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is the nearest to i in -0.3, -25, -0.4? -0.4 Let f = 18.96 - -0.04. Let c be 18/(-16) - ((-31)/(-8) + 14 + -18). What is the closest to f in -2, c, 0? 0 Let j = -266 + 262. Let u = -2.994 - 0.006. What is the nearest to 2/13 in 11, u, 0.4, j? 0.4 Let u = 115 + -110.21. Let w = u - 4.39. Which is the closest to -1? (a) 2 (b) w (c) -5/6 c Let o = -50335/28 + 12582/7. Let l = 0 + 0.02. Let u = l + 0.18. What is the closest to o in 5, 2/19, u? 2/19 Let w be 385/15*1 + 2/6. Let k(l) = 2*l**2 - 52*l - 4. Let x be k(w). Let u be -1*(3/(-2) - -2). Which is the nearest to u? (a) -1 (b) x (c) 2/3 a Let u = 3900 + -3941. Which is the closest to 1? (a) u (b) -5 (c) 2/27 (d) 3 c Let v = -91609 - -91605. Suppose 5*f - 4 = 2*g, -2*f = -4*g + g - 6. Let y = -0.2 + 0.4. Which is the nearest to v? (a) y (b) g (c) 2 b Let w be (-5 - 3) + 420/50. Let r be (2*-1 - -1) + 1. Let y be (-48)/(-28) + -2 - (-64)/(-168). What is the closest to -0.1 in w, y, r? r Let x = -2224 + 2224. Let q = -98 - -97.53. Let k = q + 0.07. What is the nearest to 2/15 in k, x, 2? x Let g be ((-16)/2)/2*(-2 + 3). Let q = -35 + 35.025. Let m = 0.075 + q. Which is the closest to m? (a) g (b) 0.2 (c) -1/4 b Let y = -4.654 + 22.654. Which is the nearest to -0.1? (a) 3 (b) 1/7 (c) 22 (d) y b Let w(i) = -i**3 + 9*i**2 - i - 57. Let v be w(8). What is the closest to -2/7 in v, 0, -0.1, 5? -0.1 Let g = 0.0437 + -0.2537. Which is the nearest to 1/5? (a) -3 (b) 0.4 (c) -2/7 (d) g b Let m = 2.2 - 0.4. Let n = -1393.8 - -1397. Let j = m + n. What is the closest to 1 in 2, j, -1/8? 2 Let o = -3014 - -3018. What is the nearest to 2/3 in -2.5, -4, o? -2.5 Let q be 946/158 + (217/(-7) - -25). What is the closest to q in 3, -3, -1/8? -1/8 Let p be (10/9)/((-92295)/(-23733)). Let m = 4 - 9. What is the nearest to p in 20, 5/2, -4, m? 5/2 Let j = -34467 - -34750. Which is the nearest to 0? (a) -3 (b) j (c) 0.5 (d) 2/3 c Let i = -8112 + 8111.7. Which is the closest to -1/5? (a) 5 (b) i (c) -0.52 (d) 3 b Let t = 159/10 - 1809/110. Let w = 342 + -345. What is the nearest to w in t, 1/2, -5/6? -5/6 Let w = 19565 - 19564. Which is the nearest to -0.066? (a) -0.1 (b) w (c) 2 a Let m = -2.84 - 5.36. Let b = 8.3 + m. What is the closest to b in -6/11, 3, 0? 0 Let g = -2855.8 - -2856. What is the closest to -3.1 in g, -6, -4? -4 Let o = -4 - -1. Let m = 0.45 - 0.25. Let c(z) = 1466*z + 23458. Let p be c(-16). What is the closest to 11 in p, m, o? p Let r = -1368/5 - -274. Let v(q) = -10*q + 233. Let f be v(24). Which is the closest to 0? (a) -2/13 (b) -3/4 (c) f (d) r a Let p = -18/7 + 65/28. Which is the closest to -1? (a) 24 (b) 2 (c) -0.4 (d) p c Let o(m) = -m**3 - 3*m**2 + 5*m + 3. Let r be o(-4). Let q = 72/677 - 2175/1354. Which is the closest to r? (a) 4 (b) q (c) 5 b Let a = -98.4 + 94.4. What is the nearest to -4 in a, -2, -12? a Let f = -297 + 300. Let t be ((-40)/(-72))/(2/6). Which is the closest to -1? (a) f (b) -0.13 (c) t b Let t = 0.05 + 0. Let y = 0.03394 + 0.46606. Which is the nearest to y? (a) -0.5 (b) 0.2 (c) t b Let m = -870/53 - -2716/159. Let w = -39 + 38.8. Which is the closest to m? (a) -1 (b) -0.3 (c) w (d) 0.4 d Let u = 589.8 - 590. What is the closest to -2/5 in 0, -184, u? u Let k = 0.64 - -0.38. Let i = -4.02 + k. What is the closest to 2 in 12, 0.2, i? 0.2 Let h = 87 + 1. Suppose p - 16 = -2*r + 12, 4*p + 2*r = h. Let j be (-15)/(-22) + (-10)/p. What is the nearest to -1/2 in 4, 3, j? j Let y be 2 + -3 - 27/(-36). Let v = -4654 - -18615/4. Which is the closest to v? (a) -2/5 (b) y (c) -3 b Let j = 3 - -13. Suppose -4 = 4*y - j. Suppose 2*l + y*c + 2*c + 18 = 0, 5*l + 2*c + 3 = 0. What is the nearest to l in -5, 2, -0.2? 2 Suppose 8*s + 22 + 34 = 0. Let g be 1/7 + (-125)/s. Which is the nearest to 0? (a) g (b) 0.4 (c) 0.01 c Let h be (-3)/(-15) + 63/(-165). Suppose -6*s + 2*s + 0*s = 0. Let n be s/(-12) - (-1)/(-2). Which is the nearest to n? (a) 3/5 (b) 0.3 (c) h c Let b = -5704 - -5706. What is the nearest to -0.1 in 0.6, -5.7, b? 0.6 Let m = -12.2 - -20.3. Let p = -8.1 + m. Which is the closest to -15? (a) p (b) 2 (c) -0.5 c Let u = 0.15 + -18.15. What is the nearest to u in -1, -4, 0.6, 3? -4 Let n = -65557 - -457929/7. Let v = n + 19463/140. Let x = 1/5 - v. Which is the nearest to 1/2? (a) 1/3 (b) 0.4 (c) x b Let j = -189 + 188. Let f be 90/200 + (-1)/4. What is the closest to -2/3 in f, 2, j? j Let f = -1081.1 + 1081. Let m be -2*(-1 - (-4)/3). What is the closest to m in -4, f, -2? f Let l be (-11)/(-7) - (1 - -8 - 7). Which is the nearest to -1? (a) 0 (b) l (c) 278 b Let v be 3 + (-15)/(3150/20) + 82/(-21). Which is the closest to 1/6? (a) v (b) 0.07 (c) 1 b Let y be (-2)/(-16) - 3822/31472. Let m = -847/1124 + y. What is the closest to -3 in m, -5, -2/5? -5 Let o be ((-2360)/944)/(-1 - (-2)/(-4))*-1. What is the nearest to o in -8/7, -0.09, 0? -8/7 Let z be (-2737)/476 - -6*1. Let b = -4 - -1. What is the closest to b in 1/2, z, 8? z Let z = -41 + 42. Let q = -10315/4 - -2579. What is the closest to z in 3, q, 0.5, 2/7? 0.5 Let m = 301.7 - 301.73. Let o = -237/2068 - -579569/1664740. Let d = o - -6/115. What is the closest to d in -0.3, -3, m? m Let j = -16 - -16. Let n be j - 7/((-252)/(-8)). Let l = -2.357 - -0.357. Which is the nearest to 1/2? (a) n (b) l (c) -4 a Let g = 27802 - 27896. What is the nearest to -2 in g, -2, -11? -2 Let x = -216 - -195.8. Let y = x + 19.8. Let o = 2.5 - -0.5. Which is the nearest to 0? (a) 4 (b) y (c) o b Let g = 1203 + -1116.9. Let l = -355 - -269. Let b = g + l. What is the nearest to -4 in b, 3, -2/9? -2/9 Let k = -2 - -6. Let w = k + -1. Let t be 0*(-6)/4*(920/(-60))/(-46). Which is the nearest to t? (a) 4 (b) -2 (c) w b Suppose -42 = -2*g - 4*n, -4*n + 108 = 4*g - 2*n. Suppose s + s + 3*b = 18, 0 = 3*s + 5*b - g. What is the closest to 1/4 in 0.2, -4, s? 0.2 Let w = -2.89822 - 0.10178. Which is the nearest to -0.2? (a) -16 (b) -0.5 (c) w (d) 0.049 d Let m = 8/231 - 15100/231. Let u = m - -584/9. Suppose 4*z - k + 7 = 28, -2*z = -4*k - 28. Which is the closest to -22/7? (a) 1 (b) u (c) z b Let q = -4.51 + 94.51. Let w = q + -90.1. Which is the nearest to 0.1? (a) w (b) -23 (c) 1 (d) 2 a Let g = -1 + -181. Let x = -190 - g. What is the nearest to 1 in x, 1, -0.1? 1 Let h(w) = w**3 - 2*w**2 - 14*w + 1. Let g be h(5). Which is the closest to 1/2? (a) 0.3 (b) g (c) 2/19 (d) 19 a Let h = 17740.6 - 17741. Suppose -4*t = -2*t. Let m = -3 - -7. What is the nearest to t in h, m, -6? h Let i = -682.5 - -677. Let u = -5.5 - i. Let m = -3 - -6. Which is the closest to 1/11? (a) m (b) 2/9 (c) u c Let m = 1/150 + 59/150. Let k = -475 - -235. Let g = -241 - k. Which is the closest to g? (a) -4/5 (b) m (c) -0.03 a Let w(x) = -x - 1. Let o be w(4). Let u = -0.815 - -2.815. Let b(i) = -i**3 - 27*i**2 - 25*i + 37. Let n be b(-26). What is the nearest to u in n, 2/5, o? 2/5 Suppose 8*u + 14 = -3*n + 9*u, -n - 6 = u. Let s = 1/9 + -4/9. Which is the nearest to s? (a) -2 (b) 16 (c) n a Let v = 3621 - 18107/5. What is the nearest to v in 2/7, -2/5, 5, -1/4? -2/5 Suppose -245*y + 148*y = -2037. Let v = 0.8 - -4.2. What is the closest to -4 in -3/7, v, y? -3/7 Let x = -248 - -244. Let v be 32/(-18) - -3*8/12. Which is the nearest to 0? (a) x (b) 2/3 (c) v c Let s = 15.144 + -19.144. What is the nearest to -121 in 0.3, s, -3/14? s Let b = 1836 + -994. Let g = 839 - b. What is the nearest to 0 in 2/11, g, -27? 2/11 Let l = -443/8 - -1345/24. Which is the closest to -2/5? (a) -2/3 (b) l (c) 2/1729 a Suppose -14 = 3*s - 5*h, 0 = 6*s - 7*s - 2*h + 10. Let f = -27.7 + 30.7. What is the closest to s in 0.5, -5, f, -3? f Let r be 66096/(-15912) - 4/(-26). Suppose v = -0*v. What is the nearest to v in 2, -1/4, r, 5? -1/4 Let o = -3.95 - -4. Let n = -1.95 - o. Suppose 2*w + 522 = -3*i + 502, -5*w = -i + 16. What is the nearest to n in 0.1, -0.2, i? -0.2 Let z = 15.8 - 318.8. Let w = z - -301.3. Which is the closest to w? (a) 2 (b) -3 (c) -0.1 b Let m(j) be the first derivative of j**4/4 - 13*j**3/3 + 17*j**2 + 9*j - 145. Let h be m(4). What is the nearest to 0.1 in -0.2, h, 18? -0.2 Let u = 370 + -372. Which is the closest to -134? (a) u (b) 0 (c) 5
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to 0.1? (a) l (b) -0.4 (c) -0.2 c Suppose 2 = -5*w - 3. Let f be (-4)/10 + 6/40. Suppose 2*t + 35 = 41. What is the closest to w in f, 4, t? f Let l = 0.11 - 0.21. What is the nearest to -0.1 in 0.1, l, 0? l Let o be (6/28)/(4/14). Let u = 0.02 + 0.38. Let r = u + -0.8. Which is the nearest to -1/2? (a) r (b) o (c) -0.5 c Let w = -1 + 2. Suppose 1 + 19 = -f. Let g = f + 61/3. Which is the nearest to 0? (a) g (b) 0.3 (c) w b Suppose 3 = 3*p - 3. Let j be 2*(2 - 7/p). Which is the nearest to 1/3? (a) -0.1 (b) j (c) 3 a Let m = -86 - -84.6. What is the nearest to 0.1 in -1, m, 3? -1 Let f = 3 + -3. Which is the nearest to f? (a) 2/17 (b) 0.3 (c) -3 a Let g = -0.06 - -0.46. Suppose -3*d - 96 = -0*d. Let o be d/(-14) - 1*2. What is the closest to -1/2 in 0.5, o, g? o Let l = -0.15 + -5.85. Let t = l - -6.5. Which is the nearest to 1? (a) t (b) -0.3 (c) -2 a Let o = -1.3 + -2.7. Let r = 0.96 + 0.04. Which is the nearest to -1/2? (a) o (b) 0.1 (c) r b Let i = 0.04 - 0.04. Let c = 5.9 + -6. Let x = i - c. What is the closest to -2/5 in 3, 5, x? x Let s = 42.1 - 42. Let q = -0.3 + 0.3. Let x = -9 - -14. Which is the closest to q? (a) s (b) x (c) -2 a Let o = -9 - -8. Let z be -2 + (12/3 - 1). Let n = z + -3. Which is the nearest to 1? (a) 5 (b) n (c) o c Let h = 2 + -2.2. Let r = -5 - -2. What is the closest to h in -0.4, r, -0.1? -0.1 Let y = 1/107 - -314/749. Let h = -1.1 + -6.8. Let g = 8 + h. Which is the closest to g? (a) -0.3 (b) -2 (c) y c Let v = 15 + -15. Suppose 0*r = -3*r. What is the nearest to v in r, -5, 1? r Let h = 2.6 - 2.1. What is the closest to 2 in h, 2, -0.3? 2 Suppose 0*x = -x + 2. Which is the nearest to x? (a) -4 (b) 2/15 (c) -3 b Let m = -1 + 2. Let u be 0 - 2 - (m - 2). Let t = 4 + -3.5. Which is the nearest to u? (a) t (b) -1 (c) -0.3 b Let r = 0.3 + -0.8. Which is the nearest to -3? (a) r (b) 0.1 (c) -7 a Let m be 2 + 166/10 - -2. Let y = -21 + m. What is the closest to 0 in y, 5, 0? 0 Let k be 0/(-2) - 28/42. Which is the nearest to -0.3? (a) -3 (b) k (c) 0.5 b Suppose 4*u = w + 12, 0 - 12 = -2*w - 4*u. Suppose 9*i = -5*r + 4*i - 5, r = 5*i + 23. Let b = 0.022 + -0.322. What is the closest to w in 0.5, b, r? b Let f = 1 + 1. Suppose 0 = -3*j - j + 2*s + 8, f*s + 11 = 5*j. Let t be (-2)/(-14) - ((-17)/(-42))/(-17). Which is the closest to -2/7? (a) -4 (b) j (c) t c Let j be 26/(-20) + (-15)/(-10). Which is the nearest to -1/2? (a) j (b) -5 (c) -0.3 c Suppose -10*t + 22 = t. Let m be 6/(-8) + 2 + -1. Let g = -2 - -1.8. Which is the closest to g? (a) 0.4 (b) t (c) m c Let m be (102/(-5))/6 - -3. What is the nearest to -2 in m, 1/6, 0? m Let a = 16.9 - 17. Let q be (6/4)/(3 - 0). What is the closest to -0.1 in q, a, -3? a Let m = 201632/35 + -5757. Let g = m - 21/5. Let o = 5/28 - -1/14. Which is the nearest to -0.1? (a) o (b) 2/5 (c) g c Let m = -0.3 + -0.2. Let n = -40 + 39.8. Let o = -0.1 + -1.9. Which is the closest to n? (a) m (b) -1 (c) o a Let m be 16/(-24)*18/(-32). Which is the nearest to 1? (a) 2 (b) -5/2 (c) m c Let x = -158 + 157. Suppose -p = -5*p + 8. Let n = -77/65 + 18/13. Which is the nearest to x? (a) 1/4 (b) p (c) n c Let q = -11.5 - -9. Let g = q + 2. Let r be 2/30 + 10/(-25). Which is the nearest to r? (a) -0.1 (b) g (c) 0.3 b Let t = 233.92 - 238. Let j = t + 4. Let k = j + -0.02. What is the nearest to k in 1/5, -3/4, -1? 1/5 Suppose 0 = 5*w + 4*l - 3*l + 25, -5*w - 2*l = 25. Suppose -t + 0*t = 1. Let h = 2 - 6. What is the closest to t in 5, w, h? h Let a = -0.6 - -0.8. What is the nearest to -1/4 in a, 1/2, 1/7? 1/7 Let j = 3.5 - 4. Let d = j - -0.6. Let x = 0.2 - d. What is the nearest to x in 5, 3, -4? 3 Let p = 25 - 24. What is the closest to -2/3 in -1, 5/4, p? -1 Let u = -2.17 + 0.17. Let p = 2.1 + u. Which is the nearest to p? (a) -0.4 (b) -4 (c) 1/7 c Let x = -9.08 - -9. Let f = 0.48 + x. What is the nearest to 0.1 in f, 0.2, -1? 0.2 Let p = -8 + 6. Let d = -0.5 + 2.5. Which is the closest to -1? (a) -1 (b) p (c) d a Let x = -16 + 14. Let z be x*3/12*0. What is the closest to 0 in 2, -0.3, z? z Let p = 10 + -5. Let v = 2 - p. Which is the closest to 1/3? (a) -3/5 (b) -5 (c) v a Let o = 0.6 - 0.5. Let z = -0.27 - 0.03. Which is the closest to -0.2? (a) z (b) 2/5 (c) o a Let w = -2.95 - 0.05. Let v = 2.46 + 0.04. Let f = v + -3. Which is the nearest to -1? (a) w (b) -0.3 (c) f c Let w = -2 + 1. Let j be 199/(-378) + (-10)/(-35). Let v = j - -2/27. What is the nearest to w in 3, -0.4, v? -0.4 Let c = -0.33 - 3.67. What is the closest to -0.2 in -2/21, c, 4? -2/21 Let x = -0.15 + -13.85. Let d = x - -11. Which is the nearest to 1? (a) -1 (b) d (c) -0.3 c Let j be (-4)/(-30)*(3 - -9) + -1. Let d = 34/189 - 1/27. Which is the nearest to 0.1? (a) j (b) 3 (c) d c Let t be 11139458/(-10) + (-2)/10. Let q = 1249847587/1122 + t. Let r = -2/187 - q. Which is the closest to -1? (a) r (b) 5 (c) -3 a Let o = 1.9 - 12.9. Let a = o + 9. What is the nearest to a in 2, 1/8, -4? -4 Let y = -24 - -23. What is the closest to y in -5, -2, -4/7? -4/7 Let h = 1 - 5. Let v = 0.3 + 0.7. Let r = -0.11 - -0.51. Which is the closest to v? (a) r (b) 2 (c) h a Let k = -0.417 + 0.017. Let v = 9 + -11.7. Let i = -3 - v. Which is the closest to 0.1? (a) i (b) 0.3 (c) k b Let s be (-22)/(-10) - 2/10. Let f be (8/(-20))/(s/(-20)). Which is the nearest to -1/3? (a) 1/6 (b) f (c) 0.2 a Let v = 7 + -7.5. What is the nearest to 3 in 1, v, -2? 1 Suppose i = -1 - 1. What is the closest to 0 in -1/3, 3, i? -1/3 Let f = 126 + -124. Which is the closest to 0.6? (a) f (b) 0.1 (c) -0.06 b Suppose 2*m + 12 = -0. Let g be 2/15*10/m. Suppose -3*w - 6*f = -f, -3*w = -3*f + 24. Which is the nearest to -0.2? (a) 1/12 (b) g (c) w b Suppose 3*a - 2 = 2*q + 5, a = 2*q - 3. What is the closest to 2/5 in q, 0.2, -5? 0.2 Suppose 4 = -5*g + 3*g - 3*l, -3*g + 4*l - 6 = 0. Let o be 4/6*3/4. Let i be 2/(-4)*4/15. What is the nearest to o in g, 2, i? i Let z = -4.03 + 1.03. Let t = -176 - -2642/15. Which is the closest to 0.1? (a) z (b) t (c) -2 b Suppose 14*p - 10 = 9*p. Let r = 3 + 1. Let k = -1.9 - -2. Which is the nearest to k? (a) 5 (b) p (c) r b Suppose -i - 1 = 2*o - 2, 0 = -5*i - 4*o + 23. Let k be (20/6)/(1/(-2)). Let l = i + k. Which is the nearest to l? (a) -3 (b) 5 (c) -2 c Let v = -0.6 - -1. Let n be (((-56)/(-30))/7)/((-18)/(-15)). What is the closest to 0.1 in v, n, -2/13? n Let h be -1 + 47/15 - 2. What is the nearest to -1 in h, -5, 1? h Let s = -29/12 - -5/3. Let i be (3/(-2) + 1)*0. What is the closest to -0.1 in s, i, -3? i Let g be ((-6)/9)/((-40)/15). Which is the nearest to g? (a) 4 (b) -0.2 (c) -1 b Let n = 0.1 - -0.9. Let d = 1 - 1.04. Let h = -1.04 - d. What is the nearest to n in 1/4, h, -4? 1/4 Let z = -180/19 + 4898/513. Let h = z - -23/54. What is the closest to h in 0.3, 4, -0.5? 0.3 Let u = -2 + -2. Let s be (-4)/(-16) + 54/168. Which is the closest to 1? (a) s (b) u (c) -0.1 a Let i = 1/16 - 9/16. Let r = 0.18 - 3.18. What is the closest to i in -7, -0.5, r? -0.5 Let m = 2683/7112 - 2/889. Let x = 0 + 0. Let u = 3 - 4. Which is the nearest to u? (a) 2 (b) m (c) x c Suppose 0 = -4*y + 4. Let v be (4/(-10))/(4/(-15)). Which is the nearest to 1/2? (a) -0.3 (b) y (c) v b Suppose -2*p + 5*p = -36. Let w be (-2 + -1)/((-54)/p). Which is the nearest to 1? (a) 1/11 (b) 2 (c) w a Suppose 0 = 3*k + l, 2*k - l - 8 = -3*k. What is the nearest to k in -1, -3, -5? -1 Let r = -62 - -58. Which is the nearest to -0.1? (a) 1 (b) r (c) 0.3 c Let z = 39 - 38.9. Which is the closest to 0? (a) 0 (b) z (c) -0.2 a Suppose 0 = -5*o + 5, 4*g - 3*o = -5*o + 10. Let u = -0.05 - 4.95. Which is the nearest to 1/5? (a) u (b) 5 (c) g c Suppose 15 = -4*d + 3. Let o be 0 - 2/21*-3. Which is the closest to 0? (a) o (b) d (c) -3/4 a Let s = 16 + -82/5. What is the closest to s in -4, -2, 5? -2 Let m be ((-7854)/(-133))/((-4)/22). Let l = -325 - m. Let d = 18/95 - l. Which is the closest to 0? (a) d (b) 0.1 (c) -4/3 b Let d(n) = -n**2 - 8*n + 8. Let g be (1 - 3)*(-18)/(-4). Let p be d(g). What is the nearest to 2 in -1/2, p, 2/11? 2/11 Let c = -5 - -6. Let y = c - 5. Let w = y + 5. What is the neare
{ "pile_set_name": "DM Mathematics" }
**2 - 20*j + 2 Let q(n) = -6*n**2 - 14*n - 14. Suppose -a - 2*t = -16, -5*a = -2*t - 5 - 27. Let z(j) = -16 - 9*j + 15 - 4*j**2 - 8. Give a*z(i) - 5*q(i). -2*i**2 - 2*i - 2 Let u(m) be the second derivative of m**3/6 + m**2/2 - 521*m. Let l(f) = 6*f**2 - 15*f - 15. Determine 2*l(v) + 30*u(v). 12*v**2 Let o(g) = 507*g - 130. Let n(l) = 46*l - 12. What is -65*n(w) + 6*o(w)? 52*w Let l(r) = -4*r**2 - 163*r. Let s(o) = 15*o**2 + 650*o. Determine 22*l(h) + 6*s(h). 2*h**2 + 314*h Let t(j) = 7*j + 14. Let l(x) = -36*x - 74. Determine 2*l(y) + 11*t(y). 5*y + 6 Let c(j) be the second derivative of 0 + 3*j - 1/2*j**4 + 1/2*j**3 - 3/2*j**2. Let t(x) = -7*x**2 + 4*x - 4. Suppose 2 - 14 = -4*b. Calculate b*t(w) - 4*c(w). 3*w**2 Let q(n) = 60*n**3 + 3*n**2 - 4*n - 7. Let z(m) = 30*m**3 + m**2 - 2*m - 4. What is -4*q(j) + 7*z(j)? -30*j**3 - 5*j**2 + 2*j Suppose -2*h + 0*h + 24 = -3*a, 2*h = -3*a - 24. Let x(b) = 2*b + 4. Let t(v) = -v - 3. Give a*t(y) - 5*x(y). -2*y + 4 Let b(l) = -l + 1. Let m be b(3). Let j be m/4 - (-27)/18. Let a(y) = 3 - 17*y**2 - 5 + 6 + 18*y**2. Let o(c) = c**2 + 1. Give j*a(v) - 4*o(v). -3*v**2 Let k(w) = -3*w**2 + 3*w + 1. Let t(r) = 9*r**2 - 11*r - 4. Determine 18*k(d) + 4*t(d). -18*d**2 + 10*d + 2 Let f(a) = -12*a**2 + 2*a + 3. Let w(x) = 29*x**2 - 4*x - 4. Let d(c) = 14*c**2 - 2*c - 2. Let g(h) = -7*d(h) + 3*w(h). Determine 2*f(p) - 3*g(p). 9*p**2 - 2*p Let t(c) = c**2 - 2*c + 1. Let w(n) = 5*n**2 + 64*n + 4. Determine -6*t(l) + w(l). -l**2 + 76*l - 2 Suppose -2*w - 21 = -5*b - 0*b, 3*w = -4*b + 26. Let o(n) = w + 0 - 3 - 2*n. Let s(r) = -r - 1. Let u = -8081 - -8079. Calculate u*o(i) + 2*s(i). 2*i Let g(z) = 9*z**2. Let s(c) = -14*c**2. Suppose 29*x + 60 = 17*x. Determine x*s(f) - 8*g(f). -2*f**2 Let c(o) = 6*o**2 + 35*o - 4. Let l(q) = 13*q**2 + 72*q - 9. Calculate 7*c(f) - 3*l(f). 3*f**2 + 29*f - 1 Let x(v) = v - 4. Suppose -12 = -o - o + 5*l, -5*o = -5*l - 30. Let q(a) = 2*a - 9. Let j(h) = -2*h**2 - 6*h + 6. Let u be j(-5). What is o*q(t) + u*x(t)? -2*t + 2 Suppose 3*c - 6 = -0*c. Let v(m) = -5*m**2 + 5*m + 1. Let s(l) = 46*l**2 - 45*l - 19. Let w(p) = -2*s(p) - 18*v(p). Let d(q) = 2. Give c*w(j) - 20*d(j). -4*j**2 Let x(z) = 2*z + 1282*z**2 + 13 - 7*z - 5*z**3 - 1273*z**2. Let p(h) = h**3 - 2*h**2 + h - 3. Determine -9*p(t) - 2*x(t). t**3 + t + 1 Suppose -2*y + 8 = 3*n - 10, 3*n = -3*y + 21. Let u be (5 - 6)/(3/y). Let h(g) = -3*g + 3. Let t(s) = -s + 1. Give u*h(r) + 4*t(r). -r + 1 Let w(j) = 5*j**2 - 12*j - 9. Let i(z) = 32*z - 866. Let a be i(27). Let t(c) = -c**2 + 3*c + 2. What is a*w(l) - 9*t(l)? -l**2 - 3*l Let c(k) = k**3 + 1. Let y = -224 - -221. Let h(u) = 4*u**3 + 3. Determine y*c(x) + h(x). x**3 Let l(w) = -23*w + 1019 - 2001 + 999. Let b(t) = 0*t**3 + t - 2*t**3 + 3 - 4*t + t**3 + 3*t**2. Let s be b(3). Let z(x) = 4*x - 3. Calculate s*l(d) - 34*z(d). 2*d Let d = 7 - 5. Let y(p) = -p**2 + 5*p - 3. Let o be y(4). Let j(i) = -2 - o + i + d. Let f(w) = 2. Calculate -f(l) - 2*j(l). -2*l Let j = 42 - 2. Suppose 5*a + j = -3*s, -2*a - 2*a = 3*s + 35. Let h(n) = 3*n - 4. Let q(l) = -3*l + 2*l + 3*l + 2*l - 5. What is s*q(b) + 6*h(b)? -2*b + 1 Let h(x) = -3*x**2 + 17*x - 5. Let b(v) = -v**2 - 1. Determine 4*b(q) - h(q). -q**2 - 17*q + 1 Let q(f) = 5*f - 1. Let z(n) = n. Let w(d) be the first derivative of -3*d**2/2 + 16*d - 15. Let j be w(5). Calculate j*q(r) - 3*z(r). 2*r - 1 Let m(u) = -5*u**2 - u + 3. Let d(b) = -6*b**2 - b + 4. Let r = -249 + 254. Calculate r*m(g) - 4*d(g). -g**2 - g - 1 Let p(a) = 3 - 3*a - a + 1 - a. Let x(c) = c - 1. Let d(w) = 2*w**3 - w**2 + w - 1. Let y be d(1). Let z = 5 - y. Give z*x(m) + p(m). -m Let r(l) = l. Let s(w) = -3*w - 7. Give 6*r(t) + s(t). 3*t - 7 Let c(l) = -819*l + 6. Let a(s) = -183458*s + 1345. Calculate 6*a(h) - 1345*c(h). 807*h Suppose -4*n - 3 = 5. Let q(c) be the first derivative of -1/2*c**2 - 3 + 10/3*c**3 + 10*c. Let r(h) = h**2 + 1. Give n*q(f) + 22*r(f). 2*f**2 + 2*f + 2 Let b(v) = 4*v. Suppose 0 = -18*i + 67 + 23. Let l(c) = -7*c. Calculate i*b(q) + 2*l(q). 6*q Let d = 460 + -456. Let z(w) = -2*w**2 + 2*w - 1. Let k(t) be the third derivative of t**5/60 + t**2. Determine d*k(b) + z(b). 2*b**2 + 2*b - 1 Let p(r) = 3*r + 2. Let a(o) = -16*o - 11. Suppose -7*v = -24*v - 561. What is v*p(i) - 6*a(i)? -3*i Let g(l) = -l - 1. Let n(v) be the second derivative of 20*v**3/3 + 10*v**2 + 9*v - 19. Determine -20*g(z) - n(z). -20*z Let w(b) = 15*b + 81. Let k(t) = 3*t + 16. What is -11*k(o) + 2*w(o)? -3*o - 14 Let a(i) = 5 - 47*i**2 + 15*i + 53*i**2 - 30*i + 16*i. Suppose 2*x + 5 = -5. Let t(j) = -j**2 - 1. Determine x*t(l) - a(l). -l**2 - l Let q(k) = 12*k**2 + 3*k - 13 + 3*k + 2 + 5*k. Let a(g) = -g**2 - g + 1. Let s(r) = -22*a(r) - 2*q(r). Let j(o) = 3*o**2. Give -3*j(c) - 4*s(c). -c**2 Let c be -7 + 3/(9/6). Let f(n) = -52*n**2 - 32*n. Let w(b) be the first derivative of -8*b**3/3 - 5*b**2/2 + 9. Calculate c*f(d) + 32*w(d). 4*d**2 Let f(r) = 8*r**2 + 9*r - 6. Let t(d) = 7*d**2 + 7*d - 6. Determine -3*f(h) + 4*t(h). 4*h**2 + h - 6 Let f(w) = 6*w**2 + 13*w + 6. Let n(u) = -31*u**2 - 66*u - 32. Determine -11*f(c) - 2*n(c). -4*c**2 - 11*c - 2 Let v = -852 + 836. Let k(z) = 6*z - 40. Let o(m) = -m + 8. Determine v*o(n) - 3*k(n). -2*n - 8 Let u(v) be the third derivative of -v**6/15 - v**5/10 - v**4/3 - v**3/2 - 27*v**2 - 4*v. Let n(j) = -9*j**3 - 7*j**2 - 9*j - 2. Determine 6*n(z) - 7*u(z). 2*z**3 + 2*z + 9 Let k = -3 - -4. Suppose 45*w - 37*w - 32 = 0. Let q(s) = -s - 1. Let t(x) = x**3 + 4*x + 4. Calculate k*t(g) + w*q(g). g**3 Let f = 15 + -4. Let t(g) = 10 + 4*g - f - 3*g. Let d(y) = -3. Let b(w) = -15. Let z(i) = -4*b(i) + 21*d(i). What is 2*t(c) - z(c)? 2*c + 1 Let f(k) = -k**2 + k - 1. Let c(i) = 3*i**2 - 3*i + 34. Calculate c(b) + 4*f(b). -b**2 + b + 30 Let q(o) = 304*o**2 + 95. Suppose 2*c + 2*c = -4*f - 40, 5*c = -2*f - 32. Let t(m) = 19*m**2 + 6. Give f*q(x) + 95*t(x). -19*x**2 Let l(g) = -23*g - 66. Let m(v) = -4*v - 1. What is l(c) - 6*m(c)? c - 60 Let q(w) = -68*w + 8. Let g(a) = -69*a + 9. Determine 4*g(o) - 5*q(o). 64*o - 4 Let t(d) = -d**3 - 73*d**2 + 2*d + 2. Let c(x) = -2*x**3 - 144*x**2 + 5*x + 5. Calculate 2*c(u) - 5*t(u). u**3 + 77*u**2 Let m(i) = i**3 + i**2 + i. Let a(c) = 3*c**3 - 218*c**2 + 4*c. What is a(w) - 4*m(w)? -w**3 - 222*w**2 Let n(q) be the third derivative of -q**5/30 + q**4/12 + 30*q**2. Let m(o) be the first derivative of 4*o**3/3 - 5*o**2/2 + o - 2. Calculate -2*m(l) - 5*n(l). 2*l**2 - 2 Let j(a) = -182124*a - 8 + 182129*a + 3. Suppose -5*q - 23 = 2. Let g(l) = -9*l + 9. Calculate q*j(h) - 3*g(h). 2*h - 2 Let l(a) = -13*a**3 + 11*a**2 - 11*a - 29. Let m(j) = -6*j**3 + 6*j**2 - 6*j - 15. Let u(i) = 6*l(i) - 11*m(i). Let c(s) = 3*s**3 + 2. Give -18*c(v) - 4*u(v). -6*v**3 Let t(q) = -11*q**2 - 7*q - 1. Let a(z) = 8*z**2 + 8*z. What is 4*a(l) + 3*t(l)? -l**2 + 11*l - 3 Let g(w) = -w + 5. Let s(h) = 2*h. Let t be s(-2). Let f be (-2)/((7/(-2))/7). Let a(c) = 3 - 3 + f + c - 2*c. Determine t*g(n) + 5*a(n). -n Let k(u) = -u**2 - 9*u - 9. Let v be k(-7). Let r = 1 + -5. Let g(p) = -7*p - 6. Let i(w) = 2*w - 8 + 3 - 36*w + 28*w. Determine r*g(a) + v*i(a). -2*a - 1 Let d(n) = 8*n - 3738*n**3 - 2 - 3*n**2 - 10*n + 3737*n**3. Let h(a) = -2*a**3 - 7*a**2 - 5*a - 4. What is 5*d(j) - 2*h(j)? -j**3 - j**2 - 2 Let g(l) = l**2 - 2*l + 3. Let q(b) = 2*b**2 - 5*b + 7. Let y(m) = -5*m**2 - 3*m + 2. Let p be y(1). Determine p*q(v) + 14*g(v). 2*v**2 + 2*v Let b(c) = 26*c - 6. Let f(l) = 5*l - 1. Let y(i) = -i**2 - 10*i + 19. Let h be y(-13). Let n = 22 + h. Give n*b(z) - 11*f(z). -3*z - 1 Let t(r) = 3*r**3 - 7*r + 9. Let g(b) = -2*b**3 + 4*b - 5. Let w = 19 - 16. Give w*t(y) + 5*g(y). -y**3 - y + 2 Suppose 0 = -11*d + 4*d + 105. Let k be 0/2 + 0 + d/(-5). Let o(t) = 2*t - 1. Let r(y) = -y. What is k*o(l) - 5*r(l)? -l + 3 Suppose 0 = v + 10 - 14. Let m = -7 + v. Let d(q) = -3*q + 3. Let j(n) be the third derivative of n**4/6 - 2*n**3/3 + n**2. Calculate m*d(t) - 2*j(t). t - 1 Let m(q) = 2*q**3 - 3*q**2 + 30*q + 3. Let t(j) = 3*j**3 - 5*j**2 + 60*j + 5. What is -5*m(h) + 3*t(h)? -h**3 + 30*h Let j(f) = -f**2 - 11*f + 24. Let w be j(-12). Let z(r) = -9*r**2 - 9*r + 1. Let v(o) = 22*o**2 + 22*o - 2. Calculate w*z(h) + 5*v(h). 2*h**2 + 2*h + 2 Let p(h) = 5*h**3
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from {x: 2, c: 1, j: 7, n: 2, s: 4}. Give prob of sequence jxc. 1/240 Four letters picked without replacement from juuxeueexuyyuuxuyx. What is prob of sequence xjuu? 7/3060 What is prob of sequence ys when two letters picked without replacement from {s: 3, p: 6, b: 3, y: 5}? 15/272 What is prob of sequence sss when three letters picked without replacement from jnjcssscnlllssc? 2/91 Three letters picked without replacement from rfrrfrf. Give prob of sequence rfr. 6/35 Two letters picked without replacement from mvmvvvvuuummvum. Give prob of sequence mu. 2/21 Two letters picked without replacement from xxgxlgghhhg. What is prob of sequence hg? 6/55 Four letters picked without replacement from pgilpccclpccm. What is prob of sequence picg? 1/1144 Calculate prob of sequence itc when three letters picked without replacement from ctctticci. 1/21 What is prob of sequence bqmq when four letters picked without replacement from fbqfqfbqtffmqqfqf? 1/952 Four letters picked without replacement from {b: 8, d: 3, v: 1, n: 6}. Give prob of sequence bbbb. 7/306 Three letters picked without replacement from {q: 3, t: 2, y: 4, z: 1}. Give prob of sequence ztq. 1/120 What is prob of sequence vb when two letters picked without replacement from lvlbl? 1/20 Four letters picked without replacement from ccccllllclcl. What is prob of sequence llcc? 5/66 Two letters picked without replacement from zvvpvvvvvvvvpva. What is prob of sequence va? 11/210 Two letters picked without replacement from {q: 1, i: 1, y: 4, s: 4, r: 5}. What is prob of sequence yr? 2/21 What is prob of sequence mwj when three letters picked without replacement from jjowijmoojo? 2/495 Two letters picked without replacement from umrrrrmue. What is prob of sequence rm? 1/9 Four letters picked without replacement from ptvbtpvblppbpbbbpf. What is prob of sequence lptf? 1/6120 Four letters picked without replacement from emmmrrermmvm. What is prob of sequence erer? 1/990 What is prob of sequence clcc when four letters picked without replacement from cclllcccclllc? 21/286 What is prob of sequence zuzz when four letters picked without replacement from uzuuzzu? 1/35 Two letters picked without replacement from {f: 11, p: 2}. What is prob of sequence pf? 11/78 Calculate prob of sequence ffff when four letters picked without replacement from xfffxxf. 1/35 Three letters picked without replacement from ukoerem. Give prob of sequence eru. 1/105 Four letters picked without replacement from {e: 1, k: 3, j: 2, n: 1, z: 1, h: 3}. Give prob of sequence ejnh. 1/1320 Two letters picked without replacement from {b: 1, f: 14}. What is prob of sequence ff? 13/15 Calculate prob of sequence og when two letters picked without replacement from oggogooggeg. 12/55 Two letters picked without replacement from znqow. Give prob of sequence zo. 1/20 Four letters picked without replacement from {o: 8, b: 2}. What is prob of sequence boob? 1/45 Three letters picked without replacement from uxxuxuu. Give prob of sequence uuu. 4/35 Two letters picked without replacement from iiiii. Give prob of sequence ii. 1 Four letters picked without replacement from akkaakaaaaaaaaaa. Give prob of sequence aaaa. 11/28 Calculate prob of sequence gi when two letters picked without replacement from ffocfoigocoiofof. 1/120 What is prob of sequence nk when two letters picked without replacement from {k: 7, n: 7}? 7/26 Calculate prob of sequence iii when three letters picked without replacement from {i: 5}. 1 Two letters picked without replacement from {b: 7, x: 9}. What is prob of sequence bb? 7/40 What is prob of sequence jz when two letters picked without replacement from kzklj? 1/20 Four letters picked without replacement from jpppjpjp. What is prob of sequence jpjj? 1/56 Two letters picked without replacement from {s: 2, x: 10, i: 3, y: 1}. Give prob of sequence iy. 1/80 Two letters picked without replacement from gatgtagga. Give prob of sequence ga. 1/6 Two letters picked without replacement from {c: 6, e: 4}. What is prob of sequence ce? 4/15 Calculate prob of sequence bbx when three letters picked without replacement from {r: 2, x: 2, s: 3, v: 3, b: 4, y: 2}. 1/140 Calculate prob of sequence tkt when three letters picked without replacement from tgtggtttk. 5/126 What is prob of sequence yr when two letters picked without replacement from myrmq? 1/20 Calculate prob of sequence fh when two letters picked without replacement from {b: 1, f: 2, a: 2, l: 2, m: 1, h: 10}. 10/153 Calculate prob of sequence ub when two letters picked without replacement from {u: 2, o: 5, b: 2}. 1/18 What is prob of sequence ttjj when four letters picked without replacement from jjtjthtjttttttjthttt? 26/969 Three letters picked without replacement from {k: 5, g: 7}. What is prob of sequence kgg? 7/44 What is prob of sequence iii when three letters picked without replacement from {i: 3}? 1 Two letters picked without replacement from nnnhphnnpzutz. What is prob of sequence hp? 1/39 What is prob of sequence pwwp when four letters picked without replacement from pppwpw? 1/15 Calculate prob of sequence sq when two letters picked without replacement from nvrvssnvsvvqvyss. 1/48 Two letters picked without replacement from leeele. What is prob of sequence ee? 2/5 What is prob of sequence ezez when four letters picked without replacement from {e: 3, k: 1, z: 4}? 3/70 Three letters picked without replacement from gddoigdoggrgttiigggi. Give prob of sequence oro. 1/3420 Three letters picked without replacement from {e: 3, f: 1, h: 1, q: 2}. What is prob of sequence qeq? 1/35 Three letters picked without replacement from {f: 1, u: 5, g: 5}. Give prob of sequence fgg. 2/99 Two letters picked without replacement from hxxxdddvxjx. Give prob of sequence hd. 3/110 Calculate prob of sequence eset when four letters picked without replacement from {y: 1, s: 1, a: 1, e: 2, t: 1, m: 1}. 1/420 What is prob of sequence cyc when three letters picked without replacement from {c: 4, d: 1, t: 3, y: 6}? 3/91 Two letters picked without replacement from {u: 5, r: 2, j: 2, z: 2, w: 7}. What is prob of sequence uu? 10/153 Calculate prob of sequence vv when two letters picked without replacement from {p: 13, v: 6}. 5/57 Calculate prob of sequence ggvg when four letters picked without replacement from ojvojgjfovgoxgxogo. 1/1530 Three letters picked without replacement from {a: 5, j: 6, g: 2}. What is prob of sequence jja? 25/286 Calculate prob of sequence oac when three letters picked without replacement from {c: 1, a: 1, o: 7, s: 7}. 1/480 Three letters picked without replacement from {x: 2, o: 1, g: 2, h: 1, b: 2, i: 1}. Give prob of sequence gxo. 1/126 Three letters picked without replacement from esexeeszsxx. Give prob of sequence xzs. 1/110 What is prob of sequence ccn when three letters picked without replacement from {c: 5, n: 2}? 4/21 Calculate prob of sequence jf when two letters picked without replacement from {f: 2, c: 3, j: 7, b: 7}. 7/171 What is prob of sequence ffw when three letters picked without replacement from cmcmmcfcwwxwmwfw? 1/336 Calculate prob of sequence crq when three letters picked without replacement from {p: 4, q: 2, r: 1, c: 2}. 1/126 Two letters picked without replacement from bebwdeesesgbe. What is prob of sequence se? 5/78 Calculate prob of sequence acd when three letters picked without replacement from {j: 1, b: 2, d: 2, c: 5, a: 6}. 1/56 What is prob of sequence pips when four letters picked without replacement from spsspppiszzsppz? 5/1092 Two letters picked without replacement from zxszwxdf. Give prob of sequence fd. 1/56 Calculate prob of sequence wf when two letters picked without replacement from wwfcu. 1/10 What is prob of sequence nb when two letters picked without replacement from bnn? 1/3 What is prob of sequence osn when three letters picked without replacement from saoazrzonnonaz? 3/728 What is prob of sequence oc when two letters picked without replacement from {c: 5, o: 3, a: 4}? 5/44 Four letters picked without replacement from gygrzrzcs. Give prob of sequence zgyc. 1/756 What is prob of sequence lr when two letters picked without replacement from dsdnrnl? 1/42 Three letters picked without replacement from {f: 10, x: 2}. What
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = 3*g + 14 - 5. Let d be (-1)/g + (-3)/63. What is the closest to d in p, -2, -3/4? p Let r be (-3)/4 - 22/(-8). Let s be (-9)/12*-4 - -2. Which is the closest to r? (a) 1 (b) s (c) 1/4 a Let g = 0 + 1. Let i = -8.78 - -9.08. What is the nearest to g in i, 0.5, -3? 0.5 Let m = -21 - -19. Let k = m + 1.8. Which is the closest to 4/5? (a) -3/7 (b) k (c) 1/5 c Let a = -0.44 + -0.067. Let r = a - -0.007. Let t(u) = -u**2 + 5. Let d be t(0). What is the nearest to 2/5 in 4, d, r? r Let s = 9 - 11.9. Let b = -1.9 - s. Let o = -0.01 - -0.31. What is the nearest to 1 in b, 2/9, o? b Let z = -245 - -244.5. Which is the closest to -1? (a) -4 (b) z (c) 1 b Let g = 90.4 + -82.4. What is the closest to -1 in g, -0.2, 4? -0.2 Let t be ((-3)/(-4))/(15/(-12)). Suppose 0 = -3*m + 1132 - 1138. What is the closest to t in m, 0, 0.1? 0 Let m = -0.14 + 5.14. Let u = 5 - 3. Let q = u - 2.4. Which is the closest to 0? (a) m (b) q (c) -0.07 c Let j = -71 - -73. Suppose k + 9 = -2*b - j, 2*k = -5*b - 27. What is the closest to 0.1 in 0.5, k, 2? 0.5 Let z = -89 + 84. Suppose 2*k + 3 + 51 = 0. What is the nearest to 0 in z, k, 1? 1 Let t = 0.138 + 70.862. Let j = 70 - t. Which is the closest to j? (a) 0.3 (b) 2/5 (c) -1/3 c Let q = -6.329 + 1.229. What is the closest to 2/5 in 2, 3, q? 2 Let y = -157 - -157.2. What is the nearest to 0.2 in y, 1/2, 19? y Suppose 0 = 78*k - 68*k - 50. Let i = -8 - -8.3. Let v = -3 + 2.9. What is the nearest to v in i, -3, k? i Let u = 431/3 - 142. Let n = -9.7 - -9. Which is the nearest to 0? (a) 0.2 (b) u (c) n a Suppose -21*l = -12*l - 9. Which is the nearest to -5? (a) l (b) -0.3 (c) 0.3 (d) 5 b Let o = 1.545 - 1.845. Which is the nearest to -2? (a) -3 (b) o (c) -0.4 (d) 5 a Let l(h) = -6*h + 11. Let d be l(2). Let f = 31 + -33.4. Let q = f - -0.4. Which is the nearest to d? (a) -0.3 (b) q (c) 8 a Let o = 0.05 - -0.35. Let v = o - -3.6. Which is the nearest to 0? (a) 0 (b) -3 (c) v a Let i = 4.02 - 0.02. Let t be 57/(-76)*32/12. Which is the nearest to 2/3? (a) t (b) 2/7 (c) i b Suppose -3 = 4*v - a, -7*v + 4*a = -6*v + 12. What is the nearest to -0.3 in 0.5, -0.5, v? -0.5 Let p = 1 - 2.3. Let v = p - -0.3. Let w = -2 + 1.9. What is the closest to -1/3 in -0.3, w, v? -0.3 Let s = -1267 + 1213.9. Let o = 53 + s. Which is the nearest to o? (a) 0.01 (b) -2/7 (c) -1 a Let r = 22/25 + -104/175. Which is the nearest to -2/3? (a) -2/23 (b) r (c) 0 a Suppose 0 = b - 55 - 15. Let s be (0 + -2)/(b/10). Suppose 0*w = -w + 2*h, 0 = -3*w - 3*h + 18. What is the closest to 2 in w, s, -1/6? w Let q = -2 - -2.5. Let z = -181 + 169. Let n = z - -11.9. What is the closest to -1/3 in -4/5, n, q? n Let j be (-2)/(-8) + (-38)/(-16). Let k = 173/72 - j. What is the closest to k in 2, -1, -0.1? -0.1 Let z = -1.43 - -2.43. Let j be ((-2)/5)/(1/5). Let k = 2 + j. Which is the closest to k? (a) -1/4 (b) 2/3 (c) z a Let q = 2285.88 + -2286. Which is the closest to 2? (a) q (b) -0.5 (c) 2/17 c Let u = 67 - 206/3. Which is the closest to -6/7? (a) u (b) 2 (c) 5 a Let i(u) = -2*u**3 + 18*u**2 + 21*u - 9. Let l be i(10). Which is the nearest to l? (a) 5 (b) 12/5 (c) -4 b Let o = 20.543 + -0.043. Let k = 21 - o. What is the closest to -1 in 4/7, k, 1? k Let t(o) = o**3 - 22*o**2 - 8*o + 181. Let l be t(22). Which is the nearest to -3? (a) -1/4 (b) -1 (c) l (d) 2/3 b Let s = -56 + 52. Which is the closest to 1? (a) 6/7 (b) 5 (c) s (d) 1/2 a Let p = 84.6 + -60.6. Which is the nearest to 0? (a) p (b) -0.3 (c) 7 b Let n be ((-6)/9)/((-8)/(-12)). Which is the nearest to -1/4? (a) 3/4 (b) n (c) -5 (d) 0.4 d Let x be (49/14)/((-10)/20). What is the closest to 7 in -0.5, x, 0.4? 0.4 Let p = 0.4 + -1.4. Let k = -961 + 963. Let r = 13 - 9. Which is the closest to p? (a) r (b) k (c) 1/10 c Let n = 24 - 6. Let k = -0.26 - 15.74. Let y = n + k. Which is the closest to -1? (a) 0.4 (b) -5 (c) y a Let s = -0.024 - 2.276. Let c = s + 2.7. What is the nearest to -2 in c, 4, -1? -1 Let i be (-2)/(-6) + 2/(-3). Let l = -1/114 + -55/228. Which is the nearest to i? (a) -5 (b) 0.5 (c) l c Let x = -2300 + 2300. What is the nearest to 3 in -0.09, x, 2/9? 2/9 Suppose 4*d + 4*g - 64 = 88, -3*d + 4*g + 114 = 0. Let k be ((-4)/(-6))/(d/(-57)). What is the closest to k in -1, 1/5, 1/13? -1 Let i = 20.8532 + 0.0468. Let d = i + -21. Let g = -0.08 + 0.38. What is the nearest to -0.1 in 6/5, d, g? d Let s = -189.2 + 188.7. What is the closest to 35 in 0.1, 0.5, 1, s? 1 Let v = -344 - -341. Which is the nearest to 2? (a) -2 (b) 5 (c) v (d) 2/13 d Suppose 2*x = -5*i - 9, -5*x - 12 = 3*i - i. Let u = 0.12 + -10.12. Let v = -10 - u. Which is the closest to v? (a) x (b) -0.1 (c) 2/17 b Let i = 0.511 + -0.211. Which is the closest to i? (a) 2/7 (b) 0.4 (c) -1/4 a Let l = 64 - 33. Let d = 32 - l. What is the closest to -1/4 in 4, d, -0.3? -0.3 Suppose -2783*a = -2786*a. What is the closest to a in -0.5, 3/2, 1/3, 4? 1/3 Let q be 4/7 - ((-66)/(-21) - 3). Let h = -2 - -1.6. What is the closest to 0.07 in -0.1, q, h? -0.1 Let d = 8 - 7. Let z be 3 + d/((-2)/6). Let t be (1 + z)/((-25)/(-5)). What is the closest to t in 2, 4/3, 0.5? 0.5 Let h = 3284 + -3280.527. Let o = -0.467 - h. Let f = -4 - o. What is the nearest to -1 in 2/3, f, -3? f Let y be 6/(-5) - 3956/(-1380). Let g = 0.3 - -0.2. What is the closest to -0.9 in g, y, -4? g Let q = -4 - -7. Let k = 4 + -3. Let j = 196 + -196. What is the nearest to k in j, 0.4, q? 0.4 Let f be (60/(-45))/((-4)/9*1). Which is the nearest to -4? (a) -2/9 (b) 0.7 (c) f a Let d(b) = -22*b + 88. Let p be d(4). What is the closest to p in -2/15, 0, 5? 0 Let i(c) = -2*c**2 - 30*c - 74. Let q be i(-12). What is the nearest to -1/4 in 0.06, 0, 1/6, q? 0 Let f be (-1)/7*91/(-52). Which is the closest to f? (a) -1.2 (b) -2 (c) -0.4 c Let u = 6.7 - 1.7. What is the closest to 1/2 in 4, u, -2/5? -2/5 Suppose 3*f = 2*y - 17, 4*f + 38 = -y + 30. What is the closest to 2/19 in 3, f, 4, -1/2? -1/2 Let c = -0.32 - -19.32. Let l = 72.29 - 68.29. What is the closest to 2/7 in l, c, 2? 2 Let x be (44/8 - 5)/((-9)/9). What is the nearest to 0 in x, -4, -5, -0.2? -0.2 Let q = 15.3 + -20.3. Which is the closest to -0.05? (a) -0.01 (b) -3 (c) q a Let z = 0.12 + 0.08. Which is the nearest to -15? (a) z (b) 1/12 (c) 0 c Let x(a) = -a**2 - 10*a + 4. Let m be x(-10). Let f be (m/6)/(32/24). Let i = -88/3 + 29. What is the closest to i in -4/9, f, 2? -4/9 Let m = -0.2 - -3.2. Let z = 0.452 + -0.652. Which is the nearest to m? (a) -3/5 (b) -5 (c) z c Suppose 0 = p - 4*z - 0*z - 23, 3*p + 5*z = -16. Let o = -13.59 - -18.59. Let n = 238/5 + -48. Which is the closest to n? (a) -4 (b) p (c) o b Let a be 9 + -8 + (-4 - -2). Let b be a/(-8)*1/1. What is the nearest to 2 in b, -2, 0? b Let t = 67/92 + -11/23. Which is the closest to -0.02? (a) 6 (b) -3 (c) t c Let k = -0.5 + 0.5. Let r = 5.6 - -2.9. Let s = 9 - r. What is the closest to -0.1 in s, -1, k? k Suppose b = 6*b. Let g = -2689 + 10863/4. Let r = g - 27. What is the closest to r in -1/4, b, 2/19? -1/4 Let h be -11 + 11 + -10 - -10. Let t = -0.2 + 0. Which is the closest to h? (a) -3 (b) 2 (c) t c Let s = 0.5 - 31. Let d = s + 30. Which is the nearest to -0.5? (a) 1 (b) 3/2 (c) d c Let n = -2/101 + 313/505. Suppose 0 = 151*a - 131*a - 100. What is the nearest to -2 in -2/11, n, a? -2/11 Let o = 1014.4 - 1014.6. Let y = 3 + -4. Let x = -0.3 + 0.3. Which is the closest to y? (a) -4/7 (b) o (c) x a Let r = 572 - 7434/13. Let i(f) = -2*f + 2*f - 2*f + 0*f + 4 - f**2. Let x be i(-4). What is the closest to 1 in r, 0.5, x? 0.5 Let s = -0.201 + -0.099. What is the closest to -1 in 5, 0.2, s, -0.044? s Suppose -3*z + 2*u = -4*z + 9, -5*z = 4*u - 33. Suppose 4*m + 3*f - 2 = 2*f, -m - 9 = z*f. Which is the nearest to 0.1? (a) -5 (b) 0.1 (c) m b Let o = -0.1 - -3.1. Let d = o - 2. Let w = 0.072 - -0.128. What is the nearest to d in 4, -2/13, w? w Let d = -1295 + 1293. Let q = -2.8 - -3. What is the closest to d in -2, -4, q? -2 Let j = -8 + 18.8. Let a = j - 11. What is the nearest to a in -1/6, -0.2, 2/9? -0.2 Let b = 187.6 - 188. Let p = -2 + 1. What is the nearest to -1 in 4/7, b, p? p Let v = 74.5 + -74.9. What is the ne
{ "pile_set_name": "DM Mathematics" }
test common divisor of 711 and 261. 9 What is the greatest common factor of 12 and 484? 4 Calculate the highest common divisor of 20 and 320. 20 Calculate the highest common divisor of 4 and 2. 2 Calculate the highest common divisor of 5069 and 185. 37 What is the highest common factor of 40 and 340? 20 Calculate the greatest common factor of 2581 and 493. 29 What is the greatest common divisor of 10 and 23710? 10 Calculate the greatest common factor of 176 and 3184. 16 What is the highest common factor of 1565 and 16589? 313 Calculate the highest common factor of 1580 and 700. 20 Calculate the greatest common divisor of 68 and 2227. 17 Calculate the greatest common divisor of 664 and 232. 8 Calculate the greatest common factor of 360 and 610. 10 What is the greatest common divisor of 2318 and 1862? 38 What is the highest common divisor of 210 and 140? 70 Calculate the highest common factor of 111 and 81. 3 Calculate the highest common divisor of 12 and 1800. 12 Calculate the greatest common factor of 57 and 817. 19 What is the highest common divisor of 244 and 16? 4 What is the greatest common divisor of 12 and 148? 4 What is the greatest common divisor of 188 and 4512? 188 What is the greatest common divisor of 120 and 970? 10 Calculate the highest common factor of 623 and 267. 89 Calculate the greatest common factor of 300 and 700. 100 What is the greatest common divisor of 301 and 7? 7 What is the greatest common divisor of 188 and 1128? 188 Calculate the highest common divisor of 2 and 16. 2 Calculate the highest common divisor of 1564 and 368. 92 Calculate the highest common factor of 52 and 5668. 52 What is the greatest common divisor of 80 and 944? 16 What is the highest common factor of 38 and 1292? 38 What is the highest common divisor of 275 and 75? 25 What is the highest common factor of 702 and 4? 2 What is the highest common factor of 216 and 6? 6 What is the highest common factor of 91 and 13? 13 Calculate the highest common factor of 2 and 3. 1 Calculate the highest common factor of 70 and 230. 10 Calculate the highest common factor of 54 and 3834. 54 What is the highest common divisor of 243 and 33777? 243 What is the highest common factor of 66 and 132? 66 Calculate the highest common factor of 34 and 2057. 17 Calculate the highest common factor of 288 and 36. 36 Calculate the highest common factor of 60 and 96. 12 What is the highest common divisor of 4446 and 9234? 342 Calculate the greatest common divisor of 1 and 13. 1 What is the highest common divisor of 68 and 3383? 17 What is the highest common factor of 135 and 2304? 9 What is the greatest common factor of 2106 and 26? 26 Calculate the greatest common factor of 165 and 121. 11 What is the greatest common factor of 324 and 1404? 108 What is the greatest common factor of 71 and 639? 71 What is the highest common factor of 48 and 11112? 24 What is the highest common factor of 1474 and 88? 22 What is the highest common factor of 31126 and 158? 158 What is the highest common divisor of 893 and 57? 19 What is the highest common factor of 3 and 82? 1 Calculate the highest common factor of 24 and 21. 3 Calculate the greatest common divisor of 9 and 9. 9 What is the greatest common factor of 114 and 190? 38 What is the highest common divisor of 34 and 17? 17 What is the highest common divisor of 28 and 52? 4 Calculate the greatest common divisor of 260 and 1280. 20 Calculate the greatest common factor of 14 and 378. 14 What is the highest common divisor of 12806 and 38? 38 What is the highest common divisor of 24 and 1620? 12 What is the greatest common divisor of 10 and 76070? 10 Calculate the highest common factor of 87 and 3. 3 What is the highest common factor of 12 and 9948? 12 Calculate the greatest common divisor of 30 and 130. 10 Calculate the greatest common divisor of 155 and 59210. 155 Calculate the greatest common factor of 752 and 24. 8 Calculate the greatest common divisor of 294 and 3136. 98 What is the highest common divisor of 95778 and 306? 306 What is the greatest common divisor of 28067 and 13? 13 What is the highest common factor of 57 and 95? 19 Calculate the highest common divisor of 133 and 217. 7 What is the highest common divisor of 2256 and 96? 48 What is the greatest common divisor of 30 and 620? 10 What is the highest common divisor of 360 and 3000? 120 Calculate the highest common factor of 5125 and 615. 205 Calculate the greatest common factor of 6045 and 975. 195 Calculate the highest common factor of 7 and 56. 7 What is the greatest common factor of 924 and 176? 44 What is the highest common divisor of 852 and 12? 12 Calculate the highest common divisor of 4595 and 10. 5 What is the greatest common divisor of 3 and 356? 1 What is the highest common divisor of 245 and 30? 5 Calculate the highest common divisor of 60 and 2680. 20 Calculate the greatest common factor of 1649 and 17. 17 Calculate the highest common factor of 583 and 44. 11 Calculate the greatest common divisor of 255 and 45. 15 Calculate the highest common divisor of 192 and 2784. 96 Calculate the greatest common divisor of 32 and 2. 2 What is the greatest common divisor of 122 and 1159? 61 What is the highest common divisor of 6831 and 11? 11 Calculate the greatest common factor of 119 and 136. 17 Calculate the greatest common divisor of 48 and 1134. 6 Calculate the greatest common divisor of 2080 and 130. 130 What is the greatest common factor of 408 and 312? 24 What is the highest common factor of 208 and 1352? 104 What is the greatest common divisor of 36 and 243? 9 Calculate the highest common factor of 30 and 222. 6 What is the greatest common factor of 413 and 42126? 413 Calculate the highest common factor of 110 and 2090. 110 What is the greatest common factor of 106 and 36994? 106 Calculate the greatest common divisor of 295 and 10. 5 Calculate the greatest common factor of 3267 and 81. 27 What is the highest common factor of 135 and 85? 5 What is the highest common factor of 87 and 29? 29 What is the highest common factor of 91 and 1469? 13 Calculate the highest common divisor of 1690 and 13. 13 What is the greatest common divisor of 1462 and 51? 17 Calculate the highest common factor of 220 and 330. 110 What is the greatest common factor of 434 and 896? 14 What is the highest common divisor of 92 and 2921? 23 Calculate the greatest common factor of 75 and 510. 15 Calculate the greatest common divisor of 28462 and 266. 266 What is the highest common factor of 1060 and 40? 20 Calculate the greatest common factor of 39 and 559. 13 Calculate the greatest common factor of 500 and 150. 50 Calculate the greatest common divisor of 82 and 533. 41 Calculate the highest common divisor of 368 and 80. 16 Calculate the greatest common factor of 15 and 195. 15 What is the greatest common divisor of 45 and 3840? 15 What is the greatest common factor of 168 and 728? 56 What is the greatest common factor of 117 and 78? 39 Calculate the highest common divisor of 50350 and 19. 19 What is the greatest common divisor of 1596 and 12? 12 Calculate the greatest common divisor of 23430 and 284. 142 What is the highest common factor of 2532 and 36? 12 What is the greatest common factor of 1844 and 20? 4 What is the highest common divisor of 468 and 36? 36 What is the greatest common divisor of 962 and 26? 26 What is the highest common divisor of 15 and 3795? 15 What is the greatest common divisor of 987 and 12173? 329 What is the highest common factor of 4729 and 2? 1 Calculate the highest common divisor of 36 and 6012. 36 Calculate the highest common factor of 441 and 14. 7 Calculate the greatest common factor of 1431 and 27. 27 Calculate the highest common divisor of 4 and 188. 4 What is the greatest common factor of 1261 and 97? 97 What is the greatest common factor of 54 and 1647? 27 Calculate the greatest common divisor of 13 and 3328. 13 Calculate the highest common divisor of 68 and 28. 4 Calculate the greatest common divisor of 110 and 3795. 55 Calculate the greatest common divisor of 35 and 85. 5 Calculate the highest common factor of 792 and 99. 99 Calculate the highest common factor of 1081 and 141. 47 What is the highest common factor of 52 and 845? 13 Calculate the greatest comm
{ "pile_set_name": "DM Mathematics" }
qrt(486)). sqrt(5)/9 Simplify ((5 + ((2*sqrt(133) + sqrt(133))*-2)/sqrt(7))*5)**2*2 + 0. -3000*sqrt(19) + 35450 Simplify (2*(4*(sqrt(156)*1 + sqrt(156)))/(sqrt(48)/sqrt(4)*-1))**2. 3328 Simplify ((sqrt(405)*-3)**2 + -3)*2*6. 43704 Simplify (1*(-1*sqrt(343) + sqrt(343)) + -2 - (1 + -2 + 3*sqrt(343)))**2. 42*sqrt(7) + 3088 Simplify ((sqrt(1700) + -3 - (-2 + sqrt(17)*-3))*6)**2. -936*sqrt(17) + 103464 Simplify (sqrt(54)/(sqrt(6)*-3))/(sqrt(300)*-5). sqrt(3)/150 Simplify (sqrt(480)*-2*-3 - (sqrt(480) + (sqrt(480)*-1*-5 - sqrt(480)) + sqrt(480)))/((sqrt(120)*2*-5)/sqrt(12)). 0 Simplify 4 + ((sqrt(99)*-1*-4)/(sqrt(81)/sqrt(81)))**2. 1588 Simplify ((2*sqrt(208) + sqrt(208))*-4)/((sqrt(4) + sqrt(4) + sqrt(16)/(sqrt(8)/sqrt(2)) + sqrt(4))*6). -sqrt(13) Simplify ((sqrt(275) - ((sqrt(275) + 1*sqrt(275) - sqrt(275)) + sqrt(275)))/sqrt(5)*1)/(-3*2*sqrt(33)/sqrt(3)). sqrt(5)/6 Simplify ((sqrt(77) + 1*(sqrt(77) + sqrt(77)*-2) + sqrt(77)*-1*-2)/(sqrt(14)/((sqrt(8) - (sqrt(8) + sqrt(8)*2)) + sqrt(2))))**2. 396 Simplify (-1*sqrt(90))/(3*sqrt(14)/sqrt(7)) + 0. -sqrt(5) Simplify (sqrt(2736) + (2*sqrt(2736) - sqrt(2736)) + sqrt(19))**2 + sqrt(38)/sqrt(2) + 2 + (5*(sqrt(19) + sqrt(1900) + 1 + sqrt(1900)))**2. 1051*sqrt(19) + 221377 Simplify -6*(sqrt(21) + -2*sqrt(21) + sqrt(21))/sqrt(3) + sqrt(77)/(sqrt(88)/sqrt(8)*-4). -sqrt(7)/4 Simplify 3*(sqrt(19) + 1*sqrt(19) + -1 - (sqrt(171)/(sqrt(9)*2) + sqrt(19))**2 - ((sqrt(931) + sqrt(931) + -1)*-3 - sqrt(931))**2). -548061/4 + 888*sqrt(19) Simplify (sqrt(48)/sqrt(3))/(sqrt(162) + sqrt(162)*-4). -2*sqrt(2)/27 Simplify 2 + -3*sqrt(832)*3 + (sqrt(637) - (sqrt(637)*5)**2)*-5. -107*sqrt(13) + 79627 Simplify (-6*(sqrt(833) + -2*sqrt(833)*4) + -2)*-5. -1470*sqrt(17) + 10 Simplify (6*(3*(sqrt(3) + -2*(sqrt(3)*2 - sqrt(3))) + 3))**2*3. -1944*sqrt(3) + 3888 Simplify (-3 + 3 + 4 + (-4 + sqrt(11) + 0 + 0)*-1)**2. -16*sqrt(11) + 75 Simplify (-3 + (-4*(sqrt(133) - (sqrt(133)*1 + sqrt(133))))/((sqrt(252)/sqrt(4))/sqrt(9) + sqrt(7)))**2 + 0. -12*sqrt(19) + 85 Simplify -1*4*(-2 + 5*(sqrt(243) + 2)). -180*sqrt(3) - 32 Simplify (3 + sqrt(300) + -3 + 4*sqrt(300) + -2)**2 + 5. -200*sqrt(3) + 7509 Simplify ((-1*sqrt(429))/sqrt(11))/(sqrt(108) - (sqrt(108) + (sqrt(108)*-1 - sqrt(108))))*2. -sqrt(13)/6 Simplify -1*-4*-5*(sqrt(468) + -2). -120*sqrt(13) + 40 Simplify (2*sqrt(12) + -2*(sqrt(3)*3)**2)*2 + 0. -108 + 8*sqrt(3) Simplify -2 + 1*(sqrt(468)*-2 + sqrt(468))*6*5. -180*sqrt(13) - 2 Simplify 1*((sqrt(78) + 4*sqrt(78))*-5)/(3*sqrt(6)*5). -5*sqrt(13)/3 Simplify (sqrt(324) + (sqrt(324) - 2*sqrt(324))*-4 + sqrt(324))/(sqrt(10)/(sqrt(180)*-1)). -324*sqrt(2) Simplify (2 + -5 + (1 + sqrt(48))**2)*4 + 1. 32*sqrt(3) + 185 Simplify (6*((sqrt(132) - (sqrt(132) - sqrt(132)*3)) + sqrt(132))*-4)/(sqrt(36)/sqrt(3)*-6 - sqrt(12) - (sqrt(1200) - sqrt(1200)*2)). -32*sqrt(11) Simplify (2*sqrt(2000))/(-1*sqrt(196)) - ((sqrt(500) + (0 + sqrt(500) + sqrt(500))*6 - sqrt(500)) + (sqrt(500) - (1*sqrt(500) + -4)) + sqrt(500))**2. -84516 - 7300*sqrt(5)/7 Simplify -1 + ((sqrt(8) - sqrt(800))*-4)/(sqrt(196)*-2). -18*sqrt(2)/7 - 1 Simplify (4*4*sqrt(84)/sqrt(3))/(sqrt(24)/(sqrt(12)/(sqrt(2) + 3*sqrt(2)))). 4*sqrt(7) Simplify (5 + sqrt(50)/(2*sqrt(160)) + 0 + 0 + sqrt(125))**2. 205*sqrt(5)/4 + 10005/64 Simplify 1*2*sqrt(1100) + (5*(sqrt(77) + 1*sqrt(77)) + sqrt(77))/sqrt(7). 31*sqrt(11) Simplify -6*(3*-1*sqrt(245) + 5*-2*sqrt(245) + sqrt(245) - -5*((0 + sqrt(245) + sqrt(245))*-5 + sqrt(245)))**2. -4776030 Simplify (sqrt(52)/(sqrt(100) + sqrt(4)) - sqrt(13)) + 2 + 2*(sqrt(325)*-2)**2. -5*sqrt(13)/6 + 2602 Simplify -5 + 3 + (0 + sqrt(880)/sqrt(5))**2 + (-4 + sqrt(44)/sqrt(4)*-2)**2. 16*sqrt(11) + 234 Simplify 3 + -4*(-2*sqrt(17) + sqrt(17))**2 - ((sqrt(34) - (-3*sqrt(204))/sqrt(6)) + sqrt(34))/sqrt(2). -65 - 5*sqrt(17) Simplify (-4*(sqrt(133)*-2 + sqrt(133) + sqrt(133)) - (-2*sqrt(133) - sqrt(133))*1)/((sqrt(448)*3)/sqrt(4)). sqrt(19)/4 Simplify 3 + (1 + (0 + sqrt(19))*-3 + (sqrt(171) - sqrt(171)*2)/sqrt(9))**2 + -4. -8*sqrt(19) + 304 Simplify (sqrt(63) + sqrt(2268) + 1)**2 - (0 + sqrt(1008) - sqrt(1008)). 42*sqrt(7) + 3088 Simplify ((sqrt(260)*-6 + sqrt(260))/sqrt(10))/(sqrt(24)/(sqrt(12)*2)) + 4. -10*sqrt(13) + 4 Simplify -6*(sqrt(20)/(2*sqrt(400)) + (-5 + -2*sqrt(180))**2). -4470 - 7203*sqrt(5)/10 Simplify -1 + sqrt(1728)/sqrt(6) + (sqrt(14)/(sqrt(7) - sqrt(1008)*1))**2. -119/121 + 12*sqrt(2) Simplify 6*-3*2*(4 + (((-1 + sqrt(176))*-3)**2 - sqrt(176))). -57492 + 2736*sqrt(11) Simplify 2*((-2*sqrt(170)/(-2*sqrt(10)*-3))**2 + -1). 16/9 Simplify (-6*3*sqrt(102) + sqrt(102))/(sqrt(6) + -6*sqrt(384)). 17*sqrt(17)/47 Simplify (5 + (sqrt(50) + (sqrt(50) + 1)**2 - sqrt(2)) + (0 + sqrt(2))**2*3)*1. 14*sqrt(2) + 62 Simplify (-1*sqrt(171)*-2*1)/(sqrt(45)/(sqrt(605) + (sqrt(605) - (sqrt(605)*-2 + sqrt(605) + sqrt(605))) - sqrt(605))). 22*sqrt(19) Simplify ((4*-2*sqrt(418) - sqrt(418))/sqrt(11))/(sqrt(800) + (2*sqrt(800) - sqrt(800) - sqrt(800))). -9*sqrt(19)/20 Simplify -4*(1 + sqrt(1573))**2 + sqrt(117)/(2*1*sqrt(9)). -6296 - 175*sqrt(13)/2 Simplify ((sqrt(240)/sqrt(4)*5)/(sqrt(36)/sqrt(3)*-4) + -4)**2. 10*sqrt(5) + 381/16 Simplify ((4 + (1 + sqrt(272) + -3 - (-1 + sqrt(272))*-5))*2)**2. -576*sqrt(17) + 39204 Simplify (sqrt(400)*2*-5)/(-5*sqrt(72)/(sqrt(9) - (-2*sqrt(9) - sqrt(9)))). 40*sqrt(2) Simplify (5*-2*sqrt(405) + (sqrt(405) - (sqrt(405) + sqrt(405) + -1*sqrt(405))) + -5)**2 + 5 + (4 + 0 + sqrt(5))**2*-4. 868*sqrt(5) + 40446 Simplify -5*3*(sqrt(2) - -3*sqrt(162))*6. -2520*sqrt(2) Simplify -3 + (sqrt(297)/sqrt(3) - sqrt(11))**2 + (3*sqrt(1100))**2. 9941 Simplify -5*((-3 + sqrt(612))*5*4 + -1). -600*sqrt(17) + 305 Simplify ((-2*sqrt(4235) + sqrt(4235) + sqrt(4235) - sqrt(4235))/sqrt(5))**2 - (sqrt(77)/(2*sqrt(99)))**2. 30485/36 Simplify 2 + sqrt(405)*1 + 0 + (5*-1*sqrt(320))**2. 9*sqrt(5) + 8002 Simplify ((-2 + 2 + sqrt(192) + sqrt(192) + 1)*5)**2 + -1. 800*sqrt(3) + 19224 Simplify -4 + (-3*sqrt(17)*-5 - (-5 + sqrt(17)*2 + sqrt(17)))*5. 21 + 60*sqrt(17) Simplify ((-1*(sqrt(21) + sqrt(231)/(sqrt(176) + sqrt(11))))/(sqrt(15)/(-3*sqrt(5)*-1)))**2. 2268/25 Simplify ((sqrt(33) + sqrt(132)/sqrt(4))*5 - 6*sqrt(33)*-2)/((sqrt(243) - 2*sqrt(243)) + sqrt(243) - -2*sqrt(75)). 11*sqrt(11)/5 Simplify ((sqrt(187) - sqrt(187)*1)*-5 + (sqrt(187) - sqrt(187)*-2*2))/(sqrt(55)/(sqrt(40)/(sqrt(8)*-2))). -5*sqrt(17)/2 Simplify ((((sqrt(78) - (sqrt(78) + -5*sqrt(78)))*-3 - sqrt(78))*-3)/(-4*5*sqrt(6)*1))**2. 1872/25 Simplify (-3*sqrt(171)*-2)/((sqrt(81) - (2*sqrt(81) - sqrt(81))) + sqrt(81)). 2*sqrt(19) Simplify (-6*(sqrt(171)*-3 + sqrt(171)))/(sqrt(144)*1). 3*sqrt(19) Simplify -2 + -4 + (sqrt(52))**2 + ((-2*sqrt(13)*5)**2 - (sqrt(13) + (sqrt(26)/sqrt(2) + sqrt(13) - sqrt(13))**2)*-2). 2*sqrt(13) + 1372 Simplify ((1*sqrt(637))**2 + (sqrt(1872)*2)**2 + 5 + (1 + sqrt(117) - sqrt(13)))*6. 12*sqrt(13) + 48786 Simplify -5*4*(sqrt(2736) + 1 + 3). -240*sqrt(19) - 80 Simplify (-2*(-3*sqrt(132) + sqrt(132))/sqrt(11))/((sqrt(352)/sqrt(128))/sqrt(11)). 16*sqrt(3) Simplify (((sqrt(198)*-1 - sqrt(198))*5)/sqrt(9))/(5*(1*sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77))/sqrt(7)). -sqrt(2)/2 Simplify (((-1*(sqrt(77) - 2*sqrt(77)) + sqrt(77) - sqrt(77))*4)/(4*-3*sqrt(539)))**2. 1/63 Simplify 4*(sqrt(121) - ((sqrt(121) - (sqrt(121) - (-2*sqrt(121) + sqrt(121))))*-3 + sqrt(121) - sqrt(121)))/(sqrt(99) + sqrt(99)*3). -2*sqrt(11)/3 Simplify sqrt(1872) - 2*(sqrt(1872) + (sqrt(1872) - (sqrt(1872) + 1)**2) + sqrt(1872) + sqrt(1872)) - ((-3 + (sqrt(117) - sqrt(13)))*-3)**2. 72*sqrt(13) + 3197 Simplify 3 + ((-2*-1*sqrt(84))/sqrt(6))/(6*(1*sqrt(1008) + sqrt(1008))). sqrt(2)/72 + 3 Simplify (2*-4*((0 + sqrt(242))*-2 - (sqrt(242) + -1 + -5 - sqrt(242))) + -1)**2. -17248*sqrt(2) + 64353 Simplify sqrt(108) + sqrt(108)*1*5 + -5 + (sqrt(108) - 1*sqrt(108))**2 + -1*(sqrt(108) + -1 + -2 + sqrt(108) + sqrt(108)). -2 + 18*sqrt(3) Simplify 4*(5*((sqrt(252) + -2)*-1 + -2*-4*sqrt(252)))**2. 16800*sqrt(7) + 1235200 Simplify (sqrt(168)/(sqrt(108) - sqrt(108)*-1))/((sqrt(8) - (sqrt(8) - (sqrt(8) - 4*sqrt(32)/sqrt(4))))*2). -sqrt(7)/72 Simplify (sqrt(270)*-1)/(sqrt(6) + (sqrt(6) - 4*sqrt(24))) - ((sqrt(315)/sqrt(7) + -2*sqrt(5)*2)*-2)**2. -20 + sqrt(5)/2 Simplify (sqrt(68)/sqrt(18) - (sqrt(238)/sqrt(28) + sqrt(34)))/(sqrt(24)/(sqrt(12) + (sq
{ "pile_set_name": "DM Mathematics" }
hat is 334859.5 tonnes in kilograms? 334859500 How many years are there in three tenths of a century? 30 What is 6966.99ns in hours? 0.000000001935275 What is 628356.9 decades in years? 6283569 How many centuries are there in 90.754 years? 0.90754 What is 41/2 of a microgram in nanograms? 20500 What is 62.59021ug in kilograms? 0.00000006259021 Convert 2.237591 millimeters to centimeters. 0.2237591 How many litres are there in 9.199241ml? 0.009199241 How many centimeters are there in 88.27885 meters? 8827.885 Convert 1.57374 months to decades. 0.0131145 Convert 980219.4 decades to millennia. 9802.194 Convert 3.7516 kilograms to nanograms. 3751600000000 What is 4528.658 millennia in decades? 452865.8 What is 3/50 of a litre in millilitres? 60 What is 56.94235 millilitres in litres? 0.05694235 How many litres are there in 829.3574 millilitres? 0.8293574 Convert 93.54377 years to centuries. 0.9354377 What is 45647.847 microseconds in days? 0.0000005283315625 Convert 61504.4l to millilitres. 61504400 What is 7/2 of a litre in millilitres? 3500 How many milliseconds are there in one sixth of a minute? 10000 Convert 1442.975 centuries to decades. 14429.75 How many micrometers are there in 1/5 of a millimeter? 200 How many millilitres are there in 253403.1 litres? 253403100 What is 57/2 of a century in months? 34200 What is 677583.1l in millilitres? 677583100 What is four fifteenths of a day in minutes? 384 Convert 62381.63 days to hours. 1497159.12 How many nanograms are there in 3/50 of a microgram? 60 What is 6.982587 kilometers in meters? 6982.587 Convert 18928.6821s to days. 0.21908196875 What is thirty-seven halves of a decade in months? 2220 How many years are there in 231138.84 months? 19261.57 What is 1/5 of a century in decades? 2 How many centimeters are there in 11/4 of a meter? 275 Convert 874.807 years to millennia. 0.874807 What is 1/5 of a meter in millimeters? 200 How many milligrams are there in 446603.5ng? 0.4466035 What is 3/32 of a day in minutes? 135 How many kilograms are there in 45/2 of a tonne? 22500 How many seconds are there in 1/4 of a day? 21600 How many grams are there in 9.959968mg? 0.009959968 What is 42/5 of a centimeter in millimeters? 84 How many milligrams are there in 1/16 of a kilogram? 62500 How many centuries are there in fifty-four fifths of a millennium? 108 How many grams are there in three fifths of a kilogram? 600 What is 0.8137246 millennia in months? 9764.6952 How many months are there in 3/8 of a millennium? 4500 What is twenty-one halves of a microgram in nanograms? 10500 What is 42.57765ml in litres? 0.04257765 What is 348294.1ml in litres? 348.2941 How many kilograms are there in 21/8 of a tonne? 2625 How many milliseconds are there in seven eighths of a minute? 52500 What is fifty-two fifths of a centimeter in millimeters? 104 What is 26.61834 millilitres in litres? 0.02661834 Convert 31373.118 days to weeks. 4481.874 How many millilitres are there in 158250.7 litres? 158250700 What is 46/5 of a kilometer in meters? 9200 How many hours are there in 8/3 of a week? 448 How many millilitres are there in 1/10 of a litre? 100 How many seconds are there in two ninths of a hour? 800 What is 6.518853 microseconds in nanoseconds? 6518.853 How many nanograms are there in 3554.613 milligrams? 3554613000 Convert 62.43019ml to litres. 0.06243019 How many nanograms are there in twenty-five quarters of a microgram? 6250 What is 25/4 of a century in months? 7500 How many milliseconds are there in 2.716007 minutes? 162960.42 How many micrometers are there in 0.2542044 meters? 254204.4 How many hours are there in 23/3 of a day? 184 How many milliseconds are there in 57/5 of a second? 11400 What is thirty-four fifths of a microgram in nanograms? 6800 How many seconds are there in 3/16 of a day? 16200 What is 54/5 of a millennium in decades? 1080 How many months are there in 7/15 of a decade? 56 How many grams are there in 13/5 of a kilogram? 2600 What is 25/8 of a millennium in months? 37500 Convert 3.986896mm to micrometers. 3986.896 What is sixty-one halves of a century in decades? 305 How many millilitres are there in 51/8 of a litre? 6375 Convert 8.605573km to micrometers. 8605573000 Convert 6165.823 kilograms to tonnes. 6.165823 What is 3/5 of a litre in millilitres? 600 Convert 20.64296 decades to years. 206.4296 Convert 5.021482 centimeters to millimeters. 50.21482 How many seconds are there in 501.0386 hours? 1803738.96 How many tonnes are there in 349.3512ng? 0.0000000000003493512 How many nanoseconds are there in 7.805114s? 7805114000 How many seconds are there in 2/21 of a week? 57600 What is 32/5 of a milligram in micrograms? 6400 How many millimeters are there in 0.2246544m? 224.6544 Convert 0.4650674l to millilitres. 465.0674 Convert 2391.772 millennia to decades. 239177.2 What is 9109.636 decades in centuries? 910.9636 How many millilitres are there in 10404.45 litres? 10404450 Convert 2.840092 millennia to decades. 284.0092 What is 1.300935 months in decades? 0.010841125 Convert 2774690.4 months to decades. 23122.42 How many nanograms are there in 22091.37 micrograms? 22091370 How many grams are there in 25.0608ug? 0.0000250608 What is 6833.335s in microseconds? 6833335000 What is 19.62244 grams in nanograms? 19622440000 Convert 267.885954 seconds to days. 0.003100531875 What is one tenth of a milligram in nanograms? 100000 How many kilograms are there in 3/5 of a tonne? 600 What is 3/5 of a day in seconds? 51840 How many months are there in 3/5 of a millennium? 7200 How many hours are there in 2.5500174 minutes? 0.04250029 What is 623975.4s in days? 7.2219375 How many centimeters are there in 3/25 of a kilometer? 12000 Convert 9290.878 milliseconds to seconds. 9.290878 What is one sixth of a week in minutes? 1680 Convert 0.531367 nanograms to grams. 0.000000000531367 What is 52/3 of a century in months? 20800 What is 73/4 of a litre in millilitres? 18250 What is 0.1944234cm in kilometers? 0.000001944234 How many millilitres are there in eleven halves of a litre? 5500 What is 15/4 of a litre in millilitres? 3750 Convert 39353.56 grams to kilograms. 39.35356 How many micrometers are there in 17/2 of a millimeter? 8500 How many micrograms are there in three fifths of a milligram? 600 What is 1/4 of a week in minutes? 2520 What is thirty-two fifths of a litre in millilitres? 6400 How many kilograms are there in eighteen fifths of a tonne? 3600 How many seconds are there in one tenth of a week? 60480 Convert 15.69805 microseconds to milliseconds. 0.01569805 How many hours are there in 433.611 days? 10406.664 How many meters are there in 89.4312nm? 0.0000000894312 What is 1/4 of a litre in millilitres? 250 How many litres are there in 0.1628853ml? 0.0001628853 What is 6/5 of a century in years? 120 Convert 7.292516ng to micrograms. 0.007292516 What is 1/4 of a litre in millilitres? 250 How many millilitres are there in 6/25 of a litre? 240 What is five quarters of a millennium in years? 1250 How many kilograms are there in 49/4 of a tonne? 12250 What is 2/125 of a milligram in nanograms? 16000 How many nanograms are there in 11/8 of a microgram? 1375 How many decades are there in 68.59261 centuries? 685.9261 Convert 285.6084 days to weeks. 40.8012 How many millilitres are there in eighteen fifths of a litre? 3600 How many grams are there in 5/4 of a kilogram? 1250 How many hours are there in eight thirds of a day? 64 What is 13/4 of a litre in millilitres? 3250 What is fourty-five quarters of a microgram in nanograms? 11250 How many millilitres are there in nine tenths of a litre? 900 Convert 1.054006 centuries to months. 1264.8072 How many milligrams are there in 7.579318ng? 0.000007579318 Convert 6.928615ml to litres. 0.006928615 How many millilitres are there in 27/4 of a litre? 6750 What is 0.0641963ml in litres? 0.0000641963 Convert 25.2590562 milliseconds to weeks. 0.0000000417643125 What is 8.389745 centuries in decades? 83.89745 What is twenty-nine fifths of a millisecond in microseconds? 5800 What is 72.9935mm in micrometers? 72993.5 How many meters are there in 812937.7 micrometers? 0.8129377 What is 5/8 of a litre in millilitres? 625 How many meters are there in six fifths of a kilometer? 12
{ "pile_set_name": "DM Mathematics" }
o: 1}. 1/210 What is prob of sequence fxk when three letters picked without replacement from ufcxiuk? 1/210 Four letters picked without replacement from {c: 7, v: 1, a: 1, l: 2, t: 4, m: 5}. What is prob of sequence tmvt? 1/1938 Calculate prob of sequence wfw when three letters picked without replacement from ffffwwwewwwwwwef. 3/28 Calculate prob of sequence cck when three letters picked without replacement from crcrrocoockocc. 5/364 Calculate prob of sequence gzg when three letters picked without replacement from {g: 2, z: 14, m: 2, a: 1}. 14/2907 What is prob of sequence gg when two letters picked without replacement from doogoodgo? 1/36 Two letters picked without replacement from {k: 1, d: 3, e: 1, u: 10, a: 2}. What is prob of sequence da? 3/136 Calculate prob of sequence lv when two letters picked without replacement from {v: 8, l: 4, r: 5, z: 1}. 16/153 Calculate prob of sequence gd when two letters picked without replacement from {g: 5, d: 2, r: 5}. 5/66 What is prob of sequence nf when two letters picked without replacement from {f: 4, n: 2, g: 3, x: 2, m: 1}? 2/33 Two letters picked without replacement from ozozzzzisiszosozzzoz. What is prob of sequence iz? 1/19 What is prob of sequence sa when two letters picked without replacement from {s: 1, x: 1, a: 2}? 1/6 What is prob of sequence gg when two letters picked without replacement from gggg? 1 Two letters picked without replacement from {q: 1, b: 2, t: 1, f: 1, m: 1, z: 1}. Give prob of sequence bm. 1/21 What is prob of sequence oi when two letters picked without replacement from aaaorsiajiasi? 1/52 Calculate prob of sequence bbb when three letters picked without replacement from {b: 3, h: 3, f: 6, p: 1}. 1/286 Two letters picked without replacement from aaazeaevlasea. Give prob of sequence lv. 1/156 What is prob of sequence ddd when three letters picked without replacement from dwdd? 1/4 Three letters picked without replacement from {i: 2, h: 2}. Give prob of sequence iih. 1/6 Calculate prob of sequence nfii when four letters picked without replacement from gijjgnjnifjingj. 1/1820 Two letters picked without replacement from {w: 3, y: 1, q: 4, i: 2}. What is prob of sequence yi? 1/45 What is prob of sequence nkn when three letters picked without replacement from kkkkknknkkkkkkknknkk? 8/285 Two letters picked without replacement from qyqqayaq. Give prob of sequence qq. 3/14 Two letters picked without replacement from rlllisr. Give prob of sequence sr. 1/21 Four letters picked without replacement from {y: 1, g: 1, t: 1, e: 2}. What is prob of sequence tyge? 1/60 What is prob of sequence fii when three letters picked without replacement from fii? 1/3 Three letters picked without replacement from wpwsw. What is prob of sequence wsp? 1/20 Two letters picked without replacement from qqqtqt. What is prob of sequence qq? 2/5 Three letters picked without replacement from {h: 1, m: 1, l: 1, c: 1, x: 1}. Give prob of sequence lhm. 1/60 Four letters picked without replacement from zzjackkczccnaj. What is prob of sequence kjjc? 2/3003 Calculate prob of sequence ltt when three letters picked without replacement from ttlttttttttttk. 11/182 Four letters picked without replacement from cxcycxhxcxcccccchhh. Give prob of sequence cxhc. 5/323 Four letters picked without replacement from ovvvqvvhao. Give prob of sequence oovv. 1/126 Four letters picked without replacement from nndnndnndn. What is prob of sequence ddnn? 1/20 What is prob of sequence hqh when three letters picked without replacement from hqqhq? 1/10 What is prob of sequence cdv when three letters picked without replacement from ccccdzczwvcwz? 1/286 What is prob of sequence cc when two letters picked without replacement from {c: 3}? 1 Four letters picked without replacement from ldnxnaanaafdnxa. Give prob of sequence aafl. 1/1638 What is prob of sequence oo when two letters picked without replacement from oeeeoezweoo? 6/55 Two letters picked without replacement from oksyo. Give prob of sequence os. 1/10 What is prob of sequence hog when three letters picked without replacement from {n: 4, g: 2, o: 11, h: 1, c: 1}? 11/2907 Two letters picked without replacement from cccclccclclccccccc. Give prob of sequence cc. 35/51 What is prob of sequence rrd when three letters picked without replacement from rqkrrrrqdqq? 2/99 Three letters picked without replacement from {l: 1, f: 2, b: 3, i: 3, k: 1, p: 1}. What is prob of sequence kbl? 1/330 Three letters picked without replacement from cjlcllllyllll. Give prob of sequence lyc. 3/286 What is prob of sequence pcf when three letters picked without replacement from {l: 3, c: 2, y: 1, f: 9, p: 2}? 3/340 Calculate prob of sequence sx when two letters picked without replacement from bsbtbbxbxxtxtxxtb. 3/136 Four letters picked without replacement from {o: 1, f: 2, y: 2, i: 1, h: 1, k: 2}. Give prob of sequence iffo. 1/1512 Calculate prob of sequence idr when three letters picked without replacement from {w: 1, i: 1, d: 1, f: 1, r: 1}. 1/60 Calculate prob of sequence egw when three letters picked without replacement from lwweeellgwwllgewlel. 25/2907 Calculate prob of sequence ey when two letters picked without replacement from yyyyeyeyyeeyyeyeyy. 4/17 Two letters picked without replacement from tustttatttstt. What is prob of sequence ts? 3/26 Calculate prob of sequence dz when two letters picked without replacement from zzzzxdd. 4/21 Calculate prob of sequence uju when three letters picked without replacement from {k: 4, u: 9, g: 1, j: 2}. 3/70 Three letters picked without replacement from {q: 1, l: 1, h: 17}. Give prob of sequence hhq. 8/171 Calculate prob of sequence jpp when three letters picked without replacement from xjxxpxpxxmxxxppp. 1/168 Three letters picked without replacement from {l: 6, w: 4, y: 4, n: 4}. Give prob of sequence yyn. 1/102 Calculate prob of sequence hwtt when four letters picked without replacement from twth. 1/12 What is prob of sequence gd when two letters picked without replacement from ddudg? 3/20 Two letters picked without replacement from yyyefjjjjyjfxzefjfjj. Give prob of sequence xf. 1/95 What is prob of sequence bb when two letters picked without replacement from bbbbbbbbbb? 1 What is prob of sequence ssl when three letters picked without replacement from {l: 6, s: 4}? 1/10 Three letters picked without replacement from ovqvvoopvovvpv. What is prob of sequence poq? 1/273 What is prob of sequence iiia when four letters picked without replacement from {i: 4, a: 3}? 3/35 Calculate prob of sequence rnq when three letters picked without replacement from {u: 1, n: 1, r: 1, q: 2, j: 1, k: 1}. 1/105 What is prob of sequence ts when two letters picked without replacement from tszst? 1/5 What is prob of sequence oo when two letters picked without replacement from {p: 9, o: 5}? 10/91 Three letters picked without replacement from {z: 2, o: 1, d: 2, y: 1, u: 1}. What is prob of sequence oud? 1/105 What is prob of sequence ibii when four letters picked without replacement from bbbiibbbbbbibbbb? 1/560 What is prob of sequence vqq when three letters picked without replacement from {v: 13, q: 5}? 65/1224 Calculate prob of sequence oaoa when four letters picked without replacement from aaoaao. 1/15 What is prob of sequence ryyj when four letters picked without replacement from {r: 4, y: 3, j: 2, o: 3, v: 2, l: 2}? 1/910 What is prob of sequence umm when three letters picked without replacement from ximumuuxxmmuuux? 12/455 Three letters picked without replacement from {u: 3, j: 4, z: 7}. Give prob of sequence jju. 3/182 Three letters picked without replacement from ccccccc. Give prob of sequence ccc. 1 Four letters picked without replacement from uvvvdidiiuti. What is prob of sequence iduv? 2/495 Three letters picked without replacement from {y: 3, i: 1, z: 1, b: 2}. What is prob of sequence iyz? 1/70 Two letters picked without replacement from jhhhhjhjhjh. Give prob of sequence hh. 21/55 Calculate prob of sequence vvzx when four letters picked without replacement from xvcxzvxvscsxzxxczx. 7/4080 Four letters picked without replacement from pcppppcjjggpppjg. Give prob of sequence jjpc. 1/455 Calculate prob of sequence eep when three letters picked without replacement from {p: 1, e: 3}. 1/4
{ "pile_set_name": "DM Mathematics" }
r of 13820 and 580. 20 Calculate the greatest common divisor of 2430 and 21735. 135 Calculate the greatest common factor of 1099284 and 2424. 1212 Calculate the highest common factor of 1441041 and 147. 147 What is the greatest common divisor of 18 and 255222? 18 Calculate the highest common factor of 3354 and 602. 86 What is the highest common factor of 405 and 13005? 45 What is the greatest common factor of 475 and 551? 19 Calculate the highest common factor of 29318 and 1918. 274 What is the highest common factor of 24038 and 5252? 202 What is the highest common factor of 137674 and 152? 38 What is the highest common divisor of 33165 and 792? 99 What is the greatest common divisor of 21125 and 16625? 125 Calculate the highest common divisor of 1264986 and 1302. 186 Calculate the greatest common divisor of 9680 and 1375. 55 What is the highest common divisor of 3735 and 2355? 15 Calculate the highest common divisor of 272 and 11288. 136 What is the highest common factor of 3445 and 79765? 265 Calculate the highest common divisor of 6609520 and 80. 80 Calculate the highest common factor of 14 and 3318. 14 Calculate the highest common divisor of 2154 and 22976. 718 What is the highest common divisor of 165 and 12489? 3 Calculate the greatest common divisor of 9517 and 713. 31 What is the highest common divisor of 36 and 42087? 3 Calculate the greatest common factor of 1700 and 28800. 100 What is the highest common factor of 346032 and 890? 178 What is the greatest common divisor of 13315 and 35? 5 What is the highest common factor of 125 and 760? 5 Calculate the greatest common divisor of 7852 and 244. 4 What is the greatest common divisor of 108330 and 414? 138 What is the highest common divisor of 224 and 187138? 14 What is the greatest common factor of 30225 and 193635? 195 What is the highest common factor of 45683 and 22? 11 What is the greatest common factor of 6 and 42286? 2 What is the highest common factor of 7786 and 918? 34 Calculate the greatest common divisor of 2980 and 640. 20 Calculate the highest common factor of 114 and 335331. 57 What is the highest common divisor of 120 and 8304? 24 Calculate the highest common factor of 6272 and 1120. 224 Calculate the greatest common factor of 3295 and 165. 5 What is the greatest common factor of 16 and 26900? 4 Calculate the greatest common factor of 100 and 56280. 20 What is the greatest common factor of 383367 and 204? 51 What is the highest common factor of 12354 and 2769? 213 Calculate the greatest common divisor of 4661 and 14219. 59 Calculate the highest common factor of 14123 and 974. 487 Calculate the highest common factor of 412100 and 50. 50 Calculate the greatest common factor of 3515 and 1018055. 185 Calculate the greatest common factor of 15089 and 869. 79 Calculate the greatest common factor of 42 and 650853. 21 Calculate the greatest common factor of 95 and 15580. 95 Calculate the highest common factor of 737 and 1350921. 737 What is the greatest common divisor of 1150352 and 1456? 112 What is the highest common divisor of 151300 and 2550? 850 What is the highest common factor of 348 and 194793? 87 What is the greatest common divisor of 202 and 894961? 101 What is the highest common divisor of 14 and 30093? 7 Calculate the greatest common divisor of 35 and 47845. 35 Calculate the highest common factor of 172 and 80. 4 Calculate the highest common factor of 536 and 2239408. 536 What is the greatest common divisor of 117 and 156533? 13 What is the highest common factor of 27523 and 221? 17 Calculate the greatest common factor of 12264785 and 1235. 1235 What is the highest common factor of 72 and 14582? 2 What is the greatest common divisor of 1088 and 3434? 34 What is the highest common divisor of 6951 and 49? 7 Calculate the highest common factor of 13135 and 3550. 355 What is the highest common divisor of 185771 and 3152? 197 Calculate the highest common divisor of 32 and 4729. 1 Calculate the highest common factor of 220723 and 1387. 19 Calculate the highest common factor of 15111 and 54. 9 Calculate the greatest common factor of 276582 and 186. 186 What is the highest common divisor of 412296 and 2952? 984 Calculate the greatest common divisor of 82 and 4426. 2 What is the greatest common factor of 16 and 3770768? 16 What is the greatest common factor of 1110 and 108? 6 Calculate the greatest common factor of 2480 and 4805. 155 Calculate the highest common factor of 80 and 41860. 20 Calculate the greatest common factor of 72333 and 6768. 423 What is the greatest common divisor of 13571 and 6951? 331 What is the greatest common divisor of 104 and 86164? 52 What is the highest common factor of 481 and 185081? 13 What is the greatest common divisor of 1591 and 162134? 37 What is the greatest common divisor of 232 and 3896? 8 Calculate the highest common divisor of 248962 and 28. 14 Calculate the greatest common factor of 177192 and 2691. 207 What is the highest common factor of 115300 and 7? 1 Calculate the highest common divisor of 215226 and 138. 6 Calculate the greatest common factor of 87759 and 441. 441 What is the highest common factor of 1533 and 1313270? 511 Calculate the greatest common divisor of 138 and 654. 6 Calculate the greatest common factor of 42 and 2479596. 42 What is the greatest common divisor of 2880020 and 440? 220 Calculate the highest common factor of 931455 and 81. 9 What is the highest common divisor of 190 and 3173? 19 Calculate the highest common factor of 252 and 60612. 12 Calculate the highest common factor of 51990 and 1280. 10 What is the greatest common divisor of 45350 and 4150? 50 What is the greatest common factor of 1109348 and 7408? 1852 Calculate the greatest common divisor of 48660 and 480. 60 Calculate the greatest common factor of 25584 and 1950. 78 What is the highest common divisor of 5608390 and 410? 410 What is the highest common factor of 8938 and 26378? 218 Calculate the greatest common divisor of 54040 and 39758. 386 What is the greatest common factor of 139 and 3753? 139 Calculate the highest common factor of 469378 and 637. 91 What is the highest common divisor of 11310 and 330629? 377 Calculate the highest common divisor of 146756 and 152. 76 Calculate the greatest common divisor of 667 and 25093. 23 Calculate the greatest common factor of 610 and 195566. 122 Calculate the greatest common factor of 605 and 165330. 55 Calculate the highest common factor of 830804 and 1352. 676 What is the greatest common factor of 363 and 178233? 363 What is the highest common factor of 4977080 and 8? 8 Calculate the highest common factor of 77314 and 372. 62 Calculate the greatest common factor of 245 and 869211. 49 Calculate the greatest common factor of 250 and 277625. 125 What is the greatest common factor of 12787 and 7? 1 Calculate the greatest common divisor of 3485 and 3995. 85 What is the highest common factor of 212 and 22949? 53 Calculate the highest common factor of 9301 and 27619. 71 What is the greatest common factor of 89001 and 186? 93 Calculate the greatest common divisor of 412048 and 283. 283 What is the greatest common divisor of 77 and 338611? 7 Calculate the highest common factor of 20517 and 595. 7 What is the greatest common divisor of 59353 and 11102? 427 What is the greatest common factor of 6642 and 19575? 27 Calculate the greatest common factor of 172129 and 43. 43 Calculate the highest common divisor of 176 and 131428. 44 What is the highest common divisor of 16835 and 728? 91 Calculate the greatest common divisor of 314 and 901651. 157 What is the highest common factor of 2300 and 659755? 115 What is the greatest common factor of 248623 and 2120? 53 What is the highest common divisor of 5200 and 446160? 1040 Calculate the greatest common divisor of 3807 and 22936. 47 What is the greatest common divisor of 154049 and 329? 7 What is the highest common divisor of 97 and 195649? 97 Calculate the highest common factor of 14848 and 32768. 512 What is the highest common factor of 2424 and 278457? 303 Calculate the highest common divisor of 1432 and 45544. 8 Calculate the greatest common divisor of 4328 and 104. 8 Calculate the highest common factor of 63 and 9378. 9 Calculate the highest common factor of 15386 a
{ "pile_set_name": "DM Mathematics" }
3, r, 0.5, -1? 2/3 Let z = -17 + 8. Let k = z - -12. Let q be 7/2 - (1 + 1). What is the smallest value in q, 3/7, k? 3/7 Let x = -59 - -57. What is the smallest value in 7, x, 0? x Let d(j) = 3*j - 6*j + j - 7. Let o be d(-6). Let v = -14.3 - -14. Which is the third smallest value? (a) 3 (b) o (c) v b Let z = 0.9 - -3.1. Let y = -6 + z. Let w = -5 + 7. Which is the second smallest value? (a) -5 (b) y (c) w b Let d = -0.325 - 0.075. What is the third smallest value in d, -3, -0.2? -0.2 Let i(n) = n**2 - 5. Let q be i(0). Which is the third biggest value? (a) q (b) 0 (c) 1 a Let v(y) = y**2 - y - 164. Let d be v(0). Let q = 2462/15 + d. Let t be (1/4)/((-4)/(-8)). Which is the third smallest value? (a) q (b) t (c) 3 c Let w = 13 + -8. Which is the smallest value? (a) 1/7 (b) -0.5 (c) w b Let g = -7 - -7.2. Which is the second smallest value? (a) -0.01 (b) g (c) -3 a Let n be ((-11)/(-4))/((-1)/(-4)). Suppose 4*t = n + 13. Which is the smallest value? (a) -0.5 (b) t (c) 1 a Suppose -4*l - 7 = 5. Let u = l + 10/3. What is the smallest value in -2, u, 4? -2 Let k = 69 + -65.7. Let r = 0.7 + k. Let n = 2.4 + -2. What is the second biggest value in r, n, -3? n Let n(t) = -t**3 - 18*t**2 - 16*t + 21. Let s be n(-17). Which is the third smallest value? (a) 0.2 (b) -3 (c) s c Let l = 0 + -0.2. Let j = -13.9 - -13.4. What is the second biggest value in -2/15, l, j? l Let q = 4 - -1. Let n = 5 - 4. What is the biggest value in -1/3, q, n? q Let d = 9 + -6. Let x(m) = -m**2 - 6*m - 4. Let q be x(-4). What is the second biggest value in -0.2, q, d? d Let p = -2.1 - -6.1. Which is the second smallest value? (a) p (b) -4 (c) 3 c Let j = -0.07 - -0.27. Let x = -5 - -7. Let k = -2 - x. What is the second biggest value in k, 1/4, j? j Suppose -2*g - 17 + 7 = 0. Let q = -5 + 5.4. Let n = q + -0.8. Which is the smallest value? (a) 4 (b) n (c) g c Let k = 20/3 - 6. Let f = -6/7 - -11/21. Which is the biggest value? (a) -0.5 (b) f (c) k c Let n be ((-4)/(-3))/(12/18). What is the third biggest value in -0.2, 4, n, -0.1? -0.1 Let s = 3.051 + -0.051. Let b be 1/(1/(2/(-14))). What is the third smallest value in -1/6, s, b? s Let k = -2 + -2. What is the second biggest value in k, 0, -0.2? -0.2 Let w = -0.6 + 0.2. Let x = -5 - -10. Let i = -2027/15 + 135. Which is the smallest value? (a) x (b) w (c) i b Let y(r) = r**3 - 8*r**2 + 10*r + 10. Let v be y(6). What is the second biggest value in v, 0.4, -0.2, 1/2? 0.4 Let m = 3.2 + -1.2. Let g = -4 + 3.7. Which is the smallest value? (a) g (b) m (c) -4 c Let j = -7 - -11. Let s = j + -4.3. Which is the second smallest value? (a) -4 (b) -2/7 (c) s c Let l = 6.34 + -6. Let d = 0.14 - l. Let x be (-1)/(-3 + (2 - 0)). Which is the third biggest value? (a) d (b) x (c) -3/2 c Let g = -6552 - -163778/25. Let x = g + 12/25. What is the second biggest value in x, -1, -3? -1 Let p = 4.2 + -4. Let g = -0.21 + p. Let m = g + -0.29. Which is the smallest value? (a) m (b) 0.4 (c) -0.1 a Let q = 12.5 - 9. Let k = q + -0.5. Suppose 52 = -6*i + 22. Which is the biggest value? (a) i (b) 2/3 (c) k c Suppose 3*y - 4 = -19. Let n be (-1339)/(-65) - (-4)/10. Suppose -n*s = -16*s. What is the third smallest value in s, y, 1/3? 1/3 Let l = -12 + 0. Let x = 1.29 - 0.29. What is the smallest value in 2/5, l, x? l Let o = -799951/70 - -113961/10. Let u = -161/5 - o. Let w = -1853/39 + 143/3. What is the third biggest value in -2, w, u? -2 Let a(k) = -k**3 - 6*k**2 - 5*k + 2. Let b be a(-5). Suppose -10 = 4*y - 74. Let x = -193/12 + y. What is the smallest value in x, -0.2, b? -0.2 Let p be (-1 + -1)/(0 - 1). Let o = 0.22 + 0.28. Which is the third smallest value? (a) p (b) o (c) 3 c Let w = 0.1 - 0.3. Which is the smallest value? (a) 4 (b) 1 (c) w c Let z = 0.37 + 0.13. Which is the third smallest value? (a) z (b) 3 (c) 11 c Let x = -0.18 - -0.38. What is the biggest value in -0.5, x, -3? x Let u = -48 + 243/5. Let p = -7/6 + 5/6. Which is the third biggest value? (a) -4 (b) p (c) u a Suppose 0 = 3*f, 0*m - 5 = -5*m + 5*f. Let i = -1 + 6. Suppose 0 = -5*p - 4*z + 11, -6 = -2*p - 3*z + z. Which is the third smallest value? (a) m (b) i (c) p b Let q(t) = 2*t**2 + 3*t - 4. Let r be q(-3). Let z be (r/(-4))/((-12)/16). What is the biggest value in 5, z, -5/2? 5 Let g be (26/260)/(1/16*-2). What is the second biggest value in -1/6, 3/2, -5, g? -1/6 Let n = -2 + 1.8. What is the fourth smallest value in n, 5, -5, 4? 5 Let n = -31/4 + 8. Which is the second smallest value? (a) 3 (b) 0.1 (c) n (d) -5 b Let g = 7/104 + 4/13. Which is the biggest value? (a) 5 (b) -3 (c) g a Let k be 7/(-28) + (-9)/(-4). Let v be k - 0 - 4 - -1. Which is the second smallest value? (a) 2/3 (b) -4 (c) v c Let b(u) = 2*u - 8. Let s be b(7). Suppose q - 5 = -5*a, s = -2*a - 2*q - 0. Let p be ((-4)/2 + 3)*0. What is the second biggest value in 3, a, p? a Let m = -5 - -3. Let x = -362 + 369. Which is the biggest value? (a) x (b) m (c) -2/9 a Let k = 2.32 + -1.26. Let z = -0.06 + k. What is the biggest value in 5, -1, z? 5 Let u(p) = -p**3 - 3*p**2 + 7*p + 9. Let t be u(-4). Which is the third biggest value? (a) -0.07 (b) -3/8 (c) t c Let s = 4 + -4.1. Let y = -3 - 1. What is the second smallest value in 0, y, s? s Let m = 2 + -2. Let o be ((-2)/22)/((-2)/4). Let u = -0.01 + -0.39. Which is the third smallest value? (a) m (b) o (c) u b Suppose -1 = 4*l - 5. Let s be (9/(-3) + l)/(-9). What is the third smallest value in 1/8, 2/11, s? s Suppose -8 = -4*g - 2*l, 3*g + 3*l - 7 = 5. Let j be g/(4 + 1 - 3). Which is the second biggest value? (a) j (b) -0.4 (c) -3 b Let p = 3.92 + 0.08. What is the second biggest value in p, 0.2, -0.1? 0.2 Let n = -0.2 + 3.2. Let i = 0.01 - 7.01. Let o = i + n. Which is the third smallest value? (a) -2 (b) 0.2 (c) o b Suppose -3*r = 2*v + 90, 4*v + 4*r = v - 134. Let w be (-3)/21 - 34/v. Let o = 3 - 2. Which is the biggest value? (a) w (b) o (c) -5 b Let v = -27/77 + 7/11. Which is the biggest value? (a) -1 (b) -0.4 (c) v c Let w = -5.9 - -5.8. What is the smallest value in -2, w, -1, -0.4? -2 Let w = 0.31 - 0.81. Which is the third biggest value? (a) -3/4 (b) w (c) 4 a Let n = 30 + -30.46. Let w = 21.04 - 21. Let m = w - n. What is the smallest value in -1, m, -0.1? -1 Let l(t) = -t + 7. Let s be l(6). Let j = -4 - -7. Let g = j + s. Which is the smallest value? (a) -1/5 (b) g (c) 2 a Let w = 0.101 + 4.899. Which is the biggest value? (a) -8 (b) 0.5 (c) w c Let y = -44 - -1538/35. What is the second biggest value in 1/2, -1, y? y Let r = 2 + -7. Let j = -12 - -27. Let o be ((-1)/(-2))/(j/(-10)). What is the biggest value in 3/4, o, r? 3/4 Let l(o) be the first derivative of o**3/3 - o**2 + 2*o + 2. Let r be l(2). Let t = -4.08 - -0.08. What is the third smallest value in r, 2/11, t? r Let x be ((-6)/(-4))/((-9)/(-12)). Let j be (x + 2)*(-15)/(-12). Suppose 0 = -2*f - 7*o + 2*o + 16, 4 = o. What is the second smallest value in 1, f, j? 1 Let w = -60.2 - -60. Which is the smallest value? (a) 0.5 (b) 0.3 (c) w (d) 3 c Let v be (-2)/(-4)*(-11 - -7). Which is the biggest value? (a) v (b) 3 (c) -3 b Let k = -5.254 - 0.046. Let g = k - -5. Which is the biggest value? (a) 3 (b) g (c) 0.5 a Let d(i) = -2*i + 2*i**2 - 3*i**2 - 3*i - 4. Let h be d(-3). Suppose -7 = -h*t - t - v, 4*v = 5*t - 40. What is the second smallest value in 3, 0.1, t? 3 Let g = 0 + -0.2. Let a = 0.06 - -0.74. Let j = a - g. What is the second smallest value in j, 3, -5/2? j Suppose 0 = 2*d - 4*z - 20, d + 2 - 16 = 3*z. Suppose 0 = -44*s + 41*s - 3. Which is the third smallest value? (a) -0.5 (b) s (c) d c Let u = 1.3 + -1. Let d be 2/6 + 56/(-6). Let k be (d/16)/((-12)/(-16)). Which is the second smallest value? (a) u (b) k (c) -3/5 c Let q = 6.3 - -1.7. Let o = q - 6. What is the third biggest value in -5, -1, o? -5 Let x = 11/6 + -7/3. What is the second biggest value in x, -12, -4/5? -4/5 Suppose 2*h - 8 = -2*r, -3*h - 5*r + 23 = 3. Suppose 4*p + 0*p - 8 = h. What is the smallest value in 4, 3, p? p Let x = -0.59 + -0.01. Let s = x + 0.7. Let q = 0 + s. What is the second biggest value in -2, q, -2/3? -2/3 Suppose 0 = -5*v + 4 + 1. Let s be v*(-1)/(-6)*1. Which is
{ "pile_set_name": "DM Mathematics" }
*m + 2573*m = -319 for m. -11 Solve 69*h - 320 + 182 = 0 for h. 2 Solve 345 = 72*w + 67 + 1286 for w. -14 Solve 41*i + 6 + 275 + 88 = 0 for i. -9 Solve -9*t + 2367 - 2268 = 0 for t. 11 Solve 578*s = -787 - 21177 for s. -38 Solve 2*x = 26*x for x. 0 Solve 58*f - 19*f + 2288 = -104*f for f. -16 Solve -2*u - 3*u + 132 = 39*u for u. 3 Solve 358*j - 4459 - 911 = 0 for j. 15 Solve 19*z - 84 = -2*z for z. 4 Solve 34*t - 289*t + 6375 = 0 for t. 25 Solve 3660 = 15*m + 3975 for m. -21 Solve -51*n = -9668 + 8546 for n. 22 Solve 21*o + 2033 = 23*o + 105*o for o. 19 Solve 13391 - 13159 = 58*w for w. 4 Solve 317682 = 26*q + 317916 for q. -9 Solve 578*y = -1175 - 1715 for y. -5 Solve 85*x - 7086 = -7341 for x. -3 Solve -12*g + 24*g = -30*g + 294 for g. 7 Solve -25179*j + 25152*j = -470 - 286 for j. 28 Solve -22 + 63 = -13*j - 63 for j. -8 Solve 336*a = 497*a + 2415 for a. -15 Solve 154*h + 22*h + 23*h + 2587 = 0 for h. -13 Solve -266*g + 198 + 68 = 0 for g. 1 Solve -28*w - 320 = -26*w + 38*w for w. -8 Solve -200*x + 1262 + 1538 = 0 for x. 14 Solve 1050*w - 770*w - 2240 = 0 for w. 8 Solve -3*a + 105 = 72 for a. 11 Solve 14*c = 11*c + 19*c + 128 for c. -8 Solve -83*d - 5734 = -7311 for d. 19 Solve -7*b + 126 - 126 = -2*b for b. 0 Solve -4*u + 92 = 57 + 51 for u. -4 Solve 6*m + 168569 - 168443 = 0 for m. -21 Solve -234*g + 4180 - 3946 = 0 for g. 1 Solve -35*q - 11*q - 660 = 9*q for q. -12 Solve 0 = -18*g - 30*g - 36*g + 588 for g. 7 Solve 290 = -54*r + 178*r - 3430 for r. 30 Solve 30122*p = 30099*p + 230 for p. 10 Solve 297*r - 483 = -278*r + 596*r for r. -23 Solve 0 = 16*z + 13*z + 871 - 1132 for z. 9 Solve 291*w = 373*w - 370 - 450 for w. 10 Solve -45*h + 38 - 160 - 58 = 0 for h. -4 Solve 142*v + 31483 = 29495 for v. -14 Solve -1206 = 145*s + 244 for s. -10 Solve 820*c + 131 = 131 for c. 0 Solve -81*m = -158 - 1300 for m. 18 Solve -c - 99 + 87 = -0*c for c. -12 Solve -353*p + 189*p + 918 = -218*p for p. -17 Solve -2*d - 132 = -35*d + 22*d for d. 12 Solve -55*a + 70*a + 105 = 0 for a. -7 Solve -11*u - 26 = 128 for u. -14 Solve -8*a + 6*a - 5*a - 21 = 0 for a. -3 Solve 6*l = -7*l + 20 - 150 for l. -10 Solve 3*v + 2*v + 133 = 218 for v. 17 Solve 10*c - 29*c = -65 - 163 for c. 12 Solve 0 = -5*r - 7806 + 7831 for r. 5 Solve 57*g = 99 - 669 for g. -10 Solve 188 = -23*z + 66*z - 113 for z. 7 Solve 0 = -89*k - 49*k - 3174 for k. -23 Solve -2452 - 9779 = 453*b for b. -27 Solve 210*n + 95*n = -7191 + 2921 for n. -14 Solve -1775 + 191 = 99*d for d. -16 Solve -84*n + 10*n - 116 = 42*n for n. -1 Solve -17*p + 140 = 21 for p. 7 Solve 17408 = 94*j + 930*j for j. 17 Solve 1040 = -77*r + 268 - 691 for r. -19 Solve -47*g + 6*g = -45 - 78 for g. 3 Solve 138*r + 56 = 608 for r. 4 Solve -6*f - 297 = 21*f + 6*f for f. -9 Solve 1480 - 1527 = 47*m for m. -1 Solve 11*y = -16*y - 59 - 22 for y. -3 Solve 2*b - 2040 = 104*b for b. -20 Solve 269*u = -145*u - 54*u + 3744 for u. 8 Solve 1616 = -453*i + 352*i for i. -16 Solve -13*k - 92*k = 356 + 799 for k. -11 Solve -18*a + 66 = -2*a - 10*a for a. 11 Solve 0 = -96*c - 2333 + 1757 for c. -6 Solve 0 = 17*l - 6*l - 4*l + 77 for l. -11 Solve 0*u + 15*u = 610 - 160 for u. 30 Solve 66 - 726 = -29*j - 103*j for j. 5 Solve -7*h = 13*h + 10*h + 120 for h. -4 Solve 135 = -51308*s + 51293*s for s. -9 Solve -42*r + 10*r - 3 = 29 for r. -1 Solve 13*p + 40 = 22 - 138 for p. -12 Solve -453*c = -382*c + 213 for c. -3 Solve 21*k + 5 - 20 = 6 for k. 1 Solve 24 = 57*u - 41*u - 120 for u. 9 Solve -699 = 62*a - 17 for a. -11 Solve 316*r + 1416 - 2070 = 2506 for r. 10 Solve 134*f + 0 = 123*f + 132 for f. 12 Solve 3*w + 4*w = -7*w - 168 for w. -12 Solve 54*j - 30*j + 1072 = -43*j for j. -16 Solve -26*n + 444 + 544 = 208 for n. 30 Solve 57*f - 1286 = -1343 for f. -1 Solve -176*u = 4*u + 3960 for u. -22 Solve -89*k - 2160 = 73*k - 18*k for k. -15 Solve 5*j + 27 = 27*j + 137 for j. -5 Solve -125 = -125*s - 257 - 618 for s. -6 Solve -102*c + 3152 = 67*c + 28*c for c. 16 Solve 10*u = -14*u + 8*u - 240 for u. -15 Solve 0 = 11*v + 6*v - 6*v - 88 for v. 8 Solve -13*r + 2604 = 31*r - 261*r for r. -12 Solve -590*w - 600 = -515*w for w. -8 Solve -33*r + 27*r - 20*r = -78 for r. 3 Solve 59*d = -7*d + 70 + 128 for d. 3 Solve -282*u + 68 = -316*u for u. -2 Solve -393*o + 28 = -411*o - 206 for o. -13 Solve 2068*i - 1273 = 972*i + 1029*i for i. 19 Solve -38*j + 0*j = 1367 - 721 for j. -17 Solve 0 = 415*y - 843*y - 6848 for y. -16 Solve -169 = 20*h + 19 + 52 for h. -12 Solve m + 0*m = 1761 - 1768 for m. -7 Solve 54883*j - 78 = 54877*j for j. 13 Solve 0 = 683*v + 3243 + 5636 for v. -13 Solve -196*t + 748 = -218*t for t. -34 Solve 62*z = 73*z + 99 for z. -9 Solve -16*b - 50*b = 28*b + 564 for b. -6 Solve -58*o - 51 + 91 = -134 for o. 3 Solve 731 = b + 733 for b. -2 Solve -9794 = 440*d - 3194 for d. -15 Solve 0 = -293*o - 345 + 52 for o. -1 Solve -154*l = 3*l - 471 for l. 3 Solve 217*a + 268*a - 10158 = -1913 for a. 17 Solve -181*u = -913 - 1259 for u. 12 Solve 109*u - 926 = -272 for u. 6 Solve 28*m + 1392 - 267 = 153*m for m. 9 Solve 254*j - 2760 = 24*j for j. 12 Solve -103*h + 2788 = 61*h for h. 17 Solve 283 + 120 + 209 = -51*p for p. -12 Solve -3*s - 32 - 31 + 15 = 0 for s. -16 Solve 872 = 92*t - 692 for t. 17 Solve 609*a - 7411 - 2333 = 0 for a. 16 Solve -1919 = 173*u + 1315 + 53 for u. -19 Solve 0 = 31*a + 83900 - 83187 for a. -23 Solve -393*r + 381*r + 288 = 0 for r. 24 Solve 0 = 1746*k - 1503*k + 5346 for k. -22 Solve -3*t + 822 + 818 = 1637 for t. 1 Solve 0 = 4*y - 152 + 140 for y. 3 Solve 21*y + 270 = 48*y for y. 10 Solve 400*m + 1200 = -4560 - 640 for m. -16 Solve 0 = 15*m + 322 - 307 for m. -1 Solve -1005*l + 974*l = 1054 for l. -34 Solve -35*u - 20*u = 19*u + 33*u for u. 0 Solve 22*f + 17*f + 9 = 282 for f. 7 Solve -69*p + 215 + 310 = -441 for p. 14 Solve 390 = 109*k + 1589 for k. -11 Solve -353*m - 148 = -427*m for m. 2 Solve 25535*k = 25524*k + 66 for k. 6 Solve 188*w + 195*w - 315 = 368*w for w. 21 Solve -156*s + 159*s - 11 = 13 for s. 8 Solve -17091*x = -17087*x + 20 for x. -5 Solve 1324 = 226*k - 1614 for k. 13 Solve 156*t = 142*t + 266 for t. 19 Solve 68*u + 392 - 80 = 16*u for u. -6 Solve -289*b = -53*b - 4720 for b. 20 Solve 755*t + 1129 = 657*t - 243 for t. -14 Solve -109*k + 256 + 398 = 0 for k. 6 Solve -214*i - 4655 = 31*i for i. -19 Solve 570*u - 10344 - 281 = 9325 for u. 35 Solve 293*j - 336 = 137*j + 140*j for j. 21 Solve 0 = 1214*u + 10057 + 32433 for u. -35 Solve 75*z + 324 = 183*z for z. 3 Solve 51*y = 287*y + 4653 - 641 for y. -17 Solve -14*h - 26074 = -25990 for h. -6 Solve 175 + 1259 = -239*q for q. -6 Solve -66*s - 10 = -61*s for s. -2 Solve 475*w = -36*w - 9543 + 25895 for w. 32 Solve -187 - 345 = m - 29*m for m. 19 Solve 435*p - 722 - 2228 = 95 for p. 7 Solve 143 = -32*n + 22*n + 13 for n. -13 Solve 0 = 54*g + 9389 - 10091 for g. 13 Solve 0 = -155*o - 584 - 191 for o. -5 Solve 4779 = 34*q + 5391 for q. -18 Solve -135*r = -515*r + 8360 for r. 22 Solve 8*u + 26*u - 374 = 0 for u. 11 Solve 0 = 9*s + 9*s - 45 - 63 for s. 6 Solve 2*z + 0 + 5 + 7 = 0 for z. -6 Solve -12*d - 129 = -11*d - 127 for d. -2 Solve -79*y + 1268 + 140 = 49*y for y. 11 Solve -458*n - 6553 = 1035*n + 9870 for n. -11 Solve -611 = -9*j - 728 for j. -13 Solve -120*l - 211 = 1589 for l. -15 Solve -20*c - 150 - 9 - 81 = 0 for c. -12 Solve 627 = 161*y - 111*y - 373 for y. 20 Solve -167*r = -222*r + 495 for r. 9 Solve 69*i = 134*i - 195 for i. 3 Solve -1819*m + 2504*m - 9590 = 0 for m. 14 Solve 70*k + 163*k + 5796 = -43*k for k. -21 Solve -t = -66*t - 120*t - 4255 for t. -23 Solve -72 + 66 = -23*i - 374 for i. -16 Solve 527 = -528*u + 559*u for u. 17 Solve -305 = 108*z + 9*z - 773 for z. 4 Solve -63*z + 465 + 417 = 0 for z. 14 Solve -12*k - 14 = -86 + 12 for k. 5 Solve -4763*c - 1552 = -4569*c for c. -8 Solve 14*b - 1699 = -1895 for b. -14 Solve -1241 = -77*c + 684 for c. 25 Solve 35*g - 43 = -356 - 72 for g. -11 Solve 32*w - 16*w - 43 - 117 = 0 for w. 10 Solve -21*f = -44653 + 44926 for f. -13 Solve -616*i = -587*i + 78 - 629 for i. 19 Solve 177*q - 157*q = 0 for q. 0 Solve 37*n = -220 - 261 for n. -13 Solve 8075 = -1157*j - 3495 for j. -10 Solve 285*u = 275*u - 28 - 52 for u. -8 Solve 2*j + 23*j - 200 = 0 for j. 8 Solve 1327*g - 1360*g = -33 for g. 1 Solve 8*h = -116*h - 72*h - 19
{ "pile_set_name": "DM Mathematics" }
(16). Suppose i*t - 9320 = 166*t. What is the units digit of t? 2 Let x(f) = f + 135. Let l be (-44)/(-110) - 112/5. What is the units digit of x(l)? 3 Suppose 138*z = 136*z + 8. Suppose -3083 = -5*i + 2*d, -z*d = -9*i + 10*i - 621. What is the hundreds digit of i? 6 Suppose -3*g + 62 = -7*g + 2*y, y - 63 = 4*g. What is the hundreds digit of -2*16/4*922/g? 4 Let z(y) = y**3 + 113*y**2 - 267*y - 907. What is the thousands digit of z(-110)? 4 Suppose 0 = 3*a + 2*h + 2, 2*h + 2 = -a + 4. Let w be a + 1 + 2 + 5. Suppose -5*g = 3*j - 181, g - 79 = -2*j + w*g. What is the tens digit of j? 5 Let a(x) = x**2 - 20*x + 45. Let s be a(6). What is the hundreds digit of (262/(-18))/((-13)/s)*-9? 3 Suppose 25 = -5*v + 15. What is the hundreds digit of 333 - 0 - (-5 - 3)/v? 3 Let n = 30973 + -4955. What is the units digit of n? 8 Let d be 5 + 1 + -12 + 11. Suppose 5*i - 1173 = -3*c, 383 + 394 = 2*c + d*i. What is the units digit of c? 6 Suppose -4 + 13 = 9*q. Suppose -4*c - 17 = 13*c. What is the tens digit of q/((-560)/565 - c)? 1 Let q = 50 - 50. Suppose y - 226 = -2*a, q*y = 4*y - 5*a - 943. Suppose -2*b + 4*b - y = 0. What is the tens digit of b? 1 Let m(s) = -29*s - 187. Let g be m(-7). Suppose 6*k + 12 = 2*k. What is the units digit of (4/g)/(k/(-3084))? 7 Let f = -42 + 45. Suppose q - 88 = -3*n, 4*q - 2*n + f*n - 385 = 0. Suppose -37 = 5*x - q. What is the units digit of x? 2 Let t(m) = 7 - 9 + m**3 - 10*m**2 - 13 - 15*m. Suppose 79*n + 208*n = -393 + 3837. What is the tens digit of t(n)? 9 Suppose -6267 = -15*h + 10444 + 2129. What is the thousands digit of h? 1 Let x = -507 - -354. Let j = 564 + x. What is the tens digit of j? 1 Let m(k) = 5*k + 99. Let r be m(-8). Let x = r + 150. What is the tens digit of x? 0 Let x(n) be the first derivative of 14*n**2 - 23*n - 39. What is the hundreds digit of x(9)? 2 Let n be (7 + 36/(-6))*-5. Let l be (-2)/(-4)*-1*42. What is the units digit of (-99)/l + n + (-2902)/(-14)? 7 Let r = 247 + -214. What is the hundreds digit of r/(-4)*1120/(-24)? 3 Suppose -2650 = 3*t - 5*t. Suppose t = -6*i + 11*i. What is the units digit of i? 5 Let f be 12/42 + (-102)/14. Let g(j) = j**3 + 7*j**2 - 15. Let b be g(f). Let u = b - -67. What is the tens digit of u? 5 Let j(c) = 84*c + 9047. What is the tens digit of j(-80)? 2 What is the tens digit of 48/(-80) + (115/46 - (-1133882)/20)? 9 Suppose -44 = 10*h - 164. Suppose 0 = h*n - 16*n + 2252. Let y = 799 - n. What is the hundreds digit of y? 2 Let o = -265 + 267. Suppose 51*z = f + 55*z - 226, 3*f + o*z - 718 = 0. What is the hundreds digit of f? 2 Let q(a) = a**3 + 22*a**2 + 24*a - 5. Let n be q(-20). Suppose 5*g - 1130 = -5*f, -604 = -4*f + g + n. What is the tens digit of f? 2 Let y(s) = -132*s**2 + 11*s + 23. Let c(r) = 44*r**2 - 4*r - 8. Let p(o) = -8*c(o) - 3*y(o). What is the units digit of p(3)? 8 Suppose -360592 = -40*a - 105392. What is the tens digit of a? 8 Let b(w) be the third derivative of w**6/180 + w**5/40 + 11*w**3/6 + 14*w**2. Let o(d) be the first derivative of b(d). What is the tens digit of o(4)? 4 Let q(p) = -p**2 + 23*p - 36. Let m be q(21). What is the units digit of (51/m)/(-17) + 789/2? 4 Let y(r) = 2*r**2 + 3*r - 7. Let c be y(5). Suppose 54*k - c*k + 488 = 0. What is the hundreds digit of k? 1 Let o(m) = 6*m - 51. Let n = 92 - 94. Let z be (0/1 - n)/((-1)/(-8)). What is the tens digit of o(z)? 4 Let z(p) = 490*p**2 + 2. Let u be z(1). Let s = 891 - u. What is the hundreds digit of s? 3 Suppose -s - a + 479 = -2909, -a = -4*s + 13577. What is the thousands digit of s? 3 Let i = -162 + 165. Suppose 2*n = 663 + 237. Suppose v = i*v - n. What is the hundreds digit of v? 2 Let y(g) = -2*g - 1. Let t(l) = l + 160. Let d(i) = t(i) + y(i). What is the units digit of d(0)? 9 Let p = 4872 - 1240. What is the thousands digit of p? 3 Suppose -26*z + 25*z = -431. Suppose 3*g = -2*h + 2423, -2818 = -4*g + h + z. What is the tens digit of g? 1 What is the ten thousands digit of (-2 - 12/(-5)) + (215372/5)/4? 1 Let c(k) = -31*k + 160. Let v be c(5). Suppose 19*q + 494 = 21*q - 5*y, v*y + 1265 = 5*q. What is the hundreds digit of q? 2 Suppose -4*g + 32 = 4*f, -2*g - f = 3*f - 8. Suppose g*j = 3349 + 1727. What is the hundreds digit of j? 4 Suppose 0 = -3*u - 22*m + 27*m + 11362, -4*m - 18954 = -5*u. What is the hundreds digit of u? 7 Suppose 25*m + 11*m = 12*m + 551232. What is the hundreds digit of m? 9 Let c = 227690 + -162543. What is the tens digit of c? 4 Let j be -2 + (-3 - -7) - 52/(-4). Suppose -176 - 145 = -3*a + g, -j = -5*g. Let b = 240 - a. What is the hundreds digit of b? 1 Let f(y) = -627*y + 3323. What is the ten thousands digit of f(-11)? 1 Let y(q) = -60*q**2 - 901*q - 3. Let n be y(-15). Let z(p) = 6*p**2 - 5*p + 3*p**3 - 4*p**3 + 7*p**2 - 11. What is the tens digit of z(n)? 7 Suppose w - 78 = f + 87, 0 = 4*w + 5*f - 687. Suppose 0 = -j + t + 110, 3*j + 0*t - 334 = 4*t. Let g = j + w. What is the units digit of g? 4 Let z = 6 - 15. Let c(v) = v**3 + 9*v**2 - 18*v - 21. What is the units digit of c(z)? 1 Let h = -88 - -348. Let d(q) = -q**2 - 18*q - 22. Let m be d(-16). Suppose 0 = m*g - 6*g - h. What is the units digit of g? 5 Let n be 1670/(-4) + 6/((-24)/(-2)). Let o = 200 - n. What is the units digit of o? 7 Suppose 54247*h - 54270*h = -477710. What is the thousands digit of h? 0 Let i(w) = 705*w**2 - 185*w - 1253. What is the units digit of i(-8)? 7 Suppose -6*u = -8*u + 18. Suppose -u*v + 42 = -6*v. Suppose 10*o + 376 = v*o. What is the units digit of o? 4 Let b(u) = u + 10. Let r(o) = -o + 8. Let s(j) = -j - 1. Let x(h) = r(h) - 2*s(h). Let c(v) = -2*b(v) + 3*x(v). What is the units digit of c(-8)? 2 What is the thousands digit of (1296/(-112))/(-27) + 494604/21? 3 Let s(l) = l**3 - l**2 + l - 3. Let c be s(2). Suppose 2*q + i = 281, c*q + 2*i - 7*i - 415 = 0. Let n = 213 - q. What is the tens digit of n? 7 Let r(a) = -403*a - 14. Let q(h) = -2*h**2 - 5*h + 21. Let z be q(-5). What is the units digit of r(z)? 8 Suppose 4*m - g = -4*g - 1152, -m - 287 = g. Let s = -160 - m. Let a = s - 39. What is the tens digit of a? 9 Let z = 14 - 11. Suppose 0 = -5*k + z*p + 93, 0 = -5*k - 3*p + 12 + 105. What is the tens digit of k? 2 Let a(l) = -l**2 - 19*l - 35. Let r be a(-9). Suppose -r = 2*i - 1923. What is the units digit of i? 4 Let b(r) = 267*r + 3917. What is the units digit of b(-9)? 4 Let j = 1685 - 305. Suppose -j = -2*o + 1202. What is the units digit of o? 1 Let h(b) = 38*b + b**2 - 155 - 12*b + 204. Let p be h(-24). What is the units digit of (-59)/(-2)*p*(-3 + 5)? 9 Suppose 0 = 4*p + 5*j - 60990, 5*p = -4*j + 56343 + 19890. What is the tens digit of p? 4 Let w(t) be the first derivative of -2*t**3/3 + 31*t**2/2 + 28*t - 58. What is the units digit of w(16)? 2 Suppose u = -5*y + 320 + 6975, 3*y - 4384 = -2*u. Let i = -922 + y. What is the units digit of i? 6 Let z = -4003 + 11522. What is the hundreds digit of z? 5 Suppose -1811 = 3*i - 2*t - 296, -3*i - t = 1524. Let c = i - -869. What is the units digit of c? 2 Let t = -26468 - -46950. What is the thousands digit of t? 0 Suppose -2*a + 3*b + 14628 = 0, -1 - 9 = -5*b. What is the tens digit of a? 1 Let h(s) = 31*s - 28. Let o be h(6). Suppose -216 - o = -m. What is the units digit of m? 4 Let q = -388 + 416. What is the hundreds digit of (-189)/((-15)/q - (-16)/56)? 7 Let s(g) be the second derivative of g**6/9 - g**5/60 + g**4/24 - 8*g**3/3 + 3*g. Let k(w) be the second derivative of s(w). What is the units digit of k(1)? 9 Suppose 5*c - 10 = -0. Suppose 0 = 2*x + c*y - 1272, 0*x = -2*x - y + 1274. Suppose -4*d + 0*d - j + x = 0, j + 475 = 3*d. What is the units digit of d? 9 Let c(l) = -155*l - 81. Suppose 6*s + 39 - 15 = 0. What is the units digit of c(s)? 9 Let m = -30 + 32. Suppose 4*d = 4*o, 0*d + 5*o = d + 8. Suppose d*j = -p + 70, 0*j - 35 = -j + m*p. What is the tens digit of j? 3 Suppose -12*u - 6*u + 1764 = 0. Let t = 1867 + u. What is the hundreds digit of t? 9 Let s(p) = -724*p + 3. What is the hundreds digit of s(-3)? 1 Let i(c) = 4*c - 94. Let s be i(32). Suppose 33*y = s*y - 570. What is the hundreds digit of y? 5 Let c(a) = 8*a**2 + 35*a - 26. Let d be (-31 + 30)/((-1)/10). What is the hundreds digit of c(d)? 1 Let h = -416 - -418. Let p be (-1 - (-27)/15)*5. What is t
{ "pile_set_name": "DM Mathematics" }
21 Solve -5*d + 30 = -p, -9*d - 13*d + 70 = -p - 2*d - 7*d for p. -5 Solve 5*w = -2*i + 72, 3*w = -226*i + 225*i + 43 for w. 14 Solve 5*o + 77 = 5*g + 7, -16*o + 7*o - 4*g = -8*o + 19 for o. -15 Solve 0*m = 3*m + 4*n + 5 + 15, -251*n + 257*n = 3*m - 60 for m. 4 Solve 5*c - 7*c + 4*c - 5*j + 39 = 0, 261*c - 3*j + 6*j - 2*j = -515 for c. -2 Solve -641*b = -637*b + q + 10, -5*b - 17*q - 44 = 0 for b. -2 Solve -30*y - 123 = -3*d, 3*y - 10900*d + 51 = -10904*d for y. -5 Solve 3*m - 52085 = -h + 52078 - 104153, -2 = 2*m + 5*h for m. 4 Solve -2*m = 2*t - 16, 2*m - 32*t = -35*t - 28 + 45 for m. 7 Solve 19*b - 206 = -c, -3*b - 13*c + 84 = -80 + 170 for b. 11 Solve -4*b - f = 7, b - 1516*f + 1515*f - 7 = 0 for b. 0 Solve -9*y + 8 = -56*y + 56*y - v, 4*y + v = 31 for y. 3 Solve -8*a - 1573398 = -8*d - 1573262, d + 5*a + 79 = 0 for d. 1 Solve 62071*a = 19*d + 62073*a - 165, 2*d - 33 = 5*a for d. 9 Solve -3*p + 15 = 3*i - 6, -592*p + i + 33 = -585*p for p. 5 Solve -3*g = 6*x - 150, 25*g - 29*g - 3*x = -85 for g. 4 Solve 2*s = 5*l - 3, 3698*l = 11*s + 3694*l - 7 for s. 1 Solve 7*b - 4*b - 3*s = -60, -b = 24*s - 21*s - 56 for b. -1 Solve -o + 6*m = 2*m + 3, 64*m = -64*m + 132*m - 8 for o. 5 Solve 3*b + 14*w - 15*w = 0, -3*b = -3*w - 1130 + 1118 for b. -2 Solve -12*n = t - 2212 + 2198, 5 = 5*n for t. 2 Solve 3*d - 5*a = 23, -4*d - 264*a = -533*a + 261*a - 40 for d. -4 Solve -4*k + 5*r - 40 = 0, -3*k + 6*k - 2*k - r + 11 = 0 for k. -15 Solve 45 = -5*s + 2*j, 3056755*s - 3056761*s = -j + 54 for s. -9 Solve 0*g - 92 = -8*s - s + g, -10*s + 9*s - 32 = -4*s + g for s. 10 Solve -1187*q - 14 = m - 1190*q, 0*m - 6*q = -m - 29 for m. 1 Solve -23*o = -q + 65, -3453 = 5*o + 2*q - 3379 for o. -4 Solve t - 23*w - 295 = 0, 5*t + 5*w - w + 56 = 4*t for t. -4 Solve -2*f - 28 = 4*z, 0 = -4*z + 5*f + 2*f - 4*f - 28 for z. -7 Solve 8*i - 4 = 4*i - 4*p, -316 = -5*p - 301 for i. -2 Solve -76*f - 74*f + 66 = 2*u - 154*f, 33*u - 837 = 3*f for u. 25 Solve -3*l - 652 = -6*l - 9*x - 664, 4*x + 4 = -2*l for l. 2 Solve 4*p + 33*y - 21*y = -36, 0 = -4*p + 5*p + 5*y + 5 for p. -15 Solve r + 133 + 189 = 3*f + 299, 3*f + 5*r = -97 for f. 1 Solve -4*o + 29*p = 1044, 3*o - 145 = -7*p + 2*p + 35 for o. 0 Solve -4*l - 92 = 0, 93*l - 501 = b + 115*l for b. 5 Solve 2526*v + 5*i = 2521*v + 58 + 52, -5*i + 110 = -4*v for v. 0 Solve 5*l + 2076 = 5*k + 2056, k - 33*l - 260 = 0 for k. -4 Solve 11*b - 10 = -2*y + 3*y + 10*b, -3*y - 295*b + 296*b = 8 for y. 1 Solve 4*k + 50*v + 57 = -67*v, -1 = 2*k + 2*v - 29 for k. 15 Solve 35*d - 30*d - 43 = -3*n, 5*n + 24*d - 4*d - 85 = 15*d for n. 21 Solve 2*f = -13606*i + 13610*i - 58, -40*f - 740 = 4*i for i. 5 Solve -7476*x + 5*v = -7477*x - 75, -3*x + 2*x - 73 = 3*v for x. -70 Solve 3*i + 113 = -2*n - 33 - 52, 2*n = -16*i + 21*i - 198 for i. 0 Solve -5*f = -18*l + 19*l + 49 + 11, -3*l - 2*f - 24 = 0 for l. 0 Solve 1789*q + 19*b + 181 = 1791*q, -3*b = 27 for q. 5 Solve -15 = -2*c - w, -c - 870*w + 32 = -866*w for c. 4 Solve 2*c = -3*f + 34, 6*f - 89*c + 178*c - 88*c - 35 = 0 for f. 4 Solve 18*c + 192 = 7*v + 14*c, 397 - 504 = -4*v + 5*c for v. 28 Solve s + 60 = -s + 4*u, 4 = 20*s + 7*u - 7 for s. -4 Solve 22*a - 3*p = -2*a + 30, -3*a + 72 = -3*p for a. -2 Solve -3*j + 12*j + 3*o = 3*o + o + 40, -14*j = 4*o + 266 - 256 for j. 3 Solve -5*b + 34157 = 8*x + 34174, -3*x - b - 9 = 0 for x. -4 Solve -4*c - 28 = 309*p - 305*p, 1 = 10*p + 1 for c. -7 Solve -13271809*v = -13271814*v - q - 26, 4*v + 166 = -14*q for v. -3 Solve 1175*q - 1172*q = 4*r - 30 - 20, -10*q - 5*r = 75 for q. -10 Solve 5*h = 67458*s - 67461*s + 24, 3*s = -3*h + 18 for s. 3 Solve -6*y - 4575*x = -4579*x + 56, 2*x = 2*y + 24 for y. -4 Solve 5*n - 2*j = -18, -25*j + 72*j = 4*n + 25*j + 21*j + 12 for n. -2 Solve 184 - 152 = -2*t - 3*z + 102, -9*z + 94 = 2*t for t. 29 Solve -4*z - z + 14*p = -15*p + 28*p - 101, -7 = -9*p + 29 for z. 21 Solve 4*d + 30 + 65 = y + 42, -5*y = -2*d - 319 for y. 65 Solve b + 4*j + 17 = 0, 0 = -3*b - 3*j - 9705 + 9690 for b. -1 Solve 69*n + 22 + 157 = -j - 82, -3*j + n = -49 for j. 15 Solve 0 = -5*w - 601158*s + 601157*s + 96, 3*w + 5*s - 62 = 0 for w. 19 Solve -4*b = 2*o + 82, 2*o - 407706 = 3*b - 407753 for o. -31 Solve -2*d - 2212*t = -1113*t - 1103*t - 32, -31*d - 44 = -8*t for d. -4 Solve 3*v = f + 41, -2873*v - 42*f - 1210 = -2871*v for v. 4 Solve -w = 5*l - 41, 4*l = -5*w + 354042 - 354005 for w. 1 Solve -745427*a = -6*q - 745425*a + 40, 0 = -5*q + 2*a + 35 for q. 5 Solve 2*r - 57 = -0*o + 3*o, -4*o - 7 = 5*o - 2*o for r. 27 Solve 11 - 20 = -k - 0*k - 2*f + 2, 5*k + 2*f = 47 for k. 9 Solve 1026*i - 1022*i = -2*j - 8, 2*i - 4*j = -14 for i. -3 Solve 3*l = -10*m + 8*l + 500, -l - 122 = -0*m + 5*m - 365 for m. 49 Solve 302*l - 8*s + 12 = 154*l + 150*l, 0 = -5*l - 5*s + 15 for l. 2 Solve -5*k - 9*q = -3*q - 67, 10 + 25 = -6*k - 5*k + 2*q for k. -1 Solve 3*s + 13 = -2*t + 17, -3*t = -2*t + 33*s - 2 for t. 2 Solve 32534*a - 100 = 32537*a - p, -5*a - 155 = 10*p for a. -33 Solve -2*m = 8*a + 71 + 7, 3*m = -5*a + 8*m - 55 for a. -10 Solve -t = -10*x + 118 - 54 + 52, 2*t + 5*x = -132 for t. -76 Solve -5*j = -96*s + 3001, -78 = -3*s - 66495*j + 66492*j for s. 31 Solve -2*k + 2*w + 3*w - 36 = 0, 174 - 186 = k - 4*w for k. -28 Solve 478647*i - 478651*i - 5*j + 20 = 0, -47*j = 4*i - 20 for i. 5 Solve 16*o - 15 = 4*b + 8*o + 12*o + 9, -6*b = 8*o + 52 for b. 2 Solve 31053*p - 31056*p + 127 - 46 = 0, 4*b + 73 = 2*b + 3*p for b. 4 Solve 5*r = 7067*n - 7069*n - 54, -3*n = 5*r + 56 for r. -10 Solve 2*d = 2*f - 0*d - 72, 2*d - 183 + 114 = -45*f for f. 3 Solve 128*q - 132*q = -3*g + 24, -24*q - 144 = 4*g - 3*g for g. 0 Solve -3*v = 294*n - 296*n - 57, -n - 5*v = -4*v + 16 for n. -21 Solve -118*r - 2*t + 3226 = -52*r, t + 53 = r for r. 49 Solve 2*g = f + 3*g - 15 - 28 - 14, 0 = -145*f - g + 8553 for f. 59 Solve 4*c - r - 22 = 0, -45*r + 153*r - 43*r - 66*r = 14 for c. 2 Solve -7*n + 14 = -v - 25, -2*v - 2 = 5*n for n. 4 Solve -10*l + 4*t = -16*l + 7*l - 13, -62 = -5*l + 4*t + 83 for l. 33 Solve -701*h - 38 = 16*v - 704*h + 1, -2*v - 3*h - 21 = 2*v for v. -3 Solve -18*a - 4*s + 466 = -5*s, -3*a - 5*s = -a - 62 for a. 26 Solve -4*w - 1802996 = -5*l - 1802975, l + 3*w = -11 for l. 1 Solve -5*k + i - 9 = 0, -52*k - 56*k + 3*i = -104*k + 16 for k. -1 Solve 6*n = 2*n + 3*y + 7, n + 173*y + 247*y + 3104 = 4*n - 202*y for n. -2 Solve -4*l = 9*b + 23, 14508 = -4*l + 14476 for b. 1 Solve 48 = 4*c + 24*a - 20*a, -4*c - a + 57 = 0 for c. 15 Solve 3*h - 10 = -2*s, 7*s + h = 3955 - 3958 for s. -1 Solve -z + 4*s = -5, -297*z + 121 = -289*z - 5*s for z. 17 Solve 0 = 3*q + 3 - 48, 2*b + 2*q = -b + 24 + 18 for b. 4 Solve -10*n = -4*b + 156, -2*n + 27*b - 46*b = -24*b + 27 for n. -16 Solve -g + 38 = -v, -v - 884*g + 878*g = -235 for v. 1 Solve 5*x + 47 = -8*v, -31*x + 3*v - 58 = -26*x for x. -11 Solve -685 = -4*t - 665, -3*t + 20 = r for r. 5 Solve -5*q + 3470 - 3202 = 16*u, -3*u = q - 50 for u. 18 Solve -4*u - 86 = 2*h, 5*h - 10043*u + 10047*u = -215 for h. -43 Solve 28 = -z - 15*m, 0 = -2*z - 0*z - m + 66 - 64 for z. 2 Solve -4*w = -3*l, 0*l + 98220*w = -4*l + 98236*w - 32 for l. 4 Solve 0 = 5*k + 2*j + 8, 24144*k + 4 + 4 = 24138*k - 4*j for k. -2 Solve -3*m - 181*o + 185*o + 80 = 0, -3*m + o = -29 for m. 4 Solve -4*d = 5*z + 220, 5*z - 107 = -12*d + 11*d - 312 for z. -40 Solve -f - 7*x - 39 = 20 + 29 - 27, 2*f + 7*x = -66 for f. -5 Solve 189 = -4*o + 3*v, 6268*o - 2*v - 194 = 6272*o for o. -48 Solve 2*j + 6 = 2*t, -2*j - 69*t + 0 = -70*t + 8 for j. -5 Solve 0 = -9*s - 5*g + 22, 5*g - 13418 + 13429 = 2*s for s. 3 Solve -27*g + 61 = -31*g + 3*q, 0*g + 8*g - 6*g - 12*q = -272 for g. 2 Solve -321*y + 319*y + 7*w - 22 = 0, 0 = 2*y - 2*w + 12 for y. -4 Solve 2*u = 4*a - 4*u - 164, 301 + 228 = 5*a - 4*u + 415 for a. 2 Solve -3*a - 1 = -4*y, 123*y + 5*a - 98 = 30*y for y. 1 Solve m = 111*u - 114*u - m - 12, -8*u - 4 = 3*m for u. 4 Solve o - 28 = -4*f, 5741*f = 4*o + 5744*f - 34 for o. 4 Solve -813*q - 3*g = -817*q - 13, -17*g - 99 = 2*q for q. -7 Solve -18 = -251*x + 247*x + 2*c, 4*x - 6*x - 5*c = 21 for x. 2 Solve 2770*y - 2772*y + 4*j = 14, -4*y - 4*j - 28 = 0 for y. -7 Solve 0 = 9*j + 2*g + 306, -j - 14260 = -5*g - 14226 for j. -34 Solve 203290 - 203352 = -2*h + 4*p, -3*h = -19*p - 119 for h. 27 Solve -s - 4*f
