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2/(x/2). Suppose -5*r + 4*h + 43 = -187, -h + q = 0. Is 35 a factor of r? False Let r be ((-32)/(-20))/(2/5). Suppose -4*a = 3*m + 33, 0 = 3*a - r*a - 3*m - 6. Is 2/(-1)*a/1 a multiple of 16? False Suppose 4*b + 3*k = 8019, -392*b + 3*k - 4011 = -394*b. Is 12 a factor of b? True Suppose -5*g = -4*z + 117, g - 6*g - 3*z = 131. Suppose 22*u - 2*m + 10 = 20*u, u = -3*m + 3. Let f = u - g. Is f a multiple of 22? True Let v = 0 - 6. Suppose -426 = 5*s - 2*w, 2*w + 171 = -2*s + 3*w. Let n = v - s. Is n a multiple of 26? True Let z be 4/(-12) - (-22)/(-6). Let j(n) = 4*n**2 + 5*n + 1. Let m be j(z). Suppose -95 = -5*a + m. Is 26 a factor of a? False Suppose -2*j + 3*t - t = 2, -2*t - 4 = -5*j. Let d(w) = 0*w**3 + 6*w**2 + 0*w**3 + 6*w - 22*w**j + w**3. Does 17 divide d(16)? False Let b(i) = i**2 - 4*i + 3. Let k be b(3). Suppose -648 = -w + 2*w + 3*c, k = -2*w + 4*c - 1316. Is (-4)/10 - w/10 a multiple of 23? False Suppose 4*b - 3*b = 5*g - 2042, b - 814 = -2*g. Is 34 a factor of g? True Let x(k) = -100*k**3 + 10*k**2 + 9*k - 1. Does 10 divide x(-1)? True Let j(h) = 9*h + 28. Is j(4) a multiple of 64? True Let z = -3510 + 5478. Is 93 a factor of z? False Let t(k) = 4*k**2 + 5*k - 153. Is 18 a factor of t(-17)? True Let d be ((-6)/(-4))/(5/60). Let b = 21 - d. Does 25 divide 18/7*7*b? False Let w(p) = -218*p + 116. Does 52 divide w(-4)? True Let c(g) = -6*g + 24. Let n be c(8). Is 2/2 - n - 3 - 1 a multiple of 5? False Let w(t) be the third derivative of -13*t**4/24 + 19*t**3/6 - 6*t**2. Let k be w(-15). Suppose -218 - k = -4*a. Is a a multiple of 18? True Let c be 10*(-4)/8*176/(-10). Let k = -71 + c. Is k even? False Suppose -9*i + 140 = i. Suppose 0 = 5*j - 2*x - 3*x - 185, j = -4*x + 22. Let n = j - i. Is n a multiple of 5? True Let c = 1189 - -603. Does 14 divide c? True Let z = 90 + 211. Suppose y + 4*y = -4*b - 287, 3*b - z = 5*y. Let i = 105 + y. Is i a multiple of 24? False Let m = 12 + -7. Suppose 41 + 47 = 2*r + 4*i, -3*r + m*i = -77. Is r a multiple of 11? False Suppose 6*q - 10*q + 2508 = 0. Suppose 4*o = q + 317. Is 48 a factor of o? False Let w = 5 + -11. Let a(j) = j**2 + j. Let y be a(-6). Let h = w + y. Does 24 divide h? True Is (-3)/(-6) + 22673/158 a multiple of 18? True Is (-1 - -4)/(1*33/1804) a multiple of 4? True Let i(l) = -10*l - 2. Let j(x) = 10*x + 1. Let c(k) = 4*i(k) + 5*j(k). Let r = 160 - 157. Is 7 a factor of c(r)? False Let v(r) = 4*r**3 + 3*r**2 + 17. Is 5 a factor of v(5)? False Suppose 3*c + 25 = 34. Suppose -3*b = b + 3*f - 665, 4*f = -c*b + 490. Is 22 a factor of b? False Suppose 0 = 179*u - 182*u + 414. Is u even? True Suppose -73*c - 756 = -79*c. Is 7 a factor of c? True Let w = -34 + 46. Is w/(-27)*-123 + (-1)/(-3) a multiple of 11? True Suppose -4*w - 4*t - 420 = w, -2*t = 3*w + 254. Let q = -26 - w. Is 11 a factor of q? False Suppose 12*h = 16*h - 3740. Is h a multiple of 10? False Let t = -343 - -525. Is t a multiple of 14? True Suppose -z + 0 + 3 = 0. Does 11 divide ((-51)/z + -1)*(-5)/2? False Let z be (-1)/10 + 38538/180. Let s = z + -114. Does 10 divide s? True Suppose -111*n + 3*x - 1809 = -112*n, -n + 4*x + 1788 = 0. Does 83 divide n? False Let f be 2*(-3)/(-24) - (-13)/(-4). Does 10 divide 5 - f - -1*2? True Suppose 245 = 2*h + 77. Suppose -2 = 2*y - 3*p + 54, -p = 4*y + h. Is ((-10)/(-10))/((-2)/y) a multiple of 11? True Does 14 divide 4/((-12)/3) - (-1054 + 3)? True Suppose 0 = 55*g - 61*g + 1272. Is g a multiple of 3? False Let u = 27 + 7. Let c = u + -9. Suppose 47 + c = 2*f. Is 23 a factor of f? False Let h = 93 - 72. Let s be 2/(-2 - -1) + 4. Suppose f + h = s*f. Is 15 a factor of f? False Let c(d) = -7*d**3 + 7*d**2 - 4*d + 8. Let v(k) = k**3. Let x(o) = -c(o) - 6*v(o). Is 20 a factor of x(7)? True Let r = 16 + -12. Suppose -c - 3*c + 49 = 3*u, r*c - 31 = 3*u. Let f = c - -26. Is f a multiple of 12? True Suppose -5*c + 0*c - 15 = 0. Let k = c - -28. Let q = k + 7. Does 23 divide q? False Let a(v) = -v**2 + 6*v + 22. Let r be a(10). Is 196 - (r/7 + (-12)/(-21)) a multiple of 22? True Let q(k) = k. Let b be q(4). Suppose -3*h - 2*j = -4*h + 231, -b*h + 3*j = -949. Is h a multiple of 28? False Suppose 5*x - 4*b - 8 = 0, -4*x = -3*b + 7*b - 28. Suppose 12 = x*z - 60. Is 9 a factor of z? True Let s be (-2)/5 + 874/10. Suppose -60 = -7*j + s. Does 21 divide j? True Suppose 2 = 2*j - 10. Let y = 26 - j. Is y a multiple of 13? False Is 972 + 4 - -6 - -10 a multiple of 32? True Let g(t) = t**3 - 5*t**2 + 5*t - 3. Let q be g(4). Let m be q/(-2*1/(-6)). Does 14 divide (-1)/(129/(-42) + m)? True Let z(a) = 4*a**2 + 4*a - 3. Let s be z(-7). Let t = s - 19. Is 15 a factor of t? False Let h be 0 - -4 - (-2)/1. Suppose -h = 4*k - 2*k. Does 11 divide (423/(-3))/(-3) + k? True Let r be -2 - (2 + -2 + (-4 - 44)). Let l = r - 6. Is l a multiple of 5? True Suppose 31*k + 1200 = 36*k. Is k a multiple of 12? True Suppose -t + m = -5*t + 5961, 0 = 4*t + 3*m - 5963. Does 10 divide t? True Let f(r) = -132*r + 96. Is f(-2) a multiple of 53? False Suppose -5*c + 3161 = 161. Is c a multiple of 57? False Let k(p) be the second derivative of p**5/20 + p**4/12 + p**3/6 + 30*p**2 - 4*p. Let o be k(0). Suppose o = 3*u + 2*u. Is u a multiple of 9? False Let m = -138 + 143. Let k = m - -9. Is 2 a factor of k? True Let q = 125 + 115. Is 30 a factor of q? True Suppose -91*o = -10*o - 2187. Is o a multiple of 17? False Let l be (6/15)/(7/1890). Let w be (-2)/(-4) + 238/(-4). Let o = w + l. Is o a multiple of 15? False Let b = 72 - 255. Is ((-2)/(-3))/((-2)/b) a multiple of 17? False Let d(k) be the second derivative of k**5/24 - 5*k**4/12 - k**3 + 8*k. Let m(c) be the second derivative of d(c). Is 5 a factor of m(8)? True Suppose 0 = -2*o - 3*o - 5*f + 1660, -2*o + 652 = -4*f. Is o a multiple of 33? True Suppose -7 = h - 5*k, 4*k = -5*h + 9*k + 25. Does 6 divide (632/(-12))/(-2) + h/(-6)? False Let z = -1551 - -2225. Let u = 78 - 81. Does 17 divide z/10 + u/(-5)? True Let y(s) be the first derivative of 49*s**2/2 + 7*s + 2. Does 7 divide y(1)? True Let h(o) = o**2 - 21*o + 27. Suppose 14 - 110 = -4*t. Is 25 a factor of h(t)? False Let u be -81 + -2*(-1)/(-2). Let i(a) = 5*a + 12. Let q be i(-11). Let r = q - u. Is r a multiple of 14? False Let n(h) = 2*h**2 + 2*h - 1. Suppose -8*y + 4*y = -24. Let q = -8 + y. Is n(q) a multiple of 2? False Let r = 60 - 107. Let s = 167 + r. Is 12 a factor of s? True Does 19 divide 1/(-2) + (-2548)/(-8)? False Suppose 0*l = -5*l. Suppose -5*q = l, 2*w + 0*q - q - 58 = 0. Is 6 a factor of w/3 - 2/(-6)? False Suppose -n = -6*n. Suppose n = 3*o - 7*o + 108. Suppose -38 - o = -5*r. Does 3 divide r? False Suppose -19*o = -54*o + 22750. Does 65 divide o? True Suppose -l - 3 + 4 = 0. Let z(c) be the second derivative of 4*c**5/5 - c**3/2 + c**2 + 53*c. Is 15 a factor of z(l)? True Let t = 68 + -65. Suppose j - 104 = 4*l, 0 = t*j + 5*l - l - 376. Does 9 divide j? False Let q = -27 - 18. Let o = 29 - q. Suppose 3*p - p = o. Does 15 divide p? False Let u(l) = -l + 360. Does 18 divide u(0)? True Let c = 1276 + -1133. Is c a multiple of 14? False Suppose -105*b + 47*b = -11020. Is b even? True Let z be 387/6*14/21. Let j = 13 + z. Is j a multiple of 8? True Let b be ((-22)/(-33))/((-2)/33). Does 6 divide b/2*-6 + 0/3? False Let b(c) = c + 204. Is 3 a factor of b(48)? True Let v be 89 + (-7)/(105/(-6))*5. Let r = 134 - v. Is r a multiple of 29? False Suppose -5*v - 120 = 3*v. Suppose 5*d = -5*p + 4*d + 128, 4*d = -p + 37. Let k = v + p. Is k a multiple of 2? True Let z be (-1016)/12 + 1/(-3). Let t = 55 + z. Let s = 21 - t. Is s a multiple of 10? False Let p = -227 - -375. Is p a multiple of 17? False Let b = -15 + 14. Let t(u) = -15*u**2 - u - 2. Let p be t(b). Let j = 27 + p. Is j a multiple of 8? False Let v(i) = -i**3 + 3*i**2 - 4. Let h be v(4). Let g = 1 - h. Is 5 a factor of g? False Let a(b) = 62*b**2 - 2*b. Does 8 divide a(-1)? True Let f(k) = 6*k**2 - 2*k - 4. Let d be f(-3). Suppose 4*s + w - d = -w, -3*s + 3*w = -42. Suppose -4*v + 126 = -s. Is 10 a factor of v? False Let f be (1 - 0)/(3 + -2). Does 14 divide (f*-1)/((-9)/126)? True Let b(i) = 2*i**3 + 3*i - 7. Let j be 8/3 - (-13)/39. Is b(j) a multiple of 28? True Let x = 119 + 247. Is 65 a factor of x? False Let j = -1257 + 1800. Does 48 divi
{ "pile_set_name": "DM Mathematics" }
+ 63. Suppose -k + 1 = 3. Which is the second smallest value? (a) f (b) k (c) w c Let p = -1.18 + 1.08. Let j = -69.3 + 61. Let n = j + 8. What is the second smallest value in p, n, -1/5? -1/5 Let n = 0 - -0.4. Let u(s) = s**3 - 8*s**2 + 5*s + 10. Let w be u(7). Let z = w + 10/3. Which is the biggest value? (a) z (b) -0.1 (c) n c Let a = -0.19 - 4.81. Let j = -0.05 - 2.95. What is the third biggest value in j, 2, a? a Let n be 1198/(-920) + 0/4. Let p = 6/115 + n. What is the second biggest value in p, -0.2, -1? -1 Suppose 3*t = 3*o + 9, -5*t + 2 = 3*o - 13. Let v = 4 - 17/4. What is the second smallest value in o, -1/3, v? v Let q = -2 - 2. Let k = q + 4.5. What is the smallest value in k, -5, 2? -5 Let o = 15 - 14.89. Let v = 3.89 + o. Which is the second biggest value? (a) v (b) -2 (c) -2/5 c Let t = 1343/3306 + -1/87. Let f = t - -2/19. Which is the third biggest value? (a) 2 (b) 0 (c) f b Let k = 25/2 - 12. Which is the third smallest value? (a) k (b) -5 (c) 0.1 a Let m = -0.4 - -0.3. Let y be (-2)/9 + (-1806)/135. Let s = -738/55 - y. What is the third biggest value in m, s, 5? m Let l = -19 - -22. What is the biggest value in 1/2, l, 3/7? l Suppose -3*i = -0*i - 3. Let b = 0.03 - 0.33. What is the second smallest value in b, 4, i? i Let k = 5.05 + -0.05. Which is the second biggest value? (a) k (b) 0.2 (c) 0.1 b Let v = 3/61 + 107/305. Suppose 3*i = -2*i - 10. What is the biggest value in i, v, -1? v Let s = -91 + 91.5. Which is the second smallest value? (a) 3 (b) s (c) 2 c Let y be (0 - 48/63)*15/20. What is the biggest value in 0.4, y, -2, 1/8? 0.4 Let q = 12 + -17. Which is the second smallest value? (a) 6 (b) 5 (c) q b Suppose -5*n + 0*n = 0. Suppose n = 3*x + 4 + 5. Let q = 0.42 + 0.08. Which is the biggest value? (a) x (b) 0.2 (c) q c Let l = -11 + 8. Let i be (-1*(-1 + 2))/(-1). Let z be (-30)/(-21) - (i - 0). What is the third smallest value in l, z, 0.3? z Suppose 7 = 5*z - 4*z. Suppose -2*s = 3 - z. Let g be (-1)/(-2)*s/4. What is the third biggest value in g, 2, -1/5? -1/5 Let p(g) = -14*g**3 + g**2 - 1. Let v be p(-1). Let j = v - 9. What is the smallest value in 0.5, -0.5, j? -0.5 Let g(t) = 4*t + 28. Let r be g(-8). Which is the smallest value? (a) -5 (b) -2/5 (c) r a Let j = -0.06 + -5.94. Let r = 9 + j. Let x be (2/(-4))/((-1)/2). Which is the smallest value? (a) r (b) x (c) -0.3 c Let u(d) = 2*d - 2. Let m be u(2). Suppose m*f + 10 = 7*f. Suppose -2*c = f*c - 4. What is the smallest value in -1, c, -0.4? -1 Suppose j = -h - 2*j + 10, 2 = 2*h - 3*j. Let z be 1/3 - h/(-6). Let o be 8/22 - (-57)/418. What is the third biggest value in -1, z, o? -1 Let f = 2.42 + -2.2. Let w = 0.08 + f. Suppose 5*x + 0*x - 13 = 2*c, 3*c = 5*x - 12. What is the second smallest value in c, 0, w? w Let q = 45 + -47. Which is the smallest value? (a) 4 (b) q (c) 0.1 b Let h = 1 + -4. Let z = -14/75 - 12/25. Which is the third biggest value? (a) h (b) 2 (c) z a Let q = 0.3 - -1.7. Let z = -46 + 45.9. Let u = -0.04 + -0.36. Which is the third biggest value? (a) z (b) q (c) u c Let i(q) = -q + 15. Let o be i(12). Suppose -o*u + 1 - 3 = -p, 4*p + 5*u = -26. Which is the third smallest value? (a) -3 (b) 0 (c) p b Let i = -1063/15 + 71. Let y = 0.9 + 0.1. Let m = 1 - y. What is the third biggest value in i, 1/2, m? m Let m = 1.57 - 1.5. Which is the second biggest value? (a) -3/5 (b) m (c) -3 a Let g = -7 - -6.9. Let o = 0.1 + g. Which is the third smallest value? (a) o (b) 5 (c) -0.2 b Let x = 47 - 51. Let o = 8 + -6. Let g be o - (-1)/((-27)/60). What is the second smallest value in g, x, -5? x Let k = -20 + 30. Let h = -1 + 12. Let g = k - h. What is the biggest value in g, -4, 2? 