the smallest value in x, 0.6, 2? x Let n be (-3)/2*8/(-6). Let k be (-3)/12*64/80. Which is the fourth biggest value? (a) k (b) n (c) -4 (d) 1/2 c Let w = -89.4 + 88.4. What is the smallest value in 2, w, 1/8? w Let g = 2 + -2.02. Let p = 74 - 73.5. Suppose -31*z + 33*z = 6. Which is the third biggest value? (a) p (b) z (c) g c Let u = 106 - 107. Which is the smallest value? (a) u (b) 0.069 (c) -0.4 a Let v = 925 - 923. What is the third smallest value in v, 1/13, -5? v Let k = 1595/24 - 199/3. Let s be 1*2/2*4. Let d = 22 - 89/4. Which is the biggest value? (a) s (b) k (c) d a Let y = -9 + 44. Let f be ((-20)/y)/((-15)/21). What is the third smallest value in f, 0.5, -2, 2/15? 0.5 Let a = -9 + 10. Let w = -365 + 370. What is the second smallest value in 2/11, a, w, -3/4? 2/11 Let q be 1*-1*(-2 - 1). Let o = -2.48 + 0.08. Let v =
{ "pile_set_name": "DM Mathematics" }
years are there in twenty-nine halves of a century? 1450 What is nine tenths of a millimeter in micrometers? 900 What is 402.7257 litres in millilitres? 402725.7 What is 0.2582914 kilometers in meters? 258.2914 What is 12/25 of a kilometer in meters? 480 What is thirteen fifths of a century in decades? 26 What is 742610.3 meters in micrometers? 742610300000 What is 2457524.79 minutes in weeks? 243.8020625 What is 44/5 of a gram in milligrams? 8800 How many seconds are there in 0.3718093 weeks? 224870.26464 Convert 92.70327 meters to kilometers. 0.09270327 What is 3/8 of a millimeter in micrometers? 375 How many seconds are there in 30352.24 nanoseconds? 0.00003035224 What is 37948.59 millennia in years? 37948590 How many grams are there in 6/25 of a kilogram? 240 What is 4190.235 months in years? 349.18625 What is 2.828679 millilitres in litres? 0.002828679 What is 1/10 of a centimeter in micrometers? 1000 What is 1.103673 hours in days? 0.045986375 What is 17/4 of a decade in months? 510 How many millilitres are there in 93/4 of a litre? 23250 How many millennia are there in 284255.34 months? 23.687945 How many tonnes are there in 68.43617g? 0.00006843617 How many meters are there in 3/40 of a kilometer? 75 What is 5.639946 minutes in microseconds? 338396760 What is twenty-one halves of a kilometer in meters? 10500 How many centimeters are there in 1/5 of a kilometer? 20000 How many milligrams are there in 6/25 of a gram? 240 What is 4.750393 years in months? 57.004716 How many months are there in 47.3385 decades? 5680.62 How many nanoseconds are there in 28753.3us? 28753300 What is nine tenths of a hour in minutes? 54 What is 44/5 of a decade in months? 1056 How many grams are there in 0.8394283kg? 839.4283 What is four fifteenths of a decade in months? 32 What is 53.6824 grams in tonnes? 0.0000536824 What is 699677.5nm in micrometers? 699.6775 Convert 2.646336 millilitres to litres. 0.002646336 What is 92.76171 hours in milliseconds? 333942156 How many litres are there in 27511.5 millilitres? 27.5115 What is 505406.8 decades in centuries? 50540.68 How many weeks are there in 32335140.6ms? 0.0534641875 How many milliseconds are there in twenty-five quarters of a second? 6250 What is 759829.2 days in milliseconds? 65649242880000 Convert 3797.999 micrometers to nanometers. 3797999 Convert 8.608444 years to centuries. 0.08608444 What is one twentieth of a millimeter in nanometers? 50000 What is five quarters of a kilogram in grams? 1250 Convert 98.91497l to millilitres. 98914.97 Convert 79142.77 millennia to centuries. 791427.7 What is 151931.22 months in millennia? 12.660935 What is 3/8 of a milligram in micrograms? 375 How many tonnes are there in 538058.8mg? 0.0005380588 How many months are there in nineteen quarters of a millennium? 57000 What is 0.786154 centimeters in kilometers? 0.00000786154 What is 58/3 of a hour in seconds? 69600 How many kilograms are there in seven eighths of a tonne? 875 What is six fifths of a milligram in micrograms? 1200 What is six fifths of a litre in millilitres? 1200 Convert 4.748818 millimeters to nanometers. 4748818 How many years are there in 3/25 of a century? 12 What is 1/20 of a kilometer in meters? 50 How many months are there in 823444.7 millennia? 9881336400 What is eleven halves of a litre in millilitres? 5500 How many days are there in 828.59481 minutes? 0.5754130625 Convert 7964.553nm to meters. 0.000007964553 What is 13/8 of a millimeter in micrometers? 1625 What is twenty-nine fifths of a milligram in micrograms? 5800 How many millilitres are there in 0.357064 litres? 357.064 What is 25/4 of a kilometer in meters? 6250 How many milligrams are there in 11/8 of a gram? 1375 How many grams are there in eleven quarters of a kilogram? 2750 What is fifty-seven fifths of a gram in milligrams? 11400 How many meters are there in nine tenths of a kilometer? 900 How many micrometers are there in one quarter of a millimeter? 250 How many millimeters are there in 0.9661998 centimeters? 9.661998 What is 37/2 of a century in years? 1850 How many milligrams are there in 6/5 of a gram? 1200 What is 3/50 of a millennium in decades? 6 How many decades are there in 6.51914 years? 0.651914 What is 5.537165ug in tonnes? 0.000000000005537165 What is 30075.9g in nanograms? 30075900000000 How many years are there in 5/4 of a century? 125 What is one fifth of a milligram in micrograms? 200 How many litres are there in 38225.44 millilitres? 38.22544 What is nineteen quarters of a micrometer in nanometers? 4750 What is 11/8 of a millennium in years? 1375 What is 0.4481067 millilitres in litres? 0.0004481067 How many milliseconds are there in 1/6 of a minute? 10000 Convert 882711.9 millilitres to litres. 882.7119 Convert 16.280259 months to millennia. 0.00135668825 How many milliseconds are there in 1/5 of a minute? 12000 What is 3/50 of a second in microseconds? 60000 How many years are there in thirty-seven fifths of a decade? 74 Convert 5248.278ms to seconds. 5.248278 How many tonnes are there in 4.609437 kilograms? 0.004609437 What is thirteen quarters of a kilometer in meters? 3250 What is eight sevenths of a week in hours? 192 How many centimeters are there in 5.47601m? 547.601 How many weeks are there in 4997309.31ns? 0.000000008262746875 What is 6/5 of a meter in centimeters? 120 How many minutes are there in 3/10 of a hour? 18 Convert 2.828717nm to centimeters. 0.0000002828717 How many years are there in 85.92064 millennia? 85920.64 How many days are there in 0.9117756 weeks? 6.3824292 What is 0.7237788 tonnes in milligrams? 723778800 Convert 3.138514 nanoseconds to milliseconds. 0.000003138514 How many months are there in twenty-one halves of a decade? 1260 What is three eighths of a litre in millilitres? 375 How many centuries are there in 22710.099 months? 18.9250825 How many grams are there in 11/2 of a kilogram? 5500 How many micrograms are there in three fifths of a milligram? 600 Convert 47.12069 micrometers to nanometers. 47120.69 Convert 0.7289838 litres to millilitres. 728.9838 What is 3/8 of a kilometer in meters? 375 What is 6/5 of a litre in millilitres? 1200 Convert 9696.15 millennia to decades. 969615 How many centimeters are there in 902431.4m? 90243140 Convert 1551656.4 months to decades. 12930.47 What is 705185.6 centimeters in micrometers? 7051856000 What is 15.98023 millennia in months? 191762.76 Convert 33905.02 nanograms to tonnes. 0.00000000003390502 What is seventy-two fifths of a meter in centimeters? 1440 Convert 4.679371g to nanograms. 4679371000 What is 2565.92 milligrams in grams? 2.56592 How many micrograms are there in 408.325 nanograms? 0.408325 What is 31/5 of a litre in millilitres? 6200 Convert 27.4846 millennia to years. 27484.6 How many millimeters are there in 32/5 of a centimeter? 64 What is 410069.79 nanoseconds in hours? 0.000000113908275 What is 0.0689495 litres in millilitres? 68.9495 How many nanograms are there in 15.33556mg? 15335560 What is thirteen eighths of a microgram in nanograms? 1625 How many micrograms are there in one tenth of a gram? 100000 What is 51/5 of a decade in years? 102 How many decades are there in eleven halves of a millennium? 550 What is four sevenths of a week in minutes? 5760 Convert 46.2537 months to decades. 0.3854475 Convert 0.673008m to millimeters. 673.008 What is nineteen quarters of a meter in millimeters? 4750 What is 6/5 of a centimeter in micrometers? 12000 How many months are there in 7/6 of a millennium? 14000 What is 0.6496385mm in meters? 0.0006496385 What is 1/15 of a day in seconds? 5760 How many minutes are there in 1/28 of a week? 360 How many nanometers are there in five eighths of a micrometer? 625 How many millilitres are there in 1/5 of a litre? 200 What is fifteen sixteenths of a minute in milliseconds? 56250 How many kilometers are there in 5647.572nm? 0.000000005647572 How many millennia are there in 0.2272604 centuries? 0.02272604 Convert 1.38857ml to litres. 0.00138857 How many milliseconds are there in 0.4546057ns? 0.0000004546057 How many millimeters are there in 974108.3 kilometers? 974108300000 What is 6/5 of a litre in millilitres? 1200 What is 1/4 of a meter in centimeters? 25 How many grams are there in 2
{ "pile_set_name": "DM Mathematics" }
is the closest to 0.155 in -0.1, -3/8, -3/4, 3, -4? -0.1 What is the nearest to 2/13 in 1/8, 0.03, 0.06, -0.3, -7/4? 1/8 What is the closest to -2 in 0.1, -2/15, 0, 29.8, 7/19? -2/15 What is the nearest to -2 in 0.04, 21/10, 0.1? 0.04 What is the closest to 8 in -1/2, -0.3, 1/3, 10, -0.6? 10 Which is the closest to -18? (a) 0.4 (b) -1 (c) 112/5 b What is the nearest to 0.1 in -0.2, -5, -774, 3? -0.2 Which is the nearest to -12? (a) -3/4 (b) 3 (c) -4/3 (d) -0.3 (e) -17/98 c Which is the nearest to 21? (a) 0.4 (b) -111 (c) -2 (d) -1/2 a Which is the nearest to 1.5? (a) 38 (b) 0.7 (c) 12 b What is the closest to -25 in -5, 794, 4/3, 5, 3? -5 Which is the closest to 0? (a) -6 (b) -2 (c) -253 (d) 3 (e) -0.1 e Which is the nearest to -2? (a) -4 (b) -1/4 (c) -0.06 (d) -3/47 (e) 22 b Which is the closest to 0? (a) 1 (b) -3 (c) 4 (d) 1/9 (e) 1311 d Which is the nearest to -2/5? (a) 243 (b) -2 (c) -12 (d) 0.03 d Which is the closest to -1? (a) -67 (b) 0.2 (c) 0 (d) 4/3 (e) -1/4 e What is the closest to 2/5 in -0.34, 4, 8391, -0.4? -0.34 What is the nearest to -3 in -0.0198, 4, 0.4, -0.4? -0.4 Which is the closest to -1? (a) 108/71 (b) 1/3 (c) 0.4 (d) -4 b Which is the closest to 0.4? (a) -2/3 (b) -47372 (c) -1/8 c What is the closest to -5 in 0.1, -0.26, -32, -2/71? -0.26 What is the closest to -14 in -21, -0.54, -5? -21 Which is the closest to 1.1? (a) -0.1 (b) 0 (c) -1/9 (d) -2 b What is the nearest to -2 in -1, -26, 0.6? -1 What is the nearest to 0.2 in -2/15, -1/3, -1/2, 3/47? 3/47 What is the closest to -4 in -3, 5, 3, -5810? -3 What is the nearest to 0.1 in -0.046, -1.6, -0.4, 2? -0.046 What is the nearest to -0.12 in -0.7, -0.5, 4/13? -0.5 What is the nearest to 21 in 1/6, -4/3, -6, 4? 4 Which is the nearest to -5? (a) 0.2 (b) 43 (c) 26 (d) -3/7 (e) -0.2 d What is the closest to 0.1 in -0.2, 0.2, 33, 35, 2/7? 0.2 Which is the closest to 0? (a) -0.28 (b) -386 (c) 6 a What is the closest to 32/7 in -2, 25/7, 5, 3, 0.2? 5 What is the closest to 281 in 1, 0.3, -10/7? 1 What is the nearest to 2 in 1, 2/15, 0.11, -2/3, -9? 1 Which is the closest to -198? (a) 0 (b) -14 (c) -2 (d) -1 (e) -5 b Which is the nearest to 1? (a) -18831 (b) -0.1 (c) -0.4 b Which is the closest to -1.8? (a) 3/2 (b) -2249 (c) 3 (d) 4/7 (e) 5 d What is the nearest to -10.69 in 0.1, -4/5, 1/3, 0.4? -4/5 What is the closest to 0 in -0.1, -1, -34477? -0.1 What is the closest to 16 in -0.1, 205, 4, -2/9, -2? 4 What is the nearest to 8 in 0.4, 0.176, -1/2, -2/19? 0.4 What is the closest to 1/3 in 1/2, -23, -0.5, -32/7? 1/2 Which is the nearest to 15? (a) -1 (b) 0 (c) -3 (d) -3/73 b What is the nearest to 1 in -4, -0.72, 5, -0.4, 0.2? 0.2 What is the nearest to -1/2 in -7, -15, -2, 201? -2 What is the nearest to -2 in 0.3, 1, -67, 9? 0.3 Which is the closest to 0.1? (a) -3 (b) 4/7 (c) 354 (d) 4 b What is the closest to 1 in -19, 2, 68, -2? 2 What is the closest to 0.1 in -4/9, 0.9, 0.12, 0.4? 0.12 What is the nearest to 1 in -1, 0.13, 5, 6, 0.3? 0.3 Which is the nearest to -1/2? (a) 1 (b) -1.9943 (c) 0.1 c Which is the nearest to -2? (a) 13/3 (b) -1.7 (c) 0.1 (d) -4 b Which is the nearest to -0.1? (a) -4.9 (b) 2/5 (c) -1/2 (d) -2/7 (e) -2/11 e What is the nearest to 2 in -2/47, 5, -4.9? -2/47 What is the closest to 1.5 in -0.5, -66, 4? -0.5 Which is the closest to -1/4? (a) 4 (b) 1 (c) 47.781 b Which is the nearest to -17? (a) -6/11 (b) 2 (c) 56 a What is the nearest to 8 in -1/3, 1/8, -0.4, 8/75? 1/8 Which is the nearest to 9/19? (a) -4 (b) -12 (c) 0.7 c What is the closest to 992/5 in -3/5, 3, 1, -0.3? 3 What is the closest to 6187 in 1/5, 4, 5? 5 What is the closest to -3 in -2/5, -12, 10, 20? -2/5 What is the closest to 0.03 in 13, 82, -0.18? -0.18 What is the closest to -10 in 1, -27, 4, 0.2, -3? -3 What is the nearest to 41 in 60, -2/9, -5? 60 Which is the nearest to 0.2? (a) 582 (b) 0.2 (c) -2 b What is the closest to 4 in -59, -3/5, -0.3, 5? 5 Which is the nearest to -727? (a) 0 (b) 1/4 (c) 0.4 (d) 4 (e) 3/8 a What is the nearest to -257 in 1, -1/3, 0.3, -1, -2/61? -1 What is the nearest to 4 in 0.2, 2, -2, -29.2, -0.01? 2 What is the closest to 1.3 in 0.7, 29, -7, -3/4, 2/7? 0.7 Which is the closest to 0.13? (a) 0 (b) -0.4 (c) 2/43 c What is the closest to 7/10 in 2/9, -1/6, -5/3, -1/4? 2/9 What is the nearest to -0.2 in 2/11, 2/7, -20/137, -4, -1? -20/137 What is the nearest to 3/5 in 53, 3/7, -0.06? 3/7 Which is the closest to -724? (a) 2 (b) -3 (c) 4 (d) 0.1 b What is the nearest to 3 in 2/13, -7, -0.1, 34? 2/13 What is the closest to 1.2 in 2, -1/3, 54, -5? 2 What is the nearest to 1/3 in 5, 3/7, 1/8, 31/3, 3? 3/7 What is the nearest to -1378 in -1/3, -1/4, -0.02, -0.3? -1/3 Which is the closest to -751? (a) -0.1 (b) -3 (c) 1/3 (d) -0.3 b What is the nearest to 2/3 in 2/27, -10/177, 22, -1/9, 4? 2/27 Which is the closest to 0.1? (a) -626/7 (b) 17 (c) -3/2 c What is the closest to 2/7 in -4, 2.35, 2/13? 2/13 Which is the nearest to 1? (a) -1 (b) 0.3 (c) 5 (d) 2/107 (e) -2/1663 b What is the nearest to -1.69 in 3, 0.1, 76/5? 0.1 Which is the closest to 1? (a) 0.67 (b) -0.28 (c) 2 a Which is the nearest to -2? (a) -192 (b) 51/2 (c) 6 c What is the nearest to 0.06 in 127, -135/2, -4? -4 What is the closest to 1 in 9, 2/13, 91/5? 2/13 Which is the nearest to -1/3? (a) -1 (b) 1 (c) 12/47 c What is the closest to 0.4 in 0, -1/13, 4, 0.2, -0.2? 0.2 What is the nearest to -56/3 in -23, 0.4, -0.4, -0.5? -23 What is the nearest to 1 in 1/6, 1076, 2/21? 1/6 What is the closest to 0 in -8.64, 0.3, -3? 0.3 What is the closest to -1 in -2/19, 0.1, -2, 0.24, -8.8? -2/19 What is the closest to -0.1 in -480, -2, 21? -2 What is the nearest to -9 in 1/275, 0, -2, -6/7? -2 What is the closest to -4 in 4, 159, 0.08? 0.08 Which is the nearest to 0.1? (a) -7 (b) 1/3 (c) 6 (d) 1/10 d Which is the closest to -99949? (a) 1/2 (b) 0 (c) -1/6 (d) 5 (e) 0.2 c Which is the nearest to -1.3? (a) 3 (b) -1/12 (c) -0.4 (d) 1/6 c What is the nearest to 0 in 0.9, 5, 3, -4.9? 0.9 What is the nearest to 2.7 in -103, 0, 1/4? 1/4 What is the closest to -0.1 in 121, -3, -2/25? -2/25 What is the nearest to -0.8 in 1, -2, -6, -228, 5? -2 What is the nearest to 2 in -417, 5, -5, -3? 5 What is the nearest to -1.2 in 22.4, 4, 22/5? 4 Which is the closest to -0.7? (a) -0.2 (b) 17/3 (c) -3 (d) 0.5 a What is the closest to -2/9 in 434, -0.06, 0.2? -0.06 What is the closest to 46 in -6, -2/19, 0.2, -11? 0.2 Which is the nearest to -10/7? (a) 66 (b) 2/3 (c) -1/4 (d) 0.5 c Which is the nearest to 0.5? (a) 2 (b) 7/2 (c) 37 (d) -3 a What is the closest to 0 in 0.11, 0.25, -6/11, 3/23, -0.3? 0.11 What is the closest to -0.14 in 296, -0.1, -1/6, 4, -2/9? -1/6 What is the closest to -1 in 1/19, -0.3, 1, 2/179? -0.3 Which is the closest to 0.33? (a) -2 (b) 13010/11 (c) -4/3 c What is the closest to 0.1 in 57, 5, 166? 5 Which is the closest to 1? (a) 12 (b) 1/6 (c) 0.38 (d) 2/7 c What is the closest to -2/11 in 21.1, -4/11, 2, -2/79? -2/79 Which is the nearest to -2/7? (a) -1 (b) -2/5 (c) -81149 b What is the closest to -101 in 37, -3, 0.1, 1? -3 Which is the closest to -0.2? (a) 0.5 (b) 4/3 (c) 140 (d) -0.1 (e) -1/5 e Which is the nearest to 1? (a) 3 (b) -4 (c) 0.26 (d) -3/23 (e) -0.05 c Which is the closest to -0.288? (a) -8 (b) 2.6 (c) 0.5 c Which is the nearest to -2? (a) -9/8 (b) -4 (c) -2 (d) 1/2 c Which is the closest to -2/47? (a) -0.9 (b) 3 (c) -13 a What is the nearest to 0.1 in -245, 0.02, -11? 0.02 Which is the nearest to -123? (a) -0.2 (b) -12 (c) 1/6 (d) -4 b Which is the closest to -0.2? (a) 10 (b) -2/81 (c) 24 b Which is the nearest to -2? (a) -5 (b) 0.2 (c) -0.24 (d) -2/19 (e) 34 c Which is the closest to 15/8? (a) -0.3 (b) 1/18 (c) -0.72 b Which is the nearest to 7? (a) 166 (b) -0.4 (c) -9/10 (d) -2/9 d What is the nearest to 0.0318 in -0.4, -0.3, -2/7, 0, -16? 0 Which is the nearest to 25? (a) -2/45 (b) -6 (c) 0.5 (d) 1/9 c Which is the nearest to -1? (a) 7214 (b) 10 (c) -5 (d) -0.2 d Which is the closest to -1? (a) -0.7 (b) -120/11 (c) 2 a What is the nearest to -534 in 0.11, 1, 5/2? 0.11 Wha
{ "pile_set_name": "DM Mathematics" }
-546*sqrt(19) + 4599 Simplify ((3*sqrt(77)*-1)/sqrt(11) + sqrt(567)*-2 + (sqrt(70) - (-1*sqrt(70) - sqrt(70)))/sqrt(10))**2. 2268 Simplify -2*sqrt(17) + -5 + 5*(sqrt(17) + 1). 3*sqrt(17) Simplify (0 + sqrt(252))*-1. -6*sqrt(7) Simplify -2 + sqrt(272)*-3 + -2. -12*sqrt(17) - 4 Simplify sqrt(5) + sqrt(45) + 0 + 5. 5 + 4*sqrt(5) Simplify (-3*3*(-3 + sqrt(1700)))**2. -4860*sqrt(17) + 138429 Simplify (4*sqrt(170))/sqrt(10)*-4. -16*sqrt(17) Simplify (-5 + sqrt(28)/(2*sqrt(4)*2))**2. -5*sqrt(7)/2 + 407/16 Simplify -5*(0 + sqrt(500))*3. -150*sqrt(5) Simplify ((sqrt(612) + 1 + sqrt(612) - sqrt(612) - -1*sqrt(272))*2)**2. 80*sqrt(17) + 6804 Simplify (((sqrt(343)*-2)/sqrt(7) - sqrt(49))/(sqrt(7) - 3*sqrt(252)))**2. 63/289 Simplify -4 + (-2*sqrt(4050))**2. 16196 Simplify 2 + sqrt(76)/((sqrt(28)/sqrt(7) + sqrt(4))*-2 + sqrt(4)). -sqrt(19)/3 + 2 Simplify (-4 + sqrt(80)/(sqrt(10)*1 + sqrt(10) + sqrt(10)))*1. -4 + 2*sqrt(2)/3 Simplify sqrt(704)*1 + sqrt(11) + 6*sqrt(176). 33*sqrt(11) Simplify (5 + sqrt(156)/sqrt(12))*4*-4. -80 - 16*sqrt(13) Simplify (2 + (sqrt(153) + -5)*4)**2. -432*sqrt(17) + 2772 Simplify (sqrt(44) + -4 + -1 + sqrt(44) + sqrt(44))**2. -60*sqrt(11) + 421 Simplify -6*(sqrt(2) + sqrt(10)/sqrt(5))*3. -36*sqrt(2) Simplify (0 + (2 + sqrt(242) - sqrt(242)) + -5)**2. 9 Simplify (sqrt(8) + sqrt(96)/sqrt(108) + sqrt(8))/(sqrt(48)/(sqrt(24)/sqrt(2))). 7*sqrt(2)/3 Simplify -5*(sqrt(5) + 0) - 2*sqrt(5)*1. -7*sqrt(5) Simplify (-4 + -4 + sqrt(5) + 4)*1. -4 + sqrt(5) Simplify sqrt(85)/(sqrt(5)*-2*-2). sqrt(17)/4 Simplify (sqrt(5000)*-2)/(sqrt(10) - -1*sqrt(1000))*-2. 40*sqrt(5)/11 Simplify -2 + (sqrt(96)*-6)/(2*sqrt(1728)). -2 - sqrt(2)/2 Simplify 3 + (2 + sqrt(243))**2. 36*sqrt(3) + 250 Simplify 2*(-1 + sqrt(153)) + -2. -4 + 6*sqrt(17) Simplify 6*(-1 + sqrt(13))**2 + 2. -12*sqrt(13) + 86 Simplify (sqrt(117)/sqrt(3)*-6)/sqrt(3). -6*sqrt(13) Simplify ((sqrt(180)*1 - sqrt(180)) + 5 + 1)*-3. -18 Simplify (sqrt(1872) - (sqrt(1872) - ((sqrt(1872) + 0 + -4 - sqrt(1872)) + sqrt(1872)))**2) + -4. -20 + 12*sqrt(13) Simplify ((sqrt(588)*-1 + sqrt(588) - sqrt(588)) + sqrt(12) - sqrt(12))/((sqrt(28) - sqrt(252))/sqrt(7)). 7*sqrt(3)/2 Simplify ((2*sqrt(66) + sqrt(66))/sqrt(6))**2 + (sqrt(110)*-2)/sqrt(10). -2*sqrt(11) + 99 Simplify sqrt(119)/(sqrt(7) - sqrt(343))*1. -sqrt(17)/6 Simplify (sqrt(2904)*2)/(-6*sqrt(72)). -11*sqrt(3)/9 Simplify ((2 + sqrt(192)*1 + sqrt(192))*6)**2. 2304*sqrt(3) + 27792 Simplify 4*sqrt(18)/(sqrt(9) + sqrt(225)). 2*sqrt(2)/3 Simplify 3*(1*sqrt(72) + (sqrt(150)/sqrt(3))**2). 18*sqrt(2) + 150 Simplify sqrt(704)*3 - -3*sqrt(704). 48*sqrt(11) Simplify (sqrt(80) - (sqrt(80) - (1 + (sqrt(80) + 0 - sqrt(80) - sqrt(80))))) + -3. -4*sqrt(5) - 2 Simplify (4*sqrt(264)/sqrt(6))/sqrt(4). 4*sqrt(11) Simplify ((sqrt(567) - (sqrt(567) + 1 + sqrt(567))**2) + 2 + sqrt(567) - (-2*(-1 + sqrt(567))**2 - sqrt(567)))*-6. 270*sqrt(7) + 6786 Simplify (3*(sqrt(475)*-1 - (sqrt(19)*2 + -4)))**2. -504*sqrt(19) + 8523 Simplify (3*(-1*sqrt(726))/sqrt(3))**2. 2178 Simplify (-4 + (-1 + sqrt(1008) + sqrt(1008) - sqrt(1008)) - -1*(-1 + sqrt(1008)))**2. -288*sqrt(7) + 4068 Simplify sqrt(1331) - 5*(sqrt(1331) + -4). -44*sqrt(11) + 20 Simplify ((5*sqrt(34)/sqrt(2))**2 + -1*sqrt(17)*3)*2. -6*sqrt(17) + 850 Simplify (0 + sqrt(3) + 1 + sqrt(3))**2*-5. -65 - 20*sqrt(3) Simplify 2*(3 + (2*sqrt(187) + sqrt(187))/sqrt(11)). 6 + 6*sqrt(17) Simplify (2 + sqrt(5))**2 + -1 - (-3*sqrt(30))/sqrt(6). 8 + 7*sqrt(5) Simplify (-2*sqrt(275)/sqrt(5))/((sqrt(90)/sqrt(2))/sqrt(9) - sqrt(5) - sqrt(5)). 2*sqrt(11) Simplify ((sqrt(612) + 1)*-1 + 2 + (sqrt(612) - 1*sqrt(612)))**2 + -3. -12*sqrt(17) + 610 Simplify ((sqrt(228)/sqrt(4))/sqrt(3) - sqrt(19))*4. 0 Simplify (sqrt(1573) - 3*(sqrt(1573) + (sqrt(1573)*3)**2)) + sqrt(1573). -42471 - 11*sqrt(13) Simplify ((2*-2*sqrt(6))/(-3*(sqrt(2) + sqrt(8)/sqrt(4))) + 4)**2. 16*sqrt(3)/3 + 52/3 Simplify (-2*sqrt(171)*-4 - (sqrt(171) - (-1 + sqrt(171))*3))**2. -180*sqrt(19) + 17109 Simplify -5 + (sqrt(13) + sqrt(52)/sqrt(4))*-1 - -6*(sqrt(13) - (sqrt(130) + sqrt(130)*-1)/sqrt(10)). -5 + 4*sqrt(13) Simplify (2 + (sqrt(11) - sqrt(33)/sqrt(3))*-4)**2. 4 Simplify (sqrt(500) - (sqrt(500) - (sqrt(500) + 3 + -2) - sqrt(500)))**2. 40*sqrt(5) + 2001 Simplify -4*sqrt(80) + sqrt(20)/sqrt(4) + -1 + sqrt(5). -14*sqrt(5) - 1 Simplify (sqrt(1152)*-1)**2 + sqrt(18). 3*sqrt(2) + 1152 Simplify (-3*(sqrt(18) - sqrt(72)))/sqrt(6). 3*sqrt(3) Simplify (sqrt(80))**2*-2. -160 Simplify ((sqrt(45) + sqrt(3645)*-1)/(sqrt(36)/sqrt(4)*-3))**2. 320/9 Simplify -1*(3*(sqrt(2) + 1) - sqrt(2)). -3 - 2*sqrt(2) Simplify sqrt(77)/(2*sqrt(11)) + 5*sqrt(21)/sqrt(3) + -4. -4 + 11*sqrt(7)/2 Simplify 4*(sqrt(170)/(sqrt(10) + 6*sqrt(640) + sqrt(640) + sqrt(640)))**2. 68/4225 Simplify sqrt(12)/(sqrt(216) + (sqrt(216) - (sqrt(216)*-2 + sqrt(216)) - sqrt(216)) - sqrt(216)). sqrt(2)/6 Simplify -5 + (-1 + sqrt(405))*-2 + 1. -18*sqrt(5) - 2 Simplify (6*sqrt(17)*2*-2)**2. 9792 Simplify ((2*sqrt(352))/sqrt(2) - (sqrt(11) - (2*sqrt(11) + -1) - (-1 + sqrt(891) + sqrt(891) - sqrt(11))))**2. -104*sqrt(11) + 7440 Simplify sqrt(136)/(3*sqrt(128)). sqrt(17)/12 Simplify -3*(sqrt(5) - sqrt(45)) - (3 + 2*sqrt(5))**2. -29 - 6*sqrt(5) Simplify (sqrt(459)/sqrt(3) - sqrt(17)) + -4 + sqrt(204)/(sqrt(48)/sqrt(4)) + (sqrt(17)*-1)**2 + -3. 10 + 3*sqrt(17) Simplify -2*(-1 + sqrt(1331) + 1*sqrt(1331) + sqrt(1331))**2. -23960 + 132*sqrt(11) Simplify 5*-2*sqrt(2736). -120*sqrt(19) Simplify sqrt(171)/sqrt(2916). sqrt(19)/18 Simplify (sqrt(130) + (sqrt(130) - 2*sqrt(130))*1)/(3*sqrt(10)*-1). 0 Simplify (sqrt(160)/(sqrt(10) - sqrt(90)))/sqrt(8). -sqrt(2)/2 Simplify (-1*sqrt(133)*6)/sqrt(7). -6*sqrt(19) Simplify (((sqrt(77) - (-1*sqrt(77) + sqrt(77)) - sqrt(77))*6)/(1*sqrt(847)))**2. 0 Simplify 1*(sqrt(39) + (sqrt(273)*2)/sqrt(7))/sqrt(3). 3*sqrt(13) Simplify -6*-2*5*(sqrt(1088) + -1)**2. -960*sqrt(17) + 65340 Simplify 3*(-4 + (sqrt(11) + 1 + sqrt(11) + -1 - (sqrt(132)*-2 - sqrt(132))/sqrt(12))). -12 + 15*sqrt(11) Simplify (sqrt(6)/(sqrt(6)/(sqrt(27) + sqrt(3))))**2. 48 Simplify 4*(sqrt(2) + (sqrt(2) - ((sqrt(162) - 2*sqrt(162)) + sqrt(162) - sqrt(162)) - sqrt(2))**2) + (sqrt(18)/(sqrt(18)/(1*sqrt(2))))**2. 4*sqrt(2) + 650 Simplify -1 + (sqrt(27)*-3 - (sqrt(3) - sqrt(9)/(sqrt(12)/sqrt(4) + sqrt(3)))**2). -9*sqrt(3) - 7/4 Simplify (sqrt(98) - ((sqrt(98) + sqrt(98) + -1)*-6)**2) + 4. -14144 + 1015*sqrt(2) Simplify (sqrt(98) + 1)*-6. -42*sqrt(2) - 6 Simplify (sqrt(2016)*1)/sqrt(8) + -2 + (sqrt(7) + sqrt(112) + sqrt(7))*-1. -2 Simplify ((sqrt(104) - -3*(sqrt(104) - sqrt(104)*-2)) + sqrt(104))/sqrt(8). 11*sqrt(13) Simplify sqrt(11) - sqrt(88)/sqrt(2) - (0 + sqrt(11) + sqrt(11) + 5) - (((0 + sqrt(11))*-5)**2 + sqrt(11) + 1 + -4). -277 - 4*sqrt(11) Simplify 5*sqrt(22)/sqrt(2)*5 + ((1*sqrt(11) + sqrt(11))**2*1 - (sqrt(11) + 1)*2). 42 + 23*sqrt(11) Simplify ((sqrt(99) + (sqrt(99)*-1 - sqrt(99) - sqrt(99) - sqrt(99)))*3)/(sqrt(441)*1). -9*sqrt(11)/7 Simplify sqrt(567) - (sqrt(567) + 1) - (sqrt(7) + 4 + sqrt(7)*2). -3*sqrt(7) - 5 Simplify (1 + (6*sqrt(51)/sqrt(3) - (sqrt(17) + 0 + 1 + sqrt(17))))**2. 272 Simplify -4*sqrt(44)/((sqrt(80)/sqrt(2))/sqrt(10) + sqrt(4))*-4. 8*sqrt(11) Simplify (-1*sqrt(220))/sqrt(11) - sqrt(120)/sqrt(96). -5*sqrt(5)/2 Simplify -4*((sqrt(63)*-3)**2 + 6*(sqrt(7)*-1)**2). -2436 Simplify (sqrt(70) - ((sqrt(70) - (sqrt(70) + ((sqrt(70) + -1*sqrt(70))*-6 - sqrt(70)) - sqrt(70))) + sqrt(70)))/(-3*sqrt(30)/sqrt(3)). 2*sqrt(7)/3 Simplify sqrt(132)/((sqrt(108)*1 - sqrt(108) - sqrt(108))/sqrt(9)). -sqrt(11) Simplify (sqrt(1008) + (sqrt(1008) + sqrt(1008) + 4)**2 - sqrt(7)) + -1. 203*sqrt(7) + 4047 Simplify (-5 + -3*sqrt(10)/sqrt(2))**2. 30*sqrt(5) + 70 Simplify 5 + -5*sqrt(200) - sqrt(200). -60*sqrt(2) + 5 Simplify sqrt(77)/(-1*sqrt(1008)). -sqrt(11)/12 Simplify sqrt(14)/sqrt(32) + -6*(-2 + sqrt(7))**2. -66 + 97*sqrt(7)/4 Simplify -3 + sqrt(90)/sqrt(5) + 1 + 5. 3 + 3*sqrt(2) Simplify (sqrt(168)/(-4*sqrt(8) + sqrt(8)) + sqrt(21))/sqrt(7). 2*sqrt(3)/3 Simplify (sqrt(33) - (sqrt(2112) + sqrt(2112) + (-2*sqrt(2112) - sqrt(2112))))/(sqrt(176) + 1*sqrt(176) - sqrt(176)). 9*sqrt(3)/4 Simplify 3*(-1 + sqrt(76)). -3 + 6*sqrt(19) Simplify (4*(sqrt(102) + sqrt(102)*-1 + sqrt(102)))/sqrt(6). 4*sqrt(17) Simplify (sqrt(3888)*-1 + sqrt(3888))/(
{ "pile_set_name": "DM Mathematics" }
12 - 2 = j, -3*j - l + 23 = 0. Suppose 0*w - w = -j. Is 11 a factor of d(w)? True Let p = -13 + 8. Let i be (-2)/p + 92/20. Suppose 0 = 3*u - 2*u - i. Does 3 divide u? False Suppose c = -3*c - 280. Let h = -50 - c. Suppose -2*p - h = -7*p. Is p even? True Let f(l) = 12*l - 1 + 20*l - 3*l - 2*l. Let o be f(-1). Let z = o - -58. Is 15 a factor of z? True Suppose -p = 1, -5*l + 314 = 2*p - p. Does 2 divide ((-1)/3)/((-3)/l)? False Suppose 3*x - 100 - 65 = 0. Let u = -30 + x. Is 21 a factor of u? False Is 17 a factor of (-1)/((-2)/306*3)? True Let o be (6/(-9))/((-4)/102). Let m = o + -11. Is m a multiple of 5? False Suppose 3 - 15 = 4*m, 0 = -2*c + 3*m - 135. Let k = c + 153. Does 27 divide k? True Let m be (-2)/6 - 56/3. Let q = 20 + -54. Let b = m - q. Is 15 a factor of b? True Suppose -2*q + p + 2*p + 22 = 0, -5*p = q - 24. Does 3 divide q? False Let p be (-7)/(-3) + (-2)/(-3). Suppose 0*k = -2*k - 8, 5*k = p*l - 104. Is 14 a factor of l? True Let n = 12 + 3. Is 5 a factor of n? True Let o = -129 - -188. Does 7 divide o? False Let y be ((-3)/(-4))/((-6)/(-1848)). Does 6 divide 8/(-6)*y/(-14)? False Suppose -3*b - 63 = 27. Let c be b/3*(-2)/4. Suppose -80 = -4*o - 3*k, -4*k + c*k = 0. Is 17 a factor of o? False Suppose 2*i - 30 = i - r, 4*r = 2*i - 30. Suppose 0*n - n + i = 0. Is 8 a factor of n? False Suppose 0 = -3*a - 2*a - 10. Does 23 divide 0/(1 + a) - -23? True Let h = -4 + 4. Suppose 0 = -h*j - j. Suppose -2*m - m + 9 = j. Is m a multiple of 3? True Let d(q) = q**2 - q + 7. Let j be d(0). Let v(m) = m - 5. Let y be v(j). Suppose -y*c = 5*k - 75, -4*c + 0*c - 6 = -2*k. Does 13 divide k? True Let t be (-3)/((5 + -4)/(-4)). Let a = -5 + t. Does 3 divide a? False Suppose 2*u - 4 + 0 = 0. Suppose -s + u + 4 = -5*t, -4*t - 42 = -2*s. Let g = s + -14. Is 6 a factor of g? False Is 7 a factor of -4 + 1 + -2 + 3 - -16? True Let d = -10 - -18. Let i(a) = 3*a**2 - 2*a**2 - 5*a - d + a. Is 19 a factor of i(-6)? False Let g = -25 + 216. Suppose g = 5*j + y, -j + 5*y - 58 = -3*j. Is 13 a factor of j? True Suppose 2*t - 4*l - 80 = -5*l, -92 = -2*t + 2*l. Is 14 a factor of t? True Suppose 4*z - 3*z = -2. Let b(r) = 6*r**2 - 3*r - 3. Let i be b(3). Is (i/(-15))/(z/20) a multiple of 14? True Let z(m) = -8*m**2 + 2*m - 3. Let u be z(2). Let r = u - -65. Suppose 3*j - l = 128, 234 - r = 5*j + l. Is j a multiple of 17? False Let f(m) = -m**2 - 7*m - 1. Does 6 divide f(-5)? False Let u = 168 + -58. Does 10 divide u? True Suppose 4 = 3*c - 17. Let u = -3 + c. Suppose -u*h + 48 = -28. Is 9 a factor of h? False Suppose -8 = -4*p, -4*u + 3*p + 8 + 18 = 0. Suppose 3*r - 3*h + u = 5*r, 16 = 2*r - h. Suppose -3*b = -2*b - r. Does 3 divide b? False Let s be (14/4 - -1)*6. Let f = 73 - s. Is 13 a factor of f? False Let g(x) = 28*x - 1. Does 20 divide g(2)? False Is (-15)/((-3)/6 - 1) a multiple of 2? True Suppose -3*i + 3*b - 12 - 18 = 0, i + 14 = 3*b. Let l(p) = -10*p - 10. Is l(i) a multiple of 35? True Let v(l) = 2*l**2 + 10*l**2 - 5*l + 6*l. Suppose -2*y = -6*y - 4. Is v(y) a multiple of 11? True Suppose 2*p + 101 - 13 = 5*b, 0 = 2*b - p - 35. Suppose -2*o = o - b. Is 3/o*22/1 a multiple of 11? True Let s(x) be the second derivative of 13*x**3/6 - x. Suppose -5*t = 10 - 15. Is s(t) a multiple of 6? False Let o(s) = s**3 - 5*s**2 + s + 1. Let f be o(5). Suppose -2*q - f = -5*q. Is q a multiple of 2? True Let h(l) be the second derivative of 2*l**3/3 + l. Let w be h(-1). Is 9 a factor of 195/21 - w/(-14)? True Suppose -5*h - 2*v - 9 = 0, v = -h + 4*h + 1. Does 13 divide ((-330)/5)/(h*2)? False Let m(u) = -3*u**2 + 4*u**2 + 0*u**2 - 7 - 5*u. Let x be m(7). Suppose 49 + x = 4*r. Does 14 divide r? True Suppose 0 = -0*b - 2*b - 2. Is 8 a factor of -18*(-1 - b/(-3))? True Suppose -11 = -3*r + 7. Does 16 divide r/(-9)*177/(-2)? False Suppose 2*v - 40 = -2*t, 14 = 5*t - 1. Suppose v = -3*w + 2*w. Is 6 a factor of w*(-2 + (3 - 2))? False Let t = 105 - 209. Is t/(-10)*30/12 a multiple of 12? False Suppose -5*a - 5*x + 501 = -3*x, 3*a = 4*x + 285. Is a a multiple of 33? True Let s(g) = 10*g**2 + 13 + 2 + g**3 + 3*g - 5. Let z be s(-10). Let t = z + 32. Is 6 a factor of t? True Let m(b) = -b - 9. Suppose 3*w + 40 - 13 = 0. Let n be m(w). Suppose n = -2*d + 6*d - 112. Does 14 divide d? True Suppose -2*x + 2*c = 3*c - 86, 0 = -3*x - c + 129. Let k = x - 24. Does 19 divide k? True Suppose v = -0*v + 32. Let o = -1 + v. Is o a multiple of 13? False Let l(s) = 15*s + 7. Let v(b) = 7*b + 3. Let q(j) = 2*l(j) - 5*v(j). Let w(r) = 21*r + 3. Let z(m) = -9*q(m) - 2*w(m). Is z(5) a multiple of 5? False Let o = 66 - 141. Let u = o + 105. Is 15 a factor of u? True Let u(x) = x + 16. Let j(n) = -4*n - 65. Let q(s) = 2*j(s) + 9*u(s). Is q(10) a multiple of 9? False Suppose 8 = 9*o - 8*o. Does 4 divide o? True Let p = 140 + -4. Suppose -p = -2*y - 2*y. Is 16 a factor of y? False Let j = 1 - -1. Let a = 0 + j. Suppose -x - 11 = -a*x. Does 11 divide x? True Let i = 11 + -7. Is 8 a factor of i*3 - (3 - 0)? False Let t(x) = 8*x - 1. Let h(v) = v**2 + 4*v. Let r be h(-3). Let m = r + 7. Is t(m) a multiple of 13? False Suppose k - m = 1 + 5, -5*m - 27 = -4*k. Suppose 9 - 81 = -k*q. Is q a multiple of 8? True Let h(t) = -t**3 - 14*t**2 - 5*t - 10. Is h(-14) a multiple of 15? True Let s = 6 - 13. Let g = 4 - -12. Let u = g + s. Does 6 divide u? False Let a(r) = -28*r**3 - 4*r**2 - 3. Is 41 a factor of a(-2)? True Suppose 4 = 5*b - b. Suppose u - b = -2. Let x(n) = -14*n**3 - n**2 + 1. Is x(u) a multiple of 14? True Suppose -q + 84 = 6*q. Is 2 a factor of q? True Let j(i) = 3*i**2 - 7*i + 6. Suppose 2*k + 20 = 7*k. Is 9 a factor of j(k)? False Suppose 2*t - f - 156 = -5*f, 0 = 2*f + 10. Is t a multiple of 11? True Suppose -z + 168 = 6*z. Is z a multiple of 18? False Let x be (155 - -1)/4 + 0. Let b = x + 23. Is b a multiple of 13? False Let y be 2 - (2 + -3 + -10). Let k = 11 - 17. Let u = y + k. Is 6 a factor of u? False Let o be -3*2*1 + 1. Let g(w) = -w**3 - w**2 + 8*w - 4. Does 10 divide g(o)? False Let f = -6 + 48. Is 13 a factor of 2052/f + (-1)/(-7)? False Let s = -23 - -45. Is 22 a factor of s? True Let f(z) = -z**3 + 11*z**2 + z - 11. Let u be f(11). Suppose d + 2*d - 54 = u. Does 11 divide d? False Suppose t + 9 = -0*t. Suppose -2*n + 938 = -5*s, 4*s - 2*n + 247 = -503. Is 5 a factor of s/(-36) + 2/t? True Let z(m) = 2*m + 12. Let o be z(9). Let v = o + 64. Suppose 3*w - 235 + v = -4*k, 3*w + 147 = 4*k. Is 11 a factor of k? False Suppose -9*o + 4*o = -165. Does 7 divide o? False Let s = 107 - 37. Is s a multiple of 14? True Suppose -2*a + 63 = a. Let b = -1 - -3. Suppose 2*k - 3*h = -6*h + a, -b*h + 58 = 5*k. Is 12 a factor of k? True Let r be 1/((6/75)/2). Let q = r - 9. Is 8 a factor of q? True Let i be (-14)/(-6) + (-4)/12. Suppose -f + 438 = i*f. Let x = -96 + f. Does 16 divide x? False Let d(h) be the third derivative of -h**6/20 + h**5/20 + h**4/24 + h**3/6 - 4*h**2. Is d(-2) a multiple of 24? False Let c = -9 - -12. Suppose t - c - 6 = 0. Does 9 divide t? True Let g be ((-4)/6)/((-6)/90). Suppose -3*b + g = -275. Does 24 divide b? False Let r = 1 - -4. Suppose r*i = -0*i - 2*s + 4, -i - 2*s = -4. Suppose 4 = n + 2*w, i*w = -4*n - 3*w + 36. Does 10 divide n? False Let o = 45 - 33. Is o even? True Let c(f) = 3*f**3 + 5*f**2 - 5*f + 1. Let y(p) = -13*p**3 - 21*p**2 + 19*p - 5. Let k(t) = -9*c(t) - 2*y(t). Is 8 a factor of k(-5)? True Suppose 0 = -15*o + 531 + 369. Is 10 a factor of o? True Let z(r) be the third derivative of r**8/5040 + r**7/5040 - r**6/360 + r**5/60 + 3*r**2. Let a(u) be the third derivative of z(u). Is a(-2) a multiple of 5? False Let c(a) = a. Let g(p) = -2*p**2 + 26*p + 12. Let x(w) = -w**2 + 13*w + 6. Let d(z) = -6*g(z) + 11*x(z). Let k(v) = 6*c(v) + d(v). Is k(9) a multiple of 4? True Does 21 divide (1 + 1)*(-210)/(-20)? True Is (-13)/((-130)/804) + (-8)/20 a multiple of 14? False Let f be (-1 + 3)/((-8)/20). Does 4 divide (f - (-2 + 1))/(-1)? True Is (20/(-60))/(1/(-54)) a multiple of 9? True Let i(x) = 2*x**3 + 2*x**2 + x + 1. Let a(w) = -w**3 + 1. Let o(q) = -a(q) - i(q). Let r be o(-3). Let j = r - -45. Does 20 divide j? False Suppose m - 5*w - 42 = 0, w + 3 = -5*m + 109. Does 3 divide m? False Let i be 6 + (3 + -3 - 2). Suppose 0 = i*t - 2 + 6. Let o = 14