{ "pile_set_name": "DM Mathematics" }
r? True Let l = 1512 + -1066. Is l prime? False Let c = -85 - -144. Is c composite? False Suppose 2*o - 36 = -314. Let q = o + 350. Is q a prime number? True Let d = 39 - -12. Is d composite? True Let w(k) = 26*k + 10. Let g be w(8). Let p = g + -121. Is p a composite number? False Suppose -3*k + 2*k + 2*c + 4 = 0, -c + 16 = 4*k. Let m be (158/k)/((-5)/(-20)). Is m/2 - (-1 - -1) a prime number? True Let w = 110 + 77. Suppose -720 = -4*r + 4*n, -r - 9 = -2*n - w. Suppose -2*c + r = -0*c. Is c a composite number? True Is 24 - (5 + (-6 + 3)*1) a prime number? False Let h(n) = n**3 + 9*n**2 + 2*n - 2. Let x(y) = -y**2 + 7*y + 11. Let j be x(9). Is h(j) prime? False Is (-2)/(-2) + (-740)/(-2) prime? False Let p be (-1)/((-519)/516 + 1). Is p/3 - 4/(-6) prime? False Let t = -1 - -3. Let g be ((-1)/(-1) - t) + 1. Suppose -3*b + 0*b + 69 = g. Is b a prime number? True Suppose -4*a - 2*i + 12 = 0, -2 + 0 = -5*a + 4*i. Suppose -27 = -a*w + 103. Is w composite? True Let g(t) = 2*t**2 + 14*t - 7. Is g(-10) a composite number? False Suppose o = -5*i + 407, 5*i = o + 2*o - 1281. Is o prime? False Suppose -2*t - 22 = -4. Let w(l) = 32*l + 1. Let s be w(-1). Let k = t - s. Is k a composite number? True Let f = 872 - -381. Is f a prime number? False Suppose l + 3*l + 2*g - 4 = 0, -8 = -2*g. Is (77 + l + 1)*1 prime? False Let s = 139 - 64. Let j = s - 54. Let o = 44 + j. Is o a composite number? True Let p be (-54)/15 + (-4)/10. Let l = p - -26. Is l prime? False Suppose -4*d = -5*b - 15, 0*b - 4*b = 5*d - 70. Suppose d*i = 5*i + 125. Is i composite? True Suppose 5*n - 2573 = 4*k - 592, 0 = 4*n - k - 1576. Is n a composite number? True Let c be (8*-1)/(-4 - -2). Suppose -c*i + 3*d = -306, -6*d + 242 = 3*i - 2*d. Suppose -m - m = -i. Is m a prime number? False Let w(h) = -h**2 - 4*h - 3. Let j be w(8). Let s = 302 + j. Is s composite? True Let f be -1 + (0 - 2) + -15. Let o be (-34 + 1)*12/f. Is (-84)/(-8)*o/3 a composite number? True Let s(w) = 3*w**2 - 4*w + 4. Let z(m) = -m + 10. Let y be z(7). Is s(y) prime? True Let l be 1 + 2 + (0 - 0). Let y be (-24543)/45 - l/5. Is ((-2)/(-6))/((-2)/y) a prime number? False Let t = -1 + 3. Suppose 2*h - 838 = 4*x, 4*x = -t*h - 0*h + 838. Is h a prime number? True Let x = -4 - -9. Suppose -944 = x*a - 3*v, -37 + 239 = -a + 5*v. Let o = a + 278. Is o a prime number? False Suppose -75 = -s - 2*s. Is -2*(1 + s/(-2)) prime? True Let a(d) = 4*d**2 - 1. Let n(t) = t - 4. Let s be n(6). Let c be a(s). Is 522/c - 2/(-10) a composite number? True Let h = -42 - -29. Let z be (-111)/(-39) - 2/h. Suppose z*q + 1 = 13, 5*x - 201 = -4*q. Is x a prime number? True Let d = 2 + 0. Suppose d*y + 2*y - 12 = 0. Is (-43)/(-3) + 2/y composite? True Suppose 2*i = i + 1. Suppose 5 = 4*w + i. Is w/(24/21 + -1) a prime number? True Suppose -3*q = -q + 10, 2*q = -u - 8. Suppose u*h + 4*s + s = -39, 2*h - 3*s + 79 = 0. Let k = 129 - h. Is k composite? True Let f = -14 + 19. Let t(z) = -z**3 - 2*z**2 - z - 2. Let r be t(-2). Suppose 2*p - 64 = 5*q, f*q - 10 = -r*q. Is p prime? True Suppose -c + 12 = -3*c. Is (-2)/c + (-474)/(-9) a composite number? False Let x(j) be the third derivative of 29*j**4/24 + 4*j**3/3 + 2*j**2. Let q(g) = 15*g + 4. Let n(h) = -7*q(h) + 4*x(h). Is n(3) a prime number? True Is (662/(-8))/(7/(-56)) composite? True Let v(b) be the first derivative of 3 - 1/3*b**3 + 37*b - 1/2*b**2 - 1/4*b**4. Is v(0) composite? False Suppose 3*g - 4155 = 5*a, -2*g = a - 3*a - 2770. Is g a composite number? True Let d = 247 - 156. Is d a composite number? True Let c = -1855 - -3648. Is c a composite number? True Let v(a) = -a**3 + 6*a**2 - 7*a + 3. Let u be v(5). Let n = u + 11. Suppose -2*o + 4*o - 5 = -s, 5*s + n*o = 43. Is s prime? True Let c = -527 - -792. Is c prime? False Let t(v) = 2*v - 5. Suppose -2*y - 2*y + 16 = 0. Is t(y) prime? True Let a(m) = m**3 - 5*m**2 - 8*m - 5. Let b = 0 + 7. Is a(b) a prime number? True Let j = 5692 + -2807. Is j composite? True Let j(o) = 4*o**3 - o**2 - 6*o + 5. Let r be j(6). Suppose 2*f = -5*t - r, -f + 6 = 2. Let q = -84 - t. Is q a prime number? False Let q(a) = 7*a**2 + a - 14. Let b(x) = -3*x**2 - x + 7. Let s(o) = -5*b(o) - 2*q(o). Is s(-6) composite? False Suppose 5*f - 176 = 169. Is 1*1/(1/f) composite? True Let r(i) be the second derivative of -2*i**3/3 + 3*i**2/2 + 3*i. Let l be r(-3). Suppose f = 4*d - 155, 5*f = -0*f - l. Is d a prime number? False Let s(m) = -m**3 - 3*m**2 + 3*m - 4. Let z(w) = -w**2. Let r be z(-2). Let d be s(r). Suppose d*b = b - 23. Is b a prime number? True Let l(k) = -3*k + 1. Is l(-12) a composite number? False Suppose 0 = 4*m + m - 845. Suppose 2*y - m = -51. Is y a composite number? False Suppose 0*w + 2*n - 12 = -4*w, -15 = -5*w - n. Is w/6*22*11 composite? True Let h be (-1 + 1)*3/6. Let l be (-129)/(-27) - 2/(-9). Suppose -l*f - m + 445 = h, -2*f + 5*f = m + 267. Is f composite? False Suppose y = -a + 29, 3*y = 4*a + 53 + 48. Is y a composite number? False Let g(m) = 47*m**2 + 3*m - 2. Let b be g(2). Suppose n + 757 = 3*r, 3*r - b = -2*n + 553. Is r a prime number? True Let x(p) be the second derivative of -p**6/720 + 7*p**5/60 - p**4/6 + 3*p. Let n(y) be the third derivative of x(y). Is n(0) prime? False Let i(s) = 2*s**2 + 2*s - 3. Let b be i(-3). Suppose t + b = -f + 83, 3*t - 216 = -f. Let a = t + -22. Is a prime? False Suppose 2*g - 38 = -10. Let a = 127 - g. Is a a composite number? False Suppose -5*c = -4*z + 1, -3*c + 2*z = -6*c + 17. Let s be 0 - (2 - 214*1). Suppose r = -c*r + s. Is r composite? False Let q = 5 - -6. Suppose 0 = -3*g + 122 - q. Is g prime? True Suppose 2*j - 852 = -14. Is j prime? True Let g(c) = c**2 + 5*c - 4. Let f be g(-6). Suppose -348 + 22 = -f*j. Is j prime? True Let h = -123 + 263. Is h/(-16)*4/(-1) composite? True Suppose -5*s + 198 = s. Is s a prime number? False Let s = 125 - 79. Is s composite? True Let z be (-181)/(-4) + (-3)/(-4). Suppose 3*u = 5*u - z. Is u a composite number? False Let v be -1 + 2 + -1 + 0. Suppose v = -2*y + 254 + 8. Is y a prime number? True Let d = 1 + 22. Let q be (-2)/4*(5 - 13). Suppose u = d - q. Is u prime? True Let h(i) = -i**2 - 7*i + 7. Let g be h(-6). Suppose g*a - 17*a = -1588. Is a a prime number? True Let z(g) = g**3 + 17*g**2 + 14*g - 7. Is z(-15) a composite number? False Let d(c) = c - 5 + 19 + 15*c**2 + 3 + c**3. Is d(-12) a prime number? False Let t be 2/(-10) + (-22)/(-10). Let z(y) = 2*y + 3 + 6*y - t*y. Is z(3) prime? False Is (3/9)/((-1)/(-45)) a composite number? True Let z = 181 + 166. Is z a prime number? True Suppose 5*k + 2*w - 17 = 0, -2*w + 7 + 1 = 2*k. Suppose -2*o + k*z + 62 = 0, 24 = o + z - 7. Is o prime? True Let g(c) = -c**3 - 10*c**2 - 8*c + 5. Is g(-10) composite? True Suppose 2*g - 328 = o, -10 = g - 5*o - 165. Suppose 0 = 4*y + y - g. Is y prime? False Suppose 304 = i - w, 0 = -i + 6*i - 3*w - 1526. Is i composite? False Is (-6003)/(-27) - 2/(-3) a prime number? True Suppose 2*a = 3*a - 12. Suppose a = 2*r + 2*u - 2, u + 2 = 2*r. Is (-333)/(-6) + r/(-6) a prime number? False Let b(z) = -11*z + 13. Is b(-11) composite? True Let v(j) be the third derivative of j**5/15 + 11*j**4/24 + 5*j**3/6 + 2*j**2. Let c be v(-7). Suppose 7*p = 3*p + c. Is p a composite number? False Let v = -4 + 51. Is v prime? True Let m(o) = o. Let i(b) = -2*b - 1. Suppose 5*l = 2*g + 28, 3*g - 5*l + 32 = -0*g. Let y(t) = g*i(t) - 10*m(t). Is y(-5) a composite number? True Suppose -1673 = 2*q - 3*q. Is q a prime number? False Let v(y) be the first derivative of -y**4/4 - 8*y**3/3 + 3*y**2 + 11*y + 2. Let i be v(-9). Suppose -4*q + i + 54 = 0. Is q composite? False Let h be -2 - (-2)/2 - -307. Suppose -4*p + h = -p. Suppose -5*r + p = -163. Is r composite? False Suppose -w - k + 1159 = 0, 4*w - 595 = 4*k + 4073. Is w a prime number? True Let x = 120 - -67. Is x a composite number? True Suppose -3*c - 60 = -7*c. Let x be (1/1 + -3)/(-1). Suppose r - x*r = -3*w - c, 2*w = 3*r - 17. Is r a composite number? False Let z(d) = 19*d + 48. Is z(11) a composite number? False Let h(g) = g + 37. Suppose -5*w + 9 + 3 = 4*y, -5*w = -y + 3. Is h(w) a composite number? False Suppose -7*w + 17704 = w. Is w composite? False Let b(t) = -t - 3. Let a be b(-3). Suppose -3*k = p - 4*p - 231, k + 2*p - 83 = a. I
{ "pile_set_name": "DM Mathematics" }
by 5. 3 Let r(s) = -s**3 + 12*s**2 - 12*s - 2. Let a be r(11). Let o = a + 15. What is the remainder when 6 is divided by o? 0 Let z be (1 + 3/(-2))*-12. Suppose -2*t + 4*g + 18 = 0, -2*t - g + z*g + 17 = 0. Let f = 28 - t. Calculate the remainder when f is divided by 6. 5 Suppose -4*g + 28 = -c, 3*g - c = -0*c + 21. Suppose 3*j - 3*o - 3 = 0, -j - 3*j = 2*o - 10. What is the remainder when g is divided by j? 1 Let l(h) = -h**2 - 9*h + 4. Let d be l(-11). Calculate the remainder when 10 is divided by d*((-20)/12)/5. 4 Let l = 12 - 17. Suppose -5*w + 4*y + 4 + 20 = 0, 0 = 3*y + 3. What is the remainder when w is divided by (-15)/6*6/l? 1 Suppose 2*k + 235 = 3*b, -4*k - 14 = 6. Calculate the remainder when b is divided by 13. 10 Let z(y) = -5*y + 3 - 2*y**2 - 3*y**2 - 6*y**3 + y**3 + 4*y**3. What is the remainder when 18 is divided by z(-4)? 4 Suppose -4 + 7 = m. Suppose 5*f + 179 = -5*l + 614, -268 = -m*f + 4*l. Calculate the remainder when f is divided by 30. 28 Let t be 2 + (-93)/6*-2. Suppose -3*x - w = -39, 0*x = 3*x - w - t. What is the remainder when (2/4)/(1/68) is divided by x? 10 Suppose -2*b - b + 39 = -3*a, -16 = -4*a. Let c = 133 - 67. Calculate the remainder when c is divided by b. 15 Suppose 4*g = 49 - 193. Let x = 10 - g. Calculate the remainder when x is divided by 12. 10 Suppose -7*d + 9 = -4*d. Let m(u) = -u**3 + 4*u**2 - 2*u - 3. Let j be m(3). Let y = 5 + j. Calculate the remainder when y is divided by d. 2 Let m = -55 - -78. What is the remainder when m is divided by 13? 10 Suppose 4*c - 2*c - 8 = 0. Suppose -c*m = -0*m - 84. Calculate the remainder when m is divided by 6. 3 Suppose 3*w = f - 15, -3*f - f = -3*w - 24. Calculate the remainder when (110/15)/(-5*(-6)/45) is divided by f. 2 Let p be 1/((-2)/(-52)) - 3. Let q = 46 - p. What is the remainder when q is divided by 12? 11 Calculate the remainder when (-70)/(-5) - (1 + 2) is divided by 7. 4 Let f be (-16)/(-7) + (-2)/7. What is the remainder when ((-30)/20)/(f/(-16)) is divided by (-1)/2 + 15/2? 5 Suppose 3 = -y + 1. Let a(o) = -7*o. Let f be a(y). What is the remainder when 53 is divided by ((-24)/f)/(8/(-84))? 17 Suppose -5*d + 18 + 1 = -3*a, 7 = a + d. Suppose 2*i + a - 9 = -5*n, 0 = 4*i - 4*n - 84. What is the remainder when i is divided by 9? 7 Let v = 27 + 11. Suppose 3 = -2*w + 7. Suppose -n = n + 4*c - 14, 2*n = w*c + v. Calculate the remainder when 28 is divided by n. 13 Let p = 16 - 5. Let c = 15 - -4. What is the remainder when c is divided by p? 8 Let m = -2 + -3. Let u(q) = -5*q**2 - 6 - q + q - q**3 - 4*q. What is the remainder when u(m) is divided by 5? 4 Suppose -19 = -4*i - y, -y = -2*i + 2*y + 13. Suppose -m - 3 = -5*r - 9, -i*r - 4*m = 26. Let h = r + 18. What is the remainder when h is divided by 6? 4 Suppose 3*m + 0*m - 213 = 0. What is the remainder when m is divided by 24? 23 Let h be (-4)/8 - (-122)/4. Suppose -7*m = -2*m - h. Calculate the remainder when 21 is divided by m. 3 Suppose -u + 33 = v - 5*v, 0 = u + 3*v - 47. Suppose -u - 9 = -2*q. What is the remainder when q is divided by 7? 4 Let c = -4 - -4. What is the remainder when 1/((-3)/(-177) + c) is divided by 15? 14 Suppose o + 2 = 0, 4*d + 4*o - 52 = 12. Suppose f + 23 = -5*l + 129, 4*f - l = 424. Suppose -5*g + 3*g + f = 0. What is the remainder when g is divided by d? 17 Let z(t) = 5*t**2 + 9*t + 1. What is the remainder when z(-5) is divided by 14? 11 Let q(h) = h**3 - 18*h**2 - 39*h + 12. What is the remainder when 111 is divided by q(20)? 15 Suppose 0 = 2*a - 0*a - 4*c - 172, 5*a - 370 = -2*c. Suppose -4*k - 4*b + a = -0*k, -5*b + 25 = 0. Let w = 45 - 4. What is the remainder when w is divided by k? 13 Let i(g) = 13*g**2 - 3*g + 1. Let r be i(2). Let d = r + -16. What is the remainder when d is divided by 16? 15 Suppose 35 = 5*s - 135. What is the remainder when s is divided by 18? 16 Let u(k) = -k**3 + 4*k**2 + 7*k + 1. Let n(f) = -f**3 - 30*f**2 + 135*f - 3. What is the remainder when n(-34) is divided by u(5)? 9 Let x be -31*(-2)/(-4)*2. Let w = 4 - x. What is the remainder when w is divided by 12? 11 Let v(j) = j**3 + 9*j**2 - 6*j - 13. Let l be v(-9). Let p = l - 24. Suppose 233 = 3*y + 83. Calculate the remainder when y is divided by p. 16 Let y(g) = g**2 + 5*g - 3. Let z be y(-6). Let c be (2 - z)/((-1)/3). Let j(p) = 3*p**3 - 2*p**2 + p - 1. What is the remainder when j(c) is divided by 22? 21 Let u(w) = w**2 - 14*w + 30. What is the remainder when u(12) is divided by 2/6 + (-22)/(-6)? 2 Suppose s + 2*j = 24, -j = -3*s - 5*j + 66. Calculate the remainder when s is divided by 6. 0 Let i(s) = -6*s - 1. Let n be i(-1). Suppose n*r - 14 = 16. What is the remainder when 23 is divided by r? 5 Suppose 4 = 4*j + 2*g, j - 4*g + 3 - 13 = 0. What is the remainder when -1*10*(-1)/j is divided by 4? 1 Suppose -14 = -4*c - 2*x, 3*x = -3*c + 5*x. Let u be 88/12 + c/3. What is the remainder when (81/12)/(3/u) is divided by 10? 8 Let v(n) = -n + 24*n**2 + 2 - 14*n**2 - 9*n**2 - 2*n. Let g be 4*(-1 - -2)/1. What is the remainder when 10 is divided by v(g)? 4 Suppose 6 = p + 3*a - 2*a, -a - 39 = -4*p. What is the remainder when 15 is divided by p? 6 What is the remainder when 157 is divided by 390/10 - (0 + -2 + 1)? 37 Suppose -2*q - 6 + 0 = 0, -4*h - q + 997 = 0. Suppose 3*b = -2*b + h. Calculate the remainder when 2/(-2) + b + 0 is divided by 13. 10 Let m(a) = -a**3 + 8*a**2 - 13*a + 4. Calculate the remainder when 151 is divided by m(5). 11 Suppose a - 29 = -h - 2*a, 5*h - 4*a = 145. Let l = -14 - -20. What is the remainder when h is divided by (-201)/(-21) + l/14? 9 Suppose 2*d - 14 = 16. Suppose 5*y - 5*g = 25, -6*y = -y - 3*g - 23. Suppose 2*n = 16 - y. Calculate the remainder when d is divided by n. 3 Let k(g) = 4*g + 1. Let s = 6 - 3. Let q = 23 + 13. What is the remainder when q is divided by k(s)? 10 Let t(l) = -l**3 - 7*l**2 + 7*l + 3. What is the remainder when 64 is divided by t(-8)? 9 Suppose 3*t - 5 = 4. Let v(p) = 5*p**2 - 4*p + 4. What is the remainder when v(t) is divided by 13? 11 Suppose 5*j = -2*y + 25, 5*y = 2*j - 4*j + 115. Calculate the remainder when y is divided by 8. 1 Let v = 3 - 1. Suppose v*z - 25 = z. What is the remainder when z is divided by 7? 4 Let y be (0 - 4) + 8 + 2. Suppose -32 = -y*l + 262. Calculate the remainder when l is divided by 17. 15 Suppose 0 = r - 0 + 1. Let a(q) = 85*q**2 + 2*q + 1. What is the remainder when a(r) is divided by 17? 16 Let c = -52 + 67. Calculate the remainder when c is divided by 5. 0 Let r be -3*(-1)/(-2)*-2. Suppose v + 58 = r*v. Suppose -3*i + 122 - v = 0. Calculate the remainder when i is divided by 11. 9 Suppose -2*d + 5*w + 28 = 0, -d + 5*w = 4 - 13. What is the remainder when 35 is divided by d? 16 Suppose 28 - 82 = -a. What is the remainder when a is divided by 14? 12 Suppose 2*r - 16 = -2. Suppose 4*i - 2*c - 64 = -0*c, 5*c - 38 = -i. Let w = -5 + i. Calculate the remainder when w is divided by r. 6 Suppose -9*r = -73 - 161. Let i = 5 + 9. What is the remainder when r is divided by i? 12 Suppose 0*g - 140 = -5*g. Let y = 44 - 29. What is the remainder when g is divided by y? 13 Suppose -z + 70 = 4*z. Let d = -28 + 17. Let j = 51 + d. Calculate the remainder when j is divided by z. 12 Let z(j) = 8*j. Suppose o - 15 = -6. What is the remainder when z(2) is divided by o? 7 Let u = 6 - 3. What is the remainder when (-1 - -27 - -2) + u is divided by 8? 7 What is the remainder when (-1)/3 - (-368)/6 is divided by (-1)/(-4) - 819/(-52)? 13 Suppose 0 = -2*h - 3*k + 35, h - 3*k + 5 = -0. What is the remainder when 19/((1/(-2))/((-1)/2)) is divided by h? 9 Let q(o) = -4*o + 2. What is the remainder when -1 - (-1 + -9) - 2 is divided by q(0)? 1 Let j = -7 - -40. Calculate the remainder when 129 is divided by j. 30 Let n be (-2)/(-6)*(-5 - 1). What is the remainder when 62 is divided by n + (-1 - -24) - 0? 20 Calculate the remainder when (20/(-14) + 0)*(-8 + -6) is divided by 11. 9 Let t = 27 + -10. What is the remainder when 96 is divided by t? 11 Suppose 2*a = v + 72, -5*a - 3*v + 193 = v. What is the remainder when 69 is divided by a? 32 Suppose -g + 50 = 5*h, -h + 2*g = -0*g + 1. What is the remainder when 32 is divided by h? 5 Let p(c) = 3*c + 19. Let n(l) = l + 9. Let j(z) = 5*n(z) - 2*p(z). Calculate the remainder
{ "pile_set_name": "DM Mathematics" }
50*m**3 - 50*m**3 + (-3*m**2 + 2*m**2 - m**2)*(3 - m - 3) - 83*m + 19*m**3 + 83*m - 2*m**3 + 2*m**3 + m**3 + 2*m + m**3 - 2*m. -20*m**3 Expand (c - 6*c + 3*c + (2 + 2 - 3)*(72*c - 62*c - 95*c) - 4*c + 0*c + 5*c)*(-1 + 4 - 4). 86*c Expand (-4 + 1 + 4)*(0*r**3 - r**3 + 0*r**3) + 0*r**3 - r**3 - r**3 + 14878*r**3 - 4789*r**2 + 4789*r**2 + 19188*r**3. 34063*r**3 Expand (-1873*d + 4530*d - 2316*d)*(d - 4*d + d) + (2 + 4*d - 2)*(d - 3*d + 4*d). -674*d**2 Expand (692225*v**2 - 346002*v**2 - 356931*v**2)*(-3*v**2 + 0*v**2 + 1 + 2*v**2). 10708*v**4 - 10708*v**2 Expand (r**2 - 3*r + 3*r)*(57*r**2 + 297*r - 517*r + 197*r). 57*r**4 - 23*r**3 Expand (3*m + m**3 - 3*m)*(0*m - 2*m + 0*m) + (-m**3 + 2*m**3 + 0*m**3)*(253 - 253 + 9*m) - m**4 + 0*m**4 - 7*m**4. -m**4 Expand ((3*j - 2*j - 3*j)*(-357 + 184 + 191) + 8*j - 3*j - 3*j + (3 + 2 - 4)*(0*j + j - 2*j) + 2 - j - 2 - 2*j + j + 2*j)*(-1 + 0 + 0). 35*j Expand (2*q**4 - 4 + 4)*((-6*q + 3*q + 2*q)*(1 + 3 + 2) + 4*q - 5*q - q) - 9*q**5 + 16*q**5 + 7*q**5 + (2*q + 0 + 0)*(31 - 31 - 15*q**4). -32*q**5 Expand (41*y - 34*y - 24*y)*(61 - 86 - 20 - 130). 2975*y Expand (-1 + 0 - 15*f**2 + 18*f**2)*(-84*f**2 + 159*f**2 - 85*f**2). -30*f**4 + 10*f**2 Expand (d - 2 - 112*d**2 - 291*d**2 + 54*d**2)*(-d**3 + 3*d**3 - d**3). -349*d**5 + d**4 - 2*d**3 Expand ((4*b + 0*b - 2*b)*(-2 + 3 - 2) - 5*b - 2*b + 4*b)*(1476*b + 2*b**3 + 0*b**3 - 1694*b - 4*b**4). 20*b**5 - 10*b**4 + 1090*b**2 Expand 0*p**4 - 2*p**4 + 0*p**4 + (1 - 1 - 4*p**2)*(-2*p**2 - p**2 + 2*p**2) - 57*p**4 + 14*p**4 + 6*p**4 + 2 - 2*p**4 - 2 + (-p - 2*p**2 + p)*(p**2 + 2 - 2). -39*p**4 Expand (-4*i + 3*i + 4*i)*(-80 + 12 - 14)*(2 + 0 + 1 + (-4 + 1 + 2)*(-2 + 2 - 2)). -1230*i Expand (3 - 3*t**4 - 3)*(41*t + 530*t + 178*t). -2247*t**5 Expand (4*y - 3*y - 2*y)*(0 + 4 - 5) + (8 + 4 - 23)*(10*y + 81 - 81) - 2 + 3*y + 2. -106*y Expand (-355 - 516 + 268)*(-d - 2*d + 5*d). -1206*d Expand (-2*v + v**4 + 2*v)*(-236 - 223 + 432). -27*v**4 Expand ((-w + w - 2*w)*(2 + 0 + 0) - 16*w - 1 + 1 + (4 + 0 - 3)*(2*w + 2 - 2)*(3 - 2 - 8))*(0*w - 2*w + 3*w). -34*w**2 Expand (4 - 5 + 3)*(0 + 2 - 3)*(265*l**2 - 82*l**2 - 2 - 101*l**2). -164*l**2 + 4 Expand (-52 + 213*k + 52)*(k - 2*k - k)*(3*k + 21*k + 2*k). -11076*k**3 Expand (-50*d - 11*d - 10*d - 36*d)*(1 + 5*d + d - 4*d). -214*d**2 - 107*d Expand (-4*u**2 + 3*u**2 + 2*u**2)*(u - 7*u + 2*u + 7*u + 2*u - 8*u + (2 + 2 - 2)*(3*u - u - 3*u)) + (4 - 2 - 1)*(3*u**2 + 0*u**2 - 5*u**2)*(4*u - 6*u + 0*u). -u**3 Expand (15*l**2 + 109*l - 109*l)*(-10 + 3*l**2 + 10) - 22*l + 22*l + 3*l**2 + 3*l**4. 48*l**4 + 3*l**2 Expand (3 + 2*g**3 - 3)*(-3*g - 5*g + 6*g) + (g**3 + g - g)*(666*g - 333*g + 374*g). 703*g**4 Expand (3*c**3 + 5*c**2 - 5*c**2)*(-53*c - 2*c - 27*c)*(6 + 2 - 11). 738*c**4 Expand (-13 + 4*o + 13)*(-14 + 21*o**2 - 6 + 18)*(-105 + 12*o + 105). 1008*o**4 - 96*o**2 Expand (-18290*q + 3 + 18261*q + 6)*(2 - 5 + 1)*(2 - 1 + 8). 522*q - 162 Expand (1 - 1 + 2*q)*(-2 + 3 + 1) + 600 + 691 - 9509*q - 1291. -9505*q Expand 47*n**3 + 33*n**3 - 16*n**3 + (-3*n**2 + 0*n**2 + 2*n**2)*(n + n - 4*n) - n**2 + n**2 - n**3 + 2*n**2. 65*n**3 + 2*n**2 Expand -163*v**4 - 338*v + 338*v + 0*v**4 - 2*v**4 + 0*v**4 + 6*v**4 - 4*v**4 - 3*v**4 + (-2 - v**3 + 2)*(0*v - 4*v + 6*v) + 2*v**4 - 3*v**3 + 3*v**3. -166*v**4 Expand 4*x - x - 2*x + (x + x - 3*x)*(7 - 75 - 29)*(-2 + 3 + 0). 98*x Expand -117 + 7*p + 117 + (-18*p - p - p)*(-3 - 3 + 5). 27*p Expand ((-3*r + 7*r - r)*(0 + 0 + 1) + 6*r + 0*r - 4*r + (-5 - 5 + 3)*(-247*r - 78*r - 77*r))*(-2 - r + 2). -2819*r**2 Expand (f + 0*f + 2*f)*(-2*f + 0*f + f) - f**2 + 10*f**2 + 3*f**2 - 5*f**2 + 3*f - 3*f - 4*f**2 - f**2 + 4*f**2 + (1 - 1 + 5*f**2)*(3 - 3 + 2). 13*f**2 Expand (11 + 6 + 1 - 2 + 1)*(-2*z + 5*z + 0*z). 51*z Expand (-3*f + 3*f - 5*f)*(1 - 5 + 0) + (2 - 2 + 2)*(13*f - 24*f + 3*f). 4*f Expand 1 - b**2 - 1 + (2*b**2 - b**2 + 0*b**2)*(0 - 4 + 1) - 15222*b + 15222*b - 25*b**2. -29*b**2 Expand (5*d**3 + 0*d**3 - 3*d**3)*(1 - 1 - d**2) + (14*d**4 - 4*d**4 - 8*d**4)*(-2 + 2 + 4*d). 6*d**5 Expand (-606 + 536 - 590)*(-t + 2*t + 0*t) + 4*t + 2*t + t - 3*t + 2 + t + t. -654*t + 2 Expand (-q**2 - 4*q**2 - 3*q**2)*(9*q**2 - q**2 - q**2)*(4 - 3*q - 4 - 2). 168*q**5 + 112*q**4 Expand -36*l**5 + 17*l**5 - 26*l**5 + (0*l + 0*l + 2*l)*(0*l**4 - 5*l**4 + 6*l**4) + 6*l**2 - 3*l**5 - 6*l**2 + (0 + 1 - 3)*(2*l - l**5 - 2*l). -44*l**5 Expand (-4*m + 5*m - 2*m)*(-4*m**2 + 0*m**2 + 6*m**2) - 205*m**3 + 101*m**3 + 0*m**3. -106*m**3 Expand ((-4 + 5 - 3)*(j - 4*j - 3*j) + 0 + 6 - 2*j - 5)*((6 - 3 - 2)*(0 + 4 - 3) + 2 + 12 + 0 + 1 + 1 - 3). 140*j + 14 Expand (-60*x**3 - 252*x**3 + 2621*x**2 - 2620*x**2)*(-5*x + x - 5 + 2*x + (0 - 2 + 0)*(x - x - 2*x)). -624*x**4 + 1562*x**3 - 5*x**2 Expand (4 - 12*p - 4)*(-3*p + 5*p - 4*p + (-3 + 3 - 2*p)*(-78 + 235 + 61)). 5256*p**2 Expand (10 + 3 + 3)*(o - 2*o**2 - o) + 2*o - 18*o**2 - 2*o + 68*o**2. 18*o**2 Expand (-2287 - 1726 - 945)*(-6*h + 2*h + 3*h). 4958*h Expand (0 + 0 + 2)*(-23*j**3 - 15*j**3 + 14*j**3)*(5*j - j + 5*j). -432*j**4 Expand (0 - 1 - 5)*(-63*m - 90*m - 3*m**3 + 157*m - 4). 18*m**3 - 24*m + 24 Expand (138132 - 138132 - 1224*t + (1 + 3 - 3)*(2*t + 2 - 2))*(1 - 5 + 5). -1222*t Expand (-89*k**4 - 28*k**4 + 13*k**4)*(5*k - 16 - 7*k - 3*k). 520*k**5 + 1664*k**4 Expand a**4 - 25 - 3*a**4 + 21 + (21*a - 4*a + 6*a)*(-a**3 - 4*a**3 + 3*a**3). -48*a**4 - 4 Expand (-2 + 5 + 1)*(3 - 3 + 2)*(351*j + 266*j**2 - 351*j) + 5 - 3 + j**2 - 3. 2129*j**2 - 1 Expand (c**2 - c**2 + 2*c**3 + 10*c - 10*c - 4*c**3 + (0*c - c**2 + 0*c)*(2*c - 1 + 1))*(-2 + 0 + 5)*(54*c**2 + 36*c**2 + 12*c**2). -1224*c**5 Expand (-2*l - 23 + 23)*(11701 - 11701 - 291*l) + (-l**2 - 4*l**2 + 3*l**2)*(0 + 2 + 0). 578*l**2 Expand (-2*d**3 - 2 + 2)*(-30928266*d - 5048 + 1053 + 30928270*d). -8*d**4 + 7990*d**3 Expand (38*n - 3*n**3 - 38*n)*(-2 + 6 - 1)*(-1 - 3 - 1) + 0 - 4 + 3 + 9*n**3. 54*n**3 - 1 Expand (2031*d + 2707*d + 4809*d + 1399*d + 3959*d - 203*d)*(2*d**2 - 4*d**2 - d**2). -44106*d**3 Expand (-2 - 5 + 2)*(-6 + 4 + 1)*(25 + 10 + 1)*((-1 - v + 1)*(0*v + 0*v + v) - 2 + 3*v**2 + 2 - v**2 + 5*v - 5*v). 180*v**2 Expand 9*x**2 - 6*x**2 - 216*x - 24 + 214*x + x**2 + 0*x**2 + 0*x**2 + (3*x - 4*x - x)*(-x + 0 + 0) - 3*x**2 + 0*x**2 + 5*x**2. 8*x**2 - 2*x - 24 Expand (-2973 + 1638 - 2228 - 3923)*(-s + s + 4*s). -29944*s Expand (-2*y + 3*y + y)*(30 - 30 + 12*y)*(-8*y - 20*y + 3*y). -600*y**3 Expand (-3 + 3 + 3*s)*(-3109 - 2272 - 4980 + 2 - 4 + 1 - 2 - 2 + 6 + (-3 - 2 + 3)*(-3 - 1 + 5)). -31086*s Expand (18 - 18 - 12*h**3)*(-167*h - 86*h - 68*h). 3852*h**4 Expand (-11 + 16 + 8)*(0 - 4 + 3)*(0*r - 132*r - 84*r)*(3 - 3 - 2). -5616*r Expand (-46*f**2 + 25*f**2 + 35*f**2)*(-29 + 29 - 13*f) + 1 - f**3 - 1 + (f**2 + 0 + 0)*(1 - 1 - 2*f) - 4*f + 4*f + f**3. -184*f**3 Expand (-1 + 11 + 1)*(-8*c + 6*c + 5*c) + (2*c + 5*c - 5*c)*(-1 + 0 + 4). 39*c Expand (0 + 2 - 1 + (2 - 1 - 3)*(-2 + 2 + 1) - 4 + 5 - 3)*(13*y - 23*y + 5*y) + 31 - 31 + 110*y. 125*y Expand (1656*t**3 + 2080*t**3 - 635*t**3)*(2*t**2 - 2*t + 2*t). 6202*t**5 Expand t**3 - 2 + 2 + (0*t + 2*t + 0*t)*(8279 + 2027 + 5943)*(-2*t**2 + 4 - 4). -64995*t**3 Expand (-3 - 5 + 1)*(-25*x + 9*x + 3*x) + 23*x + 12*x - 15*x. 111*x Expand 3*w**5 + 2*w**5 + 0*w**5 - 2*w**2 + (0*w + w - 3*w)*(-2*w**4 - 645*w**3 + 645*w**3) + 3*w**5 + 0*w**5 - 4*w**5. 8*w**5 - 2*w**2 Expand (270*d**2 - 77*d**2 - 197*d**2 - 426)*(-d - 4 + 4). 4*d**3 + 426*d Expand (-4*t + 3*t - 4*t)*((1 + 5 - 4)*(-1 + 4 - 1) + 548 - 1244 + 108 + 1 - 3 + 0). 2930*t Expand -3*b + b + 4*b + (63 - 85 + 52)*(-b + 0*b - b + b - 4*b + 5*b - 3*b + b + 3*b - b - 4 + 4 + (-2*b + 4*b - b)*(1 + 1 - 3)). -28*b Expand (-34*z**4 + 51*z**4 - 93*z**4)*(-2 - 1 + 5) + (3 - z**2 - 3)*((-2 + 1 - 1)*(5*z**2 - 4*z**2 - 3*z**2) - 2*z**2 + 3 - 3). -154*z**4 Expand (11 + 9*h - 11)*(h**4 - 2*h**4 + 0*h**4 + (-4*h + 4*h - 2*h)*(-6*h**3 + h**3 + h**3)). 63*h**5 Expand -339*u - 126*u + 182*u + (0*u + 5*u - 4*u)*(2 + 4 - 4). -281*u Expand (0*l + 3*l + 0*l)*(1 - 4 + 0) + 570*l - 1063*l - 1600*l. -2102*l Expand (14 + 2 - 6 + 5)*(193*m**5 + 9*m**5 + 52*m**5). 3810*m**5 Expand (-6*z + 9*z - 2*z)*(96*z**3 + 8*z**2 + 67 - 103*z**3 - 63). -7*z**4 + 8*z**3 + 4*z Expand (5*q + 3*q - 6*q + 2)*(-31*q - 28*q - 4*q). -126*q**2 - 126*q Expand 2*z**4 - 3*z**4 - 2*z**4 + (-z + 4 - 4)
{ "pile_set_name": "DM Mathematics" }
+ 2259950*v - 1506632. -(v - 753316)*(3*v - 2) Find u such that -423*u**3 + 489408*u**2 + 983985*u + 6954 = 0. -2, -1/141, 1159 What is k in k**5/3 + 6643*k**4/3 + 602777*k**3/3 + 556289*k**2/3 - 1192282*k = 0? -6551, -91, -3, 0, 2 Let -2*s**2 + 43114*s - 19450512 = 0. What is s? 461, 21096 Find p such that 5*p**4/3 + 9645480*p**3 + 41865906930110*p**2/3 + 27910575683640*p + 41865849057245/3 = 0. -2893643, -1 Factor 4*c**4 + 854576*c**3 + 45639485656*c**2 - 456458951760*c + 1141200792900. 4*(c - 5)**2*(c + 106827)**2 Factor -r**3/6 + 18419*r**2/6 + 2*r/3 - 36838/3. -(r - 18419)*(r - 2)*(r + 2)/6 Factor -4*t**2 + 1268616184*t - 100586688894170116. -4*(t - 158577023)**2 Find k, given that -145*k**2 - 44541850*k - 7679625 = 0. -307185, -5/29 Factor -y**2 - 652606*y - 3263005. -(y + 5)*(y + 652601) Find n such that 108*n**5 - 23715*n**4 - 448962*n**3 + 751689*n**2 - 375636*n + 54036 = 0. -19, 1/4, 2/3, 237 Determine f, given that -f**3/3 + 19294*f**2/3 + 7195621*f + 1957833264 = 0. -537, 20368 Let 3*t**5/7 + 2280*t**4/7 + 140412*t**3/7 - 133092720*t**2/7 - 3244579200*t/7 = 0. Calculate t. -470, -24, 0, 204 Let -2*f**4/7 - 454*f**3/7 - 702*f**2 + 52510*f/7 - 81700/7 = 0. Calculate f. -215, -19, 2, 5 Let -3*d**2/7 - 522506634*d/7 - 22751098547834163/7 = 0. Calculate d. -87084439 Factor -2*k**2 + 25652268*k. -2*k*(k - 12826134) Solve 2*s**3/5 + 7491*s**2/5 - 36951*s - 18850 = 0. -3770, -1/2, 25 Solve -31*u**3 - 19045*u**2 - 63628*u - 51324 = 0 for u. -611, -2, -42/31 Factor -265302*h**4 - 2092179375*h**3 - 123069069*h**2/2 - 2413117*h/4 - 3943/2. -(h + 7886)*(102*h + 1)**3/4 Determine b so that 2*b**3/13 + 1910286*b**2/13 + 456100359030*b/13 - 23266087229718/13 = 0. -477597, 51 Solve 4*z**3/3 - 1840898*z**2/15 - 184094*z/15 + 73636/3 = 0 for z. -1/2, 2/5, 92045 Let -p**5/5 + 3181*p**4/5 + 74892*p**3/5 - 768960*p**2 = 0. Calculate p. -48, 0, 25, 3204 Suppose -2*m**2 - 3331772*m + 253226224 = 0. Calculate m. -1665962, 76 Find w, given that -2*w**2/7 - 66692*w/7 + 4075654/7 = 0. -33407, 61 Determine k, given that 16*k**4 + 324608*k**3 + 278342580*k**2 + 832836852*k + 624079944 = 0. -19391, -894, -3/2 Solve -4*k**4 - 8*k**3 + 80092*k**2 + 240272*k + 160176 = 0 for k. -141, -2, -1, 142 Determine w, given that -2*w**4/7 - 37210*w**3 - 11307870900*w**2/7 - 163662580485000*w/7 - 818030238210000/7 = 0. -43410, -5 Suppose 5*t**4 - 46740*t**3 - 421065*t**2 = 0. Calculate t. -9, 0, 9357 Factor 2*r**2 - 1847170*r + 3694332. 2*(r - 923583)*(r - 2) Factor -2*i**2 + 25197792*i - 79366090209408. -2*(i - 6299448)**2 Determine s, given that -598*s**5/7 - 29482*s**4/7 - 381972*s**3/7 - 456768*s**2/7 - 103680*s/7 = 0. -24, -1, -90/299, 0 Factor -4*g**2/3 - 545788*g/3 + 1455520. -4*(g - 8)*(g + 136455)/3 Find o such that 44*o**5/7 + 8760*o**4/7 - 8052*o**3/7 - 10352*o**2/7 + 9600*o/7 = 0. -200, -12/11, 0, 1 Factor 3*z**2/4 - 2013*z/4 + 89835/2. 3*(z - 565)*(z - 106)/4 Find w such that 5*w**3 - 497460*w**2 - 197272895*w - 392555910 = 0. -393, -2, 99887 Let -3*g**3/5 + 163885083*g**2/5 + 65554035*g + 163885089/5 = 0. Calculate g. -1, 54628363 Factor 3*c**2 + 671688*c + 6716580. 3*(c + 10)*(c + 223886) Suppose 2*j**2 - 73742*j - 7171792 = 0. Calculate j. -97, 36968 Solve 2*j**3 - 1372*j**2 + 14850*j = 0. 0, 11, 675 Let -14*c**5/11 + 165876*c**4/11 - 378786*c**3/11 - 3387788*c**2/11 - 1990200*c/11 + 852912/11 = 0. Calculate c. -3, -1, 2/7, 6, 11846 Let 122*a**2/7 - 55164*a + 56970/7 = 0. Calculate a. 9/61, 3165 Let -3*f**2 + 941547*f + 78169068 = 0. Calculate f. -83, 313932 Find f such that -2*f**5/9 - 1436*f**4/9 - 7544*f**3/3 - 118288*f**2/9 - 247360*f/9 - 19968 = 0. -702, -8, -4, -2 Determine y, given that -2*y**5/9 + 424*y**4/9 + 59770*y**3/9 - 77016*y**2 + 241688*y - 171360 = 0. -105, 1, 4, 6, 306 Let 3*g**2 + 231162*g - 231165 = 0. Calculate g. -77055, 1 Suppose 4*f**3 - 6530896*f**2 = 0. Calculate f. 0, 1632724 Solve -3*n**3 + 5150655*n**2 + 61808184*n + 185424876 = 0 for n. -6, 1716897 Solve -3*h**2/4 - 8634237*h/4 - 8634231/2 = 0 for h. -2878077, -2 Suppose 4*r**2 + 96492440*r - 96492444 = 0. Calculate r. -24123111, 1 Suppose -3*a**3 + 5109*a**2 + 207987*a + 2044539 = 0. What is a? -23, -17, 1743 Factor 5*i**3/2 + 233015*i**2 - 57903040*i + 3592371760. 5*(i - 124)**2*(i + 93454)/2 Solve u**2/5 + 7197*u/5 + 12317972/5 = 0. -4393, -2804 Factor -2*f**2/11 + 61558*f/11 - 1168880/11. -2*(f - 30760)*(f - 19)/11 Find x, given that -4*x**2 + 16917200*x + 16917204 = 0. -1, 4229301 Factor -k**3/6 - 887*k**2/3 - 775883*k/6 - 387055/3. -(k + 1)*(k + 778)*(k + 995)/6 Suppose -2*x**2/5 + 959832*x/5 - 2879478/5 = 0. What is x? 3, 479913 Find z, given that 4*z**5 + 192580*z**4 + 2314759912*z**3 - 76610246840*z**2 - 160164003116*z - 81239188940 = 0. -24089, -1, 35 Determine l, given that -32*l**5/9 - 16978000*l**4/9 - 2251942819394*l**3/9 + 7882040745068*l**2/9 + 4363258590046*l/9 + 563000560712/9 = 0. -265283, -1/4, 4 Suppose 5*a**4/4 + 31065*a**3/4 + 3013225*a**2/4 - 80722665*a/4 + 38839185/2 = 0. Calculate a. -6114, -121, 1, 21 Factor -2*l**3/3 - 328690*l**2/3 - 1314736*l/3 - 1314728/3. -2*(l + 2)**2*(l + 164341)/3 Factor 2*u**2/5 - 61076*u - 5192038/5. 2*(u - 152707)*(u + 17)/5 What is f in -2*f**2/9 - 242146*f/9 - 161428/3 = 0? -121071, -2 Find s such that -3*s**5 - 39375*s**4 - 176378082*s**3 - 286756191690*s**2 - 76751307848475*s + 77038240457625 = 0. -4265, -331, 1 Factor 3*k**3/4 + 278025*k**2/4 + 1605461556*k - 227754035568. 3*(k - 141)*(k + 46408)**2/4 Factor -2*a**3 - 5276*a**2 - 289184*a. -2*a*(a + 56)*(a + 2582) Factor 2*g**3/13 + 85356*g**2/13 - 48443838*g/13 + 6828547280/13. 2*(g - 281)**2*(g + 43240)/13 Let -n**2 + 11360642*n - 32266046663041 = 0. Calculate n. 5680321 Let p**2 + 8377*p - 2873310 = 0. What is p? -8707, 330 Find o such that -2*o**2/7 - 86558040*o/7 - 173116072/7 = 0. -43279018, -2 Solve -65*x**4 - 39960*x**3 - 947720*x**2 + 1288800*x + 1534000 = 0. -590, -26, -10/13, 2 What is p in p**4/3 - 2638*p**3/3 - 176279*p**2/3 + 526184*p = 0? -73, 0, 8, 2703 Solve 2*x**2/7 - 3200*x - 82324512/7 = 0. -2916, 14116 Suppose -24*o**3 - 64918*o**2 - 43733980*o + 223995050 = 0. Calculate o. -1355, 61/12 Factor 5*n**2 + 13255*n - 17127510. 5*(n - 951)*(n + 3602) Find l such that 5*l**5 - 183400*l**4 + 227360355*l**3 - 95188112360*l**2 + 13208406091840*l + 40488064872960 = 0. -3, 424, 35411 Factor -j**2/4 - 289393*j/4 - 578770. -(j + 8)*(j + 289385)/4 Factor 5*r**3 + 66985*r**2 - 21125725*r + 1646553375. 5*(r - 155)**2*(r + 13707) What is u in -3*u**2 - 16014849*u - 16014846 = 0? -5338282, -1 Solve h**5/5 + 677*h**4/5 + 15499*h**3 - 20957*h**2/5 - 2382996*h/5 + 465156 = 0. -531, -146, -6, 1, 5 Solve c**3 - 1158*c**2 - 182695*c - 2476500 = 0 for c. -127, -15, 1300 Find o, given that 3*o**4/4 - 2757*o**3/4 + 44487*o**2/4 + 3735357*o/4 + 8609055/2 = 0. -26, -5, 49, 901 Factor 2*t**2 - 11656216*t + 16983421429832. 2*(t - 2914054)**2 Suppose -8*k**3 - 86516*k**2/3 - 2559580*k/3 + 143000 = 0. What is k? -3575, -30, 1/6 Suppose 2*c**4/13 - 1380*c**3/13 + 260282*c**2/13 - 7647648*c/13 + 54437504/13 = 0. What is c? 11, 23, 328 What is u in -6*u**4/13 + 2920*u**3 - 1383726*u**2/13 - 465460*u/13 = 0? -1/3, 0, 37, 6290 Suppose 2*w**3/5 - 187128*w**2/5 + 869668002*w + 269634253140 = 0. Calculate w. -306, 46935 Factor b**4 - 17383772*b**3 + 75549038690782*b**2 - 1359878472180396*b + 6119446788433449. (b - 8691877)**2*(b - 9)**2 Determine a so that -a**2/2 - 81454271*a + 162908544 = 0. -162908544, 2 Factor -384134794813449*l**2/11 - 509583282*l/11 - 169/11. -(19599357*l + 13)**2/11 Find r, given that -10*r**5/17 + 13880314*r**4/17 - 61073254*r**3/17 + 91609822*r**2/17 - 55521088*r/17 + 11104216/17 = 0. 2/5, 1, 2, 1388027 What is l in -20*l**2 + 10729975*l - 351385230 = 0? 131/4, 536466 Factor -b**2/4 - 125830*b - 15833188900. -(b + 251660)**2/4 Solve s**2/3 + 12807868*s/3 + 41010370676356/3 = 0 for s. -6403934 Determine l, given that -4*l**2 + 1911253160*l - 228305540100624100 = 0. 238906645 Factor 17*s**2/4 - 1906*s + 198516. (s - 284)*(17*s - 2796)/4 Factor -t**2 - 1016043*t - 3048120. -(t + 3)*(t + 1016040) Determine d so that -3*d**5 + 183*d**4 - 3975*d**3 + 36285*d**2 - 126882*d + 137592 = 0. 2, 4, 13, 21 Factor 2*r**3/3 + 659426*r**2/3 + 54332573846*r/3 - 1250695926526. 2*
{ "pile_set_name": "DM Mathematics" }
-10. Does 3 divide -4 - -17 - x/2? True Is 30 a factor of ((-552)/(-10))/(-12*6/(-240))? False Suppose 0 = 3*l - 84 - 96. Is l a multiple of 18? False Let d = 43 - -81. Is 19 a factor of d? False Suppose -s - 8 = -2*s. Let f(r) be the second derivative of -r**5/20 + 2*r**4/3 + r**3/3 + 3*r**2 - r. Is 11 a factor of f(s)? True Let w = -67 + 94. Is w a multiple of 3? True Let w(o) = -o**2 + 33. Is 12 a factor of w(0)? False Suppose 4*j - 57 = 31. Let f = j - -34. Suppose 3*h + 12 = 0, h - 2*h + f = 4*x. Does 5 divide x? True Let b = 47 + -13. Does 10 divide b? False Does 13 divide 1 - (3 + -52 - 2)? True Suppose -5*z - 3*n + 1472 = -396, 5*z = n + 1864. Is z a multiple of 13? False Let q be 3 + 0 + -5 + -4. Does 16 divide (-103)/(-2) + q/4? False Let t be 3*2/3 - -3. Suppose -w + 5*n = -18, 30 = 5*w + t*n - 0*n. Let d = w + 0. Is d a multiple of 8? True Let n be 4/12 + (-17)/(-3). Let q = 11 + n. Is 5 a factor of q? False Suppose -4*u + 9 = -7. Does 6 divide 14/u*60/21? False Is (2 + -1 - -2) + 115 + 8 a multiple of 18? True Suppose -j - 3*j + 3*z = -47, -3*j + 36 = -2*z. Is j a multiple of 7? True Suppose -4*k = -3*o - 526 + 181, 5*k = 3*o + 429. Is k a multiple of 28? True Let u = -16 + 26. Is (-8)/u - 2112/(-40) a multiple of 9? False Let c = 259 + -159. Is 27 a factor of c? False Let j = 11 - 9. Let n(k) = 6*k**2 - 2*k - 1. Does 6 divide n(j)? False Let z(r) = 4*r**2 + 1. Let h be z(2). Let d = 21 - h. Does 2 divide d? True Suppose 3*j + 78 = -0*s - 5*s, 5*s - 2*j = -98. Is s/(-81) + (-590)/(-18) a multiple of 11? True Let h(q) = q + 4. Let k be h(-6). Is 8 a factor of (-33)/3*k - -1? False Let f be (-6)/(-33) - 128/(-22). Let q(p) = -p**2 + 3*p + 2. Let i be q(f). Let d = i - -28. Does 5 divide d? False Is 605/10 + 3/6 a multiple of 17? False Let g(l) = -15*l - 7. Let p be g(9). Let s = -85 - p. Is s a multiple of 23? False Let k be 7 + (-4)/((-12)/(-9)). Suppose -7 = -5*b - 3*r, 0 = -k*b + r + r + 10. Suppose -5*h = -4*h - b*c - 25, -4*h - 2*c = -100. Does 14 divide h? False Let t(c) = -c**3 - c**2 + 3*c - 4. Let v be t(-3). Suppose -v = 2*r + 4*n - 43, -4*n = 12. Is 25 a factor of r? True Suppose 4*f = -2*u + 116, -2*u + 66 = -u + 4*f. Is u a multiple of 5? True Let i be (-312)/10 + (-1)/(-5). Let a = i + 9. Let o = a + 40. Is 16 a factor of o? False Let f(v) = 74*v**2 - v - 1. Let c be 1/((-3 - -2) + 0). Is 25 a factor of f(c)? False Suppose -2*k = -3*h + 370, -5*h - 3*k + 718 = 76. Is h a multiple of 12? False Suppose -4*p = -f - 5, 29 - 4 = 4*f - p. Suppose -f*g + 2*g = -3*w - 132, -84 = -4*g - 3*w. Does 10 divide g? False Let q(k) = 68*k. Is 17 a factor of q(3)? True Let j = -1 + 83. Let s be (-1 - -2)/(1/3). Suppose 4*g = 2*r - 53 + 1, -4*r = s*g - j. Is r a multiple of 11? True Does 16 divide ((-56)/(-21))/(2/24)? True Suppose 2*x - x = 5. Suppose -x*u = 2*i - 127, i + 2*i = 5*u - 147. Does 12 divide u? False Suppose -2*w = o - 8, -w = -4*o + 2*w - 12. Suppose p + o*p = 2. Suppose -51 = -f + 4*i, 3*f - 38 = p*i + 65. Is 13 a factor of f? False Is (-13)/39*108/(-2) a multiple of 9? True Let y(x) = 5*x**3 - 4*x**2 + 3*x. Is y(2) a multiple of 10? True Let n(h) = 2*h - 2*h + 34*h**2 + 1 - h. Does 17 divide n(1)? True Is 2 a factor of (1/(-2))/((-3)/66)? False Let n(i) = -4*i - 12. Let p = -11 + 3. Does 10 divide n(p)? True Let s(a) = -9*a + 13. Suppose 5*y + 3*m = -54, -3 = 2*m + 3. Let w be s(y). Suppose 71 = 3*b - 4*h, -3*b - w = -7*b + 5*h. Is 7 a factor of b? True Let l be ((-2)/(-4))/(10/100). Let h(o) = o. Let b be h(-3). Let a = l + b. Is a even? True Suppose -2*n = -5*s + 282, s + n - 3*n - 58 = 0. Let r be 6/(-18) + s/6. Let t(v) = -v**3 + 9*v**2 - v + 12. Is t(r) a multiple of 2? False Is 2 a factor of (-6)/(-5)*240/9 + 2? True Suppose -n = -4*s - 0*n + 31, 5*s + 5*n = 20. Let d = s - -13. Suppose -l - 3*i = 11, -10 - d = -5*l + 2*i. Is l a multiple of 2? True Let r(l) = l**2 + 6*l - 9. Let z be r(-7). Let x be -1 + (54 - (z + 4)). Suppose 19 - x = -4*c. Does 6 divide c? False Let i(c) = 12*c**2 + 4*c - 10. Is 22 a factor of i(3)? True Let k(g) = -2*g + 19. Suppose -2*l - 2 = -l - 4*n, l - 14 = -4*n. Is k(l) even? False Let b(u) = -u - 4. Let m be b(-5). Is 9 a factor of (-84)/6*-2*m? False Suppose 44 = 3*b + 11. Is (-3 - b/3)*-3 a multiple of 10? True Let q(n) = -n**3 - 8*n**2 + 9*n - 2. Let g be q(-9). Let k = g + 42. Is k a multiple of 20? True Let r be 9/(-2)*(-10)/15. Let s = r + 9. Is 10 a factor of s? False Let l(w) = 8*w - 2. Let o(d) = -d + 1. Let m be o(-2). Let g be l(m). Suppose -2*r + 34 = -g. Is 14 a factor of r? True Suppose 4*a - 5*f - 31 = 0, 2*a = -2*a - 4*f + 4. Suppose -156 = -4*z - a*o, 2*z - 3*o - 122 + 39 = 0. Is 20 a factor of z? True Let r = 18 - 11. Let i = r - 4. Suppose 0 = i*d + 16 - 4, 3*c = 4*d + 55. Is 13 a factor of c? True Let x be 9/(-2*3/(-6)). Is (x + -8)/((-2)/(-34)) a multiple of 17? True Let h = -7 + 11. Is (-12 + 6)/(h/(-10)) a multiple of 15? True Let c(a) = a**2 - 13*a - 16. Let m be c(13). Let z = 61 - 35. Let n = z + m. Is 5 a factor of n? True Suppose -3*m - 4 = -c, -4*c = 4*m - 2*m - 2. Let d be -4*(c + -2 + 0). Let i(p) = p**3 - 2*p**2 - 6*p + 2. Is 10 a factor of i(d)? True Let w be (6 + -3)/(1/(-3)). Let l be 31*3/(w/(-3)). Let i = l - 4. Is i a multiple of 12? False Let t = 4 + -5. Let h(l) = -10*l**3 + l**2 + 2*l + 1. Does 3 divide h(t)? False Suppose 0*k = -2*k. Let a be (-2)/(-6)*k*1. Suppose a = 3*d + d + 5*u - 172, -3*d = -5*u - 164. Is 17 a factor of d? False Suppose y - 28 - 152 = 0. Does 45 divide y? True Let q = -1 - -1. Suppose q = 4*x - c + 5*c - 60, 0 = -5*c + 5. Does 7 divide x? True Let a be (-237)/(-6) - 4/8. Suppose -3*v = -3*l - a, 2*v + 3*l + 61 = 7*v. Does 3 divide v? False Suppose 2*w + 20 = -5*h, -w - 4 = -3*h + w. Let t = -11 - h. Is 8 a factor of (5 + -1)/((-2)/t)? False Let n be (-2 - (-10)/4)*-26. Let u = n - -16. Does 3 divide u? True Suppose 0 = 4*s - m - 37, -2*m + 0*m = -6. Let u = -1 + s. Does 2 divide u? False Let d = 9 - 4. Is d a multiple of 2? False Let l = 19 + -15. Suppose -g + 33 = l. Is g a multiple of 15? False Let d = 705 + -419. Does 13 divide d? True Suppose 0 = 3*m - 5*y - 28, -5*m + 5*y + 23 = -7. Suppose -5*l - 5*q = -m + 6, -3*l - 9 = 5*q. Suppose -20 = -7*b + l*b. Does 2 divide b? True Suppose -2*s + 8 = -78. Is s a multiple of 8? False Let d = -18 - -2. Let u = -8 - d. Is u a multiple of 6? False Let f(s) = s**3 + 5*s**2 - 3*s - 7. Let r be f(-5). Is (2 + r)*3/2 a multiple of 6? False Let c = -3 + 28. Is 5 a factor of c? True Let m be 5/(-20) - (-94)/(-8). Let d = -8 - m. Does 4 divide (5 + d)/(6/8)? True Let v(u) = 2*u**2 + u - 1. Let t be v(2). Does 16 divide -3*1*(-60)/t? False Let g(w) be the third derivative of w**5/30 - w**4/3 + 4*w**3/3 - 4*w**2. Is g(6) a multiple of 16? True Suppose -160 = -4*z + 3*z - 5*k, -5*k = 4*z - 700. Is z a multiple of 10? True Suppose 5*g - 9*o - 253 = -13*o, -5*o - 88 = -2*g. Is 14 a factor of g? False Let k(p) = 3*p**2 - 3*p - 14. Is 28 a factor of k(-6)? True Let l be -3*(3/1 + -2). Let q = l + 6. Suppose -p = q*p - 36. Is p a multiple of 4? False Is 26 a factor of (2 - 4)*219/(-6)? False Let r(z) = z**2 - 6*z - 6. Let k be r(5). Let g = -8 - k. Suppose -2*v + 2 = -g*v, 3*n + 5*v - 41 = 0. Is n a multiple of 17? True Let y = -5 + 9. Let b be 22/8 + 2/8. Suppose b*i + 4 = y*i. Is 4 a factor of i? True Let v(z) = -7*z + 2. Let o(f) = -13*f + 4. Let c(l) = -3*o(l) + 7*v(l). Let p = -2 - 0. Is 22 a factor of c(p)? True Let v(z) = -z**3 + 8*z**2 - 9*z. Does 18 divide v(6)? True Let n be 1/6 - (-122)/(-12). Suppose 0 = 4*f - 0*f - 112. Let p = n + f. Is 7 a factor of p? False Let v(k) = k**2 + 7*k - 11. Let t(s) = 1. Let f(r) = 4*t(r) + v(r). Let c be f(-8). Let x = 2 + c. Is 3 a factor of x? True Suppose s = -2*y + 48, -y + 3*s = -2*y + 14. Is 7 a factor of y? False Let o(j) = -3*j**3 - 2*j**2 + 5*j - 1. Let d(c) = -7*c**3 - 4*c**2 + 11*c - 2. Let f(p) = -2*d(p) + 5*o(p). Is f(-4) a multiple of 9? False Suppose -2*p + 2 = 2*l, -l - 11 - 18 = -4*p. Let t be 1*(-1 + (-1 - 1)). Is 5 a factor of p + (3 + t)/1? False Let g be (28/(-6))/((-4)/(-138)). Is (-1)/(-2) - g/14 a multiple of 4? True Let p(r) = r. Let w be p(2). Suppose -4*o - w*q + 100 = 0, 4*q - 15 = -3*o + 55. Does 13 divide o? True Su
{ "pile_set_name": "DM Mathematics" }
? 9 What is 520 minutes before 6:43 AM? 10:03 PM What is 237 minutes after 12:18 AM? 4:15 AM What is 667 minutes before 12:53 AM? 1:46 PM How many minutes are there between 7:47 PM and 6:30 AM? 643 What is 429 minutes after 3:51 AM? 11:00 AM What is 52 minutes before 11:40 AM? 10:48 AM What is 207 minutes after 8:30 PM? 11:57 PM What is 655 minutes after 9:56 PM? 8:51 AM What is 589 minutes after 8:54 AM? 6:43 PM What is 96 minutes before 9:09 PM? 7:33 PM How many minutes are there between 6:40 AM and 7:22 AM? 42 How many minutes are there between 2:00 AM and 9:38 AM? 458 How many minutes are there between 5:06 AM and 11:20 AM? 374 How many minutes are there between 6:16 PM and 7:58 PM? 102 How many minutes are there between 8:58 AM and 5:44 PM? 526 What is 624 minutes after 2:36 PM? 1:00 AM How many minutes are there between 6:19 AM and 6:25 AM? 6 How many minutes are there between 10:02 PM and 6:54 AM? 532 What is 53 minutes after 2:10 AM? 3:03 AM How many minutes are there between 12:25 AM and 11:53 AM? 688 How many minutes are there between 7:23 PM and 6:33 AM? 670 What is 714 minutes after 2:39 PM? 2:33 AM What is 404 minutes after 6:56 PM? 1:40 AM What is 155 minutes before 7:01 AM? 4:26 AM What is 418 minutes after 7:36 AM? 2:34 PM What is 289 minutes before 3:40 AM? 10:51 PM What is 596 minutes after 3:22 PM? 1:18 AM How many minutes are there between 1:49 AM and 7:06 AM? 317 How many minutes are there between 10:14 AM and 10:54 AM? 40 How many minutes are there between 4:31 AM and 1:50 PM? 559 What is 445 minutes before 11:55 AM? 4:30 AM What is 110 minutes after 8:17 PM? 10:07 PM What is 325 minutes after 7:14 AM? 12:39 PM How many minutes are there between 5:17 PM and 8:04 PM? 167 What is 251 minutes after 6:57 PM? 11:08 PM What is 502 minutes before 1:26 AM? 5:04 PM What is 470 minutes after 8:53 PM? 4:43 AM What is 507 minutes before 12:29 AM? 4:02 PM How many minutes are there between 2:12 PM and 1:27 AM? 675 How many minutes are there between 1:04 PM and 12:44 AM? 700 What is 91 minutes after 4:29 AM? 6:00 AM What is 647 minutes before 1:46 AM? 2:59 PM What is 130 minutes before 1:39 PM? 11:29 AM How many minutes are there between 3:40 PM and 9:46 PM? 366 How many minutes are there between 4:17 AM and 9:49 AM? 332 What is 691 minutes after 8:21 PM? 7:52 AM What is 457 minutes before 5:03 AM? 9:26 PM How many minutes are there between 2:53 PM and 12:17 AM? 564 What is 597 minutes before 10:13 AM? 12:16 AM How many minutes are there between 5:41 PM and 1:57 AM? 496 What is 195 minutes after 7:35 AM? 10:50 AM How many minutes are there between 7:13 AM and 5:08 PM? 595 How many minutes are there between 1:16 AM and 2:33 AM? 77 How many minutes are there between 8:48 AM and 8:15 PM? 687 What is 468 minutes before 5:59 AM? 10:11 PM What is 706 minutes after 1:41 PM? 1:27 AM How many minutes are there between 1:33 PM and 7:39 PM? 366 What is 12 minutes before 3:49 PM? 3:37 PM How many minutes are there between 10:53 AM and 8:34 PM? 581 How many minutes are there between 11:09 AM and 7:17 PM? 488 How many minutes are there between 8:07 AM and 5:16 PM? 549 How many minutes are there between 10:07 PM and 10:43 PM? 36 How many minutes are there between 4:22 PM and 4:41 PM? 19 What is 432 minutes before 4:40 AM? 9:28 PM How many minutes are there between 6:31 PM and 9:58 PM? 207 How many minutes are there between 7:23 PM and 7:17 AM? 714 What is 39 minutes before 9:05 AM? 8:26 AM How many minutes are there between 9:37 AM and 12:27 PM? 170 What is 675 minutes after 5:46 PM? 5:01 AM How many minutes are there between 2:56 PM and 11:01 PM? 485 What is 514 minutes before 8:48 PM? 12:14 PM How many minutes are there between 12:19 AM and 8:20 AM? 481 What is 252 minutes after 10:54 AM? 3:06 PM What is 549 minutes after 7:22 PM? 4:31 AM How many minutes are there between 4:40 PM and 8:37 PM? 237 What is 553 minutes after 3:45 PM? 12:58 AM How many minutes are there between 6:57 PM and 3:05 AM? 488 What is 235 minutes after 11:04 AM? 2:59 PM How many minutes are there between 7:41 PM and 6:56 AM? 675 What is 318 minutes after 3:30 PM? 8:48 PM How many minutes are there between 10:42 PM and 2:56 AM? 254 What is 342 minutes after 1:24 PM? 7:06 PM What is 243 minutes after 1:48 PM? 5:51 PM What is 588 minutes before 7:32 AM? 9:44 PM What is 165 minutes before 10:40 PM? 7:55 PM What is 439 minutes before 3:40 PM? 8:21 AM What is 690 minutes before 1:27 AM? 1:57 PM How many minutes are there between 3:57 AM and 5:13 AM? 76 How many minutes are there between 7:45 AM and 1:09 PM? 324 What is 474 minutes before 6:54 PM? 11:00 AM How many minutes are there between 9:59 PM and 3:31 AM? 332 How many minutes are there between 11:05 AM and 5:47 PM? 402 How many minutes are there between 1:00 AM and 12:22 PM? 682 How many minutes are there between 8:12 AM and 6:23 PM? 611 How many minutes are there between 11:53 AM and 4:48 PM? 295 What is 689 minutes after 8:48 PM? 8:17 AM What is 342 minutes after 7:04 PM? 12:46 AM How many minutes are there between 12:44 AM and 2:39 AM? 115 What is 707 minutes after 2:36 AM? 2:23 PM How many minutes are there between 10:57 AM and 2:34 PM? 217 What is 488 minutes after 11:05 PM? 7:13 AM How many minutes are there between 10:36 AM and 6:57 PM? 501 How many minutes are there between 1:49 AM and 11:02 AM? 553 How many minutes are there between 4:51 AM and 12:39 PM? 468 How many minutes are there between 7:47 PM and 6:59 AM? 672 What is 251 minutes before 11:10 AM? 6:59 AM What is 688 minutes after 7:10 PM? 6:38 AM What is 331 minutes after 7:27 AM? 12:58 PM How many minutes are there between 10:52 AM and 1:48 PM? 176 What is 398 minutes after 3:39 AM? 10:17 AM How many minutes are there between 1:44 AM and 1:11 PM? 687 How many minutes are there between 3:03 AM and 2:12 PM? 669 What is 636 minutes after 6:13 PM? 4:49 AM What is 582 minutes before 2:46 PM? 5:04 AM How many minutes are there between 4:17 PM and 4:03 AM? 706 How many minutes are there between 7:05 PM and 8:14 PM? 69 What is 660 minutes after 11:01 AM? 10:01 PM How many minutes are there between 6:38 AM and 7:27 AM? 49 How many minutes are there between 4:24 PM and 2:19 AM? 595 How many minutes are there between 8:18 AM and 7:47 PM? 689 How many minutes are there between 2:34 PM and 4:05 PM? 91 How many minutes are there between 10:36 AM and 3:32 PM? 296 How many minutes are there between 12:33 PM and 7:07 PM? 394 What is 459 minutes after 8:35 AM? 4:14 PM How many minutes are there between 12:09 AM and 8:02 AM? 473 How many minutes are there between 10:32 PM and 5:18 AM? 406 What is 672 minutes after 3:50 AM? 3:02 PM How many minutes are there between 3:52 PM and 3:04 AM? 672 What is 185 minutes before 10:21 PM? 7:16 PM What is 240 minutes before 7:27 AM? 3:27 AM How many minutes are there between 11:05 AM and 10:53 PM? 708 What is 103 minutes after 4:41 PM? 6:24 PM What is 467 minutes before 4:30 AM? 8:43 PM What is 59 minutes after 11:52 AM? 12:51 PM How many minutes are there between 4:04 PM and 11:05 PM? 421 What is 317 minutes before 7:28 PM? 2:11 PM What is 20 minutes before 10:17 PM? 9:57 PM How many minutes are there between 11:03 PM and 1:06 AM? 123 What is 706 minutes after 11:11 PM? 10:57 AM How many minutes are there between 11:03 PM and 1:10 AM? 127 How many minutes are there between 3:13 PM and 1:31 AM? 618 What is 560 minutes before 4:01 AM? 6:41 PM What is 539 minutes after 1:19 AM? 10:18 AM What is 302 minutes before 8:36 PM? 3:34 PM How many minutes are there between 11:57 AM and 9:33 PM? 576 What is 279 minutes before 11:13 PM? 6:34 PM What is 587 minutes before 9:55 PM? 12:08 PM How many minutes are there between 9:54 PM and 7:00 AM? 546 How many minutes are there between 1:45 AM and 4:31 AM? 166 How many minutes are there between 12:41 PM and 6:57 PM? 376 What is 223 minutes before 7:18 AM? 3:35 AM What is 132 minutes after 1:07 AM? 3:19 AM How many minutes are there between 5:17 AM and 7:32 AM? 135 How many minutes are there between 7:20 AM and 5:06 PM? 586 What is 279 minutes after 5:44 AM? 10:23 AM How many minutes are there between 3:00 AM and 4:31 AM? 91 How many minutes are there between 2:34 PM and 8:02 PM? 328 What is 120 minutes b
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of 148851? 5 What is the tens digit of 504940? 4 What is the tens digit of 10682335? 3 What is the units digit of 5519316? 6 What is the tens digit of 418649? 4 What is the ten thousands digit of 176903? 7 What is the ten thousands digit of 656998? 5 What is the units digit of 504584? 4 What is the thousands digit of 386936? 6 What is the tens digit of 3124929? 2 What is the ten thousands digit of 28488? 2 What is the hundred thousands digit of 5727961? 7 What is the ten thousands digit of 4418178? 1 What is the ten thousands digit of 4637851? 3 What is the hundreds digit of 5201784? 7 What is the millions digit of 1537557? 1 What is the tens digit of 2689042? 4 What is the hundred thousands digit of 1252345? 2 What is the hundred thousands digit of 7293968? 2 What is the units digit of 2817602? 2 What is the hundred thousands digit of 2693407? 6 What is the ten thousands digit of 2962327? 6 What is the hundred thousands digit of 482390? 4 What is the units digit of 2051007? 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6 What is the units digit of 354202? 2 What is the ten thousands digit of 19564500? 6 Wha
{ "pile_set_name": "DM Mathematics" }
r*h and give r. -8 Rearrange (0 - 3 + 0)*(3*a + 0*a + 0*a) + a - 5*a - 9*a - 2*a - 2 + 2 - a - 2*a + 5*a + 1 to m*a + l and give l. 1 Express -10 + v**3 + 0*v - 125*v**2 - 2*v + 127*v**2 - 2*v**4 in the form g*v + b*v**2 + z*v**3 + j*v**4 + f and give b. 2 Rearrange -1577*s + 795*s + 821*s to j*s + u and give j. 39 Rearrange -3*i**4 - 36*i - 107*i - 10*i**4 + 2*i**3 + 11*i**4 - 59*i to u*i**2 + q*i + x*i**4 + m + j*i**3 and give q. -202 Express (-2*d + d + 0*d)*(-3*d**2 - d**2 + 2*d**2)*(-21*d + 42*d - 2*d) + 0*d**4 - 3*d**4 + d**4 in the form n*d**2 + r*d**3 + p*d + s + f*d**4 and give s. 0 Express (0*t - t - t)*(5 - 2 - 2)*(-40*t - 18*t + 181*t) as m*t + k + y*t**2 and give y. -246 Express -2*b + 3*b + 2*b**3 - 2*b**2 - b**3 + 71*b**2 in the form k + n*b**3 + c*b**2 + f*b and give n. 1 Rearrange -2*d**3 - 3*d - 18 + 0 - d - d + 4*d to f*d + n*d**2 + v + z*d**3 and give v. -18 Express (-172*f - 69*f - 14*f + (2*f - 2*f - f)*(6 - 5 + 1))*(-8 + 8 + 6*f) in the form p*f + w*f**2 + u and give w. -1542 Express 6*o**4 - 3*o**2 + 1011*o - 2020*o + 1019*o as h*o**3 + b + s*o**4 + w*o + i*o**2 and give s. 6 Rearrange 54*d + 97*d + 98*d - 6*d + (4*d - 2*d - 4*d)*(-1 + 0 + 2) to x*d + v and give x. 241 Rearrange -265*l**3 + 268*l**3 - 4*l**4 - 12*l**4 + 0*l - 1 - 9*l**4 - l - 2*l**2 to i + g*l + k*l**2 + h*l**4 + o*l**3 and give h. -25 Express (274 + 480 + 184 + 219 - 291)*(-3*k**3 + 10 - 10) in the form u + s*k + j*k**2 + r*k**3 and give r. -2598 Express 1523 - 1523 + 2498*d**2 - 2*d as f*d + a*d**2 + g and give a. 2498 Rearrange 0*x**2 + 4*x**2 + 4320*x**3 - 5 + x - 4319*x**3 to j*x + a*x**3 + m*x**2 + n and give m. 4 Rearrange 20403*w**2 + 29*w**3 - 20403*w**2 + (0 + 0 + 3*w**2)*(2*w + w - w) to q + j*w + c*w**3 + o*w**2 and give c. 35 Rearrange (6 - 21 - 15)*(18*m**2 - 42*m**2 - 17*m**2) + (m**2 - 2*m**2 + 4*m**2)*(2 - 1 - 3) to the form x*m + u + c*m**2 and give c. 1224 Rearrange -13*t + 82 - 84 + 5*t to the form w + o*t and give w. -2 Rearrange (-4*j - j + 3*j)*(-112*j - 248*j + 67*j) to z*j**2 + p + y*j and give p. 0 Express 856*n + 1537*n - 1649*n + (-4 + 0 + 2)*(-2*n + 0 + 0) + 6*n - 5*n + 0*n in the form r + g*n and give g. 749 Express z**3 + 3 - 4*z + 0*z**2 - z**2 - z**2 - 2*z**2 + 7*z**2 as p*z**2 + a*z**3 + u*z + x and give x. 3 Rearrange 13 - 13 + 16*c**2 + (-3*c - c + c - 1)*(c + 2*c + c) to n + o*c**2 + k*c and give k. -4 Rearrange ((-4 + 0 + 1)*(-2 + 2 - f) + (1 - 6 + 3)*(2*f - 3*f + 0*f + (1 + 1 - 1)*(f - 2*f - 3*f)))*(1 - 5 - 1) to the form p*f + h and give p. -65 Express 12006*l - 12006*l - 346*l**2 in the form k + b*l**2 + z*l and give b. -346 Express 2433*m - 1185*m + 756*m as a + x*m and give x. 2004 Rearrange (2*a - a + 1 - 2*a)*(-32*a**2 - 7 + 58*a**2 - 34*a**2) to s*a**3 + v*a**2 + b + z*a and give s. 8 Rearrange -3*r - 1 - 936*r**3 - 1086*r**3 + 3598*r**3 - 1 - 1225*r**3 to s + m*r + g*r**3 + q*r**2 and give m. -3 Rearrange 15*g + 40*g - 2*g**2 + 29*g + 2 - 51*g + 8*g to o*g + z*g**2 + r and give z. -2 Express 59830 - 59830 + 668*n as z + m*n and give m. 668 Express (-7*y**2 + 0*y**2 + 2*y**2)*(12 - 13 - 29)*(2*y - 2*y - 3*y**2) as u*y**3 + h*y + o*y**4 + x + v*y**2 and give o. -450 Express (-2 + 0 + 0)*(-5*v + v + 3*v)*(0*v + 6*v + 2*v + (11*v - 22*v + 30*v)*(0 - 3 + 1)) as i*v + k*v**2 + c and give k. -60 Express 18 + 16*i**2 - 5 - 20 in the form m*i**2 + z + p*i and give z. -7 Rearrange -2148*s**3 + 4*s - 7 - 6*s**2 + 16*s**2 + 2146*s**3 - 4*s to a*s**3 + c*s + u*s**2 + y and give a. -2 Rearrange (8 + 141 + 201)*(-a + 1 + 1 + 0*a) to the form d + f*a and give f. -350 Express (2 - 2 + 2*h)*(-2*h - 3*h + 6*h) - 1 - 1041*h + 525*h + 522*h - 17*h**2 in the form n*h + i + u*h**2 and give u. -15 Rearrange -73*q - 135*q + 73*q to c + x*q and give x. -135 Rearrange (t - 13*t - t)*(3 - 7 - 6) + t - 1 - 2 + 1 to the form a*t + v and give v. -2 Rearrange 4*j - 5*j + 0*j - 5*j + 8*j + 25*j + 0*j + 5*j - 4*j + (-4 + 4 - 1)*(2*j + 1 - 1) - j - j + j - j + 0*j + 2*j + 1 - 1 - 3*j to p + s*j and give s. 23 Express -32*x**2 + 53*x**2 + 10*x**2 + 3 + 97*x**2 + 205*x**2 as r*x + i + c*x**2 and give c. 333 Rearrange 39*t**3 - 34*t - 76*t**3 - 142*t + 38*t**3 to u + n*t**3 + q*t + d*t**2 and give n. 1 Express (38 - 18 - 2*l - l**2 + 6)*(18 - 11 + 17) as m + n*l**2 + a*l and give a. -48 Rearrange 2 - 2*c**2 + 4*c**2 - 8*c**3 - 5*c**4 + c**4 - 2*c + 11*c**3 to a*c**2 + f + q*c**3 + p*c + d*c**4 and give q. 3 Express ((-1 + 0 + 2)*(-1 + 2*t + 1) + 0*t + 3*t - 4*t)*(-16 - 9 - 1)*(34*t - 15*t + 34*t) in the form a + k*t + q*t**2 and give q. -1378 Rearrange 102*k**2 + 2528*k - k**3 - 2528*k to q*k**2 + t*k**3 + o + m*k and give o. 0 Express 2*x**4 - 59*x**3 + 52*x**3 + 26*x**2 - 2*x - 30*x**2 in the form a*x**4 + t*x + h*x**3 + l + z*x**2 and give t. -2 Express 21*n**4 + 0*n + 0*n + (1 - 1 + n**3)*(-4 + 3*n + 4) as h*n**4 + y*n**3 + q*n + l*n**2 + z and give h. 24 Express -29 + 44 + 1048*x - 15 in the form m*x + q and give m. 1048 Rearrange (-549*h**4 + 4 - 5 + 8220*h - 8222*h)*(3 - 6 + 1) to the form n*h**2 + w*h + j + r*h**4 + s*h**3 and give w. 4 Rearrange (t - 2*t + 0*t)*(0*t + 2*t - 3*t)*(-2 + 27*t**2 - 41 + 20) to the form a*t**2 + i*t**3 + v*t + c + z*t**4 and give z. 27 Express -12*u - 14 - 13 - 13 + 37 as o + q*u and give q. -12 Rearrange (-6*m - 3*m + 3*m)*(13 + 14 - 12)*(1 + 2 - 1)*(2*m + m - m - m + 0*m + 0*m + (-2 - 1 + 4)*(-2*m - 3 + 3)) to the form l + k*m + g*m**2 and give g. 180 Rearrange 68*a**2 - 3037 + 3037 + (2 - 1 - 2)*(-2*a**2 - a**2 + 5*a**2) to f*a**2 + y*a + m and give f. 66 Express -2*j + 3*j + 0*j + (0 + 3 - 2)*(4*j - 3*j - 3*j) - 590 + 296 + 296 - 45*j as x + f*j and give x. 2 Express (4 + 2*c**2 - 4)*(-24*c + 40*c + 33 - 19*c) in the form q*c**3 + t*c + v + o*c**2 and give q. -6 Express (7*b + 16*b - 4*b)*(0 + 4 - 2)*(15 - 11 + 15)*(2*b**3 - 4*b**3 + 6*b**3) as p*b**3 + g*b**4 + k*b + a*b**2 + t and give g. 2888 Rearrange -2 - 2*q**3 + q**4 + 10*q + 1 - 5*q**4 + 3*q to b*q**2 + o*q + g*q**4 + s + x*q**3 and give x. -2 Rearrange 19*f**2 - 44*f - f**3 + 44*f + 32 - 21*f**2 to u*f + h*f**2 + n*f**3 + m and give n. -1 Rearrange -f**2 + 1 - f**2 + 4*f**2 + (f + 4*f - 3*f)*(88*f - 668 + 668) to the form w*f + t*f**2 + o and give t. 178 Express (b**4 - b**4 - 2*b**4)*(-3 + 5 - 3)*(2 - 3 + 2 - 7 + 5 - 4 + (-5 + 0 + 4)*(3 - 1 + 0)) in the form n*b**2 + u*b**4 + l + p*b**3 + d*b and give d. 0 Rearrange 76 + 60 + 94*q - 139 to m + i*q and give m. -3 Express (3 + b - 3)*(4*b**2 + 2*b - b - 188 + 187) as r*b + w*b**3 + x*b**2 + u and give w. 4 Rearrange -8*w**4 - 9*w**2 + 34*w**2 - 15*w**2 + 1 - 4*w - 12*w**2 + 2*w to the form f*w + a*w**4 + s + i*w**3 + u*w**2 and give f. -2 Express (3*m**3 - m**3 - 4*m**3)*(-23*m + 2*m + m)*(4 - 1 - 1)*(-10 - 12 + 7)*(-2 - 3 + 4) as p*m + f*m**4 + b*m**2 + z*m**3 + h and give f. 1200 Express 21 + 205*h - 21 - 524*h in the form b*h + f and give b. -319 Express -103*o**3 + 5*o**3 - 1 - 170*o + 170*o as z + m*o**3 + p*o + i*o**2 and give z. -1 Rearrange 45*u**3 + u - u**2 + 0*u**4 + 2*u**2 + 2*u**4 + 35*u**3 - 3*u**4 to z*u + f*u**4 + s + a*u**3 + t*u**2 and give t. 1 Express 4*z**2 - 2*z + 2 - 8 + 2*z**4 - 2 + 6 - 4 as m*z**4 + r*z**3 + l*z + q + h*z**2 and give q. -6 Rearrange (-24 - 5 - 2)*(99*w**2 - 36*w**2 - 26*w**2) to the form d + s*w + r*w**2 and give s. 0 Rearrange (-4*y - 14*y - 45*y)*(-7*y**3 + 14*y**3 + 5*y**3) - 2*y**4 + 0*y**2 + 0*y**2 to q*y**4 + a*y + k + l*y**2 + o*y**3 and give q. -758 Express (-2*f - f + 4*f)*(12*f**3 + 66*f**3 - 241*f**3 + 43*f**3 - 237*f**3) in the form t*f + s*f**3 + w*f**4 + q*f**2 + b and give w. -357 Rearrange 181*p**2 - 36*p**2 + 535*p**2 - 71*p**2 to the form a + w*p + i*p**2 and give i. 609 Rearrange (-12 - 19 + 28)*(-3 + 4 - 3)*(u + 0*u + 0*u) - 10*u - 39*u - 4*u to the form r + s*u and give s. -47 Rearrange -m + 12*m**4 - 9*m**3 - 25*m**4 + 6*m**3 + 4*m**2 + 15*m**4 to the form t*m**3 + o*m**4 + z*m**2 + p*m + j and give p. -1 Express 4*b**4 - 44*b + 8*b**2 - 19*b**2 - 27 + 42*b + 13*b**2 as m*b + h*b**4 + l*b**2 + i*b**3 + r and give h. 4 Rearrange 69*b + 38*b + 60*b to the form l*b + z and give l. 167 Express 482*p + 119 - 886 - 483*p in the form d*p + s and give d. -1 Express 16*l**2 - 148*l - 18 + 20 + 146*l in the form f + o*l + b*l**2 and give
{ "pile_set_name": "DM Mathematics" }
rt(27))*-2)/(sqrt(45)/sqrt(5)*-5)). 95*sqrt(19)/48 Simplify (((-1*sqrt(80) + sqrt(80))/sqrt(2))/(sqrt(162)*2))/(((sqrt(240)*2)/sqrt(10))/(sqrt(6) + 2*sqrt(384) + sqrt(384))). 0 Simplify ((sqrt(130)*1*-4 + -3*(sqrt(130)*1 - sqrt(130) - sqrt(130)))*-1)/(-1*2*2*sqrt(10)*-6) + -3. -3 + sqrt(13)/24 Simplify 6*(-3*1*(sqrt(192) + (sqrt(192) + -2)*-3) + sqrt(192)*-1 + 2 + -3*sqrt(192) + 5)**2. -2112*sqrt(3) + 5334 Simplify 5*3*((sqrt(153) - (sqrt(153) + 0)**2) + 5 + (sqrt(153) + sqrt(153) + sqrt(153)*-5 + sqrt(153) + 3)**2). -495*sqrt(17) + 7095 Simplify ((6*((sqrt(825) - sqrt(825)*2) + sqrt(825))*-4)/(sqrt(324)/sqrt(3) + sqrt(30)/(-1*sqrt(10))))**2. 0 Simplify -1*(0 + (sqrt(176) - (sqrt(176) - ((sqrt(176)*4 - sqrt(176) - sqrt(176)) + sqrt(176))) - sqrt(176)) + -4 - -4*(sqrt(176) + 0)*-2)**2. -6352 - 192*sqrt(11) Simplify (-2 + (-3*(sqrt(68) + 1) - sqrt(68))*6)**2 - (2*(-2 + (0 + sqrt(17) - sqrt(17)) - sqrt(17)))**2*6*6. 1344*sqrt(17) + 36544 Simplify -2*((-5 + sqrt(153))*-1 - sqrt(153))*-1 + -6*(5*(sqrt(153) + -5 + sqrt(153))**2 + 4). -19124 + 1788*sqrt(17) Simplify (-2*(sqrt(88)*-3*-6)/(-6*sqrt(32) - sqrt(8))*1)**2 + 5. 15101/169 Simplify -4*(sqrt(468) + 2 + sqrt(468) + -1)**2 - (sqrt(13) - (-3*sqrt(13))**2*5 - (3 + -2 + sqrt(13))). -6906 - 96*sqrt(13) Simplify ((3 + 2 + sqrt(396) + -2 + 2*sqrt(396)*1)*-1)**2 + -3. 108*sqrt(11) + 3570 Simplify (sqrt(847) + (-3 + sqrt(847) + 2)**2)*-2*-2 - (sqrt(1694) - (sqrt(1694) + 3*sqrt(1694)))/((sqrt(24)/sqrt(2))/sqrt(6)). -11*sqrt(7) + 3392 Simplify (2 + ((sqrt(1300) + -3 + sqrt(1300))*-6)**2)*2 + 4 + 2. -8640*sqrt(13) + 375058 Simplify ((sqrt(68)/sqrt(4)*-6 - (sqrt(136)*-1)/sqrt(8) - (-3 + sqrt(51)/(sqrt(3) + (sqrt(3) - sqrt(18)/sqrt(6)) + sqrt(3) + sqrt(3)))) + 5)**2*-4. -19712/9 + 1024*sqrt(17)/3 Simplify ((sqrt(18) - sqrt(72)/sqrt(4))*4 - ((5*(sqrt(8) + sqrt(32)) + sqrt(8))/sqrt(4))**2) + -5 + 5. -512 Simplify (((sqrt(224)*-2)/sqrt(4) - (3*sqrt(2016) + sqrt(2016)))/(1*sqrt(72)*-4*-3))**2. 1183/324 Simplify -6*(sqrt(405)*4 + 1) - (-2*(-1*sqrt(720) - sqrt(720)) + (-4*(2 + sqrt(720)) - sqrt(720)))**2. -408*sqrt(5) - 790 Simplify ((sqrt(60)/sqrt(150) - sqrt(10))/sqrt(5)*-4)**2 - (1 + (sqrt(288) - 2*sqrt(288)) + 0 + sqrt(288) + -5)**2. 112/25 Simplify -2*(sqrt(1008) + sqrt(1008) + (sqrt(1008) - (sqrt(1008) + -3*(sqrt(1008) + 0))**2)) - (sqrt(112) + -1 + sqrt(112) + (sqrt(7) + 2)*1). -81*sqrt(7) + 8063 Simplify -4*(3 + 0 + -2*sqrt(1216) + (1 + -3*sqrt(1216)*-4)**2)*-2. 1408*sqrt(19) + 1400864 Simplify -4 + (sqrt(1617)*2)/(sqrt(21)/(sqrt(7)*1)) + (sqrt(396)*3 - 5*(1 + sqrt(11)))**2. -116*sqrt(11) + 1880 Simplify ((-6*sqrt(104)*-2)/(-5*sqrt(32)))**2 + -2*(sqrt(13) - (sqrt(117)/(sqrt(63)/sqrt(7)) + sqrt(13)))*6 + 5. 593/25 + 12*sqrt(13) Simplify (sqrt(6480) + -3 + sqrt(6480)*2 + sqrt(6480) + -5 + sqrt(2880) + 0)**2 + -4 + -3. -2688*sqrt(5) + 141177 Simplify (5*(1 + sqrt(500)) - (4 + 2 + sqrt(500)))*1 - (sqrt(500) + 5 + -4 - (sqrt(500)*-1 + 0 - sqrt(500)))**2. -4502 - 20*sqrt(5) Simplify -2*sqrt(448) + -4 - (6*-1*sqrt(448))**2 - (2 + ((-2*sqrt(420))/sqrt(12) - sqrt(35))/((sqrt(55)*2)/sqrt(11))). -16134 - 29*sqrt(7)/2 Simplify (sqrt(153) + sqrt(153) + -5*sqrt(153)*1 - ((sqrt(153)*-1 + sqrt(153) - sqrt(153))*-6 + sqrt(153) - sqrt(153)))/(4*-1*sqrt(324)*-2). -3*sqrt(17)/16 Simplify 6*(((sqrt(136) - (sqrt(136)*-1 + sqrt(136)))*-3)/(sqrt(72)/(-2*sqrt(9)) - sqrt(8)) - (3 + sqrt(1700)*-1*1)). -18 + 72*sqrt(17) Simplify (2*(-3 + (sqrt(304) + -1 - sqrt(304)) + (sqrt(304) - -4*(sqrt(304) + sqrt(304)*3 + sqrt(304) + sqrt(304))))*5)**2. -80000*sqrt(19) + 19001600 Simplify (2*-1*(3 + 0 + sqrt(2) + (sqrt(2) - sqrt(98)*5) + 5))**2*1*-5. -44840 + 10560*sqrt(2) Simplify (sqrt(33)/(sqrt(12)/sqrt(4)) - 2*sqrt(22)/sqrt(2) - -4*(sqrt(11) + (sqrt(1584) - -2*sqrt(1584)) - (1 + sqrt(11) + -4 + sqrt(11))))**2*-5. -1063375 - 16680*sqrt(11) Simplify 4 + ((sqrt(140)*2 + sqrt(140))*-4)/sqrt(7) + (2*sqrt(2880) + sqrt(2880))/(sqrt(576) + -1*sqrt(576) + sqrt(576)). -21*sqrt(5) + 4 Simplify -5*(sqrt(448) + -1 - (sqrt(63))**2*4 - ((sqrt(63) - (sqrt(63) - (-1*sqrt(6300) + sqrt(63))))/(-2*sqrt(1089)))**2). -40*sqrt(7) + 615095/484 Simplify (sqrt(3) + (-1*sqrt(12)/sqrt(4) - sqrt(3)) - 2*sqrt(3)*-2) + 1 + -5 + -3*sqrt(3)*2 + (sqrt(6)/sqrt(2) + sqrt(3))**2*3. -3*sqrt(3) + 32 Simplify -1 + (-1 + 5 + 0 + (4*(sqrt(242) - (-1 + sqrt(242))) + sqrt(242))**2)*6 + 0. 528*sqrt(2) + 1571 Simplify ((sqrt(133) - -1*-1*sqrt(133)) + 5*-1*sqrt(133) + sqrt(133))/(-2*sqrt(252)*-2). -sqrt(19)/6 Simplify (1*((sqrt(1216) + -1*sqrt(1216)*-6 + sqrt(1216) - sqrt(1216)) + -2) + -2*((0 + sqrt(1216))*-4 + -1))**2*-3. -820800 Simplify ((sqrt(68)/sqrt(4) + -3 - -3*sqrt(34)/sqrt(2)) + (-1*(sqrt(187) + -2*sqrt(187)))/((sqrt(176) - (sqrt(176) + sqrt(176)*2 + sqrt(176))) + sqrt(176)))**2. -93*sqrt(17)/4 + 16913/64 Simplify (3 + -3 + (sqrt(84)/sqrt(3))**2*-3 + 4*sqrt(112)/sqrt(4) + (sqrt(2800) + 0 + sqrt(2800))*-1)*1. -32*sqrt(7) - 84 Simplify (1*(sqrt(72) + -6*sqrt(2)*-3 + sqrt(2)) - (3 + sqrt(8) + 0 + -1 + -4))**2. 92*sqrt(2) + 1062 Simplify (-2 + (-1*6*(sqrt(85) - -1*sqrt(85)*6 - sqrt(85)))/((-2*-2*sqrt(45) + sqrt(45))/(sqrt(81)/(1*sqrt(9)))))**2. 144*sqrt(17)/5 + 22132/25 Simplify (-2 + 2*(5 + (sqrt(1100) - (sqrt(1100) + sqrt(1100)*-4 - sqrt(1100))) - ((sqrt(1100) - (sqrt(1100) + 4)) + 0))*-1 + -5)**2. 5000*sqrt(11) + 110625 Simplify (6*sqrt(52)/sqrt(2) + sqrt(26) + 3*sqrt(208)/sqrt(8))/(sqrt(50)*3*6*6). sqrt(13)/54 Simplify (5 + -1 + ((1*(sqrt(243) + 2) - sqrt(243)) + 5*(2 + sqrt(243)) + 2)*2)**2. 5760*sqrt(3) + 25324 Simplify -2 + -1*(-5*(sqrt(99) + -2) + sqrt(99) + 1 + 4) + -5. -22 + 12*sqrt(11) Simplify (sqrt(33) + 2*sqrt(66)/sqrt(2) - sqrt(33))/(sqrt(15)/sqrt(5)*1 + sqrt(3)) + -4*-5*(1*sqrt(11) + 1)*1. 20 + 21*sqrt(11) Simplify ((-1 + sqrt(72)*2 - 4*(0 + sqrt(72))) + 2 + sqrt(72)*2 + 3)**2*-6*5. -480 Simplify (-2 + ((sqrt(396) + -1)*-5 + sqrt(396))*-6 + (2*-2*sqrt(121) - sqrt(121) - sqrt(121))/(4*sqrt(176)))**2. -9192*sqrt(11) + 14587747/64 Simplify (((sqrt(5) - sqrt(80)/sqrt(4))*3 + 1 - (-3 + -6*5*sqrt(5)*-1)) + -3)**2. -66*sqrt(5) + 5446 Simplify ((-1 + (-2*sqrt(44) + 1 + sqrt(11) + 2 - sqrt(99)/(6*(sqrt(441) + sqrt(9)))) + 0)*1)**2. -145*sqrt(11)/12 + 240491/2304 Simplify ((sqrt(209)/(sqrt(11) + sqrt(33)/sqrt(3)) + 0)**2 + 2 + (((sqrt(152)*1)/sqrt(8))**2 - (1 + sqrt(95)/sqrt(5))**2))*6. -12*sqrt(19) + 69/2 Simplify 1 + 0 + (sqrt(2160)*2*-5)/((sqrt(55) + sqrt(110)/sqrt(2))/sqrt(11)*2). -30*sqrt(3) + 1 Simplify ((6*sqrt(72)*-1 + -5 + -3)*4)**2 + -3 + -4. 9216*sqrt(2) + 42489 Simplify 5 + 0 + (2*sqrt(112)*2 + sqrt(14)/((sqrt(20)/sqrt(5))/sqrt(2)))**2. 2028 Simplify (-2*((3*-1*sqrt(270))/(sqrt(160)/sqrt(4) + sqrt(10)) - (sqrt(135)/(sqrt(80)/sqrt(4)) + 1)))**2. 36*sqrt(3) + 247 Simplify 3*(6*(sqrt(49) + sqrt(588)/sqrt(48) - sqrt(490)/(sqrt(30)/sqrt(3))))/((-1*sqrt(784))/(sqrt(112)*-2 - sqrt(112))). 27*sqrt(7) Simplify ((sqrt(27)/sqrt(48))/(5*sqrt(15)/sqrt(5)) + (sqrt(27)*-6 - (sqrt(18)/sqrt(6) + -3)))**2. -1137*sqrt(3)/10 + 434523/400 Simplify (2 + -5 + sqrt(1300) + (4 + sqrt(1300))*4 + sqrt(1300) + 4)**2*-3. -141267 - 6120*sqrt(13) Simplify ((-1*sqrt(3600) - -2*sqrt(576))/(sqrt(972)*1*-4*-2)*1)**2. 1/432 Simplify 5*((sqrt(5) + (sqrt(5) + 1 - sqrt(5)) + -1)**2 + sqrt(500) + (sqrt(50)/sqrt(2))/sqrt(5) + (sqrt(200)/sqrt(10))**2). 55*sqrt(5) + 125 Simplify -5 + 2 + -3 + -5 + 0 + sqrt(8) + ((2*sqrt(350))/sqrt(7) + sqrt(50))**2 + sqrt(50) + 2 + (sqrt(242) + 0 - sqrt(242))**2 + sqrt(2). 8*sqrt(2) + 441 Simplify -2*(3*(3*((sqrt(833) - -6*sqrt(833)*1) + -4)*-3 + -3))**2. -59530788 + 523908*sqrt(17) Simplify ((sqrt(612) - (1*sqrt(612) + 5)) + -1 + ((sqrt(119)*-1 + sqrt(119))/sqrt(7) + 3)*-4)**2*-1. -324 Simplify (-4 + ((sqrt(1216) + sqrt(1216) + -1*sqrt(1216) + 2)*-3)**2 + (sqrt(1216) + -1 + sqrt(1216))*1 + ((1 + sqrt(1216) - sqrt(1216)) + 1)**2)*-1. -10979 - 304*sqrt(19) Simplify (5*(-3 + 3*(1 + sqrt(99))) - -3*(-5 + sqrt(99) + 0 - (sqrt(99)*-1 + 4)))**2*-6. -266328 + 20412*sqrt(11) Simplify (-1 + sqrt(55)/(sqrt(275) + 1*sqrt(275)))*4 + 4 + (sqrt(1440)*-2 + sqrt(1440))/sqrt(2) + -1. -58*sqrt(5)/5 - 1 Simplify (sqrt(90)*-2*-4)/(sqrt(360)/(sqrt(8) - (sqrt(8) + 2*sqrt(8))))*5. -80*sqrt(2) Simplify ((1 + (sqrt(72)*-1 + -3 - (4*2*sqrt(72) - sqrt(72)) - ((sqrt(72) - (-2*sqrt(72) + 4)) + 2)
{ "pile_set_name": "DM Mathematics" }
+ s**3 + 2*s**3). 1398*s**5 Expand 21 - 21 - 7*o - 2*o + 0*o + o + (-4 + 1 + 2)*(2*o - o - 3*o). -6*o Expand -2 + 2 + j**2 + (1 + 2 - 1)*(-5*j**2 + 2*j**2 + j**2) + 2*j**2 - 3*j**2 + 0*j**2 - 7*j**2 + 3*j**2 + 2*j**2 + 5*j**2 + 1 - 3 - 27*j**2. -28*j**2 - 2 Expand (-2*j**2 - 2*j**2 + 6*j**2)*(-j + j + j) + (-j + 3*j - 5*j)*(j**2 - 6*j**2 - 5*j**2). 32*j**3 Expand ((3 - 1 - 3)*(-1 + 1 - 2) - 4 + 1 + 2)*(1 - 4 + 4)*(8*s - 3*s - 2*s)*(4073*s**2 - 4073*s**2 - 140*s**3). -420*s**4 Expand 2*z**2 - z**2 + 0*z**2 + (-z - 5*z + z)*(6*z - 16*z - 12*z). 111*z**2 Expand (4*f**2 + f**2 - 6*f**2)*(317 - 317 + 153*f**2). -153*f**4 Expand (3 + 2 - 4)*(-2*p**2 + 4 - 4) - 3*p + 3*p + 3*p**2 + 6*p**2 - p**2 + p**2 + 0*p**2 + p**2 - 3*p**2 + (5 - 1 - 6)*(1 - 1 + p**2). 3*p**2 Expand (-5 + 2*q**2 + 5 - 4)*(-17*q + 6*q - 5*q)*(3*q - 5*q + 0*q). 64*q**4 - 128*q**2 Expand 0*t**3 + t**3 - 24*t**3 + (11*t + 6*t - 10*t)*(-3*t**2 + 3*t**2 + t**2). -16*t**3 Expand (2*m + 0 + 3 - 2)*(20 + 44 + 4). 136*m + 68 Expand (-3*g - g + 2*g)*(-1 + 1 - 1)*(-50 + 23 + 31). 8*g Expand (-3*l - 4 + 2*l + 3)*(406 - 406 - 6*l**2). 6*l**3 + 6*l**2 Expand (-1 - v**2 + 1)*(7*v - 4*v - 2*v) + v**3 + 0*v**3 + v**3 + (3*v**2 - 2*v**2 + v**2)*(v + 0*v + v). 5*v**3 Expand (-1 + 0 + 2)*(-10*r - 10*r + 39*r)*(-3 + 2 - 9)*(2*r - 3 + 3). -380*r**2 Expand (-v + 0 + 0)*(6*v**3 - 2 + 17*v**2 + 63*v**2 + 5*v**2). -6*v**4 - 85*v**3 + 2*v Expand (4*r - 4*r + 3*r**4)*(315*r - 322*r + 2 - 4). -21*r**5 - 6*r**4 Expand (-7*p**3 - 27*p**3 - 7*p**3)*(-4*p + 0*p + 0*p). 164*p**4 Expand (-187 - 212 + 532)*(-2*q**2 + q**2 + 4*q**2). 399*q**2 Expand (2 - 2 + 1)*(-6*b**2 + 6*b**2 + 3*b**3) - b - 21*b**3 + 23*b**3 + 3*b. 5*b**3 + 2*b Expand (0*v - 2*v + v)*(-6 + 5 - 2)*(v - v - 2*v). -6*v**2 Expand (7 - 1 - 4)*(272 + 308*r - 273 + 611*r). 1838*r - 2 Expand (-1518 - 75*z**4 + 1518)*(-1 + 1 + 1). -75*z**4 Expand (3*a + 1 - 1 + (-a - 3*a + 3*a)*(2 - 1 - 3))*(18 + 11*a - 13*a + 0*a). -10*a**2 + 90*a Expand (-26*i + i + 7*i)*((-3 - 4 + 5)*(2 - 4 - 1) + 36 - 19 - 2) + 3 - 3 - i. -379*i Expand (3*w - 1 + 0 - 4*w)*((-3*w**2 - 2*w + 2*w)*(2*w + 2*w**2 - 2*w) + (w**2 + 2*w - 2*w)*(5*w**2 + 12*w**2 - 23*w**2) + 2*w**4 + w - w). 10*w**5 + 10*w**4 Expand (-4 - 10 + 4)*(-36*v**3 + 15*v**3 - 6*v**3). 270*v**3 Expand (-5 + 3 + 0)*(-13*v - 5*v - 9*v). 54*v Expand 2*n - 3*n - 2*n + (17 + 3 + 2)*(n + 3 - 3) + (-2 - 2*n + 2)*(5 - 2 - 4) - 2*n - 4*n + 5*n - n + 2*n + n. 22*n Expand (109*g**2 + 59*g**2 - 91*g**2 + 136*g**2)*(-2*g**2 + 0*g**2 + 5*g**2). 639*g**4 Expand (-3*u**2 + 3*u**2 - 2*u**2 + (-2*u + 5*u - 2*u)*(u + 4*u - 6*u) - 2*u**2 - 6*u**2 - u**2 - 2*u**2 + 2*u**2 - 2*u**2)*(u - 2*u + 3*u)*(-u**2 + 1 - 1). 28*u**5 Expand (-4*o**3 + 4*o**3 + 2*o**3)*((-o + 2*o + o)*(1 - 3 + 1) + 15*o + 44 - 44). 26*o**4 Expand 63*k**5 + 2*k**5 + 29*k**5 - 3*k**5 + 0*k**5 + 4*k**5 - k**5 - 4*k**5 + 4*k**5 + (-k**3 - 3*k**3 + 2*k**3)*(2*k**2 + 2 - 2) - k + k - k**5. 89*k**5 Expand (4 - 4 + 5*i)*(6*i + 4*i - 4*i)*(-4*i + 4*i - 2*i). -60*i**3 Expand 0*d**3 + 0*d**3 - 2*d**4 + (6*d**3 - 6*d**3 + 3*d**4)*(-5 - 3 + 0). -26*d**4 Expand -8*l - 3*l + 4*l + 0 + 2*l + 0 + (-l + 0*l + 3*l)*(0 + 0 + 1). -3*l Expand (g - 4*g + 4*g - 4*g - g + 3*g + (-1 - 3 + 3)*(1 + 2*g - 1) + g - 3*g + g + 2 - 3*g - 6*g + 6*g - 2 + g + 2)*(0*g + 0*g + 8*g**2). -48*g**3 + 16*g**2 Expand (0*w**3 - 9*w**3 + 3*w**3 + (-3 + 3 - w)*(-2*w - w**2 + 2*w))*(-1585*w + 48*w**2 + 1585*w). -240*w**5 Expand (0 + 2 - 4)*(-488*p - 51*p**5 - 490*p + 978*p). 102*p**5 Expand (0*d - 2*d + 3*d)*(-115*d + 39*d - 26*d)*(-3*d - 4*d + 5*d). 204*d**3 Expand -2 + 2 - x + (4 - 2 - 1)*(x + 3*x - 2*x) + 3*x - x + 0*x + (2 - 3 - 1)*(-598*x - 15884 + 15884) + (0*x + 2*x - x)*(2 - 3 + 2). 1200*x Expand -4*a**4 - 7*a**2 + 9*a**2 - a**4 + a + 3*a**4 - 2*a**4 - 2*a**4 + 0*a**3 + 0*a**3 + a**4 + (-1 + 2*a**2 + 1)*(-a**2 + a - a). -7*a**4 + 2*a**2 + a Expand (-z + z - 2*z**2)*((-3*z + 3*z + z**3)*(-5 + 1 + 2) + (0 + 2 - 1)*(-57*z + 53*z**3 + 57*z) + 3*z**2 - z**3 - 3*z**2 + 0*z**3 - 3*z**3 + z**3). -96*z**5 Expand (460*f - 381*f + 596*f)*(4 - 1 - 2)*(0 + 0 + 2*f**3). 1350*f**4 Expand (69*u - 35 + 21 + 14)*(-5*u + u + u). -207*u**2 Expand (116 + 25*t**3 - 116)*(3 + 4 - 4 + 3 + 0 - 5 + (-3 + 4 - 3)*(3 - 1 - 4) + 4 - 1 - 1 - 2 + 2 + 1). 200*t**3 Expand (8*y - 6*y + 9*y)*((2*y**3 - 2*y**3 - y**3)*(0 + 2 + 0) + (0*y**2 - y**2 - 4*y**2)*(44*y - 40*y + 0 - 1)). -242*y**4 + 55*y**3 Expand -q**4 + 0*q**4 + 3*q**4 + (q**3 - 2*q**3 - q**3)*(1 + 2*q - 1) + (-5 + 5 - 2*q**2)*(-1465*q**2 + 1892*q**2 - 1220*q**2)*(2 + 1 - 1). 3170*q**4 Expand (37*r + 26*r + 125*r)*(2*r**2 + r**2 - r**2) - 3*r**3 + 2*r**3 - r**3. 374*r**3 Expand (-6*h + 25 - 25 + 5*h - 2*h - 5*h + 2*h + h - 5*h + (-5 + 2 + 5)*(-4*h + 3*h + 0*h))*(-9*h**2 - 4*h**3 + 10*h**2 + 7*h**3). -36*h**4 - 12*h**3 Expand (-25*x**2 + 25*x**2 - 7*x**5)*(-3 - 1 + 2) + 0*x**5 - x**5 + 5*x**5. 18*x**5 Expand (-2 + 5 - 1)*(-4 - 1 + 1)*(-2 + 3 - 3)*(-107*d**2 - 25*d**5 + 107*d**2). -400*d**5 Expand 137*f**4 - 154*f**2 + 154*f**2 + (2*f + 2*f**4 - 2*f)*(0 + 4 - 1) - 4*f**3 + 4*f**3 - f**4. 142*f**4 Expand (177*l - 66406 + 66406)*(4 - l**2 - 4) + (2 - 4 + 0)*(-3*l**3 + 4*l**3 + l**3). -181*l**3 Expand (0*l**2 - 4*l**2 + l**2)*(-111*l - 20626 + 20626). 333*l**3 Expand (2*i**2 - 2 + 2 + 2*i**2 + i**2 - 2*i**2 + (i + 2*i - i)*(-3*i + 5*i + 0*i) - i**2 - i**2 + 11*i**2)*(0 + 38*i - 34*i - 2). 64*i**3 - 32*i**2 Expand (1 - 1 + 5*m)*(3 + 2 - 6)*((10*m - 12*m + 7*m)*(1 - 1 + 1) + 2*m - m + 2*m). -40*m**2 Expand (2625*h**2 + 30*h + 2 - 1311*h**2 - 1310*h**2)*(-h**3 + h**2 - h**2). -4*h**5 - 30*h**4 - 2*h**3 Expand (-3*m + 6*m - m)*(-2*m - 4*m + 5*m) + (-2*m + 5*m - m)*(-90*m + 2086*m + 588*m). 5166*m**2 Expand (j**2 + 2 - 2)*(0*j + 2*j - j) + 43*j**3 - 133*j**3 - 2128 + 2129. -89*j**3 + 1 Expand (-24 - 21*z + 24)*(26*z - 295 + 295). -546*z**2 Expand (0*s + 2*s - s)*(-1 - 6*s + 1)*(262 + 11 - 30). -1458*s**2 Expand 4*h + 11*h - 3*h - 9*h + 6*h - 12*h + (0 - h + 0)*(2 + 0 + 0). -5*h Expand (-3088*b**2 + 6312*b**2 - 2454*b**2)*(-3 + 3 + b). 770*b**3 Expand (-y - 3*y + 5*y)*(5 - 1 - 5) - y - 3 + 3 - 105*y + 217*y - 156 - 111*y. -y - 156 Expand (-3 + 0 + 2)*(12*y + y + 13*y)*(37 - 9*y - 37). 234*y**2 Expand (2917 - 2917 + 138*k)*(0 + 2 + 0) + 0*k + 2*k - 3*k + 3 - 3 + 2*k + (-1 - 2*k + 1)*(2 + 4 - 4) + 3*k + k - 5*k - k - k - k. 269*k Expand (-v + 2*v**2 + v)*(-v + 18*v - 31*v)*(-1 - 4 + 4). 28*v**3 Expand (2 + 6 + 16 + 10*z + 18)*(-z**2 + 0*z**2 - z**2). -20*z**3 - 84*z**2 Expand (-6*y**2 - 4*y**2 + y**2)*(0 + 3*y**3 + 0) - 4*y**2 + 2*y**2 + 0*y**5 + 2*y**5. -25*y**5 - 2*y**2 Expand 2*r**3 - 2*r**3 - 2*r**3 + (-2 + 2 - 5*r**3)*(1 + 1 + 0)*(-2 + 4 + 0). -22*r**3 Expand (-3*r + 3*r - 4*r)*(-1 + 4 - 1)*(0 + 0 + r)*(-2*r + r - 5 + 41). 8*r**3 - 288*r**2 Expand -12 + 12 + 2*f**3 + (f + 4*f - 4*f)*(-3 + f**2 + 3) - 8*f**3 - 5*f**3 + 5*f**3. -5*f**3 Expand 144 - 144 - 16*w**4 + (6*w**3 - 2*w**3 - 3*w**3)*(2*w - 2*w - w) - 4*w**4 + w**4 + 6*w**4 + (0 + 0 - 3*w)*(-w**3 + 0*w**3 + 2*w**3). -17*w**4 Expand (-2 + 1 + 0)*((-3*i**3 - 2*i**3 + 2*i**3)*(-7*i - 18*i**2 + 7*i) - i**5 - 4*i**5 + 4*i**5). -53*i**5 Expand (-15*w + 19*w + 8*w)*(-1 + 1 + 3)*(w + w - 3*w). -36*w**2 Expand -1 - 3*g**3 + 1 + (g + g - g)*(-2*g - 3*g**2 + 2*g) + (8*g - 5*g + 6*g)*(0*g**2 + 2*g**2 - 4*g**2). -24*g**3 Expand (2 - 2 + s)*(5*s - s - 3*s) + (-2*s - 2*s + s)*(-10 - 11 - 21)*(-s - 4*s + 4*s). -125*s**2 Expand (-u + 13*u + 15*u)*(5*u - 3*u + 0*u)*(-u**3 - u**3 - u**3). -162*u**5 Expand (4*h - 2*h - 4*h)*(-42 + 40 - 20)*(1 + 5 - 5). 44*h Expand -4*g**2 - 3*g**2 + 5*g**2 + (2 - 2 + g)*(-2*g + 2*g + 2*g) - 10*g**2 + 47 - 47 + (3 - 1 - 4)*(-6*g**2 + g**2 + g**2). -2*g**2 Expand ((5 - 4 + 2)*(-3 + 2 - 8) - 4 + 4 - 5)*(3*x + x - 3*x). -32*x Expand (-4*h**2 + 13*h**2 + 24*h**2)*(h**3 - 4*h**3 + 2*h**3) - h**3 + h**5 - h**3 - 2*h**5 + h**5 + 3*h**3 - 3*h**3. -33*h**5 - 2*h**3 Expand (2*b - 2*b + 2*b + (6*b - 4*b - 4*b)*(2 - 1 - 3) + 4*b - 2*b + 0*b + 139*b + 650*b + 720*b)*(-b**2 + b**2 - 2*b**2). -3034*b**3 Expand 0*u**2 - u**2 + 3*u**2 + (-4*u**2 + 5*u**2 + 2*u**2)*(1 + 4 + 6) + u**2 + 2*u**2 + 0*u**2. 38*u**2 Expand (9*s - 2*s + 0*s)*(s**2 - s**2 + s**2) - s**3 + 5*s - 8*s - s**3. 5*s**3 - 3*s Expand ((5*g**2 - 4*g**2 + 0*g**2)*(4*g +
{ "pile_set_name": "DM Mathematics" }
False Does 128 divide 157952? True Is 253175 a multiple of 41? True Does 155 divide 4572065? False Is 6 a factor of 26139? False Is 94 a factor of 443868? True Is 2274 a factor of 22855809? False Does 11 divide 2977271? True Is 7 a factor of 254732? False Is 717381 a multiple of 7? True Does 19 divide 38551? True Is 10 a factor of 11182713? False Is 400 a factor of 406000? True Is 3563 a multiple of 7? True Is 876534 a multiple of 10? False Is 767 a factor of 847211? False Is 260625 a multiple of 25? True Is 306 a factor of 404532? True Is 21432 a multiple of 114? True Is 1688120 a multiple of 140? True Is 10123232 a multiple of 1051? True Does 67 divide 846699? False Is 1928 a factor of 13072335? False Is 580838 a multiple of 32? False Is 9 a factor of 34161? False Is 570 a factor of 1488180? False Does 45 divide 998840? False Is 1720520 a multiple of 9? False Does 8 divide 154017? False Is 13 a factor of 41746? False Is 274432 a multiple of 268? True Does 34 divide 16082? True Does 28 divide 238151? False Is 30443 a multiple of 6? False Is 38 a factor of 3664049? False Is 8 a factor of 61320? True Does 63 divide 1908249? False Is 87774 a multiple of 10? False Is 252 a factor of 1157335? False Does 107 divide 243790? False Does 46 divide 298310? True Is 372 a factor of 576030? False Is 98636 a multiple of 29? False Is 124 a factor of 2121807? False Is 768180 a multiple of 465? True Is 1510776 a multiple of 72? True Does 117 divide 2114464? False Is 300888 a multiple of 63? True Does 32 divide 39342? False Is 118 a factor of 637810? False Is 1790 a factor of 2133680? True Does 486 divide 2707020? True Is 84822 a multiple of 67? True Is 306735 a multiple of 96? False Is 63818 a multiple of 3? False Is 697545 a multiple of 27? True Does 57 divide 59226? False Does 25 divide 25701? False Is 88803 a multiple of 27? True Is 64 a factor of 2302784? True Is 275 a factor of 1361140? False Is 107811 a multiple of 620? False Is 25803987 a multiple of 18? False Does 220 divide 943800? True Does 6 divide 1032828? True Is 14 a factor of 98740? False Does 38 divide 85582? False Is 17 a factor of 403213? False Is 983489 a multiple of 277? False Is 31 a factor of 351019? False Is 149 a factor of 5166426? True Is 5172327 a multiple of 185? False Does 606 divide 119988? True Is 272885 a multiple of 565? False Does 21 divide 1142862? True Is 15 a factor of 363859? False Does 11 divide 62018? True Is 929250 a multiple of 750? True Is 5324135 a multiple of 7? False Is 3 a factor of 32897? False Is 657492 a multiple of 374? True Is 49 a factor of 1781836? True Does 6 divide 76284? True Does 12 divide 1077528? True Is 219963 a multiple of 31? False Is 724041 a multiple of 256? False Does 12 divide 686400? True Does 44 divide 674345? False Does 343 divide 1012629? False Does 6 divide 1340028? True Does 583 divide 5912006? False Does 369 divide 82748? False Is 12007512 a multiple of 22? True Is 361 a factor of 708089? False Does 12 divide 83328? True Does 4 divide 11222? False Is 14 a factor of 439992? True Is 5 a factor of 99055? True Does 5 divide 36786? False Is 624151 a multiple of 28? False Is 33 a factor of 754347? True Does 603 divide 4438683? True Is 97 a factor of 70034? True Is 1770976 a multiple of 327? False Does 447 divide 121584? True Is 373620 a multiple of 12? True Does 994 divide 11439915? False Does 21 divide 56912? False Is 55 a factor of 82665? True Is 172331 a multiple of 7? False Does 16 divide 12578288? True Is 64419 a multiple of 8? False Is 33 a factor of 185757? True Does 104 divide 4950371? False Is 1841873 a multiple of 11? True Does 6 divide 622932? True Is 1644614 a multiple of 12? False Is 13355 a multiple of 4? False Is 66 a factor of 3218045? False Is 679 a factor of 22757364? True Is 291 a factor of 4947? True Is 10 a factor of 7563021? False Does 37 divide 1053205? True Is 158122 a multiple of 249? False Is 11922205 a multiple of 1866? False Does 3 divide 136223? False Is 5008 a multiple of 313? True Does 42 divide 1351860? False Does 12 divide 787248? True Does 12 divide 981984? True Does 22 divide 470338? True Is 19 a factor of 1187614? True Is 25 a factor of 3421100? True Is 1034348 a multiple of 106? True Is 205596 a multiple of 6? True Does 172 divide 5078988? True Does 54 divide 35208? True Does 16 divide 133008? True Does 22 divide 4058186? True Is 13 a factor of 608725? True Is 38 a factor of 799292? True Is 752391 a multiple of 33? False Is 19 a factor of 7106? True Does 92 divide 253460? True Is 3455034 a multiple of 100? False Is 33 a factor of 6870117? False Is 152 a factor of 19860? False Does 25 divide 5923475? True Does 14 divide 249196? False Does 37 divide 6729478? False Is 5 a factor of 173010? True Is 20968 even? True Is 14 a factor of 66854? False Is 48 a factor of 2929536? True Does 3 divide 28476? True Does 14 divide 69062? True Is 75 a factor of 264450? True Is 54 a factor of 522882? True Is 18 a factor of 1311473? False Is 117708 a multiple of 34? True Is 93442 a multiple of 14? False Is 234 a factor of 379881? False Does 9 divide 40552? False Is 78 a factor of 1285671? False Is 4110016 a multiple of 862? True Does 8 divide 701600? True Does 171 divide 313614? True Is 2 a factor of 159110? True Is 20 a factor of 2016517? False Is 257676 a multiple of 35? False Is 5 a factor of 1179416? False Is 9970369 a multiple of 9? False Is 8 a factor of 1099052? False Does 6 divide 90537? False Is 17 a factor of 160412? True Is 14 a factor of 2665465? False Does 58 divide 434288? False Is 10 a factor of 17550? True Is 187872 a multiple of 273? False Is 81 a factor of 277429? False Is 53 a factor of 257527? True Does 45 divide 2828970? True Does 58 divide 26320? False Is 299374 a multiple of 362? True Is 77 a factor of 28146195? True Is 90 a multiple of 5? True Is 48 a factor of 1355039? False Does 23 divide 5251544? True Does 227 divide 202257? True Does 26 divide 2724089? False Is 94 a factor of 2055661? False Is 95102 a multiple of 60? False Is 122840 a multiple of 299? False Is 26 a factor of 38500? False Is 37 a factor of 966662? True Is 14 a factor of 6284536? False Is 10 a factor of 663951? False Is 17 a factor of 2245855? False Does 16 divide 6522924? False Is 187 a factor of 1861771? False Is 444 a factor of 690760? False Does 114 divide 475608? True Is 24 a factor of 4925952? True Is 282971 a multiple of 130? False Is 3286971 a multiple of 102? False Is 2005 a multiple of 91? False Is 28376 a multiple of 6? False Is 11736944 a multiple of 375? False Is 20 a factor of 1207197? False Is 94137 a multiple of 80? False Is 10 a factor of 222239? False Is 7 a factor of 102564? True Is 4696857 a multiple of 1089? True Does 510 divide 24677880? True Is 239088 a multiple of 997? False Does 1439 divide 2657645? False Does 11 divide 1284536? True Is 112359 a multiple of 67? True Is 76 a factor of 180272? True Is 642558 a multiple of 145? False Is 110257 a multiple of 8? False Is 406 a factor of 273544? False Is 15716256 a multiple of 62? True Is 19 a factor of 201306? False Is 17 a factor of 11200359? False Is 234516 a multiple of 29? False Is 4 a factor of 27512? True Does 902 divide 638616? True Is 4 a factor of 109239? False Does 137 divide 5125397? False Does 86 divide 231102? False Does 18 divide 30884? False Is 19 a factor of 122345? False Is 29244 a multiple of 197? False Is 251680 a multiple of 520? True Does 232 divide 334181? False Is 51585 a multiple of 15? True Is 44 a factor of 269417? False Does 15 divide 449036? False Does 29 divide 5921570? False Is 18 a factor of 12803? False Is 478855 a multiple of 139? True Is 295701 a multiple of 10? False Is 10374 a multiple of 273? True Is 12 a factor of 494392? False Does 9 divide 1384? False Is 9213379 a multiple of 611? False Does 34 divide 252638? False Is 216533 a multiple of 321? False Does 9 divide 35298? True Is 389344 a multiple of 368? True Is 20 a factor of 201460? True Is 63 a factor of 475484? False Is 64 a factor of 159967? False Does 1015 divide 18113630? False Is 517920 a multiple of 60? True Is 241 a factor of 456454? True Does 23 divide 261576? False Is 5978784 a multiple of 434? True Is 253 a factor of 429391? False Is 150008 a multiple of 68? Tr
{ "pile_set_name": "DM Mathematics" }
et f = -1175.9 - -1250. Is f less than 2/3? False Suppose -2*q + 57 = -249. Is 151 smaller than q? True Let f = 33.19 - 33. Let c = -0.39 + f. Let y = 0.1 + c. Is y at least as big as 1.5? False Suppose -4*l - 16 = 4*f - 4, 0 = -2*f + 2*l + 6. Is f at least 353? False Let p = -35 - -16. Let b be (-4)/10*(-5)/p. Is 0 less than b? False Let m = 27358/23 + -1190. Which is greater: -1 or m? m Let n = 216 - 434. Is -216 at least n? True Let f = 28 - 11. Let m = f - 16. Suppose -5*q + 10 = -20. Which is smaller: m or q? m Let t be 9 + 10 + -21 + 24. Is 8 < t? True Let k = -0.1 + 0.1. Let d = -0.2 + k. Let t = -430 - -859/2. Which is smaller: t or d? t Let m = 0.207 + 168.793. Let u = 125 - m. Is u <= 0? True Let k be (-146)/657 + ((-28)/(-18))/(-2). Is k greater than -5/18? False Let z be (-12)/(-14)*18/(-27). Let r(h) = h**3 + 4*h**2 - 8*h - 12. Let o be r(-5). Suppose -o*w - i - 3 = -1, -5*w + 4*i = -8. Which is smaller: z or w? z Let x = 292 + -240. Do 54 and x have different values? True Suppose 2*u + 5*x - 139 = 0, -3*u - 3*x = -183 - 21. Is 66 at most as big as u? True Let w = -6.7 - -6.65. Which is smaller: w or 3/4? w Suppose 0 = -3*a - 37 + 145. Suppose 3*r - 9 = 3*k, 3*k + 2*r + a = -k. Let i be 3/k + 240/(-28). Which is smaller: -10 or i? -10 Let o = 17 + -20. Let z = -0.02 + -0.08. Let u = 0.1 - z. Which is smaller: o or u? o Let z be (-116)/10 + (-12)/(-20). Let r be 4 - -1 - (-7 - z). Are 1/11 and r equal? False Let w = -8 - 0. Let y = -12 - w. Let f(d) = -d**2 + 5*d + 2. Let a be f(6). Is y >= a? True Suppose 5*k + 6 - 13 = -4*q, k = 5*q + 13. Let p be 39/(-10) - (q + -2). Are p and -0.2 non-equal? True Let a = -184707/85 + 2173. Let g(l) = -56*l - 112. Let w be g(-2). Which is smaller: w or a? a Suppose z - 4*h + 73 + 17 = 0, 4*z = -3*h - 417. Let l = -50 - z. Do 51 and l have the same value? False Suppose -64 = -16*w + 112. Let l = 186 - 110. Let p be l/(-539) - (-2)/w. Are p and -1 nonequal? True Let q = -255 - -124. Let o = 121 - q. Let l be 2/(-12) - 30/o. Which is smaller: l or -17? -17 Suppose -f + 4*n - 30 = -43, -2*n - 8 = -2*f. Let u = 23 - 41. Let k be 0 - 0 - 4/u. Does k = f? False Let q be 4 - (387/24)/3. Suppose x = -2*p + 5*x + 8, -2*p + 3*x + 6 = 0. Is p greater than or equal to q? True Let b be (2/5)/((-55)/275). Let f be 4/(-10) + (-36)/10. Are f and b unequal? True Let k = 529/310 + -56/31. Which is bigger: k or 1? 1 Let h = 3 + -2.8. Let p = -1094 + 1089. Is p < h? True Suppose -38*k + 1183 = -51*k. Is -89 greater than or equal to k? True Suppose -t = -5*t + 8. Suppose 0 = q + t*q - 15. Suppose -5 = 5*u + q. Is -2 bigger than u? False Suppose 5*j = 3*j + 12. Let h be (-38)/14 - j/21. Let w = h - -8. Which is bigger: 6 or w? 6 Suppose -3*n = 4*j - 7*j - 9, -j + 2 = 0. Suppose 6*w = n*w + 100. Let o be (-56)/w - 3/(-5). Is o smaller than 1? True Let g(r) = -r + 15. Let f be g(13). Let a = 7 + f. Suppose a = o + 4*z, 5*o - 9 = -2*z - 0. Are 4/13 and o non-equal? True Let c(z) = z + 20. Let n be c(-10). Is 2 greater than n? False Let u be (-3816)/30*(-5)/(-14). Which is smaller: -45 or u? u Let z be 74*(-3 - (-92)/32). Let d(q) = -2*q**2 + 4*q - 3. Let x be d(3). Are z and x nonequal? True Let h = 434 + -3475/8. Which is smaller: 12/5 or h? h Suppose 6*v = 3*v + 12. Suppose -3*i + 3*p = -0*i - 3, 4*p = -v*i + 4. Let a be (i + (-50)/54)*-3. Which is bigger: -1 or a? a Let j be (-1)/2 - 55/2. Let f be (-21)/j*2*2. Suppose f*r + 1 = 4*r. Which is bigger: r or 2/13? r Let x be 2/14*(80 + 333). Is x <= 1? False Suppose 3*u = 3*a - 12, 0 = 2*u + 5*a - 24 - 3. Let f be 6 - (u - (-1 - 0)). Suppose i + 3*x = -9, -5*i - 8 = 4*x + f. Is 1 bigger than i? True Let d be 5/(-10) + -1 + 2. Let m be (-4946)/40 - (-4)/16. Let z = m + 123. Are d and z equal? False Let d(i) = 280*i + 218. Let u be d(4). Is 1338 not equal to u? False Let l(a) = a**3 + 7*a**2 + 5*a - 4. Let z be l(-6). Suppose z*k + 10 = -k + 4*x, 0 = 4*x + 8. Let r be (-2)/(-3)*-6*(-1 + 3). Are r and k equal? False Suppose -20*d - 513 + 93 = 0. Is d smaller than -19? True Let i be ((-174)/(0 - -2))/(-1). Let u be (-1 - (-93)/i)*6. Let c = 3/203 + u. Which is smaller: 1 or c? c Let y = 4 - -2. Let w(i) = i - 13. Let o be w(y). Let x = 5 + o. Which is smaller: -2/3 or x? x Suppose 0 = 4334*n - 4335*n - 8. Let j = 7 - 31. Let y = j + 17. Is n bigger than y? False Let w = -667 + 686. Which is greater: w or -4? w Let i = 19.38 + -2.28. Let h = i - 18. Let p = -1 - h. Are 2/5 and p nonequal? True Suppose -6 = 60*n - 6. Which is smaller: 379 or n? n Let o = -591/2 - -268. Which is smaller: -28 or o? -28 Suppose 12*g = 7*g + 55. Let h be ((-2)/(-4))/(g/(-22)). Let r = -5284/87 + 182/3. Is h < r? True Let i = 236 - 2120/9. Suppose -12 + 4 = -4*t. Let m = -3 + t. Which is greater: m or i? i Let g = -53 - -49. Let y be (-3 + (-4)/g)/38. Which is bigger: y or 1? 1 Let r = -2 - 1. Let l be 6*((-3)/(-2))/r. Let i be 4/l*30/(-32). Which is greater: 0 or i? i Let f be 10/8*-1*(-4)/(-20). Suppose 6*w - w = 0. Suppose w = 3*o - 2*o - 4*x + 4, 4*o + 5*x = 5. Which is greater: f or o? o Suppose 0 = 3*f - 4*r - 566, -5*f - 161*r = -156*r - 885. Is 180 less than f? True Let m be (-6)/(0/2 + -1). Let c be (-16)/(-3)*-1 + (-15)/(-45). Let i = m + c. Is i smaller than -2? False Let r = 1120.9 + -1205. Let g = r + 84. Are g and -87/2 non-equal? True Suppose 0 = 4*s - 2*s - 16. Suppose -n = -g + 8, -2*g - 5*n + n - s = 0. Suppose -2*j + 2*o = -2, j + 0 + g = -4*o. Is j <= -7? False Let f = -97 - -232. Let p = f - 135.06. Are -2/7 and p non-equal? True Let q = -1110013272/665 + 1669195. Let p = 12/133 + q. Is p > 4/5? True Suppose -7 = -4*g - 31. Let r = g - -17. Let u(q) = 6*q**2 + q + 1. Let b be u(1). Is r greater than b? True Let h be (-5 + 2)/(1/(-9)*1). Is 26 not equal to h? True Suppose -16*l + 13 + 19 = 0. Suppose -5*d + 7 = l*d. Let m be 2 + 0 - (-36)/(-17). Is m at most d? True Let o = -1756/9779 + -2/889. Let w(g) = -g**3 - 3*g**2 - g - 3. Let s be w(-3). Are o and s equal? False Suppose -45*a + 146 + 79 = 0. Which is bigger: a or 19/3? 19/3 Let l = -1296 - -1548. Is l equal to 251? False Let b be (-161)/(-35) + (-3)/5. Let t(a) = -2*a + 9. Let z be t(b). Which is smaller: -1/5 or z? -1/5 Suppose 4*s = 2*o + 10, 0*o + 4*s - 5 = -3*o. Let w be (o - 10/(-4))*(-36)/(-1512). Is 0 > w? False Let t(l) = -l**3 + 3*l**2 + 8*l - 5. Let v be 15/(-25) - (-28)/5. Let i be t(v). Let n = -8 - i. Which is smaller: 6 or n? 6 Let f = 706 + -706. Is -21 <= f? True Let w = -24 + 27. Let a be (w/36)/(2/28). Which is bigger: a or 2/11? a Let n be -6*(2 - 51/6). Do 40 and n have different values? True Suppose -6 = p + p. Let d = -2 - p. Do d and -3 have different values? True Suppose -5*p + 33 = -27. Let f be 6*(45/(-10) - -2) + 1. Let c = p + f. Is 0 greater than or equal to c? True Let z be ((-11)/(-4))/((-9)/(-36)). Let k = 3 - z. Which is smaller: -6 or k? k Let d = -3706.93 + 3743. Let k = -36 + d. Which is bigger: k or 0.1? 0.1 Let u = -14240 - -42191/3. Are u and -175 equal? False Suppose 17*r = 22*r + 230. Let t = 45 + r. Which is smaller: -23 or t? -23 Let r = -30 - -29. Which is smaller: 2.86 or r? r Let u = -965 + 8713/9. Which is greater: u or 3? u Let m(y) = 59*y**3 + 3*y**2 - 1. Let d be m(1). Which is smaller: 65 or d? d Let s = -7 - -4. Let y = 3 + s. Let q = -6 + 8. Is y less than or equal to q? True Let h be (2/(-7))/((-7)/931). Which is smaller: h or 268/7? h Let l = 5 - 11. Let d = 8 + l. Let x = 511.02 - 511. Is x equal to d? False Let v = 96 - 314/3. Let j = 26 + -34. Is v bigger than j? False Let h be (-2617)/(-15) + 1/5 - 0. Let n = -90169/30 - -17005/6. Let m = n + h. Which is smaller: -1/2 or m? -1/2 Suppose -25 = -2*x - 5*l, -3*x - l + 5 = -2*x. Suppose x = 21*u - 26*u - 70. Is 0 bigger than u? True Let w be 402/(-9)*45/10. Which is bigger: w or -200? -200 Suppose 3*y - 11 = 31. Let z be 28/(-20) + (-834)/(-60). Which is smaller: y or z? z Let f = -132 - -128. Let w be 302/(-8) - 4/4. Let g = w - -39. Does g = f? False Let o = -8 - -8.6. Let f = o - -18.4. Let u = f + -18. Are u and 0.1 equal? False Suppose -5*a - 13 = 2*y, -a = 3*y - 2*a - 6. Let r be (-3 - y*-2)*(-7 + 8). Is r > -10/7? True Suppose -6*t - 131 = -155. Let y be 4/(-6) - (-140)/12. Suppose -3*m + y = p, m = 6*m -
{ "pile_set_name": "DM Mathematics" }
2 - 7*q + 2. Let u = -1 + 46. Let m be (u/(-15))/((-2)/(-10)*-3). What is the remainder when 32 is divided by o(m)? 15 Calculate the remainder when -11 + 202/18 + (-5)/((-180)/232624) is divided by 15. 12 Suppose -14*b = -9*b - 20. What is the remainder when (-1)/(-4)*(-52)/(-13) is divided by b + (-10)/5 - 1? 0 Let t(z) = 5*z - 16. Let h be t(5). Let a be (h - 4)*-1*4/(-2). Let d = -8 + a. What is the remainder when 4 is divided by d? 0 Let h(x) = 7*x - 6. Suppose -37*f + 150*f = 1356. What is the remainder when h(11) is divided by f? 11 Let o(f) = -91*f + 53. Calculate the remainder when o(-8) is divided by 14. 11 Suppose -u - q = -141, -569 = -12*u + 8*u + q. Suppose -5*j + u = -2*j - 4*n, 0 = j - n - 47. What is the remainder when j is divided by 22? 2 What is the remainder when 587 is divided by 313 - (27 - 28/4)? 1 Suppose -669 = -3*r + 2*y, r - 660 = -2*r - y. Let f = r - 119. Suppose -4*b + f = -b. Calculate the remainder when b is divided by 6. 4 Let a(n) = 14*n**2 - 15*n - 512. Calculate the remainder when a(-15) is divided by 29. 21 Let o = 60 + -33. Let u(g) = g**3 + 12*g**2 + 9*g - 41. Suppose 6 = -s - 4. What is the remainder when u(s) is divided by o? 15 Suppose -4*v - 9 = 23. Let d(k) = 55*k + 53. Let p(n) = -13*n - 13. Let u(x) = 2*d(x) + 9*p(x). What is the remainder when u(v) is divided by 16? 13 Let b(a) = -1. Let w(g) = -g + 44. Let d = 16 + -11. Let m(p) = d*b(p) + w(p). What is the remainder when m(-10) is divided by 17? 15 Let u(x) = 2*x**2 - 35*x - 164. What is the remainder when u(-8) is divided by 96? 52 Let z(n) = -17*n**2 + 502*n + 280. Calculate the remainder when 1251 is divided by z(30). 11 Suppose 0 = 7*v - 18*v + 1452. Calculate the remainder when (2 - (4 + -2)) + (v - -11) is divided by 29. 27 Suppose -584*u - 2378 = -613*u. Calculate the remainder when 87 is divided by u. 5 Let o be (-6)/(-3)*(-2 + 3)*1. Suppose -3*u + o*u = -4*h - 47, 0 = -5*u - 4*h + 139. Calculate the remainder when 57 is divided by u. 26 Suppose -l + 2*v = -24, -l - v - 67 = -4*l. Calculate the remainder when 9082 is divided by l. 18 Suppose 0 = -6*s + 4*s - 3*y + 24, 4*y - 16 = 0. Calculate the remainder when 96 is divided by -22*((-1 - -2) + (-9)/s). 8 Let o(t) = -2*t - 10. Suppose 5*d + 36 = -d. What is the remainder when 74/8 - 10/40 is divided by o(d)? 1 Let a(v) = -4*v**3 - 11*v**2 - 3*v + 9. Suppose -4*n + 7*i - 2*i + 53 = 0, -5*i = 5. Suppose n*c + 25 = -23. Calculate the remainder when a(c) is divided by 26. 23 Calculate the remainder when 1 + (-114288)/(-120) + (-8)/20 is divided by 87. 83 Suppose 0 = 9*d + 84 - 3054. What is the remainder when 1982 is divided by d? 2 Suppose -5*d - 3*n + 453 = 0, 3*d + 93*n - 255 = 94*n. What is the remainder when 285 is divided by d? 24 Let f = -18447 - -18452. What is the remainder when 99 is divided by f? 4 Suppose -2*m + 3*b + 27 = 0, -1 = m - 2*b - 17. Let z be (m - -49) + (-2 - -1). Let f = 10 + z. Calculate the remainder when f is divided by 33. 31 Suppose -10 = 4*y - 66. Let w(v) = 228*v - 2734. Let m be w(12). Suppose y = m*j - 28. Calculate the remainder when 41 is divided by j. 20 Suppose -3*y = 2*q - 6*q - 25, 4 = -4*q. Suppose 0 = 7*p - 15 - 6. Let m(g) = 7*g - 9. Calculate the remainder when m(p) is divided by y. 5 Let l(s) = 36*s**3 - 2*s**2 + s + 2. Let u = -45987 + 46044. Calculate the remainder when l(2) is divided by u. 56 Let b = 3701 - 3591. Calculate the remainder when 312 is divided by b. 92 Let n = 1875 - 1503. Calculate the remainder when n is divided by 43. 28 Suppose -2*c = 3*a - 496 - 106, -2*c - 5*a = -594. Calculate the remainder when c is divided by 114. 79 Suppose 195*r - 108 = 191*r. Calculate the remainder when (1 - 2)*4 + 65 + 2 is divided by r. 9 Suppose 9*m = 44 + 73. Suppose -2*c = -3*c + m. Suppose -1 = -2*j + c. What is the remainder when 27 is divided by j? 6 Let t be 44/66*(238/4 - -2). Suppose -u - 5*a = -t, -2*u + 7*u - a - 75 = 0. What is the remainder when u is divided by 4? 0 Calculate the remainder when 950 is divided by 621/3105 + 2264/5. 44 Suppose 4516*r = 4474*r + 9492. Calculate the remainder when 852 is divided by r. 174 Let b = -17 + 45. Let q = -79 + 76. What is the remainder when b is divided by ((-1)/q)/((-3)/(-90))? 8 Let c(q) = 433*q - 9931. Suppose -2*d + 7*l = 3*l + 20, -33 = 3*d - 5*l. Let v = 31 + d. What is the remainder when c(23) is divided by v? 13 Let s(j) = -j + 1. Let o(g) = -2*g + 3. Let p(m) = 2*o(m) - 5*s(m). Let f be p(16). Suppose 0 = 11*u - f*u + 306. What is the remainder when u is divided by 18? 15 Let n(p) = -2*p + 4*p**3 + 9 - 13*p**3 - 17*p**2 - 37 + 8*p**3. Calculate the remainder when 55 is divided by n(-17). 1 Let b be (-7652)/20 - (-27)/45. Let l = -136 - b. What is the remainder when l is divided by 36? 30 Suppose 0 = -5*r + 4*f - 260 - 149, 3*r + 3*f = -267. Suppose 4*l - 18*l = 14*l - 2856. Let v = r + l. What is the remainder when 66 is divided by v? 15 Suppose -7*h = -6*h - 5*y + 34, -4*h - 5*y - 186 = 0. Calculate the remainder when (-2132)/h - (-120)/220 is divided by 11. 5 Suppose -825 + 1675 = 10*n. What is the remainder when 241 is divided by n? 71 Let m(c) = c**3 + 8*c**2 - c + 5. Let h = -96 - -117. What is the remainder when m(-6) is divided by h? 20 Let c(j) = -j**3 - 10*j**2 + 48*j + 14. Let t be c(-14). Suppose 5*s = -4*s + t. Suppose -3*v + 77 + 79 = 0. What is the remainder when v is divided by s? 10 Let v = 11 - -8. Suppose -3*r + 2*r = -5. Suppose -r*h - 91 = -741. What is the remainder when h is divided by v? 16 Let q(t) = 57*t - 2746. What is the remainder when 1597 is divided by q(49)? 46 Let o be 146/(-2) - -2*1. Suppose 0 = -6*s + 9*s + 150. Let d = s - o. What is the remainder when 165 is divided by d? 18 Let k = -2354 + 2403. Calculate the remainder when 201 is divided by k. 5 Let c = -9532 + 9547. What is the remainder when 1704 is divided by c? 9 Let q = -241 + 136. Let u = q - -133. Calculate the remainder when 79 is divided by u. 23 Let h = -32 + 9. Let a = -44 - h. Let m = a + 45. Calculate the remainder when 95 is divided by m. 23 Let l = 9962 - 9813. Calculate the remainder when 445 is divided by l. 147 Let q(m) be the third derivative of -5*m**4/3 + 14*m**3/3 + 179*m**2. What is the remainder when q(-1) is divided by 39? 29 Calculate the remainder when 1197 is divided by (-146)/(-14) - (61/1281)/((-1)/(-9)). 7 Let p = 6665 + -6588. Suppose 4*g = -o + 902, 5*g - 910 = 4*o + 228. Calculate the remainder when g is divided by p. 72 Suppose 53*a + 19*a = a + 29678. Calculate the remainder when a is divided by 7. 5 Suppose 21 = 20764*v - 20757*v. What is the remainder when 13 is divided by v? 1 Let d = 32706 - 32616. Calculate the remainder when d is divided by 47. 43 Suppose 7*u - 2*u = -285. Let z = u - 86. Let w = -78 - z. What is the remainder when w is divided by 11? 10 Suppose -4*l + 972 = h, -18*h + 13*h + 1215 = 5*l. What is the remainder when l is divided by 62? 57 Let q be (-2)/8*(-4 - -8)*-29. Suppose 6*w - 2065 = -q*w. Calculate the remainder when w is divided by 7. 3 Let n be 504 + 112/20 + 15/(-25). Let v = n + -360. What is the remainder when v is divided by 72? 5 What is the remainder when 616 is divided by 750/6 + -8 + 6? 1 Suppose 0*x + 28 = -2*g + 3*x, 0 = -3*g - 4*x - 42. Calculate the remainder when 66 is divided by (-24)/84 - 242/g. 15 Suppose 7*p = 50 + 594. Let g = 98 - p. What is the remainder when 14 is divided by g? 2 Suppose 0*l + 50 = l. Let t be ((-44)/(-132))/((-1)/33). What is the remainder when 151 + 6 + 3 + t is divided by l? 49 Let c = 14 + -11. Let g(a) = -a**3 + 13*a**2. Let n be g(13). Suppose -c*d + 72 = -n*d. Calculate the remainder when d is divided by 7. 3 Let f(r) = -8*r**2 - 59*r - 32. Calculate the remainder when 780 is divided by f(-6). 32 Suppose 0 = 24*i - 2822 - 401 - 6497. Calculate the remainder when i is divided by 68. 65 Let q(y) = -y**3 + 17*y**2 - 3*y + 73. Let h be q(17). Suppose -5*a + h*b + 957 = 26*b, -2*a + 390 = -2*b. Calculate the remainder when a is divided by 49. 46 Let j = 18827 + -18721. Let d = 65 + -26. Calculate the remainder when j is divided by d. 28 Suppose 9*d - 4*d + 350 = 3*c, -3*c - 4*d = -368. Let q = 96 - 55. What is the remainder when c is divided by q? 38 Let d(p) = 2*p**3 + 25*p - 6*p**2 - 3*p**3
{ "pile_set_name": "DM Mathematics" }
rivative of 52*u**7/7 - 2*u**3/3 - 27*u**2/2 + 165. Find the third derivative of z(o) wrt o. 6240*o**3 Let a(c) be the third derivative of c**6/60 - 5*c**4/8 + 7*c**3/6 + 3*c**2 + 5. Find the first derivative of a(y) wrt y. 6*y**2 - 15 Let x(w) be the third derivative of -1/210*w**7 + 0 + 1/12*w**4 + 0*w**5 - 55/6*w**3 + 0*w**6 + 0*w - 42*w**2. Differentiate x(b) with respect to b. -4*b**3 + 2 Let t(u) be the first derivative of -130*u**7/7 - 101*u**3/3 - 49. What is the third derivative of t(q) wrt q? -15600*q**3 Let n(p) = 427*p**2 - 12*p - 646. Let q(x) = x**2 + 6*x + 1. Let i(k) = n(k) + 2*q(k). Differentiate i(y) wrt y. 858*y Let n(v) be the third derivative of -68*v**7/35 + v**5/30 + 437*v**4/24 - 341*v**2. Find the third derivative of n(d) wrt d. -9792*d What is the third derivative of 56*s**4 - 144*s**3 + 147*s**3 + 39*s**4 - 23*s**2 + s**4 wrt s? 2304*s + 18 What is the third derivative of 2 + 4*a**3 - 3163*a**2 + 92*a**5 - 4*a**3 + 3155*a**2 wrt a? 5520*a**2 Let v(b) = -112*b**2 - 5*b - 13. Let x(s) = 56*s**2 + 2*s + 7. Suppose 54 = 4*t + 42. Let i(w) = t*v(w) + 7*x(w). What is the second derivative of i(d) wrt d? 112 Let k(y) = -y**2 - 1 - 2*y + 9 + 9*y + 2*y**2. Let g be k(-6). What is the third derivative of 2*d**g + 4*d**4 + d**4 - 6*d**4 wrt d? -24*d Let v(l) = -7*l**3 + 5*l**2 - 11. Let t = -53 - -31. Let o(m) = -1. Let z(p) = t*o(p) + 2*v(p). What is the third derivative of z(g) wrt g? -84 Find the third derivative of 7 + 7 + 501*r**2 - 14 - 943*r**6 wrt r. -113160*r**3 Let z(n) be the third derivative of 13*n**6/20 - 11*n**3/6 + 2*n**2 - 32*n. What is the first derivative of z(q) wrt q? 234*q**2 Let r(u) = -11 + 3 + 9 + 2*u**2 - 3*u. Let f be r(2). What is the derivative of -4 - 3*b**3 + 31*b**2 - 3*b**f - 31*b**2 wrt b? -18*b**2 Let k = 22 - 17. Find the second derivative of 11*j**4 - 21*j**k - j + 16*j**4 - 27*j**4 wrt j. -420*j**3 Find the third derivative of -3*s**4 - 14*s**4 - 4*s**2 - 3*s**2 + s**2 + 2*s**3 wrt s. -408*s + 12 Let u(k) be the second derivative of -k**6/10 + 2*k**3 - 3*k**2 + 142*k. Differentiate u(c) wrt c. -12*c**3 + 12 Let b = 5793/4145 + 2/829. Let o(x) be the first derivative of -b*x**5 + 0*x**3 - 6 + 0*x - 1/2*x**2 + 0*x**4. Find the second derivative of o(i) wrt i. -84*i**2 Let t(i) be the second derivative of 0*i**5 + 11/6*i**4 + 0*i**7 - 21*i + 0*i**6 + 13/28*i**8 + 0*i**3 + 0 + 0*i**2. What is the third derivative of t(x) wrt x? 3120*x**3 Let l = 32 - 29. Find the third derivative of -5*i**l - 20*i**2 - 12*i**3 + 12*i**2 wrt i. -102 What is the second derivative of 102*w**3 - 87*w - 312*w + 42*w**3 - w**2 - 66*w**3 wrt w? 468*w - 2 Let v(w) be the first derivative of -7*w**6/6 + 23*w**4/4 - 229*w**2/2 + 248. What is the second derivative of v(y) wrt y? -140*y**3 + 138*y Let h(m) be the first derivative of 2*m**7/7 - 23*m**6/6 - 418*m**3/3 + 635. What is the third derivative of h(d) wrt d? 240*d**3 - 1380*d**2 Find the second derivative of -240 + 0*i - 96*i**2 + 121 + 124 + 2*i wrt i. -192 Suppose 0 = -3*c + 7*c. Find the third derivative of -13*y**3 + 9*y**2 + c*y**2 + y**2 wrt y. -78 Find the third derivative of -w**2 - 68 + 19*w**3 + 15 + 1 wrt w. 114 Let o(a) = -a**2. Let s(k) = -5*k**2 + 3*k + 40. Let c(m) = -2*o(m) - s(m). What is the first derivative of c(n) wrt n? 14*n - 3 Let i(b) be the second derivative of -11*b**2 + 0*b**3 + 26*b + 0*b**4 - 1/5*b**5 + 0. Differentiate i(z) wrt z. -12*z**2 Let o = 6 - -7. What is the second derivative of -o*r + 16*r**4 + 0*r**4 - 38*r**4 wrt r? -264*r**2 Find the third derivative of -298 + 41*z**2 + 153 + 145 - 41*z**4 wrt z. -984*z Let m(k) be the first derivative of 127*k**6/6 + k**4/4 - 526*k**3/3 + 589. What is the third derivative of m(g) wrt g? 7620*g**2 + 6 Let t(n) = 58*n**6 + 49*n**2 - 2. Let i(f) = 116*f**6 + 98*f**2 - 4. Let w(p) = -4*i(p) + 7*t(p). What is the third derivative of w(r) wrt r? -6960*r**3 Suppose 3*t = 5*t - 20. Let c(i) = 2*i - 10. Let j be c(t). Find the third derivative of 7 + 3 - 8*f**3 - 2*f**2 - j wrt f. -48 Let r(o) be the second derivative of 41/42*o**7 - o**4 + 0 + 0*o**5 + 0*o**2 + 0*o**6 - 13*o + 0*o**3. What is the third derivative of r(i) wrt i? 2460*i**2 Let a(z) be the first derivative of 4 - 17*z + 19/2*z**2. What is the first derivative of a(k) wrt k? 19 Let n = 36 - 30. What is the second derivative of 3*a**2 - 9*a - 4*a - n*a + 5*a**2 wrt a? 16 Let f(h) be the third derivative of 4*h**7/35 + h**5/30 - 8*h**3/3 + 179*h**2. What is the third derivative of f(t) wrt t? 576*t Let s(j) be the second derivative of -7*j**4 - 27*j**3 + 11*j. Find the second derivative of s(n) wrt n. -168 Let w = -387 + 390. Let k(g) be the third derivative of 0*g**4 + 0*g + 1/15*g**5 + 11*g**2 + 0 + 1/6*g**w. What is the first derivative of k(d) wrt d? 8*d What is the second derivative of 185*l + 290*l**2 - 172*l**2 - 686*l wrt l? 236 Let w(g) be the first derivative of 64*g**2 - 59*g - 31. Find the first derivative of w(r) wrt r. 128 Let z(f) = f**2 + 2*f - 1. Let g be z(-3). Let u = 0 + g. Find the third derivative of -p**2 + 0*p**2 - p**2 - p**4 + 8*p**u wrt p. -24*p Let c(d) = -d**2 + 7*d + 6. Let j(x) = -2*x - 5. Let r be j(-6). Let h be c(r). What is the third derivative of -3*k**2 + h*k**4 - 6 + 2*k**2 + 6 wrt k? 144*k Let f(a) be the first derivative of -9*a**7/7 - 8*a**5/5 - 191*a**3/3 - 257. Find the third derivative of f(l) wrt l. -1080*l**3 - 192*l Let w(n) be the third derivative of n**6/30 + n**5/20 + 325*n**4/24 - 254*n**2. Find the second derivative of w(m) wrt m. 24*m + 6 Suppose 3*a = -0*a. Suppose 5*l + 2*x = 1 + 1, -2*l + x = -8. Find the second derivative of -f + a*f**2 - 2*f**2 + 2*f**l - 5*f**2 wrt f. -10 Let b(u) = -288*u - 197. Let f(n) = 4*n - 1. Let k(g) = b(g) - f(g). Find the first derivative of k(a) wrt a. -292 Let t(u) be the first derivative of -4*u**5/5 - 4*u**4 + 46*u + 218. What is the first derivative of t(b) wrt b? -16*b**3 - 48*b**2 Find the second derivative of 13 + 8 + 40 - 19 + 3*x + 186*x**3 wrt x. 1116*x Let o(r) = r**4 + r**3 - r - 1. Suppose u - 14 = -16. Let p(z) = -3*z**4 - 2*z**3 + 2*z - 5. Let l(c) = u*o(c) - p(c). What is the derivative of l(g) wrt g? 4*g**3 Find the second derivative of 15*j**2 + 164*j - 112*j**2 + 47*j**2 wrt j. -100 Let n = 11 + 89. Suppose w + 4*l = -2*w + 12, 4 = w - 3*l. Find the second derivative of -100*p**2 + 4*p**w + 6*p + n*p**2 wrt p. 48*p**2 Let h(f) = f + 10. Let w be h(0). Suppose -5*c + 3*d + 18 = 0, -6*c - 5*d = -c - w. What is the derivative of 2*r**3 - 5 - 3*r**3 + c*r**3 wrt r? 6*r**2 Let s(c) be the first derivative of 69*c**5/5 + 385*c**2/2 + 174. Find the second derivative of s(x) wrt x. 828*x**2 Suppose -5*b - 82 = -3*f, 0*f = f + b - 14. Suppose -7 = 3*c - 4*a, -c - 5*a + 4 + f = 0. Find the third derivative of -3*q**4 + 5*q**4 + c*q**2 + 3*q**4 wrt q. 120*q Let t(x) = 2*x**3 + x + 1. Let r(j) = -447*j**3 - 6*j + 601. Let m(v) = r(v) + 6*t(v). Differentiate m(f) wrt f. -1305*f**2 What is the third derivative of -464*k**5 + 40180*k**2 - 40177*k**2 - 8*k - 24*k**5 wrt k? -29280*k**2 Let q(i) = -5*i**3 - 6*i**2 + 4*i + 91. Let h(l) = -4*l**3 - 5*l**2 + 2*l + 91. Let j(z) = -6*h(z) + 5*q(z). Differentiate j(r) with respect to r. -3*r**2 + 8 Let q = 83 - 79. What is the derivative of -13*v**4 + 16 + 25*v**q - 5*v**4 + 2 wrt v? 28*v**3 Let i(a) = 6*a**2 - 2*a - 1. Let p be i(-2). Find the second derivative of p*l + 19*l**5 - 1338*l**2 + 1338*l**2 wrt l. 380*l**3 Let l(m) = 63*m + 177. Let i(v) = -6*v + 2. Let n(k) = 5*i(k) + l(k). Find the first derivative of n(u) wrt u. 33 Suppose -5*n = -3*h + 2, -2*n - h + 12 = h. Suppose 0 = x + n*f, -5*x + 5*f - 5 + 35 = 0. Differentiate -2*d**4 + 4*d + 1 + d**4 - x*d with respect to d. -4*d**3 Let s(u) be the second derivative of -49*u**6/15 - 135*u**2/2 - 165*u. Differentiate s(j) with respect to j. -392*j**3 Let k(l) = 7*l - 5. Suppose 0 = -0*y - 3*y. Let i(r) = -6 + r + 4*r + y*r + 3*r. Let a(f) = 3*i(f) - 4*k(f). What is the first derivative of a(o) wrt o? -4 Let q be ((-1)/3 + 45/27)*-3. Let u(y) = -17*y - 23. Let m(l) = 34*l + 46. Let j(g) = q*m(g) - 7*u(g). What is the derivative of j(t) wrt t? -17 Suppose -k - 77 = 5*r - 225, 0 = -3*k - 6. Find the first derivative of 22*z + 14*z - r*z - 9 wrt z.