2 Let k = 5 + -1. Let z(j) = j**3 - 4*j**2 - j + 2. Let p be z(k). What is the biggest value in -4, -0.4, p? -0.4 Let v(i) = -i - 1. Let t be v(1). Let z(o) = -o**2 - 2*o. Let k be z(t). Let s = 7 + -15/2. Which is the second smallest value? (a) -1 (b) s (c) k b Let j be (8/(-14))/((-6)/21). Which is the third biggest value? (a) j (b) 1/4 (c) 0.5 b Suppose -5*j + 8 + 2 = 0. Let r = -0.4 + 4.4. Let h = 2 + -2.2. Which is the biggest value? (a) j (b) h (c) r c Let w = -361/7 + 58. Let s = -6 + w. Let l = 7.1 + -7. Which is the third biggest value? (a) l (b) 0.2 (c) s a Let r = -3.82 + -0.18. What is the second smallest value in -0.4, -18, -2/7, r? r Let f be 105/(-126)*(-4)/(-15). What is the third biggest value in 0.3, f, -3/7? -3/7 Let p = 0.02 - 0.52. Let u = -0.7 - p. Which is the third smallest value? (a) -1/4 (b) -5 (c) u c Let l = -23 + 22. Which is the smallest value? (a) -5 (b) 2/7 (c) l a Let s = -4.6 + 4.4. Which is the second biggest value? (a) 4 (b) s (c) -2 b Let b = 0.32 - 21.32. Let m = b - -20.8. What is the second smallest value in m, 0.1, -2/3? m Let w be (2 - (-18)/(-10))*1. Which is the second smallest value? (a) -1 (b) -2 (c) w a Let a be (-1 - -7)*2/3. Let d be -2 + a/(-6)*-3. Suppose 4*g + d - 4 = 0. What is the biggest value in g, 5, -1? 5 Let h(i) = 2*i - 2. Let r be h(4). Suppose -5*s = -m + 19, m = 4*s + r*m - 8. Which is the third biggest value? (a) 2 (b) s (c) 0 b Let s = 25/3 + -197/24. Let w = 4 - 6. Which is the second smallest value? (a) s (b) 0.5 (c) w a Let w = -1.2 + 1. Let t = 3.8 - w. What is the smallest value in 2, t, 0.1? 0.1 Let y be (-12)/(-90) - 17/15. Which is the smallest value? (a) y (b) 0.2 (c) 0.1 a Let z = -0.16 - -0.66. Which is the second biggest value? (a) 0.1 (b) -4/7 (c) z a Suppose 2*s = -o + 9, 6*s = -2*o + s + 23. Let d be 1/(-4) + o/8. Which is the second smallest value? (a) 3/2 (b) d (c) -0.2 c Let k = -2.06 + 0.06. Let j = -5 - k. What is the biggest value in 0.2, -0.3, j? 0.2 Let r be 0 + ((-1)/1)/(-2). Let n = 0.7 - 0.7. Let g = n + 4. Which is the third biggest value? (a) r (b) 2 (c) g a Let z = -3.8 - 1.2. Let y = 1.1 + -0.7. Which is the biggest value? (a) 3 (b) y (c) z a Let k = -13/6 + 29/12. Which is the smallest value? (a) 4 (b) k (c) 5 b Let i = -164 + 163.6. Let d = 1 - 2. Which is the third smallest value? (a) -2/3 (b) d (c) i c Let p = 62 + -187/3. What is the third biggest value in -2, -0.2, p, 3/4? p Let o = -0.3 - -2.3. Let n = 3 - 5. Let m = -4.99 - 0.01. What is the third biggest value in m, o, n? m Let p = 0.04 + -3.04. What is the second smallest value in p, -1, 4? -1 Let p = 10.3 + 0.7. Let i = 11.3 - p. Which is the smallest value? (a) i (b) -0.5 (c) 0.1 b Suppose -4*u + 24 = 3*v + v, 2*v = -u + 10. Which is the second biggest value? (a) -1/8 (b) 5/2 (c) u c Let j be 1615861/44520 - 3/(-6). Let r = j + -1968/53. Let w = r + -4/105. Which is the second smallest value? (a) -1 (b) w (c) -3 a Let h = -1227 - -2399/2. Let l = h - -28. Let k = -0.14 + 4.14. What is the third smallest value in k, -0.4, l? k Let k = 18 - 20. Which is the smallest value? (a) -3 (b) -0.3 (c) 2/3 (d) k a Let t = 57/424 + -1/106. Which is the second biggest value? (a) -2/13 (b) 4/5 (c) t (d) 4 b Let z = -33 + 51. Let o be (-3)/6*z/15. Let t = -0.2 + 0.2. What is the third smallest value in o, 0.1, t? 0.1 Let y = -4 - 4. Let u = y + 11. Let f = 0.1 - 0. What is the biggest value in 5, f, u? 5 Suppose 5*l + 27 = -2*y, -5*y + 2*y - 51 = 4*l. Let t be 1*27/y + 1. Let b = -191 - -1333/7. What is the second biggest value in b, 2/5, t? t Let q = 0.23 + -0.43. Which is the fourth biggest value? (a) q (b) 2/3 (c) -1 (d) 2/7 c Let y = 0.17 + 1.83. Which is the biggest value? (a) -2/3 (b) -0.2 (c) y c Let k(t) = 1 + 60*t + 1 + 6*t. Let r be k(3). Let n = r - 2202/11. Which is the smallest value? (a) n (b) 2 (c) 0.5 a Let j = 0.24 + 0.06. Let r = j - 0.1. Let o = r + 0. Which is the third smallest value? (a) 0.3 (b) -0.1 (c) o a Let y = -0.1 - -0.3. Which is the third biggest value? (a) 2 (b) 0.4 (c) y c Let l = -103 + 147. Let m = 133/3 - l. Let y = -10 - -9. Which is the smallest value? (a) 4/5 (b) y (c) m b Let d(i) = 4 + 0*i + 1 - i. Let l be d(6). Let n be (-1 + 5/2)/(21/4). Which is the smallest value? (a) l (b) n (c) -4 c Let z = 27 + -24. What is the second smallest value in -2, z, 1/7? 1/7 Let r = 2 + -2.5. Let u = -1.4 + 1. Let z = -18 + 122/7. What is the second smallest valu
{ "pile_set_name": "DM Mathematics" }
. List the prime factors of i. 3, 37 Let l be (12/(-10))/(3/50). Let q = 85 + l. What are the prime factors of q? 5, 13 Let y(o) = -12*o - 47. Let r(d) = -12*d - 46. Let x(b) = 3*r(b) - 2*y(b). List the prime factors of x(-14). 2, 31 Let r be ((-6)/(-33) + (-120)/176)*22. What are the prime factors of ((-44)/(-8))/r + 110/4? 3 Let v = 836 - 612. List the prime factors of v. 2, 7 Suppose 2*h - 35 = -3*h. Suppose h = -q + 24. Let z(l) = l**3 - 18*l**2 + 18*l - 11. What are the prime factors of z(q)? 2, 3 Let b(i) = -6*i + 26. Suppose 0 = -3*x + 2*h - 25, -h + 3 = -x - 4. What are the prime factors of b(x)? 2, 23 Suppose -i - 3*i = -8. Suppose -50 = -3*v + i*p, 2*p = -3*v - 37 + 107. Suppose 23*y - v*y = 102. List the prime factors of y. 2, 17 Suppose -3*a = -5*o + 10, a = 2*a. Let d(v) = 0*v**3 - 14 - 7*v**o - v**3 - 3*v + 7*v + 0*v**3. What are the prime factors of d(-8)? 2, 3 Let d = -21 - -17. Let b be (-8 - -22)/(d/(-2)). Suppose 0 = b*t - 218 + 64. List the prime factors of t. 2, 11 Let w(x) = -4*x + 228. What are the prime factors of w(9)? 2, 3 List the prime factors of -1*9 - (76 + -791). 2, 353 Suppose 3*y + 371 = z, -4*z + 155 + 109 = -2*y. List the prime factors of (-3)/(-6)*y*2/(-1). 2, 61 Suppose 5*u + 2*u = 168. Suppose 0 = -c + 22 + u. What are the prime factors of (c - (-1 + 0))*1? 47 Let j(i) = i**3 - 12*i**2 - 12*i - 10. Let b be j(13). What are the prime factors of (704/132)/((-1)/b + 1)? 2 List the prime factors of 45 + -2 + -3 - -5. 3, 5 Let a = 447 - 9. What are the prime factors of a? 2, 3, 73 Let j be (25/(-5))/(0 - 1). Suppose -j*w + 24 = -2*w. Let m = 12 - w. List the prime factors of m. 2 Let n = -10541 + 15332. What are the prime factors of n? 3, 1597 Suppose 5*a - 4426 = -0*a - k, -4*k + 889 = a. What are the prime factors of a? 3, 5, 59 Suppose 14*n - 5*n = 1872. List the prime factors of n. 2, 13 Suppose 4*l - 29 = -5*m, 4 = 4*l - 0. List the prime factors of 18/m*75/6. 3, 5 Suppose 3*l + 99 = p, 0*p + 2*l + 210 = 2*p. Suppose 0 = 6*i - 0*i - p. What are the prime factors of i? 2, 3 Let v = -1121 + 3761. What are the prime factors of v? 2, 3, 5, 11 Let a(p) be the first derivative of -p**3/3 - 21*p**2/2 - 21*p + 12. What are the prime factors of a(-14)? 7, 11 Let g = 3 + 8. Suppose g*o - 6*o - 15 = 0. List the prime factors of o. 3 Let s(o) = 48*o - 55. What are the prime factors of s(9)? 13, 29 Suppose 3248 = -9*z + 13*z + i, 4 = -i. What are the prime factors of z? 3, 271 Suppose 0 = -5*h + 2*n + 2647, 7*n + 2112 = 4*h + 11*n. List the prime factors of h. 23 Let g be (-4)/(-18) + 21/27. Let f be 1 - ((-6)/2)/g. Suppose 78 = 4*h - 3*b, 2*b = -f*h + 6*b + 80. What are the prime factors of h? 2, 3 Suppose -4*r + 5 = -11. Suppose 0 = 3*s - 2*z - 238, 0*s + 5*z - 348 = -r*s. Let j = s + -23. What are the prime factors of j? 59 Suppose -4*j = 12, c - 4*c + 5*j + 795 = 0. Suppose -5*x + c = 4*u - x, -2*u - 3*x = -135. List the prime factors of u. 2, 3, 5 Let s = 0 - -4. Suppose -s*z + 372 = -i, -3*z - 2*i + 279 = -i. What are the prime factors of z? 3, 31 Let p = -727 + 1499. List the prime factors of p. 2, 193 Let b(u) = -7*u - 10. Let a(z) = -z**3 - 7*z**2 + 11*z + 16. Let n be a(-8). What are the prime factors of b(n)? 2, 23 Suppose -a = -4*k - 5*a + 32, -2*k + 4*a = 14. Suppose r + 3*r - 369 = -5*q, -87 = -r - k*q. What are the prime factors of r? 2, 3 What are the prime factors of (1 - 0) + -2319*1/(-3)? 2, 3, 43 Suppose 2576 = -39*x + 55*x. List the prime factors of x. 7, 23 Let n(h) = -h + 12. Let u be (-672)/63 - (-1)/(-3). Let s be n(u). List the prime factors of (4 - 10)/((-2)/s). 3, 23 Let q(r) = 60 + 4*r + 7*r + r**2 - 2*r**2 - 8*r. List the prime factors of q(0). 2, 3, 5 Let a(n) = n**3 - 17*n**2 + 13*n + 7. Let u be a(16). Let o = u - -52. What are the prime factors of o? 11 Let j = -23 - -26. Suppose -147 = -j*h - 0*h. List the prime factors of h. 7 Let j(n) = 8*n**2 + 7*n - 14. Let r be j(-7). Suppose 3*l - r = -5*x, l + 133 = 2*l - 3*x. What are the prime factors of l? 2, 59 Let t be (-4)/(4*-2)*4. Suppose -4*j = -2 - t, 5*i + 4*j - 19 = 0. What are the prime factors of (-6 - -12)/(i - 1)? 3 Let v(n) be the third derivative of -n**6/120 + n**5/60 - n**4/8 - n**3/6 - 5*n**2. Let d = 4 - 6. What are the prime factors of v(d)? 17 Let p be 3 + -79 + 1/((-2)/(-8)). List the prime factors of 16/p + 1/((-18)/(-886)). 7 Let d be 1/(-3)*(-72)/6. Suppose 2*q + 2 = d*p, q + 6 = 5*p - 4. Suppose -2*a - 84 = -6*a + 3*k, -q*a + k + 105 = 0. What are the prime factors of a? 3, 7 Let l(v) = -5*v**3 + 15*v**2 - 8*v + 1. Let d(p) = -14*p**3 + 44*p**2 - 23*p + 3. Let g(n) = 6*d(n) - 17*l(n). List the prime factors of g(-8). 3 Let y be 1 + -3 - (-311 - (0 + 4)). Suppose -5*t = 93 - y. What are the prime factors of t? 2, 11 Let u be (2 - -4) + (5 - 3). Suppose 2*t - 6 = 4*g, -4*t = 3*g - u - 4. What are the prime factors of t? 3 Let f = -152 + 178. Let h = f + 264. List the prime factors of h. 2, 5, 29 Let j(g) = 27*g + 1. Let v be j(1). Suppose -4*o + v = 2*b, -3*o + 12 = -6*o. What are the prime factors of b? 2, 11 Let m(u) be the first derivative of u**2 + 34*u + 3. List the prime factors of m(-11). 2, 3 Suppose 0 = i + 2*u - 2 - 9, -3*u = 2*i - 17. List the prime factors of ((-720)/(-28) - i) + 4/14. 5 Let z(l) = l**3 - 2*l**2 - l + 569. What are the prime factors of z(0)? 569 Let s be ((-90)/7)/(-5) - 3/(-7). Suppose -s*n + 80 = 2*n. What are the prime factors of n? 2 Let q(l) = l**2 - 1. Let f(z) = 2*z**2 + 4. Let b(w) = -f(w) + q(w). Let s be b(0). Let o = s + 13. List the prime factors of o. 2 Suppose -418 = -r + 3*y + 396, -4118 = -5*r + 3*y. What are the prime factors of r? 2, 7, 59 Let w(k) = k**2 - 10*k + 19. Let s be w(8). Suppose -2*b - s*m + 195 = 2*m, 315 = 3*b + 3*m. List the prime factors of b. 2, 5, 11 Let g(r) = r**2 - 10*r + 14. Let q be g(6). Let t be ((-12)/10)/(q/50). Suppose t*x = 55 + 137. List the prime factors of x. 2 Let w(c) = -5*c**3 + 0*c + 5*c**2 + 4*c**3 - 4*c + 2. Let r be w(4). Suppose 3*t + r*g - 30 = 0, 0 = 2*g + 2*g. List the prime factors of t. 2, 5 Let n(q) = 5*q**2 - 7*q. Let o be n(6). Suppose 4*t = -o + 330. Suppose -3*b = -b - t. List the prime factors of b. 2, 3 Suppose -5*m = -0*m + 20. What are the prime factors of (-156)/m + -1 + -1? 37 Suppose -10*d = -9*d - 1. Let u = d - -15. What are the prime factors of u? 2 Suppose 0 = -26*f + 6*f + 59700. List the prime factors of f. 3, 5, 199 Let w(l) = -25*l**2 + 2*l - 2. Let y be w(1). Let d = y - -124. What are the prime factors of d? 3, 11 Let f = -813 + 1681. List the prime factors of f. 2, 7, 31 Let c = 9894 - 5506. What are the prime factors of c? 2, 1097 Let z(r) be the third derivative of r**5/60 + 7*r**4/24 + 7*r**3/6 - 4*r**2. Let k be z(-7). Let b(v) = v**3 - 8*v**2 + 9*v + 4. List the prime factors of b(k). 2, 3 Suppose -21*p + 14*p - 1036 = 0. Let k = 258 + p. List the prime factors of k. 2, 5, 11 Let r(o) = 6*o**3 + 5*o + 9 - 4 - 8*o**3 - 3*o**2. Let m be r(-4). Suppose 5*k - m = 5*n, 0 = k + 3*n + 2*n - 37. List the prime factors of k. 17 List the prime factors of 9 + 0 - (-5160 - 8). 31, 167 Suppose -20*p + 1232 = -13*p. List the prime factors of p. 2, 11 Suppose -4*h = h - 20. Suppose 0 = h*k - 19 - 13. Let s = -3 + k. What are the prime factors of s? 5 Suppose 7*w = -0*w + 49. Let s(z) = 30*z - 26. What are the prime factors of s(w)? 2, 23 Let p be 4/14 - 390/(-7). Let a(y) = y**2 + 4*y - 3. Let f be a(1). List the prime factors of p + f*9/6. 59 Let k be 6/(((-5)/8)/(-5)). Let h = k + -13. What are the prime factors of h? 5, 7 Let a be 6*3/(-6) - -4. Let c = a - -8. Suppose -4*z - 24 = -c*z - v, z - v = 0. What are the prime factors of z? 2 Let t be (-1 - 0)/((-1)/(-9)). Let v be ((-148)/6)/(2/t). Suppose -9 = -5*c + v. What are the prime factors of c? 2, 3 What are the prime factors of 5 + -8 - -8 - -458? 463 Suppose 0 = -5*r + 10*r - 2*x - 1442, 3*r - 859 = -5*x. List the prime factors of r. 2, 3 Let x = -38 + 43. Suppose -x*c + 4*v = -8, 2*c + 5*v - 17 = 2*v. What are the prime factors of c? 2 Let j(p) = 8*p**2 + 2*p - 19. List the prime factors of j(-6). 257 Let i = -193 + 879. List the prime factors of i. 2, 7 Let j = -819 - -1177. What are the prime factors of j? 2, 179 Let t = -47 + 49. Suppose 0 = -t*x +
{ "pile_set_name": "DM Mathematics" }