{ "pile_set_name": "DM Mathematics" }
458/65) Simplify ((q**(1/20)*q*q**18)/((q/((q*q**(-7/8))/q))/(q*q/(q*q**(-1/2)))))**8 assuming q is positive. q**(747/5) Simplify p*p*p**(-21/2)*p*p/((p*p*(p**(-1/83)*p)/p)/p)*p*(p*p**(2/29))/(p*p*p/(p*p**(-25/4))*p) assuming p is positive. p**(-141233/9628) Simplify ((h/(h*h/h**(-1)))/h*h*h/(h/((((h**(4/3)*h)/h*h)/h)/h)))/(h/h**(-2/7)*h**0)*(h/(h/(h**(-12)/h))*(h/(h**(1/6)*h))/h)**(8/11) assuming h is positive. h**(-3062/231) Simplify (m**7/(m**(-2/19)*m))**(-10/7)*(m*m**0)**(1/22)/(m**(2/7)/m**(-3/7)) assuming m is positive. m**(-27477/2926) Simplify ((a*a*(a**(-1/4)*a*a)/a)**(13/7))**(-43)*(a*a**(-2/23)/a*a)/a**1*(a/(a*a**(-1/3)/a*a)*a)**18 assuming a is positive. a**(-126027/644) Simplify ((x/(x*x/(x/x**(-1)))*x)**(2/27)/((x/((x**(-1)/x*x*x)/x)*x)/(x/x**1)))/(x**(4/5)*x/(x*x**(-3)/x)*(x*x/x**(1/2))/(x/x**6)) assuming x is positive. x**(-3821/270) Simplify (z**1*z**(-7))**(-7/5)*(z/(z*z**(-2)/z*z))**45/((z*z**(1/4)*z*z)/z**7) assuming z is positive. z**(2043/20) Simplify (((t**(-1/4)*t)/t)**(-5/4))**(-39)*(t**3/t**(1/4))**(17/3) assuming t is positive. t**(163/48) Simplify ((((t/(t/t**(-2/11)))/(t*t/(t/t**(-3/2))))**(1/4))**(-4/15))**(-1/11) assuming t is positive. t**(7/3630) Simplify ((u*u**(-7)/u)**(-11)*(u**10)**36)**44 assuming u is positive. u**19228 Simplify (((u**(-2/7))**(2/25)/(u**6/(u/(u/u**(2/15)*u))))**14)**33 assuming u is positive. u**(-79574/25) Simplify (p**1)**(3/13)*(p**(-1))**(-4/7)*(p*p**(-2/7)*(p*(p**(-3)/p)/p*p*p)/p)/((p**(-2/3)*p)/p)**(-48) assuming p is positive. p**(-3047/91) Simplify ((a*a**9/a)**(-3/22)/(a**21*(a/(a*a**(-11)*a))/a))**(-6/11) assuming a is positive. a**(2061/121) Simplify (((x/(x**(2/13)*x*x*x)*x)/(x**(6/5)*x))/((x*x*x**(-2/7))/x**(-2/15)))/((x/(x**(1/10)/x))/(x/x**(-1/4))*x**(-3)*x/x**3) assuming x is positive. x**(-4649/5460) Simplify ((f**2)**(-27))**(-4/3)/(((f**0/f)/((f/f**(2/27))/f))/(f**(-2/5))**(-3/5)) assuming f is positive. f**(49387/675) Simplify (c**(4/5)/c*(c*c/(c**(2/39)/c))/c)/(c/(c**(-11)*c)*c/(c*(c*c/(c/(c*c**(23/4)/c)))/c)) assuming c is positive. c**(-2731/780) Simplify (s**(-2)*s)**49/(s**1*s*s**(-3/8))*((s/s**(-5))/(s*(s*s/(s/(s*s**6*s)*s))/s))**(-38) assuming s is positive. s**(203/8) Simplify ((j/(j*j**(2/3)))**23/(j/(j/(j**(-2)*j*j))*j**(-9)))**(-24) assuming j is positive. j**152 Simplify (b**(2/11)/(b*b**(-1/3)*b*b*b))**(-2/121)*(b**3/(b*b*b/(((b**(-6)/b)/b*b*b)/b)*b*b*b))/(b*b**(-3)*b*b*(b/((b**(-4)/b)/b))/b) assuming b is positive. b**(-63658/3993) Simplify ((i*(i**(-2)/i)/i*i)**(17/2))**(-1/5)*((i/i**(-1))**(2/45))**(-1/35) assuming i is positive. i**(5351/1575) Simplify ((t**(4/5)*t**(3/5))/(t**5/(t*t**2)))/((t/t**(1/4))**(-39))**4 assuming t is positive. t**(582/5) Simplify c**(2/7)*c**2*c*c**(-2/9)*c**(-3)/c*(c/c**(-4)*c/((c**(-1/2)/c)/c)*c)**(2/43) assuming c is positive. c**(-1340/2709) Simplify ((((((p**(3/4)/p*p)/p)/p)/p)/p**(-2/15))/((p/((p**(1/2)*p*p)/p))/p)**(14/11))/((p*p*p**(-13))/p*p**9)**(-20) assuming p is positive. p**(-39737/660) Simplify y**(-1/6)*(y**(-1/5)*y)/y*(y/(y**9/y))/y*y**(-9/2)*((y/(y/((y/(y**(8/3)*y*y))/y)*y*y))/(y*y**(4/5)))/(y**(-2/19)/y**8) assuming y is positive. y**(-754/57) Simplify (b**(-1/3))**(1/3)*b**(1/11)/(b**(-6)/b)*(b**0*b/b**13)**(1/12) assuming b is positive. b**(592/99) Simplify ((s**(-2/3)*s**(-2/7))/(s*s**(1/4))**(9/5))/((s**4/s*(s*s/s**(-3/7)*s)/s)/((s/s**(-5)*s)/s**(-2/7))) assuming s is positive. s**(-113/84) Simplify ((r/(r/((r*r/r**(-1/6)*r)/r)))**(-2/77))**(7/4)/((r**(-1/3)*r)**(-1/86)*r**(-2/13)/r**(-5/2)) assuming r is positive. r**(-179813/73788) Simplify (((g**(-10)/(g/g**(2/19)))/((g/(g/(g/(((g*g*(g/(g*g**(-11)*g*g*g))/g)/g)/g))))/(g/g**(1/2)*g)))**44)**(11/7) assuming g is positive. g**(-31218/133) Simplify (((((u/(u*(u*u**(-2/11)/u)/u))/u)/u)/u)/(u/(u/u**(2/11)*u)*u))/(u**(2/7)*u**(1/2))*(u/u**(2/11))/u**(2/21)*u**6*u**1/u*u assuming u is positive. u**(2281/462) Simplify ((i/(i/((i/i**(-3))/i*i))*i*i)/(i*i**(-15)*i*i*i)*(i**1*i)/i*(i/i**(2/17))/i)**33 assuming i is positive. i**(10032/17) Simplify s**17*s*s*s*((s/s**41)/s*s)/s*((s*s**(-33)*s)/s)/(s*s**(1/3)) assuming s is positive. s**(-163/3) Simplify (c**6/c**(2/13))**(-42)*c*c**5*c**6*((c**(-1)*c)/c*c*c)/((c*c/c**(3/4))/c) assuming c is positive. c**(-12105/52) Simplify ((l**(-9)/((l*l**(-30)/l*l)/l*l))**(2/41))**(-39) assuming l is positive. l**(-1560/41) Simplify ((f/(f**(-21)*f))/(f**24/f)*(f**(6/11))**(10/11))**2 assuming f is positive. f**(-364/121) Simplify ((g**(-11)/g*g)/(g**(-10)/g))**(4/33)/((g**(2/13))**(4/3))**22 assuming g is positive. g**(-176/39) Simplify (q**(-1/8)*q**4)**27/((q**(1/3))**(17/5))**(2/89) assuming q is positive. q**(1117123/10680) Simplify ((h**(-1)*h)**(-6)*(h/h**(-1/3)*h)/(h**3*h*h))/((h*h/h**(5/6)*h**6)/((h/((h**(-5)/h)/h))/h*h**(2/3))) assuming h is positive. h**(-13/6) Simplify (((((i/(i/(i/((i*i**3*i)/i*i)*i)*i))/i)/i)/(i/(i*i**8)))/(i**(-2)/i)**(2/19))/(((i*i/i**(2/29))/(i/i**(4/5)))/(i**2)**37) assuming i is positive. i**(205481/2755) Simplify ((((y*y*y**(-6))/y)/(y**(-4)*y))/((y*y*y**(-2/7)/y)/(y**6/y)))/((y**(-1))**(-15)*(y**(-1/3))**(16/5)) assuming y is positive. y**(-1223/105) Simplify ((y**(-2/5)/y*y**(-1/5))/(y**(-2/9)*((((y/y**(-3))/y)/y)/y)/y))/((y*y**(-1/4)/y*y**(1/7)/y)/(y**(-2/7)/y**(4/7))) assuming y is positive. y**(-203/180) Simplify (f**(-2/47)/(f**(1/3)*f)*(f**(-5/6)*f)**26)**(2/9) assuming f is positive. f**(278/423) Simplify v*(((v/v**(-1/7))/v)/v)/v*v*v**(-5/12)*(v*v*v**43)**(-7/3) assuming v is positive. v**(-8843/84) Simplify ((v*v**5)/((v/(v*v**10))/v)*v*v/v**(2/57)*v**(-2/5))**(-5/6) assuming v is positive. v**(-5291/342) Simplify ((((c*c/((c/(c/(c/(c**3*c))*c))/c))/c)/c)**(9/8)/((c**(10/3)/c)/c)**(6/23))**(-9) assuming c is positive. c**(-8739/184) Simplify (s**(1/2)*s*s)**(2/67)*(s**1*s)**(4/5)*s**(2/19)*s**(-8)*s**(2/7)*s/((s/(s/(s**(-9)*s)))/s) assuming s is positive. s**(181143/44555) Simplify (q**(-21)*q/(q**(-4/5)*q))/(q**(2/45)*q*q/(q**(1/20)/q)) assuming q is positive. q**(-835/36) Simplify ((u/(u/(u/u**0)))**16)**(-6/31)/((u/u**(-4/3)*u/(u**(2/13)*u))/(u/(u/u**(-2))*u**(1/5)/u)) assuming u is positive. u**(-48821/6045) Simplify ((m/(m/m**(-2/17)))/((m*m**(4/5)*m)/m*m))**(-1/50)/((m**(3/2)*m*m/m**(7/4))/(m**(-1/4))**39) assuming m is positive. m**(-48627/4250) Simplify (g**4/g*g*g/(g*g**(2/27))*g**(1/9)/(g*g/(g*g*g*g/(((g*g**(-1/20)*g)/g)/g)*g*g)*g))**(1/8) assuming g is positive. g**(3827/4320) Simplify (b/b**8*b**(-6/11))**(-47)/((b**(-2/3))**(-2/45)*(b*b*(b*b**(2/9))/b)/(b*b/b**(5/2))) assuming b is positive. b**(1045097/2970) Simplify ((h*((h*h**(4/9))/h)/h)**(-2/3)*(h/((h/(h/(h/(h**(9/5)/h)*h)))/h))/h**(1/6))**(-24) assuming h is positive. h**(-364/45) Simplify ((t*t**(1/28)*(t*((t/(t*t*(t**(-33)/t)/t*t))/t*t)/t*t)/t)**(-26))**(-15/2) assuming t is positive. t**(185835/28) Simplify (v/((v**9/v)/v)*v**(-3/2)*v*v*v*v**(1/5)*v*v**(1/10)/v)**(-17/2) assuming v is positive. v**(357/10) Simplify (f/f**0*f)**(-1)*f**(-3/4)*f*f**(4/7)/f*((f*f/((f/(((f**(-1)*f)/f)/f))/f)*f)**(2/17))**(-2/13) assuming f is positive. f**(-13593/6188) Simplify ((q**0)**(-49))**(-2/47)/(((q/((q**(-4/9)/q)/q)*q)/(q/q**(2/3)))/(q*q**(2/5))**(-11/5)) assuming q is positive. q**(-1618/225) Simplify ((i/(i*i/i**(-1)))**(-5/2)*i**(-6)/((i**(-1/4)/i)/i))/((i*i**(-1/3))**(-36/11)*i**(-2)*((i/(i*(i**(-2/11)*i)/i*i*i*i)*i)/i)/i) assuming i is positive. i**(37/4) Simplify ((p*p/p**(1/3)*p**(-4/9))/((p*p**(-2/3))/(p/p**(2/7))))/(p**(1/4)/(p**(-1/9)/p)*p**(-2/23)*p*(p**(-3)/p)/p*p) assuming p is positive. p**(19295/5796) Simplify (p**1*p)**(-3/44)*p/(p*((p/p**(-5))/p)/p)*p*p**(-8)/p*((p**(2/7))**(-4))**(2/33) assuming p is positive. p**(-5639/462) Simplify (o**3/o**0)**(23/4)*((o/(o**(-1/6)*o*o*o*o)*o)/(o*o*o**(-13)))**(-2/93) assuming o is positive. o**(19031/1116) Simplify ((m**(-25/4)/m**(-4))/(m**(-6/23)*m**(6/23)))**(2/69) assuming m is positive. m**(-3/46) Simplify (((g*g**(-38)*g)/g*g/g**(-3/14))/((g/((((g*g*g**11*g*g)/g)/g)/g*g*g))/g)**(-34))**(-19) assuming g is positive. g**(136135/14) Simplify (t**(-2/7)/(t/((t*t**(-3/7))/t)))**(-9/2)/(t**(-3)/t**(-1/2)*(t/((t/(t/t**(-1/4)))/t))/t**(3/7)) assuming t is positive. t**(235/28) Simplify ((y/(y/y**2))**30)**31*(y**(-1))**12*y**(-7)*y*y/(y**(2/7)/y)*y assuming y
{ "pile_set_name": "DM Mathematics" }
275305)**2 Factor 3*m**2 + 1167846*m. 3*m*(m + 389282) What is f in f**5/3 + 233*f**4/3 + 4781*f**3 + 259075*f**2/3 - 273652*f/3 = 0? -148, -43, 0, 1 Let 2*n**4/11 + 56*n**3/11 + 514*n**2/11 + 1756*n/11 + 1872/11 = 0. What is n? -13, -9, -4, -2 Factor 4*g**2 - 384924*g - 2694664. 4*(g - 96238)*(g + 7) Determine x, given that -4*x**4/3 - 60*x**3 + 2060*x**2/3 + 6300*x - 20776/3 = 0. -53, -7, 1, 14 Factor 4*x**4 + 7464*x**3 + 3474468*x**2 - 7001264*x - 10468272. 4*(x - 3)*(x + 1)*(x + 934)**2 Let 1571*z**2/3 + 3136*z/3 - 4 = 0. What is z? -2, 6/1571 Suppose g**5/8 - 11*g**4 + 285*g**3/4 - 53*g**2/2 - 2491*g/8 - 405/2 = 0. Calculate g. -1, 4, 5, 81 Factor i**4/5 + 1348*i**3/5 + 451572*i**2/5 - 1822496*i/5 + 1827904/5. (i - 2)**2*(i + 676)**2/5 Factor -2*k**4 + 80*k**3 + 1014*k**2 - 308*k - 19600. -2*(k - 50)*(k - 4)*(k + 7)**2 Factor -4*k**3 - 19260*k**2 + 38548*k + 57804. -4*(k - 3)*(k + 1)*(k + 4817) Solve -5*b**2 - 5112820*b - 1307046417620 = 0 for b. -511282 Factor -h**3/4 - 132*h**2 - 13824*h + 995328. -(h - 48)*(h + 288)**2/4 Find d such that -2*d**3 - 394*d**2 - 4462*d - 4070 = 0. -185, -11, -1 Find j such that -3*j**4 + 174*j**3 - 2313*j**2 + 9366*j - 10824 = 0. 2, 4, 11, 41 Factor 3*m**2 - 40401*m + 282660. 3*(m - 13460)*(m - 7) Suppose 5*d**5 - 3955*d**4 + 833735*d**3 - 20445485*d**2 + 142921480*d - 123305780 = 0. Calculate d. 1, 13, 382 What is q in 5*q**5 + 2240*q**4 + 265930*q**3 + 3341620*q**2 + 4866225*q - 8476020 = 0? -217, -12, -3, 1 Let -2*r**5 + 190*r**4 + 8602*r**3 + 66754*r**2 - 263264*r + 187720 = 0. Calculate r. -19, 1, 2, 130 Determine o so that -o**4/8 + 25*o**3/4 + 1287*o**2/8 - 1071*o/2 = 0. -21, 0, 3, 68 Let -196*o**4 - 3976*o**3 + 10272*o**2 + 56960*o - 140800 = 0. What is o? -22, -4, 20/7 Solve -r**2/8 + 8*r - 735/8 = 0. 15, 49 Factor 2*v**4/9 - 6560*v**3/9 - 6572*v**2 - 19728*v - 19734. 2*(v - 3289)*(v + 3)**3/9 Factor -w**4/6 - w**3/3 + 6*w**2 + 12*w. -w*(w - 6)*(w + 2)*(w + 6)/6 Solve -4*k**3/7 - 7778*k**2/7 - 19424*k/7 - 7768/7 = 0. -1942, -2, -1/2 Factor -t**5 + 4*t**4 + t**3 - 4*t**2. -t**2*(t - 4)*(t - 1)*(t + 1) Find c such that 3*c**4/5 - 30996*c**3/5 - 93006*c**2/5 - 93012*c/5 - 6201 = 0. -1, 10335 Find r such that 2*r**4/3 - 2506*r**3/15 + 18974*r**2/3 + 13286*r/5 - 19176/5 = 0. -1, 3/5, 47, 204 Factor -4*m**2 - 264*m + 6880. -4*(m - 20)*(m + 86) Factor -3*m**2 + 116352*m - 1128148992. -3*(m - 19392)**2 Suppose -2*j**2/11 - 28174*j/11 - 28172/11 = 0. Calculate j. -14086, -1 What is d in -5*d**3 - 114615*d**2 + 458520*d - 458540 = 0? -22927, 2 Find h, given that 4*h**2/3 - 406016*h/3 + 10303062016/3 = 0. 50752 Factor -3*i**5/4 + 1044*i**4 - 1449063*i**3/4 - 1457427*i**2/2. -3*i**2*(i - 697)**2*(i + 2)/4 Determine h, given that 3*h**5 - 2256*h**4 - 69909*h**3 - 371382*h**2 + 2396388*h - 2711976 = 0. -17, 2, 782 Let 6832*d**5/3 + 73537*d**4 + 275386*d**3/3 + 20639*d**2 + 310*d/3 = 0. What is d? -31, -1, -2/7, -5/976, 0 Solve -3*x**2/4 - 2025*x - 56553/4 = 0 for x. -2693, -7 Determine l so that -2*l**2/3 + 296*l/3 + 298/3 = 0. -1, 149 Find w such that 92*w**4 + 16860*w**3 + 70264*w**2 + 17184*w = 0. -179, -4, -6/23, 0 Factor 35*s**3 + 790*s**2 - 365*s - 460. 5*(s - 1)*(s + 23)*(7*s + 4) Determine x so that x**3/5 + 44*x**2/5 - 12*x - 2880 = 0. -30, 16 Factor -2*c**3 - 218*c**2 - 710*c + 332706. -2*(c - 33)*(c + 71)**2 What is s in -725*s**2 - 860*s + 460 = 0? -46/29, 2/5 Factor 2*a**2 + 46*a. 2*a*(a + 23) Factor 2120*t**2 - 5092*t - 2376. 4*(5*t + 2)*(106*t - 297) Factor -2*b**2/13 + 7664*b/13 + 69138/13. -2*(b - 3841)*(b + 9)/13 Factor 4*w**2 - 2532*w + 110168. 4*(w - 586)*(w - 47) Find i, given that i**3 - 4063*i**2 + 24347*i - 20285 = 0. 1, 5, 4057 Suppose -q**2 - 1417*q - 26562 = 0. Calculate q. -1398, -19 Find r, given that -4*r**5/3 + 160*r**4 + 7316*r**3/3 + 8416*r**2 - 7312*r/3 - 8576 = 0. -8, -6, -1, 1, 134 Let -10*w**5 - 15610*w**4 - 585145*w**3/2 + 628105*w**2 - 801735*w/2 + 80955 = 0. What is w? -1542, -21, 1/2, 1 Find p, given that -2*p**4/9 - 166*p**3/9 + 1184*p**2 - 12672*p - 49152 = 0. -128, -3, 24 Factor -3*w**3 - 531*w**2 + 4395*w - 8325. -3*(w - 5)*(w - 3)*(w + 185) Factor 22*p**3/7 + 34404*p**2/7 - 6256*p/7. 2*p*(p + 1564)*(11*p - 2)/7 Factor -2*u**3 - 338*u**2 - 12988*u - 24640. -2*(u + 2)*(u + 55)*(u + 112) Let 7*s**3/2 + 13849*s**2/6 - 12887*s/3 + 1984 = 0. What is s? -1984/3, 6/7, 1 Factor -5*n**2 - 385*n - 380. -5*(n + 1)*(n + 76) Determine z, given that -2*z**5/3 + 364*z**4/3 - 1226*z**3 - 14356*z**2/3 - 1480*z/3 + 6384 = 0. -2, 1, 14, 171 Suppose -3*r**5/7 + 12*r**4/7 + 111*r**3/7 - 120*r**2/7 = 0. Calculate r. -5, 0, 1, 8 Determine k so that k**5/5 + 58*k**4/5 + 723*k**3/5 + 3514*k**2/5 + 6976*k/5 + 4128/5 = 0. -43, -6, -4, -1 Solve 10*g**4 - 135*g**3 - 1825*g**2 + 5250*g = 0 for g. -10, 0, 5/2, 21 Suppose y**5/2 - 3*y**4/2 - 37*y**3/2 - 33*y**2/2 + 36*y = 0. Calculate y. -3, 0, 1, 8 Factor 2*h**2/13 + 744*h/13 + 67942/13. 2*(h + 161)*(h + 211)/13 Suppose 4*h**5/9 - 227*h**4/3 - 765*h**3 - 2679*h**2 - 3771*h - 1620 = 0. What is h? -3, -3/4, 180 Suppose -3*u**5/4 - 1347*u**4/4 + 5469*u**3/4 + 14967*u**2/4 + 4077*u/2 = 0. Calculate u. -453, -1, 0, 6 Suppose 2*z**5/7 - 1242*z**4/7 + 192194*z**3/7 + 27990*z**2 - 386884*z/7 = 0. What is z? -2, 0, 1, 311 Factor -26738*m**2/19 + 213900*m/19 + 32/19. -2*(m - 8)*(13369*m + 2)/19 Find x such that -x**4/2 - 787*x**3 + 3156*x**2 = 0. -1578, 0, 4 Solve 2*l**2/5 - 76*l/5 - 318 = 0. -15, 53 Factor -m**2/2 + 206*m + 6405/2. -(m - 427)*(m + 15)/2 Determine b so that 4*b**2 - 18484*b - 18488 = 0. -1, 4622 Find f such that f**3 - 334882*f**2 + 669761*f - 334880 = 0. 1, 334880 Factor 2*n**2/3 - 366838*n/3. 2*n*(n - 183419)/3 Suppose 20*h**5 - 9045*h**4 + 175040*h**3 - 34155*h**2 - 175060*h + 43200 = 0. Calculate h. -1, 1/4, 1, 20, 432 Factor v**3 + 35070*v**2 - 140292*v + 140296. (v - 2)**2*(v + 35074) Find i, given that 50*i**5 + 660*i**4 + 1726*i**3 + 1268*i**2 + 72*i - 80 = 0. -10, -2, -1, -2/5, 1/5 Factor -b**2/2 - 16992*b + 33985/2. -(b - 1)*(b + 33985)/2 Solve -3*b**2 + 466686*b - 18149651883 = 0. 77781 Determine w, given that 25*w**4 + 42845*w**3 + 34105*w**2 - 265485*w + 51390 = 0. -1713, -3, 1/5, 2 Let -39*f**2/2 + 20745*f/2 - 40392 = 0. What is f? 51/13, 528 Factor -4*r**2 - 7310864*r - 3340545776656. -4*(r + 913858)**2 Let 4*z**5 - 84*z**4 - 196*z**3 + 2052*z**2 + 6912*z + 4752 = 0. Calculate z. -3, -1, 6, 22 Let 2*v**5/5 - 56*v**4/5 - 8546*v**3/5 - 25216*v**2/5 - 16728*v/5 = 0. Calculate v. -51, -2, -1, 0, 82 Solve -v**3 + 122069*v**2 - 244135*v + 122067 = 0 for v. 1, 122067 Solve -2*q**2/7 - 1286*q/7 + 184 = 0. -644, 1 Find v, given that -16*v**5/3 - 616*v**4 + 31951*v**3/3 - 70124*v**2/3 + 9729*v - 3406/3 = 0. -131, 1/4, 2, 13 Suppose 4*a**5/7 - 132*a**4/7 - 1244*a**3/7 - 2796*a**2/7 + 232*a/7 + 3936/7 = 0. Calculate a. -4, -3, -2, 1, 41 Let 2*h**2/5 + 16646*h/5 - 66616/5 = 0. Calculate h. -8327, 4 Find a such that -2*a**2/5 + 128*a/5 + 26 = 0. -1, 65 Find i such that -2*i**4/3 - 146*i**3/15 - 82*i**2/3 - 142*i/15 + 44/5 = 0. -11, -3, -1, 2/5 Determine i, given that 8*i**4 - 3914*i**3 + 978*i**2 = 0. 0, 1/4, 489 Factor u**5/7 + 330*u**4/7 + 2270*u**3/7 + 2880*u**2/7 - 8775*u/7 - 17442/7. (u - 2)*(u + 3)**3*(u + 323)/7 Factor v**4/9 - 25*v**3/9 + 127*v**2/9 + 17*v. v*(v - 17)*(v - 9)*(v + 1)/9 Factor 5*t**3 - 760*t**2 + 3555*t + 17640. 5*(t - 147)*(t - 8)*(t + 3) Solve 2*b**2 - 21598*b + 21596 = 0 for b. 1, 10798 Solve -t**2/5 + 380*t + 15264/5 = 0 for t. -8, 1908 Factor 2*f**3 + 188*f**2 + 4418*f. 2*f*(f + 47)**2 Find l such that -3*l**5/7 + 669*l**4/7 - 6864*l**3 + 1091904*l**2/7 = 0. 0, 47, 88 Factor 117*g**2/5 + 678*g/5 - 144/5. 3*(g + 6)*(39*g - 8)/5 Factor -4*r**2 + 52632*r - 173132964. -4*(r - 6579)**2 Factor 11*w**2 + 170*w + 600. (w + 10)*(11*w + 60) Determine w, given that -w**5/4 + 163*w**4/2 + 493*w**3/2 + 83*w**2 - 985*w/4 - 329/2 = 0. -2, -1, 1, 329 What is w in 39*w**5/4 - 587*w**4/4 + 2487*w**3/4 - 2037*w**2/4 + 49*w/2 = 0? 0, 2/39, 1, 7 Solve -2*m**4 - 4346*m**3 - 2367474*m**2 - 7072030*m - 4708900 = 0 for m. -1085, -2, -1 Suppose -2*g**2/7 + 1312*g/7 + 55680/7 = 0. What is g? -40, 696 Let 2*d**2 + 769324*d + 73982427122 = 0. Calculate d. -192331 What is m in m**4/4 - 32555*m**3/2 + 1059762913*m**2/4 + 529930290*m + 2
{ "pile_set_name": "DM Mathematics" }
a microgram? 5800 How many micrometers are there in 22.66756 meters? 22667560 What is 3/40 of a milligram in micrograms? 75 What is 15/4 of a gram in milligrams? 3750 Convert 1.0562 nanograms to kilograms. 0.0000000000010562 How many millilitres are there in 0.9586547 litres? 958.6547 How many microseconds are there in 49/5 of a millisecond? 9800 What is 11/8 of a millimeter in micrometers? 1375 What is 6510.529 decades in months? 781263.48 What is 354597.4l in millilitres? 354597400 What is 11/8 of a litre in millilitres? 1375 What is sixty-four fifths of a micrometer in nanometers? 12800 What is 1/5 of a kilogram in grams? 200 What is 67.7682 nanometers in millimeters? 0.0000677682 How many milliseconds are there in 3521.605us? 3.521605 How many millilitres are there in 5/8 of a litre? 625 How many millimeters are there in 2.248234km? 2248234 Convert 7392.908 weeks to days. 51750.356 Convert 9.642773 years to millennia. 0.009642773 Convert 5.187977 millilitres to litres. 0.005187977 What is 0.9960592ng in micrograms? 0.0009960592 Convert 80.72572 kilograms to grams. 80725.72 Convert 3.158742 millennia to months. 37904.904 What is 0.2260695 days in nanoseconds? 19532404800000 What is 317.54952 minutes in days? 0.2205205 What is 1/20 of a millisecond in microseconds? 50 What is 24334.61 millennia in centuries? 243346.1 How many nanograms are there in 3/40 of a milligram? 75000 How many kilometers are there in 0.5688625 micrometers? 0.0000000005688625 What is fifty-three fifths of a kilometer in meters? 10600 How many months are there in 10/3 of a year? 40 What is 0.5978114mm in centimeters? 0.05978114 How many centimeters are there in 6587.549 meters? 658754.9 Convert 26226.14 meters to millimeters. 26226140 How many decades are there in 18744.066 months? 156.20055 Convert 70.46427l to millilitres. 70464.27 What is twenty-three eighths of a day in minutes? 4140 What is 18/5 of a microgram in nanograms? 3600 How many millilitres are there in 445972.6l? 445972600 How many minutes are there in seven sixths of a day? 1680 How many minutes are there in 1/4 of a week? 2520 What is thirty-three fifths of a second in milliseconds? 6600 Convert 0.9246182ml to litres. 0.0009246182 Convert 56.52822s to microseconds. 56528220 What is thirteen eighths of a meter in millimeters? 1625 How many centuries are there in 11/2 of a millennium? 55 What is 3/5 of a minute in seconds? 36 Convert 389028.5mm to nanometers. 389028500000 Convert 0.2325983us to milliseconds. 0.0002325983 What is 1/24 of a millennium in months? 500 What is 1/5 of a litre in millilitres? 200 Convert 86.10436 kilograms to milligrams. 86104360 What is 0.1453139mg in kilograms? 0.0000001453139 What is 158106.21 nanoseconds in minutes? 0.0000026351035 How many nanograms are there in 27/2 of a microgram? 13500 Convert 111694.14 months to years. 9307.845 What is fourty-five quarters of a microgram in nanograms? 11250 How many millilitres are there in 34/5 of a litre? 6800 What is 12115.71 litres in millilitres? 12115710 How many nanometers are there in 47217.93mm? 47217930000 What is 3/8 of a centimeter in micrometers? 3750 What is 3/16 of a day in seconds? 16200 What is 2/125 of a microgram in nanograms? 16 What is 675541.8 millilitres in litres? 675.5418 Convert 585.5661mg to tonnes. 0.0000005855661 What is fifty-nine fifths of a microgram in nanograms? 11800 What is fifty-one quarters of a litre in millilitres? 12750 How many litres are there in 85285.88ml? 85.28588 What is fifty-five thirds of a century in months? 22000 How many nanoseconds are there in 6/5 of a microsecond? 1200 What is 7/4 of a millennium in decades? 175 What is 2.365558 litres in millilitres? 2365.558 How many weeks are there in 169606426.5 nanoseconds? 0.00000028043390625 How many litres are there in 0.6196742 millilitres? 0.0006196742 How many years are there in 39.85371 months? 3.3211425 How many meters are there in 3.661872cm? 0.03661872 How many micrometers are there in 52900.19 nanometers? 52.90019 What is 79902.2 meters in centimeters? 7990220 How many millilitres are there in 5609.689 litres? 5609689 How many millilitres are there in 51/4 of a litre? 12750 What is 51.15321 months in years? 4.2627675 How many minutes are there in ten ninths of a day? 1600 How many years are there in seventy-one quarters of a century? 1775 Convert 1.8479466 months to millennia. 0.00015399555 How many micrometers are there in three fifths of a millimeter? 600 Convert 3070.918km to millimeters. 3070918000 What is 7/4 of a day in hours? 42 What is eighty-one quarters of a week in hours? 3402 How many millilitres are there in seven quarters of a litre? 1750 Convert 64278.4 grams to milligrams. 64278400 How many seconds are there in four thirds of a hour? 4800 How many nanograms are there in one sixteenth of a milligram? 62500 What is thirteen fifths of a microgram in nanograms? 2600 Convert 82385.23l to millilitres. 82385230 Convert 97.53599 milligrams to tonnes. 0.00000009753599 What is 57521.71ml in litres? 57.52171 What is one tenth of a litre in millilitres? 100 Convert 605.3709ug to milligrams. 0.6053709 How many litres are there in 5234.721 millilitres? 5.234721 What is fourty-one halves of a millisecond in microseconds? 20500 Convert 7017.506 years to months. 84210.072 How many litres are there in 11268.18 millilitres? 11.26818 Convert 9494.174 litres to millilitres. 9494174 Convert 871257.1 kilograms to grams. 871257100 What is 71.1052l in millilitres? 71105.2 How many kilometers are there in 84.91583um? 0.00000008491583 How many years are there in twenty-nine halves of a millennium? 14500 How many days are there in ten sevenths of a week? 10 How many millimeters are there in 7/25 of a meter? 280 Convert 24.924009s to minutes. 0.41540015 What is 18/5 of a decade in years? 36 How many millilitres are there in 3/25 of a litre? 120 How many weeks are there in 1315937.07ns? 0.000000002175821875 What is seventeen quarters of a kilometer in meters? 4250 What is 42508.05 centuries in decades? 425080.5 How many tonnes are there in 544.1411 kilograms? 0.5441411 How many millilitres are there in twenty-one halves of a litre? 10500 What is 15/4 of a litre in millilitres? 3750 How many years are there in 24.52454 centuries? 2452.454 Convert 726.6738um to nanometers. 726673.8 What is one quarter of a kilometer in centimeters? 25000 What is 41/2 of a millennium in decades? 2050 How many micrograms are there in 1/16 of a gram? 62500 What is two fifteenths of a week in seconds? 80640 How many millilitres are there in thirty-one halves of a litre? 15500 How many micrograms are there in 7/2 of a milligram? 3500 How many days are there in 83.613195 milliseconds? 0.0000009677453125 Convert 48923.03ug to tonnes. 0.00000004892303 What is 6789.215ns in seconds? 0.000006789215 How many litres are there in 588525.7 millilitres? 588.5257 Convert 74008.73 kilometers to nanometers. 74008730000000000 How many years are there in 0.572157 millennia? 572.157 Convert 59801.36 nanometers to millimeters. 0.05980136 How many millilitres are there in 29/2 of a litre? 14500 Convert 13516677.9 nanoseconds to days. 0.00000015644303125 How many hours are there in 63.990081us? 0.0000000177750225 How many grams are there in 29/2 of a kilogram? 14500 What is 15.28587m in nanometers? 15285870000 What is 18/5 of a second in milliseconds? 3600 What is 5.780913 millennia in years? 5780.913 How many hours are there in three eighths of a week? 63 What is 1/36 of a week in seconds? 16800 How many millilitres are there in 8.11705l? 8117.05 How many grams are there in thirteen eighths of a kilogram? 1625 How many months are there in 0.165978 millennia? 1991.736 How many years are there in 18/5 of a century? 360 How many millilitres are there in one quarter of a litre? 250 What is 73.13181 centuries in months? 87758.172 What is seven eighths of a gram in milligrams? 875 How many days are there in 3/7 of a week? 3 How many millilitres are there in eleven eighths of a litre? 1375 What is 69/2 of a litre in millilitres? 34500 What is 0.8995092 decades in months? 107.941104 What is 270000.24 months in decades? 2250.002 Convert 46.00211 centuries to decades. 460.0211 What is twenty-
{ "pile_set_name": "DM Mathematics" }