{ "pile_set_name": "DM Mathematics" }
513*b**2. Let z(r) = 85*r + 6. Let s(q) = -241*q - 17. Let p(u) = -6*s(u) - 17*z(u). Calculate p(w(l)). -2513*l**2 Let j(p) = -3*p**2. Suppose 3*m - 266 = k, 0*m - 2*k = -4*m + 354. Let f(a) = m + 86 - 175 + 9*a. Calculate f(j(w)). -27*w**2 Let l(h) be the third derivative of h**4/12 - 1388*h**2. Let n(q) = 7083*q**2 - 1. What is n(l(t))? 28332*t**2 - 1 Let y(o) = -15*o**2 - 3*o - 3786. Let p(h) = -29*h. Determine y(p(r)). -12615*r**2 + 87*r - 3786 Let r(s) = -4*s**2. Let z(l) = 31144748*l**2. Determine r(z(u)). -3879981311934016*u**4 Let y(c) = 205619*c. Let x(m) = 273*m**2. Calculate x(y(t)). 11542214272953*t**2 Let g(j) be the first derivative of 43/2*j**2 + 1/6*j**4 + 0*j**3 + 0*j - 6. Let b(h) be the second derivative of g(h). Let u(x) = -6*x**2. Give u(b(c)). -96*c**2 Let s(q) = -4*q + 2*q + 3042 - 2085 - q. Let z(l) = l**2. Calculate z(s(x)). 9*x**2 - 5742*x + 915849 Let g(r) = 5*r**2 - 28*r. Let c(w) = -w**2 + 7*w. Let a(f) = 12*c(f) + 3*g(f). Let p(x) = -324*x. What is p(a(n))? -972*n**2 Let a(b) be the first derivative of 220 + 0*b + 0*b**2 - 1/3*b**3. Let p(f) be the third derivative of f**5/20 - 2*f**2. What is p(a(c))? 3*c**4 Let q(i) = i. Suppose -1535*m = -1584*m + 98. Let f(u) be the first derivative of -7*u**m - 1/3*u**3 + 0*u - 7. Calculate q(f(a)). -a**2 - 14*a Let n(f) = 194*f**2 - 446*f**2 + 260*f**2. Let r(u) = 3*u**2 + 2*u - 2*u. Calculate n(r(o)). 72*o**4 Let m(f) = -2*f. Suppose 4*b - 15*b - 44 = 0. Let c(y) = 22*y**2 - 8*y - 4. Let z(j) = -24*j**2 + 6*j + 3. Let v(g) = b*z(g) - 3*c(g). Determine m(v(u)). -60*u**2 Let b(a) = 4*a. Let u(t) = -4969181*t. Determine b(u(c)). -19876724*c Let s(w) = 3*w. Let h(k) = -k + 18. Let o(l) = -78*l + 93. Let n(p) = 5*h(p) - o(p). Calculate n(s(u)). 219*u - 3 Let b(x) be the second derivative of -1/6*x**4 + 0*x**2 + 0 + 58*x + 0*x**3. Let o(u) = 9*u**2. Give o(b(z)). 36*z**4 Let l(x) = x + 5. Let g(f) = 188*f + 705. Let q(s) = g(s) - 141*l(s). Let t(r) = -r. Determine t(q(d)). -47*d Let o(m) = 2*m. Let n(p) = -1600245*p. Give o(n(v)). -3200490*v Let s(f) = 69*f**2. Let g = -455 + 554. Let l(a) = -109*a**2 - g*a**2 + 206*a**2. What is l(s(v))? -9522*v**4 Let m(c) = -2*c. Let o(x) = -115*x**2 - 518*x - 82. What is o(m(p))? -460*p**2 + 1036*p - 82 Let b(s) be the second derivative of 0 - 1/6*s**4 + 0*s**2 + 0*s**3 - 29*s. Let a(o) = -3*o**2 - 19 + 13*o**2 + 17 + 8*o**2. What is a(b(l))? 72*l**4 - 2 Let o(t) = -3*t + 17. Let p(a) = -18*a + 85. Let u(l) = 30*o(l) - 6*p(l). Let i(w) = -111*w**2. Determine u(i(r)). -1998*r**2 Let x(f) = -926226*f. Let z(j) = -338*j**2. Calculate z(x(d)). -289968375839688*d**2 Let q(r) = -r**2 + 694*r + 2. Let v(j) = 756*j. Calculate v(q(z)). -756*z**2 + 524664*z + 1512 Let o(y) = 42*y. Let n(w) be the second derivative of -w**4/3 + 48*w + 2. What is o(n(j))? -168*j**2 Let z(w) = 6*w**2 - 124931*w. Let f(g) = 15*g. Give z(f(u)). 1350*u**2 - 1873965*u Let i(z) be the third derivative of -z**5/30 - 530430*z**2. Let j(d) = 4*d - 37. Let p(q) = q. Let l(c) = j(c) - 5*p(c). Determine l(i(v)). 2*v**2 - 37 Let l(c) = c**2. Suppose -7 = v - 5*d, 0*d - 17 = -5*v - d. Suppose t = v*t - a - 76, -3*t = 5*a - 114. Let p(m) = -8 + 6 - 7*m**2 + t*m**2. Calculate p(l(j)). 31*j**4 - 2 Let t(b) be the first derivative of 21*b**2/2 - 3794. Let h(x) = -4*x. Let m(r) = -25*r. Let k(c) = 39*h(c) - 6*m(c). Give t(k(j)). -126*j Let f(y) = 3*y + 11. Let p(m) = -m - 4. Let u(n) = 4*f(n) + 11*p(n). Let v(q) = -3443*q + 3443*q + 18*q**2. What is u(v(w))? 18*w**2 Let l(o) = -18 - 600*o + 598*o + 42 - 24. Let v(k) = 414*k**2 + 345*k - 345. Let p(j) = j**2 + j - 1. Let g(m) = 345*p(m) - v(m). Give l(g(a)). 138*a**2 Let y(b) be the third derivative of -7*b**4/12 + 2*b**2 + 2*b. Let j(r) be the first derivative of r**2/2 - 26. Give y(j(h)). -14*h Let o(r) be the third derivative of r**4/8 + 17*r**3/6 - 14*r**2 + r + 8. Let q(a) = 5*a + 4. Give o(q(l)). 15*l + 29 Let d(h) = -h. Let b(t) be the third derivative of 19*t**5/12 + t**3/6 + 626*t**2 + 2. Give b(d(i)). 95*i**2 + 1 Let y(t) = -1051*t**2 + 364*t**2 + 323*t**2 + 374*t**2. Let r(k) = -9*k**2 - 3*k**2 + k**2. What is r(y(i))? -1100*i**4 Let s(z) = 114*z**2. Let k(g) be the second derivative of 40*g**4/3 - 327*g. Calculate k(s(x)). 2079360*x**4 Let j(v) = 5*v**2. Let p(m) = -9493502*m**2. Give p(j(h)). -237337550*h**4 Let i(f) = -2456*f**2 - f + 512. Let s(y) = -10*y. Calculate i(s(r)). -245600*r**2 + 10*r + 512 Let b(n) = 44*n**2 - 4*n + 13. Let s(l) = 437*l**2 - 42*l + 131. Let g(r) = 21*b(r) - 2*s(r). Let i(m) = -m**2. What is g(i(w))? 50*w**4 + 11 Let k(w) = 40 - 44 + 24 + w + 74. Let a(y) = 2*y**2. Determine a(k(h)). 2*h**2 + 376*h + 17672 Let d(b) be the third derivative of b**5/60 + 451*b**4/8 - 2707*b**2. Let l(o) = o. What is d(l(z))? z**2 + 1353*z Let a = -71 + 86. Suppose -4*p + 99 = a. Let o(d) = -p*d - 20*d - 17*d + 62*d. Let b(s) = -2*s**2. Determine b(o(x)). -32*x**2 Let o(n) = -n**2 + 261*n. Let r(i) be the first derivative of -i**2 + 1145. Give r(o(h)). 2*h**2 - 522*h Let i(t) = -889*t**2 + 358*t**2 + 533*t**2. Let v(f) = 3381*f**2 + 1. Calculate v(i(x)). 13524*x**4 + 1 Let d(b) = -56*b**2. Let k(u) = -6*u**2 + 79*u. Give k(d(f)). -18816*f**4 - 4424*f**2 Let v(h) = 8*h. Let g(x) = -45*x**2 + 13*x + 7777. What is g(v(j))? -2880*j**2 + 104*j + 7777 Let c(m) be the third derivative of -m**4/8 - 1225*m**2 - m + 11. Let n(j) be the second derivative of -11*j**4/2 + j. What is c(n(b))? 198*b**2 Let f(j) = 3*j + 5*j + 3*j. Let b(l) = -2*l**2 - l - 40. Let d(z) = 17*z**2 + 9*z + 360. Let o(h) = -18*b(h) - 2*d(h). Determine f(o(v)). 22*v**2 Let t(w) = 2514*w**2. Let p(f) = -39*f**2 + 2*f - 2. Let x(h) = 214*h**2 - 11*h + 11. Let g(a) = 11*p(a) + 2*x(a). Give t(g(n)). 2514*n**4 Let j(c) be the third derivative of -11*c**4/8 + 1914*c**2. Let q(l) = l**2 - 66. Determine j(q(f)). -33*f**2 + 2178 Let i(o) be the third derivative of 767*o**5/20 + 418*o**2. Let t(g) = 2*g. Determine i(t(r)). 9204*r**2 Let q(m) = -3*m. Let b(f) = 4 - 4 + 2 - 2*f - 12. Let y(l) = -3*l - 12. Let d(r) = -6*b(r) + 5*y(r). Determine q(d(j)). 9*j Let i(o) = -4*o. Let w(g) = 1. Let z = -77 + 82. Let j(d) be the first derivative of -5*d**2/2 - 5*d + 7. Let a(x) = z*w(x) + j(x). Determine a(i(u)). 20*u Let f(m) = 3*m. Let h(o) be the second derivative of -275*o**3/2 + 84*o - 9. What is f(h(y))? -2475*y Let r(f) = -7. Let t(x) = 10 + 17*x - 5 - 5 - 16*x - 4. Let s(m) = 3*r(m) - 5*t(m). Let k(l) = -2*l. What is s(k(d))? 10*d - 1 Let a(w) = 161891*w**2. Let n(o) = -317*o**2. Determine a(n(d)). 16268264699*d**4 Let p(m) be the third derivative of 13*m**5/20 - m**4/12 + 11*m**3 - 5*m**2 - 4*m + 39. Let s(h) = -h**2. Calculate p(s(f)). 39*f**4 + 2*f**2 + 66 Let p(d) be the third derivative of -11*d**5/5 - d**4/24 - 1889*d**2. Let w(k) = 3*k. Determine w(p(c)). -396*c**2 - 3*c Let c(i) = -12 - 31 - 25 - 3*i + 68. Let g(s) = -2*s**2 + 1. Determine c(g(l)). 6*l**2 - 3 Let j(x) be the second derivative of 2 + 20*x + 0*x**2 + 1/2*x**3. Let v(n) = -28*n**2. Determine v(j(t)). -252*t**2 Suppose -14*q = -2*q - 1200. Suppose -q = -5*c + 305. Let j(b) = c*b**2 - 150*b**2 + 72*b**2. Let z(k) = -3*k. Give z(j(m)). -9*m**2 Let l(f) = -1 + 1 - 6*f. Let d(z) = 534 + z - 266 - 268 - 10*z + 21*z. Determine d(l(s)). -72*s Let b(i) = 18*i + 33. Let a(q) = q + 2. Let k(v) = 33*a(v) - 2*b(v). Let l(d) be the first derivative of -19*d**3/3 - 112. What is l(k(w))? -171*w**2 Let s(j) = -88*j. Let h(v) = 10*v - 68. Calculate s(h(u)). -880*u + 5984 Let f(m) = 2*m**2. Let k = -21 - -19. Let x(j) = -41*j + 1. Let z(l) = 163*l - 5. Let u(p) = k*z(p) - 9*x(p). Determine u(f(n)). 86*n**2 + 1 Let x(z) be the first derivative of 19*z**2/2 + 4. Suppose -4*y + 2*y = 0. Let s(o) = y*o + 5*o - 4*o + o. Give x(s(t)). 38*t Let s(q) = -2*q**2. Let w(t) = 6*t + 115. Let y be w(-13). Let r(p) = y*p + 36*p - 110*p + 39*p - 50*p**2. Calculate r(s(n)). -200*n**4 - 4*n**2 Let x(k) = 123*k + 1841*k - 1 - 1 + 3. Let t(y) = -2*y. Give t(x(m)). -3928*m - 2 Let o(a) = 19*a. Let d = 250 + -217. Let b(s) = -d + 12 + 9 - 6*s + 12. Calculate o(b(z)). -114*z Let o(l) = 436*l**2 - 403*l - 449*l**2 + 390*l. Let p(g) = 5*g**2. Calculate o(p(j)). -325*j**4 - 65*j**2 Suppose 0*p = -y - 3*p + 12, 3*p = 2*y - 24. Suppose -y =
{ "pile_set_name": "DM Mathematics" }
1126, 0 Sort -2/9, 0, -17/6, 2782 in decreasing order. 2782, 0, -2/9, -17/6 Put -28, 714, -31 in descending order. 714, -28, -31 Sort -20241, 641, -3. -20241, -3, 641 Put 1886549, 6, -4 in increasing order. -4, 6, 1886549 Put -3, 4, 9421, 2 in decreasing order. 9421, 4, 2, -3 Sort -52, 3, 1, -3, -108, 0, -4 in descending order. 3, 1, 0, -3, -4, -52, -108 Sort 33, -13883, -5, -3 in increasing order. -13883, -5, -3, 33 Sort -5, -10, -4, -1, -96, 0, -11. -96, -11, -10, -5, -4, -1, 0 Sort 4, 1, -4, -2, 2, 92, 97. -4, -2, 1, 2, 4, 92, 97 Put 37502, 3, 8, 10 in increasing order. 3, 8, 10, 37502 Put 105, 7, -743/3, -1, -3, -3/7 in descending order. 105, 7, -3/7, -1, -3, -743/3 Sort -11420, 5, -3, -1, 2, 9. -11420, -3, -1, 2, 5, 9 Put -5, 12, 4, 25, 29, 2, -4 in descending order. 29, 25, 12, 4, 2, -4, -5 Put 74, -33/14, -9, 0.5 in descending order. 74, 0.5, -33/14, -9 Put 0.17, -781858, 1 in descending order. 1, 0.17, -781858 Put -1, -46, 2, -238, -8 in ascending order. -238, -46, -8, -1, 2 Sort -11430.81, -5, 0.3, 28. -11430.81, -5, 0.3, 28 Put -5, 1, -52, -931, -2, -3, -4 in descending order. 1, -2, -3, -4, -5, -52, -931 Put -50, -16466, -1, -4 in decreasing order. -1, -4, -50, -16466 Put 1, 4, -11621, 326, 2 in decreasing order. 326, 4, 2, 1, -11621 Put -296, 182, 135 in descending order. 182, 135, -296 Put -82, 85382, 4, -4 in increasing order. -82, -4, 4, 85382 Put 2, 5, 4, -4, -185, -5, 23 in descending order. 23, 5, 4, 2, -4, -5, -185 Put -129614, 11, -5 in increasing order. -129614, -5, 11 Sort 2, -0.1, -10, 5, 32, -2. -10, -2, -0.1, 2, 5, 32 Put -267, 5, 222, 137 in increasing order. -267, 5, 137, 222 Put 525, 295, -23 in decreasing order. 525, 295, -23 Sort 1, 6, -3, 4, 3529, 5 in descending order. 3529, 6, 5, 4, 1, -3 Put -1, 19, -16, 538 in descending order. 538, 19, -1, -16 Put 289/2, -5, -1/2, 0.3, -6 in descending order. 289/2, 0.3, -1/2, -5, -6 Put -228, -1, -16, 20 in increasing order. -228, -16, -1, 20 Sort -2, 0, 35, -40624. -40624, -2, 0, 35 Put 5, -360, -65, 4, 7, 0, 1 in descending order. 7, 5, 4, 1, 0, -65, -360 Sort -13, 24, -1, 3, -199. -199, -13, -1, 3, 24 Put 16824, 2594, 0 in increasing order. 0, 2594, 16824 Put 1/5, 0.116, -9/5, -9, 0.03 in descending order. 1/5, 0.116, 0.03, -9/5, -9 Sort -44.5972, -3, -40 in increasing order. -44.5972, -40, -3 Put 9, 7, 122, -8 in increasing order. -8, 7, 9, 122 Put -8, 265, -0.4, 1.42 in decreasing order. 265, 1.42, -0.4, -8 Sort -12, 2, 30, -183, -3, 0 in decreasing order. 30, 2, 0, -3, -12, -183 Sort 1, 3, -4, -1269, 1311, -1 in decreasing order. 1311, 3, 1, -1, -4, -1269 Sort -49, -22, 5, 2/7, 30 in ascending order. -49, -22, 2/7, 5, 30 Sort -2754.5, -43, -8.9 in decreasing order. -8.9, -43, -2754.5 Sort 2/31, 238.63, 7, 22 in descending order. 238.63, 22, 7, 2/31 Put 68, 0.2, 5, 236, 0.085, -4/7 in decreasing order. 236, 68, 5, 0.2, 0.085, -4/7 Sort 7, -8, -1, 3, -1889 in ascending order. -1889, -8, -1, 3, 7 Sort -5, 195824458, -3 in descending order. 195824458, -3, -5 Sort 4, -4, -115, 254 in increasing order. -115, -4, 4, 254 Sort -2178, 0.3, -42, -1 in descending order. 0.3, -1, -42, -2178 Sort -8781, 1, 463, 5 in ascending order. -8781, 1, 5, 463 Put 3, -133, -26, -13, -1 in descending order. 3, -1, -13, -26, -133 Put -0.4, -1/16, 3.1085, 3 in decreasing order. 3.1085, 3, -1/16, -0.4 Put -3, 1, -4, 31, -44, 14, 8 in descending order. 31, 14, 8, 1, -3, -4, -44 Sort -5, 51, -6109, -2, 3 in increasing order. -6109, -5, -2, 3, 51 Sort -77, -3, -2, 5, 10, 3, -265 in ascending order. -265, -77, -3, -2, 3, 5, 10 Sort -6, -2685, 10, -2, -1, 1 in descending order. 10, 1, -1, -2, -6, -2685 Put 5, -5, 85, -52, 1, -1 in decreasing order. 85, 5, 1, -1, -5, -52 Sort -3, -4/7, -34/423, -0.089 in descending order. -34/423, -0.089, -4/7, -3 Put 13046, -44, 0, -7 in decreasing order. 13046, 0, -7, -44 Sort 116314, -1, 4 in decreasing order. 116314, 4, -1 Put 0, 458478, -5, -4, -3, 4 in ascending order. -5, -4, -3, 0, 4, 458478 Sort -741.2, -9/5, 1314 in decreasing order. 1314, -9/5, -741.2 Put 0.13, 8805, -7.9 in decreasing order. 8805, 0.13, -7.9 Sort 8, -261, 1290 in descending order. 1290, 8, -261 Sort 48145, -2, 12 in decreasing order. 48145, 12, -2 Sort 61, 7, 0, -52, 4, -2 in decreasing order. 61, 7, 4, 0, -2, -52 Sort 1, 1707, -4, -15, 27. -15, -4, 1, 27, 1707 Sort 5, 3, -1, 0, -85843 in decreasing order. 5, 3, 0, -1, -85843 Put 2, -3, 25, -1, 13, 134 in increasing order. -3, -1, 2, 13, 25, 134 Put 14, -0.3, 2, 165097 in decreasing order. 165097, 14, 2, -0.3 Put 46, -4, -6, -10, -43 in decreasing order. 46, -4, -6, -10, -43 Put 790, 9, -7, -4 in decreasing order. 790, 9, -4, -7 Put -10, -781, 9, -0.4, 2, 1/4 in ascending order. -781, -10, -0.4, 1/4, 2, 9 Sort 100, -18, -22 in descending order. 100, -18, -22 Put 15, 11168, 0, 3 in ascending order. 0, 3, 15, 11168 Put 2/5, 14, -3/11, 4, 4/3 in descending order. 14, 4, 4/3, 2/5, -3/11 Sort 5, 0, -1, 31124, -3, 22 in ascending order. -3, -1, 0, 5, 22, 31124 Put -1878, -135, -3, -5, -1, -0.1 in descending order. -0.1, -1, -3, -5, -135, -1878 Put 0.06, 8460, -0.06, 8/9 in increasing order. -0.06, 0.06, 8/9, 8460 Put -19, -75, -13, -9, -5, 5 in ascending order. -75, -19, -13, -9, -5, 5 Sort -1, 768/577, 16 in increasing order. -1, 768/577, 16 Sort -10, -2, 0, 2, 1, -4, -5 in decreasing order. 2, 1, 0, -2, -4, -5, -10 Put -2, -5, 31, -27, -37, 2 in ascending order. -37, -27, -5, -2, 2, 31 Put -0.06, 189, 171 in descending order. 189, 171, -0.06 Put -5, -4, 2, 486, 84 in decreasing order. 486, 84, 2, -4, -5 Put 1966, -3, 1/427, 0 in ascending order. -3, 0, 1/427, 1966 Put -8, -42, 5, -5, 7435 in descending order. 7435, 5, -5, -8, -42 Sort 4, 12, 3, -29, 20147, -2 in ascending order. -29, -2, 3, 4, 12, 20147 Sort 1/562, 0.27, -3/4, -2/387 in increasing order. -3/4, -2/387, 1/562, 0.27 Sort -6, -78, -2, -3 in ascending order. -78, -6, -3, -2 Put 1, -30, -121732, -2 in increasing order. -121732, -30, -2, 1 Sort 7864, -3, 6317 in descending order. 7864, 6317, -3 Sort -3997, -2, -3, -4, -1185 in decreasing order. -2, -3, -4, -1185, -3997 Put -6757, -16, 9/4 in descending order. 9/4, -16, -6757 Sort -2, -9, 23, 46 in decreasing order. 46, 23, -2, -9 Sort -5, -111, -2, -2/1603 in ascending order. -111, -5, -2, -2/1603 Put -8/7, -2/13, -3/7405 in ascending order. -8/7, -2/13, -3/7405 Sort -125, -48670, -169 in increasing order. -48670, -169, -125 Sort -1191, 1, -5, -11, 339. -1191, -11, -5, 1, 339 Sort -9, -0.2, 1094.6 in descending order. 1094.6, -0.2, -9 Put -41, -1153, -1, 3, -4, 0 in decreasing order. 3, 0, -1, -4, -41, -1153 Sort 55/888, 1/9, 1/3. 55/888, 1/9, 1/3 Sort 4, 1, -25053, 33, -2 in descending order. 33, 4, 1, -2, -25053 Sort -1, -2, -366, -7769 in descending order. -1, -2, -366, -7769 Sort -155, -31, 2, 3, 0, 7. -155, -31, 0, 2, 3, 7 Sort 4, -785, -308683 in increasing order. -308683, -785, 4 Put 129, -9759, -27 in decreasing order. 129, -27, -9759 Put -1, 37, 5, 213, 8 in ascending order. -1, 5, 8, 37, 213 Sort -1/46, -0.26, -1, 8/5. -1, -0.26, -1/46, 8/5 Put 1, -101, 3, 7/4, -1, -1/2 in descending order. 3, 7/4, 1, -1/2, -1, -101 Put -383, -4028, 1, -56 in decreasing order. 1, -56, -383, -4028 Put 76, 104, -2, -6, -174, 1, 3 in increasing order. -174, -6, -2, 1, 3, 76, 104 Sort -4, -43, 105, 3, 22, 4. -43, -4, 3, 4, 22, 105 Put -13, 4, 31158 in increasing order. -13, 4, 31158 Sort -120, 2, -5.61, 2/5, 3, 0 in descending order. 3, 2, 2/5, 0, -5.61, -120 Sort -89, 1594, -5, 24, -2/5, 0.4. -89, -5, -2/5, 0.4, 24, 1594 Put 5016, -8, 6, -1, -48 in ascending order. -48, -8, -1, 6, 5016 Sort -0.068617, -4, -2.2. -4, -2.2, -0.068617 Sort -1567/13, -16, -5/2, 2/7, -7 in descending order. 2/7, -5/2, -7, -16, -1567/13 Sort 683, 1770, 5. 5, 683, 1770 Put -4, 3, -21250, 1, -3, 5 in decreasing order. 5, 3, 1, -3, -4, -21250 Put -1, -4, -5, 48345, 5 in decreasing order. 48345, 5, -1, -4, -5 Put -4, 5, 0.2, -2, 451/7, 3/7, 89 in decreasing order. 89, 451/7, 5, 3/7, 0.2, -2, -4 Put -0.5, 0, 0.5, -3, -44540 in increasing order. -44540, -3, -0.5, 0, 0.5 Put -750, 12, 9, 61 in descending order. 61, 12, 9, -750 Put -4, -640, -2, -1/4, -50, -0.46 in descending order. -1/4, -0.46, -2, -4, -50, -640 Put -9.3, 1, 63226 in ascending order. -9.3, 1, 63226 Sort
{ "pile_set_name": "DM Mathematics" }
s = 11 + z. What is the units digit of s? 2 Let r(z) = 162*z**2 - z + 1. What is the units digit of r(1)? 2 Let q = 2 + 0. Suppose 45 = -m - q*m. Let d = -7 - m. What is the units digit of d? 8 Suppose 4*n - 8 = -0*n. Suppose -31 = -n*z + 9. What is the tens digit of z? 2 Let s = 370 + -227. What is the hundreds digit of s? 1 Let g(u) be the second derivative of u**3/2 - 2*u**2 - 3*u. What is the tens digit of g(5)? 1 Suppose -41 - 121 = -6*d. What is the units digit of d? 7 Suppose -5*t + 0*g = -3*g + 3, 0 = -t - g - 7. What is the units digit of (2/(-5))/(t/45)? 6 Suppose -4*t - t - 3*q = -92, t = 3*q + 4. Let h = 28 - t. What is the units digit of h? 2 Let w(d) = -17*d + 5. Let a(t) = -6*t + 2. Let y(f) = -11*a(f) + 4*w(f). Let z be (-16)/2 + -2 + 3. What is the units digit of y(z)? 2 Let i = -26 - -102. What is the tens digit of i? 7 Suppose -4*v - 2*j + 229 = -287, 4*v - 5*j - 502 = 0. What is the hundreds digit of v? 1 Suppose -z + 7*z - 858 = 0. What is the tens digit of z? 4 Let b(t) = 3*t - 6. Let u be b(2). What is the units digit of 0 + u + 378/9? 2 Let y(g) = -15*g**3 - g**2. Let w be y(1). Let u = -20 + 43. Let p = u + w. What is the units digit of p? 7 Suppose -j = j - 8. Let g be ((-4)/5)/(j/(-20)). What is the units digit of 2*(-2)/g*-5? 5 Let r(s) = s**2 - 1 - 3*s + 7*s + 0*s. What is the units digit of r(-5)? 4 Suppose 0 = -6*g + 7*g - 25. What is the tens digit of g? 2 Let y = 25 - 9. Let b(p) = 7*p**2 + 2*p. Let m be b(-1). Suppose -3*t + m - y = -4*j, -2*j = 2*t - 16. What is the units digit of j? 5 Let g = -141 - -87. Let w = g - -75. What is the tens digit of w? 2 Let p(f) = 16*f**2 - 5*f + 18. What is the units digit of p(4)? 4 Suppose 2*d - 7 = -c, 0*d - 64 = -4*c + d. Suppose 2*m + 4 = p, 0 = -4*m - m - c. What is the units digit of (p/(-4))/(3/6)? 1 Suppose -5*x + 2*q + 14 + 63 = 0, 4*x - 65 = 5*q. Let t = -2 + x. What is the units digit of t? 3 Let t be (-4)/((-16)/4)*4. Suppose t*w - 39 - 93 = 0. What is the tens digit of w? 3 What is the units digit of (-4 - -5)/(3/33)? 1 Let x(o) = o**3 - o**2 + o + 39. Suppose -4*y = -0*y. Let f be x(y). Suppose f = 5*s - 2*u, -5*s + 4*u + 37 = 3*u. What is the units digit of s? 7 Let w(h) = 5*h**2 - 1. Suppose 0 = -3*t - 0 - 3. Let s be w(t). Suppose -12 = -s*p - 0. What is the units digit of p? 3 Let a = 14 + -3. Let v = -5 + a. What is the units digit of v? 6 Let g(w) = w**3 + 7*w**2 - w - 8. Let q be g(-7). Let v be (63 - -2) + (2 - q). Suppose -b + 5*b - v = 0. What is the tens digit of b? 1 Suppose 0 = p - 4*i - 65, -5*i + 10*i + 20 = 0. What is the tens digit of p? 4 Suppose -6*d + 160 = -d. What is the units digit of d? 2 Let g(s) = s**2 + 10*s - 1. Let n(u) = -2*u**2 - 20*u + 1. Let f(k) = -5*g(k) - 2*n(k). Let m be f(-7). Suppose 4*i - m = 2*i. What is the units digit of i? 2 Suppose 3*g - 6 = 3*k, -4*g - 4*k - 6 = 2. Suppose g = -n + 4 - 0. What is the units digit of n? 4 What is the tens digit of 6/2 + 4*21? 8 Let k be (-14)/(-2) - 0/(-2). Let y(n) = -n**2 + 9*n - 6. What is the units digit of y(k)? 8 Let r(k) = k + 7. Let v be r(-5). Suppose 50 = 4*g - 0*n - v*n, 5*n = 3*g - 48. What is the units digit of g? 1 Let j = 0 + 2. Suppose 5*g + 16 = -3*d, -4*d + j*g + g = -27. Suppose k = -0*k + d. What is the units digit of k? 3 Let j(v) = -v**3 + 3*v**2 + v + 4. What is the units digit of j(-3)? 5 Let q be (9/6)/(3/52). Suppose q = -3*y - 7. Let r = 15 + y. What is the units digit of r? 4 Suppose -4*l = -3*l - 9. Let o be (-20)/9 + 2/l. Let u = o + 4. What is the units digit of u? 2 Let c be (-100)/(-5)*2/(-4). Let n = 18 + c. What is the units digit of n? 8 Let m(v) = -3*v - 2. Let c be m(-2). Suppose 0 = -c*o + 3*q + 40, o + 11 = 2*o - q. What is the units digit of 2/2 + -3 + o? 5 Let b(f) = -f**2 + f + 1. Let q(u) = u**2 + 3*u - 1. Let i(g) = -2*b(g) - q(g). Let n be i(4). What is the units digit of 1/n - 82/(-10)? 8 Suppose 3*f = -4*p + f + 192, -5*p + 2*f + 222 = 0. What is the units digit of p? 6 Let d(j) = j**3 + 5*j**2 + 4*j + 2. Let m be d(-4). Suppose 0*f + 54 = m*f. What is the tens digit of f? 2 Suppose -20 = -v + 7. Suppose -h = 2*h - v. What is the units digit of h? 9 Let x be (-4)/(-6) - 28/(-12). Suppose 0 = -y + 5 - x. Suppose -3*q + 3*v + 24 = 0, 4*q + y*v - 8 = -2*v. What is the units digit of q? 5 Suppose -q + 2*a = -38, -5*q = 2*a - 0*a - 250. Suppose -4*j + q = -2*j. What is the units digit of j? 4 Let n = -141 - -210. What is the units digit of n? 9 Let i(j) = -11*j - 3. Let d be i(-9). Suppose 3*z - p - 130 = 0, 3*z - 5*z = -3*p - d. What is the units digit of z? 2 Suppose t + 0 = -1. Let n be 4/4 + (t - 0). Let w = n - -4. What is the units digit of w? 4 Suppose 0 = -h + k + 64, 0 = 4*h + k + 3*k - 272. What is the units digit of h? 6 Let r(a) = -2*a**2 + 2*a + 1. Let j be r(2). What is the units digit of 3/(-2)*16/j? 8 Suppose -10*t = -1161 - 259. What is the hundreds digit of t? 1 Let g = -10 - -17. Suppose 0 = -3*h - 4 + g. Suppose 0 = -o + 22 - h. What is the units digit of o? 1 Let a = -5 - -6. What is the tens digit of (19 + -1)*(a - 0)? 1 Let s(j) = j**2 + j - 4. Let c be 15/(-3) - 2*-1. Let g be s(c). Suppose 0 = -2*t - g + 18. What is the units digit of t? 8 Suppose -5*g + 3 = 18, -15 = 5*f + 5*g. Let x = f + 2. Suppose 7 + 3 = 2*o - x*p, -5*o = 4*p - 7. What is the units digit of o? 3 Suppose 9 = 3*o - 0*o. Suppose -2*s = s - w - 44, o*s = -w + 34. What is the units digit of s? 3 Let m be 3/3 + 4 + -3. Let f be -3*-1*m/2. Suppose -2*t - f*t = -65. What is the tens digit of t? 1 Let d(b) = -b + 8. Suppose -5*t + 30 = -0*t. Let u be d(t). What is the units digit of (-8)/u*-2 + -2? 6 Let o(q) = -7*q**2 - 10*q - 8. Let x(b) = 4*b**2 + 5*b + 4. Let y = -1 + -4. Let h(l) = y*x(l) - 3*o(l). What is the units digit of h(-6)? 0 Suppose 4*l = 1 - 5. Let v(d) = -d. What is the units digit of v(l)? 1 Let h = -17 - -21. Suppose 97 = h*m + l, -3*m - 3*l = 2*l - 94. What is the units digit of m? 3 Suppose 2*c + 2*a = 74, 2*c - 67 - 27 = 3*a. What is the units digit of c? 1 Let a(j) = 24*j + 22. What is the hundreds digit of a(6)? 1 What is the tens digit of (8/(-10))/(0 - 2/215)? 8 What is the units digit of ((-30)/4)/(51/(-68))? 0 Let y be ((-84)/18)/((-2)/3). Let z be 72/y + (-20)/70. What is the units digit of (-15)/z*(-2)/3? 1 Suppose -v + 13 = 5*d, -2*v - 23 + 7 = -4*d. Suppose 0 = 4*s - d - 13. Suppose -2*m = -s - 4. What is the units digit of m? 4 Let o(g) = g**3 - 5*g**2 - 6*g + 2. Let m be o(6). Suppose 0 = n - m*p - 5, -p = -0*p - 1. What is the units digit of n? 7 Let d = 135 - 27. What is the units digit of d? 8 Let q = -7 - -11. Suppose q*k - 55 = -k. What is the units digit of k? 1 Let r(v) = v**3 - 3*v**2 - 5*v + 6. Let u be r(4). Let a = 2 + u. Let z = a - 3. What is the units digit of z? 1 Let i be 4/14 + 206/14. Let h be (12/i)/((-2)/50). What is the units digit of (-2)/(-10) + (-36)/h? 2 Suppose 0 = -5*q + 5*h + 865, 6*q = 2*q + 2*h + 696. What is the hundreds digit of q? 1 Suppose 3*o = 4*x + 268, 5*o = o - x + 389. Suppose -b - 5*s + 60 = 3*b, -5*b - s + o = 0. What is the tens digit of b? 2 Let y(h) = -h**3 - 10*h**2 + 24*h - 10. What is the units digit of y(-13)? 5 Suppose -3*y = -4*y + 2. Suppose -y*s + 60 = 3*g, -g + 4 = 5*s - 3. What is the tens digit of g? 2 Let f = 26 + 30. What is the tens digit of f? 5 Let p = 8 + 53. What is the units digit of p? 1 Let p = -9 + 10. Suppose 2*k + 5*o = -1, o + 0*o - p = 0. What is the units digit of k*1 - (-46)/2? 0 Let g(i) = i**3 - 9*i**2 + 7*i + 3. Let j be g(8). Let v be ((-8)/10)/(2/j). Suppose 4*r - 14 = -v*t, 4*r + 2*t = -3*t + 29. What is the units digit of r? 1 Suppose -2*c + 40 = -0*c + p, 5*c = p + 107. Suppose -5*x + 94 = -c. What is the units digit of x? 3 Let r(g) = -g**2 + 6*g - 1. Let w be r(5). Suppose 5*d = 4*l - w, 0*l - 1 = 4*d - l. Suppose 4*u + d*u - 20 = 0. What is the units digit of u? 5 Let s = 23 - 16. Suppose -132 = 3*o - s*o. What is the tens digit of o? 3 Suppose 3*v + 3 = 3*u + 6, 31 = 4*u + 3*v. Suppose 0 = u*c - 7*c + 69. What is the tens digit of c? 2 Let r be 2 - 0/3*1. Let q = r - 3. What is the units digit of (-1)/(-1) + 2 + q? 2 Let n(j) = j**3 + 6*j**2 + 2. Let c be n(-6). What is the units digit of ((-1)/((-1)/c))/1? 2 What is the tens digit o
{ "pile_set_name": "DM Mathematics" }
- 0. What is the highest common divisor of c and p? 2 Let b = 64 + -34. Suppose 7*f - 3458 = -581. Let l = -141 + f. Calculate the highest common divisor of l and b. 30 Let k = -410 + 600. Let d(o) be the second derivative of o**3/3 + 49*o**2/2 - 28*o. Let r be d(-15). What is the greatest common factor of r and k? 19 Suppose -149 - 68 = -a. Suppose 4*j - m - 3 = 0, 0 = 2*j - 5*j - m - 3. Suppose 13*c - 4*c - 279 = j. Calculate the highest common factor of c and a. 31 Suppose 2*g - g = -2. Let s = -27 + 31. Let w be ((-88)/2)/(g/s). Calculate the highest common factor of w and 8. 8 Suppose -4*j = -6*j. Suppose j = -0*r + 3*r - 12. Let x be -5 - ((-66)/3 - 3). Calculate the highest common divisor of x and r. 4 Suppose -7*s + 768 = 4*d - 11*s, d - 4*s = 207. Suppose -4*i - 2*o = -5*o - 62, -24 = -2*i + 5*o. Calculate the greatest common factor of i and d. 17 Let x be -4*2/((-8)/(-2)). Let q(s) = 12*s + 248. Let k be q(-20). Let v = k + x. What is the greatest common divisor of v and 4? 2 Let v(l) = l**3 + 2*l**2 - 3*l - 1. Let j be v(2). Let o = 89 + -13. Suppose -5*u - o = -j*u. What is the highest common factor of 133 and u? 19 Let h be -10*(-1 + (-2)/10). Suppose -3*u + h = u. Suppose u*q + 30 = 4*q. What is the highest common factor of q and 15? 15 Let p = 109 + -54. Suppose 4*d + 58 = 2*j, -9*j - d = -11*j + p. What is the greatest common factor of j and 297? 27 Suppose 3*i - 59 = -0*i + 4*n, 4*n = 5*i - 85. What is the highest common factor of i and 2977? 13 Suppose -642*w = -646*w + 224. What is the highest common divisor of 24 and w? 8 Let p = 215 + -199. Calculate the greatest common factor of 32 and p. 16 Suppose -5*y = 36*y - 1107. What is the highest common divisor of 891 and y? 27 Suppose c = 2 + 11. Let t be 1/(-6) - 1/(-6). Suppose t = -k + 22 + 4. Calculate the greatest common factor of c and k. 13 Suppose 8 + 34 = 7*r. Let q be 8/r*(27 + -12). Calculate the highest common factor of q and 4. 4 Suppose 3*s - 35 - 61 = 0. Let n be ((56/21)/1)/(2/3). Calculate the greatest common factor of s and n. 4 Let g be 1894/30 - ((-104)/120 + 1). Calculate the highest common factor of g and 21. 21 Suppose 0 = 1273*a - 1272*a - 150. Calculate the highest common factor of a and 90. 30 Let w = 1077 - 1049. Calculate the highest common divisor of 686 and w. 14 Suppose 3*g = -2*g + 45. Let h be (0 + g/(-15))*-5. Let x = 46 + -19. What is the highest common divisor of x and h? 3 Let i = -42 + 92. Let f = 16 - 7. Suppose -3*h = -21 - f. What is the highest common divisor of h and i? 10 Let q(o) = o**2 - 15*o - 51. Let c be q(18). Let k = 6 + -4. Suppose k*m + 4*p = -m + 95, -2*m = -5*p - 71. What is the highest common divisor of m and c? 3 Let w(m) = 2*m**3 - 2*m**2 + m + 2. Let a be w(2). Let q = 74 - 66. Calculate the greatest common factor of a and q. 4 Suppose 30*f = 27*f + 15. Suppose 15 = w - 4*g - 5, f*g - 53 = -2*w. What is the greatest common divisor of w and 36? 12 Suppose -4*n - 4*v + 184 - 68 = 0, 0 = -5*n + 5*v + 125. Let j = n + -19. What is the greatest common factor of j and 64? 8 Let w be (6 - -5) + (0 - 1). Let r(o) = -3*o**3 - 5*o**2 - o. Let q be r(-4). Let t = -46 + q. What is the greatest common divisor of w and t? 10 Let x be (-11)/4*(-15 - (-11)/1). Let h = 14 + -9. Suppose 0 = 2*d - 3*n - 117, 3*n - 427 = -h*d - 82. What is the highest common factor of d and x? 11 Suppose 2*a + 26 = 4*b, -21 = -3*b + 3*a - 0*a. Suppose 3*y - 3*u = -b*u + 90, 5*y = -u + 166. Calculate the greatest common factor of 85 and y. 17 Let o = -20 + 24. Suppose 11 = -2*v - 3*i, -5*v = i + o - 9. What is the highest common divisor of 2 and v? 2 Suppose -h + b + 164 = 2*h, 212 = 4*h - 3*b. Suppose 5*k - 4*m = 3*k + h, -2*m - 10 = 0. Calculate the greatest common factor of 54 and k. 18 Let l(v) = 2*v. Let r be l(4). Let y(k) = -k**3 - 5*k**2 - 5*k - 2. Let f be y(-4). Suppose 9 + 55 = f*j. Calculate the greatest common divisor of j and r. 8 Let w be (7/1)/(1/2). Suppose -2*v + 3*p = -5*v - 63, 0 = 3*v - 2*p + 43. Let m = 24 + v. Calculate the highest common divisor of m and w. 7 Let f = -2070 - -2410. What is the highest common divisor of f and 4? 4 Let g = 35 - -5. Suppose -5*c + 185 = -g. Suppose h + 4*h - c = 5*y, 3*h + y = 47. What is the greatest common divisor of 126 and h? 14 Suppose -4*s = -5*z - 9, -2*s - z = 2*s + 21. Let n be 143/2 + (-2)/s. Let j = 19 - 1. What is the greatest common factor of j and n? 18 Suppose -2*t = -t - 54. Suppose 2*z - t = -20. Let b = z + -7. Calculate the greatest common divisor of b and 25. 5 Let z(n) = 12*n - 8. Let x be z(-12). Let p = 212 + x. What is the greatest common factor of 150 and p? 30 Let o = -372 - -387. Let n(j) = -j + 75. Let a be n(0). Calculate the highest common divisor of a and o. 15 Let t(k) = 2*k**2 + 34*k - 65. Let d be t(-20). Suppose -4*o = -7*o - 3*n + 3, n = -5*o + 21. Calculate the highest common factor of o and d. 5 Suppose 675 - 4503 = -12*w. What is the highest common divisor of w and 29? 29 Suppose 0 = -2*i + 3*i + 3, 2*i + 74 = 4*p. What is the greatest common factor of p and 136? 17 Let r = -1007 - -1023. Calculate the greatest common factor of r and 2. 2 Suppose 0 = -27*y + 894 + 1671. Calculate the greatest common divisor of y and 20. 5 Suppose 5*z - 48 = -y + 505, 2*y - 116 = -z. Calculate the greatest common divisor of 44 and z. 22 Let g be 6 + 74*(3 - 2). Calculate the greatest common divisor of g and 16. 16 Suppose 2*h = 5*m - 115, 7*m + 3*h = 3*m + 92. Let s be 1032/15 + (-5)/(-25). Calculate the greatest common divisor of m and s. 23 Suppose 8*b - 13013 = -4173. What is the greatest common factor of b and 85? 85 Suppose 6 = 5*s - 54. Let x be 252/(-6) - (1*-1 + -1). Let w be ((-192)/20)/(s/x). What is the greatest common factor of 4 and w? 4 Suppose 4*j - 3*x - 251 = 141, 5*x - 490 = -5*j. Suppose -205 = -5*u - 5*b, u + 2*u - 2*b - j = 0. What is the highest common divisor of 18 and u? 18 Let i be -3*-3*(-4)/18. Let t be (6/7)/(i/(-28)). What is the highest common divisor of t and 108? 12 Let c be 45 - (400/65 + 11/((-143)/2)). Let v = -4 - -6. Let t be 5*5 - (v - 3). What is the greatest common factor of t and c? 13 Suppose 25*i - 22*i + 69 = f, 0 = -3*f + 2*i + 172. Calculate the greatest common divisor of f and 4. 2 Let t(m) = 12*m + 373. Let p be t(-30). Calculate the highest common factor of p and 949. 13 Suppose 0 = 116*m - 114*m - 70. Let g be 62/7 + 5/m. Let u = 14 - -31. Calculate the highest common divisor of g and u. 9 Suppose -4*s = 5*z - 1330, -5*z + 475 = 3*s - 860. Calculate the greatest common divisor of 10 and z. 10 Suppose -5*z + 5*r + 15 = 0, -4*r = 4*z - 3 - 1. Suppose -3*x - 11 = -2*t, z*t = t + 3*x - 2. What is the greatest common factor of 52 and t? 13 Suppose 4*z - 29 = 4*s + 15, -2*z = -5*s - 13. Suppose 8*k + 784 = 15*k. What is the highest common divisor of k and z? 14 Suppose 0 = d - 2*w - 14, 23*d - 36 = 19*d + 3*w. What is the highest common divisor of d and 51? 3 Suppose 0 = o - 1 - 2. Suppose -244 = -4*g + 3*v + 2*v, -4*v + 214 = o*g. Let w = 130 - g. What is the greatest common divisor of 8 and w? 8 Let m be (-2948)/(11/(-1)) + 0 + -4. Calculate the greatest common factor of 24 and m. 24 Suppose -2*r + 22*o - 19*o = -8, -5*r = 2*o - 1. What is the highest common divisor of r and 73? 1 Let b(u) = -25*u - 231. Let a be b(-15). Calculate the highest common divisor of 12 and a. 12 Let y(b) = 26*b - 64. Let l be y(4). What is the highest common factor of 72 and l? 8 Suppose 35 - 10 = b. What is the greatest common divisor of 50 and b? 25 Suppose -2*m + 1 + 31 = 0. Suppose f - 5*f = -m. Suppose 3*y - 5*g = -7*g + 34, -g + 32 = 3*y. Calculate the greatest common divisor of f and y. 2 Let r(q) = -3 - 2*q + 5*q - 2 - 2. Let h be r(5). Suppose 5*t = h*t - 48. What is the greatest common divisor of 40 and t? 8 Suppose 0 = -22*j - 28*j + 600. What is the highest common divisor of 28 and j? 4 Let u(f) = 7*f - 10. Let a be u(7). Let b be (-9)/(0 + 1/(-39)). What is the highest common factor of a and b? 39 Suppose 9*l - 3*d = 5*l + 32, 5*l - 4*d = 41. What is the highest common factor of l and 2? 1 Suppose -3*w + 2*y + 58 = 0, -w + y = -2*y - 17. Suppose -520 = 71*z - 123*z. Calculate the highest common divisor of z and w. 10 Suppose -13 = -g + 2*g -
{ "pile_set_name": "DM Mathematics" }
z**3/3 + 3*z**2 + z. What is the remainder when 52 is divided by b(-6)? 16 Suppose 75 = 6*k - 15. What is the remainder when 57 is divided by k? 12 Suppose 6 - 27 = -3*r. Let g(x) = 6*x. What is the remainder when g(r) is divided by 11? 9 Let o(u) = -4*u + 2*u + 5*u - u - 6 + 2*u**2. What is the remainder when o(-4) is divided by 10? 8 Suppose 47 + 13 = 5*f. Let k(v) = v**2 + 8*v - 29. What is the remainder when k(-14) is divided by 2 + 0 + 1*f? 13 Suppose -37 - 27 = -2*a - 5*r, 5*a - 131 = 2*r. Suppose 31 = 2*v - a. What is the remainder when v is divided by 11? 7 Let w(f) = 2*f + 1. Let b be w(-5). Let t = 54 + b. What is the remainder when t is divided by 12? 9 Suppose 0 = 2*j - 9 - 3. Suppose 2*y - g - 2 + j = 0, -8 = -2*g. Suppose y*i = -5*i + 130. What is the remainder when i is divided by 14? 12 Suppose 0*d = -2*d + 70. Let r = d + -24. What is the remainder when 32 is divided by r? 10 Suppose 110 = 5*f - 165. Suppose 3*u + 52 = 3*y + 4*u, -4*y + 61 = 3*u. What is the remainder when f is divided by y? 17 Let a be (-2)/6 + (-26)/(-6). Suppose 41 + 3 = a*r. What is the remainder when 30 is divided by r? 8 Suppose -f = -2*r + 70, -r - 5*f = -4*f - 29. What is the remainder when r is divided by 9? 6 Suppose 0 = -5*k + 21 + 104. What is the remainder when k is divided by 10? 5 Let h(u) = -3*u - 4. Let z(s) = s**2 - s + 7. What is the remainder when z(7) is divided by h(-7)? 15 Let s(f) be the first derivative of f**3/3 + 3*f**2/2 + 9*f - 5. Let k be s(-7). Suppose -3*o + k = -23. Calculate the remainder when o is divided by 11. 9 Let h(g) = 2*g**2 + 7*g + 4. Calculate the remainder when 47 is divided by h(-4). 7 Suppose 0 = -q - 0 + 1. Calculate the remainder when 20 is divided by 14 - 3 - (q + 3). 6 Let c(t) = -2*t**3 + 2*t**2 + 0*t**3 + 3*t - 3 + t**3 + 0. Let u be c(2). Suppose u*j = -0*j + 78. What is the remainder when j is divided by 9? 8 Calculate the remainder when 15 is divided by 2/(-7) + (-120)/(-28). 3 Let a = -6 - -13. Suppose 3*o + v = 11 + 46, 0 = 3*o + 2*v - 57. Calculate the remainder when o is divided by a. 5 Let c = -6 + 37. Suppose 2*s = 4*d - 9 - 29, 2*d + 2*s = 28. What is the remainder when c is divided by d? 9 Calculate the remainder when 48/14*((-231)/(-2))/11 is divided by 19. 17 Let g(f) = -24*f**3 + f**2 + f. Let k be g(-1). Let i = k - 11. Calculate the remainder when 25 is divided by i. 12 Let o(d) = 4*d + 1. Let n be o(1). Let s be (-20)/8*(-4)/n. Calculate the remainder when (4 + 9)/(s/4) is divided by 14. 12 Suppose -21 - 23 = -4*d. Suppose -d = -w - 0*w. What is the remainder when 31 is divided by w? 9 Calculate the remainder when (2*-1)/((-2)/7) is divided by (-3)/(6*2/(-16)). 3 Suppose 2*k + 3*d - 2 = 0, 5*k + 0*d - 16 = -2*d. Calculate the remainder when k is divided by 1. 0 Suppose -i = 2*y + 4*i - 71, 3*y + 4*i - 117 = 0. Calculate the remainder when y is divided by 31/3 - 2/(-3). 10 Calculate the remainder when 33 is divided by 14/91 + 89/13. 5 Let z(v) = v**2 - v - 2. Calculate the remainder when z(-7) is divided by 28. 26 Suppose -g + 18 + 20 = 0. Calculate the remainder when g is divided by 8. 6 Let t = 32 + -7. What is the remainder when 48 is divided by t? 23 Suppose 0 = 4*o + 8, 52 = 3*z + o - 0*o. What is the remainder when z is divided by (6/(-4) - 2)*-2? 4 Suppose -11*r = -6*r - 20. Calculate the remainder when r is divided by 3. 1 Suppose 2*q = 2*m - 18, -5*m + 3*q + q + 43 = 0. Let w(c) = -c**2 + 10*c + 2. What is the remainder when w(m) is divided by (-4)/14 + (-58)/(-7)? 7 Let r = 30 - 16. What is the remainder when 69 is divided by r? 13 Let f(b) = b + 21. Suppose 0*d = -d. What is the remainder when f(d) is divided by 11? 10 Let t = -114 - -163. Let c(u) = 18*u**3 - 2*u**2 + 2*u - 1. What is the remainder when t is divided by c(1)? 15 Suppose 0 = 4*o - 20, 2*n + 4*o - 100 = -3*n. Suppose 2*x - 7 = 5. What is the remainder when n is divided by x? 4 Let x(l) = 0*l + 2*l + 3*l - 8*l + 8 + l**2. Suppose 5*s - 40 = j - 6*j, j + 4*s = 5. What is the remainder when x(6) is divided by j? 8 Suppose -5*i - 35 = -3*x, 4*i = -10 - 6. Suppose h = 1 + 3, -4*a = x*h - 224. Calculate the remainder when a is divided by 18. 15 Let y(z) = -z**3 + 2*z + 1. Let g(n) = n - 9. Let k be g(7). What is the remainder when 19 is divided by y(k)? 4 Let i(x) = -x**2 + 4*x + 7. Let s be i(5). Suppose 5*b - 155 = 2*f + 2*f, -s*f + 71 = 3*b. Calculate the remainder when b is divided by 7. 6 Let q(a) = -a**2 - 9*a + 5. Let j be 3 + 2/(-2) - 5. Calculate the remainder when 3/(j/(-14)) + 0 is divided by q(-9). 4 Let a = 32 + -19. Let g = a + 37. Suppose n - g = -n. What is the remainder when n is divided by 9? 7 Calculate the remainder when 39/3 + 3 + -3 is divided by 7. 6 Suppose 3*n + 1 = -2. What is the remainder when 23 is divided by ((-60)/(-35))/(n/(-7))? 11 Suppose w + 10 = 2*w. What is the remainder when 37 is divided by w? 7 Let k(o) = o**2 - 7*o + 5. Let b(d) = 6*d - 13. Let a be b(9). Let p = a - 17. Calculate the remainder when p is divided by k(8). 11 Let v = 2 - -1. What is the remainder when 5 is divided by v? 2 Let k = -34 + 60. Let o be 16/12*1*3. Suppose o*w + 86 = 5*s, -4*s - s + 58 = 3*w. What is the remainder when k is divided by s? 12 Let z(s) = 3*s - 7. Calculate the remainder when z(7) is divided by 5. 4 Let t be 2/3*(0 + 3). Let d(b) = 3*b - b + 0*b. What is the remainder when 11 is divided by d(t)? 3 Let c be (1 + 0)*(-1 + 0). Let r be 1/(3/(-12)*c). Calculate the remainder when 48/r + -1 + 0 is divided by 4. 3 Let z(o) = -3*o - 1. Let d(j) = j + 6. Let l be d(-8). Calculate the remainder when 9 is divided by z(l). 4 Let j(z) = -5*z - 7. Let v be j(-5). Let r be 0 - (-1)/(-2)*v. What is the remainder when 26 is divided by 42/r*(-3)/2? 5 Suppose 2*j + 0*j = 44. Let x = 45 - 20. Suppose -23 = -4*w + x. Calculate the remainder when j is divided by w. 10 Let j(v) = -v**2 + 6*v + 3. Let p be j(7). What is the remainder when 36 is divided by (-19)/(-4)*-1*p? 17 Suppose -3*q - y + 16 = 0, -5*y = q - 4 - 6. What is the remainder when 6 is divided by q? 1 Suppose 3*w = 3*x - 5*x + 81, 3*x - 4*w = 147. What is the remainder when x is divided by 16? 13 Let t(i) = -i**3 - 7*i**2 + 9*i + 17. Let c = -19 + 54. What is the remainder when c is divided by t(-8)? 8 Let g(c) = -2*c**2 + 0*c**2 + 2 - 2*c**3 - 2*c + 4*c. Let j be g(-2). Let y(s) = s**3 - 7*s**2 + 6*s + 5. Calculate the remainder when 8 is divided by y(j). 3 Let x = 84 - 75. Calculate the remainder when 51 is divided by x. 6 Let i(y) = 0 - 8*y - 4 - 4 - y**2. Let f be i(-6). Suppose 15 = f*n - n. Calculate the remainder when 7 is divided by n. 2 Let i(j) = j - 4. Let d be i(6). Suppose n - 36 = -d*n. What is the remainder when 17 is divided by (-3 - (3 + -3)) + n? 8 Let a be 5*1*(-1 - -2). Suppose a*c + 0*c = 10. Calculate the remainder when 2 is divided by c. 0 Let f(c) = c + 20. Let j be f(-11). Let m = 15 - j. Suppose 4*r + 10 = m*r. What is the remainder when r is divided by 2? 1 Let v(t) = 27*t - 3. Calculate the remainder when v(2) is divided by 13. 12 Let k = 61 + -2. Calculate the remainder when k is divided by 20. 19 Let y = 5 - 9. What is the remainder when 23 is divided by ((-2)/y)/((-3)/(-72))? 11 Let y be (-28)/(-21)*57/2. Suppose -3*m + 6*c + y = 2*c, 0 = 3*m + c - 28. Calculate the remainder when 19 is divided by m. 9 Let v = 67 + -48. What is the remainder when 74 is divided by v? 17 Suppose 4 = 8*y - 36. Calculate the remainder when 8 is divided by y. 3 Suppose -5 = -5*w, -3*t + 33 = -5*w + 2. Suppose 0*a = a - 4. Suppose h + 75 = 2*z + 6*h, a = 4*h. What is the remainder when z is divided by t? 11 Let v(b) = 2*b**2 - 8*b + 3. Let o(r) = -5*r**2 + 23*r - 8. Let j(z) = -3*o(z) - 8*v(z). Calculate the remainder when 7 is divided by j(-4). 3 Let q(n) = -8*n + 9. Calculate the remainder when q(-11) is divided by 11. 9 Let d(q) = -q**3 + 6*q**2 + 2*q - 7. Let s be d(6). Suppose 2*v - 2 + s = x, 3*v = -4*x + 56. Calculate the remainder when 21 is divided by x. 10 Suppose 0 = 4*t + 5*i - 41, -2*i = -t + 2*i - 16. Suppose 3*d + 54 = 5*a - 0*a, -5*a - t*d = -68. Calculate the remainder when 47 is divided by a. 11 Calculate the remainder when 13 is divided by (-98)/(-21) - (-2)/6. 3 Let b be (-26)/(-2) + (1 - 0). Suppose -98 = -5*o - 4*h,
{ "pile_set_name": "DM Mathematics" }
2591610? 2591607 In base 5, what is -1120143 + 4302? -1110341 In base 4, what is -311321020231 - -1? -311321020230 In base 7, what is 11 - -25031500? 25031511 In base 6, what is -2 + 1432404503? 1432404501 In base 7, what is 10661533415 + 2? 10661533420 In base 12, what is -2a36405b - 3? -2a364062 In base 7, what is -2 - 15254630? -15254632 In base 2, what is 10101100010011011 + 11100011011? 10101111110110110 In base 4, what is -2213301103 - 1112? -2213302221 In base 5, what is 3201 - -102444? 111200 In base 9, what is -12 - 28555761? -28555773 In base 14, what is -1 + -1811ad2? -1811ad3 In base 14, what is 8 - 60240a9? -60240a1 In base 16, what is b + d051? d05c In base 2, what is -110001010 - 1001001111111010001000? -1001010000000000010010 In base 4, what is -2 + -101322033? -101322101 In base 9, what is -4425 + -228830? -234355 In base 10, what is 2890618 - 0? 2890618 In base 9, what is -337043 - -22? -337021 In base 11, what is -566993 - -42? -566951 In base 14, what is -5a9 - -8db6c? 8d5a3 In base 11, what is -6 + -413151? -413157 In base 4, what is 31221103 + 230? 31221333 In base 2, what is 0 - 1110100000111100110000? -1110100000111100110000 In base 4, what is 1302110322 - -23? 1302111011 In base 3, what is -10022211002112 + 110100? -10022210122012 In base 6, what is -144441 - -31525? -112512 In base 7, what is 504234 - 51? 504153 In base 15, what is 7846 - -26b? 7ab2 In base 7, what is 2243056 + -103? 2242653 In base 11, what is 418a31 + 43? 418a74 In base 7, what is 1104325661 - 1? 1104325660 In base 3, what is -1000110002202201 - 0? -1000110002202201 In base 4, what is -2 - 102220332311? -102220332313 In base 12, what is 76a2 - -4180? b862 In base 10, what is 379328815 + 1? 379328816 In base 15, what is -15 - 143414? -143429 In base 2, what is -100001100111110100101010010 - 10? -100001100111110100101010100 In base 6, what is -2 - 4240554444? -4240554450 In base 10, what is -41202144 - -23? -41202121 In base 13, what is -37 + -75071? -750a8 In base 3, what is -1222002011112101 + 1200? -1222002011110201 In base 2, what is 101 + -11000010010011010101? -11000010010011010000 In base 5, what is 10 + -103121130040? -103121130030 In base 7, what is -2340 + 4115124? 4112454 In base 11, what is -13a - -54a7a? 54940 In base 15, what is -5 + 14eb11d? 14eb118 In base 8, what is 47373050 - 7? 47373041 In base 13, what is -18 - -1397661? 1397646 In base 7, what is 132661430 - -20? 132661450 In base 12, what is -124 + -482838? -482960 In base 2, what is -10011110101010111 + 100111100? -10011110000011011 In base 4, what is 10101003303 - 322? 10101002321 In base 7, what is -1002331 - -14? -1002314 In base 15, what is -3cee - 488c? -868b In base 2, what is -100111001100 + -1100011010? -110011100110 In base 15, what is -62466 + a1? -623b5 In base 15, what is -c5673 - 1d? -c5691 In base 13, what is 908049c + 0? 908049c In base 12, what is -13 - -157b7b9? 157b7a6 In base 2, what is -11010 + 101110000011100100? 101110000011001010 In base 9, what is 22 + 7011640? 7011662 In base 3, what is 1 - -10200000011100101? 10200000011100102 In base 4, what is 31031131321313 - -11? 31031131321330 In base 11, what is -3 - 745a2325? -745a2328 In base 3, what is 10211012 + 101112202? 112100221 In base 14, what is 44b - -2d44? 3391 In base 8, what is 1661 + -1233? 426 In base 5, what is 1142441 - 3142? 1134244 In base 3, what is -21201 + 2102200220? 2102102012 In base 9, what is 3344334 + -8? 3344325 In base 2, what is -10111101111 - 101011110? -11101001101 In base 3, what is 222211111101121 - 1? 222211111101120 In base 9, what is 1081 - -5804? 6885 In base 14, what is 3594d - 2? 3594b In base 4, what is 2 - 2123231121211? -2123231121203 In base 15, what is 22 + -390002? -38eed0 In base 3, what is -121201011 + 2120201? -112010110 In base 9, what is -1164 - -11664? 10500 In base 15, what is 5 - -13376e5a? 13376e60 In base 3, what is 112212111022201000 + 10? 112212111022201010 In base 8, what is 527335 - -150? 527505 In base 10, what is 59 - -329224? 329283 In base 16, what is 271 - becd? -bc5c In base 6, what is 32322 + -132100? -55334 In base 2, what is 10000001110100001 + -10101110? 10000001011110011 In base 9, what is -163628 + -24? -163653 In base 10, what is -957662 + 10? -957652 In base 12, what is -4 - 1711856? -171185a In base 4, what is -130122222 - 10? -130122232 In base 10, what is 3 - -37545761? 37545764 In base 13, what is 408c390 + -2? 408c38b In base 2, what is 10101011100 + -100111001101110? -100100100010010 In base 15, what is -37 - 1b52? -1b89 In base 8, what is 63 - -401610? 401673 In base 11, what is -1335a4 + -42? -133636 In base 12, what is -4a431 - 5828? -54059 In base 2, what is -101010100000000 - 11001010? -101010111001010 In base 3, what is -100212022 + 111112100? 10200001 In base 2, what is -1100010010000000011 - 1000000? -1100010010001000011 In base 5, what is 342 + -11411110? -11410213 In base 16, what is -3ae7e + 39? -3ae45 In base 3, what is -10 + -1120220110120? -1120220110200 In base 15, what is -3 + -13a37c2? -13a37c5 In base 8, what is 14 - 165706064? -165706050 In base 7, what is 6160 - -13? 6203 In base 6, what is 121211432 - -45? 121211521 In base 14, what is -81 + -4d25c7? -4d2668 In base 4, what is 3010231 - -23112? 3100003 In base 2, what is -101 + -110001000111010011010? -110001000111010011111 In base 10, what is 294 - 21439? -21145 In base 16, what is 1c7233 - 96? 1c719d In base 3, what is 12221001102001 + 2220? 12221001111221 In base 9, what is 104577 + -133? 104444 In base 15, what is -6a - -64036? 63ebb In base 8, what is -77544 - -307? -77235 In base 15, what is ce5a - -22d5? 10240 In base 3, what is -10001111111 + 12212011? -2211122100 In base 10, what is -1495389406 - -4? -1495389402 In base 13, what is 78b4b29 - -3? 78b4b2c In base 14, what is 332 + 4326? 4658 In base 7, what is -4 + -50034054? -50034061 In base 8, what is 1207404 - 334? 1207050 In base 11, what is 23744 - a366? 14389 In base 5, what is 344432 - -204024? 1104011 In base 10, what is 88093 - -16? 88109 In base 14, what is 1dd81a2 - 1c? 1dd8184 In base 2, what is 10010000010010011011 - 1? 10010000010010011010 In base 10, what is 1 + -3625422? -3625421 In base 16, what is -135aad + b? -135aa2 In base 3, what is -220011021010001001 + -2? -220011021010001010 In base 3, what is 2112111100111010 + 10? 2112111100111020 In base 3, what is -200 + -201020221112001? -201020221112201 In base 9, what is -173 + 1288370? 1288186 In base 9, what is 76885 - -333? 77328 In base 5, what is -132341124 - -13? -132341111 In base 5, what is 12420004 + -44? 12414410 In base 7, what is 3320 + 13131? 16451 In base 16, what is -60fa6d7 + -5? -60fa6dc In base 15, what is 989b8 - b2? 98906 In base 5, what is -132124 + -402? -133031 In base 4, what is -2 - -233110323321? 233110323313 In base 15, what is -5c09 - 6d? -5c77 In base 12, what is 223b12137 - 3? 223b12134 In base 15, what is 2d0b + 358? 3164 In base 7, what is -560601 - -20550? -540021 In base 12, what is -a9 - 10542a? -105517 In base 4, what is 23112331113 + -3? 23112331110 In base 16, what is 28c15 - -b56? 2976b In base 4, what is 12 + 1223200102111? 1223200102123 In base 4, what is 21 + -1000022210130? -1000022210103 In base 13, what is 6a087c8 + -5? 6a087c3 In base 16, what is -5f234 + 665? -5ebcf In base 5, what is -31 + -40102014? -40102100 In base 2, what is 11100 + 11000011101101011010? 11000011101101110110 In base 2, what is 1011010001001110000001001 + -1? 1011010001001110000001000 In base 14, what is 1d21 + 215? 2136 In base 4, what is -11 + -121211332202? -121211332213 In base 15, what is b950 - -9a? b9ea In base 11, what is -3 + -269936a3? -269936a6 In base 10, what is -2544559 + 0? -2544559 In base 12, what is 1 + -b25914? -b25913 In base 6, what is 2 + -5101253250? -5101253244 In base 7, what is -1404 - 6211412? -6213116 In base 4, what is 10 - -10010012333? 10010013003 In base 4, what is 30103102220 + 23? 30103102303 In base 5, what is 144044131 + 0? 144044131 In base 15, what is ac - 599? -4dc In base 7, what is -2012232 + -12333? -2024565 In base 15, what is 1819 + 26d? 1a87 In base 13, what is 2c889 + c6? 2c982 In base 15, what is 4 + 2710ca? 2710ce In base 10, what is -198 + 113980? 113782 In base 4, what
{ "pile_set_name": "DM Mathematics" }
greater: q or h? h Let t = -124/585 - 2/195. Do -1 and t have different values? True Let d = -41.01 - -41. Let w(a) = a**3 + 3*a**2 - a - 3. Let k be w(-3). Which is smaller: d or k? d Let s = -5 + 4. Let n = 0.06 - 2.06. Let f = n + 4. Is f != s? True Let c be (2/15)/(9/(-432)). Let u = c - -6. Which is smaller: u or 0.02? u Let a = -137/30 + 25/6. Which is smaller: 0 or a? a Suppose 0 = -2*z - 4*l - 0*l - 10, -17 = -2*z + 5*l. Suppose 0 = m - 11 + z. Are 10 and m nonequal? False Let y = -27 + 25. Which is smaller: y or -2/5? y Let u(g) be the second derivative of g**3/6 + 5*g**2/2 - g. Let x be u(-7). Let f = x - -1. Is f equal to -1? True Let m = -0.07 - 0.02. Let o = 1.7 + -1.5. Is m at most as big as o? True Suppose -5*g = 3 + 12. Let p be g - -3 - (-4)/18. Do 0 and p have the same value? False Suppose 2*y - 4*s - 42 = 0, y - s = 2*s + 24. Is 14 less than y? True Let p(l) = l - 5. Let h be p(5). Let c = 901/560 + -1/112. Let o = -2 + c. Which is bigger: o or h? h Suppose -8 = 4*l - 4. Let m(y) = -y**2 - 5*y + 4. Let h be m(-5). Suppose 2*v + 4 = 0, -u - v - h = -3. Is l less than u? True Let o = 96 - 96. Which is bigger: 1/58 or o? 1/58 Let z be ((-2)/(-4))/(1/16). Let h be z/(-198) + 20/(-110). Is h not equal to -1? True Suppose d + 35 = 5*s - 2*s, s - 7 = 5*d. Suppose -5*w = -4*t + 29 - s, 4*w = 5*t - 19. Let g be w/(-5) + (-1)/(-5). Is g at most -1? False Let m(q) = q + 5. Let v be m(-5). Let f(u) = 5*u - 11. Let w(o) = o - 1. Let z(a) = -f(a) + 6*w(a). Let k be z(-4). Are k and v nonequal? True Let t(f) = -f**3 + 3*f**2 + 5*f - 3. Let k be t(3). Suppose 4*j - k = z, -3*j + z + 7 + 1 = 0. Suppose 3*s - 6*s = -3*d + 30, -5*s - 45 = -4*d. Is d > j? True Suppose -10*q = -12*q + 28. Is 8 less than or equal to q? True Suppose -21 - 5 = -2*l. Is 13 at most as big as l? True Let f = 0.539 + -0.739. Let m = -3.1 - -3. Which is bigger: m or f? m Suppose -d = 3*a - 8*a - 25, -4*d - 5*a = 0. Suppose -6*v = -14*v + 24. Suppose 5*o = d*i, 2*i + 7*o = v*o. Which is smaller: i or -2/3? -2/3 Let c be 2/(8/(-11)) - -2. Which is smaller: c or -1? -1 Let d be (-12)/(-42) - (-2)/(-7). Which is bigger: d or 1/7? 1/7 Let w(d) = -4*d + 84. Let u be w(21). Is 2/37 at most u? False Let a = 10 + -10.4. Is -1/6 equal to a? False Let o be (-177)/21 + (-6)/(-14). Are -2/5 and o unequal? True Suppose -4*p + 0*p = 0. Suppose 4*i - i - 6 = p. Suppose 2*x + 2*m = 7*m + 14, -3*x = -i*m - 10. Is x > 2? False Suppose -6*j = -11*j + 55. Which is smaller: 10 or j? 10 Let y = -61 - -185/3. Is y greater than 1? False Let p = -4 + 6. Let t be (-15)/20 + (-25)/(-44). Which is greater: p or t? p Let s be ((-1)/3)/(1/(-3)). Suppose 5*f - 4 - s = 0. Let b = -53 + 157/3. Are b and f unequal? True Let h(y) = 0*y + 4*y + 1 - 3*y. Let z be h(-1). Do 2 and z have the same value? False Let c = 1340/7 - 191. Suppose 0*u - 4*u = 0. Is u >= c? False Let y = -10 - -16. Suppose 4*n - 3*n - y = 0. Let q be (2/n)/(3/9). Which is bigger: q or -3? q Let j = -66 + 67. Which is smaller: j or 24? j Let j be (1/(-9))/((-4)/8). Which is greater: j or 1? 1 Let g = 2 + -2.2. Let b = 8 + -8.1. Is g not equal to b? True Let l = 177 - 343. Let w be l/(-18) + (-10)/45. Which is greater: 8 or w? w Let a be 5*7/5*(-12)/(-7). Is a bigger than 12? False Let n = -140/9 - -497/36. Let w = 15 + -17. Which is smaller: w or n? w Let q be (12/(-9))/(-4)*0. Which is smaller: q or 0.02? q Suppose -2*z + 5*z = 3. Which is greater: -4 or z? z Suppose 7*u - 55 = 2*u. Let r = -19 - -31. Is u equal to r? False Let g be -5 + (-2)/((-40)/(-475)). Which is smaller: -28 or g? g Let j(h) = h**3 - 8*h**2 + 8*h - 8. Let o be j(7). Let g be 0 - (2 + 4/(-2)). Which is greater: o or g? g Let u(o) = o**2 + 5*o. Let s be u(-5). Let r = 20 + -17. Suppose 5*m = -4*b + 13, 3*m - r*b + s*b = -3. Which is smaller: -1/21 or m? -1/21 Let h be 8/6*(-2)/3. Is h > -2? True Suppose -4*t = -3*d + 56, -d = -5*d + 2*t + 58. Is 25/2 <= d? False Let n = 157/4 + -39. Let w = -0.04 + 0.34. Let b = w - 0.2. Which is smaller: b or n? b Suppose -4*q - 2*p + 4*p + 42 = 0, -3*p = -3*q + 39. Which is greater: 9 or q? 9 Let d = 30.944 - -0.056. Are d and 1 equal? False Let i = 5 - 10. Let s = -5 - i. Which is smaller: 2 or s? s Let q be 10*(-1)/(-72)*4. Let c = -61 - -61. Which is smaller: c or q? c Let p be (-6)/(-24) + (-17)/4. Let k = 4 + p. Let m = -15/2 - -47/6. Is m at least as big as k? True Let s be (6/(-4))/(9 + 9). Is -1 < s? True Suppose 0 = q - 0*q + 5*m - 46, -11 = -q + 2*m. Suppose -2*p = -5*d, 2*d + p + q = 6*p. Is 4 <= d? False Let n be 2 - 3/(-9)*0. Let j be ((-3)/30)/(n/(-8)). Which is greater: j or 3? 3 Let x = -6 - -3. Let h(j) = j**2 + j - 2. Let i be h(x). Suppose -y + 9 = 2*y - 3*s, -s - 3 = -i*y. Is y at most -1/5? False Let a be (-5)/45*-3 - 76/(-6). Which is smaller: 5 or a? 5 Let q(k) = -k. Let p be q(10). Let f = p + 10. Which is bigger: -1/4 or f? f Let r(k) = -k**2 + 12*k + 3. Let h be r(11). Suppose -2*t - 29 = -3*u, -3*t + u - h = -2*t. Is t less than or equal to -12? True Suppose -q - 8 = -3*q. Suppose j = -3*j + q. Does 2 = j? False Let c be -4 + 2 + (-32)/(-14). Let d = -4 - -1. Is d > c? False Suppose -m - 3*m + 20 = 0. Suppose -5*q = 5*j - 20, m*j - 3*q = 2*j - 18. Which is bigger: j or 0? 0 Let f(w) = w**3 - w**2 - w - 4. Let v be f(0). Which is smaller: -9/2 or v? -9/2 Suppose 2*o = o + 46. Suppose -4*f = 5*l + 14, -4*l - l - o = -4*f. Let u = l + 3. Which is greater: u or -1? -1 Let c = 326/3 + -109. Which is smaller: c or -1/8? c Let p = -6.1 + -0.9. Let u = p - -6.9. Is -5/4 less than or equal to u? True Let s = 33.2 + -38. Let b = s - -5. Do 0.2 and b have different values? False Suppose -2 = w - 3*w. Is w greater than 2/33? True Suppose -53 = 7*p + 31. Let a be p/(-12)*(-2)/(-8). Suppose 0 = d - 2*d. Is a not equal to d? True Let m = -1 + 3. Let r be (1 - 2) + 3 + 2. Let z = r - m. Is z >= 2? True Suppose 24 = 4*o + 8. Suppose -o*f = 18 + 22. Is f less than -2/3? True Suppose -n - 120 = -5*n. Let z be 1/(-2 - n/(-14)). Is 6 >= z? False Let f be (-11)/7 - (-2 - 0). Let q = -22.5 - -22. Let a = q + 0.5. Is f >= a? True Suppose -2*p + 5*q = 0, -p + 4*p = -2*q. Suppose -25 = -p*b + 5*b. Which is bigger: -1 or b? -1 Let q = 4.02 - 4. Let m = -0.31 - -3.33. Let k = m - q. Which is smaller: -1 or k? -1 Let s be -2 + 57/36 - (-7)/(-28). Which is greater: s or -36? s Let q be (4 - 6)*10/4. Is q less than or equal to -5? True Let m(u) = u**2. Let p be m(2). Suppose -p*h = -h - 45. Suppose -5*t = -0*t + h. Do -3 and t have different values? False Let h(f) = -f - 6. Let u be h(-6). Let s(j) = -j - 7. Let z be s(-7). Suppose -9*d + 4*d = z. Is d less than u? False Let z = 0.65 - -0.35. Let q = -0.02 + 0.06. Which is greater: q or z? z Let q = 2.1 + -2. Let v = -9 - -9. Let w = v + -1. Which is smaller: w or q? w Suppose -4*y = -4, -3*y - 28 = -3*h + 5. Let r(d) = d - 15. Let t be r(h). Do -3 and t have different values? False Let x be -1*(-4 - (-3 + 1)). Suppose -d = -x*d. Let s be (-6)/15 + 64/135. Which is smaller: d or s? d Suppose 2*u - 4*u = 0. Is -1/2 <= u? True Suppose x + 16 = 2*x. Let t be x/(-7) + 6/21. Which is bigger: t or -2/11? -2/11 Let l(b) = b**3 - 7*b**2 - 7*b - 4. Let d be l(8). Suppose -5*y = -2*r + 8, -d*y - 14 = 4*r + y. Is -2 != r? True Suppose 4 = -j, 3*c = 2*c + j. Let a be 77/(-91) + c/26. Is a greater than -1/5? False Suppose 12*c - 52 + 4 = 0. Which is greater: 15 or c? 15 Let n = 1.1 - 1. Which is bigger: n or 8? 8 Suppose 3*n + 4*t + 23 = -0*n, -3*t = 3*n + 18. Let z = -1053/56 + 147/8. Which is bigger: n or z? z Let g = -1.5 - 0.5. Let d(l) be the second derivative of l**4/12 + l**3 + 2*l**2 - l. Let u be d(-5). Which is bigger: u or g? u Let t(z) = -z + 6. Let g be t(-3). Let x be g/(-12) + 132/112. Is 1 <= x? False Let m be (-2)/2*((-114)/(-21) - 5). Let u(o) = o + 1. Let q be u(-1). Suppose q = 3*g - 0*g. Is m greater than g? False Let i = -42 - -35.8. Let b = i + 1.2. Let s = b + 4.7. Which is bigger: -1 or s? s Let i = -1 + 2. Suppose -2*k - 6 = -b, -k = b + 4*b + 3. Suppose b = n + 4*n. Which is bigger: n or i? i Let b be (4 - 4) + 6/2. Let j(n) = n - 2. Let u be j(b). Let p be (-75)/65 + 0 + u. Which is bigger: p or 1? 1 Let o = 18 - 17. Do -5 and o have different values? True Suppose
{ "pile_set_name": "DM Mathematics" }
(5 + -1) - -269. Calculate the common denominator of (58/(-6))/(2*-1) and 98/o - ((-1026)/(-90) - 11). 54 Let j be (-12*4/28)/((-1)/49). Find the common denominator of 1400/j*6/112 and 61/77. 308 Let c be 571 + (-6 - -1) - 6. Suppose -28*r = -48*r + c. What is the smallest common multiple of r and 3? 84 Let k = 11 + -29. Calculate the common denominator of (-51)/(-459)*129/2 and 3 - 2/(k/(-73)). 18 Suppose -2*s - 4*g - 5 = 41, s + 17 = 4*g. Calculate the common denominator of (528/224)/(54/s) and 7/82. 492 Let x = -104 + 56. Let h be (-117 - -3)/((-3)/x*2). What is the common denominator of (h/144)/((-2)/6*16) and -3/40? 80 Let z be -4 - (-14976)/2526 - 2. Let n = z + -25381/4210. What is the common denominator of (-13)/(((-64)/(-2))/4) and n? 40 Let j(r) = -r**3 - 6*r**2 - r + 21. Let d be j(-5). Let q(o) = o**3 - 2*o**2 + o + 1. Calculate the smallest common multiple of q(d) and 9. 9 Let w = 403 + -270. Suppose -w = f - 136. What is the smallest common multiple of f and 24? 24 Let q(k) = -3*k**3 + k + 1. Let d be 2 + (25/5)/5. Suppose u - 3*u - 94 = -4*p, 68 = d*p - u. What is the lowest common multiple of p and q(-1)? 21 Suppose -2*v = -6*v + 56. Suppose -4*q - a + v = -36, -a + 2 = 0. Let k(d) = d**3 - 13*d**2 + 12*d + 18. What is the smallest common multiple of k(q) and 6? 18 Let l(c) = -c**2 + 56*c - 264. What is the least common multiple of l(50) and 45? 180 Let v = -126209/8289 - -823/54. What is the common denominator of v and -77/32? 9824 Let t = -180981 - -25337199/140. What is the common denominator of -77/410 and t? 5740 Suppose -4*i - 4*a + 4336 = 0, -44*i + 43*i = -4*a - 1124. Calculate the smallest common multiple of 3003 and i. 12012 Suppose 158 = 14*q - 332 + 98. Calculate the least common multiple of 140 and q. 140 Let m = 256801/491640 - 434/723. Calculate the common denominator of 39/160 and m. 2720 Let i(w) = -122*w**2 - 6*w - 4. Let f be i(-4). Let a = f + 133231/69. Let g = 17156/7 - 2447. Calculate the common denominator of g and a. 483 Suppose -g = -3*l - 67550609, -4*l - g - 112584359 = l. Let p = -38638966273/1716 - l. Let a = p + -258/143. Calculate the common denominator of 73/30 and a. 60 Let w = 330 + -430. Let g = -93 - w. Calculate the least common multiple of g and -3*4*4/(-6). 56 Let v be (0 - -4)/(5523/1380 + -4). Let k = v - 21935/12. What is the common denominator of -4 + 3 + 19/22 and k? 132 Calculate the common denominator of -33/100 and 18*1 - (-253008)/(-14175). 900 Suppose 2050 = 59*w + 870. Suppose 0 = -3*o - 2*n + 3, -3*o - n + 6 = -0*n. Calculate the smallest common multiple of w and o. 60 Suppose 30 = 4*j - 50. Let m = j + -15. Suppose -3*u + m*n + 46 = 0, -5*n = -0*u - 2*u + 24. Calculate the lowest common multiple of 6 and u. 66 Let i be (-4)/(1 - (-50)/(-48)). Let c = 310/13 - -537/26. Find the common denominator of c and ((-36)/i)/(6/(-61)). 16 Let x = -10 + 9. Let c = 970 - 980. What is the smallest common multiple of 33 and (-4 - c) + (-7 - -2 - x)? 66 Let i(o) = 8*o**3 - 49*o**2 + 5*o + 10. Let d = -491 + 497. What is the least common multiple of 224 and i(d)? 224 Let g = -770 + 767. Let h(d) = d**2 + 15*d + 44. What is the smallest common multiple of 64 and h(g)? 64 Let z = -120549113/9390 + 192571/15. Calculate the common denominator of z and 17/20. 6260 Suppose 2*r = 5*r + 30. Let y be 6/(-9) + r/3 + 1. Calculate the least common multiple of 58 + y*(-6)/(-18) and 7. 399 Let g(b) = -9505*b + 28595. Suppose -c = 2*z - 90, 0*z = -c + 2*z + 86. What is the least common multiple of g(3) and c? 880 Suppose t = -t - 10, -5*o = t - 325. Suppose o = 6*v - 0. What is the smallest common multiple of v and 16? 176 Let s = -325 - -349. Calculate the lowest common multiple of 8 and s. 24 What is the common denominator of 27/131 and (10 - 3) + (374/130 - 9)? 8515 Find the common denominator of 12/216*126/(-120) and 107/120. 120 Let m = -375/44 - -47/11. Let f = -48 - -8. Calculate the common denominator of (-14)/f*38/6*-5 and m. 12 Let f = 1/1131 - -65593/5655. Let y = -22 + 6. Calculate the common denominator of f and ((-6)/y)/1 + (-15 - -16). 40 Let s be 6 + (703791/(-133488) - 8). Let u = s + -9/1648. Find the common denominator of u and 187/60. 180 Let w = -197/19 - 257/76. What is the common denominator of w and -75/1372? 1372 Let h = -191/365 + 44509/140160. Find the common denominator of h and (-2)/(-480)*298 - 21/56. 1920 Suppose -o - 23 = -33. Calculate the lowest common multiple of o*(5 - -2) - 20/5 and 36. 396 Let m = -3310 + 3870. What is the lowest common multiple of m and 784? 3920 Let d be 1/(-6) + 10659/70110. Let a = d + 337/9020. What is the common denominator of 51/8 and a? 88 Let m be (42/(-4))/((-5)/(-10)). Let f = -7 - m. Suppose f*l - 17*l = -33. What is the smallest common multiple of 22 and l? 22 Let l = -5590/3 + 1881. Let a = l - 73/2. Calculate the common denominator of a and -71/36. 36 Let r be ((-45)/(-2))/(9/(-24)). Find the common denominator of (-2)/r*(-14 + 195) and 59/15. 30 Let n = 69 + -13. Calculate the lowest common multiple of ((-85)/(-850))/(3/210) and n. 56 Let n(k) = -k**2 - 11*k - 19. Let m be n(-9). Find the common denominator of 336/96 + 0/m and ((-93)/20 - 1) + 1. 20 Let y(h) = 4*h**2 + 7*h - 9. Calculate the smallest common multiple of y(-4) and 222. 1998 Let q = 17057/2482 - 302/73. Find the common denominator of (4/(-120))/((-26)/9126) and q. 170 Suppose 0 = 6*m - 102 + 36. Suppose -455 = -m*y - 59. Calculate the common denominator of 10/3 and (-715)/y*((-8)/(-10))/(-4). 36 Let j(f) = f**3 + 15*f**2 + 51*f + 19. Let s be j(-7). Suppose 59*m - s*m - 400 = 0. What is the smallest common multiple of 70 and m? 560 Suppose -96 = -w + 2*t - 5*t, 0 = -5*w - 5*t + 460. Find the common denominator of (-2)/(-9) - (-58)/w and (-210)/525 - 946/60. 30 Let b = 1316 - -10330. What is the lowest common multiple of b and 1? 11646 Suppose 2*j = 53*u - 54*u + 22, 0 = -21*j + 42. Calculate the least common multiple of 728 and u. 6552 Let q be (50/(-30))/((-2)/30). Find the common denominator of (-8)/12 - (-68)/21 and (2350/228)/q*(-6)/(-4). 532 Let m be 2 + 0 + 4898/20. Let j = m - 69427/280. Let t = j + 2321/1512. What is the common denominator of -52/21 and t? 189 Suppose 14*i - 3*i - 275 = 0. Let u(v) = v**2 - 4*v + 2. Calculate the lowest common multiple of u(6) and i/(-75) + 79/3. 182 Let n = 32367 - 1553675/48. Find the common denominator of -113/588 and n. 2352 Let w be ((-56)/10)/((-5)/25). Let m = -1 - -3. Suppose -2*k + w = m*k. What is the least common multiple of k and 7? 7 Let q be (-6)/(-24) + (-30)/(-8). Let x be (2 - 1)/(q - -4141). Let f = 161663/33160 - x. Calculate the common denominator of -31/18 and f. 72 Let r = 1555040699/7 + -222626520. Let o = -478713 - r. Let v = -49065/56 - o. Calculate the common denominator of 46/9 and v. 72 Let k(a) = -a**2 - 39*a - 94. What is the least common multiple of 76 and k(-34)? 76 Let q = 1094759/1100 - 10940/11. Calculate the common denominator of q and 49/4. 100 Suppose -4*m = -j + 100, -m + 3*j - 84 = 2*m. Let l(q) = -q**3 - 23*q**2 + 24*q + 6. Let x = 79 + -67. What is the lowest common multiple of x and l(m)? 12 Suppose 9*p - 6533 = 59*p - 7533. What is the smallest common multiple of p and (-14)/((-2)/4*2)? 140 Suppose -24*s + 14 = -126 - 388. Let a(y) = y**3 + 14. What is the lowest common multiple of s and a(0)? 154 Let x(s) = 2*s**3 - 22*s**2 - 28*s - 558. Calculate the smallest common multiple of x(19) and 852. 9372 What is the smallest common multiple of 48 and 168/10*(19 + -5 + 31)? 3024 Let h(f) = -f**3 - 8*f**2 - 10*f + 18. Let c = -124 - -118. What is the smallest common multiple of 16 and h(c)? 48 Suppose 5*l - 7*k = -11*k + 48, 2*l = 5*k + 39. Calculate the least common multiple of 11 and l. 132 Let b = -65 - -137. Suppose -291*k + 303*k = 1584. Calculate the least common multiple of k and b. 792 Let h = 193543/150 + -1290. Calculate the common denominator of -73/600 and h. 600 Find the common denominator of (-6)/21 + (-17622)/(-12628) and -67/22. 902 Suppose 2*r - 5*a = -r - 30, -5*a - 40 = 4*r. Let y(o) = o**3 + 10*o**2 - 5*o - 10. Calculate the smallest common multiple of y(r) and 6. 120 Find the common denominator of ((-1143)/(-38100))/(30/344) and -76/45. 1125 Let p be 4/(-30)*1563/4. Let
{ "pile_set_name": "DM Mathematics" }
ist the prime factors of j. 157 Let b(y) = -3455*y**3 - 2*y**2 - y + 1. List the prime factors of b(-1). 5, 691 Let s be 76*(15/(-45) - 51/(-18)). What are the prime factors of 224220/s - 0 - 4/38? 2, 5, 59 Let q = 4193 + 16743. What are the prime factors of q? 2, 2617 Let d(v) = -360 + 78*v - 365 + 1069 - 389. List the prime factors of d(4). 3, 89 Suppose -57*b - 54*b - 2787837 + 12346602 = 0. What are the prime factors of b? 3, 5, 5741 Let s(v) = v**2 - 1. Let f(l) = l**3 + l**2 - l + 4. Let m(c) = -f(c) - s(c). Let d be m(-3). What are the prime factors of (d/((-18)/110))/(3/(-18))? 2, 5, 11 Let q = -19 - -21. Let a(l) = 8*l - 8. Let p be a(2). What are the prime factors of q/p - (-858)/88? 2, 5 Let w(j) be the third derivative of 9*j**5/20 + 7*j**4/6 - 16*j**3 + 13*j**2 - 4. List the prime factors of w(4). 2, 7 Suppose 33*a = -23*a + 263424. Suppose 21*r = 14*r + a. List the prime factors of r. 2, 3, 7 Let x(r) = r**2 - 11*r + 24. Let a be x(8). Let d(h) = h**3 - h**2 - 6*h + 631. List the prime factors of d(a). 631 Let p(l) = -46*l**3 - 5*l**2 + 3*l + 1. Let y be p(-3). Suppose -3*j = 5*k - y, -j + 138 = 3*k - 573. What are the prime factors of k? 2, 59 Let z(d) = -d**2 + 18*d - 3. Let h be (-3 + 0 - -4)/1. Let m be h*((-2)/(-6))/((-8)/(-264)). List the prime factors of z(m). 2, 37 Suppose -4*d = 2*p + 3972 - 1204, -6 = -3*p. Let r = -139 - d. List the prime factors of r. 2, 277 Suppose -24*y + 42040 = -20*y - 5*i, -2*y + 21014 = -i. What are the prime factors of y? 5, 11, 191 Let i = -4 - -11. Let z(w) = -139*w - 177. Let j(o) = 27*o + 35. Let c(h) = 11*j(h) + 2*z(h). List the prime factors of c(i). 2, 41 What are the prime factors of (1772/(-4873))/(2/(-238711))? 2, 21701 Let q = -3272 + 4466. What are the prime factors of q? 2, 3, 199 Let z(a) be the third derivative of -a**5/60 - a**4/6 + 11*a**3/3 - 8*a**2. Let f be z(-7). List the prime factors of 183 + ((-9)/(-3) - f). 5, 37 Suppose b - 30 = -5*k, 4*b - 76 = -k + 6. Let f(z) = -z**3 + 21*z**2 - 19*z - 17. Let s be f(b). What are the prime factors of s + -3 + 2 + 196? 2, 3, 11 Let h be -108*5/(-20)*-2. Let s = -49 - h. Let l(y) = -y**3 + 7*y**2 + y + 3. What are the prime factors of l(s)? 2, 29 Suppose y - 12 = -3*g + 169, g = 2*y - 397. Let v = -1381 + 1287. Let b = v + y. List the prime factors of b. 2, 3, 17 Let o be 32/(-6)*(0 - (-27)/(-36)). Suppose -5*a = 0, -1 = o*x + 3*a - 609. What are the prime factors of x? 2, 19 Let y(c) = 1534*c**2 + 24*c + 58. What are the prime factors of y(4)? 2, 53, 233 Let f = -17556 + 26167. What are the prime factors of f? 79, 109 Let z = -30 + 103. Let l = z + 378. Suppose 0 = -4*f - 5*w + 605, -3*f + l = -0*w + w. List the prime factors of f. 2, 3, 5 Let q(b) = 24*b**2 + 56*b - 67. List the prime factors of q(9). 2381 Let k(v) = 17*v**2 - 5*v. Suppose -20*u + 0*u = 100. List the prime factors of k(u). 2, 3, 5 Let v = 45279 + 7441. What are the prime factors of v? 2, 5, 659 Let f be (-62)/(-155) - 27/5. Let u be 63/(-12) + f/(-20). List the prime factors of 292/2*u/(-10). 73 Suppose 4*x - 2680 = -v, -346 = 4*x + 4*v - 3038. Let s = x + 31. What are the prime factors of s? 2, 5, 7 Let i(h) = -74*h - 48. Let x be (46/184)/((-2)/24). What are the prime factors of i(x)? 2, 3, 29 Suppose 0*s - 3*o + 3154 = s, -5*s + 5*o = -15790. Suppose -11*m + s = -0*m. What are the prime factors of m? 7, 41 Suppose -1518 + 4310 = 2*z. Suppose -5*u + z = o + o, 0 = u + 2*o - 284. Suppose 3*r = 2*p - 3*p + 427, 2*r = p + u. What are the prime factors of r? 3, 47 Let s = -9664 + 16592. List the prime factors of s. 2, 433 Let k(c) be the first derivative of 11*c**4/4 - c**2/2 + 2*c - 58. List the prime factors of k(3). 2, 37 Suppose 5*v - 104 = 16. Let p = 24 - v. Suppose 2*o + 3*t - 3 = 0, p = -5*t - 19 + 4. List the prime factors of o. 2, 3 Let t(z) be the first derivative of z**5/20 - 13*z**4/24 + 19*z**3/6 - z**2 + 1. Let f(i) be the second derivative of t(i). What are the prime factors of f(8)? 107 Suppose 5 + 4 = 3*s. Suppose -w - 3 = -a + 2, s*w + 3*a = -9. List the prime factors of ((-114)/w)/(30/80). 2, 19 What are the prime factors of (-132666)/(-23) + -7*(-28)/(-2254)? 2, 7, 103 Let q = -20030 - -50957. List the prime factors of q. 3, 13, 61 Suppose 0 = -5*k - 2*n - 264, -3*k - 168 = 2*n - 4*n. List the prime factors of ((-3487)/(-634))/((-1)/k + 0). 3, 11 Let r(x) = -x - 2. Let f be r(2). Let s(y) = 15*y**2 - 20*y - 73. List the prime factors of s(f). 13, 19 List the prime factors of ((-185)/3)/((-102)/22644). 2, 5, 37 Let p = 44 - 28. Let z be ((-1)/(-2))/((-1)/p). List the prime factors of -7 - -66 - z/2. 3, 7 Suppose -4*a + 28 = 3*a. Suppose -a*h = -11*h + 14. List the prime factors of ((-16)/4 - -11)/(h/24). 2, 3, 7 Let b(p) = -9*p + 40. Let m be b(4). Suppose 0*x - x - f = -601, -x = m*f - 601. List the prime factors of x. 601 Let g(n) = 1343*n**2 + n + 1. Let r be g(-1). Suppose 49*y - 32*y = r. What are the prime factors of y? 79 Let c(k) = -3215*k + 26. List the prime factors of c(-1). 7, 463 Suppose 70*b = 39*b. Let p(r) = 2*r**3 - r**2 - 32. Let o(q) = -5*q**3 + 2*q**2 + 63. Let u(c) = -3*o(c) - 7*p(c). What are the prime factors of u(b)? 5, 7 Let s(h) = -27*h + 79. Let u(r) = -26*r + 80. Let j(w) = -4*s(w) + 3*u(w). What are the prime factors of j(16)? 2, 101 Let v be ((-1 - 0) + 28)/(1/13). Let l = v + -95. Let c = l - 164. What are the prime factors of c? 2, 23 Suppose 4*t + 6623 = 3*h, 3*h + 4*t - 6625 = 9*t. Suppose h = -550*q + 557*q. What are the prime factors of q? 3, 5, 7 Let m = -77 - -80. Let z(v) = 18*v**2 + 2*v + 3. List the prime factors of z(m). 3, 19 What are the prime factors of (-315)/(-60)*(20 - -3952)? 3, 7, 331 Let o(l) = 6*l**2 + 41*l + 725. What are the prime factors of o(-25)? 2, 3, 5, 23 Let g = 13227 - 6623. List the prime factors of g. 2, 13, 127 Let n(x) = -26*x - 156. Let b be n(-6). Suppose b = 8*d - 4227 - 493. What are the prime factors of d? 2, 5, 59 Let n be (-10)/(-30) - (-3 + (-2144)/3). Let v = n + 210. List the prime factors of v. 2, 29 Suppose 4*d + d = -w + 20, 0 = w + 4*d - 21. Suppose 0 = -o + 2, -28*i + 3*o = -w*i - 2592. What are the prime factors of i? 2, 433 Let s = 10188 - 4939. List the prime factors of s. 29, 181 Let s = 533 - 522. Suppose -s*p = -4715 - 235. List the prime factors of p. 2, 3, 5 Let k(h) = 231*h - 2715. What are the prime factors of k(81)? 2, 3, 31, 43 List the prime factors of 4024649/145 - (-24)/30. 41, 677 Suppose -34*m - 353841 = -113*m. List the prime factors of m. 3, 1493 Suppose -4*t = -7*h + 4*h - 3365, h + 841 = t. Let m = t + -521. List the prime factors of m. 3, 107 Suppose 2*a + i - 17145 = 0, -269*i = -273*i + 28. What are the prime factors of a? 11, 19, 41 Let p(o) be the first derivative of -5/2*o**2 - 12*o + 13. List the prime factors of p(-8). 2, 7 What are the prime factors of -3 + 5 - 25/(175/(-35196))? 2, 5, 503 Let m be (12/(-10))/(6/40). Let y = -13 + m. Let c = -18 - y. List the prime factors of c. 3 Let x = 37 + -21. Let s = 22 - x. Let c(g) = 25*g + 9. What are the prime factors of c(s)? 3, 53 Suppose -8*s - 6 + 46 = 0. Suppose -s*x + 3*d + 567 = -2700, -4*x = 5*d - 2584. What are the prime factors of x? 3, 7, 31 Suppose -16*x + 1652458 = 19*x - 560382. What are the prime factors of x? 2, 7, 1129 Let w be 21 + (-12 - -7) + -2*2. Suppose -b + 525 = -4*n, 10*b + 5*n = w*b - 1059. What are the prime factors of b? 3, 179 List the prime factors of ((-28)/420 + (-194)/15)*-1724. 2, 13, 431 Let n = -5603 + 12626. List the prime factors of n. 3, 2341 Let b(v) = 4*v + 4. Let z be b(-6). Let q be z/6*5*3. Let m = -47 - q. What are the prime factors of m? 3 Let q be (1640/5)/4 - -2. Suppose 4*y + 3*y = q. Let p = y - 10. List the prime factors of p. 2 Let h = -22 + 18. Let k be 6/h*(16/(-6) + -2). Suppose -301 = -3*l + 5*z, -5*z - k = -l + 110. List the prime factors of l. 2, 23 Let a(r) = -8*r**2 + 5*r - 5. Let f be a(3). Let l = -11 - f. Suppose l + 40 = q. What are the prime factors of q? 7, 13 Let f = -46 + 56. Let y be 8/f*(-10)/(-4). Suppose -u + 71 = -0*u - 3*x, y*u - 142 = -4*x. What are the prime factors of u? 71 Suppose i = -5*r + 964, 5*i - 2*r = 3*i + 1976. Suppose -1000 = -2*w + w + p, -3*p = w - i. What are the prime factors of w? 2, 3, 83 Suppose -
{ "pile_set_name": "DM Mathematics" }
icked without replacement from yykkkkvyk. Give prob of sequence kyk. 5/42 Calculate prob of sequence gbuu when four letters picked without replacement from dsbdudsudsgbdgggbu. 1/1020 Calculate prob of sequence xx when two letters picked without replacement from xvxvvv. 1/15 Four letters picked without replacement from {a: 3, x: 1, w: 4}. Give prob of sequence axaa. 1/280 Two letters picked without replacement from horororoaorhohf. Give prob of sequence fh. 1/70 Four letters picked without replacement from {q: 2, o: 4, r: 4}. What is prob of sequence rqoo? 2/105 Four letters picked without replacement from ucsuucc. What is prob of sequence ccsc? 1/140 Two letters picked without replacement from {n: 13, a: 5}. What is prob of sequence nn? 26/51 Calculate prob of sequence oii when three letters picked without replacement from iddio. 1/30 Calculate prob of sequence sbs when three letters picked without replacement from {b: 9, k: 1, y: 1, s: 3}. 9/364 Calculate prob of sequence zxz when three letters picked without replacement from oxzuzx. 1/30 What is prob of sequence ll when two letters picked without replacement from lleelllllllleeel? 11/24 What is prob of sequence fl when two letters picked without replacement from {f: 5, l: 3}? 15/56 Calculate prob of sequence kikc when four letters picked without replacement from vikvkkgcii. 1/280 What is prob of sequence piu when three letters picked without replacement from {i: 1, v: 1, p: 2, q: 1, k: 1, u: 1}? 1/105 Calculate prob of sequence ukk when three letters picked without replacement from ccccukkkkicic. 1/143 Calculate prob of sequence uxl when three letters picked without replacement from {l: 1, p: 1, u: 6, x: 4, r: 3}. 4/455 Four letters picked without replacement from {e: 1, j: 11, i: 8}. What is prob of sequence jjjj? 22/323 What is prob of sequence nnd when three letters picked without replacement from {d: 7, n: 2, w: 3, m: 7}? 7/2907 Two letters picked without replacement from {s: 1, x: 7}. What is prob of sequence xx? 3/4 What is prob of sequence ph when two letters picked without replacement from {v: 2, h: 4, p: 1, l: 4}? 2/55 Three letters picked without replacement from {v: 1, k: 1, r: 1, n: 1, f: 1}. What is prob of sequence kvr? 1/60 Four letters picked without replacement from xyvxayyzyvxazyvxyyxv. Give prob of sequence zaav. 2/14535 What is prob of sequence uw when two letters picked without replacement from uwwussuscsuwcugs? 1/16 Two letters picked without replacement from pypy. What is prob of sequence yp? 1/3 Four letters picked without replacement from {w: 1, j: 2, n: 2, u: 1}. Give prob of sequence wnju. 1/90 Calculate prob of sequence nz when two letters picked without replacement from lcnlnlnlnnlllzncnls. 7/342 Three letters picked without replacement from {z: 2, y: 9, l: 4, i: 4}. What is prob of sequence lil? 8/969 Two letters picked without replacement from {w: 1, r: 9, o: 1}. What is prob of sequence ww? 0 Calculate prob of sequence ja when two letters picked without replacement from aijjixxijjjjxx. 3/91 Two letters picked without replacement from {e: 13, o: 1, j: 1, u: 3, i: 2}. What is prob of sequence uo? 3/380 What is prob of sequence iood when four letters picked without replacement from {d: 1, i: 4, w: 3, o: 2}? 1/630 Three letters picked without replacement from {k: 2, s: 8, p: 2, z: 4}. Give prob of sequence zsz. 1/35 Two letters picked without replacement from {f: 4, k: 10}. Give prob of sequence fk. 20/91 Four letters picked without replacement from bbbhhhhybhhyy. Give prob of sequence byhh. 3/143 Two letters picked without replacement from ewhpp. What is prob of sequence pp? 1/10 What is prob of sequence cof when three letters picked without replacement from {f: 1, c: 1, u: 2, e: 1, n: 1, o: 1}? 1/210 What is prob of sequence tt when two letters picked without replacement from tsdtttdtttddtdttddt? 55/171 Calculate prob of sequence mmu when three letters picked without replacement from umumuuu. 1/21 Three letters picked without replacement from yyjzyttjjttxxxxz. What is prob of sequence ztz? 1/420 Four letters picked without replacement from bbbi. What is prob of sequence ibbb? 1/4 Two letters picked without replacement from {t: 5, z: 8}. What is prob of sequence tz? 10/39 Two letters picked without replacement from rha. What is prob of sequence ha? 1/6 What is prob of sequence kkyk when four letters picked without replacement from kykkyyykyyykk? 7/143 Two letters picked without replacement from {q: 2, o: 1, z: 1}. Give prob of sequence qq. 1/6 Two letters picked without replacement from dzdddddzd. What is prob of sequence zd? 7/36 Three letters picked without replacement from xfxxxyyxzxdxooffxyx. What is prob of sequence dxf? 3/646 What is prob of sequence qtk when three letters picked without replacement from kwtqn? 1/60 Calculate prob of sequence uc when two letters picked without replacement from {m: 2, b: 1, i: 1, e: 1, c: 2, u: 1}. 1/28 What is prob of sequence ydd when three letters picked without replacement from {d: 8, c: 7, y: 3}? 7/204 What is prob of sequence ll when two letters picked without replacement from clclclllclllclll? 11/24 What is prob of sequence xf when two letters picked without replacement from {f: 6, x: 2}? 3/14 Calculate prob of sequence mvk when three letters picked without replacement from {v: 9, m: 7, k: 2, y: 1}. 7/323 Four letters picked without replacement from sccisaicsic. Give prob of sequence ssac. 1/330 What is prob of sequence eu when two letters picked without replacement from ieebebbbuu? 1/15 Three letters picked without replacement from zzbww. What is prob of sequence wbz? 1/15 What is prob of sequence do when two letters picked without replacement from {d: 1, o: 2, u: 1, r: 2}? 1/15 Calculate prob of sequence hsy when three letters picked without replacement from {y: 4, v: 1, h: 2, s: 1, c: 1, q: 3}. 1/165 Three letters picked without replacement from kkkkk. Give prob of sequence kkk. 1 Four letters picked without replacement from {i: 6, s: 6, v: 3, h: 3}. What is prob of sequence ivsv? 1/340 Calculate prob of sequence ummi when four letters picked without replacement from ibbubbbbbimumum. 1/910 Two letters picked without replacement from {h: 7}. Give prob of sequence hh. 1 What is prob of sequence wf when two letters picked without replacement from wjjfw? 1/10 Four letters picked without replacement from {j: 9, b: 2, x: 6}. What is prob of sequence bbxj? 9/4760 Calculate prob of sequence bbbv when four letters picked without replacement from {l: 4, a: 2, v: 8, b: 3}. 1/1190 Calculate prob of sequence ys when two letters picked without replacement from {s: 3, f: 2, x: 3, w: 6, y: 4, d: 1}. 2/57 Calculate prob of sequence tyy when three letters picked without replacement from yytytyyyyyyy. 3/22 What is prob of sequence nth when three letters picked without replacement from {w: 2, t: 5, n: 2, h: 9}? 5/272 Calculate prob of sequence ite when three letters picked without replacement from {e: 3, f: 9, t: 3, l: 1, q: 1, i: 1}. 1/544 Two letters picked without replacement from {n: 3, h: 1, b: 8, y: 2, x: 5}. What is prob of sequence yy? 1/171 Calculate prob of sequence cvt when three letters picked without replacement from tccv. 1/12 Three letters picked without replacement from {i: 12, v: 1}. What is prob of sequence ivi? 1/13 Two letters picked without replacement from {o: 1, g: 2, w: 1, n: 2, m: 2}. What is prob of sequence nm? 1/14 Three letters picked without replacement from {l: 9, p: 1, y: 2, m: 2, i: 3}. Give prob of sequence imi. 1/340 Calculate prob of sequence hm when two letters picked without replacement from {h: 7, m: 1, t: 6}. 1/26 What is prob of sequence zkvp when four letters picked without replacement from vpvpkpkzvpppvpp? 8/4095 What is prob of sequence fbk when three letters picked without replacement from {r: 1, g: 6, b: 2, y: 1, k: 4, f: 1}? 4/1365 Three letters picked without replacement from {t: 5, y: 1, l: 1, w: 3, b: 1}. What is prob of sequence ytb? 1/198 Two letters picked without replacement from pzkkbbpbobp. What is prob of sequence zp? 3/110 Three letters picked without replacement from kkrrkkrrrkrk. What is prob of sequence krk? 3/22 What is prob of sequence pjf when three letters picked wi
{ "pile_set_name": "DM Mathematics" }
Let y(k) = -k**2 + 62*k - 56. Let g(i) = 1240*i. Give y(g(t)). -1537600*t**2 + 76880*t - 56 Let j(o) = 14*o. Let s(t) = 1341327*t**2. What is s(j(y))? 262900092*y**2 Let a(k) = 7*k**2 - 6*k**2 - 5*k**2. Let q(y) = 35*y**2 + 80 - 80. Determine q(a(h)). 560*h**4 Let p(k) = -3. Let v(s) = -s + 1. Let h(x) = -p(x) - 3*v(x). Let c(i) = -24*i**2. Calculate c(h(a)). -216*a**2 Let r(b) = 222*b**2 + 168*b + 3. Let w(y) = -49*y. Give w(r(d)). -10878*d**2 - 8232*d - 147 Let n(y) = 4*y. Let x(d) = -d**2 - 62. Let h(p) = 6*p**2 + 374. Let s(k) = 6*h(k) + 39*x(k). Determine n(s(j)). -12*j**2 - 696 Let i(t) be the second derivative of 3*t**3/2 + 1984*t - 1. Let o(l) = 931*l**2. Determine o(i(y)). 75411*y**2 Let w(c) be the second derivative of 1/12*c**4 + 1 + 0*c**3 + 8*c + 0*c**2. Let r(u) be the third derivative of u**5/60 + 2*u**2. Calculate w(r(t)). t**4 Let w(v) = -119*v - 2. Let f(s) be the third derivative of -3*s**4/8 + 2120*s**2. What is f(w(j))? 1071*j + 18 Suppose 0 = -6*f - 10 + 40. Let r(j) = -f*j + 36*j + 18*j - 15*j. Let p(v) = -2*v. Calculate r(p(x)). -68*x Let l(o) = 15853 + 15773 - 47479 + 15853 - 4*o**2. Suppose -y - 3*y = -8. Let d(u) = 9*u**2 + 9*u**2 - y*u**2. Give d(l(s)). 256*s**4 Let s(t) = -10488*t. Let l(b) = -711*b. What is s(l(r))? 7456968*r Let s(b) = -33*b**2 + 11*b + 10. Let d(c) = -29*c**2 + 11*c + 9. Let y(w) = -7*d(w) + 6*s(w). Let j(h) = -2*h. Give y(j(z)). 20*z**2 + 22*z - 3 Let d(u) = -71*u. Let w(m) = -9*m**2 + 7*m + 42. Let a(l) = 171*l**2 - 135*l - 819. Let v(k) = -2*a(k) - 39*w(k). Give d(v(b)). -639*b**2 + 213*b Let o(x) = 4*x + 36. Let a(l) = -149*l + 5. Let w(k) = 723*k - 24. Let h(t) = 29*a(t) + 6*w(t). Give h(o(i)). 68*i + 613 Let v(m) be the third derivative of 3559*m**5/60 + 11*m**2 - 81. Let d(t) = 2*t**2. Calculate d(v(j)). 25332962*j**4 Let s(g) = g**2. Let r(z) = -22*z**2 - 2*z - 2. Suppose 0 = -27*j + 59 + 103. Let n(c) = -23*c**2 - 3*c - 3. Let y(o) = j*r(o) - 4*n(o). Give s(y(v)). 1600*v**4 Let l(b) = -b**2 + 3279599. Let h(y) = -62*y. What is l(h(p))? -3844*p**2 + 3279599 Let g(s) = 14908036 + 6*s - 14908036. Let f(l) = 25*l**2 - 6*l**2 + 13*l**2 + 3*l**2. Give g(f(q)). 210*q**2 Let q(n) = 31*n - 20*n - 15*n. Let h(a) = -52*a**2 - 13*a + 26. Let w(m) = -2*m**2 - m + 2. Let u(z) = h(z) - 13*w(z). Determine u(q(g)). -416*g**2 Let c(d) = 9*d. Let z(i) = -80*i - 55. Let l(w) be the second derivative of w**3/2 + w**2 + 226*w. Let r(j) = 110*l(j) + 4*z(j). What is r(c(x))? 90*x Let h(r) = -293394*r - 2. Let z(q) = -322*q**2. Calculate h(z(a)). 94472868*a**2 - 2 Let d(b) = 32326*b + 147. Let a(f) = 1347*f + 6. Let t(j) = 49*a(j) - 2*d(j). Let v(i) = i**2. What is v(t(w))? 1825201*w**2 Let q(v) = 232289173*v. Let r(g) = 2*g. Calculate r(q(p)). 464578346*p Let o(q) = -48*q**2 + 68*q**2 + 6 + 0 - 6. Let b(c) = -19*c**2. Give b(o(k)). -7600*k**4 Let o(w) = -w. Let c be (236/12)/(42 - 2) + 35/(-175). Let g(i) be the third derivative of 22*i**2 + 0*i**3 + 0 + 0*i + c*i**4. Give g(o(f)). -7*f Let l = 4073 + -4071. Let k(b) be the first derivative of 8 + 0*b + 3/2*b**l. Let d(g) = 18*g. Determine k(d(r)). 54*r Let y be (2/(-5))/(36/(-540)). Let n(a) = 20*a - 4. Let p(w) = -1. Let v(o) = y*p(o) - n(o). Let t(x) = 2*x**2. Determine t(v(j)). 800*j**2 + 160*j + 8 Let p(j) = -6*j**2 + 2*j - 12. Let f(c) = -190*c**2 + 65*c - 390. Let q(y) = 4*f(y) - 130*p(y). Let o(a) = -3*a**2 - 13. Give q(o(g)). 180*g**4 + 1560*g**2 + 3380 Let d(j) be the first derivative of j**2 + 273*j + 11780. Let o(i) = -21*i. Give o(d(h)). -42*h - 5733 Let m(x) be the first derivative of 12 - 38*x**2 + 37*x**2 + 1. Let f(i) = -3*i + 21. Let d(y) = -1. Let u(a) = 12*d(a) + f(a). What is u(m(g))? 6*g + 9 Let g(c) = 2529*c. Let b(r) = -143852*r**2. Calculate g(b(x)). -363801708*x**2 Let i(c) be the first derivative of 11*c**3/3 - 11*c**2 + 7887. Let v(q) = 2*q. What is v(i(h))? 22*h**2 - 44*h Let t be -3 + 195/10 + 4/(-8). Let q(j) = t*j**2 + 12*j**2 + 13*j**2 - 37*j**2. Let v(a) = 9*a. Calculate q(v(x)). 324*x**2 Let x(n) = -4*n**2 - 32*n - 6. Let l be x(-8). Let h(a) = 126*a. Let w(k) = -63*k. Let p(j) = l*h(j) - 11*w(j). Let d(i) = 2*i**2. Calculate p(d(r)). -126*r**2 Let a(g) = 10*g - 133188. Let b(u) = -280*u**2. Give a(b(s)). -2800*s**2 - 133188 Let g(f) = f - 80874. Let y(p) = -2*p - 14. Calculate g(y(m)). -2*m - 80888 Let m(f) be the third derivative of 31*f**5/60 - 2*f**2. Let j(n) = -9*n - 5. Let t(h) = 61*h - 25*h - 31*h + 3. Let u(o) = 3*j(o) + 5*t(o). Determine m(u(y)). 124*y**2 Let u(w) = -3903*w. Let k(y) = 13902*y**2. Determine k(u(m)). 211774851918*m**2 Let p(v) be the third derivative of 9*v**4/8 - 2*v**3 + 492*v**2 + v - 6. Let u(n) = 3*n**2. Calculate p(u(t)). 81*t**2 - 12 Let w(x) = -5*x**2 - x**2 + x**2 + 17*x**2 - 7*x**2 - 7*x**2. Let c(o) be the third derivative of -69*o**4/8 + o**2. What is w(c(u))? -85698*u**2 Let n(a) be the first derivative of 40*a**3/3 - a**2/2 + 6*a + 1562. Let r(c) = -c. What is r(n(q))? -40*q**2 + q - 6 Let v(p) = 187*p. Let b(x) be the second derivative of 4*x**3/3 - 64*x. Give v(b(h)). 1496*h Let f(w) be the first derivative of -13*w**3/3 - 4913. Let x(i) = -69*i**2. Determine f(x(n)). -61893*n**4 Let o(l) = -5*l**2. Let f(z) = -28*z**2 - 48*z - 39. Calculate f(o(b)). -700*b**4 + 240*b**2 - 39 Let v(i) = 2*i. Let h(q) be the second derivative of q**3/6 - 93*q**2 + q - 141. Calculate h(v(y)). 2*y - 186 Let x(z) = 185 + 4049*z - 2022*z + 210 - 2024*z. Let l(j) = -j. Calculate l(x(c)). -3*c - 395 Let m(k) = -7342*k**2. Let q(o) = o**2 + 89. Give q(m(h)). 53904964*h**4 + 89 Let r(q) = 3*q**2. Let d(v) = 9780*v**2 + 52*v. Calculate d(r(h)). 88020*h**4 + 156*h**2 Let d(w) be the third derivative of 149*w**5/60 + w**2 + 28*w. Let t(h) = h - 2. Let o(y) = -2*y + 3. Let s(n) = -2*o(n) - 3*t(n). Determine d(s(k)). 149*k**2 Let s(f) = -199 + 205 - 143*f + 131*f. Let p(v) = -8*v. Calculate p(s(b)). 96*b - 48 Let t(f) be the first derivative of -2*f**3/3 - 3. Let a(j) be the second derivative of 10 + 26*j - 86*j + 29*j + 2*j**3 + 28*j. Determine t(a(s)). -288*s**2 Let l(j) = -2*j. Let x(t) = 2*t. Let a(m) = 3*m + 6. Let w be a(-7). Let v(k) = k. Let o(g) = w*v(g) - 3*x(g). Calculate l(o(f)). 42*f Let w(b) be the first derivative of -98*b**3/3 - 27. Let c(x) = 8*x**2 + 23*x**2 - 34*x**2. Calculate c(w(d)). -28812*d**4 Let u(x) be the first derivative of 553*x**2/2 - 6593. Let a(p) = -2*p. Determine a(u(m)). -1106*m Let a(z) be the second derivative of 7*z**4/12 + 9*z + 2. Let q(m) = -4*m**2 - 18. What is q(a(d))? -196*d**4 - 18 Let p(c) = -3*c**2. Suppose -342 = 7*w - 181 - 182. Let a(s) be the second derivative of 0*s**2 + 5/6*s**4 + 0*s**w - 25*s + 0. Determine a(p(b)). 90*b**4 Let o(a) = 10*a**2 + 6. Let n(j) = 9*j**2 + 5. Let z(y) = 6*n(y) - 5*o(y). Suppose -9*g = -8*g - 9. Let t(p) = 16*p - 7*p - 6*p - g*p. Give z(t(v)). 144*v**2 Let p(w) be the second derivative of w**3/3 - 303*w - 1. Suppose 57 - 179 = -4*n - 2*t, -3*n + t + 79 = 0. Let c(i) = 4 - 5 + 1 - n*i**2. Calculate p(c(x)). -56*x**2 Let a(c) = -3*c + 48. Let f(p) = 111 - 132 - 2*p + 21. Determine a(f(r)). 6*r + 48 Let d(z) = 69*z. Let g(s) = -2*s + 23. Let b(i) = 12*i - 115. Let m(l) = -b(l) - 5*g(l). Calculate d(m(x)). -138*x Let h(v) = -2213*v - 2215*v + 4432*v. Let g(c) be the third derivative of c**5/15 + 5*c**2. Determine g(h(y)). 64*y**2 Let m = 47 + -45. Let x(q) = -7*q**2 + 2*q**2 - 4*q**m + 4*q**2. Let w(j) = -9*j**2 - 8*j**2 + 10*j**2. What is w(x(h))? -175*h**4 Let b(c) = 409 + c - 409. Suppose -6*k + 1 = 7. Let f(q) = -1. Let h(z) = 3*z - 9. Let g(l) = k*h(l) + 9*f(l). Determine g(b(d)). -3*d Let c(x) = -x + 138. Let q(s) = 2*s + 8646. What is c(q(w))? -2*w - 8508 Let i(u) = 2*u**2 + 8*u. Let l(k) = -15*k**2 - 40*k - 12. Let b(a) = -5*i(a) - l(a). Let j(y) = -y**2. What is b(j(r))? 5*r**4 + 12 Let v(a) be the third derivative of a**5/20 + 11*a**2 - 24*a. Let g(q) = -95*q**2. Give v(g(c)). 27075*c**4 Let h(d) = 568*d - 128. Let c(n) = 341*n - 64. Let t(l) = -5*c(l) + 3*h(l). Let g(k) = 5*k**2. Give t(g(v)). -5*v**2 - 64 Let j(z) = 2*z + 5. Let f = 50 + -55. Let v(k) = -k - 2. Let b(p) = f*v(p) - 2*j(p). Let d(l) = -8*l - 8*l + 17*l. Determine b(d(t)). t Let l(q) = -17*q. Let m(g) = 88*g - 16377. What is m(l(k))? -1496*k - 16377 Let o(
{ "pile_set_name": "DM Mathematics" }
. Which is the second smallest value? (a) h (b) o (c) -1/2 c Let w = 346 - 346.07. Which is the second biggest value? (a) 3 (b) -0.04 (c) w (d) -0.1 b Let t = -47 - -48.3. Let l = 1.3 - t. Let o = 3 + -8. Which is the biggest value? (a) 2 (b) l (c) o a Let a = 1566787 - 10937592/7. Let o = 4267 - a. Let n = 157/28 + o. What is the biggest value in 1, n, 5? 5 Suppose 6*d - 24 = -2*d. Let u be (d - 164/56)*-8. What is the fourth smallest value in 4/5, -0.2, 3/7, u? 4/5 Let y = -0.25 + 0.05. Let t = 195 - 265/2. Let k = t + -62. Which is the third smallest value? (a) k (b) y (c) 0 a Suppose 2*i - 16 = 10. Suppose 4*h + 3 = -i. Which is the second smallest value? (a) 4 (b) h (c) -0.9 c Let k be -5 + -7 - (1 + 1). Let i be k/(-42)*12/(-14). Which is the third smallest value? (a) -5 (b) -3 (c) i c Let g = -15 + 17.2. Let j = -4.7 + g. Let i = 2.1 + j. What is the third smallest value in i, 2, 0.5? 2 Let m = 2243 - 2241. Which is the second smallest value? (a) m (b) -5 (c) 3.64 a Let k be 6/54 + 21/(-27). Suppose 2*f + m = 3, -3*m - 2 = 2*f - 7. Which is the second biggest value? (a) 6 (b) k (c) f c Let i(j) = -3*j - 9. Let y be ((-28)/(-70))/(2/20). Suppose 4 + 20 = -y*m. Let f be i(m). Which is the third smallest value? (a) -0.5 (b) f (c) 2 b Let k = 257.5 + -196. Let u = k + -61. What is the fourth biggest value in u, -5, 1, 0.01? -5 Let f = -1.27 - -0.27. Which is the fourth biggest value? (a) 12 (b) f (c) 0 (d) 0.2 b Let k = -4 - -3. Let d = k - -2. Let i = -1884 + 1881. Which is the second biggest value? (a) i (b) d (c) -1/2 c Let y = -2.7 + 2.1. What is the second smallest value in y, 2, 4? 2 Suppose 4*a + 2*a = 6. What is the smallest value in -0.2, -1.16, a? -1.16 Let w = -204 - -199. Which is the smallest value? (a) -8 (b) w (c) -3 (d) -1/3 a Let z be ((-2)/27)/(2/(-12)). Let s be 36/(-108) - (-4)/(-6). What is the third biggest value in 2, s, z? s Let i be (-24 - -20)*(-3)/(-42). Which is the second smallest value? (a) 24 (b) i (c) 4/9 c Let u be (-4 - (-78)/15)*(-80)/(-32). What is the third smallest value in u, 86, 2, -4? u Let c = 249 - 248. What is the third smallest value in -4, 5, 0.4, c? c Let b be ((-1)/(-2))/(7/(1 - 8)). What is the fourth smallest value in 2/17, -0.1, b, -2? 2/17 Let l = -2438 + 2438.07. What is the fourth smallest value in -1/5, -7, l, 4? 4 Let x = 3 + 0. Suppose -z + u + 20 = -x*u, -5*z - 2*u = -100. Suppose -n - 3*n - z = 0. Which is the smallest value? (a) -0.1 (b) n (c) 0.03 b Let c be (-1)/(2 + 9/(-6)). Suppose -2*s - 28 = 3*a, -4*s = 4*a - s + 38. What is the smallest value in -0.1, c, a, -4? a Let g = -87/4 - -21. Let s = -50/11 + 95/33. Which is the second biggest value? (a) 0.4 (b) g (c) s b Let z(x) be the first derivative of x**3/3 - 5*x**2 - 22*x + 8. Let d be z(12). What is the third biggest value in d, 0.2, -4? -4 Let g be 51/45 - (3 + -5 - -3). Let n(z) = -z + 1. Let v be n(1). Let q be 1 + (-1 - v) + -2. Which is the third biggest value? (a) -2/3 (b) q (c) g b Let u(y) = 2*y**2 + 8*y + 18. Let i be u(-5). What is the smallest value in 5, -0.4, 1, i? -0.4 Let d = -61/155 + 6/31. Let c = -372 - -377. What is the smallest value in c, d, 0.3? d Suppose -8*g = -2*t - 5*g + 32, -4*t - g = -36. Suppose b - t = -b. Let p = 0.03 + 0.37. What is the second biggest value in p, -2, b? p Let y = 15.4 + 0.2. Let w = -438 + 423. Let d = w + y. Which is the second smallest value? (a) 0 (b) -2/11 (c) d a Let r = 6.1 + -31.1. Let p = 41 + r. Let l = -21 + p. Which is the biggest value? (a) 2 (b) 0.9 (c) l a Let c = -387 - -382. What is the second smallest value in c, 0, 94/5? 0 Let m = 9 - 14. Let w = -3.2 + -0.8. Suppose 2 = 3*y + 5. What is the third smallest value in w, m, y? y Let i = -1871 - -1872.3. Which is the third biggest value? (a) -1 (b) i (c) -16 c Let l = -0.5 - -0.2. Let u = 31057/2 + -15528. Which is the third smallest value? (a) u (b) l (c) 8 c Let t = 1206 + -1206.2. What is the third smallest value in 1.3, 4, t, -5? 1.3 Let j = 5.44 + -0.44. Let g be (-2)/(-20)*18/(-9). What is the fourth smallest value in 2, 0.5, g, j? j Let y = 0 - 0. Let h = -118.98 + 121. Let v = 1.02 - h. Which is the second biggest value? (a) -0.2 (b) y (c) v a Suppose 8*u - 26 = -58. Which is the second smallest value? (a) 3/13 (b) 3 (c) u a Let n = -10 - -8. Let u = n + 11. Let y = u + -9.4. What is the smallest value in -1, y, 3? -1 Let w be 2/((-1)/(-2)*2). Let f be (((-10)/(-4))/(-5))/(28/16). Which is the fourth smallest value? (a) 2/15 (b) 0.3 (c) w (d) f c Let k = -535 + 4813/9. What is the third biggest value in k, -121, 0.1? -121 Let g = 2 - 2. Let q = 5797 + -5801. What is the second biggest value in -2, 3, q, g? g Let y = 200 + -199.6. Let w = 0 - 0.2. What is the biggest value in -4/3, y, w? y Suppose 18*m - 20*m = 2. Let i be 15/90 + (-10)/(-12). What is the fourth smallest value in m, -2/9, i, -4? i Let o = -0.01 - 4.99. Let x be ((-3)/(-9))/(15/9). What is the second smallest value in x, -2/3, o? -2/3 Let j = -280 + 285. Let p = -0.01 - -0.41. Which is the third biggest value? (a) p (b) j (c) 2 a Suppose -5*n + 17 + 28 = 0. Let j(g) = 3*g**2 + n*g + 4 - g**2 - 3*g**2 + 2*g**2. Let z be j(-8). What is the second smallest value in z, -0.3, 0.5? -0.3 Let f = 30.072 - 0.072. Let k = -39 + f. Which is the second smallest value? (a) k (b) 1/10 (c) -1/2 (d) 0.5 c Let k = 34 + -32. Let y = 23 + -23.4. Which is the smallest value? (a) -3 (b) k (c) y a Let l = -44 + 47. What is the third biggest value in l, -2, 5.7? -2 Suppose -u = -6*u + 30. Let z be 5/(-33) + u/18. Let i = 15/13 + -17/13. What is the third biggest value in i, 5, z? i Suppose 0 = 3*z - 13 - 2. Suppose -3*b + z*b + 2 = 0. Let x = 15 + -14. What is the smallest value in 2, b, x? b Let s be ((-1)/4)/((-68)/32). What is the smallest value in -0.1, 5/3, s, 3? -0.1 Let j be -1*(-6)/(-9) - (-936)/1350. Which is the smallest value? (a) -4 (b) 2 (c) -0.5 (d) j a Let o = -378 - -383. What is the biggest value in o, -3, 2, -18? o Let y = 2259 - 2257. What is the biggest value in -1, -0.019, y, 2/5? y Let z = -3.23 - 6.77. Let r = 8 - 7.6. What is the third biggest value in z, -0.5, r? z Suppose -21*k - 8 = -13*k. What is the third biggest value in k, 10, 1? k Let g = 87 - 86. Which is the third biggest value? (a) g (b) 1/3 (c) 0.3 c Let d = 229.1 - 229. What is the smallest value in 5, -0.3, d, 1/5? -0.3 Let r(v) = -v**3 + 3*v - 1. Let b be r(2). Let m = -4.1 - -1.9. Let d = 0.2 + m. What is the biggest value in d, -0.06, b? -0.06 Let o = -14/15 - -68/105. Let x = 2.2 + -1. Let v = x + -1.24. Which is the biggest value? (a) v (b) 3 (c) o b Let r = -0.127 - -0.027. What is the second biggest value in 1/6, -0.19, r, 3? 1/6 Suppose 0 = 5*t + 14 - 4. Let z be -5*(0 + 1/t). What is the smallest value in -6, 0.1, z? -6 Let t(p) = 2*p**2 + 10*p + 6. Let w be t(-3). What is the smallest value in -1, -1/2, w? w Let z = 57 - 101. Let g = 42 + z. What is the second smallest value in g, -1/7, -0.5? -0.5 Let p = 553/3 + -3877/21. Which is the smallest value? (a) 4 (b) 0.51 (c) p (d) -2/9 c Let q = 822 + -817. Which is the second smallest value? (a) q (b) 1/5 (c) 0.086 (d) 0 c Let f = -1.243 - -1.403. Which is the second smallest value? (a) 4 (b) 0.1 (c) f c Let f = 35 + -69. Let s = 868 - 833.8. Let m = f + s. Which is the smallest value? (a) -0.2 (b) 2 (c) m a Let w = -1/52 - 3/13. Which is the third smallest value? (a) w (b) -0.5 (c) -57 (d) 4 a Let m = 9.98 + -6.98. What is the third biggest value in -2/77, 1, m, -0.4? -2/77 Let z = -1 + 0.8. Let p = -0.23 - -2.43. Let h = -2.7 + p. Which is the smallest value? (a) h (b) 2/11 (c) z a Suppose 0 = 75*z - 39 - 336. Let f = 2 - 4. Suppose -d = -3*d + 8. Which is the biggest value? (a) d (b) z (c) f b Let z be (2 + (-21)/14)/(6/(-4)). What is the second biggest value in -7, -3/5, z? -3/5 Let h = 3.1 - 1.3. Let z = h - 2.8. What is the biggest value in z, 1, -2/3? 1 Let k = 1101.7 - 1039. Let v = 63 - k. What is the third smallest value in v, 2/5, 1? 1 Suppose 8*k + 4556 - 3556 = 0. Which is the third smallest value? (a) 0 (b) 0.4 (c) k b Let d(m) be the first derivative of -m**3/3 + 5*m**2/2 - 8*m + 8.