). 7 Let o(g) be the third derivative of -g**4/12 + g**3/2 + 20*g**2. Suppose -b - 2*b - 2 = 5*y, y - 18 = 4*b. Determine o(y). -1 Let l(f) = -f**3 + 2*f**2 + 2*f - 3. Let j be 2/(-1)*(-3)/2. Let o be l(j). Let c(r) = -r + 4. Let m(q) = -2*q + 5. Let g(u) = o*c(u) + 5*m(u). Determine g(1). -3 Let w(r) = 6*r**2 + r - 1. Let f = -7 - -13. Let b = f - 9. Let v = -2 - b. Calculate w(v). 6 Let j = 15 + -18. Let y(x) = 2*x. Give y(j). -6 Let b(n) be the third derivative of 0*n**3 + 0 - 1/24*n**5 + 0*n + 1/12*n**4 + 1/720*n**6 + n**2. Let g(v) be the second derivative of b(v). Determine g(4). -1 Let o be 4*(-2)/(16/(-12)). Let a(s) = -s + 8. What is a(o)? 2 Let l(n) = 3*n**2 - 5 - 4*n**2 + 0*n**2 + 1 + 8*n. Give l(8). -4 Let y = 7 + -4. Let b(r) be the first derivative of -r**2 + r - 195. What is b(y)? -5 Let u(s) be the first derivative of -s**4/4 + 5*s**3/3 + 7*s - 9. Calculate u(5). 7 Let b(z) = z - 4. Let h be b(-3). Let g(r) = 2*r - 2. Calculate g(h). -16 Let l(a) = -2*a - 2. Suppose -t = -w + 1, 2*w + 30 + 3 = -5*t. Determine l(t). 8 Let v(n) = 0*n**3 - n - 3*n**3 + 2 + 4*n**3 + 0*n. Let b(w) = 1 + 3*w**3 - 6*w**3 + 3*w - 7. Let i(l) = 6*b(l) + 17*v(l). Give i(-2). 4 Let y(o) = o**2 + 7*o - 11. Let m be y(-8). Let n be 1 - (m + (4 - 0)). Let x(z) = z**3 - z**2 - 4. Calculate x(n). -4 Let a(u) be the second derivative of -2*u + 1/2*u**2 + 0 + 7/6*u**3. Give a(-1). -6 Suppose -t + 4*t - 4*g + 93 = 0, 0 = 5*g - 15. Let y = t + 28. Let o(i) = -5*i - 1. Calculate o(y). -6 Let z be (2 + -2 - 1)*2. Let l be z/(-6)*-1*3. Let w(s) = -s - 4. Let q(f) = -4*f - 11. Let j(n) = -3*q(n) + 8*w(n). What is j(l)? -3 Suppose 2*a + 12 = 4*a. Let o(y) = y**3 - 9*y**2 - y + 3. Let t(c) = -c**3 + 10*c**2 + 2*c - 4. Let u(k) = a*o(k) + 5*t(k). Determine u(3). 1 Let a = -2 + -2. Let z(k) = -k**3 - 3*k**2 + k - 4. Determine z(a). 8 Let p = 9 - 1. Let n(j) = -5 - 2 + 5 - 7*j**2 + p*j + 8. Let c(f) = f**2 - f - 1. Let y(r) = -6*c(r) - n(r). Determine y(4). 8 Let m(z) be the second derivative of z**7/840 - z**6/180 - z**5/120 + z**3/2 + 2*z. Let b(f) be the second derivative of m(f). Calculate b(-1). -2 Let w(y) = -10*y**2 - y + 1. Let x(t) = -t**3 + 17*t**2 + 17*t + 19. Let r be x(18). What is w(r)? -10 Suppose 5*n - 4 = -4*i - 12, i - 4*n - 19 = 0. Let o(y) be the second derivative of -y**4/12 + y**3/3 - 3*y**2/2 - y. What is o(i)? -6 Let w(y) = -3*y**2 + 3*y. Let n be 5/(2 + 4/8). What is w(n)? -6 Let n(q) = -26*q**3 + 9*q**2 - 7*q. Let j(c) = -13*c**3 + 4*c**2 - 3*c. Let h(f) = -5*j(f) + 2*n(f). Determine h(1). 12 Let r = -1 + 5. Let j(o) be the first derivative of -2/3*o**3 + 3*o**2 - o + 1. Calculate j(r). -9 Suppose -4*x - 3*m = -0*x - 4, 4*x - 24 = 2*m. Let w(g) = 2*g**3 - x*g**2 - g**3 - g + 0*g - 1 - 6*g. What is w(5)? -11 Let p(g) = -2*g**2 + g. Suppose 2*z + 5*a = -z - 26, 0 = 2*z - 3*a + 11. Let r(x) = x + 9. Let k be r(z). Suppose -m = -0 - k. Calculate p(m). -6 Let o(s) be the second derivative of -3/2*s**2 - 2*s - 1/3*s**3 + 0. Calculate o(-4). 5 Let c(a) = -a**3 + a**2 + 1. Let n(f) = f + 6*f - 8*f**2 - f**3 + 4*f**3 + 16 - 14. Let w(h) = 4*c(h) + n(h). Give w(-5). -4 Let o(n) = n**3 + 5*n**2 + 3*n - 2. Let s be o(-4). Let h(v) = -2*v + v**2 - 5*v - 5*v**s + 2 + 2*v**2. Calculate h(-5). -13 Suppose -2*h = 54 - 6. Let g = 22 + h. Let z(f) = -2*f**2 + f + 1. Give z(g). -9 Let p(a) = -a + 3*a - a + 4*a. What is p(-1)? -5 Let h(i) be the second derivative of 1/12*i**4 - 5/6*i**3 + 3/2*i**2 + 0 - i. Let m = -3 - -6. What is h(m)? -3 Let r = -4 - -8. Let i be (-12 + r)*(-2)/(-4). Let p(d) = d**2 + 6*d + 6. What is p(i)? -2 Suppose 4*t - 2 = 2*x, x + t = -0 - 4. Let k(j) = -j - 6. Let l(m) = -5*m - 25. Let q(w) = 9*k(w) - 2*l(w). Determine q(x). -7 Let b(j) be the second derivative of 2/3*j**3 + 1/2*j**2 + 0 + 1/12*j**4 - 3*j. What is b(-5)? 6 Let r(b) = b - 1. Suppose 3*p = -p. Calculate r(p). -1 Let d(q) = 2*q**2 - 5*q - 4. Let c be d(3). Let a(r) = 2*r - 1. What is a(c)? -3 Let m = 6 - 0. Let v(d) be the third derivative of d**5/60 - 7*d**4/24 + 7*d**3/6 - 23*d**2. What is v(m)? 1 Suppose -6*q - 4*k = -q - 26, 0 = -3*q + 2*k + 20. Let g(b) = -2*b**3 - 6*b**2 + 6*b**2 - 4 + q*b**2 + 3*b**3. Give g(-6). -4 Let x(l) be the second derivative of l**4/2 - l**2 + 6*l. Calculate x(-2). 22 Let c(f) be the third derivative of f**7/1260 - f**6/720 + f**5/15 - f**2. Let k(s) be the third derivative of c(s). Give k(1). 3 Let c(t) = t**2 - t + 1. Let b(l) = 7*l**2 - 5*l + 4. Let g(f) = -b(f) + 6*c(f). Suppose -12 = -u - 3*u. Suppose u*p + 8 = p. Calculate g(p). -10 Let s(m) = 2*m**2 + m - 1. Suppose 6 = 3*u - 0*p + 5*p, 0 = 5*u - p - 10. Calculate s(u). 9 Let w(x) = -x**3 - x**2 + x. Suppose -q - 5*n - 24 = 0, q - 6*q - 3*n = 32. Let f be (-6)/q*2 + -1. Give w(f). -10 Let t(b) be the third derivative of -b**8/2240 + b**7/2520 - b**6/720 + b**5/20 + 4*b**2. Let k(p) be the third derivative of t(p). What is k(1)? -8 Let z = 0 - -1. Let w be 0 + (28/2)/(-2). Let a(q) = 3*q**2 - 3*q + 3. Let i(g) = -2*g**2 + 2*g - 2. Let t(j) = w*i(j) - 5*a(j). Give t(z). -1 Let w(y) = -y**3 + 9*y**2 - 10*y + 10. Let h be w(8). Let c be h/(-4) + 4/8. Let t(i) = 0*i - 3*i**c + 0*i + 2 + i + i**2. Give t(2). -4 Suppose -j - k - 4 = 0, 3*j + 4*k + 16 = 6*j. Let z(n) be the third derivative of -n**5/60 + n**3 - 5*n**2. Determine z(j). 6 Let y(w) be the second derivative of 2*w + 0 + 7/6*w**3 - 1/12*w**4 - 4*w**2. What is y(6)? -2 Let h(q) = 4*q + 49. Let f be h(-12). Let p(y) = -14*y - 1. Give p(f). -15 Let f(r) be the third derivative of -r**4/8 + 2*r**3/3 - 13*r**2. Determine f(3). -5 Let q(m) be the first derivative of -1 + 1/2*m**2 + 2*m + 1/2*m**4 - 4/3*m**3. Determine q(2). 4 Let m be 6/4*(-30)/(-9). Let g(x) = x**2 + x - 6. Let c be g(m). Suppose -5*q = 25, -y = -2*y + 5*q + c. Let v(d) = d - 1. Give v(y). -2 Let d(j) be the second derivative of j**6/60 + j**5/20 + j**2 + 6*j. Let c(o) be the first derivative of d(o). Give c(-2). -4 Let h(r) be the first derivative of r**4/4 + 5*r**3/3 + 5*r**2/2 + 4*r + 3. Let o = -12 - -8. Calculate h(o). 0 Let t(x) = -x + 9. Let c be t(7). Let d(n) = 2*n**c + 1 - 3*n**2 + 6*n + 3. Suppose -3*w = -7*b + 2*b, 19 = 5*w - 2*b. What is d(w)? 9 Suppose -4*z + 10 = 2. Suppose 0 = -f + z*a - 5, f + 2*f + 4*a = 25. Let w(u) = u - 3. Determine w(f). 0 Suppose 3*n + 3 = -6. Let w be (2 - n)*-1*1. Let u(y) = 3*y + 5. Give u(w). -10 Let t = 3 + -7. Let h(i) = 4*i + 5. Let j(s) = s + 1. Let g(r) = h(r) - j(r). Calculate g(t). -8 Suppose -4*y - 20 = 0, 2*y + 17 = -5*v - 23. Let t(n) = n**3 + 6*n**2 - 3. Determine t(v). -3 Let t = 6 - -10. Suppose 0*g - t = -4*g. Let v(f) = 7*f - 2*f + g + f**2 + f. Give v(-4). -4 Let g(r) = -r**3 + 6*r**2 - 6*r + 4. Let t be g(4). Let x be (-1)/(-3)*(-1 - -10). Suppose -4*v = -4*h + 12, x*v + v = -t. Let u(s) = s + 4. Give u(h). 4 Let w(r) = 16 - 4*r**2 + 14*r**2 + 12*r + 2*r**2 + r**3. Let n be w(-11). Let c(x) = -x**2 + 6*x + 4. Calculate c(n). 9 Let y(k) = k**2 + 3*k - 3. Let r = 15 - 13. Suppose -4*n + 5*i = -9, -2*i = r*n + n + 22. Determine y(n). 1 Let m = -2 + 6. Let h(j) = j**3 - 4*j**2 - 3*j. Let v(f) = -1. Let z(p) = h(p) - 5*v(p). Give z(m). -7 Let i(o) = -o - 8. Suppose 2*m + 24 = -m. Let b = m - -2. Calculate i(b). -2 Let j(h) be the second derivative of -h**3/6 + 4*h**2 + 6*h. Calculate j(7). 1 Let a(l) be the first derivative of 1 + l - 1/2*l**2. Let p(q) = -q - 1. Let i be p(4). Give a(i). 6 Let a(t) be the third derivative of t**4/24 - t**3/3 + 21*t**2. What is a(-5)? -7 Suppose 0 = u + 4 - 2, 6 = 5*r + 2*u. Let q(v) = v**3 + v**r - 29*v + 32*v + v**2. Give q(-2). -6 Suppose 8*m - 27 = -11. Suppose 2*x = -x + 9. Let u(z) = -2 - 2*z**3 + z**3 - z + x*z**2 + 0*z**3. Calculate u(m). 0 Let b(w) = 3*w + 15. Let c(x) = x + 7. Let g(h) = -6*b(h) + 13*c(h). Determine g(-2). 11 Let x(q) be the first derivative of q**4/4 - 5*q**3/3 - 4*q**2 + 4*q - 6. Determine x(6). -8 Let u(s) = -3*s - 18. Let y(g) = -g - 6. Let w(h) = 6*u(h) - 17*y(h). Let c be w(-7). Let b(l) be the first derivative of -l**4/4 - l**3/3 + 1. Calculate b(c). -2 Let p(a) = 7*a**3 - 13*a - 7. Let j(z) = 6*z**3 + z**2 - 12*z - 7. Let w(u) = -6*j(u) + 5*p(u). Give w(-7). 7 Suppose -x = 2*g + 2*x - 2, 0 = 2*g + x + 2. Let b(o) = 4*o**2 + 3*o + 3. What is b(g)?
{ "pile_set_name": "DM Mathematics" }
7 divide v? False Let u be (-22)/(-187) - (-925)/85. Does 27 divide (u/(-33))/(3/9)*-262? False Let a = -4883 + 6676. Is 45 a factor of a? False Let b be (-2)/((-4)/12*3). Suppose r + r - b = 0. Is 3 a factor of 2/(r - (-5)/(-15))? True Let a(u) = 4*u + 22. Let o be a(0). Is 9 a factor of 2*5/20*o*15? False Let i = -978 + 2038. Suppose a - 41 = -5*n + 1735, -3*n = 2*a - i. Is 53 a factor of n? False Suppose 13*w - 48 = 381. Suppose -4*n + 47 + 17 = -o, -n - 4*o + w = 0. Let b = n - -3. Is b a multiple of 4? True Let b = 1208 - -618. Does 16 divide b? False Let i(z) be the first derivative of z**4/4 + 10*z**3/3 - 4*z**2 - 10*z - 4. Let j = -222 - -212. Is 14 a factor of i(j)? True Suppose -3*r - 12 = d, 5*d + 10 = 352*r - 357*r. Suppose 0 = -5*c + 5*m + 396 + 234, -630 = -5*c + 2*m. Is 2 a factor of 20/d + -7*(-6)/c? False Let f be (-403 + 9)*-2*(-3)/(-6). Let n = f - 212. Is n a multiple of 14? True Let l = 17590 - 9791. Does 91 divide l? False Let y = -1398 - -4385. Is 29 a factor of y? True Suppose q + 2*u = 3091 + 1350, 4*u + 22219 = 5*q. Is q a multiple of 37? False Let v(g) = 2*g + 1. Let u be v(2). Suppose -j = 5*z - 10, u*z = z + 3*j + 27. Suppose -5*n + 350 = z*q, -2*q + 3*q = 4*n + 145. Is q a multiple of 19? False Let p(n) = -3*n**3 - 11*n**2 + 6. Let q be p(-3). Let y(c) = c**3 + 13*c**2 + 11*c - 11. Let x be y(q). Is 26 a factor of 8 - (x - (-12)/4) - -126? True Let i = 180 + -173. Suppose -2776 + 235 = -i*d. Is 11 a factor of d? True Let o(v) = 10*v**2 + 4*v - 2. Let i be -6*(-4)/36*-18. Let q = -14 - i. Is 6 a factor of o(q)? True Is (17 - 16)/((-3)/(-31413)) a multiple of 72? False Is 10 - (-58284)/45 - (-12)/15 a multiple of 12? False Let g = 261 - 258. Suppose 4*m = p - 9, p + g*p + 5*m - 99 = 0. Is p a multiple of 3? True Suppose -8*p + 9873 = -17455. Is 7 a factor of p? True Suppose -6*b = 3 + 3. Let t be -10*(3 + (b - -1 - 4)). Suppose -6*q = -t*q + 372. Is 31 a factor of q? True Let s(g) = 32*g + 15*g - 1 - 35*g + 4*g**2. Suppose -t + 4*z = -11 - 4, 0 = 4*t - z + 15. Is 13 a factor of s(t)? True Let s be ((-6)/4 - -1)*(-11 - -1). Suppose 2992 = s*g + 2*w, 16 + 0 = -4*w. Is g a multiple of 20? True Let w be 72/198 - (-51)/11. Suppose -5*j + 8*j - 1197 = -w*u, -1 = j. Is 60 a factor of u? True Let a be (-4)/(-6)*(29 + 1). Suppose 0 = -a*q + 19*q - 6. Is 35 a factor of ((-34)/q)/(2/72)? False Suppose 2*v + 43*x - 4482 = 42*x, 2259 = v + 5*x. Let l = -1327 + v. Is 16 a factor of l? True Suppose -4*x - 2*j - 28 = 0, -9*j + 5*j - 21 = x. Does 10 divide 6/42*2*x*-21? True Let z = 25 + -22. Suppose 0 = -3*y + z*g - 294, -y + 2*g + 110 = -2*y. Is (4 + 48/(-9))*y/4 a multiple of 5? False Let h be (1 - -2 - 4)*(-4 - 0). Let s(b) = 130*b - 44. Is 9 a factor of s(h)? False Let m(d) be the third derivative of d**4 - d**3/2 - 9*d**2 + 12*d. Suppose 3*u + u = 12. Is 23 a factor of m(u)? True Suppose 66785 + 35138 = 4*u - 5*i, -25480 = -u + 2*i. Is 28 a factor of u? False Suppose -73 + 107 = 2*s. Let m = 23 - s. Is 3 a factor of (-5)/((-10)/m) - -28? False Let a be 7 + (-7 - -7) + 1*-2. Suppose -a*r + 318 = -4*v, -5*r - 2*v + 72 = -4*r. Does 9 divide (19/2 - 8) + r/4? True Let o = 33 + -31. Suppose 3*t - 6*f + 123 = -o*f, -f = -2*t - 82. Let b = t - -53. Is b a multiple of 3? True Let s = -95 + 98. Suppose s*h - 335 = -5*j, -9*h + 5*j + 625 = -4*h. Is h a multiple of 16? False Let o(a) = 271*a + 2101. Is 15 a factor of o(-4)? False Suppose 6*s + 3*j - 1763 = s, -5*s = 5*j - 1755. Suppose -5*g - s = -90. Let w = g - -117. Is 32 a factor of w? True Let n(v) = -v**2 + 25*v - 6. Suppose 2*q = i + 2*i - 49, -2*q = 4*i - 42. Is 6 a factor of n(i)? True Let s(z) = -2*z + 18. Let o be s(7). Suppose -o*g + 3*u = -25, 2*g + 0*u = -5*u - 7. Is 15 a factor of (g + 320/25)*(-25)/(-2)? True Suppose 8*w - 38125 - 1001 = 2*w. Is w a multiple of 3? False Let i(b) = b**3 - 6*b**2 + 7*b - 14. Let m be i(6). Let w(k) = -9*k**2 + k - 1. Let g be w(1). Let t = g + m. Is 13 a factor of t? False Let j = -61 - -64. Suppose -u - 5*r + 66 = u, 4*u + j*r = 104. Is 7 a factor of u? False Suppose 4*w = 5*f - 1416, -2*w = -15*f + 20*f - 1392. Does 5 divide f? True Let w(t) = -t**2 + 7*t + 7. Let h be w(6). Suppose -9 = 16*b - 19*b. Suppose -4*i = -12, -32 = -b*y - i + h. Is 14 a factor of y? True Is (-14 + 97)/(-7*36/64 - -4) a multiple of 37? False Suppose 2*t = 3*a + 1110, 2*t - 4*a = 611 + 497. Is 18 a factor of t? True Is -2*(1 - 3) - 5944/(-4) a multiple of 14? False Let b be 1012/10 + 56/70. Suppose b*s - 104*s = -34. Does 10 divide s? False Is 26 a factor of ((-22)/3 + 8)/(22/202125)? False Let j be (-5)/2 - (-438)/(-12). Is (-14948)/(-12) + (-13)/j a multiple of 45? False Let r(a) = -65*a - 230. Let h(d) = -2*d - 107. Let j be h(-47). Does 