Simplify (sqrt(288) + (-3 + sqrt(288))**2)*-3. -891 + 180*sqrt(2) Simplify 6*(3 + sqrt(19)) + ((sqrt(171)*3)**2 - sqrt(171)). 3*sqrt(19) + 1557 Simplify 1*(-1 + 3*sqrt(176))**2. -24*sqrt(11) + 1585 Simplify sqrt(26)/sqrt(50)*2. 2*sqrt(13)/5 Simplify (-2*(0 + sqrt(252)))**2. 1008 Simplify (sqrt(304) + 5 - sqrt(190)/sqrt(250)) + 2. 7 + 19*sqrt(19)/5 Simplify (sqrt(12)*2 + 0)*-2. -8*sqrt(3) Simplify (1*(sqrt(27) + 2*sqrt(27)))/(-4*sqrt(36)/sqrt(4)). -3*sqrt(3)/4 Simplify ((sqrt(3) - (sqrt(3) + -3 + 4)) + 0 + -5)**2. 36 Simplify -1*sqrt(38)/sqrt(2)*-5. 5*sqrt(19) Simplify (sqrt(3024)*-2)/(sqrt(30)/(sqrt(40)/sqrt(4))). -24*sqrt(7) Simplify 4 + ((sqrt(38) - (-2*sqrt(190) + sqrt(190) - sqrt(190))/sqrt(5) - sqrt(38))/sqrt(2))**2. 80 Simplify (sqrt(180)/(-2*sqrt(6)))/sqrt(6). -sqrt(5)/2 Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77) + sqrt(77)))*-6)/((sqrt(84)/sqrt(3))/sqrt(4)))**2. 1859 Simplify 2*((sqrt(26)/(sqrt(8)/sqrt(4)))**2 + sqrt(13)). 2*sqrt(13) + 26 Simplify -3*sqrt(3328). -48*sqrt(13) Simplify ((sqrt(143) - 3*sqrt(143))/sqrt(11) - sqrt(13))**2 - sqrt(416)/sqrt(8). -2*sqrt(13) + 117 Simplify -5 + (4*(sqrt(2) + 0) - sqrt(2)) + sqrt(2) + 1. -4 + 4*sqrt(2) Simplify (sqrt(68) + 2 - sqrt(17)) + 3. sqrt(17) + 5 Simplify (1*sqrt(3)*3 + (sqrt(12) - (sqrt(12) - sqrt(48)/sqrt(4))) + -1)**2. -10*sqrt(3) + 76 Simplify 2*(sqrt(52) + -3). -6 + 4*sqrt(13) Simplify sqrt(117)/(3*sqrt(108)/sqrt(12))*5. 5*sqrt(13)/3 Simplify -6*((sqrt(700)*-2 + sqrt(700))**2 + (sqrt(28) - sqrt(28)*-1) + sqrt(7)). -4200 - 30*sqrt(7) Simplify sqrt(133)/((sqrt(35) + sqrt(140)/sqrt(4))/sqrt(5)). sqrt(19)/2 Simplify (1*sqrt(2) + -2)**2 + 4. -4*sqrt(2) + 10 Simplify ((sqrt(33)*3 - sqrt(33))*-1)/sqrt(3). -2*sqrt(11) Simplify -1 + (sqrt(130) + -3*-3*sqrt(130))/sqrt(10). -1 + 10*sqrt(13) Simplify ((-2*sqrt(351))/sqrt(9))/(sqrt(3) - sqrt(36)/sqrt(48)). -4*sqrt(13) Simplify 3 + -2*sqrt(19) - (sqrt(1900) + 2 + sqrt(1900) - sqrt(19)). -21*sqrt(19) + 1 Simplify sqrt(325)*-5 - (sqrt(637) + 2)**2. -641 - 53*sqrt(13) Simplify (2*(sqrt(39) + sqrt(156)/sqrt(4)) - sqrt(39))/((sqrt(66)/sqrt(2))/sqrt(11)). 3*sqrt(13) Simplify sqrt(11) + 2 + 3 + sqrt(11) + (-4*sqrt(176) + sqrt(11))**2 + sqrt(11). 3*sqrt(11) + 2480 Simplify (sqrt(72)*-1 - sqrt(18))/sqrt(6). -3*sqrt(3) Simplify 3 + sqrt(20)*-5. -10*sqrt(5) + 3 Simplify sqrt(20)/sqrt(40) + -5. -5 + sqrt(2)/2 Simplify -3 + (sqrt(27) + -3*sqrt(27))**2. 105 Simplify -3 + sqrt(70)/sqrt(490). -3 + sqrt(7)/7 Simplify (2*sqrt(17) + 3)*6. 18 + 12*sqrt(17) Simplify (sqrt(351)/sqrt(3) + -4 + 4)**2. 117 Simplify (sqrt(7) + 3 + 4)*-2 + 0. -14 - 2*sqrt(7) Simplify (3*sqrt(637) - sqrt(637) - sqrt(637)) + 4*sqrt(1872). 55*sqrt(13) Simplify (sqrt(1700) - (sqrt(1700) + 1)*-5)**2. 600*sqrt(17) + 61225 Simplify ((sqrt(88) - 2*sqrt(88))*-6)/sqrt(8). 6*sqrt(11) Simplify ((sqrt(425) + -1)*-5)**2 + -3. -250*sqrt(17) + 10647 Simplify -5 + ((sqrt(10)*3)/sqrt(2))**2. 40 Simplify ((sqrt(448) + sqrt(7))*-6*-1)**2. 20412 Simplify ((sqrt(30)/sqrt(6))**2 + 1)*-2. -12 Simplify -1 + (sqrt(637) + (1 + sqrt(637) - sqrt(637)) - 5*(sqrt(52) - sqrt(13))**2). -65 + 7*sqrt(13) Simplify sqrt(7) + sqrt(7) + sqrt(7) + (sqrt(7) + -2 + 4 - sqrt(7))**2 + -5. -1 + 3*sqrt(7) Simplify (-5 + 1*(-4 + (sqrt(44) - sqrt(11)) - sqrt(11)))**2. 81 Simplify (sqrt(168)/(sqrt(32)/sqrt(4)))/(sqrt(7) + sqrt(63)*-5). -sqrt(3)/14 Simplify -4*(sqrt(28)/sqrt(4))**2*-1. 28 Simplify (sqrt(243)*2)**2 - -6*2*sqrt(3). 12*sqrt(3) + 972 Simplify sqrt(15)/sqrt(80). sqrt(3)/4 Simplify (sqrt(26)*-2)/sqrt(2) + -3 + 0. -2*sqrt(13) - 3 Simplify 2 + 2 + (sqrt(3) - sqrt(24)/sqrt(512))**2. 403/64 Simplify (-2*(-5 + sqrt(1900)*-2*6 + sqrt(1900)))**2. 4400*sqrt(19) + 919700 Simplify (-3 + sqrt(192)*2)**2*-4. -3108 + 384*sqrt(3) Simplify sqrt(85)/(sqrt(5) + (sqrt(560) - sqrt(35))/sqrt(7)). sqrt(17)/4 Simplify (sqrt(102) + 4*4*sqrt(102))/(sqrt(6) + sqrt(36)/sqrt(24)). 34*sqrt(17)/3 Simplify (sqrt(5) - (1 + sqrt(5))) + 4 + sqrt(35)/(sqrt(14)/sqrt(2)). sqrt(5) + 3 Simplify (2*sqrt(56)*-1)/(sqrt(8) + sqrt(16)/sqrt(8)). -4*sqrt(7)/3 Simplify ((3*sqrt(1100) - sqrt(1100))*2)**2 + sqrt(1100) + -1*(sqrt(1100) - (sqrt(1100)*2)**2). 22000 Simplify sqrt(26)/(sqrt(242) + 2*sqrt(242) + sqrt(242) + sqrt(2)). sqrt(13)/45 Simplify ((sqrt(77) + -3*sqrt(77))*-6 + sqrt(77) + sqrt(77))/sqrt(7). 14*sqrt(11) Simplify -3*((sqrt(152) - sqrt(152)*2*2)/(sqrt(8) + (sqrt(96)*2)/sqrt(12)))**2. -57 Simplify ((-3 + sqrt(108))**2 + sqrt(3))*-2. -234 + 70*sqrt(3) Simplify ((sqrt(125) - sqrt(125)*-4)*-5 - sqrt(125))**2 + 5. 84505 Simplify -4 + sqrt(432) + 5 + (1 + sqrt(432) - sqrt(432))**2. 2 + 12*sqrt(3) Simplify 5*sqrt(36)/(sqrt(12)*-2). -5*sqrt(3)/2 Simplify (2*sqrt(1100))**2 + -1 + -4. 4395 Simplify -5 + 4*sqrt(176)*-5. -80*sqrt(11) - 5 Simplify (sqrt(11) - (-1 + sqrt(275) - sqrt(11)) - ((sqrt(11) + -1)**2 + -2)) + (sqrt(1584) + 1 + sqrt(1584) + -1)**2. -sqrt(11) + 6327 Simplify (sqrt(133) - (2*sqrt(133) + sqrt(133)))/sqrt(7) - sqrt(19) - (sqrt(152)*-3)/sqrt(8). 0 Simplify (4 + 1*(sqrt(5)*-3 + -5))**2. 6*sqrt(5) + 46 Simplify (sqrt(117))**2 + -1 + (sqrt(91)*1 - sqrt(91) - sqrt(91))/sqrt(7) - (sqrt(1872) - (1 + sqrt(1872) + -3))**2. -sqrt(13) + 112 Simplify (-2*-1*sqrt(44))/(sqrt(36)*5). 2*sqrt(11)/15 Simplify (sqrt(396) + 2)*5. 10 + 30*sqrt(11) Simplify sqrt(704) + (sqrt(704) - (sqrt(704) + (sqrt(704)*-3*-2)**2 + sqrt(704)) - sqrt(704)). -25344 - 8*sqrt(11) Simplify -1*sqrt(28) + sqrt(7) + -4. -4 - sqrt(7) Simplify sqrt(15)/(sqrt(5)*-2*3). -sqrt(3)/6 Simplify 3*sqrt(288) - (sqrt(16)*-2)/sqrt(8). 38*sqrt(2) Simplify (-2 + sqrt(2057) + -4)**2. -132*sqrt(17) + 2093 Simplify -3*(0 + sqrt(2) + 0). -3*sqrt(2) Simplify ((sqrt(88) - sqrt(88)*1)*4)/(sqrt(8) + (sqrt(8) - (sqrt(8) + -2*(sqrt(24)/sqrt(3) + sqrt(8))))). 0 Simplify ((2*sqrt(520))/sqrt(10))/(sqrt(36)/(sqrt(36)/sqrt(4) + sqrt(9))). 4*sqrt(13) Simplify 3*(sqrt(1872) - (2*sqrt(1872) - sqrt(1872)))*6*-4. 0 Simplify (sqrt(85) - (sqrt(85) + (sqrt(85) + (sqrt(85) - -5*(sqrt(85)*1 - sqrt(85))) - sqrt(85))))/(1*sqrt(500)). -sqrt(17)/10 Simplify (-2 + sqrt(275) - sqrt(11)) + (sqrt(33)/sqrt(27) + sqrt(11))**2. 4*sqrt(11) + 158/9 Simplify (sqrt(78)*1*-4 - sqrt(78))/((sqrt(150)/sqrt(5))/sqrt(5)). -5*sqrt(13) Simplify 2*(6*(sqrt(320) + 0)*6)**2. 829440 Simplify ((sqrt(136) + sqrt(136) + sqrt(136) + 1*sqrt(136) + sqrt(136) + sqrt(136))*-4)/(sqrt(48)/sqrt(96)). -96*sqrt(17) Simplify (5*(sqrt(147) - (sqrt(147) + (2*sqrt(147) - sqrt(147))))*1)**2. 3675 Simplify (5*(sqrt(132) + (sqrt(132) - ((-5*sqrt(132) - sqrt(132) - sqrt(132)) + sqrt(132)))))/sqrt(12) + 1. 1 + 40*sqrt(11) Simplify (sqrt(66)/(sqrt(6)*4))**2 + -2. -21/16 Simplify (-1 + sqrt(11) + -5)**2 + -4. -12*sqrt(11) + 43 Simplify sqrt(55)/(sqrt(11) + 2*sqrt(539)) + -2. -2 + sqrt(5)/15 Simplify (((sqrt(700) + -1)**2 - sqrt(700)) + 4)*-1. -705 + 30*sqrt(7) Simplify 1*(sqrt(396)/sqrt(4) - sqrt(11)). 2*sqrt(11) Simplify ((sqrt(99)*3 - sqrt(44)*5)*1)**2. 11 Simplify -3 + 2 + sqrt(76)/sqrt(4) + -4. -5 + sqrt(19) Simplify sqrt(170)/((2*sqrt(60))/sqrt(6)). sqrt(17)/2 Simplify (-3 + sqrt(32) + sqrt(4)/sqrt(2) + 5 + 1)**2. 30*sqrt(2) + 59 Simplify ((sqrt(1872) - (sqrt(1872) - ((sqrt(1872)*1 - sqrt(1872)) + sqrt(1872)))) + sqrt(1872))/sqrt(4). 12*sqrt(13) Simplify 1 + (sqrt(42)*-1*5)/sqrt(6). -5*sqrt(7) + 1 Simplify (2*(sqrt(70) - -2*sqrt(70)))/(sqrt(10) - sqrt(80)/sqrt(32)). 12*sqrt(7) Simplify (-2 + -2 + sqrt(19)*-2)**2 + sqrt(152)/(sqrt(8) - (sqrt(8) - -4*-1*sqrt(8)) - sqrt(8)). 49*sqrt(19)/3 + 92 Simplify ((0 + sqrt(320) + -1)**2 + -4)*6. -96*sqrt(5) + 1902 Simplify (sqrt(45)*-2*1)/(sqrt(9) + sqrt(81)*3 + sqrt(9) + sqrt(9)). -sqrt(5)/6 Simplify 1*-1*sqrt(5)*2 + -4. -2*sqrt(5) - 4 Simplify sqrt(76)*1 + 0. 2*sqrt(19) Simplify (6*(-6*(sqrt(12)/sqrt(4) + sqrt(3)) - sqrt(3)))**2. 18252 Simplify ((sqrt(2) - -4*sqrt(8)/sqrt(4)) + sqrt(2))**2 + sqrt(36)/sqrt(2). 3*sqrt(2) + 72 Simplify (sqrt(77)/(-2*sqrt(11)))**2 - (-2*sqrt(84))/sqrt(12). 7/4 + 2*sqrt(7) Simplify (sqrt(121) - (sqrt(121) - (2*(sqrt(121) - 1*sqrt(121)) + sqrt(121))))/(sqrt(539)*-1). -sqrt(11)/7 Simplify sqrt(60)/(sqrt(12) - sqrt(768)) + 0. -sqrt(5)/7 Simplify (-4 + sqrt(200))**2 + (sqrt(2) - (sqrt(2) - (3*sqrt(2) + -2)**2)). -92*sqrt(2) + 238 Simplify (sqrt(11) - (sqrt(11) + (sqrt(110) + 1*sqrt(110))/sqrt(10)))
{ "pile_set_name": "DM Mathematics" }
rt(2) + ((sqrt(162) - (sqrt(162) - (sqrt(162) - (sqrt(162) - ((sqrt(162)*1 - sqrt(162)) + sqrt(162))))))/sqrt(9) + sqrt(18))**2. sqrt(2) + 73 Simplify ((sqrt(4900)*-1 + sqrt(4900))/sqrt(7))**2. 0 Simplify 1 + sqrt(15)/sqrt(5) - (sqrt(3) + (sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363) + 1 - sqrt(363))) - sqrt(3)). 2 + 12*sqrt(3) Simplify sqrt(132)/sqrt(48) + -1 + 3. sqrt(11)/2 + 2 Simplify (0 + (sqrt(931)*1 - (sqrt(1539) + sqrt(1539) + 1*sqrt(1539))))**2. 7600 Simplify sqrt(3564) - -2*(2*sqrt(3564))**2. 18*sqrt(11) + 28512 Simplify -5*sqrt(684)*-3 + 3. 3 + 90*sqrt(19) Simplify ((sqrt(65)*-1 + sqrt(65) + sqrt(65))*4)/(sqrt(60)/(sqrt(12)*2)). 8*sqrt(13) Simplify -2 + 2*sqrt(3) + -5 + sqrt(21)/(sqrt(14)/sqrt(2))*4. -7 + 6*sqrt(3) Simplify (-6*(-1 + sqrt(13)) + -3 + -1*sqrt(13))**2. -42*sqrt(13) + 646 Simplify (5 + (sqrt(19) + 0 - sqrt(19)))*5. 25 Simplify (sqrt(20)/(sqrt(24)/sqrt(6)))**2 - (sqrt(320) - (sqrt(320) + 0)). 5 Simplify (3*sqrt(68))**2*-1. -612 Simplify ((sqrt(19) - 2*sqrt(19))**2*6 - (-5 + sqrt(19) + 2*sqrt(19))) + 5. -3*sqrt(19) + 124 Simplify -4*((2*sqrt(114))/sqrt(6) - (sqrt(76) - (sqrt(76) + 0))**2). -8*sqrt(19) Simplify -2 + sqrt(117) + (-2 + sqrt(117) + (sqrt(117) - (-2 + sqrt(117) - sqrt(117))) - sqrt(117))**2. 3*sqrt(13) + 115 Simplify 0 + (sqrt(2057) - (-1 + sqrt(2057)) - sqrt(2057)) + (sqrt(2057) - (3 + sqrt(2057) + 1)). -11*sqrt(17) - 3 Simplify -1 + sqrt(7) + 1 + -2 + (sqrt(63) + 1)**2. 7*sqrt(7) + 62 Simplify (sqrt(475) - (-3*sqrt(475))**2) + (sqrt(171) + sqrt(171)*2)/sqrt(9). -4275 + 8*sqrt(19) Simplify ((-2*sqrt(56)*-1)/(sqrt(800) - sqrt(800)*-2))**2. 7/225 Simplify ((sqrt(65) + sqrt(65) + -4*(-2*sqrt(65) + sqrt(65)) + sqrt(65))/(sqrt(180) + 2*sqrt(180)))**2. 637/324 Simplify (sqrt(18)*1*6)/(sqrt(6)*-1*-2 - sqrt(6)). 6*sqrt(3) Simplify (sqrt(45)*3 + sqrt(45))/sqrt(9) + (sqrt(120)/sqrt(4))/sqrt(6) + sqrt(5). 6*sqrt(5) Simplify (sqrt(171) - -6*(sqrt(171) + -2*sqrt(171)))/sqrt(9) + -5. -5*sqrt(19) - 5 Simplify ((3 + 4*sqrt(1900) - sqrt(1900) - sqrt(1900)) + sqrt(1900))**2. 180*sqrt(19) + 17109 Simplify (3 + (sqrt(50)*1 - sqrt(50)))**2. 9 Simplify -6*(1 + sqrt(3)) + -2 + (sqrt(12)/sqrt(4))**2 - (-3*(sqrt(9)/sqrt(3) - sqrt(3))*-2)**2. -6*sqrt(3) - 5 Simplify sqrt(1300) + sqrt(1300) + (-1*sqrt(1300))**2 + sqrt(52)*-2. 16*sqrt(13) + 1300 Simplify (sqrt(304) + -3*(sqrt(304) + 2) - (5 + -2*sqrt(304)))**2. 121 Simplify (2 + (sqrt(1573) + sqrt(1573) + -1)**2)*2 + 3. -88*sqrt(13) + 12593 Simplify ((2 + sqrt(288))*6 - sqrt(288))**2*-6. -44064 - 8640*sqrt(2) Simplify ((sqrt(1872) - (-5 + (sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 0) - sqrt(1872))))) + -1)**2. -96*sqrt(13) + 1888 Simplify (-1*-3*sqrt(363))**2*-2. -6534 Simplify sqrt(20)/(sqrt(32)/(sqrt(48)/sqrt(6))). sqrt(5) Simplify ((2*sqrt(315))/sqrt(5) - sqrt(126)/(sqrt(50) + sqrt(2)))**2. 847/4 Simplify ((1*sqrt(170) - sqrt(170))/sqrt(10) - (sqrt(17) + 1*sqrt(17)*-1))**2*-6. 0 Simplify 1 + (sqrt(192) + (0 + sqrt(192))**2 - (sqrt(3) - sqrt(21)/sqrt(7))*-3). 8*sqrt(3) + 193 Simplify ((sqrt(76) - (sqrt(76) + -1*sqrt(76)))**2 - ((3*sqrt(19))**2 + 1)) + -4. -100 Simplify -3 + (2*sqrt(2299) - sqrt(2299)). -3 + 11*sqrt(19) Simplify 1*((sqrt(931)*-1 - sqrt(931)) + -5)**2. 140*sqrt(19) + 3749 Simplify -3*sqrt(847)*-4 + ((sqrt(847) - (sqrt(847) + 3*sqrt(847)) - sqrt(847)) + 4 - sqrt(847))**2. -308*sqrt(7) + 21191 Simplify -4*sqrt(57)/sqrt(3) - sqrt(19)*-1*-3. -7*sqrt(19) Simplify -2 + 1 + 1*sqrt(1008). -1 + 12*sqrt(7) Simplify sqrt(117)/sqrt(36) - sqrt(65)/(sqrt(5) - (sqrt(5) + sqrt(20))). sqrt(13) Simplify (-2 + sqrt(200))**2. -40*sqrt(2) + 204 Simplify 1*((sqrt(11) + 1*sqrt(99))**2 - sqrt(176)*-1). 4*sqrt(11) + 176 Simplify 5*(sqrt(21)/sqrt(3) + -1). -5 + 5*sqrt(7) Simplify 3 + 0 + sqrt(1088). 3 + 8*sqrt(17) Simplify (-5*sqrt(104)*2)/((sqrt(800)*2 - sqrt(800)) + sqrt(800) + sqrt(800)). -sqrt(13)/3 Simplify 1 + 2*sqrt(208) + -1 + -2. -2 + 8*sqrt(13) Simplify ((sqrt(275) + (sqrt(275) - ((sqrt(275) + sqrt(275) + sqrt(275)*1 - sqrt(275) - sqrt(275)) + -3)))*-4)**2. 480*sqrt(11) + 4544 Simplify sqrt(33)/(sqrt(18)/sqrt(6)) - (-2*sqrt(176) - sqrt(176))**2. -1584 + sqrt(11) Simplify (-4*sqrt(220))/sqrt(11). -8*sqrt(5) Simplify (5 + sqrt(500) + 2 + sqrt(500))*3. 21 + 60*sqrt(5) Simplify (sqrt(75) + -1)**2 - sqrt(3)*-1*-6. -16*sqrt(3) + 76 Simplify -5*(sqrt(3) - (sqrt(3) + sqrt(18)/sqrt(6))**2)*-5. -300 + 25*sqrt(3) Simplify (sqrt(931) + -1 + sqrt(931))**2*-4. -14900 + 112*sqrt(19) Simplify (sqrt(60)/sqrt(4)*-1)/(sqrt(3) + (sqrt(3) - (sqrt(6)/sqrt(2) + sqrt(3)))*4). sqrt(5)/3 Simplify (sqrt(27) - sqrt(3)) + -3 + sqrt(30)/(sqrt(50)/sqrt(5)). -3 + 3*sqrt(3) Simplify -1*(sqrt(176) + -2). -4*sqrt(11) + 2 Simplify (0 + sqrt(162) + -2 + -3)**2. -90*sqrt(2) + 187 Simplify sqrt(4)/(-3*sqrt(6)/sqrt(3)). -sqrt(2)/3 Simplify sqrt(56)/(sqrt(800)*1). sqrt(7)/10 Simplify (-4 + -6*(sqrt(300) + 1) + sqrt(300))**2. 1000*sqrt(3) + 7600 Simplify (-2*(sqrt(85) + -1*sqrt(85) - sqrt(85)))/(sqrt(10)/(1*sqrt(2))). 2*sqrt(17) Simplify (3*sqrt(625) + sqrt(25))/(sqrt(5) + 3*sqrt(605) + sqrt(605)). 16*sqrt(5)/45 Simplify sqrt(10)/(sqrt(5) + sqrt(40)/(sqrt(16)/sqrt(2)))*5. 5*sqrt(2)/2 Simplify (-1*(sqrt(3) - sqrt(192)*2))**2. 675 Simplify 1 + (sqrt(110)/(sqrt(30)/sqrt(3)))**2*-2. -21 Simplify (sqrt(38) + -3*sqrt(342))/sqrt(2). -8*sqrt(19) Simplify ((sqrt(162) + 1*sqrt(162) + sqrt(162) - sqrt(162) - sqrt(162))/sqrt(9))/(-2*sqrt(225))*2. -sqrt(2)/5 Simplify (sqrt(19) + sqrt(57)/sqrt(3)*4 - (sqrt(133)*2)/sqrt(7))*-1. -3*sqrt(19) Simplify (sqrt(28) + sqrt(140)/sqrt(5))*6. 24*sqrt(7) Simplify -5*-4*(sqrt(99) + 1). 20 + 60*sqrt(11) Simplify 4*(sqrt(11) - (sqrt(396) + 1 + sqrt(396))). -44*sqrt(11) - 4 Simplify (2*sqrt(68) + (-2 + -2*sqrt(17) - sqrt(17)))**2. -4*sqrt(17) + 21 Simplify (-2*sqrt(52)/(sqrt(100)*-6))**2. 13/225 Simplify (-2 + (sqrt(425) - (sqrt(425) - (sqrt(425) + -1) - sqrt(425))) + -4*(sqrt(425)*1 + sqrt(425)))**2. 180*sqrt(17) + 15309 Simplify sqrt(2448) + -1 + 3. 2 + 12*sqrt(17) Simplify 5*(sqrt(8) + -4). -20 + 10*sqrt(2) Simplify sqrt(65)/((sqrt(5) - sqrt(80))*6)*-5. 5*sqrt(13)/18 Simplify -3 + -5 + -5 + sqrt(21)/sqrt(3). -13 + sqrt(7) Simplify (sqrt(5)*4*1*-6 + -4)**2. 192*sqrt(5) + 2896 Simplify (2*sqrt(7)*-1 - sqrt(7))**2*-2 + 5 + 4. -117 Simplify 6*1*sqrt(567)*5. 270*sqrt(7) Simplify sqrt(1216) + 0 - sqrt(304)*3. -4*sqrt(19) Simplify -3 + 5 + (sqrt(704) - sqrt(704)*-1). 2 + 16*sqrt(11) Simplify ((-5*-1*sqrt(99))/(sqrt(144)*-2 + sqrt(144)))**2. 275/16 Simplify (2 + 4*sqrt(275))**2. 80*sqrt(11) + 4404 Simplify 2*(3*(-1 + sqrt(80)))**2. -144*sqrt(5) + 1458 Simplify (sqrt(6)/sqrt(3)*4)**2 + (sqrt(50)*2 - sqrt(2)). 9*sqrt(2) + 32 Simplify (sqrt(405)/(sqrt(9)*2))/((sqrt(108) + sqrt(108) + 2*sqrt(108))/sqrt(12)). sqrt(5)/8 Simplify (-5 + sqrt(38)/((sqrt(32)/sqrt(4))/sqrt(4)))**2. -10*sqrt(19) + 44 Simplify (-5*sqrt(320)*1 + (sqrt(320) - (-2 + sqrt(320)*-1)) + sqrt(320))**2. -64*sqrt(5) + 1284 Simplify -6*(sqrt(1331) + 2 - sqrt(1331)). -12 Simplify (sqrt(143)/(sqrt(275) - (sqrt(275)*2 + sqrt(275) + sqrt(275)))*6)**2. 52/25 Simplify (-2*sqrt(165)/sqrt(5))/sqrt(11). -2*sqrt(3) Simplify 0 + ((sqrt(17) - ((sqrt(204) - (sqrt(204) + sqrt(204)*1 + sqrt(204))) + sqrt(204))/sqrt(12)) + -4 + sqrt(17) + 0)**2. -24*sqrt(17) + 169 Simplify ((-3*sqrt(180) - sqrt(180))/sqrt(10))/(sqrt(42)/(sqrt(7)*1)). -4*sqrt(3) Simplify 5*sqrt(1700) - (sqrt(17) - (sqrt(187) + sqrt(187)*-4 + sqrt(187))/sqrt(11))**2. -153 + 50*sqrt(17) Simplify ((sqrt(120)*3)/sqrt(5))/((sqrt(120)/sqrt(2))/sqrt(5)). 3*sqrt(2) Simplify -2*((-1 + sqrt(567) - sqrt(567)) + (sqrt(21)/sqrt(3))**2 + -3). -6 Simplify ((2 + sqrt(720) + -4 - sqrt(720)) + -2)**2. 16 Simplify (sqrt(42)/(sqrt(6)/sqrt(3)))/(-2*sqrt(12)/sqrt(4)). -sqrt(7)/2 Simplify ((sqrt(484)*-3)/sqrt(11))/sqrt(4) + -2. -3*sqrt(11) - 2 Simplify (sqrt(20) - (3*sqrt(200))/sqrt(10))/(-4*sqrt(12)/sqrt(3)). sqrt(5)/2 Simplify ((sqrt(304) + 0 + sqrt(304))**2 + -2 + 2 + sqrt(19) + sqrt(19))*2. 4*sqrt(19) + 2432 Simplify 5*(5 + sqrt(2) + 0)**2 + 4. 50*sqrt(2) + 139 Simplify (-2*sqrt(13) + 3)**2*2. -24*sqrt(13) + 122 Simplify 3 + sqrt(99)/(sqrt(9) + sqrt(36)/sqrt(4)). sqrt(11)/2 + 3 Simplify (sqrt(600) - (sqrt(600) - sqrt(600)*-2))/((-2*sqrt(132))/sqrt(11)). 5*sqrt(2) Simplify -6*(sqrt(102)/sqrt(6))**2 + -3. -105 Simpl
{ "pile_set_name": "DM Mathematics" }
y = 5.8 + -30.8. Let h = 25.1 + y. Which is the nearest to 6? (a) -3 (b) -0.3 (c) h c Let n = 0.28 + 0.02. Let u = -82/5 - -169/10. What is the nearest to u in 2/13, 2/3, n? 2/3 Suppose -8*h = -111 - 33. What is the closest to h in -3, -5, 0.4? 0.4 Suppose -5*w = -3*q - 2, 4*w = -q - 51 + 39. What is the nearest to w in 0.2, -0.1, 85? -0.1 Let t = -4.68 + -0.32. Let d = -100 - -97. What is the nearest to 0 in t, 2, d? 2 Let r be 88/1100*(-1 - -2)*5. Which is the closest to 0.1? (a) 1 (b) 3 (c) r (d) 9 c Let n be (-23)/46*3/3. Let t = -15 + 14. Which is the closest to n? (a) t (b) 0.5 (c) -0.1 c Let z = 102 + -117. Let v = -0.064 - 14.536. Let j = v - z. Which is the closest to 0.2? (a) -5/4 (b) j (c) -0.1 b Let g = 11 + -10.9. Let m = 0.2 - 0.01. Let t = m - -0.11. What is the closest to g in -1/4, t, 5? t Let v(u) = 5*u**2 - 55*u - 3. Let h be v(11). Which is the closest to -2/3? (a) -2 (b) h (c) 4 (d) 5 a Let p be 3/(-8) + (-3)/(-8). Which is the closest to 4? (a) -3 (b) p (c) 0.09 c Let u = 5.0435 - 0.0435. Which is the closest to u? (a) -0.5 (b) -5/4 (c) -2/7 c Let s = 4.545 + 0.455. Which is the closest to -0.1? (a) s (b) -4 (c) -2/3 c Let w = 0.7 + 3.3. Which is the closest to 0.1? (a) 1/4 (b) w (c) -1 a Let u be 24/7 + (22/14 - 2). Suppose 5*g + 5*k = 4*k + 9, 0 = -u*g - 5*k + 1. Which is the closest to 0.3? (a) 2/11 (b) g (c) 0.1 a Let h be (-3)/(6/(-12) + 2). What is the nearest to -5 in -0.4, h, 2? h Let y = -250.9 - -251. What is the nearest to y in 0, -0.1, 1.1? 0 Let r = 0.5 + 4.5. Let m = 17.7 - 18. Let o = m + -0.1. Which is the closest to 1? (a) r (b) o (c) -0.3 c Let j be (-4 + (-1820)/(-355))*(-2)/(-9). Let q = j - 2/71. Let d = 3/34 - -24/17. Which is the closest to 2? (a) d (b) q (c) -4 a Let l be (-2)/(-4)*2 - 1. Let w be (873/48)/((-72)/(-32)). Let h = w - 25/3. What is the closest to l in 1/3, h, -0.2? -0.2 Let t be 43 - (1 + -2 + -2 + 3). Let n = 42 - t. Which is the closest to n? (a) 0.5 (b) -5 (c) 0.3 c Let i = 2088 - 2088.05. Which is the closest to -2/9? (a) i (b) 2 (c) 4/3 (d) -2/9 d Suppose -59*s + 150 = -145. What is the nearest to 2 in s, 4, -0.13, 1? 1 Let k = -79728 - -638759/8. Let p(j) = -2*j**3 + 6*j**2 - j - 12. Let g be p(5). Let y = g + k. Which is the nearest to 0? (a) y (b) 3 (c) 0.4 a Let x = -26 - -28. Suppose 2*o + 3*m = -3, o - x*o + 5*m = 8. Which is the nearest to 0.1? (a) o (b) -1/6 (c) -0.2 b Let o = 0.1 + 0. Let x = 3/4 + -7/20. Let u = -1.52 + 4.52. Which is the nearest to o? (a) x (b) u (c) 2 a Let z(l) = l + 1. Let u be z(0). Let y = -1.539 - -1.339. Which is the nearest to u? (a) y (b) 0.03 (c) 3/7 c Let l be (108/(-42) - -2)*(-14)/12. Which is the nearest to l? (a) -18 (b) -2/5 (c) -5 b Let v = -611.3 - -670. Let s = -59 + v. Which is the nearest to -4? (a) -2/17 (b) s (c) -1 c Let l = -4.58 - -6.58. What is the closest to 0.2 in -0.36, l, -1/8, 5? -1/8 Let d = -1.12 + 1.17. What is the nearest to 1 in d, 0, 0.3? 0.3 Let u = -28.51 + 0.51. Let y = u + 28.5. Which is the closest to 1? (a) 5 (b) 2/9 (c) y c Let g = -23 + 24. Let o = -106 - -114. Which is the closest to -1/4? (a) o (b) 3 (c) g c Let h = -1.14 - -1.24. Which is the nearest to h? (a) 2 (b) -2/5 (c) 0.2 c Suppose -1184*n = -1187*n. Which is the closest to 1? (a) -4 (b) n (c) 168 b Let n = -11.9 - -12. Let a = 56 - 55.7. What is the closest to n in -1, a, 0.36? a Let j = 4.94 - -0.06. Let t = j + -7. Let s = -6 + 3. Which is the closest to t? (a) 2/3 (b) s (c) -2/7 b Let w = -1.5 + 1.49. Let j = w + 38.01. Let t = 32 - j. What is the nearest to t in -0.1, 5, 1/2? -0.1 Let k = 3.3 + -11.8. Let y = 9 + k. Let g = 0.9 - 1. Which is the closest to g? (a) y (b) -5 (c) 0.3 c Let g = -165.57 + 167. Let k = g + -0.43. Suppose -3*a = -2*a + 3. What is the closest to -0.1 in k, a, 4? k Let r = 1.44 + -4.14. Let h = r - -3.1. Let a be (1 + -1)/(-1 - 1). What is the nearest to a in h, -4, 0? 0 Suppose 4*j = 20, -6 = -2*q - j - 3. Let i be q/(-8) - (-9)/(-72). Which is the nearest to -11? (a) 1/6 (b) i (c) -2 c Let g be 14/(-3)*108/(-21). Let n be ((-9)/g)/((-1)/(-4)). Which is the nearest to -1/3? (a) 1 (b) n (c) -5 b Let f = -68 + 67.5. Let g = -396 - -819/2. Let v = g + -129/10. What is the nearest to -1 in 3/2, f, v? f Let l = 224 + -182. Which is the nearest to 0? (a) 0.2 (b) l (c) -3 a Suppose n + 3*n = 284. Let g = 70 - n. Let i = 0.2 - 0.2. What is the closest to 1 in g, -0.2, i? i Let m = 1.2 + -1.4. Let v = -44.39 + 44.4. What is the nearest to 0 in -2, m, v? v Let k = 23/10 - 9/5. Let n = -1.3 - -1. Let x = n + -0.2. Which is the closest to k? (a) 3 (b) x (c) 0.4 c Let h = 5/6 - 1/6. Let j = -128 - -128. Which is the nearest to j? (a) -4/7 (b) h (c) 3 a Let k = -787 + 788. Which is the closest to -2/9? (a) -5 (b) -36 (c) k (d) -1 d Let i = -0.043 + -2.957. What is the nearest to 2 in -8, 0.4, i? 0.4 Let k = 245 + -234. Which is the closest to -1/4? (a) 1/5 (b) k (c) -4 (d) -0.4 d Let c be ((3 - 1) + -3)*59. Let m = -4/76447 + -58481903/993811. Let r = m - c. What is the nearest to 0.1 in r, 0.3, 3? r Let j = -8 - -9. Suppose 3*y + 4*h + 28 = 0, 3*y - 8*y - 32 = 3*h. Which is the closest to -0.1? (a) 0.4 (b) j (c) y a Suppose g - 2*g = 0. Suppose 28 = 5*i - 4*c, -5*i - 3*c + 14 = -g*i. What is the nearest to 3/5 in i, 0.5, 5? 0.5 Let y = 13 + -3. Let x = -2 + y. Let k be 12/x + 3/2. Which is the nearest to -3? (a) 0 (b) -0.3 (c) k b Let r = -519 + 522. Which is the closest to 0.3? (a) 4 (b) 0.3 (c) r b Let n = 0.3309 - 0.0309. Which is the nearest to n? (a) -1 (b) 2/3 (c) 1 b Suppose 2*t - f - 5 = 0, 10 - 20 = 4*t + 2*f. Let v = -0.8 + 1. What is the closest to v in 0.5, t, -0.2? t Let c = 87.3 - 87.2. What is the nearest to c in -0.5, -6, 0.1? 0.1 Let t = 733 + -728. Which is the nearest to -0.1? (a) 3/7 (b) 0.1 (c) -12 (d) t b Let t = -433 - -1731/4. What is the nearest to t in 1, 0, -0.1? -0.1 Let g = -1 + 0.7. Let n be 4/3 + 6 + (-15)/2. Let x be -2 - (2 + 34/(-9)). Which is the closest to x? (a) -5 (b) n (c) g b Let r be ((-1)/2 - 0)*0. What is the closest to -0.2 in r, -26, -2/13? -2/13 Let f = -186 + 186.5. What is the nearest to 0 in -2/19, f, -4? -2/19 Let j be (-16)/(-10) - (-6)/15. Let w = -28 - -26. Let z = 55 - 54. Which is the nearest to z? (a) -0.1 (b) j (c) w b Let h be 1 + 2/(-2) - 0. Let s = 82/3 - 27. Let t = 45/266 + -1/38. What is the nearest to h in s, 2/3, t? t Let g = 461/1092 + 1/156. Let w be (10/3 - -1) + -4. Let j = 0.04 - 4.04. What is the nearest to w in j, g, 0.1? g Let h = -98.1 - -98. Let v be (-2)/(-6) + 8/(-12). What is the nearest to 0 in h, v, 36? h Let l = 0.8 + -0.3. Suppose -97*x = -174 + 465. Which is the closest to x? (a) -3 (b) l (c) 0 a Let w(n) = -39*n + 44. Let z be w(1). Which is the closest to -2/5? (a) -0.1 (b) z (c) 0 (d) 25 a Let h = -1605 - -1627.97. Let q = -23 + h. Let f = q + 0.23. What is the closest to f in 0.2, 4, -5? 0.2 Let o be (-357)/153 - 82/(-30). Which is the closest to 16/5? (a) o (b) 0.3 (c) 0.2 a Let o = 132.1 + -132.3. Which is the nearest to 2/63? (a) o (b) -2 (c) -2/13 c Suppose -a = s + 3*a - 112, 2*s + 3*a = 204. Let g be 3 + s/(-52) - (-3)/(-3). What is the closest to g in 2, 5, 4? 2 Let d = 3 + -2. Let j = 700 - 700.1. Which is the nearest to j? (a) 4 (b) -1/21 (c) d b Let f = -7.36 - -2.36. What is the nearest to 0 in f, 0.3, 4? 0.3 Suppose 22*k + 44 + 0 = 0. Which is the closest to 0? (a) -5 (b) k (c) 0 c Let x = -0.323 - -0.373. Which is the nearest to x? (a) 3 (b) -0.5 (c) -2/15 c Let i = -0.8 - -0.4. Let l = 0.2 + i. Let u = -13792 + 41378/3. What is the closest to u in l, -1/7, -0.3? -1/7 Let x(i) = -i + 4. Let q be x(5). Let f be (-1 - q)*(2 + -3). Which is the closest to 3? (a) -1 (b) f (c) -2/5 b Let l be (-6)/(18/4*(-2)/(-6)). Let o be ((-6)/l)/(4/(-2)). Let d be 16/(-9) + (-4)/18. Which is the nearest to 0? (a) d (b) 3 (c) o c Let m = -734/77 - -108/11. Let k = 0 - 1. Let g = 11 + -10. What is the closest to g in -5, k, m? m Let q(p) = 7*p - 2. Let n be q(-6). Let f be n/(-36) - 3/3. Let z = -134/3 - -45. What is the closest to 0.1 in 0.1, f, z? 0.1 Suppose -2*g + 2 = q - 4, -5*q = -20. Supp
{ "pile_set_name": "DM Mathematics" }
3/136 Two letters picked without replacement from cpcfpkcppphcfppppp. What is prob of picking 1 f and 1 p? 20/153 Two letters picked without replacement from nqnffdo. Give prob of picking 1 n and 1 d. 2/21 Three letters picked without replacement from uppuwppuuuuwwppuup. Give prob of picking 1 p and 2 u. 49/204 What is prob of picking 2 h and 2 i when four letters picked without replacement from ihihihi? 18/35 Four letters picked without replacement from ksbgtgbbgtbb. Give prob of picking 2 t and 2 g. 1/165 Three letters picked without replacement from {t: 1, x: 2, g: 4, l: 1, w: 3}. Give prob of picking 2 g and 1 t. 2/55 What is prob of picking 4 x when four letters picked without replacement from {x: 8, z: 2}? 1/3 Four letters picked without replacement from ffeeeeqehqweqe. What is prob of picking 1 h, 1 e, and 2 f? 1/143 Calculate prob of picking 1 j, 1 i, and 2 b when four letters picked without replacement from jrpqirbb. 1/70 Two letters picked without replacement from {c: 2, w: 4, b: 3, l: 2, q: 2, r: 1}. Give prob of picking 1 c and 1 w. 8/91 Three letters picked without replacement from {j: 2, d: 6, t: 1, s: 1, y: 1, r: 5}. What is prob of picking 2 j and 1 d? 3/280 Calculate prob of picking 4 r when four letters picked without replacement from {r: 5, q: 5, x: 1}. 1/66 Three letters picked without replacement from tunubupnupuup. What is prob of picking 1 b and 2 p? 3/286 Two letters picked without replacement from {q: 7, r: 2, i: 6}. What is prob of picking 2 q? 1/5 Calculate prob of picking 1 t, 1 r, and 1 h when three letters picked without replacement from {a: 2, i: 1, t: 5, r: 2, h: 2, b: 1}. 10/143 Calculate prob of picking 2 r when two letters picked without replacement from {z: 1, d: 1, e: 9, n: 1, r: 2, a: 1}. 1/105 Four letters picked without replacement from vxvnnxxnmx. Give prob of picking 1 v, 2 n, and 1 x. 4/35 What is prob of picking 4 z when four letters picked without replacement from {z: 11, o: 1}? 2/3 Calculate prob of picking 2 c and 1 y when three letters picked without replacement from {y: 4, c: 7}. 28/55 Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, x: 7}. 1/15 Four letters picked without replacement from {x: 3, u: 2}. Give prob of picking 2 u and 2 x. 3/5 Three letters picked without replacement from vvvvnvnvnnvnvvnnvvv. What is prob of picking 1 v and 2 n? 84/323 What is prob of picking 2 y when two letters picked without replacement from {y: 6, l: 7}? 5/26 What is prob of picking 2 f when two letters picked without replacement from ffrf? 1/2 What is prob of picking 1 d and 1 i when two letters picked without replacement from {d: 8, y: 7, i: 5}? 4/19 What is prob of picking 3 f when three letters picked without replacement from {f: 4, b: 2, r: 2, k: 5}? 2/143 Calculate prob of picking 1 y and 3 e when four letters picked without replacement from yyeeyyyyyyyyeyyyey. 14/765 What is prob of picking 1 h, 1 t, and 1 k when three letters picked without replacement from {t: 1, x: 1, h: 2, q: 2, k: 4}? 1/15 Three letters picked without replacement from {w: 4, t: 3, r: 2, j: 2, q: 2}. What is prob of picking 1 r and 2 w? 6/143 Three letters picked without replacement from {o: 2, n: 6}. What is prob of picking 2 o and 1 n? 3/28 Two letters picked without replacement from {n: 3, a: 1, x: 5, b: 1, k: 2}. Give prob of picking 2 x. 5/33 Two letters picked without replacement from {p: 3, s: 2, h: 4, c: 6}. Give prob of picking 2 s. 1/105 Calculate prob of picking 2 j and 1 r when three letters picked without replacement from vjrninnjnnnini. 1/364 Three letters picked without replacement from {d: 1, k: 1, n: 1, c: 5, g: 6, y: 2}. What is prob of picking 1 n, 1 c, and 1 d? 1/112 Two letters picked without replacement from rqnrzod. What is prob of picking 1 d and 1 o? 1/21 Two letters picked without replacement from {c: 4, e: 2, q: 2, x: 2, z: 3, n: 2}. What is prob of picking 1 x and 1 q? 4/105 Calculate prob of picking 1 d and 2 v when three letters picked without replacement from dcvv. 1/4 Calculate prob of picking 1 d and 1 o when two letters picked without replacement from tdttdttqttzqdoqtdzd. 5/171 Calculate prob of picking 2 z when two letters picked without replacement from {z: 5, d: 4, l: 8}. 5/68 Two letters picked without replacement from {z: 1, d: 2, v: 6, n: 3, g: 2}. Give prob of picking 1 n and 1 d. 6/91 Two letters picked without replacement from {l: 6, u: 3, o: 1, q: 2, m: 1}. What is prob of picking 1 l and 1 u? 3/13 Calculate prob of picking 2 y, 1 v, and 1 x when four letters picked without replacement from {v: 2, x: 1, h: 1, y: 2}. 2/15 Two letters picked without replacement from {c: 2, d: 3, v: 1, u: 1, h: 4}. Give prob of picking 1 u and 1 c. 2/55 Calculate prob of picking 2 z when two letters picked without replacement from zzuzuuuuuuu. 3/55 Calculate prob of picking 1 u and 1 f when two letters picked without replacement from fuff. 1/2 Three letters picked without replacement from mzxzmmwmkwmzkwmmaazz. What is prob of picking 1 m and 2 z? 7/114 Two letters picked without replacement from {w: 8, y: 1, u: 1, s: 2, k: 2, z: 1}. What is prob of picking 1 s and 1 y? 2/105 Four letters picked without replacement from wrbwrbbwb. What is prob of picking 2 b and 2 r? 1/21 What is prob of picking 1 b and 1 r when two letters picked without replacement from {u: 1, g: 2, r: 1, o: 2, b: 1}? 1/21 Four letters picked without replacement from yydqqyqyyidy. Give prob of picking 1 d and 3 q. 2/495 Two letters picked without replacement from {i: 1, g: 5, t: 3, v: 5, a: 2, l: 4}. What is prob of picking 1 i and 1 l? 2/95 What is prob of picking 1 y and 1 f when two letters picked without replacement from yycycycmmcymyfc? 2/35 Three letters picked without replacement from assgslaglgwaasagw. Give prob of picking 1 g, 1 a, and 1 s. 2/17 Three letters picked without replacement from ywikwifiuyfi. What is prob of picking 1 w, 1 k, and 1 f? 1/55 Calculate prob of picking 1 s and 2 q when three letters picked without replacement from sssqqsqfssqsss. 27/182 Three letters picked without replacement from {x: 4, w: 2, q: 5, f: 2, n: 4}. What is prob of picking 3 n? 1/170 Four letters picked without replacement from {j: 5, b: 8}. Give prob of picking 2 b and 2 j. 56/143 Two letters picked without replacement from jjqgjgij. What is prob of picking 2 g? 1/28 Four letters picked without replacement from {u: 2, s: 2, a: 2}. What is prob of picking 2 u, 1 s, and 1 a? 4/15 Two letters picked without replacement from {b: 3, k: 1, g: 1, u: 1, x: 1}. What is prob of picking 1 u and 1 x? 1/21 Four letters picked without replacement from ffasfffaas. Give prob of picking 1 s and 3 a. 1/105 Two letters picked without replacement from {y: 2, x: 2, z: 1, j: 2, l: 1}. Give prob of picking 1 l and 1 x. 1/14 Four letters picked without replacement from {v: 7, o: 1}. Give prob of picking 4 v. 1/2 Two letters picked without replacement from gqmmbbqbqqbqqqq. Give prob of picking 1 m and 1 q. 16/105 What is prob of picking 2 f when two letters picked without replacement from ffhfhfffffhffffhfhff? 21/38 Four letters picked without replacement from {l: 6, e: 2, r: 2, a: 3}. What is prob of picking 1 e, 2 l, and 1 r? 12/143 Calculate prob of picking 1 x and 3 r when four letters picked without replacement from rrxxrrvvrv. 2/21 What is prob of picking 1 d, 1 o, and 1 y when three letters picked without replacement from {o: 1, y: 3, p: 7, g: 2, d: 5}? 5/272 Four letters picked without replacement from {x: 4, y: 3, o: 5}. What is prob of picking 2 o and 2 y? 2/33 Three letters picked without replacement from sqpsqqqsqpsqsqq. What is prob of picking 1 p and 2 q? 8/65 Calculate prob of picking 2 g, 1 j, and 1 s when four letters picked without replacement from jsgsga. 2/15 Calculate prob of picking 4 a when four letters picked without replacement from {t: 3, a: 2}. 0 Two letters picked without replacement from twwwlwtwwwwdw. Give prob of picking 1 l and 1 t. 1/39 Two letters picked without replacement from {t: 10, c: 3, m: 2, j: 1}. What is prob of picking 1 m and 1 j? 1/60 Two letters picked without replacement from jjc. What is prob of picking 2 j? 1/3 Two letters picked without replacement from {w: 1, b: 4, a: 2, g: 1