{ "pile_set_name": "DM Mathematics" }
2459070? False Is 29068730 a multiple of 2942? False Does 22 divide 7137645? False Is 67 a factor of 119562? False Is 738 a factor of 304749? False Does 45 divide 77938? False Is 53983 a multiple of 374? False Is 196749 a multiple of 13? False Is 1171 a factor of 3623074? True Does 723 divide 6357339? True Is 301 a factor of 28181? False Does 247 divide 726523? False Does 1125 divide 24689341? False Does 387 divide 16360038? True Does 16 divide 1058080? True Does 89 divide 23455149? True Does 43 divide 190311? False Is 7 a factor of 42500? False Is 4605194 a multiple of 22? True Is 347310 a multiple of 681? True Is 265650 a multiple of 23? True Is 13 a factor of 1709099? False Does 14 divide 265744? False Is 28 a factor of 5182944? False Is 1051 a factor of 4664338? True Is 745 a factor of 8250130? True Is 62 a factor of 1315331? False Does 13 divide 3353610? True Is 9 a factor of 1540307? False Does 4 divide 1278944? True Does 127 divide 131445? True Is 34 a factor of 13729? False Does 95 divide 1214670? True Is 1885538 a multiple of 47? False Is 21 a factor of 802323? False Is 343 a factor of 4860310? True Does 14 divide 209991? False Is 115 a factor of 1017405? True Is 153080 a multiple of 8? True Is 390 a factor of 99335? False Is 1542409 a multiple of 281? True Is 4228376 a multiple of 45? False Is 543283 a multiple of 79? True Does 407 divide 4225474? True Does 12 divide 398845? False Is 3666 a multiple of 39? True Is 4 a factor of 157264? True Is 236368 a multiple of 158? True Does 21 divide 4881942? False Is 8 a factor of 5028994? False Does 97 divide 368212? True Is 122 a factor of 386978? False Is 2417247 a multiple of 323? False Does 34 divide 28016? True Does 16 divide 2706224? True Does 5 divide 6332? False Is 2029750 a multiple of 457? False Is 27 a factor of 1179873? True Is 30479 a multiple of 256? False Is 63341 a multiple of 97? True Is 92414 a multiple of 12? False Does 41 divide 9074847? False Is 36448 a multiple of 138? False Is 126875 a multiple of 1015? True Does 26 divide 140718? False Is 102 a factor of 1020? True Is 4301892 a multiple of 12? True Is 100387 a multiple of 711? False Is 107728 a multiple of 8? True Is 7 a factor of 101012? False Is 270 a factor of 4008? False Does 161 divide 492660? True Does 130 divide 796142? False Is 128048 a multiple of 3? False Is 27 a factor of 8888940? True Is 489 a factor of 6569954? False Does 26 divide 1076686? True Is 8 a factor of 588904? True Is 119786 a multiple of 101? True Is 4249632 a multiple of 48? True Is 6 a factor of 2130? True Is 674162 a multiple of 70? False Does 28 divide 98700? True Is 729968 a multiple of 43? True Does 170 divide 2819960? True Is 612 a factor of 2547144? True Is 2237046 a multiple of 25? False Is 133 a factor of 266000? True Is 2869275 a multiple of 265? False Is 559026 a multiple of 234? True Is 39 a factor of 1476997? False Does 1551 divide 129390? False Is 143 a factor of 728013? True Is 231889 a multiple of 46? False Does 3 divide 38064? True Does 5 divide 523364? False Is 249447 a multiple of 11? True Does 5 divide 73462? False Is 6 a factor of 275753? False Is 267 a factor of 1422347? False Is 6 a factor of 291? False Is 101 a factor of 109? False Does 221 divide 136965? False Does 43 divide 838268? False Does 22 divide 132610? False Is 5725966 a multiple of 479? True Is 31318 a multiple of 7? True Does 161 divide 220313? False Does 30 divide 748491? False Is 624 a factor of 104832? True Is 962465 a multiple of 749? True Is 25900 a multiple of 37? True Is 72027 a multiple of 30? False Does 993 divide 1889447? False Is 894 a factor of 59070? False Is 1632280 a multiple of 430? True Does 11 divide 493864? False Does 330 divide 236610? True Does 50 divide 1884150? True Is 20 a factor of 30680? True Is 28 a factor of 12640190? False Does 22 divide 1014094? False Is 6 a factor of 2761123? False Is 136104 a multiple of 53? True Is 599440 a multiple of 1180? True Does 176 divide 253272? False Does 35 divide 127750? True Does 10 divide 17442000? True Is 20 a factor of 10586528? False Is 518 a factor of 46102? True Is 3383258 a multiple of 4? False Is 11124382 a multiple of 1958? False Is 248332 a multiple of 28? True Is 16 a factor of 12831701? False Is 87648 a multiple of 352? True Is 623876 a multiple of 42? False Is 6 a factor of 813599? False Is 309 a factor of 10563? False Is 744 a factor of 6574626? False Does 21 divide 131052? False Is 4589006 a multiple of 1169? False Does 424 divide 638382? False Is 104660 a multiple of 10? True Is 269 a factor of 196101? True Is 1070289 a multiple of 171? True Is 28 a factor of 79466? False Does 212 divide 97096? True Is 394 a factor of 5851294? True Does 5 divide 234020? True Is 18 a factor of 1169460? True Is 47 a factor of 979997? True Is 228762 a multiple of 9? True Does 126 divide 514710? True Is 13367090 a multiple of 887? True Does 14 divide 15881? False Is 121076 a multiple of 12? False Does 18 divide 69210? True Is 29232 a multiple of 9? True Does 14 divide 15914686? False Is 246 a factor of 911922? True Does 10 divide 156025? False Is 268776 a multiple of 21? False Does 6 divide 685? False Is 19 a factor of 527953? True Is 2361120 a multiple of 240? True Is 10 a factor of 5136060? True Does 142 divide 8884514? True Does 70 divide 103740? True Is 4074778 a multiple of 19? True Is 901324 a multiple of 101? True Does 50 divide 11054750? True Does 30 divide 208035? False Is 53 a factor of 2100655? True Is 923072 a multiple of 18? False Does 119 divide 2310742? True Is 356475 a multiple of 21? True Is 8797 a multiple of 3? False Does 35 divide 55393? False Is 90 a factor of 6275616? False Is 43 a factor of 4947468? False Is 56758 a multiple of 59? True Is 95482 a multiple of 98? False Is 41695 a multiple of 111? False Is 1046344 a multiple of 26? True Does 150 divide 85950? True Does 39 divide 6381? False Is 5 a factor of 593887? False Does 6 divide 1064812? False Is 448 a factor of 1599360? True Does 717 divide 4202370? False Is 300 a factor of 12427500? True Is 16548882 a multiple of 61? False Is 56848 a multiple of 136? True Is 210 a factor of 168000? True Is 749320 a multiple of 15? False Does 2 divide 1316? True Is 113 a factor of 2222330? False Is 501 a factor of 215430? True Does 109 divide 483400? False Is 34 a factor of 3076048? True Is 56 a factor of 2527336? True Does 16 divide 653376? True Does 10 divide 178156? False Is 1153536 a multiple of 19? False Does 73 divide 18504843? True Is 9 a factor of 2220372? True Does 180 divide 318721? False Is 1326360 a multiple of 40? True Does 47 divide 4331144? True Does 1082 divide 7815283? False Does 53 divide 309138? False Is 8 a factor of 356880? True Is 46963 a multiple of 6? False Is 103 a factor of 694426? True Is 445556 a multiple of 11? False Is 620 a factor of 2466360? True Is 11 a factor of 1512896? True Does 47 divide 9078755? True Does 175 divide 231700? True Does 9 divide 2433591? True Does 34 divide 3050276? True Is 685356 a multiple of 523? False Is 2521090 a multiple of 86? True Is 25 a factor of 10487050? True Does 90 divide 1843231? False Does 25 divide 1171862? False Is 22222 a multiple of 16? False Does 156 divide 923172? False Is 73 a factor of 480486? True Is 19 a factor of 1191897? False Is 77805 a multiple of 9? True Is 10 a factor of 379584? False Is 659016 a multiple of 620? False Does 105 divide 109105? False Is 5741454 a multiple of 1585? False Does 18 divide 1756412? False Is 659071 a multiple of 76? False Does 315 divide 228545? False Does 651 divide 2089059? True Is 97 a factor of 169697? False Is 390555 a multiple of 297? True Is 462 a factor of 6103482? True Is 165558 a multiple of 4? False Does 14 divide 416990? True Is 104065 a multiple of 125? False Is 946975 a multiple of 385? False Does 347 divide 6679750? True Does 9 divide 2976571? False Is 27 a factor of 42930? True Does 366 divide 229848? True Is 279 a factor of 19370601? False Does 12 divide 2499864? True Is 188368 a multiple of 16? True Is 138 a factor of 1120579? False Is 6694441 a multiple of 19? True Is 179 a factor of 13604? True Does 19 divide 195928? True Is 57 a factor of 641364? True Is 454 a factor of 3236504? False Is 3638945 a multiple of
{ "pile_set_name": "DM Mathematics" }
e least common multiple of d(-5) and 8? 136 Let w(k) = -k**3 + k**2 + 48. Let q(i) = i + 3. Let m be q(-3). Let y be w(m). Find the common denominator of -93/16 and (-213)/y - 3/(-6). 16 Let v(f) = f**2 - 6*f - 7. Let b be v(7). Suppose b = -10*r + 5*r + 30. Suppose 3*k = 4*p - 2*p - r, 3*k = 6. What is the lowest common multiple of p and 20? 60 Let w(y) = 10*y + 1. Let m(b) = b**2 + 6*b + 5. Let n be m(-6). Suppose 8*x = -4*p + 3*x + 28, p = -n*x + 22. What is the least common multiple of w(1) and p? 22 Suppose -5*v = 25, 2*v + 49 = 3*u - 3*v. Calculate the smallest common multiple of 3 and u. 24 Let m = -8978 - -4305. Let k = -37331/8 - m. Let v = 6/823 - 42105/18106. Find the common denominator of k and v. 88 Suppose -5*f = -0*f - 105. Suppose 0 = v - 3*k + 8 - 24, -12 = 3*v + 3*k. Calculate the smallest common multiple of f and v. 21 Let u = 0 + 11. Let n(g) = -4*g + 26. Calculate the lowest common multiple of n(6) and u. 22 Let a be ((2 - -4)*-1)/1. Let o(l) = l**3 - 6*l**2 - 3*l + 4. Let x be o(6). Find the common denominator of -9/4 and 129/x - a/(-21). 4 Let q be (-25)/(-1)*-1*1. Let u = -4 + q. Find the common denominator of u/(-4) - 0 - -1 and 73/10. 20 What is the common denominator of ((-99)/21)/(16/7) and -67/14? 112 Suppose 8 = -2*u + 4*u - o, -4*u + 20 = -3*o. Calculate the smallest common multiple of u and 4. 4 Let t(n) = -34*n**3 - 3*n**2 - 2*n - 2. Let h be t(-2). What is the common denominator of -3/8 and 13/39 + h/(-60)? 120 Suppose 4*o + 2*v + 0 = 2, 5*o = 5*v - 35. Calculate the least common multiple of 10 and 6 + o/(-4)*2. 70 Let i(w) = 18523*w**2 + 4. Let f be i(4). Let t = 2377079/8 - f. Let x = t + -751. Calculate the common denominator of -73/3 and x. 24 Let b = 541/1500 - -7/125. What is the common denominator of b and -61/8? 24 Let f(u) = u**3 + 9*u**2 + 5*u - 2. Calculate the smallest common multiple of f(-8) and 112. 1232 Let o = -20 - -28. Let u be (-4)/2 - (-4 + o). What is the common denominator of (-604)/360 - u/(-10) and -103/12? 36 Let x = -16 + 76. Find the common denominator of (-279)/x + 3/(-15) and -71/16. 80 Let g(r) = -r**2 - r. Let w(x) = 3*x**2 + 2*x - 2. Let a(c) = 4*g(c) + w(c). Let d be a(-2). Find the common denominator of 1/(-7)*(45 + d) and 19/11. 77 Calculate the least common multiple of 8 and 462/(-147)*(-6 + -1). 88 What is the least common multiple of 4/4 - (3 + -3) and 4/(2 - 4/3)? 6 Let z be 82508/(-7812) - (-2)/7. Let b = z - -136/31. Let i = 6242/55 + -1134/11. Calculate the common denominator of b and i. 45 Suppose -3*f = -8*f. Suppose 18 = 2*k - f*k. What is the least common multiple of 1/2*(k - 7) and 5? 5 Let c = -23 - -31. Let x = 7 + 15. What is the least common multiple of x and c? 88 Suppose -m = 5*l - 6, -3*m - 6 = -4*m - 2*l. What is the lowest common multiple of m and 14? 42 Let c(g) = -4*g + 3*g + 4 + 0*g. Let b be c(5). Let l = b + 2. Calculate the smallest common multiple of 3 and l. 3 Let m = -25051/6 - -4159. What is the common denominator of m and 5/3? 6 Suppose 0*f = -5*n + f - 596, 4*n = 2*f - 472. Let w be 2/6 - 286385/n. Let u = w - 2381. Find the common denominator of u and 1/10. 40 Let g(c) = -c**2 + c + 7. Let x be g(0). Let u(k) = k**2 - 6*k - 6. What is the least common multiple of 6 and u(x)? 6 Let i = 74 - 62. What is the least common multiple of 16 and i? 48 Suppose 0 = 2*f - 1 - 11. Suppose 4 = -c + 15. What is the least common multiple of c and f? 66 Let m(a) be the first derivative of -a**4/4 + 4*a**3/3 + 3*a**2 + 2*a - 1. Calculate the lowest common multiple of 4 and m(5). 28 Let b be 21/9 + 4/6. Suppose -a + b*z + 11 = 0, a - z = 1 + 14. What is the lowest common multiple of a and 11? 187 Let q = 1785831/50 + -35718. Calculate the common denominator of 29/40 and q. 200 Let j = 11 + -6. Let w be (0 - 21/3)/1. Let t = 10 + w. What is the smallest common multiple of j and t? 15 Let x = 126 + -76. Calculate the lowest common multiple of 6 and x. 150 Calculate the common denominator of 17/9 and 1 + -1 + (-68)/8. 18 Let s = -237 - -243. Suppose -r = -5*h + 4, r + 16 = 2*r + 5*h. Calculate the least common multiple of r and s. 6 Let v = 25010 + -1350463/54. Find the common denominator of v and 107/12. 108 What is the common denominator of 99/8 and 0 - 1*(-35)/12? 24 Suppose 0 = s - 2*p + 3, 2*p + 2 = 2*s - 0*s. Calculate the smallest common multiple of 6 and s. 30 Let n(s) = 3*s + 60. What is the lowest common multiple of 27 and n(-17)? 27 Suppose 2*s + 72 = 4*s. Calculate the smallest common multiple of s and 8. 72 Find the common denominator of (-153)/4 - 6/24 and 91/8. 8 Calculate the lowest common multiple of 8 and 8*(1/2 - 0). 8 Let m = -26764368365/1579086 - -62/87727. Suppose 19416 = -3*c - 31446. Let z = m - c. What is the common denominator of z and -5/4? 36 Let y(u) = -u**3 + 4*u**2 + 11*u - 18. Calculate the smallest common multiple of y(5) and 24. 24 Find the common denominator of 2*-2*415/(-160) and -123/80. 80 Let u(s) = s**3 + s**2 - s + 3. Let p be u(0). What is the smallest common multiple of p + -1 - (-6 - -2) and 16? 48 Find the common denominator of 83/32 and (-254)/(-20) - 3/1. 160 Let u = -2803/2 - -1432. What is the common denominator of u and (-11)/(-22)*76/22? 22 Let l = 3/603325 - 1261793911/1206650. Let f = -1048 - l. Find the common denominator of f and -36/11. 110 Let w = 55 - 51. Calculate the smallest common multiple of (-52)/(-9) + 8/36 and w. 12 Let x = -4 - -29. Calculate the least common multiple of x and 9. 225 Let a(t) = -10*t - 1. Calculate the lowest common multiple of a(-1) and 6. 18 What is the lowest common multiple of 2 and (-644)/(-70) - (-2)/(-10)? 18 Let d be (-4)/(-6)*21/96509. Let v = 1916405/82722 - d. Let p = -5983/8 + 751. What is the common denominator of p and v? 24 Let z = 27 + -49. Let q = -63/55 - -72/11. What is the common denominator of (z/(-2))/(0 - -2) and q? 10 Suppose -2*v = -4*n - 1 - 19, -5*v = 3*n + 2. Calculate the least common multiple of (11 + 1)*9/6 and v. 18 Let t = -5 + 1. What is the common denominator of (t/(-27))/(9/(-270)) and 1/9? 9 Let y = 225 - 195. What is the lowest common multiple of 8 and y? 120 Let c be (-16)/12*(-54)/4. Let r = -10 + c. What is the smallest common multiple of 4 and r? 8 Suppose -3 = -i + 5. Find the common denominator of (i - -1)*8/(-30) and -17. 5 Let r be (-23)/7 + 4/14. Calculate the common denominator of (-15)/18*27/30 and (r - 1)*(-1)/2. 4 Let g = 3049 + -36539/12. Let l = 11746063/80 - 146822. Let d = l + -27/16. Find the common denominator of d and g. 60 Suppose -4*k = -0*v - v + 390, 3*k = -4*v - 283. What is the common denominator of k/(-42) + 1/3 and (-139)/(-180) - 4/18? 140 What is the common denominator of 71/8 and 3 - (-2)/((-20)/49)? 40 Let i(o) be the second derivative of o**5/20 + o**4/2 - 5*o**3/3 - 5*o**2/2 - 3*o. Let k be i(-7). Find the common denominator of (-259)/21*6/k and 123/10. 40 Suppose -2*s + 66 = 4*o, 74 = 3*o + 2*s + 24. Let c(x) = -3*x - 5. Suppose 2*b = -2*q - 18, 6 = -3*b - 0. What is the least common multiple of o and c(q)? 16 Let i = 17 + -12. Suppose i*d = 4*d. Suppose f - 2*z - 1 = d, 5*z - 2 = -0*f + f. What is the least common multiple of 7 and f? 21 Let l = 24 + -14. Calculate the smallest common multiple of 38 and l. 190 Let k = -481 - -3805/8. Find the common denominator of k and -145/12. 24 Suppose 4*o = 18 + 10. Let y(f) = 0*f + 1 + 0*f - f. Calculate the lowest common multiple of o and y(-3). 28 Let o = 0 - 25. Let m = 1319/2 - 696. Calculate the common denominator of (4 - 2) + o/6 and m. 6 Let y = -34 + 56. Suppose t + 3*r + 144 = 4*t, 2*r = -t + 48. Suppose 0 = 4*m + 4*z - t, -5*m - 60 = -10*m + 4*z. What is the lowest common multiple of y and m? 132 Let p = 71 + -181/3. Suppose 0 = -2*n - n - 30. Find the common denominator of n and p. 3 Suppose b = -b. Suppose 0*p - 4*p + 216 = b. Suppose -5*o + v = -p, -3*v + 7 = 2*o - 1. What is the smallest common multiple of 9 and o? 90 Suppose s = 3*l - 51, 5*l + 2*s = s + 77. Calculate the lowest common multiple of 44 and l. 176 Find the common denominator of -79/6 and ((-3)/4)/(14/120). 42 Let p(a) = a - 5. Suppose -h = 4*h - 5. What is the least common multiple of h and p(8)? 3 Let k(i) = i**2 + i - 8. Suppose 15*s - 50 = 10*s. What is the least common multiple of
{ "pile_set_name": "DM Mathematics" }
Find the second derivative of 1327*p + 408*p - 51*p**5 - 53*p**3 - 52*p**3 - 50*p**3 + 156*p**3 wrt p. -1020*p**3 + 6*p Let x(w) be the first derivative of -w**8/7 - 95*w**4/12 - 33*w + 42. Let r(c) be the first derivative of x(c). What is the third derivative of r(i) wrt i? -960*i**3 Let p = 149 + -147. Find the second derivative of -54*o**p + 166*o**2 - 6*o - 3 - 32*o**2 wrt o. 160 Let y(s) = -s**3 + 5*s**2 + s + 4. Let x be y(4). Suppose 17*g = 14*g + x. What is the second derivative of -11 + 3 - 16*d + g + 12*d**3 wrt d? 72*d Let n(i) be the second derivative of 698*i**4/3 + 833*i**3/6 - i**2 + 2153*i. What is the second derivative of n(f) wrt f? 5584 Let q = -343 - -341. Let b(d) = 354*d - 443. Let h(i) = -71*i + 89. Let a(g) = q*b(g) - 11*h(g). Differentiate a(z) with respect to z. 73 Differentiate -310*n + 318 - 1965 - 8898*n**2 + 8901*n**2 - 211 - 282*n wrt n. 6*n - 592 Let s be (2/(-8))/(85/(-12) + 7). Suppose -4*c - s*m - 1 + 13 = 0, -m = 4*c - 20. Find the first derivative of -16*w**2 + c - 2 + 41*w**2 + 29 wrt w. 50*w Let z be ((-10)/6)/(-6 + (-31)/(-6)). Find the third derivative of -107*s**3 - 89*s**2 + s + 135*s**3 - z*s wrt s. 168 Let b(g) = -370*g**4 + 8*g**2 - 1052. Let d(l) = 740*l**4 - 14*l**2 + 2105. Let z(y) = -7*b(y) - 4*d(y). Differentiate z(o) with respect to o. -1480*o**3 Let b be ((-15)/(-9))/((-5)/(-18)). Suppose -8 = -b*v + 4. Differentiate -13 - v + 18*t**2 - 5*t**2 with respect to t. 26*t Let g(c) be the second derivative of 31*c - 33*c**2 + 5/12*c**4 + 2 + 0*c**3. What is the derivative of g(u) wrt u? 10*u Let q(l) be the second derivative of -964*l**5/5 - 1521*l**4/4 - 4*l - 4. Find the third derivative of q(r) wrt r. -23136 Let d(l) be the third derivative of 1/6*l**3 + 6*l + 0*l**5 + 31/24*l**4 + 10*l**2 + 0 - 9/20*l**6. What is the second derivative of d(r) wrt r? -324*r What is the third derivative of 1156*l**4 + 3813*l**2 - 3573*l**5 - 1156*l**4 wrt l? -214380*l**2 Suppose -5*x - 3*q = -0*x - 240, x + 4*q = 65. Find the first derivative of -5*l + 7*l - l**2 + x + 3*l + 3*l wrt l. -2*l + 8 Suppose y - 3*m - 9 = 0, -4*y + 2*m = -3*y - 8. Find the first derivative of y*g - 6*g - 62 + 28*g**3 - 5*g**3 wrt g. 69*g**2 What is the second derivative of -25*z + 233*z**2 + 825*z**2 - 203*z**2 - 958 + 42*z - 3*z**3 - 21*z wrt z? -18*z + 1710 Let s(u) = u**2 - 4*u + 4. Let k be s(5). Suppose -k + 19 = 2*z. Find the third derivative of 0*g**5 - 62*g**2 + 25*g**2 + g**z + 4*g**5 wrt g. 300*g**2 Let g be 0 + (-5 - 30/(-3)). Suppose -1 = -2*t + 4*t - 3*m, g*t - 30 = m. What is the third derivative of -40*c**5 - 6*c**2 - 6*c**4 + t*c**2 + 6*c**4 wrt c? -2400*c**2 Let t(g) be the third derivative of 2*g**7/15 + 7*g**6/60 - 727*g**3/6 - 1084*g**2 + 2. What is the derivative of t(n) wrt n? 112*n**3 + 42*n**2 Let s be -2*(14/(-4) - 1). Suppose 2*w - 24 = -24*p + 28*p, 30 = 3*w - 4*p. What is the derivative of s + 4 + w + 4 - 15*f wrt f? -15 Suppose -117*j = -118*j + 44. What is the third derivative of j*u**2 + u - 36*u**4 + 10*u**2 + 166*u**3 - 164*u**3 wrt u? -864*u + 12 Let g be 1/(-6) - (-425)/102. Differentiate 30*n + 61 - 36*n - 2*n**g + 52 with respect to n. -8*n**3 - 6 Let g(m) = -548*m**3 - 12*m**2 - 39*m - 13668. Let x(q) = -3*q**3 + 2*q**2 + 5*q + 1. Let a(c) = -g(c) - 6*x(c). Differentiate a(v) wrt v. 1698*v**2 + 9 Differentiate 148 + 12 + 76 - 18 - 254*n - 13 with respect to n. -254 Find the third derivative of 261*x + 571*x**2 + 894*x**2 - 510*x**2 + 629*x**5 - 259*x wrt x. 37740*x**2 Let f(s) = -1130*s - 211. Let i(y) = 1153*y + 210. Let h(k) = -5*f(k) - 4*i(k). Differentiate h(v) with respect to v. 1038 Let c(w) = -20*w**2 + w - 16. Suppose 1 + 3 = s. Let p(g) = s*g - g + 159 - 160 - 2*g. Let x(m) = -c(m) + p(m). What is the first derivative of x(n) wrt n? 40*n Suppose 59 = 43*v - 70. What is the second derivative of -1 + w - v*w**2 - 2*w**2 - 11*w**2 + w - 10*w wrt w? -32 Let l(k) be the second derivative of 0*k**4 + 16/21*k**7 + 0*k**2 + 0*k**6 + 0 + 3/2*k**3 + 0*k**5 + 67*k. Find the second derivative of l(u) wrt u. 640*u**3 Let p(q) be the third derivative of 0 + 0*q - 7/8*q**4 - 2*q**3 - 14*q**2. Differentiate p(m) with respect to m. -21 Let x(u) be the second derivative of -u**6/15 + 92*u**4/3 - 43*u**3/2 + u**2 - 15*u + 10. Find the second derivative of x(o) wrt o. -24*o**2 + 736 Let a be -3 - (-26 - 0/4). Find the third derivative of -40 + 40 - z**2 - a*z**2 - 63*z**5 - z wrt z. -3780*z**2 Let a(y) be the first derivative of -218 + 0*y + 115/3*y**3 + 0*y**2 - 197/4*y**4. Find the third derivative of a(u) wrt u. -1182 Let k(h) be the third derivative of 70*h**2 + 13/5*h**5 + 0 + 0*h**3 + 1/4*h**6 + 0*h + 0*h**4. What is the third derivative of k(u) wrt u? 180 Let c(d) be the third derivative of 145*d**5/6 + d**4/12 - 29*d**3/6 + 20*d**2 - 16*d. What is the second derivative of c(o) wrt o? 2900 Let v(z) be the second derivative of z**6/30 - 2247*z**5/10 - z**4/6 + 17*z**3/3 + 3*z**2 - 1426*z. What is the third derivative of v(r) wrt r? 24*r - 26964 Let t(k) be the first derivative of 1782*k**5/5 + 2*k**3/3 + 15*k**2/2 - 1708. What is the third derivative of t(r) wrt r? 42768*r Find the third derivative of -1287*m**5 - 1060*m**2 + 414*m**4 + 42*m**2 - 414*m**4 wrt m. -77220*m**2 Let m(v) be the third derivative of 39*v**5 - 1979*v**4/24 + 2528*v**2. What is the second derivative of m(j) wrt j? 4680 Let o be (-336)/(-54) - -3*2/(-27). Let m be -2 + o - 4/2. Differentiate -m*n + 17*n + 0*n - 6 + 0*n wrt n. 15 Let a be (-183 - 4)*(-2)/2. What is the first derivative of 12*k + 7*k + 3*k + 10*k + 19*k + a wrt k? 51 Let x(p) be the second derivative of 14*p**6/15 + 7*p**4/12 - p**3/2 + 255*p**2/2 + 40*p + 12. What is the second derivative of x(k) wrt k? 336*k**2 + 14 Find the second derivative of 741*w + 40*w**2 + 46*w**2 - 539*w**2 + 953*w wrt w. -906 What is the first derivative of 152*n + 99*n - 2*n**3 - 2390 + 1166*n**2 - 251*n wrt n? -6*n**2 + 2332*n Let u(c) be the second derivative of 0*c**3 + 120*c + 0*c**4 - 7/10*c**6 + 0*c**5 + 0 - 83*c**2. What is the derivative of u(h) wrt h? -84*h**3 Let s be 20/70*(3 + 4). Differentiate 51*w + 0*w**2 - 65 + w**2 + 0*w**s - 11 + 0*w with respect to w. 2*w + 51 Let w(r) = 18*r**2 - 3*r - 47. Suppose 2*j = 2*b, 0*b + 2*j + 5 = b. Let p(l) = -35*l**2 + 6*l + 93. Let g(k) = b*w(k) - 3*p(k). Differentiate g(y) wrt y. 30*y - 3 What is the second derivative of 31*i**4 + 259*i**4 + 720*i**4 + 704*i**4 - 406*i + 636*i wrt i? 20568*i**2 Let s(q) = -q**2 - 10*q - 23. Suppose -28 + 38 = -2*t. Let p be s(t). Find the second derivative of -176*k + 113*k + 111*k - 30*k**p wrt k. -60 Let o(h) be the first derivative of -421*h**6/6 - 38*h**2 + 1181. What is the second derivative of o(u) wrt u? -8420*u**3 What is the third derivative of -61*t**5 + 1904*t**2 + 695*t**2 + 1250*t**5 + 355*t**5 wrt t? 92640*t**2 Let p(l) = 30*l**2 + 5*l - 1. Let d be p(-2). Suppose 0*x + x = d. What is the second derivative of x*k**2 - 2*k - 12*k**4 - 109*k**2 - 2*k**4 wrt k? -168*k**2 Let u(r) be the first derivative of 532*r**5/5 - 10*r**3 - 2*r - 339. What is the third derivative of u(s) wrt s? 12768*s Let k be -1*((-4)/(-6) - 1729/(-21)). Let z = k + 93. Differentiate -z - 876*r**4 + 882*r**4 - 24 with respect to r. 24*r**3 Let y(u) = -4*u**3 + 80*u**2 + 3*u + 631. Let b(o) = o**3 - 77*o**2 - 3*o - 634. Let k(f) = -4*b(f) - 5*y(f). Find the second derivative of k(w) wrt w. 96*w - 184 Find the third derivative of 866*t**3 - 4426*t**3 - 9323*t + 9276*t + 27*t**2 wrt t. -21360 Let r be (-7 + 8)*(22/(-2) - -11). Let m(c) be the third derivative of 0*c**4 - 7/15*c**5 + 0*c - 1/3*c**3 - 21*c**2 + r. What is the derivative of m(i) wrt i? -56*i Let b be (-44)/6*(4/8 + -2). Suppose -4*q = -c + b, q + 65 = 5*c + 10. Find the second derivative of 1170 - 12*k**2 - 1170 + c*k wrt k. -24 Let v = 806 + -804. Find the third derivative of 30*c**v + 4980*c - 4982*c - 122*c**2 - 256*c**3 wrt c. -1536 Let y be (144/4)/(-3)*(-2)/4. Suppose 0 = -7*s + y*s + 5. Find the third derivative of -2*i**s + 470*i**3 - 470*i**3 + 2*i**2 + 14*i**5 wrt i. 720*i**2 What is the third derivative of -3487*d**2 + 10785*d**4 - 495*d**2 - 1995*d**2 - 5172*d**2 wrt d? 258840*d Let a(m) = m**3 + 4*m**2 - 5*m + 3. Let p be a(-5). What is
{ "pile_set_name": "DM Mathematics" }
2}. Give prob of sequence ggd. 1/660 Two letters picked without replacement from {p: 1, e: 2, w: 1, s: 1}. Give prob of sequence pw. 1/20 What is prob of sequence hccc when four letters picked without replacement from tcttqvcvqhcqhv? 1/2002 Calculate prob of sequence llll when four letters picked without replacement from llll. 1 Two letters picked without replacement from {g: 5, x: 5, l: 5, s: 2}. Give prob of sequence ls. 5/136 Four letters picked without replacement from {k: 9, j: 11}. What is prob of sequence jkkk? 77/1615 Two letters picked without replacement from wsuvgsa. Give prob of sequence uw. 1/42 Calculate prob of sequence tdc when three letters picked without replacement from {c: 1, x: 1, t: 1, j: 1, d: 3}. 1/70 What is prob of sequence lywr when four letters picked without replacement from fylwxylllrxwfxllywlf? 7/12920 Calculate prob of sequence zzw when three letters picked without replacement from {z: 4, w: 3}. 6/35 Two letters picked without replacement from {h: 3, m: 4, x: 2, q: 1}. What is prob of sequence xm? 4/45 Two letters picked without replacement from uurroaxbbxrruroubru. What is prob of sequence xu? 5/171 Three letters picked without replacement from ggg. What is prob of sequence ggg? 1 Calculate prob of sequence nppn when four letters picked without replacement from {n: 2, p: 4}. 1/15 Two letters picked without replacement from {a: 2, t: 1, f: 2, e: 1, n: 1}. Give prob of sequence fe. 1/21 Two letters picked without replacement from {e: 1, k: 19}. Give prob of sequence kk. 9/10 Four letters picked without replacement from {i: 7, m: 1, e: 2, t: 2}. What is prob of sequence itet? 7/2970 What is prob of sequence kck when three letters picked without replacement from kccckcccccckccckck? 65/1224 What is prob of sequence sm when two letters picked without replacement from {m: 2, a: 4, k: 1, s: 7}? 1/13 Calculate prob of sequence kt when two letters picked without replacement from tkttq. 3/20 Calculate prob of sequence ed when two letters picked without replacement from {d: 2, e: 1}. 1/3 Calculate prob of sequence ap when two letters picked without replacement from {k: 13, a: 3, x: 3, p: 1}. 3/380 Two letters picked without replacement from nnskkpppsjjpnspsn. Give prob of sequence js. 1/34 Calculate prob of sequence ho when two letters picked without replacement from {o: 1, x: 1, p: 2, h: 1, j: 1, n: 1}. 1/42 Four letters picked without replacement from fffiifjfiij. Give prob of sequence iiji. 1/165 Three letters picked without replacement from mmvmmmmvvvm. Give prob of sequence mvv. 14/165 Calculate prob of sequence fwf when three letters picked without replacement from fwffffff. 1/8 Four letters picked without replacement from {v: 2, u: 2, p: 1, l: 4}. What is prob of sequence vluv? 1/189 What is prob of sequence sq when two letters picked without replacement from {u: 3, s: 6, n: 2, q: 2, e: 4}? 3/68 Calculate prob of sequence kng when three letters picked without replacement from kungnuu. 1/105 What is prob of sequence wi when two letters picked without replacement from {i: 1, q: 2, v: 4, n: 3, t: 1, w: 7}? 7/306 Calculate prob of sequence cvj when three letters picked without replacement from jjvcdcdqcjc. 2/165 Calculate prob of sequence syst when four letters picked without replacement from ystsssmkyk. 1/210 Four letters picked without replacement from addaddddad. What is prob of sequence adad? 1/20 Two letters picked without replacement from euueuuuuuuuuuuuuueeu. Give prob of sequence ue. 16/95 Four letters picked without replacement from ssssssssss. What is prob of sequence ssss? 1 Three letters picked without replacement from {v: 1, h: 2, p: 1, r: 5, w: 1}. Give prob of sequence vhh. 1/360 Three letters picked without replacement from {v: 1, p: 2, x: 2}. What is prob of sequence xxv? 1/30 Two letters picked without replacement from nnnnnnnnnn. Give prob of sequence nn. 1 Two letters picked without replacement from {t: 1, a: 1, n: 2, x: 3}. Give prob of sequence xn. 1/7 Three letters picked without replacement from {d: 8, r: 8, u: 4}. What is prob of sequence udu? 4/285 Four letters picked without replacement from tkhthhxhhthx. Give prob of sequence txkx. 1/1980 Two letters picked without replacement from affexxxlpffaaxafx. What is prob of sequence fx? 25/272 Three letters picked without replacement from bobbo. Give prob of sequence obo. 1/10 Calculate prob of sequence xsus when four letters picked without replacement from {u: 1, s: 14, x: 2}. 13/2040 Two letters picked without replacement from {d: 1, a: 1, r: 7, f: 2, y: 1, z: 8}. What is prob of sequence dy? 1/380 Two letters picked without replacement from {t: 1, w: 5, l: 4, v: 1, s: 4, j: 3}. What is prob of sequence tw? 5/306 Calculate prob of sequence la when two letters picked without replacement from aalaaalaaaaa. 5/33 Three letters picked without replacement from wtwiitwwtiwwtiiiwwit. Give prob of sequence itw. 7/171 Three letters picked without replacement from bvvbybbyh. What is prob of sequence hvv? 1/252 Two letters picked without replacement from fqkiu. Give prob of sequence uk. 1/20 What is prob of sequence mmm when three letters picked without replacement from {m: 10}? 1 Calculate prob of sequence lr when two letters picked without replacement from {l: 3, t: 3, r: 10, e: 3}. 5/57 Four letters picked without replacement from jjqjjjjjjjjj. What is prob of sequence jjqj? 1/12 Calculate prob of sequence kr when two letters picked without replacement from rkirxxs. 1/21 What is prob of sequence rr when two letters picked without replacement from {r: 2, m: 4}? 1/15 Calculate prob of sequence ec when two letters picked without replacement from {g: 1, s: 2, z: 1, e: 4, w: 6, c: 1}. 2/105 Calculate prob of sequence mx when two letters picked without replacement from xmxm. 1/3 What is prob of sequence bt when two letters picked without replacement from btbd? 1/6 What is prob of sequence cyit when four letters picked without replacement from {t: 1, y: 5, c: 1, i: 3}? 1/336 Three letters picked without replacement from {h: 4, z: 1, r: 2, j: 7, d: 2}. Give prob of sequence hjr. 1/60 What is prob of sequence gqg when three letters picked without replacement from {g: 13, q: 6}? 52/323 Three letters picked without replacement from {y: 2, z: 1, m: 4, x: 4}. Give prob of sequence xyx. 4/165 Three letters picked without replacement from {r: 2, w: 4, j: 3, z: 1, n: 1, d: 4}. What is prob of sequence wrw? 4/455 Calculate prob of sequence alco when four letters picked without replacement from {l: 3, c: 2, a: 5, o: 3}. 3/572 Calculate prob of sequence akkk when four letters picked without replacement from kaakazkzhhkaahaazaaa. 2/969 Calculate prob of sequence kk when two letters picked without replacement from vkkvvvvkvvv. 3/55 Four letters picked without replacement from {d: 6, a: 12}. What is prob of sequence ddaa? 11/204 Calculate prob of sequence mx when two letters picked without replacement from msfsmsasayaysxs. 1/105 Two letters picked without replacement from bicinqniblic. What is prob of sequence qb? 1/66 Two letters picked without replacement from {z: 1, j: 3, d: 5, c: 1, x: 1}. What is prob of sequence cj? 3/110 Calculate prob of sequence jllw when four letters picked without replacement from {f: 2, l: 5, e: 2, o: 2, w: 2, j: 1}. 5/3003 Two letters picked without replacement from {w: 9, r: 4, t: 1}. What is prob of sequence rt? 2/91 What is prob of sequence rr when two letters picked without replacement from {n: 1, s: 1, k: 1, r: 2, q: 1, l: 1}? 1/21 What is prob of sequence oobl when four letters picked without replacement from obolb? 1/30 Two letters picked without replacement from {j: 1, e: 2, n: 1, w: 1}. Give prob of sequence je. 1/10 Two letters picked without replacement from bbbllbllalllbb. Give prob of sequence la. 1/26 Three letters picked without replacement from {q: 1, o: 2, v: 1, w: 1}. Give prob of sequence owv. 1/30 Calculate prob of sequence tydy when four letters picked without replacement from tddtydtdtyttt. 7/2145 Two letters picked without replacement from {z: 7, l: 4, p: 4, h: 1, d: 1}. What is prob of sequence hl? 1/68 Two letters picked without replacement from oooommamkaowggowgo. What is prob of sequence oo? 7/51 Four letters picked w
{ "pile_set_name": "DM Mathematics" }
80)/(-672) + (-6)/14). What is a*s(m) + y*g(m)? -3*m**2 + 1 Let s(f) = -279*f. Let w(a) be the third derivative of -5*a**4/3 + 2*a**2 + 10819*a. Determine -4*s(t) + 27*w(t). 36*t Let d(h) = -h**2 + 2*h + 4. Let s(o) be the second derivative of o**4/6 - 2*o**3/3 - 7*o**2/2 + 6*o + 331. What is -5*d(v) - 2*s(v)? v**2 - 2*v - 6 Let p(g) = -1132*g + 3. Let u(z) = -1032*z + 2. Calculate -4*p(o) + 5*u(o). -632*o - 2 Let c(k) be the first derivative of -k**3/3 + k**2 - 2*k - 30. Suppose 9*v - 6*v = 33. Let s(u) = 6*u**2 - 11*u + 9. Calculate v*c(m) + 2*s(m). m**2 - 4 Let u(j) = -j**3 + j**2. Let k = 10 - 6. Let n(f) = -3*f**2 + 4206 + 5*f**3 - 4206. Determine k*u(w) + n(w). w**3 + w**2 Let i(k) = -58*k**3 + 5*k. Suppose 2*w = 5*h + 17, 3*w - 354 = -366. Let g(p) = -87*p**3 + 7*p. Determine h*g(m) + 7*i(m). 29*m**3 Let j(n) = 11961*n. Let c(f) = 107640*f. Calculate 6*c(q) - 55*j(q). -12015*q Let p(s) = s + 11. Let c(r) = -2*r - 40. Let z(v) = v + 17. Let o(q) = 3*c(q) + 7*z(q). Determine 2*o(a) - p(a). a - 13 Let u(f) = 5*f**2 + 13*f - 57. Let i(w) = -3*w**2 - 7*w + 32. Let r(v) = -9*i(v) - 5*u(v). Let n(m) = m**2 + m + 1. Determine -4*n(a) - 2*r(a). -8*a**2 + 2 Let m(n) = -6*n**3 + 215*n. Let u(q) = -5*q**3 + 213*q. Determine -3*m(j) + 4*u(j). -2*j**3 + 207*j Let z(w) = w**2 + 5. Let q(j) = -2*j**2 - 8. Suppose 3*n = 3*v, 5*n = 3*v - 2*v + 12. Suppose 0 = -n*r - 21*r - 120. Determine r*q(a) - 8*z(a). 2*a**2 Let k(d) = -2*d - 7. Let z(o) = 1. Let c be 19/57 - (-64)/6. Suppose 0 = c*p - 13*p - 2. What is p*k(t) - 4*z(t)? 2*t + 3 Let l = 38491 - 38502. Let a(o) = o**2 - 3*o - 1. Let k(u) = -5*u**2 + 15*u + 4. Calculate l*a(c) - 2*k(c). -c**2 + 3*c + 3 Let c(n) = n**3 + n**2 + 1. Let k(z) = -z**3 - 24*z**2 + 3. Determine 3*c(q) - k(q). 4*q**3 + 27*q**2 Let w(b) = -53*b - 63. Let r(p) = -55*p - 65. What is 6*r(i) - 7*w(i)? 41*i + 51 Let n(a) = 8*a - 80. Suppose 5*z = -160*k + 158*k - 52, 43 = -5*k + 2*z. Let v(t) = -3*t + 27. Give k*v(y) - 4*n(y). y + 23 Let g(x) = 3875*x - 11. Let n(i) = -14*i + 2. What is -g(s) - 5*n(s)? -3805*s + 1 Let h(t) = 6529*t**2 + t - 6. Let q(d) = 6531*d**2 + d - 5. What is 4*h(n) - 5*q(n)? -6539*n**2 - n + 1 Let n(f) = 3*f - 1. Let t(s) be the first derivative of 4*s**2 - 2*s - 1. Suppose 705*c + 106*c = 3244. Give c*t(a) - 11*n(a). -a + 3 Let b(q) = 250750*q**2 - 225*q + 75. Let l(n) = 6777*n**2 - 6*n + 2. Determine 2*b(c) - 75*l(c). -6775*c**2 Let b(i) = -19*i - 16. Suppose 7*g + 28 = -7. Let z(w) = -15*w - 16. Let l(j) = g*z(j) + 4*b(j). Let c(u) = u - 11. Determine 7*c(y) + 5*l(y). 2*y + 3 Suppose 62 - 194 = -11*s. Let k(w) = 18*w + 2. Let n(b) = -b. Let j = 72 - 71. Give j*k(h) + s*n(h). 6*h + 2 Let d(w) = 6*w**2 + 770*w - 524. Let m be d(-129). Let x(y) = -22*y - 3 + 0*y**2 + 6*y**2 - 5. Let r(a) = 2*a**2 - 7*a - 3. Calculate m*r(f) + 3*x(f). 2*f**2 - 10*f Let w(r) be the third derivative of -9*r**4/8 + 2*r**3/3 + 7843*r**2. Let a(z) = 135*z - 21. Give 4*a(d) + 21*w(d). -27*d Let q(j) = 2*j + 2*j**2 - 3*j**2 - j**2 - 4 + 2*j. Let g(l) = -25 - 151 + l + 175. Calculate 5*g(b) - q(b). 2*b**2 + b - 1 Let l(u) = -u**2 - u + 1. Let s(x) = 7*x**2 - 4*x + 2. Let k = -441 - -308. Let c be (2/(-10))/(k/(-665)). Calculate c*s(r) + 2*l(r). -9*r**2 + 2*r Let u(d) = -17*d**2 - 20*d - 2. Let h(r) = 6*r**2 + 7*r + 1. Let v = 966 + -926. Suppose -x + v = 4*x + 5*p, 0 = 3*x - 3*p. Give x*u(w) + 11*h(w). -2*w**2 - 3*w + 3 Let k(x) = -5*x**2 + 60*x - 9. Let j(m) = -4*m**2 + 45*m - 7. Let l(q) = -4*j(q) + 3*k(q). Let y(g) = 21*g**2 - 3. Give 3*l(n) + y(n). 24*n**2 Let n(a) = a**2 + a - 1. Let w = -1170 - -1148. Let o(p) = -12*p**2 - 10*p + 11. What is w*n(m) - 2*o(m)? 2*m**2 - 2*m Let i(c) = -3*c**2 + 7*c + 7. Let j(v) = 3*v**2 - 6*v - 6. Let b be ((-91)/(-819) - (-406)/72) + 2/8. What is b*i(p) + 7*j(p)? 3*p**2 Let c(d) = 10*d**2 + d - 4. Let z(s) = s**2 - s + 10. Let u(v) = -4*v**2 - 5. Let l(q) = -3*u(q) - 2*z(q). Give -4*c(p) + 3*l(p). -10*p**2 + 2*p + 1 Let w(n) = -2*n + 5. Let l be -4 + (-3)/((-12)/20). Let t be l + 2 + (2 - 9) + 13. Let d(f) = 4*f - 11. Give t*w(k) + 4*d(k). -2*k + 1 Let m(i) = 16*i + 7*i - 34*i + 11 + 9*i. Let v(j) = 2*j - 11. Give -5*m(b) - 4*v(b). 2*b - 11 Let b(x) = 3033*x**2 - 6*x - 1551*x**2 - 1488*x**2 + 4*x - 2. Let n(z) = z**3 + 13*z**2 + 4*z + 5. Let i be (0 + (-1)/(-2))*4. Give i*n(r) + 5*b(r). 2*r**3 - 4*r**2 - 2*r Let q(d) = -6*d**2 + 1161*d - 10. Let s(r) = 9*r**2 - 1742*r + 16. Give 8*q(b) + 5*s(b). -3*b**2 + 578*b Let n(g) = 23*g**2 - 31*g**2 + 3 + 3*g + 14*g**2. Let r(t) = 7*t**2 + 4*t + 4. Let y be (3/2)/(2/(-20)). Let z = -19 - y. Give z*n(k) + 3*r(k). -3*k**2 Let s(t) = -t. Let k(i) = -i**2 - 4*i - 4. Let r(o) = k(o) - 5*s(o). Let z(l) = -33 + 64 - 29. What is 2*r(f) + 5*z(f)? -2*f**2 + 2*f + 2 Let w(g) = -10*g**3 + 34*g**2 + 10*g + 20. Let y(x) = -2*x**3 + 7*x**2 + 2*x + 4. What is -3*w(t) + 14*y(t)? 2*t**3 - 4*t**2 - 2*t - 4 Let v be -13 - (-8 + (6 - 7)). Let y(x) = -5*x - 2. Let h(b) = -6*b - 2. Let l(c) = -5*c**3 - 2*c**2 - 2*c. Let r be l(-1). Give r*y(p) + v*h(p). -p - 2 Let k(z) be the second derivative of -z**5/20 + 13*z**3/3 + 3*z - 1663. Let t(r) = r**3 - 13*r. What is 4*k(x) + 7*t(x)? 3*x**3 + 13*x Let m(k) = -3*k - k - k + 1 + 8*k. Let f(t) = 10*t + 10. Let c(q) = 38*q + 23 - 8*q + 5. Let l(o) = 4*c(o) - 11*f(o). Give -2*l(a) + 7*m(a). a + 3 Let k(p) = 4*p**2 + 3*p - 2. Let w = 1382 + -1391. Let c(l) = -2*l**2 - 2*l + 1. Calculate w*c(b) - 4*k(b). 2*b**2 + 6*b - 1 Let o(g) = -15*g**3 + 4*g - 9. Suppose 3*q + 16 - 1 = 0, 2*h + 3*q + 25 = 0. Let y(r) = 8*r**3 - 2*r + 4. Determine h*y(p) - 2*o(p). -10*p**3 + 2*p - 2 Let n(z) = -z**2 - 1034*z + 2. Let m(u) = -4*u**2 - 4133*u + 9. What is 2*m(x) - 9*n(x)? x**2 + 1040*x Let m(v) = 8171*v**2 - 8*v + 104. Let b(i) = 16342*i**2 - 18*i + 234. Determine -4*b(p) + 9*m(p). 8171*p**2 Let w(k) be the second derivative of k**4/2 + 5*k**2 - 2*k. Let f be ((-1920)/(-1080))/((-1)/(-9)). Let p(l) = l**2 + 2. What is f*p(x) - 3*w(x)? -2*x**2 + 2 Let f(y) = 322*y + 1. Let n(j) = 481*j + 1. Determine -7*f(d) + 5*n(d). 151*d - 2 Let u(s) = 41*s**2 + 46*s + 9. Let t(c) = 51*c**2 + 46*c + 9. Give -4*t(m) + 5*u(m). m**2 + 46*m + 9 Let q(a) = 767*a - 22. Let m(z) = 2*z + 3. Give 14*m(t) + 2*q(t). 1562*t - 2 Suppose 14*k - 31 + 3 = 0. Let g(l) = -133540 - l**k + 133540. Let j(z) = -5*z**2 + 2*z. Give 2*g(t) - j(t). 3*t**2 - 2*t Let v(o) = 9*o**3 + 17*o**2 - 9*o - 249. Let s(b) = 4*b**3 + 8*b**2 - 4*b - 125. Give -13*s(f) + 6*v(f). 2*f**3 - 2*f**2 - 2*f + 131 Let v(b) = -7*b - 475. Let h(x) = 15*x + 954. Give -2*h(i) - 5*v(i). 5*i + 467 Suppose -2*f - 117 = -6*u + 9*u, -f + 24 = -u. Let t(w) = 2*w - 3. Let b(r) = -3*r + 4. Let s(l) = -3*b(l) - 4*t(l). Let m(g) = 6*g. Calculate u*s(h) + 6*m(h). 3*h Let a(k) = k**3 + 4*k**2 - 13*k - 8. Let c be a(-6). Let x(d) = d + 2. Let g be (40/25)/(8/20). Let p(s) = -s - g*s - 2 + 4*s + 0. Give c*p(z) - 3*x(z). -z - 2 Let f = 18 + -27. Let s(i) = -30972*i**2 - 13*i + 30981*i**2 + 4*i + 9 + 10*i**3. Let r(y) = 5*y**3 + 4*y**2 - 4*y + 4. What is f*r(m) + 4*s(m)? -5*m**3 Let i(a) = 15*a**3 + a - 1. Let x(n) = 997191*n + n**3 - 997191*n. Calculate i(w) - 5*x(w). 10*w**3 + w - 1 Let c(b) be the third derivative of -b**6/24 - 17*b**4/24 + 3*b**3/2 + 90*b**2 + 5. Let w(o) = 3*o**3 + 9*o - 5. What is -4*c(q) - 7*w(q)? -q**3 + 5*q - 1 Let m be (1 + 0)*(4 + -3). Suppose 0 = -22*z - 15 + 37. Let i(o) = 3*o**2 - o + 1. Let b(d) = d**3 - d**2 - d - 1. Determine m*i(p) + z*b(p). p**3 + 2*p**2 - 2*p Let w(s) = -7*s**3 - 6*s**2 - 6. Let v = 118 - 117. Let c be 7/(-2 - (-3)/v). Let m(x) = 7*x**3 + 7*x**2 + 7. What is c*w(a) + 6*m(a)? -7*a**3 Let o(q) = q**3 - q**2 + q + 1. Let g = -10599 + 10584. Let s(a) = -36*a**3 + 15*a**2 - 15*a - 15. Determine g*o(f) - s(f). 21*f**3 Let i(f) = -2*f - 15. Let q(y) = 76*y + 2. Let p(m) = 215*m + 3. Let o(j) = -6*p(j) + 17*q(j). Calculate 2*i(s) + 3*o(s). 2*s + 18 Let i(v) = -6*v**2 - 198*v + 26. Let k(m) = 16*m**2 + 396*m - 49. What is 5*i(l) + 2*k(l)? 2*l**2 - 198*l + 32 Let h(s) = -2*s + 11. Let x(f) = -33*f - 5. Let m(q) = -13*q - 3. Let b(l) = -5*m(l) + 2*x(l). Calculate -7*b(g) + 3*h(g). g - 2 Let w(f) = -21*f - 2694. Let p(i) = 3*i + 390. Calculate 27*p(y) + 4*w(y). -3*y - 246 Let i(z) = -5*z**3 + 7
{ "pile_set_name": "DM Mathematics" }
k**2 + k + 2. Calculate i*f(n) + 4*x(n). 2*n**3 + n + 2 Let u(d) = -6*d**2 + 7*d + 7. Suppose -2 = t + 11. Let b(m) = 11*m**2 - 12. Let q(g) = -23*g**2 - g + 25. Let n(r) = t*b(r) - 6*q(r). Calculate 7*n(h) - 6*u(h). h**2 Let h(d) = -2*d + 1. Let n(t) = 5*t - 2. Determine 7*h(v) + 3*n(v). v + 1 Let h(r) = 6*r**2 + r - 2. Let p(t) = -13*t**2 - 2*t + 4. Determine 5*h(k) + 2*p(k). 4*k**2 + k - 2 Let b(i) = -15*i + 21. Let z(c) = 8*c - 11. Determine 5*b(u) + 9*z(u). -3*u + 6 Let f(q) = 15*q**2 - 63*q + 27. Let k(u) = -2*u**2 + 9*u - 4. Determine 4*f(x) + 27*k(x). 6*x**2 - 9*x Let v(p) = -7*p**3 + 13*p**2 - 9*p - 11. Let r(s) = -4*s**3 + 7*s**2 - 5*s - 6. Calculate 11*r(w) - 6*v(w). -2*w**3 - w**2 - w Suppose -4*p + 3*p = -3. Let q(w) = 2*w + 4. Let r(x) = -4*x - 7. Calculate p*r(l) + 5*q(l). -2*l - 1 Let f(c) be the second derivative of 3*c**2 + 0 + c**3 - 7/12*c**4 + 2*c. Let u(j) = 20*j**2 - 17*j - 17. What is 17*f(i) + 6*u(i)? i**2 Let k(f) = 3*f**3 - 3*f. Let g(u) = 2*u**3 + u**2 - 4*u. Determine 3*g(w) - 4*k(w). -6*w**3 + 3*w**2 Let j(x) = 6*x**3 - 7*x**2 - 7*x - 7. Let o(v) be the first derivative of v**4/4 - v**3/3 - v**2/2 - v - 2. Determine 2*j(t) - 14*o(t). -2*t**3 Let a(k) = -k. Let q(n) = 16*n + 2. Let h(s) = -3*s. Let y be h(-4). What is y*a(b) + q(b)? 4*b + 2 Let c(n) = -n + 7 + 8*n**2 + 2*n + 7*n. Let q(i) = 7*i**2 + 7*i + 6. Suppose 2*u - j + 17 = 0, 3*j + 8 = -2*u + j. Calculate u*q(t) + 6*c(t). -t**2 - t Let d(r) = -13*r**2 + 3*r. Let c(b) = -12*b**2 + 2*b. Calculate 3*c(p) - 2*d(p). -10*p**2 Let y(i) be the third derivative of i**6/120 + i**5/60 - i**4/24 + i**3/6 - 24*i**2. Let x(r) = -r**2 + r - 1. Determine -x(n) - y(n). -n**3 Let m(l) = -4*l**3 - 6. Suppose 6*z - z = 0, -3 = -b + z. Let h(d) = d**b - 4*d**3 + 5 + 6*d**3. Determine 6*h(k) + 5*m(k). -2*k**3 Let c(h) = -8*h**3 + 7*h**2 + 2. Let l(u) = 9*u**3 - 8*u**2 - 3. What is -6*c(i) - 5*l(i)? 3*i**3 - 2*i**2 + 3 Let o = 9 + -6. Let n(x) = -4*x - x**o + 2*x + 2 + 1. Let m(y) = 5*y**3 + y**2 + 11*y - 16. Let p be (-4)/6*(-4 - -1). Determine p*m(j) + 11*n(j). -j**3 + 2*j**2 + 1 Let u(w) = -10*w**3 + 4*w**2 + w + 4. Let y(r) = -19*r**3 + 7*r**2 + 2*r + 7. Let m = -153 - -160. Give m*u(b) - 4*y(b). 6*b**3 - b Let k(u) = 3*u + 6. Suppose 0 = -p + 4*p - 12. Let b(a) = 1 + 6*a - 4*a + 0*a + p. Give 4*b(f) - 3*k(f). -f + 2 Let g(l) = 3*l + 2. Let x(s) = -6*s + 8*s + 4 - 1. What is 4*g(f) - 3*x(f)? 6*f - 1 Let t(v) = -2*v**3 - 4*v**2 + 5. Let a(x) = -x**2 - 1. Determine 4*a(s) + t(s). -2*s**3 - 8*s**2 + 1 Let n(t) = t - 1. Let b(u) = 5*u - 4. Let z(k) = -2*k. Let a(i) = b(i) - z(i). Give -a(p) + 4*n(p). -3*p Let a(y) = 2*y**2 + 5*y. Let l(r) = 2*r**2 - 6*r + 12. Let u(p) = -p + 1. Let m(z) = -l(z) + 12*u(z). Give -6*a(n) - 5*m(n). -2*n**2 Let d(p) = p + 1. Let y(i) = -i - 1. Let z(s) = -d(s) - 2*y(s). Let n(m) = -1. What is -n(h) - z(h)? -h Let x be (-10)/(-4)*(1 - -1). Let z(m) = 6*m - 4 - m**2 + 0 - x*m**2. Let y(s) = 7*s**2 - 7*s + 5. Let u(p) = -4*p + 70. Let r be u(16). Give r*z(o) + 5*y(o). -o**2 + o + 1 Let s(w) = -5*w**2 - 5*w - 4. Let a(z) = 16*z**2 + 14*z + 11. What is 4*a(g) + 11*s(g)? 9*g**2 + g Let a(o) = -1. Let u(p) be the second derivative of -p**3/3 - 2*p**2 - 17*p. Determine 6*a(q) - u(q). 2*q - 2 Let c(f) = 5*f**3 - 6*f**2 - 2. Let p = 38 + -21. Let s(g) = 14*g**3 - 17*g**2 - 6. Determine p*c(o) - 6*s(o). o**3 + 2 Let o(w) = w + 7. Let c be o(-7). Let y(u) = 0*u**2 - 3*u - 5 + 5*u + c*u + 3*u**2. Let i(r) = r**2 + r - 1. Give -4*i(h) + y(h). -h**2 - 2*h - 1 Let g be (-1)/((-8)/10 + 18/60). Let v(a) = -5*a. Let k(l) = l. Determine g*v(u) + 6*k(u). -4*u Let f(w) = 3*w - 9. Let a(n) = 2*n - 10. What is 4*a(r) - 5*f(r)? -7*r + 5 Let q(w) = w**2 + 3*w - 2. Suppose 3*x - x = 8. Let u(h) = -h**2 - 9 + 6*h**2 + 61*h + 0 - 48*h. What is x*u(z) - 18*q(z)? 2*z**2 - 2*z Let p(q) = 6*q**3 - 3*q**2 + 3*q. Let y(h) = -54*h**3 + 26*h**2 - 26*h. Calculate 52*p(t) + 6*y(t). -12*t**3 Let o(g) = -10*g - 11. Let w(y) = -2*y - 2. Determine -2*o(x) + 11*w(x). -2*x Let b(f) = -5*f + 1. Let h(s) = 6*s. Give 7*b(i) + 6*h(i). i + 7 Let k(n) = 6*n - 8. Suppose 5*x + 3 = -2*i, 3*x - 4*i - 20 = -x. Let o(r) = r - 1. What is x*k(u) - 5*o(u)? u - 3 Let f(r) = 5*r - 2. Let y(z) = -26*z + 10. Calculate 16*f(n) + 3*y(n). 2*n - 2 Let m(h) = -3*h + 1. Let n(s) = -7*s + 2. Let q be (2 - 2)*(-1)/2. Suppose -18*d - 3 = -19*d. Let x be (q + -3 - -2) + d. Give x*n(f) - 5*m(f). f - 1 Let q(c) = 6*c + 5. Let j(i) = 6*i + 16 - 1 + 11*i - 1. Determine -4*j(g) + 11*q(g). -2*g - 1 Let z = 0 + 0. Let t = -4 + z. Let q(g) = -g**2 + g. Let k(n) = -5*n. Let p(o) = k(o) + q(o). Let m(y) = y**2 + 3*y. Determine t*m(u) - 3*p(u). -u**2 Let l(n) = -7*n**2 - 2*n - 6. Suppose 5*h - j + 0*j = -163, 5*j = 15. Let p = h - -45. Let r(b) = 10 + 3 + 4*b + 15*b**2 + 0*b. Determine p*l(k) + 6*r(k). -k**2 - 2*k Let u(f) = 15*f + 4. Let m(s) = s. What is -4*m(o) + u(o)? 11*o + 4 Let w(x) = -33*x**2 - 3*x - 3. Let a(h) = -364*h**2 - 32*h - 32. What is 3*a(n) - 32*w(n)? -36*n**2 Let n = 5 - -6. Let l(p) = p**2 + 2*p. Suppose 0 = -3*i + 2*i + 3. Suppose 0 = i*z + 3 + 3. Let j(y) = y**3 + 5*y**2 + 11*y. Determine n*l(g) + z*j(g). -2*g**3 + g**2 Let d(k) be the third derivative of -1/6*k**4 + 0*k + 1/20*k**6 + 1/60*k**5 + 5*k**2 - k**3 + 0. Let b(g) = g**3 - g - 1. Determine 4*b(l) - d(l). -2*l**3 - l**2 + 2 Let b(i) be the second derivative of -i**4/4 - i**3/3 - i**2 - 10*i. Let s(r) = -3*r**2 - 3*r - 3. Determine -3*b(h) + 2*s(h). 3*h**2 Let x(a) be the first derivative of a**2 + 2*a + 34. Let r(j) = j + 1. What is 5*r(l) - 2*x(l)? l + 1 Let n(i) = -7*i**2 + 3*i + 4. Let t(h) = 22*h**2 - 9*h - 11. Determine 11*n(y) + 4*t(y). 11*y**2 - 3*y Let x(a) = -15*a**2 - a. Let n(q) = -30*q**2 - 3*q. Give -2*n(b) + 5*x(b). -15*b**2 + b Let y(a) = -9*a**2 + a. Let r(c) be the third derivative of -2*c**5/15 + c**4/24 + 104*c**2. Suppose -30 = 2*l + 3*l. What is l*y(m) + 7*r(m)? -2*m**2 + m Let v(z) = 19*z**2 + 15*z - 9. Let x(r) = -9*r**2 - 7*r + 4. Give 6*v(b) + 13*x(b). -3*b**2 - b - 2 Let q(u) = -5*u**3 - 6*u**2 + 7*u + 3. Let s(i) = 4*i**3 + 5*i**2 - 6*i - 2. What is -5*q(h) - 6*s(h)? h**3 + h - 3 Let j(r) = -2*r + 3*r - 2*r + 2*r. Suppose q + 4*q = 10. Let x(z) = 3*z + 1. Let v(t) = -2*t - 1. Let l(u) = -7*v(u) - 6*x(u). What is q*l(a) + 7*j(a)? -a + 2 Let r(w) = 4*w**3 + 4*w - 2. Let a(d) = 3*d**3 + 5*d - 2. What is 4*a(j) - 5*r(j)? -8*j**3 + 2 Let k(y) = -3*y**2 - 11*y + 4. Let x(d) = -d**2 - 4*d + 1. Determine 4*k(w) - 11*x(w). -w**2 + 5 Let f(c) = 11*c**3 - 5*c. Let r(h) = -h**3 + h. Calculate f(v) + 4*r(v). 7*v**3 - v Suppose -2*a + 5*a = -3. Let w be ((-3)/(-3))/(a - 0). Suppose 5*z - 4 = -14. Let q(g) = -g. Let x(f) = 4*f - 1. Calculate w*x(u) + z*q(u). -2*u + 1 Let g(l) = -3*l**3 - 5*l**2 - l + 5. Let z(w) = -3*w**3 - 2*w. Let y(v) = -7*v**3 + v**2 - 5*v - 1. Let n(o) = -2*y(o) + 5*z(o). What is -2*g(i) + 5*n(i)? i**3 + 2*i Suppose g - 11 = -1. Let s(j) = 10 - g + j. Let f(c) = -2*c - 1. Calculate 2*f(m) + 3*s(m). -m - 2 Let x(y) be the second derivative of -y**3/2 + y**2/2 + 3*y. Let f(s) = -2*s + 1. Calculate 5*f(b) - 3*x(b). -b + 2 Let v(h) = -4*h + 6. Let d be -15*(1 + 12/(-20)). Let g(p) = -9*p + 13. What is d*g(b) + 13*v(b)? 2*b Let s(q) = 5*q**2 + 4. Let h(w) = 14*w**2 + 11. Let l(z) = 4*h(z) - 11*s(z). Suppose f = 2*i - 5, 4 = i + f - 2*f. Let d(t) = -3*t**2 - t. Give i*l(p) + d(p). -2*p**2 - p Let r(s) = -s**2 + s - 1. Let w(u) = -7*u**2 + 4*u - 3. Determine -3*r(i) + w(i). -4*i**2 + i Let t(f) = -f. Let i(y) = -8. Let d(j) = -j + 10. Let q(r) = 4*d(r) + 5*i(r). Give 4*q(x) - 18*t(x). 2*x Let i(o) = -8*o**3 - 6*o**2 + 6*o - 6. Suppose 2*b - 5 = -3. Let a(t) = t**3 + t**2 - t + 1. Calculate b*i(p) + 6*a(p). -2*p**3 Let i(h) = -h + 2. Let u(v) = -2*v + 5. Let p(z) = 15*z**3 - 2*z**2 + 1. Let g be ((-5)/(-10))/(1/2). Let y be p(g). Determine y*i(f) - 6*u(f). -2*f - 2 Let t(x) be the third derivative of -x**4/12 - x**3 - 2*x**2. Let i = -2 - -6. Let n(y) = -i + 0*y - 1 - y. Calculate -4*n(u) + 3*t(u). -2*u + 2 Let x(s) = -9*s**2 + 2*s - 2. Let t(o) = -10*o**2 + 2*o - 2. Give 6*t(r) - 7*x(r). 3*r**2 - 2*r + 2 Let x(j) = 22*j - 72. Let c(d) = -7*d + 24. Give 16*c(s) + 5*x(s). -2*s + 24 Let c(n) be the first derivative of -6 -
{ "pile_set_name": "DM Mathematics" }
*i = -2 + 26, i + c = 0 for p. -3 Suppose -p = 3*q - 67 - 38, q = -3. Let r = 117 - p. Solve -y - f + r = 0, 0 = -0*y - 3*y + 2*f - 6 for y. 0 Let z(q) = 2*q**2 + 12*q + 4. Let y be z(-4). Let h be (-7 - y) + (0 - 1). Solve f - 24 = -5*a, h*a = 2*f + 16 + 6 for f. -1 Let b = 146 - 142. Let m be 1/((-3 - 1)/(-8)). Let y be ((-3)/9)/(m/(-36)). Solve -5*l - 35 = b*i, l = -2*i + y*l + 5 for i. -5 Suppose -47517*x = -47474*x. Solve -b - 5 = -5*i, x = 4*i + b - 4*b - 4 for i. 1 Let d(l) = 2*l**2 + 57*l + 396. Let f be d(-17). Solve -m + 4 = 2*x, 3*x + 12 = f*x - 3*m for x. 3 Suppose h + 17 = 33. Let b be 21/(-168) - (-290)/h. Solve -b = -i - 0*n - 4*n, -14 = 3*i - 5*n for i. 2 Suppose -18*z = 27595 - 27667. Solve -3*b = -z*g - 11, 4 = -80*g + 84*g for b. 5 Let z = -841 - -847. Solve 0 = 4*o + 3*m + z, -3*m + 5*m + 4 = 4*o for o. 0 Let u(b) be the second derivative of b**4/12 - 31*b**2/2 + 6*b - 1. Let z be u(6). Solve 5*q + j + z = 0, 2*q - j = 3*q + 1 for q. -1 Let j = 25 + -25. Suppose l + 25 = 5*z, -5*l = -j*l - z + 5. Suppose -24 = -l*r - r. Solve -4*p = -v - 18, 2*v + 6*p - r = 2*p for v. 2 Let p = 17010 - 16997. Solve -4*o - a + 21 = 0, 20*o - p = 18*o - a for o. 4 Let t(c) = 18*c + 383. Let p be t(-21). Solve 0 = p*d - 8*g + 6*g - 9, 9 = 2*d + g for d. 3 Let t(m) = 3*m**2 + m - 33. Let r be t(4). Solve 3*x = -4*f + 16, -29*f + 28*f = -5*x + r for x. 4 Let s = -13593 + 13597. Solve 0 = 3*m + 4*w + 53 - 61, -6 = s*m + 2*w for m. -4 Let q be -3 + (-9 - 12/(-2)). Let t be 10 + q + (2/2 - 1). Solve 0 = l - 4*d - t, -2*d - 2 = -2*l - 0 for l. 0 Let u = -25 - -20. Let b be 0 + u*(-3 + 2). Solve -3*r = z + 12, -3*r - b*z - 23 = 1 for r. -3 Let p be ((-63)/(-35) - 1) + 71/5. Suppose 62*g = 67*g - p. Let s be -6 + 6 - (2 - g)*2. Solve 4*v + s = 4*n + 14, -v - 9 = 3*n for v. 0 Let v(x) = -x**3 - 22*x**2 - 46*x - 116. Let y be v(-20). Solve -15*b + 14*b + 3*p + 9 = 0, 5*b - y*p - 23 = 0 for b. 3 Suppose -4*o = 9*q - 16*q + 41, -3*q = -2*o - 19. Solve -4*s + s - 3*b + 6 = 0, -s - q = -4*b for s. 1 Let d(w) = w**3 + 3*w**2 + w + 9. Let y be d(-3). Let h = 136 - 132. Let f be 1 + (h/(-8))/(1/(-6)). Solve -2*b + y = 2*u, -f*b = -u - 11 - 1 for u. 0 Suppose -44*t + 188 = -4*t + 7*t. Solve 6 = -2*a + c, 0 = t*a + 3*c - 7*c + 20 for a. -1 Suppose 4*j = -100*j + 624. Solve -j = -3*v - c, 2*c - c + 1 = 4*v for v. 1 Let x(s) = s + 24. Let z be x(-22). Suppose 0 = 15*h - 14*h - z. Suppose 5 = h*b - 7. Solve 0*k = -3*l + 3*k, 0 = -3*k - b for l. -2 Suppose -13*j + 126 = -927. Let b = j + -81. Suppose -4*c + b*c + 20 = 0. Solve 0 = -c*l + 4*y + 16, -2*l + 3*y + 8 + 4 = 0 for l. 0 Suppose 12 = -6*a + 42. Suppose -a*k - 4*c + 27 = 0, c + 4*c - 27 = -4*k. Solve -5*h + k*x = 4*x + 15, h = 2*x - 14 for h. -4 Let h(a) = a**2 + 26*a + 156. Let r be h(-17). Solve -3*s + r*v - 13 = v, 2*s = -2*v + 8 for s. -1 Let j(q) = q**3 + q**2 - 3*q - 2. Let i be j(-2). Let k be i/(1/(-6)*-6). Solve 7*x + h = 3*x + 17, 4*x + 4*h - 20 = k for x. 4 Let u(k) = -k**3 + 13*k**2 - 4*k + 6. Let g be u(6). Let j = -232 + g. Solve -j*i = -0*v - 4*v + 6, -27 = -3*v - 3*i for v. 4 Let n(q) = 8*q**3 - 34*q**2 + 1 + 4*q - 3*q**2 + 6*q**3 - 8*q**3 + 11. Let y be n(6). Solve 4*a + y*a = -5*x - 10, -5*a - 5*x - 10 = 0 for a. 0 Let o = 6 - 2. Suppose -3*y + 10 = o. Suppose -34*a = -47*a + 39. Solve -5*i + a = 5*h - y, 3*h - 4*i = -11 for h. -1 Suppose -20*n + 37 = -39 + 16. Solve -5*m + 3*l = 2, 0*m - n*l + 14 = m for m. 2 Suppose 27*x = 11*x + 144*x + 21*x. Let w = -11 - -16. Solve -w*h - 2*y - 5 = 0, 2*y + 12 = -x*h + 2*h for h. 1 Let a = -64 - -110. Suppose -44 = -a*i + 35*i. Solve -3*s - w - w = -1, -5*s + i*w = 35 for s. -3 Let c be ((-133)/(-38))/(1/2) + (-46)/(-2). Solve 5*w + 5*d = c, -3*w + 14*d - 13*d = -6 for w. 3 Suppose 163 = -3*r + 5*m + 200, r + 1 = -m. Solve -3*y - 7 = -r*f, 0*y - 4*f = 3*y + 23 for y. -5 Let v = 23517 - 23514. Solve -3*p - 21 = -v*q, 4*q + 1 = 7*q + p for q. 2 Let c be (18/(-7 + 13) - -75)/((-16)/(-24)). Solve 97 = 4*l + c, 2*l + 20 = -5*p for p. -2 Let u(h) = -113*h + 29. Let d be u(3). Let s = -308 - d. Solve -3*l - 5*o = -0 + 4, -5*o - 14 = -s*l for l. 2 Let s(t) = t**3 + 40*t**2 + 2*t - 1429. Let h be s(-39). Solve 4*p = 3*b + 23, 2*b - 4 = -h for p. 2 Let n be 12/(-7) - 32994/(-1974). Solve -2*z + n = -6*z + v, -3*z - 2*v = 14 for z. -4 Suppose -6*j - 45 = -j. Let t = 15 + j. Let q be (-3171)/(-630) - 29/870. Solve 0 = -2*r - t, -q*s - r - r + 4 = 0 for s. 2 Suppose -49*x + 65*x = -67*x + 166. Solve 0 = 2*o + 6*i - 10, 4*o + 4*i - x*i = 0 for o. -1 Suppose -4*i + 78 = 6. Let o = i - 18. Solve o = 4*q - 2*z + 10, -10 = 5*q - 2*q - 4*z for q. -2 Let q(o) = -2*o**3 + 14*o**2 + 6*o - 39. Let p be q(7). Solve p*d - 1 + 2 = k, -2*k = -d - 7 for k. 4 Let s(f) = -2*f**2 - 6*f + 3. Let i = 47 - 50. Let l be s(i). Solve n + 0*n - 12 = -l*d, -5*n = -5*d + 40 for n. -3 Suppose 13*n - 19*n = -30. Suppose -n*s - 25 = 0, 2*m - 4*s - 12 = 20. Suppose m = -h + 8. Solve 0*b = -5*b + r + 25, h*b - 5*r - 10 = 0 for b. 5 Suppose -1246 = -5*x - z, 0*z + 1262 = 5*x - 3*z. Let a = x - 250. Solve -5*b + 23 = 3*y + 4, -b - 4*y + 14 = a for b. 2 Let b(f) = -8*f + 171. Let d(a) = -21*a**3 - 2*a**2 + a + 3. Let y be d(-1). Let w be b(y). Solve -h - 8 = -3*q + 1, w*h = 2*q - 13 for q. 2 Suppose -740 = 5*l + 5*k, -3*l + 5*k - 55 - 389 = 0. Let j = l - -173. Solve 0 = -5*t - 3*a - j, 3*t - 1 = -2*a - 16 for t. -5 Suppose -39 + 69 = 5*x. Suppose 2 = x*f - 5*f. Suppose 0 = 4*a + p - 3, 0 = a - 5*a - f*p - 2. Solve a*j + 2*u + 2*u = 28, -5*j = u - 25 for j. 4 Suppose -11*r + 104 = -3*r + 18*r. Solve 0*v - 6 = -s + v, -r = s + v for s. 1 Let t(k) = k**3 + 10*k**2 + 16*k - 40. Let o be t(-5). Solve -4*q = -4*n - 16, 4*n - o = -3*q + 14 for n. 1 Suppose -84*s + 19*s + 1300 = 0. Solve 0 = -5*w + 3*u - 26, 6*w - w - 5*u = -s for w. -7 Let h be (24/(-15))/(2/(-5)). Suppose 0 = -4*g - 2*k + 54, -2*k - 124 + 50 = -h*g. Solve o = -0*o - 2*w, 2*o + g = 4*w for o. -4 Let c(o) = 2*o**3 - 157*o**2 + 80*o - 152. Let m be c(78). Solve -3*r - 9 = 3*a, -4*r + m = -a + 1 for a. -3 Suppose -p - 196 = 2*a - 1166, -2*p - 4 = 0. Let j = -481 + a. Solve 0 = 2*i - 4*b - 5 - 1, i - j*b = 0 for i. 5 Let c = -8 - -11. Suppose f - 38 = 5*i, -17*i + 21*i + 16 = 0. Suppose 18*b + f*b = 15*b. Solve -c*v - n = 17, 0 = -2*v - 4*n - b - 28 for v. -4 Let y be 12/14*((-75)/(-30) - -1). Solve -y*f = o - 6*o - 13, 1 = -3*f - 2*o for f. 1 Suppose -j = -z + 7, -3*z + 101 = 3*j + 68. Let h = -3 - -22. Solve j*y = -5 - 5, -5*y - h = 3*b for b. 2 Suppose 0 = -225*c - 235*c + 471*c - 55. Solve 3 = c*i - k - 29, -3*i - 4*k = -33 for i. 7 Suppose -6*j - 41 = -257. Suppose j*o - 31*o - 40 = 0. Solve -y = -h + 6, 5*y + h + o - 2 = 0 for y. -2 Let j be ((-70)/42)/((-1)/(-5) - 102/135). Solve -3*o - 2*k - 18 = 0, -j*o + 7*k - 8*k - 15 = 0 for o. -4 Suppose 0 = 3*s + v - 1, 314 - 329 = -5*s + 5*v. Solve -2*y + 4 = 4*k, k + 16 = 4*y - s for k. -1 Let n be -20 + 37 + -15 + 1. Solve 4*v + 3*a = -31, -n*a - 10 = 5*v - 5*a for v. -4 Let m be 588 + 5*(-6 - (0 - 5)). Let d = 583 - m. Solve 5*p - 3*k - 14 = d, -4*p + 26 = -k + 6*k for p. 4 Suppose -5*t = -4*d - 9 - 5, -9 = -5*t - d. Solve t*h + 4 = -2*l, 0 = -h - 0*l + l - 2 for h. -2 Let u be 1*(0/(-2))/5. Solve u = -5*w - 6*r + 11*r, 2*r - 2 = 3*w for w. -2 Let l(s) = s**2 + s - 6. Let i(f) = 2*f**2 + 3*f + 2. Let r be i(0). Let x be l(r). Suppose -v + 4 = v. Solve -t + 11 = -0*g - 2*g, x = t + g - v for t. 5 Suppose -741*m + 3*v + 9 = -738*m, 0 = m - 2*v - 1. Solve -m*h = p + 7, -5*p + 158 = 2*h + 170 for h. -1 Let p(t) = t**3 - 2*t**2 - 12*t + 23. Let f be ((-434)/155)/(14/(-20)). Let m be p(f). Solve -2*l = o - m, 3 = 6*l - 3*l + 4*o for l. 5 Suppose -5*f - m = -3*m - 38, 4*f = -3*m + 35. Suppose 17*u = 19*u - f. Solve 0 = -2*i, 4*n + 3*i + 4 = -u for n. -2 Suppose -2*h + 16 = 4*a, -h + 3 = a - 3. Suppose 8*n - h*n - 16 = 0. Solve 0 = -r + 4*d - n, 4*r + 18 = -3*d + 2 for r. -4 Let p(b) = -6*b**2 + 231*b - 735. Let n be p(35). Solve 5*j + 23 - 3 = a, n = -3*j - a - 12 for j. -4 Let j(b) = -b + 7. Let g be j(3). Suppose -4*z - 112 = -2*z + 2*v, g*v = -5*z - 278. Let f = 56 + z. Solve f*i + 6 = -i, -2*i = m - 1 for m. 5 Suppose -280 = 2314*n - 2328*n. Solve -4*p = -3*m + n, 22 = -p + 5*m - 0 for p. -
{ "pile_set_name": "DM Mathematics" }
2*p + 42. Let y(k) = 7*i(k) + 6*x(k). Let h be y(1). What is the biggest value in 5, h, 0? 5 Let f = -6 + 4. Let m = -1.98 - f. Let v be 12/21 - (-3834)/(-756) - (-34)/4. What is the third smallest value in m, v, -2? v Let u = -57 - -55. Let o = 23371/7 + -3339. What is the smallest value in -5, o, u? -5 Let g be 3*-2 - (5 + (5 - (-4389)/(-275))). What is the second biggest value in -8, -2/5, g, -1/6? -1/6 Let a be (0 - -1)*(388/291 - 10/6). What is the fourth biggest value in -5/2, -1/2, -259, a? -259 Let n = -0.773 - 0.227. Let t(u) = -13*u - 4. Let f be t(-2). Suppose -k + 5*v = 14, 4*k - 10 - f = -2*v. Which is the biggest value? (a) 0.3 (b) k (c) n b Let d = 1071 - 4279/4. Let m = 1.1 - 2. Let i = -51 - -54. Which is the third biggest value? (a) i (b) m (c) d b Let z = -13830 - -13840. What is the third biggest value in 1, 1/10, z, 1/7? 1/7 Let h = 0.6 - 1.2. Let p be 15/770*(4 + -2). Let y = 53/616 + p. What is the biggest value in h, 4/9, y? 4/9 Let j = -2.92 + -0.08. Suppose -1118*s + n - 11 = -1117*s, 0 = -5*s + 4*n - 46. Which is the second biggest value? (a) j (b) -0.5 (c) s (d) -0.31 b Let b = 0.9792 - -29.0208. What is the fourth smallest value in b, -4/7, 0.09, 5? b Suppose 2*q + 2*t + 6 = 0, -4*q + 4*t + 21 + 7 = 0. Let w = 14/15 + -4/15. Which is the third biggest value? (a) -5 (b) q (c) 0.6 (d) w c Let j = -137 + 193. Let p = 59 - j. Let k = -3 + 3. Which is the second smallest value? (a) k (b) 2/11 (c) p (d) -1 a Let g(t) = -3*t + 23. Let i(k) = k - 7. Let n(z) = -3*g(z) - 8*i(z). Let f be n(16). Which is the smallest value? (a) f (b) 0.7 (c) 0.1 c Let o = -1.8 - -2. Let i = 26.57 + -1.97. Let t = i + -24.8. What is the second smallest value in 0, 12, t, o? 0 Let m = 28/341 + -1560/2387. Which is the second biggest value? (a) -436 (b) 2 (c) m c Let w be 5 + 0 - (2 + 0). What is the third smallest value in -299/3, 0, w? w Suppose 0*f = -2*f + 14. Suppose 278 = -5*u + 1268. Let k be 11/u*2/1. What is the second biggest value in 3, k, f, -0.2? 3 Let t = -0.641 - -0.141. What is the third biggest value in t, -19, 0.2, 3/8? t Let t = 8872 + -8872.04. Let y = -4.82 - 0.18. What is the third smallest value in y, -2/5, t? t Let m be 1 + 2*(-15)/12*(-2)/(-5). Let s(i) = i**3 + 12*i**2 - 2*i - 20. Let v be s(-12). Which is the fourth smallest value? (a) 2/3 (b) -1/5 (c) v (d) m c Let r = 7/18 + -113/198. Which is the fourth smallest value? (a) 35 (b) r (c) -2/43 (d) -0.1 a Let s = -5289 - -5287. Which is the second biggest value? (a) -0.03 (b) -2/5 (c) -4/3 (d) s b Let z = -0.364 - -152.364. Let m = 152.02 - z. Let g = -2/137 + -129/548. What is the third smallest value in m, 3, g? 3 Let f be (-22)/24 + (-12 - (-266)/21). Which is the third smallest value? (a) 0.29 (b) f (c) -1 (d) -3 b Let r(v) = v - 3. Let b be r(0). Let q = -8490.53 - -8453. Let j = q + 37.6. What is the second biggest value in 2/13, -0.3, b, j? j Let q = 6 - 202. Which is the second smallest value? (a) 1 (b) q (c) -4 (d) -0.1 c Let o = 0.3 + -0.2. Let u(f) be the first derivative of -f**4/2 - 63. Let l be u(1). What is the second smallest value in l, o, 1, 3? o Let i(v) = 2*v. Let m(t) = -3*t - 25. Let r(l) = i(l) + m(l). Let w be r(-15). Which is the second biggest value? (a) 0.4 (b) 0 (c) 4 (d) w a Let r = -135 - -209. Let p = r - 90. Let k = 12 + p. What is the third biggest value in -0.2, 1/5, k, 0.05? -0.2 Let y = 109.3 + -109. Let k be (-11 + -5)*3/4. Let q = -11 - k. What is the third smallest value in q, y, 0.2? q Let p = -6334 - -6334.4. Let r be 3*(-4)/42 - 0. Which is the biggest value? (a) 1/5 (b) p (c) r (d) -4 b Let u(n) = 2*n - 5. Let a be u(10). Let y = -0.191 + 14.191. Let f = 14.4 - y. What is the smallest value in f, 0, a? 0 Let q = -17097 - -119677/7. What is the third smallest value in q, 0, -5, 5, -4.8? q Let b be (4*(-3)/(-12))/((-21)/42). Let l = 16 + -17. What is the fourth smallest value in -5, b, 3, l? 3 Let s = -0.1789 + 0.1789. Which is the smallest value? (a) -0.4 (b) -0.487 (c) s b Let r = -4696 - -4695.7. What is the smallest value in 324, r, -2? -2 Let m = 1573/6 - 7847/30. Which is the biggest value? (a) 0.12 (b) -0.08 (c) m c Suppose 1172 = 32*z + 7060. What is the third biggest value in 2/15, -3/7, z? z Let j = 4083.93 + -4084. Which is the second biggest value? (a) -1/2 (b) j (c) 5 b Let n = 107 + -107.4. Let t = -134.5 - -135.2. What is the third smallest value in n, 0, t, 0.4? 0.4 Let c = 1273755/13 - 97981. Let u = -79 + 393/5. What is the biggest value in c, 13, 0, u? 13 Let t = -1 + 1.06. Let j = t + -0.08. Let w be 3/(231/(-14) - 3). Which is the second biggest value? (a) j (b) -1 (c) w c Let j = 6463 - 6459. Which is the third smallest value? (a) -2 (b) j (c) 4/5 (d) -7 (e) 1/4 e Let c = 14 - 14. Suppose -4*v + 4*v - 7*v = 0. Suppose 10 = 2*s - v. What is the smallest value in -5, -0.07, c, s? -5 Let m = -13 - -77. Let h = m - 19. Let o = h - 43. What is the biggest value in 0.2, 1/3, o? o Let k = 535 + -525. Let o be (5 - 5) + 30/k. What is the third biggest value in o, 1/3, -1/2, 13/4? 1/3 Let j be (-816)/(-765)*(-3)/4. Which is the third smallest value? (a) j (b) 2/241 (c) 0.2 c Let m = 0.29188 + -2.29188. What is the smallest value in 0.2, m, -5, 5, 0? -5 Let s = 52.4 - 47.4. Let g be 2 + (8/4 - -4). Suppose -11 = 4*d - 3*h - 1, -g = 4*h. Which is the biggest value? (a) s (b) d (c) 4 a Let n = -500 + 501. Which is the fifth smallest value? (a) -1 (b) -2 (c) n (d) 23 (e) -0.2 d Let y = 1/6 + -2/3. Let u = 90/1663 + -3596/4989. What is the third smallest value in u, 1/4, y? 1/4 Let v = -97.87 - -100.8576. Let x = -0.0124 - v. Which is the smallest value? (a) 0.2 (b) -1/6 (c) x (d) -2 c Let z be (-66)/(-11)*(-10)/60. Which is the biggest value? (a) z (b) -6 (c) 2/3 (d) 0.5 c Let t = 0.49 + -12.99. Let z = -15 - t. Let v = 3 + z. Which is the third biggest value? (a) -2 (b) 2/15 (c) v (d) -2/3 d Let u = 3543.5 + -3544. Which is the fourth biggest value? (a) u (b) 2 (c) 3/2 (d) 55 a Let i = -36.888 - -37. Let w = 0.197 - i. Let n = w - -3.915. Which is the second biggest value? (a) 9 (b) 0 (c) n c Suppose -1560*r + 233 + 43 = -1583*r. Let q = -0.3 - -0.8. What is the biggest value in r, -3, -1/5, q? q Let i = 1366 + -1989. Let k = i + 627. What is the second biggest value in 0, k, -4, 74? k Let n be 8/5 - 2/2. Let y = -0.4 + 0.9. Let i = 45389 + -45388.7. What is the second biggest value in -3, n, y, i? y Let s = 384.5 - 380.5. Which is the smallest value? (a) 2/7 (b) 1.2 (c) s (d) 1 (e) -1 e Let z = 2569/4 + -17999/28. Which is the second smallest value? (a) z (b) -5 (c) -45 b Let u = -0.02478 - 0.00522. What is the second smallest value in -1, 0.16, u, 5/2, 1/4? u Let s = -1.12 - -0.92. Let i(y) = -2*y**2 - 15*y - 10. Let n be i(-7). Let m be 2 + 50/(-14) + 1. What is the third biggest value in m, n, 2, s? m Let v = 218 + -208. Suppose -v*u + 3 = -9*u. What is the third smallest value in 103, 1/3, u, 5? 5 Let n = 1.95 - 0.95. Let a be 15/5 + (-431)/120. Let r = a + -3/40. What is the second smallest value in 7, n, r? n Let r = -3120 - -2754.95. Let a = r - -365. What is the third biggest value in 31, -0.3, a? -0.3 Let y = -1 + 1.1. Let j = -3.70497 - -3.90497. Which is the second biggest value? (a) y (b) -1/3 (c) j (d) 0.04 a Let k be (16/10)/(30/(-55)) - -3. Let g = k - 2/5. What is the smallest value in -4, g, 2? -4 Let i = 795.7 - 837. Let m = -17.4 - -58.4. Let f = m + i. What is the fourth biggest value in 2, -0.02, -2/3, f? -2/3 Suppose 3*w + 2*g = 7*g - 37, -4*w - 31 = -3*g. Let z = 2 - 2.1. Which is the third smallest value? (a) z (b) w (c) -0.4 (d) -2/9 d Suppose 5*s + 250 = -105*u + 102*u, -200 = 4*s + 4*u. What is the second biggest value in s, 0.4, -2, -3/4, -13? -3/4 Let k = 758 + -761.6. Which is the biggest value? (a) k (b) 2 (c) -0.4 (d) 0 b Let p = -48.55 + 44.55. What is the third smallest value in p, 15, 16, 0.4? 15 Let t = -190.26 - -189.96. Which is the smallest value? (a) 0.4 (b) -0.5 (c) t (d) 1.302 b Let t = -37.4 - 17.6. Let h = 46 - 416/9. Which is the third smallest value? (a) t (b) h (c) -0.4 b Let k = -5407 + 5410. What is the biggest value in -3/4, -119, k? k Let
{ "pile_set_name": "DM Mathematics" }
:18 AM? 274 How many minutes are there between 4:33 PM and 11:43 PM? 430 How many minutes are there between 12:29 PM and 5:22 PM? 293 How many minutes are there between 8:48 AM and 6:33 PM? 585 What is 618 minutes after 9:44 AM? 8:02 PM What is 457 minutes before 11:20 AM? 3:43 AM What is 82 minutes before 11:15 AM? 9:53 AM What is 556 minutes before 3:18 AM? 6:02 PM How many minutes are there between 12:01 PM and 1:04 PM? 63 How many minutes are there between 3:11 AM and 9:24 AM? 373 What is 38 minutes before 12:39 PM? 12:01 PM How many minutes are there between 3:37 AM and 8:01 AM? 264 What is 670 minutes before 9:07 PM? 9:57 AM What is 707 minutes after 5:05 AM? 4:52 PM What is 67 minutes before 7:29 AM? 6:22 AM How many minutes are there between 10:14 PM and 1:51 AM? 217 How many minutes are there between 11:00 AM and 9:44 PM? 644 How many minutes are there between 7:52 AM and 10:58 AM? 186 How many minutes are there between 11:48 AM and 6:48 PM? 420 How many minutes are there between 9:57 PM and 8:52 AM? 655 What is 618 minutes before 3:37 PM? 5:19 AM How many minutes are there between 2:48 AM and 3:39 AM? 51 What is 578 minutes after 6:19 AM? 3:57 PM What is 185 minutes before 9:07 PM? 6:02 PM How many minutes are there between 4:05 PM and 2:14 AM? 609 What is 360 minutes after 9:06 PM? 3:06 AM How many minutes are there between 12:29 AM and 7:13 AM? 404 What is 568 minutes before 2:52 PM? 5:24 AM What is 488 minutes after 9:11 PM? 5:19 AM What is 456 minutes before 5:02 PM? 9:26 AM How many minutes are there between 10:25 AM and 10:44 AM? 19 What is 374 minutes before 4:56 AM? 10:42 PM How many minutes are there between 11:40 PM and 6:30 AM? 410 What is 546 minutes after 7:34 AM? 4:40 PM How many minutes are there between 1:00 AM and 8:26 AM? 446 How many minutes are there between 8:14 PM and 6:32 AM? 618 How many minutes are there between 6:39 AM and 5:15 PM? 636 What is 91 minutes before 6:39 AM? 5:08 AM How many minutes are there between 4:14 PM and 4:53 PM? 39 How many minutes are there between 7:11 PM and 5:08 AM? 597 What is 96 minutes after 8:14 PM? 9:50 PM How many minutes are there between 4:47 PM and 1:21 AM? 514 What is 207 minutes after 8:29 AM? 11:56 AM What is 581 minutes before 8:45 PM? 11:04 AM How many minutes are there between 9:58 PM and 10:54 PM? 56 How many minutes are there between 5:34 AM and 11:50 AM? 376 What is 693 minutes before 5:58 AM? 6:25 PM What is 121 minutes after 10:22 PM? 12:23 AM What is 663 minutes before 3:17 PM? 4:14 AM What is 137 minutes after 10:54 AM? 1:11 PM How many minutes are there between 8:53 AM and 12:48 PM? 235 How many minutes are there between 3:25 PM and 10:24 PM? 419 What is 428 minutes after 2:26 AM? 9:34 AM What is 709 minutes before 10:53 PM? 11:04 AM How many minutes are there between 1:07 PM and 6:39 PM? 332 How many minutes are there between 5:42 PM and 3:38 AM? 596 What is 19 minutes before 6:41 AM? 6:22 AM What is 490 minutes after 9:53 AM? 6:03 PM What is 115 minutes before 10:05 PM? 8:10 PM How many minutes are there between 11:57 PM and 5:14 AM? 317 What is 458 minutes before 2:43 AM? 7:05 PM How many minutes are there between 2:11 PM and 12:36 AM? 625 How many minutes are there between 9:29 PM and 2:32 AM? 303 What is 12 minutes before 8:42 AM? 8:30 AM What is 457 minutes before 6:56 AM? 11:19 PM What is 641 minutes after 6:26 AM? 5:07 PM How many minutes are there between 9:21 PM and 10:32 PM? 71 What is 410 minutes before 5:30 PM? 10:40 AM What is 611 minutes before 1:08 PM? 2:57 AM What is 36 minutes before 9:17 PM? 8:41 PM What is 491 minutes after 11:24 AM? 7:35 PM How many minutes are there between 4:47 PM and 5:49 PM? 62 What is 559 minutes after 12:36 PM? 9:55 PM How many minutes are there between 10:19 AM and 4:31 PM? 372 How many minutes are there between 7:35 PM and 1:19 AM? 344 What is 202 minutes after 7:18 PM? 10:40 PM How many minutes are there between 4:15 AM and 1:05 PM? 530 How many minutes are there between 5:14 PM and 11:39 PM? 385 What is 260 minutes after 6:04 AM? 10:24 AM How many minutes are there between 12:43 AM and 5:07 AM? 264 What is 443 minutes before 10:32 PM? 3:09 PM What is 680 minutes after 11:38 AM? 10:58 PM What is 578 minutes after 4:42 PM? 2:20 AM How many minutes are there between 5:53 AM and 4:27 PM? 634 How many minutes are there between 6:45 PM and 7:47 PM? 62 What is 165 minutes after 2:09 AM? 4:54 AM What is 104 minutes before 9:54 PM? 8:10 PM What is 402 minutes after 2:29 AM? 9:11 AM What is 430 minutes before 1:49 PM? 6:39 AM What is 97 minutes before 11:08 AM? 9:31 AM What is 539 minutes after 2:46 AM? 11:45 AM How many minutes are there between 6:56 AM and 12:41 PM? 345 What is 204 minutes after 2:18 PM? 5:42 PM How many minutes are there between 9:56 PM and 10:21 PM? 25 How many minutes are there between 2:45 PM and 8:51 PM? 366 What is 583 minutes before 5:55 AM? 8:12 PM What is 249 minutes after 3:11 AM? 7:20 AM How many minutes are there between 6:06 AM and 12:51 PM? 405 How many minutes are there between 4:51 AM and 11:25 AM? 394 What is 670 minutes after 4:42 AM? 3:52 PM How many minutes are there between 2:40 AM and 6:09 AM? 209 What is 197 minutes before 5:09 PM? 1:52 PM What is 675 minutes before 12:41 PM? 1:26 AM What is 508 minutes before 8:23 AM? 11:55 PM How many minutes are there between 6:07 PM and 12:53 AM? 406 How many minutes are there between 11:21 AM and 4:10 PM? 289 What is 71 minutes before 4:06 PM? 2:55 PM How many minutes are there between 4:21 PM and 2:10 AM? 589 How many minutes are there between 5:28 PM and 6:44 PM? 76 How many minutes are there between 11:36 AM and 8:55 PM? 559 How many minutes are there between 1:13 AM and 8:38 AM? 445 What is 191 minutes before 12:01 PM? 8:50 AM What is 592 minutes after 7:09 AM? 5:01 PM How many minutes are there between 1:03 AM and 12:25 PM? 682 How many minutes are there between 11:50 PM and 12:43 AM? 53 How many minutes are there between 11:42 AM and 11:54 AM? 12 What is 473 minutes before 1:15 AM? 5:22 PM What is 153 minutes after 10:56 PM? 1:29 AM How many minutes are there between 5:48 AM and 5:16 PM? 688 What is 328 minutes before 6:32 AM? 1:04 AM What is 591 minutes after 10:40 AM? 8:31 PM What is 266 minutes after 8:07 AM? 12:33 PM What is 705 minutes after 4:26 AM? 4:11 PM What is 664 minutes before 4:53 PM? 5:49 AM What is 420 minutes before 11:05 PM? 4:05 PM What is 69 minutes after 9:41 PM? 10:50 PM What is 472 minutes before 1:59 PM? 6:07 AM How many minutes are there between 9:53 PM and 10:31 PM? 38 How many minutes are there between 7:45 AM and 6:52 PM? 667 What is 366 minutes before 1:56 AM? 7:50 PM What is 620 minutes before 9:05 AM? 10:45 PM What is 367 minutes after 6:42 PM? 12:49 AM What is 289 minutes after 6:19 PM? 11:08 PM How many minutes are there between 6:11 PM and 7:18 PM? 67 How many minutes are there between 3:16 AM and 9:22 AM? 366 How many minutes are there between 4:03 AM and 7:26 AM? 203 How many minutes are there between 2:29 PM and 8:13 PM? 344 How many minutes are there between 6:08 AM and 9:51 AM? 223 How many minutes are there between 8:23 AM and 11:24 AM? 181 What is 244 minutes after 7:56 AM? 12:00 PM What is 89 minutes after 6:32 AM? 8:01 AM What is 36 minutes after 4:02 AM? 4:38 AM What is 313 minutes before 1:00 PM? 7:47 AM How many minutes are there between 6:48 AM and 1:34 PM? 406 How many minutes are there between 2:54 AM and 11:18 AM? 504 How many minutes are there between 7:53 PM and 6:00 AM? 607 What is 63 minutes before 4:44 AM? 3:41 AM How many minutes are there between 3:50 PM and 10:28 PM? 398 How many minutes are there between 8:41 PM and 6:11 AM? 570 What is 337 minutes after 3:38 PM? 9:15 PM What is 661 minutes before 10:08 AM? 11:07 PM How many minutes are there between 2:40 PM and 11:28 PM? 528 What is 655 minutes before 12:07 AM? 1:12 PM What is 323 minutes before 3:51 AM? 10:28 PM What is 4 minutes before 2:44 PM? 2:40 PM How many minutes are there between 1:51 PM and 2:26 PM? 35 What is 165 minutes before 10:21 PM? 7:36 PM How many minutes are there between 8:17 AM and 12:47 PM? 270 How many minutes are there between 6:10 AM and 2:15 PM? 485 How many minutes are there between 11:14 PM and 4:
{ "pile_set_name": "DM Mathematics" }
-1/3 - -5/6. Let w = -70 - -1. Let s be ((-264)/w - 4)*3/6. What is the biggest value in 0.1, s, c? c Let f be 320/(-1920) + 3/(-2) + 2. Which is the second smallest value? (a) -2/13 (b) f (c) 0.3 (d) -225 (e) 2 a Suppose 34*y + 657 = -40*y + y. What is the third biggest value in 6/17, 4, y? y Let z = 760.57762 + 0.02238. Let n = -760 + z. Let j = 0 + -0.4. Which is the second smallest value? (a) 0 (b) j (c) n a Let u = -70 + 74. Let q = -1.69 + -4.31. What is the second biggest value in u, 3, q, -0.3? 3 Let m = -345 - -379.9. Let q = -36.9 + m. Let o(x) = -x**2 + 4*x - 5. Let v be o(4). Which is the third biggest value? (a) q (b) 2 (c) v c Let p = -130.2 + 129.62. What is the third smallest value in p, -3, 1.5? 1.5 Let d be (-9 - (-2944)/168) + 0 - 5. What is the second smallest value in -3, d, 3/7? 3/7 Let t = -10944 + 10955. Which is the fifth biggest value? (a) 5 (b) 0.4 (c) t (d) -1/2 (e) 0.04 d Let g = -479 - -270. Let m = g + 212. What is the biggest value in -5, -0.18, m? m Let m = 379 - 381. Let w be (-3)/(-4 + m)*(149 + 13). Which is the second biggest value? (a) -5 (b) w (c) 2 (d) -2 c Let u(p) = -p - 2. Let a be u(4). Let r be (((-4)/a)/((-4)/16))/6. Let g = -71 + 76. What is the third smallest value in -5, r, 0, g? 0 Let s = -46.13 - -47.13. Which is the fourth biggest value? (a) -1 (b) -3 (c) s (d) -0.19 b Let z = -61.061 - 0.439. Let s = -73.5 - z. What is the second smallest value in s, -1, 7/4? -1 Let g = 3.767 + -0.767. What is the smallest value in 0.05, g, -0.009? -0.009 Let o be (3 + (-1)/(-1))/1. Let a = -0.56 + 6.56. Let c = a - 21. What is the second smallest value in 0, o, 0.2, c? 0 Let n = -7.05 + 7.35. Which is the smallest value? (a) 1 (b) 5 (c) -0.04 (d) n (e) -0.3 e Let w = -29105 + 29107. What is the third biggest value in -5, w, 4, 0.085, -1? 0.085 Let t be -12 - -8 - -10*30542/13752. Let u = t - -5/382. Let z = u + -18. Which is the second biggest value? (a) z (b) 0 (c) 1/7 (d) -5 c Let a(w) = -w**3 + 13*w**2 + 34*w - 70. Let k be a(15). What is the smallest value in -1/2, k, 1, 2, -4? k Let g = -413 - -411.5. Let w = 3.9 - 7.4. Let l = w - g. Which is the third biggest value? (a) -1 (b) 1/3 (c) -4 (d) l d Let r = -165.2738 - 0.1262. Let j = r + 165. Which is the fourth smallest value? (a) 2/7 (b) j (c) 0 (d) -0.2 a Let q be (-18)/(-4) - (-60639)/986. Which is the fourth biggest value? (a) q (b) 5 (c) -0.5 (d) -0.04 c Let f = -68.37 + 68.47. Which is the fifth smallest value? (a) 0.4 (b) f (c) -2/7 (d) -6 (e) 43 e Let y = 12/95 + -10/19. Suppose 8*d - 14*d + 24 = 0. Which is the smallest value? (a) d (b) -1/5 (c) y c Let h = -0.489 - -26.489. What is the fourth smallest value in 2, -1/20, 0.2, h? h Let l(w) = w**2 - w - 286. Let q be l(-16). Which is the second smallest value? (a) 8 (b) q (c) -0.4 (d) 2 c Let s = 809/26199 - 1/369. Let u = -0.02 - -1.02. Which is the smallest value? (a) s (b) 5 (c) u a Suppose -3*g - 631 = -2*q, -6*g - 323 = -q - 2*g. Let t = -1871/6 + q. Let v = -8 - -8.8. Which is the third biggest value? (a) -0.1 (b) v (c) t c Let s = -0.03561 - 0.36439. Which is the smallest value? (a) 4/7 (b) -442 (c) s b Suppose -3*g + 1857 = 606. Let v be ((-3)/2)/(2 - g/210). Let c be (-4)/(-6) + 130/v. What is the fourth smallest value in -5, 0, -3, c? 0 Let p = 10/5229 + 8416/26145. Let m = 4/21 - p. Which is the third biggest value? (a) 3/5 (b) m (c) 3/2 b Let k = -220.1 - -216.1. Which is the second biggest value? (a) 5 (b) k (c) -61 (d) -1 d Suppose -12*s + 92 = -14*s. Let g = -39 - s. Let v be 1/35 + (185/25 - g). Which is the second biggest value? (a) 2/13 (b) v (c) -2 a Let h = -15/409 - -71/13088. What is the second smallest value in 1/6, h, 8? 1/6 Let d = 20941/5 - 4187. What is the third smallest value in -3, d, -1, -3/4? -3/4 Let r = -218775 - -218774. Let j = 4 + -3.94. What is the third smallest value in -2/5, 0.5, j, r? j Let q = 1370.921 + -1371. Which is the second smallest value? (a) -1 (b) q (c) 2 b Let l = 93.074 - 143.091. Let t = l - -0.017. Let s = t + 53. Which is the biggest value? (a) -0.2 (b) s (c) 14 c Suppose -121*w = -0*w - 22*w. Let u be 2/10 + 95/(-225). What is the smallest value in w, 1/7, -3, u? -3 Let i = 13386 - 13391. Which is the third biggest value? (a) -804 (b) 0.5 (c) i (d) -1/3 (e) 3/5 d Let g be ((-56)/(-35) - 0)/(2/(-5)). What is the third smallest value in g, 4/5, -21/4? 4/5 Let o = 1 - 4. Let u be (9/(-108)*-4)/(1 + 2). Let v = 1.5 - 1. What is the fourth smallest value in -1, u, o, v? v Let a = -1045/9 + 2099/18. What is the second biggest value in a, 14, -3, -70? a Suppose 3*k + 48 - 54 = 0. Suppose -w + 5 = 2*v, 3*w - w = 2*v - k. Which is the smallest value? (a) v (b) -0.05 (c) -2/19 c Let r = -17.514 - -17.714. Suppose 5*m = 2*t - 9, -2*t + 3*m = -0*m - 3. Which is the second smallest value? (a) 2 (b) r (c) t b Let x = 45.3 - 45. Let j = 1.306 + -2.906. Let m = -5/4 - -7/12. Which is the second smallest value? (a) j (b) m (c) x b Let r = -15897 - -7853115/494. What is the third smallest value in -2, -0.2, r? r Suppose 3*v + 6 = 6*v. Let r be 10/(-15)*v + (-34)/(-21). Let y = 0.9 - 0.6. Which is the third biggest value? (a) r (b) 3 (c) y (d) -3/7 a Let v = 27777.1 - 27773.8. Let d = 3.7 + -0.7. Which is the biggest value? (a) v (b) d (c) -2 a Let i = 12912/11 + -1174. Let p be (1/(-5))/((-2)/(-6)). Let r = -71.7 - -71. What is the third smallest value in r, p, i? i Let y = -190 + 187. Let l be 32/8 - y*3/(-2). Which is the biggest value? (a) l (b) 3 (c) -4 (d) 0 b Let r be (-1)/(-2)*(-15)/(-30). Let z = 82 - 89. Which is the second biggest value? (a) -3 (b) z (c) r (d) 1/7 d Let a be (-24)/16 + (7 - (-380)/(-72)). Suppose -3*n = -22 - 2. What is the third smallest value in 2/11, a, n? n Let z = -6/389 + -22915/2334. Let f = 139/14 + z. Suppose -48 = -3*m - 3*l, -m + 4*l + 14 = 7*l. What is the second smallest value in f, 5, m? 5 Let y = 5.2 + -13.2. Let k be (-132)/(-80) + -2 + 51/68. What is the second biggest value in -4, k, y? -4 Let l = 2605 + -1777. Let v = -825 + l. Which is the second biggest value? (a) -0.2 (b) 1 (c) 0 (d) v b Suppose i = 19*i + 162. Let f be (i/9)/(6/8 + 0). What is the biggest value in 2/13, -1/2, f, -5/4? 2/13 Let a = 14884 + -74416/5. What is the fifth biggest value in 0.01, -7, 0.1, 2, a? -7 Let m = 2 + -1. Let l be 32/20*(7688/3824 + -2). Let y = 562/5019 - l. What is the smallest value in -2/5, -2, y, m? -2 Let v = -8944/11155 - -4/2231. Which is the fifth biggest value? (a) 7 (b) v (c) -1 (d) 2 (e) -3/13 c Let l = 11 - 7. Let g be ((-15)/(-90)*6)/((3 + -2)/1). Which is the third biggest value? (a) g (b) 2/11 (c) l (d) -3 b Let f = 42 - 44. Let n = -350 + 354.26. Let a = -0.26 + n. What is the smallest value in -6, f, a, 0.4? -6 Suppose 34*m = -10589 + 10521. Which is the fifth smallest value? (a) 0.3 (b) 25/4 (c) 4 (d) 1/2 (e) m b Let p = 0.59 - 0.49. Let o(y) = -y + 14. Let i be o(11). Which is the fourth biggest value? (a) i (b) -0.1 (c) -4 (d) p c Let p = 21.761 + -19.461. What is the third biggest value in 9, -2, p? -2 Let g = 102/385 + 52/385. Which is the third smallest value? (a) 0.62 (b) g (c) 1 c Let m = 108 - 108.272. Let w = m - -0.372. Let i = 6 - 6.2. What is the second biggest value in 4, i, w, -0.1? w Let l = -14559 + 14562. What is the fourth biggest value in -4, 1/8, 2/5, -0.1, l? -0.1 Let c = -1.01 - 9.99. Let t = -652/7 + 94. What is the fourth smallest value in 0.7, c, 5, t? 5 Let w = 627 - 627. Which is the biggest value? (a) w (b) 2/13 (c) 1 (d) 3/10 c Let v = -193 - 117. Let p = 310 + v. Which is the second biggest value? (a) -1/7 (b) p (c) 4 (d) 26 c Let j be 12 + 54/(-6) - (-37)/(-12). Which is the third biggest value? (a) j (b) -6/23 (c) 3/2 b Suppose -4*t = -8*t + 4*q + 96, 5*q = t - 40. What is the third biggest value in -1/25, 4/3, t? -1/25 Let a = -1.41 - -4.324. Let c = a - -0.086. Let l be 28/10 - (2 - 0). What is the fourth biggest value in c, -2/7, -0.17, l? -2/7 Let a be 1358/(-336)*-4 + -16. What is the second smallest value in -2/41, 4, -0.5, 3, a? -2/41 Let p be ((-76)/(-10))/(167/835). Which is the smallest value? (a) -73 (b) -2
{ "pile_set_name": "DM Mathematics" }
ed to the nearest one thousand? -51602000 Round 2.075843405 to 4 dps. 2.0758 Round 11.0209699 to 2 decimal places. 11.02 Round 0.000010237184538 to 6 decimal places. 0.00001 What is -0.74920801 rounded to two dps? -0.75 Round 1.975732806 to 1 dp. 2 Round -0.00097596481 to 6 dps. -0.000976 Round -0.000136915968 to five decimal places. -0.00014 What is -835.6771735 rounded to one dp? -835.7 What is 0.00012558929 rounded to five dps? 0.00013 What is 6286940.193 rounded to the nearest 10000? 6290000 Round 11.153154 to 3 decimal places. 11.153 Round -0.002869112988 to 7 decimal places. -0.0028691 What is -1.39607591 rounded to two dps? -1.4 Round 30.36644043 to 0 dps. 30 What is 0.0000263906819 rounded to 7 decimal places? 0.0000264 What is 886090341.9 rounded to the nearest 1000000? 886000000 What is 3954.770601 rounded to 0 dps? 3955 What is 0.130332087 rounded to 5 decimal places? 0.13033 Round -278.1066731 to 2 dps. -278.11 Round -6443378.675 to the nearest 10000. -6440000 What is 0.0016208475 rounded to 5 decimal places? 0.00162 What is 408726.063 rounded to the nearest one hundred thousand? 400000 What is 49.53312074 rounded to the nearest ten? 50 Round -0.1325166222 to 5 dps. -0.13252 Round -7163.681666 to the nearest integer. -7164 Round 320090360 to the nearest 100000. 320100000 Round -8409.9517 to the nearest 100. -8400 Round -1949294.03 to the nearest one thousand. -1949000 Round -0.017988642 to 3 decimal places. -0.018 Round -5699885.273 to the nearest one hundred. -5699900 What is 71046.70973 rounded to 0 dps? 71047 What is -66.98116608 rounded to the nearest integer? -67 Round -0.310809208 to two decimal places. -0.31 What is -1466216440 rounded to the nearest 1000000? -1466000000 What is 0.00000108343493 rounded to six decimal places? 0.000001 What is 21366.7401 rounded to the nearest one hundred? 21400 Round 0.043584828 to three decimal places. 0.044 What is 0.022642962 rounded to 5 dps? 0.02264 Round -162589690 to the nearest 1000000. -163000000 Round 48141.0374 to the nearest integer. 48141 Round 2419.8868 to the nearest one thousand. 2000 What is -548582.64 rounded to the nearest ten thousand? -550000 Round 546285.26 to the nearest ten thousand. 550000 What is -26949904 rounded to the nearest 1000000? -27000000 What is 30944.6195 rounded to the nearest one thousand? 31000 What is 23.63276339 rounded to one dp? 23.6 Round 18.001912 to the nearest integer. 18 Round 1323363675.1 to the nearest 100000. 1323400000 Round 1049121.24 to the nearest 100. 1049100 What is 0.03428374426 rounded to three decimal places? 0.034 Round -266110551.3 to the nearest 100000. -266100000 Round 0.7107721 to four dps. 0.7108 What is 1395361.83 rounded to the nearest 1000? 1395000 What is -65197878800 rounded to the nearest one million? -65198000000 Round 0.060041749 to two decimal places. 0.06 Round -0.006004642065 to three decimal places. -0.006 Round 906612.451 to the nearest one hundred. 906600 What is -13880.804 rounded to the nearest 100? -13900 What is 5398.51983 rounded to the nearest ten? 5400 What is 0.001162709514 rounded to 5 dps? 0.00116 What is 0.0307867409 rounded to one decimal place? 0 Round 1.86627761 to 4 decimal places. 1.8663 What is -66042.0591 rounded to the nearest integer? -66042 Round -35999.1529 to the nearest ten. -36000 What is -0.00113116024 rounded to 4 decimal places? -0.0011 Round -52077.12 to the nearest 100. -52100 Round -13.15916004 to 0 dps. -13 What is 5.2956527 rounded to three dps? 5.296 What is 0.003432508186 rounded to 7 dps? 0.0034325 Round -0.0408603818 to four decimal places. -0.0409 Round 26622.7 to zero dps. 26623 Round -187493839 to the nearest 10000. -187490000 What is 404125.2982 rounded to the nearest ten thousand? 400000 Round 614.891854 to zero decimal places. 615 What is -0.0029861879 rounded to three dps? -0.003 What is 1.239688723 rounded to 4 dps? 1.2397 What is -27043.3843 rounded to the nearest 10? -27040 What is 0.00120995872 rounded to seven dps? 0.00121 What is 20274716.21 rounded to the nearest one million? 20000000 What is 129.65547574 rounded to 1 decimal place? 129.7 Round 0.0338389688 to 3 decimal places. 0.034 What is 28.42336632 rounded to 0 dps? 28 What is -180428040 rounded to the nearest one million? -180000000 What is 2182242 rounded to the nearest one hundred? 2182200 What is 4735796.3 rounded to the nearest 1000? 4736000 What is 220.0900055 rounded to the nearest 10? 220 Round 0.000137824143 to seven decimal places. 0.0001378 Round 24.29312783 to 0 dps. 24 What is -1660387.34 rounded to the nearest 10000? -1660000 What is -1783976965 rounded to the nearest one hundred thousand? -1784000000 What is 0.3444268545 rounded to 5 dps? 0.34443 Round -0.00634371657 to three decimal places. -0.006 Round -28787112.1 to the nearest ten thousand. -28790000 What is 0.3880202391 rounded to five dps? 0.38802 Round -0.0000095507629 to 5 decimal places. -0.00001 What is 88644.6648 rounded to the nearest ten thousand? 90000 Round -75072.269 to the nearest 100. -75100 Round 3.6102598 to two decimal places. 3.61 What is -0.00024754986 rounded to 6 decimal places? -0.000248 Round -192.476421 to the nearest ten. -190 What is 7.87251263 rounded to one dp? 7.9 What is 393.529703 rounded to the nearest one hundred? 400 What is -261116.143 rounded to the nearest 1000? -261000 Round -0.000236608836 to six dps. -0.000237 What is -216553431 rounded to the nearest 100000? -216600000 What is -7.51627392 rounded to 1 decimal place? -7.5 Round -0.0000417535028 to seven dps. -0.0000418 What is -20.02216642 rounded to one dp? -20 What is -0.24598222 rounded to two dps? -0.25 Round 13.2029498 to 1 dp. 13.2 Round -0.0224716498 to 3 dps. -0.022 Round 0.0004714795576 to six decimal places. 0.000471 What is 1712522.6197 rounded to the nearest 10? 1712520 What is -4917803.77 rounded to the nearest ten thousand? -4920000 Round 119.236926 to the nearest ten. 120 What is 120.3378478 rounded to 2 dps? 120.34 Round -18713.70997 to the nearest integer. -18714 Round -440.41836 to the nearest integer. -440 Round -2459049765 to the nearest 1000000. -2459000000 Round -251794676 to the nearest one million. -252000000 Round 0.14104628 to two decimal places. 0.14 Round 0.0000022785341 to seven decimal places. 0.0000023 Round -77323.561 to the nearest 10. -77320 What is -2249.80435 rounded to the nearest integer? -2250 What is 97.838974 rounded to 2 dps? 97.84 Round -273.83031 to 1 dp. -273.8 What is 60305574 rounded to the nearest 1000000? 60000000 What is 0.135311383 rounded to 4 decimal places? 0.1353 Round 0.54406306 to 2 decimal places. 0.54 Round -84518940.1 to the nearest 10000. -84520000 Round 4.23019604 to three dps. 4.23 What is -1586.910062 rounded to the nearest ten? -1590 Round -325279.201 to the nearest 1000. -325000 What is -4632455.428 rounded to the nearest one hundred thousand? -4600000 Round 304005040.7 to the nearest 10000. 304010000 What is -0.00003517242834 rounded to six decimal places? -0.000035 What is -96462.03652 rounded to the nearest integer? -96462 Round -2061700147 to the nearest 100000. -2061700000 What is 7055054.33 rounded to the nearest one thousand? 7055000 Round 0.62828887 to three dps. 0.628 What is 601.6548965 rounded to 1 dp? 601.7 Round 599807754.6 to the nearest 100000. 599800000 Round 0.001366153326 to seven decimal places. 0.0013662 Round 2304259.45 to the nearest one thousand. 2304000 Round 1006673.25 to the nearest ten thousand. 1010000 What is -0.00011874048342 rounded to 6 dps? -0.000119 What is 13.7822323 rounded to 2 dps? 13.78 Round -9.6152958 to 3 decimal places. -9.615 What is 30180728.9 rounded to the nearest one thousand? 30181000 Round 15501354.36 to the nearest 1000. 15501000 Round -624.5128408 to the nearest 10. -620 What is 10.4227547 rounded to zero dps? 10 What is 51.586679 rounded to 0 dps? 52 What is 2838966.309 rounded to the nearest 100000? 2800000 Round -3240310.856 to the nearest 1000. -3240000 What is 0.00161160698 rounded to 3 decimal places? 0.002 Round 716.29094 to one decimal place. 716.3 Round 1814974.58 to the nearest 100000. 1800000 What is -0.02147460289 rounded to 5 decimal places? -0.02147 Round 6.35659745 to the nearest integer. 6 Round -14.54879 to zero
{ "pile_set_name": "DM Mathematics" }