12 divide r(j)? False Let h(b) = 2*b**2 - 3*b + 3. Suppose -5*c + 3*c = 6. Does 10 divide h(c)? True Suppose -84*p = 59337 - 385761. Does 58 divide p? True Suppose -10*p + 17*p = 8*p + 5*p. Let t(n) = -n**2 - n. Let f(d) = 2*d**2 + 4*d - 47. Let u(k) = -f(k) - 4*t(k). Does 17 divide u(p)? False Let k be 15/(45/(-2)) - (-16)/6. Suppose -5*p + k = -q - 2, p - 5 = 0. Is 2 a factor of q? False Let r be (8/(-10) + 4 + -4)*-30. Let o = -28 + r. Let p = 1 - o. Does 2 divide p? False Suppose 5*j - 13 = 3*z - 0, 1 = -z + j. Let f(v) = -8*v + z*v - v**3 + 14*v - v + 11 - 8*v**2. Is 13 a factor of f(-10)? False Let g = 471 + 7836. Let c = g - 5711. Suppose 0 = 4*f + 7*f - c. Is f a multiple of 21? False Is 6 a factor of 435/(-25)*(-220)/11? True Let m(l) = -l**2 - 12*l + 32. Let c be 83/3 - (-1)/(-6)*4. Suppose -3*n + c = 66. Is m(n) a multiple of 2? False Suppose 140 = 9*u - 5*u. Suppose -9 = -d - u. Let w = d + 116. Is w a multiple of 45? True Let j = -525 + 528. Does 33 divide (j/(-5))/(56/(-10920))? False Is 40 a factor of (-2 - 12336/(-7)) + 158/(-553)? True Let q = 1219 + -863. Suppose -3*m - 182 = -j - 2*m, -2*m = 2*j - q. Is 27 a factor of j? False Let c(y) = y**2 - 4*y - 2. Let d be c(4). Let l(q) = -741*q**2 + 3 - 743*q**2 - 1 - q**3 + 1483*q**2. Is l(d) a multiple of 6? True Let f be 0 + 3 + 0 + 2. Suppose 0 = -h - f*z + 8, 2*h - 4*z - 51 = -7*z. Suppose 2*b + 0*b - 5*k = h, 0 = 3*b + 3*k - 60. Does 17 divide b? False Let m(b) be the third derivative of -29*b**4/8 + 3*b**3 + b**2 - 2. Is 33 a factor of m(-5)? False Let v(a) = 4*a**2 - 12*a - 2. Let y(t) = 2*t + 14. Let g be y(-10). Is 27 a factor of v(g)? False Let d = -40 + 172. Suppose -2*r + 4*o = 94, -3*r - 4*o + o - d = 0. Let h = 15 - r. Does 10 divide h? True Let u be (4/(-6))/(15/((-2025)/30)). Suppose -u*f - f = -3200. Is 5 a factor of f? True Let f = 73 - 61. Is -1 - f/(-2) - -355 a multiple of 30? True Let d be (-2)/4 - (-3 + (-2964)/8). Suppose 14*w - d = 131. Does 12 divide w? True Does 69 divide (-1382670)/(-378) + (-30)/35? True Let x(l) = 21*l + 48. Let u be x(-2). Is 88 a factor of 1074 + 90/u + -7? False Let u = 358 - 104. Let b = 282 - u. Is 18 a factor of b? False Does 7 divide (2/(-4))/(40/(-30)) - (-2114383)/472? True Let d(s) = -4*s - 21. Let g be d(-6). Suppose -m - g*p = -436, -5*m + p + 872 = -3*m. Does 8 divide m? False Let i = 1520 + -1011. Let f be 7 + -9 + 1/(3/1998). Suppose 0 = -5*p + 3*z + f, 4*p = 2*z - 7*z + i. Is 32 a factor of p? False Suppose 3*b = 5*b + 12. Let i be (2 - (-44)/b)/(12/108). Is (i/(-5))/(19/190) a multiple of 12? True Suppose 7*o - 409 = 893. Let k = o + -163. Is 11 a factor of k? False Let k(q) = -5*q**3 - q**2 + 36*q - 11. Is 19 a factor of k(-6)? True Let i(y) = 157*y + 9. Let l be i(5). Suppose 9*h - l = 1942. Is 18 a factor of h? False Let h = 439 - 441. Let s(z) = -99*z + 49. Is 13 a factor of s(h)? True Suppose 4*t + 6 - 2 = 0, -t = -i + 3. Does 29 divide (i - (-2 - 2)) + 23? True Let u(i) = 3*i**2 + 16*i + 18. Let z be u(9). Let r = 863 - z. Is r a multiple of 20? False Is (-1)/(5 - (-216)/(-42)) - -975 a multiple of 10? False Let h = -3496 + 8835. Is 92 a factor of h? False Is 159 a factor of (102*1/(-2))/(13/(-1183))? False Suppose 30 = -5*q - 5*a, -q + 4*q - a + 6 = 0. Let l(r) = 24*r**2 + 11*r + 39. Does 7 divide l(q)? False Suppose -66*x + 6*x - 62*x + 1001742 = 0. Is x a multiple of 51? True Let p = 536 - 536. Suppose -2*s + 3*y + 1764 + 1005 = p, -y = -s + 1387. Is 12 a factor of s? True Suppose 5*o + 4*
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when 158 is divided by z(0). 52 Let q = 274 + 411. Suppose -2*w - 5*x = -q, 5*w - 1047 = 2*w - x. What is the remainder when w is divided by 27? 26 Let w(m) = 9562*m - 4821. Calculate the remainder when w(3) is divided by 204. 201 Let c = 199 + -194. Suppose -4*o = 5*s - 231 - 108, -5*s + c*o + 375 = 0. What is the remainder when s is divided by 38? 33 Suppose 3*f = 5*i + 5*f - 3564, 2*i - 4*f - 1440 = 0. Calculate the remainder when i is divided by 236. 6 Let s = -241 + -21. Let r = 337 + s. What is the remainder when 298 is divided by r? 73 Let n = -428 + 511. Calculate the remainder when 0/((-20)/(-5)) + n is divided by 43. 40 Let a be 9/(-6)*(-3 - 246/18). Calculate the remainder when 10/(a/20 + -1) is divided by 86/5 - 2/10. 6 Suppose 5*y + 5*o = -15, 4*y + 2*o + o = -8. What is the remainder when 368/(-12)*3/(-2) is divided by (12 - 6) + 1/y? 4 Let f = -180 + 132. Calculate the remainder when 87 is divided by (-7)/(42/f) + 2. 7 Let z(l) = -l**2 - 105*l - 1388. Let w(a) = -a**3 - 2*a**2 - a + 1. Calculate the remainder when z(-89) is divided by w(-2). 0 Let s = 745 - 503. Suppose -2*k - 1170 = -5*v - 0*v, v - 2*k = s. Calculate the remainder when v is divided by 18. 16 Suppose 28 = 8*c - 348. Let q = c - 45. Calculate the remainder when 8 is divided by q. 0 Let y be (-4)/6 + (-4 - (-161)/21). Calculate the remainder when -1 + 62 + (-12 + 3)/y is divided by (-1)/(0 + (-3)/60). 18 Let m(x) = x + 6. Let d be m(0). Suppose 3*f = f - d, 0 = -3*u - 3*f + 45. Suppose -4*r + 51 - 7 = 0. Calculate the remainder when u is divided by r. 7 Suppose -f - 2*f = -315. Let u be 3 + 2/(-2*3/3). Suppose -n - 2*n = -4*k - 128, -u*n = -k - 77. What is the remainder when f is divided by n? 33 Calculate the remainder when 83 is divided by (1544/(-26))/(-4) - (-126)/819. 8 Let i(t) = -3*t + 14. Let k be i(8). Let q = -8 - k. Suppose -38 - 33 = -q*u - 5*d, 169 = 5*u + 4*d. What is the remainder when u is divided by 9? 6 Let k be 19215/36 - 5/(-20). Let b = -458 + k. What is the remainder when b is divided by 24? 4 Suppose 423*d - 287*d = -370*d + 143704. What is the remainder when d is divided by 19? 18 Let m = -13384 - -13857. What is the remainder when m is divided by 25? 23 Suppose 0 = 271*k - 266*k + 3*c - 4880, 5*c + 1952 = 2*k. Calculate the remainder when k is divided by 89. 86 Let h = -483 - -149. Calculate the remainder when 6/(-8) + h/(-8) + -2 is divided by 8. 7 Suppose 0 = -55*n - 1208 + 11493. Suppose -11*s = -n - 704. What is the remainder when 157 is divided by s? 76 Let b = 6311 + -6136. Calculate the remainder when b is divided by 86. 3 Let o be 1/3 - (105/(-9) - -9). Suppose 10*m - 91 = o*m. Calculate the remainder when 36 is divided by m. 10 Let y(o) = o**3 - 20*o**2 - 20*o - 19. Let q be y(21). Let g(c) = 5*c**2 + 5*c - 2. Calculate the remainder when g(q) is divided by 5. 3 Let u(c) = -2*c. What is the remainder when u(-6) is divided by ((-16)/(-6))/(-16*26/(-1560))? 2 Let g = -37093 - -37128. What is the remainder when 6433 is divided by g? 28 Let w be (-375)/20*(-40)/6. Suppose 3*y - 39 = -c, 5*c - 7*y + 8*y - w = 0. What is the remainder when 45 is divided by c? 21 Suppose 223 = 3*l - x + 3*x, -3*x = -2*l + 166. Suppose -77 = 4*k - 25. What is the remainder when l is divided by (-5)/(((-39)/(-12))/k)? 17 Let j(z) = 5*z - 41. Suppose 11*p - 8 - 91 = 0. Let a be j(p). Suppose 1 - 7 = -m - 2*g, -a*g = -3*m + 38. What is the remainder when 69 is divided by m? 9 What is the remainder when 6800/7 - 2/((-17)/2 - -5) is divided by 19? 3 Let x be (7/(-7 - -14))/((-3)/(-24)). Suppose -3936 = -24*o - x*o. Calculate the remainder when o is divided by 42. 39 Let j(y) = -4*y**3 + 40*y**2 + 323*y - 46. What is the remainder when j(-7) is divided by 12? 5 Let f = 329 - 312. Let m = 448 + -60. Suppose -3*k - k + m = 4*j, -2*j + 4*k + 212 = 0. Calculate the remainder when j is divided by f. 15 Let n(y) = 31*y**2 + 1486*y - 86. What is the remainder when 56 is divided by n(-48)? 6 Let b = -22635 - -22660. What is the remainder when 4070 is divided by b? 20 Suppose -515648 = 1395*x - 1427*x. What is the remainder when x is divided by 237? 235 Let g(x) be the second derivative of -4*x + x**3 + 0 + 2*x**2 - 1/6*x**4. What is the remainder when 4 is divided by g(3)? 0 Suppose 4*l = -13*h + 8*h + 2646, 2*h = 3*l + 1040. Suppose 3*n - h = n. What is the remainder when n is divided by 22? 21 Calculate the remainder when 0 + 79 + 1 + -2 is divided by (34/(-102)*(-6)/(-5))/((-15)/750). 18 Suppose 4*w - w - 167 = -2*a, -w - a = -57. Let k(s) = 65 - 2*s**2 - w - 40*s - 39. Calculate the remainder when 39 is divided by k(-19). 6 Let m(k) = 2*k**2 + 3*k - 3. Suppose 5*n = -2*n + 11*n - 884. Calculate the remainder when n is divided by m(-5). 29 Let r = 189 + -230. Calculate the remainder when 105 is divided by (-35)/((-63)/(-9)) - 1*r. 33 What is the remainder when 4/(-14) + (-36284490)/(-1386) is divided by 9? 7 Let s(v) = 298*v**3 + 4*v**2 + 7*v + 3. Let c be s(-1). Let i = c - -357. What is the remainder when i is divided by 33? 26 What is the remainder when 2031 is divided by 8*196/544 + 4/34? 0 Suppose 137*x = 3126 + 8108. Calculate the remainder when x is divided by 68. 14 Let n(s) = -s**3 - s**2 + 2*s + 11. Let v be n(0). Suppose v*x - 15*x - 16 = 0. Calculate the remainder when 44 - (39/15 - x/10) is divided by 15. 11 Let w = -78 + 81. Suppose 61 = w*p + i, 5*i - 3*i + 49 = 3*p. What is the remainder when 71 is divided by p? 14 Suppose 2*l = 4*z + 54, 0 = 27*z - 31*z + 8. What is the remainder when 2320 is divided by l? 26 Suppose -2*t = -o - 316 - 302, -630 = -2*t - 2*o. Calculate the remainder when t is divided by 303. 8 Suppose -3837 = -18*a + 357. Let k = -228 + a. What is the remainder when 18 is divided by k? 3 Let o = -30775 - -30952. What is the remainder when o is divided by ((-23)/(-3))/(2/12)? 39 Let w(u) = u**3 - 18*u**2 + 25*u - 3. Let r be w(18). Calculate the remainder when (-1)/(-7) - r/(-7) is divided by 35. 29 Let h be (-2)/5*(8 - (17 + 1)). Suppose -h*p - 5*a = 31, 5*p + 5 = -0*p + 5*a. Calculate the remainder when 133 is divided by 4 + (-2)/p*(-52)/(-2). 14 Let g = 37 - 45. Calculate the remainder when 3 + 14/(-4)*-16 is divided by ((-3)/12)/(-1) - 94/g. 11 Let d(o) = -2*o**3 + 2*o**2 + 2. Suppose -5*r = -3*r - 4. Let p be d(r). What is the remainder when (-4)/p - (-507)/9 is divided by 5? 2 Let n = 75 - 110. Let d = n - -25. Calculate the remainder when 19 is divided by (-141)/(-15) + (-6)/d. 9 Let b be 12*(-3)/(-9) - 21. Let p(n) = -6*n - 88. What is the remainder when 38 is divided by p(b)? 10 Let o = 185 - -816. What is the remainder when o is divided by 22? 11 Let g = -110386 + 110409. Let s = 155 - 67. Calculate the remainder when s is divided by g. 19 Let j be (-6)/4*4/(-3). Calculate the remainder when (-143)/22*(j + -4) is divided by 2. 1 Let t(w) = w + 2*w + 53 + 27 - 13. What is the remainder when 53 is divided by t(-20)? 4 Let n = 2125 - 2070. Suppose -j - j = r + 4, -16 = 2*j + 4*r. Suppose j = 3*c - 46 - 38. What is the remainder when n is divided by c? 27 Suppose -6*c - 264 = -2*c. Let g be ((-143)/(-33) + 5)*-3. Let f = g - c. Calculate the remainder when f is divided by 21. 17 What is the remainder when 268 is divided by (5/((-30)/8))/((-144)/2700)? 18 Calculate the remainder when (55 - 64) + (-2994)/(-4)*2 is divided by 136. 128 Suppose -8483514 = -528*c + 3305670. What is the remainder when c is divided by 154? 152 Let y = 1116 + -467. Let r = y + -585. Calculate the remainder when r is divided by 19. 7 Suppose 0 = -14*b + 11*b + 6. Let n be b/((-22)/24 - 3/(-12)). Let t(o) = -5*o**3 - 2*o**2 - 10. What is the remainder when t(n) is divided by 27? 26 Suppose -3*x = 79 - 91, -3443 = -5*q - 2*x. What is the remainder when q is divided by 46? 43 Let o(k) = -2*k**2 + 21*k + 20. Let q(y) be the second derivative of -2*y**3/3 - 9*y**2/2 + 4*y. What is the remainder when q(-11) is divided by o(11)? 8 Calculate the remainder when (((-2070)/(-150))/(-23))/((-2)/1070) is divided by (-4)/6 - (-394)/6. 61 Let a(h) = -h**3 - h**2 + 24*h + 167. Calculate the remainder when a(0) is divided by 6. 5 Suppose 27*f - 52*f - 55 = -30*f. What is the remainder when 2924 is divided by f? 9 Suppose 541 = -3*y + 4*y. Suppo
{ "pile_set_name": "DM Mathematics" }