{ "pile_set_name": "DM Mathematics" }
in decreasing order. 16, -1/6, q, -3 Suppose -4 = -2*h + 2*y - 3*y, 0 = 5*h - 3*y - 32. Suppose -t - 15 = -5*c, t - h*c = -12 + 1. Let v = 0 + -4. Put t, v, 2 in ascending order. v, 2, t Let y = 2 - 1. Let z be y/(-1*2 + -3). Let c = -0.5 + 3.5. Put -0.3, z, c in increasing order. -0.3, z, c Suppose -3*p = -2*h + 23, -2*h - 4*p = -0*p + 12. Put -3, 6, 0, h in decreasing order. 6, h, 0, -3 Suppose -d = -4*t + 6*t + 7, 5*t + 20 = -5*d. Sort t, -5, 1 in increasing order. -5, t, 1 Let h = -119762/45 - -2661. Let d = 2/45 + h. Sort 0, 0.5, d. d, 0, 0.5 Let i(c) = -5*c**2 + 2*c - 1. Let w be i(1). Suppose -4 - 1 = d. Sort d, w, -0.3. d, w, -0.3 Let c = -65 - -70. Sort 1, 4, c in decreasing order. c, 4, 1 Suppose 0 = 3*w + 2 - 14. Suppose -15 - 9 = -3*s. Let t = s - 5. Sort t, -3, w. -3, t, w Let a = -3 - -5. Let s be (6/(-12))/((-1)/10). Sort -1, a, s. -1, a, s Let q be 0*(1 + -2) + (-18)/9. Sort -14, q, 5 in descending order. 5, q, -14 Suppose 0 = 5*h - 7*u + 9*u + 1, 2*u + 6 = 0. Put h, -4, -21, 0 in descending order. h, 0, -4, -21 Suppose 4*r - 6*r = -10. Suppose 3*i + r + 1 = 0. Let j(m) = 4*m + 3. Let b be j(-2). Sort -4, b, i in increasing order. b, -4, i Let a be 2/7 - 16/(-42). Let f(w) = -w**3 + 7*w**2 + 8*w - 3. Let b be f(9). Let y be 3 - 1*b/(-27). Put a, 5, y in decreasing order. 5, a, y Suppose 4*f + 4*x = -16, 0 = f + 5*x - 9*x - 6. Suppose 5*k + 15 = 4*z, 4*k + 8 = -z + 17. Suppose -30 = -5*o + 3*p, p - 3 = -o - z. Sort f, o, 2/5. f, 2/5, o Let p(j) = -j**2 - 6*j - 5. Let g be p(-4). Let r = 9 - 8.95. Let k = r - -0.55. Put k, -2/11, g in descending order. g, k, -2/11 Let i = -17 + 12. Sort 0, i, -0.3 in descending order. 0, -0.3, i Let u = 1.1 + -0.8. Put 1, 0, u in decreasing order. 1, u, 0 Suppose -23*h - 4*m - 4 = -25*h, m + 1 = -3*h. Suppose -b + 2*w + 3*w + 9 = 0, -5*w - 15 = 5*b. Suppose 3*p + 10 = 1. Put h, b, p in ascending order. p, b, h Let d = -4 + 8. Sort d, -1, 1 in decreasing order. d, 1, -1 Let j = 0.1 + 0. Put j, -5, 0 in increasing order. -5, 0, j Let u = 10.24 + 0.76. Sort 0, -1, -1/3, u in decreasing order. u, 0, -1/3, -1 Let q be (1 - 0)*2/(-2). Let v(i) = -5*i + 1. Let y be v(1). Let z be (-3)/(-9) + (-42)/(-9). Sort q, y, z. y, q, z Let y(o) = -2*o + 4. Let d be y(4). Let v be 1/(0 - (-2)/4). Put -1, v, d in increasing order. d, -1, v Let d = 10 + -9. Let m(s) = -s**2 + 8*s - 8. Let a be m(7). Let c(l) = -l**3 + 4*l**2 + 5*l + 3. Let v be c(5). Put d, a, v in descending order. v, d, a Suppose -13 - 6 = 2*g + 5*q, -4*g = 2*q - 2. Sort g, -2, -5 in ascending order. -5, -2, g Let p be -3 + (-10)/(-2) - -4. Sort 4, 3, p. 3, 4, p Let w = 7 + -11. Put -1/6, w, -2 in ascending order. w, -2, -1/6 Let r be 7/((-42)/(-48)) + -3. Sort 0.1, r, -1 in descending order. r, 0.1, -1 Suppose 2*s + s = -6. Let b(y) = 2*y**2 + 3*y. Let p be b(s). Sort 0.04, p, -2 in decreasing order. p, 0.04, -2 Let c = 7.513 - -0.087. Let j = -8 + c. Put j, 0.3, 0.1 in increasing order. j, 0.1, 0.3 Let t = -4 + 4.05. Let x = -2.95 - t. Sort 4/5, x, -2/5. x, -2/5, 4/5 Let s(n) = -n - 2. Let x be s(-3). Suppose -5*u - 3*a = -u - 26, 5*u - 3*a - 19 = 0. Suppose -80*k = -78*k + 10. Sort u, x, k in ascending order. k, x, u Let w = 0.4 + -0.9. Sort 0.5, 8, w in decreasing order. 8, 0.5, w Let s = -3 + 2. Let b = -0.7 - s. Let n = 2.4 + -0.4. Sort b, n, 1 in decreasing order. n, 1, b Let m = 1.62 - 1.42. Let i = 3 + -2.4. Let p = i - m. Put p, -5, -2/9 in descending order. p, -2/9, -5 Let v = -8 - -5. Suppose 0*m - m + 18 = 5*h, -6 = 3*m. Let z(p) = -p**2 + 2*p. Let c be z(2). Put c, v, h in ascending order. v, c, h Let k = -72 - -76. Sort k, -0.4, -0.1, -4 in ascending order. -4, -0.4, -0.1, k Let l be -2 - 8/3*9/(-6). Sort l, -1, 5, -3 in decreasing order. 5, l, -1, -3 Suppose 3*t - 2 = t. Let k be 5 - (4 + -1 + -7). Put k, t, 4 in decreasing order. k, 4, t Let i = -10 + 9.5. Sort 0.5, i, -0.1 in increasing order. i, -0.1, 0.5 Suppose 0 = -4*b + b + 21. Suppose -b*t + 6*t = 5. Let j = 2.8 + -3. Sort j, -2, t. t, -2, j Let q = 130 - 128. Sort q, 5, 0, 8 in descending order. 8, 5, q, 0 Suppose 4*p + d = -2*d + 11, -2*d + 14 = -4*p. Let t be p + -1*2/(-1). Put 4, t, -4 in ascending order. -4, t, 4 Let v be (-2)/2 - -2 - 0. Suppose -a = 2*l - 4*a - v, 4*l = -a + 23. Sort l, 2, 0 in decreasing order. l, 2, 0 Let n(w) = -2*w**3 + 3*w**2 - 3*w + 4. Let a be n(3). Let h be (3/(-6))/((-1)/a). Let l be (h/(-10))/(2/5). Sort 2, l, 3 in descending order. l, 3, 2 Suppose -28 = 3*i + i. Let a be i/5 - (-10)/25. Sort a, 4, 5 in increasing order. a, 4, 5 Let q = 100/21 + -16/3. Let n = -161/4 + 40. Let m = -26 - -26. Sort n, q, m in descending order. m, n, q Suppose -5*t + 32 = 2*m - t, 25 = 5*t. Let c be m/(-52)*(-8)/6. Let j = 2.6 + -3. Sort c, 0.4, j in descending order. 0.4, c, j Suppose -4*h + 31 - 11 = 0. Sort h, 4, 2 in descending order. h, 4, 2 Suppose 4*d + 2*g = 8 + 42, d + 5 = -4*g. Suppose -2*u - d = 3*u. Put u, 1, -5 in descending order. 1, u, -5 Let t = -4 + 23. Let l = t + -17.4. Let v = l + 0.4. Put v, 1/2, 0.2 in increasing order. 0.2, 1/2, v Suppose 3*j + 2*m - 164 = -j, 5*m + 52 = j. Let h be j/36 - 4/6. Put h, -3/8, -4/5 in increasing order. -4/5, -3/8, h Let f = 0.953 - -0.047. Sort -0.1, f, 4. -0.1, f, 4 Let k = 39 - 118/3. Put -1/8, k, 0.2 in increasing order. k, -1/8, 0.2 Suppose 0 = -0*i + 2*i + 4. Let q be 2 - (-2 - -1)*i. Suppose -6*k - 5*n = -k + 10, k - 4*n + 7 = 0. Sort -1, k, q in descending order. q, -1, k Let n = 18 - 16. Let y be -2*(n + -1)/(-7). Sort 0.1, y, 3 in descending order. 3, y, 0.1 Let x(o) = -5*o - 2. Let j(f) = -6*f - 2. Let h(c) = -6*j(c) + 7*x(c). Let m be h(2). Let q = 29/10 - 299/110. Sort q, 1/8, m in ascending order. m, 1/8, q Let l(b) = -b**3 - 3*b**2 - b + 2. Let t be l(-3). Suppose 5*a + 20 = a. Put -4, a, t in decreasing order. t, -4, a Let z be (-2)/(-8)*7/(-7). Let h = 0.25 + 0.05. Let x = -5 + 5. Sort z, x, h in descending order. h, x, z Let p(f) = -3*f + 5. Let i be p(3). Suppose a - 5*a = -20. Sort -1, a, i. i, -1, a Let c(w) be the first derivative of w**4/4 + 2*w**3 + 7*w**2/2 + 3*w - 1. Let g be c(-6). Let u be 2/(-6) + g/(-36). Sort -2, u, 0 in increasing order. -2, 0, u Let j be 1/(-4 + 4 + -1). Put 1, j, 2 in descending order. 2, 1, j Suppose -x - 3*f = -1, -3 + 1 = -2*x - 4*f. Sort x, -4, -1, -2 in descending order. x, -1, -2, -4 Let q = 0 + 5. Let n = 1 + 1. Suppose -n*y + 5*y = -15. Sort -1, y, q in increasing order. y, -1, q Let j = -4/5 + -17/10. Let y = -64 - -66. Put y, j, 0.1 in increasing order. j, 0.1, y Let p = -43 + 45. Put 1, p, 1/10, 9 in ascending order. 1/10, 1, p, 9 Let h = -3/46 + 101/138. Let x = 1 + -1.2. Sort -2, h, x. -2, x, h Suppose -5*i = 2*u - i, 3*u = 4*i - 10. Let s be ((-3)/(-1))/((-3)/u). Let w = 2 - 7. Sort w, 0, s in decreasing order. s, 0, w Let p = 100.2 + -100. Let c = -7 + 4. Sort c, p, -0.2. c, -0.2, p Let w(g) = g**3 + 17*g**2 + g + 15. Let n be w(-17). Let z(m) = m**3 + 2*m**2 - m + 3. Let o be z(-3). Sort -5, o, n in increasing order. -5, o, n Let y = 123 + -122.6. Sort -3, -0.19, y in ascending order. -3, -0.19, y Let o be (6/1)/(6/4). Suppose -5*z = -4*z. Suppose 5*f + z*f - 25 = 0. Put -4, f, o in ascending order. -4, o, f Let d = 3 + -2. Let t(q) = 5*q**3 - 2*q - 1. Let l be t(-1). Suppose -a - 3*a = 0. Put a, l, d in decreasing order. d, a, l Let v = 115 + -29. Let c be v/(-30) + (-8)/60. Sort -1, 1, c in increasing order. c, -1, 1 Let t = -56 - -44. Put t, 5, 1, -1 in descending order. 5, 1, -1, t Let i = 2 + -6. Let w = 0.7 + -1.02. Let t = -0.08 + w. Sort t, 0.1, i in decreasing order. 0.1, t, i Let w = 165.3 + -165. Sort w, -4/3, -2/7 in descending order. w, -2/7, -4/3 Suppose 25 - 20 = -w. Put w, 3, -2, -3 in descending order. 3, -2, -3, w Let i be (-66)/36 + 1/3. Let h = 23 + -22.6. Sort i, 0, h in increasing order. i, 0, h Let g = 1/73 - -139/511. Sort 4/9, g, 0 in ascending order. 0, g, 4/9 Let c = 13/20 + -2/5. Let p(x) = x**2 + 6*x - 10. Let t be p(-7). Let a be t + (-3 - (-236)/40). Sort a, c, -3. -3, a, c Let z(a) be the third derivative of a**6/120 - 2*a**5/15 + a**4/4 + 4*a**3/3 - 2*a**2. Let u be z(7). Put u, 4/9, -0.5 in ascending order. -0.5, 4/9, u Suppose 0 = -4*d - 3*h - 5, -4*d = 4*h + 1 + 3. Let q be d + (-3)/(-1) + -1. Suppose q
{ "pile_set_name": "DM Mathematics" }
actor of (-21)/((-21)/u - -2)? True Suppose -717 = -3*l + 84. Suppose -3*f - 36 = -l. Is f a multiple of 23? False Let r = 42 + 94. Suppose -4*w + 281 = -p, -p + 66 + r = 3*w. Does 21 divide w? False Let u(x) be the first derivative of x**4/4 - 2*x**3 - 4*x**2 + 9*x + 1. Suppose 0*b - 2*b = -14. Does 2 divide u(b)? True Let i = 0 - -2. Suppose -i*s = 4*y - 24, 3*s - 4*y + 4 = -2*y. Suppose -3*t + 130 = s*t. Is t a multiple of 13? True Let u = 11 + 49. Is 3 a factor of u? True Let d(u) = -u**3 - 6*u**2 - 2*u + 3. Is d(-6) a multiple of 5? True Let t(q) = -q + 270. Does 48 divide t(0)? False Let o = 9 + -4. Let w be (-14)/(o/((-5)/2)). Let u = w + -4. Is u a multiple of 3? True Suppose 0 = -x + 8*x - 140. Is 13 a factor of x? False Suppose 10 = 6*a - 14. Is a even? True Let y(r) = -r**3 - 5*r**2 - 3. Let d be y(-5). Let x(p) = -p + 2. Let c be x(0). Is 28 - (c + 6/d) a multiple of 11? False Let t = 6 - 5. Suppose 46 = -5*n + 2*b - 6*b, -b = -t. Does 4 divide 2 + 0 + n/(-2)? False Let y(h) = h**2 + h - 4. Let l(q) = 4*q**2 + 2*q - 12. Let o(v) = 2*l(v) - 7*y(v). Is 2 a factor of o(3)? True Let y be ((-8)/(-4))/((-2)/7). Is y/4*8/(-2) a multiple of 5? False Let f(a) = -a**2 - a + 38. Let m be f(0). Suppose 7 - m = -3*z + 2*c, 2*c + 22 = 2*z. Does 9 divide z? True Let z be (1 - -1) + 64/(-8). Let b = 38 - z. Does 22 divide b? True Let i = -274 - -560. Is i a multiple of 15? False Suppose -4*h = -0*h - 64. Does 8 divide h? True Let f(m) be the second derivative of m**5/20 + 5*m**4/6 + 5*m**3/3 + m**2/2 - 4*m. Is 20 a factor of f(-8)? False Let u(j) = 5*j**2 + 4. Let k be u(-4). Suppose -6*t - k = -2*t. Let r = 65 + t. Is 22 a factor of r? True Suppose 18 = 6*v - 4*v. Let b be (-3 - 0) + 0/(-2). Let i = b + v. Is i a multiple of 3? True Is 12 a factor of 1204/20 + 4/(-20)? True Suppose -324 = -4*l - 2*o, 4*l - o = -0*o + 330. Is 28 a factor of l? False Let c = 18 - 10. Suppose -5*z - 68 = -4*x - 3*z, -4*z = c. Is x a multiple of 8? True Is 9 a factor of 18*((0 - 2) + 4)? True Suppose -26 = -5*j + 3*s, 0*j + 5*j = -s + 18. Suppose -2*i = 4*d - 102, j*i = 5*d - 0*d + 165. Is i a multiple of 27? False Suppose v + 16 = -4*w, 3*w - 5*w - 30 = -5*v. Suppose -5*i - v*j + 100 = j, 2*i + 3*j = 42. Does 9 divide i? True Let d(v) = 2*v - 12. Is d(16) a multiple of 4? True Let d = 101 + -65. Let c = -7 + 99. Suppose 2*z - d = -2*m, -5*z - 2*m + c = m. Is 10 a factor of z? False Suppose 1220 = -5*q - 115. Let u = -181 - q. Does 25 divide u? False Let i = -54 - -85. Let f be ((-60)/(-16))/(2/(-8)). Let u = f + i. Is 16 a factor of u? True Let g(j) = -j**3 + 9*j**2 + 4*j - 4. Let c be 9 + 0*(-4)/(-8). Is g(c) a multiple of 8? True Suppose 2*d + 0*d = 52. Is 12 a factor of d? False Let l = -222 - -407. Suppose -3*n = -5*f + l, -f - 5*n - 2 = -11. Does 17 divide f? True Let t be (3 - -9)*(0 - -11). Let c = t + -85. Does 25 divide c? False Suppose 2*r = -2*t + 76, -2*t + 90 - 12 = 4*r. Is 4 a factor of t? False Let p = 32 + 344. Suppose 3*r - p = -r. Does 27 divide r? False Let t(k) = -3*k**3 + 3*k**2 - 2*k + 1. Let j be t(2). Let g = j + 25. Suppose 0 = -4*i - 4*a + 32, -2*i + g = -0*i - 4*a. Does 2 divide i? False Let o(x) = 61*x**2 - 2*x + 1. Let q be o(1). Suppose 0 = 3*p + p + 2*z - q, 0 = 3*p - 5*z - 45. Does 4 divide p? False Suppose 0 = 5*n + 30 - 10. Is 13 a factor of n/(-10) + (-128)/(-5)? True Let g(u) = 8*u + 4. Let n(o) = 9*o + 5. Let m(d) = 5*g(d) - 4*n(d). Let a be m(-1). Is a/(-6) + 8/6 even? True Let p(d) = 5*d + 2. Let k be p(-2). Let s be (k/2)/((-4)/22). Let t = s + -8. Is 14 a factor of t? True Suppose 0*c + 10 = -c. Let b = 22 + c. Does 6 divide b? True Does 10 divide (14/21)/(-1 + 284/282)? False Let v(y) = -y + 1. Let u be v(4). Let g = u + 11. Suppose -3*l - g = -26. Does 6 divide l? True Suppose 5*s - 3*s = 658. Does 47 divide s? True Suppose 4*t - 14 - 10 = 0. Suppose -3*d + t = 0, -2*b + 3*d = -b - 46. Is 11 a factor of b? False Let k(t) be the first derivative of -5*t**3/3 + 7*t**2/2 + 6*t + 2. Let r(y) = -6*y**2 + 6*y + 7. Let w(s) = 5*k(s) - 4*r(s). Is w(8) a multiple of 9? False Suppose -6*a = -2*a + 40. Let w be 12*7/2 - 0. Let s = w + a. Is 12 a factor of s? False Let k(y) = 4 - 3 - 10 + y. Let v be k(8). Is 2*(6/2 - v) a multiple of 4? True Suppose 2*h = -2*d + 2, 3*h - 18 = -0*h + 2*d. Suppose 0 = 7*z - 4*z - 135. Suppose -z = o - h*o. Does 5 divide o? True Let u(r) = -2*r + 1. Let t be u(0). Suppose 0 = p - t - 5. Is p a multiple of 6? True Let m(i) = 8*i + 8. Let l be m(6). Suppose -g - l = -5*g. Does 7 divide g? True Let p(j) = -j**2 + 11. Does 8 divide p(0)? False Suppose 7*b = 6*b + 238. Is 14 a factor of b? True Let c = 1 + 4. Suppose -4*q + 3*q - 4 = 0, -4*g - q + 12 = 0. Suppose 0 = g*k - 2*w + w - 10, k - c*w = -7. Is 3 a factor of k? True Suppose 3*m + 85 = c, 0*m + 5*m - 5 = 0. Does 11 divide c? True Suppose -p - 5 = -13. Suppose -3*v = v - p. Suppose -v*z + 26 = 4*i - 6*i, 3*z - 2*i = 36. Is 10 a factor of z? True Suppose 30 - 10 = 5*i, -4*i = 3*f - 136. Does 20 divide f? True Suppose -4*b - 5 = -21. Suppose -q + 1 = -b. Suppose -2*k + q*l - 73 = -5*k, 5*l = -k + 41. Does 8 divide k? True Does 23 divide (-9)/(-12) + 178/8? True Let m be 2 - (1 + -1)/(-1). Is 4 + m - (-2 - 0) a multiple of 4? True Let d(j) = 1. Let o(i) = 12*i - 4. Let p(y) = 10*d(y) + 2*o(y). Is 13 a factor of p(1)? True Suppose -24 = -7*a + 3*a. Let f = a + -1. Is f a multiple of 4? False Let y(w) = -w**2 + 8*w + 5. Does 4 divide y(7)? True Let l = 18 + -13. Let j(r) = -r**2 + 5*r + 4. Let i be j(l). Suppose -i*h - 4*n = -76, 4*h - 48 = 4*n - 4. Does 12 divide h? False Suppose 9 = -4*i + 29. Suppose 5*t + n - 103 = -0*n, 5*n = -i*t + 115. Is t a multiple of 6? False Suppose -8*a - 135 = -9*a. Is 45 a factor of a? True Let c be -11 - (-3 + -1 + 2). Let m be (3/c)/((-2)/30). Let y(s) = 4*s - 5. Is y(m) a multiple of 4? False Does 20 divide 0 + (3 + 0)*22? False Let h(o) = o**2 + 2. Let b be h(0). Suppose 111 - 27 = b*p. Does 19 divide p? False Let g be (-6)/(-8) + 18/8. Suppose 26 = 4*m - 9*m - 3*a, 0 = 2*m - g*a + 2. Let y = m - -9. Is y a multiple of 3? False Suppose 0*g - g = -77. Is 7 a factor of g? True Suppose -w = 3*l - 2, -5 = -2*l + w + 3. Suppose l*h + 0*h - q - 19 = 0, -2*q = h - 12. Is h a multiple of 5? True Suppose 0 = -4*o + 5 + 3. Suppose 5*d + 31 = -o*u, 3*d + 0*d + 23 = u. Let y = d + 42. Is y a multiple of 13? False Suppose z - 15 = -2*z. Let t(o) = -o**3 - 7*o**2 + 6*o + 11. Let a be t(-8). Suppose -3 - a = -z*d. Is d a multiple of 6? True Suppose -3*n + 21 = 3*f, -3*n + 7 = n - 3*f. Is (54/n)/(2/4) a multiple of 9? True Suppose y + 549 = 5*f, 4*f - 8*f = 2*y - 428. Is f a multiple of 15? False Let r be 5 - (-1)/1*-1. Suppose 0 = c + r, -2*h - 4*c = 3*h - 74. Is h a multiple of 9? True Suppose -i = -l - 3*l + 281, 0 = 4*l + i - 279. Is l a multiple of 14? True Suppose 0 = 5*u + x + 3*x - 141, u - 5 = 5*x. Let h = 41 - u. Does 5 divide h? False Let y(g) = -g**2 - 6*g - 4. Let n be y(-5). Let s be n + (10/(-2) - -1). Does 14 divide (0 + s)/((-18)/84)? True Let o(a) = a**2. Let g(p) = 2*p - 4. Let m be g(3). Let c be o(m). Suppose -2*k + c*k = 6, l + k = 35. Does 16 divide l? True Let a be (-8)/(-3) + (-3)/(-9). Let j(c) = 5*c**2 + 4*c - 4. Let h(x) = -4*x**2 - 4*x + 3. Let l(f) = a*j(f) + 4*h(f). Does 3 divide l(-3)? True Suppose -3*r = -0*r + t + 55, 69 = -4*r + 3*t. Let c = -10 - r. Is 15 a factor of (1 - 86/c)*-4? False Let t be 2*(2 + -13 + 2). Let y = -10 - t. Suppose 3*h - 2*g = 13, -5*h = 3*g + y - 36. Is 3 a factor of h? False Suppose 185 = u + 5*i, u + 4*i = 3*u - 356. Is u a multiple of 45? True Suppose -60 = -7*d + 2*d. Let c be d/42 + 19/7. Suppose c*o + 123 = 4*k - 0*k, o = -k + 36. Does 13 divide k? False Let a(w) = 3*w**2 + 10*w - 14. Is 35 a factor of a(5)? False Let v(m) = -m**3 - 5*m**2 - 2*m - 6. Suppose -7*z - 25 = -2*z. Let s be v(z). Does 3 divide (3 - (0 + s))*-3? True Let l(n) be the third derivative of 2/3*n**3 + n**2 - 1/8*n**4 + 0 + 0*n + 1/120*n**6 + 3/20*n**5. Does 12 divide l(-9)? False Suppose 0*f + 68 = 4*f. Is f a multiple of 7? False Suppose n - 6 = v, 2*n + 2*v = 6*n - 16. Suppose 190 = 3*o + 2*q, 0 = -4*o - 3*q + n*q + 260. Suppose -o - 4 = -5*d. Is d a multiple of 7? True Let l(a) = -235*a**2. Le
{ "pile_set_name": "DM Mathematics" }
+ 2*p = -0*q - 42 for q. 10 Solve -3*c + 0*z - 12 = -3*z, 0 = 2*c - 5*z + 14 for c. -2 Solve 2*s - 2*m - 9 + 1 = 0, -5*m + 52 = 3*s for s. 9 Solve 22 = -5*d - 3*y, -2*y - 20 = 3*y for d. -2 Solve 30 = 5*d - 2*v, 0 = 4*v - 1 + 21 for d. 4 Solve 5*m - 4*n = 15, 0 = -m + 4*n + 14 + 5 for m. -1 Solve 6 = -3*s, 22*b + 4*s + 5 = 23*b for b. -3 Solve 0 = k + 3*x + 11 - 2, 0 = -k - 5*x - 15 for k. 0 Solve t - i = 8, 2*i + 9 = 3 for t. 5 Solve 0*p + 5*u + 30 = -5*p, -4*u = -6*p + 4 for p. -2 Solve 5*h - 5 = -5*o, 5*h + 15 = 5*o - 0*o for h. -1 Solve 3*a + 7 + 5 = 3*p, 0 = 3*a + p + 4 for a. -2 Solve -5*c = 4*k - 11, -10 + 1 = -4*c - 3*k for c. 3 Solve 4*s - m - 3*m - 4 = 0, 0 = -2*s + 3*m + 2 for s. 1 Solve -3*k + 10*f - 20 = 6*f, -3*k - 4*f = -20 for k. 0 Solve -19*b = -16*b - 4*l + 6, 3*b - 5*l + 9 = 0 for b. 2 Solve -2*z - 4 = -2*s, 13*z - 23 = -4*s + 12*z for s. 5 Solve -l + 3 = k, 2*k + 17*l - 14*l - 5 = 0 for k. 4 Solve -5*s + 26 = -g, -7*g - 2 = -4*g + 4*s for g. -6 Solve 4*u + u - f = -14, 3*u - 6 = -3*f for u. -2 Solve 0 = n + c - 2, -4*n + 3*c = -3*n - 10 for n. 4 Solve 10 = z + 2*z - y, 2*z + 8 = -3*y for z. 2 Solve 0 = 5*z - 2*s - 15, 40*s = -5*z + 35*s - 20 for z. 1 Solve 0 = 217*v - 216*v, -5*g - 4*v - 5 = 0 for g. -1 Solve 3*m + 5*f - 10 = 0, -6*m = -54*f + 58*f - 26 for m. 5 Solve 2*n - 3 = -5*x, n - 3*x = -0*x + 7 for n. 4 Solve -7*a - 3*h + 0*h = -13, -h = 5 for a. 4 Solve h - 4 = -v, 3*h + 4*v = 2*v + 9 for h. 1 Solve -3*p + 5 = 2*p, -2*b - 4 = 4*p for b. -4 Solve 57*h - 60*h + 6 = 0, 0 = 4*x + 4*h - 12 for x. 1 Solve 5*m + 28*s = 32*s - 46, s = -2*m - 8 for m. -6 Solve 3*h + 3*z = -6, 4*h - 2*z - 2*z = -16 for h. -3 Solve 0 = 3*y + l - 0*l, -2*y - 5*l = 0 for y. 0 Solve 16 = -4*c + 2*x + 2, x = -3*c + 2 for c. -1 Solve k + 4*k + 10 = 0, -4*r - 30 = 5*k for r. -5 Solve -d = 0, 1 = g - 0*g + 2*d for g. 1 Solve 0 = -8*f + 10*f, 4*g = 2*f + 8 for g. 2 Solve 0 = -2*g + 10, -6*c + 7*c + 3*g = 16 for c. 1 Solve -n - 5*o + 2 - 1 = 0, 0 = n + 3*o + 1 for n. -4 Solve -5*v + 2*u + 35 = 0, 5*v + 3*u + 7 = 17 for v. 5 Solve 0 = -j + 8*c - 7*c - 2, 0 = -3*j - 2*c + 19 for j. 3 Solve -3*p - s + 2 = 0, -5*p + 4*s + 4 = 29 for p. -1 Solve i - 3 = s, 2*s + 0*i = -4*i - 12 for s. -4 Solve 5*g - 11 = 2*n - 3*n, 4 = 4*n for g. 2 Solve -9 = -3*j - 4*q + q, 2*j - 2*q + 6 = 0 for j. 0 Solve 2*w = -3*b + 27 - 33, -2*w + 4*b + 22 = 0 for w. 3 Solve 4*j - 7 + 17 = -5*l, 2*l = 2*j - 4 for j. 0 Solve -7*p + 8*p = -3*x + 1, -4*p - 4*x = -4 for p. 1 Solve -4 = -4*o - 2*c, 0 = -38*c + 35*c for o. 1 Solve -2*d + 5*y + 8 = 2, -4*y = 8 for d. -2 Solve 4*s + 4 = 0, -65*s - 13 = 3*m - 67*s for m. -5 Solve 3*r = -5*x - r - 26, -12 = -4*x + 5*r for x. -2 Solve 0 = 4*j + 4*i, -4*j - 30 = 10*i - 12*i for j. -5 Solve 6*l = 2*l + 4, 0 = -v - 2*l + 2 for v. 0 Solve -8*s - 2*i - 16 = -3*s, -3*s + 5*i = 22 for s. -4 Solve -9*j + 7*j - 16 = -2*n, -3*j = -4*n + 32 for n. 8 Solve 2*p - 4*o + 8 = 0, -3*p + 7*o - 4 = 3*o for p. 4 Solve -4*j + 4*b = -52, -b + 8 - 11 = 0 for j. 10 Solve 5*a - 22 = u, 4*u + 2*a = -0*a for u. -2 Solve 2*z = -3*t - 5, 5*t + 4*z = -z for t. -5 Solve 4*b + 24*p + 2 = 21*p, 5*p + 7 = -3*b for b. 1 Solve 0*v + 5*v + 4 = -z, -3*z - v - 12 = 0 for z. -4 Solve -2*p + 8 = 0, 3*p - 7 - 3 = -t for t. -2 Solve -5*l - 10 = 0, 4*s + 9*l - 6 = 4*l for s. 4 Solve 2*d = -4*t, 4*d + 2 = -14 for t. 2 Solve a - 10 = 6*a, 2*g = -5*a - 14 for g. -2 Solve -7 = -4*y - 0*n - n, -2*n - 13 = -y for y. 3 Solve 5*n - h - 22 = 8, -3*n = 3*h for n. 5 Solve 5*v + 10 = h - 6*h, v - 5*h = 16 for v. 1 Solve 3*k - 10 = -4*u - 3, -u + 2*k - 12 = 0 for u. -2 Solve 4*n = p + 8*n + 3, -3*n = -2*p - 6 for p. -3 Solve 3*r = 2*c - 2, -r + 3 = -2*c + 5 for c. 1 Solve -3*k = -12, 5*w - 10*w - 5*k = 15 for w. -7 Solve 0 = -3*l + 2*o + 10, 63*l - 15 = 58*l + 5*o for l. 4 Solve 3 = -y - 2*t, 4*y - 2*t - 15 = -t for y. 3 Solve 0 = o, -2*l - o = -5*l - 9 for l. -3 Solve 0 = m + 4, 161*r - 159*r - 18 = 4*m for r. 1 Solve -5*b - 5 = 5*a, 0*b - 3*a = -3*b + 15 for b. 2 Solve 0 = -3*q + 15, 4*w + 5*q - 5 = -0*w for w. -5 Solve 4*f - 20 = 7*f - 4*v, -3*v + 15 = -4*f for f. 0 Solve -2*m - 16 = 5*c, -5*m + 3*c = 11 - 2 for m. -3 Solve -18*w = 2*d - 20*w + 14, 4*d - 12 = -4*w for d. -2 Solve j = -3*t - 5, 3*j - 4*t - 20 = j for j. 4 Solve 2*g - 2*d - 6 = 0, 0*g + 4*g + 5*d - 21 = 0 for g. 4 Solve 0 = 3*g + q - 11, 0 = -2*g - 3*q - 0*q + 5 for g. 4 Solve -3*d = k + 11, d + 6*k = 2*k for d. -4 Solve -4 = 5*g + 4*x, g = 2*x - 5 - 7 for g. -4 Solve 0 = x + 4*f - 5*f + 1, 0 = -2*x - 2*f + 10 for x. 2 Solve 2*j - 16*q - 7 = -15*q, -5*q - 13 = j for j. 2 Solve -4*s - 8 = 2*m - 2*s, -2*s = 5*m + 5 for m. 1 Solve 5*h + 10 = -5*s, 4*h + 13 = -5*s + 4 for s. -1 Solve 4*f = -20, 16 = -3*s + 5*s - 4*f for s. -2 Solve -s - d = -6*d + 4, -3*s - 5*d = -8 for s. 1 Solve 0 = -3*x + 6, x - 9 - 18 = -5*u for u. 5 Solve -2*x + 3 = -3*x, -u + 2*x + 8 = 0 for u. 2 Solve -18 + 5 = p + 5*m, 4*m + 2 = 2*p for p. -3 Solve -x + 3 = -l, 3*x + 47 - 41 = 0 for l. -5 Solve n - 12 = -5*b, -b = -2*b + 3 for n. -3 Solve -587 = -5*d - v - 598, -d + 4*v + 23 = 0 for d. -1 Solve -2*m + 3 = -p, 46*m = 5*p + 48*m + 27 for p. -5 Solve 5*r - 15 = 0, -3*t + 0*t - 18 = -3*r for t. -3 Solve -21*t - 20 = -26*t, 3*t + 18 = -5*q for q. -6 Solve -62*k + 11 = -60*k + 5*i, -3*k - 2*i = 0 for k. -2 Solve -3*q - 19 = 2*l, 2*q - l - 8 = 3*q for q. -3 Solve -67*m - 3*q + 5 = -66*m, 4*q - 16 = m for m. -4 Solve 2*w = -4*z - 2, -2*w = -z - 0 + 12 for w. -5 Solve -5*l + 6*l - 4*v - 7 = 0, -l - 3*v = 7 for l. -1 Solve 4*m + 4*v - 36 = 0, 6*m - 7*m - 3*v = -19 for m. 4 Solve 0 = 3*c - 5*r - 28, -c + 3*r + 16 + 0 = 0 for c. 1 Solve s - 74 = c - 70, 25 = -5*c for s. -1 Solve 8*s - 20 = 3*s, r - s + 4 = 0 for r. 0 Solve -9*g + 2*y = -16, 7*g = 4*g - y + 7 for g. 2 Solve 0 = -g + 2*c, 3*g - 4*c = 5*g + 16 for g. -4 Solve 5*r - 4*h = -9, 4*h = -r - r + 2 for r. -1 Solve 2*w + 70 = 2*m + 74, 5*m - 2*w = 8 for m. 4 Solve -3*o = -m - 8, o - 8 = -4*m + 3*m for o. 4 Solve v + 4*t = -0*v - 4, 4*v - 24 = 4*t for v. 4 Solve 0 = 4*y + n + 14, y + n = -0*n - 5 for y. -3 Solve -n + 8 = -3*n + 3*q, 4*n + 4*q - 4 = 0 for n. -1 Solve -18 = 5*o + 4*d, 5*d = -6*o + 7*o - 8 for o. -2 Solve -5*d + 3*c + 17 = 0, -37*c = -4*d - 40*c - 8 for d. 1 Solve -4*w = 2*k - 26, -5*k + 2*k + 19 = 2*w for k. 3 Solve 5*c + 3*i + 20 = 1, -5*i = -5*c - 35 for c. -5 Solve x - 6 = f - x, 0 = -4*f + 4*x - 20 for f. -4 Solve -4*x - 16 = -y, -y - 4*x = 16 - 0 for y. 0 Solve -6*x - 8 = -2*o - 7*x, -1 = 3*o - 5*x for o. 3 Solve 3*h - 5*b = 13, h + 3*b + 19 = -0*b for h. -4 Solve 9 = -3*p, -221*w - 54 = -216*w + 3*p for w. -9 Solve 0 = -4*d - 5*p + 15, 5*d + 4*p = -0 + 21 for d. 5 Solve -3*j = -4*d + 17, 5*d + 0*d = 5*j + 20 for j. 1 Solve 2*j - 5*z - 23 = 0, 0 = 2*j - 5*j + z + 2 for j. -1 Solve -a - 5 = 3*j, 2*a + 4*j = 5*j + 4 for a. 1 Solve -28 = 4*u - 5*s + 2*s, 16 = 4*s for u. -4 Solve -3*i + 17 = 4*x, -16 = -5*x + 5*i - 7*i for x. 2 Solve k - 5 = -2*q, -3*k - 7*q + 8*q + 1 = 0 for k. 1 Solve 0 = -4*a - 0*a + 5*b + 26, -5*b + 2 = 3*a for a. 4 Solve -6*h - 8 = -2*l - 7*h, 0 = -5*l - 3*h + 22 for l. 2 Solve 10*d - 5*d + 4*f = 5, 5*f + 5 = -4*d for d. 5 Solve f + 12 = -3*n, 16*f = 20*f + 2*n + 18 for f. -3 Solve 0*k + 5*k + 15 = 0, -k = -5*g - 2 for g. -1 Solve -2*i + 0 - 2 = b, i - 5*b = -23 for i. -3 Solve a + 20 = 4*m, 4*a = -3*m + 3*a + 8 for m. 4 Solve 4*t - c = -9, 3*c - 2*c = t for t. -3 Solve 0 = 3*p - 2*p + 5*h - 5, p - 2*h = -9 for p. -5 Solve 25 = -5*g + 5*k, g + 11*k + 3 = 10*k for g. -4 Solve 4*d - 3*a - 51 = -22, -3*d + 12 = a for d. 5 Solve 0 = 10*s - 5*s + 5*i + 25, -2*s + 6 = -2*i for s. -1 Solve 7*z - 2*z - 17 = -n, 5*n - 4*z = -31 for n. -3 Solve 0 = 5*m - 5*k - 29 - 11, -5*m + 22 = k for m. 5 Solve 5*s + 31 = 308*r - 305*r, 0 = 5*s - 4*r + 33 for s. -5 Solve 3*a - 6 = 3*z, -2*z - 8 = -74*a + 71*a for z. 2 Solve 2 = 2*k + 4*z, 12*z - 15*z = -5*k - 21 for k. -3 Solve 5*b + 10 = 2*z, 0*z - 5*z = 25 for b. -4 Solve -4*l + 3*j + 5 = 8*j, -4*j - 22 = -2*l for l. 5 Solve -5*h + 4*n + 40 = 0, h - 13 - 11 = 4*n for h. 4 Solve r + 3*q = -4*r + 22, q - 4 = 0 for r. 2 Solve -d + 2*w - 2 = 0, 4*w = -4*d + 7*w - 3 for d. 0 Solve -2*w + b - 5 = 0, -4*w - 368 = 2*b - 378 for w. 0 Solve -t + 6 - 9 = -h, -
{ "pile_set_name": "DM Mathematics" }