k in seconds? 67200 What is one quarter of a tonne in kilograms? 250 How many kilometers are there in 21.55318 micrometers? 0.00000002155318 What is 56331.29 millilitres in litres? 56.33129 Convert 0.5897849 nanograms to micrograms. 0.0005897849 What is 357.2839 litres in millilitres? 357283.9 How many tonnes are there in 53852.2g? 0.0538522 How many minutes are there in 10270.26 days? 14789174.4 How many decades are there in 95343.3 millennia? 9534330 How many decades are there in 36.55795 centuries? 365.5795 What is 3/10 of a kilometer in meters? 300 What is seven quarters of a milligram in micrograms? 1750 What is 3/40 of a milligram in nanograms? 75000 Convert 0.0076822l to millilitres. 7.6822 What is 1/10 of a millennium in centuries? 1 Convert 47380.04ug to grams. 0.04738004 What is eighty-seven fifths of a decade in years? 174 What is 1/5 of a litre in millilitres? 200 What is 0.5021129 centimeters in micrometers? 5021.129 What is 194573.259 microseconds in days? 0.0000022520053125 How many kilograms are there in 763.2376g? 0.7632376 Convert 999.0438 nanograms to kilograms. 0.0000000009990438 How many seconds are there in one quarter of a day? 21600 What is 1998.986um in nanometers? 1998986 Convert 76.24694 millennia to years. 76246.94 What is 0.8548136 millennia in months? 10257.7632 What is 9712.302 years in months? 116547.624 How many centuries are there in 39.21832 years? 0.3921832 How many seconds are there in 1/54 of a day? 1600 What is 18.4824153 microseconds in days? 0.00000000021391684375 What is one twentieth of a millennium in decades? 5 Convert 10272.37ml to litres. 10.27237 How many seconds are there in 7/4 of a hour? 6300 Convert 1490132.7 milliseconds to days. 0.01724690625 How many kilograms are there in 141.0072 milligrams? 0.0001410072 How many minutes are there in 250.90218 nanoseconds? 0.000000004181703 How many tonnes are there in 855959.7mg? 0.0008559597 What is 312162.4 kilograms in grams? 312162400 How many meters are there in 25/2 of a kilometer? 12500 Convert 0.9829012 millennia to centuries. 9.829012 How many milliseconds are there in one twentieth of a second? 50 What is nine tenths of a centimeter in millimeters? 9 What is 0.7330761km in meters? 733.0761 How many minutes are there in 44/5 of a hour? 528 How many millimeters are there in 6.632913m? 6632.913 What is 2/15 of a hour in minutes? 8 What is twenty-three sixths of a century in months? 4600 Convert 291060.72 months to years. 24255.06 What is 3/5 of a micrometer in nanometers? 600 Convert 860994.2kg to milligrams. 860994200000 How many years are there in 0.775665 millennia? 775.665 What is three eighths of a minute in milliseconds? 22500 What is 2/125 of a litre in millilitres? 16 How many minutes are there in 1/16 of a day? 90 What is 3/10 of a centimeter in micrometers? 3000 How many nanograms are there in 5/8 of a microgram? 625 How many nanometers are there in seven quarters of a micrometer? 1750 Convert 48.14591mm to kilometers. 0.00004814591 What is three eighths of a tonne in kilograms? 375 How many nanograms are there in 927773.1 grams? 927773100000000 Convert 88.15284m to micrometers. 88152840 What is 11/2 of a litre in millilitres? 5500 How many nanograms are there in 37939.75kg? 37939750000000000 What is 7/2 of a decade in months? 420 What is 17/2 of a gram in milligrams? 8500 What is seven halves of a week in minutes? 35280 Convert 73.4429 decades to years. 734.429 Convert 7403.334 millilitres to litres. 7.403334 How many months are there in 5/4 of a year? 15 What is 0.3393021s in minutes? 0.005655035 What is 2492.3142 months in decades? 20.769285 What is 6/5 of a litre in millilitres? 1200 How many millilitres are there in 23.3936l? 23393.6 How many months are there in 11/4 of a year? 33 How many decades are there in 36.77787 months? 0.30648225 What is 181784.5um in centimeters? 18.17845 How many millennia are there in 545.1066 years? 0.5451066 How many meters are there in one twentieth of a kilometer? 50 What is 27/2 of a gram in milligrams? 13500 How many centuries are there in 44/5 of a millennium? 88 What is 8/25 of a litre in millilitres? 320 How many nanometers are there in 1/10 of a millimeter? 100000 Convert 234452.67ms to minutes. 3.9075445 How many kilometers are there in 640.2986 millimeters? 0.0006402986 How many millimeters are there in 8757.208nm? 0.008757208 Convert 445.347mm to meters. 0.445347 How many grams are there in 20593.81t? 20593810000 How many months are there in 37/2 of a century? 22200 How many centimeters are there in 895.745 micrometers? 0.0895745 What is 434409.381 minutes in weeks? 43.09616875 What is seventy-seven fifths of a kilometer in meters? 15400 What is eighty-seven halves of a tonne in kilograms? 43500 How many minutes are there in 3/10 of a week? 3024 How many millilitres are there in 0.2660381l? 266.0381 How many millilitres are there in 37/5 of a litre? 7400 Convert 6.094973km to millimeters. 6094973 How many centuries are there in 9459.839 millennia? 94598.39 What is one sixth of a day in hours? 4 What is 390.3232ml in litres? 0.3903232 How many litres are there in 610.1585 millilitres? 0.6101585 What is fifty-eight thirds of a century in months? 23200 What is eleven quarters of a millennium in decades? 275 How many micrometers are there in 1.848087km? 1848087000 What is 44/5 of a tonne in kilograms? 8800 How many nanoseconds are there in eleven quarters of a microsecond? 2750 What is eleven quarters of a day in minutes? 3960 How many nanograms are there in seven halves of a microgram? 3500 How many kilograms are there in 743172.2 milligrams? 0.7431722 Convert 0.5719985 millennia to decades. 57.19985 How many micrograms are there in 2561.406kg? 2561406000000 What is 0.989237 micrograms in tonnes? 0.000000000000989237 How many millilitres are there in one tenth of a litre? 100 What is 17/4 of a litre in millilitres? 4250 Convert 8086333.5 minutes to days. 5615.509375 What is 90.12277 litres in millilitres? 90122.77 How many months are there in five sixths of a millennium? 10000 Convert 3.588413 years to centuries. 0.03588413 What is 301.8456l in millilitres? 301845.6 What is 3/10 of a kilogram in grams? 300 What is three eighths of a micrometer in nanometers? 375 What is 0.3440259ml in litres? 0.0003440259 How many kilograms are there in 85/4 of a tonne? 21250 How many tonnes are there in 0.8476463ng? 0.0000000000000008476463 How many litres are there in 4673.186 millilitres? 4.673186 What is 4.110901ns in microseconds? 0.004110901 How many years are there in 0.1279813 centuries? 12.79813 How many micrometers are there in 3322.335 nanometers? 3.322335 Convert 681706.5mg to kilograms. 0.6817065 What is 43/2 of a gram in milligrams? 21500 How many micrometers are there in 3.158126 nanometers? 0.003158126 Convert 501901.9 decades to millennia. 5019.019 How many nanograms are there in 21/8 of a microgram? 2625 How many days are there in 281166.18 hours? 11715.2575 What is 714760.2ml in litres? 714.7602 What is five eighths of a milligram in micrograms? 625 Convert 0.596852 millilitres to litres. 0.000596852 How many years are there in 3/25 of a millennium? 120 Convert 70.09089 meters to nanometers. 70090890000 What is fourty-five eighths of a milligram in micrograms? 5625 What is fifty-four fifths of a meter in centimeters? 1080 What is 0.0498215 millilitres in litres? 0.0000498215 What is 5/4 of a micrometer in nanometers? 1250 Convert 30.17512 nanograms to milligrams. 0.00003017512 How many seconds are there in 4/15 of a minute? 16 How many years are there in 98/5 of a century? 1960 What is six fifths of a tonne in kilograms? 1200 What is 6/5 of a centimeter in millimeters? 12 How many millilitres are there in 42049.81l? 42049810 How many centuries are there in 3/5 of a millennium? 6 What is 17/2 of a millennium in centuries? 85 What is 541968.1 meters in kilometers? 541.9681 What is 65.79355 kilograms in micrograms? 65793550000 How many millilitres are there in six fifths of a litre? 1200 How many millilitres are there in fifty-seven fifths of a litre? 11400 How many milligrams are there in 3/40 of a gram? 75 Convert 31.2943m to kilometers. 0.0312943 Convert 76942.63 litres to millilitres. 7
{ "pile_set_name": "DM Mathematics" }
ase 8. 122277 Convert 102526 (base 10) to base 14. 29514 2262c9 (base 14) to base 4 10131201221 -1132340143 (base 5) to base 11 -1530469 Convert 101220200102 (base 3) to base 7. 1553210 Convert -290931 (base 13) to base 2. -11110100011011101100 What is 33415324 (base 6) in base 11? 632405 Convert -146ba1a (base 14) to base 10. -9943496 13353644 (base 7) to base 8 4566317 621343 (base 8) to base 7 1514145 Convert 205505 (base 8) to base 9. 113763 Convert 19b5d (base 15) to base 12. 40437 -5515 (base 8) to base 14 -10a9 -142441014 (base 6) to base 13 -7b7360 121121222122 (base 4) to base 16 659a9a Convert 140dc (base 15) to base 6. 1213500 What is 1010101112002 (base 3) in base 12? 24a1a8 What is 1663664 (base 8) in base 15? 98bd5 Convert 750042 (base 11) to base 12. 49a968 Convert 22212002121201 (base 3) to base 15. 62e631 Convert -254600 (base 8) to base 3. -11111022212 Convert -201221300232 (base 4) to base 11. -4a85a54 What is -34aab5 (base 13) in base 11? -78565a What is -136ab7 (base 14) in base 9? -1233305 What is -b9a190 (base 14) in base 15? -84389a Convert 1137334 (base 8) to base 11. 1a2731 What is -6264662 (base 8) in base 6? -55410242 Convert 35b53 (base 12) to base 2. 10001101100101111 Convert 829427 (base 11) to base 5. 320031212 Convert -101111100100001111 (base 2) to base 10. -194831 Convert -1540a (base 16) to base 3. -11102102002 Convert -aeeb (base 16) to base 4. -22323223 bb974 (base 13) to base 7 2614056 -112022120221011 (base 3) to base 5 -3421444002 What is -20318148 (base 9) in base 2? -100101001101101111010011 Convert -562442 (base 7) to base 8. -302031 What is 51564030 (base 8) in base 3? 202120201122122 -130935 (base 13) to base 5 -104133131 Convert -100100001011110101101010 (base 2) to base 8. -44136552 Convert -3223212021 (base 4) to base 6. -32403333 Convert 57093 (base 15) to base 7. 2232153 What is 2709719 (base 10) in base 15? 387d2e Convert -1941721 (base 10) to base 4. -13122003121 Convert -245a64 (base 14) to base 9. -2306832 -86a4b (base 13) to base 16 -3b6df 4a943 (base 15) to base 9 402840 Convert -5641417 (base 8) to base 2. -101110100001100001111 Convert 136713 (base 9) to base 6. 1443233 Convert -125006 (base 8) to base 4. -22220012 What is -111333013130 (base 4) in base 2? -10101111111000111011100 12344111314 (base 5) to base 3 1001122101122001 120000221202111 (base 3) to base 6 443132321 Convert -18a00b (base 15) to base 3. -2020212112102 What is 513087 (base 10) in base 14? d4db1 What is 14117034 (base 8) in base 15? 42e0d9 Convert -1052047 (base 9) to base 4. -2022013303 What is -2580998 (base 10) in base 9? -4763415 Convert -2338a47 (base 13) to base 10. -10872505 Convert 49514 (base 10) to base 12. 247a2 What is -10011001000 (base 3) in base 8? -171050 Convert -711642 (base 10) to base 9. -1304163 What is 1143078 (base 9) in base 11? 393070 What is 116215 (base 7) in base 5? 1141001 432166 (base 8) to base 12 6b75a Convert -8b6758 (base 13) to base 5. -1321031303 Convert -50c87 (base 14) to base 7. -1440130 Convert 87ca54 (base 14) to base 4. 101210220002 Convert 51c612 (base 15) to base 4. 32311203113 177420 (base 10) to base 4 223110030 1010010010101001010 (base 2) to base 12 1431a2 -55861b (base 12) to base 9 -2506055 Convert -a323d (base 15) to base 12. -20b157 What is 1a028 (base 15) in base 12? 40a25 What is -1013014 (base 7) in base 3? -20011002211 Convert 401515 (base 8) to base 5. 13210132 434537 (base 10) to base 9 732058 70126 (base 13) to base 2 110000110111000000 162543 (base 12) to base 16 5c283 -4ba157 (base 12) to base 3 -2100001012211 11111011000110001000 (base 2) to base 7 11512336 Convert -15105013 (base 6) to base 14. -d8397 49b43a (base 13) to base 9 3283018 Convert -1eb8b2 (base 15) to base 9. -2746455 10879139 (base 10) to base 14 16329b5 What is -2407649 (base 10) in base 8? -11136341 -30022012322 (base 4) to base 6 -152151122 Convert -101000101101010101100 (base 2) to base 4. -11011222230 Convert 100100020 (base 3) to base 15. 2040 -1103322123 (base 4) to base 9 -573426 What is -54123124 (base 6) in base 7? -16402030 What is -1633720 (base 8) in base 15? -95260 Convert -bc51eb (base 16) to base 2. -101111000101000111101011 1ad871 (base 15) to base 12 532aba What is -1001200020111 (base 3) in base 9? -1050214 Convert 4601aa (base 12) to base 11. 6a5539 What is 21021651 (base 7) in base 10? 1770210 Convert 5d413 (base 14) to base 10. 228553 Convert -43110443 (base 5) to base 15. -72968 Convert -1110001111010000000111 (base 2) to base 13. -a08b95 What is 12122122123 (base 4) in base 16? 19a69b Convert -112919 (base 14) to base 16. -8e75b What is 58a4a (base 13) in base 3? 22020101221 Convert 9e72e (base 15) to base 16. 7b2ae What is 1804d9 (base 16) in base 13? 431630 Convert c9450a (base 13) to base 9. 8786577 What is -201101131 (base 5) in base 2? -11000011010110100110 -1ab39a (base 13) to base 10 -681704 What is -1404556 (base 7) in base 12? -8bb47 642222 (base 8) to base 3 101212202221 -5b9e0 (base 16) to base 13 -101a66 Convert -2b7799 (base 16) to base 11. -1676276 21245 (base 14) to base 9 131701 What is -127a46c (base 15) in base 2? -110010101110101101000110 What is -24a446 (base 11) in base 10? -394510 -1331301210 (base 4) to base 16 -7dc64 2472806 (base 9) to base 14 270d09 What is 4021161 (base 9) in base 4? 20022121213 Convert -42395 (base 10) to base 12. -2064b -942b64 (base 12) to base 16 -2383fc Convert -35742 (base 9) to base 5. -1231213 What is 1087a16 (base 11) in base 5? 441233413 -20010010120 (base 3) to base 14 -31c29 Convert -522010134 (base 6) to base 8. -42420712 Convert -1144553131 (base 6) to base 4. -302000213233 55003a (base 11) to base 4 3112132213 What is -5c0a05 (base 13) in base 6? -115101152 What is -27bac5 (base 13) in base 9? -1735515 86a583 (base 11) to base 6 45444220 What is -12b470 (base 14) in base 8? -2355132 -44660514 (base 7) to base 4 -32303111100 Convert 497707 (base 12) to base 2. 100100011110000110111 What is -33034121 (base 5) in base 3? -112102002222 -98196 (base 11) to base 9 -236602 What is -13209 (base 15) in base 6? -1151213 333041111 (base 5) to base 12 5a2571 What is 2c94a (base 16) in base 10? 182602 What is 5061107 (base 8) in base 13? 37a07c Convert -24c60 (base 16) to base 9. -248550 What is -2340326 (base 8) in base 12? -269a9a -20011220010202 (base 3) to base 9 -6156122 Convert 726776 (base 11) to base 9. 2165751 What is 1a03b (base 14) in base 5? 4102114 Convert -10051255 (base 6) to base 7. -2302655 What is -10428135 (base 10) in base 16? -9f1ee7 107054 (base 9) to base 16 fac9 What is -1022304 (base 12) in base 15? -3ed29d Convert -112d1a (base 15) to base 2. -11001000000111110100 400217 (base 8) to base 14 35b67 What is -19138 (base 16) in base 5? -11241322 -606227 (base 10) to base 11 -384516 What is 191296 (base 10) in base 9? 321361 38019 (base 14) to base 13 4a5c8 Convert -108562 (base 10) to base 8. -324022 Convert 1101232230 (base 4) to base 2. 1010001101110101100 What is -1200002 (base 6) in base 14? -18958 Convert 3012231011 (base 4) to base 9. 1470405 Convert -298b1 (base 13) to base 4. -103020313 20036 (base 14) to base 11 52841 What is -54081 (base 12) in base 16? -1b061 -1313024204 (base 5) to base 14 -6090ba Convert 1090103 (base 10) to base 14. 2053a7 788321 (base 9) to base 15 94c6a What is -41c736 (base 13) in base 11? -963025 131311112323 (base 4) to base 6 435343031 100101101000110011010 (base 2) to base 8 4550632 Convert -81943 (base 12) to base 7. -1302414 What is -2368004 (base 10) in base 16? -242204 Convert -5002353 (base 6) to base 4. -321011331 281a99 (base 12) to base 15 d28ac 2011102111111 (base 3) to base 10 1149997 103220332 (base 4) to base 12 3a67a -100101000101000111001 (base 2) to base 3 -2021201201020 1a73a37 (base 11) to base 5 1343133201 What is -246750 (base 8) in base 14? -2321a What is -113bc0 (base 14) in base 11? -370961 Convert 69a87 (base 13) to base 7. 1432336 What is 22bad (base 16) in base 13? 4c997 Convert -d1078 (base 14) to base 7. -4161211 -3a735c (base 14) to base 4 -13230203212 Convert -717767 (base 8) to base 15. -4a5c4 Convert 34400420 (base 6) to base 3. 1222201212210 -100000100011100100110 (base 2) to base 14 -1daab4 -365606 (base 11) to base 16 -8d352
{ "pile_set_name": "DM Mathematics" }
- 3*h**2 + 2*h - 4. Let f be w(t). Solve n = -f*j - 0 + 8 for j. 2 Let p(m) = -3*m + 27. Let i be p(10). Let d(s) = -s**3 - 3*s**2 - 3*s - 4. Let j be d(i). Solve 0 = l + 4*l + j for l. -1 Let q(s) = 2*s**3 + 2*s**2 - s - 2. Let g be q(-2). Let l(u) = u**3 + 8*u**2 + u. Let n be l(g). Let c be ((-26)/(-6))/(n/(-24)). Solve 5*p + 38 = c for p. -5 Let c(n) = -n - 1. Let x be c(-7). Suppose -27*s + 22*s = -25. Solve -2*k - x = -s*k for k. 2 Let x be (-4)/(-6) + 1/3. Let c = -9 + x. Let u be (-8)/c - (-3 + 0). Solve 0 = u*o + 20 for o. -5 Let t be ((-32)/(-24))/(2/6). Suppose 0 = -5*f - t*f + 27. Suppose -f*l + 9 = -0. Solve -1 - l = -4*u for u. 1 Let b be 1*(-9)/(-9)*0. Solve b*u = 5*u + 10 for u. -2 Suppose 3*w - 2*x - 2 = 0, -3*x + 2 = -4. Suppose 0 = w*s + 4*z - 10, 4*s = 5*z + 1 + 6. Solve h + s*h = 0 for h. 0 Let q be 2/(-5) - 28/5. Let u(y) = -6 + 12*y**2 + 2*y + y - 11*y**2 - 1. Let v be u(q). Solve -3*o - 1 - v = 0 for o. -4 Let c be ((-12)/(-8))/((-1)/(-2)). Suppose 4*t - 78 = d, -c*d = d - 8. Suppose -n - 3*n + t = 0. Solve -n*w - 8 = 7 for w. -3 Let j(s) = -9*s + 1. Suppose 2*q = -o - 2*q + 17, 0 = 5*o - 3*q + 7. Let b be j(o). Let v(g) = -g + 2. Let z be v(b). Solve a - 3*a - z = 0 for a. -5 Let w = -71 - -71. Solve w = 5*b - 10 for b. 2 Suppose -7*x - 32 = -137. Solve 10*z = -15 + x for z. 0 Suppose 9 = 4*b + 3*h - 9, 22 = 4*b + h. Suppose -b*z + 2*z + 3*a = -3, 2 = -3*z - 2*a. Solve z = -0*c + 3*c for c. 0 Suppose 6*j = 20*j - 112. Suppose -2*v = -4*t - j, 5*t = 3*v - 3 - 8. Solve v*k + 9 = -k for k. -3 Let w be 5/10*-2 + 6. Solve -39 = -w*u - 64 for u. -5 Suppose -44*p + 48*p = 52. Suppose -d = -5*x + p + 40, 4*x = -5*d + 25. Solve 3*f - x = 2 for f. 4 Let u be 0*(133/(-14) - -9). Solve z - 8*z - 35 = u for z. -5 Suppose 10*o - 12*o = -3*p + 8, 3*p + o = 14. Let w = 1 + 0. Solve -13 + w = -p*t for t. 3 Let c(w) = -w**3 + 12*w**2 + 14*w - 11. Let u be c(13). Suppose u = 2*b - 18. Solve -y + b = y for y. 5 Let a(x) = 7*x - 80. Let g be a(12). Solve 8*f = g*f - 8 for f. -2 Let m(t) = t**2 + 2*t - 18. Let x be m(0). Suppose 5*v = 2*v - 24. Let i be (-32)/x + v/(-36). Solve -2*p - i + 6 = 0 for p. 2 Let x(j) = -2*j**2 + 19*j - 21. Let l be x(8). Let b(v) = 2*v - 4. Let y be b(l). Solve y*c + 4 = 12 for c. 4 Suppose 0 = -3*j + j + 4*h + 22, -2*j - 4*h - 10 = 0. Let y = 0 + -1. Let u be y + 1 - (j - 7). Solve 14 - u = 5*s for s. 2 Let u be (595/21 + -1)*6/4. Let d = -39 + u. Solve 0 = d*g + g for g. 0 Suppose 0*l = 3*n - 2*l + 1, -3*l = 3*n + 6. Let x be 2 - (0/1 + n). Let u be -1*6/((-6)/x). Solve -u*c - c = -4 for c. 1 Let y(b) = -b + 7. Let s be y(7). Let v be -3 - (-45 - s)/5. Solve 15 = -v*l + l for l. -3 Suppose 580 = 7*c + 559. Solve c*v + 12 = 6*v for v. 4 Let y be (72/(-64))/((-50)/16 - -3). Solve 5*s = 2*s - y for s. -3 Let o(b) = b**2 + 35*b - 3 - 35*b. Let v be o(-2). Suppose 19 - v = 3*w. Solve -4*h + w = 18 for h. -3 Let s = 769 - 391. Solve -s*k + 380*k = -2 for k. -1 Suppose 13*n + 38 = 103. Solve 4*l = -n + 21 for l. 4 Let u = -91 + 94. Suppose 22 = 3*n + 2*o, -20 = -u*n - n + 2*o. Solve 4*r + n = r for r. -2 Let a(k) = -k**2 + 6*k. Let m be a(4). Suppose -y + 6 = 4*q - 20, -5 = -5*y + 5*q. Suppose -5*p + p = s - y, 4*p = 4. Solve -3*d + m = s for d. 2 Suppose 4*j + 2*f + 2 = 3*j, -5*f = 3*j + 4. Suppose -3*z = -2*o + 3, 5*o = -4*z + 6*z + j. Solve o = v + v + 2 for v. -1 Let y(m) = -3*m**2 - 3 + 4 + 1 - 4*m + 5*m - 2*m**3. Let v be y(-1). Solve v = -k - 3*k - 20 for k. -5 Suppose -86 - 607 = -34*t - 115. Let r = 5 - 3. Solve 3*l + t - r = 0 for l. -5 Let m be ((-8)/(-24))/((-2)/(-120)). Solve 0 = -2*x + 6*x - m for x. 5 Let p(o) = -73*o - 27 - o**2 + 85*o + 4. Let f be p(3). Solve w = -f*w - 20 for w. -4 Let o(t) = 2*t**2 - 3*t + 9. Let u be o(0). Solve u*k - 4 = 5 for k. 1 Suppose 0 = -n - 0 - 2, 4*y - 6 = 5*n. Let q(c) = c**3 - 2*c**2 - c + 3. Let v be q(3). Let t be v + (-2 - y)/1. Solve x + t = -x for x. -4 Let v be (1 - 1)*(-2 - -1). Let z(j) = -j**3 + 2*j**2 - j + 2. Let y be z(v). Suppose -y + 9 = 4*c - d, -15 = -3*d. Solve -r - 7 = -c for r. -4 Let s = 14 + -8. Suppose 5*d + s + 3 = -2*p, 5*d = -15. Let t be (-32)/(-2) - p - -4. Solve -4*m = -t + 1 for m. 4 Suppose -o - 5*o = 126. Let c = -11 - o. Solve 4 = -2*d + c for d. 3 Suppose 4*p - 8 = -0*p. Let t(j) = j**2 + 8*j - 13. Let v(u) = 2*u**2 + 16*u - 26. Let y(f) = -9*t(f) + 4*v(f). Let n be y(-9). Solve 0 = -n*h - p - 6 for h. -2 Suppose 0*y + 12 = -y - 5*q, 0 = 3*y + q - 6. Let r be ((-48)/40)/(y/(-10)). Solve -r*h + 0*h = 0 for h. 0 Let g(x) = x**2 + 4*x. Let n be g(-4). Let b(y) = 6*y**2 - 53*y - 9. Let i be b(9). Solve i*h + 3*h = n for h. 0 Let s(o) = -26 - 35 - 12*o + o**2 + 24 + 0*o**2. Let r be s(15). Solve 3*b = r*b + 20 for b. -4 Suppose -2*x - 3*x = 0. Let j be (0 - -3) + 8 + x. Let d = 8 + -3. Solve d*l - j - 9 = 0 for l. 4 Let b(g) = -g**2 - 11*g + 2. Let h be b(-10). Let m be 1/(-4) + 27/h. Suppose 5*f - c - 8 = f, m*c = 0. Solve -5*a - f = 8 for a. -2 Suppose -u - 3 = -3*s, -s = u + 4*s - 13. Solve 0 = -u*n - 24 + 9 for n. -5 Suppose -z = 5*c - 20, 5*z - 6 = 5*c + 4. Let m be (-7)/(21/54)*2/2. Let s be 3*(2 + 6/m). Solve c*d - s - 4 = 0 for d. 3 Let h = -36 + 36. Suppose -4*m - 2*s = -h*s - 24, 3*s + 4 = 4*m. Solve -24 = -m*o - 4 for o. 5 Let n = 9 - 6. Let u be 0 - 3*(-4)/n. Let b = u + -2. Solve -b = j - 0 for j. -2 Let t = -14 + 20. Solve f = 4*f + t for f. -2 Let p(h) = 3*h + 12. Let c be p(-12). Let l = -8 - c. Suppose -26 = -4*s + 3*g, 0*s - 1 = s + 3*g. Solve -s*i + i - l = 0 for i. -4 Let c(y) be the first derivative of 25*y**3/3 - 6. Let b be c(1). Solve 0 = 2*k + 3*k - b for k. 5 Let p be ((-2)/(-5))/((-2 - 1)/30). Let y be (-480)/(-108) - p/(-9). Solve 0 = -b + 2*b - y for b. 4 Suppose -13*f = -15*f + 2*t + 12, 2*f - 3*t = 10. Solve -4*w = -6*w + f for w. 4 Let l = -15 - -40. Suppose 3*m + 3*s = 15, 5*s = -2*m + m + l. Suppose m = 4*z - 5*b - 17, 0 = 2*z - 3*b - 8 - 1. Solve -2*r = -r + z for r. -3 Let p(y) = y**3 + 4*y**2 - 5*y + 5. Suppose 0*f = 2*f + 10. Let j be p(f). Let x(t) = -t**3 + 3*t**2 + 4. Let o be x(3). Solve o*c + j = 1 for c. -1 Let d(j) = -j**2 + 4*j. Let o be d(3). Let q(y) = 4*y - 4*y**2 - 6*y**3 + 5*y**3 + 3 + 2*y**3 - 2*y**o. Let w be q(-5). Solve -3*z + w = -z for z. 4 Let c(j) = j**2 + 16*j + 32. Let l be c(-14). Suppose -l*g = -3*v - 5, -2*v + v = -3*g + 10. Solve g*z - 8 = 3*z for z. 4 Let j be ((-10)/7)/((-13)/182). Let b = j - 19. Suppose -8 = -2*t - 2*t. Solve g = t - b for g. 1 Let j(i) = -i**3 + 7*i**2 + 3*i. Let f be j(7). Suppose 0 = 3*c - f + 3. Solve -c*n + 3*n = 3 for n. -1 Let j be 1 + -5 + -17 + 18. Let o be 2/6*j*12. Let n be (o/(-10))/((-9)/(-45)). Solve -w - w + n = 0 for w. 3 Suppose -7 = -4*v + 5. Let j = 0 - -7. Let g = j + -7. Solve 7*z - v*z + 4 = g for z. -1 Let j(z) = -z**2 + 3*z - 2. Let s be j(2). Suppose a + 1 + 87 = -4*r, r = 4*a + 284. Let o = a + 76. Solve -o*h + s*h = 8 for h. -2 Let g(c) = 3*c - 13. Suppose 4*a + 4*i = 52 + 40, -4*i = -a + 13. Let u = 27 - a. Let x be g(u). Solve x*n + 3 = -7 for n. -2 Let o(i) = 2*i**2 - 49*i + 114. Let r be o(22). Solve 5*m = r*m for m. 0 Suppose 106*x - 108*x = 276. Let r = -134 - x. Solve 5*p - r = 11 for p. 3 Let x = -271 - -338. Solve -x*d - 4 = -71*d for d. 1 Let z(s) = -2*s**3 + 17*s**2 - 10*s + 16. Let x be z(8). Solve x = -4*t - 0*t - 4 for t. -1 Let h(d) = -d**3 + 8*d**2 - 12*d - 1. Let f be h(5). Suppose -35 = -9*i + f*i. Let y(k) = k + 7. Let r be y(i). Solve r*u + 2*u = 0 for u. 0 Let y(i) = 2*i**2 - 16*i + 10. Let f be y(8). Let d(b) = -b**2 - 8*b + 1. Let c be d(-7). Let h = f - c. Solve 3*l = h*l - 5 for l. -5 Let v = -8 - -10. Suppose 0 = -v*a + 5 + 47. Suppose -7*u + a = 2*o - 3*u, 0 = -5*o + 3*u + 13. Solve 4*p - o*p = -2 for p. 2 Suppose -h = 6*h. Suppose 2*p = -0*p + 2. Let w be (-1 - 0)*-1*p. Solve h = 2*x + w - 3 for x. 1 Suppose -5*v = -7*z + 2*z + 110, -38 = -2*z - v. Solve -z = 4*l - 0*l for l. -5 Let s(p) = -3*p + 11. Let j be s(2). Suppose 0 = h + 4*h. Let i be 15*1 + 0 - h. Solve -2*q + j = i for q. -5 Suppose -5*a = t + 8 - 5, t - 5*a = 7. Solve t*u = -5*u for u. 0 Let d(l) = l**3 - 15*l**2 + 5*l - 4. Let o be d(15). Let z = -71 + o. Solve -5*r - 10 = -z*r for r. -2 Suppose -5*r + 6*r = -2*u + 4, -2*r + 5 = 3*u.
{ "pile_set_name": "DM Mathematics" }
10? 310 Let r = -43972 + 109822. Round r to the nearest one thousand. 66000 Let q = 615 + -631.3. Let s = -16.30000234 - q. What is s rounded to seven decimal places? -0.0000023 Let x = 150812 + -311014. What is x rounded to the nearest ten thousand? -160000 Let l = 54.8633 - 2.8503. Let x = -52 + l. What is x rounded to three dps? 0.013 Let w = 61931137260408500 + -61931135732354981.00000195. Let o = w - 1528053447. Let z = -72 + o. Round z to 7 decimal places. -0.000002 Let u be ((-4)/(-4))/(4/556). Let a = 23 + u. Suppose 0 = z + 5*z - a. Round z to the nearest ten. 30 Let q be -4 + ((-9)/6)/(2/(-119657940)). Suppose 0 = 10*w - 8856549 - q. Round w to the nearest one million. 10000000 Let m = -219 - 540. Let r = m + 759.0437. Round r to two decimal places. 0.04 Let f = 238.707 + -226.1139. Round f to zero dps. 13 Let s(x) = x**3 - x**2 - x + 2. Let j be s(1). Let g be j/(-1) + 0 + 97. Suppose 4*c - 315 = 2*b + 19, c + 2*b - g = 0. What is c rounded to the nearest 10? 90 Let n = -185528283.524 - 361473.476. Let j = n - -185889813.0000105. Let t = -56 + j. Round t to six dps. 0.000011 Let r = 16.208 - -0.192. Let z = -15 + r. Let w = z + -1.40000014. What is w rounded to 7 dps? -0.0000001 Let c = 2.076 + -1.9299. What is c rounded to 1 decimal place? 0.1 Let j(o) = 4*o**3 + o**2 + 23*o - 20. Let u be j(20). Let v be (u/6)/(-4*7/84). Let t = -120420 - v. Round t to the nearest 10000. -100000 Let d = -315.6 + 514. Let h = 199.343 - d. Let o = -0.942999126 + h. What is o rounded to 7 decimal places? 0.0000009 Suppose -3*i - i - 337140 = -4*x, 4*x = 3*i + 337135. Let m = x - 44460. Round m to the nearest one thousand. 40000 Let h = -6062268 - -11412348. Let t be (3 + (-822)/24)/((-3)/h). Round t to the nearest 1000000. 56000000 Suppose 0 = 4*c - c + k - 15, 3*c - 27 = 3*k. Let y be c*(-728)/(-16)*-2. Round y to the nearest 100. -500 Let w = 0.33 + -219.33. Let p = 220.17 + w. Round p to the nearest integer. 1 Let x = 686991 + -687031.30169. Let l = -48 + 7.7. Let f = x - l. What is f rounded to 4 dps? -0.0017 Let j = -0.1786 - 10.1033. Let l = j + -1.71924. Let q = 12 + l. Round q to 4 dps. -0.0011 Let f = 40782.29 + -40583. What is f rounded to the nearest ten? 200 Let b = 0.6 + -18.6. Let o = b + 30. Let f = o - 12.0046. Round f to two dps. 0 Let z(p) = -63999*p**2 - 257*p + 772. Let w be z(3). Round w to the nearest ten thousand. -580000 Let s be ((-3)/6)/((-9520342)/(-4760172) + -2). Suppose s = -17*r - 1866557. Round r to the nearest 10000. -180000 Let f = -1014.4 + 474. Let j = 464.74 + f. Let q = -76 - j. Round q to 1 dp. -0.3 Let r(f) = -32 - 35 - 2648*f - 28532*f + 11. Let n be r(-17). Suppose -b = 4*h - n, -2*h - 486574 - 2163424 = -5*b. What is b rounded to the nearest 100000? 500000 Let h = 0.864714 - -0.007006. Let q = 0.87 - h. Round q to 4 decimal places. -0.0017 Let u = -16 + 67. Let j = 17 - u. Let i = -34.023 - j. Round i to 2 decimal places. -0.02 Suppose 0 = 3*k - r - 979528, -6*r - 1306034 = -4*k - 3*r. Round k to the nearest 10000. 330000 Let v = -405 - -1201.5. What is v rounded to the nearest 10? 800 Let p(k) = -736*k**2 + 42*k - 960. Let j be p(17). What is j rounded to the nearest one thousand? -213000 Let g = 31.157 - 31.15672953. What is g rounded to 5 dps? 0.00027 Let t = -143.846085731 - -143.846. Round t to five decimal places. -0.00009 Let a be 14/(-2) + 18/2. Let z(f) = 17024*f**2 + 4. Let s be z(a). Round s to the nearest 10000. 70000 Suppose 2*u - 20842564 = -3*t, t + 10421292 = u - 0*u. Let c = 7111288 - u. What is c rounded to the nearest 100000? -3300000 Let k = -157.859 + 158. Let m = 0.11 - k. Round m to one decimal place. 0 Let d be (6*24/(-18))/((-2)/(-1384809)). Let t = d - 990764. What is t rounded to the nearest one million? -7000000 Let b(i) = -i**3 + 2*i + 2. Let z be b(0). Suppose -2*w + o + 53004 = 0, 5*w = z*w - 5*o + 79480. Round w to the nearest ten thousand. 30000 Let l = -5.1 + 607.1. Let n = 4.4640889047 + 597.5359078253. Let m = n - l. What is m rounded to six dps? -0.000003 Let r = 1.1112642 - -0.7087857. Let w = 1.82 - r. What is w rounded to six dps? -0.00005 Let o(t) = 7*t**2 - 7*t - 1. Let v(m) = 14*m**2 - 16*m - 2. Let k(x) = -9*o(x) + 4*v(x). Let s be 4 - (1 + (-4)/4). Let u be k(s). Round u to the nearest 100. -100 Let g be ((-606720)/1200)/(2/(-520)). What is g rounded to the nearest 10000? 130000 Let t = 5226.37972 + -5227. Round t to 2 decimal places. -0.62 Suppose 13*l - 77 = 53. Let k be 444/54 - l/45. Let m be (-3 + 1873)*8/k. What is m rounded to the nearest 100? 1900 Let x = 18282 - 18282.00000021147. What is x rounded to seven dps? -0.0000002 Let s = -5660 + 5758.312. Round s to the nearest integer. 98 Suppose -2*w - 12 + 16 = 0. Let b be 0/(w/(-2)) + 6118. Suppose b + 13982 = 3*r. What is r rounded to the nearest one thousand? 7000 Let h = 173.5 + -173.498616. What is h rounded to three decimal places? 0.001 Suppose 20*p - 19*p - 12702366 = 0. Let h = p - 6922366. What is h rounded to the nearest one million? 6000000 Let r = -1220.9 - -1296.27. Round r to the nearest ten. 80 Let m = 0.05981 - 0.36128. Round m to one dp. -0.3 Let v = -45 - -44.979. Let q = v + 5.321. Let a = -7.5 + q. Round a to the nearest integer. -2 Let b = 10207.9 + -10258.771. What is b rounded to 1 dp? -50.9 Suppose 1105099 = 8*q + 8*q - 117461. What is q rounded to the nearest 10000? 80000 Suppose 3*m = -3*d + 17001, -2*m + 11542 = 4*d + 206. Suppose -6*i - m = -284. What is i rounded to the nearest one hundred? -900 Let g be (-1026)/162*(-10 - -1). Let k be (-101850)/(-8 + g/6). Round k to the nearest ten thousand. -70000 Suppose 76*j + 28*j - 1249152000 = -88*j. What is j rounded to the nearest one hundred thousand? 6500000 Let g = 2012.4008157 + -2012.4. What is g rounded to 4 decimal places? 0.0008 Let o = 125.9 - 134. Let x = -13.4 + o. Let t = -13 - x. Round t to 0 dps. 9 Let y = 0.255 + -0.25498754. What is y rounded to six dps? 0.000012 Let f = -552 - -627. Let x = -62833.957 - -62759. Let w = x + f. Round w to two decimal places. 0.04 Let n = 57.86 - -18.08. Round n to the nearest ten. 80 Let c = 18191.9991801 + -18192. Round c to 4 dps. -0.0008 Suppose 32*i + 2211999 = 28*i - c, -5 = -5*c. Round i to the nearest 10000. -550000 Let j = 242.7 - 133.11. Let r = -107.3 - 1.7. Let m = r + j. Round m to one decimal place. 0.6 Let r = 5288.7228 - -0.4772. What is r rounded to the nearest 10? 5290 Let g = -471 + -942. Let i = g + 1412.9179. What is i rounded to 3 dps? -0.082 Suppose 0 = 2*v - 6*v - 3*q + 460, 3*v - 345 = 4*q. Let f = 2 + 2. Suppose f*w + 100 = 3*k, -w = k - 4*k + v. What is k rounded to the nearest one hundred? 0 Let q = -0.111783999 - -0.11175. Round q to 7 dps. -0.000034 Let q = 1553.6 - 2308. Round q to the nearest 100. -800 Let x = 116 - 54. Let h = x + -108. Let g = h + 45.86. Round g to 1 dp. -0.1 Let t(g) = 11376*g**3 - 2*g**2 - 6*g + 12. Suppose 3*w = 33*w - 60. Let p be t(w). Round p to the nearest ten thousand. 90000 Let o = -2.6 - 22.4. Let q = 47 - o. Let w = q - 72.0082. Round w to 3 decimal places. -0.008 Let q be (48/(-30))/(2/(-265255)). Suppose -3*b = q - 1171925. Let y = b + -119907. What is y rounded to the nearest 100000? 200000 Let w(p) = 94*p - 327*p**2 - 99*p + 56 - 14. Let v be w(-9). Round v to the nearest one thousand. -26000 Let m = -4505.9952724 - -4506. What is m rounded to three decimal places? 0.005 Let l = -941 + 941.000006792. Round l to six dps. 0.000007 Let z(y) = y**3 - y**2 + 12*y + 591205. Let i be z(0). Suppose 2*n + 0*c + i = 5*c, -5*n - 1478001 = -c. Round n to the nearest 10000. -300000 Let u = -848307 - -2590907. Round u to the nearest 10000. 1740000 Let a(o) = 1599*o**2 + 10*o - 18. Let d be a(3). Let y be -2*(d/(-54) + (-4)/(-18)). Round y to the nearest ten. 530 Let z = -759 + 699.9. Let q = z + 64. Let a = q - 4.996. What is a rounded to 2 decimal places? -0.1 Let f = -450 + 660. Let i = -198.34 + f. What is i rounded to 1 dp? 11.7 Let z = 31301539.99999 + -31301699. Let s = z + 159. Round s to three dps. 0 Let f = 2748506927 + -2748508218.999469. Let d = 1292 + f. What is d rounded to five decimal places? 0.00053 Let v = -34866 - -16669. Let o = v - -18519.07. Let h = o - 324. What is h rounded to 1 decimal place? -1.9 Let o = -47
{ "pile_set_name": "DM Mathematics" }
8, -26, -30, -30, -26? -18 What is the next term in -1553, -1550, -1547, -1544? -1541 What comes next: 91, 183, 275, 367, 459, 551? 643 What is next in 0, 1, 14, 45, 100, 185, 306, 469? 680 What is next in -23, -83, -171, -287, -431, -603? -803 What is next in 37, 208, 503, 928, 1489? 2192 What is next in -286, -294, -302, -310? -318 What comes next: 48, 196, 444, 792, 1240, 1788, 2436? 3184 What comes next: 1408, 2815, 4222, 5629, 7036, 8443? 9850 What is the next term in 41, 104, 167, 230? 293 What is next in -35, -151, -347, -623, -979? -1415 What is next in 153, 581, 1293, 2289, 3569? 5133 What is the next term in -1051, -1049, -1043, -1033? -1019 What is next in -115, -94, -73, -52, -31, -10? 11 What comes next: -84, -142, -202, -264, -328, -394, -462? -532 What is next in 1592, 1593, 1594, 1595, 1596? 1597 What is next in 31, 127, 287, 511? 799 What is next in -65, -127, -199, -287, -397, -535? -707 What is the next term in -32, -25, -10, 13, 44? 83 What is next in 56, 216, 480, 842, 1296, 1836, 2456? 3150 What is next in 8, -24, -78, -154, -252? -372 What is the next term in -531, -1064, -1599, -2136, -2675? -3216 What is the next term in 999, 1004, 1011, 1020, 1031, 1044? 1059 What is next in -30, -315, -1084, -2577, -5034? -8695 What is the next term in 2067, 4132, 6197, 8262, 10327, 12392? 14457 What is next in -36, -37, -38, -39? -40 What is the next term in 7653, 15306, 22959, 30612, 38265? 45918 What is the next term in 185, 739, 1661, 2951, 4609, 6635? 9029 What is the next term in -1568, -3141, -4716, -6293, -7872, -9453, -11036? -12621 What comes next: 1548, 1547, 1544, 1539? 1532 What comes next: -224, -237, -250? -263 What is next in -93, -104, -129, -174, -245, -348, -489, -674? -909 What comes next: -24, 28, 114, 234? 388 What is the next term in -54, -276, -646, -1164? -1830 What comes next: -448, -897, -1346, -1795, -2244? -2693 What comes next: -49710, -49712, -49724, -49752, -49802, -49880? -49992 What comes next: 901, 1799, 2697, 3595? 4493 What is the next term in -893, -893, -895, -899, -905, -913? -923 What comes next: 821, 840, 859, 878, 897, 916? 935 What comes next: 7957, 7955, 7951, 7945, 7937? 7927 What is next in 156, 278, 470, 726, 1040? 1406 What comes next: 1834, 1852, 1882, 1924, 1978, 2044, 2122? 2212 What is next in 805, 3212, 7223, 12838, 20057? 28880 What is next in 2152, 2154, 2158, 2164, 2172, 2182? 2194 What comes next: 53, 68, 89, 116, 149? 188 What comes next: -2197, -4394, -6591, -8788, -10985, -13182? -15379 What is the next term in -4436, -4438, -4442, -4448, -4456, -4466, -4478? -4492 What comes next: 67, 61, 41, 1, -65? -163 What is the next term in 1, 47, 93? 139 What is the next term in -208, -417, -626, -835, -1044? -1253 What is the next term in -80, -158, -234, -308, -380, -450, -518? -584 What comes next: 2169, 2171, 2175, 2181, 2189, 2199, 2211? 2225 What is the next term in -94, -117, -158, -223, -318, -449? -622 What is next in -2, -51, -100, -149? -198 What is next in 1247, 1242, 1225, 1190, 1131? 1042 What is the next term in -91, -95, -97, -97, -95, -91? -85 What comes next: 51, 66, 73, 66, 39? -14 What comes next: 541, 532, 517, 496, 469? 436 What is the next term in 16, 28, 46, 76, 124, 196? 298 What is the next term in 33, 45, 53, 57, 57? 53 What is the next term in 14, 56, 124, 218? 338 What is the next term in 134, 128, 120, 110, 98? 84 What comes next: -7, -31, -51, -55, -31? 33 What comes next: 857, 859, 861, 863, 865, 867? 869 What comes next: -254, -1019, -2294, -4079, -6374, -9179, -12494? -16319 What is the next term in 1013, 1016, 1019, 1022? 1025 What comes next: -19, -30, -31, -16, 21, 86, 185, 324? 509 What comes next: -3, -9, -15, -21? -27 What is next in -81, -379, -875, -1569? -2461 What is the next term in 337, 341, 345, 349? 353 What comes next: -99233, -99232, -99231, -99230? -99229 What comes next: 31, 57, 97, 157, 243, 361, 517, 717? 967 What is next in 10, 25, 36, 43, 46, 45? 40 What is next in -614, -1230, -1846, -2462, -3078? -3694 What comes next: -33, -10, 41, 132, 275, 482, 765, 1136? 1607 What comes next: -118, -129, -140? -151 What is next in 3, 12, 39, 90, 171, 288, 447, 654? 915 What is the next term in 145, 167, 219, 313, 461? 675 What is the next term in -564, -561, -558? -555 What is next in 10, 6, 10, 28, 66? 130 What is next in 39, 66, 105, 162, 243, 354? 501 What is next in -106, -196, -286, -376, -466? -556 What is next in -98, -194, -292, -392, -494, -598? -704 What comes next: 668, 669, 670, 671, 672, 673? 674 What is next in -310, -313, -338, -397, -502, -665? -898 What is next in -29, -63, -99, -137, -177, -219, -263? -309 What comes next: -23, -34, -45, -56, -67? -78 What comes next: -214, -428, -642, -856? -1070 What is the next term in 2, -121, -460, -1123, -2218, -3853, -6136? -9175 What is the next term in 131, 269, 407, 545, 683? 821 What is the next term in -18, -35, -52? -69 What comes next: -84, -112, -168, -258, -388, -564? -792 What is the next term in 27, 60, 143, 300, 555? 932 What is the next term in 12, 0, -38, -102, -192, -308, -450? -618 What is the next term in -147, -305, -465, -627, -791? -957 What is the next term in -97, -99, -101? -103 What is the next term in 5, -6, -33, -82, -159? -270 What is next in 7, 17, 27, 37? 47 What is the next term in -52, -52, -46, -28, 8, 68, 158? 284 What comes next: 265, 251, 237? 223 What is next in 219, 217, 201, 165, 103? 9 What is the next term in 98, 384, 862, 1532? 2394 What comes next: 9, 33, 77, 141, 225? 329 What is the next term in -39, -235, -757, -1767, -3427, -5899, -9345, -13927? -19807 What is next in 25, 56, 85, 106, 113? 100 What is the next term in 288, 291, 298, 309, 324, 343, 366? 393 What is next in 562, 1123, 1686, 2251, 2818, 3387? 3958 What comes next: -33, -32, -31, -30? -29 What is next in -7, -31, -71, -127? -199 What is the next term in 38, 29, 16, -1, -22, -47, -76? -109 What is the next term in -12439, -12440, -12441, -12442, -12443? -12444 What is the next term in -1129, -1127, -1127, -1129, -1133? -1139 What is next in 250, 504, 758? 1012 What is the next term in 311, 622, 933? 1244 What comes next: -44, -101, -158, -209, -248? -269 What is the next term in -37, -105, -235, -457, -801? -1297 What is the next term in 84, 74, 50, 6, -64? -166 What comes next: 72, 83, 94, 105? 116 What is the next term in -121, -253, -387, -523, -661, -801? -943 What is the next term in 51, -80, -299, -606, -1001, -1484, -2055? -2714 What comes next: 57, 77, 111, 159, 221, 297? 387 What is the next term in 72, 60, 48, 36, 24? 12 What is next in 50, 53, 54, 53, 50? 45 What comes next: 1795, 7180, 16155, 28720, 44875, 64620? 87955 What is the next term in 951, 925, 881, 819, 739, 641, 525? 391 What is next in -691, -1327, -1971, -2629, -3307? -4011 What comes next: 2390, 4785, 7180? 9575 What is the next term in -35, -76, -117, -158, -199? -240 What is next in -251, -340, -441, -560, -703, -876, -1085, -1336? -1635 What is next in 29, 64, 85, 86, 61, 4, -91, -230? -419 What comes next: 77, 310, 697, 1238, 1933? 2782 What is the next term in -390, -406, -426, -444, -454, -450, -426, -376? -294 What is the next term in -127, -138, -155, -178, -207, -242, -283? -330 What comes next: -122, -127, -134, -143? -154 What is the next term in -4746, -4748, -4750, -4752, -4754? -4756 What is next in 69, 130, 191? 252 What is next in 36, 107, 176, 243, 308, 371? 432 What is the next term in 109, 121, 133, 145? 157 What is the next term in 170, 163, 150, 131, 106, 75? 38 What is next in 21, 59, 159, 351, 665, 1131, 1779? 2639 What is the next term in 8635, 8629, 8619, 8605, 8587, 8565, 8539? 8509 What is the next term in -1, -19, -53, -109, -193, -311, -469, -673? -929 What is the next term in -108, -231, -354? -477 What comes next: -779, -3134, -7059, -12554, -19619? -28254 What comes next: 272, 283, 294, 305, 316? 327 What comes next: -820, -822, -824, -826, -828, -830? -832 What is next in -9, -9, -19, -45, -93, -169? -279 What comes next: -9421, -9423, -9425, -9427, -9429, -9431? -9433 What is next in -19847, -19846, -19845, -19844? -19843 What is next in -12, -23, -56, -123, -236? -407 What is next in 867, 868, 871, 876, 883, 892? 903 What comes next: -3737, -3749, -3769, -379
{ "pile_set_name": "DM Mathematics" }
when three letters picked without replacement from ccsahschcchac. 1/143 Four letters picked without replacement from vnhinhinihnvvh. Give prob of sequence nihh. 6/1001 Two letters picked without replacement from {q: 10, g: 2, b: 2}. What is prob of sequence bq? 10/91 Calculate prob of sequence bbb when three letters picked without replacement from {b: 3, j: 7}. 1/120 What is prob of sequence yhyh when four letters picked without replacement from {h: 2, y: 8}? 1/45 Calculate prob of sequence kksk when four letters picked without replacement from {v: 1, s: 2, k: 5, e: 1}. 5/126 Three letters picked without replacement from dddllld. Give prob of sequence ldl. 4/35 Three letters picked without replacement from {x: 2, y: 13, h: 3, e: 2}. What is prob of sequence yye? 13/285 Four letters picked without replacement from {m: 1, z: 1, u: 1, c: 1, x: 1}. What is prob of sequence uxmc? 1/120 Four letters picked without replacement from gvfcguuucgcpufuuggv. Give prob of sequence upcu. 5/5168 Three letters picked without replacement from {h: 2, s: 4, z: 3, o: 1, k: 1, p: 1}. Give prob of sequence khp. 1/660 Three letters picked without replacement from hhjjrrrjhhrrfrfhr. Give prob of sequence jjf. 1/340 Four letters picked without replacement from {q: 1, s: 3}. What is prob of sequence ssqs? 1/4 What is prob of sequence eb when two letters picked without replacement from {e: 4, z: 1, w: 2, b: 2, a: 1, t: 5}? 4/105 Three letters picked without replacement from {q: 5, t: 1, g: 2, d: 5, u: 1, b: 2}. What is prob of sequence bqb? 1/336 Four letters picked without replacement from {x: 2, y: 3, b: 1, e: 1, l: 6}. Give prob of sequence xlbe. 1/1430 Calculate prob of sequence uz when two letters picked without replacement from eeebhuzbbeu. 1/55 What is prob of sequence uqa when three letters picked without replacement from qabbooqouqoo? 1/440 Calculate prob of sequence ibi when three letters picked without replacement from {i: 2, b: 4, f: 4, h: 2}. 1/165 What is prob of sequence cy when two letters picked without replacement from mlelycea? 1/56 What is prob of sequence ii when two letters picked without replacement from iiii? 1 What is prob of sequence aap when three letters picked without replacement from {p: 1, a: 3, k: 3}? 1/35 Four letters picked without replacement from gwugnnwclcnn. What is prob of sequence ncug? 2/1485 Calculate prob of sequence hnhm when four letters picked without replacement from {h: 7, m: 5, n: 2}. 5/286 Four letters picked without replacement from {j: 4, y: 2, o: 2, e: 3, n: 2}. What is prob of sequence ojjo? 1/715 What is prob of sequence wiww when four letters picked without replacement from {i: 2, w: 3}? 1/10 Calculate prob of sequence dyvf when four letters picked without replacement from ccfydkvy. 1/840 Four letters picked without replacement from kmkmfmmmcmmmmmcmmmm. Give prob of sequence fmcm. 91/23256 Four letters picked without replacement from brbrbbbrbbrr. Give prob of sequence rbbr. 7/99 Calculate prob of sequence epp when three letters picked without replacement from {e: 6, p: 11, u: 1}. 55/408 Four letters picked without replacement from {d: 4, j: 4, c: 12}. Give prob of sequence jjcj. 4/1615 Four letters picked without replacement from jjjcjjccjjc. What is prob of sequence ccjj? 7/110 Three letters picked without replacement from {a: 7, f: 4, u: 4}. What is prob of sequence afa? 4/65 What is prob of sequence ewe when three letters picked without replacement from wwxlwlxwewwwlxlew? 1/255 What is prob of sequence ni when two letters picked without replacement from {i: 2, n: 2, u: 8}? 1/33 Calculate prob of sequence rmm when three letters picked without replacement from rrrrmmrrmrrrrmrrrm. 65/1224 Four letters picked without replacement from caypppyccy. What is prob of sequence yppa? 1/280 Three letters picked without replacement from xxxooxxxoxxxxxxxoxox. Give prob of sequence xoo. 5/114 Four letters picked without replacement from aaajjaajajjjaajjjaj. What is prob of sequence jjaa? 45/646 Two letters picked without replacement from jjeeyxujeujyye. Give prob of sequence uy. 3/91 Three letters picked without replacement from {p: 1, w: 1, n: 3}. Give prob of sequence nwn. 1/10 What is prob of sequence amd when three letters picked without replacement from {m: 2, a: 2, d: 6, z: 3}? 2/143 What is prob of sequence dv when two letters picked without replacement from {v: 1, o: 3, b: 1, d: 9, e: 2, c: 3}? 1/38 Four letters picked without replacement from {g: 13, f: 6}. What is prob of sequence gfff? 65/3876 Two letters picked without replacement from {q: 1, e: 1, a: 2, y: 2, w: 1, g: 1}. What is prob of sequence yy? 1/28 Three letters picked without replacement from mmmmvmmmvvmmmdmdm. What is prob of sequence mmd? 11/170 Four letters picked without replacement from {d: 3, s: 1, a: 6, w: 2, e: 7}. What is prob of sequence waas? 5/7752 Four letters picked without replacement from {a: 2, k: 3, n: 1, b: 1}. Give prob of sequence kknn. 0 Two letters picked without replacement from gwgpgzpbpgppgzgzwb. What is prob of sequence zp? 5/102 What is prob of sequence egn when three letters picked without replacement from {e: 3, n: 1, g: 1, h: 3, s: 2}? 1/240 Two letters picked without replacement from vdltjjeejltljjjjj. What is prob of sequence tt? 1/136 Calculate prob of sequence gkgg when four letters picked without replacement from gkkgg. 1/10 Three letters picked without replacement from adala. What is prob of sequence lad? 1/20 Three letters picked without replacement from {n: 3, v: 1, z: 2, c: 1}. Give prob of sequence nzn. 2/35 Calculate prob of sequence pu when two letters picked without replacement from {a: 8, p: 5, u: 3}. 1/16 Four letters picked without replacement from xyyuxxxyfxyyxyyuxy. Give prob of sequence yfxy. 49/9180 Two letters picked without replacement from rryyjfryjrfyrrrrry. What is prob of sequence yr? 5/34 What is prob of sequence na when two letters picked without replacement from lffignan? 1/28 What is prob of sequence yntf when four letters picked without replacement from {f: 1, t: 3, y: 2, n: 4}? 1/210 Three letters picked without replacement from {p: 4, n: 4, w: 1, e: 5, q: 5}. What is prob of sequence enq? 50/2907 Two letters picked without replacement from yvziyyyyr. Give prob of sequence vr. 1/72 Three letters picked without replacement from {j: 6, u: 2, x: 3, k: 2, g: 2, o: 2}. What is prob of sequence juu? 1/340 Three letters picked without replacement from odsoodofxdoowowfoo. Give prob of sequence ows. 1/272 Calculate prob of sequence ag when two letters picked without replacement from mremeeamggeaggsggg. 7/153 Calculate prob of sequence nt when two letters picked without replacement from eejnnt. 1/15 Three letters picked without replacement from {b: 5, c: 1, t: 3, h: 6}. Give prob of sequence ttc. 1/455 Calculate prob of sequence vmvg when four letters picked without replacement from mmvgvgvvvvmmm. 5/286 What is prob of sequence ztt when three letters picked without replacement from zvvftfzzzztztzzztt? 5/136 Three letters picked without replacement from {v: 1, z: 2, e: 3, b: 1}. What is prob of sequence ezb? 1/35 Two letters picked without replacement from {r: 6, s: 1, v: 1, d: 4, h: 1}. What is prob of sequence dh? 1/39 What is prob of sequence azq when three letters picked without replacement from qzrrza? 1/60 Two letters picked without replacement from {m: 3, z: 1, y: 4, q: 2, b: 4}. What is prob of sequence mq? 3/91 Calculate prob of sequence jjjq when four letters picked without replacement from qjqjjjsfjyqs. 1/66 Two letters picked without replacement from {x: 2, p: 4}. Give prob of sequence xx. 1/15 Calculate prob of sequence xbxx when four letters picked without replacement from wgwxxyycxbwcbxxxxy. 7/1224 Three letters picked without replacement from {z: 11, h: 1, m: 4, i: 1, r: 2}. What is prob of sequence irr? 1/2907 Calculate prob of sequence pii when three letters picked without replacement from {i: 2, p: 6, f: 2, s: 1}. 2/165 What is prob of sequence dud when three letters picked without replacement from ddduududdu? 1/6 Two letters picked without replacement from {t: 1, k: 6, a: 7, i: 1, h: 2}. Give prob of sequence kk. 15/136 Four letters picked without replacement from {f: 1, q: 2, j: 1
{ "pile_set_name": "DM Mathematics" }
63409 765.95727+-8 757.95727 What is -0.28006 less than 14.404? 14.68406 What is -1.5 - -0.0380959? -1.4619041 Sum -40.023 and 52719. 52678.977 Calculate 20 - 6406226. -6406206 What is the difference between 4180324 and -1.5? 4180325.5 What is -23.8528 less than -65.4? -41.5472 What is the difference between -1039369 and 165? 1039534 Total of 0 and -6827364. -6827364 What is -63927539 minus -0.5? -63927538.5 235.598 - 10234 -9998.402 What is -1.254 + 216397? 216395.746 Subtract -19018 from -104. 18914 Put together 1.3 and -103.69084. -102.39084 Total of 2.611 and 9.72. 12.331 Work out -7795300 + 0.61. -7795299.39 Put together -99 and 119358905. 119358806 Add 1307 and -23513. -22206 What is 14846 less than 1369? -13477 -0.136+11471216 11471215.864 5+-341470.635 -341465.635 What is the distance between 2 and 46.5923573? 44.5923573 Work out -0.281665 + 231. 230.718335 Add together 13044504 and -0.3. 13044503.7 Sum 9.2781 and -1992. -1982.7219 What is 0.97 plus 0.1730897? 1.1430897 What is -0.059529384 minus -6? 5.940470616 0.06821 - -7.6082 7.67641 Calculate -0.242 - -11.3524. 11.1104 Add 0.033286 and -56.086. -56.052714 Calculate -143 + 161181. 161038 Sum -9151791 and -21. -9151812 Calculate -8.3427 + -11. -19.3427 What is -1.83 - 65201985? -65201986.83 Calculate 54.8 + -4395. -4340.2 What is the distance between 0.0765254 and -30194? 30194.0765254 Put together -76.92923 and 886. 809.07077 Total of -114 and 83639. 83525 0.0793 + 19820 19820.0793 Calculate -2773833558 + -0.09. -2773833558.09 What is the distance between 1191 and 0.27993? 1190.72007 Sum 475.27 and -0.6927. 474.5773 Add 0.4 and 1659280014. 1659280014.4 What is -161.73 less than -0.05466? 161.67534 Total of 3183 and -58365. -55182 Add -0.17053831 and -0.2. -0.37053831 Sum -47407 and -0.270787. -47407.270787 What is the difference between -132.38 and -3.761? 128.619 Add -2350364 and -0.4. -2350364.4 What is 0 - 312719.37? -312719.37 What is 649038487 less than -1.9? -649038488.9 What is -8 less than -240940723? -240940715 What is -0.0662 minus 339670? -339670.0662 Work out 21584025 - 3.7. 21584021.3 What is 442949.9777 - 0? 442949.9777 What is -1789.82733 - 0.2? -1790.02733 What is the distance between 35.564 and -20804? 20839.564 Work out 147983098 - 716. 147982382 Total of 0.24 and -723072. -723071.76 What is the distance between -7 and 9554360? 9554367 What is -79321483.99 plus 1? -79321482.99 What is -0.00126601 less than -1357.1? -1357.09873399 What is -0.26 + -6.682387? -6.942387 What is -570137243 less than 8? 570137251 -1713529228 - 0.4 -1713529228.4 Work out -0.0004011 + -645. -645.0004011 -4+-322416.95576 -322420.95576 What is 107778 plus 32342? 140120 6515674 + 1747 6517421 -1657350682 - -3 -1657350679 Calculate -1589 + 6.12943. -1582.87057 Work out -2943 - -0.0210979. -2942.9789021 2438745 + 19.8 2438764.8 Work out 182.225 + -26150. -25967.775 Put together 0.5 and -15231833. -15231832.5 Sum -2321 and 1253812. 1251491 Add -129 and 68348742. 68348613 What is -198.59 take away -0.8526? -197.7374 Sum 28081546 and -0.1. 28081545.9 What is -895621053 take away -67? -895620986 22114802+-5 22114797 What is 13.212 take away 1.54? 11.672 What is 0.395 less than 2292133? 2292132.605 What is 0.041 plus 10604.2? 10604.241 What is 2064385.33 plus -0.1? 2064385.23 Add 450 and -142003.91. -141553.91 Work out -0.5 - -30.569418. 30.069418 Total of -21709.931 and -9. -21718.931 24.06 + -7.05 17.01 Work out -279537 - 0.71. -279537.71 Work out -5.75053198 + -0.1. -5.85053198 Add together -9415.935 and 755. -8660.935 What is 322980 minus 56.6? 322923.4 Sum 1098901389 and -14. 1098901375 -1 - -324674825 324674824 What is 106273 less than 0.8327? -106272.1673 What is 1690065 plus 0? 1690065 Sum 417.409 and 62. 479.409 What is -6.2 minus 5231.721? -5237.921 -54127.8+0.3 -54127.5 Put together 31.00399 and -5. 26.00399 Calculate -2799753.05 - 4. -2799757.05 What is -7 - 10077723819? -10077723826 What is the distance between -0.10248667 and -0.5? 0.39751333 What is -4.3 plus -227384.6? -227388.9 What is the distance between 26 and -53.973693? 79.973693 What is the difference between 21788 and 116365? 94577 Total of -18.6191 and -27251. -27269.6191 What is 16.7 - -782605220? 782605236.7 What is 6 take away 5.42437? 0.57563 What is -4.88268 + 63? 58.11732 What is -4 + 197596022? 197596018 Calculate 2439050.1 + -0.021. 2439050.079 Put together 4 and 8717871196. 8717871200 Sum -321.22234 and 0.3. -320.92234 What is 21 plus -213379.453? -213358.453 Add 0.04471 and -1800. -1799.95529 What is 0.107 plus 166572? 166572.107 Total of -51955 and -3. -51958 Work out -0.07 - -190.539. 190.469 What is -441133 less than 9747? 450880 Put together -0.088135479 and 0.5. 0.411864521 Subtract 21.61614 from -15476. -15497.61614 What is the difference between 13.902 and -480? 493.902 Total of 0.2 and -14807491470. -14807491469.8 What is 3 + -49415395? -49415392 -341+67927 67586 Sum 3 and -624244356. -624244353 Work out 141626 - -12. 141638 Work out -40549 - 3.08. -40552.08 -0.383 - 28327655 -28327655.383 What is -38267.04 take away 0.2? -38267.24 What is -1.361 plus 4.6529279? 3.2919279 What is 0.143 minus 41713971? -41713970.857 -0.3 + 2568751685 2568751684.7 Calculate -25 + -5.7129889. -30.7129889 What is 11.586 take away 10102? -10090.414 What is 24793446 less than -0.03? -24793446.03 4627474 + -1.4 4627472.6 Add -832 and -10148. -10980 Work out 1.40211 + -0.88. 0.52211 Add together -8 and 9364765. 9364757 Work out 0.1 + -111261300. -111261299.9 Calculate -0.3 - -79.81264. 79.51264 What is the difference between -0.060324 and 70? 70.060324 Work out 0.4 - -21464156.68. 21464157.08 Work out -0.25 + -1.55672. -1.80672 What is 22805668 plus -125? 22805543 What is the distance between 5908442302 and 0.09? 5908442301.91 Work out 755897 - -0.08. 755897.08 -1.5724093 - -15 13.4275907 What is -13576.108 - 0.2? -13576.308 Work out -265.386 + -1.71. -267.096 Put together -6.764296 and 201. 194.235704 Work out 725 + -17.094293. 707.905707 What is the difference between 0.0544 and -1522699? 1522699.0544 -121542 - 0.1113 -121542.1113 What is 23.1425 take away -438? 461.1425 What is -1667601 - -0.952? -1667600.048 Calculate -1.08 + -0.60093. -1.68093 What is 3.21 - 1745.6? -1742.39 What is -2356879 plus 0.25? -2356878.75 Sum -0.0658419253 and -1.4. -1.4658419253 What is 30890 + 424153? 455043 What is 6339 less than 460.582? -5878.418 What is -34782 + 16.96226? -34765.03774 -21438350 + 340 -21438010 What is -11.73288 plus 2.75? -8.98288 Sum 0 and 7788839752. 7788839752 What is the difference between 195239191 and 0.3? 195239190.7 Sum 59673 and -0.112. 59672.888 Calculate 34.031 + -3289. -3254.969 Sum -6 and -2170588. -2170594 Sum 11852396929 and -0.1. 11852396928.9 Put together -1.2128890782 and 5. 3.7871109218 Sum 2374320 and 0.245. 2374320.245 What is -28638 + -10.223? -28648.223 What is -211.3477 take away 832? -1043.3477 What is -47093 less than 89.7? 47182.7 -396728542+-1 -396728543 Sum -0.3 and -0.067130745. -0.367130745 What is -0.1791851 minus 0.532? -0.7111851 What is 2 less than -0.0488376? -2.0488376 -1+8.797672729 7.797672729 Work out 113391008 - 0.015. 113391007.985 -118.3153556 + -2 -120.3153556 Sum 1.53 and -102688. -102686.47 Subtract 0.6408106 from -4. -4.6408106 -0.121787 - -182 181.878213 Subtract 345241009 from -0.1. -345241009.1 -7752 + 280 -7472 -0.496 + 0.096333 -0.399667 -754+-0.062942 -754.062942 Work out -40674494.2 + 16. -40674478.2 Work out 40902.595 + 27. 40929.595 What is -1744771 plus -253? -1745024 Add 0.057 and 45916.14. 45916.197 Total of -29 and -0.059577. -29.059577 Work out 78649.1 + 0.3. 78649.4 Put together 24559 and -1688. 22871 Work out -150585.11 - -0.2. -150584.91 What is -7689.3 - 433959? -441648.3 Add together 26006463 and 0.1. 26006463.1 Put together -84199046 and -5. -84199051 Total of 1547245663 and 0.08. 1547245663.08 Sum 3 and 1506565089. 1506565092 What is -24 take away 0.1191754? -24.1191754 -2 - 6445114 -6445116 Total of 1.4 and 818638. 818639.4 What is -0.5 + 46.6936289? 46.1936289 What is 0 less than -103816.697? -103816.697 What is the distance between -127048087 and -0.2? 127048086.8 What is 110 take away -4141137? 4141247 Work out 0.2 - -91516369. 91516369.2 Total of -1.1
{ "pile_set_name": "DM Mathematics" }
08 + 2.92. Put -0.3, v, -2, u in descending order. u, v, -0.3, -2 Let q(y) be the first derivative of -y**2/2 + 4*y + 2. Let m be q(7). Let a = -404 + 399. Sort 4, a, m. a, m, 4 Suppose 0 = -5*m + 11*m. Suppose m = 7*b - 2*b + 10. Let u(k) = -k - 4. Let g be u(-7). Put g, b, -3 in decreasing order. g, b, -3 Let m be 51/(-9) + (-14)/(-21). Sort -6, 0, m, 4. -6, m, 0, 4 Let a(n) be the first derivative of -n**4/4 - n**2/2 + 14*n - 5. Let l be a(0). Let y = l - 15. Sort 5, y, 3 in descending order. 5, 3, y Let m = -11 - -11. Suppose l + 16 = -m*h - 3*h, 0 = 5*l + 5*h + 30. Suppose 0*i - 2*i - 4 = 0. Put l, -5, i in descending order. l, i, -5 Let g(z) = z**3 - 6*z**2 + 4*z + 1. Suppose 0 = -4*x + 3*w + 23, -2 = 4*w + 2. Let n be g(x). Let o = 97 - 102. Put o, n, 1 in increasing order. o, n, 1 Suppose -52*c - 5 = -57*c. Put c, -5, 85, 0 in ascending order. -5, 0, c, 85 Let d(t) = 2*t**3 + 10*t**2 - 2*t - 5. Let b = 9 + -14. Let a be d(b). Sort a, 1, -4 in descending order. a, 1, -4 Let o be 14*1*10/20. Suppose 0 = -o*r + 12*r - 15. Put r, 7, -5, 4 in increasing order. -5, r, 4, 7 Let j = -39 + 42. Suppose 0 = -2*d - j*c - 3, -d - 8 = 3*c - 2. Sort -3, d, 7 in ascending order. -3, d, 7 Suppose -4*l = -5*v + 34, v - 52 + 54 = 0. Sort -4, l, -2, 0 in decreasing order. 0, -2, -4, l Suppose 3*w + 16 = 7*w. Let s = 1 + w. Let i = 2.6 - 4.6. Sort s, i, 0.3. i, 0.3, s Let a = -81.948 + -0.052. Put a, -4, 2 in increasing order. a, -4, 2 Let u = -19 - -22. Suppose -u*y - 2*s - 2*s + 11 = 0, 4*s = -2*y + 6. Suppose -y*x - 10 = -15. Sort -5, x, -4 in ascending order. -5, -4, x Suppose -2 = -2*a - 0. Let u = -30 - -19. Let j = 10 + u. Put 3, a, j in increasing order. j, a, 3 Suppose -a = 3*w + 2, -31*w = -4*a - 27*w + 24. Suppose 0 = -7*x - 12 - 16. Put a, x, 1, -5 in descending order. a, 1, x, -5 Let r = -142 + 143. Put 3, r, -3, -4 in decreasing order. 3, r, -3, -4 Let o(s) = s**3 - 7*s**2 - 2*s + 14. Let p be o(7). Suppose 7*b - 16*b + 18 = p. Put b, -3, 1 in increasing order. -3, 1, b Let f = 127/366 - 11/61. Suppose 280 = -2*x - 3*x. Let z = 223/4 + x. Sort 5, f, z in decreasing order. 5, f, z Let b = -1340 + 1334.992. Let q = -0.008 - b. Sort q, 3, -0.3, 2/21 in decreasing order. q, 3, 2/21, -0.3 Let k(x) = -3*x**2 - 5*x + 2. Let a be k(-5). Let t = a - -52. Sort 1, t, -5. -5, 1, t Let q be 4 - 0 - (2 - 0). Suppose -6*y = -2*y - 0*y. Let s(p) = p**2 + p - 2. Let m be s(y). Sort -1, m, q in descending order. q, -1, m Let w = -12.8 - -12.7. Let k = 0.02 - 5.02. Sort -3, w, k. k, -3, w Let t(d) = d**3 - 7*d**2 + 7*d - 1. Let g be t(6). Let w = g - 7. Let r be 2 + -2 + (-5)/(-1). Put r, w, 1 in decreasing order. r, 1, w Suppose -4*r + 3 = 5*u, 0*r = 3*r - 2*u - 8. Let h = 120 + -124. Let t = -63 + 62. Sort r, t, h in ascending order. h, t, r Let j = -157/672 - 5/96. Sort 0.3, j, 1, -3/7. -3/7, j, 0.3, 1 Let p be 0 + -1*4/(-2). Let m(z) = z**2 - 12*z - 87. Let l be m(17). Put p, 22, l in increasing order. l, p, 22 Let g(x) = 6*x**3 - 91*x**2 + 14*x + 20. Let d be g(15). Let k = -6 - -3. Put d, k, -8 in decreasing order. d, k, -8 Let t(u) = u**2 - 5*u + 2. Let k be (2 - 1) + (-12)/(-4). Let p be t(k). Let j = 43.5 + -43.6. Put -1/2, j, p in ascending order. p, -1/2, j Let d(p) = p - 2. Let s be d(0). Let n be s/(-1) + (-234)/(-18). Put n, 2, -3 in descending order. n, 2, -3 Let r = 0.02 + -2.7. Let d = -2.7 - r. Let g = 38 - 39. Put g, d, 0.5 in descending order. 0.5, d, g Suppose 0 = 4*r + 69 + 27. Let a be 10/r*((-34)/10 + 3). Sort 1, a, -2, -0.2 in ascending order. -2, -0.2, a, 1 Let n = 2.1 + -1.1. Let b = -24 - -21. Put b, n, -2/5 in decreasing order. n, -2/5, b Suppose -4*o + 16 = 2*d, -o + 0*o - 1 = 3*d. Let f(i) = i**2 + 9*i + 8. Let b be f(-7). Let n be 42/(-8) + b/(-24). Put 4, d, n in ascending order. n, d, 4 Let s = -3216 + 3215. Let q = -156 - -621/4. Sort q, 2/5, s, -2/5 in decreasing order. 2/5, -2/5, q, s Suppose -4*z - 9 = -7*z. Suppose 9 = 2*m - z*m. Let t be (-4)/(-10) + m/(-15). Sort t, -2, -1. -2, -1, t Let t = 957 + -956.9. Put t, 5, -186, 2 in descending order. 5, 2, t, -186 Let b = 3.9876 + 0.0124. Sort -1, 5, -13/21, b in increasing order. -1, -13/21, b, 5 Suppose 4*i = 5*c - 57 - 3, -c + 2*i = -18. Suppose -c = -s - 13. Sort 4/5, s, 2/15 in descending order. 4/5, 2/15, s Suppose -4*w + 2*p = -3 + 1, -p + 9 = 3*w. Suppose -3*y = t - 7, 0 = -3*y + 7*t - w*t + 1. Suppose -15 = q + y*q. Sort -4, q, -1 in increasing order. q, -4, -1 Let j = 105 + -107. Put -3, j, -12 in decreasing order. j, -3, -12 Let c(b) = b**2 - 7*b + 9. Let l be c(7). Let r be (4/(-10) - (-2)/5)/(-1). Put r, -5, -3, l in descending order. l, r, -3, -5 Let o = -1635 + 1638. Sort o, -1, -73 in ascending order. -73, -1, o Suppose -3*n = -7*j + 2*j + 12, 2*n - 5 = -j. Let w(q) = 5 + q**2 + 12*q + 5*q - 10*q. Let t be w(-7). Sort t, 3, n. n, 3, t Let u = 0.03 + 18.97. Put -2, -2/7, u, -3 in descending order. u, -2/7, -2, -3 Suppose -4*t - 19 - 401 = 0. Let j be 1/t*(-122)/(-6). Let v = -1/35 + j. Put 1, 5, v in ascending order. v, 1, 5 Let q = -136 - -88. Let o = 47.6 + q. Sort 6, o, 2 in decreasing order. 6, 2, o Suppose 3*n - 63 = 2*n. Let d be 4/(-18) + (-271)/n. Let a = d - -14/3. Sort -4, a, 3 in descending order. 3, a, -4 Let l = -62 + 94. Suppose l = -5*v - 3*g, -g + 1 = -2*v - 3. Put v, 0, -2 in decreasing order. 0, -2, v Let x(v) = v**3 + 5*v**2 - 4*v + 7. Let m be x(-6). Let p be ((-3)/(-15))/(4/(-5)). Sort m, p, -3 in ascending order. m, -3, p Let n = -3.2 - 6.9. Let h = -0.1 - n. Let d = h + -10.2. Sort 2/5, 6/11, d in increasing order. d, 2/5, 6/11 Suppose 5 = a - 5*x, 3*a + 30 = -4*x + 7. Put 124, a, 0.5 in increasing order. a, 0.5, 124 Let j be (-372)/180*5 - -11. Sort j, 1, -7, -0.5. -7, -0.5, j, 1 Suppose -2*m - 11 = -3. Let l be ((-1)/(-18))/(m/(-8)). Put 4, 5, l in decreasing order. 5, 4, l Suppose 3*k + 7 + 5 = 0, 2*p + 28 = -5*k. Suppose 11*h - 2*h + 18 = 0. Put h, p, -3 in increasing order. p, -3, h Suppose -5*c + 2*h + h = -800, 3*c = 4*h + 480. Let b = 112 - c. Let y be (b/4)/4 + -1. Put 1, y, 0 in descending order. 1, 0, y Let o be (-108)/(-12)*2/6. Let t be -1*o/6*0. Sort -2, 4, t in increasing order. -2, t, 4 Suppose 0 = -d - 8 + 11. Suppose d*k = -2*z + 21, -k + 3*k - 4*z = -2. Let a = -4.1 - 0.9. Sort k, a, -1/4 in increasing order. a, -1/4, k Let n(w) = -w**3 - 10*w**2 - 12*w - 31. Let v be n(-9). Sort -0.2, v, 1, -0.3 in descending order. 1, -0.2, -0.3, v Let c(o) = 2*o - 12. Let k = -22 - -27. Let f be c(k). Let h = 0 - 0. Sort h, f, -6 in descending order. h, f, -6 Let k(q) be the third derivative of -q**4/24 + q**3/6 + 14*q**2. Let g be k(5). Put -4/9, g, -2 in descending order. -4/9, -2, g Let i(x) = -3*x**2 + 18*x - 19. Let f be i(6). Sort 4, 1, f, -2. f, -2, 1, 4 Suppose -2*w = -4*w. Let b(o) = -o**3 - 4*o**2 - 2*o - 12. Let h be b(-4). Sort 15, h, w in ascending order. h, w, 15 Let v be (2/(-20))/(-49 + 53). Sort v, -2/3, -2/5 in descending order. v, -2/5, -2/3 Let f = 1126 - 5629/5. Sort 5, -5, f, 0.5 in increasing order. -5, f, 0.5, 5 Suppose -4*k + 44 - 4 = 0. Sort 1/5, -1, -5, k. -5, -1, 1/5, k Let p = -0.4471 + 0.1471. Put 417, p, 2 in increasing order. p, 2, 417 Let a be -5 + ((-12)/138 - 1463/(-161)). Sort a, 0.2, -1/417. -1/417, 0.2, a Let a = -300 + 297. Sort a, 2/17, 5, -1.8 in decreasing order. 5, 2/17, -1.8, a Let o(s) = -s + 11. Let x be o(13). Suppose -4*v = -2*v. Let h = v + -3. Put x, -4, h in ascending order. -4, h, x Let q = 15 - 20. Let d be -2*(-1)/(-6)*-9. Suppose 2*i + w = -0 - 3, d*i - 3*w = 9. Sort 2, i, q in decreasing order. 2, i, q Let m = -0.4 + 0.3. Let l = 1522 - 1522. Put m, -0.5, 1, l in ascending order. -0.5, m, l, 1 Let b = -1 - -4. Let j = 1720 - 1725. Sort j, -4, b in increasing order. j, -4, b Let q = 799 - 796. Sort 2, -0.08, 0, q in decreasing order. q, 2, 0, -0.08 Let s(r) = -3*r**2 + 4*r + 73. Let f be s(7). Sort -4, 1, -5, f. f, -5, -4, 1 Let z = 2 - 2.2. Let l = 0.044 + -0.074. Sort z, l, -2 in decreasing order. l, z, -2 Let j = 6 + 8. Let m = j + -17. Let k = 0.054 - -0.146. Put m, -1/3, k in increasing order. m, -1/3, k Let u(r) = 3*r - 18. Let i be u(10). Let d be (-16)/(-12)*3/i*42. Put 4, d, -5 in ascending order. -5, 4, d Suppose 2*a + 2*o + 4 = 0, -5*o = -28*a + 26*a + 10. Put -1, 5
{ "pile_set_name": "DM Mathematics" }
+ 44. Which is the fourth biggest value? (a) -3/4 (b) 2 (c) k (d) 3 a Let c be 1/(-5)*(6 - (0 + 5)). What is the third biggest value in -1, c, 8? -1 Let a = -0.2 - -0.6. Let c = 0 + a. Suppose -k + 3*y - 8*y = -15, -5*y + 20 = 0. What is the biggest value in 5, k, c? 5 Let s = -40 + 38. What is the fourth biggest value in -2/23, -0.1, 1/5, s? s Let c be (-30166201)/105 - (-2)/7. Let d = 287654 + c. Let j = d - 357. What is the biggest value in -0.4, 1, j? 1 Let l = 38 + -54. Let z = l - -16.4. Let t be 0 - (-1 - 0)/1. Which is the biggest value? (a) -2/7 (b) z (c) t c Let n be (6/(-225))/((-1)/5). Which is the biggest value? (a) n (b) -4 (c) -3 (d) 0 a Let f = 3.6 - 0.6. Let s = -217/4 - -55. Let k(m) = m**2 - m + 1. Let l be k(1). What is the smallest value in f, l, s? s Suppose -3 = -s - 0*s. Let f = 83 + -745/9. Which is the second biggest value? (a) f (b) s (c) 0.3 c Let z = 70/3 - 24. Let f be (-5)/((-1050)/(-8))*24. Let s = f - -5/7. What is the second smallest value in s, z, 1/5? s Let n = -0.088 - 0.412. Which is the biggest value? (a) 1 (b) 0.67 (c) n a Let h = 0.486 + 0.014. What is the biggest value in h, -1, 3? 3 Let j = -5 + 7. Let i = 2.97 + 1.03. Which is the second smallest value? (a) 5 (b) i (c) j b Suppose -9*x + 10*x - 6 = 0. Which is the biggest value? (a) 0 (b) 4 (c) x c Let y = 8.515 - 8.7. Let x = y + -1.845. Let i = x - -0.03. What is the third biggest value in i, -5, 2/5? -5 Let d = 71 + -71.4. What is the smallest value in d, -0.1, 0.3, -1? -1 Let y be (-2)/7 + 133/294. What is the smallest value in -4, 0.2, y? -4 Suppose 6*w - 10 = 14. Let t(r) = -r**2 - r. Let v be t(0). Let l = 2/377 - -732/4147. Which is the third smallest value? (a) l (b) w (c) v b Let w = -5.4 + 9.5. Let g = -0.9 - w. Let i = g + 3. Which is the second smallest value? (a) 1/2 (b) -4 (c) i c Let s = 5 + -8. Let o = -4724/7 + 671. Let l = 4 + o. What is the smallest value in s, 5, l? s Let y = 358/7 - 51. Let d = 7 - 3. What is the third smallest value in 1/9, d, y? d Let u = -4 + 5. Let h = 3 + u. Which is the third smallest value? (a) h (b) -4 (c) -0.5 a Let m = 206/5 - 41. Let f = -12/13 - -58/91. What is the second biggest value in 1/4, m, f? m Let z be 51/(-78) + (-5)/(-10). Let r(o) = -2*o + 6. Let k be r(5). Let l be (-2 + (-2)/k)*2. Which is the second smallest value? (a) -1 (b) z (c) l a Let r be 7*2 - (5 + -1). Let o = -6 + r. Which is the second biggest value? (a) -3 (b) o (c) 0 c Let f = 0.15 - 1.75. Let q = f - -4.6. What is the biggest value in -0.2, -1/2, q? q Let s = 9 + -8.99. Let q = 0.41 - s. Let t = -1.1 + 1. Which is the biggest value? (a) q (b) t (c) 0 a Let a = -10 - -6. Let x = a + 4.3. What is the second smallest value in x, -1/3, 5/6? x Suppose 2*j = -3*o + 27, 2*j + 2*o = -0*j + 30. Let d be ((-2)/12)/(4/j). Which is the third smallest value? (a) -5 (b) -2/9 (c) d b Let h = 1.7 + -1.1. What is the smallest value in h, 1/9, 0.3? 1/9 Let z = -1 - -0.7. Let o = 0.6 + z. Let s = -5 + 3. Which is the second biggest value? (a) o (b) s (c) -1 c Let g = 9 - -8. Let l = 17.1 - g. Which is the third biggest value? (a) 3 (b) l (c) 4 b Let t = 215/7 - 31. What is the second smallest value in 3/11, -2, t? t Let u be (-21)/12 + (-5)/(-20). What is the third smallest value in -0.4, 2, u? 2 Let j be 88/(-42) + (-4)/(-2). Suppose 13 = 7*r - 1. Which is the biggest value? (a) -1/7 (b) j (c) r c Let m = -7.1 - -2.1. Which is the second smallest value? (a) m (b) -3 (c) 0.3 b Let t be (-2)/3*6/8. Let j(s) = s**3 + 6*s**2 - 3*s - 6. Let i be j(-6). Let l be 14/i + (-1 - 0). Which is the third biggest value? (a) 0.5 (b) t (c) l b Let l = -8 + 10. Let z = 2 - 1. Let p be ((-3)/(-6))/z*-2. Which is the biggest value? (a) p (b) l (c) -3 b Let s = 1 - 1.5. Let v = -7.9 - -7.7. What is the second smallest value in s, -2, v? s Let v(r) be the first derivative of r**4/4 + r**2/2 + 4*r - 4. Let l be v(0). Which is the second biggest value? (a) l (b) 1/4 (c) 0 b Let x(h) = h - 20. Let j be x(10). Let f = 7 + j. Let g = 0.9 + -1.9. Which is the third biggest value? (a) -2/15 (b) f (c) g b Let o = 3 - -1. Let j = -2.4 - 3.1. Let l = 5 + j. What is the biggest value in l, 2, o? o Let f be ((-8)/(-70))/((-4)/10). What is the second smallest value in 3/5, f, 0? 0 Let z = 0.38 + 0.02. Let g be (3/11)/((-3)/2). What is the third biggest value in g, z, 0.2? g Suppose -3*l = -2*l - 2. Suppose -l = k - 5. Let g be (-12)/16*(-1)/k. Which is the third smallest value? (a) g (b) 0 (c) 5 c Suppose -3*s - 10 = 4*k, 0 = 2*k + k - 3*s + 18. Let q be (-3 - k)/(-2 + 0). What is the third biggest value in 4, 0.5, q? q Let z = 166 + -1325/8. Let i = -3.2 - -0.2. Which is the biggest value? (a) i (b) -7/4 (c) z c Suppose 0 = -14*r + 9*r - 25. Which is the third biggest value? (a) r (b) -4 (c) -2 a Let h = -7 - -7.7. Let j = h - 0.5. Let m = 0.2 + -5.2. What is the biggest value in j, -3/2, m? j Let r = -42 + 39. What is the second smallest value in r, -4, -2? r Let u = 26 + -36. Let p = 10.5 + u. What is the biggest value in p, -1, -5? p Let h = -0.5 - -0.8. Let x = -0.8 + h. Which is the second smallest value? (a) 2 (b) -0.2 (c) x b Let i = -25852/5 - -5302. Let w = 131 - i. Which is the smallest value? (a) w (b) 0.3 (c) -4 c Let l be -2*1 - (-126)/4. Let x = l - 30. What is the third biggest value in x, 2, -2/9? x Let k = -0.29 - -13.29. Let w = 13.3 - k. Which is the biggest value? (a) w (b) -0.3 (c) 4/7 c Let l = 2 + -3. Let w = -5.6 + -0.4. Let i = 2 + w. What is the second biggest value in i, l, 2/5? l Suppose 5*s + 4*m + 64 = 19, 2*s + 3*m + 25 = 0. Let f = s + 15. Suppose -2*d + 0 = f. Which is the second smallest value? (a) 2/11 (b) d (c) 3/2 a Let n be -1 + 0 + 1 + -2. Let w = 1 - 1. Which is the third smallest value? (a) w (b) n (c) 4 c Let p = -9 - -11. What is the third smallest value in p, -3/8, -2/9? p Let g = 0.8 - 1.2. Let d = -0.1 - g. What is the biggest value in 3/7, d, -0.3? 3/7 Let z = -3.1 + 2.2. Let g = -1 - z. Let f = -1.1 - -0.8. Which is the biggest value? (a) g (b) f (c) 3/8 c Let u = -25 - -25.2. What is the third smallest value in -2/5, u, -2? u Let n = 0.45 + -0.65. Let j = -4/7 - -34/35. Which is the smallest value? (a) j (b) -3 (c) n b Let f = 21 - 19. Let m = -1.3 + 1.35. What is the biggest value in f, -0.5, m? f Let y = 0.1 - -0.9. Let k = y - 2. Let p = 49 - 193/4. Which is the third smallest value? (a) 0 (b) p (c) k b Let v = 2.13 + 0.27. Let q = -2 + v. Which is the third biggest value? (a) -0.4 (b) -2 (c) q b Let a = 0.15 - 0.2. Let w = 3.05 + a. Let h be 15/(-72) - 1/(-3). What is the smallest value in 5, w, h? h Let o = 1 + -6. Which is the second biggest value? (a) o (b) -2 (c) 0.3 b Let x be ((-18)/(-8) - 1) + 6/(-24). Let p = 0.08 - -2.92. Which is the biggest value? (a) 2 (b) p (c) x b Suppose d + 324 = -2*d. Let g = d + 320/3. Which is the smallest value? (a) 3 (b) -1/5 (c) g c Let q = 0.6 - -0.4. Let p = 0 + q. Which is the smallest value? (a) p (b) 0.4 (c) 0.2 c Let g be ((-12)/(-15))/(78/15). Which is the fourth biggest value? (a) -0.4 (b) g (c) -3 (d) 3/7 c Let z = 0.37 - 0.27. Which is the smallest value? (a) z (b) -5 (c) 0.2 b Suppose 5*i - 2*h = 21, -6*h - 27 = -5*i - 2*h. Which is the second smallest value? (a) 7 (b) i (c) 2/9 b Let y = -0.06 + -1.94. Let t = 1.3 + -0.3. Let j = y + t. Which is the second biggest value? (a) j (b) 0 (c) 2 b Let l = -0.16 + -6.84. Let k = 10 - 12. Let m = k - l. What is the biggest value in -4, -0.5, m? m Let b = 33 + -67/2. Let q be (4/10)/((-6)/(-20)). Let m = 55/188 - 2/47. What is the smallest value in b, m, q? b Let t = 0.2 + -0.4. Let m = 219/28 + -33/4. What is the smallest value in t, m, -4? -4 Let d = 10.1 - 10. Which is the second smallest value? (a) 5/4 (b) d (c) -2 b Let j be (-22)/(-30) - (-2)/(-5 - 1). What is the biggest value in -1/7, j, 3, 0.3? 3 Let p(o) be the third derivative of o**5/60 - o**4/4 + 5*o**3/6 - o**2. Let x be p(4). Which is the second biggest value? (a) -4 (b) 4 (c) x c Let y be -2 + (-10)/(-3) + -1. Suppose 0 = 3*x - 12. What is the smallest value in -1/3, y, x? -1/3 Let x = -18 - -17. What is the second smallest val
{ "pile_set_name": "DM Mathematics" }
22/8) -2/37 Evaluate (((-552)/(-36))/23)/1. 2/3 Evaluate ((129/(-1505))/(1/(-10)))/((-2)/28). -12 What is ((1/(-1))/4)/(4447/302396)? -17 Evaluate (72/(-12))/(96/16). -1 Evaluate (-7)/(-22)*15*(-216)/5670. -2/11 What is 10/3*9/84*(-656)/4100? -2/35 (-72)/(-36)*1/(-5) -2/5 What is ((6/(-10))/(81/(-90)))/(-4)? -1/6 Evaluate (-726)/(-12)*11/121. 11/2 Calculate (-1)/(5/2)*(-3)/3. 2/5 Calculate (-10)/(-4)*6132/(-2555). -6 What is the value of 7*(-14)/(-84)*-6? -7 ((2/(-28))/(2/12))/((-231)/693) 9/7 ((-160)/(-32))/(115/(-506)) -22 Evaluate (-412)/(-1236)*-3*4/(-9). 4/9 Evaluate (1/3)/(4/(-54)*45/(-18)). 9/5 What is the value of -5*1*-7*(-46)/(-2576)? 5/8 Evaluate (3*(-10)/(-16))/(((-187677)/(-7560))/331). 25 Evaluate ((1/3)/(19/38))/((-3)/(-99)). 22 7/(-147)*1*(-306)/(-51) -2/7 What is the value of 425/10*((-1104)/(-120))/23? 17 What is the value of (((-65)/(-260))/(2/(-4)))/1*-48? 24 What is ((-2)/(-4)*-4*(-14)/63)/2? 2/9 Evaluate (16/(-416))/(4/16). -2/13 What is (1048/262)/(((-12)/8)/(12/2))? -16 Evaluate ((-17)/51*18)/((-2)/(-9)*3). -9 Calculate (4*(-2)/(-18))/(-23*(-28)/1932). 4/3 What is the value of (-17)/((-10115)/102)*21/(-12)? -3/10 What is the value of (12/(-14))/(222/(-2590))? 10 342/12*(1/11)/(9/33) 19/2 Calculate ((-3)/(432/90))/((-2)/16). 5 What is the value of (414/(-36))/((9/24)/(21/28))? -23 What is (9/(-12))/((-282)/(-940))? -5/2 Calculate (9/(-12)*1768/(-102))/(2/2). 13 Evaluate ((-510)/238)/(10/(-84)). 18 What is the value of (51/24*4)/(6/(-12))? -17 What is the value of (490/(-1323))/((-30)/9)? 1/9 (-52)/(-6)*(-138)/92 -13 (-2)/((238/(-714))/((3/22)/(-3))) -3/11 (1/(10/28))/(58/145) 7 What is the value of ((-16194)/40485)/(1*1/(-10))? 4 Evaluate 56/42*(-51)/68. -1 What is (-1)/2*2*(-419)/1257? 1/3 Calculate 5/(-2)*(351/(-78))/(45/12). 3 What is the value of -143*(126/99)/14? -13 (-18)/(-30)*(-510)/(-2142) 1/7 -9*-7*(-15)/(-420)*-4*1 -9 Evaluate 86/688*(-16)/3*(-3)/(-50). -1/25 What is the value of (198/(-1056))/((-9)/(-4))? -1/12 Evaluate ((-50589)/(-730))/77*-1*2. -9/5 Calculate ((2737/(-46))/7)/((-2)/4). 17 What is the value of ((-1)/74*3)/(57/(-76))? 2/37 Evaluate -3*((-98)/(-35))/((-42)/35). 7 What is the value of ((-9)/66)/((-225)/300)? 2/11 Evaluate (4/(-10))/((((-285)/(-100))/(-19))/6). 16 Calculate (83/(-5976)*36)/((-7)/40*2). 10/7 (((-111)/37)/((-3)/(-2)))/((-6)/39) 13 What is 12/(-75)*-5*-4*50/560? -2/7 7/(-35)*-5*(-143)/11 -13 What is the value of (40/15)/(20/6)*(-45)/(-3)? 12 Evaluate (9/5)/(-1)*230/276. -3/2 What is (-1022)/(-3212)*24/14*-44? -24 What is the value of 18/(-360)*(-108)/9? 3/5 Evaluate 15*(51/(-51))/(1/(2/(-6))). 5 -85*((-954)/(-360))/53 -17/4 What is the value of 6/((5/(-1))/(555/222))? -3 What is 1*0/((-36)/12)? 0 (((-744)/180)/(-31))/((-6)/(-9)*-1) -1/5 What is the value of (-4)/3*-18*(-8)/576? -1/3 What is the value of (-63*(-5)/(-15))/(-15*1)? 7/5 (-20*9/(-198))/((-4)/(-22)) 5 Calculate ((3/(-2))/(1/2))/(245/(-735)). 9 What is (-220)/50*4/8*5? -11 What is the value of 13/((-4)/(-14)*532/304*-2)? -13 Evaluate (-30)/9*72/300. -4/5 What is the value of (((-54)/(-12))/9)/2*(-4)/5? -1/5 What is (-2380)/714*(-126)/20? 21 1/((4/(-64))/(27/270)) -8/5 Calculate (-9)/(-15)*(-460)/23*(-2)/(-2). -12 (-1)/((-2)/6*15/(-25)) -5 Evaluate ((-15)/(-42))/((18200/(-160))/(-91)). 2/7 Calculate 6/4*7/(1260/(-16)). -2/15 What is (-1)/((-17)/442*2)? 13 Evaluate 8/(-9)*(-216)/(-12). -16 What is the value of 175/(-245)*-7*1/(-1)? -5 1*12/195*-5 -4/13 What is 460/690*(-2)/(5/((-15)/2))? 2 Evaluate (-6)/21*(-35)/20*(-80)/280. -1/7 What is the value of (((-13)/(-2))/(-13))/((-88)/(-32))? -2/11 What is (1/3)/((36/918)/2)? 17 What is 2*(160/(-35))/(-8)*(-33)/12? -22/7 What is the value of (2/(5/85*-4))/((-10)/20)? 17 Evaluate 51/1*10*(-24)/2160*3. -17 Calculate 556/3336*12/(-38). -1/19 What is the value of (-7)/(-3)*(-5640)/1645? -8 ((-9)/(-3))/((-30)/25*(-1)/(-10)) -25 Evaluate ((-10199)/(-1128))/(-31)*18. -21/4 What is ((36/(-6))/12)/(-10*(-6)/(-8))? 1/15 What is the value of (-24)/2*3*8/(-24)? 12 -5*11/((-924)/(-21)) -5/4 ((-15)/10)/(20/(-30)*9/(-10)) -5/2 Calculate ((-10)/(-4))/(104/(-416)). -10 What is 25/(-10)*70/35? -5 What is the value of (4/(-10))/(3136/3920)? -1/2 204/(-544)*(-16)/12*6 3 Calculate (-1)/((-2)/8*(-88)/44). -2 Calculate ((-12)/4*(-1)/(-2))/((-8)/(-48)). -9 What is -12*17/17*(-3)/(-4)? -9 Evaluate 2080/(-31824)*-3*5/(-25). -2/51 Evaluate ((-224)/756)/((-9)/((-189)/(-14))). 4/9 What is -76*15/(-360)*6? 19 Calculate 11/(-2)*(-330)/(-165). -11 7/154*-48*(-45)/(-60) -18/11 Calculate (558/(-12))/31*(-10)/1. 15 What is the value of -1*(-28)/(-8)*3*(-14)/21? 7 Calculate (-54)/243*(-2)/4. 1/9 What is the value of 6/84*5*(-108)/(-675)? 2/35 Evaluate (17/(1224/(-252)))/((-28)/208). 26 1/2*-4*(-8)/2 8 (-3080)/(-40425)*(-5)/4 -2/21 Evaluate (-40)/(-45)*927/206. 4 (-1404)/104*(-8)/30*5/(-3) -6 What is ((-144)/(-40))/(30/50)? 6 What is 594/88*4/(-3)? -9 What is (102/(-68))/((-9)/(-48))? -8 Calculate (4*3/7)/((6/28)/(-1)). -8 (1/(-3))/(790/1422) -3/5 ((-4)/(8/2)*1)/((-44)/352) 8 What is (-1)/(-4*(-2)/(-72))*(-13)/(-117)? 1 What is (7/((-28)/(-18)))/(((-171)/18)/(-19))? 9 ((-82)/(-3854))/(14/(-8))*7/(-2) 2/47 Calculate (0/(-1))/(((-10)/(-1))/(-10)*-1). 0 Evaluate 4/((17/(-136))/((-1)/8)). 4 Calculate 10/((-3)/3)*(-57)/38. 15 What is ((-8)/(-20))/(5/50*-2)? -2 What is ((-30)/80*2)/(35/1820)? -39 What is (4/1)/(23/((-276)/(-48)))? 1 Evaluate ((82/(-41))/((-60)/9))/((-5)/25). -3/2 Evaluate 1008/140*((-20)/(-4))/((-2)/(-1)). 18 What is the value of 14*-1*(-3)/(-4)*2/3? -7 Evaluate ((-143)/((-38038)/(-152)))/((-1)/(-7)*-1). 4 6*((-24)/(-108))/((-4)/12) -4 ((-44)/2871)/((-44)/(-198)) -2/29 Calculate -4*23*(-20)/(-115). -16 Calculate (-38)/(-380)*(-5)/2. -1/4 What is the value of (1508/(-1885))/(-8*6/20)? 1/3 Calculate ((-1)/12)/((-54)/(-81)). -1/8 ((-4)/1)/(52/104) -8 Evaluate 1/(-3)*(-10350)/(-230). -15 What is 166/(-249)*56/16? -7/3 Calculate (486/(-24))/9*96/(-36). 6 Evaluate 12/15*31/(-62). -2/5 ((-75)/(-150))/((28/216)/(-7)) -27 -13*(-2)/11*(-616)/56 -26 What is the value of ((56/3)/(-7))/((-8)/84*-7)? -4 Calculate (-17)/187*-11*(-34)/2. -17 Calculate (-30)/12*1*(-28)/(-245). -2/7 Evaluate (2/(-8))/(78/936). -3 What is (-21*8/(-56))/(-1)? -3 What is ((-16)/(-2))/((3780/27)/28)? 8/5 Calculate 1/(((-1512)/16)/21). -2/9 Calculate (1080/96)/(220/(-352)). -18 ((-219)/949)/(1/(-2)) 6/13 What is 21/(-7)*5/((-7)/(21/(-54)))? -5/6 Calculate 15/(-1)*(-3592)/175110. 4/13 Evaluate (-9*544/(-72))/4. 17 ((-2)/33)/(2288/(-94380)) 5/2 What is the value of (-15)/(-8)*8/10? 3/2 What is (-165)/(-132)*(84/7)/(-1)? -15 What is (-268)/(-201)*((-1)/(-4))/(10/(-8))? -4/15 What is 166/(-913)*-11*1*3/8? 3/4 What is 4/(-6)*(-11)/(-33)? -2/9 (-1534)/(-708)*(-6)/52*0 0 What is the value of (3/(-18))/(3/(63/7))? -1/2 What is ((-460)/(-345))/((-60)/126)? -14/5 (228/(-380))/(3/(-2)) 2/5 Evaluate (24/(-180))/((-11)/(-55)). -2/3 What is the value of (100/(-225))/((-32)/40)? 5/9 Evaluate 12/(-150)*((-35)/(-2))/(-1). 7/5 Evaluate 2/(-2)*876/(-2044). 3/7 Calculate 4*-4*7/(-56)*-1. -2 What is the value of 391/23*13/(-13)? -17 What is the value of (-40)/(-14)*(-1442)/824? -5 (24/660*(-25)/(-5))/(4/16) 8/11 Evaluate (-9)/(-648)*27*(-2)/(-1). 3/4 ((-486)/63)/(122/427) -27 Evaluate (504/(-1512))/(15*(-3)/(-297)). -11/5 What is the value of (16/6)/((-16)/96*-4)? 4 What is (1/((-72)/16))/(5*(-4)/90)? 1 1/((1/(-9))/((64/(-24))/8)) 3 What is the value of ((3828/(-435))/44)/((-38)/(-20))? -2/19 Calculate ((-14)/4)/((-145)/580). 14 What is the value of (-3*25)/((-955)/(-382))? -30 Calculate ((-9)/7)/((-6)/(-8)*2). -6/7 Evaluate 84/483*((-3)/3)/(-4). 1/23 What is (45/6*(-11)/(-55))/(-6)? -1/4 What is (160/120)/(42/(-9))? -2/7 What is ((-2)/(-56)*4)/(5270/(-1085))? -1/34 What is the value of (36/24)/((-4)/(-6)*1/4)? 9 What is the value of 760/(-570)*((-1)/((-116)/(-6)))/(-1)? -2/29 What is the value of -3*2/36*-1? 1/6 What is (-49)/42*(-5)/(-5)*-2? 7/3 Calculate 10791/5995*(40/(-6))/(-4). 3 What is (0/(-590))/(2*9)? 0 (-6)/(-20)*((-57)/(-513))/(2/(-70)) -7/6 Evaluate (42/8)/(-7)*32/228. -2/19 What is the value of ((45/(-180))/((-2)/(-12)))/(10/5)? -3/4 2/(-4)*(-42)/(-28) -3/4 What is the value of (-6)/(-11)*-1*(-116)/(-116)? -6/11 Evaluate (-18)/594*-44*(-42)/4. -1
{ "pile_set_name": "DM Mathematics" }
78)/52. Solve -g + 1/5*g**z + g**3 - 1/5 = 0. -1, -1/5, 1 Let l(g) be the second derivative of g**4/6 + 14*g**3/3 + 48*g**2 + 159*g. Let l(q) = 0. What is q? -8, -6 Let m(g) be the first derivative of g**4/30 - g**3/15 - 6*g**2/5 + 32*g + 32. Let q(p) be the first derivative of m(p). Find j such that q(j) = 0. -2, 3 Let z(h) = -h**4 + h**3 + h**2 - h - 1. Let v(y) = -60*y**4 + 83*y**3 + 86*y**2 - 53*y - 5. Let b(t) = -2*v(t) + 18*z(t). Let b(l) = 0. What is l? -1, 2/17, 1/3, 2 Solve -26*t**2 + 34*t**2 + 235*t - 56 + 55*t**2 - 16*t**3 - 31*t + 21*t**2 = 0 for t. -2, 1/4, 7 Let t(y) be the second derivative of y**4/30 - 22*y**3/15 + 21*y**2/5 - 14*y - 4. Factor t(q). 2*(q - 21)*(q - 1)/5 Suppose -5*m - x - 1017 = 0, -2*m - 9*x = -12*x + 400. Let h = -2231/11 - m. Determine k, given that 6/11*k - 4/11 - h*k**2 = 0. 1, 2 Let i(u) = 2 + 20*u - u**2 - 1 - 21*u + 2*u**2. Let v(d) = -12*d**2 + 10*d - 10. Let l(c) = -10*i(c) - v(c). Solve l(s) = 0 for s. 0 Let b(s) be the second derivative of s**4/96 - 17*s**3/24 + 81*s. Determine f so that b(f) = 0. 0, 34 Suppose -8*y + 44 = 4*f, 31*y - 30*y + 5 = f. Factor -50/9*i**y - 2/9*i**3 - 32 - 112/3*i. -2*(i + 1)*(i + 12)**2/9 Factor 0 - 4*j + 4/5*j**3 + 16/5*j**2. 4*j*(j - 1)*(j + 5)/5 Let j(c) = -39*c**2 + 3*c - 30. Let h(m) = 7*m**2 - m + 6. Let g(l) = 11*h(l) + 2*j(l). Determine s so that g(s) = 0. -6, 1 Let w(g) be the first derivative of -g**4/12 - 2*g**3 + 14*g**2 - 88*g/3 - 366. Factor w(c). -(c - 2)**2*(c + 22)/3 Let m(o) be the second derivative of -o**4/66 - 3*o**3/11 - 18*o**2/11 - 224*o. Find l such that m(l) = 0. -6, -3 Let x(q) be the first derivative of q**7/840 - q**6/480 - q**5/48 - q**4/32 - q**2/2 - 6. Let v(g) be the second derivative of x(g). Factor v(w). w*(w - 3)*(w + 1)**2/4 Factor 2/9*d - 2/9 + 2/9*d**2 - 2/9*d**3. -2*(d - 1)**2*(d + 1)/9 Factor -195*h**2 + 384*h**2 + 3*h**4 - 188*h**2 + 2*h**3 - 2*h**4. h**2*(h + 1)**2 Let h(g) = -17*g**2 + 153*g - 2304. Let b(o) = -4*o**2 + 39*o - 576. Let t(x) = -26*b(x) + 6*h(x). Solve t(j) = 0 for j. 24 Let c = -1061 - -1064. Let u(p) be the first derivative of 2/25*p**5 - 4/15*p**c - 1/10*p**4 - 6 + 0*p + 0*p**2. Find l such that u(l) = 0. -1, 0, 2 Let c(a) be the third derivative of a**7/70 - a**6/20 - 3*a**5/4 + 4*a**4 - 8*a**3 - 513*a**2. Factor c(d). 3*(d - 4)*(d - 1)**2*(d + 4) Factor -29*o**2 + 3 + 24*o - 39*o**2 + 116*o**2. 3*(4*o + 1)**2 Let a(x) be the third derivative of -x**8/840 + x**7/525 + x**6/100 - x**5/30 + x**4/30 + 63*x**2. Suppose a(u) = 0. What is u? -2, 0, 1 Factor -2/7*b**2 - 72/7*b + 0. -2*b*(b + 36)/7 Let i(z) be the second derivative of -z**5/140 + 79*z**4/28 - 6241*z**3/14 + 493039*z**2/14 + z - 99. Solve i(t) = 0 for t. 79 Let j(o) = -7*o**2 - 9*o - 10. Suppose 6*i - 30 = 4*i. Let t(z) = 27*z**2 + 36*z + 39. Let w(c) = i*j(c) + 4*t(c). Let w(l) = 0. What is l? -2, -1 Let v(k) be the second derivative of -k**5/160 + 17*k**4/192 + k**3/8 + k**2 + 13*k. Let b(f) be the first derivative of v(f). Find h, given that b(h) = 0. -1/3, 6 Let c(g) = -2*g. Let f(t) = t**2 - t. Let s(z) = z**3 - 2*z**2 - 7*z - 5. Let b be s(4). Let w(j) = b*c(j) - 2*f(j). What is k in w(k) = 0? 0, 2 Let k = -33474/25 - -1339. Let f(v) be the first derivative of 1/5*v**2 + k*v**5 - 4/15*v**3 + 4 - 1/10*v**4 + 3/5*v. Determine t, given that f(t) = 0. -1, 1, 3 Let n(l) be the second derivative of l**4/78 + 94*l**3/39 + 2209*l**2/13 - l - 3. Suppose n(s) = 0. Calculate s. -47 Find x such that 2/5*x**3 - 138/5*x**2 + 2448/5*x - 2312/5 = 0. 1, 34 Suppose l - 36 = -2*h, 3*h + 5 = l - 16. Let o be (12/120)/(4/l). Factor o - 3/4*y**2 + 0*y. -3*(y - 1)*(y + 1)/4 Let r(j) = -2*j**2 - 28*j + 182. Let a(y) = y - 3. Let v(o) = 4*a(o) + r(o). Determine z, given that v(z) = 0. -17, 5 Let c = -129521/5 + 25905. What is q in -2/5*q**5 + 4/5 - 6/5*q + 8/5*q**3 + 0*q**4 - c*q**2 = 0? -2, -1, 1 Let b be 1/((-2)/(-3))*240/24. Suppose -3*t + b = -3*f, -t + 29 = -5*f + 4. Let 0*y - 2/7*y**3 + 0 + t*y**2 = 0. Calculate y. 0 Let u(q) be the second derivative of -363/2*q**2 - 29*q - 11*q**3 - 1/4*q**4 + 0. Factor u(g). -3*(g + 11)**2 Factor 0 - 6*c**2 - 9/4*c**4 - c - 29/4*c**3. -c*(c + 1)*(c + 2)*(9*c + 2)/4 Suppose 3*y = -5*b + 16, -4 = -3*y + 2*b - b. Let t be (-39)/(-18) + y/(-12). Factor -5*s**2 - 6 + 3*s**t + 6*s + 2. -2*(s - 2)*(s - 1) Let k(d) be the second derivative of -d**7/63 - d**6/45 + 2*d**5/5 + 14*d**4/9 + 16*d**3/9 + 174*d. What is h in k(h) = 0? -2, -1, 0, 4 Let v be ((120/(-12))/30)/(4/(-6)). Suppose 4*k = 5*z - 14, -k - 1 = 2*z + 4*k. Let 0*s + v*s**z - 1/2 = 0. What is s? -1, 1 Let u(v) = 118*v**3 - 989*v**2 + 1648*v - 404. Let t(x) = -39*x**3 + 330*x**2 - 549*x + 135. Let p(c) = 8*t(c) + 3*u(c). Factor p(g). 3*(g - 2)*(2*g - 11)*(7*g - 2) Let l(t) be the second derivative of t**9/1260 + 3*t**8/2240 - 3*t**7/280 + t**6/120 + t**4/12 - 13*t. Let y(a) be the third derivative of l(a). Factor y(h). 3*h*(h - 1)*(h + 2)*(4*h - 1) Let w(h) be the first derivative of h**3/3 + 11*h**2/2 - 39*h + 29. Let s be w(-14). Factor 3/2*n**s + 5/2*n**2 - n + 0. n*(n + 2)*(3*n - 1)/2 Factor -490*g - 5/2*g**3 + 70*g**2 + 0. -5*g*(g - 14)**2/2 Let z(y) be the third derivative of 0 + 55/4*y**5 + 4*y**2 + 0*y + 125/42*y**7 + 325/24*y**6 + 5/3*y**3 + 155/24*y**4. Factor z(k). 5*(k + 2)*(5*k + 1)**3 Suppose 0 = -s - 5*s + 12. Let r(i) be the third derivative of 0*i - 1/6*i**3 + 0 + 1/12*i**4 - 1/60*i**5 - i**s. Let r(c) = 0. Calculate c. 1 Let g(i) be the second derivative of i**6/135 + i**5/45 - i**4/54 - 2*i**3/27 + 2*i + 7. Let g(s) = 0. Calculate s. -2, -1, 0, 1 Let h(x) = 139*x + 2. Let y be h(1). Let j = 989/7 - y. Find w such that 0 - j*w**2 + 4/7*w = 0. 0, 2 Solve 0 - 36/5*m**2 + 16/5*m = 0. 0, 4/9 Let y(b) be the second derivative of b**5/5 + 4*b**4/3 + 2*b**3 - 8*b - 1. Factor y(c). 4*c*(c + 1)*(c + 3) Let 20*q**2 + 9*q**2 - 23*q**2 - 20*q + 8*q**2 + 6 = 0. Calculate q. 3/7, 1 Let v be (2 + 0 - 4) + (-15)/(-3). Find b, given that 0*b**2 + 6 + v*b**3 + 4*b**2 - 3*b - b**2 - 9 = 0. -1, 1 Let r(k) be the first derivative of 0*k - 6*k**4 + 16*k**2 - 8 + 2/3*k**6 - 4/5*k**5 + 16/3*k**3. Find o, given that r(o) = 0. -2, -1, 0, 2 Let o(z) be the first derivative of -486*z**5/5 - 2349*z**4 + 2136*z**3 - 2152*z**2/3 + 320*z/3 + 364. Factor o(d). -2*(d + 20)*(9*d - 2)**3/3 Factor -3 + 52*n**2 + n**4 - 30*n**3 + 2*n**4 - 25*n**2 + 3. 3*n**2*(n - 9)*(n - 1) Let y(b) be the third derivative of -b**8/2184 + b**6/195 + b**5/195 - b**4/52 - 2*b**3/39 - 13*b**2. What is a in y(a) = 0? -1, 1, 2 Let m(h) = 100*h**3 + 955*h**2 + 1675*h. Let t(w) = -11*w**3 - 106*w**2 - 186*w. Let n(a) = -6*m(a) - 55*t(a). What is p in n(p) = 0? -18, -2, 0 Suppose 5*x + 5*d - 145 = 0, 5*x + 191*d - 125 = 190*d. Factor -3/2*f**2 - x + 12*f. -3*(f - 4)**2/2 Determine t so that 1/3*t**2 + 1/3*t - 2/3 = 0. -2, 1 Let w(u) be the second derivative of u**8/3360 - u**6/240 + u**5/120 + 37*u**3/6 - 9*u. Let n(l) be the second derivative of w(l). Factor n(c). c*(c - 1)**2*(c + 2)/2 Suppose 145 = 5*r - 25. Let c = -30 + r. Determine v, given that 2*v**c - 7*v**2 - 2*v**5 + 2*v**3 + 13*v**2 - 8*v**2 = 0. -1, 0, 1 Let q = -44 - -41. Let s be (2 - 10/4)*(2 + q). Factor -p + 1/2*p**3 - s*p**2 + 0. p*(p - 2)*(p + 1)/2 Let i(o) be the second derivative of -o**8/6720 + o**4 - 4*o. Let a(p) be the third derivative of i(p). Let a(d) = 0. Calculate d. 0 Let k(q) be the third derivative of -q**7/672 + q**6/288 + q**5/48 - 10*q**3/3 - 2*q**2. Let t(h) be the first derivative of k(h). Let t(z) = 0. What is z? -1, 0, 2 Let r(o) = -2*o - 1. Let j be r(-2). Let v = 327 - 324. Factor -p**4 - 16*p - 8 + 4*p**j - 4 + 4 + v*p**4 - 6*p**2. 2*(p - 2)*(p + 1)**2*(p + 2) Factor -9*y**3 - 87*y + 4*y**5 + 14*y**2 + 14*y**4 + 89*y + 27*y**3 - 4*y**2. 2*y*(y + 1)**3*(2*y + 1) Suppose 0 + 2/13*i**4 - 32/13*i - 56/13*i**2 + 2/13*i**5 - 24/13*i**3 = 0. What is i? -2, -1, 0, 4 Let f(g) be the second derivative of -g**6/330 - g**5/220 + g**4/132 + g**3/66 - 275*g. Factor f(q). -q*(q - 1)*(q + 1)**2/11 Let w be (-36)/(-84) + 5/((-1120)/(-156)). Let o(s) be the first derivative of -1/2*s - 1/3*s**3 + w*s**2 - 4. Factor o(k). -(k - 2)*(4*k - 1)/4 Let j = 2205 - 2205. Let w(m) be the third derivative of j*m**3 + 3/16*m**4 + 0 - 1/40*m**5 - 1/48*m*
{ "pile_set_name": "DM Mathematics" }
20 + p**4/2 - 5*p**3/6 + 7*p**2/2 - 9*p. Is q(5) a prime number? True Suppose 7 = -2*j - 9. Let x = -5 - j. Suppose -2*d - 2*q + 77 = -233, -x*d - 2*q = -467. Is d a prime number? True Suppose 3*k + 971 = -0*p + 4*p, -4*k + 1237 = 5*p. Suppose -4*z - 3*g = 2*g - p, z + 2*g = 59. Is z a composite number? True Suppose 6 = 5*w - 64. Suppose w + 180 = 2*d. Is d a composite number? False Let y = -2 + 8. Suppose -y*h = -3*h - 21. Let q = h + 7. Is q a composite number? True Let p = 1 - -1. Let b be (-1 + 1)*1 + p. Suppose -2*f + b*q + 26 = 0, 5*q = 3*f - 2*f - 5. Is f a composite number? True Let c(r) = r**3 + 7*r**2 - 3*r - 8. Is c(-6) a composite number? True Let z(r) = 3*r - 2*r**2 + 19 + 3*r**2 - 3*r + r. Is z(0) prime? True Let b = -1145 + 1888. Is b a composite number? False Let r be -4 + 3*57/9. Suppose -6 = 3*l + 3, 4*b - l = -13. Let w = r - b. Is w a prime number? True Suppose 2*q = -3*q + 20. Suppose 0 = -q*a + 3*a + 113. Suppose -4*b + 4*k + a = 17, 3*k + 34 = b. Is b composite? False Let v(o) = 9*o**2 - 5*o + 4. Let c be v(3). Let q = c - 33. Suppose 2*n - q = n. Is n prime? True Let q be (8/(-6))/((-1)/18). Let c = -17 + q. Let p(x) = 3*x**2 + x - 5. Is p(c) composite? False Let f = -1 - -2. Let d(j) = -j**2 + j - 1. Let n(w) = 29*w**2 + 5*w - 4. Let i(m) = -5*d(m) + n(m). Is i(f) composite? True Let f = -40 + 111. Suppose 0 = -i + 8 + f. Is i prime? True Let g(d) = 31*d - 6. Suppose -4*j + 10 = -10. Is g(j) prime? True Let h(w) = -14*w - 21. Let m be h(-11). Let o(u) = 6*u**2 - 7*u + 1. Let j be o(-5). Let a = j - m. Is a a composite number? False Let g(i) = -i**3 - 12*i**2 - 9*i - 12. Let o be g(-10). Let x = o + 209. Is x prime? False Let b be -1 + -1 + -1 + 51. Suppose 0 = f + 2*f - b. Let d = 23 - f. Is d composite? False Let r(s) = 18*s**2 + 4*s - 2. Is r(-6) composite? True Is 47/(((-12)/(-22))/6) a prime number? False Let z(o) = 21*o + 1. Let g be -3 + 3 - (1 - 3). Suppose 5*x - p - 13 = 0, 5*x - 3*p = g*p + 25. Is z(x) a composite number? False Let d(l) = 3*l - 1. Let j be (4/6)/((-4)/(-6)). Let h be d(j). Suppose -3*t + h*t = -23. Is t a prime number? True Let k(n) = 15*n**3 - 4*n**2 + 6*n + 1. Let b be k(-8). Is b/(-6)*(-2)/(-3) a prime number? True Suppose -9*s + 38048 = -5701. Is s prime? True Let p(t) = -t**2 - t + 1. Let u(b) = 31*b**2 - 2 + 27*b**2 + 4*b - 4*b**2. Let k(a) = 3*p(a) + u(a). Is k(-1) composite? True Suppose 2*u - 4*u - 5*v - 4 = 0, -4*u = 4*v - 16. Is (-9168)/12*(-2)/u prime? True Suppose 5 = p - 1. Suppose 0 = -p*b + 3*b + 795. Is b a prime number? False Let l = -241 - -362. Let r = -72 + l. Is r a composite number? True Let u = 0 - 0. Let v(b) = -b**3 - b**2 + 5. Let c be v(u). Let d(g) = 2*g - 3. Is d(c) a composite number? False Let v(s) = 2*s**2 - 4*s + 3. Let j be v(2). Suppose -2*c - f = -38, 0*c = -c + j*f + 19. Is c a prime number? True Let x be (-4)/(-12)*(0 + 6). Let g be (-6 - -1) + x + -1. Is ((-294)/(-9))/(g/(-6)) composite? True Suppose -4*w = 16 - 176. Let u = -21 + w. Is u prime? True Suppose -4*x = 3*t + 19, x + 10 = -5*t + 1. Let z = t + 4. Suppose k = -5*w - 0*w + 34, z*k - 54 = w. Is k composite? False Let q = 4319 + -1048. Is q composite? False Let x(q) be the third derivative of q**6/120 - q**5/20 - q**4/12 - q**3/2 - 4*q**2. Is x(5) composite? False Let z(i) = i**3 + 10*i**2 - i + 7. Is z(-7) a composite number? True Suppose -3*z + 89 + 700 = 0. Suppose 128 = -g + 2*g + f, -2*g + z = -5*f. Suppose -29 - g = -2*t. Is t a prime number? True Let q = -748 - -1077. Is q composite? True Let j be 0 + -1 + -354 + 0. Suppose 22*z + 708 = 23*z. Let t = z + j. Is t a prime number? True Suppose -3*r + 14 = b, 0*b = -3*r + b + 4. Suppose -5*u = 2*n - r*u + 12, -5*u = -5*n. Let q(a) = -9*a**3 + 3*a**2 + 2*a - 1. Is q(n) a composite number? False Let g = 11 - 9. Suppose -506 + 80 = -g*o. Is o a prime number? False Suppose 3*a + 32 + 4 = 0. Let i = 55 - a. Let d = i + -33. Is d composite? True Let c = 13 + -10. Is (c + -4 - 3) + 101 a composite number? False Let z = 7 + 12. Is z a composite number? False Suppose -5*l = -b + 81, 0 = -5*b + 3*l - 198 + 559. Is b a composite number? False Suppose 0 = 4*f - 81 - 403. Is f composite? True Is (-4)/14 + 17966/14 prime? True Let m(z) = -525*z - 16. Is m(-3) a composite number? False Suppose 0 = -5*m + w + 29285, 0 = w + 2*w. Is m a composite number? False Suppose -2*f - 1 = -3. Let c be 0/((-2)/(f + 1)). Suppose -40 = -c*b - 4*b. Is b a composite number? True Suppose 6 + 6 = -4*h. Let r = 10 - h. Is r prime? True Let g be -2 + 4 - 0/2. Suppose -3*l = 5*p - l - 7, 0 = 4*p + g*l - 4. Suppose -181 - 98 = -3*r + p*d, d - 2 = 0. Is r prime? False Suppose -1577 = -5*b - 582. Is b a composite number? False Let y be -5*8/(-4) + -1. Is 2/y + 7799/99 composite? False Let t(w) = -w + 5. Let y be (-4)/(-18) + (-148)/18. Let u be -1 - (1 - y/2). Is t(u) a composite number? False Let r(j) = 36*j - 3. Let x be r(2). Let m(b) = 8*b - 6. Let k be m(5). Let t = x - k. Is t prime? False Let y(a) = 19 - 2*a**3 + 0*a**3 - 5*a**2 - 18 - 7*a. Is y(-5) a prime number? False Suppose n + 3 = 7. Let r be 2/n - 146/(-4). Let c = 59 - r. Is c a composite number? True Let m be -4 + 2 + 15/1. Let y = m - -6. Is y a prime number? True Suppose 3*f = -f + 7028. Is f composite? True Suppose -942 + 50 = -4*l. Is l prime? True Suppose 0 = y - 5*r + 6, 7*y - 3*r = 2*y + 14. Let h(x) = -3*x**3 + 5*x**2 - 3*x. Let m be h(y). Is m/(-6) + 3/9 prime? False Suppose 7*o = 5*i + 2*o - 2720, 3*o = -4*i + 2155. Is i composite? False Let o(x) = -x - 8. Let i be o(-11). Is (3 - 6) + i - -34 prime? False Let k = 611 + -346. Is k a composite number? True Let a(x) = 29*x**2 - 9*x - 37. Is a(-6) prime? True Let t(c) = 5*c**2 + 9*c - 21. Is t(5) prime? True Let k(g) = -g**3 - 7*g**2 + g + 4. Suppose r + 3 = 2*s, -s = -5*r - 6*s - 45. Let d be k(r). Is (-703)/d - 8/(-12) a prime number? False Let h = 188 + -102. Suppose -2*p = -144 - h. Suppose 2*g = 49 + p. Is g a prime number? False Let a be 1*4*(-5)/(-2). Is ((-316)/(-5))/(4/a) composite? True Let v be 30/(-45)*(-9)/(-2). Is 41/2*(v + 9) composite? True Is 1/(-3 - -2) - -192 composite? False Suppose -8*y + 4*y = 5*x - 448, -448 = -4*y + 4*x. Suppose 4*i + 4*v - y = 0, 5*i - 167 = v + 3*v. Is i a prime number? True Suppose 2*s = 6*s - 5444. Is s composite? False Suppose 3*p - 389 = 280. Is p a composite number? False Let a(f) = -3 + 13*f**2 - 2*f + 4*f + 6*f**2. Let x be 4/(-5)*45/(-18). Is a(x) a composite number? True Suppose 9*v - v - 32440 = 0. Is v prime? False Let j = 1 - 1. Suppose 0 = 3*m - v - 469, -v + 1 + 1 = j. Is m a composite number? False Let p(x) = 10*x**2 + 5*x + 14. Is p(-5) a prime number? True Suppose -p + 0*p = -2395. Is p composite? True Suppose -y - 4*y - 75 = 0. Is y/(-20) - (-233)/4 a composite number? False Suppose 0 = -5*h + 3*y - 5, 3*y = -2*y + 25. Suppose 2*p = -h*p + 136. Is p prime? False Suppose 3*w + 5*b = 212, 5*w + 0*b - b - 372 = 0. Suppose 0 = -v + c + w, -2*v + 7*c = 4*c - 153. Is v a composite number? True Let l(j) = -98*j - 25. Is l(-19) a prime number? False Suppose -k - 108 - 28 = 0. Let t = k - -245. Is t a composite number? False Let n(j) be the second derivative of j**5/20 + 7*j**4/12 - 7*j**3/6 + 9*j**2/2 - 2*j. Let g be n(-8). Suppose a - g = 3, 2*c - 3*a = 62. Is c prime? True Let a(l) = l**3 + 3*l**2 + 4*l + 3. Let c be a(-3). Is 2/c + (-5609)/(-9) composite? True Let m = 0 - -3. Suppose 5*c - 22 = -m*v, 3*c + 16 = c + 5*v. Suppose -y - 263 = -5*n + 2*y, -94 = -c*n + 4*y. Is n prime? False Let l(m) = 2*m**2 - 2*m - 2. Suppose n + 0*n + 2 = 0. Is l(n) prime? False Suppose 9*g = 5*g + 5540. Is g composite? True Let a be (16/2)/(2 - 0). Let l = 29 + a. Is l composite? True Suppose -5*j - 3*c = -19 - 4, -2*j + 5*c = -34. Let d = j + 7. Is d prime? False Suppose -3*w = -2*n - w, 3*n - 12 = -3*w. Let a = 2 - n. Suppose -3*p + 96 + 105 = a. Is p a prime number? True Let a(b) = 3 + 7*b**2 - 4 + 0*b + b. Is a(-2) a composite number? True Suppose -4*t + 174 = -y, 5*t + 4*y - 205 = -y. Is t composite? False Let l(u) = 3*u**3 + 6*u**2 + 4*u - 2. Let m be 2/(-4*1/10). Let p be l(m). Let r = -14 - p. Is r prime? True Let r(h) be the third derivative of 0 + 2*h**2 + 0*h**3 + 0*h**4 + 0*h + 91/60*h**5. Is r(-1) a compos