+ -306. What is the closest to 0.1 in 5, w, 0.2? 0.2 Let x = 0.568 + 0.242. Let r = x + -1.11. What is the closest to -2 in 13, r, -4? r Let s = 86 + -85.652. Let n = -0.1172 + 0.0692. Let g = n + s. What is the nearest to 1 in -2, -0.3, g? g Let m = -11.7 - -14.7. Let g = 24.9 - 24.6. Let j be (-6)/9 + (1 - 0). Which is the closest to -2/3? (a) j (b) g (c) m b Let t = 964 + -963.8. Let v = -5 - -7. Let y = -1.5 - -1.4. Which is the nearest to v? (a) -2/7 (b) t (c) y b Let s = -16490 - -16461. Which is the closest to -0.1? (a) -4 (b) s (c) -6 (d) 1/5 d Let i(o) = -2*o**2 - 7*o - 14. Let j be i(-5). Let y = j - -29. Let h = 603/11 + -55. What is the nearest to y in -0.1, -3, h? -0.1 Let t(u) = -u**3 - 22*u**2 + 76*u + 27. Let k be t(-25). Let q be k/(-7)*11/(-11). Which is the closest to 0.1? (a) q (b) -5 (c) 0 (d) -2/7 c Let o = -0.0517 + 0.0917. Which is the nearest to -1? (a) 0.2 (b) o (c) -4/7 (d) -8 c Let i be (-30)/675*(10 + (-232)/16). Let k = -24/5 - -91/20. What is the closest to k in i, -3, 0? 0 Let w = -0.2 + 0.1. Let k = -348 - -375.8. Let j = k - 28.8. What is the nearest to w in 2/13, -5, j? 2/13 Let l = -63811 + 63811. Suppose -2 = k - 1. Which is the closest to -1? (a) k (b) l (c) 0.01 a Let p = -0.2 + -32.6. Let m = 32.4 + p. What is the nearest to 2 in 18, m, 3/5, -2? 3/5 Suppose 4*f + 1 = -5*o, -6*f + 3*f = 4*o. Suppose 0 = -m + 5*w, m - 9 = -7*w + o*w. Suppose 0 = -1338*u + 1334*u - 20. What is the nearest to 2/3 in 0.5, u, m? 0.5 Let r = -1.6261 - 59.8739. What is the nearest to r in 0, -0.2, 0.1? -0.2 Let x = -38 + 56. Let w = 15 - x. Let m = -12.2 - -12. Which is the nearest to 0.1? (a) w (b) 0.08 (c) m b Let f = -5 - -2. Let l = -154.725 - 0.275. Let t = l + 158. What is the nearest to 1 in 1, t, f? 1 Let w(y) = y**2 + 42*y + 80. Let j be w(-31). Let z = j + 256. Which is the nearest to -6? (a) -2 (b) 0.4 (c) z c Let l = 3080.6 + -3081. Which is the nearest to -2/5? (a) 5 (b) l (c) -2/37 (d) 2/13 b Let z = -2001 + 773. Let d = 1239 + z. Let l = -3.5 + -0.5. What is the closest to -1/2 in d, 2/5, l? 2/5 Let m = 18 - 13. Let a = 2.39311 + -2.56311. What is the nearest to a in 3, m, -9? 3 Let m = -2156 - -2159. What is the closest to m in -0.2, -0.07, -1? -0.07 Let h = -1.7475 + 2.7475. Which is the closest to h? (a) -2/5 (b) -5 (c) 5 (d) -1/4 d Let j = 291.2 - 302.2. What is the closest to 1 in j, 2, 6? 2 Let x = 249649 + -249652. Let w = -0.76 + 0.7. Which is the nearest to 2/7? (a) w (b) -1 (c) x a Let h = -0.041 + 34.641. Let k = h + -34.3. Let l = -2/885 - -2683/12390. Which is the nearest to 2/3? (a) 4 (b) k (c) l b Let l = -66.9 + 66.8. Let w = -16/5 + 53/15. What is the closest to l in -3, -2, w? w Let i = 0.2 - -16.8. Let g = -2.263798 - -0.263798. Which is the nearest to i? (a) -0.2 (b) -1/2 (c) g (d) 2/11 d Let y(d) be the third derivative of -d**4/4 - 15*d**3/2 - 129*d**2. Let h be y(-8). Let n = -8/13 - -50/39. Which is the nearest to h? (a) n (b) -3 (c) 5 c Let p = 22.35 + -22.95. Let k = -3.84 + -0.16. What is the closest to -0.1 in p, 2/11, k? 2/11 Let m = 69200.7 + -69201. Let f = 3/4 - 5/4. What is the closest to f in 0.19, -5, m? m Let f be 8/2 + (6 + -4)*-2. Let i = -15/454 + -503/12258. Which is the closest to i? (a) f (b) 4 (c) 3 (d) 1 a Let g = -283 - 269. Let i = 552.4 + g. What is the closest to i in -0.5, 5, 7/4? -0.5 Let i = -0.25 + 4.25. Let j = 26 - i. Let s = j - 21.9. What is the closest to s in 0.3, 2/7, -2? 2/7 Let n = -65.8 - -67.8. Suppose z = -4*z - 50. Let r = 21/2 + z. What is the nearest to 0 in r, 6, n? r Let g = 25570 - 281888/11. Let v = 56 + g. Which is the closest to v? (a) 3/2 (b) -1/4 (c) 4 b Let u = 17 - 12. Let l = 2500 - 2501.986. Let z = 0.986 + l. Which is the closest to -2? (a) u (b) z (c) 4 b Let m = 41.57 + -41.77. Which is the closest to 0.1? (a) -2/9 (b) -5 (c) 1/3 (d) m c Let t(y) = -2*y**2 - 4*y + 2. Let p be t(3). Let u be (-4)/(-14) + 22/p. Let z = -16.65 - -12.65. Which is the closest to u? (a) 2/9 (b) z (c) -0.5 c Let j be (-2 + (-84)/(-49))*-1. Which is the nearest to 1? (a) j (b) -24 (c) -10 a Let n = 195 - 195.36. Let x = n - -0.66. What is the closest to x in -0.2, -0.4, 0.4? 0.4 Let z = 1053 + -1052.5. Which is the nearest to 2/3? (a) z (b) 4 (c) 496 a Let p = 434 - 392. Let q be p/(-70)*10/4. What is the closest to q in -2, 5, 1? -2 Let q = 5515.13 - 5590. Let j = 75 + q. Let x = j - -0.87. Which is the closest to 1/3? (a) -1 (b) x (c) -15 b Let k = 26.89 + -27. Let y = k + -0.31. Let i = y - -0.32. Which is the nearest to i? (a) -5 (b) 17 (c) -1 c Let g = -0.05 + -1.75. Suppose 0 = s - 2*d + 15, -4*s - 137*d = -136*d - 12. What is the nearest to s in -3, g, 1, -1/3? 1 Let j = -2 - -1. Let n = -19995 - -19994.8. What is the nearest to 2 in -5, n, j? n Let m = 0.4 + -0.2. Let c = -639 - -673.3. Let j = -34.6 + c. What is the closest to 9/2 in m, -2/5, j? m Suppose -15 = -5*g, -g - 26 = 5*x - 3*g. Let r = -1982/5 + 1984/5. Which is the nearest to 3/2? (a) r (b) x (c) -1/6 (d) 0.3 a Let h = -573 - -572.5. Let g = 351 + -320. Which is the closest to -0.3? (a) 0.1 (b) h (c) g b Let k be (10 - (-816)/(-80))*(0 + 3). What is the nearest to -2 in -5, k, -2? -2 Let y = 0.9 - -0.1. Let d = 193 - 191.85. Let v = d - 1.45. What is the closest to y in v, 1/4, -2/13? 1/4 Let i = 221.426 + -0.426. Let y = i - 222. What is the closest to 2/3 in y, 1/5, 6? 1/5 Let k = 334 - 1001/3. Let f = -140.9 - -141. Which is the closest to k? (a) 0 (b) f (c) 5 (d) 2/7 d Let c = 215/1122 + -1/102. Let i = 22 - 21.82. Let j = 15 + -12. What is the closest to -1/4 in c, j, i? i Let l = -16937/753986 + -93/20378. Let u = 7 - 25/4. Which is the closest to 0.1? (a) u (b) 4 (c) l c Let p = -0.8 + -0.2. Let o = 8.9576 - -0.0424. What is the closest to p in -1, -2, o? -1 Let g = -0.07 + -0.03. Let a = -0.7 - 2.72. Let p = a - -2.42. What is the nearest to p in -6, g, 0.4? g Suppose 109*p - 113*p + 40 = 0. Suppose -13 = p*v - 3. Let i be (-6)/(-15)*(-6)/(-4). Which is the nearest to -1? (a) i (b) 2 (c) v c Let k = 8 - 12. Let c = 17.356 - 0.356. Let d = 20 - c. What is the closest to 0.1 in d, -0.04, k? -0.04 Let t = -1.49 + 13.29. Let l = 16 - t. Let f = 4.7 - l. What is the nearest to 0 in 1, f, 5? f Let l = -500 - -313. Let n = 184 + l. Which is the nearest to 6/7? (a) 1 (b) 0 (c) n a Let r be (-22)/(-18) + 4/(-18). Let s = -189571 - -189598. What is the closest to s in 0, r, 2? 2 Let w be (0 - -1)/((-156)/51 + 3). Let b = 0.0392 + -0.0392. What is the nearest to b in 0.5, w, -1/5? -1/5 Suppose -2*x - 30 = -36. Suppose 3*k = 4*y + 122 + 37, -123 = 3*y - x*k. Let h = y - -37. What is the closest to 0.1 in 0.4, 0.5, h? 0.4 Let u be 3*4/36 - 1210/(-15). Let c be ((-27)/u)/(8/6). What is the nearest to -2 in -5, -3/8, c? -3/8 Let n = 0.8 + -0.44. Let u = n + -1.36. What is the closest to 2 in u, 1/7, -4/9? 1/7 Let h(j) = -j**2 - 7113*j - 21332. Let r be h(-3). Let k = -0.5 - 2.5. Which is the nearest to -0.1? (a) k (b) r (c) 3 (d) 4 b Let r = -6 + 10. Suppose -16 = 94*y - 78*y. Let a be y/2 - (-27)/162. What is the nearest to a in -0.07, r, -2? -0.07 Let x = -196 + 195.9. Let f be (-5 + 2)/(-3) - (-22)/(-20). Which is the closest to x? (a) f (b) 5 (c) -4 (d) -27/4 a Let n = 94 - 58.3. Let c = n + -35. Let p = c - 3.7. What is the nearest to p in -0.4, -4, 0.3? -4 Let t = 5692.9 + -5693. What is the closest to -2.51 in t, -1/3, -0.2? -1/3 Let r = 0.1 - -0.1. Let l = 70045 + -70045.06. Which is the closest to -1? (a) 4 (b) r (c) l c Suppose -3*q + 8*l = 11*l + 483, q + 179 = -4*l. Which is the closest to 0? (a) 0 (b) q (c) -7 a Let z = 0.02 - -0.98. Let p = 0.94197 + -0.44197. What is the closest to -1/3 in z, -0.2, p, 0.4? -0.2 Let y = 5 - 9. Let r = 367 + -5129/14. Let l = -87/70 + r. What is the closest to 8 in y, l, 0? 0 Let m = -0.3 + 0.2. Let p = 0.5 + m. Let w = -28973 - -28970. Which is the nearest to -0.13? (a) -2 (b) w (c) p c Let u = -83.4 + -1.6. Let l = -93.5 - u. Let v = l - -10.5. Which is the nearest to 2/19? (a) 5 (b) -5 (c) v c Let f = -0.2 + 0.5. Let j = -5.7627 - 0.2373. Which is the closest to f? (a) j (b) -3/2 (c) 1 c Let q = -2 - 1. Let m be q/(-20) + 2
{ "pile_set_name": "DM Mathematics" }
-i - 7 = -8*i. Calculate i*v(q) + 3*h(q). q**3 Let k(p) = -20*p**3 + 17*p**2 + 23*p + 14. Let q(w) = w**3 - 18*w**2 - 17. Let j be q(18). Let v(n) = -7*n**3 + 6*n**2 + 8*n + 5. Give j*v(b) + 6*k(b). -b**3 + 2*b - 1 Suppose -4*q = 20, -q + 5 = 4*u - 6. Let v(a) = -a**2 - 4*a - 4. Let i(c) = -3*c - 3. Calculate u*i(r) - 3*v(r). 3*r**2 Let t = 7 - 12. Let s = -1 - t. Let k(z) = 3*z - 2. Suppose 0 = 2*l + l + 15. Let x(a) = 4*a - 2. Calculate l*k(o) + s*x(o). o + 2 Let b(d) = 13*d**3 + 3*d**2 + 4*d + 3. Let r(a) = -12*a**3 - 4*a**2 - 5*a - 4. Give -4*b(h) - 3*r(h). -16*h**3 - h Let q(i) = -4*i + 1. Let j(w) = 13*w - 2. What is 4*j(k) + 14*q(k)? -4*k + 6 Suppose 125*b - 20 = 129*b. Let i(k) = k. Let y(x) = 5*x + 1. Let d(o) = -11*i(o) + 2*y(o). Let p(c) = c - 1. What is b*p(f) - 3*d(f)? -2*f - 1 Let h(a) = -8*a + 1. Let z be h(-1). Let l(y) = y - z*y**2 + 9 + y**3 + 0*y**3 - y. Let k(j) = 2*j**3 - 22*j**2 + 22. Determine 5*k(m) - 12*l(m). -2*m**3 - 2*m**2 + 2 Let w(o) = -7*o - 4. Let d(n) = -6*n - 4. Give -4*d(x) + 3*w(x). 3*x + 4 Let g(k) = -7*k - k**3 - k**3 - 5*k**2 + 0*k + 5. Let p(a) = -2*a**3 - 4*a**2 - 6*a + 4. Let q(c) = -c**2 + 16*c + 5. Let n be q(16). Give n*p(d) - 4*g(d). -2*d**3 - 2*d Let c(v) = -12*v - 11. Let d(f) = -6*f - 6. Give -6*c(h) + 11*d(h). 6*h Suppose -g + 20 = 3*l, -4*l = -3*g - 16 - 2. Let m(a) = -7*a**2 + 7*a + 4. Let i(t) = t**2 - t - 1. Give l*i(w) + m(w). -w**2 + w - 2 Let u = -16 - -10. Let b(k) = -13*k - 7. Let q(d) = -14*d - 7. Let v(y) = -5*b(y) + 4*q(y). Let i(t) = -5*t - 4. Calculate u*v(j) - 11*i(j). j + 2 Let l(c) be the third derivative of -c**4/6 - 7*c**3/6 - 3*c**2. Let y(q) = 0*q + 3*q + 1 - 2*q. Calculate l(p) + 6*y(p). 2*p - 1 Let i(r) = -2*r**2 + 4*r + 6. Let s(y) = y**2 - y - 1. Let m be (-2)/(((-1)/3 + 0)*6). Calculate m*i(u) + 4*s(u). 2*u**2 + 2 Suppose 4*h - 10 = 2*i, 11 = -2*i + 2*h + 3*h. Let r(n) = 2*n + 5. Let v(m) = 3*m + 9. What is i*v(f) + 5*r(f)? f - 2 Let x(j) = -9*j + 5. Let l(o) = 0*o - 3 - 4*o + 5. Suppose -2*w + w = -5. Calculate w*l(p) - 2*x(p). -2*p Let j(z) = -z**2 + 3*z + 4. Let s(i) = 2*i**2 - 5*i - 7. Let c = -104 - -107. Give c*s(m) + 5*j(m). m**2 - 1 Let d(c) = 4*c - 3. Let w(l) = 63*l - 48. Let k(u) = 42*u - 32. Let v be ((-3)/(-2))/((-3)/(-10)). Let r(h) = v*w(h) - 8*k(h). Calculate -11*d(m) - 2*r(m). -2*m + 1 Let c(o) = 4*o**2 - o - 2. Let i be 3 + 3 + -1*8. Let k(s) = 9*s**2 - 3*s - 5. Give i*k(p) + 5*c(p). 2*p**2 + p Let d(a) = -a - 1. Let x(y) = 2*y**2 - 2*y - 3. Calculate 3*d(u) - x(u). -2*u**2 - u Let f(u) = 16*u + 4. Let b(n) = -4*n - 1. Calculate 9*b(w) + 2*f(w). -4*w - 1 Suppose -5*r - 6 = -16. Let k(g) = 10*g**3 - 9*g**2 - 9*g + 9. Let p(v) = -v**3 + v**2 + v - 1. Let h(d) = 19*d - 1. Let n be h(1). Determine n*p(o) + r*k(o). 2*o**3 Let p(c) = -c**2 + 2*c - 3. Let n(z) = z**2 - z + 2. Give -5*n(t) - 3*p(t). -2*t**2 - t - 1 Let c(z) = 1 + 2 - 1 - z**2. Let h(b) = -2*b**2 - b + 5. Give 5*c(o) - 2*h(o). -o**2 + 2*o Let z(r) = -15*r**2. Let a(h) = -8*h**2 - 5*h**2 + 10*h**2. Determine 11*a(x) - 2*z(x). -3*x**2 Let m(u) = -16*u + 4. Let c(y) = -5*y + 1. What is 7*c(w) - 2*m(w)? -3*w - 1 Let w(p) = -p**3 + 4*p**2 - 2*p. Let c(r) = 5*r**3 - 17*r**2 + 9*r + 1. Determine 2*c(a) + 9*w(a). a**3 + 2*a**2 + 2 Let n(i) = 2. Let k(g) = 2*g + 25. What is -k(b) + 5*n(b)? -2*b - 15 Let b(a) = -a**2 - 3*a + 1. Let y(u) = -u**2 - 2*u + 1. Give -3*b(s) + 5*y(s). -2*s**2 - s + 2 Let i(r) = 2*r**3 - 2*r - 2. Let o(g) = g**3 - 2*g - 1. Suppose 3*s + 2 = -7. Let v be 3 + s*2/(-6). What is v*o(z) - 3*i(z)? -2*z**3 - 2*z + 2 Suppose 5*m - 2*a + 30 = -7*a, -2 = 2*a. Let f(n) = 22*n**2 - 16*n - 16. Let j(o) = -7*o**2 + 5*o + 5. Determine m*f(t) - 16*j(t). 2*t**2 Let m be (-77)/44 + 5/(-4). Let r(w) = -w**3 + w**2 + 3*w. Let n(a) = 3*a**3 - 2*a**2 - 8*a. What is m*n(i) - 8*r(i)? -i**3 - 2*i**2 Let r(m) = -15*m**3 - 13*m**2 - m - 17. Let a(i) = 7*i**3 + 6*i**2 + i + 8. Determine -13*a(b) - 6*r(b). -b**3 - 7*b - 2 Let f(c) = 3*c + 2. Let o(j) = -4*j - 3. Let w(r) = -3*f(r) - 2*o(r). Let d(y) = 2*y - 1. Determine -3*d(m) - 4*w(m). -2*m + 3 Let m(a) = -a + 1. Let i = -118 + 122. Let f(q) be the second derivative of 0 - 1/2*q**2 + 1/6*q**i - 2*q + 1/6*q**3. Calculate -f(d) - m(d). -2*d**2 Let c(k) = k. Let u(p) = -6*p + 4. Give -3*c(o) - u(o). 3*o - 4 Let d(x) = -x - 4. Let p(z) = -7 - 2*z + 5 - 18 - 2*z. Give -14*d(b) + 3*p(b). 2*b - 4 Let m(q) = 11*q + 5. Let v(i) = -5*i - 5. Let y(x) = x - 1. Let a(j) = -v(j) + 2*y(j). What is 8*a(p) - 5*m(p)? p - 1 Let r(f) = f + 1. Let a(v) be the second derivative of v**3/6 + 13*v. Give a(p) - 2*r(p). -p - 2 Let v be ((-22)/(-8))/(4/(-16)). Let c be 2/v + 2/11. Suppose c*t + 1 = t. Let h(i) = -i + 1. Let w(z) = 2*z - 2. What is t*w(m) + 4*h(m)? -2*m + 2 Let w(r) = -7*r**2 - 9. Let s(u) = -1. Determine -18*s(f) + 2*w(f). -14*f**2 Let n(x) = x**2 + 3*x - 4. Let b be n(3). Let u(l) = l**2 - b*l - 4*l**2 + 2*l**2 + 13*l. Let k(y) = 2*y**2 + 5*y + 1. Give -k(r) - 3*u(r). r**2 - 2*r - 1 Suppose 0*j - 6 = 2*j + 4*w, j = -5*w. Let n(o) = -8*o**3 + 5*o - 5. Let k(l) = -l**3 + l - 1. Calculate j*k(b) + n(b). -3*b**3 Suppose -4*i + 0*z - 5*z - 9 = 0, 3*z = i - 19. Suppose 3*f = i*f - 1. Let u(n) = 2 - f - n + 0. Let k(p) = p**2 - 5*p + 1. What is -k(h) + 3*u(h)? -h**2 + 2*h + 2 Suppose 3*s = 5*i - 26 + 8, -5*i - 5*s = -50. Let h(u) = 2*u + 11. Let g(o) = -4*o - 23. Let b(c) = i*g(c) + 13*h(c). Let j(f) = 2*f + 4. Give -4*b(n) + 5*j(n). 