t is the first derivative of p(d) wrt d? -580*d**3 Let w(p) = -206*p - 201. Let u(s) = -208*s - 201. Let i(j) = -3*u(j) + 4*w(j). Find the first derivative of i(k) wrt k. -200 Let w(t) be the first derivative of 51*t**5/5 - 320*t**3/3 + 387. Find the third derivative of w(d) wrt d. 1224*d Suppose 15 + 15 = 6*z. Find the second derivative of -6*t**2 - 6*t**5 + 6*t**2 + 52*t + 13*t**z wrt t. 140*t**3 Let r(v) be the first derivative of -v**6/60 - v**3 + 7*v**2 + 39. Let a(s) be the second derivative of r(s). Find the first derivative of a(g) wrt g. -6*g**2 Let l = -753 + 2249. Find the second derivative of 16*j**5 - 1496 - 23*j + l wrt j. 320*j**3 Let s(l) be the third derivative of -73*l**7/105 - 151*l**3/6 - 4*l**2 + 25. Differentiate s(o) wrt o. -584*o**3 Let a(h) = 61*h**4 + h**3 + 10*h**2 - 2. Let d(z) = z**3 + z**2 - 1. Let k(c) = -a(c) + 2*d(c). What is the third derivative of k(j) wrt j? -1464*j + 6 Differentiate -241 + 0*a**2 - 173*a**2 + 3*a**2 + 2*a**3 + 63 wrt a. 6*a**2 - 340*a Suppose -1 = 40*y - 121. Let p(u) be the first derivative of 0*u**2 - 11/3*u**y - u - 10. Differentiate p(z) with respect to z. -22*z Let o = -972 - -972. Let r(b) be the first derivative of 1/3*b**3 + o*b**2 + 4 - 7*b. What is the derivative of r(k) wrt k? 2*k Let p(a) = a**3 - a**2 - 2*a. Let w be p(3). Suppose -3*h + 5*h + 4 = 2*o, 4*o = 2*h + w. Find the third derivative of r**4 - 9*r**h + 21*r**2 + 4*r**4 wrt r. 120*r Let g(l) = -564*l - 238. Let b(n) = 282*n + 117. Let o(m) = -5*b(m) - 2*g(m). What is the derivative of o(k) wrt k? -282 Let u(k) be the third derivative of -35*k**4/24 + 8*k**3/3 + 21*k**2. Differentiate u(l) wrt l. -35 Let q = 5095/6 - 849. Let j(h) be the second derivative of -q*h**3 + 0*h**2 + 0*h**4 + 0 + 1/30*h**6 + 0*h**5 - 9*h. Find the second derivative of j(d) wrt d. 12*d**2 What is the third derivative of 6*b - 5693*b**3 - 5771*b**3 - 41*b**2 + 11650*b**3 wrt b? 1116 Let f = 708 - 301. Suppose s = 2*u - 5*u + f, u - 125 = -3*s. What is the first derivative of -137*y - 3*y**3 + u*y - 2 wrt y? -9*y**2 Let z(y) = -2*y**2 + 2*y + 1. Let p(n) = -2*n**2 + 75*n - 27. Let c(h) = -p(h) + 2*z(h). Differentiate c(w) wrt w. -4*w - 71 Let z = -55 + 60. Let w(v) be the third derivative of 1/24*v**6 + 0*v**4 + 0 - 7*v**2 + 0*v + 0*v**z - 1/2*v**3. Differentiate w(c) with respect to c. 15*c**2 Let u(x) be the first derivative of x**6/24 - x**5/5 - 19*x**2/2 + 20. Let q(d) be the second derivative of u(d). What is the third derivative of q(n) wrt n? 30 Let a be (3/(-2))/((-18)/96). Let i(n) = n - 5. Let c be i(a). Differentiate -3*b**2 + 0 - 2 + c*b**2 - 12*b**4 wrt b. -48*b**3 Let y(q) be the second derivative of 11*q**5/20 + 10*q**4/3 + 33*q. Find the third derivative of y(x) wrt x. 66 Let h(i) = -31*i + 31. Suppose 3*o - 3 = 2*b, 5*o - o - 2 = 3*b. Let m(g) = 8*g - 8. Let p(w) = b*h(w) + 22*m(w). Find the first derivative of p(j) wrt j. -10 Let g(h) = h**4 + 2*h**3 + h**2 + h + 1. Let a(p) = 35*p**4 - 12*p**3 - 6*p**2 - 6*p + 386. Let z(s) = a(s) + 6*g(s). What is the derivative of z(n) wrt n? 164*n**3 Let i = 85/12 + -55/12. Let g(f) be the second derivative of 0 + 4/3*f**3 + 7*f + i*f**2. Differentiate g(z) with respect to z. 8 Let d(a) be the third derivative of 443*a**5/30 + 53*a**4/8 + 11*a**2 + 2. What is the second derivative of d(b) wrt b? 1772 Let d(y) = 3*y - 4. Let a be d(2). Suppose -z + 5*z = 4*n + 8, -5*z + 16 = -2*n. What is the third derivative of 2*t**3 + 17*t**a - 14*t**2 + n*t**3 wrt t? 24 Let t(f) = f**2 + 3*f - 1. Let x be -3 + 4/(0 + -4). Let j be t(x). Find the first derivative of 5*h**3 - 3*h**3 + j*h**3 + 1 wrt h. 15*h**2 Let q(r) be the second derivative of 5*r**8/84 - 2*r**4/3 - 3*r**2 - 16*r. Let k(m) be the first derivative of q(m). Find the second derivative of k(p) wrt p. 400*p**3 Let h(m) be the third derivative of 0*m**4 + 11/60*m**5 + 10*m**2 + 2/15*m**6 + 0*m**3 + 0 + 0*m. What is the third derivative of h(p) wrt p? 96 Let o = 2162 - 4315/2. Let n(r) be the first derivative of 11 + 0*r**3 + 3/4*r**4 + 0*r - o*r**2. What is the second derivative of n(g) wrt g? 18*g Let p(f) = -117*f + 157. Let n(s) = -59*s + 77. Let k(h) = 13*n(h) - 6*p(h). What is the first derivative of k(g) wrt g? -65 Let v(w) = 3*w**3 - 6*w**2 + 87*w + 4. Let x(p) = -2*p**3 + 5*p**2 - 88*p - 3. Let c(b) = 3*v(b) + 4*x(b). Find the second derivative of c(l) wrt l. 6*l + 4 Find the first derivative of 2*u**2 - 7*u**4 - 26 - 47*u**4 + 93 + 250 wrt u. -216*u**3 + 4*u Let j(p) be the second derivative of -1/6*p**7 + 0 + 0*p**5 + 14*p + 7/6*p**3 + 0*p**4 + 0*p**6 + 0*p**2. Find the second derivative of j(f) wrt f. -140*f**3 Let p be 1 + -3 - (1 + -4). Let b(w) = -p - 2 + 1 + 1. Let y(g) = -2*g + 6. Let u(r) = -2*b(r) - y(r). Find the first derivative of u(x) wrt x. 2 Find the second derivative of -225*z**4 + 170*z - 17*z**3 + 17*z**3 + 59*z**4 wrt z. -1992*z**2 Let u be (8/(-2))/(-4)*3. Find the second derivative of y - 6*y + 11*y + 9*y**u wrt y. 54*y Let d(n) be the second derivative of 11*n**8/28 + n**4/4 + 8*n**2 - 28*n. What is the third derivative of d(v) wrt v? 2640*v**3 Let f(k) be the third derivative of 0 - 2/15*k**6 - 1/6*k**4 + 0*k**3 - 9*k**2 + 0*k**5 + 0*k. What is the second derivative of f(g) wrt g? -96*g Suppose -4*u = 21 - 53. What is the derivative of 10*n - 13 - 10*n - u*n + 2 wrt n? -8 Find the first derivative of -39*t + 3 - 16 - 2 - t wrt t. -40 Suppose 2*v - 4*t + 10 = 0, -3 = 2*v - t - 2. What is the first derivative of v + 5 - 5 - 5*q**2 wrt q? -10*q Find the second derivative of -317 + 83*o**2 - 319 + 47*o + 636 wrt o. 166 Let b(u) = u**3 + 2*u**2 - u + 9. Let r be b(-3). Find the third derivative of -3 + r - 32*q**2 + 20*q**2 + 20*q**4 wrt q. 480*q Find the third derivative of -3*u**3 + 47*u**2 + 41*u**2 - 39*u**4 + 19*u**2 + 42*u**2 - 22*u**2 wrt u. -936*u - 18 Let v(n) be the first derivative of -n**4/2 + 3*n**3 + n**2 + 34*n + 143. What is the second derivative of v(d) wrt d? -12*d + 18 Find the second derivative of 112*k + 22*k**2 + 37*k**2 + 91*k**2 - 25*k**2 + 19*k**2 wrt k. 288 Let v be 8 + (-2 - -1)/(2/4). Find the second derivative of g**5 + 38*g + v*g**4 - 14*g - 6*g**4 wrt g. 20*g**3 Let n(z) be the first derivative of -213*z**4/4 - 138*z**3 - 216. Find the third derivative of n(f) wrt f. -1278 Let a(m) = 2*m**2 + 9*m + 6. Let h be a(-4). Suppose 4*c + c - 20 = h*x, -4*c - x = -3. What is the third derivative of 4*n**5 - 3*n**2 - 3*n**c - n**5 wrt n? 180*n**2 Suppose 0 = -4*w - 253 + 29. Let m be 18/7 + 32/w. Find the third derivative of 5*u**6 - u**6 + 0*u**6 + 2*u**2 + 0*u**m wrt u. 480*u**3 What is the second derivative of j + 4 - 1900*j**2 + 472 - 7 + 1412*j**2 wrt j? -976 Let f(j) be the second derivative of 13*j**8/28 + j**7/21 + j**4/12 - 10*j**2 - j + 13. What is the third derivative of f(w) wrt w? 3120*w**3 + 120*w**2 Let a(p) = p**3 + 2*p**2 - p. Let g be a(-2). Suppose q + 0 = g. Differentiate -q*x**2 - 6*x**2 + 19 - 16 with respect to x. -16*x Let a(c) = 1. Let o(g) = 124*g**5 - 26*g - 13. Let l(t) = 5*a(t) + o(t). What is the second derivative of l(p) wrt p? 2480*p**3 Let o = 3170/1461 + -3/974. Let v(h) be the second derivative of 0 + 5*h + 0*h**2 - 1/6*h**4 + o*h**3. What is the second derivative of v(l) wrt l? -4 Let y(x) be the first derivative of -25*x**4 - 2*x**3/3 - 4*x**2 + 46*x + 546. Find the second derivative of y(i) wrt i. -600*i - 4 Differentiate -18*s + 4 - 7*s - 6 - 39 wrt s. -25 Let l = -16 - -23. Find the second derivative of -9*k**3 - 2*k + 11*k + l*k - 3*k wrt k. -54*k Let a(o) be the first derivative of -o**6/30 - 5*o**4/8 + 5*o**2 - 9. Let f(n) be the second derivative of a(n). Find the second derivative of f(z) wrt z. -24*z What is the second derivative of 528*m**4 + 38*m**3 - 296*m - 38*m**3 + 3*m**2 - 519*m**4 wrt m? 108*m**2 + 6 Let z(g) be the third derivative of 229*g**4/8 - 129*g**3 + 3*g**2 + 20. Differentiate z(u) wrt u. 687 Let m(u) = 264*u**3 + 4*u**2 - u. Let f(p) = 264*p**3 + 5*p**2 - 2*p. Let s(b) = 5*f(b) - 6*m(b). What is the third derivative of s(k) wrt k? -1584 Let j = 13 + -13. Let x(l) = -2*l - 2*l + 1 + j + 0. Let s(y) = 3*y. Let g(a) = 3*s(a) + 2*x(a). Differentiate g(p) with respect to p. 1 Let c be ((-5)/(-10))/(2/(-72)). Let z = 19 + c. Find the
{ "pile_set_name": "DM Mathematics" }
= m + 3*u, 2*m + u = 0. Suppose -b - v + 15 = 4*v, -b + 2*v = -1. Suppose 7 = b*o - 18. Solve o*z + 10 = -2*l + l, 0 = -m*l - 5*z - 10 for l. 0 Suppose 2*k = 6*k - 32. Let w be 36/k + (-9)/6. Solve -3*m + 3*n + 2*n - 11 = 0, -13 = -w*m - n for m. 3 Let m be (-3 + 0 + 3)/3. Suppose -4*r - 12 + m = 0. Let q(h) = -9*h. Let c be q(r). Solve 5*b + 2*p - c = 0, -4*b - 5*p + 8 = -17 for b. 5 Suppose 15 = 2*l - 5. Suppose -4*t + 6 + l = 0. Solve -w = -3*y - 2*w - 3, 4*y - 5*w = -t for y. -1 Suppose 0*m = 4*m + 24. Let z = m + 9. Suppose 0 = 2*o + z*o - 85. Solve 2*d + 2*b = 18, 5*d - 2*d + b = o for d. 4 Let p(c) = -c**2 - 5*c - 4. Let d be p(-3). Let a be d/2*(0 - 0). Solve 4 = x, -3*i + 3*x - 6*x + 9 = a for i. -1 Let h(u) = -4*u. Let w(j) = j + 6. Let n be w(-7). Let d be h(n). Solve -y = 4*v + 22, -3*y - d = -3*v - 13 for v. -5 Let t be (-64)/(-3) - (-28)/(-21). Solve y + 3*a = 5, 4*y + 5*a = -0*y + t for y. 5 Let c = 0 + 8. Suppose -5*k + 0 = z - 10, 4*k = -2*z + c. Solve 0 = 3*o - 2*n + k, o + n - 2 = -6 for o. -2 Suppose -6*j = -j + o - 24, 5*j - 4 = 4*o. Suppose 0*a - a + 12 = 0. Solve -5*l + 8 + 3 = j*y, 4*y = -4*l + a for l. -1 Let s(g) be the second derivative of g**3/6 + 8*g**2 + 6*g. Let w be s(-14). Solve -3*p - 9 = 3*z, 2*z + 0*p - w*p - 2 = 0 for z. -1 Suppose 21 + 3 = 3*z. Suppose -3*r + 1 = -z. Solve 5*v = r*s + 2*s, -s + 2*v = 3 for s. 3 Let p(k) = 3*k + 38. Let s be p(-11). Solve x = -5, 9 + 16 = f - s*x for f. 0 Let q be (-222)/(-42) + (-4)/14. Solve -t = -5*m + 4, q*m - 3*m = 2 for t. 1 Suppose -14*n + 6*n = -16. Let b = -14 - -34. Solve -n*t + b = -4*m, 0 = -4*m - 3*t - 9 - 1 for m. -4 Let d be (-2)/2 - (-2 - 2). Suppose -4*o - 8 = -2*y, -30 = 3*y - 4*o - 38. Let g be (-2)/4 - 78/(-4). Solve 0*a - d*l = -2*a + g, y = -a + l + 8 for a. 5 Let k be (2/(-8))/(2/(-24)). Suppose 2*n + 2*i = 6, -k*n = -n - 3*i - 11. Solve -n*a - 16 = -5*y, -3*a - 12 = 2*y - 0*y for a. -4 Let q(j) = -j**2 - 21*j - 17. Let f be q(-20). Solve -3*m = 2*c + 2*m + f, -4*c - 4*m = 12 for c. -4 Let p be (-8)/(-2)*(-3)/(-2). Solve -4*a + 4*q + 26 = -p, q = -a - 2 for a. 3 Suppose 2*j - 7 = -1. Suppose -4*n - 18 + 53 = -3*h, -4*n = -h - 25. Solve j*u + 4 = v - 9, -2*v = n*u + 29 for v. -2 Suppose -5*d - 24 = g - 2*g, 5*g + 5*d + 30 = 0. Let a be (0/(-1))/(2 + g). Solve -17 = -a*j - j + 4*y, 5*j + 11 = -4*y for j. 1 Let z be ((-5)/(-2))/((-3)/(-6)). Let n(y) = y**2 + 6*y + 7. Let c be n(-5). Let p be (0 - 1)/((-1)/c). Solve d - z*s - 8 = 0, -3*d - d + p*s = 4 for d. -2 Suppose 5*o - 10 = -2*b, -o + 5*b = 4*o - 45. Solve 4*t + 12 = o*c, 2*t = -3*c - 0*c - 11 for c. -1 Let n(v) = -v**2 - v + 4. Suppose 4*g = -4 + 20, 2*f - 2*g = -8. Let y be n(f). Suppose -2*a + a + y = 0. Solve -h + 1 = -a*c, c - 2*h = -h - 4 for c. 1 Let d = -7 - -9. Solve -d*z - 2*z = 4, k + 3*z - 2 = 0 for k. 5 Suppose -4*q - 2*z = 206, 3*z = -4*q - 2*z - 203. Let c = q + 74. Solve 0 = m + 5*w - c, w - 4 = 3*m + 2*w for m. -3 Suppose 8 - 6 = m. Solve 5*y + 3*i = 34, -2*y + m*i + 3*i = 5 for y. 5 Suppose -24 = -4*f + 32. Let w be 3/2*(f - 0). Solve 2*q = s - 3*s - 2, 3*s - w = 3*q for s. 3 Let q be 22 + (-6)/(3*4/6). Solve -5*b + q = 3*k, 4*b - 3*b - 3 = -k for k. -2 Let h = 12 - 19. Let p = 12 + h. Solve 0 = 3*w - p*b - 31, 3*w + b - 3*b = 16 for w. 2 Suppose 0 = 9*x - 6*x + 4*q + 5, 3*x - 5*q - 40 = 0. Solve 0*r = 5*j + 2*r + 10, 8 = -4*j + x*r for j. -2 Suppose -4 = 2*c - 2, -5*c = 2*i - 19. Suppose -10 = -5*o - 3*z, 3*o + 3*z - 4 - 2 = 0. Solve -o*h + 3*a + i = -5*h, -4*a = 8 for h. -2 Suppose -w + 0*w + 24 = 0. Solve 5*y + t - 1 = -w, -t + 2 = 0 for y. -5 Let x(h) = -2*h - 2. Suppose -2*j = -5*v + 2*v - 4, 2*j + 28 = -5*v. Let s be x(v). Suppose s*q - 88 = 2*q. Solve -3*p - 2*g + q = -0*p, -5*p + 5 = -3*g for p. 4 Let g be (-96)/(-30) + (-2)/10. Suppose -15 = -4*d + 13. Let z = d - g. Solve -5*l + a + 0 = -3, 0 = -5*l - z*a - 12 for l. 0 Suppose -9 = -4*k + 7. Let g = -34 + 57. Let u be 13 + 1 - 4/(-2). Solve -b + g = 4*v + 7, k*v = 4*b + u for b. 0 Suppose 2 = y - 3. Suppose 2*z = r + 2 + 2, y*z + 5*r = 40. Suppose 2*l + 12 = 5*l. Solve 0*m + 5*k + l = m, m + 5*k - z = 0 for m. 4 Let d = -55 - -96. Solve -z - 3*z + 5*l - d = 0, -l = -5*z - 25 for z. -4 Let b = 29 + -29. Solve b = 5*g - 3*r - 14, -r = -g + r + 7 for g. 1 Let p be 1 + (-1 - 2 - -2). Suppose 5*q + 1 - 16 = p. Solve -4*g - 5*v = -23, v = q*g - v for g. 2 Let u(r) = -r**2 + r + 13. Let m = -2 - -2. Let k be u(m). Suppose 0 = -5*t - 3 + k. Solve -4*j + 8*j = -2*c, -5*j - t = 2*c for c. 4 Suppose -4 + 0 = -2*u. Solve -5*y - 5 = 5*q, -5*y - u*q = -3*q - 19 for y. 3 Let c = -4 - -2. Let t be (c/6)/((-2)/18). Let n be 8/t - 4/(-12). Solve 4*d = -n*x - 1, -2 = -2*x - 3*d - 4 for x. 5 Let h = 32 - 7. Solve 2*m + 20 = -4*w, 2*m - 5*w = -2*m + h for m. 0 Let q(t) = 6*t - 16. Let g be q(3). Solve 4*n - u = -15, n + g*u - 9 = -2*u for n. -3 Suppose 0 = 2*v - 0 - 2. Solve 2*m = 2*u + v - 7, 0 = -m - 5*u - 15 for m. -5 Suppose 2*m = 37 + 3. Let s(k) = -k**3 + 20*k**2 - 18*k - 17. Let u be s(19). Solve 5*p = -m, u*p + 3 + 6 = l for l. 1 Let g be 3*8/12 + 1. Suppose -g*u - 8 = -5*u. Solve s + 5*d - 12 = 11, 0 = -5*s - u*d + 31 for s. 3 Let w(j) be the second derivative of 1/6*j**4 + 0 + j - 2/3*j**3 + j**2. Let p be w(3). Solve -5*t + 35 = -5*c - 0*t, 0 = -2*t + p for c. -3 Let h = -84 + 87. Solve 4*z - 5*r = 8*z - 12, -h*z = 5*r - 9 for z. 3 Let a = 13 - 11. Solve -6*q + 3*q + 2 = -u, a*u = 2*q + 4 for q. 2 Suppose -3*c + 7 + 17 = -4*l, -4*c + l = -32. Solve -c = 3*x + 5*q, 2*x + 0*q - 3*q = 1 for x. -1 Let l be (-2)/5 - 129/15. Let z = l - -13. Solve 0*r + r = -u, -z = -r for u. -4 Let n be (-2 - (1 - 1)) + 4. Suppose 0 = t - 3*o - 2, n*t - 5 - 7 = -2*o. Solve -t*y + y + 1 = -i, 5*y - 5*i - 5 = 0 for y. 0 Let z = 182 - 176. Solve z = -3*u - 5*t - 9, t = u + 5 for u. -5 Let u = -4 + 8. Suppose 11 = u*q - 5. Suppose 5*g = h - 12, 2*g - 3*g = -q*h + 10. Solve -25 = -5*x - v, 0*x = h*x - 3*v - 10 for x. 5 Let o(f) = f - 1. Let x be o(4). Suppose x*z + 4 = -4*a, -z + 24 = -3*a + 8. Solve 5*b + 2 = -4*p - 3, -2*p + 2 = z*b for p. -5 Suppose 3*z + 26 = 2. Let k be (-1 + -3)/z*6. Solve -4*h = 2*v - 8, 4 = k*h - h + 3*v for h. 2 Let w(r) = -r**2 - 8*r. Let i be w(-7). Suppose 0*a + i = a. Solve 3 = d - a*s + 4*s, 9 = 3*d - 3*s for d. 3 Let s = 269 + -157. Suppose -s = u - 5*u. Let x = u - 16. Solve -3*h + 7 + 2 = -4*w, -4*h + x = -3*w for h. 3 Let y be (34/3)/((-36)/(-54)). Let v(g) = -3*g + 1. Let l be v(-1). Solve 0 = -l*p + 5*d - y, 2*d = -2*p - d - 3 for p. -3 Let d(y) = -y**2 - y + 4. Let s be d(3). Let o = s + 18. Let r be 6/o - 68/(-20). Solve r*i - 4*q = i - 13, 2*i + 2 = q for i. 1 Let c(a) = -a**2 - 4*a + 1. Let l be c(-3). Let b = 8 - l. Solve 2*y + 2*r - 9 = -3, -4*y + 12 = -b*r for y. 3 Let p be 0/1 + 3*2. Let a be (0 - 3)/(p/(-4)). Let d = -198 - -210. Solve -4*t = -q - a*q - d, 12 = -3*q + 5*t for q. -4 Let o(c) = c - 11. Let x be o(8). Let a(g) = -g**2 - 2*g + 5. Let i be a(x). Solve 0 = -i*r + 6, 2*m - r - 1 = -2*m for m. 1 Let z be ((-96)/(-15))/(((-4)/(-10))/1). Let g(v) = -v + 1. Let s be g(-2). Solve 2*l + 5*n = 14, -2*l = s*l + 3*n - z for l. 2 Let c(b) = -b**2 - 6*b + 7. Let u be c(-6). Let o = 12 - u. Solve 0 = 4*i, o = 5*v - 5*i + 25 for v. -4 Let p be (-27)/12 - (-1)/4. Let u be 24 - 0*p/(-2). Solve -3*f = 2*f - i - 21, -5*f + u = -4*i for f. 4 Suppose -h - h = 2*j - 14, 3*j = -h + 15. Solve -3*f + 5*p + 24 = 5, -6 = h*p for f. 3 Let y = -48 + 53. Solve 5*d + 15 = u + 3*u, -y*u + d = -3 for u. 0 Let t(w) = -5*w - 5. Let z be t(9). Let p be (z/15)/((-1)/3). Suppose 2*v = 8 + p. Solve v*d + 5 = 4*d, 5*o + d - 4 = 0 for o. 1 Let t be -14 - -12 - (-10)/1. Solve 7 = d + 4*y - t*y, 14 = 5*d + y for d. 3 Suppose 6*r = 3*r + 45. Solve -5*t + 2*k - r = 0, 2*t - 5*t - 5 = -2*k for t. -5 Let o(y) = y + 3. Let b be o(0). Solve -5*h = -2*j - 6, 0*h - j - b = 3*h for h. 0 Let l(f) = f - 4. Let h be l(5). Let r be (-1)/1 + h - 0. Solve 2*d = 4*g, r*g = 3*d - 5*g + 1 for d. -2 Suppose -5*o + 15 = -0*o. Suppose -5*d = -0*d - 30. Suppose -12 = 2*b + 4*u, -b - 9 = d*u - o*u. Solve -4*i - q - 23 = 4*q, b = -4*q - 12 for i. -2 Suppose a - 1 = -0. Let z(j) = 4*j - 1. Let i be z(a). Let v(s) = -5*s**3 - 2*s**2 + 1. Let t be v(-1). Solve -i*m
{ "pile_set_name": "DM Mathematics" }
second smallest value? (a) 2 (b) 5 (c) u a Let v = 414.7 + -415. What is the second smallest value in -2/15, v, -0.37? v Let g(s) = -41*s - 77. Let y be g(-2). Which is the smallest value? (a) y (b) -11 (c) 0 b Let p = 82 - 1556/19. Which is the biggest value? (a) 0.5 (b) p (c) 1.9 c Let k = 7718/27 + -286. Let x = 5/27 - k. What is the smallest value in x, -0.4, 0? -0.4 Let f = 345 + -1036/3. Let n = 1.03 + -1. Which is the biggest value? (a) f (b) -4 (c) n c Let u(j) = -j**3 + 8*j**2 + 12*j - 30. Let d be u(9). Let c be 3/6*(d - -1 - -10). What is the second biggest value in -1/2, c, -5/12? -5/12 Let c = -48/95 - -2/5. What is the third biggest value in c, 3/10, 2? c Suppose 3 = -2*a - 7. Let o(f) = 4*f**3 - 2*f**2 - 3*f + 1. Let s be o(-1). Let v be s + (-5)/20 + 3. What is the second biggest value in v, a, -4? -4 Let g = -1.52 + 1.52. What is the fourth biggest value in g, 5, -0.2, 1? -0.2 Let y = 1083 - 1082. Let g = -2.5 + 2. Which is the fourth biggest value? (a) -4/5 (b) y (c) -11 (d) g c Let k be (-10)/(-4) - 2/4. Suppose 0 = -2*q + 3*g + 147, q - 109 = g - 36. Let d be q/(-28) - 8/(-4). Which is the second biggest value? (a) 3 (b) k (c) d b Let x = 1.3 + 2.7. Let w = -37 + 37. What is the second smallest value in -5, w, x? w Let n be 0 + 1 - 25/5. Let p = 16 - 15.93. Let m = -0.13 - p. Which is the second biggest value? (a) n (b) m (c) 2 b Let g = 1061 + -901.2. Let l = g + -160. What is the second smallest value in 0.5, l, 0.63? 0.5 Let u = -1752 + 1709. What is the fourth smallest value in -0.1, -1, u, -1/8? -0.1 Let x = 6.43 - 5.2. Let j = x - 1.23. Let h be 1/(-5) - 2/(-5). Which is the smallest value? (a) h (b) j (c) 4 b Let k = 0.22 - 0.02. Let h = 7/2 - 55/14. Which is the third smallest value? (a) h (b) k (c) -1/9 b Let k be (-455)/52 + (2 - -7). What is the smallest value in k, -1, -2? -2 Let j = 4 - 17. Let c = -12.9 - j. Let u = -2 - -2.05. What is the third biggest value in -4, c, u? -4 Let j = -5.026 - -0.026. Let f = -1 + 1.5. Let h = -58 - -58.08. What is the biggest value in f, j, h? f Let j = -65 - -32. Let s = j - -35. Which is the third smallest value? (a) -1/3 (b) 0.1 (c) 4/9 (d) s c Let h be (-6)/(-4) - 39/(-52) - 1. What is the third biggest value in -1/4, h, -1? -1 Let g = -0.1 + 0.14. Let h = -0.2458 + 0.0458. What is the biggest value in g, -5, h, -0.1? g Suppose 0 = -4*j + 4*x - 12, -5*j = 6*x - x - 15. Let s = 425/4 - 107. What is the second biggest value in s, j, 1? j Let v = -66 - -61. What is the third smallest value in v, -636, -3? -3 Let d be 3/(-2)*(-8)/6. Let z = 364 - 361. Which is the second biggest value? (a) z (b) 2/7 (c) d c Let l = 3 - 2. Let o = 0 - l. Let b = 1.9877 + 0.0123. What is the biggest value in -0.5, o, b? b Let r = 29 - 25. Suppose -2*v - p + 34 = r, 2*p + 60 = 4*v. Let z be (-6)/8*5/v. Which is the second smallest value? (a) -0.01 (b) z (c) 1/3 a Let f = -116.5 + 116. What is the biggest value in 0.1, f, 0? 0.1 Let d = 0.2 - -2.8. Let t = -8 - -5.7. Let p = 2.2 + t. Which is the third smallest value? (a) p (b) 0 (c) d c Suppose o - 4*o = 9. Let u be ((-6)/(-36))/((-1)/o). Let p = 0.35 - 0.45. Which is the second smallest value? (a) p (b) -0.4 (c) u a Let g = -8 - 37. Let n = g - -44.5. Which is the third biggest value? (a) 1/4 (b) n (c) 0.4 b Let s = 30.3 - 30. Let p = 0.7 + s. Which is the second biggest value? (a) p (b) -1 (c) 5/2 a Let q = -0.281 - -6.281. What is the second biggest value in q, -0.1, 2/9, 1? 1 Let s be 3003/(-805) - -4 - (-2)/(-5). Which is the biggest value? (a) s (b) -5 (c) 0 c Let j be (2 + 12/(-8))*12/(-15). Which is the second biggest value? (a) -2/17 (b) j (c) 3.2 a Let t be -5 + 72/15 + 2/6. What is the smallest value in -1, -2, -20, t? -20 Let c = -249.02 - -249. What is the third smallest value in 0.2, c, -2? 0.2 Let g = 8 - 30. Let i = -41 - g. Let t = -23 - i. Which is the third biggest value? (a) t (b) -5 (c) 1/5 b Let m = 2 + -3. Let x = 3 - m. Let j(z) = -z**2 - 32*z - 5. Let r be j(-32). Which is the second biggest value? (a) -6 (b) x (c) r c Let a = -164.2 - -163.7. Let y = -21/37 - 1/259. What is the third smallest value in a, 0.5, y? 0.5 Let o = -0.34 + -21.66. Let y = -32 - -12. Let t = y - o. What is the third smallest value in -0.5, t, -2? t Let c = -889/4 - -222. What is the second biggest value in 3/5, 2, -4, c? 3/5 Let z be (-4)/(-5) - 1379/(-70). What is the third smallest value in 2/11, 0.4, z? z Let t(w) = 8*w + 43. Let f be t(-6). Let h be 46/10 + (f - 3/(-3)). Which is the third biggest value? (a) h (b) 0.4 (c) -2 c Let y = -32.8 + 45.8. What is the second smallest value in -8, y, -0.1? -0.1 Let p be ((-955)/14)/5 + 2. Let k = p + 23/2. Let r = -0.1051 - 0.2949. Which is the biggest value? (a) 0.1 (b) k (c) r a Suppose -5*p - p = 12. Let q(h) = -3*h**2 - 1. Let g be q(1). What is the smallest value in p, g, 2/21? g Let q be ((15/2)/5)/4. Let w = 18 + -17.97. What is the third biggest value in q, -1, w? -1 Let h = 52 + -52. Let d be -1 + 0 + (-4674)/(-21). Let x = -222 + d. What is the biggest value in h, -0.4, x? h Let z = 5 + -21/4. Let p = -6.4 - -6. Let l = -99/92 - -15/46. Which is the second biggest value? (a) p (b) z (c) l a Let d be (7972/(-44))/(-1) - -2. Let h = 183 - d. Let k = 1.6 + 1.4. Which is the smallest value? (a) k (b) 3/2 (c) h c Let l = -0.57 - 0.43. Let f = -15.2 + 15.4. Which is the biggest value? (a) 0.06 (b) -2 (c) f (d) l c Let d = -28.7 + 32.7. What is the second smallest value in -3, -2, -10, d? -3 Let n = -2.2 + 4. Let d = 2 - n. Let o be ((-4)/(-6))/(100/(-750)) - -4. What is the third biggest value in -2, d, o? -2 Let b = -0.51 + 0.46. Let v = b - -3.05. What is the third smallest value in v, -3, 4? 4 Let d = 0.6 + -0.1. Let r = 0.0589 - -0.1411. What is the second biggest value in -0.07, d, r? r Let b = 0.2 - 0.5. Let l be (30/35)/(33/7). What is the second biggest value in -10, l, 0.3, b? l Let u = -12 - -17. Suppose 2*t - t = 5*g - 40, g + u*t = 8. Let o be (-4)/g - (-13)/22. What is the second smallest value in o, 0, 1/6? o Let w be (2/4)/((-2)/20). Let l = 0.45 - 0.64. Let h = -0.29 - l. What is the smallest value in h, w, 2? w Let l = 237.86 - 238. Which is the second biggest value? (a) -2 (b) 5 (c) l c Let w = 637 - 636.85. What is the second smallest value in 1, w, 4, -3? w Let j = -238 - -248.7. Let p = -11 + j. Let k = -21 - -16. What is the second smallest value in k, 2/11, p? p Let x = 28 - -19. Let w = x - 46.7. Suppose 0 = -2*n + 4*n + 4. Which is the third smallest value? (a) -1/3 (b) w (c) n b Let u = 3 - 4. Let p = 1947.7 - 1947.5. Which is the smallest value? (a) u (b) p (c) 2/9 a Let o = 24.2 + -5.1. Let f = o - 19. What is the fourth smallest value in f, 1, -2/9, 1/4? 1 Let h(z) = z**3 - 3*z**2 - 4*z + 2. Let w(x) = -3*x - 11. Let q be w(-5). Let o be h(q). Which is the smallest value? (a) -3 (b) o (c) 1 (d) -1 a Suppose -4*v = 672 - 40. Let x = -469/3 - v. Suppose q + q + 12 = 3*o, o - 8 = 2*q. Which is the second biggest value? (a) 0 (b) x (c) q a Let w = 3 + 2. Let c be ((-8 - -15) + -10)*1/6. What is the biggest value in w, c, -2/5? w Suppose 0*r - 3*h = -3*r - 3, 0 = 4*h. Let v = -105 + 109. Which is the second biggest value? (a) r (b) v (c) -0.4 c Let x be 0 - -1 - (-2)/(-8). Let h = 142393/85434 + -1/28478. Which is the third biggest value? (a) h (b) 0.07 (c) x b Let q = -17.31 + -0.29. Let o = q - -33. Let p = o - 15. Which is the smallest value? (a) -3 (b) p (c) -2 a Suppose -s - j = -2*s + 2, 3*j = 0. Let p = -1.57 + 1.5. Let y = p + -0.03. Which is the second smallest value? (a) y (b) 0.2 (c) s b Let s = -1169 + 1059. Which is the smallest value? (a) 1 (b) s (c) 2 (d) -1 b Let y = 4 - 0. Let l = -7 - -3. Let g be (l/10)/(1/(-5)). Which is the smallest value? (a) -0.5 (b) y (c) g a Let g = -186 + 181. What is the fourth smallest value in -3, -1, g, 1? 1 Suppose 0 = -20*v + 14*v - 18. Which is the biggest value? (a) v (b) -2/5 (c) 7 (d) -0.3 c Let y = -0.0045 + -0.2955. Which is the second biggest value? (a) -2/9 (b) y (c) 33 a Let n = 445 + -441. Which is the third biggest value? (a) 64 (b) -4 (c) n b Let u be 1*(-2 + 4 - -3). Let r = -0.5 + -2. L
{ "pile_set_name": "DM Mathematics" }
f 1694 to the nearest integer? 41 What is the square root of 1273 to the nearest integer? 36 What is the cube root of 21074 to the nearest integer? 28 What is the cube root of 3302 to the nearest integer? 15 What is 265 to the power of 1/3, to the nearest integer? 6 What is the third root of 6196 to the nearest integer? 18 What is the eighth root of 41707 to the nearest integer? 4 What is 1066 to the power of 1/3, to the nearest integer? 10 What is 16718 to the power of 1/4, to the nearest integer? 11 What is the fourth root of 29908 to the nearest integer? 13 What is 12214 to the power of 1/2, to the nearest integer? 111 What is 2022 to the power of 1/8, to the nearest integer? 3 What is the cube root of 4473 to the nearest integer? 16 What is the square root of 3646 to the nearest integer? 60 What is the fifth root of 1468 to the nearest integer? 4 What is 6211 to the power of 1/4, to the nearest integer? 9 What is the square root of 1807 to the nearest integer? 43 What is 358 to the power of 1/2, to the nearest integer? 19 What is 81766 to the power of 1/9, to the nearest integer? 4 What is the third root of 8868 to the nearest integer? 21 What is 11590 to the power of 1/2, to the nearest integer? 108 What is the cube root of 4228 to the nearest integer? 16 What is 3772 to the power of 1/2, to the nearest integer? 61 What is 1003 to the power of 1/8, to the nearest integer? 2 What is 23127 to the power of 1/10, to the nearest integer? 3 What is the cube root of 3678 to the nearest integer? 15 What is the cube root of 1188 to the nearest integer? 11 What is 1731 to the power of 1/6, to the nearest integer? 3 What is the square root of 3089 to the nearest integer? 56 What is 94484 to the power of 1/4, to the nearest integer? 18 What is the sixth root of 31064 to the nearest integer? 6 What is the square root of 88510 to the nearest integer? 298 What is the fourth root of 10604 to the nearest integer? 10 What is 6790 to the power of 1/3, to the nearest integer? 19 What is 293 to the power of 1/2, to the nearest integer? 17 What is 3941 to the power of 1/9, to the nearest integer? 3 What is the seventh root of 8288 to the nearest integer? 4 What is 235 to the power of 1/2, to the nearest integer? 15 What is 28597 to the power of 1/4, to the nearest integer? 13 What is the cube root of 9958 to the nearest integer? 22 What is 2409 to the power of 1/3, to the nearest integer? 13 What is the cube root of 8236 to the nearest integer? 20 What is the seventh root of 7913 to the nearest integer? 4 What is the tenth root of 465 to the nearest integer? 2 What is 22586 to the power of 1/3, to the nearest integer? 28 What is the square root of 8399 to the nearest integer? 92 What is the third root of 11795 to the nearest integer? 23 What is the square root of 1170 to the nearest integer? 34 What is the cube root of 15207 to the nearest integer? 25 What is the third root of 384 to the nearest integer? 7 What is 20670 to the power of 1/10, to the nearest integer? 3 What is the square root of 1607 to the nearest integer? 40 What is 4036 to the power of 1/4, to the nearest integer? 8 What is the cube root of 1932 to the nearest integer? 12 What is the square root of 772 to the nearest integer? 28 What is 3380 to the power of 1/3, to the nearest integer? 15 What is the fifth root of 9601 to the nearest integer? 6 What is the square root of 2526 to the nearest integer? 50 What is the fifth root of 5665 to the nearest integer? 6 What is 4489 to the power of 1/4, to the nearest integer? 8 What is the square root of 11524 to the nearest integer? 107 What is the third root of 4423 to the nearest integer? 16 What is 644 to the power of 1/7, to the nearest integer? 3 What is the square root of 7573 to the nearest integer? 87 What is the sixth root of 673 to the nearest integer? 3 What is 10026 to the power of 1/5, to the nearest integer? 6 What is 83875 to the power of 1/2, to the nearest integer? 290 What is the square root of 19971 to the nearest integer? 141 What is 6467 to the power of 1/3, to the nearest integer? 19 What is 854 to the power of 1/6, to the nearest integer? 3 What is 2462 to the power of 1/8, to the nearest integer? 3 What is 3827 to the power of 1/10, to the nearest integer? 2 What is the sixth root of 23736 to the nearest integer? 5 What is the cube root of 18152 to the nearest integer? 26 What is 4779 to the power of 1/6, to the nearest integer? 4 What is the square root of 5938 to the nearest integer? 77 What is 23 to the power of 1/9, to the nearest integer? 1 What is the cube root of 10586 to the nearest integer? 22 What is 3083 to the power of 1/9, to the nearest integer? 2 What is 90879 to the power of 1/2, to the nearest integer? 301 What is the third root of 3154 to the nearest integer? 15 What is the eighth root of 20187 to the nearest integer? 3 What is the third root of 6290 to the nearest integer? 18 What is the square root of 62115 to the nearest integer? 249 What is the sixth root of 17583 to the nearest integer? 5 What is the square root of 417 to the nearest integer? 20 What is 1118 to the power of 1/3, to the nearest integer? 10 What is the cube root of 2658 to the nearest integer? 14 What is the third root of 19257 to the nearest integer? 27 What is 75425 to the power of 1/9, to the nearest integer? 3 What is 7301 to the power of 1/3, to the nearest integer? 19 What is the square root of 338 to the nearest integer? 18 What is the square root of 16722 to the nearest integer? 129 What is 1260 to the power of 1/9, to the nearest integer? 2 What is the sixth root of 4294 to the nearest integer? 4 What is the square root of 16345 to the nearest integer? 128 What is the third root of 54319 to the nearest integer? 38 What is the third root of 12721 to the nearest integer? 23 What is 2224 to the power of 1/3, to the nearest integer? 13 What is the square root of 1509 to the nearest integer? 39 What is 5086 to the power of 1/3, to the nearest integer? 17 What is 17650 to the power of 1/2, to the nearest integer? 133 What is 22834 to the power of 1/2, to the nearest integer? 151 What is 649 to the power of 1/10, to the nearest integer? 2 What is 1923 to the power of 1/2, to the nearest integer? 44 What is 10080 to the power of 1/2, to the nearest integer? 100 What is the square root of 1779 to the nearest integer? 42 What is the third root of 2073 to the nearest integer? 13 What is 42896 to the power of 1/2, to the nearest integer? 207 What is the cube root of 21889 to the nearest integer? 28 What is the sixth root of 1204 to the nearest integer? 3 What is the fourth root of 136 to the nearest integer? 3 What is the cube root of 48274 to the nearest integer? 36 What is 822 to the power of 1/2, to the nearest integer? 29 What is the square root of 108305 to the nearest integer? 329 What is the cube root of 4808 to the nearest integer? 17 What is 6595 to the power of 1/7, to the nearest integer? 4 What is 12255 to the power of 1/3, to the nearest integer? 23 What is the square root of 7577 to the nearest integer? 87 What is the seventh root of 2143 to the nearest integer? 3 What is 1090 to the power of 1/5, to the nearest integer? 4 What is the fourth root of 2214 to the nearest integer? 7 What is the square root of 786 to the nearest integer? 28 What is the cube root of 3376 to the nearest integer? 15 What is 126 to the power of 1/2, to the nearest integer? 11 What is the tenth root of 3251 to the nearest integer? 2 What is 1593 to the power of 1/2, to the nearest integer? 40 What is 1355 to the power of 1/7, to the nearest integer? 3 What is 156 to the power of 1/2, to the nearest integer? 12 What is the seventh root of 1643 to the nearest integer? 3 What is 18359 to the power of 1/10, to the nearest integer? 3 What is the ninth root of 34063 to the nearest integer? 3 What is 3216 to the power of 1/3, to the nearest integer? 15 What is the third root of 14517 to the nearest integer? 24 What is the cube root of 4609 to the nearest integer? 17 What is 22621 to the power of 1/5, to the nearest integer? 7 What is the square root of 7125 to the nearest integer? 84 What is the square root of 4412 to the nearest integer? 66 What is the four
{ "pile_set_name": "DM Mathematics" }