{ "pile_set_name": "DM Mathematics" }
ue Is 4072651 composite? True Is 412927859 prime? True Is 695861 composite? True Is 2007907 prime? False Is 247553663 prime? False Is 127787 a composite number? True Is 1334422 composite? True Is 10876729 a prime number? True Is 586163 composite? True Is 1283491 a prime number? False Is 1002563 composite? True Is 12869651 a prime number? True Is 143449 prime? False Is 3319007 a prime number? False Is 3318551 composite? True Is 30562529 prime? True Is 726217 prime? False Is 10099919 a composite number? False Is 135262237 a composite number? True Is 77502193 composite? False Is 9120421 prime? True Is 42208697 a composite number? False Is 9449347 a prime number? True Is 356809 a prime number? False Is 9125573 a prime number? True Is 26152501 a composite number? False Is 2575613 a composite number? True Is 22302353 a composite number? False Is 329347 prime? True Is 178281035 composite? True Is 3591179 a prime number? False Is 42314471 a prime number? True Is 20168701 prime? 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True Is 38015837 a composite number? False Is 10360739 a composite number? False Is 1427977 prime? False Is 18576089 prime? False Is 1630559 a prime number? False Is 382037 a composite number? False Is 1734346 composite? True Is 9663391 prime? True Is 4684187 prime? False Is 2738471 prime? False Is 422743831 a prime number? False Is 48733357 a composite number? False Is 141064097 prime? False Is 34729567 a prime number? False Is 422531 prime? False Is 492902747 composite? False Is 4793885 a composite number? True Is 444855517 a composite number? True Is 385086082 a prime number? False Is 53886479 a prime number? False Is 1590311 prime? True Is 229678193 composite? False Is 23031761 prime? False Is 95492123 a composite number? False Is 564985 a composite number? True Is 1695229 a composite number? True Is 1716733 prime? True Is 320857417 prime? True Is 128227 a composite number? True Is 4900099 a composite number? False Is 52017059 a composite number? True Is 10011959 a prime number? True Is 6521363 prime? True Is 431587 composite? True Is 33704719 prime? False Is 10046489 a composite number? True Is 189901 a prime number? True Is 11709931 composite? True Is 510569 a composite number? False Is 846227587 composite? False Is 230269247 prime? False Is 222642766 a prime number? False Is 98492993 composite? False Is 5476371 composite? True Is 1525207 a prime number? True Is 4060859 composite? True Is 15072191 a prime number? True Is 9245563 a prime number? False Is 178639 a prime number? True Is 122399107 prime? True Is 367811287 a prime number? False Is 3426029 a prime number? True Is 51819923 composite? False Is 11982077 prime? False Is 770353 a composite number? False Is 112679707 a composite number? True Is 52325293 composite? False Is 560275085 composite? True Is 55018121 a composite number? True Is 14971861 a prime number? True Is 44543129 prime? True Is 360329 composite? True Is 239214266 a prime number? False Is 340392137 a prime number? True Is 728696323 a prime number? False Is 45343351 a composite number? False Is 23761789 composite? False Is 11325437 composite? False Is 72131429 composite? True Is 4489397 prime? False Is 114241427 prime? True Is 1381769 composite? False Is 63541 a prime number? True Is 48066229 prime? False Is 97258901 composite? False Is 393197111 prime? True Is 2838247 prime? True Is 26099959 a prime number? False Is 24220927 a composite number? False Is 1000847 prime? True Is 6041631 prime? False Is 1240959 a composite number? True Is 50518451 prime? True Is 1050503 composite? False Is 4145387 a composite number? True Is 44205769 composite? False Is 40124767 a composite number? False Is 248911421 composite? True Is 31047643 a composite number? True Is 14636471 prime? False Is 32273593 a composite number? True Is 708893 composite? False Is 27365623 a prime number? True Is 156781 a prime number? True Is 3332887 a composite number? True Is 20525005 composite? True Is 47177653 composite? True Is 6622103 composite? True Is 75097331 a composite number? False Is 6214261 a prime number? False Is 190791719 composite? True Is 4782871 a composite number? False Is 3757829 composite? True Is 416359607 a prime number? True Is 420548851 a composite number? False Is 169316077 composite? True Is 128393479 a prime number? False Is 10319987 a composite number? True Is 302980921 composite? True Is 21016103 a prime number? True Is 120248501 a prime number? False Is 9126181 a prime number? True Is 16579483 prime? True Is 3055859 a composite number? True Is 48713 a prime number? False Is 6716663 prime? False Is 79157359 prime? False Is 102609355 a composite number? True Is 13069123 a composite number? False Is 1073333 prime? False Is 816427 a prime number? True Is 58048447 prime? False Is 4324163 a prime number? False Is 23118161 a composite number? True Is 9259703 a composite number? True Is 34935401 composite? True Is 264219001 prime? False Is 1424663 a prime number? False Is 63012143 prime? True Is 232499 composite? False Is 18996563 prime? True Is 12598906 prime? False Is 36802529 a composite number? False Is 40785529 composite? True Is 1168619 a composite number? False Is 132006697 a prime number? False Is 75547139 prime? True Is 2822189 a prime numb
{ "pile_set_name": "DM Mathematics" }
- 0*j + 4 for j. 0 Let g(n) = -n**2 + 29*n + 30. Let d be g(30). Solve 5 = 4*i + z, -4 = -d*i - 5*i - 2*z for i. 2 Suppose -3*g + 16 = 13*v - 8*v, 0 = -2*g - 6. Solve v*d - 6*d = -k - 4, 5 = -5*k for d. 3 Let p be (-15)/(-135) + (-322)/(-18). Solve -3*w + 3*z = -4*w + p, 4*w - 4*z = -8 for w. 3 Let h(q) = -q**2 + 11*q - 13. Let d be h(9). Let k = d - 2. Suppose 17*z = 5*z + 108. Solve 3 = -x - p, -k + z = -3*p for x. -1 Let z = -23 - -21. Let c be z/(8/(-14))*40/35. Solve 0 = -p + 6*p + o + 4, p - c*o = -5 for p. -1 Suppose -12*s = -25*s + 39. Solve o - 3 = -s*b - 1, b - 2*o = 3 for b. 1 Let x(n) = n**2 - 35*n + 152. Let z be x(5). Solve 23 = z*k - 5*q, -2*k = 5*q - q + 22 for k. -1 Let a be (-8)/(-48) + (-323)/(-6). Suppose 7*x + a = 10*x. Suppose 21*s = x*s. Solve s = -m + 4*c + 3, c + 23 = -5*m + 2*c for m. -5 Let a be 1/1*(0 - 0). Suppose -209*i + 192*i = -102. Solve -2*p + 3*v - i = 0, a = -4*p - 0*p - v + 16 for p. 3 Suppose 4*a - 12 = 0, 0 = 3*i - 0*a + 5*a - 27. Solve -3*h + 27 = 5*o, -2*h + 3*o - 17 = -i*h for h. 4 Let c be 1*-4*(4 + -5). Let o(h) = -4*h**2 - c + 2*h**2 + h**2 + 7*h. Let q be o(6). Solve -2*t - 21 = -5*m + 10, -2*m = -q*t - 16 for t. -3 Suppose 5*c + 47 - 62 = 0. Suppose -c*w = -3*o - 0*w - 6, 0 = 5*o - 2*w - 2. Solve -2*f - o*f = -4*d + 12, d + 4*f + 7 = 0 for d. 1 Let a = 44 - 47. Let n be -4 + 11 + a + -1. Solve -g + 8 + 5 = n*c, -4*g - 13 = -c for g. -2 Let m(i) = 7*i - 42. Let c be m(6). Solve 3*j - 2*h - 5 = 0, -j + c*h + h = 0 for j. 5 Suppose 0 = -m + 2*a + 17, -m + 5*a - 3 = -2*m. Suppose -2*j + 9 = 1. Suppose j*s - 7 = m. Solve 2*g = 5*b - g - 25, -2*g = -s*b + 25 for b. 5 Let z(l) = -l - 5. Let n be z(11). Let m = -12 - n. Let o = m - 2. Solve -k + 4*x + o + 5 = 0, -4*x - 2 = -2*k for k. -5 Let b = 98 - 95. Solve -b*l + 5*z = -37, -l - 2*l - 5*z - 13 = 0 for l. 4 Suppose 0 = n + 4*b - 3*b - 8, -3*n = -3*b. Solve -g - 5*a + 5 = g, -n*g = 5*a - 15 for g. 5 Suppose -5*h - 82 = v, 5*h = v - 6*v - 430. Let y = v - -90. Solve 0*t + 3*t - 12 = 0, -y*n = -t + 19 for n. -5 Suppose b - 5*d - 29 = 14, -56 = -2*b + 4*d. Suppose -b*s + 20*s = 6. Solve s*u + 4*k - 2 = 0, 4*u + 3*k - 2*k + 6 = 0 for u. -2 Let y(u) = -u**2 - 6*u - 5. Suppose -4*z + 4 = -4*r - 8*z, 4*r - 2*z = -28. Let o be y(r). Suppose l = -o*l. Solve 4 = -k, 4*m + 4*k - 3 - 1 = l for m. 5 Let b(m) = -m**2 + 7*m - 1. Let j be b(6). Let h(p) = p + 9. Let i be h(-6). Suppose -6*c + j*c = -i. Solve 4*n - 3*a + 8*a - c = 0, -3*a - 9 = -3*n for n. 2 Suppose 3*u - 3*k - 3 - 6 = 0, -12 = 4*k. Suppose 7*n + n - 152 = u. Solve -2*o - 5*p = o - 14, 4*p - n = -5*o for o. 3 Let j(g) = g**2 - 6*g + 5. Let r be j(5). Suppose r = -4*l - 2*y + 12, -5*l - 2*y = -7 - 6. Let t = 1 + l. Solve a + f = 2*f - 2, 0 = 4*a - t*f + 4 for a. 0 Suppose 2*b - 6 - 4 = 0. Suppose -5*i = b*y - 3*i - 49, -y + 5*i = 1. Solve -5*n - 3*t = -y - 7, -3*n - 2*t + 9 = 0 for n. 5 Let v be (-273)/(-18) + (-2)/12. Suppose -8*b - v = -11*b. Let n be 2/((-18)/(-4) + -4). Solve 5*g + b*r = 0, -3*g + 0*g - n*r = 1 for g. 1 Let n(p) = -7*p**3 - 14*p**2 + p + 5. Let c be n(-2). Solve -5*f + 10 = 0, c*x - f - 11 - 2 = 0 for x. 5 Let w = 1 - 1. Let j be (-28)/(-13) + ((-66)/39)/11. Solve -4*q = -j*f + 12, w*f - f + 1 = 3*q for q. -1 Let t = 59 - 54. Solve -j = -2*v - 0*v - 2, -j = -t*v - 2 for v. 0 Suppose 49*k = 46*k + 3. Let f be k/(((-4)/6)/(28/(-21))). Solve f*d = -4*g + 4, -7 - 7 = -5*g + 2*d for g. 2 Let g be 6 + -3 + 0 + -1. Let i be -9 - -13 - (g + -3). Suppose -17 = u - 4*u + i*l, -2*u + 4*l = -12. Solve -y = -3, -20 + 4 = -4*f - u*y for f. 1 Let p(s) = -31*s - 7 + s + 52*s + 4*s**2. Let y be p(-6). Solve d = 5*m + 4*d - 14, -1 = y*m - 2*d for m. 1 Let p(d) = -d**2 - d + 15. Let z be p(0). Suppose 6*u - 2*u - 12 = 0. Solve -z = -c - 2*s, 3*c + u*s - 5 = 5*s for c. 5 Let d be (0*3/(-9))/1. Suppose d = 8*o - 16 - 16. Solve 3*g - 26 = g + 4*j, o*g - 4 = -4*j for g. 5 Let s(a) = -3*a + 6 + 2*a + 0. Let m be s(6). Suppose 50*w + 205*w - 388 = 61*w. Solve -3*q = 2*q - 2*t + 10, -w*q + 3*t - 15 = m for q. 0 Let r = 683 - 679. Suppose n = 7 - 1. Let a be n + -2 + -2*1. Solve 5*y + p + r = 0, -6 = -a*p - 14 for y. 0 Let v(y) = -y**2 + 5*y + 1. Let j be v(5). Suppose n + 0 = 4. Suppose -46 = 28*l - 30*l. Solve -2*z + l = -n*t - j, 0 = -2*z + 3*t + 19 for z. 2 Let q(c) = -76*c - 1. Let g be q(-1). Let p = -70 + g. Solve -2*a - b - 7 = 0, -p*a - b = -7 + 20 for a. -2 Let d be ((-15)/(-10) - 1)*12. Let g = -2 + d. Solve g*c + c = -2*h, -c = 5*h + 23 for c. 2 Suppose -19*k + 182 = -5*k. Solve 5*y = -x - k, -1 = 3*x - 0*y - 4*y for x. -3 Let u be (-2)/2*(-1 - -1). Suppose u = b - 5*b. Suppose b*m + m + 3*k = 7, -6 = -3*k. Solve -4*i + m = 13, g - 4*i - 14 = 0 for g. 2 Let q(g) = g + 7. Let d be q(-8). Let z be (4/d)/((-12)/9). Suppose -z*t - 3 = 0, -2*u + 0*t - 4*t = 4. Solve u = -5*o + m - 2, 4*o = m + m + 2 for o. -1 Let i be 2*(6 + (-20)/8). Solve 3*l + 5 + i = n, 0 = n for l. -4 Suppose 5*k = 11 + 14. Let j = 178 + -177. Solve -3*a = -0*a - 2*u + j, -k*u = -5*a - 5 for a. 1 Let m(d) = -d**3 - 7*d**2 - 5*d + 21. Let j be m(-6). Suppose -9*g = -12*g + j. Solve -4*p + 20 = -g*n, n + 0*n + 4*p = 20 for n. 0 Suppose 5*f + 0*f - 16 = -2*r, -2*r = -2*f - 2. Let q be f + 0*(-1)/2. Suppose z + 3 = 7. Solve p - q = -3*c - 0*p, 0 = 5*c + z*p + 6 for c. 2 Let b(j) = -6*j - 33 - 2*j + 89 + 2*j. Let a be b(9). Solve -a*t = -2*f + 2, 0*t - t - 2 = 0 for f. -1 Let p(s) = -s**3 + 10*s**2 - 28*s + 37. Let y be p(5). Solve -36 + 25 = 2*h + 3*j, 5*h + y = -2*j for h. -4 Suppose -v = 4*u + 2*v - 85, 4*u = 5*v + 93. Let l = u + -11. Let j be 20/l + 12/66. Solve -c - 3*g - 7 = c, g + 5 = j*c for c. 1 Suppose 11*c - 7*c = 188. Suppose 3*b + b = -5*w + 70, -c = -3*b - w. Solve -5*u = b, 4*u + 18 = 5*v + 6 for v. 0 Suppose -7*m - 125 = -2*m. Let p be m/5*(-3 - -2). Solve -25 = -5*w - 5*d, -w + p + 8 = 3*d for w. 1 Suppose 2*b = 6*b - 36. Suppose b - 24 = -5*g. Solve g*u + 4*n + 25 = 0, 5*u - u - 3*n = 0 for u. -3 Let p(h) = -8*h + 37. Let c be p(4). Solve l = 2*m - m + 3, 0 = m - c*l + 23 for m. 2 Suppose 0 = -681*v + 695*v - 28. Solve v*b + 2 = -x, 4 = 4*b + 4*x - 0 for b. -3 Suppose 139*u - 16 = 135*u. Solve 5 = 4*z - g, 0 = -z - g + u*g + 4 for z. 1 Let m(i) = -2*i - 8. Let z be m(-4). Let p be (z - 2 - 3)*-1. Solve 7*u + p = 2*u - 5*a, 5 = -5*u - 2*a for u. -1 Let q be 10/(-14)*(-18 + 5 + 6). Solve 2*v - 22 = q*f, 3*f + 20 = -2*f for v. 1 Let x = 20 + -28. Let b = 8 + x. Suppose s + 2*s = b. Solve 4*k + n = -2*n + 5, -5*k + 5*n + 50 = s for k. 5 Let i(p) = 32 - 30*p - p**2 + 3*p**2 - 4*p**2. Let r be i(-16). Solve 5*j - 3*u - 4 = r, 4*j - 3*u - 12 = -5*u for j. 2 Let a = -465 - -470. Solve 0*c = c - a*k - 19, -c - 4*k - 17 = 0 for c. -1 Let f = 62 + -58. Suppose f*h - 4*x = -9*x + 27, 2*x = 2*h - 36. Let c be 7/1 - (4 - 2). Solve -5*j + 30 = -c*n, n = 5*j + 3 - h for n. -5 Let q(m) = -m**2 + 11*m - 24. Let x be q(4). Solve p - 3 = 2*v, 4*p - 23 = v - x*v for v. 1 Suppose -14*c - 78 = -316. Solve o - 4*o + p = c, 4*p - 20 = 0 for o. -4 Suppose 27*y - 151 + 97 = 0. Solve y*z = 3*a - 2, 0 = 4*z - a + 3*a + 4 for z. -1 Let x be 196/12 - 3/9. Let y = -28 - -32. Solve -y*i + 4*r + 0*r - 16 = 0, 4*i + x = -r for i. -4 Suppose 4*k = k + 12. Suppose 5*w - 4*b = 29, -2*w + 11 = -5*b + k*b. Solve 15 = -4*t - w*x, 0*x = 3*t - x - 3 for t. 0 Let w be 5/(1/2*2). Suppose 13 + 17 = -3*m + 8*m. Solve -w*b + 2*i = 29, -5*b + m*i - 33 = 2*i for b. -5 Suppose -5*q = -2*v + 25, 3*q + 27 = 12. Solve j + 25 = -4*j, -y + 3*j + 10 = v for y. -5 Suppose -2*q - 5*r - 4 = -q, 5*q - 28 = -r. Solve 0 = 5*b - 25, -2*b + 6 = x - q for x. 2 Let o(d) = -11*d - 17. Let b be o(-5). Let k = b + -33. Solve -k*c = 4*y + 41, 11 - 26 = 3*c for y. -4 Let r be (-5 + (-1 - -4))/(-2). Let j be (1 + 4)/(12 + 14 + -25). Solve 3*d + j*l - r = 3, 0 = 5*d - 4*l + 18 for d. -2 Suppose -40*q + 18 = -31*q. Solve 0 = -k + q, 4*l + 0*k - 22 = -k for l. 5 Let w(r) = -13*r**2 + 132*r + 20. Let i be w(10). Solve -f = u - 2, -5*f + 2*u = -3*u + i for f. -3 Let j(i) = -8*i**2 + 3*i + 2. Let r be j(-2). Let p = -23 - r. Solve 1 = -3*u - 2, -5*x - p = 3*u for x. -2 Suppose 75*k = 69*k + 6. Solve z = k, -4*r - z - 6 = -3*z for r. -1 Let p be (25 + -19)/(((-8)/6)/(-2)). Suppose -p*c = -
{ "pile_set_name": "DM Mathematics" }
2? -2 What is the closest to 15 in -3, 6, -4? 6 What is the nearest to -0.056 in 2/3, 0.41, -0.15? -0.15 Which is the nearest to -2? (a) 4 (b) 0.3 (c) -11 (d) -640 (e) -1 e Which is the closest to -0.3? (a) -0.3 (b) -2/25 (c) -0.27 (d) 3 (e) -2 a What is the nearest to 1/2 in 7, -5, 478? -5 Which is the nearest to 5/3? (a) 8 (b) -3/16 (c) -74 b What is the nearest to -2/7 in 0.3, -8, 10, 40, -4? 0.3 What is the nearest to 1 in -1, -4.5, -0.6? -0.6 What is the closest to -2/9 in 2, 12921, -4? 2 What is the closest to 7816 in -1, -2/7, -3/32, 0? 0 What is the closest to -0.07 in -37, 55, -2/3? -2/3 What is the closest to -2/5 in -0.3, -0.08, -34, -5? -0.3 Which is the nearest to 0? (a) 0.1 (b) -1 (c) 2/7 (d) -871 a Which is the closest to 204? (a) -39 (b) -2/7 (c) 15 c Which is the nearest to -1668? (a) -2/9 (b) -9 (c) -2/5 b Which is the nearest to 10? (a) -2/7 (b) -1/3 (c) 12/11 (d) 8/7 d What is the nearest to 0 in 2, 44, 3, 180? 2 Which is the closest to -1? (a) -0.01 (b) 0.5 (c) 39 (d) 43 (e) -0.2 e What is the nearest to 0 in -0.4, 44, -1.122, -3? -0.4 Which is the closest to -1? (a) 6.6 (b) -136 (c) -2 (d) 4 (e) -4 c Which is the nearest to -2/3? (a) 4 (b) -5/6 (c) -2/15 (d) -5 (e) 1/2 b What is the nearest to 1 in -0.4, -5, -9, -2/9? -2/9 What is the nearest to -0.9 in -1/8, 0, -1/3, 0.74, 1? -1/3 Which is the closest to -0.25? (a) -31 (b) 0.2 (c) -7 (d) 0 d What is the closest to -2 in -4/797, -1/2, -4, -4/5, 5? -4/5 Which is the nearest to 1/4? (a) 26 (b) 0.8 (c) 3 (d) 1/7 (e) -1/9 d Which is the nearest to 1? (a) -4/5 (b) 1/6 (c) -835/3 (d) -1.1 b Which is the nearest to -3? (a) 8/2781 (b) -5 (c) 5 b What is the closest to 0.23 in 5, -3, -2.2, -19, 3? -2.2 Which is the nearest to 0.3? (a) 0.067 (b) 4 (c) 0 (d) 2 (e) 39 a What is the closest to 2/11 in -4/23, 0.2, -3/4, -0.1? 0.2 Which is the nearest to 77? (a) -3 (b) -3/5 (c) 1244 b What is the nearest to -1018 in 3, 0.5, 21? 0.5 Which is the nearest to 16? (a) -2/7 (b) -3 (c) -14/25 (d) -3/5 (e) 1/9 e Which is the nearest to 6? (a) 5 (b) 1/1090 (c) -3 a What is the nearest to -2 in -158/37, 5, 0.5, 3? -158/37 Which is the closest to -0.1? (a) 7/13 (b) 2/5 (c) 2/53 c What is the nearest to -6448 in -2, -3.8, -0.1? -3.8 Which is the closest to -1? (a) -6 (b) 100 (c) 0.1 c Which is the nearest to -4? (a) -393 (b) 2/17 (c) -93 b Which is the closest to 11? (a) -1/4 (b) -0.01 (c) 71 (d) 0.3 d Which is the closest to 75? (a) 0.1 (b) 0 (c) 0.4 (d) 2 d Which is the nearest to -0.6? (a) -19 (b) 0.3 (c) 1/6 (d) -0.9 d What is the closest to -2/21 in 27/4, 65, 4, -0.4? -0.4 Which is the nearest to -3/7? (a) -3 (b) 0.4 (c) 3 (d) 1/6 (e) 170 d What is the closest to 13 in -2/59, -0.3, -2, 0.1? 0.1 Which is the closest to -0.09? (a) -5 (b) 1/3 (c) 2247 b What is the closest to 1 in 0.3, -2181, 0.17, -2? 0.3 What is the nearest to 2/21 in -5, 4, 0.42, 1/16? 1/16 Which is the nearest to 1? (a) -0.5 (b) 1.2 (c) 3/7 (d) 1/3 (e) 11 b Which is the closest to -0.3? (a) -4.8 (b) 2 (c) 0.5 c What is the closest to 0.4 in -1/3, 120/7, -5, 0.1? 0.1 Which is the closest to 0? (a) -4 (b) 1/2 (c) 2/249 c Which is the nearest to -0.1? (a) 40.4 (b) 1/46 (c) 1/3 b Which is the closest to -0.2? (a) -0.1 (b) 78 (c) -9 (d) -32 a Which is the nearest to -0.06? (a) 1921 (b) -0.1 (c) -5 b What is the nearest to -1/2 in 1/6, 2/11, -3/1979? -3/1979 Which is the closest to -0.2? (a) -0.5 (b) 4/9 (c) -2/23 (d) 3/5 c Which is the nearest to -4/3? (a) -24/11 (b) 1/8 (c) 1/3 a Which is the closest to 0.1? (a) 0 (b) -4 (c) -0.5 (d) 198 (e) -0.3 a Which is the closest to 2/21? (a) 0 (b) -0.4 (c) 0.02 (d) -1/3 (e) 2/1387 c Which is the closest to 0.3? (a) 0.01 (b) 0.5 (c) 1 (d) -0.037 b Which is the closest to 0? (a) -40 (b) -13 (c) -4 (d) -538 c Which is the nearest to -7? (a) 292.9 (b) 3 (c) 0 (d) 0.4 (e) -0.1 e What is the nearest to -1 in 25.9, 1.3, -0.1, 0.3? -0.1 What is the closest to 1/8704 in -3, 18, 0.5? 0.5 What is the closest to -0.5 in 35, -3, 6, 4/9? 4/9 What is the closest to -1/3 in 0, -0.7, -1/5, -1/4, 77? -1/4 Which is the closest to -1/4? (a) 1/3 (b) 6 (c) 31 a What is the closest to -1 in -2, -70, 446, 4? -2 What is the nearest to 1 in 16, 1/2, 116? 1/2 Which is the nearest to -0.029? (a) 26 (b) 4 (c) 1/2 (d) 3 (e) 0.61 c What is the closest to 0.07 in -199, -3, -0.14? -0.14 What is the closest to 0 in 2/7, 114/13, 31? 2/7 What is the nearest to -1/9 in -3, 7.18, -4, -0.5? -0.5 What is the closest to -4/5 in -8, -2.2, 3, 53, -0.2? -0.2 What is the closest to 2/11 in -0.03, 0.03, -0.1, -2? 0.03 What is the closest to 0.1 in -12, -0.154, -0.2? -0.154 What is the closest to -2 in -0.4, -4, 1.6825? -0.4 Which is the nearest to 1? (a) 6 (b) 3 (c) 18 b What is the nearest to 0 in -2, 17.615, -3, 0.3, 4? 0.3 Which is the closest to -2? (a) -644 (b) -8 (c) -5 (d) -2 d What is the nearest to 0.2 in -188, 3/4, -1? 3/4 Which is the closest to -4? (a) -4 (b) 0 (c) -6.2 (d) -2/13 a What is the nearest to -81 in 3/2, -34, 0.22, -3? -34 What is the closest to 2671 in 4, 2/7, -2/13, -0.01, -3/2? 4 What is the nearest to 3/385 in -96, 2/3, -0.4? -0.4 What is the closest to 0.1 in 0, -2, 3, -3, 6/7? 0 What is the nearest to 2 in 27, -0.5, 1/8, 0.5, -1/4? 0.5 What is the nearest to 1 in -8, 4, 3/5, 0.378? 3/5 What is the closest to -0.1 in 1.7, 47, 0.1, 1/6? 0.1 Which is the nearest to -15? (a) -0.5 (b) -1/83 (c) 2/9 (d) -1/5 (e) 1 a What is the nearest to 3/4 in -70, -2, -1? -1 What is the closest to -38 in 4, -1/4, 69? -1/4 Which is the closest to -2? (a) -2 (b) -42 (c) 10 (d) 3 a Which is the closest to -0.07? (a) 26 (b) 0.12 (c) 2/7 b Which is the nearest to -1? (a) -2 (b) 2/11 (c) -3/8 (d) -159/5 (e) 3/7 c Which is the closest to 1772? (a) -0.2 (b) -4 (c) -0.5 a What is the closest to 0.7 in 0, 1/3, -3/2, 4, -182? 1/3 Which is the nearest to -3? (a) -19 (b) -1 (c) -3/101 b Which is the nearest to -5? (a) -43/8 (b) 0.1 (c) 6/5 a What is the closest to 0.1 in 1/4, -7, 0.4, 0.386, 4? 1/4 Which is the closest to -0.022? (a) 186 (b) -5 (c) 1 c Which is the nearest to -2/7? (a) 13 (b) -0.1 (c) 5 (d) 4/39 b What is the nearest to 1 in 23, 0.1, -9, -4? 0.1 Which is the closest to -0.1? (a) -4 (b) -1/12 (c) -46 (d) 1/3 b Which is the nearest to -2? (a) -143 (b) 5 (c) 0.3 (d) 34 c Which is the nearest to 0.0434? (a) 102 (b) -2 (c) -3 b What is the nearest to 0.1 in -0.4, 0.5, -532, -1/4, 9? -1/4 Which is the nearest to -1/3? (a) 0.06 (b) -1 (c) -2/33 (d) 0.5 (e) -0.094 e Which is the nearest to -1.1? (a) -29/2 (b) 0.1 (c) 1.3 (d) -1/9 d Which is the nearest to 0.43? (a) -1/200 (b) -5 (c) 5 (d) -4 a Which is the closest to -17? (a) -2 (b) -8.44 (c) -0.4 (d) 1 (e) 3 b Which is the closest to 55? (a) -2/7 (b) -101 (c) 0 c What is the nearest to 0.1 in -118, 2/563, 4, -2? 2/563 Which is the closest to 0? (a) -1/5 (b) 0.08 (c) -1.4 (d) 4 b Which is the nearest to 0.2? (a) -3/961 (b) 58 (c) -3 (d) -6 a Which is the closest to -0.7? (a) -837 (b) 2/9 (c) 5 (d) 0 d What is the nearest to -2/7 in 5.4, -0.023, 0.2, 2/15, -2/3? -0.023 What is the closest to -0.8 in -1/5, -4, 5, 3/22, -0.4? -0.4 What is the closest to -2/7 in -3, 0.4, 0.1, 12? 0.1 Which is the closest to 0? (a) 0 (b) 2/7 (c) 1251 (d) 1/4 (e) -2 a Which is the nearest to -0.3? (a) 40261 (b) -0.2 (c) -0.5 b What is the closest to 0 in -16, -1, 1549? -1 What is the nearest to 3/26 in -0.4, -1/9, 2/11, 5? 2/11 What is the nearest to 0.1 in 3, 1, -1/12, 0.46? -1/12 Which is the closest to -4/5693? (a) -5 (b) -1/4 (c) 0.1 (d) 1 c What is the closest to -553 in 3/7, 1/3, 48, -5? -5 Which is the closest to 2/7? (a) 2/7 (b) -1 (c) 0.17 (d) -29 a Which is the closest to -13? (a) 2 (b) -21 (c) -3/5 (d) 5 b Which is the nearest to 0.1? (a) 36 (b) -2/9 (c) -1/404 c Which is the closest to 2/5? (a) 3/5 (b) -3 (c) -0.1057 a Which is the closest to 1? (a) 5/19 (b) -2 (c) 0.5 (d) 0.4 (e) -0.132 c Which is the nearest to -281? (a) -5 (b) 5 (c) 2/9 (d) -11 (e) 2 d Which is the closest to -1? (a) -1 (b) -2/5 (c
{ "pile_set_name": "DM Mathematics" }
w. Suppose 67 = 5*b + 7. What is the greatest common divisor of w and b? 12 Let i(o) = -3*o + 382. Let g be i(-22). What is the greatest common factor of g and 84? 28 Let s be -4 + -6*(-4 + 1)/(-6). Let z(w) = w**3 + 9*w**2 + 5*w - 8. Let x be z(s). Calculate the highest common divisor of x and 605. 55 Suppose -11*d - 2*v + 32 = -9*d, 4*v = d + 9. Calculate the highest common divisor of 198 and d. 11 Let l(m) = 13*m**2 + 7*m - 13. Let b be l(12). What is the greatest common divisor of b and 67? 67 Let p be 1082/(-14) - (-2)/7. Suppose 279 = -10*o - 1091. Let i = p - o. What is the greatest common divisor of i and 24? 12 Let l be (1296/(-30))/((-2)/10). Let y = l + -108. Suppose -y = -5*z + 92. What is the highest common factor of z and 16? 8 Suppose -224 = -8*g + 256. What is the highest common divisor of 135 and g? 15 Suppose -4*n - n = -2335. Let f = n - 180. What is the greatest common factor of 41 and f? 41 Let v = 41 - 36. Suppose 0 = -2*a - 2*r + 39 - v, 3*r + 21 = 3*a. What is the greatest common divisor of 4 and a? 4 Suppose 0 = 5*v - 37 + 2. Suppose -4*p = 20, v*y - 105 = 3*y + p. Suppose -6*h = -h - y. Calculate the greatest common factor of h and 15. 5 Let i(p) = 22*p + 382. Let a be i(-16). What is the greatest common factor of 590 and a? 10 Let a be 14/1 + -2 + 3. Let y be ((-25)/20)/(2/(-96)). Calculate the highest common factor of y and a. 15 Let d(j) = 14*j + 2. Let a be d(6). Let x = a + -6. Let f(o) = 7*o - 3. Let y be f(5). What is the greatest common factor of y and x? 16 Suppose -2*y + 660 = 20*q - 15*q, -2*q + 264 = -2*y. What is the greatest common divisor of 286 and q? 22 Suppose 390 = 4*f + f. Let h be 12/(-102) + 219/(-17). Let k(g) = -g**3 - 12*g**2 + 11*g. Let m be k(h). What is the highest common factor of f and m? 26 Let j = -15 + 19. Suppose j*w = 13 + 35. Suppose -197 - 43 = -4*g. What is the greatest common divisor of g and w? 12 Suppose 76*j = 70*j + 198. What is the highest common divisor of j and 121? 11 Suppose 288 = 14*k - 2*k. Calculate the greatest common divisor of 208 and k. 8 Let h(c) = -c**2 + c - 1. Let d be h(0). Let l be (0 - -37) + (-2 - d). Let i be (-2030)/(-493) + (-6)/51. Calculate the greatest common factor of i and l. 4 Suppose -164*w + 150*w = -1274. Calculate the highest common factor of 2821 and w. 91 Let k(o) = -26*o + 1. Let x be k(-1). Let m(d) = -19*d + 437. Let t be m(23). Suppose -3*q = -t*q - x. Calculate the highest common divisor of 72 and q. 9 Let q be (-1)/4 - (-1300)/16. Suppose 5*x = z + q, 0 = x + 4*x - 3*z - 83. Let a be (-1)/((-7)/894) + 40/140. Calculate the highest common factor of x and a. 16 Let k be (8/(-10))/((-2)/10). Let y = 56 - 2. Let c = -50 + y. Calculate the greatest common factor of c and k. 4 Suppose 60 = j + 4*j - 5*t, -j + 4*t = -6. Calculate the highest common factor of j and 1134. 14 Let p be (1 - (-30)/21)/(1/7). Calculate the greatest common factor of 4 and p. 1 Let v(u) = 11*u**2 - u - 8. Let o be v(-5). What is the greatest common divisor of o and 34? 34 Suppose -t = 3*s - 7, 15 - 31 = -4*s + 2*t. Suppose j + j = 18. What is the highest common divisor of j and s? 3 Suppose 11*k + 81*k = 3036. Calculate the highest common divisor of 44 and k. 11 Let t = 49 + -40. Let m(l) = l**2 - 9*l + 22. Let c be m(t). Calculate the greatest common divisor of 242 and c. 22 Suppose -4*m = -6*m - 2*n + 28, 2*m + 3*n = 29. Let l = 16 - m. What is the greatest common factor of l and 9? 3 Let f(a) = a**3 + 7*a**2 + 12*a + 31. Let u be f(-5). What is the highest common divisor of u and 14? 7 Suppose 0 = 2*i - 3*i, 3*v = 5*i + 1155. Calculate the greatest common divisor of v and 110. 55 Suppose 0*l - l + 2*r + 86 = 0, 2*l - 140 = -4*r. What is the greatest common divisor of 260 and l? 26 Let t(c) = 2*c - 23. Let m be t(0). Let k = -18 - m. Calculate the highest common factor of k and 25. 5 Let h(y) = y**3 + 5*y**2 - 15*y - 7. Let p be h(-7). Suppose -t + x + 2*x + 64 = p, -3 = x. Calculate the highest common divisor of 22 and t. 11 Suppose 3*j = -172 + 187. Calculate the highest common divisor of j and 515. 5 Let x be ((-2)/6)/(-3*8/4968). Calculate the highest common factor of 69 and x. 69 Suppose 0 = 4*v + l - 78 - 183, -5*l - 167 = -3*v. What is the highest common divisor of 128 and v? 64 Let j be (-1516)/(-40) + 3/30. Let w = -5 - -9. Suppose l - j + w = 0. What is the highest common divisor of 51 and l? 17 Suppose -2*w - 4*k + 32 = 0, 0 = -0*w + 4*w + 4*k - 48. Let v = 17 + -9. Calculate the highest common factor of v and w. 8 Let n be ((-2)/3)/((-50)/525). Calculate the highest common factor of n and 2. 1 Suppose 39*a - 35*a - 72 = 0. What is the highest common divisor of a and 126? 18 Let k = -2 - -8. Let f(c) = 6*c - 3. Let a be f(k). Let n(p) = 4*p**2 - 3*p + 66. Let l be n(9). Calculate the highest common factor of a and l. 33 Let r(x) = x**2 + 4*x - 5. Let b be r(7). Suppose -30 = -14*t + 82. What is the greatest common divisor of b and t? 8 Let f be (-9)/(648/(-880)) - (-4)/(-18). Let p(z) = 2*z**2 - 6*z. Let v be p(4). What is the greatest common factor of v and f? 4 Suppose 0 + 10 = 2*f - 2*v, 0 = 4*v + 8. Let n be 0 + f*(-38)/(-6). Suppose k + 4 - n = -4*j, -4*j = -k + 15. What is the highest common divisor of k and 15? 15 Let j(u) be the second derivative of -2*u**3 - u**2/2 - 2*u. Let p be j(3). Let k = 86 + p. What is the greatest common factor of 7 and k? 7 Let d = 424 - 346. What is the greatest common factor of d and 104? 26 Suppose 4744 = 4*u + 4*b, 1914 - 6644 = -4*u + 3*b. Calculate the greatest common factor of 37 and u. 37 Suppose -143 = 8*c - 311. Let a(y) = -y**3 + 8*y**2 + 11*y - 11. Let m be a(9). What is the greatest common factor of c and m? 7 Let u(i) = 4*i - 56. Let r be u(21). Calculate the greatest common divisor of 308 and r. 28 Suppose -2*w = 2*w - 36. Let t(d) = 1 - 1 + 2 + w*d + 1. Let m be t(3). Calculate the greatest common factor of 10 and m. 10 Let c = 3 + 0. Let j be ((-27)/(-5))/((-1)/(-5)). Suppose 0 = -3*t + 2*t + j. Calculate the greatest common factor of c and t. 3 Let j = -357 + 544. What is the greatest common divisor of 17 and j? 17 Suppose -3*f + 2700 - 585 = 0. What is the highest common factor of f and 15? 15 Let l = 58 - 53. Suppose l*u - 988 = 772. What is the highest common divisor of u and 32? 32 Let j be 1*(21 - (-6 - -2)). Calculate the greatest common factor of j and 5. 5 Suppose 6*h + 0*h = 1836. What is the highest common divisor of h and 36? 18 Let x = -617 - -761. What is the greatest common divisor of 648 and x? 72 Let x be 54/(-10)*(-26 - -21). Let g = 245 - 110. What is the greatest common factor of x and g? 27 Let z be 915/(-12) + (-3)/4. Let i be (5 + z)*2/(-6). Suppose -3*p + a + 13 = -4*a, 5*a - 5 = 0. What is the highest common divisor of i and p? 6 Suppose -37 + 136 = 11*n. What is the greatest common factor of n and 18? 9 Suppose -5*k = 2*x - 80, -x + 3*k = -29 - 22. What is the greatest common factor of x and 1? 1 Let i be (-60)/(-14) + (-8)/28. Suppose -i*n - b - b = -758, -394 = -2*n - 4*b. What is the highest common factor of 17 and n? 17 Let i(n) = -2*n**3 - 3*n**2 - 6*n - 7. Let w be i(-3). Suppose -2*r + w = 10. Calculate the highest common factor of 112 and r. 14 Let o be 672/8 + 2/2. Suppose -f - 40 = -9*f. Calculate the greatest common factor of f and o. 5 Let x = -129 + 274. Let r = x + -104. What is the highest common factor of r and 369? 41 Let b be (-18)/(-3) + 2/(-1). Suppose -5*o - 2*x - x + 119 = 0, b*x - 12 = 0. What is the greatest common divisor of 22 and o? 22 Suppose -14*b + 10*b = 0. Suppose -5*l + 308 - 98 = b. Calculate the highest common divisor of l and 28. 14 Let m(p) = 10*p - 1. Let g(o) = -o. Let z(v) = -3*g(v) - m(v). Let t be z(-2). Let a be (-1)/((15 - 25)/1200). Calculate the greatest common divisor of a and t. 15 Let a = 110 + -115. Let o be (a + (-70)/(-6))*27. Let p = 4 - -16. What is the greatest common divisor of o and p? 20 Suppose -11 = -5*z + 9, 7 = 3*w + z. Let s be (w/(-2))/(1/2). Let o be (s - -120) + 1 + 0. What is the greatest common divisor of 15 and o? 15 Suppose 5*o + r - 3839 = -1085, -o - 2*r = -549. What is the highest common divisor of 29 and o? 29 Let z be (4 - 2)*(-18)/(-12). Suppose -2*w - z*w + 30 = 0. Let g be (9/(-6))/(w/(-140)). C
{ "pile_set_name": "DM Mathematics" }
(4)? 1 Suppose -105*o = -109*o + 2*w + 2266, 3*o + 3*w = 1722. What is the units digit of o? 9 Suppose 17 = u + 14. What is the tens digit of ((-7)/(7/2))/(u/(-72))? 4 Suppose 0 = 3*v - 2*q + q - 768, -5*q = 0. What is the units digit of v? 6 Let k = 463 + -461. What is the units digit of k? 2 Let d(r) = r**2 + 15*r - 17. Let t be d(-16). What is the tens digit of -171*(1/3)/t? 5 Let f = -573 + 903. What is the tens digit of f? 3 Let q(w) = 7*w - 154. What is the units digit of q(29)? 9 Suppose -4*s = -3*o - 6*s + 30, -4*s = -5*o + 50. Let j = o - 10. Suppose j*l + l - 14 = 0. What is the units digit of l? 4 Suppose 0 = 3*f - 2*x - 1489, -4*x - 358 = 2*f - 1372. What is the hundreds digit of f? 4 Let h(m) = m**3 + 7*m**2 + 12*m - 6. Let u be h(-7). Let z = 203 + u. What is the hundreds digit of z? 1 Let j(g) = g**2 - 7*g + 10. Let h be j(3). What is the tens digit of (-1064)/(-72) + h/(-9) + 0? 1 Let g(h) = 8*h**2 - 4*h**2 - 2 + 2*h**2 - 2*h. Let t be g(2). Suppose t*w = 13*w + 20. What is the units digit of w? 4 Suppose 0 = 5*d + w - 1005, -8*d + 3*d = -2*w - 990. What is the hundreds digit of d? 2 Suppose 17*b + 230 = 22*b. Suppose 0 = t - h - 16, -2*t = -t + 5*h - b. Suppose 0 = -4*i + t + 59. What is the units digit of i? 0 Let i be 34/8 - (-2)/(-8). Suppose -5*q + 10*t - 9*t + 13 = 0, 3*t = q - 11. Suppose 4*b - q*b = i. What is the units digit of b? 2 Suppose -252 = 9*k - 2*k. Let g = 21 - k. What is the units digit of g? 7 Let z(u) = 8*u**3 - 2*u**2 + u. Let m be z(1). Let a(g) = -g**2 + 12*g - 26. Let x be a(9). Suppose x - m = -3*j. What is the units digit of j? 2 What is the tens digit of 4/104*4 + (-864662)/(-299)? 9 Suppose 0 = -3*o + 205 + 38. Let x = o + -67. What is the tens digit of x? 1 Let z(l) = -l**2 - 7*l + 19. Suppose -3*d - 19 - 8 = 0. Let w be z(d). Suppose x - 28 = -w. What is the units digit of x? 7 Let d = 1275 - 874. What is the tens digit of d? 0 Let a(b) = -3*b - 2. Let d be a(5). Let f(w) = -w**2 - 18*w + 5. What is the tens digit of f(d)? 2 Suppose 3*z = 4*z - 5*p - 391, z = p + 411. What is the hundreds digit of z? 4 Let k(c) = 495*c + 1036. What is the thousands digit of k(6)? 4 Let d be (-4 - -7)/3*2. Suppose 2*p - 5*o = 156 + 7, 0 = -p + d*o + 81. Suppose p = 2*m + 23. What is the units digit of m? 8 Suppose -3*q = -p - 6, 4 = p - 4*q + 8. Let g(f) = -f**3 - 13*f**2 - 17*f - 12. What is the units digit of g(p)? 8 Suppose 13115 = 8*k - 309. What is the hundreds digit of k? 6 Let o(p) = -5*p + 2. Let y be o(-4). Suppose y = -2*g + 6. What is the tens digit of 2/(-2) + 3 - g? 1 Let w(m) = -68*m**2 + m + 5. Let b(c) = -c**2 + 1. Let q(g) = 6*b(g) - w(g). What is the tens digit of q(1)? 6 What is the hundreds digit of -118*(-7 - -4) - -5? 3 Suppose s = -8*s + 63. Suppose 146 = l - 4*z, 3*z - s*z + 518 = 3*l. What is the tens digit of l? 6 Let j(x) = x - 4. Let o be j(-6). Let b(g) be the second derivative of -g**4/12 - 2*g**3 - 5*g**2/2 + 17*g. What is the units digit of b(o)? 5 Let p(n) = 11*n**2 - 13*n + 10. Let v be p(-15). What is the hundreds digit of v/22 - (-2)/11? 1 Let y be 2/(4/(-2)) - (29 + -31). Let c(f) = f**2 + 3*f + 3. Let z be c(-4). Let r = z + y. What is the units digit of r? 8 Let o(x) = -x**3 + 9*x**2 + x - 12. Suppose -4*d - 5*t + 28 = 0, -4*t = -2*d - 5*t + 14. What is the units digit of o(d)? 3 Let b = 0 - -8. Let s(w) = -4 - 2*w - 2*w + b. What is the tens digit of s(-7)? 3 Suppose 4*m - u + 198 = 0, 25 = 2*m - 2*u + 121. Let y = m - -72. What is the tens digit of y? 2 Suppose 0 = -2*r + 6, m - 4*r = -8*r + 12. Let u(o) = o - 16. Let i be u(16). Suppose m*w - w + 28 = i. What is the units digit of w? 8 Suppose 5*y = -2*s + 67 + 9, -3*s = 3*y - 114. Suppose u - s - 13 = 0. What is the tens digit of u? 5 What is the thousands digit of 52/91 - (72708/(-14) + -4)? 5 Suppose 14235 = 5*z - 5*i, -z + 3*i + 2867 = 7*i. What is the hundreds digit of z? 8 Let m(g) = 10*g - 47. What is the hundreds digit of m(16)? 1 What is the tens digit of 1*2 + 12420/(2 + 8)? 4 Let t = 9 - 4. Suppose 4*c - 32 = g, 2 = 2*c - t*g - 14. What is the units digit of (-24)/(c/6 - 2)? 6 Let s = 62 - 46. Suppose -s*i - 4 = -17*i. What is the units digit of i? 4 Let q(h) = -22*h + 21. Let w be q(-9). Let c = -139 + w. What is the tens digit of c? 8 Let j(s) be the second derivative of -s**5/10 - s**4/4 + 5*s**3/6 - 3*s**2 - 20*s. What is the units digit of j(-4)? 4 Let q = -747 + 1304. What is the hundreds digit of q? 5 Let r(k) = -6*k**2 + 6*k - 6. Let q(d) = 18*d**2 - 17*d + 18. Let y(x) = 3*q(x) + 8*r(x). What is the units digit of y(4)? 0 Suppose -12*a - 14*a + 46046 = 0. What is the thousands digit of a? 1 Let z(l) = -l**3 + 11*l**2 + 2*l - 16. Let i be z(11). Suppose 108 = i*b - 54. What is the units digit of b? 7 Let n(l) = 17*l**2 - 3 - 13*l + 28*l - 11*l. What is the tens digit of n(1)? 1 Let c(f) = 2*f**3 + 31*f**2 - f + 32. What is the units digit of c(-14)? 4 Let h = -4072 - -5837. What is the hundreds digit of h? 7 Let v(i) = i**3 + 3*i**2 - 6*i + 5. Let u be v(-4). Let g(a) = 23*a - 8. What is the tens digit of g(u)? 9 Suppose 4*x + 2*b = -b + 883, 0 = -3*x + 2*b + 641. Suppose -7*f + 0*f + x = 0. What is the tens digit of f? 3 What is the tens digit of 246 + (-1)/((-3 - -7) + -5)? 4 Suppose -8*v = -13*v - 180. Let t = 82 + v. What is the units digit of t? 6 Let v(k) = 7*k**3 - 2*k**2 + 13. Let f(x) = -13*x**3 + 3*x**2 - 25. Let j(b) = -6*f(b) - 11*v(b). What is the units digit of j(-3)? 6 Let n = 15 - 9. Suppose 3*r - n = 0, 2*r + 56 = 2*m + 4*r. Suppose -m = -d - 4*u + 3*u, 5*u + 180 = 5*d. What is the tens digit of d? 3 Let p(l) = 6*l + 5. Let o(g) be the second derivative of g**3/3 - 5*g**2/2 + 7*g. Let r be o(6). What is the units digit of p(r)? 7 Let k = 16 + -58. Let q = k + 62. What is the tens digit of q? 2 Let g be (5 - 4)*1 + 78 + 3. What is the tens digit of -2 - -3 - g*-1? 8 Let g(p) = 6*p + 23. Let a be g(-3). Suppose l - 5*l - 5*m = -347, l - a*m - 118 = 0. What is the units digit of l? 3 What is the units digit of 9140223/2919 - (-1)/((-14)/4)? 1 Suppose -3*h = 2*y - 467, -5*h - 4*y + 1146 = 365. What is the hundreds digit of h? 1 Suppose -164 = 36*n - 6212. What is the hundreds digit of n? 1 Let j be (-2)/((-22)/(-6) - 3). What is the units digit of j/(-4) + 1940/16? 2 Let j = -156 - -150. What is the units digit of (j/18)/(1/(-108))? 6 What is the tens digit of -3 - (-12)/2 - -485? 8 What is the thousands digit of (28/6)/(6/3681)? 2 Let m(l) = l**3 + 4*l**2 + 4*l. Let a be m(-4). Let b(n) = -n**3 + 11*n**2 - 9*n - 3. Let r be b(10). Let i = r - a. What is the units digit of i? 3 Suppose -3*v - 154 = -c, -2*v - v - 149 = -2*c. Let y = v + 74. What is the units digit of y? 1 Suppose -4 = 4*u, -4*u - u + 270 = 5*h. What is the units digit of h? 5 Suppose 15*u + 9795 - 75285 = 0. What is the thousands digit of u? 4 Suppose 0 = 5*x - 4*h - 2221, 0*h = -2*x + 5*h + 902. What is the hundreds digit of x? 4 Let f = -45 + 93. What is the tens digit of (333/(-12))/((-18)/f)? 7 Let p be -4 - 244/(-28) - 24/(-84). Let v(y) = y + 3. Let r be v(4). Suppose -3 = -2*q + 3*h + r, q - 5 = -p*h. What is the units digit of q? 5 Suppose 3*b + 2 = -4*a, a - 1 = b - 5. Suppose b*p - 40 = 14. What is the tens digit of p? 2 Let s(o) be the second derivative of 3*o**5/20 - 4*o**4/3 + 7*o**3/6 - 2*o**2 + 21*o. What is the units digit of s(6)? 0 Let p(o) = -o**3 - 17*o**2 - 29*o + 18. Let v be p(-15). Suppose -w + 2*s = -120, -v*s + 8 = s. What is the units digit of w? 4 Let w be 4/24 + ((-170)/12)/(-5). What is the units digit of (53 + -2 + w)*2? 8 Let j be 56/(-12) - (-1)/(-3). Let d(k) = -4*k**2 - k + 1 + 3*k**2 - k**3 + 0*k - 4*k**2. What is the units digit of d(j)? 6 Let u(h) = -h**3 - 5*h**2 - 15*h - 31. What is the hundreds digit of u(-8)? 2 Let g = 8611 - 2937. What is the hundreds digit of g? 6 Let q(u) = -2*u + 11*u - 1 + u + 4. Let g be q(3). Suppose 5*m - g = 22. What is the tens digit of m? 1 Suppose -r - 23184 = -13*r. What is the thousands digit of r? 1 Let o(b) be the second derivative of -16*b**3/3 - 3*b**2/2 + 3*b. Suppose 6*k + 5*r = 3*k - 23, -4*k - 16 = 3*r. What is the tens digit of o(k)? 2 Suppose 22 + 13 = 5*t. Suppose q - 26 + 2 = 0. Let s = q - t. What is the units digit of s? 7 Suppose 2*j
{ "pile_set_name": "DM Mathematics" }
m: 7}. What is prob of sequence mmm? 1 What is prob of sequence dg when two letters picked without replacement from {l: 1, n: 1, q: 2, g: 2, d: 1, a: 1}? 1/28 Two letters picked without replacement from {u: 1, t: 2, g: 1, i: 2, p: 3, o: 3}. What is prob of sequence oo? 1/22 Four letters picked without replacement from zszzrrrurzurzrrrzwr. What is prob of sequence rrwz? 3/646 Three letters picked without replacement from zmmzzmmzwkmww. Give prob of sequence kmw. 5/572 Two letters picked without replacement from {t: 1, o: 2, g: 2}. What is prob of sequence gg? 1/10 What is prob of sequence vv when two letters picked without replacement from {e: 2, v: 9, m: 6}? 9/34 What is prob of sequence qcbi when four letters picked without replacement from {g: 2, s: 3, i: 3, q: 4, b: 2, c: 1}? 1/1365 What is prob of sequence fa when two letters picked without replacement from {f: 1, a: 1, o: 1, d: 1, m: 1, b: 2}? 1/42 What is prob of sequence momm when four letters picked without replacement from ooooooommoo? 0 Calculate prob of sequence fmi when three letters picked without replacement from {g: 1, i: 2, f: 1, m: 1}. 1/30 What is prob of sequence aas when three letters picked without replacement from aafsaassa? 5/42 What is prob of sequence mcc when three letters picked without replacement from {c: 2, m: 1}? 1/3 What is prob of sequence bs when two letters picked without replacement from {b: 2, g: 1, m: 1, s: 4}? 1/7 Four letters picked without replacement from dhhhhhhhhhhdhd. Give prob of sequence hhdd. 5/182 Calculate prob of sequence tmw when three letters picked without replacement from {t: 2, m: 2, c: 6, w: 1, o: 5, f: 1}. 1/1020 Two letters picked without replacement from {y: 1, t: 1, a: 2, x: 2, b: 4, s: 2}. What is prob of sequence bx? 2/33 Two letters picked without replacement from sqsnvrg. What is prob of sequence nv? 1/42 Three letters picked without replacement from hccdhhchdhdch. What is prob of sequence dhh? 15/286 Calculate prob of sequence ib when two letters picked without replacement from irbniqqm. 1/28 Three letters picked without replacement from {r: 1, z: 1, a: 2, k: 2, j: 1}. What is prob of sequence ara? 1/105 Three letters picked without replacement from ggojzjghhojjogjgozz. Give prob of sequence ooh. 4/969 Calculate prob of sequence sb when two letters picked without replacement from mgmgyyygvbgsmg. 1/182 Two letters picked without replacement from {y: 1, z: 2, q: 1}. What is prob of sequence qy? 1/12 Two letters picked without replacement from {k: 2, i: 3, e: 1, b: 1}. What is prob of sequence ei? 1/14 Two letters picked without replacement from {m: 3, e: 1, y: 1}. Give prob of sequence me. 3/20 What is prob of sequence et when two letters picked without replacement from {o: 2, h: 1, t: 1, e: 1}? 1/20 What is prob of sequence ysyy when four letters picked without replacement from {s: 3, b: 1, y: 4}? 3/70 Calculate prob of sequence ynnk when four letters picked without replacement from yyikkinkninkynyyinkk. 5/969 Calculate prob of sequence wwqp when four letters picked without replacement from ppppppwqp. 0 Two letters picked without replacement from {a: 3, e: 5, r: 1}. What is prob of sequence ea? 5/24 Three letters picked without replacement from aaalgajwaaaalamwaml. What is prob of sequence alm? 10/969 Calculate prob of sequence jej when three letters picked without replacement from ppeepejjpppjejp. 8/455 Three letters picked without replacement from {o: 2, l: 2, g: 4}. What is prob of sequence goo? 1/42 What is prob of sequence gx when two letters picked without replacement from grgsgyssxgsgssxgsss? 2/57 Two letters picked without replacement from jjndjjnd. What is prob of sequence nd? 1/14 What is prob of sequence ccx when three letters picked without replacement from xcccxcocxjxcccxcx? 9/85 Three letters picked without replacement from uaafn. Give prob of sequence faa. 1/30 What is prob of sequence hhx when three letters picked without replacement from hkhkhkkxhhxkkhkxkh? 7/272 What is prob of sequence ydy when three letters picked without replacement from {d: 2, y: 18}? 17/190 Two letters picked without replacement from tttttotttttvtkrtgtt. Give prob of sequence rt. 7/171 Two letters picked without replacement from ffffwfwwwfzffz. Give prob of sequence ff. 4/13 Four letters picked without replacement from yvlidyee. Give prob of sequence yvdl. 1/840 What is prob of sequence fff when three letters picked without replacement from fkffkffkffffffff? 143/280 Two letters picked without replacement from {y: 3, z: 3, p: 3, g: 8}. What is prob of sequence pp? 3/136 Calculate prob of sequence ass when three letters picked without replacement from sbsssbbsbssabsssb. 3/136 What is prob of sequence mbnl when four letters picked without replacement from {m: 1, b: 1, l: 1, n: 2, h: 2}? 1/420 Calculate prob of sequence yp when two letters picked without replacement from {y: 8, z: 2, v: 7, p: 2}. 8/171 What is prob of sequence wck when three letters picked without replacement from {w: 5, l: 2, k: 8, c: 2, e: 1}? 5/306 Calculate prob of sequence xh when two letters picked without replacement from bhxhhpf. 1/14 Calculate prob of sequence hd when two letters picked without replacement from pdppapppahthaahp. 1/80 Calculate prob of sequence im when two letters picked without replacement from {o: 2, m: 6, i: 7}. 1/5 What is prob of sequence wg when two letters picked without replacement from {g: 1, c: 4, w: 2, a: 6, p: 3}? 1/120 What is prob of sequence ee when two letters picked without replacement from mmmmemexmmmmmemm? 1/40 Two letters picked without replacement from mmxxxmx. Give prob of sequence mx. 2/7 Calculate prob of sequence pzr when three letters picked without replacement from rrpprrrzrrrz. 4/165 Three letters picked without replacement from {w: 1, v: 1, a: 1, r: 1, i: 1}. Give prob of sequence awv. 1/60 What is prob of sequence wwv when three letters picked without replacement from vwww? 1/4 Two letters picked without replacement from tttttvtttttt. Give prob of sequence vt. 1/12 What is prob of sequence tt when two letters picked without replacement from {t: 9, k: 4, i: 1}? 36/91 Two letters picked without replacement from llkllllellklll. Give prob of sequence ke. 1/91 Calculate prob of sequence ih when two letters picked without replacement from {r: 2, m: 1, h: 1, y: 2, i: 1, p: 1}. 1/56 What is prob of sequence et when two letters picked without replacement from eeeeeeeeeeteeee? 1/15 Four letters picked without replacement from {g: 4, k: 16}. Give prob of sequence kkgg. 8/323 What is prob of sequence dcll when four letters picked without replacement from zddcflcldlll? 1/99 Two letters picked without replacement from jjvjjjjjjjjjv. What is prob of sequence jv? 11/78 Four letters picked without replacement from ildjcdjr. What is prob of sequence dljr? 1/420 Calculate prob of sequence vppk when four letters picked without replacement from {g: 1, l: 3, k: 8, j: 1, p: 2, v: 1}. 1/2730 Three letters picked without replacement from {g: 1, u: 1, c: 2, m: 1}. What is prob of sequence ccu? 1/30 Calculate prob of sequence du when two letters picked without replacement from {q: 1, z: 1, n: 1, d: 3, u: 1}. 1/14 Two letters picked without replacement from {o: 12, q: 6}. What is prob of sequence oq? 4/17 Calculate prob of sequence xs when two letters picked without replacement from xqrqqqxsrsx. 3/55 What is prob of sequence wwjw when four letters picked without replacement from ajjwjajahwwaaajahww? 25/7752 Calculate prob of sequence eett when four letters picked without replacement from eeet. 0 Four letters picked without replacement from {q: 6}. What is prob of sequence qqqq? 1 Two letters picked without replacement from wrrwrhrhttwfwrr. What is prob of sequence rw? 4/35 Four letters picked without replacement from cbcbccbbbc. Give prob of sequence ccbb. 5/63 Calculate prob of sequence jq when two letters picked without replacement from eqqejjjqqjejeqrf. 5/48 Two letters picked without replacement from {j: 1, f: 1, c: 6, g: 3, z: 1}. Give prob of sequence fg. 1/44 Four letters picked without replacement from oouooeoooolooeeouool. Give prob of sequence uluo. 13/29070 Two letters picked without replacement from cxxxfcx. What is prob of sequence x
{ "pile_set_name": "DM Mathematics" }
Calculate -2 + -30 - ((-102312)/76)/42. 1/19 What is (-116)/(-15)*23625/(-3150)? -58 What is the value of (-2 + 18 + ((-4614)/(-78) - 73))/1? 28/13 What is -11 + (27 - 7) + 8515/(-775) + (-5 - -7)? 2/155 Evaluate 30100/(-10750) + 762/(-10). -79 (-8760)/(-258) - (465/(-31) - -49) -2/43 What is the value of (-42)/(28/(-4))*(11/(33/18))/(-4)? -9 What is the value of 85804/(-3192) - (-24)/63? -53/2 Evaluate (-1)/(-19)*(-4 + 2) - ((-1244917)/1007)/(-83). -15 Evaluate ((-3)/(-6))/1 + ((-90)/20 - 15). -19 Calculate ((-6450)/(-756))/(-43)*(29 + 8910/(-300)). 5/36 What is the value of (-1)/(512/(-1600)) - (-6)/(-2)? 1/8 Evaluate -3*23 + 34242/494. 6/19 Evaluate (-2520)/(-54) - (-18 - 1105/(-51)). 43 What is the value of (-35 - (-3848)/(-91)) + (-8)/3*(-21)/196? -77 What is -71 + 36890/280 - 63? -9/4 What is the value of 81/(-77) + (-820)/9020? -8/7 What is (-2688)/(-4928) + (6551/110 - (-8)/(-80))? 60 (0 + -312)*((-2148)/2685)/(12/(-5)) -104 (-26 + 21 - (-4 - -1)) + (-2769)/(-142) + -45 -55/2 What is the value of ((-800)/980)/10*(4 + 43/(-2))? 10/7 Evaluate (2 + 0)/(-6)*((-504700)/3300 - (-8)/(-132)). 51 Evaluate 17/(-7 - ((-1638)/(-21))/(-13)). -17 What is (-109)/(-97773)*-23*-3666? 94 831/(-666) - -2 - ((-2194)/(-128349) + 191/234) -3/37 What is -19 - (1228 - -32)/(-35) - 27? -10 12/(-45)*188/16 + -41*(-34)/10455 -3 What is the value of ((-1664)/(-7164) - 504/2268)*-1? -2/199 Evaluate 72996/(-8415) + 6/(-102) + (6 - 3) + 6. 4/15 What is the value of ((-2)/15)/(604/453)*(-110)/2288*12? 3/52 What is (-74)/(-126) - (-3202)/(-22414)? 4/9 Evaluate ((-5)/((-250)/15))/(((-7)/(-7))/((-14)/7)). -3/5 Calculate ((-806)/91 - -10)*((-4620)/(-8))/(-15). -44 What is the value of (-11)/(-22)*3/(243/990) - (2 - -1)? 28/9 What is (0/((13/(-26))/(2/(-4))))/1? 0 What is 864/36*(5 - 2/(78/299))? -64 2685/44 - -28*21/(-25872) 61 Calculate 97/(89628/(-112))*66. -8 Calculate (-9)/(-27) - (10 + (-423)/45 - 34/90). 1/9 (30/(-150))/(((-27)/(-30))/(84/392)) -1/21 Calculate ((-1)/((-15)/(-11)))/(75 - 25 - (-762)/(-15)). 11/12 Calculate (1908/756)/(71/1491). 53 Evaluate 8436/(-266)*((-35)/(-70) + 3). -111 Evaluate 44 + (3 - 7)/(10/30*12). 43 Evaluate ((-40)/2 - (-189618)/9537)/((-214)/34). 2/107 Evaluate (1/3)/((-403)/186) - -6214*(-46)/62192. -19/4 What is ((-2)/6*3 - 0) + -33*(-1197)/18711? 10/9 Calculate (412/16 - -5)/((-2 - -15) + (-5880)/480). 41 Calculate (-42)/(-4)*((-61)/(3843/(-180)) + -8). -54 (-16)/63*24 - ((-979)/165 + (-4)/60) -2/21 What is the value of (-565400)/(-10450) - (-6 + 60) - (1 - (-4462)/(-4902))? 2/129 Calculate 20/1020*6 + (-10311)/(-357). 29 Evaluate (-24)/(-28) - ((-1456)/(-196) + -7). 3/7 Calculate (108/27 + -29 - -29)*(-14)/(-1). 56 Calculate ((40/6)/10)/((-43)/(-42) + -1). 28 What is ((-192)/40)/8 + (304/228 - 439/585)? -2/117 What is -44*(-4 + (8 - (9 + -7)))/(-2)? 44 What is the value of (12/(-1) + 3800/320)*-328? 41 What is the value of ((-105)/(-126))/(45/(-243))*872/36? -109 Calculate (-3 - (2 - 7))*(-55080)/6480. -17 Evaluate ((-108)/84)/(80/(-70))*(2/9)/1. 1/4 Calculate (1152/(-18) - -59)/(-1). 5 Calculate -22 + 170 + (-156 - -137 - 18/(-2)). 138 104/308*(1749 - 1738) 26/7 What is the value of (-5328)/6660*(0 - (-475)/(-10))? 38 What is the value of 85/(((-54)/12 + 5)/(((-286)/(-65))/22))? 34 What is ((-28858)/987 - -46) + (-24)/2 + -5? -5/21 What is the value of (-45474)/2288 + (24*1 - 3)? 9/8 Evaluate 110/385*-189 + 23. -31 1400/(-318)*(-2256)/402696 - 2/53 -2/153 What is the value of (8325/50)/(-37) + (-5440)/(-128)? 38 Calculate -7 - 1 - ((-323)/44 + 15624/(-8928)). 12/11 What is the value of (-13 + (-539)/(-44))/(63/40)*(-10 + 9)? 10/21 Calculate -1 + (3/(-7) + 68/28)/(108/(-162)). -4 What is the value of (((-2)/((-2010)/5))/(36/540))/((-10)/(-4))? 2/67 What is the value of 36/24*(-485)/15 - (42/12 - 3)? -49 Evaluate (3/(-15))/((-14)/(-34440)*30) + 8. -42/5 What is (-12)/16*270/(-180)? 9/8 What is the value of (299 - 294)*(-1 + 4) - 9779/651? -2/93 Calculate ((-343)/(-735)*(-4)/14)/(-12*27/180). 2/27 Calculate (38 + 4)*(17085/(-595) - (-16 - 11)). -72 What is 363/(-3) - 44944/(-848)? -68 What is (149 - 168529/1143)*(-1 - -19)? 28 -19 - (847/28 - 50) 3/4 What is the value of (2 + (-29)/2)*37572/(-15655)? 30 (-12753)/218*(-40)/130 18 Calculate ((-44 + 14 + 25)/((-5)/2))/(2/(-7)). -7 What is the value of (693/(-5929))/((-11)/14 + 1)? -6/11 What is (-1330)/(-2793)*((-1330)/(-150))/19? 2/9 1900/135 - ((-28)/30)/((-59)/885) 2/27 Calculate 268/(-15)*((-99)/(-44))/((-372)/124). 67/5 Calculate (-53037)/(-5893) - ((-43)/(-5) - -1). -3/5 Evaluate ((-26160)/137340)/((-3)/((-21)/(-26))). 2/39 Evaluate 7/9 - 9406852/70317. -133 8 - (-4 - (-882)/18) -37 What is the value of (-197309)/(-5964) + 47/12 + 16/(-12)*3? 33 3/(-4) + ((-66)/(-156))/(7 + 138/(-18)) -18/13 Evaluate (-7)/(-190)*172/33712*-112. -2/95 Evaluate 16/13*14976/2304 - 97/11. -9/11 Evaluate 11/(-26)*(-770)/847. 5/13 Evaluate (75/20)/(209/(-1216)) - -18. -42/11 Calculate 5178/1726*(-53)/(-9)*3/(-1). -53 What is (-12)/7*(9/51 - 248480/5440)? 78 What is 22485568/(-227264) - 8/134? -99 37*(-25)/(-3700)*-152 -38 What is the value of (-1082)/18 - -6 - (-928)/(-1044)? -55 Evaluate -66*((-2632)/336 - -7). 55 What is 108 - (-13)/2*(36/8 + 42159/(-7774))? 102 Evaluate (462/(-110))/(2/10). -21 What is the value of (-15316)/52512*32/(-42)? 2/9 Calculate ((-1909)/69 + 27)/(((-80)/6)/(-4)). -1/5 What is (-249)/(-15) - (-9 - -13) - (-43 + 55)? 3/5 ((-1349)/(-2698))/((-21)/(-2)) 1/21 What is (-1 + 24 - (80 - 36 - 19)) + (-153)/(-75)? 1/25 What is the value of 37 - ((-5537)/(-113) + -58)? 46 Evaluate (1 - (-1 + 1))/(165/2145). 13 What is 7 - 0 - (-2 - -6) - 462/88? -9/4 What is (-32 + 30)*1*-6*(-76)/24? -38 (-22)/561 - 65/(742560/58304) -36/7 Calculate ((-520)/12 + 44)*(-45)/(-65). 6/13 (-2 - 6/(-4))/(10/(3320/(-5978)) + 18) 83 Calculate (79 - 265800/3360) + (-17485)/140. -125 What is the value of (11/(-6))/(29 - (-19549)/(-678))? -11 (-40 - (-3990)/70)*(-4 - 0) -68 Calculate -4 - -27 - (-3 + 139 + -60). -53 (95326/(-21665))/((3/1)/(((-60)/(-8))/1)) -11 Evaluate (-297)/(-54)*144/330. 12/5 Evaluate 132 + (-10 + 9 + 25 + -19 - 25). 112 What is the value of (-8304)/(-3460)*(-10)/66? -4/11 74/48 - (-5 + 406/2436*(1 - -37)) 5/24 -397*(-2)/374 - (12/(-66))/((-8806)/(-2849)) 24/11 Evaluate (-30 + 0)/(1096/(-548)). 15 What is ((-6)/3 + 1)/1 + (-105 - (58 - 49))? -115 259/(14504/1344) + 57 81 Calculate 10152/(-98136) + (-6417)/203 + (-36)/(-21). -30 Evaluate 660/(-198)*2/15 + (-33)/(-135). -1/5 What is (((-60)/(-45))/4)/((-4257)/66)? -2/387 Calculate 34 + (-1235)/39 + (-1216)/(-24). 53 What is the value of 1358900/(-44450) + (20/7)/(-2)? -32 221/65 - 59032/18055 3/23 What is the value of (-3)/(-4)*(1451 + -1551)? -75 Calculate (-14564)/(-374) + -12 + 5/85. 27 What is the value of -41 + 155/(-558)*18? -46 Evaluate ((((-712)/(-12104))/((-1)/(-34)))/(-2))/((-1)/(-11)). -11 (36/(-10))/(10/(-25)) - ((-6060)/120 + 41) 37/2 What is the value of (5/12*568/1491)/(6/(-7) + 1)? 10/9 What is the value of ((-2429)/91 - -19)/(66/429)? -50 What is 16/((-190)/300 - 3/(-10))? -48 What is (-19 + 810/36)*(12/9)/(28/(-174))? -29 What is the value of (0 - (-6 + -176))/(-15) - (-8 - -5 - 9)? -2/15 What is ((-10 - -29) + -20)*(1 + 352/(-77))? 25/7 What is 49397/(-7357) + (-5)/(-7)? -6 Evaluate 274/(-26) - -46*1100/4600. 6/13 Evaluate 2418 - 2486 - (-73)/1. 5 What is the value of 5/(-6) - -2*(-2)/(-2)*305681/15348? 39 (-3)/(-270)*-12*(-150)/(-20)*9/(-7) 9/7 Evaluate (-1 - -1 - 2) + (-1602)/(-264) + 4053/(-16212). 42/11 What is the value of ((-728)/(-455)*165/6)/(((-12)/4)/(-3))? 44 99/(-27) + 2 - ((-265)/(-75) - 10) 24/5 What is ((-412)/(-3399))/((-111)/13431)? -44/3 ((-14)/(-19))/(4336/453112) 77 Calculate (16 + -6 + 5 - 1)*(-12558)/2254. -78 ((-2428)/14568 - 2/60)/1 -1/5 ((-126)/8)/((-42)/(-4) - (11 + 27 + -26)) 21/2 84/(-63)*(-1404)/858 24/11 Evaluate -5 - (15/(-4) + 645/(-516) - 15). 15 Evaluate 4*(22*21/21 - 34). -48 Calculate (153/765 + 234/5)*-1*(-2 + 3). -47 4 - (-6 + 0) - (-67 + (-621)/(-9)) 8 What is the value of 1972/1020 - 20/(-50)? 7/3 Evaluate (21 - 42)*4 - -4. -80 -4 + (3 - -11 - (-250)/(-24)) -5/12 (2/2)/((-176781)/(-48213) + ((-2530)/12)/5) -2/77 What is the value of (-1)/(-4)*(14 - 6) - 119/(-714)? 13/6 Calculate (
{ "pile_set_name": "DM Mathematics" }
3 + 627*y**3 + 1213 - 163*y**3 - 3*y + 598*y**3 to the form f*y**2 + b*y**3 + w + t*y and give b. 1062 Express 168610*d + 3*d**3 - 168602*d - 2*d**3 + 1 + 16*d**2 as w*d**2 + x*d + h + q*d**3 and give q. 1 Rearrange -4*c**4 + 2*c**2 - 33 + 4 - 6*c**2 + 2*c + 6*c**2 + c**3 to the form u*c**2 + v*c**4 + r*c**3 + l*c + a and give a. -29 Express 3*r**4 - 2557*r - 197*r**3 + 2557*r + 2 + 195*r**3 - 5*r**4 as c*r**3 + a*r + w*r**4 + q*r**2 + i and give w. -2 Rearrange 4038*q + 253*q + 1146*q + 922*q to o*q + u and give o. 6359 Rearrange 29 + 34 + 29 - 1669*f - 91 to the form d*f + t and give t. 1 Rearrange ((3 - 1 + 0)*(1 + 4 - 4) - 3 + 2 + 0 - 4 - 1 + 1 + (3 - 3 - 4)*(3 + 1 + 0))*(1268 + 56*c - 1268) to the form u*c + j and give j. 0 Rearrange (2*t + t - t)*(-1 + 10 - 3)*(-13 + 17*t + 13)*(-7 + 7 - 7*t)*(2*t - 4*t + 0*t) to b*t**4 + n*t + g + m*t**3 + s*t**2 and give b. 2856 Express 71 - 5 - 2289*x + 50 + 2286*x + x**3 + x**4 in the form k*x**3 + f + h*x**2 + n*x + b*x**4 and give n. -3 Rearrange (-7732*h - 146*h**2 + 7732*h)*(2*h**2 + 9*h**2 - 4*h**2)*(-1 - 1 + 0) to f + g*h**2 + x*h**4 + c*h**3 + w*h and give x. 2044 Rearrange (-2*s**2 - 3*s + 3*s)*(4*s**2 - 2*s**2 - 3*s**2) + (2 - 2 - 2*s**2)*(14362*s - 14362*s + 190*s**2) to a*s**2 + o*s + j*s**4 + w + g*s**3 and give j. -378 Rearrange 616*h + 2667*h - 6175*h - 4878*h - 7609*h to the form n*h + y and give y. 0 Rearrange 87347062 + 0*o - 1941*o**2 - 2*o - 87347064 to s*o + y*o**2 + v and give y. -1941 Express (621 + 12705 + 2*b + 6661)*(-2*b + 0*b + 0*b) as p*b + u + o*b**2 and give u. 0 Express 3*d + 18*d**4 + 7*d**4 - 137*d**3 + 30*d**4 + 120*d**3 - 12*d**4 as y*d**3 + g*d**2 + b*d**4 + k + i*d and give i. 3 Rearrange 5*l + 126039*l**4 + 3*l**3 - 126040*l**4 - l**3 - 2 + 250*l**2 to u*l**4 + g*l + v*l**3 + n + d*l**2 and give d. 250 Express -1258 - 1804*d + 562 + 696 - 7398*d in the form v + w*d and give w. -9202 Express -126*k**2 - 7*k + 31*k**2 + 2*k**3 + 27*k**2 - 32 + 32*k**2 + 37*k**2 as c + y*k**2 + b*k**3 + h*k and give b. 2 Express -108*u**3 + 6616*u**2 + 24*u**3 - 6621*u**2 in the form g + m*u**2 + a*u + t*u**3 and give t. -84 Express -219458 - 16635*f + 219458 as s + w*f and give w. -16635 Express -396*w**2 + 2794800*w - 5 - 2794803*w + 4 as n + c*w**2 + o*w and give o. -3 Express -33764*p**3 - p - 2 + 2*p**4 + 67529*p**3 - 2*p**2 - 33758*p**3 in the form q*p**2 + c*p + i*p**3 + w*p**4 + o and give w. 2 Express -77915741 - 2*s**3 - 4*s + s**2 + 77915755 + 0*s**4 + 2*s**4 as n*s**2 + o*s**4 + v*s + b + d*s**3 and give n. 1 Rearrange -73*k - 2*k**2 + k**2 + 1 - 55*k - 23*k to v*k + t*k**2 + j and give v. -151 Express (-635 - 2768*x**2 + 336 + 299)*(1 + 3 - 1) as m*x + a*x**2 + v and give m. 0 Express (-1 - 3 + 2)*(-2*l - 2*l + 2*l) + (-4*l + 2*l + 3*l + 5)*(-3 - 1 + 5)*(-141 - 1362 - 114) as q*l + g and give q. -1613 Express 16*g + 1688 - 16*g - 1679 - 185*g**2 in the form u + j*g + k*g**2 and give k. -185 Rearrange 5391706*m + 371 - 5391718*m + 90 to w*m + j and give j. 461 Rearrange 100*g**3 + 4 - 101*g**3 - 2*g**2 + 3*g + 5*g**4 - 3*g**4 to p*g**4 + z*g + c + l*g**2 + a*g**3 and give l. -2 Rearrange 75*g + 34*g - 90*g**3 + 0 + 0 - 156*g to w + t*g**3 + n*g + b*g**2 and give t. -90 Rearrange 9 + 9 - 13*b**3 - 25 - 361*b + 12*b**3 + 9 to u*b**3 + f*b + a*b**2 + w and give u. -1 Rearrange -2*i + i - i + (72990*i - 109434297 + 109434297)*(0 + 0 - 1) to x*i + y and give x. -72992 Express -1 - 25*k**3 + 0*k + 4*k - 165*k**3 in the form a + d*k**3 + c*k**2 + i*k and give d. -190 Express 9792 - 4895 - 16*o - 5*o**2 + 10*o**2 - 4899 in the form r*o + p + f*o**2 and give p. -2 Rearrange (2*w**2 - w**2 + w**2)*(1087 - 1087 - 64*w**2) + (-14 - 5 - 2)*(0*w**4 + 2*w**4 - 3*w**4) to the form f*w + c*w**3 + t*w**4 + v + y*w**2 and give t. -107 Rearrange 221*s**3 + 5*s + 0 + 132*s**3 + 2*s**2 + 3 + 198*s**3 - 4*s to d*s + f*s**3 + n*s**2 + v and give f. 551 Rearrange 127*d - 305*d**2 - d**3 + 0*d**3 + 147 - 149 + 304*d**2 to m*d**3 + y + t*d + j*d**2 and give j. -1 Express 3579*o**2 - 1814*o**2 - 1838*o**2 + 5 in the form l*o + r*o**2 + k and give r. -73 Express -696*s + 1 - 2*s**3 + 221*s**2 - 690*s - 2*s**4 + 2086*s - 699*s as h*s + g*s**3 + z + i*s**2 + k*s**4 and give k. -2 Express 39*p**2 - 146*p**4 + 143*p**4 - 42*p + 47*p in the form k*p**2 + u + x*p**4 + z*p + b*p**3 and give b. 0 Rearrange -243 + 77 + 499*g + 80 + 81 to the form t + r*g and give t. -5 Rearrange 159*n - 92*n - 66*n - 1 + (2 + 2 - 2)*(0 + 0 - 2*n) to the form j*n + t and give j. -3 Express -v**3 - 1121*v + 2243*v + 165 - 1122*v as d + l*v**3 + w*v**2 + b*v and give l. -1 Express x**4 - 1661*x**3 - 244 + 3322*x**3 + x - 1662*x**3 in the form t*x**4 + s*x**2 + v + l*x**3 + f*x and give v. -244 Rearrange 62*l**2 - 2 + 2*l**3 - 79*l**2 + 3 + 0 + 47*l**2 to o*l + x + f*l**2 + v*l**3 and give x. 1 Express (w - w - 3*w)*(18*w**2 + 25*w**2 - 26*w**2) - 14*w**3 - 53 + 8*w**3 + 7*w**3 in the form d + y*w + m*w**2 + f*w**3 and give d. -53 Express 19*z**2 + 90297403*z + 19*z**4 - 90297403*z + (3 - 2 + 1)*(-z**2 + z**4 + z**2) as a + b*z**3 + s*z**4 + g*z**2 + o*z and give s. 21 Rearrange -183*o**4 - 15*o**3 + 343*o**4 - 177*o**4 + o**2 - 28*o**3 to the form w*o**2 + a*o + k*o**3 + f*o**4 + u and give k. -43 Express 7*t + 4*t**4 + 14 - 2 + 2*t**2 - 2*t**4 + 2*t**3 - 13 + 0*t**3 in the form g*t**4 + y*t + w*t**3 + o + h*t**2 and give h. 2 Rearrange 2*h + 1174 - 5*h - 1251 - 9*h + h to y*h + a and give y. -11 Rearrange (1764 + 14229*x - 14229*x + 3*x**2)*(-1 - 2*x**2 + 1) to v*x + m*x**3 + y + l*x**2 + k*x**4 and give k. -6 Rearrange -1 - 4*a**2 + 1 + (-4*a + 4*a - 2*a)*(2*a - 1 + 1) + 14*a**2 + 17*a**2 - a**2 - 7 + 7 + 8*a**2 to the form s*a + y + g*a**2 and give g. 30 Express -g + g - 2*g**2 + (0*g + 5*g - 6*g)*(2 + g - 2) - 2643*g**2 - 13*g + 28687*g**2 + 13*g in the form k + v*g**2 + j*g and give v. 26041 Rearrange 40*j + 38*j + 43*j - 3330 - 122*j - 1589 to the form y*j + d and give y. -1 Rearrange 8 - 10 + 19 - 15 - 19*m + 68*m**4 to z + d*m + h*m**4 + n*m**2 + q*m**3 and give n. 0 Rearrange 5541*f**2 - 1120*f**2 + 4466*f**2 to o*f**2 + n + u*f and give o. 8887 Express 34445*s - 16388*s - 14078*s as o*s + t and give o. 3979 Rearrange (-2*j + 5*j - 5*j)*(2*j**2 - 3*j**2 + 3*j**2) + 2 + j + 8*j**2 + 643*j**3 + 655*j**3 - 1291*j**3 to g + m*j**3 + k*j + x*j**2 and give m. 3 Express (-4*l + 4*l - 2*l**3)*(-1 - 1 - 1)*(-449 - 138 - 86) as m + n*l + f*l**2 + v*l**3 and give v. -4038 Rearrange 7924*h**2 - 4797*h**2 + 5726*h**2 + 2614*h**2 + 7591*h**2 to n*h + g*h**2 + t and give g. 19058 Rearrange (x**2 - 2*x + 2*x + (-3*x + 5*x + 0*x)*(-2*x + 5*x - 5*x) - 335*x + 335*x + 144*x**2)*(-29 - 23 + 20) to the form y*x**2 + o + m*x and give o. 0 Rearrange -12002 + 6*w - 7*w**3 + 2*w**4 - 23*w**2 + 21*w**2 + 12003 to the form y*w**3 + q*w + h + f*w**2 + x*w**4 and give f. -2 Rearrange (-7 + 4 + 21)*(2589*n**2 - 358 + 180 + 178) to w*n**2 + g*n + y and give w. 46602 Rearrange -33*f - 83*f + 28*f**2 + 62*f - 19*f**2 to v*f**2 + a*f + z and give z. 0 Rearrange (7306*i**2 + 64*i**3 - 7306*i**2)*(4*i + 5*i - 5*i) to the form m*i**4 + n*i**3 + x*i**2 + l + b*i and give m. 256 Rearrange 296*x**3 - 138*x**3 - 155*x**3 + 2*x**2 - 516*x to the form q*x**2 + b + n*x**3 + g*x and give g. -516 Rearrange -602*g + 297*g - 188 - 688 + 308*g to o + x*g and give o. -876 Express 95*h**4 + 2*h + 2*h**3 + 2 - 111*h**4 - 120*h**4 + 102*h**2 - 102*h**2 as c*h**4 + l*h + k*h**2 + w*h**3 + d and give l. 2 Rearrange (3 - 4 + 2)*(79*n**2 + 89*n**2 + 119*n**2 - 156*n**2 + 14) to v*n**2 + q*n + a and give a. 14 Rearrange -253*b**2 + 227*b**2 - 2*b + 344*b**2 to y + d*b + t*b**2 and give d. -2 Express 172 - 2184*w**4 - 3*w**3 + 2190*w**4 - 122 - 83 - w**2 as v*w**4 + j*w + s*w**2 + f + t*w**3 and give v. 6 Rearrange 9477*r + 8966*r - 19182*r to j + b*r and give b. -739 Rearrange -531*k + 1056*k - 521*k + 193*k**3 to q*k**3 + f*k**2 + u + r*k and give r. 4 Rearrange 22961*j**3 + 2 - 2*j - 22989*j**3 + 27*j**2 + 16*j**4 - 17*j**4 to h + r*j**4 + s*j**2 + q*j**3 + v*j and give s. 27 Express -93447 + 2*o**3 + o + o**2 + 46445 + 46348 in the form k*o + t*o**2 + b + l*o**3 and give l. 2 Rearrange (-7 - 6*b**4 + 7)*(7435 - 3736 - 2825) to the form z + u*b**3 + j*b**2 + d*b + f*b*
{ "pile_set_name": "DM Mathematics" }
s 4797.320131? -4797.520131 What is 0.4 less than -0.496854202? -0.896854202 Sum 1.81019 and -53.41. -51.59981 What is 0.05563 - 725658? -725657.94437 Calculate 67 - -0.6272005. 67.6272005 What is -4838 less than -19.1827? 4818.8173 Sum -582261 and 0.8563. -582260.1437 What is -199975617 minus 2? -199975619 What is 354 take away 10.352? 343.648 What is 34358 minus -41759? 76117 Work out -0.1999 + 372.69. 372.4901 Put together 165.8996 and -9. 156.8996 124916 + 0.29819 124916.29819 Add -3105369331 and -2. -3105369333 What is -0.5 take away 69343815.06? -69343815.56 Calculate 5 - -42921622. 42921627 Calculate -0.31 + -778019. -778019.31 -28+-35.92855 -63.92855 Calculate 9866.351 - -0.11787. 9866.46887 Add together -16266067 and -0.3. -16266067.3 What is -147 less than -210126464? -210126317 What is the distance between -2091700 and -521? 2091179 Work out -3769.147 + 8. -3761.147 Sum 13 and 51957643. 51957656 What is -2 + 13269234? 13269232 Add 16617.702064 and -0.1. 16617.602064 What is -3184.7 take away -1644.062? -1540.638 Put together -1.369 and -21260.1. -21261.469 Total of -143880 and -63866. -207746 Subtract -2.6324048 from -0.2. 2.4324048 Subtract 97301460 from 40. -97301420 What is 0.32348367 minus -0.5? 0.82348367 Calculate -622142 + -8. -622150 Calculate -3258675812 + 0.4. -3258675811.6 What is the distance between -2.02 and -59417? 59414.98 What is 0.074182 less than -0.1688? -0.242982 What is 5016436 + -0.0846? 5016435.9154 What is 966 + 1814? 2780 What is 2 less than -4032623079? -4032623081 -24758348 + -0.4 -24758348.4 What is -904 less than -20167151? -20166247 Calculate -0.3 - -310402196. 310402195.7 Work out 40174 + 324850. 365024 What is the difference between -6.52 and -842.4526? 835.9326 What is -1466608 - 0.17? -1466608.17 What is -20275909545 take away -0.5? -20275909544.5 -89.17 + 1104832 1104742.83 What is -881.813 + -13? -894.813 What is the distance between -82405.3 and 0.22? 82405.52 What is 16954 less than -7275? -24229 What is 405976 less than 0.009? -405975.991 Put together 3152267310 and -4. 3152267306 What is -12854 minus 1548? -14402 Work out -1371880 + -330. -1372210 Add together -0.2 and 586468285. 586468284.8 Total of -1380.677 and -4. -1384.677 What is the distance between -19709 and 9936? 29645 Subtract -15055809 from 44.2. 15055853.2 Calculate -4838.5 + -1.644. -4840.144 -214.7 + -59720.4 -59935.1 Subtract 0 from 95690650. 95690650 Calculate 0.003 - 31814664. -31814663.997 -77694 - 577 -78271 What is -4151897653 take away 4? -4151897657 Subtract 24905 from 110403. 85498 Add -861 and 10238270. 10237409 Put together -1.17 and 1608.34. 1607.17 What is -0.03587552 - 6739? -6739.03587552 Work out -26609 + 277461. 250852 What is -0.3384075531 - 0.4? -0.7384075531 Sum 2905 and -29.106. 2875.894 Calculate -3 - 0.23673472. -3.23673472 Calculate 0.4 - 2129097623. -2129097622.6 Subtract 76897 from 6.175. -76890.825 What is the distance between -721585.55 and 10? 721595.55 Put together 1530097.4 and -2807. 1527290.4 What is 57096 plus 362.22? 57458.22 What is 118242986.6 plus 9? 118242995.6 -0.166 + -52372931 -52372931.166 Work out 13 + 4374386.8. 4374399.8 What is 0.1 plus 383.351044? 383.451044 Calculate -45883528 - 130.9. -45883658.9 31464832+2.9 31464834.9 -9.07+3784114 3784104.93 What is 271322 take away 274.3? 271047.7 Add 0.1 and -5823512. -5823511.9 437799.4 - 0.045 437799.355 -8908335+-0.5 -8908335.5 -0.08 - 8514.05973 -8514.13973 Work out 5 + 10490800344. 10490800349 What is -0.1445625 plus -36544? -36544.1445625 4908 + 1103.2221 6011.2221 Add 0.4 and -8865066.84. -8865066.44 Work out -126 - 93617. -93743 Put together -1.195 and -28.565. -29.76 Calculate -0.55 + 283169. 283168.45 What is 177833180 less than 4? -177833176 What is the difference between 1074679 and -25.772? 1074704.772 Work out -4097 + 497301. 493204 What is 5885 - -1640? 7525 -1014 + 677566 676552 What is -424.36 take away 18.99? -443.35 8 + -765510003 -765509995 What is -9427.541 + 0.1287? -9427.4123 Work out -25.24 - -0.916369. -24.323631 What is 207.5192 minus 10? 197.5192 Calculate -0.3 - 5.8749896. -6.1749896 -4.7+11.5472 6.8472 8076 - -0.48 8076.48 What is 0.2 - -0.0070666? 0.2070666 -0.45 + -2181541 -2181541.45 -6736+15632 8896 What is the distance between -0.5 and 14.84280476? 15.34280476 -100774 + -0.07129 -100774.07129 -0.07 - -699771 699770.93 What is -0.3 less than -15161.561? -15161.261 Subtract 0.186881731 from -0.2. -0.386881731 Add together -0.4484 and 2354709. 2354708.5516 What is 342 take away 96626? -96284 What is -0.4 take away -16.6176902? 16.2176902 0.0783770701 - 1.2 -1.1216229299 What is -770 - 2381? -3151 Add together -63 and 53285.7. 53222.7 Total of -683117 and -3486. -686603 What is -14.4 take away 2100622? -2100636.4 What is 5.896 less than 2.0071? -3.8889 Work out 5225 - -254. 5479 What is the difference between -4343488 and -1517? 4341971 Calculate 4.4 - -123903. 123907.4 Sum 0.4 and 5173723510. 5173723510.4 Calculate -0.1 + -181614763. -181614763.1 What is -14.01 - -68322? 68307.99 Sum -1378.07452 and 0.35. -1377.72452 Calculate 35634.79 + -0.769. 35634.021 What is the distance between 223.9182 and 3? 220.9182 What is -376394406 + -51? -376394457 Put together 20908 and 0.227665. 20908.227665 -10483.8+0.228513 -10483.571487 Add together 24249 and -0.11173. 24248.88827 Calculate 18631144 + 2. 18631146 Work out 0.3 + 12950945. 12950945.3 Calculate -1.995 - -400.2. 398.205 What is 160393.4461 - 0.08? 160393.3661 What is -874 take away -175.76? -698.24 Subtract -2.81 from -117057. -117054.19 What is the distance between -33185 and -215.1934? 32969.8066 Add -2 and -85735643. -85735645 What is 0.2 + 716483? 716483.2 What is -0.4 plus 40071? 40070.6 -10.3 - 98421097 -98421107.3 What is 4 minus -224747196? 224747200 Add -332417555 and -0.3. -332417555.3 What is 3.3 - -751996? 751999.3 Add together 273 and -8657028. -8656755 What is the distance between -0.144 and -0.054631? 0.089369 Add together -0.3805 and -35854. -35854.3805 13.6338 - 304117 -304103.3662 Sum 1356743.1 and -1.76. 1356741.34 Work out 0.62 - 17759803. -17759802.38 What is -66960.48 take away 6? -66966.48 What is -45526.3916 - -39? -45487.3916 What is 2.5352296831 minus 0.3? 2.2352296831 What is -5220.485 + -544? -5764.485 Sum -14 and -23722.8. -23736.8 What is the difference between -65999 and -102.06? 65896.94 Work out 0.07389286515 + -3. -2.92610713485 Calculate 2063203549 + 0.2. 2063203549.2 What is -0.5 - -740354.242? 740353.742 Work out 2 - -0.18659694. 2.18659694 Add -0.0139128 and -19. -19.0139128 Put together -29291 and -1832.7. -31123.7 What is 48 take away 63644200? -63644152 Work out -69348 + 2995. -66353 What is 0.03092687 take away -683? 683.03092687 What is -78604 + -7.402? -78611.402 What is 0.5 less than -4768382? -4768382.5 Add 253762 and 154257. 408019 0.0528+344006 344006.0528 Work out 6 + -294427. -294421 Subtract -12992978 from -217.5. 12992760.5 Work out -74863.526 + -0.4. -74863.926 Subtract -2 from -18.075027136. -16.075027136 Put together -0.47 and 5613387. 5613386.53 2906740 - -105 2906845 Add 0.2 and -25.5841461. -25.3841461 What is -523367 plus 0.05? -523366.95 What is the difference between 1 and -7.294374? 8.294374 What is -2009922 plus 0.6961? -2009921.3039 Work out -5678.93468 - 0.4. -5679.33468 Work out -340697 - -36.5. -340660.5 What is 100907.67 less than 0.7? -100906.97 0.0846+-248145 -248144.9154 Sum 6.122 and -5521. -5514.878 Sum 15 and 14267496. 14267511 Work out -0.3073 + 5.8006. 5.4933 What is 2431 plus -0.55443? 2430.44557 What is -0.04 plus -0.065041766? -0.105041766 Put together 24943955 and -38. 24943917 What is 6360.92 plus -0.4599? 6360.4601 0.6 - -0.077537 0.677537 Calculate 45588944 + 0.008. 45588944.008 What is the distance between 216072572 and -10.2? 216072582.2 -4020 - -1.8519 -4018.1481 What is -0.155215 - 2.60132? -2.756535 Subtract 4 from -235.08181. -239.08181 Sum 202444 and -29.2. 202414.8 Add together 996819492 and 2. 996819494 What is 0.015 take away 112807? -112806.985 5 - -3518903484 3518903489 Add together -85834 and 16.045. -85817.955 What is 7.15 + -6912? -6904.85 What is -0.006346 take away 19.4? -19.406346 What is -2816206.1 plus 3? -2816203.1 What is -12 less than -3906483? -3906471
{ "pile_set_name": "DM Mathematics" }
s the third root of 960 to the nearest integer? 10 What is the fourth root of 2056 to the nearest integer? 7 What is the cube root of 32637 to the nearest integer? 32 What is 6461 to the power of 1/2, to the nearest integer? 80 What is the eighth root of 4159 to the nearest integer? 3 What is the square root of 4840 to the nearest integer? 70 What is 1777 to the power of 1/8, to the nearest integer? 3 What is 682 to the power of 1/2, to the nearest integer? 26 What is the third root of 5063 to the nearest integer? 17 What is the square root of 45984 to the nearest integer? 214 What is 16314 to the power of 1/2, to the nearest integer? 128 What is the tenth root of 69 to the nearest integer? 2 What is 8547 to the power of 1/2, to the nearest integer? 92 What is 1566 to the power of 1/10, to the nearest integer? 2 What is the square root of 2441 to the nearest integer? 49 What is the cube root of 30783 to the nearest integer? 31 What is the third root of 1621 to the nearest integer? 12 What is 5325 to the power of 1/2, to the nearest integer? 73 What is the third root of 78836 to the nearest integer? 43 What is the sixth root of 1666 to the nearest integer? 3 What is the square root of 38719 to the nearest integer? 197 What is 11557 to the power of 1/2, to the nearest integer? 108 What is the ninth root of 5950 to the nearest integer? 3 What is 149 to the power of 1/7, to the nearest integer? 2 What is 1722 to the power of 1/2, to the nearest integer? 41 What is the cube root of 6555 to the nearest integer? 19 What is the cube root of 115202 to the nearest integer? 49 What is 6727 to the power of 1/4, to the nearest integer? 9 What is the square root of 2584 to the nearest integer? 51 What is 1504 to the power of 1/2, to the nearest integer? 39 What is the cube root of 21684 to the nearest integer? 28 What is 903 to the power of 1/4, to the nearest integer? 5 What is 16624 to the power of 1/3, to the nearest integer? 26 What is 3169 to the power of 1/2, to the nearest integer? 56 What is 48285 to the power of 1/4, to the nearest integer? 15 What is the square root of 136528 to the nearest integer? 369 What is the square root of 12926 to the nearest integer? 114 What is the tenth root of 309 to the nearest integer? 2 What is the sixth root of 159 to the nearest integer? 2 What is the cube root of 12666 to the nearest integer? 23 What is 6738 to the power of 1/2, to the nearest integer? 82 What is the cube root of 46933 to the nearest integer? 36 What is 1348 to the power of 1/7, to the nearest integer? 3 What is the cube root of 6164 to the nearest integer? 18 What is 1824 to the power of 1/4, to the nearest integer? 7 What is the square root of 114250 to the nearest integer? 338 What is the cube root of 1482 to the nearest integer? 11 What is the square root of 33050 to the nearest integer? 182 What is 2172 to the power of 1/4, to the nearest integer? 7 What is the square root of 3811 to the nearest integer? 62 What is the third root of 1772 to the nearest integer? 12 What is the cube root of 16535 to the nearest integer? 25 What is the fifth root of 10452 to the nearest integer? 6 What is 1911 to the power of 1/3, to the nearest integer? 12 What is the eighth root of 1354 to the nearest integer? 2 What is the cube root of 41813 to the nearest integer? 35 What is the square root of 55546 to the nearest integer? 236 What is 1495 to the power of 1/5, to the nearest integer? 4 What is 1290 to the power of 1/2, to the nearest integer? 36 What is the cube root of 1441 to the nearest integer? 11 What is 477 to the power of 1/4, to the nearest integer? 5 What is 2398 to the power of 1/2, to the nearest integer? 49 What is 1248 to the power of 1/7, to the nearest integer? 3 What is 1702 to the power of 1/3, to the nearest integer? 12 What is 915 to the power of 1/7, to the nearest integer? 3 What is the third root of 7675 to the nearest integer? 20 What is the square root of 16495 to the nearest integer? 128 What is the ninth root of 2321 to the nearest integer? 2 What is 36171 to the power of 1/2, to the nearest integer? 190 What is 1105 to the power of 1/2, to the nearest integer? 33 What is 18 to the power of 1/9, to the nearest integer? 1 What is 1511 to the power of 1/2, to the nearest integer? 39 What is 8616 to the power of 1/3, to the nearest integer? 21 What is the fourth root of 5938 to the nearest integer? 9 What is the cube root of 3020 to the nearest integer? 14 What is the third root of 46784 to the nearest integer? 36 What is 769 to the power of 1/5, to the nearest integer? 4 What is the square root of 6179 to the nearest integer? 79 What is 383 to the power of 1/3, to the nearest integer? 7 What is the eighth root of 10072 to the nearest integer? 3 What is 41 to the power of 1/2, to the nearest integer? 6 What is the seventh root of 360 to the nearest integer? 2 What is 132192 to the power of 1/5, to the nearest integer? 11 What is 510 to the power of 1/2, to the nearest integer? 23 What is 6034 to the power of 1/4, to the nearest integer? 9 What is 143046 to the power of 1/2, to the nearest integer? 378 What is 173441 to the power of 1/2, to the nearest integer? 416 What is 64962 to the power of 1/2, to the nearest integer? 255 What is 1463 to the power of 1/2, to the nearest integer? 38 What is 4069 to the power of 1/2, to the nearest integer? 64 What is the square root of 25071 to the nearest integer? 158 What is 1891 to the power of 1/2, to the nearest integer? 43 What is 75179 to the power of 1/8, to the nearest integer? 4 What is the tenth root of 4929 to the nearest integer? 2 What is 70162 to the power of 1/5, to the nearest integer? 9 What is 2311 to the power of 1/3, to the nearest integer? 13 What is 5352 to the power of 1/3, to the nearest integer? 17 What is the sixth root of 186 to the nearest integer? 2 What is 462 to the power of 1/2, to the nearest integer? 21 What is 1430 to the power of 1/2, to the nearest integer? 38 What is the seventh root of 87518 to the nearest integer? 5 What is 7372 to the power of 1/4, to the nearest integer? 9 What is 197880 to the power of 1/4, to the nearest integer? 21 What is the cube root of 836 to the nearest integer? 9 What is 8119 to the power of 1/5, to the nearest integer? 6 What is 101432 to the power of 1/2, to the nearest integer? 318 What is the square root of 28253 to the nearest integer? 168 What is 3021 to the power of 1/4, to the nearest integer? 7 What is 1197 to the power of 1/2, to the nearest integer? 35 What is 290 to the power of 1/6, to the nearest integer? 3 What is the cube root of 1556 to the nearest integer? 12 What is the third root of 52751 to the nearest integer? 38 What is the tenth root of 4356 to the nearest integer? 2 What is the tenth root of 2900 to the nearest integer? 2 What is 1522 to the power of 1/2, to the nearest integer? 39 What is 175364 to the power of 1/3, to the nearest integer? 56 What is 1716 to the power of 1/2, to the nearest integer? 41 What is 4044 to the power of 1/2, to the nearest integer? 64 What is the square root of 69492 to the nearest integer? 264 What is the square root of 5380 to the nearest integer? 73 What is 2469 to the power of 1/7, to the nearest integer? 3 What is the fourth root of 10761 to the nearest integer? 10 What is 28 to the power of 1/2, to the nearest integer? 5 What is 1417 to the power of 1/5, to the nearest integer? 4 What is 36602 to the power of 1/2, to the nearest integer? 191 What is the fourth root of 3446 to the nearest integer? 8 What is the cube root of 21444 to the nearest integer? 28 What is the square root of 7550 to the nearest integer? 87 What is the third root of 48880 to the nearest integer? 37 What is 92 to the power of 1/2, to the nearest integer? 10 What is 26409 to the power of 1/3, to the nearest integer? 30 What is the cube root of 225 to the nearest integer? 6 What is 29114 to the power of 1/2, to the nearest integer? 171 What is 939 to the power of 1/3, to the nearest integer? 10 What is 110260 to the power of 1/2, to the nearest integer? 332 What is the third root of 912 to the nearest integer? 10 What is 897 to the power of 1/2, to the nearest integer? 30 What is the square root o
{ "pile_set_name": "DM Mathematics" }
0234 In base 14, what is -2 + 939a49? 939a47 In base 3, what is -121012202 + -2201212? -200221121 In base 11, what is 16334 + 2a6? 1662a In base 15, what is -4034 + -4a2? -44d6 In base 7, what is -3022 + -12665? -16020 In base 14, what is 1d764a - -24? 1d7670 In base 4, what is 11100231320132 + -12? 11100231320120 In base 8, what is -7650 - 33367? -43237 In base 2, what is -110011110010010111 + -1111000? -110011110100001111 In base 6, what is 2025410 - -54? 2025504 In base 3, what is 11022222220 - 1210? 11022221010 In base 10, what is -4 + 3417325? 3417321 In base 14, what is 23d + bb58b? bb7ca In base 2, what is -10010110011111110 - 1110001111011? -10100100101111001 In base 8, what is -26370572 + -14? -26370606 In base 3, what is 2110111002012012 - 0? 2110111002012012 In base 14, what is -bbca5 + -6? -bbcab In base 12, what is 313948 - 7? 313941 In base 4, what is 2330212 - 201132? 2123020 In base 8, what is -37 - 2543165? -2543224 In base 4, what is 133233111 - 2121? 133230330 In base 5, what is 100331404014 + -3? 100331404011 In base 16, what is 9ff6 - -e4a? ae40 In base 6, what is 4303255341 - 3? 4303255334 In base 7, what is 16252324641 + 2? 16252324643 In base 14, what is -9303b2 + -3? -9303b5 In base 4, what is 212 + -110123013203? -110123012331 In base 14, what is 31 - -22bb454? 22bb485 In base 8, what is -1501734 + 173? -1501541 In base 9, what is 56 - -1878566? 1878633 In base 2, what is 1010001011000111100 - 100111001011? 1010000110001110001 In base 3, what is -10211012112220222221 + -1? -10211012112220222222 In base 3, what is 1 + -102101201120100? -102101201120022 In base 10, what is 59 - -872894? 872953 In base 14, what is -5 - -1716844? 171683d In base 15, what is 7cbb1e2a + -3? 7cbb1e27 In base 9, what is 25646686 + -2? 25646684 In base 2, what is 1011111 + -10011011000000? -10011001100001 In base 4, what is -222023331322 + 1? -222023331321 In base 7, what is -22255064 + -5? -22255102 In base 7, what is 16430632 - 366? 16430233 In base 11, what is 22 - -405959? 405980 In base 4, what is 113201 + -12211? 100330 In base 6, what is -105414154 + -23? -105414221 In base 5, what is 413 + 1041014402? 1041020320 In base 12, what is 124379b + -17? 1243784 In base 15, what is 44a7e10 - 0? 44a7e10 In base 4, what is -330 + 13130020200? 13130013210 In base 5, what is -1001133420 + -42? -1001134012 In base 2, what is 11101111 + -1000111011110010001? -1000111011010100010 In base 12, what is -152 - -55096? 54b44 In base 8, what is 416236 - -31? 416267 In base 2, what is -110010110010000111101111 + 1010? -110010110010000111100101 In base 10, what is -10 + 9756546? 9756536 In base 12, what is -199b0136 - -5? -199b0131 In base 10, what is -4168811 - -4? -4168807 In base 16, what is b76 + 1c391? 1cf07 In base 6, what is -5 + 340535413? 340535404 In base 14, what is -3c3 + 125a? c77 In base 13, what is -123b91 + -c14? -124aa5 In base 16, what is -a2 - -12488? 123e6 In base 15, what is 8 + 699e755? 699e75d In base 13, what is -7cb0 + a2? -7c0b In base 2, what is -1010000010110010000010 - 10110100? -1010000010110100110110 In base 13, what is 198763 + 44? 1987a7 In base 15, what is -e - -7c48b? 7c47c In base 5, what is 11010340 - 342? 11004443 In base 9, what is -5 - -3657533? 3657527 In base 14, what is -269963 - -204? -26975d In base 10, what is 35 + 58291? 58326 In base 14, what is -10960 + -239? -10b99 In base 10, what is -27697 + 12697? -15000 In base 10, what is -817 + 156072? 155255 In base 6, what is -3000301 - -3424? -2552433 In base 9, what is 8525265 - 367? 8524787 In base 12, what is -1 + -636515? -636516 In base 8, what is 31751 - -26364? 60335 In base 16, what is -3 - -6467e9d? 6467e9a In base 2, what is -10 + -1001010001000100100? -1001010001000100110 In base 3, what is -11 - 112221110102221? -112221110110002 In base 14, what is -b + -437d94? -437da1 In base 14, what is 681c - 3669? 3193 In base 14, what is 1d783c + 1? 1d783d In base 9, what is -75751311 - -7? -75751303 In base 7, what is 40203136 + 6? 40203145 In base 12, what is 14a21 - -60? 14a81 In base 11, what is 131761 - -a79? 13272a In base 12, what is -450 - -25164? 24914 In base 8, what is -43145 - -3462? -37463 In base 4, what is -100131213320232 - -12? -100131213320220 In base 2, what is 111010000 + 100010011010? 101001101010 In base 16, what is -129d3e + -9? -129d47 In base 12, what is -4 - -1902a810? 1902a808 In base 11, what is 30206 + 42? 30248 In base 5, what is 33312310304 - 3? 33312310301 In base 12, what is 3bb + 5097? 5496 In base 8, what is 57776 - 602? 57174 In base 12, what is -802 - 2b89? -378b In base 8, what is -121760221 + -3? -121760224 In base 3, what is -112202100 + 11211001? -100221022 In base 10, what is -31439738 + 27? -31439711 In base 13, what is 2b24b3586 - 4? 2b24b3582 In base 16, what is 443 + 11c5? 1608 In base 10, what is 37 + -721982? -721945 In base 13, what is -3b218a8 + -2? -3b218aa In base 11, what is -335110a + -16? -3351125 In base 11, what is -424a0441 + -1? -424a0442 In base 12, what is b8a96b - 0? b8a96b In base 14, what is -68a + 1317? a6b In base 13, what is -37 - 51a181? -51a1b8 In base 10, what is 290175 + 14? 290189 In base 7, what is 22 + 334011650? 334012002 In base 16, what is 3bf6da + -1? 3bf6d9 In base 3, what is 1011200220 - -112022? 1012020012 In base 4, what is 132302223 + -11302? 132230321 In base 6, what is -102550 - -232205? 125215 In base 5, what is 133014103032 - 10? 133014103022 In base 15, what is cacc1a + -7? cacc13 In base 12, what is 163b1a6 - -81? 163b267 In base 7, what is -1431313 + 102? -1431211 In base 11, what is -2 - 9351379? -9351380 In base 3, what is 11020010220 - -120210? 11020201200 In base 3, what is -2 + 110211200022220? 110211200022211 In base 7, what is -3630655152 + 4? -3630655145 In base 8, what is -3643 - 47662? -53525 In base 10, what is 13120345 + 40? 13120385 In base 7, what is -1443443164 - 3? -1443443200 In base 5, what is 3312120 + 2420? 3320040 In base 13, what is 0 - 8b50a8? -8b50a8 In base 14, what is 8 - 705c030? -705c026 In base 16, what is -9ec2 - -4564? -595e In base 16, what is 40bc54 + 5? 40bc59 In base 16, what is -c809045 + 4? -c809041 In base 13, what is -a01914 - 4? -a01918 In base 11, what is 60 + 181912a? 181918a In base 3, what is -102 - 222022222210? -222100000012 In base 14, what is 3aa1 + 717? 43b8 In base 10, what is 18068496 - 13? 18068483 In base 8, what is 142631134 - 5? 142631127 In base 14, what is -9 + -505868d? -5058698 In base 2, what is 1010001011010 - 111101101111? 10011101011 In base 7, what is 20062263001 - -2? 20062263003 In base 5, what is 1214230322 - 121? 1214230201 In base 5, what is -414021231 - -11? -414021220 In base 2, what is 1010111111000 - -1100110011? 1100100101011 In base 14, what is -31b + 22616? 222d9 In base 8, what is 71 - 20600? -20507 In base 16, what is 4dc024d + -6? 4dc0247 In base 16, what is -cb547 + 4? -cb543 In base 16, what is -c94e7b - 6? -c94e81 In base 9, what is -1626758 - -50? -1626708 In base 7, what is -224660222 + 1? -224660221 In base 9, what is -6350 - -205017? 187557 In base 16, what is 2 - 170bb59? -170bb57 In base 15, what is -b18 - 5d33? -694b In base 5, what is 1423212200 - -3? 1423212203 In base 13, what is c982bcaa + 2? c982bcac In base 2, what is 10101101100101001101110 + -10010101? 10101101100100111011001 In base 2, what is 0 - 110100001100110101100? -110100001100110101100 In base 2, what is 100000101010010010111110 - 11? 100000101010010010111011 In base 13, what is -46 + -7cba? -8033 In base 13, what is a + -1317161? -1317154 In base 5, what is 101444023104 + -3? 101444023101 In base 3, what is 10222201110211 - -1022? 10222201112010 In base 7, what is 15645 + -264645? -246000 In base 4, what is 30121 - -20022333? 20113120 In base 12, what is 0 + -2904446? -2904446 In base 11, what is -1 + -a838213? -a838214 In base 3, what is 21 + 10020212221001012? 10020212221001110 In base 10, what is -13677147 - -4? -13677143 In base 14, what is 13 + -105b46? -105b33 In base 3, what is 112 - -22011212212012? 22011212212201 In base 15, what is 2c + -2e86d? -2e841 In base 8, what is -72566020 - -4? -72566014 In base 14, what is -133188 - 71? -133219 In base 15, what is 18 + -52331? -52318 In base 3, what is 21222202 - 110
{ "pile_set_name": "DM Mathematics" }
(d)). -26*d**2 Let r(y) be the third derivative of -y**5/60 + 18*y**2. Let b(i) = 26*i**2. Give b(r(o)). 26*o**4 Let a(p) be the third derivative of p**5/20 - 24*p**2. Let z(s) = -90*s**2. Calculate a(z(r)). 24300*r**4 Let s(o) = -o. Let p(x) be the first derivative of x**3/3 - 134*x - 133. What is s(p(v))? -v**2 + 134 Let m(y) = 66*y - 1. Let q(d) = -726*d. Determine q(m(o)). -47916*o + 726 Let n(f) be the first derivative of 25*f**2 + 28*f**2 - 51*f**2 + 21. Let t(k) = -2*k**2. What is t(n(o))? -32*o**2 Let f(v) be the first derivative of 5*v**3/3 + 129. Let h(c) = -13*c**2. Determine h(f(x)). -325*x**4 Let x(g) = 2*g**2. Let k(b) = 5*b + 3. Let v(i) = -i + 1. Let l(y) = -2*k(y) + 6*v(y). What is l(x(q))? -32*q**2 Let f(i) be the third derivative of 11*i**4/24 - 10*i**2. Let s be 413/21 - (-6)/(-9). Let p(x) = 0 + 0 + 18*x - s*x. Give p(f(j)). -11*j Let b(o) = 120*o**2 + 2*o. Let c(l) be the first derivative of 2*l**3 + 190. Calculate b(c(i)). 4320*i**4 + 12*i**2 Let u(q) = -495*q + 231. Let x(j) = 13*j - 6. Let l(a) = 2*u(a) + 77*x(a). Let z(k) = -k**2. What is z(l(c))? -121*c**2 Let i(h) = 28*h**2. Let l(y) be the third derivative of -y**5/60 + 3*y**2 + 37*y. Give i(l(n)). 28*n**4 Suppose 3*x - 48 + 0 = 0. Suppose -x*m + 17*m = 0. Let i(l) = 2*l - 4 + m*l + 4. Let r(p) = -p. Give r(i(z)). -2*z Let t(i) = -3*i. Suppose 2*x = 3*x - 5. Suppose 5*v + 3 = 4*u + 5, 0 = x*v - 5*u. Let m(d) = -3*d**2 + 0*d**2 - 3*d**v + 5*d**2. What is m(t(c))? -9*c**2 Let m(q) = -q**2 - q. Let r(i) = -12*i**2 - 15*i. Let p(o) = -90*m(o) + 6*r(o). Let s(c) = 9*c. Determine p(s(l)). 1458*l**2 Let q(p) = p**2. Let n(j) = -25*j + 29 - 29 - 39*j. Give q(n(h)). 4096*h**2 Let t(d) = 3*d. Let f(c) = 65*c + 60*c + 61*c - 223*c + 75*c. Determine f(t(u)). 114*u Let r(t) = 2*t**2 - 5*t. Let u(y) = -12 - 19*y + 8*y + 12 + 18*y. Give r(u(c)). 98*c**2 - 35*c Let k(g) = -2*g. Suppose -2*y = -46 + 10. Let b = -16 + y. Let j(d) = -6*d**2 + 0*d**2 + 4*d**b. Calculate k(j(q)). 4*q**2 Let m(s) be the third derivative of -7*s**5/20 + s**4/12 - 6*s**2. Let q(v) = 41*v**2 - 5*v. Let i(p) = -5*m(p) - 2*q(p). Let c(x) = -2*x. Give i(c(f)). 92*f**2 Let z(n) = -3*n + 2. Let h(b) = 9*b - 10. Let g(d) = -h(d) - 5*z(d). Let v(x) = -10*x. Give v(g(u)). -60*u Let d(y) = -61606*y. Let u(n) = n. Determine d(u(k)). -61606*k Let g(y) = 9*y + 5. Let z = -8 - -13. Let c(a) = -a - 1. Let x(f) = z*c(f) + g(f). Let u(l) = -2*l**2. Determine u(x(j)). -32*j**2 Let z(p) = -14*p + 172. Let y be z(12). Let b(k) be the third derivative of 0*k - k**2 + 0*k**3 + 7/24*k**y + 0. Let u(i) = -i. Determine b(u(w)). -7*w Let g(h) = h. Let r(q) = q**2 - 3*q. Let b(a) = 3*g(a) + r(a). Let i(w) = -13*w. Let k(l) = 3*l - l - 5*l. Let t(m) = -2*i(m) + 9*k(m). Give t(b(j)). -j**2 Let c(z) = -2*z + 1. Let d be c(-3). Suppose q - 2 = -0*q. Let n(h) = 0*h**2 + 7 + 3*h**q - d. Let w(g) = 4*g. Give n(w(i)). 48*i**2 Let p(h) = -43*h**2 + 44. Let f(z) = 16*z. Give p(f(a)). -11008*a**2 + 44 Let g(x) = 2*x**2. Let z(c) be the second derivative of -301*c**3/3 + 7*c + 6. What is z(g(r))? -1204*r**2 Let c(x) = 3*x**2 - 11*x**2 + 6*x**2. Let m = 15 - 12. Let t(l) = 5*l**2 - m*l**2 + 0*l**2. What is t(c(k))? 8*k**4 Let d(r) = -15*r. Let u(g) = 2*g + 2. Let l(k) = -k + 1. Let w(h) = -2*l(h) + u(h). Calculate w(d(f)). -60*f Let u(a) = -4*a**2. Let t(z) be the third derivative of -z**5/20 + 86*z**2. Determine u(t(n)). -36*n**4 Let i(q) be the second derivative of 7*q + 0 + 7/6*q**3 + 0*q**2. Let f(z) be the third derivative of z**5/30 + z**2. Calculate i(f(v)). 14*v**2 Let d(l) = 2*l. Let z(a) = -516689*a. Determine z(d(m)). -1033378*m Let i(b) = b. Let j(n) = n**3 + 14*n**2 - 15*n + 2. Let a = -35 - -20. Let s be j(a). Let d(c) = c - 7*c - 3*c**s + 6*c. Give i(d(k)). -3*k**2 Let k(x) = 679064*x**2. Let l(v) = -3*v**2. Calculate l(k(u)). -1383383748288*u**4 Let m(a) = 50*a**2. Let b(j) = 21*j**2. Let k(y) = -5*b(y) + 2*m(y). Let r(u) = 2*u + 14. Calculate r(k(g)). -10*g**2 + 14 Let w(v) = 6*v - 172. Let p be w(29). Let j(l) be the first derivative of 0*l + 1 + 0*l**p + 13/3*l**3. Let x(t) = 2*t**2. What is x(j(k))? 338*k**4 Let k = 4 - 0. Let g(y) = y + k*y - 2*y. Let c(h) = -h**2 + h - 1. Let p(m) = 3*m**2 + 2*m - 2. Let w(s) = 2*c(s) - p(s). What is g(w(o))? -15*o**2 Let b(m) = m - 1. Let t(x) = x**2 - 5*x + 5. Let y(f) = -5*b(f) - t(f). Let s(o) be the third derivative of 0*o**3 + 1/12*o**4 - 5*o**2 + 0 + 0*o. Give s(y(u)). -2*u**2 Let w(z) = -40564*z. Let m(p) = p**2. Determine w(m(k)). -40564*k**2 Let m(x) = -100*x + 49*x + 49*x. Let d(l) be the third derivative of l**5/60 + 3*l**2. Calculate d(m(b)). 4*b**2 Let v(z) = -z**2. Let u(x) = 86*x - 137*x + 1 - 140*x. Give u(v(n)). 191*n**2 + 1 Let h(u) = 3*u. Let q(m) = 2*m. Let a(k) = -3*h(k) + 4*q(k). Let x(z) = -77*z. Let g(v) = -9*v. Let i(r) = -42*g(r) + 5*x(r). Determine i(a(w)). 7*w Suppose -24 = -8*v + 2*v. Let x(u) = 14*u**2 - v*u**2 - 7*u**2. Let y(q) be the third derivative of -q**5/10 - q**2. What is x(y(d))? 108*d**4 Suppose u = 5*q - 3*u + 52, 0 = 4*q + 2*u + 52. Let f(i) = -3*i**2 + 12*i. Let z(x) = x. Let l(b) = q*z(b) + f(b). Let n(t) = -2*t**2. Calculate l(n(j)). -12*j**4 Let p(i) = 7*i - 201. Let y(q) = 7*q**2. What is p(y(u))? 49*u**2 - 201 Let d(z) = 1143*z**2. Let o(w) = 1110*w. Calculate d(o(k)). 1408290300*k**2 Let v(t) = -1018*t. Let p(c) = 678*c**2. What is v(p(i))? -690204*i**2 Let p(u) = 4*u - 4*u + u**2. Let y(c) = 40*c**2 - 21*c - 7. Let r(j) = -15*j**2 + 6*j + 2. Let n(d) = 21*r(d) + 6*y(d). Calculate p(n(i)). 5625*i**4 Let o(n) be the second derivative of -2*n + 0*n**3 + 0*n**2 - 1/4*n**4 + 0. Let s(m) = -52*m - 56*m + 156*m - 52*m. What is o(s(z))? -48*z**2 Let w(p) = -942047*p. Let z(f) = -4*f. What is w(z(s))? 3768188*s Let l(h) = 2*h. Suppose 4*q - 325 = -325. Let n(p) be the second derivative of q + 0*p**3 - 2*p - 3/4*p**4 + 0*p**2. What is l(n(a))? -18*a**2 Let o(j) = -2*j**2. Suppose 0 = -1615*w + 1620*w - 10. Let x(g) be the third derivative of 0*g + 0*g**3 + 0*g**4 - 19/60*g**5 - 8*g**w + 0. Give x(o(l)). -76*l**4 Let g(x) = -3*x**2. Let t(f) be the first derivative of -89*f**2/2 + 74. Calculate g(t(m)). -23763*m**2 Let l(p) = 2*p**2. Let d(b) = -91444*b**2. What is l(d(q))? 16724010272*q**4 Let m(z) = -3*z**2 - 71*z. Let q(k) = 7*k + 2. Determine q(m(h)). -21*h**2 - 497*h + 2 Let p(x) = 2*x. Let a(n) be the first derivative of -7*n**5/120 + 5*n**3 + 3. Let w(o) be the third derivative of a(o). What is w(p(t))? -14*t Let j(o) = -2*o**2 + 35. Let n(u) be the third derivative of -u**4/8 + u**2 - 2*u. What is n(j(z))? 6*z**2 - 105 Let h(x) = -58*x + 9. Let y(c) = 13*c - 2. Let m(t) = 2*h(t) + 9*y(t). Let r(j) = -22*j**2 - 7*j. Give m(r(p)). -22*p**2 - 7*p Let p(u) = 6*u. Let a(t) = 5*t + 1. Let m(y) = -y. Let i(b) = 2*a(b) + 9*m(b). Let v(g) = 3 - 6 + g + g - 4*g. Let d(f) = -3*i(f) - 2*v(f). Give p(d(r)). 6*r Let b = -42 - -46. Let d(c) = 4*c - 6 - b + 10. Let h(p) be the first derivative of -p**2/2 + 1. Calculate d(h(q)). -4*q Let r(o) = -35*o**2. Let h(z) be the first derivative of 2*z**2 + 67. Give h(r(g)). -140*g**2 Let s = 95 + -90. Let c(v) = s*v**2 + 5*v**2 + 13*v**2 - 15*v**2. Let h(u) be the first derivative of u**2 - 1. Give h(c(m)). 16*m**2 Let x(u) = 44*u. Let b = 36 - 27. Let g(w) = -w + b*w**2 - 10*w**2 + w. Give g(x(c)). -1936*c**2 Let u(y) = -6*y + 15. Let c(x) = -7*x + 18. Let s(f) = 5*c(f) - 6*u(f). Let a(p) = 351*p**2. Determine a(s(z)). 351*z**2 Let q(d) = 2*d**2. Let j(n) be the first derivative of -n**6/60 + 20*n**3/3 + 22. Let t(b) be the third derivative of j(b). Determine t(q(m)). -24*m**4 Let z(m) be the second derivative of m**4/3 - 3*m. Let h(j) be the third derivative of j**4/24 - 55*j**2. What is h(z(i))? 4*i**2 Let k(p) = 7*p - 6. Let w(h) = -15*h + 13. Suppose 0*l + 2*l = 26. Let z(j) = l*k(j) + 6*w(j). Let b(a) = -35*a + 29*a + 6*a - 2*a**2. What is b(z(n))? -2*n**2 Let q(y) = -109582*y - 12. Let u(m) = -2*m. What is q(u(h))? 219164*h - 12 Let g(j) = 5*j**2 - 3*j. Let w(c) = -4*c**2 + 3*c**2 + 5*c - 8*c**2. Let u(k) = 5*g(k) + 3*w(k). Let d(p) = 24*p. Determine d(u(r)). -48*r**2 Let g(v) = 5*v + 1. Suppose 8 = -0*j + 4*j. Let c(h) = -66*h**2 + 18*h**j + 28*h**2 + 21*h**2. What is g(c(z))? 5*z**2 + 1 Let t(u) = 6*u*