2*n Let s(a) = -3. Let r(b) = b + 10. Let m(u) = 2*u - 49. Let t be m(21). Calculate t*s(z) - 2*r(z). -2*z + 1 Let x(d) = -1. Let n(c) be the second derivative of -3*c**5/20 - c**4/12 - 5*c**2/2 + 3*c. Calculate n(a) - 5*x(a). -3*a**3 - a**2 Let l(g) = g**3 - g**2 + 1. Let x(o) = 13*o**3 - 6*o**2 + 4. Determine -4*l(b) + x(b). 9*b**3 - 2*b**2 Let n(b) = 3*b**3 + b**2 + 6*b + 6. Suppose -j = -108 + 103. Let f(w) = 2*w**3 + w**2 + 5*w + 5. Determine j*n(l) - 6*f(l). 3*l**3 - l**2 Let w be 6/10 + (-12)/20. Suppose w = -5*s + 4*s + 5. Let p(a) = a + 3. Let k(g) = 1. Give s*k(c) - p(c). -c + 2 Let r(z) = -210*z + 85. Let d(j) = -5*j + 2. Determine 255*d(q) - 6*r(q). -15*q Let o(m) = -5*m**3 + 8*m**2 + 7*m + 5. Let d(v) = 4*v**3 - 7*v**2 - 6*v - 4. Determine -6*d(t) - 5*o(t). t**3 + 2*t**2 + t - 1 Let v(p) = -989*p**3 + 115*p + 115. Let h(t) = 26*t**3 - 3*t - 3. Determine -115*h(l) - 3*v(l). -23*l**3 Let x(t) = 6*t**2 - 5*t + 7. Suppose -2*q + 3*i + 2*i = 2, -5*q - 40 = 5*i. Let u(z) = 2 + 7*z**2 - 11*z + 6 + 5*z. Calculate q*x(d) + 5*u(d). -d**2 - 2 Let j(d) = d + 2. Let k = 28 + -23. Let b(i) = 2*i**2 - 11*i + 2. Let v be b(k). Let u(z) = 1. What is v*u(a) + j(a)? a - 1 Let n(x) = 3*x**2 - 6*x. Let c(m) = -m - 12. Let p be c(-11). Let i(a) = 8*a + a - 8*a - 2*a. Give p*n(f) + 5*i(f). -3*f**2 + f Let t(k) = -13*k**3 - 11*k**2 - 15*k + 9. Let h(i) = -7*i**3 - 6*i**2 - 8*i + 5. Calculate 11*h(g) - 6*t(g). g**3 + 2*g + 1 Let x(f) = 3*f**3 + 5*f**2 - 6*f + 1. Let s(m) = -4*m**3 - 6*m**2 + 7*m - 1. Suppose 188 = 2*t + 16. Let p be t/18 - 16/(-72). Give p*s(j) + 6*x(j). -2*j**3 - j + 1 Let o(f) = 16*f**2 - f + 1. Let x(y) = 15*y**2 - y + 1. What is -4*o(n) + 3*x(n)? -19*n**2 + n - 1 Let q(p) = 2*p + 4. Let v(u) = -4*u - 8. Give -9*q(l) - 4*v(l). -2*l - 4 Suppose -4*a + 315 = 3*l, -2*a + 210 = 2*l - 0*a. Let f(u) = 105*u - l*u + u**2. Let z(k) = -k**3 - k**2. Give f(h) + z(h). -h**3 Let o(p) = 4*p**3 - 10*p**2 - 10*p - 10. Let k(h) = h**3 - 3*h**2 - 3*h - 3. Determine 20*k(g) - 6*o(g). -4*g**3 Let i(z) = 320*z. Let s(d) = 11*d. Give -6*i(g) + 176*s(g). 16*g Let f = -12 - -15. Suppose -f*m = -2*m - 4. Let v(w) = -5*w**2 - 14*w + 6. Let j(x) = 2*x**2 + 5*x - 2. What is m*v(t) + 11*j(t)? 2*t**2 - t + 2 Let i(g) = -3*g**2 + 7*g - 8. Let h(j) = j**2 - 3*j + 4. Suppose -1 - 5 = f - d, 0 = -2*f + 3*d - 13. Determine f*h(a) - 2*i(a). a**2 + a - 4 Let y(c) = 6*c**2 + c**3 - 2*c**2 - 3*c + c**3. Let h(l) = l**2 - l. Give -4*h(j) + y(j). 2*j**3 + j Let p(u) = u**3 - u**2 + u + 1. Let x be -2 + (-3)/(6/(-8)). Let y(i) = i**3 + x*i**2 + 6*i**2 - 7*i**3 - 5*i - 5 - 3*i**2. Determine 5*p(b) + y(b). -b**3 Let u(t) be the first derivative of t**3/6 - t**2 - 4*t - 5. Let o(s) be the first derivative of u(s). Let z(j) = 2. Give 2*o(n) + 3*z(n). 2*n + 2 Let w(r) = 5*
{ "pile_set_name": "DM Mathematics" }
-4 Suppose 2*c = -2*s + 38, s = -4*c + 2*c + 23. Let w = 37 - s. Solve 5*g + 3 + w = 0 for g. -5 Let n(a) = a**2 + 12*a + 4. Let j be n(-12). Suppose 0 = 2*l - j*l + 4. Solve 0*b = l*b for b. 0 Suppose -5*w = -3*w. Suppose i - 6 = -4*q, 3*q - i = 8 - w. Suppose -5*x + 15 = 2*o, 5*o + 4 = 4*x - 8. Solve k - q = -o for k. 2 Let u(l) be the second derivative of l**5/4 + l**4/12 - l**3/2 + l**2/2 - l. Let t be u(2). Let i = t + -27. Solve -i = k + 2*k for k. -4 Let m be (0 + 0)*(-3)/(-9). Solve -3*b + 6 + 6 = m for b. 4 Suppose 5*c = 0, -4*r + r - 24 = 3*c. Let i = 16 + r. Solve -i*v + 3*v = 10 for v. -2 Let w(u) be the third derivative of -u**5/60 - u**4/3 - 3*u**3/2 + 3*u**2. Let j be w(-6). Suppose j*m + 1 = 7. Solve 5 = -m*y - 1 for y. -3 Let g = 101 - 63. Suppose 4*v = -5*s - 46, -v - s - g = 3*v. Let x = 14 + v. Solve x*a - 25 = -0*a for a. 5 Let f be ((-9)/(-27))/(138/45 - 3). Solve f - 14 = -3*o for o. 3 Let j be -18*-2*(-1)/(-3). Suppose 3*s + 3 = j. Solve 0 = s*z - 15 - 0 for z. 5 Let s = -1 + 1. Let d be 8*14/70 + (-4)/(-10). Solve -d*o = -s*o + 4 for o. -2 Let g = 5 - 1. Solve g*p = -0*p + 12 for p. 3 Let h(u) = -u - 7. Let n be h(-10). Suppose n*l = 6*l. Solve -5*a - 13 + 3 = l for a. -2 Let l be (36/(-15) - -3)*5. Suppose 0 = -b + l. Solve -5 = b*u + 2*u for u. -1 Let x(n) = -n**2 + n. Let i be x(-1). Let h be (57/(-6))/(1/i). Let a be h/2 + (-4)/8. Solve 25 = 4*f + a for f. 4 Let h = 9 - 4. Let z(v) = -v**3 - 7*v**2 + 6*v + 1. Let w be z(-8). Let x = w - h. Solve k + x = -3*k for k. -3 Let h(n) = -n**2 - 5*n. Let y be h(-4). Suppose -2*g + g + 16 = 0. Solve -y*o + 0*o = g for o. -4 Suppose d = -3*d + 8. Suppose m + 4*v + 4 = 0, 3 = d*v - 1. Let s be (-27)/(-18)*m/(-2). Solve 16 = -5*i - s for i. -5 Suppose 2*l - 7*l = 2*i - 54, -4*i + 38 = 3*l. Let c(z) = z - 7. Let o be c(9). Solve -3*h - o = l for h. -4 Suppose 27 + 3 = 3*h. Let m = 12 - h. Solve m = 3*v - 7 for v. 3 Let v be ((-8)/(-5))/(5/50). Let q = 17 - v. Solve 0*f = -f + q for f. 1 Let y be 0/(-2 - -2 - -2). Solve 3*q = 3 - y for q. 1 Suppose -c - 3 = 2*c + n, 4*n = 5*c - 12. Let o(p) = p + 1. Let a be o(c). Solve -a = 3*l - 4 for l. 1 Let o(w) = w**3 + 20*w**2 + 19*w + 2. Let i be o(-19). Solve -i*r = -7*r for r. 0 Let q = 8 - 19. Let m = q - -13. Solve -7 = g - m for g. -5 Let q be ((-3)/4)/((-12)/64). Solve p + 2 = q for p. 2 Let n(j) = -2 + j - 10*j - 6*j. Let p be n(-8). Suppose 0 = 3*k - 0*s + 2*s - 86, -3*s - p = -5*k. Solve 6 = -4*g + k for g. 5 Suppose 2*h - h - 3 = 0. Suppose -1 = 5*p + m + 7, 4*m - 6 = -p. Let l be (3/p)/((-12)/32). Solve -5 = -h*v + l for v. 3 Let b = 4 - 6. Let i be (3/b)/((-3)/18). Solve j + i = 4*j for j. 3 Let n(s) = 3*s**2 - 33*s - 30. Let x(z) = z**2 - 11*z - 10. Let o(g) = -3*n(g) + 8*x(g). Let j be o(10). Solve -3*d - 2*d = -j for d. 4 Let y(c) = -c**2 + 13. Let f be y(0). Solve -5*o + 2 = -f for o. 3 Let i(y) = 3*y + 65. Let u be i(-20). Solve 2 = u*d - 8 for d. 2 Let j = 19 - 19. Suppose -5*d - 4 + 19 = 0. Solve s + j*s = d for s. 3 Let t(g) = -g**2 + 5*g. Let b be t(4). Let o(h) = -h - 2. Let z be o(-3). Solve 0 = -b*l + 9 - z for l. 2 Let c(f) = -f**2 - 11*f + 26. Let l be c(-13). Solve -u = -l*u + 4 for u. -4 Let p be 2*(-12)/(-32)*4. Solve 0 = p*r - 2*r - 2 for r. 2 Suppose r - 12 = -0*r - 2*m, -10 = -5*m. Suppose 3*o + 20 = r*o. Solve 0 = -0*y + o*y for y. 0 Let m = -20 + 24. Let h be (-4)/(-1) - (0 - -1). Solve h*v - 5 = m for v. 3 Suppose -b + 3*d - 7 = -d, 2*d = 2*b - 4. Suppose b*a = -0*a. Solve 5*u = -a*u for u. 0 Suppose -11 + 61 = 5*d. Let l(y) = -4*y - 7. Let b be l(-7). Let q = -11 + b. Solve -q - d = 5*g for g. -4 Let n(f) = -f**3 + 6*f**2 - 4*f - 4. Let j be n(5). Let w be (3/3)/j + 3. Solve w*i - 17 = -1 for i. 4 Let i be 0/(-3 + 2 + -1). Suppose -3*m + i*m = 0. Solve m = -4*y - 13 + 1 for y. -3 Suppose -2*y = 4 - 14. Suppose 3*d - 3 = -3*i, y*d + i = -1 + 10. Let p(z) = z**2 - 3*z - 4. Let l be p(5). Solve d*m - l*m = -4 for m. 1 Let b(a) = a + 8. Let c be b(-6). Let p be 2 + 0 + 0 + c. Solve 3*j = p - 19 for j. -5 Let x = -14 - -14. Solve -6*l + l + 5 = x for l. 1 Suppose 5 = 3*v - 7. Solve -v = 3*c - c for c. -2 Let g be (-4)/2*35/(-14). Solve -t = -0*t - g for t. 5 Suppose 0 = -6*o + o + 75. Suppose 0*s + o = 3*s. Let j be (3/1)/(11/11). Solve 4*w - s*w = j for w. -3 Let c be (2/3)/(8/(-12)). Let b = 2 - c. Solve -b*f + 4 = -f for f. 2 Let x(y) = 2*y**2 - 2 - y + y**3 - 3*y**2 + 0*y**2 - 2*y**3. Let m = 5 - 7. Let w be x(m). Solve 0 = v + 3 - w for v. 1 Suppose 27 + 33 = 12*p. Solve 3*d - p - 1 = 0 for d. 2 Suppose 0 = -4*l - 3*z - 13, -z = 2*l + 4 + 1. Let m = 0 - l. Let j = 1 - m. Solve j = 5*x - 2*x for x. 0 Suppose j - 4 = -3*p - 1, 5*p + 2*j - 6 = 0. Solve p = -m - 1 for m. -1 Let k be 3/(-2) + 14/4. Solve 0*v + k*v = 8 for v. 4 Suppose -5*f + 4 = -p + 32, -3*p - 16 = 5*f. Solve 1 = c + p for c. -2 Let p = 166 - 116. Suppose 0 = 3*t + 2*t - p. Solve t = 4*q - 9*q for q. -2 Suppose -3*w = -0*w. Solve 4*k = -w*k for k. 0 Let b = 3 - 3. Suppose k + 2*t = 3, 0 = -0*k - 2*k + 4*t + 6. Solve b = -0*w + 3*w - k for w. 1 Suppose -5*m + 16 = -2*w, -m - 14 = -w - 4*m. Suppose 1 = -3*v - o + 3, -2*o - 4 = w*v. Suppose -5*d = 3*i - 88, 0*i = v*d + 3*i - 28. Solve d = -4*q + 4 for q. -4 Suppose -20 = -j + 3*x, -2*x - 3*x - 15 = 2*j. Suppose 5 = r - 0. Suppose -3*s + 3*y + 10 = -4*s, -4*s - j*y - r = 0. Solve -4 - 6 = -s*p for p. 2 Let p be 309/21 - (-4)/14. Let s = 22 + -18. Solve -s*a + 1 = -p for a. 4 Let o(k) = -k**3 - 4*k**2 - 5*k - 2. Let w be o(-3). Let c be (-4)/(-2)*10/w. Solve -c*t - 10 = -3*t for t. -5 Let j be 4/(-10) - (-36)/15. Let y(u) = u. Let h be y(0). Suppose -3*m + h*m - 12 = 0, 3*c - 4*m = 25. Solve -j*r - 15 = c*r for r. -3 Let g be 4/(-7)*(4 - 11). Suppose 5*t + 0 = -5, 3*q - g*t = 13. Solve 2*x = -q*x - 10 for x. -2 Suppose 0 = 2*f + 2*f - 108. Solve -11 + f = 4*v for v. 4 Let y be (2/1)/(10/(-45)). Let m = 14 + y. Solve -2*n = 3 + m for n. -4 Let r be ((-12)/8)/((-2)/(-24)). Let a be (-4)/r + 4/(-18). Solve a = -0*l - 3*l for l. 0 Let o(d) be the third derivative of d**6/120 + d**5/20 - d**4/6 + d**3/3 + 2*d**2. Let l be o(-4). Solve 6*u - 4 = l*u for u. 1 Suppose 8*b = 10 + 14. Solve -b*w = -6*w + 9 for w. 3 Let z(i) = -2 - 8*i + 5*i + 2*i + 6. Let k be z(2). Let j be 10*k/12*3. Solve -j*d = -d - 12 for d. 3 Let h = -13 - -12. Let m = 3 - h. Solve q - m = -0*q for q. 4 Let u(c) = -7*c - 3. Let v(f) = 27*f + 11. Let g(a) = 22*u(a) + 6*v(a). Let i be g(1). Solve 7 + i = 5*l for l. 3 Let c = 3 - 0. Suppose -c*g = 2*g + 5. Let o be (1/g)/((-3)/9). Solve 0 = o*b - 4*b for b. 0 Let n(d) = -d + 1. Let k be n(4). Let i be -1 + -10 - (k - -1). Let o(l) = -l**3 - 9*l**2 - 2*l - 8. Let q be o(i). Solve -5*f - 10 = q for f. -4 Let i be ((-1)/(-2))/(1/6). Let p(c) = c + c**2 + i - 1 - 2. Let k be p(-1). Solve -5*l = -k*l for l. 0 Let m = 25 - 16. Suppose -20 = -33*v + 28*v. Solve o = v*o - m for o. 3 Let g(m) = -m**2 + 6*m - 6. Let j be g(3). Solve 2*f + j*f = 20 for f. 4 Let p(b) = -7*b**2 - b + 10. Let w(a) = 11*a**2 + a - 15. Let h(t) = -8*p(t) - 5*w(t). Let s be h(-5). Solve v + s = 3 for v. -2 Suppose 3*t - 46 = 7*t + 3*s, t + 2 = 4*s. Suppose -3*j + 25 - 70 = 0. Let g be (-86)/t + j/25. Solve -l - l = -g for l. 4 Let z be 8 + (-4)/(-12)*0. Solve -u = u - z for u. 4 Suppose -3*m + 5*w + 39 = -1, 0 = 5*m + 2*w - 46. Solve -m = 3*j - j for j. -5 Let v be (-3)/(-2)*(-12)/(-6). Solve v*j + 0*j = 3 for j. 1 Let t = 32 + 14. Let z = 67 - t. Let j = -13 + z. Solve -5*h + j + 2 = 0 for h. 2 Let p = -15 + 21. Solve -p*s + s + 15 = 0 for s. 3 Suppose -2*c + 2*n + 7 = -1, -n = c + 2. Suppose -c = -5*h + 9. Solve -14 = -4*v + h for v. 4 Suppose -3*h = 2*h + 10. Let a be (-29)/9 + h/(-9). Let s be a/(-2)*16/6. Solve s*q = q for q. 0 Suppose 11 - 39 = 2*i. Let f = i + 20. Solve w = f*w for w. 0 Let c be -3*(5/(-3) - -1). Solve 3*d - c*d = -1 for d. -1 Let f = -99 + 101. Solve -f*r = r + 9 for r. -3 Let c(l) = -l**3 + l - 1. Let y be c(1). Let x = 3 + y. Let k be (-1)/x + (-5)/(-10). Solve k*v + 12 = -4*v for v. -3 Let o be 9/2 - 9/18. Solve o*y = -3 - 5 for y. -2 Let g(j) = 0*j**3 + 3*j**2 + 1 + j**3 + 3 - j**2 - 2*j. Let i be g(-3). Suppose 4*v - 7 - 9 = 0. Solve 7 = -v*r - i for r. -2 Let o(k) = k**3 - 5*k**2 +
{ "pile_set_name": "DM Mathematics" }