= -21/43 + b. Suppose 0*t + 4*t - 196 = 3*u, 0 = 2*u. What is the common denominator of t and a? 4 Calculate the common denominator of 53/22 and 37/6 - (9 + -7). 66 What is the common denominator of 9425/(-234) - (-4)/(-18) and -89/2? 2 Let i = 10 + -8. Let z = 4221/1648 - -13/103. Find the common denominator of (-69)/66 + i - 1 and z. 176 Let p(s) = -9*s**3 - 4*s**2 - 4*s - 2. Let z be p(-2). Suppose -2 = 5*x - z. What is the smallest common multiple of 100/16 + 1/(-4) and x? 12 Suppose -2*n = -5*n + 54. Suppose 0 = -l + 2*l - 5*h + 2, -4*l - 3*h + 38 = 0. What is the least common multiple of l and n? 72 What is the least common multiple of 162 and (-21)/35 + 66/10? 162 Let w be 0 + (-6)/3*-2. Calculate the common denominator of 63/8 and 291/12*w/6. 24 Suppose 4*o + 5*l - 13 = -0*l, -4*o = -5*l - 3. Find the common denominator of -65/12 and 1/4 - (-36)/o. 12 Let n be (-7 + 9)/(526/(-18)). Let u = n + -20143/1578. What is the common denominator of u and -55/8? 24 Let y be 2/6*18/3. What is the smallest common multiple of 3 and ((-3)/y)/((-6)/20)? 15 Calculate the smallest common multiple of 104/10 - (-4)/(-10) and 22. 110 Calculate the common denominator of 77/8 and (-2)/(-3) - 14/588. 56 What is the smallest common multiple of 4 and (-268)/(-22) + (-6)/33? 12 Let o = -635 + 4416/7. Find the common denominator of o and 17/9. 63 Find the common denominator of (9/63)/((-2)/79) and (-4)/18 - (-2984)/(-1152). 112 Suppose 0 = -2*v + 5 + 1. Calculate the least common multiple of 11 and v. 33 Let i(h) = h**3 + 6*h**2 + 2. Let w be i(-6). Suppose -25 + 5 = -w*t. Calculate the least common multiple of 18 and t. 90 Suppose -508 = 4*l + 664. Let c = l + 551. Let s = c + -4165/16. Calculate the common denominator of s and 79/4. 16 Let l(n) = -n**3 + 8*n**2 - 5*n + 1. Let j be l(7). Calculate the smallest common multiple of j - (-6 - (-3 + 0)) and 12. 36 Let h = 7397/36 + -2036/9. Calculate the common denominator of (-2 + 25/11)/(8/(-104)) and h. 44 Let f = 4649 - 40256/9. Let j = f + -173. Find the common denominator of 7/3 and j. 9 Let u(y) = 7*y + 13. Let q(b) = 6*b + 12. Let t(k) = 6*q(k) - 5*u(k). What is the smallest common multiple of 22 and t(5)? 132 Suppose -f + 212 = f. Suppose -f - 4 = 5*j. Find the common denominator of 62/9 and j. 9 Let k be (3 - 1) + -6 + 6. Suppose -3*m = -k*c + 18, -3*c = -0*c - m - 27. What is the smallest common multiple of 1 and c? 9 Suppose 5*w + 12 + 8 = 0. What is the smallest common multiple of (-12)/15*50/w and 8? 40 Let p(s) = s**2 - 2*s + 2. Let x be p(4). Suppose 0 = 2*o + x, 9 = 2*j - 5*o - 36. What is the least common multiple of j and 8? 40 Let p(t) = 15*t**3 - 2*t + 1. Let z(w) = -w**2 + 4*w + 6. Let m be z(5). Calculate the lowest common multiple of p(m) and 16. 112 Let w = 67961 + -206996/3. Let a = -25195/24 - w. Find the common denominator of a and -21/16. 16 Let a = -19 + 31. Suppose 1 = -4*x + 73. Calculate the smallest common multiple of x and a. 36 Suppose 8*b - 4*b - 16 = 0. Let k(q) = -q**2 + 2*q + 5. Let c be k(0). Suppose -c*w + 0 = 2*i - b, 4*w = -16. What is the least common multiple of i and 12? 12 Suppose -a = -0*a + 5, 0 = 5*f - 4*a + 10. Let w be f/9 + 16/6. Suppose -3*c + 7*c = w*u - 44, u - 26 = 4*c. What is the least common multiple of 4 and u? 36 Let y = 3 - 5. Let d(f) = 2 + 0*f + 3*f - 4*f - 5*f. Calculate the lowest common multiple of 12 and d(y). 84 What is the common denominator of -73/9 and 2 + -5 - (0 - 7/(-30))? 90 Let v = 2 - 2. Suppose p + 42 + 8 = v. Find the common denominator of -131/6 and (10/6)/(12/p). 18 Suppose 0 = -2*y - 2*y + v + 36, 0 = 4*y - 5*v - 52. Let u be (-164)/y*1*-2. What is the common denominator of -7/16 and (-3)/(-8)*u/(-3)? 16 Let u = 87 + -47. Calculate the least common multiple of u and 30. 120 Let r = 4499/1060 + 3/530. Find the common denominator of 1660/(-80)*(-2)/(-8) and r. 16 Suppose 2*d + 92 = -124. Calculate the common denominator of (-3)/2*d/15 and 4/9. 45 Suppose 0 = 3*s - 53 - 55. Suppose -r = 2*r - s. Calculate the least common multiple of 34 and r. 204 Let i = -83 - -101. What is the least common multiple of 34 and i? 306 Let w(u) = -u**3 - u**2 + 2*u. Let c be w(2). Let p = -2 - c. Suppose -15 - 21 = -4*f. Calculate the lowest common multiple of p and f. 18 Let t = -4 + 12. Calculate the common denominator of -17/2 and (-189)/7*(-3)/t. 8 Let w = 62/9 - 67/9. Find the common denominator of 67/10 and w. 90 Let o = 149112 - 599649/4. Let f = o + 794. Find the common denominator of 77/12 and f. 12 Let j = -1831 + 3735/2. Calculate the common denominator of j and 32/61. 122 Let n(i) be the second derivative of -7/6*i**3 + i + 0 + 1/12*i**4 + i**2. Calculate the least common multiple of n(7) and 4. 4 Find the common denominator of 1/(-7 + -4)*40 and 1/(-2)*267/6. 44 Let c be 96/(-10) + 10/(-25). What is the lowest common multiple of 5 and (-12)/c + 1/(-5)? 5 Suppose 3 = -3*n - 0, 2*n - 93 = 5*r. What is the common denominator of -54/7 and r? 7 Suppose j + 4*t - 11 = 0, -4*j - 7 = -0*j - t. Find the common denominator of (-1 - j) + (-85)/6 and -133/12. 12 Let j = -20/77 + -2204/1001. What is the common denominator of -36/7 and j? 91 Suppose -4*k = 4*q - 3*k - 63, 0 = 2*q - k - 33. Let o = 1 + 13. Calculate the lowest common multiple of q and o. 112 Let y = -10877/7 + 1548. Find the common denominator of 47/12 and y. 84 Let z = -918/19 - -45349/950. Calculate the common denominator of z and -49/18. 450 Let f(c) = 4*c**3 - c + 2. What is the lowest common multiple of f(1) and 9? 45 Let z = -14 + 33. Suppose 31 = -3*p - l, -33 = 5*p + 5*l + 12. Let v = z + p. What is the least common multiple of 5 and v? 40 Let u = -61453/9936 + 167/27. Let h = -17383/16560 - u. Find the common denominator of -39/22 and h. 220 Let c = 2/1035 + 5794/1035. Calculate the common denominator of -39/17 and c. 85 Calculate the common denominator of -33*(224/(-720) + 1/6) and 89/66. 330 What is the common denominator of -43/3 and (-5034)/(-540) - (-4)/(-18)? 30 Let a be (-2)/7 + 16/7. Find the common denominator of 33/16*a/6 and 53/2. 16 Calculate the common denominator of -101/14 and ((-67)/12)/((-1)/3). 28 Let c = 4349 - 17485/4. Let p = 614623/171516 + -2/14293. Calculate the common denominator of p and c. 12 Let d(h) = h**2 - 6*h + 14. Let w be d(6). Let p = -3 + w. Suppose 4*u + u = -m + 12, 3*m - 2 = 2*u. Calculate the lowest common multiple of m and p. 22 Let b(f) = f. Let m be b(0). Let r be (-20)/7 + 5/(-35). What is the least common multiple of 5 and m + -3 + (r - -13)? 35 Suppose t - 17 = 2*v - 3, -4*t + 5*v + 44 = 0. Calculate the lowest common multiple of t and (2 - 1)/((-2)/(-36)). 18 Find the common denominator of (-4)/(-10) - (-1422)/120 and -3/62. 124 Let s = 21 - 33. What is the common denominator of (4/s)/((-2)/(-64)) and 37? 3 Let o = -4/5 - -23/10. Find the common denominator of o and 137/18 + (-2)/2. 18 What is the common denominator of -101/8 and 100/32 - 4 - -4? 8 Let d be (2 + 1)/(6/(-4)). Let i = d + 8. What is the lowest common multiple of 22 and i? 66 Find the common denominator of 703/57*((-15)/2)/5 and -99/14. 14 Suppose -2*u + 6 = u. Calculate the lowest common multiple of 5 and (u/(-6))/(5/(-15)). 5 Suppose 0 = 5*x - 2*q + 6, 0 = -5*q + 20 - 5. Suppose x*s - s = -2*c - 42, -3*c = -2*s + 81. Calculate the common denominator of s and -77/6. 6 Let m(u) = -u - 5. Let i = 6 + 4. Let p = i - 19. What is the least common multiple of m(p) and 14? 28 Let o = 5 - -1. Calculate the common denominator of 46/11 and 3/o + 129/30. 55 Suppose 2*f - 8 = f. Let h be (-2)/f - 9862/(-88). Let r = h + -15211/132. What is the common denominator of r and 119/10? 60 What is the common denominator of -101/4 and (47/18)/(5/(-10))? 36 What is the common denominator of 558/168 - (-6)/14 and 30/7? 28 Suppose 5*x + 5*n - 17 - 18 = 0, -4*x - 2*n = -26. Let h = -155 + 159. What is the smallest common multiple of x and h? 12 Suppose 3*o = 4*o - 20. Suppose -w = w - 60. Let f = w - o. What is the smallest common multiple of f and 9? 90 Let g = 9 + 31. Calculate the smallest common multiple of 44 and g. 440 Let l = -36 - -58. Suppose -u + 10 + 0 = 0. What is the smallest common multiple of l and u? 110 Let x = 7343 + -73353/10. Calculate the common denominator of x and (
{ "pile_set_name": "DM Mathematics" }
lculate 132/1155*7*15/(-12)*62. -62 (1552/291)/((-7)/((-1155)/176)) 5 What is the value of (-668)/(-32064)*(-24)/6? -1/12 (-52)/3*(2*5)/(2640/(-990)) 65 (((-1)/2)/(12/3))/98*-4 1/196 What is the value of 17*(3618/(-162))/67? -17/3 (92/(-161))/((-1224)/51) 1/42 2/((3312/(-1265))/(-72)) 55 4*-108*30/(-1440) 9 Calculate 4240/(-4770)*(-5)/10*18. 8 Calculate (-323)/(-19)*((-45)/(-102))/((-15)/(-12)). 6 Calculate 35/(-6)*21051/46780. -21/8 Evaluate 160/(-30)*(57/76)/(40/960). -96 (579/(-3281))/((-420)/170) 1/14 Evaluate ((6175/50)/(-19))/((27/9)/(-6)). 13 Evaluate (5298/(-3532))/((3/(-360))/((-1)/2)). -90 (42/(-140))/(((-504)/(-63))/16) -3/5 What is ((-4)/31)/(123388/17546)? -2/109 What is the value of (245/(-2058))/((-190)/304)? 4/21 Evaluate ((-110)/(-7810))/(2/(-4)). -2/71 What is the value of -1*11/1*(-2036)/2036? 11 Calculate ((-56133)/126)/(-27)*(-2)/(-11). 3 Calculate ((-5621)/(-1925)*-25)/(2/2). -73 What is the value of 9*160/30*((-108)/(-56))/((-12)/14)? -108 What is -1*((-816)/2856)/(20/21)*(-105)/(-18)? 7/4 What is the value of 12*30/2400*112/12? 7/5 What is the value of 477/(-1696)*(-2604)/279? 21/8 8*15/(-90)*6*5/1860 -2/93 What is the value of ((-16)/((-16848)/81))/(21/(-6))? -2/91 Evaluate ((-59460)/(-26757))/((-1)/4*1). -80/9 Evaluate 45/(-9)*16*25/(-1400). 10/7 What is (34/4352*48)/(2/8)? 3/2 What is ((-708)/9*4/16)/((1050/90)/35)? -59 Calculate ((253/1012)/((-19)/76))/((-1)/125). 125 Calculate ((-16)/4)/(-1)*-46*(-45)/24840. 1/3 What is 38*(84/(-16))/(-3)*(560/(-49))/20? -38 Calculate 486/324*-3*(-8)/(-1). -36 What is the value of (-2090)/(-209)*1*(-4)/((-32)/68)? 85 (-388)/(171/((-16587)/(-388))) -97 Calculate ((-5)/60*10)/(913/(-32868)). 30 Evaluate (-120)/((-160)/8)*658/(-47). -84 Evaluate ((-1280)/((-210)/42))/(-10)*1*(-5)/(-2). -64 Evaluate (8/(-20)*5)/(((-3)/18)/(98/14)). 84 Calculate (((-2)/13)/(26*96/9984))/(-2). 4/13 Calculate ((-90)/126*(-20)/50)/((-14)/(-2940)). 60 What is the value of 51748/(-3044)*-1*2/(-6)*-3? 17 (3*2/(-2))/((3708/(-76632))/(2/2)) 62 What is the value of (86208/14368)/(15/(-8))? -16/5 Calculate (138/391)/((13671/(-31))/21). -2/119 (24/(-36))/((-4000)/(1200/(-30))) -1/150 What is (((-1675)/670)/((-1)/(-2)))/((15/25)/(-3))? 25 What is ((-990)/180)/(273416/(-416))? 2/239 What is the value of (-20)/(-90)*567/(-126)*(-12)/108? 1/9 Calculate 15/(-210)*42/4. -3/4 What is ((-77760)/(-10108800))/((1*-2)/8)? -2/65 Calculate (120/45)/(44/1089*-6). -11 Calculate 1/(-5)*-46*24*(-80)/(-384). 46 What is the value of (51/2601*595)/(5/6)? 14 Calculate ((1700/(-16))/(-5))/((-130)/(-4576)*22). 34 Evaluate (-10)/(-6)*(4*(-111)/(-322640))/((-1)/(-8)). 2/109 What is (108/16)/(36/(-192))*(90/9)/(-100)? 18/5 Calculate ((-60)/(-8))/(70/(-245)*70). -3/8 Calculate (((-60390)/(-88))/45)/((-24)/(-96)). 61 Evaluate (77097/829)/(9/(-3)). -31 What is the value of ((-165)/(-198))/(6*(-2)/(-72))*-8? -40 What is the value of (92*(-26)/143*(-11)/(-4))/2? -23 Evaluate ((-3990)/(-2280))/((-14)/80). -10 Calculate -11*1*9496/(-26114). 4 Calculate ((-54)/(-63))/((-248)/434)*32/(-54). 8/9 Calculate 23/((-5428)/(-295))*(-132)/(-15). 11 Evaluate ((-1304)/(-242544))/((-1)/12). -2/31 Calculate 106/44*(-2684)/(-122). 53 Evaluate (-13*(-24)/234)/(2/(-148)*8/(-3)). 37 0/(12/9*63/(-84))*(-2)/6 0 What is (-358)/358*(-16)/2*18/16? 9 Calculate (-1*4)/(5782/37583). -26 Calculate (50/(-2500)*45)/((-156)/(-20)). -3/26 Evaluate ((-11)/(-42))/(187022/(-153018)). -3/14 Calculate (29/(-58))/(-1)*2/2*26. 13 What is ((-12)/(-1))/((12/168)/((-12)/(-21))*464)? 6/29 What is ((-2)/88)/(19/57*12/8)? -1/22 Calculate (3776/4248)/((-228)/(-54)). 4/19 ((-246160)/41630)/((-6)/69) 68 Calculate (-44)/(-154)*2*(-12)/(-468)*21*1. 4/13 What is (24*2450/(-10080))/((-7)/1)? 5/6 Evaluate 21/35*(-375)/(-15)*(-10)/(-30). 5 What is the value of (203/116)/((-63)/216)? -6 1620/1404*2/(-1)*5/25 -6/13 Calculate (1450/25)/(-29)*8/(-360). 2/45 What is 3*((-8)/(-252)*-7)/(-2)? 1/3 Evaluate ((-2)/(-9))/(327/(-8829))*(-26)/3198. 2/41 What is the value of 4*(-3)/(-300)*((-5280)/(-7128))/(4/3)? 1/45 Calculate 175/(-75)*-78*((-8)/(-1))/16. 91 What is (-20)/(-500)*300/(-50)*(-40)/6? 8/5 What is the value of (4/(-12)*(-480)/(-80))/(4/2)? -1 What is the value of ((-10)/3870*3)/(3*6/54)? -1/43 Evaluate -102*(2/(-4))/(10*(-114)/(-760)). 34 Calculate (24747/(-452))/(6/20*45/(-108)*6). 73 Evaluate 122*(-144)/(-65880)*6*1/(-8). -1/5 What is (2/21)/(-1)*2023/(-867)? 2/9 Evaluate -7*(32/(-140))/((-120)/(-12150)*-3). -54 (20/(1280/688))/((-280)/320) -86/7 Evaluate (-49872)/2078*(-4)/912. 2/19 What is the value of (363/1452)/((26/(-24)*3)/1)? -1/13 What is (4/(-60))/((-19)/(-95))*(-29)/87? 1/9 Calculate ((-38801)/(-1446)*(-48)/(-42))/(-4). -23/3 What is (13570/115)/(-118)*2*49/2? -49 Calculate (-9000)/(-7000)*(-48)/9. -48/7 What is the value of ((-20)/(-884))/((-323)/(-10982))? 10/13 Evaluate ((-13572)/42978)/(((-2)/(-19))/(-2)). 6 Evaluate ((25/(-10))/(-5))/((2673/(-7062))/81). -107 (126/(-18))/((-2)/2*-6*(-1)/3) 7/2 What is the value of (-8)/5*(-5780)/(-2312)? -4 What is the value of 407*11*38/(-4598)? -37 Calculate 39/(202410/(-1384))*18/(-8). 3/5 What is the value of (-5406)/34*(-65)/(-78)*(18/(-15))/(-6)? -53/2 Calculate 72/(-54)*(-117)/416*2. 3/4 What is the value of 1/((74/(-1628))/(5/(10/(-7))))? 77 Calculate 299/(11960/120)*2/57. 2/19 What is the value of 35288/1604*-2*24/44? -24 What is the value of (-232)/20*10*8*19/608? -29 What is (-408)/(-340)*(-15)/(-24)*40/(-33)? -10/11 What is (1242/(-7245))/((-10101)/(-455))? -2/259 Calculate ((-264)/9)/(50/(-15)*27/(-135)). -44 What is (-6)/3*20432/7662? -16/3 (-10)/180*52/39 -2/27 Evaluate (-18)/9*((-425)/(-1125))/17. -2/45 What is the value of (4/(-16))/(14/392)*((-72)/(-2121))/(-12)? 2/101 Calculate ((64/176)/((-128)/(-2112)))/(4/6). 9 Evaluate 1306960/32674*2/6*(-3)/4. -10 Calculate ((-148)/1480)/((3/4)/(15/4)). -1/2 What is the value of ((-8)/(-68))/((-7745)/(-3098)*(-3)/(510/(-4)))? 2 What is the value of ((-17016)/(-7090))/(84/5)? 1/7 Calculate (72/4554)/((-1221)/(-9361)). 4/33 (1855/70)/(45/90) 53 What is (9*3/45)/((246/(-205))/(56/8))? -7/2 What is 2915/(-221540)*(-8)/(-2)? -1/19 Calculate ((-1004)/753)/(13/(-3))*(225/(-10))/(-9). 10/13 Calculate (-10)/7*9*(-924)/1485. 8 What is the value of (1521/(-936)*30/(-39))/(2/136)? 85 Evaluate 1781000/311675*(42/8)/1. 30 What is the value of 53*(-5244)/(-54378)*(-6)/(-23)? 4/3 Evaluate (3*(-49)/(-18))/(19*16/(-1824)). -49 What is (33/132*-15)/((6/20)/(72/60))? -15 Evaluate -40*27/1440*(-80)/(-66). -10/11 Evaluate (-1682)/(-2523)*36/2. 12 What is (((-40)/(-9))/2)/(21/((-7560)/(-150)))? 16/3 Evaluate ((-174)/(38280/(-110)))/(3/474). 79 What is the value of ((-830)/(-1162))/(10/(-1050))? -75 Evaluate ((-85)/(-17850)*105)/(1/(-10)). -5 What is (1350/(-20))/(-15)*(10304/(-98946))/56? -2/239 Evaluate ((2800/(-910))/20)/(15/(-26)). 4/15 Calculate ((-42)/20*(-345)/(-1242))/((-15)/(-80)). -28/9 What is 9/((2*(-6)/8)/(4704/2352))? -12 Calculate (((-210)/84)/((-30)/3))/(6/246*-1). -41/4 What is the value of (-294378)/(-652)*4/42? 43 Calculate (152/(-190))/(((-34)/(-10))/((-95)/(-3610))). -2/323 What is the value of 2/((-1160)/6)*14/(-9)*(-32)/112? -2/435 What is the value of (327/(-218))/((-15)/(-410))? -41 ((-2)/(-73))/(9204/6382974) 19 (-3)/(-15)*235*148/31302 2/9 ((-17)/((-4386)/4))/2*(-33)/22*4 -2/43 Calculate 1008/(-27)*6900/4025. -64 Evaluate (2*(-54)/33)/(5372/29546). -18 Evaluate ((324/21)/(-6))/(3/((-756)/48)). 27/2 What is the value of (-2)/(-30)*(3/6)/((-16)/(-1248))? 13/5 Evaluate ((-8)/(-2))/((-86)/(-11696)*-34). -16 Calculate (18/11583*-9)/(9/(-117)). 2/11 What is 1446/482*(-6)/27*(-1809)/(-54)? -67/3 Evaluate (-6)/(-18)*8235/732*-12. -45 Evaluate 3/(-195)*3235/647. -1/13 Evaluate ((-9)/(-828))/((-3)/4)*180/(-30). 2/23 60882/4234*290/(-30) -139 (-1292)/(-16)*1720/4085 34 What is (3/9)/(32*(-20)/109440)? -57 (((-36)/738)/(264/(-83886)))/((-1)/(-6)) 93 (-16)/6*((-119)/(-34))/(-7)*-45 -60 What is the value of 1566279/53548*8/3? 78 ((6/(-8))/((4554/8052)/23))/(2/4) -61 What is (-2*(30/12)/(-1*(-3)/15))/2? -25/2 Calculate (-142)/((-2)/2*(-6)/3*(-283)/(-283)). -71 Evaluate ((-12100)/660)/(15/9). -11 What is (3/(-3))/1*(-12610)/5044? 5/2 What is (20/(-5)*(-1)/10)/((-27)/(135/(-1)))? 2 What is the value
{ "pile_set_name": "DM Mathematics" }
29) Simplify (((k/(k/k**(-3/5)))/k*k)/k)/k*k**9 assuming k is positive. k**(32/5) Simplify a/(a*a**18)*a**(4/15) assuming a is positive. a**(-266/15) Simplify m**(-3)/(m/(m*m/m**(-11)*m*m)) assuming m is positive. m**11 Simplify (s*s*s*(s/s**(2/15)*s)/s*s)/s**(4/3)*(s**8/s)/s*s*s*s**(1/3) assuming s is positive. s**(178/15) Simplify ((a/a**(1/4)*a)/a**(-2/5))/(a**(3/2))**(2/67) assuming a is positive. a**(2821/1340) Simplify ((s**4)**(-4/9))**37 assuming s is positive. s**(-592/9) Simplify (n**1)**27/(n/(n*n**(-4)*n)*n/((n*n/n**0*n)/n*n)) assuming n is positive. n**26 Simplify o**(-4/3)/(o/(o/(o*o*o**(-3/2)*o*o*o))*o*o)*o**(-1/8)*o**7 assuming o is positive. o**(1/24) Simplify a/((a/(a/a**15*a))/a)*a/(a/(a/a**(-10/9))*a) assuming a is positive. a**(-98/9) Simplify (l**(-2/7)/l)**49/(l*l*l*l/(l/l**(1/4))*l*(l/(l*l**(-2/7)))/l) assuming l is positive. l**(-1863/28) Simplify a**3/a**(-6)*(((a*a**(-2))/a*a)/a)/(a/a**(-4)) assuming a is positive. a**2 Simplify ((v*v*v**8)/(v*v/(v/(v*v/v**(-1/18)))*v))**(-2/57) assuming v is positive. v**(-107/513) Simplify (x/(x*x**(-2/17)*x))/(x/x**(3/4))*(x**(-1))**(-39) assuming x is positive. x**(2575/68) Simplify q**21/q*q*q*q**(-4) assuming q is positive. q**18 Simplify (z*z*(z*z**(-2/9))/z*z*z)/z**32 assuming z is positive. z**(-254/9) Simplify (m*m*m/(m/(m*m**(1/3))*m))**(-31)*(m*m**10/m)/m**(-2/29) assuming m is positive. m**(-5417/87) Simplify t*t/(t*((t*t**(-1/3))/t)/t)*(t*t*t**(-1/4)*t)/t*t**(6/7)/(t**(-5/4)*t) assuming t is positive. t**(109/21) Simplify (x*x/(x*x*x*((x**(1/4)*x)/x*x)/x)*x*x**(-1/5))**(2/75) assuming x is positive. x**(-3/250) Simplify ((c/(c*c/(c/((c*c/(c*c**(-3/11))*c)/c)*c)*c)*c*c*c)/c)**(23/4) assuming c is positive. c**(46/11) Simplify f**15/f*f**(-13) assuming f is positive. f Simplify (m**(-7))**(-7) assuming m is positive. m**49 Simplify d**(-2/5)/(d*d**(-3/8))*(d*d**(-4))/(d/(d*d/(d**0*d)*d)) assuming d is positive. d**(-121/40) Simplify y**9*y**(-6/11)/y*y assuming y is positive. y**(93/11) Simplify ((o/o**3)/o)**(-16) assuming o is positive. o**48 Simplify b/b**(-7)*b**3 assuming b is positive. b**11 Simplify ((x**(-1/8)/x)/x)/x**(1/5)*x**(-4/5)*x**2 assuming x is positive. x**(-9/8) Simplify (k/(k*k**(1/7))*k**(-1/3))/(k*k**0/k)**19 assuming k is positive. k**(-10/21) Simplify (s*s**(2/5)*s*(s/(s/(s**(-2/7)/s)))/s)/(((((s*s*(s*s**0)/s)/s*s)/s)/s)/(s*s**(-2/7))) assuming s is positive. s**(29/35) Simplify (r**0*r)**(5/8) assuming r is positive. r**(5/8) Simplify (g**(3/7)*(g/(g**(4/5)/g))/g)/((g**(2/5)*g)/(g/(g*g*g**(-6)*g*g))) assuming g is positive. g**(78/35) Simplify ((m**(3/5)/m)/m*m)/m*(m**(1/33)*m)/m assuming m is positive. m**(-226/165) Simplify ((l*l**(8/5))/(l/(((l*l**(-4)*l)/l)/l*l)))**(10/7) assuming l is positive. l**(-2) Simplify d/(d**(9/8)/d)*d**(-13)*d assuming d is positive. d**(-89/8) Simplify (c/((((c*c**(-2/3))/c)/c)/c))/(((c/c**(-2/9))/c)/c)*(c**1)**(22/5) assuming c is positive. c**(398/45) Simplify (w*w*w*(w/(w**(-1/4)*w)*w)/w*w)/(w/((w**(-8)/w*w)/w))*(w**2)**(-46) assuming w is positive. w**(-391/4) Simplify z**(-14)/z*z**(-1/9) assuming z is positive. z**(-136/9) Simplify c**(-22)/(c**(-17)*c) assuming c is positive. c**(-6) Simplify (v/v**(-10)*v*((((v**(-15)*v)/v)/v*v)/v)/v)**(-10) assuming v is positive. v**50 Simplify (w*w**(-1/2))**35 assuming w is positive. w**(35/2) Simplify (h*h**(-13)/h*h*h)/(h/(h*(h*h*h*((h*h*h*h**(10/11))/h*h)/h*h*h*h)/h)) assuming h is positive. h**(-34/11) Simplify (i/(i**(-2/15)/i)*i)/(i/(i/(i*i**28/i))) assuming i is positive. i**(-373/15) Simplify ((v**(2/9))**(1/16))**(-9/7) assuming v is positive. v**(-1/56) Simplify ((g*g**(-6))/g**0)/(g**(2/3))**(-1) assuming g is positive. g**(-13/3) Simplify (c/(c/(c**(-10)*c)))/(c/c**(2/75)) assuming c is positive. c**(-748/75) Simplify (t*(t/((t/(t/t**(-2/9)))/t))/t*t**(-8))/(t**4*t*(t*t/(t**1/t)*t)/t) assuming t is positive. t**(-115/9) Simplify (l/(l/(l/(l*l/(l/(l**(-15)/l*l))))))/(l/l**17) assuming l is positive. l**31 Simplify t**(2/9)*t**(1/4)*t*((t*t**(-2/7)*t*t*t)/t)**(-42) assuming t is positive. t**(-4051/36) Simplify (x**0/x*x*(x*x*x**(-5/2)/x)/x)**(3/16) assuming x is positive. x**(-15/32) Simplify (((s*s/(s*s**2)*s)/s)**(-1/14))**(1/26) assuming s is positive. s**(1/364) Simplify (r**8*r)/r**(1/14) assuming r is positive. r**(125/14) Simplify j*j**(2/117)*j*j*j*j/(j**(9/2)/j*j) assuming j is positive. j**(121/234) Simplify ((f/(f**0/f))/f)**(-1/8)/(f**(2/7)/(f**(-1)/f*f)) assuming f is positive. f**(-79/56) Simplify (l**(1/5)/(l/(l*l**2)))/(l**(-1/3))**(-17/5) assuming l is positive. l**(16/15) Simplify (u/(u*u**1*u))/(((u/(u*u/u**(-3)))/u)/u)*(u**(-1/3))**(-2/23) assuming u is positive. u**(278/69) Simplify q**2*q**(-13)*q*q assuming q is positive. q**(-9) Simplify (r**0*r**(1/5))/(r/(r*r**(-6/5)*r)*r**(-1/4)) assuming r is positive. r**(1/4) Simplify s**(-6)*(s**7*s)/s*(s/(s**1/s))**(2/55) assuming s is positive. s**(57/55) Simplify i**(3/7)/((i*i**(-1/2)/i)/i)*(i*i**(-2/7))**(-5) assuming i is positive. i**(-23/14) Simplify v**(2/7)/(v*v**32) assuming v is positive. v**(-229/7) Simplify ((z*(z**(-1/5)*z*z)/z)**(-7/4))**(19/3) assuming z is positive. z**(-399/20) Simplify (u/(u*u**(3/2)*u))/u*u*u*u**(-4)*(u**(-4/3)/u)/((u/(u**6/u))/u) assuming u is positive. u**(-17/6) Simplify l*l**2*l/l**(-13) assuming l is positive. l**17 Simplify (r**(-1))**19 assuming r is positive. r**(-19) Simplify (g**(1/4)*g*g)**23 assuming g is positive. g**(207/4) Simplify (z*z**(-2/5))**(2/29)/((z*z*z**(2/13)*z*z)/((z**(3/10)*z)/z*z)) assuming z is positive. z**(-10603/3770) Simplify r**(-19/4)*(r*(r/(r/((r/((r*r**(-8/7))/r*r))/r))*r)/r)/r assuming r is positive. r**(-129/28) Simplify f/((f*f/f**(-9/7)*f)/f)*f**(-12) assuming f is positive. f**(-100/7) Simplify (u**(-12)*u)**45 assuming u is positive. u**(-495) Simplify (m*m**(-5/6)*m*m*m**(-2/9)/m)**27 assuming m is positive. m**(51/2) Simplify (u/u**(-19)*(u*(u*u**20)/u)/u*u)**36 assuming u is positive. u**1476 Simplify l**16*l*l/l**(-2/3) assuming l is positive. l**(56/3) Simplify ((v*v**2/v)**30)**(-20) assuming v is positive. v**(-1200) Simplify m**(2/3)*m**(-1/11)/m*m*m*m**(1/4)*m/m**(-1/4) assuming m is positive. m**(203/66) Simplify ((l*l**9*l)/l)/(l**(-2/5)/l*l*l)*(l**(-7)*l)/(l/l**(-6/11)) assuming l is positive. l**(102/55) Simplify ((x**2)**24)**(-35) assuming x is positive. x**(-1680) Simplify (((a**1*a)/a)/(a*a**(-4/11)))**(11/3) assuming a is positive. a**(4/3) Simplify (i*i/(i/(i**(1/8)/i)*i)*i*i)/i**(-13) assuming i is positive. i**(113/8) Simplify (j**(-5/12)*j)/j*j/(j**20/j) assuming j is positive. j**(-221/12) Simplify (w**(-3/7))**(-37) assuming w is positive. w**(111/7) Simplify (l/(l/(l**(1/3)*l*l))*l)**39/(l**5*l*l**0) assuming l is positive. l**124 Simplify (h/(h*h**(-1/5))*h*h**(-5))/((h**0*h)/h**(-2/15)) assuming h is positive. h**(-74/15) Simplify (i/(i/i**10*i))**(-19) assuming i is positive. i**(-171) Simplify ((l/((l/l**(2/15))/l))/(l**1*l))/(((l**(2/9)/l)/l)/(l*l/(l/l**(1/5)))) assuming l is positive. l**(19/9) Simplify (g/g**0)**(-4/21)/(((g**1*g)/g*g)/(g**(-1)/g)) assuming g is positive. g**(-88/21) Simplify (p**(-3/5))**(3/37) assuming p is positive. p**(-9/185) Simplify (u**(2/9)*u)**(11/7)*(u/(u*u/u**(-3/5)*u))**24 assuming u is positive. u**(-19051/315) Simplify l**(-6)/l*l*l**1/l*l*l**(2/3)*((l*l**(-5))/l)/l assuming l is positive. l**(-31/3) Simplify z**(-1/10)*z**(-3)*(z/z**(-1))**(1/19) assuming z is positive. z**(-569/190) Simplify (o/o**(2/15))/o**(-14/5) assuming o is positive. o**(11/3) Simplify (w**(-7)/((w*(w/(w*w**5))/w)/w))**(-2/13) assuming w is positive. w**(2/13) Simplify ((t**(1/7)/t)/((t*(t*t*t**(-4/7))/t*t)/t))**(-3/38) assuming t is positive. t**(24/133) Simplify (y**(-2/11)*(y*y/((y/y**(4/3)*y)/y)*y)/y*y*y)/(y/y**(2/3))**(-3/10) assuming y is positive. y**(1403/330) Simplify (g/g**(-2))/g**(9/5) assuming g is positive. g**(6/5) Simplify ((q**(-5/4)/q*q*q)/q)/q*q*q**(-8)*(q*q**0)/q**(-4) assuming q is positive. q**(-17/4) Simplify ((y*y**(-1/9))**(1/37))**(9/4) assuming y is positive. y**(2/37) Simplify (i/(i*i**(2/23))*i*i*(i/((i*i**(-4/3))/i*i))/i*i*i)**48 assuming i is positive. i**(4688/23) Simplify n/n**(-1/2)*n**(-4/3)*n/(n*n/(n*n**3))*n**(-1/3) assuming n is positiv
{ "pile_set_name": "DM Mathematics" }
- 684. What is the tens digit of x? 6 Let n(d) = d**3 - 2*d**2 - 2. Let l be n(3). Let s = 12 - l. Let f = s + -3. What is the units digit of f? 2 Let h = 4 + -6. Suppose 2*r - 17 = w, -2*w - 4*r = 2 - 0. Let a = h - w. What is the units digit of a? 7 Let y(d) = d**3 + 14*d**2 + 13*d + 7. Let r be y(-13). Let i(o) = 2*o - 3. What is the tens digit of i(r)? 1 Let k be (-16)/3 - (-4)/(-6). Let z(n) = -5*n - 8. What is the tens digit of z(k)? 2 Let f be (1/3)/(3/342). Suppose f = 3*z - n, z + 36 = 2*z - 5*n. What is the units digit of z? 1 Let a be -2 + 5 - (-2 + 0). Let o = a - 4. What is the units digit of o? 1 Let z = 42 - 13. What is the tens digit of z? 2 Suppose 0 = -x - 2*v + 13, 4*v - 6 = -x + 13. Let w = x - 2. What is the units digit of w? 5 Let s(u) = u. What is the units digit of s(6)? 6 Let z(p) = 5*p**2 - 4*p - 1. Let a(k) = -9*k**2 + 8*k + 1. Let r(w) = -4*a(w) - 7*z(w). Let g be r(2). Let u = 0 - g. What is the units digit of u? 1 Let u(x) be the second derivative of -1/2*x**2 + 0 + 1/6*x**3 - x. What is the units digit of u(3)? 2 Let n(z) = -z**3 + 7*z**2 + 7*z + 1. Let o be n(7). Let q = o - 24. What is the tens digit of q? 2 Suppose -5*d = z - 3*z + 26, 6 = -2*z - 3*d. Suppose -b + 100 = z*b. What is the units digit of b? 5 Suppose -3*v - 5*l + 10*l + 109 = 0, -v + 4*l = -41. What is the units digit of v? 3 Let z(b) = 2*b**3 - 2*b**2 - 10*b + 2. What is the units digit of z(6)? 2 Let j = 11 - 4. Let q(o) = -4*o**2 - 6*o - 15. Let s(m) = m**2 + 1. Let l(z) = -q(z) - 5*s(z). What is the units digit of l(j)? 3 Let s(d) = -d**3 + 2*d**2 - 4*d + 6. Let q(t) = -t**3 + t**2 - 3*t + 6. Let r(k) = -6*q(k) + 5*s(k). What is the units digit of r(-4)? 2 Let k = -22 + 46. What is the tens digit of k? 2 Let n be 106/(-9) + (-4)/18. Let s be -1 - (-1 - -2) - -21. Let o = n + s. What is the units digit of o? 7 Let j = 123 - 84. Suppose -y + j = 2*y. What is the units digit of y? 3 Let b(a) = -a**3 + 3*a**2. Let z be b(2). Suppose 0 = -0*d + d - z. Suppose -5*l - 2*m = -39, -2*l + d*m - 3*m = -12. What is the units digit of l? 7 Let z = 15 - 12. Suppose 111 = z*s + 18. What is the units digit of s? 1 Suppose -o - 5*p + 0 = -5, -5 = -o - p. Suppose 0*k - 52 = -o*b + 2*k, -2*k - 42 = -4*b. What is the units digit of b? 0 Suppose -5*s + 3*v + 371 = 2*v, 227 = 3*s - 5*v. What is the units digit of s? 4 Let x be 4/(-2) - -12 - 2. Let g(y) = 6*y - 9. What is the tens digit of g(x)? 3 Let d = -134 + 244. What is the hundreds digit of d? 1 Let u(c) = 2*c**2 + 4. Let f be u(3). Let i = f - 8. What is the tens digit of i? 1 Suppose -f = -5*m - 211, -3*m + 6*m - 844 = -4*f. What is the tens digit of f? 1 Let c(b) = 2*b**3 - 43*b**2 + 26*b + 23. What is the tens digit of c(21)? 2 Let l be 2/(-5) + 72/(-20). Let n = 6 + l. Suppose 0 = -4*w + 62 - n. What is the tens digit of w? 1 Suppose -2*g + 5*g + 5*j + 1 = 0, 3*g + 3*j = 9. Let u = g + -5. What is the units digit of u? 3 Let h(i) = -i**3 - i**2 - 2. Let j be h(-2). What is the tens digit of (4/j)/(6/63)? 2 Let z(b) = -b - 7. Let c be z(-5). What is the units digit of 1/c - 19/(-2)? 9 Let y = -9 + 51. What is the tens digit of y? 4 Suppose 3*x + 14 = 5*x + 3*o, -4*x + 16 = 3*o. What is the tens digit of 24/x*1 - -3? 2 Let g be -1*3*(0 + -1). Suppose 0 = g*v + v - 60. What is the units digit of v? 5 Suppose -1279 - 81 = -5*q. What is the tens digit of q? 7 Suppose -3*o - 5 - 1 = 0. Let a = o - -6. Suppose -5*f = 5*l - 35, -l + a*f = 9 + 4. What is the units digit of l? 3 Let p be -2*(-3 - 28/(-8)). What is the units digit of -13*(0 + -1 + p)? 6 Let c(j) = -j**3 + 10*j**2 + j + 9. What is the tens digit of c(10)? 1 Suppose 3*o = 4*j + 1, 3*o - 20 = -o - 4*j. Suppose b = o*b - 26. What is the tens digit of b? 1 Let z(i) = -i**2 - 14*i - 1. What is the units digit of z(-9)? 4 Let u(j) = 28*j**3 + j**2 - j + 1. Let t be 6 + -3 - 2 - 0. What is the tens digit of u(t)? 2 Let c = -10 - -15. Suppose -c*v - 7 = -2. What is the units digit of (v/3)/((-3)/27)? 3 Let u(x) = -15*x - 13. What is the tens digit of u(-3)? 3 Let l be 20/6 - 3/9. Suppose -l*b - 1 = -4. What is the units digit of b? 1 Let h(z) = -26*z + 25. What is the hundreds digit of h(-4)? 1 Suppose 2*a + 0*a - 171 = 5*n, 0 = -2*n + 2*a - 72. Suppose -2*b - 21 = q + 24, -4*b = 3*q + 139. Let r = n - q. What is the units digit of r? 6 Let d(r) = 2*r**2 - 7*r + 2. What is the hundreds digit of d(-6)? 1 Suppose 0 = -5*x - 16 - 4. Let q(h) be the second derivative of -h**4/12 - 7*h**3/6 - 5*h**2/2 + h. What is the units digit of q(x)? 7 Suppose 2*o + 33 = 3*o. What is the units digit of o? 3 Let g = 213 + -119. What is the tens digit of g? 9 Let p(y) = -y**2 - 7*y - 6. Let d be (-1)/(-5) + 78/(-15). Let c = d - -1. What is the units digit of p(c)? 6 Let v = -10 - -4. What is the units digit of ((-4)/v + -4)*-9? 0 Let a = 3 - -11. What is the tens digit of a? 1 Let k = 98 - 0. What is the units digit of k? 8 Let v(a) be the first derivative of a**4/4 - a**3 + 2*a**2 + 7. What is the units digit of v(3)? 2 Let r(h) = -2*h - 10. Suppose -19 + 5 = 2*d. What is the units digit of r(d)? 4 Suppose d = -d + 30. Let v = d - 4. What is the tens digit of v? 1 Let o be (4/2)/(1 - 2). Suppose -3*j = -3 - 0. What is the units digit of ((-4)/(-2) - o) + j? 5 Let l = 2 + 4. Suppose t + 2*t = l. What is the units digit of t? 2 Suppose -4*l - 3 + 15 = 0. Suppose -h + 4 - 1 = p, 0 = -l*p + 6. What is the units digit of h? 1 Suppose 4*q - 6 = 10. Suppose -q*f = -44 - 20. Suppose 0 = -2*c, 2*m = 3*c + 2*c + f. What is the units digit of m? 8 Suppose 0 = 4*z + 2*y - 210, -3*z + 7*z + 3*y = 215. Suppose 3*t - t - z = 0. What is the tens digit of t? 2 Let p(h) = 13*h**2 - h - 5. What is the hundreds digit of p(3)? 1 Suppose 0*p = 3*p - 39. What is the units digit of p? 3 Let k = -4 - 8. Let c = k - -7. What is the units digit of c/2*(-4)/5? 2 Suppose 0 = -3*j - 4*f + 211 + 66, 5 = 5*f. What is the units digit of j? 1 Let u = -9 - -7. Let d(c) = 7*c**3 + 8*c**2 + 8*c + 7. Let q(m) = -13*m**3 - 15*m**2 - 15*m - 13. Let h(w) = 11*d(w) + 6*q(w). What is the units digit of h(u)? 3 Let m be ((-1)/(-1))/((-4)/(-20)). Suppose -l + m*l - 48 = 0. What is the units digit of l? 2 Let z(p) = -p - 8. What is the units digit of z(-11)? 3 Suppose 0*i = -3*i + 924. What is the units digit of (-3)/(-2)*i/33? 4 Let d(y) = -y + 7. Let w be d(6). Let p be (-1 - w)/((-14)/7). Suppose 0 = 5*n + 3*o - 10, -n + 3*o + 1 = -p. What is the units digit of n? 2 What is the units digit of 5*(-28)/(-35)*18/8? 9 Suppose -7*b + 2*b = -3*d + 6, -5*d - 4*b = 27. Let y = d - -11. What is the units digit of y? 8 Suppose -4*z + 165 = 5*g, -4*z + 2*z + 27 = g. Suppose 27 = 5*n + u + 3*u, -5*n + g = -u. Let b(i) = -i**3 + 8*i**2 - 6*i - 5. What is the units digit of b(n)? 2 Suppose 3*w - 30 = -0*w. What is the units digit of ((-12)/w)/((-3)/15)? 6 Suppose -4*d + 4*r = 4, -2*d + 13 + 5 = 2*r. Suppose 10 = a - 4*x, 3*a - 44 - d = 3*x. Let p = 27 - a. What is the units digit of p? 9 Let l(k) = k**3 + 7*k**2 - 3*k + 11. What is the units digit of l(-7)? 2 Suppose -3*u = 4*a + 14 - 69, 0 = 5*a - 3*u - 35. What is the tens digit of a? 1 Suppose j = 4*j. Suppose -5*w = -j*w - 60. Suppose -3*f + 12 = -w. What is the units digit of f? 8 Let y be (3 - 2)*0 - -1. Let d = y + 24. What is the units digit of d? 5 Let v = 58 - 4. What is the units digit of v? 4 Let h(t) = -40*t + 2. Let y be h(2). What is the units digit of 2/(3*(-4)/y)? 3 Suppose 6*r + 576 = 9*r. What is the units digit of r? 2 Suppose 2*u - 4 = -0*u. Suppose -u*s - 105 = -5*s. What is the tens digit of s? 3 Suppose m + 9*h - 26 = 4*h, h = -2*m + 7. Suppose r - m = 38. What is the units digit of r? 9 What is the units digit of 5/((-15)/(-36))*5? 0 Let x be (0/(2/(-1)))/2. Suppose -3 = -q - x. Suppose 30 = 3*p - q. What is the units digit of p? 1 Let u(b) = -2*b + 6 + 2 + b + 0*b. Let t be u(0). Suppose 0 = -t*r + 3*r + 65. What is the tens digit of r? 1 Suppose u + 2*z = -z + 116, -2*u + 232 = 5*z. What is the units digit of u? 6 Suppose -2*f - 63 + 175 = 0. What is the tens digit of f? 5 What is the units digit of 4 + 2*(-86)/(-4)? 7 Suppose 0*n = 7*n - 189. What is the tens digit of n? 2 Let f(u) = -5*u**2 + u. Let a be f(-1). Let s(y) = -5*y - 12. What is the