{ "pile_set_name": "DM Mathematics" }
inator of h and -46/9. 5031 Let d be 1*2/2348*-8. Let w be ((-64)/44)/8 - (-48046)/(-12914). Let j = d + w. Calculate the common denominator of j and -31/6. 66 Let p = 21493/220 + -2025/22. Let v = -1142571/73 - -15653. Let j = 4661/1460 - v. Find the common denominator of p and j. 20 Let h(m) = 11*m**2 - 177*m - 518. What is the lowest common multiple of h(-3) and 192? 1344 Let j = 24 + -21. Suppose j*h = 3*q - 12, 2*q + 2*q - 2*h - 10 = 0. What is the smallest common multiple of (q - (-8)/4) + 1 and 4? 4 Let l(b) = -8*b + 8. Let y be l(-6). Let x = 79 - y. Let q = x + -13. Calculate the smallest common multiple of 3 and q. 30 Calculate the common denominator of -53/6 and (3 - -2 - 2) + 4316/520. 30 Let p(g) = -16*g - 28. What is the lowest common multiple of p(-4) and 28? 252 Suppose 40*q + 90 = 43*q. What is the lowest common multiple of 90 and q? 90 Let u be (-4 + (-88305)/459)/(26/(-3)). Let y = u - -3/442. Calculate the common denominator of y and 91/18. 18 Let q = -27 - -41. Calculate the lowest common multiple of q and ((-10)/(-6))/(10*(-3)/(-108)). 42 Suppose 3*w - 13 = -88. Let j = -5 - w. Calculate the least common multiple of 20 and j. 20 Let k = 373044 - 727491/2. Let p = 36386969/9 + -4033691. Let j = k - p. What is the common denominator of 79/44 and j? 396 Let n = -21/599 + -34711/17970. What is the common denominator of n and (158/20)/(-2*8/20)? 120 Let p(h) = -16*h - 158. Calculate the lowest common multiple of p(-11) and 12. 36 Let p = 5537/9 + -616. Calculate the common denominator of p and 34. 9 Let l(n) = -4 + n**2 - 2*n + 1 + 4. Let p(b) = -b**3 + 6*b**2 - 6*b + 2. Let w be p(5). What is the lowest common multiple of l(w) and 6? 48 Find the common denominator of ((-164)/(-8))/(77/(-2)) and -101/110. 770 Suppose -3*q + 4 = -2*m, -6*m + 3*m + 5*q = 6. Let k = 6 + m. Let u = 87 - 81. What is the lowest common multiple of u and k? 12 Let w = 6534 + -14028. Let a = w + 74873/10. Find the common denominator of (17/18)/((-2)/(-15)) and a. 60 Suppose 4*f = -2*f - 24. Calculate the common denominator of -59/14 and (f - -2)*-1 - (-39)/(-30). 70 Let z be 1 + 14/(-10) + (-36608)/80. Calculate the common denominator of 1/10 and z/540 + (-3)/(-15). 270 Let m(i) = -i**3 + 8*i**2 - 4*i - 11. Let t be (5 - -3) + -1 + 0. What is the lowest common multiple of m(t) and 15? 30 Let l = 10 + -4. Suppose -5*q = -19 - l. Suppose -13 = -q*s + 27. Calculate the least common multiple of s and 7. 56 Let j = -272 + 275. What is the least common multiple of j and (35/21)/(2/12)? 30 Let w = -715 - -727. What is the lowest common multiple of 84 and w? 84 Suppose 14 + 22 = 4*n. Calculate the smallest common multiple of n and 521. 4689 Suppose -10 = -7*o + 2*o. Suppose -z + 6*z - 160 = -2*f, -4*f = -o*z + 64. Calculate the common denominator of -109/22 and (-86)/z - (-1 + 1). 176 Suppose 7*y - 6*y = -4. What is the least common multiple of (-24)/y + -4 - 1 and 6? 6 Let r(n) = -2*n**3 + 2*n**2 + n. What is the least common multiple of r(-2) and 6/(510/(-66) - -8)? 22 Suppose -i + 48 = -4*u, 4*i = 5*u - 21 + 202. Calculate the smallest common multiple of i and 36. 396 Let m = 18 + -15. Suppose l + l + 57 = -r, -m*r - 141 = 5*l. Calculate the common denominator of (1029/(-28))/(l/4) and -25/4. 20 Let s = -719288/33 + 21795. Calculate the common denominator of 149/78 and s. 858 Let k(p) = p**3 + p. Let o be k(0). What is the common denominator of 26/(-20) - (-2 - o) and (8 - (-434)/(-56)) + 0/(-1)? 20 Let y = 5066/5 - 1008. Find the common denominator of 137/78 and y. 390 Let v = -2992 - -11893/4. Let n = -6573 + 374761/57. Let w = 605/38 - n. What is the common denominator of w and v? 12 Let c = -14 + 16. Suppose 0 = m - 0*v - c*v, -m = -4*v + 2. Suppose 0 = 5*g + a - 42, -5*a = -g - 0*a - m. Calculate the least common multiple of 11 and g. 88 What is the common denominator of -37/12 and 543/(-4860)*(-3 + 6/1)? 540 Let n(b) = 2*b**2 + 18*b - 56. What is the lowest common multiple of n(5) and 10? 420 Let z(b) = -b - 14. What is the least common multiple of 9 and z(-15)? 9 Let c = 58 + -25. Suppose -2*z + 2*i = -0*i - 10, 3*i = -2*z + 30. What is the least common multiple of z and c? 99 Suppose 0 = -c - 2*c - 624. Calculate the common denominator of 109/6 and 10/14*c/(-32). 42 Suppose 0 = -2*p - i + 13, 0 = 154*p - 158*p - 4*i + 16. Let m = 28 - 20. What is the lowest common multiple of m and p? 72 Let j = -53/98 + 1133/490. What is the common denominator of j and 47/290? 2030 Let n = 5991014/429 - 13965. What is the common denominator of -31/33 and n? 429 Let c = -17/1951 - 362797/234120. Calculate the common denominator of c and -86/21. 840 Suppose -2*o + 26 = o - 2*k, 20 = o + 5*k. Suppose 0 = -t - 3*r - 3, 5*t - r = r + 36. What is the least common multiple of o and t? 30 Let a = 1934901/814 + -26154/11. Let v = a - -1607/148. What is the common denominator of v and -50/37? 148 Let u = 245 - 106. Suppose -6*l - 103 = -u. Suppose 5*i - q + 4*q - 35 = 0, -2*i = -5*q - 14. What is the lowest common multiple of l and i? 42 Let a = -9 - -21. Let t = -1253/4 + 317. Find the common denominator of t and (0 - -17)*2/a. 12 Find the common denominator of (684*16/1280)/(12/10) and (-1)/((-39)/120) + -3. 104 Suppose r + 3*p = 15 + 23, -p = -3*r + 84. Suppose u - r = 3*c, -1 - 36 = -3*u - c. What is the lowest common multiple of u and 8? 56 Calculate the common denominator of (-130)/(-72) - (-9 - 31/(-4)) and 53/10. 90 Suppose 5*k + 643 = -0*z - 3*z, -2*z - 2 = 0. Let u = k - 270. Let y = 2794/7 + u. What is the common denominator of 93/2 and y? 14 Let p be ((-50)/(-2))/(3/9) - 3. Suppose p = 3*g + f, g - f - 72 = -2*g. What is the smallest common multiple of g and 81? 648 Let n be (-1)/(1 + 2)*-21. Let t = 7 - 4. Calculate the least common multiple of n - (-2 - (-3 - 2)) and t. 12 Suppose 2*u - 4*z - 18 = 0, u + 2*z - 10 = 3. Calculate the lowest common multiple of u and 9. 99 Suppose 400*v - 397*v - 363 = 0. What is the least common multiple of v and 99? 1089 Let c(m) = 34*m**3 - m**2 + m - 1. Calculate the smallest common multiple of 15/1 + 6/(-10)*-5 and c(1). 198 Let g = -23665/84 + 2038/7. Let w = -5819 + 128075/22. Calculate the common denominator of w and g. 132 Let s = -21 + 13. Let y be 81 + s/(-4) - 3. Calculate the common denominator of 724/(-6)*4/y and 35/16. 240 Let h(x) = -x**2 - 7*x - 14. Let g be h(-5). Calculate the common denominator of -4 + (-3 - g) - 125/(-12) and -131/24. 24 Suppose -48 + 46 = l, 2*l = -5*g + 396. Calculate the smallest common multiple of g and 152. 1520 Let l = 10/5469 + -47392/31900677. Let w = l - 367495/46664. Find the common denominator of 195/(-104)*62/10 and w. 8 Suppose 2 = 3*h - 4. Suppose -f + 4*g = 3*f + 36, f + 5*g - 21 = 0. Let o(k) = -3*k - 2. Calculate the smallest common multiple of h and o(f). 10 Calculate the common denominator of 25/7 and 44/140 + 15/(-35). 35 Calculate the common denominator of ((-20)/40)/(4/51) and -6/13. 104 Let h = -31533/2804 - 3/701. Let x be -4 - 629/(-641) - 6/(-2). Let m = x - 32571/6410. Find the common denominator of m and h. 20 Let o be 24/3 + 1/(-1). Let r = 9 - o. Calculate the common denominator of (r - 108/28)/2 and -19/6. 42 Let x(p) be the second derivative of -p**4/12 + 5*p**3/6 + 5*p**2 - 12*p. What is the lowest common multiple of x(5) and 13? 130 Let g = 81 - 36. Calculate the lowest common multiple of 6 and g. 90 What is the least common multiple of 9*(-12)/18 - (-350)/5 and 112? 448 Let r(f) = f**2 - 7*f + 8. Let y = 23 + -32. Let u(i) = -i**3 - 10*i**2 - 11*i - 2. What is the least common multiple of r(7) and u(y)? 16 Let z = 4565 - 136963/30. What is the common denominator of 11/51 and z? 510 Let b = 23 + 129. What is the smallest common multiple of 7 and b? 1064 Suppose -5*t + 24 + 9 = 3*b, 4*t = 4*b + 20. Let n(z) = 11*z**3 + 7*z + 6. Let g be n(t). What is the common denominator of g/(-16)*1/3 and 113/18? 18 Let a(t) = 16*t**2 - 9*t + 20. Calculate the least common multiple of a(2) and 88. 264 Let b = 599 - 595. Calculate the least common multiple of b and 34. 68 Let a(v) = -445*v - 8. Let n be a(4). Let d = n + 7083/4. Find the common denominator of d and 99/8. 8 Suppose -5*l + 17 = 22. What is the least common multiple of 30 and (-29)/l + 3 + -2? 30 Let m(y) =
{ "pile_set_name": "DM Mathematics" }
x = 23/12 - -7/12. What is the common denominator of x and 13/12? 12 Let s(y) = -3*y - 6. Let c = -1 - -10. Calculate the least common multiple of s(-4) and c. 18 Calculate the least common multiple of 18 and (6/8)/(2/8). 18 Let o = 51269 - 97513/2. Let y = o - 2585. Let v = -67 - y. What is the common denominator of v and -27/20? 20 Suppose 3*i = 2*u + 2, -2*u = -4*u + 2*i. Let y(m) = -m**3 + 6*m**2 + m - 5. Calculate the lowest common multiple of y(6) and u. 2 Let u = -1871/315 + -67/45. Calculate the common denominator of u and 79/2. 14 Suppose 0*f + 4*f = 3*s + 6, 5*s = 2*f + 4. Suppose -i + s*i = 12. What is the lowest common multiple of i and 2? 12 Let d(a) = -a + 4. Let h be d(-5). Suppose 3*m - 2*f + 7 = 27, m - h = 3*f. Let x(n) = -n**2 + 7*n + 1. What is the lowest common multiple of 2 and x(m)? 14 Calculate the common denominator of -75/16 and 6 + -8 + 17/12. 48 Find the common denominator of -29/12 and 27/(-16) - (0 + -1). 48 Suppose -q + 3*y = 10, -4*y = -5*q + y. Suppose 6*f = -3 + 87. What is the smallest common multiple of f and 2/5 - (-8)/q? 14 Suppose 4*w + 1 = 5. Let r = -1 + 6. Calculate the smallest common multiple of r and w. 5 Let o = 289 + -3184/11. Let w = 191/2 + -493/6. Calculate the common denominator of o and w. 33 Let g be (-12334)/792 - 8/36. Let i = 45/22 + g. Let z = 2223/2 + -1086. Find the common denominator of i and z. 4 Calculate the common denominator of (-2 - -3)/((-70)/(-777)) and -87/4. 20 Suppose 9 = 4*o - 15. Let u(t) = -4*t + 15. Calculate the lowest common multiple of u(2) and o. 42 Suppose 5*i - 28 = 42. What is the smallest common multiple of 22 and i? 154 Let u be 6647/(-16605) - 4/(-10). Let j = u - 11438/3321. Calculate the common denominator of ((-644)/42)/(3 - -1) - 4 and j. 18 Let f = 84125/14 + -6003. Calculate the common denominator of -103/10 and f. 70 Let z = -51 + 79. Calculate the smallest common multiple of z and 16. 112 Let n(w) be the third derivative of -w**5/60 - w**4/4 + w**3/6 - 2*w**2. Calculate the lowest common multiple of n(-6) and 1. 1 What is the common denominator of 117/10 and ((-136)/(-16))/(-1*11)? 110 Suppose 0 = -4*u - 0*u - 44. Let y = -6 - u. Suppose y*z - 50 = -5*d, -30 - 8 = -3*z - 5*d. Calculate the lowest common multiple of 14 and z. 42 Let i(w) = -w + 12. Suppose 4*u = 29 + 7. What is the lowest common multiple of u and i(11)? 9 Let r(o) = -18*o**2 + o - 1. Let w(b) = 36*b**2 - b + 1. Let i(f) = 5*r(f) + 3*w(f). What is the lowest common multiple of 6 and i(1)? 18 Let a = 722/3 - 760/3. What is the common denominator of 89/8 and a? 24 Suppose 0 = 4*z - 9*z - 40. Let j = 15 + z. Calculate the lowest common multiple of 4 and j. 28 Let f(v) = v**3 - 12*v**2 - 17*v + 17. Let u be f(13). Find the common denominator of -11 + 9 - u/6 and 59/2. 6 Let o be (-3 + 2)/((-1)/3). Suppose 2*u + 10 = -2*z, 0 = -3*z + 5*z + 8. Calculate the least common multiple of 20 and (u - 17)*(-2)/o. 60 Let f(y) = y**2 - 6*y + 10. What is the lowest common multiple of 18 and f(5)? 90 Let v(n) = -n**2 + 6*n + 3. Let k(m) = -m**3 + 4*m**2 - 4. Let a be k(3). Calculate the least common multiple of 4 and v(a). 8 Let p = -962 + 7651/8. Let g = p + 5. Find the common denominator of -19/5 and g. 40 Calculate the smallest common multiple of 2 and ((-1)/3)/(12/(-360)). 10 Let g = -20 - -24. Suppose -2*k - b + 26 = 0, k + g*b = -0*b + 20. What is the lowest common multiple of k and 16? 48 Let j = -123 + 187. What is the lowest common multiple of 8 and j? 64 Calculate the common denominator of 597/350 - (-8)/(-28) and 43/2. 50 Let o = -2617/261 + 149/29. Let k = -847 + 1756. Let y = k - 10050/11. Calculate the common denominator of y and o. 99 What is the common denominator of 39/22 and 4 + (1/(-42) - 0)? 462 Suppose x = 4*x + 2*k + 3682, -4*k - 4912 = 4*x. Let w = -2377/2 - x. Find the common denominator of w and (-2)/(-64)*-43*2. 16 Let y = -23 + 32. Let h be 9/2*(-8)/(-6). Calculate the lowest common multiple of 16/h - (-6)/(-9) and y. 18 Suppose 0 = -j + 1, -4*c + c - 5*j - 271 = 0. Let u = c + 911/10. Find the common denominator of 14/5 and u. 10 Suppose 0 = -b - 9 + 4. What is the common denominator of 174/(-20) + (-5)/b and (1/2)/(18/236)? 90 Let s = 20 + -12. Calculate the lowest common multiple of 10 and s. 40 Let a be 2 + (1/(-1))/1. Calculate the smallest common multiple of 2 and -18*1*(a + -2). 18 Let p = 26/15 - 1117/30. Calculate the common denominator of p and (-15)/(-28)*4/6. 14 Let t be 3/(-12) - 1228/16. Let j = -55 - t. What is the common denominator of -30/11 and j? 11 Let c be (-17 + 2)*(-8)/20. What is the least common multiple of 9 and (-12)/(-8)*8/c? 18 Let q = 3689881/6 + -618488. Let y = q - -3532. Calculate the common denominator of 13/14 and y. 42 Let j = -19 + 31. What is the smallest common multiple of j and 7? 84 Suppose -q - 35 = 2*g + 84, 5*q - 5*g + 670 = 0. Let f = q + 661/5. What is the common denominator of 42/11 and f? 55 Let r(p) = 10*p**3 - p**2 + p. What is the smallest common multiple of 12 and r(1)? 60 Let g(n) = -5*n - 8. Let x be ((-5)/(-10))/((-1)/12). Let f be g(x). Suppose 0 = -2*w - 2 + f. Calculate the smallest common multiple of w and 14. 70 Let m = 71 - 23. Let d = -6 + 10. Suppose d*k = -0*k + m. Calculate the least common multiple of 18 and k. 36 Let u = 42360464/11 - 3854110. Let q = -3161 - u. What is the common denominator of -1*(-2)/(-3) - 24 and q? 33 Suppose -3*w + 3*g + 249 = 0, -2*w = -3*g + 2*g - 163. Let i be 4/(-10) + (-1085993)/w. Let s = i - -13571. Calculate the common denominator of 19/10 and s. 80 Let w = -2/5693 + -267559/34158. Find the common denominator of w and -43/12. 12 Let y = 514 - 3631/7. What is the common denominator of -68/21 and y? 21 Let s = 12/43 + -289/1806. Find the common denominator of -79/21 and s. 42 Calculate the common denominator of (-12)/9*(16 - 3) and -31/73. 219 Suppose -z - z = 5*p + 953, -2*z - 197 = p. Find the common denominator of (-1)/(-4) + p/(-20) and 30/7*9/15. 70 Let c = 2373/8 - 296. Let s = 52837/6 + -8782. Calculate the common denominator of c and s. 24 Suppose 0 = 2*a - 4*a + 2*b + 50, -2*b = -3*a + 72. Calculate the common denominator of 79/18 and (214/a)/((-2)/1). 198 Let c = -3831 - -76531/20. What is the common denominator of 91/6 and c? 60 Suppose 50*n - 55*n + 40 = 0. Calculate the smallest common multiple of 1 and n. 8 Suppose i - 1270 = -2*w, -6332 = -5*i - 3*w - w. Let q = -13880/11 + i. Calculate the common denominator of (20/(-3))/2*-3 and q. 11 Let i = 100 + -16. Suppose 5*x = 2*p + i, 1 = -2*p - 3. What is the smallest common multiple of 22 and x? 176 Suppose 22 = 5*g + 3*w - 6*w, 10 = -5*g - 5*w. Let h be 35 + 0 - (-6)/(-6). Suppose g = 3*k - h. Calculate the least common multiple of 18 and k. 36 Suppose -533303 + 224458 = 5*l - 3*s, -3*s - 247049 = 4*l. Let c = l + 44903873/727. Let j = 38630/7997 + c. Calculate the common denominator of j and 65/2. 22 Suppose 10*c - 10 = 5*c. Let b = 2 - c. Find the common denominator of (-71)/22*(b + -1) and -113/20. 220 Let w = 22909/5166 + -45/287. Calculate the common denominator of 1/((-33)/4)*-9 and w. 198 Let a = 89/76 - -30/19. Let r = 3907 + -50822/13. What is the common denominator of r and a? 52 Suppose -a = -4*a + 12, 2*j + 14 = 5*a. Let x = 6 - j. Calculate the smallest common multiple of x and 3. 3 Let f(n) = -n**3 - 8*n**2 - n - 6. Suppose 5*g = 4*i + 28, 5*g = 2*g + 5*i + 22. Let p = g - -5. Calculate the lowest common multiple of p and f(-8). 18 What is the least common multiple of -1 - (-18 + 1) - 2*1 and 110? 770 Let v = 338983/32910 + -1/3291. Let l = -6/5 + 8/5. What is the common denominator of v and l? 10 Let z = -21 - -29. What is the smallest common multiple of z and 9? 72 Let j = 1/259469 + -1597550637/1037876. Let t = 1555 + j. Calculate the common denominator of t and (-2)/7 - 662/(-14). 4 Let n = 5 + -1. Suppose 5*r = r - 4*c + 40, 2*c - 15 = -r. Calculate the least common multiple of n and r. 20 Suppose -v - 25 = -5*y + 4*v, 0 = -4*y + v + 17. Calculate the lowest common multiple of 8 and y. 8 Calculate the common denominator of 56/3 + (-2)/(-3) and 2/5 + (-3855)/450. 6 Let l = 493 - 3955/8. Find the common denominator of -51/16 and l. 16 Let z = -4 - -2. Let r be (3/z)/(1/(-36)). Find the common denominat
{ "pile_set_name": "DM Mathematics" }
v) + o(v). Differentiate z(w) with respect to w. -4*w**3 + 16*w Find the third derivative of 81403*x**3 - 431*x**2 - 218*x**4 - 81403*x**3 wrt x. -5232*x Let q(p) = -8*p**3 + p**2 - p - 4. Let d be q(-2). Suppose 5*b + 6 = d. Find the third derivative of 4*i**6 - 3*i**6 - 14*i**2 + b*i**2 + 0*i**6 wrt i. 120*i**3 What is the first derivative of 11*b**4 - 59*b + 60*b - 53 + 8 - 9*b**4 wrt b? 8*b**3 + 1 Let p(w) = 624*w**4 + 135*w**2 + 21*w. Let d(g) = 125*g**4 + 27*g**2 + 4*g. Let a(r) = -21*d(r) + 4*p(r). What is the third derivative of a(b) wrt b? -3096*b Let x(y) be the first derivative of 56*y**4 + 319*y**3/3 + 211. What is the third derivative of x(q) wrt q? 1344 Let b(u) be the first derivative of 107*u**4/4 + u**2 - 171. What is the second derivative of b(r) wrt r? 642*r Let f(c) be the second derivative of -413*c**6/30 - 291*c**2 + 14*c + 28. Differentiate f(a) wrt a. -1652*a**3 Suppose 4*p = -3*d + 539, 2*d - 2*p - 173 = d. What is the third derivative of -d*o**2 + 206*o**2 - 5*o**6 - 12*o**6 wrt o? -2040*o**3 Let m(c) be the first derivative of 40*c**5 - 18*c**2 - c + 80. What is the second derivative of m(w) wrt w? 2400*w**2 Let r(i) be the first derivative of 4*i**5/5 + 11*i**4/6 - 3*i - 7. Let p(f) be the first derivative of r(f). What is the third derivative of p(h) wrt h? 96 Find the first derivative of -45*q + 16*q + 62 + 18*q - 26*q**2 + q**3 + 11*q wrt q. 3*q**2 - 52*q Let z(k) = -9*k**3 - 5*k**2 - 140*k - 457. Let o(q) = -5*q**3 - 2*q**2 - 69*q - 229. Let s(d) = 5*o(d) - 2*z(d). Differentiate s(n) with respect to n. -21*n**2 - 65 Let p(s) = s**3 + s**2 - s - 1. Let h(x) = -145*x**3 - 4*x**2 + 4*x - 172. Let v(l) = h(l) + 4*p(l). Differentiate v(g) wrt g. -423*g**2 Let a be (3/(54/(-60)))/(2/(-3)). Find the third derivative of -9*t**a + 1322*t**2 - 13*t**5 - 1323*t**2 wrt t. -1320*t**2 Let a be -3*(-4)/(-30)*-10. Let m = a - -7. What is the first derivative of m*g**4 - 4*g**4 + 17 - 10 wrt g? 28*g**3 Let c(t) = 63*t**5 + 2*t**3 - 4*t**2 + t + 354. Let q(g) = g**5 - g**3 + 1. Let b(d) = c(d) + 2*q(d). What is the second derivative of b(z) wrt z? 1300*z**3 - 8 Find the third derivative of -46*j**2 - 25*j**2 + 3 - 5*j**5 + 68*j**4 + 65*j**4 - 39*j**4 wrt j. -300*j**2 + 2256*j Suppose -3*i + 8*i - 20 = 0. What is the first derivative of 2 - 11*k**2 - i - 9 + 1 wrt k? -22*k Let l(f) = -12 - 4*f - 3 + 5*f**2 + f**3 - 5*f + 0*f**3. Let o be l(-6). Find the third derivative of -690*u**3 - 4*u**6 + 690*u**o - u**2 - 2*u**6 wrt u. -720*u**3 Suppose 4*i = 6*i - 6. Differentiate 15*a**3 + 18*a**3 + 2*a**i - 9 wrt a. 105*a**2 What is the second derivative of -33*b**2 - 42*b + 56*b + 4 - 3 wrt b? -66 Let m = -1 + 3. Let v be m + (-6)/2 + 5. What is the second derivative of c**v - c - 4*c**4 + 2*c wrt c? -36*c**2 Let m(d) = d**4 - d. Let w(l) = -14*l**5 + l**4 - 8*l + 6. Let x(b) = -4*m(b) + w(b). Find the second derivative of x(i) wrt i. -280*i**3 - 36*i**2 Let s(b) be the first derivative of 25*b**4/4 + 7*b**3 + 137. What is the third derivative of s(g) wrt g? 150 Find the third derivative of 37*u - 11*u**2 + 43*u - 80*u - u**3 + 19*u**4 + 3 wrt u. 456*u - 6 Let x(p) be the second derivative of -p**4/6 + 53*p**3/6 - 55*p**2/2 - 3*p - 21. What is the derivative of x(j) wrt j? -4*j + 53 Let j(m) be the first derivative of 2*m**5/5 + 28*m**3/3 - m**2/2 + 335*m - 386. What is the second derivative of j(t) wrt t? 24*t**2 + 56 Suppose 0*r + 3*r = -t + 11, -5*r + 5*t = 15. Let p be ((-27)/12 - -2)*-8. What is the second derivative of -4*g**2 - 9*g**4 - r*g**p + 6*g**2 + 2*g wrt g? -108*g**2 Suppose 2*q + 4*l - 62 = -0*q, 0 = 5*l - 25. Suppose 4*b + p - 26 = 0, -4*b + 7 + q = 2*p. What is the first derivative of -b + 5*g**3 - 15*g**3 - 3 wrt g? -30*g**2 What is the second derivative of q**2 - q + 6 + 0 - q**5 - 7*q**5 - 17*q**5 wrt q? -500*q**3 + 2 Let q be 66/4*8/6. Let o = 26 - q. What is the second derivative of -814*x**4 + 7*x + 814*x**o - 11*x**5 wrt x? -220*x**3 Let y(q) = -2*q**3 - 3*q**2 - 3*q - 41. Let o(t) = 3*t**3 + 2*t**2 + 2*t + 41. Let c(s) = -3*o(s) - 2*y(s). Differentiate c(f) wrt f. -15*f**2 Let j be 2*(-3)/2 - -5. Suppose -18 = -2*b + 5*i, -4*b + 0*b = -3*i - 22. What is the derivative of b*a**j + 1 + 315*a - 315*a wrt a? 8*a Let q(x) = -16*x**3 + 3*x**2 - 2*x + 430. Let n(o) = -19*o**3 + 4*o**2 - 3*o + 428. Let r(y) = 2*n(y) - 3*q(y). What is the third derivative of r(k) wrt k? 60 Differentiate 310*j**4 - 36630*j**2 + 9 + 149 - j**3 + 36630*j**2 with respect to j. 1240*j**3 - 3*j**2 What is the third derivative of 483*n**3 + 185*n**5 - 488*n**3 - 793*n**2 - 211*n**5 wrt n? -1560*n**2 - 30 Differentiate 5503*z**2 + 20*z**3 - 104 - 5503*z**2 wrt z. 60*z**2 Let o(p) be the third derivative of -37*p**8/28 - 77*p**5/60 + 297*p**2. What is the third derivative of o(n) wrt n? -26640*n**2 Let p(f) = -392*f + 2. Let v(l) = 398*l - 2. Let r(d) = 6*p(d) + 5*v(d). Differentiate r(j) with respect to j. -362 What is the third derivative of 78*l**2 + 77*l**2 - 145*l**2 + 7*l**3 wrt l? 42 Let n be 23/1 - 2*(-3)/6. Find the third derivative of -21*g**2 + n*g**2 - 6 + 7*g - 7*g - 24*g**6 wrt g. -2880*g**3 Let c = -143 - -147. What is the first derivative of -21 - 50*u**c - 54 + 28 wrt u? -200*u**3 Let j(a) be the second derivative of -67*a**3/6 + 62*a**2 - 49*a. Differentiate j(b) wrt b. -67 Let f(s) be the second derivative of 3*s**5/5 + s**4/12 - 5*s**3/3 - 3*s**2/2 - s - 4. Find the second derivative of f(l) wrt l. 72*l + 2 Suppose -3*m = -8*m + 2*j + 45, 34 = 4*m - 2*j. Find the second derivative of -i + 23 + m*i**5 - 23 - i wrt i. 220*i**3 Let p(f) = -f**3 + 5*f**2 - 2*f + 4. Let x be (12/(-14))/((-6)/28). Let w be p(x). What is the second derivative of -4*a**2 - 5*a + 7*a**2 + 5*a**2 + w*a wrt a? 16 Suppose -3*i - 15 = -8*i. Let p(l) = -l - 5. Let y be p(-9). What is the second derivative of 16*u**4 - 7*u**y - 6*u**4 - i*u + u wrt u? 36*u**2 Let c(y) be the first derivative of -7*y**4/2 - 346*y + 172. Find the first derivative of c(m) wrt m. -42*m**2 Let j(s) be the third derivative of -3*s**9/56 + s**8/336 + 5*s**5/4 - s**2 + 42. What is the third derivative of j(y) wrt y? -3240*y**3 + 60*y**2 Let d(a) be the second derivative of 5*a**5/4 + a**3/3 - 88*a**2 + 6*a + 2. What is the derivative of d(q) wrt q? 75*q**2 + 2 Let f(h) = -h**4 + 34*h**2 + 182*h + 17. Let n(x) = -12*x**2 - 61*x - 6. Let z(s) = 6*f(s) + 17*n(s). What is the second derivative of z(v) wrt v? -72*v**2 Let s(h) be the third derivative of -h**7/105 + 4*h**6/5 - 103*h**3/2 + 298*h**2. What is the derivative of s(z) wrt z? -8*z**3 + 288*z**2 Let w(v) be the first derivative of -v**10/840 - v**6/180 + 3*v**3 + 12. Let h(b) be the third derivative of w(b). What is the third derivative of h(j) wrt j? -720*j**3 Let q be 26/10 - 6/10. Let w = q - -9. What is the derivative of 0 + 0*h**2 - 9 + 0*h**2 - w*h**3 wrt h? -33*h**2 What is the third derivative of 1351*m + 297*m**2 - 1351*m + 380*m**5 wrt m? 22800*m**2 Suppose 5*d - 5 = 2*m + 2, -2*d = -5*m + 14. Let s be -4 + d - 0 - -3. Differentiate -4*i - i - 1 - s with respect to i. -5 Let l(n) = 31*n + 8. Let m(o) = -32*o - 8. Let i(a) = 7*l(a) + 6*m(a). Differentiate i(w) wrt w. 25 Let f be ((-2)/6)/(12/(-36)). Let b be 15*1/3 - f. Find the second derivative of 71*l**b - 3*l**5 - 71*l**4 + 9*l wrt l. -60*l**3 Let v(z) be the third derivative of z**9/6720 - z**6/20 - 7*z**5/15 - 3*z**2. Let a(b) be the third derivative of v(b). What is the derivative of a(n) wrt n? 27*n**2 Let f(j) be the first derivative of j**7/42 + 16*j**3/3 + 33*j - 22. Let z(g) be the first derivative of f(g). What is the second derivative of z(l) wrt l? 20*l**3 Let v(p) be the third derivative of 0*p**4 + 5/2*p**3 - 7/60*p**5 + 23*p**2 + 0 + 0*p. Differentiate v(k) wrt k. -14*k Let q = 5 + -5. Suppose 5*g = 5*v - 335, -5*v + 2*g = -q*g - 329. What is the second derivative of -35*x - 33*x + v*x + 6*x**4 wrt x? 72*x**2 Let j(s) be the second derivative of s**6/10 + s**5 + 4*s**3/3 - 12*s + 4. Find the second derivative of j(g) wrt g. 36*g**2 + 120*g Let q(p) be the second derivative of 0 + 0*p**2 - 5/6*p**3 + 5/2*p**4 - 48*p. Find the second derivative of q(x) wrt x. 60 Suppose t - 5*t + 20 = 2*u, -3*u = 4*t - 40. Differentiate 5 - 9 + 2*i + u wrt i. 2 Let
{ "pile_set_name": "DM Mathematics" }
Solve -3*q - 3*q - 100 = -4*q - 8793*j + 8769*j, 0 = 2*q + 3*j - 8 for q. -2 Solve 59*i - 35 = g + 55*i, 608*i + 40 = -3*g + 607*i for g. -15 Solve 17 - 23 = -4*q + 4*u + 38, q + 5*u = -85 for q. -5 Solve -17*w - 24 + 7 = -15*w - 3*a - 2*a + 3, 0 = -2*a + 9*a - a for w. -10 Solve -3*a + a = 168*z - 136*z - 72, -55 = -3*a + 5*z for a. 20 Solve 2 = -8*v + 4*m + 6, -4*m - 34 = -28*v + 30 for v. 3 Solve 461*f - 458*f - 3*r - 4 + 10 = -4*r, 2*r = -5*f - 10 for f. -2 Solve -82 + 165 = 4*v + 5*w, -3*v - 51*w + 960 = 0 for v. -3 Solve 2482*z - 8*u + 33 = 2480*z - 3*u + 3, -2*z = 4*u - 42 for z. 5 Solve -3*v - 173 = -3*r - 185, -10*r - 45 = -8*v - 3 for r. -5 Solve -5*s - 25 = q + 4*q, -186*s - 9*q - 51 = -171*s for s. -1 Solve 4*q - 2*p - 2*p - 64 = 0, 4*q + 424*p = 419*p - 35 for q. 5 Solve 0*n - 25 + 4 - 4 = -6*n - n + 2*n, k - 1312*n = -6582 for k. -22 Solve -16*a - 186 = 10593759*q - 10593756*q, -5*q + a + 22 = 0 for q. 2 Solve 6*j - 12 = -5*g + 41, -3*j - 5*g - 4 = -45 - 18 for j. -2 Solve 283923*h + 88 = 283911*h + v, -3*h + 3*v - 132 = 0 for h. -4 Solve 95 = 5*r + 5*n, -124685793*n + 124685791*n + 28 = 4*r for r. -5 Solve 4 = -u - t, 2*u + 10203 = -3*t + 10195 for u. -4 Solve 6 = 2*g + 2*k, g + 104*k = 102*k + 2 for g. 4 Solve -a = -3777*p + 3773*p + 35, -4*p - 76 = 36*a for p. 8 Solve -56 = -3*x - j, -926*x - 4 = -923*x - 3*j - 40 for x. 17 Solve -30843 = 48*p + 2*w - 30025, -5*p - 4*w = 89 for p. -17 Solve -142086*j + 142090*j + 3*q = 19, 0 = 2*j - 2*q + 8 for j. 1 Solve -63*k = 5*l + 78, -4*l - 22 = 5*k - l - 8 for k. -1 Solve -3*h = -j + 53, 472*h - 4*j - 4*j = 476*h + 24 for h. -16 Solve -17*j + 12 = 4*m - 16*j, -m + 0*j + 19 = -2*j + 43 for m. 0 Solve 0 = -f - 3*m - 4, -10*f - 791*m + 22 = 796*m - 1588*m for f. 2 Solve 9*s + w = -1, -5*s - 6*w - 1 = -11*w + 5*w + w for s. 0 Solve 8*r - 70 = -5*k + 11*r - 2*r - 6*r, 4*r - 321 = 49*k for k. -5 Solve -855*r + 860*r - 2*h + 37 = 0, 0 = 2*r - 5*r + 164*h - 2627 for r. -1 Solve 4*p - 52 = -119*j + 143*j, -13 = 5*j - 3*p for j. -2 Solve -27*v - 546 + 506 = -4*o - 29*v, 5*o - 3*v - 28 = 0 for o. 8 Solve 0 = -14*l - b - 37, 5 = -5*l + 29078*b - 29080*b for l. -3 Solve -20*f = -7*f - 4*b + 216, 4*f + 386*b = 391*b - 74 for f. -16 Solve -168467*b = -4*f - 168465*b + 142, 175 = 5*f - 2*b for f. 33 Solve -4*g - 2*i = -66, g = -i + 267 - 250 for g. 16 Solve -48 = 12*a - 3*b, -232*b = -3*a - 230*b - 12 for a. -4 Solve c = -t - 15, 0 = -26*t + 5*c + 2353 - 2681 for t. -13 Solve 3*o - 5*d + 31 = 3*d - 5*d + 7*d, 12 = 3*d for o. 3 Solve 2*d - m = 2*m - 26, 8723*m = -3*d + 8730*m - 29 for d. -19 Solve 2*y = -8*g + 2, -3*y + 9*g - 1492 = -1516 for y. 5 Solve 14*r + 4*r + b = -232, 29*r - 61 = 34*r + b + b for r. -13 Solve -60*z - 420 = 5*g, -5*g - 23*z = -2*g + 26*z - 51*z - 14 for g. 0 Solve 0 = -39*g + 195, -3*v - 3*g + 0 + 2 + 11 = -2*v for v. -2 Solve 0 = 3*w - u - 15, -58 = 92515*w - 92535*w + 2*u for w. 2 Solve -222*x - 3*i + 365 = -188*x, -3*x + 5*i + 80 = 32 for x. 11 Solve -j + 37 = -2*j, 3*k - 5*j - 172 + 28 = 38 for k. -1 Solve -21 = -3*l, 24230*v - 24241*v = -4*l + 17 for v. 1 Solve 5*v + 5*i = -20, -22 = -3491152*v + 3491153*v - 5*i for v. -7 Solve -n + 8*v = 6*v - 15, 98*n + 2*n - 263 = 2*v + 643 for n. 9 Solve 16*q - 499 = -5*b, 72 = 151*q - 156*q - 2*b + 266 for q. 4 Solve -y = 4*d + 21, 93203*d - 4*y - 41 = 93207*d + y for d. -4 Solve -22*u - 12*u = -0*u - 3*a - 334, -5*a = -0*a - 10 for u. 10 Solve 655*z - 657*z + 3 = 2*l - l, -7*l - 4*z + 21 = 0 for l. 3 Solve -2*z = -9*z + 4*m + 29, 8*z + 7*z - 58 = 6*z + m for z. 7 Solve 72 = 73*v - 70*v + 9*z, -3*v + 52 = 5*z for v. 9 Solve -8*w + 35 = -5*u - 4*w, 12 = 2*u + 43*w - 42*w for u. 1 Solve 1572169*r = 5*z + 1572170*r - 42, -r + 2 = 0 for z. 8 Solve 0 = 5*r - 4*j + 32, -673 = 3*r + 2*j - 667 for r. -4 Solve x + 5*b + 150 = -0*x, -29 = -4*b - 77 - 72 for x. 0 Solve 3*h + 9 = 0, -41*c - 4*h - 40 = 18*c - 87 for c. 1 Solve -26 = 5*w - 7*w + o, 8*w - 46 - 96 = 5*o - 20 for w. 4 Solve 4*v - 100*z + 57 = -103*z, -39 = -7*v + 4*z for v. -3 Solve -81*o - 30 = -66*o + 5*y, -4*o - 5*y = 19 for o. -1 Solve -4*r - 5*f - 80 = 0, 64*r + 37*r + 6970 = -155*r - 22*r + 5*f for r. -25 Solve -x + 5*k + 41 = 0, 3*x - 1490*k - 59 = -1483*k for x. 1 Solve 2*v + 2*i - 62 = -80, 5*i = -16 - 29 for v. 0 Solve -2*z = -4*i - 10, 123*i - 2*z - 419 + 39 = -3*z for i. 3 Solve -56511199*i = -56511193*i - 5*u + 16, i - u = -2 for i. -6 Solve 3*s = -3*d - 10820 + 10874, 10 = 5*d + s for d. -2 Solve 737*d = -10*a + 740*d - 95, -171 = 16*a - d for a. -11 Solve 2*c + 334*a - 338*a = 4, -2*a + 22 = -4*c for c. -8 Solve 3*v - 76*o - 468 = 0, -43*v + 16 = -100*v + 55*v - 4*o for v. 4 Solve 3*j = -2*k + 113 - 25, 4*k - 54 + 8 = -j for j. 26 Solve 438 = 43*t + 30*t - 5*i, -i = 4*t - 24 for t. 6 Solve 0 = -163*a + 5*i - 133, 4*i - 4344 = -5*a - 4373 for a. -1 Solve 4*j = 113*q + 1824, 6*q + 43 + 17 = -5*j - q + 2*q for j. 4 Solve -7*j + 320 - 270 = -5*d - 2*j, 2*j = 9*d + 55 for d. -5 Solve -4*x + 16*d + 31 = -9*x, -36*x + 35*x - 3*d - 6 = 0 for x. -3 Solve -5*k + 2*w = -73, 4*k - 972*w = -975*w + 40 for k. 13 Solve 16 = 4*d + 1079*n - 1077*n, -23 = d + 14*n for d. 5 Solve 3*g - 39 = 76*c - 80*c, c + 316768*g - 5 = 316772*g for c. 9 Solve 5*p + 5*o - 10 = 0, -3*p - 154*o + 295*o + 5 = 143*o for p. 1 Solve 0 = -5*c + 5*w - 272 + 62, -40978*w = 9*c - 40975*w + 402 for c. -44 Solve 0 = -3*p - p - 0*y - 7*y - 13, -2 = 2*p - 5417*y + 5419*y for p. 2 Solve -2*n + 5554*t - 5557*t + 65 = 0, n - 26 = 5*t for n. 31 Solve 0 - 23 = -v - 5*q, 268 - 97 + 84 = 19*v + 4*q for v. 13 Solve 4*h + 4*b = 72, -414*h + 46 = -413*h + 3*b for h. 4 Solve -20136530 = 8*a + 3*d - 20136615, 2*d - 59 = -3*a for a. -1 Solve -1104*c - 80 = -9*x + 4*x - 1106*c, -c - 1024 = -64*x for x. 16 Solve -5*k + 11*h + 767 = 193 + 429, 3*k + 5*h = 29 for k. 18 Solve 294 + 284 = -5*x + 593, 0 = -2*f + 5*x + 1 for f. 8 Solve -4*v - 96 = -4*u, -281 = 257*v - 248*v + 4*u for v. -29 Solve 38 = 3*p - 5*h - 109, p - 282 + 197 = -12*h + 15*h for p. 4 Solve -2672*s + 2637*s + 5*d - 55 = 0, -2*s - 2*d = -6 for s. -1 Solve u - v = -13, -4*v + 13 = -16043*u + 16042*u for u. -13 Solve 120 = v + 7*r + 130, -43 = -5*v - 3*r - r for v. 11 Solve -34870*t + 34869*t - 1 = h + 4 + 2, 9*t - 4*h + 11 = 0 for t. -3 Solve -5*o + 9*o - 9*d + 3*d = -3*o + 18 - 7, 5*d = -15 for o. -1 Solve 0*v - 538 = -z + 5*v - 721, 12*z + 161 = 5*v for z. 2 Solve l = -49*i + 295, 3*l - 54*i - 27 = -58*i for l. 1 Solve 0 = -x - 5*h - 41, -11666*x + 7*h = -11667*x + 4*h - 23 for x. 4 Solve -290*s - 920 = -5*i, -205*s - 15 = -200*s for i. 10 Solve -2*v = 4*n + 18, 948*n + 734 = 951*n - 56*v for n. 2 Solve 111245*q = 111249*q + 2*x - 4, x + 1 = -5*q for q. -1 Solve 3*v + 68 = 77, 6*p - 2*v - 82 = -2*p for p. 11 Solve -4*v + 2909 = -f + 2960, f - 78 = 3*v - 39 for v. -12 Solve -52753*l + 52748*l = -29*c - 24, 3*l = 10*c + 7 for c. -1 Solve 4*h + q = 25, -169*q + 173*q - 994 = -165*h for h. 6 Solve -45*s + 280 = 129636*z - 129631*z, -4*s - 35 = -5*z for s. 5 Solve -65 - 50 = 4*i - 2*v + 55, i = 6*v - 70 for i. -40 Solve 3*p + 206 = -5*o, -2*p - 3*o - 3052 = -2928 for p. -2 Solve -10*v - 13*v + 6*x + 16 = -21*v + 2*x, 15*x = -39*v + 498 for v. 12 Solve -q - y - 917 = -932, 2*q - 7*q = y - 95 for q. 20 Solve y = -5*g + 8 - 13 + 8 - 25, -50 = g - 15*y for g. -5 Solve 24*b = -72, -14579*b + 48 = -9*g - 14574*b for g. -7 Solve 2*y + 2220*o = 2225*o - 116, 2*o + 40 = -y for y. -48 Solve 3*i + 19 = 2*x, 4*i + 924*x = 923*x - 18 for i. -5 Solve 2*m = 5*c - 22, -4415*m - 4*c = -4420*m - 89 for m. -21 Solve 0 = -5*y + 10*h + 5*h - 125, -12*y - 4*h = 11*y - 27*y - 44 for y. -4 Solve -3*b = -5*q + 94 - 18, -192*b = -196*b + 23*q - 85 for b. -27 Solve 0 = -4*p + 3*u - 16, 18*u + 6*u = 2*p - 15*u + 38*u + 8 for p. -4 Solve -1 = -w - 3*i, 12 + 7 - 119 = w - 2*i - 44*i + 46 for w. -8 Solve -27*y + 21*w + 525 = -13*y - 17*y, 2*y = -0*y - 2*w - 50 for y. 0 Solve -51*i + 35*i + 76 = 5*d - 19*i, 3*d - 5*i = 52 for d. 14 Solve 11*w = 253, -125*y + 230*y + 4*w - 72 = 109*y for y. 5 Solve 3*p = 4*j + 3957 - 3932, j - 8*p + 1 - 2 = 0 for j. -7 Solve 92380*x + 12 = -3*l + 92377*x, 2*x - 16 = l for l. -8 Solve -4*j = -5*p + 111, 279*p = 576*p - 293*p - 2*j - 90 for p. 23 Solve v - 382 = 65*i +
{ "pile_set_name": "DM Mathematics" }
of x(o) wrt o. -216*o Let u(t) = t + 10. Let f be u(-6). Suppose -5*o - n + 6 = -9, -4*n = 20. Differentiate 2*g**4 + 2*g**f - g**o - 1 wrt g. 12*g**3 What is the second derivative of 14*t - 23*t**5 + 38*t**5 - 21*t**5 wrt t? -120*t**3 Let y(t) = -3*t + 1. Let f be y(-1). Find the second derivative of -a**4 - 2*a + 4*a + a - a**f wrt a. -24*a**2 Let z(f) = -9*f**4 - 6*f**3 + 6*f**2 - 1. Let q(c) = -c**4 - c**3 + c**2. Let h = 3 - -3. Let j(b) = h*q(b) - z(b). Differentiate j(g) with respect to g. 12*g**3 Let g = -15 - -21. Suppose 5*h = 16 - 1. Find the second derivative of -h*w**3 + 6*w**2 + 6*w - 2*w - g*w**2 wrt w. -18*w Let s(h) be the second derivative of h**6/3 + h**2 - 9*h. Find the first derivative of s(d) wrt d. 40*d**3 Let v(h) be the first derivative of 25*h**7/7 + 5*h**3 + 2. Find the third derivative of v(g) wrt g. 3000*g**3 Let m(c) be the third derivative of 2*c**9/63 - c**5/15 - 7*c**2. What is the third derivative of m(h) wrt h? 1920*h**3 Let m(v) be the third derivative of v**6/10 - v**5/30 - 7*v**2. What is the third derivative of m(z) wrt z? 72 Let k(s) be the first derivative of -s**4/3 - 3*s**2/2 - 4*s + 1. Let l(g) be the first derivative of k(g). What is the first derivative of l(u) wrt u? -8*u Let q(z) be the third derivative of z**7/840 - z**5/60 + z**4/12 - 3*z**2. Let m(l) be the second derivative of q(l). Differentiate m(t) wrt t. 6*t What is the second derivative of 9*f**4 + 12*f - 4*f - 3*f + 4*f**4 wrt f? 156*f**2 Let s(i) be the second derivative of -2*i**5/5 + 8*i**4/3 + 9*i. Find the third derivative of s(v) wrt v. -48 Let s(r) = -42*r**2 + 93*r - 7. Let m(x) = -14*x**2 + 31*x - 2. Let k(b) = 7*m(b) - 2*s(b). What is the second derivative of k(y) wrt y? -28 Let l(a) be the second derivative of -7*a**5/5 + 37*a**3/6 - 8*a. What is the second derivative of l(t) wrt t? -168*t Let s(a) = 8 + a + 2*a**3 - 3*a**3 + a**2 - 3. Let u be s(0). What is the second derivative of -u*x**2 + 3*x**2 + x + x**2 wrt x? -2 Let i(n) be the first derivative of 12*n**5/5 + n**3 - 21*n**2/2 - 50. Find the second derivative of i(z) wrt z. 144*z**2 + 6 Let t(l) = l**2 - 2*l - 5. Let x be t(4). Suppose 0 = -2*o + x*u + 13, 0*o - 10 = o + 4*u. Find the second derivative of 0*v - o*v + 3*v**5 - v**5 wrt v. 40*v**3 Let l(k) be the third derivative of -2*k**5/15 - 5*k**3/6 - 3*k**2. Differentiate l(f) wrt f. -16*f Let q(i) be the third derivative of 0*i - 1/40*i**6 + 0*i**3 + 3*i**2 + 0*i**5 + 0 - 1/24*i**4. Find the second derivative of q(c) wrt c. -18*c Let n(g) be the first derivative of -3*g**5/5 + 3*g**4/2 - 18*g**3 + 12. Find the third derivative of n(x) wrt x. -72*x + 36 Let k(u) = 39*u**2 - 18*u + 81. Let t(x) = -11*x**2 + 5*x - 23. Let r(l) = 5*k(l) + 18*t(l). Find the first derivative of r(j) wrt j. -6*j Let c(k) be the third derivative of -13*k**7/210 - k**3/3 - 8*k**2. What is the derivative of c(q) wrt q? -52*q**3 Let t be 1*(-15)/(-6)*2. Suppose 40 = t*u - 4*y, -3*y = y + 20. Differentiate 3*j**2 - 5 + 4 + 0 + u with respect to j. 6*j Let t(o) = -o**2 - o. Let h(s) be the third derivative of -s**5/30 - s**4/4 - 2*s**3/3 - 3*s**2. Let i(z) = h(z) - 6*t(z). Differentiate i(d) with respect to d. 8*d Let a(s) be the second derivative of -3*s + 0 - 5/6*s**3 + 1/2*s**2. Differentiate a(d) wrt d. -5 Differentiate -10 - 5*a + 5*a - 8*a**2 + 1 wrt a. -16*a Let a(w) be the first derivative of -35*w**6/6 + 12*w**3 + 39. Find the third derivative of a(z) wrt z. -2100*z**2 Let v be (13 + -1)*(-4)/(-2). Suppose 2*r - v = -3*z, z + 0*r = -4*r + 8. What is the second derivative of -8 + z + 2*d**2 + d wrt d? 4 Let f(l) be the second derivative of l**7/21 - 13*l**3/6 - 18*l. Find the second derivative of f(s) wrt s. 40*s**3 Let l = 0 - -2. Suppose 0 = -2*d + l*s, 2*s = 4*d + 6*s. Find the third derivative of d*c**5 + 4*c**5 - 3*c**2 - c**5 + c**2 wrt c. 180*c**2 What is the third derivative of 3*g - 10*g**2 - 3*g - 6*g**3 - 4*g**3 wrt g? -60 Suppose 2*c - 8 = y, 7*c + 4*y - 16 = 3*c. What is the second derivative of -3*a**2 + c*a**2 + a + a**2 wrt a? 4 Let x(l) = l**3 - 11*l**2 - 13*l - 11. Let r(k) = k**2 + k + 1. Let h(p) = -22*r(p) - 2*x(p). What is the second derivative of h(o) wrt o? -12*o What is the second derivative of -35*m**2 - 34*m + 6*m + 16*m**2 wrt m? -38 Find the second derivative of -4*k + 6*k**4 + 5*k + 6*k wrt k. 72*k**2 Suppose -3*w - 4*o + 97 = 0, 4*w - 92 = -0*o + 4*o. Find the second derivative of -w + 27 - 4*i - 6*i**4 - i wrt i. -72*i**2 Let v(f) be the second derivative of -17*f**7/42 + 17*f**3/3 - 6*f. Find the second derivative of v(b) wrt b. -340*b**3 Let b(s) be the first derivative of s**7/210 + s**5/30 + 5*s**2/2 - 2. Let t(p) be the second derivative of b(p). Find the third derivative of t(w) wrt w. 24*w Let r(x) be the second derivative of x**4/3 - 13*x**2/2 - 3*x. What is the derivative of r(q) wrt q? 8*q Let t = -43 - -62. What is the second derivative of 13*y - t*y - 2*y**2 + 9*y**2 - y**2 wrt y? 12 Suppose 11 + 19 = 5*r. Let c(l) = l**3 - 6*l**2 + 2. Let u be c(r). What is the first derivative of u*q + 1 + 0*q + 0*q wrt q? 2 Let t(y) = -10*y**3 - 2*y**2 - 5*y - 2. Let o(d) = 11*d**3 + 3*d**2 + 5*d + 3. Let j(u) = 2*o(u) + 3*t(u). What is the second derivative of j(x) wrt x? -48*x Differentiate 4*q**3 + 6 + 5*q**3 + 1 with respect to q. 27*q**2 Let r(k) = -k**3 - 3*k**2 - k + 2. Let f be r(-3). Let l = 3 - -1. What is the third derivative of -f*h**6 + 4*h**6 - 3*h**4 + h**2 + 3*h**l wrt h? -120*h**3 Let w be 0 + 2 + 22/(-2). Let v = -5 - w. Find the third derivative of -2*r**v + r**4 + r**2 + 0*r**4 wrt r. -24*r Let d be (-4)/(-6) - 28/6. Let g = d - -7. What is the first derivative of 1 - 1 + 0 + g*q**2 + 2 wrt q? 6*q Let x(v) = 15*v**2 + 6. Let o(a) = -a**2 - 1. Let m(h) = 4*o(h) + x(h). What is the first derivative of m(n) wrt n? 22*n Let g(r) be the third derivative of 0 + 0*r**4 + 0*r**3 + 0*r - 4*r**2 + 1/30*r**5 - 1/120*r**6. What is the third derivative of g(k) wrt k? -6 Let h(r) be the second derivative of -15*r**7/14 + 7*r**4/3 - 48*r. What is the third derivative of h(a) wrt a? -2700*a**2 Suppose 2*n - 2 = -4. Let b(x) = -2*x + 1. Let t be b(n). What is the derivative of -2*i**3 + 3*i**t - 2 + i**3 wrt i? 6*i**2 Find the second derivative of -8*t**4 - 13*t - 2*t + 0*t**4 wrt t. -96*t**2 Let h(d) = 2*d**2 + 6*d - 5. Suppose -34 + 10 = -4*x. Let p(g) = -g**2 - 7*g + 5. Let o(j) = x*p(j) + 7*h(j). Differentiate o(q) wrt q. 16*q Find the third derivative of -c**3 - 25*c**4 + 26*c**2 + 0*c**4 - 4*c**2 wrt c. -600*c - 6 What is the second derivative of -1 + 1 + 0*w - 3*w**3 - 2*w wrt w? -18*w Let i(q) = -9*q**3 - 36*q**2 - 36*q - 9. Let z(g) = g**2 + g. Let n(c) = -i(c) - 36*z(c). Differentiate n(u) with respect to u. 27*u**2 Suppose -2*y = -7*y. Let i(q) be the first derivative of -2*q + 1 + 1/3*q**3 + y*q**2. Find the first derivative of i(o) wrt o. 2*o Let f(r) = r. Let a be f(-8). Let y = a + 13. What is the second derivative of u + 11*u**y - 9*u**5 + u wrt u? 40*u**3 Let d be (-47 + -3)*(-1)/2. Suppose -k - 4*k = -d. What is the third derivative of -k*o**4 - o**2 + 6*o**4 + o**4 wrt o? 48*o Let l be (-4 - -4) + 1 + 4. Suppose o - l*f + 6 = 0, 0 = -3*o + 5*f - 3*f + 8. Find the third derivative of -4*h**4 - 11*h**6 + 3*h**2 + o*h**4 + 8*h**6 wrt h. -360*h**3 Let j(h) be the third derivative of 11*h**7/210 + 11*h**5/60 + 8*h**2. Find the third derivative of j(y) wrt y. 264*y Let q(z) be the first derivative of 3*z**7/7 - 28*z**3/3 - 1. Find the third derivative of q(p) wrt p. 360*p**3 Let z be (-3)/9 + 7/3. What is the third derivative of -2*h**z + 0*h**2 - 2*h**4 + 3*h**4 wrt h? 24*h Let x(b) = -b**4 + 7*b**3 + 7*b**2 + 7*b + 7. Let r(z) = 3*z**3 + 3*z**2 + 4*z + 3. Let k(t) = -7*r(t) + 3*x(t). Find the second derivative of k(d) wrt d. -36*d**2 Let m(d) = 5*d**4 + 2*d**3 - 3*d**2 - 2. Let f(t) = 19*t**4 + 9*t**3 - 13*t**2 - 9. Let a(u) = -2*f(u) + 9*m(u). What is the third derivative of a(h) wrt h? 168*h Find the second derivative of -3*j**2 - 3*j**2 - 9*j + 4*j**2 - 3*j wrt j. -4 Let n be 6*((-3)/(-3) - 0). Let s = -4 + n. Find the second derivative of -5*x + 5*x - s*x - x**3 wrt x. -6*x Let y = -4 - -4. Let r be -2 + (-2 - (y + -10)). Find the third derivative of 3*h**3 - r*h**3 + 4*h**3 + 2
{ "pile_set_name": "DM Mathematics" }
eplacement from uuesfqjjsesusf. 1/91 Calculate prob of sequence xg when two letters picked without replacement from {n: 2, g: 2, v: 2, z: 10, x: 3}. 1/57 Calculate prob of sequence xaqx when four letters picked without replacement from qxxxqkxxqxqqaxqqj. 7/1360 Four letters picked without replacement from wpbpbobppo. What is prob of sequence bbob? 1/420 Two letters picked without replacement from {f: 8, z: 7, q: 5}. What is prob of sequence zf? 14/95 Calculate prob of sequence ggn when three letters picked without replacement from {n: 2, g: 16}. 5/51 Calculate prob of sequence tbb when three letters picked without replacement from {b: 1, e: 2, t: 1, x: 3}. 0 Four letters picked without replacement from oplomhhoholphbm. Give prob of sequence lphh. 2/1365 Four letters picked without replacement from iiiiiiigggiiiiiiigi. Give prob of sequence gggi. 5/1292 Two letters picked without replacement from xlxlfixoaxlo. Give prob of sequence xx. 1/11 What is prob of sequence fw when two letters picked without replacement from {f: 3, w: 11}? 33/182 Three letters picked without replacement from wwhuwhuwwwbb. Give prob of sequence uwu. 1/110 What is prob of sequence rj when two letters picked without replacement from rrrrrrrrrrrjrrr? 1/15 What is prob of sequence hyy when three letters picked without replacement from {y: 2, o: 3, x: 2, h: 2, e: 4, v: 3}? 1/840 Calculate prob of sequence drg when three letters picked without replacement from {n: 4, r: 12, g: 3, d: 1}. 1/190 Three letters picked without replacement from {c: 4, b: 7, x: 1, l: 2}. What is prob of sequence lxc? 1/273 Calculate prob of sequence tm when two letters picked without replacement from {m: 5, t: 7, y: 4}. 7/48 Three letters picked without replacement from {x: 2, e: 9, i: 7, f: 1}. Give prob of sequence xxf. 1/2907 Three letters picked without replacement from psptsssptpppt. What is prob of sequence tts? 2/143 Two letters picked without replacement from utthhlev. What is prob of sequence tt? 1/28 What is prob of sequence do when two letters picked without replacement from doddoo? 3/10 Two letters picked without replacement from {k: 3, e: 1, x: 2, w: 6}. Give prob of sequence xk. 1/22 Four letters picked without replacement from {u: 3, p: 7, z: 3, r: 2}. What is prob of sequence rzrz? 1/2730 Two letters picked without replacement from {x: 1, u: 3}. What is prob of sequence ux? 1/4 Calculate prob of sequence rr when two letters picked without replacement from lylrcyycrclrrrclcfl. 10/171 Calculate prob of sequence xx when two letters picked without replacement from xvxvtxxivxtsvxxv. 7/40 What is prob of sequence hhh when three letters picked without replacement from ihihiihhii? 1/30 What is prob of sequence bbbb when four letters picked without replacement from {b: 5, f: 3, o: 3}? 1/66 Two letters picked without replacement from dcddaaaddcaaddcac. Give prob of sequence dd. 21/136 What is prob of sequence tdt when three letters picked without replacement from {q: 1, d: 12, t: 7}? 7/95 Calculate prob of sequence yxyv when four letters picked without replacement from xvxvayxyxyxxvyyyyaa. 21/2584 Calculate prob of sequence iww when three letters picked without replacement from {w: 7, i: 2}. 1/6 Calculate prob of sequence duud when four letters picked without replacement from duuzd. 1/30 What is prob of sequence mp when two letters picked without replacement from {p: 1, q: 2, m: 1, c: 3}? 1/42 What is prob of sequence qq when two letters picked without replacement from mqquqouquuq? 2/11 Calculate prob of sequence sjj when three letters picked without replacement from {j: 2, b: 10, s: 1, k: 4}. 1/2040 Two letters picked without replacement from pyvypyvy. What is prob of sequence yv? 1/7 Three letters picked without replacement from {i: 4}. What is prob of sequence iii? 1 What is prob of sequence kmb when three letters picked without replacement from {k: 1, w: 2, d: 2, m: 1, b: 2, x: 1}? 1/252 Four letters picked without replacement from {c: 5}. Give prob of sequence cccc. 1 Four letters picked without replacement from hcads. What is prob of sequence dahc? 1/120 What is prob of sequence johv when four letters picked without replacement from jvohhhhohoohh? 7/4290 What is prob of sequence ebxd when four letters picked without replacement from xdbdxie? 1/210 Three letters picked without replacement from yyyttt. Give prob of sequence tyt. 3/20 Four letters picked without replacement from rqaqrowwaarrrorrrqqq. Give prob of sequence rooa. 2/4845 Calculate prob of sequence to when two letters picked without replacement from tto. 1/3 Calculate prob of sequence xixx when four letters picked without replacement from xixix. 1/10 Calculate prob of sequence qh when two letters picked without replacement from uqhuqgq. 1/14 Three letters picked without replacement from weeeeeweeweeew. Give prob of sequence wee. 15/91 Two letters picked without replacement from mooxmv. What is prob of sequence ov? 1/15 Calculate prob of sequence ww when two letters picked without replacement from wbbwbw. 1/5 Two letters picked without replacement from sghdsgllpsg. What is prob of sequence pg? 3/110 What is prob of sequence fiir when four letters picked without replacement from {i: 5, l: 1, f: 6, r: 3}? 1/91 Two letters picked without replacement from fkannbn. What is prob of sequence ba? 1/42 Three letters picked without replacement from hppqpopqpxhoppw. Give prob of sequence qpo. 2/195 Four letters picked without replacement from jskjkslslksskkl. What is prob of sequence kkjj? 1/819 Calculate prob of sequence ctc when three letters picked without replacement from tctccccmttcccc. 12/91 Calculate prob of sequence rrvw when four letters picked without replacement from {v: 3, w: 1, a: 3, r: 3}. 1/280 What is prob of sequence mib when three letters picked without replacement from tmsitabb? 1/168 What is prob of sequence sii when three letters picked without replacement from {s: 10, i: 2}? 1/66 What is prob of sequence ids when three letters picked without replacement from {b: 1, i: 3, o: 3, m: 4, d: 1, s: 6}? 1/272 Three letters picked without replacement from pkkppppkpepkkkpmmkp. Give prob of sequence pkk. 21/323 Calculate prob of sequence fzd when three letters picked without replacement from {z: 3, f: 1, d: 3, b: 3}. 1/80 What is prob of sequence obuo when four letters picked without replacement from {o: 9, t: 3, u: 1, b: 1, p: 4}? 1/1020 Calculate prob of sequence zzf when three letters picked without replacement from {z: 3, f: 9}. 9/220 Calculate prob of sequence snsq when four letters picked without replacement from {i: 1, s: 5, q: 2, h: 1, n: 1}. 1/126 Calculate prob of sequence sse when three letters picked without replacement from {s: 2, x: 2, c: 2, e: 13, q: 1}. 13/3420 Three letters picked without replacement from cccxxcccxc. What is prob of sequence xxx? 1/120 What is prob of sequence pppw when four letters picked without replacement from {w: 5, p: 4, l: 3}? 1/99 Two letters picked without replacement from aajrraaparrvpv. Give prob of sequence rj. 2/91 What is prob of sequence zzhh when four letters picked without replacement from hchctzztt? 1/756 What is prob of sequence isgq when four letters picked without replacement from {s: 3, p: 2, g: 4, q: 3, i: 7}? 7/2584 Two letters picked without replacement from ukzut. Give prob of sequence kz. 1/20 Calculate prob of sequence yaq when three letters picked without replacement from qgqaqqyqgyq. 2/165 Two letters picked without replacement from nhitttnndhddi. Give prob of sequence in. 1/26 Calculate prob of sequence pr when two letters picked without replacement from qrgssdpr. 1/28 What is prob of sequence ky when two letters picked without replacement from udddyykdydydyukywu? 2/51 Four letters picked without replacement from jjjmvdm. Give prob of sequence dvvv. 0 What is prob of sequence uudd when four letters picked without replacement from uuuudzzmuduu? 7/990 Calculate prob of sequence iy when two letters picked without replacement from udydiiey. 1/14 Two letters picked without replacement from pyvrwpbr. Give prob of sequence yv. 1/56 Calculate prob of sequence jw when two letters picked without replacement from {j: 3, w: 17}. 51/380 Two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
uppose 0 = -y - 3*k + 459, k - 2350 = -5*y - 3*k. Let t be v/(-3) - y/(-369). Is t less than 0? True Let w = -5823 + 5629. Is w greater than or equal to -194? True Let z = -429.89 - -464. Let r = z - 3.11. Is -3 bigger than r? False Let o = 95 + -95. Let g(d) = d**2 - d - 3. Let f be g(3). Let r be -2 - (f + -4 - o). Is -6 >= r? False Let z(a) = -a + 16 + 5*a - 6*a - 4*a. Let v be z(26). Is v at most -139? True Let c = -8914 - -285277/32. Which is smaller: c or 2? c Let m(d) = d**2 + 562*d - 6309. Let w be m(11). Let k = 259/6 + -43. Is k at most w? False Let t be 6/20 - 305109/(-870). Is 353 smaller than t? False Let t be 9/4 - (-6)/(-3). Let d = 4.192 + 0.938. Let x = d - 6.13. Is x greater than or equal to t? False Let p = 0.43 - 85.43. Let k = 84.92 + p. Which is smaller: -7/3 or k? -7/3 Suppose 4*b = -24 - 12. Let y be (-27)/(-44) - b/(-12). Let z = -7/11 - y. Which is greater: z or 0.2? 0.2 Let i(l) = 3*l**3 - 15*l**2 + 34*l - 4. Let c = 75 - 72. Let z be i(c). Which is greater: 46 or z? 46 Let n be 0 + 4 + (-517)/1. Let y = 6662/13 + n. Suppose -2*a = 6*o - 3*o + 10, 3*a + 2*o + 10 = 0. Which is greater: y or a? y Suppose 2*r + 28 = 12. Let g(s) = s**3 + 6*s**2 - 4. Let n be g(-6). Let a = n - r. Which is smaller: a or 0? 0 Let b = -5.12 + 5.32. Is -2917 != b? True Suppose 0 = -10*b + 681 - 181. Suppose -10*x + 15*x = b. Suppose -17*g = -x*g + 63. Do -9 and g have different values? False Let y = 1/13346 + 26673/253574. Which is greater: 2203 or y? 2203 Let l be 76/57*3/(-4). Let t be 2*l - (-54 - (-120)/15). Are t and 44 equal? True Suppose 1483*f = 1440*f - 578522. Which is smaller: f or -13453? f Let k = 3190 - 3189. Is 84/95 greater than k? False Let q = -7775/7 - -1105. Which is smaller: q or 1? q Let w be (28/(-70))/(1 + (-11)/10). Suppose -13 + 33 = w*y. Let x(d) = d**2 - 1. Let p be x(-3). Is y at most p? True Let q be (-6)/(-9)*((-2159)/(-6) + (-96)/72). Which is bigger: q or -3? q Let c be ((-11)/2 - -6)*-12. Let w be ((-1888)/314 - c)/(0 - -1). Is w > 0? False Let l be 124 - (18/(-14) - (-6 + (-40)/(-7))). Suppose 521 = 3*i - 2*p, -4*p - 14 = 2. Let q = l - i. Which is smaller: -1 or q? q Let p be -29 + 32 - (-43)/(-13)*3. Suppose -3*t - z + 3 = 25, 0 = -4*t + 5*z - 4. Is t at most p? False Let o = 252945 - 252922. Let j = -11 + 42. Which is smaller: j or o? o Let c be ((-2)/(-4)*-2)/((42/(-14))/(-720)). Is c equal to -250? False Let x be -9 - (1040/(-4))/26. Let j be 8/9*(-21)/(-4228). Do x and j have the same value? False Suppose v + 37822 - 535768 = 0. Let p = 103573357/208 - v. Let q = p + -36/13. Do q and -1 have different values? True Let p = 304.879 - 304.2. Which is smaller: p or -3? -3 Suppose -3 = -m, 0*r = -r - 3*m + 6. Let j(q) = q**3 - 7*q**2 - 4*q + 59. Let x be j(6). Which is smaller: r or x? r Let j = -0.375 - -0.456. Let h = -0.081 + j. Let q = 0.4 - 0.39. Which is bigger: h or q? q Let x = -6280 - 13682. Which is greater: -19961 or x? -19961 Let t(b) = b**3 - 12*b**2 + 5*b + 74. Let m be t(11). Let j(o) = o**3 - 7*o**2 + 5*o - 13. Let v be j(m). Which is smaller: v or 92? v Let g = -5 + 7. Suppose 427 = 4*v - 27*f + 24*f, 2*f + 93 = v. Do v and g have different values? True Suppose -71 + 42 = -166*i - 527. Are 1 and i equal? False Let h = -57 + 59. Suppose -t + 3*q = 3*t - 143, -4*q - 74 = -h*t. Suppose -t*z = -36*z. Which is smaller: 4 or z? z Let u be 2/(-4)*16/(-199800)*-30. Is u < -1? False Suppose 17*o = -34*o - 5253. Are -109 and o equal? False Let z = 1 - 1. Suppose -17*m - 99 = -28*m. Suppose 5*v - m*v = -12. Which is smaller: z or v? z Let c be 9/(-7) + (-50)/(-175). Let j be 46/5 - 6/(-30)*c. Which is bigger: j or -2/5? j Suppose -6 - 5 = -4*h + f, 2*h - 3*f = 13. Suppose 2*k - h = -10. Let x be (-3)/72*k*(-3 + 0). Is 4/13 bigger than x? True Let p be 2457/546 - 551/(-2). Is p equal to 296? False Suppose 0 = 105*w + 1155 + 1260. Is w equal to 1? False Let i be ((-10)/3)/(18/(-81)). Let m(o) = -10*o + 239. Let z be m(i). Is z at most as big as -3? False Let t be (64/12)/(4/6). Let g be (t - 10) + (2 - -1). Suppose g + 0 = -f. Which is smaller: f or 3/13? f Suppose -3*l = 3*y - 151 - 5, 2*l - 5*y = 139. Let a be 12/(-16) - l/(-12). Which is bigger: a or 64? 64 Let l be (-4)/(-2)*(5 - 25/10). Suppose 0 = 5*o + 2*b - 18, -5*o - 3*b + l*b + 2 = 0. Suppose -13*h - o = -11*h. Do h and -1/9 have the same value? False Let h(m) = 840*m + 8435. Let k be h(-10). Are 1076/31 and k nonequal? True Let m(n) = n**2 + 43*n - 816. Let d be m(14). Suppose -w + 5*r = 0, 5*w + 3*r + 12 = -100. Which is smaller: w or d? w Let x(v) = v**3 + 95*v**2 - 1934*v - 153. Let r be x(-112). Is r at most 3207? True Let s(k) = k**3 - 97*k**2 + 1645*k + 134. Let l be s(75). Which is greater: -211 or l? -211 Let w = 1442.95362 + 0.04638. Which is greater: w or -0.4? w Suppose 10*y - 84 = 31*y. Let s be (-1544)/(-590) + 8 + -10. Let o = s - 1/59. Is y bigger than o? False Let o = 11172 + -11160. Which is smaller: 188 or o? o Suppose 245*g = 222*g. Is 10/337 less than or equal to g? False Suppose -16*g - 37 = 27. Let u be (-20)/(-30)*66/g. Which is greater: -17 or u? u Let p = -218 - -220. Suppose 0 = -20*l + 22*l - 2. Which is greater: p or l? p Let h(k) = -2*k**2 - 5*k + 10. Let t be h(5). Let q be (-1)/((t/120)/13). Is q < -1? False Suppose 2*c - 2*h = 352, 5*h = 3*c - 155 - 377. Let s = -633 + 807. Is s greater than c? False Let b = -105 - -124. Suppose 2*h + 3*d = -2*h - b, 2*h - 18 = 4*d. Let z be (-9)/51*1/(-3). Is h >= z? False Let u(t) be the third derivative of -t**4/12 - 11*t**3/3 + 8*t**2. Let n be u(-16). Suppose 0 = -331*g + 324*g + 70. Is n at least as big as g? True Suppose 2*y = -3*j, 3*y + 3*j = 8*y. Suppose -4*s + 9*s - 15 = y. Suppose 4*d + s*m + 204 = 0, -d = -3*d - 5*m - 88. Which is bigger: -53 or d? -53 Let a = -0.06 + 5.46. Let c = a - 5.15. Let f = c - 0.35. Which is greater: 5 or f? 5 Let c(b) = -7*b - 761. Let p be c(20). Are -903 and p nonequal? True Let n = 11469 + -10646. Which is bigger: 2 or n? n Let v be 745/(-5) + 0/3. Let w = 36 + v. Are -112 and w non-equal? True Suppose -5*o - g + 850 = 4*g, 5*g + 725 = 4*o. Are o and 173 unequal? True Let g be (3 - 4135)*(-60)/160. Is 1550 < g? False Let i be (1200/(-125))/(-12) + 2/(-5). Is -5854 > i? False Let x = 6 - 6. Let y = 84088 + -2438562/29. Are y and x unequal? True Let n = -44 - -48. Suppose -5*w - 15 = -n*w. Let l be (2 + (-2)/5)/(2/(-20)). Are l and w non-equal? True Let y = 362 - 370. Let n be 24/9*y/288. Is n not equal to 1? True Let l be 18/(-117) + (-159867)/975. Let r = l + 164. Is 1 not equal to r? True Suppose -12*i + 32887 - 2506 = 29*i. Which is greater: i or 738? i Suppose 0 = -0*r + 5*r. Let b = -0.522824 + -50.670876. Let v = 0.1937 + b. Are v and r unequal? True Let o(d) = d + 7. Let p be o(-7). Suppose -3*s + 245 = v, p*v - 3*s + 496 = 2*v. Let r = v + -173. Is 79 at most as big as r? False Let t(x) = -x + 0*x + 16 - x**2 + 5*x. Let v be (-21)/4*16/(-12). Let u be t(v). Is 2 at least u? True Suppose -18*r + 137 - 65 = 0. Which is greater: r or 8? 8 Let s = -586549/50 + 11731. Let t(u) = u**3 + 15*u**2 + u + 16. Let f be t(-15). Which is greater: f or s? f Let n be -5 + 2 + (20/5 - 5). Let g be (2 + (n - 140/(-75)))*5. Is 14/5 not equal to g? True Let p(j) = 2*j + 5. Let k be p(0). Suppose -5*l + k*r = 17 + 3, 4*l - 9 = -r. Which is smaller: -3/31 or l? -3/31 Let s = 0.594 - -1.586. Let v = s + 3.82. Is -0.6 greater than or equal to v? False Let p = -432494/5 + 86799. Let n = 3537/10 - p. Does n = 55? False Suppose -2*y = 10, -10*d - 5*y = -8*d - 93. Is 67 != d? True Let g = 0.141 + 563.859. Let w = 373 - g. Which is smaller: 0 or w? w Let h = 1.95 - 0.25. Let j be 380/(-855)*3/4 + (-7)/15. Which is bigger: h or j? h Let y(c) = -2*c**2 + 41*c + 10. Let f be y(10). Let g be (-1)/(-2)*f/(-187). Is 0 >= g? True Let s = 6 + -21. Suppose -3*a + 3*w = 45, 5*w - 34889 = 4*a - 34828. Which is smaller: a or s? s Let c be (378/49)/(((-9)/3)/(-3)). Let d = -3435/448 + c. Is -1 less than or equal to d? True Let n(r) = -r - 3. Let h be n(-5). Let l = 201/17 + 2089/85. Let k = l - 179/5. Which is smaller: h or k? k Suppose 0 = -2*l + 4*l - 2. Let p = 108349/22 + -4924. Which is smaller: l or p? p Let z = 1943 + -3887/2. Suppose 17 = -4*q - r, 3*r -
{ "pile_set_name": "DM Mathematics" }
- sqrt(7)) + 2. 3 + 4*sqrt(7) Simplify -2 + (sqrt(245) + -1 - ((sqrt(10)/sqrt(2))**2 + 1)). -9 + 7*sqrt(5) Simplify -5 + (sqrt(468)*-1 - sqrt(52))/(2*sqrt(4)*5). -5 - 2*sqrt(13)/5 Simplify -1 + sqrt(3) + -1 + 3 + -1*sqrt(300) + 3. -9*sqrt(3) + 4 Simplify 2*2*-2*sqrt(5). -8*sqrt(5) Simplify (-5*sqrt(171)/(sqrt(900)*-2 - sqrt(900)))**2. 19/36 Simplify (sqrt(5)*5 + -2)*-2. -10*sqrt(5) + 4 Simplify -3 + sqrt(17) + -2*sqrt(425). -9*sqrt(17) - 3 Simplify -2 + (sqrt(2) - (-2 + sqrt(2)))**2 + 2. 4 Simplify -1*-3*sqrt(5)*1. 3*sqrt(5) Simplify 2*-4*(sqrt(245) + sqrt(5)). -64*sqrt(5) Simplify ((5*1*sqrt(56))/sqrt(8) - (sqrt(6300) - (sqrt(6300) - -2*sqrt(6300) - sqrt(6300)))/sqrt(9))**2. 1575 Simplify -5 + 0 + sqrt(2057). -5 + 11*sqrt(17) Simplify (sqrt(51) - ((sqrt(153)/sqrt(3) - sqrt(51))*-4 + sqrt(51)))/(sqrt(3) - (-1*sqrt(147) + sqrt(147) + sqrt(147) + sqrt(147))). 0 Simplify ((sqrt(1377) + -2*sqrt(1377))**2 - sqrt(1377)) + (2 + -1 + sqrt(17) - sqrt(17))**2. -9*sqrt(17) + 1378 Simplify 3*(0 + (2 + sqrt(847) - sqrt(847)) + sqrt(847)). 6 + 33*sqrt(7) Simplify (1 + sqrt(13))*1 - 1*sqrt(13)*-3. 1 + 4*sqrt(13) Simplify sqrt(119)/(sqrt(7)*4)*4. sqrt(17) Simplify 2*(sqrt(4455) + 1*sqrt(4455))/sqrt(5). 36*sqrt(11) Simplify (sqrt(931) - (5 + 0 + sqrt(931) + sqrt(931)))**2. 70*sqrt(19) + 956 Simplify ((sqrt(3) + sqrt(12))*-5)**2 + sqrt(15)/sqrt(5) + -1. sqrt(3) + 674 Simplify sqrt(13) + -1 + sqrt(208) + sqrt(13) + sqrt(117)/(sqrt(9) - -1*sqrt(9)). -1 + 13*sqrt(13)/2 Simplify (1*sqrt(1008))/((sqrt(28) + (sqrt(28) - (sqrt(448) + sqrt(28))))/sqrt(7)). -2*sqrt(7) Simplify (-2*sqrt(1500))/((sqrt(5) - sqrt(5)*-2)*-5). 4*sqrt(3)/3 Simplify sqrt(320)*2*3. 48*sqrt(5) Simplify -3*(sqrt(132) - (sqrt(132) + 2*sqrt(132)*2))/sqrt(12). 12*sqrt(11) Simplify (sqrt(500) + 1*sqrt(500) + 3 + sqrt(500) + 3)**2. 360*sqrt(5) + 4536 Simplify 3 + (1 + sqrt(396))**2. 12*sqrt(11) + 400 Simplify 2 + sqrt(77)/(sqrt(792)/sqrt(2)). sqrt(7)/6 + 2 Simplify (-2 + sqrt(20))*-5 - sqrt(35)/(sqrt(7) - sqrt(7)*-2*5). -111*sqrt(5)/11 + 10 Simplify (sqrt(84)/sqrt(2))/sqrt(6)*4. 4*sqrt(7) Simplify (-3 + sqrt(27) + -2 + 2*sqrt(6)/sqrt(2))**2. -50*sqrt(3) + 100 Simplify (sqrt(567) + 2)*6. 12 + 54*sqrt(7) Simplify 1 + ((-4 + sqrt(8)/sqrt(4))**2 - (-3 + (-1 + sqrt(2))**2)). -6*sqrt(2) + 19 Simplify 3 + (0 + sqrt(1053))**2 + 0. 1056 Simplify ((sqrt(440)*1)/sqrt(11) + sqrt(40))/((sqrt(16) + sqrt(32)/sqrt(2))/sqrt(2)). sqrt(5) Simplify 4*((sqrt(13) - (sqrt(130) + -3*sqrt(130))/sqrt(10)) + sqrt(13))**2. 832 Simplify (4 + sqrt(720))*1. 4 + 12*sqrt(5) Simplify (3*(sqrt(40) + sqrt(160)))/sqrt(8). 9*sqrt(5) Simplify 5 + -3*(sqrt(200) + (sqrt(200) - sqrt(200)*1)) + sqrt(200) + sqrt(200). -10*sqrt(2) + 5 Simplify (sqrt(16)*2)/sqrt(8) - sqrt(2) - (sqrt(2) + 0)*-2 - (-1 + 0 + (sqrt(6)/sqrt(3))**2). -1 + 3*sqrt(2) Simplify (sqrt(228)/(sqrt(24)/sqrt(2)))**2 - (sqrt(304)*2)**2. -1197 Simplify 5*-5*(sqrt(243) - sqrt(243)*-1)**2. -24300 Simplify (sqrt(45) + sqrt(45)*-2 + 2 + sqrt(15)/sqrt(3))**2 + ((sqrt(20)/sqrt(4) + 3)**2 - sqrt(45)/sqrt(81)). -7*sqrt(5)/3 + 38 Simplify (0 + sqrt(2736) + -2 + sqrt(2736) + -4)**2. -288*sqrt(19) + 10980 Simplify ((sqrt(132)*4)/sqrt(12))**2 - (sqrt(1331) + 3). -11*sqrt(11) + 173 Simplify ((sqrt(343) - (sqrt(343) - (sqrt(343) + (2*(-2*sqrt(343) - sqrt(343)) + sqrt(343) - sqrt(343))))) + -1)**2. 70*sqrt(7) + 8576 Simplify 4 + sqrt(20)/(sqrt(4) - 2*sqrt(4)). -sqrt(5) + 4 Simplify (2 + 4*sqrt(475))**2. 80*sqrt(19) + 7604 Simplify (sqrt(15) + sqrt(15) + (sqrt(165)*1 + sqrt(165))/sqrt(11))/(-2*sqrt(5)*1). -2*sqrt(3) Simplify 5 + (sqrt(245)*2 + sqrt(245) - sqrt(180)*1). 5 + 15*sqrt(5) Simplify (-2*sqrt(99)*3 + sqrt(99))/(sqrt(108)/(sqrt(300) + sqrt(12) + sqrt(12))). -35*sqrt(11) Simplify (sqrt(24)/(1*sqrt(2)))/((sqrt(72)*-2)/sqrt(12)). -sqrt(2)/2 Simplify -4*1*sqrt(44) + -2 + -1 + sqrt(1331). -3 + 3*sqrt(11) Simplify (3 + sqrt(252) + sqrt(252) + sqrt(252))**2 + 0. 108*sqrt(7) + 2277 Simplify sqrt(98) + (sqrt(98) - sqrt(98)*1)*1. 7*sqrt(2) Simplify sqrt(11) + sqrt(44)/sqrt(4) + 5 + 4. 2*sqrt(11) + 9 Simplify -2 + ((sqrt(52)/sqrt(4) + sqrt(13))*-3)**2 + (sqrt(1573) + sqrt(1573) + (sqrt(1573) - (sqrt(1573) + 1)) + sqrt(1573))**2. -66*sqrt(13) + 14624 Simplify 3 + (sqrt(65) + (sqrt(65) + -2*sqrt(65))*-2 + sqrt(65))/sqrt(5). 3 + 4*sqrt(13) Simplify (4*(-2 + sqrt(72)))**2 + 4. -384*sqrt(2) + 1220 Simplify sqrt(76)/((sqrt(40)*2)/sqrt(10)). sqrt(19)/2 Simplify (sqrt(972) + sqrt(972)*-1)/(((sqrt(99)*2)/sqrt(11) - sqrt(9)) + sqrt(9)). 0 Simplify (sqrt(720) - (1*sqrt(720) - sqrt(720)))/((sqrt(120) + sqrt(120) + sqrt(120)*-1 + sqrt(120))/sqrt(12)). 3*sqrt(2) Simplify sqrt(5) + -2 + sqrt(5) + sqrt(10)/sqrt(2) + sqrt(5) - (sqrt(20) + 3)**2. -31 - 8*sqrt(5) Simplify 4*((sqrt(25)/sqrt(5) + -5)**2 - sqrt(5) - (-2 + sqrt(15)/sqrt(3))). -48*sqrt(5) + 128 Simplify -1 + (sqrt(38)/sqrt(2))**2*-3. -58 Simplify (-2*sqrt(66)*-5 - sqrt(66))/(-2*sqrt(726)). -9*sqrt(11)/22 Simplify (((sqrt(12) + (sqrt(12) + sqrt(48)/sqrt(4) - sqrt(12)))/sqrt(6) - sqrt(2) - sqrt(2)) + sqrt(2))**2 + sqrt(2)*-2 + 1. -2*sqrt(2) + 3 Simplify sqrt(1584) - (sqrt(1584) - 1*sqrt(1584)*-5). -60*sqrt(11) Simplify (sqrt(154)/(sqrt(11) - (sqrt(11)*1 - sqrt(11))))/((sqrt(36) - sqrt(4))/sqrt(2)). sqrt(7)/2 Simplify -4*(-1*sqrt(176) + 2 + sqrt(11) + 0). -8 + 12*sqrt(11) Simplify -2 + 1 + -5*((sqrt(19) - (sqrt(19)*-1 + -2)) + sqrt(19))**2. -876 - 60*sqrt(19) Simplify (sqrt(156) - 6*(sqrt(156) + (-2*sqrt(156) - sqrt(156))))/(1*sqrt(36)/sqrt(3)). 13*sqrt(13) Simplify (-1*sqrt(275))**2 + sqrt(275) + sqrt(11) - (sqrt(1331) + 1)**2. -1057 - 16*sqrt(11) Simplify sqrt(18)/(-4*sqrt(36)). -sqrt(2)/8 Simplify (-1*(sqrt(76) + sqrt(76) + (sqrt(76) - sqrt(76)*-2)))/(sqrt(4) + sqrt(36)/(sqrt(18)/sqrt(2)) + sqrt(4)). -5*sqrt(19)/3 Simplify (-3*(sqrt(1088) + -2))**2. -288*sqrt(17) + 9828 Simplify 5 + (sqrt(19) - (sqrt(114) + -2*sqrt(114) + sqrt(114))/sqrt(6))**2 + (sqrt(19)*1*-3 - -6*(sqrt(57)/sqrt(3))**2). -3*sqrt(19) + 138 Simplify (sqrt(170) + sqrt(170)*-2)/sqrt(10) + (sqrt(425) - (sqrt(425) + -1))**2. -sqrt(17) + 1 Simplify 5*((sqrt(304)*-1 - sqrt(304))**2 - sqrt(304)) + (sqrt(304) - ((-1 + sqrt(304) + sqrt(304) + sqrt(304)*2 + sqrt(304))**2 + sqrt(304))). -1521 + 20*sqrt(19) Simplify (sqrt(3078) - -1*sqrt(3078))/sqrt(2). 18*sqrt(19) Simplify (sqrt(88)*2)/sqrt(8) + -2. -2 + 2*sqrt(11) Simplify -4*(sqrt(240)/sqrt(16))/sqrt(12). -2*sqrt(5) Simplify -1*((sqrt(171) + (sqrt(171) + -1)*-2 - sqrt(171)) + sqrt(171)). -2 + 3*sqrt(19) Simplify (sqrt(440)/(sqrt(24)/sqrt(3)))/((sqrt(88)*-2)/sqrt(8)). -sqrt(5)/2 Simplify -2 + (sqrt(931) + 0 + -5 - sqrt(931) - sqrt(931)). -7*sqrt(19) - 7 Simplify ((sqrt(30) - 2*sqrt(30))*-6)/((2*sqrt(120) - sqrt(120))/sqrt(12)). 6*sqrt(3) Simplify 2*(sqrt(13) + sqrt(13) + (-1 + sqrt(13) + -4)**2). -16*sqrt(13) + 76 Simplify (sqrt(1458)*-2)/(sqrt(294)*-2) + -3. -3 + 9*sqrt(3)/7 Simplify (((sqrt(114)*-1 + sqrt(114))*-2)/((sqrt(162)/sqrt(3))/sqrt(9)))**2. 0 Simplify (sqrt(216)*-1)/(sqrt(48)/sqrt(4)*4). -3*sqrt(2)/4 Simplify sqrt(833)*-1 + 4. -7*sqrt(17) + 4 Simplify (sqrt(40)/((sqrt(8) - sqrt(200)) + sqrt(8)) - sqrt(10)/sqrt(2)*-4)**2. 605/9 Simplify ((sqrt(44)/(3*sqrt(4)) - sqrt(11)) + (sqrt(77)*-5 + sqrt(77))/sqrt(7))**2. 2156/9 Simplify (((sqrt(162) - -2*sqrt(162)) + sqrt(162))/sqrt(9))/sqrt(6). 4*sqrt(3) Simplify 2*(-3 + (sqrt(13) - (sqrt(13) + 0)) + -2). -10 Simplify (sqrt(320) - (sqrt(320) + (sqrt(320) - (sqrt(320) + 3 + 3*sqrt(320) + sqrt(320))) - sqrt(320))**2)*-3. 552*sqrt(5) + 15387 Simplify (1*sqrt(12))**2 + (sqrt(33)*1)/sqrt(11). sqrt(3) + 12 Simplify -3*sqrt(21)/sqrt(7) + (sqrt(21)/(2*sqrt(7)) - sqrt(3)). -7*sqrt(3)/2 Simplify (sqrt(3087) - (1*sqrt(3087) - sqrt(3087) - sqrt(3087)) - sqrt(3087) - sqrt(3087))/sqrt(9)*-3. 0 Simplify sqrt(2057) - (sqrt(2057) - (-1 + sqrt(2057)))**2 - (sqrt(17) + -6*sqrt(17)*-3 + sqrt(17)). -9*sqrt(17) - 1 Simplify ((sqrt(363) - (sqrt(363) + 1)) + sqrt(27)*-2)**2. 12*sqrt(3) + 109 Simplify (sqrt(60)/(-2*sqrt(6)))/(2*sqrt(8) - sqrt(8)). -sqrt(5)/4 Simplify sqrt(500) - (sqrt(500) + -3*(sqrt(500) + 2)) - (-2 + 1*sqrt(500)). 8 + 20*sqrt(5) Simplify (sqrt(125) - sqrt(5))**2*3 - (sqrt(320) + 1). -8*sqrt(5) + 239 Simplify ((sqrt(1100) - (sqrt(1100) + 1)**2) + -4)*4. -4420 - 40*sqrt(11) Simplify ((sqrt(605) + -1)*
{ "pile_set_name": "DM Mathematics" }
pose -73029 = -29*z + 22091. Round z to the nearest 1000. 3000 Let z be 8/(-36) + 20*(-1)/(-9). Suppose -z*o + 3*g = -11, 0 = -o + 2*g + 3*g + 16. Round o to the nearest integer. 1 Let y = -39 + 39.18. Let z = y + -0.1800119. What is z rounded to six dps? -0.000012 Let a = 148 - 125.8. Let d = -20 + a. What is d rounded to zero dps? 2 Let x = -1.38 - -80.38. Let y = -79.124 + x. Round y to two decimal places. -0.12 Let k be (-33)/27 + (-21)/27 + 1. Let g be k - (-1 - (-3)/12)*-133332. What is g rounded to the nearest 1000000? 0 Let t = -322109 + 322134.99935. Let q = 26.009 + -0.009. Let k = t - q. What is k rounded to four decimal places? -0.0007 Let h(y) = 10373*y**2 - 21*y - 40. Let t be h(-8). What is t rounded to the nearest 100000? 700000 Suppose -3*b - 1932 = 4*x + 965, -x = 4*b + 3854. Round b to the nearest 100. -1000 Let r = 352 - -429. Let w = r - 711.2. Let f = w + -76. What is f rounded to zero decimal places? -6 Let h = 2.7999975 - 2.8. Round h to six dps. -0.000003 Let r = 90.4638 - 0.6938. Round r to the nearest 10. 90 Let c(k) = -3*k + 24. Let p be c(7). Suppose 649988 = -v - 4*j, -p*v - 1300006 = -v - 2*j. Round v to the nearest one hundred thousand. -700000 Let k = -6553.000005149 + 6553. What is k rounded to six dps? -0.000005 Let o(h) = 103*h**3 - 5 + 4*h + 18*h**2 - 45*h**2 + 23*h**2. Let p be o(-5). Round p to the nearest 10000. -10000 Let z = 0.0028 - 0.00282928. Round z to 6 dps. -0.000029 Let d = 2.199522 + -2.2. Round d to 5 dps. -0.00048 Let d = -67716.1358213 + 3202061.1350313. Let y = d + -3134279. Let c = y + -66. What is c rounded to 4 decimal places? -0.0008 Let v = 24.5 + 7.5. Let f = v - 31.999972. What is f rounded to 5 decimal places? 0.00003 Let n be (6/12 - 1497/(-6))*134680. What is n rounded to the nearest one million? 34000000 Let c = 3.1 + -3.508. What is c rounded to one decimal place? -0.4 Suppose p - 2*s - 4440 = 0, 5*p - 58*s - 22200 = -55*s. What is p rounded to the nearest 1000? 4000 Suppose -2*p + 5*p = h + 11, 14 = 3*p + 2*h. Suppose p*v - 3432 = -392. Suppose -3*k + v = -5*k. What is k rounded to the nearest one hundred? -400 Suppose 5*x - v - 7 - 17 = 0, x - 8 = -3*v. Suppose -x*k - 3*y = 2*y - 5, 2*k + 3*y = -1. Suppose m + 6 = k, 2*s - 152 = 3*m. Round s to the nearest ten. 70 Let v = -6.364 - 0.726. Round v to 1 decimal place. -7.1 Let s = 113 + -232. Let w = s - -118.999967. What is w rounded to five decimal places? -0.00003 Let q = -0.3523 + 0.3520647. What is q rounded to five decimal places? -0.00024 Let p = 0.499 + 0.412. What is p rounded to 2 dps? 0.91 Let i = -417.94111 - -418.63. Let b = i + -0.69. What is b rounded to 4 dps? -0.0011 Let h = 0.03 + 0.61. Let v = -0.35 - h. What is v rounded to one dp? -1 Let x = 277.889 - 278. Let o = x + -0.093. What is o rounded to two dps? -0.2 Let w = 49 + -49.03693. Round w to 3 decimal places. -0.037 Let i = 103.00401 - 103. Round i to 3 dps. 0.004 Let c = -8824 + 8824.6427. What is c rounded to one decimal place? 0.6 Let f(p) be the second derivative of -102*p**5 + 7*p**4/12 + 5*p**3/3 + 7*p**2/2 - p. Let i = -56 - -49. Let n be f(i). What is n rounded to the nearest 100000? 700000 Let a = 229.99999508 + -230. What is a rounded to 6 dps? -0.000005 Let y = 0.67 - 1.5. Let i = y - -0.8. Let a = i - -0.033. Round a to 2 dps. 0 Let x be 10/75 - 472/(-60). Let p be 1845377 + (-5)/((-20)/x). Let m = p + -4445379. Round m to the nearest one million. -3000000 Let f = 12.017 - 0.797. What is f rounded to the nearest integer? 11 Let x be (2/(-4))/(15/(-14874870)). Let q = x - 1395829. What is q rounded to the nearest 100000? -900000 Suppose 5*q = 1478367 + 3271633. Suppose -7*p + q = -6*p. Round p to the nearest 100000. 1000000 Suppose 2*o - 2*k = -420, 0 = 7*k - 2*k + 5. Round o to the nearest 10. -210 Let d = 57 - 1. Let i = d - 56.00000114. What is i rounded to seven dps? -0.0000011 Let h(s) = -s - 8. Let t be h(-12). Let q be (-8 - -9)/(1/408). Suppose -b + 2*b - 4*c - q = 0, -5*c - 1610 = -t*b. Round b to the nearest one thousand. 0 Let o = -0.44559 + 0.449. Round o to 4 dps. 0.0034 Let c = 0.32 + 2.68. Let f = 3.00002 - c. Round f to five dps. 0.00002 Suppose 0*l - 3*l = -12. Let v be (3 - 3)/(l + -3). Suppose -4*n + 7*n - 2730000 = v. What is n rounded to the nearest 100000? 900000 Let u be 9/(0 + -3) - -9. Let v be 1753*1 + (4 - u). Suppose -4*b - 3*k - v = 0, -6*b + 3*b - k = 1317. Round b to the nearest one hundred. -400 Let l = 0.54 - -25.96. Let c = -37.061 + 0.061. Let i = l + c. What is i rounded to the nearest integer? -11 Let g = -50 - -50.087. Let o = -0.073 - g. What is o rounded to 1 decimal place? -0.2 Suppose 263603 = -c - 221197. What is c rounded to the nearest ten thousand? -480000 Let w = 341447 - 341723.217. Let s = -276 - w. What is s rounded to two dps? 0.22 Let r = 3.759 + -2.58. Let n = 2.999 - 3. Let q = r - n. Round q to 1 decimal place. 1.2 Let o = -59.9599 - -60. Round o to two dps. 0.04 Let n be 15/3*(-201352)/(-10). Let k = n - 38676. Suppose 0 = -2*r - 3*r - k. What is r rounded to the nearest one thousand? -12000 Suppose -27487994 = -4*r - 1676950. Suppose -4*z + 73857911 = 3*m, 4*z - r + 80310680 = 3*m. Let v = 15519305 - m. What is v rounded to the nearest 1000000? -9000000 Let k = 0.113 + -0.1130801. What is k rounded to five decimal places? -0.00008 Let y = -605.52 - -579. Let h = y + 26. Let i = -0.520071 - h. What is i rounded to 5 dps? -0.00007 Let s = -1111346450 + 1111346450.4272960552. Let f = s + -294.4273077552. Let i = f - -294. Round i to 6 dps. -0.000012 Let c = -29.5 - -29.499999146. Round c to seven decimal places. -0.0000009 Let x = -4.17 - -4.551. What is x rounded to 2 decimal places? 0.38 Suppose 3*b - 4*b - 4*i + 3044 = 0, -15204 = -5*b - 4*i. Round b to the nearest one hundred. 3000 Suppose -5*t - 7 = -22, 0 = -5*g + 2*t + 1669479. Let w = 183897 - g. Round w to the nearest one hundred thousand. -200000 Let c = 1030996.08 + -1030997.19000218. Let b = c - -1.11. Round b to 7 dps. -0.0000022 Let l be 5/((-10)/(-12)) + -1. Suppose -4*s = 3*a - 28033 - 25955, -l*s + 4*a = -67516. What is s rounded to the nearest 1000? 14000 Let s = 0.038 + 19.962. Let o = -9 + s. Let f = o + -10.999997. Round f to 5 decimal places. 0 Let y = 208612 + -2838612. Round y to the nearest 100000. -2600000 Let q = 178.424 - 178. Round q to two dps. 0.42 Let j be 1 + 15/5 + (373998 - 2). What is j rounded to the nearest one hundred thousand? 400000 Let b = -51032496.4481 - -51026545. Let w = 5951 + b. Let p = -0.45 - w. What is p rounded to 4 decimal places? -0.0019 Let w be ((-26)/(-8) - 1)/((-14)/(-56)). Let b(m) = 2*m**3 - 11*m**2 - 13*m - 5. Let j be b(w). What is j rounded to the nearest 100? 400 Let d = -4.3 + 33.1. What is d rounded to the nearest 10? 30 Let i = -88905809 + 88903834.89956. Let f = 1974 + i. Let z = f + 0.1. Round z to 4 dps. -0.0004 Suppose 0 = -6*a + a + 123701565. Let j = 45257706 + -32117393. Let y = a - j. What is y rounded to the nearest 1000000? 12000000 Let n(o) = 333333*o**2 - 2*o - 3. Let l = -4 + 28. Let p be l/(-9) - 4/12. Let u be n(p). Round u to the nearest one million. 3000000 Let h = -49 + 33. Let n = 15.916 + h. Round n to 2 dps. -0.08 Suppose -3*w + 27 = -3*p, 4*w - 10 - 2 = -4*p. Let f(k) = -k**3 - 2*k**2 + 6*k + 5. Let x be f(-4). Suppose 7*v = w*v - x. What is v rounded to the nearest 10? -10 Let l(k) = k**2 - 22*k + 38. Let q be l(24). Let c be (-25*q)/((7/(-10))/(-7)). Round c to the nearest 10000. -20000 Let g be 4000/(8/(4660*-4)). Round g to the nearest 1000000. -9000000 Suppose o - 5*i - 8 = 0, 5*o + 0*i = -3*i + 12. Suppose o + 5 = 2*y. Suppose 3*c + 389 = -2*s - 2011, 4*s + 3200 = -y*c. Round c to the nearest one thousand. -1000 Let u = -36.35 - -36. Let o = 0.35005 + u. What is o rounded to 5 decimal places? 0.00005 Let f be 220/66 - 4/(-6). Suppose -s - 2020 = -f*w, -5*s + 3*w - 7179 = 2836. Round s to the nearest 10000. 0 Let n = 464.597 + 0.403. Let u = -466.656 + n. Let d = u + 1.8. What is d rounded to 2 decimal places? 0.14 Let n = -0.5583 - 5.4487. Round n to the nearest integer. -6 Let w = -3.1023 - -3.18. Round w to two decimal places. 0.08 Suppose 467*q - 465*q - 3116000 = 0. Round q to the nearest one hundred thousand. 1600000 Suppose -4*b + 2*k + 1
{ "pile_set_name": "DM Mathematics" }
pose 1 = c, -2*g = -c - 4*c + 1. Solve -5*t - 7 = -g for t. -1 Let i(g) = g - 1. Let x be i(7). Let d be (-1)/(-3) + (-10)/(-6). Solve d*y = -0*y + x for y. 3 Let j be (3/9)/(2/12). Suppose j*i - i = 0. Solve -4*c = -i*c for c. 0 Suppose -67 = 4*y - 3. Let m be 32/6 + y/(-24). Solve -4*c + m = -c for c. 2 Suppose -8 = -4*h - 2*y + 4, 0 = -3*h - y + 9. Let w(k) = -k**2 + 4*k - 2. Let f be w(h). Solve 0 = -5*o - f + 6 for o. 1 Suppose 4*j - 3 = 3*c + 13, -j + 4*c + 4 = 0. Solve j*r = -r for r. 0 Suppose 0*v = -5*v - 4*q + 12, 2*q + 4 = 0. Solve 8 = -v*y + 4 for y. -1 Let g(s) = -s**2 + 7*s. Let h = 18 + -13. Let t be g(h). Solve 0*p = 5*p - t for p. 2 Let m be (-279)/(-39) - (-4)/(-26). Solve 3*l = -m - 8 for l. -5 Let x be ((-14)/35 + 56/(-10))/(-2). Solve x*s + 6 = s for s. -3 Let b(r) = r + 4. Let y be b(-4). Suppose y = 4*l + 3*i + 30, -2*l + 24 = -5*l - 3*i. Let a(z) = -z - 2. Let w be a(l). Solve -w*c - c = -25 for c. 5 Let s be (-2 - -5)*10/6. Suppose -7 = -4*p + 5*a + 18, p = -5*a. Suppose p = 4*y - 3*y. Solve 0*g = -y*g - s for g. -1 Suppose -2*v = 3 - 13. Suppose 8*j - v*j = 18. Solve 2*a + j = -0*a for a. -3 Let d be (5/(-2) + 3)*-22. Let v = -9 - d. Solve -v*m - 1 = 3 for m. -2 Suppose 4*z - 2*d - 20 = 0, 0 = -3*d + 9 - 3. Let y(g) = 4*g - 6 - g**2 - 12*g - 1. Let c be y(-6). Solve c*p = -9 - z for p. -3 Let o(p) = 2*p**3 - 2*p**2 - p. Let g be o(2). Let n(j) = -2*j - 16. Let m be n(-8). Solve m*z + g = -2*z for z. -3 Suppose 0*z - 6 = -2*z. Suppose 0 = 4*n + b - 0*b - 1, 5*b = 2*n + 5. Solve n*f = f - z for f. 3 Let f(v) = v**3 + 9*v**2 + 6*v - 12. Let c be f(-8). Suppose -5*b = -87 - 88. Suppose -11 = c*z - b. Solve q = z*q for q. 0 Let n = 14 - 12. Let a be -1 + (16 + -2)/n. Solve 5*h + a = -19 for h. -5 Let n(v) = -v. Let f(q) = 13. Let z(p) = f(p) + 2*n(p). Let g be z(-6). Solve -2*m = -7*m + g for m. 5 Suppose q - 2 = -2*n + 7*n, -3*n = 5*q + 18. Let m = -3 - q. Suppose m = -3*p + 56 - 20. Solve -3*l - p = l for l. -3 Let k be (-10)/45 - (-616)/18. Suppose 2*i - 2*u - 12 = 0, 3*u + k = 6*i - i. Solve i*q = 3*q - 15 for q. -3 Let r(z) = -z**2 - 8*z - 8. Let k be r(-7). Let t be 10 + (1 - 2/k). Solve 0 = -3*b - t - 2 for b. -5 Let j = -4 - -1. Let z be 1/j + 3/9. Solve 5*l - 2*l + 9 = z for l. -3 Suppose 101*w - 102*w + 1 = 0. Solve 1 = -2*i - w for i. -1 Let h(j) = -j**3 - 14*j**2 - 13*j + 10. Let o be h(-13). Solve -7*s = -2*s + o for s. -2 Let s = 4 - 6. Let c be ((-3 - s) + 1)/1. Suppose c = -2*h + 6*h. Solve 0 = -h*z - 4*z + 4 for z. 1 Suppose -7*d - 19 = -6*d. Let l = d - -21. Solve 3 = l*r - r for r. 3 Let d be (48/5)/((-5)/50). Let c be ((-2)/6)/(4/d). Solve 3*o - c*o - 15 = 0 for o. -3 Let g be ((-26)/(-6) + -4)*-3 - -16. Let y = 2 - 1. Let h be 21/4 - y/4. Solve -h = -2*u - g for u. -5 Let p(q) be the third derivative of q**6/120 - q**5/15 + q**4/12 - q**3/2 - 5*q**2. Let y be p(4). Solve -4*d + 7 + y = 0 for d. 3 Let j(i) = -i**2 + 3*i + 4. Let h be j(3). Suppose -5*f - 34 = -3*v, -v + 3*v - 26 = h*f. Let q be 2/(-6) - (-7)/v. Solve q*w - 2 = 6 for w. 4 Let s(t) be the first derivative of -t**2 + 2. Let o(n) = 3*n. Let i(g) = 3*o(g) + 4*s(g). Let f be i(0). Solve -4*u + f*u = 0 for u. 0 Suppose 0*c + 5 = 3*c + 2*l, 0 = c + 5*l + 7. Suppose 0 = -u + c*u. Solve u = -2*f - 6 - 4 for f. -5 Let r = -3 - -6. Suppose w + 4*t - t = 14, -3*w - r*t = -18. Solve w*z = -2*z for z. 0 Let c = -6 + 10. Let o(k) = 3 - c + k**2 + 4*k - 4*k. Let g be o(1). Solve g = 2*y - 3*y - 4 for y. -4 Let j = -7 + 7. Suppose 4*c = -j*c + 12. Let l be 0 + c - (0 - -3). Solve l = -h - 2*h for h. 0 Suppose -4*l + n + 4 = 0, 0*l - 4*n + 3 = 3*l. Suppose -r + 10 = 2*j - 3*r, -5*r = 2*j - 38. Suppose 11 + j = 5*u. Solve -i - u = -l for i. -3 Let z = 5 - 4. Let r be 0 + z/1 + 3. Solve q - 10 = -r*q for q. 2 Let a(x) = -x**3 + 11*x**2 + 14*x - 12. Let k be a(12). Let d be (-6)/(-3) + 6 + -1. Solve 0 = -d*i + 3*i + k for i. 3 Let f(n) = n**3 + 13*n**2 + 20*n - 4. Let o be f(-11). Let c(t) = -t**3 - 4*t**2 - 2*t - 1. Let v be c(-3). Let z = 0 - v. Solve -z*j + o = 2 for j. 4 Let j(t) = t + 1. Let f be j(1). Let q(a) = 3*a - 12. Let m(u) = -7*u**3 + 2*u**2 + 2*u + 1. Let k be m(-1). Let h be q(k). Solve f*l = -2*l + h for l. 3 Let s(u) = -11*u**3 - u**2. Let i be s(-1). Suppose 0 = -5*a + i - 0. Solve -5*w + a*w + 6 = 0 for w. 2 Let a = 12 - 19. Let u = 19 + a. Solve -2*z + u = z for z. 4 Let p be 2 - (-1*8)/4. Suppose -4*c = p, -4*c + 5*c + 16 = 3*o. Suppose 4*v - 31 = 1. Solve o*g - v = g for g. 2 Let g(b) = -b**2 - 20*b + 21. Let n be g(-21). Solve n = -4*l - 4 - 0 for l. -1 Let n(s) = s - 4. Suppose -4*p + 2 + 26 = 0. Suppose -p*y - 3*j + 20 = -2*y, -3 = y + 2*j. Let z be n(y). Solve -z*b - 12 = -3 for b. -3 Suppose -6 = 2*y - 0, -5*h = y + 3. Let r = 5 + 1. Suppose h = -r*m + m + 10. Solve -m*b = 2*b + 8 for b. -2 Let p(q) = 14*q - 9. Let u be p(6). Suppose -u = 5*b + 45. Let a be 2/7 - b/14. Solve -y = a*y - 6 for y. 2 Let g(b) = b**3 - 9*b**2 + b - 10. Let y be g(9). Let j be (-1)/(y/(4 - 0)). Solve j = 5*v - 6 for v. 2 Suppose -2*u - 16 = -4*a, 0*a = a + 3*u - 4. Suppose 0 = -x + 3*x + y, 2*x = -a*y - 12. Solve c + 3 + x = 0 for c. -5 Suppose 0*k - 4*k = 0. Let p be (-8)/(-28) - 19/(-7). Let b = p + 1. Solve k = -0*r - b*r for r. 0 Let m = -3 - -13. Let u = -10 + m. Solve -2*t - 2 + 0 = u for t. -1 Let o = 11 + -3. Solve 0*y + o = 4*y for y. 2 Let l(o) be the first derivative of o**4/4 + o**3 - 7*o**2/2 - 8*o + 8. Let g be l(-4). Solve 16 + g = 5*a for a. 4 Let l(w) = w + 3. Let j be l(-2). Solve -j - 1 = -d for d. 2 Suppose -2*t = -51 + 147. Let p be 1*-1 - t/8. Solve -p*x = -3 - 2 for x. 1 Let u(c) = c**3 + 14*c**2 + 14*c + 13. Let s be u(-13). Solve s = -i + 5*i - 4 for i. 1 Let v(c) = -c**2 + 8*c - 2. Let t be v(7). Solve -t*x + 0 - 15 = 0 for x. -3 Let h = 144 - 99. Suppose 4 = 2*y - 4. Suppose 9*f = y*f + h. Solve -4*a = -f + 1 for a. 2 Let b = 12 - 6. Let c(p) = -p - 6. Let r be c(-6). Solve r*u + b = -3*u for u. -2 Suppose 4*v - 3*l - 52 = l, -5*l = -3*v + 33. Solve 7 - v = -3*f for f. 3 Suppose -4*y = -4*s + 32, -4*y + 1 = 2*s + 15. Suppose s*n - 2 = 1. Let i = 1 - n. Solve p + 4*p = i for p. 0 Suppose -2*b + 6 = -6. Suppose b*c - 3 = 3*c. Let t = 3 - c. Solve -t*f = 4 - 8 for f. 2 Let n = -1 - 8. Let u(t) = t**3 + 9*t**2 - t - 1. Let y be u(n). Solve -y = 3*x - 2 for x. -2 Suppose 4*w - 4*k - 12 = 0, -3*w - k = -7*w + 3. Let v be 1/(9/6 - 1) + 0. Solve w = -v*n - 3*n for n. 0 Let o(q) = -q**2 - 15*q + 8. Let u be o(-15). Solve -4*z - u = 12 for z. -5 Suppose 3 = -n, 10 - 9 = -2*h - 3*n. Solve -h*k + 9*k = -20 for k. -4 Let k be (2/4)/(39/18 + -2). Solve k*d + d = 4 for d. 1 Let k(o) = -o**3 + o + 1. Suppose 0 = 3*v + 5 + 1. Let w be k(v). Solve -3 = 5*d + w for d. -2 Let i(c) = -c**3 - 11*c**2 - 12*c - 10. Let q be i(-10). Let l = q + -5. Suppose a = l*a - 12. Solve -v = -2*v + a for v. 3 Let a(t) = -t**3 + 4*t**2 - 3*t + 3. Let w be a(3). Suppose i = -w*i + 124. Solve 5*c - i = -6 for c. 5 Let i be ((-1)/3)/(3/(-9)). Let z = -1 + i. Solve z = j - 4*j - 3 for j. -1 Suppose 3*t = 5*n - 8, n - 5*t = -0*n - 16. Let q = 5 - 3. Suppose -5*x + 5*v = 5, -14 = -q*x - v - v. Solve -n*o + 5 = -x*o for o. 5 Suppose 0*p + p - 5 = 0. Solve -5*z - 5 - p = 0 for z. -2 Suppose -4*g - 5*y = -21, -3*g + 25 = 2*g + 5*y. Suppose -4*l - g*r = -56, 3*l - 3*r - 5 = 31. Solve -3*u - 1 + l = 0 for u. 4 Let u(w) = -w**3 + 6*w**2 - 7*w - 1. Let j be u(3). Solve -1 = 2*r - j for r. 2 Let v(h) be the second derivative of -h**3/6 - h**2/2 + h. Let s be v(3). Let p = 1 - s. Solve 0 = k - p*k for k. 0 Suppose 5*t + p - 10 = 0, t - 28 = 2*p + 3*p. Solve -g + t = -0 for g. 3 Let k(t) = -t**2 - 8*t + 3. Let f be k(-8). Let r = 9 - f. Solve 0*q - r = -2*q for q. 3 Let a = -6 - -8. Let r be (1*50)/(12/6). Let b = -15 + r. Solve 4*w - b = a*w for w. 5 Suppose -8 = 4*k - 2*k, 3*h - 5*k = 29. Suppose -5*i = c - 17, h*c + 3*i = 8*i - 9. Solve c*n - 5*n - 6 = 0 for n. -2 Let w = 75 - 72. Solve -w*t + 16 = 1 for t. 5 Let c be 6*2*2/8. Suppose -4*m - 4 + 2 = 5*b, b = 3*m + 11. Suppose -g = b*g. Solve -c*v = -3 - g for v. 1 Let g be 10*((-2)/(-4) - 0). Suppose 9 = j + 2*j. Suppose 4 = -3*u - 4*n - j, -3*n = -2*u + 18. Solve u + g = 2*f for f. 4 Let u = -20 - -20. Let w be ((-12)/(
{ "pile_set_name": "DM Mathematics" }
- 17.88. Let u = t - -18. Which is the fourth biggest value? (a) -0.2 (b) 3 (c) u (d) 0.1 a Let z = 8 + -7. What is the smallest value in -3/8, -4/23, z? -3/8 Let n(y) = 2*y + 52. Let r be n(-28). What is the biggest value in -84, r, -5? r Let z = 8 - 4. Let d = 1 + -5. Suppose -5*q = -13*q + 16. Which is the biggest value? (a) z (b) q (c) d a Let h be 34/(-198) - 4/(-22). Let y = -193/495 - h. What is the third biggest value in 1/7, y, 1? y Let z = 8 + -7. Let i = -1016 + 1016.03. Which is the third smallest value? (a) 0.1 (b) i (c) -2/11 (d) z a Let l(t) = 3*t - 31. Let y be l(10). Let n = -0.1 + -0.4. Suppose -2*b = 4*u - 0*u + 6, -1 = 4*u + b. What is the biggest value in n, u, y? u Suppose a + 1 + 3 = 0. Let v be ((-2)/a)/(1/3). What is the fourth smallest value in 2/9, v, -0.4, -2/33? v Let i = -24 + 26. Let g be 1/(2/(-332)*2). Let p = -419/5 - g. What is the second smallest value in i, p, 2/17? 2/17 Let j(x) = -6*x**2 + 61*x + 7. Let o(u) = 3*u**2 - 31*u - 3. Let z(m) = 4*j(m) + 7*o(m). Let f be z(9). Which is the biggest value? (a) 1 (b) -0.2 (c) f c Suppose -2*m - 4*s + 160 = -6*m, -s = 4. Let z = 45 + m. Which is the third smallest value? (a) z (b) -2 (c) 3 c Let r = -32.2 + 32. Which is the second biggest value? (a) 0 (b) 0.1 (c) r (d) -0.8 a Let k be (-20)/(-119) + 10/14 + -1. Which is the smallest value? (a) -0.5 (b) -1 (c) k b Let r = 12 + -11. Let d = 4.4 + -0.9. Let v = 3 - d. Which is the smallest value? (a) 2 (b) v (c) r b Let i = 616 - 615.9. Which is the third biggest value? (a) 1 (b) -12 (c) i b Let j = -761 - -765. Which is the biggest value? (a) 0 (b) j (c) 145 c Let l = 0.4 - 0.1. Suppose 0 = -3*w + w + 70. Let n be (-27)/w + (-6)/(-30). What is the third biggest value in n, -3/8, l? n Let q = 5.4 + -5. Suppose 0 = 4*m - 5*m + 4. Suppose -z = -3*z - g, -4*z - g = m. What is the second smallest value in 4, z, q? q Let n = 386 + -389. What is the second smallest value in n, -37, -1/6? n Let p = 1898 + -1895. Which is the second smallest value? (a) 2 (b) p (c) -0.5 (d) 5/71 d Let h = -0.06 - -2.06. Let b = 4.08 + -8.08. What is the third smallest value in -0.1, b, h? h Let i = 288 + -5474/19. Let t = -59/21 - -8/3. Which is the third biggest value? (a) i (b) 2/5 (c) t c Let w = -2 + 1.8. Let t = -101 + 98.75. Let y = t - 0.75. Which is the second biggest value? (a) w (b) y (c) 2 a Let o be -802*(5/1)/5. Let z be o/402 + (1 - -1). Let k = z - 809/1005. Which is the second smallest value? (a) -0.4 (b) 0.05 (c) k a Let f = 931/5 - 187. Let h = -1941/7 + 277. Which is the third smallest value? (a) -7 (b) f (c) h c Let q = 813/2 - 408. What is the third biggest value in q, -0.03, 1.2? q Let o = 2.83 - 0.13. Let z = o - 2.6. Which is the second smallest value? (a) 2 (b) z (c) 0 b Let w = 0.17 - -2.83. Which is the second smallest value? (a) 10/9 (b) 5 (c) w (d) 2 d Let h be (34/(-2))/((-2)/2). Let w = 12 - h. Suppose -2 + 6 = -o. Which is the second biggest value? (a) w (b) -12 (c) o a Let z = 2/181 + -384/1991. Let f = 135 - 130. What is the fourth biggest value in -2/9, z, f, -0.3? -0.3 Let h = -871 + 870.9. Let a = 0.05 + 0.35. Let x = -0.3 + a. What is the third biggest value in -3, x, h? -3 Let g = 226 + -225.8. Which is the smallest value? (a) 5 (b) g (c) -36 c Let y = 0.1606 - 0.4606. Let g = 1 + -6/5. What is the second biggest value in 2/31, g, y? g Suppose -2*u = -35 + 43. Which is the smallest value? (a) -90 (b) -1/4 (c) 2/5 (d) u a Let z = 28 + -49. Let j = -17.1 - z. Let s = 3.8 - j. Which is the second biggest value? (a) -1 (b) 1/5 (c) s c Let o = -3 + 7. Let m = 9/22 + 1/11. What is the smallest value in o, -2, m? -2 Let f be (8 + (-3008)/48)*(-15)/(-2). Which is the biggest value? (a) 5 (b) -1 (c) f a Let k = -0.328 + 0.428. What is the biggest value in 42/13, k, -3/5? 42/13 Let s = 7.8 - 3.2. Let z = s + -4.63. What is the third biggest value in -0.2, 2/25, z, -4/5? -0.2 Let n = 3.12 - -0.48. What is the second smallest value in -2, -0.2, n? -0.2 Let t = -2.2 - -2. Let c = 8498.6 + -8499. Let o = 0.8 - -0.1. What is the second smallest value in c, o, t? t Let f = -11.7 - -11.4. Let i = 7 - 9. Let p be (i - (-26)/8) + -1. Which is the second biggest value? (a) p (b) f (c) 1 a Let n be (0 - 30/(-4)*-1)*2. What is the fourth biggest value in n, 1, 5, -1/4? n Let t = 45 - 44.995. Let h = -0.205 + t. Let p = -41 - -327/8. What is the third biggest value in p, 0, h? h Let v be (-3 - (-3 - 4)) + -2. Suppose v*s - o = 4*s - 14, -s = -5*o - 29. What is the third smallest value in 0.2, 0.4, s? s Let k be (-1)/(-2)*(7 - 5). Suppose 2*l + k = 3*x - 2*l, 0 = -3*x - 3*l + 15. Let s = -0.2 + -0.1. What is the second smallest value in x, s, 0.5? 0.5 Let r = 4.8 - -10.2. Let j = -19 + r. What is the second biggest value in 4, 0.5, j? 0.5 Suppose -4*h + 5*j + 3 + 0 = 0, 0 = 4*h + 2*j + 18. What is the smallest value in 7, 2, h? h Let d = -7 + 6.9. Let m = d + 0.4. Let q = 58 + -57.9. What is the smallest value in 0, m, q? 0 Let r = 432 + -4755/11. Let z = 0.041 - -1.959. Which is the biggest value? (a) r (b) z (c) -2 b Let v = 1.1 + -0.1. Let j = -21645/8 - -2706. Which is the second smallest value? (a) j (b) 10 (c) v c Let w = -165.2 + 165. Which is the second biggest value? (a) 6/7 (b) 9 (c) w a Let j = 22 - 18. Let u = 1 + j. Let k = 5353/35 + -153. Which is the second smallest value? (a) u (b) 1 (c) k b Let x = 2703.9 + -2585.03. Let w = x - 118. Let p = w - -0.13. Which is the third smallest value? (a) p (b) 1/5 (c) 0.5 a Let k = 43.8 + -44. Let y = -43 + 38. What is the smallest value in -0.4, y, k, -3/4? y Let h = 508 - 477. Which is the biggest value? (a) h (b) -0.3 (c) -2/7 a Let x = 0.3 + 3.7. Let p = -64 - -67.7. Let q = 3.72 - p. Which is the smallest value? (a) -1/6 (b) x (c) q a Let y = -4 - -3.5. Suppose 2*q - 4*v - 2 = 0, 5*q + v = q + 22. Suppose 8 = -4*p, 0*p = q*j - p + 3. What is the second smallest value in j, y, -4? j Suppose 3*x = -s + 7, -2*x - 21 = -5*s - 3*x. Let o = 1.26 - 0.26. Which is the third biggest value? (a) s (b) -4 (c) o b Let s = -27.1094 - -0.1094. What is the second biggest value in -5, s, -2? -5 Let z = 102 + 42. Suppose -3*r - 132 = -3*m, 0 = 3*m + 2*r + 22 - z. Let n be (-6)/21 + 5/m. What is the second biggest value in n, 0, 9? 0 Let m = 14 - 14. Let q = -0.73 - -0.83. What is the fourth biggest value in 0.03, m, q, 1? m Let r = 64.908 - 65. Let l = -8.092 - r. Suppose 2 + 8 = 5*k. What is the second biggest value in l, 3/5, k? 3/5 Let q = -6.85 + 11.85. What is the third biggest value in q, -3, -0.48, 0? -0.48 Let t = -85.26 - 7.84. Let q = t + 93. Which is the second smallest value? (a) 3 (b) q (c) 4 (d) 0.3 d Let j be 0 + -6 + -8 + (-15)/(-3). Which is the second smallest value? (a) 2 (b) 4 (c) j (d) 3/5 d Let g be (9 - 66/8) + -1. What is the smallest value in -148, g, -1/2? -148 Let c = 154.2 - 149.2. Let z = -0.32 + 0.02. Let l = 3 + -5. What is the smallest value in c, z, l? l Let m = 0.0398 - -0.0002. What is the biggest value in 2, m, -2? 2 Let o = 7 - 10. Let n = 2.9 + o. Let l = n - -0.6. Which is the smallest value? (a) -0.3 (b) 4 (c) l a Let g = 222 + -230. What is the second biggest value in -1, g, -6? -6 Let s be (1/(-8))/(6/56). Let k = 26.9 + -26.5. Which is the second smallest value? (a) k (b) s (c) 0.3 c Let y = -0.224 - -1.524. Which is the second smallest value? (a) 2 (b) y (c) 1 b Let o = 0.04 - -0.42. Let x = o + 0.04. What is the third biggest value in 1/10, x, 5/2, -4? 1/10 Let w be ((-35)/(-25) + -1)/((-48)/(-30)). Let s = -18 - -13. Let k = -2 - s. Which is the second biggest value? (a) w (b) -2 (c) k a Let p = -0.738 - -0.798. What is the biggest value in p, 0.5, 2/9? 0.5 Let t be 6/4 - (-3590)/(-2420). What is the third smallest value in 0.2, t, -2/5? 0.2 Let z = -582 + 587. What is the third biggest value in z, 0.5, -4/5? -4/5 Let n = -9 + 13. Let x = -865 + 865.3. What is the third biggest value in x, n, 1/9, 0? 1/9 Let w = -506 - -505. Which is the smallest value? (a) 5 (b) 4 (c) -0.08 (d) w d Let m = 106 - 1168/11. Which is the fourth smallest value? (a) -2/5 (b) 1 (c) m (d) -0.3 b Let c(x) = x**2 - 7*x + 2. Let a be c(7).