e h = 4*l + 4*y - 146, 239 = 3*l - y. Is l a prime number? True Let a(c) = 7*c**3 - 16*c**2 - 9*c + 115. Is a(11) composite? True Let j(b) = b**3 - b**2 + 3*b + 1. Let o(y) = -y**2. Let a(l) = j(l) + 2*o(l). Let v be a(5). Suppose -v = -n - n. Is n a composite number? True Suppose -5*d + t + 590312 = 0, -4*t - 115288 = -2*d + 120826. Is d composite? True Let s(b) = b + 1. Let d(k) = 15*k**2 + 2*k + 16. Let a(w) = 5*w**2 + w + 5. Let g(j) = 8*a(j) - 3*d(j). Let o(n) = -g(n) - 2*s(n). Is o(5) a composite number? True Suppose -507 = -5*d + 848. Suppose 4*z - d = 5*x, -247 = -3*z - 2*x - 3*x. Let y = -37 + z. Is y composite? False Let g be 5 + -3 + 0 + (-1)/(-1). Let h(n) = 14*n**3 + n**2 - 4*n + 2. Is h(g) a prime number? False Let o(z) = 3*z + 15. Let p be o(-6). Is 660 - p - (0 - -1) prime? False Let o(k) = 7*k + 1. Let i be o(-5). Is (-8 + -30)*i/4 composite? True Let o = -10 - -13. Suppose -f - 2 = o. Let x(u) = -36*u + 5. Is x(f) a composite number? True Let u = 14593 - 10146. Is u prime? True Let y(i) = -1338*i - 575. Is y(-11) a prime number? True Suppose 4*g + n = -n - 20, -g = 2*n + 5. Let z(f) = 6 + 5 - 169*f**3 - 2*f**2 + 168*f**3 - f - 12 + 0*f. Is z(g) a composite number? False Suppose 7*u - 7 = 266. Suppose 40*z = u*z + 485. Is z prime? False Suppose 2*m - 3*m = 4*z, 5*z = 0. Suppose o = -m*o + 319. Is o prime? False Suppose 4*b - g = -1 - 42, -4*g = 4*b + 68. Let y be 508/b*(-17 + 2). Suppose -p = 4*p - y. Is p a composite number? False Suppose -5*m + 15 = -0*m + 5*l, -m - 5*l + 7 = 0. Let i(s) = 17*s**2 + 4*s + 1. Is i(m) composite? True Suppose -4*q = 3*k - 25, -4*q = -3*k - 0*q + 17. Suppose 0*b = k*b - 1295. Is b prime? False Let o be (-3)/12 - (-37)/4. Let r = -5 + o. Suppose 0 = 2*w + 3*i - 178, -r*w - 4*i + 392 = -7*i. Is w prime? False Suppose -5*q + 2*q + 5*l - 8 = 0, q - l = 0. Is (-111)/(-6) - q/(-8) composite? False Let c = -257 + 470. Suppose 0 = 5*j - 722 - c. Is j a prime number? False Let q(x) = 2*x**2 - 6*x + 11. Suppose -4*f + 34 + 4 = 3*n, 34 = 4*f + n. Is q(f) prime? False Let i(v) = -v**3 - 5*v**2 - 13*v - 7. Let n be (-30)/3*(-1)/(-2). Let o be i(n). Is (2 + -1)/(1/o) prime? False Suppose 68579 = -284*k + 291*k. Is k a prime number? False Let z = -130 - -442. Suppose 0 = -5*h + 4*h + 3*g + 151, 0 = -2*h + g + z. Is h a prime number? True Let c(j) = 31441*j + 172. Is c(3) prime? False Suppose 2*m = -p + 12, -2 = -p - 0. Suppose -m*v + 2077 = -518. Is v composite? True Suppose -2*l = 10 - 6, 0 = 4*c - 2*l - 19760. Is c prime? False Suppose 0 = 3*h - 2736 - 3312. Suppose 3*b - h = -0*b. Suppose -3*j - 3*z = -j - 668, 2*j - b = -5*z. Is j a prime number? True Let f(k) = -2*k**3 + 6*k**2 + 2*k + 14. Let y be f(-7). Suppose 2*h - 3 = 13. Is (-3)/2 + y/h a prime number? False Let z(r) be the second derivative of 403*r**5/20 + r**4/3 - 5*r**3/6 + 5*r**2/2 + 4*r + 4. Is z(2) a composite number? True Suppose 0 = 4*m - 3*m - 3. Suppose 0 = 3*o + m*r - 5925, -4*o + 4*r - 974 + 8858 = 0. Is o prime? True Suppose -3 + 8 = m. Suppose -m*k + 5117 + 2158 = 0. Suppose -5*g + k = -2*v + 4*v, 4*v - 273 = -g. Is g a composite number? False Let x be (-3)/21 + 58/14. Suppose 6*q + 6 = 4*q, -x*z + q + 895 = 0. Is z a prime number? True Suppose 12 = 4*r, 4*f - 4*r = f - 735. Suppose -2*m = -7*m + 2260. Let u = m + f. Is u a composite number? False Suppose -17*d = 8869 - 34556. Is d a prime number? True Let i(y) = 164*y + 849. Is i(8) composite? False Suppose -178*h + 168*h + 16570 = 0. Is h prime? True Let z = -22 - -4. Is 16/72 - (-40)/z - -424 composite? True Suppose 21*t = 4*t + 11917. Is t a composite number? False Suppose 32 = -4*i + 2*k, -3 = 4*i + 3*k + 9. Let m(o) = -5*o + 8. Is m(i) a composite number? True Let t(h) = -h**3 + 4*h**2 + 5*h - 16. Let q be t(4). Suppose 4*i + 8*m - 12644 = q*m, 4*m + 9497 = 3*i. Is i a prime number? True Suppose -4*d - 3*a = -13, 0*a + 2 = 5*d - a. Suppose 5*c - d = -6. Is (-12)/c + (2 - 3) composite? False Let y(n) = 57*n + 4. Let w be y(-7). Suppose 3*x - 5*x = 500. Let c = x - w. Is c a prime number? False Let z(s) = 2*s**2 + s - 6. Let v be z(-3). Is v/(9/(-2)) + 193 composite? False Is (-6)/(24/(-140))*3006/90 composite? True Let y = 9 - -22. Let r = -28 + y. Is 795/2*2/r a composite number? True Let i = 108 + 128. Let a = i + -75. Is a composite? True Let j = 2378 - 1207. Is j composite? False Suppose 5*i = 82428 - 22618. Is i composite? True Let d(k) = k**2 - 4. Let c = -12 + 9. Let r be d(c). Suppose 0*h - 215 = -r*h. Is h prime? True Suppose -5*k = -h - h - 16257, 2*k - 6499 = -3*h. Is k composite? False Suppose -4*h + 3*q + 3731 = -0*q, 2*h - 2*q - 1866 = 0. Let j(b) = -b**3 - 16*b**2 - 7*b - 28. Let w be j(-16). Is h/14 + 36/w composite? False Is (-2)/(((-4)/(-5842))/(-1)) composite? True Suppose -3*u + 5562 = 3*q, 2*q = -3*q - 2*u + 9261. Is q prime? False Let s = -7 - -7. Let a(v) = -50*v**2 - 11 + v + 56 + 49*v**2 + 50. Is a(s) composite? True Let i = -4190 + 11047. Let g = -4404 + i. Is g prime? False Let k = 64 + -62. Suppose -k*w + 1174 = -2628. Is w a composite number? False Let o(y) = y**3 + 12*y**2 - 11*y - 13. Let x be o(-12). Suppose 5*z = 4*z + x. Is z composite? True Is 59 - (3*(-5 - -4) - -5) a composite number? True Suppose 2*c - z + 12 = 0, -12 - 12 = 2*c - 4*z. Let j be (-702)/c*(4 - 2). Suppose -j - 1384 = -5*g. Is g a prime number? True Suppose -53*b + 37*b = -301856. Is b a composite number? True Let g(z) = 4*z**2 + 4*z - 39. Let v = -10 - -26. Is g(v) composite? False Suppose 4*h + 9327 = 5*k - 17831, -4*k = 3*h - 21745. Suppose 7*t - 2*t - 4*c - 6797 = 0, -4*t = -5*c - k. Is t prime? True Let o(s) = -8 - 9*s - 20*s + 0*s - 8. Is o(-15) a prime number? True Let m = -11 + 47. Is 27/m - (-18841)/4 a prime number? False Suppose 3*u - 4264 = -4*q + 4*u, 4*u + 3185 = 3*q. Is q a prime number? False Let m be (-360)/(1/(0 + 1)). Suppose 1657 = -8*k - 3231. Let p = m - k. Is p a composite number? False Let c(d) = -d**2 + 12*d - 8. Suppose 4*y - 6*y + 18 = 0. Is c(y) a prime number? True Suppose -2*g - 161 = -4*m - 3*g, -m + 38 = g. Let u = m + -28. Let r(n) = 20*n - 7. Is r(u) a composite number? True Let q(w) be the second derivative of 2*w**4/3 - w**3/6 + 3*w**2 - 27*w. Let v(l) = -4*l**2 - 1. Let g be v(-1). Is q(g) prime? True Let i(g) = 8*g - 22. Let t be i(4). Suppose t*v + 655 = 15*v. Is v a composite number? False Suppose 13*l - 12*l = 3. Let h be (4/(-6))/((-10)/45). Suppose l*d = -h*n + 261 - 90, 0 = -4*n. Is d prime? False Suppose 0 = 2*y - 4*m - 20, -m = 3*y - 0 - 2. Suppose 6 = d + y. Suppose 0 = j - 4*j - 5*n + 1256, -d*j = 4*n - 1672. Is j prime? False Let b(x) = -x**3 - 7*x**2 + 11*x - 2. Let j = -38 + 25. Let t be b(j). Is (-4)/6 - t/(-3) prime? False Suppose h + h + 3604 = -4*u, -2*h = 3*u + 2705. Let b = -582 - u. Is b composite? False Let k(j) = j + 26. Let c be k(0). Suppose 0 = 3*n - 15, 3*b - c = -n - 9. Suppose -b*x + 4*o = o - 139, 68 = 2*x - 2*o. Is x composite? False Let z(m) = -225*m + 256. Is z(-35) a prime number? False Let k = 7 - 5. Suppose -2*y + 10 = 0, -3*o + k*o + 17 = -y. Suppose 0 = p - 255 + o. Is p a composite number? False Suppose 0 = 2*s - 2*p + 6*p + 10, 14 = 2*s - 2*p. Let f(b) = b**2 - b - 2. Let z be f(s). Suppose z*u - 31 - 5 = 0. Is u composite? True Suppose -28 - 23 = -3*j - 2*o, -5*j + o = -72. Suppose j*l + 5915 = 24800. Is l a prime number? True Suppose 2*o = 10058 + 1616. Is o a prime number? False Let g(x) = 99*x - 88. Is g(5) a composite number? True Let n(c) = 67*c**3 - 7*c**2 - 4*c + 29. Is n(5) a composite number? False Let k(q) = -q**3 - 9*q**2 - 2*q - 16. Let c be k(-9). Suppose 3*o + 5*w - 662 = 0, c*o + 3*w + 214 = 655. Is o prime? False Let w = -3626 + 15875. Is (w/27)/(1/3) prime? True Let d(y) = -27*y**3 - 8*y**2 - 35*y + 1. Is d(-6) a composite number? True Let t(q) = -q**2 - 8*q + 6. Let i be t(-7). Is (99 - i)/((-4)/(-14)) prime? False Suppose 5*s = 2*j + 29185, 10*s + 3*j = 5*s + 29185. Is s a prime number? False Let r = 18525 + -7471. Is r composite? True Let h(i) = -1477*i + 309. Is h(-5) a prime number? False Let h(b) = -3*b + b + b - 5*b - 10. Let j be h(-13). Is j/6 - 7/21 a prime number? True Let w = 91 + -61. Let v(j) = -3 + w*j - 1 + 1 + 21*j. Is v(6) a prime number? False Let j(n) be the fi
{ "pile_set_name": "DM Mathematics" }
Let c(l) = -l**2 + l - 1. Determine s*j(h) - 28*c(h). -4*h**2 Let n(a) = 7*a - 7. Let o(s) = s. Let r(g) = -n(g) + 3*o(g). Let d(w) = 6*w - 4*w - 3 - 3*w + 4. Calculate 5*d(x) - r(x). -x - 2 Suppose 5 = 3*i - 1. Suppose 0*v + 12 = i*v. Let o(r) = 7*r**2 + 6*r + 5. Let b(n) = -6*n**2 - 5*n - 4. What is v*b(j) + 5*o(j)? -j**2 + 1 Let j(u) = -u**3 - 96*u + 4. Let p(b) = 3*b**3 + 191*b - 9. Calculate -5*j(s) - 2*p(s). -s**3 + 98*s - 2 Let z(g) = -22*g**3 + 2*g**2 - 6*g - 4. Let t(p) = p**3 + p + 1. Calculate -5*t(y) - z(y). 17*y**3 - 2*y**2 + y - 1 Let k(f) = 0*f**2 + 5*f**2 + 6 - f**2. Let s(t) = 7*t**2 + 11. Suppose 290 = -3*g + h + 113, -4*h = -5*g - 302. Let r be 9/(-75)*-5 + g/5. Give r*k(v) + 6*s(v). -2*v**2 Let t(w) = -11*w**2 + 7. Let u(n) = 11*n**2 - 18*n - 4. Let p(h) = -12*h**2 + 21*h + 4. Let l(b) = -6*p(b) - 7*u(b). Give 7*l(m) - 4*t(m). 9*m**2 Let z(m) = 2*m**2 + 1. Let l(h) = h**2. Let u(i) = -i**3 + 39*i**2 - 39*i + 37. Let j be u(38). Give j*z(w) - 2*l(w). -4*w**2 - 1 Let k(g) be the first derivative of 0*g**3 + 21 + 55/4*g**4 + 25*g + 0*g**2. Let q(o) = 9*o**3 + 4. Give 4*k(b) - 25*q(b). -5*b**3 Let a(x) = -15*x - 267. Let b(r) = 3*r + 53. Give 5*a(j) + 24*b(j). -3*j - 63 Let y(n) = -472*n**2 - 1 + 474*n**2 + 2*n**3 + 0 - 1. Let r(w) = -6*w**3 - 7*w**2 + 7. Calculate 2*r(v) + 7*y(v). 2*v**3 Let c(j) = -6*j**2 + 7*j**3 + 260 - 266 + 3*j**3. Let u(r) = -3*r**3 + 2*r**2 + 2. Let h = 8 - 6. What is h*c(p) + 7*u(p)? -p**3 + 2*p**2 + 2 Let s(y) = -5*y**2 - 8*y - 109. Let q(r) = 2*r**2 + 3*r + 37. Determine 11*q(c) + 4*s(c). 2*c**2 + c - 29 Let p(h) = -5 + 4*h + h**2 - 3*h + 4. Let v(d) = 2*d**3 - 6*d**2 - 4*d + 6. Give -6*p(b) - v(b). -2*b**3 - 2*b Let r(j) = j**2 + 6*j + 3. Let b(l) = -6*l**2 - 31*l - 16. Let z be (-1)/2 + -3*56/(-48). Suppose -z*u + 50 = 17. Determine u*r(q) + 2*b(q). -q**2 + 4*q + 1 Let x(y) = 7*y**2 + 3*y - 4. Let v(m) = 4*m**2 + 2*m - 2. Let j = 26 + -21. Suppose 3*z - 15 = 0, -5*z = -j*g - 0 - 10. Calculate g*x(p) - 5*v(p). p**2 - p - 2 Let f(l) = -1104998*l. Let v(g) = 1897*g. Give -5*f(p) - 2913*v(p). -971*p Let q be 10/4 + (-3)/6. Let b(a) = 69*a**2 + 4*a - 72*a**q - 4 + 4. Let o(x) = -2*x - 1. Let g be o(-3). Let t(l) = -l**2 + 2*l. Determine g*t(u) - 2*b(u). u**2 + 2*u Let v(p) = -5*p**2 + 4*p + 3. Let t(i) = 5*i**2 - 5*i - 3. Determine 2*t(c) + 3*v(c). -5*c**2 + 2*c + 3 Let o be (-32 - -30)*4/8. Let j(a) = a**2 - a + 1. Let v(w) = -4*w**2 + 2*w - 3. Calculate o*v(n) - 5*j(n). -n**2 + 3*n - 2 Let y(i) = -84*i**2 - 2*i - 1. Let g(p) = -p**2. What is g(q) + y(q)? -85*q**2 - 2*q - 1 Let u(g) = -g - 1. Let i(s) = 16*s + 10. Give i(d) + 6*u(d). 10*d + 4 Let g(m) = -m**3 + 2*m**2 + 4. Let q(r) = -r**3 + 3*r**2 + 3. Determine 6*g(x) - 5*q(x). -x**3 - 3*x**2 + 9 Let j(x) = 6*x**2 - 7. Let y = 98 - 96. Let f(s) = 4*s**y - 8 + 4*s**2 + 2*s**2 - 3*s**2. Give -4*f(l) + 5*j(l). 2*l**2 - 3 Let d be 1*(-3)/6 - 162/(-36). Let r(w) = -4*w**3 + 19*w**2 - 7*w + 7. Let t(i) = -i**3 + 6*i**2 - 2*i + 2. Calculate d*r(z) - 14*t(z). -2*z**3 - 8*z**2 Let c(g) = -6*g + 12. Let u(a) = 5*a - 14. What is 6*c(h) + 5*u(h)? -11*h + 2 Let n(x) = -89*x**2 - 6. Let v(l) = 30*l**2 + 2. Give -3*n(i) - 8*v(i). 27*i**2 + 2 Let k(c) = 5*c**2 - 41*c + 6. Let x be k(8). Let u(t) = t**2 + t - 2. Let n(i) = -i + 3. Determine x*n(a) - 3*u(a). -3*a**2 - a Let d(m) be the second derivative of -m**3/3 + 5*m**2/2 - 2*m + 1. Let q(b) = -6*b + 14. What is 11*d(y) - 4*q(y)? 2*y - 1 Let n(o) = -8*o. Let z(a) = -2*a**3 + 23*a**2 - 12*a + 17. Let f be z(11). Let y(d) = -3*d. What is f*n(k) - 17*y(k)? 3*k Let g(r) = -r**3 - 5*r**2 - 18*r - 7. Let h(y) = y**3 + 4*y**2 + 12*y + 5. What is 5*g(t) + 7*h(t)? 2*t**3 + 3*t**2 - 6*t Let a(j) = -215*j - 9. Let o(w) = 209*w + 11. Give -7*a(c) - 6*o(c). 251*c - 3 Let u(v) = -v**2 + 2. Let n = -34 + 39. Suppose 2*c - 26 = 4*b + 2, -10 = n*b. Let k(q) = -3*q**2 + 5. Determine c*u(w) - 4*k(w). 2*w**2 Let s(a) = -2*a - 2. Let n(p) = -24*p - 18. Give 4*n(y) - 40*s(y). -16*y + 8 Let w(g) = -2*g**2 - g - 2. Let p(v) = -6*v**2 - 3*v - 7. Suppose -44*h = -15*h - 58. Calculate h*p(i) - 7*w(i). 2*i**2 + i Let p(l) = l + 5. Let s(m) = 3*m**2 + m + 23. Determine 3*p(u) - s(u). -3*u**2 + 2*u - 8 Let v(x) = 443*x - 906*x - 5 + 3 + 462*x - 6*x**3. Let u(a) = -11*a**3 + a + 3*a - 6*a - 3. Determine -4*u(h) + 7*v(h). 2*h**3 + h - 2 Let n(l) = -792*l + 440. Let h(i) = -88*i + 48. Determine -55*h(c) + 6*n(c). 88*c Let g(y) be the first derivative of -y**4/4 + y**3/3 - y**2/2 + y + 1. Let s(w) = -6*w**3 + 4*w**2 - 4*w + 4. What is -12*g(q) + 3*s(q)? -6*q**3 Let u(q) = 327*q**2 - 5*q + 10. Let l(m) = 490*m**2 - 7*m + 14. What is 5*l(z) - 7*u(z)? 161*z**2 Let c(m) be the third derivative of -m**4/12 + m**3/2 + 72*m**2. Let t(x) = 2*x - 4. Determine -4*c(l) - 3*t(l). 2*l Let u(a) = 12*a - 6*a - 1 + 0 - 5*a. Let s(d) = 6*d - 3. Determine -s(y) + 5*u(y). -y - 2 Let x be (-1 - 1)/(4/(-22)). Let q(r) be the first derivative of r**4/2 + 7*r**3/3 - 3*r + 3128. Let v(b) = 4*b**3 + 13*b**2 - 5. Give x*q(s) - 6*v(s). -2*s**3 - s**2 - 3 Let o(l) = 23*l**2 + 40*l + 7. Let w(y) = -15*y**2 - 27*y - 5. Calculate 5*o(k) + 7*w(k). 10*k**2 + 11*k Let h(x) = -2*x**3 - 4*x**2 + x. Let y(d) = d**3 + d**2. Suppose 2 = 21*m - 19*m. What is m*h(f) + 3*y(f)? f**3 - f**2 + f Let x(r) = 5*r**2. Let j(z) = -3*z + z**2 + 5*z - 2*z. Let m(t) = 12*t**2 - t. Suppose 6 - 9 = -3*u. Let n be m(u). Give n*j(w) - 2*x(w). w**2 Let j(d) = -d. Let v(m) = 35*m - 9. Give -6*j(f) + v(f). 