{ "pile_set_name": "DM Mathematics" }
**2 - 2*v. Let d be t(-2). What are the prime factors of d/(-5)*(1000/15)/2? 2, 5 Let t = 8 + -11. Let b = -1 - t. What are the prime factors of (-806)/(-18) - b/(-9)? 3, 5 Let l be (70/(-8))/(3/12). Let u = l + 88. What are the prime factors of u? 53 Let q(l) be the third derivative of l**6/60 - l**5/12 - 5*l**4/24 - 2*l**3/3 + 7*l**2. Let g be q(5). What are the prime factors of (6/4)/(8/g)? 2, 3 Let w = 273 + -228. What are the prime factors of w? 3, 5 Let x(m) = 2*m**3 + 6*m**2 + 3*m - 1. Let r be x(-3). What are the prime factors of (-38)/((8/20)/(26/r))? 13, 19 What are the prime factors of (2 - (-436)/8)/(1/26)? 13, 113 Suppose 0 = 3*h + 12, -h = v - 23 - 80. Suppose v - 1547 = -8*q. What are the prime factors of q? 2, 3, 5 Let m be (-6)/(4/(-4 + 2)). Let i = m + -19. List the prime factors of 36 - (-7)/((-28)/i). 2, 5 Let p(k) be the second derivative of k**5/20 - k**4/12 + k**3/6 + 105*k**2/2 - 4*k. List the prime factors of p(0). 3, 5, 7 What are the prime factors of (-426)/4*432/(-24)? 3, 71 Suppose -10*q + 7*q = 3*j - 4086, -2*q = 3*j - 2727. What are the prime factors of q? 3, 151 Suppose 0 = 1058*x - 1053*x - 5120. What are the prime factors of x? 2 Suppose -47*d + 24642 = -4216. What are the prime factors of d? 2, 307 Let a be (-78)/(-65)*(-10)/(-4). Suppose -3*z + 41 = -19. Suppose 0 = -2*q - a*q + z. List the prime factors of q. 2 Let z(j) = j**3 + 23*j**2 - 38*j + 10. List the prime factors of z(-24). 2, 173 What are the prime factors of (9200/6)/2 + (-29)/(-87)? 13, 59 Let x(n) = -7*n - 20. Let z be x(-8). Suppose m - h - z = 0, -m + 4*h + 40 = h. List the prime factors of m. 2, 17 List the prime factors of (2 + 2)/(15/((-12225)/(-10))). 2, 163 Let w be (-1)/(-1) + 0 + 4 + -4. Let h(t) = 159*t - 2. What are the prime factors of h(w)? 157 Suppose -68*f = -58*f - 18260. List the prime factors of f. 2, 11, 83 Suppose -31*j - 4878 = -40*j. List the prime factors of j. 2, 271 Let w(o) = 232*o**2 - 3*o - 2. Let i be w(-1). Let x = -117 + i. List the prime factors of x. 2, 29 Let p(x) = -5*x + 24. Let l = -3 - 8. List the prime factors of p(l). 79 Suppose a - 6*a = -50. Let c = 0 + 5. Suppose 3*p = p - a, c*f + p = 50. What are the prime factors of f? 11 Let y(j) = j + 7. Let x be y(-14). Let s be 6/21 + 156/x. Let m = 46 + s. What are the prime factors of m? 2, 3 What are the prime factors of 5*(8/10)/(66/12045)? 2, 5, 73 Let t(o) = 2*o**2 - 2*o + 4. Let q be t(2). Let g be (-1)/1*0/q. Suppose g = 2*u - 81 + 29. List the prime factors of u. 2, 13 Suppose t - 5477 = -4*i, 3*t - 549 = -2*i + 2192. What are the prime factors of i? 37 Let h = -19 - -16. Let x be (-4 - h)/(2/(-8)). List the prime factors of (-850)/20*x/(-5). 2, 17 Let i be (9/(-6))/(3/(-12)). Let v(z) = z**2 + 2*z - 9. What are the prime factors of v(i)? 3, 13 Suppose -c + 2*u + 2 = 4*u, 5*c + 4*u = 28. Let h(n) = 4*n + c*n + 4 - 2 - 3*n. What are the prime factors of h(3)? 29 Suppose -49*h + 40*h + 17856 = 0. List the prime factors of h. 2, 31 Let m be (6 + -3)/(9/(-6)). Let c be m/(-12) + 11/6. Suppose 4*n - 131 = -3*j, 0*n + 34 = n + c*j. List the prime factors of n. 2 Let k(v) = 14*v + 6. Suppose 4*y - 3 - 5 = 0. Let r(w) = 3*w + 1. Let f(z) = y*k(z) - 11*r(z). What are the prime factors of f(-3)? 2 Let l(g) = g**3 - 5*g**2 + 7*g - 4. Let y be l(4). Let d be 7/(28/40) - -1. Let p = y + d. List the prime factors of p. 19 Let n(j) = 19*j**3 - 8*j**2 + 10*j + 23. What are the prime factors of n(4)? 1151 Let p(z) = 37*z + 735. What are the prime factors of p(0)? 3, 5, 7 Let v(a) = 2*a + 2. Let p be v(2). Let f = p + 8. Suppose 11 = b - f. What are the prime factors of b? 5 Let j(r) = -27*r + 27. Let v be j(-3). Suppose -v + 276 = 2*t. What are the prime factors of t? 2, 3, 7 Let i = 181 + -127. Let d = -32 + i. List the prime factors of d. 2, 11 Let p = 579 - 392. What are the prime factors of p? 11, 17 Suppose -4*h + 13 = -7. Suppose -j + h*i - 3 = 0, i = -3*i + 4. Suppose -2*a = -j*w - 2*w + 56, -w + 4 = 2*a. List the prime factors of w. 2, 3 Let d be (-12 - 48)/(-2 + 0). Suppose 29*b = d*b - 216. List the prime factors of b. 2, 3 Let l(z) = -4*z**2 + 10*z - 6. Let j(y) = -y**2 + 1. Let h(f) = -3*j(f) + l(f). Let x be h(8). Suppose -x = -t + 9. List the prime factors of t. 2 Suppose 8*o = 36 - 12. Suppose -o*i + 168 = -0*i. List the prime factors of i. 2, 7 Suppose -t + 328 = 2*m, -2*m + 7*m = -4*t + 1309. What are the prime factors of t? 2, 163 Suppose 0 = -2*i - 0*i + 4. Suppose i*r - 7*r - 20 = 0. List the prime factors of (-8 - r) + 2 + 11. 3 List the prime factors of (6*2/16)/(2/1632). 2, 3, 17 Let o be -634*2/10 + (-7)/35. Let m = o + 320. List the prime factors of m. 193 List the prime factors of 2168/(3*(-8 + 98/12)). 2, 271 Suppose -2*f + 12 = 4*l, 5*l = -5*f - 1 + 6. What are the prime factors of 9/(-3)*-63 - 0/f? 3, 7 Suppose 0*m + 4*m - 5*b = 73, -2*m = -2*b - 34. Let a = m - -33. What are the prime factors of a? 3, 5 What are the prime factors of (-80880)/160*(-28)/3? 2, 7, 337 Let j(l) = 2 + 11 - 6*l - 7*l + 0. List the prime factors of j(-3). 2, 13 Let z = -290 - -335. What are the prime factors of z? 3, 5 Let s(p) = -342*p - 5. List the prime factors of s(-2). 7, 97 Let y(x) = x**3 - 2*x**2 - 4*x + 5. Let p = 5 + -2. Suppose p*w + 8 = 5*w. What are the prime factors of y(w)? 3, 7 Suppose 272*h - 96836 = 229*h. List the prime factors of h. 2, 563 Let a = 14 + -5. Suppose 383 = a*m - 112. List the prime factors of m. 5, 11 Suppose 10*l - 5*q - 815 = 9*l, 3236 = 4*l + 4*q. List the prime factors of l. 2, 3, 5 Let t(z) = z**2 - 7*z - 2. Let y be t(6). Let c = -1 + y. Let v(u) = u**2 + 7*u + 2. What are the prime factors of v(c)? 2, 5 Let x(t) = -t**3 + 13*t**2 - 13*t + 17. Let i be x(12). Suppose -i*s + 410 = -0*s. List the prime factors of s. 2, 41 Let d = -13 + -17. Let v = d + 2. What are the prime factors of (3 + -1)/((-4)/v)? 2, 7 Let u be (-5)/(-3) - 1/(-3). Suppose u*v + 8 = -n + 22, -v + n + 1 = 0. Suppose 2*o + 72 = v*o. What are the prime factors of o? 2, 3 Suppose 0 = 5*s - s - 16. Suppose l - 79 = -2*n, 280 = -0*l + 4*l - 4*n. Suppose -4*g + b + l = -3, 4*b - 96 = -s*g. What are the prime factors of g? 2, 5 Let q(u) = 13*u**2 + 24*u + 6. What are the prime factors of q(-8)? 2, 17, 19 What are the prime factors of (2*-150)/(5 - 963/189)? 2, 3, 5, 7 Suppose 4*v - 87 = -5*k, -2*k + 5*v - 75 = -6*k. Let b = -8 - 1. Let u = k - b. List the prime factors of u. 2, 3 Let t(n) = 31*n**3 - 3*n**2 + 16*n - 120. What are the prime factors of t(5)? 2, 5, 47 Let u be ((-1)/(-2))/(2/4). Suppose 3*c = 2*l - 14, 3*c - 7 + u = -3*l. List the prime factors of (0 + 172/16)*l. 43 Let h(u) = 19*u - 51. Let t(g) = -9*g + 25. Let c(i) = -4*h(i) - 9*t(i). Let w be c(6). Let p(z) = -z**3 + 10*z**2 - 3*z - 11. List the prime factors of p(w). 43 Let t be 5257/49 + (-6)/21. Suppose -2*p + 51 = -t. List the prime factors of p. 79 Suppose 40 = 4*x + 5*w, -x - 3*w - 2*w + 25 = 0. Let r(g) = 42*g + 2. Let b be r(4). Suppose x*q = -0*q + b. What are the prime factors of q? 2, 17 Let g(h) = -h + 5. Let q(y) = -1. Let l(x) = -g(x) - 3*q(x). Let d be l(9). Suppose 2*m - 3 - d = 0. List the prime factors of m. 5 List the prime factors of (-3 - -1007)/(0 - -2). 2, 251 Suppose 61 = -2*l - 119. Let t = -57 - l. List the prime factors of t. 3, 11 Let u(t) = -325*t**2 + 12 + 10 + 326*t**2 + 14*t. List the prime factors of u(-15). 37 Suppose 11 = j + y, 7 - 16 = -j - 3*y. Let z be 12/(-72) - (-62)/j. Suppose -z*u + u = -172. What are the prime factors of u? 43 Let x be (-5)/(45/(-24))*6/4. Suppose 0 = -x*k - 257 + 913. List the prime factors of k. 2, 41 Suppose 0*j = -3*j + 12. Suppose -a = -l + 2*l + 38, j = -2*a. What are the prime factors of -68*3/l*3? 17 Let t be 15/5 + 0 + 12. Let w = t + -19. Let d = 6 + w. List the prime factors of d. 2 Suppose 182*f = 196*f - 29050. List the prime factors of f. 5, 83 Let g be -24*3/((-36)/51). Let c = g - 40. List the prime factors of c. 2, 31 Suppose 3*o - 2*o = 1. Suppose 3*j = 2*j - 4*f + 17, f = -2*j - o. Let c(w) = 5*w**2 - 4*w - 3. List the prime factors of c(j). 2, 3 Let o = 84 - 50. Suppose 5*v - 3*p = 92 + o, 5*p = -5*v + 110. Suppose 0 = -v*u + 27*u - 96. What are the prime factors of u? 2 Suppose -4*i + 8*h - 3*h + 23 = 0, -4*i -
{ "pile_set_name": "DM Mathematics" }
Let w = t - 20237144. Let g = w + -14. Round g to five dps. -0.00006 Let h = 0.0795 + -0.062. What is h rounded to 3 dps? 0.018 Suppose 8*d = 6*d + 25200000. Round d to the nearest 1000000. 13000000 Suppose z + 125 = -4*z. Let g be (-15)/z + (-794)/(-10). What is g rounded to the nearest 100? 100 Let m = 104 - 153. Let q = -42.9 - m. What is q rounded to zero decimal places? 6 Let j be 5045 + 4/((-12)/15). What is j rounded to the nearest 1000? 5000 Let m = 12 - -22. Let b = m - 34.82. Round b to one dp. -0.8 Let p = 46.1 - 41. Round p to 0 dps. 5 Let r = -43 - -81.3. Let h = r - 25. Let d = h + -3. What is d rounded to the nearest integer? 10 Let z(t) = -t**2 + 7*t + 11. Let k be z(8). Suppose -k*i + i + 4 = 0. Suppose -3*d + r - 43 = -4*d, 4*r = i*d - 110. What is d rounded to the nearest 10? 50 Let n = 52 - 129. Let s = 50 + n. Let o = s - -26.99999885. What is o rounded to 7 dps? -0.0000012 Let m(y) = -617*y**3 - 6*y**2 - 4*y + 5. Let g be m(-5). Round g to the nearest 10000. 80000 Let g = -4842 + 4833.996. Let s = g - -8. Let h = -0.00400059 - s. What is h rounded to seven dps? -0.0000006 Let z = 51.077 - 0.077. Let v = 50.9878 - z. What is v rounded to 3 dps? -0.012 Let w = -1 + 0.625. Let m = 5.31 - 5. Let g = w + m. Round g to 2 decimal places. -0.07 Let l = 52.999999 - 53. Round l to five decimal places. 0 Suppose -5930 = -3*k + 2080. What is k rounded to the nearest 100? 2700 Let z = -30 - -27.6. Let r = z - 0.1. What is r rounded to zero decimal places? -3 Let p = 53 - 184. Let b = p - -88. Let u = b + 43.000037. What is u rounded to 5 decimal places? 0.00004 Let n = -3.22161 - -3.22. Round n to 3 dps. -0.002 Suppose 5*x - 1785 = 2*s, -2*s - x - 1534 = 221. What is s rounded to the nearest one hundred? -900 Let y = -211.98936 - -212. Let b = -0.27 + 0.28. Let u = b - y. Round u to 4 dps. -0.0006 Let x = 0.112 - 0.1. Let m = 0.01200108 - x. What is m rounded to 7 dps? 0.0000011 Let j = 8.79 + -1.09. What is j rounded to the nearest integer? 8 Suppose -3*v + 4 - 16 = 0, -u - 32008 = 2*v. Round u to the nearest one thousand. -32000 Let s(y) be the second derivative of -29*y**5/20 + y**4/6 - y**3/6 - 2*y**2 + 3*y. Let w be s(-3). What is w rounded to the nearest 1000? 1000 Suppose 2*p - 2*t + 14 = 0, 4*p - 9 + 38 = 5*t. Let k be 3/((-45)/p)*-5. Let o be (-4 + 3)/(k/(-166)). What is o rounded to the nearest 10? -80 Let g = -1945965 + 4105746. Suppose 2*x + 2*x + z + 8639109 = 0, x = -z - g. Let r = x + 1199776. Round r to the nearest one hundred thousand. -1000000 Let b = 1 + -3. Let x be (0 - 1)/(b/246). Let g = x + -73. Round g to the nearest 10. 50 Let y = 9.694 - 0.214. Let c = 8 - y. Round c to one dp. -1.5 Suppose 7*p = p. Suppose 4*j + 0*j + 764020 = 5*a, p = j - 4*a + 191016. Round j to the nearest 10000. -190000 Suppose 4*r - 5*l = -13090, -2*l = -11*r + 6*r - 16354. Round r to the nearest one thousand. -3000 Let i = -165 + 103. Let d = 137171354.999939 - 137171293. Let m = i + d. Round m to five dps. -0.00006 Let b = -1643209 - -623209. What is b rounded to the nearest one hundred thousand? -1000000 Let d = 2.43 - 0.89. Let r = 0.06 + d. What is r rounded to 0 decimal places? 2 Let o = -0.068 + -1.252. Let r = 0.22 + o. Let c = -1.0999877 - r. What is c rounded to six decimal places? 0.000012 Let a = 37.2 + -5.2. Let d = a - 31.9999971. What is d rounded to six dps? 0.000003 Let t = 682.999999453 + -683. What is t rounded to seven decimal places? -0.0000005 Suppose -5*d = -4*q + 2474, q - 3*d = -0*q + 615. Let t = -51 + q. What is t rounded to the nearest one hundred? 600 Suppose -3*z = -5*z - 5000. What is z rounded to the nearest one hundred? -2500 Let b be (-16)/6*127500/10. Round b to the nearest ten thousand. -30000 Let x = -26.1 - -4.8. Let g = x + 20. Let w = g - -1.299991. What is w rounded to 6 dps? -0.000009 Let g = 713.996 - 712. Let r = 5 + -3. Let p = g - r. What is p rounded to three dps? -0.004 Let h = 7.8 + -7.834. What is h rounded to 1 decimal place? 0 Let p = 0.0590092 - 0.059. What is p rounded to 6 decimal places? 0.000009 Let c = -1355 + 245. Let v be (898 - -2)/(9/c). Round v to the nearest ten thousand. -110000 Suppose -2*a = -4*j + 62253042, -27690713 = 4*j - 3*a - 89943758. Suppose j = 2*t - 13815359. Let z = t - 20789309. What is z rounded to the nearest 1000000? -6000000 Suppose 13 - 3 = 5*h. Let b(v) = 154443*v**h + 1 + 1 + 2 - 3*v. Let t be b(-3). Round t to the nearest one hundred thousand. 1400000 Suppose 2*m - 448 - 40 = p, 0 = 2*p + 2*m + 1006. What is p rounded to the nearest one hundred? -500 Let j = 8825425 - 8825432.0000008. Let o = -7 - j. What is o rounded to 6 decimal places? 0.000001 Let i = -1 - -1.4. Let d = 48484 + -48484.4000064. Let v = i + d. Round v to six dps. -0.000006 Let h = -8 - -7.2. Let z = h - -1.5. Let u = z - 0.70002. What is u rounded to 5 dps? -0.00002 Let s = -20.99999958 - -21. What is s rounded to 7 decimal places? 0.0000004 Let r = 3.529 - -0.331. Let y = -4.053 + r. Round y to 2 decimal places. -0.19 Let s = -30.968 - 0.032. Let w = s - -31.000105. Round w to 5 dps. 0.00011 Let f(l) = -62*l - 7. Let g be f(-2). What is g rounded to the nearest ten? 120 Let l = -16 - -3. Let r = -12.84 - l. What is r rounded to one dp? 0.2 Suppose -3*z = 316000 + 1784000. What is z rounded to the nearest one million? -1000000 Let p = -6 + 6.224. Let d = -1.434 + p. Let m = d + 0.33. What is m rounded to 1 dp? -0.9 Suppose 3*k = -3*t + 213, -k + 5*t + 34 = -25. What is k rounded to the nearest 10? 70 Let r(d) = -8616*d**3 + 6*d**2 - 8*d - 9. Let x be r(7). Let s = 10455059 + x. What is s rounded to the nearest 1000000? 8000000 Let q = 16 - 15.89. Let a = -0.1098 + q. Round a to three decimal places. 0 Suppose 2*f = 3*z + 47, 3*f + 3*z = -0*z + 93. What is f rounded to the nearest ten? 30 Let w = -5.3 + 3.7. What is w rounded to one decimal place? -1.6 Suppose -4*s - 4*o + 51384 = 0, 3*o + 0*o - 51384 = -4*s. Let d = -3146 + s. What is d rounded to the nearest 1000? 10000 Let y be 0 + 0 + 40997 + 3. What is y rounded to the nearest ten thousand? 40000 Let f be 1/2 - 18/12 - -44001. Round f to the nearest 10000. 40000 Let c = 8.34 - 8. Let t = c - 0.425. What is t rounded to 2 dps? -0.09 Let f = 9 - 12. Let s = 3524.478949 + -3521.479. Let g = f + s. What is g rounded to five dps? -0.00005 Let n be (-3 + -1 + -58)*-200. Suppose 0*k + 4*k - n = 0. What is k rounded to the nearest one thousand? 3000 Suppose 840 = -0*q + 3*q. Suppose q + 40 = 2*i. What is i rounded to the nearest 100? 200 Let i = 3.7 + -3.7095. Round i to 3 decimal places. -0.01 Let w(m) = -22562*m**2 - 527437*m**2 - 4*m + 0*m. Let a = 2 - -2. Let s be w(a). Round s to the nearest one million. -9000000 Let i = 674 + -114. Suppose 2*x - 2804 = 4*p, 2*x - 3851 = -3*p - 1054. Suppose 0 = 5*r + 2*j + 3*j + x, -i = 2*r + 3*j. Round r to the nearest 100. -300 Let o = 5.00017 + -5. What is o rounded to 4 decimal places? 0.0002 Let s = 25888244 - 13422362. Let x = 12465882.06200029 - s. Let i = x + -0.062. What is i rounded to seven dps? 0.0000003 Suppose -3 = -2*d + 1. Let v(i) = 6*i + 8*i - 4 - 42594*i**3 - 7*i**d - 6*i. Let x be v(-6). What is x rounded to the nearest 1000000? 9000000 Let v = 22 + -21.932. Let w = v + 29.932. Let c = 30.0000021 - w. Round c to 6 decimal places. 0.000002 Suppose r - 4*t = 6*r - 1223, -r = -3*t - 237. What is r rounded to the nearest 10? 240 Let k = -110.00000177 - -110. Round k to 7 decimal places. -0.0000018 Let w = 4.5 + -4.499982. Round w to five decimal places. 0.00002 Let b = 3 - 0. Suppose -b*v - v = -220000. Suppose 0*o - v = o. What is o rounded to the nearest ten thousand? -60000 Let v = -12.6 + -0.2. Let l = v - -12.7999943. What is l rounded to six dps? -0.000006 Let v = 10.1187 + -8.228. Let q = 1.9 - v. What is q rounded to three dps? 0.009 Suppose -20 + 1 = m - 3*w, -m - 3*w = -11. Let r = m - -7. Suppose 3*p + r*n = n - 22492, 2*p = n - 15004. Round p to the nearest one thousand. -8000 Let l = -5 - -5. Suppose b = 3 - l. Suppose -3*q + 866172 = b*w + 61766181, 4*w - 3*q = -81199991. What is w rounded to the nearest 1000000? -20000000 Let d = -0.058 - -0.05756. What is d rounded to four decimal places? -0.0004 Let q = 9.6946 - 0.0346. Let y = 0.86 - q. Let z = -10 - y. Roun
{ "pile_set_name": "DM Mathematics" }
0). Let j(p) be the first derivative of 41 + x*p**2 + 0*p. Let b(y) = -35*y. Determine b(j(c)). -35*c Let p(a) = -1696276*a**2. Let u(v) = 5*v**2. Calculate u(p(k)). 14386761340880*k**4 Let h(c) = -2070762*c + 12830. Let o(n) = -1291*n + 8. Let v(t) = -4*h(t) + 6415*o(t). Let w(f) = -10*f. What is w(v(y))? -12830*y Let l(q) be the first derivative of -q**2 + 4. Let a(f) be the third derivative of -95*f**4/3 + 111*f**2 - 3*f. Determine a(l(n)). 1520*n Let n(w) be the second derivative of w**6/180 - 31*w**3/6 + 31*w. Let s(p) be the second derivative of n(p). Let g(l) = 11*l - 6. Determine s(g(t)). 242*t**2 - 264*t + 72 Let p(i) = 42*i**2. Let t(d) = -d**2 - 4*d - 32. Let b(l) = -5*l - 40. Let n(o) = 4*b(o) - 5*t(o). Give n(p(w)). 8820*w**4 Let g(i) = 73*i**2. Let r(m) = -17*m**2 - 9*m - 221. Let k(d) = -8*d**2 - 5*d - 102. Let x(u) = 13*k(u) - 6*r(u). Calculate x(g(o)). -10658*o**4 - 803*o**2 Let a(b) = -260*b**2. Let q(o) = 7*o + 6. Let k(u) = 64*u + 56. Let c(j) = -3*k(j) + 28*q(j). Calculate a(c(f)). -4160*f**2 Let k(r) be the first derivative of -3*r**2/2 + 279*r - 338. Let m(l) = -3*l. Calculate k(m(h)). 9*h + 279 Let y(z) = 2*z**2 + 20*z. Let r(f) = -39*f + 6. Determine y(r(l)). 3042*l**2 - 1716*l + 192 Let p(h) = -10263132*h. Let w(f) = f. Determine p(w(s)). -10263132*s Let i(s) = -1773*s + 3543*s - 1792*s. Let y(m) = 13*m. What is y(i(r))? -286*r Let p(a) = -2*a**2 + 4*a. Let g(n) be the third derivative of 7*n**5/30 - 433*n**2 - 3*n - 2. Give g(p(j)). 56*j**4 - 224*j**3 + 224*j**2 Let k(n) = -430*n**2. Let t(v) be the third derivative of -v**4/6 - 1279*v**2. Determine k(t(o)). -6880*o**2 Let q(u) = -u**2 + 23305551. Let z(g) = -g. Give z(q(j)). j**2 - 23305551 Let d(r) = 41*r - 137. Let y be d(8). Let s(m) = y*m + 12*m**2 - 191*m. Let j(w) = 2*w**2. Calculate j(s(v)). 288*v**4 Let r(k) = -3*k. Let b(t) be the second derivative of t**4/6 - 232*t**2 - 8*t - 69. Determine b(r(u)). 18*u**2 - 464 Let j(v) = -v**2 + v**2 + v**2. Let c be 29/((-232)/(-9600)) - (-5)/1. Let x(m) = -1205 + c + 30*m**2. Give j(x(u)). 900*u**4 Suppose -2*v - 26*r - 15 = -21*r, -3 = v + r. Let x(j) be the third derivative of 0*j + 0 + 26*j**2 + v*j**3 - 1/4*j**4. Let z(q) = 6*q**2. Give x(z(d)). -36*d**2 Let y(h) be the third derivative of -h**5/30 - 307*h**3/6 - 29*h**2 - 5*h. Let o(k) = 4*k. Calculate o(y(t)). -8*t**2 - 1228 Let j(h) be the second derivative of -h**3/6 + 22*h - 35. Let r(a) = 634*a**2 - 3*a - 2. Calculate r(j(n)). 634*n**2 + 3*n - 2 Let g(h) = -147 + 147 - 617*h + 1206*h - 613*h. Let m(k) = 14*k**2. Determine m(g(j)). 8064*j**2 Let q(v) = -49*v. Let p(w) be the second derivative of w**4/12 - 698*w. Give q(p(r)). -49*r**2 Let t(b) = 237*b + 34. Let v(r) = -3*r. Let p(q) = t(q) + 3*v(q). Let n(k) = -91*k - 14. Let h(w) = 12*n(w) + 5*p(w). Let s(c) = 2*c**2. Determine h(s(i)). 96*i**2 + 2 Let r(i) = 3*i. Let l = -525 + 3425. Suppose 2*a + 15 = -3*a, -4*a = 4*o - 11588. Let z(g) = -o + l - 16*g. Determine r(z(q)). -48*q Let u(o) = 76*o - 3265. Let t be u(43). Let n(w) be the first derivative of 0*w + 5/3*w**t + 0*w**2 + 22. Let v(d) = -2*d. Calculate v(n(s)). -10*s**2 Let b(a) = 102*a**2. Let o(y) = 11*y + 180. Let u(l) = 5*l + 80. Let c(n) = 16*o(n) - 36*u(n). Determine b(c(k)). 1632*k**2 Let w(v) = 5*v. Let g(r) = 49732719*r**2. What is w(g(f))? 248663595*f**2 Let m(q) = 33*q**2 + 5*q + 5. Let u(c) = 49*c**2 + 8*c + 8. Let o(b) = -8*m(b) + 5*u(b). Let t(l) = -82*l - 316*l + 397*l. Calculate t(o(p)). 19*p**2 Let p(j) be the second derivative of -8*j + 0 + 0*j**2 - 1/6*j**3. Let z(t) = -9*t - 6. Let u(i) = 26*i + 17. Let w(d) = 6*u(d) + 17*z(d). Determine p(w(k)). -3*k Let n(h) = -117436*h. Let d(y) = 11*y - 7. Determine d(n(u)). -1291796*u - 7 Let j(k) = -379603*k + 8. Let m(s) = 2*s**2. What is j(m(q))? -759206*q**2 + 8 Let l(v) = -3*v. Let t(d) = -51*d + 19. Let r(u) = -18*u + 6. Let x(q) = 21*r(q) - 6*t(q). Let a(s) = -s + 2. Let f(j) = 6*a(j) - x(j). Determine l(f(k)). -198*k Let x(r) = -5*r - 2. Let z(h) = -6*h - 3. Let y(k) = 3*x(k) - 2*z(k). Let v(p) be the first derivative of 0*p - 15/2*p**2 - 4. What is y(v(c))? 45*c Let f(d) = 485 + 61879*d**2 - 485 - 61898*d**2. Let g(c) = 448*c. Give g(f(y)). -8512*y**2 Let f(s) = -2382*s**2 + 7*s. Let w(k) = 1035*k. Determine w(f(a)). -2465370*a**2 + 7245*a Let b be -5 + 16/(112/441). Let m(c) = -129*c + b*c + 72*c. Let a(u) = 584*u**2. Calculate a(m(q)). 584*q**2 Let v(p) = -297*p. Let b(z) = 3*z - 100. Let k(t) = -5*t + 175. Let u(o) = -7*b(o) - 4*k(o). Determine v(u(a)). 297*a Let r(q) = -q**2 - 995. Let k(a) = 143331*a. Give k(r(i)). -143331*i**2 - 142614345 Let s(b) be the first derivative of -2*b**3/3 + 7894. Let x(g) = -622*g + 1. Determine x(s(n)). 1244*n**2 + 1 Suppose 0 = -4*v - 0*v. Let z = 266 + -262. Let x(h) = v*h + 2*h - z*h - h. Let l(b) = 8*b. Determine x(l(c)). -24*c Let t(i) be the second derivative of 135*i**4/4 - 333*i - 3. Let y(k) = 4*k. Determine y(t(n)). 1620*n**2 Let t(k) = 8*k. Let b(n) = 396*n + 4. Let j be b(1). Let z(q) = 407 - 807 + 19*q + j. What is t(z(g))? 152*g Let g(b) be the first derivative of 38*b**3 + 150. Let c(v) = 39*v - 11*v - 14*v - 13*v. What is c(g(q))? 114*q**2 Let q be ((-60)/(-24))/((-1)/2). Let o = q - -17. Let w(f) = -19 + o + 7 + f. Let s(c) = -4*c. Determine w(s(v)). -4*v Let r(a) = -37*a + 31. Let z(q) = 370*q - 201*q - 171*q. What is z(r(n))? 74*n - 62 Suppose 10*c - 1 = 9*c. Let b = 4 + c. Let x(i) = -3 + 3 - 2*i - b. Let v(n) = -2*n**2. Give x(v(p)). 4*p**2 - 5 Let h be (-144)/108 - (-10)/3. Let y(n) = -h*n + 414 - 414. Let j(i) = -34*i + 1. Determine j(y(f)). 68*f + 1 Let q(u) = u + 1. Let w be 1 + -6 - (-11 + 3). Let i = -1 + w. Let j(l) = -12*l**i - 5*l**2 + 22*l**2 - 7*l**2. Give j(q(h)). -2*h**2 - 4*h - 2 Let f = -788 + 848. Let z(o) = -36 - 3*o - f + 96. Let u(l) = -l**2 - 1. Let s(n) = -20*n**2 + 1. Let m(p) = -s(p) - u(p). What is z(m(x))? -63*x**2 Let l(p) = -26*p + 3 + 73*p + 34*p - 4 - 5. Let t(j) = -3*j. Give t(l(x)). -243*x + 18 Let j(y) = -53*y + 12. Let l(o) = 52*o - 10. Let b(d) = 5*j(d) + 6*l(d). Let f(q) = 2*q**2. Let c(s) = -s**2. Let n(m) = 9*c(m) + 4*f(m). Give b(n(r)). -47*r**2 Suppose -38*v = -35*v + 30. Let r be (4/5)/(v/(-25)). Let q(n) = -10*n**2 + 4*n**2 + 2*n**r. Let a(c) = -2*c**2. Give q(a(x)). -16*x**4 Let f(z) = -374*z - 374*z + 749*z. Let u(w) = 243*w. Give u(f(r)). 243*r Let k(j) = -43*j. Let v(p) = -7*p - 553585. Determine v(k(r)). 301*r - 553585 Let w(i) = -2*i**2 + 62. Let t(k) be the third derivative of 17*k**4/24 - 882*k**2. Give t(w(c)). -34*c**2 + 1054 Let x(r) = -1856*r. Let t(s) = 17*s - 12*s - 4*s + 6*s. What is t(x(d))? -12992*d Suppose 4*q + 4*t - 33 = 163, -2*t + 142 = 3*q. Let u(b) = 99*b + 44 - q. Let n(x) = x. Give n(u(s)). 99*s Let q(y) be the second derivative of y**3 + 80*y. Let i(p) = 426 - 213 + 3*p - 213. Determine q(i(n)). 18*n Let u(i) = 2*i**2 - 60. Suppose d - 108 = -z, 3*d + 110 = -z + 444. Let a(g) = -113*g + 227*g - d*g. What is a(u(o))? 2*o**2 - 60 Let p(d) = -d**2. Suppose -392 = -108*n - 97*n + 18. Let x(k) be the second derivative of -33*k + 0*k**n + 0 - 5/6*k**3. Determine p(x(v)). -25*v**2 Let f(l) = 2*l. Let b(x) = 56*x**2 - 3*x - 9. Let d be b(-3). Let n(z) = -254*z**2 - 98 + d*z**2 - 248*z**2. What is n(f(t))? 8*t**2 - 98 Let r be (-21409)/(-1897) - (-4)/(-14). Let q(g) be the second derivative of 7/6*g**3 + 0 + 0*g**2 - r*g. Let a(j) = 4*j**2. Give q(a(x)). 28*x**2 Let h(d) = d - 38. Let z(j) = 4*j - 136. Let c(u) = -5*h(u) + z(u). Let b(n) = 10*n**2. What is b(c(r))? 10*r**2 - 1080*r + 29160 Let k(f) be the second derivative of f**3/3 + 157*f. Let d(b) = 36*b**2 + 10 + 8 - 16. Determine d(k(n)). 144*n**2 + 2 Let z(f) = -17*f. Let s(y) = 421*y. Let t(o) = -10572*o. Let k(n) = -153*s(n) - 6*t(n). What is z(k(q))? 16677*q Let x(q) be the first derivative of 24*q**2 + 1057. Let p(v) = 7*v. Calculate p(x(s)). 336*s Let w(x) = 55*x - 9*x - 13*x - 17*x - 12*x. Let m(i) = -26*i**2 + 15. Calculate m(w(g)). -416*g**2 + 15 Let d(j) = 2484379*j. Let b(m) = -6*m + 26. What is b(d(c))? -14906274*c + 26 Let d(l) be the third derivative of 0*l**3 + 0 - 170*l**2 + 0*l + 0*l**4 - 11/60*l**5. Let f(m) = -3*m. What is f(d(s))? 33*s**2 Let n be ((-52)/(-20))/((-2)/(-10)). Let i(o) = 29*o**
{ "pile_set_name": "DM Mathematics" }