{ "pile_set_name": "DM Mathematics" }
est integer. -189 What is 9525000 rounded to the nearest one hundred thousand? 9500000 Round -7351 to the nearest 1000. -7000 Round -15471 to the nearest one thousand. -15000 What is -16920 rounded to the nearest 1000? -17000 What is -0.0073038 rounded to 3 decimal places? -0.007 Round 733.13 to the nearest 10. 730 Round 0.097119 to 3 dps. 0.097 Round 0.0119 to 2 dps. 0.01 What is -36800 rounded to the nearest one thousand? -37000 What is -6360700 rounded to the nearest ten thousand? -6360000 What is -17.525 rounded to zero dps? -18 Round 321500 to the nearest 10000. 320000 Round -6823700 to the nearest ten thousand. -6820000 What is 2464500 rounded to the nearest 100000? 2500000 What is -0.0000000255 rounded to six decimal places? 0 What is 0.00004906 rounded to six decimal places? 0.000049 Round -3.46959 to 2 dps. -3.47 Round 2231000 to the nearest 100000. 2200000 Round 0.00022086 to five dps. 0.00022 Round 0.000009156 to seven decimal places. 0.0000092 Round 0.030684 to 3 decimal places. 0.031 What is 0.0026464 rounded to 4 dps? 0.0026 What is -9164700 rounded to the nearest one hundred thousand? -9200000 What is 3.047 rounded to one decimal place? 3 Round 0.000001165 to seven dps. 0.0000012 Round -9830 to the nearest 100. -9800 Round 0.877 to 1 decimal place. 0.9 Round -0.00398202 to four dps. -0.004 Round -0.0953 to 1 dp. -0.1 What is -0.0000004074 rounded to seven dps? -0.0000004 What is 0.0056254 rounded to 4 dps? 0.0056 What is 20.45 rounded to the nearest integer? 20 Round 5423900 to the nearest 10000. 5420000 Round -0.0001823 to 5 decimal places. -0.00018 Round -0.09613 to 2 decimal places. -0.1 What is -30.606 rounded to 1 dp? -30.6 Round -0.0000010759 to 7 dps. -0.0000011 Round 1.7347 to 1 decimal place. 1.7 What is -100810 rounded to the nearest 1000? -101000 What is -0.0000015804 rounded to seven dps? -0.0000016 Round -0.00008361 to 5 dps. -0.00008 What is 0.747 rounded to the nearest integer? 1 What is 0.5017 rounded to one dp? 0.5 Round 0.00000081413 to seven dps. 0.0000008 What is -6021 rounded to the nearest 1000? -6000 What is -706400 rounded to the nearest 10000? -710000 Round 0.91 to 1 decimal place. 0.9 Round -53.93 to the nearest integer. -54 Round -0.000038481 to 6 decimal places. -0.000038 Round 0.104204 to 4 dps. 0.1042 What is -41600 rounded to the nearest one thousand? -42000 Round 767.2 to the nearest ten. 770 Round 9.277 to one dp. 9.3 Round -5028 to the nearest 1000. -5000 Round -0.000102277 to seven decimal places. -0.0001023 What is 4.076 rounded to one dp? 4.1 What is 115431000 rounded to the nearest one hundred thousand? 115400000 What is 240.58 rounded to the nearest integer? 241 What is 7636000 rounded to the nearest one hundred thousand? 7600000 What is -12.082 rounded to the nearest integer? -12 Round 1800 to the nearest one hundred. 1800 What is -15994 rounded to the nearest one hundred? -16000 Round -9904.7 to the nearest one hundred. -9900 Round 0.00146023 to 5 dps. 0.00146 Round 0.001616 to 4 decimal places. 0.0016 What is -21.37 rounded to 0 dps? -21 Round 6278 to the nearest one hundred. 6300 What is -0.157 rounded to two decimal places? -0.16 What is 2391000 rounded to the nearest one hundred thousand? 2400000 Round 8021 to the nearest one hundred. 8000 Round -1143400 to the nearest 10000. -1140000 What is -0.0128893 rounded to 3 decimal places? -0.013 Round -19.53 to 0 decimal places. -20 Round -92600 to the nearest ten thousand. -90000 What is -6772 rounded to the nearest 10000? -10000 Round 1602250 to the nearest ten thousand. 1600000 Round 2433.9 to the nearest ten. 2430 Round -0.00110744 to 5 dps. -0.00111 What is 63720 rounded to the nearest 1000? 64000 Round 1814.6 to the nearest 100. 1800 What is 0.0005418 rounded to 4 decimal places? 0.0005 What is 5.2804 rounded to 0 dps? 5 Round 0.0011337 to 4 decimal places. 0.0011 What is -168.6 rounded to the nearest 10? -170 Round 0.00102 to 4 decimal places. 0.001 Round -166190 to the nearest 1000. -166000 What is 1714000 rounded to the nearest one million? 2000000 Round -27820000 to the nearest 1000000. -28000000 Round -0.00000096745 to 7 dps. -0.000001 What is 0.0049971 rounded to three decimal places? 0.005 What is 0.6743 rounded to three dps? 0.674 Round -155960 to the nearest one hundred thousand. -200000 What is -28.68 rounded to zero dps? -29 Round -0.0000043038 to 6 decimal places. -0.000004 Round -0.00052401 to four dps. -0.0005 Round 0.00000873 to six dps. 0.000009 Round -0.0171686 to 4 decimal places. -0.0172 What is 8.882 rounded to the nearest integer? 9 What is -0.0088784 rounded to five decimal places? -0.00888 Round -0.000010933 to 7 decimal places. -0.0000109 Round 0.1078 to three dps. 0.108 What is 0.00002364 rounded to seven decimal places? 0.0000236 Round 903630000 to the nearest 1000000. 904000000 Round -0.0004258 to four dps. -0.0004 What is 0.00000695 rounded to 6 dps? 0.000007 Round -0.0000043214 to seven dps. -0.0000043 What is 0.0229 rounded to three decimal places? 0.023 Round 2.957 to the nearest integer. 3 What is -0.00000346 rounded to 6 decimal places? -0.000003 Round 378.3 to the nearest 10. 380 What is 0.0015915 rounded to five dps? 0.00159 What is -102908000 rounded to the nearest one million? -103000000 Round 8800 to the nearest 1000. 9000 What is 44.769 rounded to 1 dp? 44.8 What is -0.000662 rounded to three decimal places? -0.001 Round 1109300 to the nearest ten thousand. 1110000 Round -1286.9 to the nearest ten. -1290 Round 642.12 to the nearest one hundred. 600 Round -19032000 to the nearest 100000. -19000000 Round -0.00817 to 3 dps. -0.008 What is 0.013688 rounded to three dps? 0.014 Round -3728000 to the nearest one hundred thousand. -3700000 What is 17.72 rounded to zero decimal places? 18 Round 0.2203 to 1 decimal place. 0.2 Round 16520 to the nearest ten thousand. 20000 Round -0.00003091 to 5 decimal places. -0.00003 What is -390.45 rounded to the nearest one hundred? -400 What is -13048000 rounded to the nearest 1000000? -13000000 What is 0.035274 rounded to 4 dps? 0.0353 Round -0.0000038067 to seven dps. -0.0000038 Round 2.028 to one decimal place. 2 Round -25867.5 to the nearest one thousand. -26000 Round 0.0014693 to four decimal places. 0.0015 What is -0.2753 rounded to two dps? -0.28 Round -0.0031736 to four decimal places. -0.0032 Round -608.67 to the nearest 10. -610 Round -294.7 to the nearest one hundred. -300 What is -262490 rounded to the nearest 1000? -262000 Round 0.00000386 to seven dps. 0.0000039 What is 0.0005069 rounded to 5 dps? 0.00051 What is -0.00028624 rounded to 4 decimal places? -0.0003 Round -527400 to the nearest one million. -1000000 What is 0.00002164 rounded to five decimal places? 0.00002 Round -14400000 to the nearest one million. -14000000 What is -4.133 rounded to one dp? -4.1 What is -0.0012869 rounded to three decimal places? -0.001 Round -11553 to the nearest one thousand. -12000 What is -10689800 rounded to the nearest 100000? -10700000 Round -523360 to the nearest 10000. -520000 Round -239500 to the nearest 100000. -200000 What is -217000 rounded to the nearest 100000? -200000 What is -152940 rounded to the nearest 100000? -200000 Round -0.000124036 to six decimal places. -0.000124 Round 0.000052939 to 6 dps. 0.000053 What is -4573000 rounded to the nearest 1000000? -5000000 What is 26889 rounded to the nearest one hundred? 26900 Round 0.040719 to three decimal places. 0.041 Round 6.679 to 1 decimal place. 6.7 Round 0.00007752 to five dps. 0.00008 What is -9.52 rounded to the nearest integer? -10 Round 0.00000055324 to seven dps. 0.0000006 Round 5.57768 to 2 decimal places. 5.58 Round 0.00807 to two decimal places. 0.01 What is 92980000 rounded to the nearest 1000000? 93000000 What is 3.92 rounded to one dp? 3.9 Round 231.12 to the nearest 10. 230 Round 0.000082051 to 7 decimal places. 0.0000821 What is 0.0000050638 rounded to 7 dps? 0.0000051 Round 0.96591 to 2 decimal places. 0.97 What is 82720 rounded to the nearest 1000? 83000 What is -0.000018791 rounded to 5 decimal places? -0.00002 What is 0.10988 rounded to 2 dps? 0.11 What is 1004000 rounded to the nearest one hundred thousand? 1000000 What is -1492600 rounded to the nearest one hundred thousand? -15000
{ "pile_set_name": "DM Mathematics" }
= 40*d - 3054. Give g(68). -334 Let h(s) = 610*s - 32356. Determine h(53). -26 Let m(f) = -1884*f - 24487. Determine m(-13). 5 Let q(l) = -8*l**3 + 3*l**2 + 30*l - 39. Calculate q(4). -383 Let q(f) = 1243*f**2 + 7499*f - 14. Calculate q(-6). -260 Let i(n) = -n**3 - 599*n**2 + 56602*n - 2746. What is i(-682)? -18 Let b(v) = 4*v**3 + 48*v**2 - 782*v - 544. Give b(-21). 2 Let b(p) = p**2 + 235*p + 13727. Calculate b(-122). -59 Let g(n) = 1771*n + 5352. What is g(-3)? 39 Let k(j) = -80459*j - 643654. Determine k(-8). 18 Let r(w) = -16*w**2 + 1062*w + 565. Calculate r(65). 1995 Let o(l) = -16*l**2 - 5314*l + 4824. What is o(-333)? 162 Let z(p) = 636*p - 968. Give z(8). 4120 Let b(q) = -q**3 - 60*q**2 + 838*q + 29169. What is b(-66)? -3 Let b(h) = h**3 - 80*h**2 + 117*h - 3307. Determine b(79). -305 Let n(j) = j**2 - 148*j + 5829. Give n(40). 1509 Let u(j) = 2*j**2 - 32*j - 2951. Give u(-25). -901 Let w(i) = -586*i - 254905. What is w(-435)? 5 Let a(g) = -1167*g + 58449. Calculate a(50). 99 Let i(f) = -5574*f + 1109219. Calculate i(199). -7 Let o(v) = v**3 - 34*v**2 - 454*v + 16653. Determine o(25). -322 Let t(z) = -6664*z + 113294. What is t(17)? 6 Let g(o) = -4*o**2 + 89*o + 1059. What is g(-14)? -971 Let v(t) = 249*t + 1268. What is v(-4)? 272 Let i(s) = 3*s**3 - 166*s**2 + 55*s + 117. Calculate i(55). 117 Let d(b) = -148*b + 909. Calculate d(6). 21 Let t(u) = -4*u**2 + 5748*u + 69558. Determine t(-12). 6 Let v(w) = w**3 - 334*w**2 - 370*w + 11929. Determine v(335). 204 Let o(s) = -392*s + 54948. Calculate o(138). 852 Let y(s) = -49257*s - 886412. What is y(-18)? 214 Let l(j) = -8*j**2 + 476*j - 3664. Calculate l(8). -368 Let i(s) = -s**3 - 4*s**2 + 390*s - 122. Calculate i(-22). 10 Let w(p) = -82*p**3 - 9*p**2 + 715*p + 1461. Determine w(-2). 651 Let o(k) = k**2 + 26118*k - 130615. Calculate o(5). 0 Let k(q) = q**3 + 15*q**2 - 6650*q - 7508. What is k(75)? -8 Let x(u) = -2*u**2 - 44*u + 93. Determine x(-15). 303 Let m(i) = -7*i**3 - 304*i**2 - 2071*i - 201. Give m(-35). 9 Let j(s) = 541*s**2 - 158509*s - 1173. Calculate j(293). -1 Let n(w) = 11774*w + 2919953. Calculate n(-248). 1 Let f(a) = -11*a**2 - 25*a - 205. Calculate f(9). -1321 Let v(s) = -5649*s - 83533. Calculate v(-15). 1202 Let i(p) = 2*p**2 - 105*p - 14049. Determine i(114). -27 Let r(a) = 2750497*a + 24754463. Calculate r(-9). -10 Let y(w) = 42996*w**2 - 300962*w - 61. Determine y(7). 9 Let a(i) = -1937*i + 629513. Determine a(325). -12 Let f(n) = n**3 - 86*n**2 - 220*n + 25903. Calculate f(85). -22 Let t(b) = -5*b**3 - 42*b**2 + 1051*b + 9212. Calculate t(-9). -4 Let z(l) = 5977*l - 1548034. Calculate z(259). 9 Let d(a) = a**3 - 88*a**2 - 776*a - 81. Determine d(-8). -17 Let w(g) = 1868*g + 1511282. Give w(-809). 70 Let c(l) = -84*l - 2878. Give c(-20). -1198 Let p(d) = d**2 - 454*d - 293047. Give p(814). -7 Let s(y) = 144*y - 3888. Calculate s(24). -432 Let h(q) = -838*q + 258099. Give h(308). -5 Let g(m) = 170*m + 4114. Calculate g(-24). 34 Let r(k) = 17079*k + 2613092. Determine r(-153). 5 Let o(f) = f**3 + 393*f**2 - 4886*f + 309. Calculate o(12). -3 Let h(l) = -914*l + 4336. Determine h(5). -234 Let x(r) = -28035*r + 308335. What is x(11)? -50 Let f(n) = -42376*n + 5254637. Calculate f(124). 13 Let w(u) = 32*u**2 - 53697*u + 1685. What is w(1678)? 7 Let d(y) = 146*y - 466. Give d(5). 264 Let g(m) = 13*m**2 - 122*m + 528. Calculate g(4). 248 Let n(f) = -14*f**3 + 834*f**2 + 1667*f + 2. Give n(-2). 116 Let b(r) = r**2 + 114*r - 4659. Calculate b(32). 13 Let s(x) = -1877*x - 22560. What is s(-12)? -36 Let q(v) = -35*v + 1454. What is q(-50)? 3204 Let i(k) = -2675*k**2 - 2525*k + 12. Give i(-1). -138 Let m(f) = 88*f**2 - 831*f + 7. What is m(9)? -344 Let p(z) = -z**3 + 45*z**2 - 233*z - 1067. What is p(10)? 103 Let d(j) = -j**2 + 119*j + 13180. Calculate d(-70). -50 Let a(j) = -15*j**2 + 3460*j + 4643. Calculate a(232). 3 Let n(l) = -2*l**2 - 156961*l + 1569730. Calculate n(10). -80 Let a(u) = -13*u**3 - 1354*u**2 - 187*u + 2151. Determine a(-104). -33 Let m(w) = 53*w + 3936. What is m(-82)? -410 Let c(h) = 1552*h - 35631. Calculate c(23). 65 Let g(q) = 12326*q - 1602326. Give g(130). 54 Let l(z) = -40*z**2 + 9388*z - 28155. Calculate l(3). -351 Let b(c) = -c**2 + 138*c - 4518. What is b(86)? -46 Let v(m) = 33*m**2 - 26*m - 30. What is v(-3)? 345 Let s(a) = -3*a**2 - 8428*a + 255318. What is s(30)? -222 Let f(g) = 354*g + 37306. Give f(-105). 136 Let l(t) = 4*t**2 - 187*t - 29794. Give l(-66). -28 Let z(l) = -46*l**2 + 344*l + 2017. What is z(-7)? -2645 Let g(v) = v**3 - 35*v**2 - 169*v + 380. Calculate g(39). -127 Let b(c) = 76*c**2 - 526*c + 737. Calculate b(5). 7 Let o(d) = -1221*d - 58130. Give o(-48). 478 Let g(p) = -p**3 + 13*p**2 - 74*p + 1109. Give g(14). -123 Let r(d) = d**2 + 74*d + 1059. Determine r(-53). -54 Let u(b) = -13*b**3 + 102*b**2 - 60*b - 123. Calculate u(7). -4 Let s(z) = -z**3 - z**2 - 674*z - 4218. Calculate s(-6). 6 Let l(s) = s**3 + 14*s**2 + 199*s + 1689. Give l(-10). 99 Let d(p) = -4172*p - 2357182. Determine d(-565). -2 Let d(i) = 2160*i - 645851. Determine d(299). -11 Let d(b) = -10*b**2 + 18847*b - 18846. What is d(1)? -9 Let z(u) = -12*u**3 + 7*u**2 + 502*u - 1008. Calculate z(2). -72 Let k(q) = 11*q**2 - 746*q + 743. Determine k(1). 8 Let y(t) = -5911*t + 24046. What is y(4)? 402 Let i(x) = 570*x - 1092. What is i(2)? 48 Let v(l) = l**2 + 3560*l + 71740. Determine v(-20). 940 Let d(z) = 24532*z - 49085. What is d(2)? -21 Let v(b) = 137*b**2 + 281*b - 60. Give v(-3). 330 Let i(y) = 12*y**2 - 79*y + 208. Give i(21). 3841 Let a(k) = -156*k + 42117. Give a(270). -3 Let c(m) = -4*m**3 - 545*m**2 - 141*m - 616. Determine c(-136). 64 Let v(u) = 260*u + 10047. Determine v(-38). 167 Let r(s) = 35*s**2 + 16*s - 28. Give r(1). 23 Let o(h) = -h**3 - 58*h**2 - 763*h + 170. Calculate o(-38). 284 Let m(k) = -3507*k - 52278. Determine m(-15). 327 Let s(p) = 414*p + 465. What is s(-1)? 51 Let f(n) = 5*n**2 + 785*n - 686. What is f(-154)? -2996 Let z(g) = -2906*g + 31982. Determine z(11). 16 Let v(o) = -5*o**3 + 183*o**2 - 459*o - 203. What is v(3)? -68 Let n(y) = -5*y**2 - 236*y - 167. What is n(-46)? 109 Let g(t) = -17072*t - 153647. Calculate g(-9). 1 Let r(k) = 57*k + 3211. Give r(-77). -1178 Let i(r) = 527220*r + 1054444. Calculate i(-2). 4 Let h(i) = -26147*i + 209226. Determine h(8). 50 Let k(a) = 60*a + 1236. Determine k(-21). -24 Let x(n) = 488*n - 10808. Calculate x(22). -72 Let n(a) = 8*a**2 + 2536*a + 31643. Calculate n(-13). 27 Let x(b) = -7*b**2 - 1769*b - 44073. Give x(-28). -29 Let z(g) = g**2 + 7069*g + 77657. Give z(-11). 19 Let g(l) = l**3 + 3*l**2 - 43827*l - 262863. Calculate g(-6). -9 Let d(r) = 3*r**3 + 78*r**2 - 30*r - 632. What is d(-25)? 1993 Let w(z) = z**3 + 21*z**2 + 3*z - 807. What is w(-17)? 298 Let x(l) = 4*l**2 + 1040*l + 3327. What is x(-257)? 243 Let q(y) = -60*y**3 + 1138*y**2 + 417*y - 7176. Determine q(19). 25 Let b(k) = 2442*k**2 - 41518*k - 33. Calculate b(17). -101 Let h(o) = 6*o**3 - 685*o**2 + 100*o - 424. What is h(114)? -2020 Let d(n) = 4872*n - 1174157. Determine d(241). -5 Let v(s) = s**3 + 56*s**2 + 728*s + 933. Determine v(-14). -1027 Let f(a) = a**2 - 3*a - 2658. Calculate f(52). -110 Let y(q) = 2991*q**3 + 17*q**2 - 8*q - 25. Give y(-1). -2991 Let q(a) = -494*a + 116590. What is q(236)? 6 Let n(s) = -2501*s + 262552. What is n(105)? -53 Let m(f) = 2*f**3 + 157*f**2 - 2024*f - 13. Determine m(12). 1763 Let k(w) = 10*w**2 + 1553*w - 1551. What is k(1)? 12 Let u(l) = 102*l**2 + 633*l + 56. Calculate u(-6). -70 Let g(b) = 416*b**3 + 2*b**2 - 225*b + 437. Give g(2). 3323 Let s(o) = -129*o**2 + 103*o + 191. What is s(-2)? -531 Let z(a) = 3458*a - 1937. Give z(1). 1521 Let q(h) = h**2 - 1837*h + 116909. Calculate q(66). 23 Let d(j) = j**3 + 79*j**2 - 5144*j - 407373. Calculate d(-78). -57 Let j(n) = 2*n**3 + 21*n**2 - 3175*n - 12. What is j(35)? 338 Let a(c) = 2*c**3 - 24*c**2 + 2492*c - 22168. Give a(9). -226 Let i(u) = u**2 + 1878*u - 208257. Determine i(105). -42 Let z(f) = -f**3 + 16*f**2 + 124*f - 949. What is z(16)? 1035 Let b(a) = -199*a**2 + 1217*a - 45. Determine b(6). 93 Let i(z) = -z**3 + 12*z**2 + 9*z - 35. Give i(3). 73 Let d(f) = -f**3 - 156*f**2 - 493*f - 5196. Determine d(-153). 6 Let p(v) = 8277*v -
{ "pile_set_name": "DM Mathematics" }
What is the sixth root of 472398306 to the nearest integer? 28 What is the square root of 1393596 to the nearest integer? 1181 What is the ninth root of 149572621 to the nearest integer? 8 What is the third root of 112641050 to the nearest integer? 483 What is the fifth root of 233107777 to the nearest integer? 47 What is the square root of 99163470 to the nearest integer? 9958 What is 4052282 to the power of 1/5, to the nearest integer? 21 What is the fifth root of 29985764 to the nearest integer? 31 What is 63648393 to the power of 1/2, to the nearest integer? 7978 What is the square root of 59059948 to the nearest integer? 7685 What is the sixth root of 32197439 to the nearest integer? 18 What is the tenth root of 1259851833 to the nearest integer? 8 What is 572929086 to the power of 1/5, to the nearest integer? 56 What is 37864597 to the power of 1/4, to the nearest integer? 78 What is 342581684 to the power of 1/2, to the nearest integer? 18509 What is the cube root of 687851922 to the nearest integer? 883 What is 149756653 to the power of 1/3, to the nearest integer? 531 What is 4012645408 to the power of 1/3, to the nearest integer? 1589 What is 909577409 to the power of 1/2, to the nearest integer? 30159 What is the square root of 222359858 to the nearest integer? 14912 What is 87889549 to the power of 1/2, to the nearest integer? 9375 What is 50246944 to the power of 1/2, to the nearest integer? 7089 What is 3522484929 to the power of 1/5, to the nearest integer? 81 What is 39960615 to the power of 1/3, to the nearest integer? 342 What is the square root of 8614071540 to the nearest integer? 92812 What is 424192744 to the power of 1/3, to the nearest integer? 751 What is the tenth root of 68639867 to the nearest integer? 6 What is the square root of 174221926 to the nearest integer? 13199 What is the cube root of 141327383 to the nearest integer? 521 What is the ninth root of 142963154 to the nearest integer? 8 What is the square root of 44865368 to the nearest integer? 6698 What is the square root of 2958328905 to the nearest integer? 54391 What is the cube root of 46285441 to the nearest integer? 359 What is the sixth root of 25781954 to the nearest integer? 17 What is 3559511502 to the power of 1/9, to the nearest integer? 12 What is 2753025130 to the power of 1/8, to the nearest integer? 15 What is 1801803220 to the power of 1/3, to the nearest integer? 1217 What is the square root of 853413012 to the nearest integer? 29213 What is 875719017 to the power of 1/10, to the nearest integer? 8 What is the square root of 60178502 to the nearest integer? 7757 What is 170244965 to the power of 1/2, to the nearest integer? 13048 What is 100855585 to the power of 1/2, to the nearest integer? 10043 What is the square root of 2172741552 to the nearest integer? 46613 What is the third root of 137005098 to the nearest integer? 516 What is 1264994140 to the power of 1/2, to the nearest integer? 35567 What is the third root of 130417484 to the nearest integer? 507 What is 271886907 to the power of 1/10, to the nearest integer? 7 What is the fifth root of 504473754 to the nearest integer? 55 What is 73079654 to the power of 1/7, to the nearest integer? 13 What is the cube root of 47579984 to the nearest integer? 362 What is 189165018 to the power of 1/2, to the nearest integer? 13754 What is the square root of 64051386 to the nearest integer? 8003 What is 67793520 to the power of 1/2, to the nearest integer? 8234 What is 88514159 to the power of 1/3, to the nearest integer? 446 What is the seventh root of 7314629 to the nearest integer? 10 What is 993188614 to the power of 1/2, to the nearest integer? 31515 What is the third root of 873046896 to the nearest integer? 956 What is the square root of 85272234 to the nearest integer? 9234 What is the square root of 206245027 to the nearest integer? 14361 What is 68599429 to the power of 1/10, to the nearest integer? 6 What is the fifth root of 88810570 to the nearest integer? 39 What is 212198299 to the power of 1/7, to the nearest integer? 15 What is the square root of 146011727 to the nearest integer? 12084 What is 415731949 to the power of 1/6, to the nearest integer? 27 What is the sixth root of 347683441 to the nearest integer? 27 What is the third root of 143752127 to the nearest integer? 524 What is the third root of 1194624022 to the nearest integer? 1061 What is the sixth root of 69581314 to the nearest integer? 20 What is 5282842728 to the power of 1/7, to the nearest integer? 24 What is the cube root of 1193243815 to the nearest integer? 1061 What is 438659999 to the power of 1/10, to the nearest integer? 7 What is the square root of 881542302 to the nearest integer? 29691 What is the sixth root of 83605432 to the nearest integer? 21 What is the cube root of 790298248 to the nearest integer? 925 What is the third root of 18177715 to the nearest integer? 263 What is 27457586 to the power of 1/2, to the nearest integer? 5240 What is the tenth root of 2400500 to the nearest integer? 4 What is 32315686 to the power of 1/3, to the nearest integer? 319 What is the cube root of 45748716 to the nearest integer? 358 What is 599069663 to the power of 1/5, to the nearest integer? 57 What is 167734855 to the power of 1/2, to the nearest integer? 12951 What is the fifth root of 3957169682 to the nearest integer? 83 What is the square root of 1859812478 to the nearest integer? 43126 What is the seventh root of 57247036 to the nearest integer? 13 What is 4905312950 to the power of 1/6, to the nearest integer? 41 What is 1347388289 to the power of 1/3, to the nearest integer? 1104 What is 174585110 to the power of 1/8, to the nearest integer? 11 What is the seventh root of 6192191 to the nearest integer? 9 What is 1097441969 to the power of 1/3, to the nearest integer? 1031 What is the third root of 82310237 to the nearest integer? 435 What is the square root of 31873496 to the nearest integer? 5646 What is 118899548 to the power of 1/7, to the nearest integer? 14 What is the third root of 1062504637 to the nearest integer? 1020 What is 967229521 to the power of 1/9, to the nearest integer? 10 What is the eighth root of 589580813 to the nearest integer? 12 What is the third root of 695304424 to the nearest integer? 886 What is the sixth root of 1166972230 to the nearest integer? 32 What is the tenth root of 29095507 to the nearest integer? 6 What is the seventh root of 796886152 to the nearest integer? 19 What is 3158487466 to the power of 1/2, to the nearest integer? 56200 What is 1096048460 to the power of 1/5, to the nearest integer? 64 What is the cube root of 8667019313 to the nearest integer? 2054 What is 61112191 to the power of 1/2, to the nearest integer? 7817 What is the fifth root of 217553294 to the nearest integer? 47 What is 1737381653 to the power of 1/2, to the nearest integer? 41682 What is 82117631 to the power of 1/2, to the nearest integer? 9062 What is 121675712 to the power of 1/7, to the nearest integer? 14 What is the cube root of 1136762025 to the nearest integer? 1044 What is 5741970624 to the power of 1/7, to the nearest integer? 25 What is the cube root of 1359508944 to the nearest integer? 1108 What is 89987571 to the power of 1/3, to the nearest integer? 448 What is 122895081 to the power of 1/2, to the nearest integer? 11086 What is the third root of 17319980 to the nearest integer? 259 What is the third root of 2260300164 to the nearest integer? 1312 What is the square root of 260090376 to the nearest integer? 16127 What is 45319262 to the power of 1/2, to the nearest integer? 6732 What is 30392480 to the power of 1/2, to the nearest integer? 5513 What is 266194119 to the power of 1/2, to the nearest integer? 16315 What is 78873554 to the power of 1/3, to the nearest integer? 429 What is the cube root of 394790794 to the nearest integer? 734 What is 84194773 to the power of 1/3, to the nearest integer? 438 What is the square root of 70627101 to the nearest integer? 8404 What is the square root of 82355571 to the nearest integer? 9075 What is the cube root of 1841832589 to the nearest integer? 1226 What is 849756528 to the power of 1/4, to the nearest integer? 171 What is
{ "pile_set_name": "DM Mathematics" }
0.04 What is the smallest value in -3, 0.08, 1.5, -62? -62 Which is the fourth smallest value? (a) 0.3 (b) 41466 (c) 0 (d) -0.3 b Which is the third biggest value? (a) 0 (b) -0.21 (c) -8 (d) -0.1 (e) 1 (f) 10 a Which is the third biggest value? (a) 4 (b) -13/7 (c) -36 c What is the fifth biggest value in -0.03, 1.4, 2/9, -8, 0.09? -8 Which is the fifth smallest value? (a) 5 (b) 1/6 (c) 88 (d) -0.1635 (e) 2 c Which is the fourth smallest value? (a) -3/5 (b) 10/3 (c) 102 (d) 1/4 c Which is the third smallest value? (a) 1/3 (b) -796 (c) 0.1 a Which is the third biggest value? (a) 28/5 (b) -0.2 (c) -226/9 c Which is the second biggest value? (a) -4 (b) -0.1 (c) 293/1382 b Which is the second biggest value? (a) 4/9 (b) -3/5 (c) -268 (d) -0.3 (e) -0.2 (f) 4 a Which is the fourth smallest value? (a) 0.05 (b) 0.3 (c) -1 (d) -5 (e) -56 a What is the fourth smallest value in 0.1, 40, 0.7, -2/7? 40 Which is the third biggest value? (a) -10 (b) -0.1 (c) -3 (d) 2/11 (e) 11/2 b Which is the third biggest value? (a) -0.13 (b) 8/5 (c) 2/9 a What is the fourth biggest value in -2/13, 1, -110, -64? -110 Which is the second smallest value? (a) 1/3 (b) 11/2 (c) 4477 b What is the smallest value in -10, 5, -1/8, 124, 4, 0.2? -10 Which is the third smallest value? (a) -1 (b) 2 (c) -17 (d) 2/57 (e) 1/3 (f) 12 d Which is the fourth smallest value? (a) 3 (b) -1/7 (c) -60 (d) 0.3 (e) -14 (f) -0.4 b Which is the second biggest value? (a) -112 (b) 18/29 (c) -2/19 c Which is the smallest value? (a) -1.6 (b) 8 (c) 0.9 (d) 2 (e) -1/6 a What is the biggest value in 3, 1, 2/7, -3, 25/73? 3 Which is the third smallest value? (a) 3/32183 (b) 0.3 (c) -1/9 b What is the sixth biggest value in 52, 0.4, 5, -0.07, 4, -2? -2 Which is the second smallest value? (a) 3/14 (b) -0.16 (c) 1/438 c What is the second smallest value in -2/25, 0.07, -280? -2/25 Which is the second smallest value? (a) -425 (b) -0.015 (c) 2/11 (d) -3/8 d What is the third biggest value in 2/5, -0.15009, 1/3? -0.15009 What is the fourth biggest value in 4, -2/43, -20.87, -1, 0.3? -1 Which is the biggest value? (a) 213 (b) -2 (c) -162 a Which is the third smallest value? (a) -15/79 (b) -2 (c) 3/4 c Which is the third smallest value? (a) 25 (b) 8/57 (c) 0 (d) -2/7 b Which is the biggest value? (a) 3/5 (b) 4/161 (c) -1 (d) 0.5 (e) 1/23 (f) 0.4 a Which is the second biggest value? (a) 4 (b) 7/24 (c) -4/9 (d) 0.1 (e) 8 a Which is the smallest value? (a) 4 (b) -13270 (c) 15 b Which is the biggest value? (a) 0.4 (b) 4 (c) -12656 (d) -4 b Which is the second smallest value? (a) 5 (b) -1/7 (c) -25/12 (d) -0.3 d What is the third biggest value in 0.08, -2/5, 1, 3, 893? 1 What is the fourth biggest value in 2/5, -46/5, -4/3, 5, 0.5? -4/3 Which is the fifth smallest value? (a) 1/8 (b) -0.5 (c) 0.07 (d) 340 (e) 5 d What is the biggest value in -1, -2, -288? -1 Which is the second biggest value? (a) 1/3 (b) -0.5 (c) -4/33 c Which is the fifth biggest value? (a) 12/7 (b) -2 (c) 3/2 (d) -940 (e) 5 d What is the smallest value in -5, 2, -50/9, -0.5, 23? -50/9 What is the third smallest value in -75, -66, -3? -3 Which is the fourth biggest value? (a) -0.4 (b) 0 (c) 7 (d) -0.1 (e) 5/171 d What is the second biggest value in 2/17, -2, -11, -0.017, 0, -3? 0 What is the fifth smallest value in -1/21, 3, 0, 2, -0.162? 3 What is the fourth smallest value in -1/25, -0.5, -3, -2989? -1/25 Which is the fourth biggest value? (a) 2/229 (b) 0.08 (c) -3 (d) -2/5 (e) 0 d Which is the smallest value? (a) -7457 (b) 1/6 (c) -2 a What is the biggest value in 4/9, -3/5, -62, 0.3, 2, -4/7? 2 What is the third biggest value in -4, 14, 0.05, 2/11, -73.6? 0.05 Which is the third smallest value? (a) 1 (b) 15 (c) 11/21 (d) 7 d Which is the third smallest value? (a) 33064 (b) -1/2 (c) 22/7 a What is the smallest value in -1/2, -624, 9/16? -624 Which is the fourth smallest value? (a) -1/3 (b) 5 (c) 11 (d) -89 (e) -1 b Which is the biggest value? (a) 2 (b) 12 (c) -6483 b What is the third smallest value in 2/7, -16/5, 17, -4, 0, -5? -16/5 Which is the second biggest value? (a) -139 (b) 1/10 (c) 2/647 (d) 6 b What is the fifth biggest value in -5.9, 0, -6, -0.1, -3/7? -6 What is the smallest value in 0.2, -11/31122, 1/2? -11/31122 What is the smallest value in 0, -3/2, 0.06, -10, -4? -10 Which is the third biggest value? (a) -2/7 (b) -1.38 (c) 40 (d) -0.5 (e) 3/157 (f) -1 a Which is the biggest value? (a) 0 (b) 1635 (c) 5 b What is the fourth smallest value in 6, 0.28, -21, 3, 0.4? 3 What is the second biggest value in -1, 5/4, 0.2, -1/3, 0, 8? 5/4 Which is the fourth biggest value? (a) 10 (b) -0.11 (c) 0 (d) 3 b What is the fifth biggest value in 41799, 5, 3/4, 0, -1/3? -1/3 What is the third smallest value in 0.3, 12/17, 1/4, 5, -26? 0.3 Which is the third smallest value? (a) -10/27 (b) -2 (c) -1/4 (d) -6 (e) -2/19 (f) 0 a What is the fifth smallest value in 1, -5, 1/2, -4, -61? 1 What is the second biggest value in 4, -23404, 3/13? 3/13 What is the third biggest value in 0, 1/5, 1, -5/14? 0 What is the fifth smallest value in -1/4, 3, 0.09, 4/7, 0.3, -18/11? 4/7 Which is the smallest value? (a) -0.1 (b) -127 (c) -0.2 (d) 28 (e) 5 b Which is the third biggest value? (a) -1 (b) 0.1 (c) 7370 a Which is the third smallest value? (a) -264 (b) 0.19 (c) 2/25 (d) 0.1 (e) 4 d What is the fourth biggest value in 41, 2, 1, -2/41, 2/3? 2/3 Which is the third smallest value? (a) 5 (b) -1/3 (c) -5160 a Which is the third biggest value? (a) -375 (b) 30/7 (c) 0.4 a Which is the biggest value? (a) -8.1 (b) 4 (c) 2579 c What is the third biggest value in -3/19, -0.2, -100, 4, -2? -0.2 Which is the smallest value? (a) 337 (b) 2/7 (c) -0.091 c What is the second smallest value in 0.1, -0.2, -2/41, 0.7, -0.021? -2/41 What is the fifth biggest value in 2/5, -3, 4/5, 589, -44? -44 What is the biggest value in -3, 1, 1/4593? 1 What is the second smallest value in 0.2, 3.3, -3.7, -0.2? -0.2 Which is the fifth smallest value? (a) 0.5 (b) 15 (c) 1/20 (d) 0.3 (e) -1/4 (f) -0.03 a What is the smallest value in 6, 3, 0.1, 0.105? 0.1 What is the second smallest value in 0.2, -2/5, -0.2, 0.06, -834? -2/5 Which is the sixth smallest value? (a) -0.5 (b) 0.4 (c) 4 (d) 0 (e) -2/11 (f) 11/5 c Which is the third biggest value? (a) 7/564 (b) -4 (c) -10 c Which is the third biggest value? (a) -0.299 (b) -1/11 (c) 1 (d) 2 (e) 0.5 e What is the biggest value in -3, -47, -145, 10, -4? 10 What is the third biggest value in -4, -0.5, 0.188, 63? -0.5 Which is the sixth biggest value? (a) -2389 (b) 0 (c) 4/5 (d) 2 (e) -2 (f) 14 a What is the fifth smallest value in 0.3, 0.05, -0.03, 1, -5.5? 1 Which is the third smallest value? (a) 102/61 (b) 9 (c) -3/8 (d) -3 (e) 2/17 (f) 1/4 e What is the second smallest value in 0.04, 21, 3/100? 0.04 Which is the smallest value? (a) -0.1 (b) -635 (c) 1/5 b Which is the sixth biggest value? (a) 2/37 (b) -0.01 (c) 3 (d) -0.5 (e) 9 (f) -209 f What is the biggest value in -5/2, 2, -45, 1, 0.1, -7? 2 What is the fourth biggest value in -2/3, -3/2, -4/3, 4, -10/3? -3/2 Which is the fifth smallest value? (a) -3 (b) -0.5 (c) 0.3 (d) -3/2 (e) -49 c What is the smallest value in -15, -2/17, -1, 0.3, 30? -15 Which is the third biggest value? (a) -0.4 (b) -4 (c) -3 (d) 0.0422 (e) 5/3 (f) -2/9 f Which is the third smallest value? (a) 8 (b) -25 (c) 0.2 a Which is the fourth smallest value? (a) -4 (b) 2/5 (c) 113 (d) -1/3 c Which is the third biggest value? (a) 3 (b) 1 (c) 2 (d) -1/35 (e) 9 (f) 0.5 c What is the third smallest value in 62.9, 2, 6? 62.9 Which is the third smallest value? (a) 7 (b) -0.3 (c) -1.632 a Which is the biggest value? (a) 3 (b) 26 (c) -0.4 (d) 5 (e) 1/2 (f) 0.7 b Which is the fourth smallest value? (a) -3 (b) 3 (c) 0.1 (d) -2/3 (e) 0 c Which is the biggest value? (a) -45/13 (b) 0.7 (c) 0.04 b What is the fifth biggest value in 0, -5, -70, -1, -67/4? -70 Which is the fifth biggest value? (a) -0.132 (b) 2/9 (c) 15 (d) -4 (e) -2/9 d What is the second biggest value in 0
{ "pile_set_name": "DM Mathematics" }
/d)/(1 + 1). Let x = -0.8 + 0.7. Which is the second biggest value? (a) x (b) t (c) -3 a Let o = -0.02 + 3.02. Let q = o - 0. What is the second smallest value in 5, q, 0.5? q Let n = 8/5 - 6/5. Let u = 3/137267 - -1066423/1647204. Let m = u + 1/52. What is the biggest value in 4, n, m? 4 Let u = -3.942 + -0.058. Which is the third biggest value? (a) 0.2 (b) u (c) 0.04 (d) 4 c Let u = 89/6 - 31/2. Let o = 9/4 + -109/52. Which is the second biggest value? (a) u (b) o (c) 5 b Let z = 831/17 - 49. Which is the biggest value? (a) -1 (b) 4 (c) z (d) -2/9 b Let d be (-9876)/(-90)*3/2. Let o = -164 + d. Which is the second biggest value? (a) -0.1 (b) 0.3 (c) o b Let m be ((-16)/(-18) - 5) + 4. What is the second biggest value in -5, 4, m, 5? 4 Let b be (-172)/(-36) - 2/(-9). Let f = -3.4 - -3. What is the biggest value in f, b, -5/4? b Let o = -17 + 9. Let r = -39.5 - -32. Let m = r - o. Which is the second biggest value? (a) m (b) -2/17 (c) -3/7 b Let g(d) = -d**2 + 8*d + 46. Let m be g(12). Let a(n) = -3*n**2 + n - 1. Let f be a(1). What is the second biggest value in -4/3, m, f? m Let q = 88.5 - 88. Let z = -3/38 - -139/798. Which is the third biggest value? (a) q (b) z (c) -3/4 c Let q = -41 + 371/9. Let j = 16 - 35/2. Let t = 342/5 - 69. Which is the third smallest value? (a) t (b) j (c) q c Let n be (8/12)/(0 - -1). Which is the second smallest value? (a) n (b) -5 (c) -15 b Let u = 11 + -7. Let i = 2.5 + -2. Let m = 1 - i. Which is the second smallest value? (a) 0 (b) u (c) m c Suppose 4*f + 16 = -0*f - 4*j, 0 = j. What is the second smallest value in 0.2, 0, f? 0 Let h be (2/3)/(126/(-27) + 4). What is the fourth smallest value in 6, 0.5, -5, h? 6 Suppose -12 = -2*x - 4*j, -4*j + 16 = 4*x - 0*x. Let k be 2/(-5) - x/(-10). Which is the second smallest value? (a) k (b) 0 (c) 4 b Suppose g - 6*g - 15 = 0. Let s be 24/15 + g + 1. Suppose -5*l - 21 = -1. Which is the second smallest value? (a) -5 (b) l (c) s b Suppose -2 = 3*q - 2*q. What is the third smallest value in -0.4, 1, q? 1 Let b = 13 - 18. Let k = 14/23 - 143/46. What is the second biggest value in k, b, 4? k Let g = -55.8 - -56. Let b = -14 + 8. Let r be 7/(-6) + (-4)/b. What is the second smallest value in r, -1/8, g? -1/8 Let w(q) = -q - 1. Let h = 5 - 9. Let i be w(h). Which is the smallest value? (a) i (b) -2 (c) 0.1 b Let y = 414498754/651 + -636711. Let m = y - -2/93. Let s = 0.9 - 3.9. Which is the smallest value? (a) 4 (b) s (c) m b Let l = 15.81 + 0.19. Let j = l + -16.38. Let y = -0.02 + j. Which is the smallest value? (a) y (b) -1 (c) 0.4 b Suppose 3*f = -197 + 71. Let m be 6/42 + (-8)/f. Which is the biggest value? (a) -1 (b) m (c) 0.5 c Let g = -134 + 138. Let h = 1 + 0. Let v = h - 1.2. What is the third smallest value in g, 5, v? 5 Let d be ((-6)/(-14))/(69/46). Which is the biggest value? (a) d (b) 3 (c) -0.05 b Let i = -0.02 - -0.01. Let t = i + -0.08. Let h = 0.91 - t. Which is the smallest value? (a) -5/4 (b) 1/6 (c) h a Let j = 9/86 - 521/6622. Let f = 61/616 + j. What is the third smallest value in f, 0.4, 3? 3 Let u = -0.18 + 5.18. What is the second smallest value in -0.1, u, 0.1? 0.1 Let u = 7.4 - 13.1. Let c = 6 + u. What is the biggest value in c, 1/3, -0.3? 1/3 Let g = 79 + -80. Which is the third smallest value? (a) 4 (b) -2 (c) g (d) 3 d Let k be 4*(-2 + 26/12). Let w(u) = u + 2. Let g be w(3). Which is the third smallest value? (a) g (b) k (c) 1/2 a Let j = 1.5 + -0.5. Which is the third biggest value? (a) -4 (b) j (c) -3 a Let h = 22 + -21.8. Which is the second biggest value? (a) 1 (b) h (c) -2/3 b Suppose 6*w = 2*w + 8. Suppose 3*i - 3 = u, -u - w*i + 3 - 1 = 0. Which is the second biggest value? (a) -2 (b) u (c) 2/5 b Let m = -6.21 - -6. Let l = 7.21 + m. Let n = -3196/13 - -246. What is the second smallest value in l, n, -0.2? n Let d = 2 + -3. Let s = 0.5 + -4.5. What is the second biggest value in s, d, 0.2? d Let g = -45 + 223/5. What is the third smallest value in g, 4, -0.2? 4 Let v = -5128/15 - -342. Let i = -8/15 - v. What is the third biggest value in i, 3, -0.5? i Let x = -0.0087 + 3.1417. Let t = x + -0.163. Let r = t + 0.03. Which is the second biggest value? (a) -5 (b) 1 (c) r b Let k = -0.17 + 0.1. Let m = 52.93 + -54. Let s = m - k. Which is the smallest value? (a) -0.5 (b) s (c) 3/2 b Let d be (-1)/(-3) - 52/84. Let g be ((-6)/(-4) - 2)*0. What is the third biggest value in 1/2, d, g? d Let l = 15 - 12. What is the third biggest value in -5, 0.1, l? -5 Let p(w) = w**3 + 9*w**2 + 5*w - 9. Let u be p(-8). Suppose 7*l = 2*l + u. Let r = -0.9 + 4.9. What is the third biggest value in l, 2, r? 2 Let s be ((-3)/4)/((-66)/(-20)). Let m = s + -19/110. Which is the smallest value? (a) m (b) 5 (c) 1 a Let r(i) = -i - 11. Let v be r(-5). Let u = -4 - v. Suppose 3*o - 2*o + u = 0. Which is the biggest value? (a) 2/9 (b) o (c) 1 c Let w = 250 + -603. Let m = 3181/9 + w. Let l = -3.1 - 0.9. What is the third biggest value in -2/5, m, l? l Suppose -3*m - 6 = 3*w, -3*w - 4 = 2. Suppose -5*g = -0*g + 1140. Let k = g - -2050/9. Which is the third smallest value? (a) -4 (b) k (c) m c Let z = -0.007 + 6.907. Let m = z + -7. What is the third biggest value in m, 4, -0.4? -0.4 Let g = 12 + -83/7. Let l(x) = -x**2 + 21*x + 2. Let m be l(21). Let y = -1/93 - -67/465. Which is the second biggest value? (a) m (b) y (c) g c Let i = -1 - -4. Let z = i - 2.8. Suppose 20 = 4*w + 4. What is the second smallest value in w, z, -5? z Let i = -13 + 10. Which is the third biggest value? (a) i (b) 0.3 (c) 2 a Let k = 20.4 + -18.4. What is the second smallest value in k, -0.4, -4, -2/15? -0.4 Let d = -3.4 - -4.7. Let i = d - 1.5. Which is the biggest value? (a) 0.3 (b) -2 (c) i a Let k be (-4)/(-24) + (-25)/141. Let n = 99/470 + k. Let d = -1.9 - 0.1. Which is the third biggest value? (a) d (b) n (c) -2/19 a Let a = -0.022 - -0.222. What is the third biggest value in -4, a, -2/9? -4 Let u = 0.2 - 0. Let m = -257 - -252. Which is the third smallest value? (a) -1 (b) m (c) u c Let n = 8/3 - 25/9. Let h = 1.92 - 2. Let f = h - -5.08. What is the third smallest value in f, 0, n? f Suppose 0 = 4*k + 3*w + 22, 5*k - 2*w + 3*w + 22 = 0. Let a be 2*2/k + -1. What is the smallest value in a, 0.06, -5? -5 Let f = 11.5 - 0.5. Let u = 6 + -12. Let r = u + f. Which is the third biggest value? (a) r (b) 0.4 (c) 1 b Let t = 8 + -8.3. Let j = -30 + 21. Which is the smallest value? (a) t (b) j (c) -0.2 b Let v = -0.7 - -0.7. Let x = 0.2 + v. Let n = -4/13 - 57/26. What is the second smallest value in x, -3, n? n Let f = 0 - -0.3. Let r = -4 - -2. Which is the third biggest value? (a) f (b) 2 (c) r c Let f be (18/4)/((-1)/(-4)). Let q be (f/(-12))/(6/8). Which is the third biggest value? (a) -2/7 (b) q (c) 5 b Let l = -3.03 + 0.03. Which is the second biggest value? (a) 4 (b) l (c) -5 b Let w = -4 - -3.4. Which is the biggest value? (a) w (b) -4 (c) 2/5 c Let j = -0.72 + -3.98. Let m = j + -0.3. Let g = 6/5 + -23/15. Which is the third smallest value? (a) -2 (b) m (c) g c Let u = 10 + 2. Let g = -11.1 + u. Let j = -1.1 + g. Which is the smallest value? (a) -2/9 (b) 0.1 (c) j a Let t = 89 - 89.2. What is the third biggest value in t, -1.4, -1? -1.4 Let y = 6.4 + -6. Let x = -66 - -61. Which is the biggest value? (a) y (b) -0.01 (c) x a Let k = -0.5 - -2.5. Let h be -3 - (28/(-5))/2. Which is the biggest value? (a) k (b) -5 (c) h a Let q = 19 + -14. Suppose 0 = -j - 5*h - 14, 2*h - 1 = -j. Which is the third biggest value? (a) -5 (b) q (c) j a Let u = 1166 + -12852/11. Let q = 116/77 + u. Suppose -3 - 7 = 2*t. Which is the second smallest value? (a) t (b) 1/4 (c) q c Let k = 2/245 + 233/1470. What is the second biggest value in k, -0.3, 6, 3/2? 3/2 Let a(s) = s**2 - 5*s + 3. Let k be a(-5). Let d = k + -213/4. What is the smallest value in d, 4, -3? -3 Let n = -0.94 + 1.41. Let r = 0.5 - n. What is the third biggest value in -0.2, -2, r? -2 Let k = 0.02 - 1.02. Let z = -0.7 + 1. Which is the third smallest value? (a) k (b) z (c) 4 c Let a = 5 - 6. Let r = a + 0. What is the second smallest value in -2, r, 0.4? r Suppose 6*q = -2*p + 4*q + 194, -5*p + 4
{ "pile_set_name": "DM Mathematics" }
order. y, 0, 4 Let h be 2/1 - (0 - -2). Let r(x) = x + 15. Let k be r(-15). Let i = h + k. Sort i, -5, -2 in ascending order. -5, -2, i Suppose 5*c - 35 = -5*q + q, 2*c - 31 = -5*q. Let z be (-4)/18 - (-152)/198. Sort c, z, 1/2 in descending order. c, z, 1/2 Suppose 3*v - 4*y = y + 28, -2*y - 12 = -2*v. Let u be 32/6 - (-1)/(-3). Sort u, v, 0 in descending order. u, v, 0 Let x = -7 + 12. Suppose -5*t = 3*d + 25, -d + t - 11 = 4*t. Put d, 3, x in increasing order. d, 3, x Let f = -5.1 - -2.1. Sort -2/7, -6, f. -6, f, -2/7 Let m = 10 + -14. Let y = 0.31 + 0.19. Put m, 0, y in descending order. y, 0, m Let k be ((20/(-6))/(-2))/((-20)/(-60)). Let l = 1748/93 - 4/31. Let f = l - 19. Sort f, k, -4 in ascending order. -4, f, k Let v = -128 - -12. Let k = v + 1043/9. Let q = -0.13 + -0.07. Put q, k, 0.3 in increasing order. q, k, 0.3 Let s(y) = -3*y**2 + 8*y**2 + y + y**2 - 2*y**2. Suppose 4*c = 3*c + 1. Let d be s(c). Sort d, -3, 3 in decreasing order. d, 3, -3 Let q = -330 - -2974/9. Sort 3, -1/19, q in increasing order. -1/19, q, 3 Let f = -22 - -12. Let z be (-11)/(-2) - (-5)/f. Sort z, 6, -5 in descending order. 6, z, -5 Let u be 8/(-6)*12/(-4). Let l = -14 + 19. Put -4, l, u in decreasing order. l, u, -4 Let u = -3 - -3.1. Let k = -0.08 + 0.08. Put u, k, -3/2 in increasing order. -3/2, k, u Let x = -3.01 + 3. Let r = x - 0.29. Sort r, -8, -4 in descending order. r, -4, -8 Let b = -4 - -1. Let j = b - -7.9. Let l = j + 0.1. Put l, -2, -1 in increasing order. -2, -1, l Suppose 5*s - 9 = 11. Suppose -32 = -s*n + 5*p + 8, -4 = p. Let r = 7 - n. Put 3, r, 1 in descending order. 3, r, 1 Suppose -11*g + 31*g = -40. Suppose 0 = w - 2*w. Sort w, g, 5 in increasing order. g, w, 5 Let g be -6*1/2 - -3. Sort 4, -2, g in increasing order. -2, g, 4 Suppose -2 = -3*d - 11. Let k be (d/3)/(3/(-9)). Let i = 4 - k. Sort i, 0, -2 in descending order. i, 0, -2 Let l be (-6*3/(-15))/((-6)/(-15)). Sort l, 5, -10 in ascending order. -10, l, 5 Suppose -5*v + 19 = 4. Suppose 0*i + 18 = v*p + 3*i, -5*p + 2*i + 23 = 0. Put -1, -3, p in descending order. p, -1, -3 Let w = -61 - -58. Let h = -3.64 + 0.14. Let n = h - w. Sort 2/5, 0.3, n in decreasing order. 2/5, 0.3, n Let n = -4.9833 + 0.0133. Let r = 0.02 - -0.01. Let g = r - n. Put g, 1/4, 3 in descending order. g, 3, 1/4 Suppose 5*x + 0*w - 35 = 3*w, 4*x = -2*w + 6. Suppose x*r + 8 = -0*r. Sort r, -5, 4 in ascending order. -5, r, 4 Let v be -2 + 6/(-12)*-2. Sort -2, v, 18 in increasing order. -2, v, 18 Let z be -1*((-19)/5 - -4). Sort 0.4, 4, z. z, 0.4, 4 Suppose -12 + 2 = -5*g. Let t(u) = u**2 + 6*u + 3. Let y be t(-5). Sort y, g, 5. y, g, 5 Let g be 2/(-7) - (-180)/42. Suppose 0 = -5*p - 4*n + 8 + 5, 0 = -5*p - 3*n + 11. Sort -4, p, g. -4, p, g Let y = -175 - -2273/13. Let o = 0.42 - 0.02. Suppose -i - 2*i = -9. Put o, y, i in descending order. i, o, y Let o(x) = x**2 + 6*x + 3. Let i be o(-4). Let n = -3 + 2. Put i, n, 1 in descending order. 1, n, i Let y = -5/84 + 233/1092. Put y, 3/2, -2, -3 in decreasing order. 3/2, y, -2, -3 Let x(p) = -5*p + 1. Let r be x(1). Put r, -1, 1 in decreasing order. 1, -1, r Let g = 198 - 2968/15. Let d = 0.4 + 0.1. Put -4, g, d in decreasing order. d, g, -4 Let m = 32 - 14. Let j = m - 38. Let l be ((-2)/(-5))/(4/j). Put -4, l, -1 in decreasing order. -1, l, -4 Suppose 6*n - 3*n = 3. Let g = -31 + 30. Put -2, n, g in descending order. n, g, -2 Let g be (-8)/(-3 + -2 + 3). Let d(s) = 4*s - s + 2*s - s**2. Let u be d(g). Sort 0, u, 3 in ascending order. 0, 3, u Let f be 6*(-4)/(-8) + -1. Sort f, 0, -4 in ascending order. -4, 0, f Let t = -31 - -33. Put -1, t, 0 in decreasing order. t, 0, -1 Let k = 1 - 0.9. Let g = 8.2 + -8. Let s = g - k. Sort 0.4, -4, s in increasing order. -4, s, 0.4 Let d be (-5)/(-1) + 35/(-7). Suppose 4*r + 2*v = 12, -r - 5*v = 3*r - 18. Put d, -2, r in ascending order. -2, d, r Suppose 0 = i - 6*i - 20. Let d = -35 - -33. Let c be i/d*(-1)/(-2). Sort 5, c, -1 in increasing order. -1, c, 5 Let a(o) = o**3 + 8*o**2 - 10*o - 13. Let y be a(-9). Sort -3, y, 0. y, -3, 0 Let g(v) = -v + 5. Let o = -6 - -1. Let w be g(o). Let p(z) = z**3 - 11*z**2 + 10*z. Let l be p(w). Sort 2, l, 5 in decreasing order. 5, 2, l Suppose 2*r = 4*r - 6. Let m = -3 - -3.4. Put m, r, -1/3 in decreasing order. r, m, -1/3 Suppose 6 = 5*q - 19. Sort -1, -2/9, q in descending order. q, -2/9, -1 Suppose 4*w = -5*d + 2 + 2, -3*d = 3*w. Suppose 6 = 3*p - 4*p + i, 23 = -5*p - 2*i. Put p, -4, d in decreasing order. d, -4, p Let x be 60/8 - 1/2. Let i = x + -11. Let w = i + 4. Sort 1, -4, w in decreasing order. 1, w, -4 Let g = 100 + -32. Let k = -339/5 + g. Let q = -8 - -4. Sort q, k, 0.3. q, k, 0.3 Let y = -4.1 - -0.1. Let b = -9 - y. Sort b, 1, 0.8 in ascending order. b, 0.8, 1 Let i = -5 + 6. Suppose -w - i = -2*w + y, 2*y = 3*w. Sort 1, w, -1. w, -1, 1 Let b = 22 - 16. Let u = 7 - b. Put u, 1/6, 0.2 in descending order. u, 0.2, 1/6 Let m = 59 - 294/5. Let g = 0.3 - -0.7. Put m, g, -4 in increasing order. -4, m, g Suppose 0 = 5*j - 4*j + 1. Let k = 19 + -30. Let q = k - -7. Put j, q, -5 in decreasing order. j, q, -5 Suppose -x = 3*x + 4. Let t be x*2 + (-2 - -2). Let v be (12/270)/(t/10). Sort 0.3, 2, v in decreasing order. 2, 0.3, v Let g = -0.3 + 1.3. Put 3/7, g, 0.2 in descending order. g, 3/7, 0.2 Suppose -424*g + 418*g = -6. Let i = 0.42 - 0.02. Put i, 3, g in increasing order. i, g, 3 Let i(r) = -r**2 - 5*r + 5. Let h be i(-6). Let a be h/4 - (-4)/16. Let s = 0 + -5. Put s, a, 3 in descending order. 3, a, s Let n = -5.7 - -6. Put -1/2, 2, n in increasing order. -1/2, n, 2 Suppose 2*i = 0, -4*v + i + 19 - 3 = 0. Put v, 1, -2 in descending order. v, 1, -2 Let q = -3 + 8. Let f be 3*(6/2)/1. Suppose 0 = 2*i + 3 - f, -2*r + 5*i = 9. Sort -2, r, q in descending order. q, r, -2 Let t = 6 + -2. Suppose -t*x - 4 = -5*x. Suppose 0 = -z + x - 2. Sort 4, z, -4 in descending order. 4, z, -4 Let g be (-7 - -1) + 4/2. Suppose 3*c + 4*k = k, 9 = 4*c + k. Put c, g, -1 in decreasing order. c, -1, g Suppose 13*g - 3 = 16*g. Let s be (-4)/16 - 477/(-4). Let n = 473/4 - s. Put -1/3, n, g in ascending order. g, n, -1/3 Let i = -3.4 + 3. Sort 0.1, i, -4. -4, i, 0.1 Suppose 3*w - 4*k = -70, 6*k - 9*k - 6 = 0. Sort w, -4, 0. w, -4, 0 Let v = 2 + -2. Let a = -1 - v. Sort a, -0.2, 1/2. a, -0.2, 1/2 Let i = -10 + 12. Suppose -4*m - 3*l + 1 = 0, -4*l - 5 = -i*m + m. Sort m, -4, -8 in increasing order. -8, -4, m Let d = -0.9 + 0.4. Put d, 2/5, 4 in descending order. 4, 2/5, d Let q(c) = c**3 - 4*c**2 - 3*c + 4. Let b be q(4). Let p be (2/b)/(7/14). Sort 3, 0.2, p in descending order. 3, 0.2, p Let u = 0.8 - 0.6. Let n = u - 0.5. Sort 1, n, -3 in increasing order. -3, n, 1 Let f = -40 - -43.9. Let a = 0.1 + f. Put a, 0.4, 1/7 in ascending order. 1/7, 0.4, a Suppose 2*u = 3*p - 10, -10 = -3*p + 3*u - 1. Suppose 0 = -5*s - 5. Let z = s + -4. Put z, p, -1 in ascending order. z, -1, p Let o be (72/630)/(1/5). Let u(t) = -t**3 - t**2 + 1. Let p be u(1). Sort p, 0.4, o in decreasing order. o, 0.4, p Let d = 9 + -8. Put 0, d, -3/4 in decreasing order. d, 0, -3/4 Suppose 5*p - 3*p - 12 = 0. Suppose -10 = -k + p*k. Sort -5, -4, k in increasing order. -5, -4, k Let f = -3/16 + -23/48. Let h = 0.3 + -0.1. Sort f, 4, h in ascending order. f, h, 4 Suppose 20 = -4*o - 2*w - 2*w, 4*o + 10 = -2*w. Sort o, -2, -0.3, 1/2 in ascending order. -2, -0.3, o, 1/2 Let j be 3*-3*(-7)/42. Put j, -1/2, -3 in descending order. j, -1/2, -3 Let v = -0.03 - 0.47. Let c = v + 0.52. Sort 2/7, 2, c in increasing order. c, 2/7, 2 Let x = 12 - 21. Let q be (-2)/((-33)/(-303)*-2). Let u = q + x. Put 2, 0.4, u in decreasing order. 2, 0.4, u Suppose 0 = -l + 4*q + 3, -4*q + 1 = -3*q. Let o = 12 - l. Sort o, -1, -5. -5, -1, o Let s = 0 + 18. Let k be 4/s - (-32)/18. Sort -4, k, 4 in ascending order. -4, k, 4 Let i = -24 - -20. Put -2, i, -3 in descending order. -2, -3, i Let p = 0.4 + 0.6. Let u = -0.7 - -0.2. Put 2/11, p, u in descending order. p, 2/11, u Let z be ((-12)/30)/(3/45). Put -5, z, -1 in increasing order. z, -5, -1 Let n = 28 + -26. Sort -5, -1, n. -5, -1, n Let w(h) = -2*h. Let l be w(1). Let o = 3 + l. Sort o, 3, -2. -2, o, 3 Let n be (-6)/15 - 26/10. Let q = n + 4. Let u(r) = r**2 - 2*r + 3. Let f be u(2). Sort 5, q, f. q, f, 5 Let o = 18
{ "pile_set_name": "DM Mathematics" }
econd smallest value in d, 3, 5? 3 Let j = -24 - -24.2. What is the fourth biggest value in 1/9, j, -5, -6? -6 Let j = 8 + -4. What is the third biggest value in -1/10, j, -0.06? -1/10 Let h = -798 - -23144/29. Which is the fourth smallest value? (a) -5 (b) h (c) -2 (d) 3 d Suppose r + 3*q + 7 = 0, -21 + 1 = 5*q. Suppose -3*b + 2*w = -3, w - 2 - 2 = -4*b. What is the biggest value in r, -2/9, b? r Let g(a) = 0 - 9*a + 10*a + 5. Let v be g(-5). Let i be (v - -4)*(-1)/(-5). What is the third smallest value in 3, 2/3, i? 3 Let s(n) = 2*n. Let z be s(-1). Let y = -0.08 - -4.08. What is the smallest value in z, y, 2? z Let d(q) = 4*q**3 + q**2 - q - 1. Let y be d(-1). Let z(k) = -k**2 + 5*k - 4. Let j be z(3). What is the smallest value in j, y, -0.4? y Let n(j) = 2*j**3 + j**2 - j - 1. Let y be n(-1). Let d be ((-6)/24)/(y/6). What is the biggest value in d, 8, -0.4? 8 Let u = -5.191 - -0.191. What is the biggest value in u, 0.6, 13? 13 Suppose 0 = -a + 1, -4*a + 13 = -5*m - 11. What is the second biggest value in -0.4, m, -0.1, -3? -0.4 Let n = 2.9 + -3.3. Which is the biggest value? (a) n (b) 1 (c) -1/6 (d) 2 d Let m = 69 - 71.9. Let v = m + 2.95. Which is the smallest value? (a) 5 (b) 3 (c) v c Let l = -2969 + 38576/13. Let t = l - -173/91. Let r = 1 + -3. Which is the third biggest value? (a) t (b) 4 (c) r c Let y(h) = h**2 + 10*h + 2. Let z be y(-9). What is the third biggest value in z, -0.5, 4? z Let j be (-22)/8 + 20/5. Which is the third biggest value? (a) 1/3 (b) j (c) -9 c Let h = 63 + -66. What is the second smallest value in h, 1, 6? 1 Let r = 0.24 - -0.06. Let i = -0.4 - r. Let n = i - -1.7. What is the third biggest value in n, 3/8, -0.3? -0.3 Suppose 1 + 9 = -2*p. Suppose 4*n = 4, 21 = 3*g + 2*n + 1. Let k be ((-6)/(-32))/(g/4). Which is the second smallest value? (a) 0 (b) p (c) k a Let q = 1 - 7. Let n = q + 11. Which is the third biggest value? (a) n (b) 2/23 (c) 1 b Let q be (-170)/(-12) + 2 + -1. Let p = q + -16. Let o be 1/3*4/(-2). Which is the third biggest value? (a) p (b) -0.5 (c) o a Let f(w) = -w**3 + 4*w**2 - w + 2. Let i be f(4). Let o = -5.4 - -5. Let u = o - 0.6. Which is the third smallest value? (a) u (b) i (c) -1/5 c Let z = 32.5 - 33. What is the smallest value in 1, z, 0.5, -17? -17 Suppose 3*y - 15 = -3*b, 17 = b + 3*y - 6*y. Let r be b/(-36) + 155/9. Suppose 3*p - r = 4*h, 4*h - 3 = -2*p - 5. What is the biggest value in p, -2/5, 2? p Let l = -71 + 81. Which is the smallest value? (a) -1 (b) -2 (c) l b Let c = 3.4 + -7.3. Let y = 0.9 + c. What is the third biggest value in -0.1, 6/7, y? y Let b be 3/(-2)*(-1)/(-3). Let p(n) be the first derivative of n**4/4 - 4*n**3/3 + n**2/2 + 4*n + 1. Let j be p(2). What is the smallest value in -2/5, b, j? j Let y = 0.09 - 0.39. Which is the smallest value? (a) -5 (b) -2/5 (c) y a Let n = 26 - 38. Let r = -16 - n. What is the third smallest value in 2, 4, r? 4 Let l = -47/2 - -419/18. What is the second smallest value in 1, l, -5, 2/17? l Let o be (2 + 0 - 1)*-2. Let l = -3 + o. Let k = 7/6 + -8/3. Which is the biggest value? (a) -3/5 (b) k (c) l a Let g = 1.26 + 1.74. What is the third smallest value in -3, -2.5, g? g Let p be (-48)/(-21) + 6/(-3). Which is the third smallest value? (a) p (b) 1 (c) -4 b Let v = 13 + -220/17. Which is the biggest value? (a) 2/7 (b) -1/2 (c) v a Let r = -72.9 - -73. Which is the biggest value? (a) 2/3 (b) r (c) 0.5 a Suppose -5*x = -2 - 18. Let s = -28 - -17. Let r = 10.9 + s. What is the third biggest value in 3/7, r, x? r Let o = 0.28 + 0.02. Suppose j + 0 = -4. What is the second biggest value in o, -3, j? -3 Suppose 0 = 5*m - 2*m. Suppose -4*a + 8 + m = 0. Let j = -51/2 - -25. What is the second biggest value in j, 1, a? 1 Let v = -0.084 + -7.916. What is the smallest value in -5, 0.4, v, -3/5? v Let n = -5.11 + 0.11. Let y = n - -7. Let s = -1 - -2. Which is the second smallest value? (a) 3 (b) y (c) s b Let h = -199 + 202. What is the smallest value in h, -4/3, -0.4? -4/3 Let j be 2/22 - (-725)/(-1925). Which is the biggest value? (a) -0.2 (b) -0.4 (c) j (d) 2/5 d Let x = 1.71 + -0.21. Let z = -1.5 + x. Which is the biggest value? (a) -0.2 (b) 0.5 (c) z b Let d = 104 - 105. What is the second biggest value in 5, d, 18/5? 18/5 Let d = -11 - -7. Which is the second biggest value? (a) -1 (b) -10 (c) d c Let h = 1 - -6. Let j = h - 6.6. What is the second smallest value in j, 2/13, 0.5? j Let i = -18 - -18.9. Let h = -2.1 - i. Let p be 0*(2/4 + 0). Which is the third smallest value? (a) p (b) 2 (c) h b Let y = -11.7 - -12. Which is the fourth smallest value? (a) y (b) 2/5 (c) 0.5 (d) 0.2 c Let c = 21 + -85/4. Let z = 43/7 - 201/35. What is the smallest value in 3, c, z? c Let d = 1.87 - 0.37. Let o = 0.3 - -0.2. Let i = d + o. Which is the second smallest value? (a) i (b) 5 (c) -2 a Let f be ((-2)/8)/(14/(-16)). Which is the second biggest value? (a) 0.2 (b) f (c) 0 a Suppose 2*n + 0*n = 24. Suppose -3*w = -0*w - n. What is the third biggest value in 0.3, w, 5/4? 0.3 Let s = 24 - 19. Which is the third biggest value? (a) 0.5 (b) 1 (c) s a Let z(p) = 3*p**2 + 1. Let l = 13 + -12. Let q be z(l). Let i = -2 - -7. Which is the second biggest value? (a) -2 (b) q (c) i b Let z = -1.02 - -0.52. Which is the second smallest value? (a) 3 (b) -2/47 (c) z b Let l = 0.3 - 0. Which is the third biggest value? (a) l (b) -3 (c) 2 b Let y = -120/7 - -17. Let k = 4 - 0. Which is the third smallest value? (a) y (b) 1/2 (c) k c Let g = 0.36 - -0.04. Let j = -39 + 42.4. Let q = j + -0.4. Which is the third biggest value? (a) 2 (b) q (c) g c Let h = 1.45 - -0.15. Let l = -0.4 - h. Let w = 0.1 - -0.3. What is the third biggest value in 1/6, w, l? l Let d(s) = 13*s + 18. Let z(i) = -6*i - 9. Let k(f) = -4*d(f) - 9*z(f). Let p be k(-6). Which is the third biggest value? (a) p (b) 0.4 (c) -2 a Let s = -2.96 + -0.04. Let u = -1 + 6. What is the smallest value in s, 0.2, u? s Let f = 1 - 0. What is the smallest value in f, -1, -12? -12 Let w = -3 - -1. Let f be (-4)/(w + 0 - -3). Let j(u) = -u - 10. Let x be j(-8). Which is the smallest value? (a) 5 (b) x (c) f c Let x be 2 - 0*1/(-2). Let y be (-7)/42*-1*x. Which is the second smallest value? (a) -1 (b) -3 (c) y a Let x = 0 - -0.1. Let v = -48 + 334/7. Which is the third smallest value? (a) x (b) 0.2 (c) v b Let g = 111 + -107. What is the second biggest value in -9, -0.2, g? -0.2 Let r = 0.62 + -0.18. Let b = -0.04 + r. What is the third smallest value in 1/4, -2/15, b? b Let p be 2/(-13) + (-108)/(-364). What is the smallest value in p, 0, 1/3? 0 Let v = 194/3 + -64. Suppose -6*g + 213 - 237 = 0. Which is the second smallest value? (a) v (b) g (c) -2 c Suppose z + 4 = 3*z. Suppose -3*t - 2*l + 2 = -0, -z = 2*t - 2*l. Suppose t = 3*g + g + 12. What is the smallest value in g, -0.2, 2/3? g Let c = -7.03 + 7. Let r = -0.03 + c. Let k = 0.44 - r. What is the second smallest value in k, 0.1, -0.5? 0.1 Let p = -72 - -76. Which is the fourth smallest value? (a) 1.2 (b) -3/7 (c) 1 (d) p d Let l = -15.7 + 35.1. Let n = 19 - l. Let b = 2/3 + 0. What is the smallest value in n, b, -2/7? n Suppose 2 = -y - 5. What is the biggest value in -4, y, -2? -2 Let v = 6.9 - 6.4. Which is the second smallest value? (a) v (b) 0.05 (c) 4/7 a Let r = -0.03 + 0. Let f = r - -0.03. Let m be 0 - (-19)/8 - 2. Which is the third smallest value? (a) m (b) 1/2 (c) f b Let s be (-2)/16 + (-69)/(-184). Which is the third smallest value? (a) -0.2 (b) s (c) 2/5 (d) -8/5 b Let o be (-131)/(-56)*(0 + 2). Let n = o + -38/7. What is the biggest value in n, -2, -1? n Let k = -1.8 + 1.75. Let m = -3 + 2.95. Let o = k - m. What is the second smallest value in 2, o, 1? 1 Let n = -0.1 + -0.4. Let z = 281 - 281.1. Let f = 1 - 5. Which is the biggest value? (a) z (b) n (c) f a Let n = -47/39 - 5/39. What is the third biggest value in n, -1/8, -0.3? n Let t = -66 + 61. What is the biggest value in t, -15, 1/6? 1/6 Let b = 6.1 - 6. Suppose -2*s = -5*t - 4*s + 16, 0 = -3*t + 2*s. What is the biggest value in -0.1, t, b? t Suppose 0 = 3*o + q + 2*q + 27, 11 = o - 4*q. Let m = 2.93 + 0.07. Let b = 29 + -59/2. What is the second smallest
{ "pile_set_name": "DM Mathematics" }
in 1421*c - 2834*c + 1416*c. 3*c Collect the terms in -9*j + 6*j - 7*j. -10*j Collect the terms in 5 + 4 + 1 - 10 - j**3. -j**3 Collect the terms in -42*u**3 - 45*u**3 + 132*u**3 - 46*u**3. -u**3 Collect the terms in -14*b**3 + b**3 - b**2 - 8*b**3. -21*b**3 - b**2 Collect the terms in -36 + 13*g**2 + 36 - 16*g**2. -3*g**2 Collect the terms in 108*h**2 + 47*h - 47*h. 108*h**2 Collect the terms in -8*f**2 + 8*f**2 - f + 2*f**3. 2*f**3 - f Collect the terms in 14 - 7 - 7 - 6*x**2. -6*x**2 Collect the terms in 5*w + 9*w - 5*w + 3 + 6*w. 15*w + 3 Collect the terms in 9*z + z + 0*z + z + 3*z. 14*z Collect the terms in -181 + 4*v**3 + 195 - 2*v**3. 2*v**3 + 14 Collect the terms in 13180*v + 13180*v - 26357*v. 3*v Collect the terms in 185*j - 185*j + 5*j**3 - 2*j**3. 3*j**3 Collect the terms in 2*a + 5*a + a + 8*a. 16*a Collect the terms in -3*p**3 + 17 + 2*p**3 - 7. -p**3 + 10 Collect the terms in 148*t**2 - 2*t - 8*t + 10*t. 148*t**2 Collect the terms in -12*g - 7*g - 17*g. -36*g Collect the terms in 30*h**2 + 53*h**2 + 20*h**2. 103*h**2 Collect the terms in 4*k - 4*k + 5*k**3 + 5 + 24*k**3. 29*k**3 + 5 Collect the terms in 102*s - 6 + 6 - 116*s. -14*s Collect the terms in 15*u**3 + 9*u**3 - 49*u**3 + 16*u**3 + 17*u**3. 8*u**3 Collect the terms in 7*m**3 + 9*m**3 - 11*m**3. 5*m**3 Collect the terms in -115*k**3 + 67*k**3 + 66*k**3. 18*k**3 Collect the terms in -1 - 26*o - 7*o + 6*o. -27*o - 1 Collect the terms in 78*v - 2 - 53*v + 3. 25*v + 1 Collect the terms in -11*x - 3*x + 5*x - 5*x. -14*x Collect the terms in 2 - 65 + 3*o + 12. 3*o - 51 Collect the terms in -400*j - 410*j - 3*j**2 + 810*j. -3*j**2 Collect the terms in 85*y + 76*y + 12*y. 173*y Collect the terms in -10 - 9*b + 7 + 3. -9*b Collect the terms in a - 3*a + 2*a + 15*a**2 + 3*a. 15*a**2 + 3*a Collect the terms in 5*i**3 + 11*i**3 + 9*i**3 - 10*i**3. 15*i**3 Collect the terms in 6*f**3 - f**3 + 6*f**3. 11*f**3 Collect the terms in 11*b**3 - 11*b**3 + 4*b**3 + 7*b**3. 11*b**3 Collect the terms in -6*o**2 + 8*o**2 + 6*o**2. 8*o**2 Collect the terms in 12293*w + 2*w**2 - 12293*w. 2*w**2 Collect the terms in 87*n**3 - 30*n**3 - 35*n**3. 22*n**3 Collect the terms in -16*v**3 - 21*v**3 + 6*v**3. -31*v**3 Collect the terms in 126*p + 162*p - 340*p. -52*p Collect the terms in -4 + 6*z + 46*z**2 - 47*z**2 - 6*z. -z**2 - 4 Collect the terms in c**3 - 3*c + c**3 + 3*c. 2*c**3 Collect the terms in -2*c**2 + 2*c**2 + 22*c**3. 22*c**3 Collect the terms in 133223*o - 133223*o + o**3. o**3 Collect the terms in 6*x**2 - 432 - 432 + 864. 6*x**2 Collect the terms in 0*l**2 + 4*l**2 - 3*l**2 + 5*l**2. 6*l**2 Collect the terms in -81*y + 158*y - 78*y. -y Collect the terms in 4*n + 3*n - n + 11*n. 17*n Collect the terms in 1 + 1 + 22*d**2 - 3 - 1. 22*d**2 - 2 Collect the terms in -2*r - 66 - 69 + 135. -2*r Collect the terms in -3*a + 3245 - 3245. -3*a Collect the terms in -3*p + 3*p + 16*p**2 - 14*p**2. 2*p**2 Collect the terms in 29*b - 6*b + b - 11*b. 13*b Collect the terms in 181522*t - 2*t**2 - 181522*t. -2*t**2 Collect the terms in 14*y + 1 + 1 + 7*y - 1. 21*y + 1 Collect the terms in 41*h - 41*h + 24*h**2. 24*h**2 Collect the terms in 10*j**3 + 10 - 10. 10*j**3 Collect the terms in 7*o - o - 4*o + o. 3*o Collect the terms in -92*s**3 - s**2 + 45*s**3 + s**2 + 49*s**3. 2*s**3 Collect the terms in 2*j**3 + 9*j**2 - j**2 - 8*j**2. 2*j**3 Collect the terms in -48*g**2 + 30*g**2 - 16*g**3 + 14*g**3 + 18*g**2. -2*g**3 Collect the terms in 4*j - 11*j + 10*j. 3*j Collect the terms in 2 - 36*j**2 + 25*j**2 - 2. -11*j**2 Collect the terms in -1483*y**3 + y - y. -1483*y**3 Collect the terms in -87 - 12*g**2 + 5*g**2 + 87 + 8*g**2. g**2 Collect the terms in -38*h**2 + 12*h**2 + 7*h**2 + 13*h**2. -6*h**2 Collect the terms in c + c + 0*c - 2*c + 4*c. 4*c Collect the terms in 25*m - 18*m + m - 11*m. -3*m Collect the terms in -86*v**3 + 300*v**3 - 209*v**3. 5*v**3 Collect the terms in 3*d**2 - 3*d**2 + 12*d**3 + 3*d**3. 15*d**3 Collect the terms in -4*m + 12 + 14 + 4. -4*m + 30 Collect the terms in 39*o**3 - 137*o**3 + 31*o**3 + 31*o**3 + 32*o**3. -4*o**3 Collect the terms in 11*h**2 + 489*h - 5*h**2 - 489*h. 6*h**2 Collect the terms in 99487*g - 49741*g - 49742*g. 4*g Collect the terms in -368*r**3 + 740*r**3 - 375*r**3 - 4*r**2 + 4*r**2. -3*r**3 Collect the terms in 20 - 20 + 4*q - 3*q. q Collect the terms in 46*f**3 + f - 48*f**3 + 2*f - 3*f. -2*f**3 Collect the terms in -20*i + 60*i + 4 - 24*i - 4. 16*i Collect the terms in t**3 + 14*t**2 - 6*t**2 - 8*t**2. t**3 Collect the terms in 61*o**2 + 1 - 1 - 2*o. 61*o**2 - 2*o Collect the terms in -7 - 9*z**2 + 1 + 6. -9*z**2 Collect the terms in -f + 8*f - 59*f**3 - 7*f + 85*f**3. 26*f**3 Collect the terms in 160*t**3 - 169*t**3 - 2 - 2. -9*t**3 - 4 Collect the terms in -n**2 + 9*n - 5 + 4 + 1. -n**2 + 9*n Collect the terms in 44*j - 18*j - 18*j - 10*j. -2*j Collect the terms in 23*m**2 - 12*m**2 - 6*m**2 - 4*m**2. m**2 Collect the terms in -34*j + 15*j + 10*j - 4*j**3 + 9*j. -4*j**3 Collect the terms in 169*g**2 - 58*g**2 - 55*g**2 - 58*g**2. -2*g**2 Collect the terms in -143*f + 78*f + 52*f. -13*f Collect the terms in 11*b**3 - 209*b**2 + 209*b**2. 11*b**3 Collect the terms in -7*q**3 - 17*q**3 + 45*q**3. 21*q**3 Collect the terms in -16*c + 7*c + 11*c. 2*c Collect the terms in 7*u**2 - 358 + 358. 7*u**2 Collect the terms in 12*d**2 - 11*d**2 + 18*d**2. 19*d**2 Collect the terms in 4 - 3 - 10*t**3 - 8*t**3. -18*t**3 + 1 Collect the terms in 34*r**2 - 23*r**2 - 19*r**2. -8*r**2 Collect the terms in -7*g + 0*g + 1 - 1. -7*g Collect the terms in -6509 + 6509 - 3*l**3. -3*l**3 Collect the terms in -10*p**2 + 64*p**3 - 59*p**3 + 24*p**2. 5*p**3 + 14*p**2 Collect the terms in 36*w - 36*w - 2*w**3. -2*w**3 Collect the terms in 2*n**3 - 119 + 244 - 125. 2*n**3 Collect the terms in 3 - 2*i**3 + 0 - 3. -2*i**3 Collect the terms in 5*i - 5*i + 134*i**3. 134*i**3 Collect the terms in -694 + 694 + 5*g**2. 5*g**2 Collect the terms in 29*c**2 + 2*c - 45*c**2 - 2*c. -16*c**2 Collect the terms in -36 + 903*z**3 - 901*z**3 + 36. 2*z**3 Collect the terms in -23*x + 37*x - 11*x. 3*x Collect the terms in 31*t**3 + 28*t**3 - 61*t**3. -2*t**3 Collect the terms in 13*a + 14*a - 33*a**2 - 27*a. -33*a**2 Collect the terms in -2*y**2 + 2*y**2 + 0*y**2 - 15*y**3. -15*y**3 Collect the terms in -6*d**3 + 5*d**3 - 57758 + 0*d**3 + 57758. -d**3 Collect the terms in -508*a**3 + 1538*a**3 - 521*a**3 - 512*a**3. -3*a**3 Collect the terms in -2*k**2 - 3*k**3 + 2*k**2 - k**3. -4*k**3 Collect the terms in 4 + 37*q - 4 + 64*q - 109*q. -8*q Collect the terms in -854*p**2 + 1730*p**2 - 871*p**2. 5*p**2 Collect the terms in 2*c - 5*c - 33*c. -36*c Collect the terms in 8*u**2 + 13*u**2 + 6*u**2 - 16*u**2. 11*u**2 Collect the terms in -4 + 2*f + 13 - 9. 2*f Collect the terms in -3170 + 3170 + z**3. z**3 Collect the terms in 455*d - 4*d**3 - 913*d + 2*d**3 + 458*d. -2*d**3 Collect the terms in 59*s + s**2 - 28*s - 31*s. s**2 Collect the terms in -27*l**2 - 2*l**2 - 95*l + 95*l. -29*l**2 Collect the terms in -6477*s**2 - 6479*s**2 + 12961*s**2. 5*s**2 Collect the terms in 6*x**3 + 14*x**3 - 18*x**3. 2*x**3 Collect the terms in -1649247 + 1649247 - 2*y. -2*y Collect the terms in 6*y**2 + 43*y**2 + 105*y**2. 154*y**2 Collect the terms in 362 - 362 - 7*v**3. -7*v**3 Collect the terms in -6*l - 2*l + 8*l - 4*l. -4*l Collect the terms in 166*q**3 - 61*q**3 + 90*q**3 + 46*q**3. 241*q**3 Collect the terms in 490*z - 956*z + 469*z. 3*z Collect the terms in 137318 - 6*y - 137318. -6*y Collect the terms in -43*q**2 + 78*q**2 - 37*q**2. -2*q**2 Collect the terms in -70558*g + 70558*g + g**3. g**3 Collect the terms in -6*s**3 + 11*s**3 - 4*s + 4*s. 5*s**3 Collect the terms in -2553*w + 5131*w - 2549*w. 29*w Collect the terms in 733*a**3 + 743*a**3 - 1473*a**3. 3*a**3 Collect the terms in -45 - 2*v - 7 + v. -v - 52 Collect the terms in 3*u**2 + 7*u**2 - 3*u**2 - 12*u**2. -5*u**2 Collect the terms in -6*c**3 + 3*c**3 - 2*c**3 + 20*c**3 - 10*c**3. 5*c**3 Collect the terms in 2*r**3 + 6278*r**2 - 6278*r**2. 2*r**3 Collect the terms in -16*f**2 - 11*f**2 + 26*f**2. -f**2 Collect the terms in 9*m**3 + 3*m**3 - 29 + 18*m**3. 30*m**3 - 29 Collect the terms in -96 + 41 + 5*w**3 + 55. 5*w**3 Collect the terms in -2*b - 211 + 211
{ "pile_set_name": "DM Mathematics" }
12 Two letters picked without replacement from {f: 2, m: 5}. Give prob of sequence mf. 5/21 What is prob of sequence fqqf when four letters picked without replacement from {q: 2, f: 2}? 1/6 Calculate prob of sequence bbwb when four letters picked without replacement from wwwwbbbwwbbwbbwwbb. 21/340 Calculate prob of sequence oeeg when four letters picked without replacement from {r: 3, g: 1, q: 5, o: 6, s: 2, e: 2}. 1/7752 What is prob of sequence oqr when three letters picked without replacement from {r: 5, o: 1, q: 5}? 5/198 What is prob of sequence urt when three letters picked without replacement from {t: 6, q: 2, r: 2, u: 3, h: 1, k: 1}? 6/455 Three letters picked without replacement from jqmjjmqhjhh. What is prob of sequence mqj? 8/495 Calculate prob of sequence kzg when three letters picked without replacement from kkkqkzkwg. 5/504 Three letters picked without replacement from {m: 10, d: 2}. What is prob of sequence mdd? 1/66 What is prob of sequence mmm when three letters picked without replacement from {m: 4, r: 14}? 1/204 Three letters picked without replacement from ozoaxtoyxytty. Give prob of sequence azo. 1/572 Three letters picked without replacement from cbgg. Give prob of sequence bgg. 1/12 Calculate prob of sequence ccn when three letters picked without replacement from ccncccnbnokk. 1/22 What is prob of sequence hppi when four letters picked without replacement from {i: 4, h: 8, p: 1}? 0 Calculate prob of sequence os when two letters picked without replacement from {s: 2, n: 3, o: 1, c: 2, j: 1, t: 9}. 1/153 Calculate prob of sequence nh when two letters picked without replacement from hjhhhhjjhhddhhnjdhhj. 11/380 Calculate prob of sequence mmm when three letters picked without replacement from {m: 3}. 1 Four letters picked without replacement from cfscsfssssscc. Give prob of sequence ffcs. 7/2145 Four letters picked without replacement from uuuuuuvuliwu. Give prob of sequence uvlu. 7/1485 What is prob of sequence oaa when three letters picked without replacement from tottatoa? 1/84 Two letters picked without replacement from kquhqhhwkhkhq. What is prob of sequence ku? 1/52 What is prob of sequence vq when two letters picked without replacement from vvqvvvvvvvvv? 1/12 Three letters picked without replacement from {i: 7}. Give prob of sequence iii. 1 What is prob of sequence lb when two letters picked without replacement from {b: 15, l: 4}? 10/57 Four letters picked without replacement from xxzxzxzwxtxzxyrttwtt. What is prob of sequence zzrz? 1/4845 Calculate prob of sequence oo when two letters picked without replacement from vdyoyoyyyyyyyy. 1/91 Calculate prob of sequence ovr when three letters picked without replacement from kuruuvruforo. 1/220 What is prob of sequence sfff when four letters picked without replacement from fsfsfsff? 3/28 Two letters picked without replacement from nppnppnnnn. What is prob of sequence np? 4/15 Four letters picked without replacement from {b: 9}. Give prob of sequence bbbb. 1 Calculate prob of sequence imii when four letters picked without replacement from iiyiijjiijjmi. 7/572 Three letters picked without replacement from {c: 5, a: 4, u: 2}. What is prob of sequence ucu? 1/99 What is prob of sequence ya when two letters picked without replacement from oyyoyyaayoouy? 1/13 Two letters picked without replacement from aququ. What is prob of sequence ua? 1/10 Calculate prob of sequence iny when three letters picked without replacement from {i: 4, k: 1, n: 1, y: 4, z: 1}. 8/495 What is prob of sequence fv when two letters picked without replacement from vvfvvuuvvv? 7/90 Four letters picked without replacement from {w: 1, u: 1, i: 1, v: 1, l: 2, f: 1}. Give prob of sequence wvul. 1/420 Two letters picked without replacement from {t: 2, w: 4, l: 2, v: 3}. What is prob of sequence tt? 1/55 What is prob of sequence mem when three letters picked without replacement from {e: 2, m: 3}? 1/5 Calculate prob of sequence uhvu when four letters picked without replacement from hvhhuvuv. 3/280 Three letters picked without replacement from {d: 6, u: 3, k: 1, x: 2, a: 1, i: 2}. Give prob of sequence iuu. 2/455 Two letters picked without replacement from {f: 4, w: 2}. What is prob of sequence ww? 1/15 What is prob of sequence rk when two letters picked without replacement from {p: 4, e: 1, k: 2, g: 1, l: 2, r: 2}? 1/33 Three letters picked without replacement from uuxnnuxnnnnu. Give prob of sequence uxx. 1/165 Calculate prob of sequence utuu when four letters picked without replacement from utuu. 1/4 What is prob of sequence fn when two letters picked without replacement from ohunf? 1/20 Calculate prob of sequence qhhq when four letters picked without replacement from qhhhthhqt. 5/378 Calculate prob of sequence iiy when three letters picked without replacement from {y: 1, a: 1, i: 2}. 1/12 Calculate prob of sequence xx when two letters picked without replacement from qqqqqxqqqqqqqqqqqqqq. 0 Three letters picked without replacement from ipiijijjpip. Give prob of sequence pij. 1/22 Calculate prob of sequence mfv when three letters picked without replacement from {f: 1, w: 2, v: 2, q: 1, p: 2, m: 1}. 1/252 What is prob of sequence lrrd when four letters picked without replacement from ldrllrlr? 1/70 Calculate prob of sequence md when two letters picked without replacement from {m: 2, v: 2, y: 4, d: 4, f: 5}. 1/34 Three letters picked without replacement from kkrraaka. What is prob of sequence rrk? 1/56 Two letters picked without replacement from tgtgggtgtggggtgg. What is prob of sequence tg? 11/48 Two letters picked without replacement from {y: 2, l: 4, a: 4, m: 6, d: 1}. Give prob of sequence aa. 3/68 Calculate prob of sequence wu when two letters picked without replacement from {z: 1, h: 1, d: 1, u: 1, w: 1}. 1/20 Two letters picked without replacement from {k: 5, p: 2}. What is prob of sequence kp? 5/21 What is prob of sequence ln when two letters picked without replacement from {h: 5, l: 2, n: 3}? 1/15 Three letters picked without replacement from {f: 2, e: 11}. What is prob of sequence eff? 1/78 Calculate prob of sequence omm when three letters picked without replacement from ommmmo. 1/5 Calculate prob of sequence yz when two letters picked without replacement from nnzbynynz. 1/18 Three letters picked without replacement from mmimmmmmmccmkmkckmkm. Give prob of sequence mki. 2/285 What is prob of sequence hhhh when four letters picked without replacement from hhqhhqhq? 1/14 Two letters picked without replacement from {h: 7, s: 4, k: 2}. Give prob of sequence sk. 2/39 What is prob of sequence ie when two letters picked without replacement from iiiqqqieqqqiiiqiqqi? 1/38 What is prob of sequence bc when two letters picked without replacement from {h: 1, l: 1, m: 2, c: 1, s: 1, b: 1}? 1/42 Three letters picked without replacement from {p: 4, s: 14}. Give prob of sequence pss. 91/612 Four letters picked without replacement from {a: 1, h: 1, e: 1, p: 2}. Give prob of sequence pehp. 1/60 Two letters picked without replacement from iqgqijgiqiiqquuggig. Give prob of sequence qu. 5/171 Four letters picked without replacement from bkktcwttmcmbbtcmbtkm. What is prob of sequence kwbk? 1/4845 Two letters picked without replacement from {g: 12, k: 6}. What is prob of sequence gg? 22/51 Two letters picked without replacement from icicyiifid. What is prob of sequence dy? 1/90 What is prob of sequence my when two letters picked without replacement from mkyip? 1/20 Two letters picked without replacement from {d: 8, y: 6, i: 2, t: 2}. What is prob of sequence it? 2/153 Four letters picked without replacement from arrfwrrwwrwrrortwr. Give prob of sequence raor. 1/1020 Three letters picked without replacement from {u: 3, r: 11, p: 4}. What is prob of sequence prp? 11/408 Four letters picked without replacement from {k: 9, t: 3, e: 4}. What is prob of sequence ekek? 9/455 Four letters picked without replacement from {a: 4, z: 2, b: 2, r: 5, j: 7}. What is prob of sequence arbj? 7/2907 Calculate prob of sequence gvn when three letters picked without replacement from {r: 1, g: 5, v: 1, n: 5}. 5/264 Calculate prob of sequence ztq when three letters picked without replacement from iqtfwzf. 1/210 Three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
o and give s. 264 Rearrange 2*l - 6*l + 4*l + 113170*l**2 - 110569*l**2 to k*l + p*l**2 + i and give p. 2601 Rearrange (0 - 96995*k**2 + 0 + 96850*k**2)*(3*k - 5 + 3 - k) to the form v + u*k**3 + i*k**2 + c*k and give u. -290 Rearrange (3*v - 6*v - 5*v)*(18 - 18 + 5*v**3) - 5*v**4 + v**4 + 3*v**4 to c*v**4 + q*v**3 + b*v**2 + s*v + a and give c. -41 Express (2*c + 2*c - 3*c)*(-3 - 2 - 2 - 1 + 0 + 4 + (1 + 3 - 5)*(-4 + 4 - 2)) in the form w + z*c and give z. -2 Rearrange 2*y**3 + 3*y**2 + 23*y - 9*y**2 - 40*y - 2 + 18*y - 14*y**4 to z*y**4 + g*y + c*y**3 + r + b*y**2 and give z. -14 Rearrange 8*v - 270*v + 130*v - 278*v to q*v + y and give q. -410 Express 264 + 623*x**2 + 260 + 256 - 780 in the form m + p*x**2 + h*x and give p. 623 Express 489*z - 385*z - 455*z in the form q*z + k and give q. -351 Rearrange -6*w - 23*w**2 - 3 + 26*w**2 + 6*w + 126 to d + g*w + t*w**2 and give g. 0 Express 0*n + 21*n - 17*n + 8*n**2 in the form c + w*n + a*n**2 and give w. 4 Rearrange (2*l - 4*l + l)*(21*l**2 + 18*l**2 - 38*l**2) + (-2 + 2 + 2*l**2)*(l + 3*l - 3*l) to the form h*l**2 + v + p*l + y*l**3 and give y. 1 Rearrange 11 - 2*q - 52 + 13 + 9 + q**2 + q**3 + 2*q**4 to o + v*q**3 + z*q**2 + m*q**4 + k*q and give m. 2 Express (-4 + 2 + 4)*(-4*a**3 - 21 + 21 + 5*a**4) in the form v*a**3 + t*a**4 + u*a**2 + i*a + r and give v. -8 Rearrange (-3*y + y + y)*(0*y + 2*y - y) - 2*y**2 + 0*y**2 + 0*y**2 + 192*y**2 - 13*y**2 + 9*y**2 + 77*y**2 to h*y + o*y**2 + i and give o. 262 Rearrange 260*u + 43*u**3 + u**4 - 8 - 261*u + 8 to the form z*u + i*u**3 + j*u**4 + b + m*u**2 and give b. 0 Rearrange 2*x - 998*x**3 + 0*x + 1 + 2*x + 999*x**3 - x**2 - 5*x to the form a*x**2 + i*x + n*x**3 + b and give n. 1 Rearrange 34*k**4 + 2*k**2 + k**2 - k**3 + 4 - 36*k**4 to the form n*k**3 + f*k + t*k**2 + x*k**4 + j and give x. -2 Express -53*d + 6*d - 57*d + 2 + 0 as c + g*d and give c. 2 Rearrange 40*i**3 - 36*i**3 - 6*i**2 + 5*i**2 to d*i**3 + l*i**2 + w*i + o and give d. 4 Express (-2*q + 2*q + 6*q)*(-7 + 1 + 1 + (5 + 3 - 1)*(2 - 6 + 3)) in the form a*q + w and give a. -72 Rearrange -3*o**4 + 5 - 3 - 40*o**2 - 38*o**2 - 42*o**2 + 110*o**2 - 2*o**3 - 3*o to n + p*o + w*o**3 + x*o**2 + h*o**4 and give x. -10 Rearrange -16 - 113*d**3 + 216*d**3 - 104*d**3 - 11*d to the form c*d + h*d**2 + z + p*d**3 and give c. -11 Rearrange (m**2 + m**2 - 3*m**2)*(-2*m - m + m)*(-9764 + 139*m + 9764) to the form s*m**3 + p*m**4 + d*m + q + t*m**2 and give p. 278 Rearrange (0 + 1 - 3)*(-171*l - 4*l - 231*l) + (-3 - l + 3)*(-1 + 2 + 1)*(6 - 1 - 3) to the form b*l + p and give b. 808 Rearrange 2*m**3 + 11*m + 429*m**2 - 855*m**2 + 426*m**2 - 2 to the form u*m**2 + h + v*m + p*m**3 and give h. -2 Rearrange -237*m - 310*m - 217 + 215 - m**4 to the form q*m**2 + w + v*m**3 + u*m + r*m**4 and give w. -2 Express (q + 0*q - 3*q)*(-3134*q - 3295*q + 1616*q) in the form b + a*q + f*q**2 and give f. 9626 Rearrange (-13 + 2*x + 25 - 17)*(-15*x - 37*x + 4*x - x**2) to r*x**3 + p*x + z + w*x**2 and give p. 240 Express 4*b**2 - 14*b**3 + 10*b**3 + 3*b**3 + 9 + b**3 + 2*b**4 in the form j + h*b**4 + x*b**3 + s*b**2 + k*b and give j. 9 Rearrange 2*j - 3*j - 22 + 8*j - 14 + 38 to v + p*j and give p. 7 Express (-3 - 3 + 4)*(9199*z**2 - 4317*z**2 - 4415*z**2) as m*z**2 + u + s*z and give m. -934 Express t - 1 + 2*t - 112*t**2 + 29*t**2 + 42*t**2 as d*t + y + q*t**2 and give d. 3 Rearrange (-97 + 6*n**2 + 97)*(-184*n + 184*n + 68*n**2) to v*n**4 + b*n**3 + k*n + i*n**2 + g and give v. 408 Rearrange 7*o**2 - 3*o**2 + 2*o**2 - 5 - o**2 - 2*o**2 - 5*o to the form l*o + f + p*o**2 and give l. -5 Rearrange (0 - 2*n + 0)*(-26*n**2 - 6*n**2 + 4646 + 3*n**2 - 4733) to b*n**3 + s + p*n**2 + x*n and give b. 58 Rearrange -2 - 7*c**3 - c**2 + 3 - c**2 - 5 to p*c**2 + y*c + w + b*c**3 and give p. -2 Express (-87*z - 1281 + 346*z + 1289)*(-z**2 - z + z) as t*z**3 + h + g*z**2 + m*z and give g. -8 Express (-4*b - 2*b - 5*b)*(-1 + 4 + 0 + (-1 + 0 + 0)*(2 - 2 - 2) - 2 - 1 + 2) in the form t*b + j and give t. -44 Rearrange (44544*i**3 + i**2 - 4 - 43001*i**3 + 3 + 2*i)*(2 - 2 - 2*i) to o*i**2 + p*i + v*i**3 + l*i**4 + w and give o. -4 Express -37*w**3 - 27*w - 8*w**2 + 98*w**3 - 2*w**2 - 28*w**3 - 35*w**3 in the form g*w + v*w**3 + t + q*w**2 and give v. -2 Express 2*c**2 + 148*c - 1 + 3160*c**4 - 3159*c**4 + c**3 - 1 in the form v*c**3 + m*c**2 + n + x*c + w*c**4 and give n. -2 Rearrange 10*s + 372 - 37*s + 13*s + 17*s to the form x*s + o and give o. 372 Express -50*i**4 - 4*i**4 + i**2 + i**3 - 2*i + 51*i**4 in the form j*i**4 + m*i**3 + b*i**2 + n*i + v and give j. -3 Express -68*f**3 + 16*f - 2 - 12*f - 8*f + 54*f**3 in the form h + u*f + z*f**3 + x*f**2 and give x. 0 Express 30*p + 3 + 5 - 3 - 4 - 3 as y + m*p and give y. -2 Express 9*z**2 - 2 + 2 - z + z**2 + z + 3 - z**2 - 3 + (2*z + 4*z - 7*z)*(-1 - 2*z + 1) - 15*z**2 - 229*z + 229*z as u*z + o + v*z**2 and give v. -4 Express (10*x - 1 + 0 + 1)*(6*x - 8*x + 7*x)*(26 - 5*x - 26) as k*x**3 + d + m*x + j*x**2 and give k. -250 Rearrange 6*g**2 - 3*g**2 + 59 - g**2 - 3*g**2 + g to m + l*g + y*g**2 and give m. 59 Rearrange (-89 - 18 - 66)*(14*h - 11*h - 35*h) to o*h + w and give o. 5536 Rearrange (15 - 15 + 8*f)*(-130*f - 152*f + 197*f) to n*f**2 + r + u*f and give n. -680 Rearrange -1678*l**2 + 838*l**2 + 208*l**3 + 843*l**2 + 195*l**3 to r + v*l + k*l**3 + t*l**2 and give k. 403 Express ((w + 6*w - 5*w)*(8 - 2 + 2) - w + 5 - 5 + (0 - 1 + 3)*(-3*w - 4*w + 5*w))*(-2 + 2 - 4*w) as c*w + r + f*w**2 and give f. -44 Express (88*p + 0*p + 45*p)*(1 - 1 + 1) as a*p + s and give s. 0 Rearrange (44 - 91 + 45 + c)*(-25 + 25 - 6*c) to the form s + i*c + j*c**2 and give s. 0 Express 21*d - 21*d - 8*d**3 + (-63*d**2 + 109 - 109)*(-3*d + 3*d + d) as l + r*d + z*d**3 + f*d**2 and give z. -71 Express -7 - 26*i - 3 + 20 - 10 as t + h*i and give h. -26 Rearrange (-4 + 4 - 1)*(95103 - 95103 - 688*v) to f + z*v and give z. 688 Express (-9 + 16 + 2*k**2 + 3)*(-8 + 19 + 14)*(1 - 1 - k) as p*k + b + z*k**3 + c*k**2 and give p. -250 Express 676 - 334 + 13*u - 343 + (-3*u + 2*u - 2*u)*(2 - 5 + 4) as l*u + p and give p. -1 Rearrange -3*d - 64*d + 13 + 44*d to r + m*d and give r. 13 Express 2*w**2 + 1 + 2*w - 1 + (19*w + 8*w - 12*w)*(-2*w + 4*w + 3*w) in the form p*w**2 + u*w + d and give p. 77 Express (120 - 70 + 200 - 674)*(j + 2*j - j)*(-2*j**2 + 0*j**2 + 0*j**2) as d*j**2 + w + k*j + p*j**3 and give p. 1696 Express (12*r**3 + 9*r**3 + 0*r**3)*(0 + 0 - 1)*(-132*r - 197*r + 227*r) in the form q*r**2 + b + f*r + l*r**3 + p*r**4 and give p. 2142 Express 0*x**3 + 60647*x**2 - 60645*x**2 - 2*x**3 + 8*x as w*x**2 + c*x**3 + i + g*x and give c. -2 Express -3*m**4 - 2*m - 2 - 6*m**3 - m**2 - m + m + 2*m**2 + 5*m**4 in the form b + o*m**4 + k*m**2 + i*m + y*m**3 and give k. 1 Express 6*x - 13 - 3 + 20 - 9 as v + d*x and give v. -5 Express 333*t**2 - 231*t**2 + 354*t**2 + 170*t**2 in the form o*t + y*t**2 + r and give y. 626 Express (3*z**3 - 3*z**3 + 5*z**4)*(-1 + 3 - 3) + (0*z**3 + z**3 + 0*z**3)*(-20*z - 20*z + 13*z) as u*z**4 + w*z**3 + l + o*z**2 + h*z and give u. -32 Express (-31 + 18 + 2*v + 8*v)*(0 + 1 - 2)*(3*v**2 - 5*v**2 + v**2) as m*v + s + a*v**3 + x*v**2 and give a. 10 Express -1 - 106*k**2 - 71*k**2 + 1 in the form u*k**2 + p*k + m and give u. -177 Express -2 + 11*o + 3*o**4 - 6*o**2 + 12*o - 5*o - 16*o in the form v*o**4 + i*o + h*o**2 + n*o**3 + f and give h. -6 Rearrange (-a + 3*a**2 + a)*(-3 + 1 + 4)*(124 + 85 + 76) to the form u + g*a**2 + s*a and give g. 1710 Rearrange h**2 + 4 + 1352*h - 2 - 1423*h - 1 to the form j*h + m*h**2 + u and give m. 1 Express (191*q**3 - 26227*q + 454*q**3 + 26228*q)*(4 - 1 - 1) in the form f + o*q**3 + y*q + h*q**2 and give y. 2 Rearrange (0 - 5 + 0)*((-1 + 3 + 0)*(2*o + 1 - 1) + (2 - 2 + 2*o)*(-5 + 1 + 3)) to the form g*o + a and give g. -10 Express -31*q**2 + 30*q**2 - 4 + 143*q + 4 - 2 in the form b*q**2 + k + s*q and give k. -2 Rearrange 1 - 14*u**4 + 2*u**2 + 2*u**3 - 77*u**4 - 41*u**4 - 5*u**3 to p*u**2 + q*u + m + k*u**4 + w*u**3 and give k. -132 Rearrange 213*x + 190*x + 33*x - 80*x to the form y*x + u and give y. 356 Rearrange (0 + 2*m + 0)*(74*m**2 - 9*m**2 + 0*m**2) - 4*m**2 - 4*m**3 + 4*m**2 to n*m + b*m**3 + r*m**2 + z and give b. 126 Express -387*i +
{ "pile_set_name": "DM Mathematics" }
4*v**3 + 11*v**2 - v. Determine x*k(u) + 4*y(u). -u**3 - u**2 - u Let q(x) = -3*x**2 + 6*x - 9. Let w(g) = -3*g + 31. Let k(a) = 17*a - 171. Let h(o) = 2*k(o) + 11*w(o). Give 6*h(d) - q(d). 3*d**2 + 3 Let g(c) = -898*c - 11. Let q(f) = -3. Give -g(w) + 4*q(w). 898*w - 1 Let z(s) = 2*s**3 + 47*s**2 - 3*s + 4. Let l(d) = -2*d**3 - 42*d**2 + 3*d - 3. Give 6*l(f) + 5*z(f). -2*f**3 - 17*f**2 + 3*f + 2 Let m be 6/(-27) - 319/(-99). Let n(w) = -4*w - 5. Let q(g) = -7*g - 9. What is m*q(c) - 5*n(c)? -c - 2 Let w(r) = 199*r + 216. Let c(h) = -99*h - 92. Determine 14*c(d) + 6*w(d). -192*d + 8 Let p(k) = 17*k**2 - 10*k - 10. Let s(x) = 6*x**2 - 3*x - 3. Suppose 2*h + 9613 = 9609. Determine h*p(c) + 7*s(c). 8*c**2 - c - 1 Let r(t) = -162*t**2 + 10*t - 1. Let l(h) = -485*h**2 + 36*h - 3. Give 2*l(s) - 7*r(s). 164*s**2 + 2*s + 1 Let h(l) = 1725*l + 1729*l - 5127*l - 10 + 1699*l. Let m(g) = -5*g + 2. Determine 3*h(s) + 16*m(s). -2*s + 2 Let l(k) = 14*k**3 - 2*k**2 - 5*k + 485. Let d(y) = 4*y**3 - y - 6. Give -3*d(h) + l(h). 2*h**3 - 2*h**2 - 2*h + 503 Let a(h) = h**2 + 30. Let j(d) = -10*d**2 - 2*d + 456. Determine -2*a(s) - j(s). 8*s**2 + 2*s - 516 Let n be (1 - (3 + -1)) + -1. Let p(s) = -5*s - 5*s + 3*s. Let f(k) = 100*k - 131*k - 5*k. What is n*f(l) + 11*p(l)? -5*l Let m(u) = -21*u - 16. Let x(h) = 5*h + 43. Let s(d) = 3*d + 12. Let a(p) = 4*s(p) - x(p). Calculate -7*a(o) - 2*m(o). -7*o - 3 Let b(t) be the first derivative of 19*t**4/4 + 133*t**3/3 + 133*t**2/2 - 2636. Let l(a) = a**2 + a. Determine 2*b(o) - 266*l(o). 38*o**3 Let t(h) = -13*h**3 - 2*h**2 - 12*h. Let m(c) = 29*c**3 + 4*c**2 + 20*c + 1. Give -3*m(z) - 7*t(z). 4*z**3 + 2*z**2 + 24*z - 3 Let i(a) = 13*a - 19. Let l be (22 - 25) + 14 + (-28)/(-4). Let b(x) = -2. Calculate l*b(m) - 2*i(m). -26*m + 2 Let a(x) = -11*x + 4. Suppose 0 = 5*n - 4*f - 42, 3*f = 4*n - 5 - 28. Let g(t) = 5*t - 2. Determine n*a(i) + 13*g(i). -i - 2 Suppose u = -2*y - 8, 174*y + 2*u = 177*y - 9. Let c(r) = -9*r**2 - 27*r. Let b(f) be the third derivative of -f**4/24 - 8*f**2. Determine y*c(v) + 27*b(v). 9*v**2 Let y(u) = -21*u - 6 + 68*u - 23*u - 21*u + 3. Let m(i) = -20*i + 20. Determine 5*m(j) + 32*y(j). -4*j + 4 Let z = -4 + 13. Let v(c) = 7*c - 17. Let i(a) = -23*a - 12. Let d(p) = -64*p - 31. Let m(k) = 4*d(k) - 11*i(k). Determine z*m(l) + 4*v(l). l + 4 Let h(y) = y**3 - 2*y**2 + 5. Let x be h(2). Suppose -3*p + 4*s - 16 = -3, -x*p = 5*s + 10. Let v(b) = 19*b**2. Let j(c) = 9*c**2. Give p*v(g) + 7*j(g). 6*g**2 Let n(k) = 22*k + 6. Let o(t) = 33681 - 67372 - 11*t + 33688. What is -6*n(g) - 11*o(g)? -11*g - 3 Let t(f) = 9*f. Let m(p) = -45*p. Let k(b) = m(b) + 3*t(b). Let j(l) = 18*l. Determine -6*j(g) - 5*k(g). -18*g Let p(w) = 339*w + w**3 + 4*w**2 + 5*w**3 - 333*w - 8*w**2. Let u(c) = -c**3 + c**2 - c + 1. What is p(y) + 4*u(y)? 2*y**3 + 2*y + 4 Let c(f) = -f**3 + 4*f**2 + 333*f - 6. Let o(d) = -4*d**3 + 13*d**2 + 992*d - 20. Give -7*c(x) + 2*o(x). -x**3 - 2*x**2 - 347*x + 2 Let z(o) = 142*o - 3981. Let p be z(28). Let r(m) = -m**2 - m. Let t(d) = 3*d**2. Let l be (-1 + -1)/((-4)/(-2)). Calculate l*t(s) + p*r(s). 2*s**2 + 5*s Let r(v) = v**3 - 20*v**2 - 29*v + 163. Let y be r(21). Let j(g) = g**3 + 3*g**2 + 3*g. Let h(b) = -2*b**3 - 7*b**2 - 6*b. Calculate y*j(u) - 3*h(u). u**3 + 6*u**2 + 3*u Let m(v) be the third derivative of -7*v**5/30 + 54519*v**2. Let i(h) = h**2. Let z be (1/(-2))/((-1)/(-2)). Determine z*m(w) - 12*i(w). 2*w**2 Let l(s) = 1746*s + 7. Let k(r) = 3500*r + 16. What is 3*k(o) - 7*l(o)? -1722*o - 1 Let m(p) = 3*p**2 + 520*p + 17. Let w(z) = -z**2 - 260*z - 7. Determine -4*m(c) - 10*w(c). -2*c**2 + 520*c + 2 Let x(p) = -p**3. Let u(a) = -a**2 + 5. Let t = 114 - 112. Let c be u(t). Let m(o) = -6*o**3 - 3*o**2. Calculate c*m(b) - 4*x(b). -2*b**3 - 3*b**2 Let x(u) = 175*u**2 - 17*u + 17. Let p(z) be the third derivative of -29*z**5/60 + z**4/8 - z**3/2 + 2*z**2 + 3*z + 74. Calculate 34*p(b) + 6*x(b). 64*b**2 Let g(k) = -k**2 - 1. Let w(l) = -5*l**2 + 2*l + 12. Let m(v) = -290*v**2 + 115*v + 685. Let s(y) = -2*m(y) + 115*w(y). Calculate -18*g(t) - 2*s(t). 8*t**2 - 2 Let x(f) = -7*f**3 + 8*f**2 + 3. Let n(c) = 69*c**3 - 81*c**2 - 29. Let v(s) = -2*n(s) - 21*x(s). Let z(o) = 26*o**3 - 17*o**2 - 15. Give 17*v(d) - 6*z(d). -3*d**3 + 5 Let x(h) = 4*h**2 - 2*h - 97 + 36 + 33 - 5*h**2 + 26. Let c be -2 - ((-12)/2 + 1). Suppose -6*d = -3*d - c. Let y(j) = j - 1. Calculate d*y(b) + x(b). -b**2 - b - 3 Let c = 36 + -63. Let g = 29 + c. Let b(r) = -4*r**2 + 10*r + 1. Let v(j) = -2*j**2 + 0*j**2 + 3*j + j**2. Determine g*b(y) - 7*v(y). -y**2 - y + 2 Let f(p) be the third derivative of -2*p**4/3 - 2*p**3/3 - 187*p**2. Let t(c) = -17*c - 3. Calculate -3*f(n) + 4*t(n). -20*n Suppose -2*l - 5*w + 81 - 124 = 0, 4*l = -3*w - 9. Let g(h) be the first derivative of -h**2/2 + h - 2. Let a(i) = -i**2 - 4*i + 8. Give l*g(y) - a(y). y**2 - 2*y - 2 Let n(c) = -4*c**2 - 28*c + 7. Let g(u) = -u**2 - 33*u + 6. What is 3*g(j) - 2*n(j)? 5*j**2 - 43*j + 4 Let t(r) be the second derivative of r**5/20 - r**4/4 - 5*r**3/6 - r**2/2 + 1286*r. Let o(n) = n**3 - n**2 - n - 1. Give -3*o(m) + t(m). -2*m**3 - 2*m + 2 Let v(x) = 12633*x**2 - 4*x + 4. Let p(y) = -23926900*y**2 + 7575*y - 7575. Give -4*p(i) - 7575*v(i). 12625*i**2 Let h(r) = -796*r**3 - 100*r**2 + 43*r + 6. Let f(q) = -114*q**3 - 14*q**2 + 6*q + 1. Calculate 43*f(j) - 6*h(j). -126*j**3 - 2*j**2 + 7 Let h(r) = -2*r - 5. Let n(u) = -51*u + 21 - 37*u + 140*u - 44*u. Give -26*h(p) - 6*n(p). 4*p + 4 Let y(x) = -x**3 - x**2 - x - 1. Let j(u) be the third derivative of -u**5/4 - 5*u**4/8 - 5*u**3/2 + 1467*u**2. Determine -2*j(n) + 30*y(n). -30*n**3 Let f(j) = -2*j - 2. Let l(n) = -2*n - 87. Determine 6*f(m) - 2*l(m). -8*m + 162 Let p(t) = 21*t + 18. Suppose 0 = 4*r - 3*r + 5 + 13. Let o(b) be the third derivative of b**4/24 + b**3/6 - b**2. Determine r*o(m) + p(m). 3*m Let n(q) = -q**3 - q**2 + q. Let v(m) be the third derivative of 0 - 66*m**2 + 0*m**3 - 1/10*m**5 + 1/24*m**4 - 1/40*m**6 + 0*m. Calculate -4*n(b) + v(b). b**3 - 2*b**2 - 3*b Let w(r) = 3*r + 2. Let l(k) = 23*k - 1. Let c(i) = -i + 1. Let g(a) = -17*a - 5. Let p(u) = 4*c(u) + g(u). Let z(d) = 4*l(d) + 5*p(d). What is 9*w(v) + 2*z(v)? v Let c(g) = -11*g**2 - 5*g + 2. Let l(k) = -5*k**2 - 2*k + 1. Let u = 19 + -24. Let x(w) = -w**3 - 7*w**2 + 2*w + 62. Let t be x(-5). Calculate t*c(q) + u*l(q). 3*q**2 - 1 Let y(w) = 1915*w - 3. Let q(x) = -956*x + 1. Calculate 5*q(u) + 2*y(u). -950*u - 1 Let g(l) = -2233*l**2 + 145*l + 145. Let f(v) = 62*v**2 + 0*v - 37 - 42 + 133 - 4*v - 58. What is -145*f(z) - 4*g(z)? -58*z**2 Let g(u) = 155161*u - 77582*u - 77583*u. Let c(o) = -9*o**2 - 28*o. Calculate -4*c(q) + 28*g(q). 36*q**2 Let p(o) = o**3 - o**2 + o + 2. Suppose -3*l - 99 = -10*l - 26*l. Let m(w) = w**3 + 2*w + 3. Determine l*p(y) - 2*m(y). y**3 - 3*y**2 - y Let m(j) = j**2 - 1. Suppose -5*p + 10 = 15. Let n(t) = -4*t**2 + t**3 - 711 - 3*t**3 + 708 - t + 6*t**2 + 4*t**3. What is p*n(v) + 3*m(v)? -2*v**3 + v**2 + v Let u(m) = 134*m. Let i(s) = s - 1. Determine -6*i(z) - 2*u(z). -274*z + 6 Let z(q) = 17660*q**2 + 65*q + 195. Let p(o) = -803*o**2 - 3*o - 9. Calculate -130*p(s) - 6*z(s). -1570*s**2 Let n(c) be the second derivative of -13*c**3/6 - 5*c**2/2 + 2188*c. Let x(l) = -27*l - 11. Calculate -13*n(y) + 6*x(y). 7*y - 1 Let u = 19 - 25. Let x(z) = z**2 + 3. Let c(b) = 10*b**2 - 8*b + 13. Let q(s) = 21*s**2 - 18*s + 25. Let d(v) = 9*c(v) - 4*q(v). Give u*d(j) + 34*x(j). -2*j**2 Let o(f) = -15*f - 2. Let j(w) be the third derivative of w**4/3 + w**3/6 - w**2 + 74*w - 4. Determine -11*j(h) - 6*o(h). 2*h + 1 Let f(t) = -76*t**3 - 5*t**2 + 12*t + 2. Let m(n) = 152*n**3 + 12*n**2 - 30*n - 4. Determine -5*f(u) - 2*m(u). 76*u**3 + u**2 - 2 Let z(d) = -125*d**3 - 11*d**2 + 118*d + 19. Let j(y) = -42*y**3 - 4*y**2 + 40*y + 7. What is 8*j(t) - 3*z(t)? 39*t**3 + t**2 - 34*t - 1 Suppose 16 = -5*a - 14. Let h(i) be the second derivative of i**5/20 + i**4/12 - i**3/6 - 91*i - 77. Let v(q) = -2*q**3 - 9*q**2 + 6*q. Give a*h(k) - v(k). -4*k**3 + 3*k**2 Let t(g) = 8*g**2 + 22*g + 1. Let d(u) = 33*u**2 + 87*u + 4. Give 6*d(k) - 26*t(k). -10*k**2 - 50*k - 2 Let z(y) = -4*y**2 - 4*y + 1. Let t(i) = 21*i**2 + 20*i - 5. Let k(l) = -l**2 - 64*l - 2
{ "pile_set_name": "DM Mathematics" }
-1/3295 What is the closest to 1/2 in 0.2649, 4, -4, 72? 0.2649 What is the closest to 5 in 4, -165, -0.9, -90, -0.2? 4 What is the nearest to -5.4134 in -0.4, 5, -3/7, -0.39? -3/7 Which is the nearest to -2/17? (a) 3.8 (b) -3/4 (c) -1/6 (d) 5/6 (e) 2/209 (f) 3/19 c Which is the nearest to 0.1? (a) 0.4 (b) 0.3 (c) -1/8 (d) -4235 (e) 674 b Which is the nearest to 1095/8? (a) 0.32 (b) 4 (c) -5 (d) -4 b Which is the closest to -1/116? (a) 0.6 (b) -0.3 (c) -9 (d) -0.95 (e) 0 e What is the closest to 361/4 in -12.44, -7, -0.4? -0.4 What is the nearest to 375.3 in 2/33, 0.03, 2? 2 Which is the nearest to 1/4? (a) -2.5 (b) -0.066 (c) 0.3 (d) -0.04 (e) 4 c Which is the closest to -1/8? (a) 19 (b) -87 (c) -2/7 c What is the nearest to -0.2 in -67/4, -2732/9, -1/2? -1/2 What is the closest to -4 in 6/11, 2/3, 1.1, 0.76, 3? 6/11 Which is the closest to -89? (a) -1/4 (b) 0.5 (c) -1/3 (d) -4 (e) -2.08 d What is the nearest to 1/255 in -1, -21.4, 1/5, 0? 0 What is the nearest to -1 in -0.4, -4510, -430? -0.4 Which is the nearest to 4? (a) -8 (b) -5 (c) -3 (d) -3/13 (e) -7/117 e What is the nearest to 1 in -3/7, -5, -0.01, -13, -51, -555/7? -0.01 What is the nearest to 131 in -3, -2/53, -0.09? -2/53 What is the closest to -2/3 in 4/27, 2, -3, -0.5, -833? -0.5 What is the closest to 0 in 2/33, -60, 3, -0.2, 2/25? 2/33 Which is the nearest to 0? (a) 5/2 (b) -332.21 (c) -5 (d) -0.4 d What is the closest to -74 in 0.15, 0.2, 277, 0? 0 Which is the closest to 2/11? (a) -2/145 (b) -4 (c) -214.2 a Which is the nearest to 0.4? (a) -0.339205 (b) -1 (c) 1/6 c Which is the closest to -1.95? (a) 0.08 (b) 19 (c) -1/4 (d) 1 c What is the nearest to -0.6 in 9104, 710, -1/3? -1/3 Which is the nearest to -2? (a) -235.3 (b) -2 (c) -0.1 (d) -95 (e) -1.4 b What is the closest to 0.03 in 2/659, 4, -1/4? 2/659 What is the closest to -4/7 in -46, -5, -2/17, 5, 0.06? -2/17 What is the nearest to 1 in -0.33, 0.3, -0.5, 52, -8.7? 0.3 What is the nearest to 1/4 in -1, -2/3, -76, 5.4631, 3/5? 3/5 What is the closest to 1 in 4/815, 0.4, -2/3, 13, -5? 0.4 Which is the closest to 1/2? (a) -13 (b) 27512 (c) 40 a Which is the closest to -0.351? (a) 11 (b) 1/6 (c) -0.1 (d) -21 (e) -0.409 (f) 3 e What is the nearest to 2/7 in -0.3, 4, 102, 93/13, -0.4? -0.3 Which is the nearest to 0.3? (a) 0.07 (b) -0.7 (c) -3.027 (d) -14 (e) -1/9 (f) -3 a Which is the closest to -682? (a) -15 (b) -0.4 (c) 2 (d) 45 (e) -3 a Which is the nearest to 8? (a) 1 (b) -10/27 (c) -2 (d) 1.7 d What is the closest to -7/4 in -4, 32, -11, -0.02? -0.02 Which is the closest to -0.2? (a) -89 (b) 257/2 (c) 4/43 c Which is the closest to -12? (a) -2/265 (b) 11 (c) -0.023 (d) 25 c Which is the nearest to 0.2? (a) -21/104 (b) 0 (c) -4.8 b Which is the closest to 0.03? (a) 36/7 (b) 5 (c) -226 b What is the nearest to 0.029 in -95, -6, -1/5? -1/5 What is the closest to -1822 in -3, -2/3, 0.11, -5? -5 What is the nearest to -11050 in -10, -0.4, -4, 0.5? -10 Which is the closest to -1? (a) 4 (b) 0.609 (c) -13.1 (d) -1 (e) -2 (f) 1/4 d What is the closest to 0.1 in -1, -249, 16, -31/6? -1 Which is the nearest to -15? (a) -0.1 (b) 70 (c) -1 (d) 2 (e) -5 e What is the closest to 2 in -0.1, -1/5, 1/3, 116/13, 2/3? 2/3 What is the closest to 1 in -2/95, -1/83, 2/3, -0.3, -0.04, 4.7? 2/3 Which is the nearest to 0.5? (a) -2/7 (b) -1846 (c) 0.1 (d) 28 c Which is the nearest to -5? (a) -0.5 (b) 2 (c) -4470/11 (d) -2/17 a What is the nearest to -1 in 0, -199, -2/3, 4, -1/3, 2/29? -2/3 What is the closest to 1 in 3, 272/501, 1, -88/5? 1 What is the nearest to -1 in -627835, -0.3, 1/4? -0.3 Which is the closest to 1/406? (a) -1/43 (b) 3 (c) -3 (d) -0.5 (e) -5 a What is the nearest to -7 in -0.2, 1029, 2, -7, 8.7, 5? -7 Which is the closest to 430.3? (a) -9 (b) 5 (c) 1/6 (d) 1 b What is the closest to -681 in -1/33, 0.4, -0.7, 2, 5? -0.7 What is the closest to -1 in 2/3, -3/2, 0.4, -114, -3/14? -3/2 Which is the closest to -5? (a) -3 (b) 5 (c) -5 (d) 1493 c What is the nearest to 0.1 in 347921.9, 0, -7/5, -0.4, 0.5? 0 What is the closest to 1/2 in -5/4, 2, -5.2, 1/7, 14? 1/7 Which is the closest to -0.3? (a) -7269.1 (b) -2 (c) 12 b What is the closest to 14/13 in 0, 21, 1, -0.2, -45/16? 1 Which is the nearest to 0.01? (a) 5 (b) -2/359 (c) 0.07 (d) -12/19 b What is the closest to -31 in -2/11, -15.3, 0.1, 3, 17/4? -15.3 What is the nearest to 1/5 in -240/2479, -43, 3/7? 3/7 Which is the nearest to -1? (a) 2/7 (b) 19 (c) -0.1168 (d) 0.78 c What is the closest to 545 in 9, 4, 7/5, 0.5, -1/11? 9 Which is the closest to -58? (a) 3/4 (b) -14.4 (c) 0 (d) 5 (e) 7 b Which is the nearest to -1/22? (a) 11498 (b) -0.1 (c) -2 (d) -4/9 b Which is the closest to 1? (a) 0.3 (b) -2/747 (c) -501 a Which is the nearest to 13? (a) -2/21 (b) -3/7 (c) -13/15 (d) -0.3 (e) 0.5 e Which is the closest to 0.1? (a) 3/7 (b) 2/5 (c) -45 (d) 3/2 (e) 22 b What is the closest to -3/5 in 1/3, 284, 2, -238? 1/3 What is the closest to 1 in -0.2, 8, 7047, 0.3? 0.3 Which is the closest to -0.27? (a) 29 (b) -116 (c) -18 (d) 0.4 (e) -1/4 e What is the closest to -1/11 in 0.1, -2, -2990, 0.3, -2/13? -2/13 Which is the closest to 1/6? (a) -6 (b) -148 (c) 0.3 (d) -1/2 c What is the nearest to -131 in -21, -20, -1/2? -21 Which is the closest to -99? (a) 2/15 (b) 0 (c) 2/13 (d) 90 b Which is the nearest to 40.32? (a) -0.1 (b) -2 (c) -1/4 (d) 3/16 (e) 1 e What is the nearest to -0.15 in 0.2, 288, 219? 0.2 What is the closest to 1 in -155, 24, -7, -1.76? -1.76 What is the closest to 158 in 5156, 0.5, 4? 4 What is the closest to 11 in -2/11, -67, -4, 1/1079? 1/1079 Which is the closest to 16? (a) 1.8 (b) -2/3 (c) 9 (d) -3/5 (e) 0.2 c Which is the closest to -235917? (a) -0.8 (b) -1 (c) 2/5 b What is the nearest to 27 in -0.2, -198.1, 1/6? 1/6 Which is the nearest to 6281? (a) -2/7 (b) -0.4 (c) 278 (d) -4 c Which is the closest to -1/3? (a) 11 (b) -28/17 (c) -1/10 c What is the closest to 0.2 in -2/5, -101, -2, 5/3, 1523? -2/5 What is the nearest to 0.3 in -4802, 4585, -1/2, 2/9? 2/9 Which is the closest to 0.4? (a) 0.4 (b) -0.09 (c) -3 (d) 0.1 (e) 0.4632 a What is the nearest to 1/4 in 0.15, -0.4, 1, -212, -136, 0? 0.15 Which is the closest to 0.17? (a) -156 (b) -1/3 (c) -1/2 (d) 1 (e) -2/1963 e Which is the closest to -0.4? (a) 2 (b) -1.5 (c) -0.01 (d) 165 (e) 0.2 c Which is the closest to -17.12? (a) -0.23 (b) -1.9 (c) 0 (d) 1 b Which is the closest to -3.5? (a) -0.01 (b) -31 (c) 44 a Which is the closest to 0.46? (a) -3 (b) -0.06 (c) -4 (d) -175 b What is the closest to 0.3 in 4, 0, 24, -2/65? 0 Which is the nearest to 657? (a) 5 (b) -78/77 (c) -6/7 a Which is the closest to 3? (a) -508/3 (b) 1/2 (c) -4 (d) 1/269 (e) 0 b Which is the closest to 0.0616? (a) 80 (b) -4 (c) 8/5 (d) 4 c Which is the nearest to 10/7? (a) -67 (b) -1 (c) -4/7 (d) -1336 (e) -1/4 e Which is the nearest to 2/31? (a) -25.1 (b) -0.26 (c) -2 (d) -1 (e) -3/2 (f) -1/5 f Which is the nearest to -1? (a) -10 (b) 83 (c) -2/617 (d) -3 c Which is the nearest to 1/2? (a) 0.2 (b) 4 (c) 2/21 (d) 2.5687 a What is the closest to 0.2 in 11080.89, -4, -5, -0.5? -0.5 Which is the closest to 0.06? (a) -73 (b) 5 (c) -2091 (d) 1 d What is the closest to -0.8 in 5, -0.1, -3/97673, 2/9? -0.1 What is the closest to 5 in -4, -6/11, -12113? -6/11 Which is the closest to -0.35? (a) -0.7 (b) -1 (c) 3.4 (d) -0.4 d What is the nearest to -0.48 in -40689, -0.1, 1/5, 1/7, -2/3, -1? -2/3 Which is the nearest to 1/3? (a) -210 (b) 16 (c) -1 (d) -2 (e) -0.2 e Which is the closest to -1? (a) -5 (b) -1 (c) 32086 (d) 6.6 b What is the nearest to 1/4 in -3, -0.1, -8/3, 14/201, -4? 14/201 Which is the closest to -5? (a) -138 (b) -13 (c) -3 (d) 0.1 (e) -24 c What is the closest to -1/4 in -30, 31, 0.6, -66? 0.6 Which is the nearest to -7/8? (a) 1/2 (b) -4/9 (c) 79/16 (d) -0.2 (e) 0.28 b What is the closest to 0 in 30, 0.9, 0.1, 10.6? 0.1 What is the nearest to 12159 in -0.5, 5/3, -2? 5/3 What is the closest to -2.1 in 5, -1/6, 2/25, 1/5, -353/3? -1/6 What is the closest to -7342 in
{ "pile_set_name": "DM Mathematics" }
4). Let d = -9 - -8. Sort -3, d, w. -3, d, w Let m = 26 - 24. Sort m, -4, -5 in descending order. m, -4, -5 Suppose -28 + 3 = -3*a + 5*i, -10 = -4*a - 5*i. Suppose -4*u + 2*u = 8. Put -3, a, u in decreasing order. a, -3, u Let u be (1 - (-1 - -6)) + -2. Let r be (-3)/(u - 2/(-1)). Suppose -t - 5 = -1. Sort -2/21, r, t in increasing order. t, -2/21, r Suppose -5*z + 3 = -57. Let l = -9 + z. Let t = l - -1. Sort -4, t, -2 in ascending order. -4, -2, t Let d = 0.064 - -3.236. Let j = -0.3 - -3.3. Let z = j - d. Sort z, -1/4, -1/2. -1/2, z, -1/4 Let n be ((-12)/(-21))/(3/21). Suppose -n*v - 28 = 5*u, 0 = 5*v + 3*u - 13 + 35. Sort -1, v, 3. v, -1, 3 Suppose 4*a = 13 + 3. Let l = -4 + a. Suppose -5*p - 26 = 2*f, p = -2*p + 4*f. Put l, p, 2 in decreasing order. 2, l, p Let y = 0.18 + -15.18. Let l = -15.5 - y. Let v(x) = x**2 + 4*x - 1. Let d be v(-5). Sort -5, l, d in ascending order. -5, l, d Let u(i) = i**3 - 3*i + 2. Let n be u(2). Let p = -7 - -2. Let d = -7 + 4. Sort p, d, n in ascending order. p, d, n Let l = 42 - 37.4. Let s = l - -0.4. Sort 0.3, s, 2/15 in decreasing order. s, 0.3, 2/15 Suppose 1 = -2*b - 3. Let y be 16/12*-51 - -3. Let w be 11/(-13) - (-10)/y. Sort w, -5, b in descending order. w, b, -5 Let d(i) = -4*i**2 - 5*i - 2. Let t be d(-2). Put t, 2/15, 1 in ascending order. t, 2/15, 1 Let l be (25/2)/(-5)*2. Let q = -7 - l. Sort -5, q, 3 in decreasing order. 3, q, -5 Let s(z) = 12*z**2 + z. Let p be s(-1). Suppose -5*x - p = -1. Let r(i) = i**3 + 3*i**2 - 6*i - 6. Let d be r(-4). Sort x, -3, d in decreasing order. d, x, -3 Let n = 27 + -24. Suppose -2*b + 2 = -0*b. Put b, n, -4 in increasing order. -4, b, n Let n = -10 - -14. Let i(z) = -18 + 2*z + 3*z - z**2 + 13 + 4*z. Let l be i(8). Sort n, -5, l. -5, l, n Let f be (-84)/22 + (-20)/110. Let x = 1 - f. Put 3/2, x, 1/8 in decreasing order. x, 3/2, 1/8 Suppose 0*a = a. Let k be (-1)/(8/2) - a. Let g = -8 + 4. Sort g, 2, k in decreasing order. 2, k, g Suppose 5 = -2*l - l - 4*w, -3*l + 5*w + 13 = 0. Let q be 1*0*l/3. Suppose 4*m - 10 = -x - q, 4*m - 8 = 0. Sort 5, -3, x in descending order. 5, x, -3 Let i(s) = -s**3 - 3*s**2 + 6*s + 6. Let z = 1 - 11. Let j = 6 + z. Let r be i(j). Put 4, 2, r in decreasing order. 4, 2, r Let g = -5.7 + 6. Let p = -3.6 + 3.5. Put g, p, -5 in ascending order. -5, p, g Let y = 3 + -2.8. Let v = -3.8 - y. Sort -1, v, -0.3 in ascending order. v, -1, -0.3 Suppose 0*o = 9*o + 18. Sort -24, 0, o. -24, o, 0 Suppose 8 + 12 = 4*i - 3*r, 3*r = i - 14. Suppose 0 = -2*a + i*g, 4*g = a + g. Sort 2, a, -1. -1, a, 2 Let g = 34 - 205/6. Suppose 3*f = -4*w - 2, -3*w + 4*f - 3 = 7*f. Put w, -0.3, g in decreasing order. w, g, -0.3 Suppose -2*n - 4*y - 8 = -0*n, -4*n - 13 = 5*y. Sort 2/11, -3/4, n, 0.07. n, -3/4, 0.07, 2/11 Let q = -4 + 1. Let i be (-25)/(-15)*(0 + q). Put 0, i, -3 in ascending order. i, -3, 0 Let a be (7 - -7) + (-1)/(-1). Suppose 3*m + 0*m = -a. Sort m, 4, -4. m, -4, 4 Let b = -5.09 - -5. Sort 5, b, -0.5 in descending order. 5, b, -0.5 Let v be (-10)/84*-2 - (-31)/93. Put -10, -0.3, v in decreasing order. v, -0.3, -10 Suppose 0 = -5*s - 0*s. Suppose 0 = -3*z + 2*r + 15, -5*z + r + 25 = 2*r. Put -4, s, z in increasing order. -4, s, z Let t(b) = -b + 13. Let w be t(0). Sort 0.3, -0.2, w in descending order. w, 0.3, -0.2 Let o = 0 - 11. Let n = o - -16. Put -2, n, 3 in descending order. n, 3, -2 Let g = -19 - -17. Suppose -2*j - 6 = -4*n + 3*n, -2*j = -5*n + 30. Suppose 0 + n = 2*c. Sort g, -4, c. -4, g, c Let l = -1/139 - -563/973. Put -2/5, -5, l in descending order. l, -2/5, -5 Suppose 3*f - 4 = 4*f. Let q = 0 + f. Let w be -7 + (6 - 3) + 1. Sort w, q, 0 in increasing order. q, w, 0 Let i = -13 + 4. Let q be 4/(-18) + (-47)/i. Sort -4, q, -5. -5, -4, q Suppose 4*k = -3*n - 0*k - 4, -8 = n + 3*k. Suppose 3*z - 4*z + 9 = -2*a, -2*z = 5*a. Sort a, 1, n in decreasing order. n, 1, a Let y = 37.4 - 37. Let b = 2.96 - 3. Let t = -2.04 - b. Sort y, t, -0.3 in ascending order. t, -0.3, y Let j(a) = 108*a - 3. Let u be j(2). Let l = u + -2337/11. Put l, 2/7, -1/4 in decreasing order. l, 2/7, -1/4 Let d = 6 - 4. Suppose 2*a - 3*a - 4 = 0, 4*a = s - 11. Put d, 1, s in decreasing order. d, 1, s Let x(k) = -k**3 + 11*k**2 - 18*k. Let p be x(9). Sort 1, p, -7. -7, p, 1 Suppose -3*i - 16 = i. Put -2, -3, i in decreasing order. -2, -3, i Let q = 1.3 + 4.7. Let b = -38 + 43. Let y = b - q. Sort 0, -2, y. -2, y, 0 Let i = -155 - -153. Put 2/17, 1, 0.1, i in descending order. 1, 2/17, 0.1, i Let f be (-14)/6 - 3/(-9). Put f, -1, -3 in decreasing order. -1, f, -3 Let z = -128/3 - -42. Let o = 18/7 + -155/63. Sort o, z, -0.5. z, -0.5, o Let t = 3 + -12. Let g be (-35)/45 + 2/t. Sort 4, g, -3. -3, g, 4 Let w = 0.3 + -0.1. Suppose 0 = -t - t - b + 1, b = -5. Put w, 0.1, t in decreasing order. t, w, 0.1 Let s(q) = -4*q - 1. Let j(k) = -3*k - 1. Let m(v) = 7*j(v) - 5*s(v). Let z be m(-11). Put z, -3, -2 in decreasing order. z, -2, -3 Let o(s) = -2*s - 6. Let f be (1 + (3 - 2))*-2. Let t be o(f). Suppose -2*j = -5*p + 8, 0*p + 3*p = 4*j + 2. Sort -1, t, j in decreasing order. t, j, -1 Let i be -1 - 8 - (-5 - -2). Let h = -0.8 + 1. Sort h, 0.3, i in increasing order. i, h, 0.3 Let t = 41 + -28. Let g = 17 - t. Let q = 0.1 + 0.3. Put 1/4, q, g in descending order. g, q, 1/4 Suppose -14 = -5*h - 3*p, -4*h - 5*p + 5 = -1. Sort 17, -2, h in decreasing order. 17, h, -2 Suppose -5*j - 7 = o, -2 - 5 = 5*o - 3*j. Sort 1, o, -7, -1 in increasing order. -7, o, -1, 1 Let z = 119.5 + -120. Sort 0, 0.3, z. z, 0, 0.3 Let a = 0 - -0.4. Let m = -0.9 - 3.1. Let t be 0/3 - 3 - -2. Sort m, a, t in descending order. a, t, m Let s = -35.42 + 32.4. Let q = 0.02 + s. Sort 2, q, -2/3 in descending order. 2, -2/3, q Let i = 1 + 3. Let h be 0 - (4 - (-54)/(-13)). Sort h, i, 2/9 in decreasing order. i, 2/9, h Suppose 3*o - u - 28 = 0, -5*u = 4*o - u - 16. Let t be (o/12)/((-2)/(-3)). Let b = -8 - -6. Sort 2, b, t in decreasing order. 2, t, b Let c be 1 + (1 - (1 + 4)). Suppose 4*r - 2*j - 8 = 0, -j + 0 + 4 = 0. Put 5, c, r in ascending order. c, r, 5 Let t be (-3)/(-4)*(-8)/(-10). Let n = 3.84 + -4.54. Sort n, t, 0.5 in descending order. t, 0.5, n Suppose -2*i - 65 = -5*v - 0*i, -3*i + 13 = v. Let s(k) = k**2 - 17*k - 2. Let z be s(17). Put v, 4, z in ascending order. z, 4, v Let a(g) be the third derivative of -5*g**4/24 + 2*g**2. Let q be a(-1). Let t = -3 - -6. Sort 2, t, q in ascending order. 2, t, q Let q be 30/(-16)*1/((-9)/6). Put -1/2, -1/5, q in increasing order. -1/2, -1/5, q Let d = -1/52 + 79/52. Put d, -0.3, -1/4 in ascending order. -0.3, -1/4, d Let i = 5.7 - 6. Sort 0.1, 0, i in decreasing order. 0.1, 0, i Let j(i) = i + 11. Let m = -16 - -6. Let n be j(m). Let l(z) = -z + 1. Let w be l(-3). Put n, -3, w in ascending order. -3, n, w Let b(g) = 6*g - 41. Let w be b(6). Put w, -0.5, -2/7, 5 in descending order. 5, -2/7, -0.5, w Suppose 4*d + d - 5*y - 10 = 0, 4 = -d + 4*y. Suppose -2*f = d*r + 2 - 0, 4*r + 17 = f. Suppose i = 5*i + o - 3, -2*i + 5*o + 29 = 0. Sort i, -4, r. -4, r, i Let z(w) = -w**2 - 12*w - 14. Let s be z(-6). Let v be 1 - (-30)/s - 2. Put v, -0.4, -1 in decreasing order. v, -0.4, -1 Let w(a) = a**2 + 4*a. Let d be w(-4). Suppose -3 = -o - d. Put -3, -1, o in decreasing order. o, -1, -3 Suppose 5 + 5 = 2*v. Let k = 6 - v. Sort 2, -1, k in increasing order. -1, k, 2 Suppose -5*w = -4*k + 25, 0*w = 3*w + 4*k - 17. Let i be -1 - w - (-2 + -2). Put 0, 5, i in ascending order. 0, i, 5 Let o(n) = n**3 + 8*n**2 + 2*n + 19. Let h be o(-8). Sort 2, -4, h. -4, 2, h Suppose -2*t - 3*w = -18, 2*w + 1 - 9 = 0. Suppose -2*k - 3*o = 2*o + 15, -o - t = -5*k. Sort k, 4, -1 in descending order. 4, k, -1 Suppose -5*b = -b + 16. Let c be 50/18 + 6/27. Sort b, c, 1 in increasing order. b, 1, c Suppose z = -4*x + 10, 3*x + 6 = 5*z + 2. Put x, 0, -5, 5 in decreasing order. 5, x, 0, -5 Let l be (8/(-5))/(8/(-20)). Put 0, l, 1 in increasing order. 0, 1, l Let d(w) = 2*w - 9. Let m be d(7). Let n be 46/(-10) + 2/(-5). Put m, n, 2 in decreasing order. m, 2, n Suppose -4*y - j = 6 + 8, y = -5*j - 13. Let z be ((-30)/10)/((-3)/(-22)). Let f be 55/z*(-2)/(-30). Sort f, y, -0.4 in descending order. f, -0.4, y Let u = -73 + 72.6. Sort 0, -1, -2/13, u in decreasing order. 0, -2/13, u, -1 Let s be (-152)
{ "pile_set_name": "DM Mathematics" }
l. Suppose 3*t + 2*x = p, 4*t + t + 4*x - 282 = 0. Is 41 a factor of t? False Suppose 3*j - 4*m = 59, -5*j = -5*m + 1 - 91. Suppose 0 = 6*x + j*x - 3762. Does 21 divide x? False Let t = -18 + 172. Suppose t + 451 = -11*w. Let p = -35 - w. Does 6 divide p? False Suppose 4*h = -a - 73 - 42, 0 = 3*h. Let v = 150 - a. Is v a multiple of 14? False Let z(g) = 74*g + 159. Let x(y) = -y**3 - 7*y**2 + 2*y - 43. Let i be x(-8). Is z(i) a multiple of 23? True Let g(w) be the first derivative of w**4/2 - 10*w**3/3 + 7*w**2 - 6*w + 1. Suppose 12*x = 554 - 482. Does 24 divide g(x)? False Let x = -54 + 127. Suppose 0 = 3*u - 4*i + 2*i - 83, -3*u + 4*i + x = 0. Suppose -183 = -2*y - 2*z + u, -113 = -y - 3*z. Is y a multiple of 13? True Suppose 123*t - 100*t = 97152. Does 96 divide t? True Let v = 25503 - 10051. Does 222 divide v? False Let a(i) = 48*i**2 + 22*i + 7. Does 9 divide a(-4)? False Let l = 2751 - 1583. Suppose -i + 5*i = 3*u + l, -3*u = 0. Is 73 a factor of i? True Let x(q) = -3*q**3 - 18*q**2 - 65*q - 74. Does 20 divide x(-14)? True Suppose l - 3*t = -l - 2, 0 = -2*t + 8. Suppose -h + k = 2 + 2, -l*h = -4*k + 18. Is ((1 + 0)*-14)/h a multiple of 3? False Let o = -49 + 52. Suppose -m = 2*y - 62, -y + 3*m = o*y - 144. Is y even? False Let g(s) be the second derivative of s**5/20 + s**4/12 + 33*s**2/2 - 14*s. Suppose 0 = 13*d - 11*d. Does 3 divide g(d)? True Let y(p) = 15 - 7*p**2 - 6*p**2 + p**3 + 6*p - 7*p. Let v be y(13). Suppose -2*u + 168 = v*u. Does 13 divide u? False Let m(j) = -1090*j - 7 + 1095*j - 31. Is m(10) a multiple of 2? True Let c = 1822 + -3000. Is 29 a factor of (2/3 + -1)*(c - -14)? False Suppose -v - 4*v + 25 = 0. Suppose -w + v*t + 27 = 0, 3*w - 8*w - 5*t + 45 = 0. Let y = w - -146. Is y a multiple of 27? False Let d be (6/39 - (-15)/(-13))*-238. Suppose 15*s - 212 - d = 0. Is s a multiple of 5? True Let w = 119 - 46. Let k = w - 557. Let o = -334 - k. Does 15 divide o? True Suppose -5*y = -17*y + 144747 + 68733. Is 15 a factor of y? True Let s(a) be the second derivative of 7*a**4/12 - a**3/2 - 19*a**2/2 - 46*a. Is 20 a factor of s(-6)? False Let l = 8568 + -8036. Is l a multiple of 4? True Let r = -50 - 59. Suppose 107*c + 202 = -226. Is ((-4)/(-8))/(2/c)*r a multiple of 11? False Let m(o) = o**3 + 15*o**2 - 3*o - 18. Let k be m(-15). Suppose -14*j - k = 589. Let r = 32 - j. Does 19 divide r? True Let m be (96 - 22)*(-9)/(3/(-1)). Suppose -209 = -2*q - v + m, -5*q + 1077 = 3*v. Does 8 divide q? True Does 6 divide (-213625)/(-100) + 4/(-16) + 0 + 7? False Let p = 1326 + -1323. Let w(q) = -3*q**3 - q**2 + q + 1. Let t be w(-1). Suppose 3*v - 50 = -t*s - p, 9 = -3*v. Is s a multiple of 11? False Suppose s - 5*t - 201 = -3*s, 0 = -2*s + t + 99. Let f = s + -35. Let x(l) = 2*l - 4. Is 6 a factor of x(f)? True Let v = 65 - 63. Suppose -6 = v*b - 12. Is 3 a factor of ((-336)/b)/(-4) - 2/2? True Suppose 0 = -10*b + 5*m + 25025, 20*m - 16*m = -b + 2534. Is b a multiple of 115? False Suppose -21*g + 8556 - 450 = 0. Is g a multiple of 2? True Let q(m) = 27*m**2 - 139*m - 920. Is 120 a factor of q(-8)? True Let m(k) = -50*k**3 - 4*k**2 - 21*k - 126. Is m(-5) a multiple of 74? False Suppose 4*q - 110 = -2*k, 3*k + k - 213 = -q. Suppose 1350 = 10*m + 17*m. Suppose -m*z = -k*z + 291. Is 14 a factor of z? False Let b(x) = -x**3 + 70*x**2 + 15*x + 7. Is 9 a factor of b(8)? True Let i(x) = 10*x**2 - 4*x**2 + 1 + 0 + 0*x**2. Let c = 5 - 4. Is 2 a factor of i(c)? False Let j = -80 - -79. Let b be (-2 + j)*38/(-6). Suppose b*p = 16*p + 198. Is 7 a factor of p? False Let t be 824 - 18*3/6. Let x = t + 209. Is 64 a factor of x? True Let i(c) = -11*c**3 - 2*c**2 - 39*c - 68. Does 10 divide i(-9)? True Let o(x) = -x**3 + 65*x**2 - 115*x + 393. Does 11 divide o(58)? False Let t(y) = y**2 + 17*y - 6. Let b = 93 - 89. Suppose -9*r + 30 = -b*r. Does 11 divide t(r)? True Suppose 34*j - 3723 = 17*j. Let w = j - -326. Is 6 a factor of w? False Suppose -2*b = -3*r + 107634, -3*r = -2*r + 5*b - 35827. Is r a multiple of 32? True Suppose 0 = 4*u + 4*m - 28712, 1987*u - 1982*u + 4*m = 35894. Does 57 divide u? True Suppose -2189*h + 2178*h = -37169. Does 12 divide h? False Suppose 16 = 8*h - 0. Suppose h*j = 2*m - 5*m + 782, 0 = -3*j + 3. Is m a multiple of 26? True Suppose 0 = -3*l + 5*l + d + 23, 5*d = l + 39. Let k be (0 - -27)/(l/(-70)). Suppose 2*r + r = k. Is r a multiple of 15? True Let u(k) = 2*k**2 + 12*k - 69. Let n = 179 - 174. Does 21 divide u(n)? False Is (2159 - 9/3)/(-4*(-4)/64) a multiple of 77? True Let k(t) = 62*t - 9. Let v(a) = -a + 1. Let j(h) = k(h) - 6*v(h). Is 5 a factor of j(2)? False Suppose 0 = 43*c - 102827 - 59498. Is 31 a factor of c? False Let d(t) = t**2 + 12*t + 24. Let q be d(-10). Suppose 0 = q*i + 45 + 19. Is -28*2/(i/22) a multiple of 11? True Let d be 1/(-4) - (108/16 + -4). Does 2 divide 80/(d + 12 - 7)? True Suppose 49*f + 466 = -2474. Let b = 844 + f. Is b a multiple of 56? True Is -107 - -117 - (-4 + -18090) a multiple of 62? True Let q be 0/((-20)/50 + (-24)/(-10)). Suppose -2*v + 4*l + 0*l = -312, 5*v + 5*l - 735 = q. Does 25 divide v? True Let b = 578 + -280. Let k = b + 14. Is k a multiple of 39? True Suppose -36*z = -32*z. Is z - 3 - (9 - 541) a multiple of 17? False Suppose -115*d = -1744222 - 256433. Is d a multiple of 16? False Let v be 0 - (346/3 + 5/(-15)). Let k = v - -120. Suppose k*q - 4*f - 89 = 289, 0 = -5*q - 5*f + 360. Is 37 a factor of q? True Suppose 63 + 3122 = -13*r. Let a = 466 + r. Does 8 divide a? False Is 138 a factor of 13/(65/30)*(1153 + -3)? True Suppose -2*r - 5*x + 7755 = -339, 4*x - 20184 = -5*r. Is 16 a factor of r? True Suppose -2*l + 12194 = -48*v + 50*v, -v + 4*l + 6087 = 0. Is v a multiple of 14? False Let v(n) = n**3 - 28*n**2 + 38*n - 39. Let m = -330 - -357. Is 6 a factor of v(m)? True Suppose -5*y = -2*k - 99, -3*y + 66 = -0*k + k. Suppose -5*z - 2*r + 142 = -123, -140 = -3*z - 5*r. Let i = z - y. Does 9 divide i? False Let a = 219 + -215. Suppose -a*x = -r - 2177 - 404, -3*x = -3*r - 1947. Is 7 a factor of x? True Let n(f) = -2*f**3 + 90*f**2 + 40*f + 167. Does 13 divide n(40)? False Suppose 15059 = 5*j - 3*k, -4*k + 3*k = -j + 3013. Is j a multiple of 48? False Suppose -4*f + 4596 = 2*s, -39*f - 12613 = -50*f + s. Is 19 a factor of f? False Let o(n) = 57*n**3 + 41*n**2 - 380*n - 13. Does 81 divide o(8)? True Suppose 3*s - 1767 = -4*j, -4*s - 1622 + 3958 = 2*j. Does 2 divide s? False Let h = 479 + 1142. Is h a multiple of 12? False Let u(y) = -23*y + 247. Is u(-21) a multiple of 157? False Suppose -3*n - 5*y + 624 = 0, 2*n + 4*y - 418 + 0 = 0. Does 29 divide n? True Let m(y) be the first derivative of -63*y**2 + 14*y + 29. Let f be m(-8). Suppose 811 = 13*w - f. Is 11 a factor of w? False Let z(i) be the third derivative of -i**6/120 + i**5/60 + i**4/24 + 37*i**3/6 + 25*i**2. Suppose 0*y + 3*y = 4*y. Is z(y) a multiple of 3? False Let f(s) = 3*s - 24. Let g be f(16). Let v(a) = -a**3 + 24*a**2 + 11*a - 33. Is 40 a factor of v(g)? False Is 44 a factor of 36/(-8)*((-10182)/18 + (-3)/9)? False Suppose -5*m + 5116 = 4*z, -13*z + 5 = -18*z. Does 64 divide m? True Suppose -7*j + 0 = -35. Suppose 0 = 3*b + 2*t - 4, -3*b + 0*b - j*t + 10 = 0. Suppose b = 2*x - 316 + 16. Is x a multiple of 10? True Suppose 0*n + 33*n - 501677 = -26*n. Does 11 divide n? True Let p(r) = r**2 - 4*r - 9. Let a be p(-6). Is 9 a factor of (1 + (6 - 4))*a? True Let o(u) = 19*u**2 - u + 29. Let i(v) = v**3 + 2*v**2 + 1. Let j(y) = i(y) - o(y). Is 42 a factor of j(19)? False Let i = 790 + -798. Let m(d) = -7*d + 13. Let t(s) = 2*s - 3. Let l(o) = -4*m(o) - 18*t(o). Does 8 divide l(i)? False Suppose 2*z + 42 = -4*y, -10*z = -6*z - 4*y + 36. Is 28 a factor of 92/6*(-429)/z? False Is 8 a factor of 11/44*4*239? False Suppose 0 = 123*p - 81315 - 205067 - 697741. Is 5 a factor of p? False Let v(y) = -y**3 - 4*y**2 + y + 25. Let g be ((-25)/(-20))/(-1 + (-9)/(-12)). Let w be 15/g*2/1. Is 7 a factor of v(w)? True Let p be ((-8)/(-8))/(3/1251). Suppose -24*z = -22*z - 2, 0 = 2*k - z - p. Is 22 a factor of k? False Let f(c) = c**2 - 22. Suppose 8*j - 9 - 7 = 0. Let i be j/(104/20 + -5). Is 13 a factor of f(i)? True Suppose 0 = 3*f - 24 + 30, 4*z + 5*f - 4406 = 0. Is 12 a factor of z? True Suppose 62*f + 72812 - 248644 =
{ "pile_set_name": "DM Mathematics" }