s + 7*s + 6*s. Let c(p) = -p + 1602. Determine n(c(b)). -b + 1602 Let d(q) be the second derivative of 2*q**3/3 - 5*q**2 + 121*q. Let i(o) = -o + 3. Let v(t) = 6*d(t) + 20*i(t). Let m(h) = -4*h**2. Calculate v(m(n)). -16*n**2 Let t(f) = -9*f - 38. Let r = 43 + -49. Let n be t(r). Let s(a) = n*a**2 - 5*a**2 - 4*a**2 - 5*a**2. Let m(v) = v - 37. Give m(s(z)). 2*z**2 - 37 Let a(o) = -3*o**2. Let f(b) = -156*b - 98*b + 112*b + 114*b - 286*b. Calculate a(f(n)). -295788*n**2 Let c(x) = 7 + 3944*x**2 - 7912*x**2 + 3986*x**2. Let u(r) = 12*r. Give c(u(g)). 2592*g**2 + 7 Let k(r) = 653346*r + 8. Let a(c) = 9*c. What is a(k(s))? 5880114*s + 72 Let l(v) = 4*v. Let r(h) be the first derivative of 190*h**3/3 - 390. Give r(l(t)). 3040*t**2 Let t(s) = -95*s**2 + 1. Let f(k) = 19*k**2 + 4. Let y(z) = 77*z**2 + 16. Let w(g) = -4*f(g) + y(g). Give t(w(j)). -95*j**4 + 1 Let i(n) = -n**2. Let b(t) = 59*t - 4812345. Determine b(i(p)). -59*p**2 - 4812345 Let o(r) = r**2 + 855*r - 8297. Let k(q) = -3*q. What is k(o(t))? -3*t**2 - 2565*t + 24891 Let d(u) = 18 - 73*u + 160*u + 124*u - 18. Let y(b) = -b. Calculate d(y(m)). -211*m Let g(y) = 29*y**2. Let s(h) = 2165471*h**2. What is s(g(l))? 1821161111*l**4 Let c(t) = 1767*t. Let y(n) = 8157*n**2. Determine y(c(a)). 25468511373*a**2 Let w(t) = -90*t**2. Suppose 11*j - 4*i + 2 = 10*j, -2*i + 8 = 3*j. Let h(m) = -2*m + 28*m**2 + j*m + 33*m**2 - 60*m**2. Determine w(h(b)). -90*b**4 Let r(f) = -16988817*f. Let a(h) = -2*h**2. Calculate a(r(d)). -577239806118978*d**2 Let v(y) = -28*y + 42. Let t(n) = 2977*n + 2. What is t(v(q))? -83356*q + 125036 Let t(u) = -2*u**2 + 20*u. Let v(l) = -7191*l. Give t(v(f)). -103420962*f**2 - 143820*f Suppose 31 + 131 = 18*u. Let g(q) = -13*q + 9. Let w(z) = 6*z - 4. Let f(s) = u*w(s) + 4*g(s). Let a(k) = -8*k - 1. Calculate a(f(h)). -16*h - 1 Let t = 386 - 329. Let j(k) = 325 + t*k - 325. Let q(r) = -2*r**2. Calculate q(j(z)). -6498*z**2 Let v(a) = 3 - 6 + 3 + 855358*a**2 - 855280*a**2. Let t(q) = 21*q - 3. Calculate t(v(g)). 1638*g**2 - 3 Let v(q) = 15*q. Let o(h) = -40*h**2 - 34428*h. Give o(v(y)). -9000*y**2 - 516420*y Let p(d) = 2*d**2 + 21. Let g(f) be the third derivative of 19*f**4/8 + 6757*f**2. Calculate p(g(o)). 6498*o**2 + 21 Let a(m) = 2*m - 1. Let n(z) = -7 - 4 - 3*z + 7 + 6. Let k(f) = 2*a(f) + n(f). Let s(c) = 8*c. Determine k(s(y)). 8*y Let k(s) = 11*s - 60. Let c(a) = 175*a - 945. Let y(z) = -4*c(z) + 63*k(z). Let g(n) = 91*n**2. Determine g(y(p)). 4459*p**2 Let y(x) = 754*x**2. Let z(j) = -14761*j**2. Calculate y(z(v)). 164286889234*v**4 Suppose -10*g = 7*g - 34. Let j(u) = -2*u - 5*u**2 - u**2 + g*u. Let s(m) = 4*m**2. Determine j(s(l)). -96*l**4 Let o(v) = -61998*v. Let k(n) = -2*n**2 - 122. Determine o(k(y)). 123996*y**2 + 7563756 Let k(c) = -56*c**2 + 25*c**2 + 4 + 25*c**2 - 4. Let a(o) = 243*o. What is k(a(w))? -354294*w**2 Let s(h) = -31466110*h + 31466110*h - 6*h**2. Let z(l) be the first derivative of 0*l + 1 - 7/2*l**2. Give z(s(t)). 42*t**2 Let s(l) = 20*l**2. Let u(y) be the first derivative of 6043 - 2*y**3 - 6099 + 3*y**3. Determine s(u(j)). 180*j**4 Let j(z) = z**2. Suppose 0 = -36*l - 1282 + 1822. Let n(f) be the first derivative of 0*f + 0*f**2 - 10/3*f**3 + l. Give j(n(t)). 100*t**4 Let o(n) = -14*n**2. Let z(u) = 219069*u - 31. Determine z(o(r)). -3066966*r**2 - 31 Let w(d) = -54*d. Let z(o) be the third derivative of o**7/840 - 23*o**4/12 - 180*o**2. Let b(h) be the second derivative of z(h). Give b(w(y)). 8748*y**2 Let m(a) = -173676898*a. Let z(u) = u. Calculate m(z(v)). -173676898*v Let c(r) = 4*r + 11. Let x(u) = 34*u + 37*u - 94*u. Give c(x(d)). -92*d + 11 Let w(k) = -302*k + 666. Let c(o) = -33*o + 72. Let g(i) = 37*c(i) - 4*w(i). Let u(p) = 3 - 3 + 6*p. Calculate u(g(s)). -78*s Let x(a) = 8982*a**2. Let l(z) = -2*z - 445. What is l(x(r))? -17964*r**2 - 445 Let a(l) = l + 1. Let r(h) = -h + h - 189*h**2 + 92*h**2 + 100*h**2. What is r(a(m))? 3*m**2 + 6*m + 3 Let g(n) = -15*n. Let b(l) = 3*l + 1. Let d(y) = -2*y - 4. Let p(c) = -4*b(c) - d(c). Determine p(g(j)). 150*j Let t(b) = b**2. Let s be (-9 + 9 - 4) + 4. Let c(d) be the third derivative of s + 11*d**2 + 0*d**3 + 5/24*d**4 + 0*d. Calculate t(c(y)). 25*y**2 Let f be ((-8)/(-20))/(4/(-20)) - -35. Let j be f/(-2)*(-4 + 40/12). Let g(m) = j*m - 12*m - 5 + 5. Let t(z) = 10*z**2. Give g(t(q)). -10*q**2 Let o(m) be the third derivative of m**4/3 + 2*m**2 + 1338*m. Let d(k) = 20*k**2. Calculate d(o(q)). 1280*q**2 Let n(a) = -3*a - 2182. Let o(f) = -20173*f**2. Give n(o(h)). 60519*h**2 - 2182 Let f(m) = 2*m**2. Suppose 4*v - 552 = 60. Let g(j) = 36*j + v*j + 145*j. Give g(f(n)). 668*n**2 Let h(f) = 10*f**2. Let d(w) = -17*w**2 + 21*w. Let y(o) = 14*o**2 - 18*o. Let m(x) = -5*d(x) - 6*y(x). Give h(m(l)). 10*l**4 + 60*l**3 + 90*l**2 Let w(z) = 3942 + 2*z**2 - 3942. Let j(o) = 3075*o**2. Calculate j(w(u)). 12300*u**4 Let f(y) = -20*y + 20. Let l(p) = 9*p - 8. Let r(s) = -2*f(s) - 5*l(s). Let t(o) = 8*o + 5*o - 10*o. Give t(r(v)). -15*v Suppose -4*j = -m + 24 - 80, 52 = 4*j - 2*m. Let n(v) = 15*v - j*v - 32*v. Let c(u) = -5*u - 6. Let r(f) = -f - 1. Let h(i) = c(i) - 6*r(i). What is h(n(p))? -32*p Let a(p) = -p. Let t(w) = 60393408 - 60393408 + 2836*w. Determine t(a(f)). -2836*f Let x(g) = -4923*g. Let j(m) = 34268*m. What is x(j(u))? -168701364*u Let h(i) = -1204*i - 292*i**2 + 2 + 603*i + 601*i. Let k(c) = 2*c**2. What is k(h(t))? 170528*t**4 - 2336*t**2 + 8 Let q(n) = -6*n - 3389. Let l(d) = 8*d + 3388. Let f(r) = 4*l(r) + 5*q(r). Let u(j) = -j. Give u(f(a)). -2*a + 3393 Let d(g) = -6*g**2 + 2. Let m(o) = 63956327 - 63956327 - 3*o**2. Give m(d(t)). -108*t**4 + 72*t**2 - 12 Let r(s) be the third derivative of -13*s**4/12 - 2*s**2. Let l(f) be the third derivative of -1/30*f**5 + f**2 + 0 + 0*f**3 + 0*f**4 - 6*f. Calculate r(l(p)). 52*p**2 Let l(g) be the third derivative of -g**5/60 + 9*g**2. Let o(m) = -18*m**2. Let k be (2/2)/(6/90). Let n(p) = k*l(p) - o(p). Let c(h) = h**2. What is n(c(z))? 3*z**4 Let x(o) = o**2 - 3*o**2 - 6*o**2 + 0*o**2. Let k(a) be the third derivative of 0 + 4*a**2 + 0*a - 1/8*a**4 + 0*a**3. What is x(k(v))? -72*v**2 Let g(c) = -7*c. Let s(x) be the third derivative of -7*x**5/60 - 19*x**3/6 - 19*x**2 + 1. Let z(r) be the first derivative of s(r). Give z(g(t)). 98*t Let j(m) = 745219*m**2. Let x(f) = -7*f**2. Calculate j(x(b)). 36515731*b**4 Let t(x) = 14*x - 7. Let z(k) = 17*k + 1. Let i(v) = 14*v. Let y(a) = -4*i(a) + 3*z(a). Let s(f) = -3*t(f) - 8*y(f). Let c(r) = 2*r. Determine s(c(o)). -4*o - 3 Let v(w) = -w. Let n(r) be the second derivative of 44*r - 85/3*r**4 + 1 + 0*r**2 + 0*r**3. Give v(n(u)). 340*u**2 Let r(p) = -14026*p. Let k(z) = -2163*z**2. Give r(k(l)). 30338238*l**2 Let x(i) = 2*i - 26. Let b = 18 + -16. Let s(l) be the first derivative of 2*l + 265*l**2 + 29 - b*l - 266*l**2. Determine s(x(j)). -4*j + 52 Let x(s) = -5*s**2 - 6*s. Let g(w) = 8*w**2 + 9*w. Let i(p) = -2*g(p) - 3*x(p). Let u(h) = 29*h**2. Calculate u(i(n)). 29*n**4 Let y(u) = -5*u + 75. Suppose 0 = 4*d - 16, 13*d - 14*d = -2*p - 2. Let o(a) = a - 3. Let i(h) = p*y(h) + 4*o(h). Let w(l) = -4*l. Give i(w(k)). 4*k + 63 Let z(r) = r**2. Let q(j) = -5248*j**2 + 1176*j + 1. Calculate q(z(c)). -5248*c**4 + 1176*c**2 + 1 Let n(l) = 183*l. Let r(j) = 747899*j. Determine n(r(c)). 136865517*c Let z(o) = 36*o. Let i(y) be the second derivative of 7*y**3 + 352*y. Give i(z(d)). 1512*d Let h(x) = -4*x. Let m(g) = -12*g + 7. Let n(y) = 5*y - 3. Let z(i) = -2*i - 57. Let o be z(-27). Let r(u) = o*m(u) - 7*n(u). Give r(h(l)). -4*l Let n = -90 + 42. Let k(u) = 56*u**2 + 48*u - 48. Let w(m) = -m**2 - m + 1. Let a(j) = n*w(j) - k(j). Let o(r) = 5*r - 3*r + 0*r. Calculate a(o(f)). -32*f**2 Let o(l) = 26*l - 57*l + 16*l + 22*l + 57. Let g(i) = i. Give o(g(c)). 7*c + 57 Let i(s) = -7057 + s + 7057 - s + s**2. Let a(t) be the third derivative of t**4/6 - t**3/6 + 3*t**2. What is i(a(u))? 16*u**2 - 8*u + 1 Let o(t) be the first derivative of -3*t**2 - 896. Let r(n) = -159*n. What is o(r(m))? 954*m Let i(k) be the first derivative of -k**5/8 - 4*k**3/3 - 12*k + 70. Let v(m) be the third derivative of i(m). Let n(l) = -6*l**2. Give v(n(j)). 90*j**2 Let w(u) = -2*u**2 + 449. Let h(a) be the second derivative of a**4/6 + 23
{ "pile_set_name": "DM Mathematics" }
1) Let n = -11/3965 + 63561/43615. Factor 0 + 2/11*i**2 - n*i. 2*i*(i - 8)/11 Let c(t) be the second derivative of t**4/3 - 16*t**3 + 280*t**2 + 119*t - 3. Factor c(y). 4*(y - 14)*(y - 10) Factor -245/2*q + 1830 - 5/2*q**2. -5*(q - 12)*(q + 61)/2 Let a(u) be the third derivative of 1/66*u**4 + 1/33*u**3 + 0*u + 1/330*u**5 - 46*u**2 + 0. Suppose a(t) = 0. What is t? -1 Suppose -20*t - 252 = -11*t. Let c be (-2 - (-22)/3) + (t - -23). Factor c*z**3 + 0 + 1/3*z**2 - 2/3*z. z*(z - 1)*(z + 2)/3 Let t = -1/2031572 - -4063151/14221004. Factor 0 + t*r**3 - 6/7*r**2 - 20/7*r. 2*r*(r - 5)*(r + 2)/7 Solve -35/3*x - 1/6*x**3 + 71/6*x**2 + 0 = 0. 0, 1, 70 Suppose 3678 = -4*c - 2*z, 2*z + 1105 = -3*c - 1653. Let b be 6/21 - c/210. Factor 10/3*u**2 - 4/3 - 8/3*u**3 + b*u. -2*(u - 2)*(u + 1)*(4*u - 1)/3 Let v = 55 + 16. Factor 67*g**3 - v*g**3 - 223 + 59*g**2 - 320*g + 17*g**2 - 177. -4*(g - 10)**2*(g + 1) Let n be (-45)/40 - (-2412)/2144. Factor n + 1/7*s**2 - 2/7*s. s*(s - 2)/7 Let q(d) = -d**4 - 93*d**3 - 580*d**2 - 1002*d - 517. Let h(c) = -5*c**4 - 187*c**3 - 1158*c**2 - 2002*c - 1033. Let z(b) = -6*h(b) + 14*q(b). Solve z(l) = 0. -2, -1, 65/4 Let s(d) = -526*d**3 - 6*d**2 - 3*d + 2. Let z be s(-1). Factor 135*f + 56*f**3 - 109*f**3 - 9*f**2 + z + 50*f**3. -3*(f - 7)*(f + 5)**2 Let z(x) be the second derivative of 0*x**2 + 70*x + 0*x**3 + 0*x**5 + 0 + 1/20*x**6 + 0*x**4. Factor z(r). 3*r**4/2 Let -9 - 856*f + 729*f**2 - 23 + 1734*f + 2586*f + 139*f**2 = 0. Calculate f. -4, 2/217 Suppose -943*j = 96*j - 2078. Factor -162*n**j + 3*n**3 - 657/4*n - 165/4. 3*(n - 55)*(2*n + 1)**2/4 Let z be (24 - (-30400)/(-1254))*-9. Solve z*i**2 + 2/11*i**5 + 0 + 38/11*i**3 + 0*i + 16/11*i**4 = 0. -4, -3, -1, 0 Let a(j) = -j**2 - 3*j**2 + 24*j - 128 - j**2 + 5*j. Suppose -2*b + 6*b + 12 = 0. Let v(k) = k**2 + k. Let d(w) = b*v(w) - a(w). Suppose d(y) = 0. What is y? 8 Factor 96*z + 234/5*z**2 + 9*z**3 + 3/5*z**4 + 288/5. 3*(z + 1)*(z + 4)**2*(z + 6)/5 Let w = -253 - -244. Let k be (1305/260)/w*-8. Factor -k*y + 14/13 + 8/13*y**2. 2*(y - 7)*(4*y - 1)/13 Let l(b) be the third derivative of b**8/1680 + 13*b**7/1050 + 41*b**6/600 + 47*b**5/300 + 3*b**4/20 - 283*b**2. Solve l(j) = 0 for j. -9, -2, -1, 0 Solve 7260*f + 513*f**4 - 2845*f**3 - 4180*f**2 - 287*f**4 - 5*f**5 - 456*f**4 = 0 for f. -22, -3, 0, 1 Let l(o) = -o**2 + 2*o. Suppose -14*x + 9*x = -5. Let m(i) = -6*i + 5. Let r(u) = x*l(u) + m(u). Solve r(f) = 0 for f. -5, 1 Suppose 5*i = 4*b + 15, 3*i - 6*i + 3*b = -9. Determine s, given that -3*s**2 + 0*s**i - s**3 - 28 + s + 21 + 10 = 0. -3, -1, 1 Let n = -2419199/120 + 20160. Let b(j) be the second derivative of 1/80*j**5 + 13*j + n*j**6 + 0 + 0*j**2 - 1/24*j**3 - 1/48*j**4. Factor b(x). x*(x - 1)*(x + 1)**2/4 Let l(v) be the first derivative of -3*v**4/4 + 1818*v**3 - 1652562*v**2 + 667635048*v - 1774. Determine o, given that l(o) = 0. 606 Let n(l) be the first derivative of -l**7/4200 - l**6/360 + 4*l**3/3 - 189. Let r(d) be the third derivative of n(d). Factor r(a). -a**2*(a + 5)/5 Suppose 291*z - 3*w = 296*z - 36, 4*z - 4*w = -16. Let -8/3*t**2 - 8/3*t**z + 2/3*t**5 + 2/3*t**4 + 0*t + 0 = 0. What is t? -2, -1, 0, 2 Let o(u) = 12*u**2 - 4*u - 10. Let q(m) = m**2 + m - 1. Let l = 25 + -77. Let a = -50 - l. Let s(r) = a*o(r) - 44*q(r). Solve s(g) = 0 for g. -3, 2/5 Suppose 5/2*a**3 + 65*a - 40 - 55/2*a**2 = 0. What is a? 1, 2, 8 Let h = 8828/15 + -8732/15. Factor 28/5*t - 4/5*t**2 + h. -4*(t - 8)*(t + 1)/5 Suppose -20/7*q**3 + 0 - 184/7*q**2 - 36/7*q = 0. What is q? -9, -1/5, 0 Let o be (73/146)/((-6)/(-9))*64/78. Let -2/13*w**5 - 6/13*w**3 + 0*w**2 + 0*w + o*w**4 + 0 = 0. What is w? 0, 1, 3 Let g(k) be the third derivative of -k**5/60 - 213*k**4/8 - 2188*k**2. Find x, given that g(x) = 0. -639, 0 Suppose -3*i + 2*f = -31, -1665 + 1621 = 4*f. Determine m, given that 3/4 + 3/4*m**4 + 15/4*m + 15/4*m**5 - 15/2*m**i - 3/2*m**2 = 0. -1, -1/5, 1 Let h(i) = 5*i**3 + 26*i**2 - 33*i + 14. Let k(c) = 7*c**3 + 26*c**2 - 32*c + 14. Let a(t) = 5*h(t) - 4*k(t). Solve a(r) = 0 for r. 2/3, 1, 7 Find j, given that 46353*j**3 + 5*j**5 + 53980*j**2 - 196000*j - 995*j**4 + 2627*j**3 + 10253 - 210253 = 0. -2, -1, 2, 100 Let u(x) be the first derivative of 2*x**5/25 + 89*x**4/20 - 182*x**3/3 - 477*x**2/10 + 476. Determine f, given that u(f) = 0. -53, -1/2, 0, 9 Suppose -u + y = -2*u - 1, 2*y + 6 = 0. Let 23*t**2 - 8*t**3 - 35*t**2 - 4*t**4 + 24*t**u = 0. What is t? -3, 0, 1 Let l(o) be the second derivative of o**5/10 - 8*o**4/3 - 55*o**3/3 - 38*o**2 + 683*o. Solve l(v) = 0. -2, -1, 19 Factor -87 - 263/2*j - 45*j**2 - 1/2*j**3. -(j + 1)*(j + 2)*(j + 87)/2 Let v(r) = r**3 + 200*r**2 + 847*r - 1068. Let p(j) = -2*j**3 - 391*j**2 - 1692*j + 2135. Let b(h) = 4*p(h) + 10*v(h). Factor b(t). 2*(t - 1)*(t + 5)*(t + 214) Let v = 53/5359 - 369150045/69667. Let q = -5296 - v. What is p in -2*p**2 - 2/13*p**4 + 14/13*p**3 + q - 6/13*p = 0? -1, 2, 3 Suppose 2*h + 16*b - 11*b = 30, -3*h = 4*b - 38. Let c be 5 + -15 - -1*h. Factor -1/3*p - 1/3*p**2 + c. -p*(p + 1)/3 Let f(y) = -5*y**3 - y**2. Let q be f(-1). Suppose 0 = q*i - 5*v - 96, -4*v = 2*i - 5*i + 71. Factor 24*z**2 + 6*z - i*z**2 + 3*z + z. -5*z*(z - 2) Let c(r) be the third derivative of r**5/300 - 11*r**4/40 - 74*r**3/15 + 423*r**2. Let c(w) = 0. Calculate w. -4, 37 Let x(u) be the third derivative of u**7/840 + u**6/90 + 119*u**3/6 - 55*u**2 - 3*u. Let l(j) be the first derivative of x(j). Factor l(t). t**2*(t + 4) Let f(v) be the first derivative of 34*v**5/5 - 86*v**4 + 890*v**3/3 - 50*v**2 - 1070. Factor f(i). 2*i*(i - 5)**2*(17*i - 2) Let j(q) be the third derivative of -4075/84*q**4 + 6883/42*q**5 + 3872/735*q**7 + 109*q**2 - 19681/420*q**6 + 0 + 125/21*q**3 - 32/147*q**8 + 2*q. Factor j(w). -2*(w - 5)**3*(16*w - 1)**2/7 Suppose 3*f + 15 = -5*p, -f - 593 = 2*p - 588. Let h(c) be the first derivative of p*c + 3/16*c**2 - 1/2*c**3 - 3 + 3/8*c**4. Factor h(k). 3*k*(2*k - 1)**2/8 Suppose -3*n - 2*o + 12 + 12 = 0, 4*n + 3*o = 34. Let p be 1*(-5 - 1)/(-2). Factor 1/2*q**2 + n - p*q. (q - 4)*(q - 2)/2 Let c(y) = -4*y + 8. Let b be c(3). Let o = b - -6. Factor 8*v**2 + 3*v**3 - o*v**3 - 10*v**2. v**2*(v - 2) Let 75*x**2 + 170*x + 26*x**2 - 18*x**2 - x**3 = 0. What is x? -2, 0, 85 Let x(g) be the first derivative of -g**6/1080 - 7*g**5/360 + 25*g**3/3 - 60. Let a(r) be the third derivative of x(r). Factor a(m). -m*(m + 7)/3 Let z(q) be the first derivative of 4*q**2 - 18/7*q + 129 - 2/7*q**3. Let z(y) = 0. What is y? 1/3, 9 Factor -5/4*r**3 - 935/4*r**2 - 43245/4 - 44175/4*r. -5*(r + 1)*(r + 93)**2/4 Let u(l) be the second derivative of -l**7/945 + l**6/36 - 7*l**5/135 - 73*l**2/2 - 39*l. Let h(f) be the first derivative of u(f). Let h(b) = 0. What is b? 0, 1, 14 Let o(h) be the second derivative of 2*h**7/63 + 8*h**6/45 - 2*h**5/5 - 4*h**4 - 6*h**3 - 827*h. Determine z so that o(z) = 0. -3, -1, 0, 3 Let c = -4/6655 - -267/1331. Let j(f) be the third derivative of 0*f - 1/40*f**4 + 0 + c*f**3 - 1/100*f**5 + 13*f**2. Solve j(s) = 0 for s. -2, 1 Let a(m) be the third derivative of 20/3*m**3 - 95/6*m**4 + 33/2*m**5 + 55*m**2 + 0*m - 27/8*m**6 + 0. Solve a(o) = 0 for o. 2/9, 2 Suppose -5*k + 4 = -x - 13, x + 1 = k. Find v such that 4*v**4 + 3*v**5 + 75*v - 2*v**3 + 24*v**3 + 120*v**2 - 28*v**4 - k*v**3 = 0. -1, 0, 5 Let s(y) be the first derivative of -y**6/6 + 8*y**5/15 + 7*y**4/3 + 2*y**3/3 - 25*y**2/6 - 14*y/3 + 4957. Solve s(h) = 0 for h. -1, 1, 14/3 Let d be (25956/(-135))/14 + 14. Let v(j) be the third derivative of 0*j + 0 + 1/150*j**5 - 2*j**2 + 1/20*j**4 - d*j**3. Solve v(q) = 0. -4, 1 Factor -22*q**3 + 11*q**3 + 34*q**2 - 209*q + 10*q**3 + 58*q + 174. -(q - 29)*(q - 3)*(q - 2) Let p be ((-16)/(-52))/(10/65). Let j be (5/(-10))/(6/(-8)). Factor -j*s**p + 32/3*s - 128/3. -2*(s - 8)**2/3 Find c such that 237/2*c**5 + 94/3*c + 417/2*c**2 + 2665/6*c**3 + 2/3 + 2309/6*c**4 = 0. -1, -2/9, -2/79 Let n(w) = 14*w + 6. Let j be n(11). Suppose 5*v - j = -4*o, -100 = -4*v + 2*o + 28. Factor 14*k**2 + k**5 + 28 - 7*k**2 - v - 3*k**4 - k**3. (k - 2)**2*(k - 1)*(k + 1)**2 Let s be 16*494/832 + 210/(-28). Find r, given that 250/9*r - 4 - 8/9*r**5 - 526/9*r**s - 118/9*r**4 + 146/3*r**3 = 0. -18, 1/4, 1 Let f be ((-75)/(-42))/((-72)/(-126)) - (-23)/(-184)
{ "pile_set_name": "DM Mathematics" }
/7*a**4 + 0*a + 2/7*a**5 + 0 + k*a**3. 2*a**2*(a + 1)**3/7 Let y = 103222/3 + -34406. Solve y - 1/3*j**2 - j = 0. -4, 1 Factor 2/13*d**2 - 222/13*d - 2420/13. 2*(d - 121)*(d + 10)/13 Let d(t) = 610*t + 7320. Let m be d(-12). Factor 3/5*c**4 + 48/5*c**2 - 24/5*c**3 + m*c + 0. 3*c**2*(c - 4)**2/5 Let g(v) be the second derivative of 13 + 3*v**2 - 3/2*v**3 + 1/4*v**4 - 2*v. What is f in g(f) = 0? 1, 2 Let g(r) be the first derivative of -25*r**4/22 - 16*r**3/11 + r**2/11 - 4. Solve g(b) = 0 for b. -1, 0, 1/25 Suppose 139 - 119 = 5*g. Factor 196*i**5 + 26*i**3 + i**4 + 18*i**2 - 27*i - 195*i**5 - 27 + 8*i**g. (i - 1)*(i + 1)*(i + 3)**3 Suppose -5*t = 75*s - 71*s - 74, -4*s + 64 = 0. Factor 2/5*v**t + 18/5 - 4*v. 2*(v - 9)*(v - 1)/5 Let o(v) be the third derivative of -v**6/540 - 46*v**5/135 + 31*v**4/36 + 123*v**2 + 3*v. Find g, given that o(g) = 0. -93, 0, 1 Let j = 5875538/5 - 1175090. Factor -j*a + 64/5 + 4/5*a**3 + 4*a**2. 4*(a - 2)*(a - 1)*(a + 8)/5 Let s(b) = -b**2 - 7*b + 4. Suppose -90 = 11*q - 13. Let m be s(q). Factor 11*t - 13*t**3 - 3*t - m + 11*t**3 - 2*t. -2*(t - 1)**2*(t + 2) Let m(k) = -4*k**4 + 8*k**3 + 24*k**2 - 6*k - 12. Let x(s) = -17*s**4 + 32*s**3 + 102*s**2 - 23*s - 49. Let u(l) = 9*m(l) - 2*x(l). What is n in u(n) = 0? -1, 1, 5 Let i = 1273/140240 + 6/1753. Let t(z) be the second derivative of -3/80*z**5 + 0*z**3 + i*z**6 + 0 - 3/32*z**4 + 3*z + 0*z**2. Factor t(x). 3*x**2*(x - 3)*(x + 1)/8 Let j(a) be the second derivative of -a**6/15 - 81*a**5/10 - 184*a**4 - 1024*a**3/3 + 7199*a. Factor j(o). -2*o*(o + 1)*(o + 16)*(o + 64) Let d(r) = -2*r**4 - r**3 + r**2 + r + 1. Let m(l) = -39*l**4 - 96*l**3 - 414*l**2 - 624*l - 267. Let q(u) = 18*d(u) - m(u). Factor q(b). 3*(b + 1)**2*(b + 5)*(b + 19) Let x(p) = -p**4 - 247*p**3 + 6*p + 2. Let m(h) = 9*h**4 + 1977*h**3 - 51*h - 17. Let k(g) = -6*m(g) - 51*x(g). Solve k(i) = 0. 0, 245 Factor -6*h**2 + 10515/2*h - 1314. -3*(h - 876)*(4*h - 1)/2 Let s be (62 - 40500/525) + (-1 - -18). Let j = 6798/7 - 969. Factor -p + 4/7*p**4 - s*p**3 + j*p**2 + 1/7. (p - 1)**3*(4*p - 1)/7 Let p(v) be the second derivative of v**4/78 + 94*v**3/39 + 1941*v. Factor p(x). 2*x*(x + 94)/13 Let n = -3649 + 3652. Let j(t) be the first derivative of 0*t - 6*t**2 - 21 - t**3 + 3/5*t**5 + n*t**4. Let j(s) = 0. What is s? -4, -1, 0, 1 Let o be ((-242)/220*-22*1)/(6 - 5). Let k(j) be the first derivative of 34 + 1/15*j**3 - 11/5*j**2 + o*j. Factor k(d). (d - 11)**2/5 Let t be (-178)/1513 - (-29)/102. Let h(n) be the second derivative of 0 - t*n**4 + 0*n**2 + 11*n - n**3. Factor h(y). -2*y*(y + 3) Suppose 2*x - 13 - 35 = 4*u, -5*x + 105 = -5*u. Let g be 8/6*(-5)/((-20)/x). Factor 7*m + g*m - 18*m + 2*m**3 + 3*m. 2*m*(m - 1)*(m + 1) Determine j so that -634 - 607 - 3*j**2 + 282*j + 1241 = 0. 0, 94 Let u be 2*(13 - 12) - (3 + (-51)/6). Let -u*b - 25*b**2 - 35/2*b**3 + 0 = 0. Calculate b. -1, -3/7, 0 Let x(i) = 5*i**2 - 460*i - 1554. Let a(g) = -4*g**2 + 449*g + 1555. Let d(u) = -6*a(u) - 5*x(u). Let d(r) = 0. Calculate r. -390, -4 Let o be (-6)/2 + 102/(-1). Let b be (1 + 6/(-9))*o/(-10). Factor -b*r + r**2 + 1/2*r**3 + 2. (r - 1)**2*(r + 4)/2 Let v(b) = b**2 + 15*b - 98. Let x be v(-20). Factor -7*a**3 - 1 + 25 - 92*a + 2*a**4 + 94*a**x - 30*a**3 + 3*a**4. (a - 3)*(a - 2)**2*(5*a - 2) Let m(i) be the third derivative of 0*i - 1/525*i**7 + 0*i**3 - 116*i**2 - 1/100*i**6 + 0 + 2/75*i**5 + 0*i**4. Factor m(p). -2*p**2*(p - 1)*(p + 4)/5 Let w(c) = c + 1. Let f(j) = -j**3 - 2*j**2 - 4*j - 3. Let b = 216 - 219. Let d(y) = b*w(y) - f(y). Factor d(l). l*(l + 1)**2 Factor -36 - 16*a**3 - 13*a**3 + 12*a + 20*a**2 + 29*a**3 + 4*a**3. 4*(a - 1)*(a + 3)**2 Determine l so that -39967500/7*l**2 - 14600/7*l**3 - 48627125000/7*l - 22186125781250/7 - 2/7*l**4 = 0. -1825 Factor 5476038/11*f**3 - 169362/11*f**2 + 1746/11*f - 6/11. 6*(97*f - 1)**3/11 Let c = 23755/2 + -11876. Find w, given that c*w + 1/2*w**3 - 3/2*w**2 - 1/2 = 0. 1 Let g = 18887 - 18884. Factor 3/5*y**g - 12/5*y**2 - 42/5 - 57/5*y. 3*(y - 7)*(y + 1)*(y + 2)/5 Factor -9*b**3 - 6*b**4 - 9*b**4 + 6*b**2 - 7*b**4 + 25*b**4. 3*b**2*(b - 2)*(b - 1) Let j(u) = -8*u**2 - 120*u + 1723. Let f(h) = 12*h**2 + 180*h - 2585. Let y(p) = 5*f(p) + 7*j(p). Factor y(i). 4*(i - 9)*(i + 24) Let w = 39 + -28. Let u be 1/(-3)*(8 - w). Solve 26*m**3 - 3*m + u - 25*m**3 - 2*m**2 - 1 = 0. -1, 0, 3 Let v be 44/(-14) + 6/42 - 756/(-196). Determine k, given that 9/7*k + 3/7*k**5 + 0 + v*k**4 - 12/7*k**3 - 6/7*k**2 = 0. -3, -1, 0, 1 Let d(o) be the second derivative of -o**4/9 + 44*o**3/3 + 5*o - 143. Factor d(r). -4*r*(r - 66)/3 Let g(x) = -x**2 + 3*x + 4. Let a be g(4). Let r = -6837 - -6840. Solve -2/15*v**2 + a - 2/15*v**r + 2/15*v**4 + 2/15*v = 0. -1, 0, 1 Let u(l) be the first derivative of -109*l**4/9 - 428*l**3/27 + 1312*l**2/9 - 16*l/3 - 742. Find d, given that u(d) = 0. -3, 2/109, 2 Let a(g) = g + 63. Let w be a(8). Factor 187*o**2 - 40*o - 8*o**3 + 23*o**3 - w*o**2 - 66*o**2 - 60*o**2. 5*o*(o - 2)*(3*o + 4) Let n(y) be the first derivative of 0*y - 64 - 4/5*y**5 - 4/3*y**3 + 0*y**2 + 2*y**4. Solve n(l) = 0 for l. 0, 1 Let z = 346 - 344. Factor 4*v**3 - 3*v**z - 4*v**3 - 13*v**2 + 4*v**4. 4*v**2*(v - 2)*(v + 2) Suppose 10*c - 35 + 5 = 0. Factor 33*i - 5813*i**3 - 18 + 3*i**5 + 10*i**4 + 5777*i**c + 2*i**4 + 6*i**2. 3*(i - 1)**3*(i + 1)*(i + 6) Suppose -4*d + 5*y = 25, -3*d + 20 = -0*d + 4*y. Let h(o) = -o**3 + 48*o**2 + 31*o + 885. Let f be h(49). Factor 4*u**2 + 0 + d*u + 1/2*u**f. u**2*(u + 8)/2 Let q(t) be the second derivative of -2 + 0*t**2 + t**3 - 82*t - 1/18*t**4. Find y such that q(y) = 0. 0, 9 Let o be (0 - 1)/(-9)*0/2*5477/43816. Factor -3/4*u**2 + o + 63/4*u. -3*u*(u - 21)/4 Let z(x) be the third derivative of -x**5/150 + 1951*x**4/60 - 130*x**3 + 7*x**2 + 466*x. Solve z(c) = 0. 1, 1950 Determine c, given that 0*c**3 - 54/7*c - 33/7*c**2 + 3/7*c**4 - 24/7 = 0. -2, -1, 4 Find o, given that 0 + 46*o + 1/2*o**3 - 24*o**2 = 0. 0, 2, 46 Suppose 4*p - 85*l + 12 = -87*l, p - 13*l - 132 = 0. Solve 4/7*u**p - 16/7 - 12/7*u = 0. -1, 4 Let f(a) be the second derivative of a**4/78 + 16*a**3/13 + 92*a**2/13 - 5551*a. Factor f(w). 2*(w + 2)*(w + 46)/13 Let a(d) = d**3 + 9*d**2 - 99*d - 222. Let v be a(-2). Let -4/3*f**5 + 35/3*f**3 + 50/3 + 8/3*f**2 - 85/3*f - 4/3*f**v = 0. What is f? -5/2, 1, 2 Let s = 647 + -452. Let l = 1381/7 - s. Factor -2/7*j**2 - 32/7 - l*j. -2*(j + 4)**2/7 Factor -772/7*g + 16/7 - 194/7*g**2. -2*(g + 4)*(97*g - 2)/7 Let 25/4*h**3 + 13/2*h**2 - 1/4*h**4 + 0 + 0*h = 0. What is h? -1, 0, 26 Suppose 28 = -6*i + 208. Let p be (-8)/2*(-3 - (-86)/i). Find x such that p*x**2 - 2/5*x - 2/15*x**3 + 0 = 0. 0, 1, 3 Let l = 56343/43 + -507001/387. Determine v, given that -l*v**2 - 2/9 + 4/9*v = 0. 1 Find j, given that 1/2*j**2 + 89401/2 - 299*j = 0. 299 Let l(d) be the first derivative of 32*d + 4/5*d**5 + 7*d**4 + 24*d**3 + 40*d**2 + 131. Find u such that l(u) = 0. -2, -1 Let j(d) be the third derivative of 5*d**8/336 - 11*d**7/42 - 15*d**6/8 + 35*d**5/12 + 65*d**4/3 - 70*d**3 + 236*d**2 + 1. What is g in j(g) = 0? -3, -2, 1, 14 Suppose 0 = b - 202 + 197. Let j be ((-8)/(-32))/(b/80). Suppose 9/7*q**2 + 3/7*q**3 - 3/7*q**j - 3/7*q - 6/7 = 0. Calculate q. -1, 1, 2 Let y be (-2 + (-176)/(-33))*57/2. Find w, given that 11 + 6*w - 31 + y - 15 + w**2 + 26*w = 0. -30, -2 Let k = -160333 + 801853/5. Factor -196/5 - 4/5*g**3 + 388/5*g - k*g**2. -4*(g - 1)**2*(g + 49)/5 Suppose 0 = -35*d + 42*d - 28. Suppose 15*m**2 - 19*m**2 - 96*m**d + 100*m**4 = 0. What is m? -1, 0, 1 Let i(v) be the third derivative of -v**6/30 + 73*v**5/5 - 145*v**4/2 + 434*v**3/3 - 1028*v**2. Find q, given that i(q) = 0. 1, 217 Let s(o) be the third derivative of o**5/60 - 23*o**4/12 + 15*o**3/2 + 11*o**2 - 62*o. Factor s(y). (y - 45)*(y - 1) Let h(z) be the first derivative of -86 + 2/27*z**3 + 8/9*z + 5/9*z**2. Factor h(x). 2*(x + 1)*(x + 4)/9 Let o be 0 - 11/(11/(-2)). Suppose 16 = 5*z - 2*k, 3*z - 5*k - o = -0. Suppose -15*u**3 + u**5 + 7*u**3 + 4*u**4 + 5*u**3 - 2*u**z = 0. What is u? -3, 0, 1 Let a(q) = -3*q + 249. Let u be a(12). Let b = u - 423/2. Determine p, given that b*p - 3/4*p**2 - 3/4 = 0. 1 Let r = -95349 - -381671/4. Let -5 - 25*g + r*g**4 - 75/4*g**2 + 175/4*g**3 + 105/4*g**5 = 0. Calculate g
{ "pile_set_name": "DM Mathematics" }
2 + v**2 - 2) + 1 - 1 + v**2)*(-9 - 27 - 7) as f + i*v + a*v**2 and give a. -172 Rearrange 9*o - 4*o + 11*o to r*o + x and give r. 16 Express g**4 - g**4 + 4*g**4 + (3 - g**2 - 3)*(0*g - g**2 + 0*g) + (-2 + 4 - 3)*(-2*g**4 + 2*g**4 - 2*g**4) as w*g + d + b*g**4 + h*g**2 + a*g**3 and give b. 7 Rearrange 8*r**3 + 8*r**3 - 21*r**3 + 10*r**3 + 4*r - 2 to v + p*r**3 + z*r**2 + i*r and give p. 5 Express -10*i**2 + 9 - 9 as k*i**2 + z + n*i and give k. -10 Express 20 - 51 + 27 - u + (2*u - 6*u + 2*u)*(5 - 4 - 2) as q*u + t and give t. -4 Rearrange (0*t**2 + 0*t**2 + 2*t**2)*(2 - 1 + 1) + (-28*t + 117 - 117)*(-3*t - 3*t + 3*t) to p + s*t**2 + u*t and give u. 0 Rearrange (-2 - 7 + 75)*(b + 2*b - 6*b) to d + j*b and give j. -198 Rearrange -6*j**2 - 7*j**3 + 1 + j**3 + 4*j**2 + 5*j**3 to the form d + f*j + k*j**3 + b*j**2 and give b. -2 Rearrange 10*q + 8*q - 6*q + 0*q**2 + 2*q**2 to x*q + c + y*q**2 and give y. 2 Express 2 + 18*x - 18*x - 5 - 5*x**2 as t*x + i + m*x**2 and give m. -5 Express 4*a**2 + 15*a**2 + 4 - 21*a**2 as g + n*a + u*a**2 and give g. 4 Express 2*z**2 + 796 - z**4 + 5*z**3 + 3*z**4 - 795 + z in the form l*z**3 + c*z**2 + r + p*z**4 + v*z and give c. 2 Express (0*x - 2*x - 4*x)*(-x**2 - 2*x**2 - 3*x**2) - 2*x**3 + x**3 + 3*x**3 as s*x + w*x**3 + q*x**2 + r and give w. 38 Rearrange 12*f**4 + 0*f - 14*f**4 - 4*f**2 - 2*f to the form z + c*f**4 + s*f**3 + r*f**2 + k*f and give c. -2 Express (8*l**2 - 4*l**3 - 4*l**2 - 5*l**2)*(1 - 1 + 2*l) as h*l + c + g*l**2 + u*l**3 + q*l**4 and give u. -2 Express (110*b + 7 + 19 - 26)*(12 - 2*b**2 - 12) as x*b**3 + t*b + z + l*b**2 and give x. -220 Express 7*d**3 - d**2 + 27 - 27 as w + z*d**2 + a*d**3 + l*d and give a. 7 Rearrange -4*a + 3*a - a to the form f + h*a and give h. -2 Rearrange -16*i + 16*i + 3*i**2 - 19*i to the form u*i + y*i**2 + g and give y. 3 Express -8*m**2 + 13*m**2 - 3*m**2 + m - m + m**2 + (0*m + 0*m - m)*(5*m - 4*m - 2*m) + 2*m**2 - m**2 - 2*m**2 in the form c*m + l*m**2 + y and give l. 3 Express -g**2 - g**2 + 3*g**2 + (4*g - 8*g - 4*g)*(4 - 2 - 1)*(0*g - g + 2*g) as l*g + x + w*g**2 and give w. -7 Rearrange (-3*p**2 + 2*p**2 + 2*p**2)*(-6*p - 9 + 9) + 4*p**3 - p**3 + 2*p - 3*p to the form x + i*p**2 + w*p**3 + a*p and give x. 0 Rearrange -6 - 4*w**2 + 6 - 6 to the form v*w**2 + s*w + b and give v. -4 Express 9*b + 4*b + 15*b + 5*b in the form i*b + k and give i. 33 Express 0*q - 22 + 0*q - q + 7*q**2 + 20 as d*q + u + h*q**2 and give u. -2 Express -25*c - c**2 + 7*c + 0*c**2 in the form g*c + v + h*c**2 and give v. 0 Rearrange -191*i - 14*i**3 + 0*i**2 + 193*i - 4*i**2 to a + p*i + h*i**3 + t*i**2 and give h. -14 Express (2 - 2 + t**2)*(-5*t + 3*t + 6*t**2 - 5*t**2) as m + c*t + i*t**2 + r*t**3 + h*t**4 and give c. 0 Express 0 + 1 + 8*n - 3 + 18*n**4 - 15*n**4 as w*n**3 + p + c*n**4 + d*n + m*n**2 and give p. -2 Rearrange -259*n + 1 + 259*n + 15*n**3 to b*n**2 + x*n + m + q*n**3 and give q. 15 Rearrange 2 - 135*b**4 - 136*b**4 + b**2 + 272*b**4 + 7*b to x*b**2 + g + m*b + r*b**4 + p*b**3 and give m. 7 Rearrange -4*t - t + 2*t to the form p + q*t and give q. -3 Express (o - o + o)*(14 + 8 + 3) in the form i*o + g and give i. 25 Rearrange 0 + 8 - 2 - 7 - 49*t**3 to the form v + p*t + n*t**2 + h*t**3 and give v. -1 Rearrange 2*u**3 + 106 - 106 - 26*u + 2*u**2 to c*u**2 + k*u + p + i*u**3 and give i. 2 Rearrange (2*y + y - y)*(-32 - 29 + 64 + y**2) to f*y + k*y**3 + d + n*y**2 and give f. 6 Express -10*k + 6*k + 28*k as c*k + v and give c. 24 Rearrange 7 + 2*f**2 - 10 - 8*f**2 to the form p + a*f**2 + t*f and give p. -3 Rearrange i**4 - 2*i**3 - 177*i + 177*i + 1 - i**2 to o*i + m + u*i**4 + p*i**2 + y*i**3 and give y. -2 Express 3*h + 0*h + 4*h - 4*h in the form q + w*h and give w. 3 Rearrange (-6*f**2 - 2*f**3 + 6*f**2)*(5*f + 4*f + 5*f) - 3*f**3 + 2*f**4 + 3*f**3 to k*f**4 + u*f**2 + p + g*f**3 + r*f and give k. -26 Express 278 - 141 - 139 + 10*b**3 as p*b**3 + u*b + n + v*b**2 and give n. -2 Express ((-4*c + 2*c + c)*(3 + 3 - 5) + 1 - 2*c - 1)*(1 + 2 - 4 + (3 - 3 + 1)*(-1 - 1 + 4) + 2 - 5 + 5 + 1 - 1 - 2) as d + l*c and give l. -3 Rearrange 2*y**2 + 2 - 95*y + 80*y - 2 - y**3 to o*y**2 + q + h*y + b*y**3 and give o. 2 Express (-3 + 2 + 0 - 2*d + 8*d**2)*(0*d + 4*d - 3*d)*(7*d - 2*d - d) as l*d + c + x*d**3 + j*d**4 + i*d**2 and give i. -4 Express (0 - 1 + 3)*(0*h - 1 + 2*h - 1) + (h - h - h)*(-2 + 6 - 1) in the form b + f*h and give b. -4 Express (8*n**2 - 2 - n**2 - n**2)*(2 + 2 + 1) in the form z + h*n + o*n**2 and give o. 30 Express (-3*f**2 - 15*f**4 + 3*f**2)*(-4 - 1 + 4) in the form d*f**2 + l*f**4 + u*f + o*f**3 + p and give p. 0 Rearrange 13*b**2 - 2*b**3 + 3*b - 15*b**2 + b + 2*b**4 - 1 + 4*b**3 to u*b**3 + x*b + m + s*b**4 + h*b**2 and give u. 2 Express -g**2 - 9*g - 25 + 16 + 9 in the form u*g + n + l*g**2 and give u. -9 Express 7 - 2 - 5 - 41*o in the form k*o + j and give k. -41 Rearrange -2*s + 261*s**2 - 4*s**3 + 1 - 523*s**2 + 264*s**2 + 2*s**4 to the form t*s**4 + n*s**2 + q + b*s + i*s**3 and give t. 2 Express 1 + 24*q**2 + 21*q**2 - 18*q**2 as z*q + d*q**2 + t and give d. 27 Rearrange (4 - 1 - 1)*(x - x - 2*x) + 4*x + 0*x + 4*x + 3*x - 3*x - 2*x + 0*x + x + 0*x to the form b*x + d and give b. 3 Express 264*h**3 + 0*h**2 + 13*h**2 + 3*h**2 - 262*h**3 in the form n*h**2 + f*h + r + w*h**3 and give n. 16 Rearrange 1309 - 1309 - 43*k to the form a + f*k and give f. -43 Rearrange -29*q**2 + 3*q**3 + 62*q**2 - 33*q**2 - 9 to the form x*q**3 + j*q + r*q**2 + u and give u. -9 Express 10 - 4*h**2 + h**3 + 6*h + 3*h**2 - 3*h - 8 in the form z*h + s*h**3 + i*h**2 + n and give i. -1 Rearrange (15 - 6*c + 2*c + 2*c)*(3*c**3 - 2*c**3 - 2*c**3) - c**4 + c**4 + c**4 to the form s*c + m*c**3 + h + w*c**4 + g*c**2 and give w. 3 Express (b + 3*b - 6*b)*(-5 + 5 - 2)*(b - 2*b + 3*b) in the form o + v*b + h*b**2 and give h. 8 Rearrange (0 - 3*c + 0)*(0 + 0 + 2*c**2)*(6*c - 110 + 110) to the form f + d*c**2 + k*c**3 + s*c**4 + p*c and give s. -36 Rearrange (-2 - 8*k + 2)*(-2 + 9 + 2) to the form v*k + w and give v. -72 Rearrange 2*s**4 + 4*s + 0*s**4 + s**3 - 3*s + s**3 - s**2 to n*s**2 + d*s**3 + i*s**4 + v + x*s and give n. -1 Rearrange -2*y**4 - y**3 + 6*y + 6*y**4 + 3*y - 6*y + 1 to l*y + w*y**3 + r + u*y**2 + a*y**4 and give l. 3 Rearrange (0 + 622*d - 642*d - 2)*(-d**2 - 2*d**2 + 5*d**2) to l*d**2 + s*d**3 + h*d + x and give s. -40 Rearrange 24*q - 90*q - 30*q + (-3*q + 2*q - q)*(4 - 4 + 1) + 0*q - 2*q + 0*q to the form b*q + z and give b. -100 Express -15 - 60*d + 37*d + 22*d as x*d + i and give i. -15 Express l**2 - 38*l**2 + 6*l**2 as d + c*l**2 + b*l and give c. -31 Rearrange -1 - 2*y**4 - 3*y**4 + 4*y**4 - 5*y to d*y**3 + s*y**4 + t*y**2 + z + q*y and give q. -5 Express 41*f**2 + 46*f**2 - 59*f**2 as m*f**2 + g*f + p and give m. 28 Rearrange -2*v**3 - 6*v**3 + 4*v**3 - 3*v**2 + (-1 + 2*v + 1)*(0*v**2 + 2*v**2 - v**2) to q*v + h*v**2 + j*v**3 + c and give j. -2 Express (2*v - 2 + 2)*(3 + 2 - 4)*(-5*v + v + v + v - 2*v - v + v - 4 + 4 + (-3*v + 2*v + 3*v)*(4 + 0 - 3)) in the form g + y*v**2 + l*v and give y. -4 Express 4*x - 3*x + 6*x + (-2*x + 3*x - 2*x)*(0 + 5 + 0) as k + h*x and give k. 0 Rearrange -18 + 72 - 28 + 0*h - h to the form n + u*h and give u. -1 Express 0*r**3 + 5*r**3 + 3*r**3 + (0*r**2 - 5*r**2 + r**2)*(2*r - 3*r + 0*r) in the form j*r + k*r**2 + h + s*r**3 and give s. 12 Rearrange -5*m - 4*m**3 + 4*m + 5*m**3 to the form x*m + y + i*m**3 + u*m**2 and give x. -1 Express (-3*j + 7*j - 3*j)*(1 - 1 - j) - j**2 - j**2 - j**2 + 2*j**2 - 3*j + j - j**2 as x + s*j**2 + a*j and give s. -3 Express -2*l**2 - 6 - 1229*l + 1229*l as v*l + w + u*l**2 and give w. -6 Rearrange 17 + 102*g**2 + 13 - 30 to the form d + a*g**2 + u*g and give a. 102 Express (0*n**2 + 2*n**2 - n**2)*(-3*n + 1 - 10*n + 5*n) in the form k*n + a*n**2 + p*n**3 + c and give p. -8 Express y**2 - 2*y + 3*y**2 - 3*y + y in the form l + x*y**2 + r*y and give r. -4 Express (4 - 4 - x**2)*(2 - 1 - 4)*(-4*x**2 - 12*x + 12*x) in the form a*x + d*x**4 + v + y*x**2 + g*x**3 and give g. 0 Rearrange (26*n - 265 + 265)*(0*n**3 + 3*n**3 - 4*n**3) + (2*n**3 + n**3 - n**3)*(-n - n + n) to the form y*n**3 + i*n**2 + u*n + f*n**4 + q and give f. -28 Rearrange -113*n + 113*n + 1 - 11*n**2 to c + x*n**2 + d*n and
{ "pile_set_name": "DM Mathematics" }