41*f - 9 Let r = 205 - 206. Let l(o) = -o**3. Let g(s) = s**3 + s**2 + 4*s. Determine r*g(a) + l(a). -2*a**3 - a**2 - 4*a Let n(p) = -p + 1. Let v be -1 - (3 + -3)*(2 + -3). Let x(m) = -3*m + 6. What is v*x(t) + 2*n(t)? t - 4 Let t(h) = 19*h**2 + 8*h + 21. Let p(z) = -13*z**2 - 5*z - 14. Calculate -8*p(g) - 5*t(g). 9*g**2 + 7 Let k be -2 - 32/(-12)*30/4. Let z(v) = v**3 - v**2. Let i(u) = -4*u**3 + 4*u**2. Let o be (-184)/(-6) - 8/12. Suppose 10 = -5*x + o. Give k*z(a) + x*i(a). 2*a**3 - 2*a**2 Let y(h) = -31*h - 11. Let q(g) = 152*g + 54. Determine -3*q(b) - 14*y(b). -22*b - 8 Let n(o) = o**3 - 5. Suppose 0*w - 4*w + 16 = 0. Suppose -w*j + 4 = 2*z - 3*z, 0 = -3*j - 5*z - 20. Let f(q) = 74 + q**3 + j*q**3 - 80. What is 5*f(s) - 6*n(s)? -s**3 Let l = 20 - 7. Let x(w) = -7*w**2 - 6*w + 9. Let n(q) = -15*q**2 - 13*q + 19. Let g(c) = l*x(c) - 6*n(c). Let b(j) = -2*j**2 + 8. Give 3*b(f) - 8*g(f). 2*f**2 Let b(z) = 11*z**3 - 4*z**2 - 5*z - 7. Let d = 531 - 526. Let l(f) = 17*f**3 - 6*f**2 - 8*f - 11. Give d*l(n) - 8*b(n). -3*n**3 + 2*n**2 + 1 Let g(j) = -j**3 - 16*j**2 + 19*j + 40. Let y be g(-17). Let o(f) = -13*f + 6. Let t(b) = -26*b + 13. Determine y*t(v) - 13*o(v). 13*v Let d(w) = 2*w**2 + w - 2. Let f(b) = 6*b**2 + 3*b - 5. Suppose k + 3*m = 0, -k + 6*k + 2*m = 13. Calculate k*f(s) - 8*d(s). 2*s**2 + s + 1 Suppose g = 3*g + 110. Let c = g + 97. Let h = -59 + c. Let y(d) = -8*d**2 - 3*d + 17. Let o(s) = -3*s**2 - s + 6. Determine h*o(k) + 6*y(k). 3*k**2 - k Let q(k) = -3*k**2 + 4*k - 1. Let j(y) = -5*y**2 + 7*y - 2. Let f(o) = -4*j(o) + 7*q(o). Let n(w) = 3*w**2 - 2*w - 4. Give 2*f(r) + n(r). r**2 - 2*r - 2 Let j(v) = -7*v**2 + 12*v + 14. Let d(t) = t**2 - 3. What is 5*d(q) + j(q)? -2*q**2 + 12*q - 1 Let a(f) = 15*f**3 + 5*f**2 - 7*f - 2. Let p(u) = 23*u**3 + 8*u**2 - 11*u - 3. Let y be (0 - 10)/(-10 - (-13 - -5)). Determine y*p(v) - 8*a(v). -5*v**3 + v + 1 Suppose 8*d + 14 + 10 = 0. Let a(m) = -240*m - 155. Let z(t) = 34*t + 22. Let s(y) = d*a(y) - 20*z(y). Let p(b) = -5*b - 3. Give -25*p(u) - 3*s(u). 5*u Let z(t) = -13*t**2 + 8*t + 125. Let o(c) = 28*c**2 - 17*c - 250. What is -6*o(p) - 13*z(p)? p**2 - 2*p - 125 Let p(h) = 26*h**3 - 16*h**2 + 11*h - 1. Let b(l) = 5*l**3 - 3*l**2 + 2*l. Suppose 165*y - 44 = 169*y. Give y*b(j) + 2*p(j). -3*j**3 + j**2 - 2 Let s(o) = 67*o + 15. Let k(f) = 202*f + 41. Give -4*k(n) + 11*s(n). -71*n + 1 Let h(n) = 5*n - 3. Let t(d) be the second derivative of 2*d**3/3 - d**2 - 2*d - 57. Determine 3*h(g) - 4*t(g). -g - 1 Let i(m) = -2*m**3 - m**2 + m + 1. Let d = 1 - -4. Let k(l) = 748 - 749 - l**3 - 4*l**2 + d*l**2. Give -i(c) - k(c). 3*c**3 - c Let z(w) = -4*w**2 - 2*w + 3. Let j(h) = 1. Give -6*j(g) + 2*z(g). -8*g**2 - 4*g Let u(a) = -1. Suppose f + 5*c = -15, -9*f + 5*
{ "pile_set_name": "DM Mathematics" }
at is the common denominator of -67/458 and 1 - (-20 + (-28)/7)? 458 Suppose -s = -2*n + 35 - 255, -2*s + 447 = 3*n. What is the least common multiple of 14 and s? 1554 Suppose o + 5*g = -0*g + 22, 5*o = -2*g + 18. Suppose 0 = -0*i - i + o. Find the common denominator of 31/10 and i/(-9) + 3028/(-144). 20 Calculate the common denominator of 19/35 and (-220)/(-50)*6/4. 35 Suppose 19*k = 18*k + 42. Calculate the lowest common multiple of k and 14. 42 Let l(y) = -256*y**2 - 6. Let c be l(-4). Let v = c + 57539/14. What is the common denominator of v and -25/7? 14 What is the lowest common multiple of 75/4 + 69/(-92) and 118? 1062 What is the common denominator of -65/34 and 1/9*-1 - 4760/306? 102 Find the common denominator of -1*(-5)/(-5)*35/22 and -79/76. 836 Suppose -23*j + 1302 = 198. What is the common denominator of 9/14 and j? 14 Find the common denominator of 49/80 and (-1)/28 + 22/(-77). 560 Let o be 5/(-2)*28/(-5). Let p = 19 + o. Calculate the least common multiple of 10 and ((-18)/(-10))/(p/220). 60 Let o be (9/(-2))/(6/(-36)). Suppose o = 4*h - 9. Calculate the smallest common multiple of h and 2. 18 Let u(t) = -t - 7. Let s be u(-10). Suppose 2*b + 2*m - 210 = -3*b, -25 = -b + s*m. What is the least common multiple of 32 and b? 160 Let x(g) = -2*g**2 + 15*g - 10. Let a be x(6). Suppose 5*o - 22 = a. Calculate the smallest common multiple of 17 and o. 102 Let h(p) = -4*p - 7. Let d be h(-2). Calculate the least common multiple of d + (-4)/(-5) + 17/85 and 5. 10 What is the common denominator of 11/2 + (-7)/((-392)/16) and -51/2? 14 Let f be (56/4*-1)/(-2). What is the lowest common multiple of 2 and 36*(7/3)/f? 12 Let r = 5939/1432 - 4/179. What is the common denominator of (-111)/3*3/30 and r? 40 Suppose -2*c - 4 + 12 = 0. What is the common denominator of (0 - 40/(-9)) + (-15)/90 and (-1)/c - (-251)/(-12)? 18 Calculate the common denominator of -145/12 and -14 + 8 + (-17)/(-18). 36 What is the common denominator of (-192)/(-80)*((-9)/7 + 2) and (66/(-10) - -1)/((-10)/25)? 7 Let u be (3/423)/(2/18159194). Let x = 64394 - u. Let a = 4993/5358 - x. Calculate the common denominator of 109/6 and a. 114 Let i = 66 - 51. Suppose -m = u - i, 0*u + m + 5 = u. Calculate the lowest common multiple of u and 10. 10 Let b(c) = 13*c**2 + 2*c - 1. Let d = -31 + 32. What is the smallest common multiple of b(d) and 27/6*2/3? 42 Let t = -100 - -256. What is the least common multiple of t and 4? 156 Let c be (-3)/(-2)*14/1. Let k = c + -12. Suppose -4*m + 12 = 4*j, -2*m = j + 2*j - 7. What is the least common multiple of k and j? 9 Suppose -7*m - 40 = -11*m. Find the common denominator of (21/m - 2)*-21 and ((-5)/3)/(8/(-33)). 40 Suppose -5*s = -7*s + 12. Let n(o) = o**2 - 7*o + 12. What is the lowest common multiple of n(s) and 2? 6 Let a = 784321/1182930 - 60/5633. What is the common denominator of 121/60 and a? 420 Let i(a) = -5*a**2 - 69*a + 16. Calculate the least common multiple of 14 and i(-14). 14 Suppose -5*y + 1800 = 10*y. What is the least common multiple of 30 and y? 120 Suppose 12*i + 5 = 11*i. Calculate the smallest common multiple of 233*i/(-35) + (-2)/7 and 3. 33 Let l = 7713 - 424229/55. Find the common denominator of l and -40/11. 55 Suppose 10*p = 1378 + 422. What is the smallest common multiple of 14 and p? 1260 Let v(o) be the third derivative of -7*o**4/6 - 3*o**2. Let b be v(-1). Suppose -b = 5*c - 118. Calculate the least common multiple of c and 28. 252 Find the common denominator of -83/162 and (-12 - (-495)/44)/((-18)/(-76)). 162 Calculate the common denominator of (-1 - 8) + 8442/900 and 89/60. 300 Let p = 73 + -174. What is the common denominator of 18/5 and 2 + (p/(-10) - 3)? 10 Let a = 497899/6 - 83180. Let u = a - -9487/48. Find the common denominator of 3/6 - (-87)/(-4) and u. 16 Suppose 0 = 5*l - 5*i - 885, 4*l + 2*i - 315 = 387. Suppose c - 9*c + l = 0. Let h(o) = o + 9. Calculate the least common multiple of c and h(-6). 66 Suppose 5*w - w - 16 = 0. Suppose -2*m - k - 4 = 2, k + 10 = -4*m. What is the lowest common multiple of (m/5)/(w/(-80)) and 3? 24 Let m = -88/263 + 25873/8942. Let q = 1746 + -15785/9. What is the common denominator of m and q? 306 Let t(j) be the third derivative of -j**4/8 - j**3/3 - 3*j**2. Let b be t(-2). Suppose 22 = -b*s + 86. What is the lowest common multiple of 2 and s? 16 Let c = -2260 - -2284. What is the least common multiple of c and 33 - 2 - (-1)/1? 96 Let b = -13 + 21. Suppose -5*o + b = -o. What is the common denominator of 119/12 and 314/40 + (0 - o)? 60 Suppose -3*j + 54 = -0*j. Let l(z) = 13*z**2 + 1. Let g(u) = 2*u + 27. Let x be g(-14). What is the least common multiple of l(x) and j? 126 Let a = 71150357729 + -117398095202603/1650. Let s = a + -362/275. Let q = -2993 - s. What is the common denominator of q and -74/3? 6 Suppose 4*b - 4 + 12 = 0. Let y be 135/10 - (-3)/b. Suppose y = -5*f + 52. What is the lowest common multiple of 5 and f? 40 Let y = 30 + -32. Calculate the lowest common multiple of y + 25/2 + (-7)/(-14) and 1. 11 Suppose 5*r = 5*j + 150, -2*r = -j - 86 + 28. What is the lowest common multiple of 36 and r? 252 Suppose -5*y + 5*m - 4*m = 18560, 5*m + 18590 = -5*y. Let a = -37051/10 - y. Find the common denominator of a and -4 + 2 + 21/98. 70 Let y be 8/36 + 1407428/288 + -2. Let f = -4897 + y. Find the common denominator of -87/22 and f. 88 Let p = -2498 - -2514. Calculate the smallest common multiple of 6 and p. 48 Let o be 30/(-42) + (-2)/7. Let s(j) = -2*j**2 + 14*j - 20. What is the smallest common multiple of s(3) and (-1)/(o/2) + 16? 36 Suppose 113*s - 1974 - 3676 = 0. What is the least common multiple of 305 and s? 3050 Suppose a - 9451 = 5*x, x - a + 1891 = -0*a. Find the common denominator of 73/14 and 5595/x + (-3)/7. 126 Let l = -17 - -21. Let m(u) = 8*u - u**3 + 6 + 5*u**2 + 5*u**3 - 3*u**3 + l*u**2. What is the lowest common multiple of m(-8) and 16? 48 Let r be (5 + -4)*-1*(1 - -13). What is the smallest common multiple of 22 and 48/28 - (-2)/r*-2? 22 Let k be 4/(-5)*12940/(-8). Let h = 1/9382 + -379981/93820. What is the common denominator of k/208 - 38/(-247) and h? 40 What is the common denominator of (-1070)/(-132)*246/820 and 6/9 - 151/(-12)? 44 Calculate the common denominator of (-661)/(-180) + (-4)/18 and (-4 - -1)*(-238)/(-252). 60 Suppose 0*y - 3*y = -3. Suppose 0 = 2*j - g - 42, 3*g + 34 = 2*j - 4. What is the smallest common multiple of j and y/2 - 44/(-8)? 66 Let q = 10199/1110 + -4/185. Find the common denominator of (-20 - -35)/(45/(-35)) and q. 6 Let u(l) = -2*l - 6. Let v be u(-5). Suppose 6*a + 7 - 7 = 0. Suppose a*x = -v*x + 4. What is the lowest common multiple of x and 3? 3 Let t = 326 + -324. Suppose -x + 2*u = -12, 2*x - 4*x = -2*u - 22. Suppose x + 12 = i. Calculate the least common multiple of t and i. 22 Let w = 5949 - 588902/99. Find the common denominator of 52/9 and w. 99 Let y = -8 - -12. Let j be (1/(-77))/(y/(-1948)). Let k = j + -90/11. What is the common denominator of k and 31/8? 56 Suppose 5*x = 4*c + 1 + 13, x - 2*c + 2 = 0. Calculate the smallest common multiple of 96 and x. 96 Suppose 13*h = 146 + 49. Calculate the lowest common multiple of 87 and h. 435 Suppose z - 18 = -0*z. Let j be ((-9)/12)/(3/84). Calculate the lowest common multiple of (-77)/j - (-1)/3 and z. 36 Let h = 66 - 58. Calculate the common denominator of (1476/162)/(h/(-3)) and 89/18. 36 Let w = 34 - 84. Let k = w + 52. Calculate the smallest common multiple of k and 17. 34 Let d be -1*4/(-8)*2. Let k = 17 - d. Calculate the common denominator of -51/40 and (-4)/k - (-708)/(-16). 40 Suppose 0 = -3*c + 2*c - l + 115, -4*c + 5*l = -424. What is the smallest common multiple of c and 7? 777 Suppose -3 = 3*v + 2*b - 5, 0 = b - 1. Suppose o + 0*o + 11 = v. Let n = 3 - o. What is the least common multiple of 20 and n? 140 Let j be (36/54702)/((-10)/(-3)). Let n = 238041/70910 + j. What is the common denominator of n and 5/4? 28 Let r(l) = l**3 - 8*l**2 + 26*l + 20. Calculate the lowest common multiple of 22 and r(6). 1144 Suppose -15*z = -17*z - 104. Let b = z - -54. Let i = 87 + -61. Calculate the lowest common multiple of i and b. 26 Suppose 2*z - 30 = 2*w, 2*z = 5*z - 2*w - 40. Calculate the lowest common multiple of 5 and z. 10 Let a be
{ "pile_set_name": "DM Mathematics" }
235. Let u = 138 - q. Solve -10 + u = k for k. -3 Let r be (399/14 + -6)*(-72)/(-60). Solve 78 = -r*u + 14*u for u. -6 Let c(f) = 12*f + 4. Suppose 3*a + a = 52. Let r be a/(-26) + 6/4. Let v be c(r). Solve 0*g = -4*g - v for g. -4 Let m(j) = -j**3 + 17*j**2 + 4*j - 24. Let x be m(17). Suppose -9*b - 2*b + x = 0. Solve 2*p + 6 = b*p for p. 3 Let b be (-72)/(-9) - -3 - 8. Suppose -m + 4 = 0, 3*w + b*m - 16 = 2. Solve -21 = w*l - 9*l for l. 3 Let a = 201 - 176. Suppose 22*i - a*i + 12 = 0. Solve -5*s + 14 = i for s. 2 Let i be (5 - -1) + 147 + -6. Let o = i - 118. Solve o*x = 25*x for x. 0 Suppose -t + i = 2, 5*t - 894*i - 18 = -896*i. Let z = 2 - 1. Let y = z - -1. Solve 4 + y = -t*c for c. -3 Let b(f) = -f**3 - 2*f**2 - f - 23. Let p be b(-4). Let m(q) = -q + 24. Let l be m(p). Solve -l*n + 2*n + 27 = 0 for n. 3 Let p(q) = 14*q - 89. Let a be p(6). Let j be -130*(-1)/(-25)*a. Solve j*c + 12 = 23*c for c. -4 Let n(j) be the third derivative of j**5/30 - j**4/8 - 7*j**3/2 + 4*j**2 - 17*j. Let g be n(-3). Solve -g = -5*r - r for r. 1 Suppose -274 = 46*m - 826. Solve -6*o = m*o + 90 for o. -5 Let r(t) be the second derivative of -t**4/3 - 13*t**3/6 + 3*t**2/2 - 33*t. Let j be r(-3). Let s be 2 - (0 + -2 + j)/2. Solve s = -l + 2 - 7 for l. -5 Let m(u) = 19*u - 1617. Let c be m(86). Solve c*p = 184 - 269 for p. -5 Let r(v) = v**2 + 4*v - 140. Let c be r(10). Suppose -4*t = -8, 3*t + c*t - 14 = -2*l. Solve -8*d = -20 - l for d. 3 Let l(s) = -36*s + 83. Suppose -15*k - 3*u - 1 = -11*k, 0 = -2*k + 2*u + 10. Let z be l(k). Solve -4*p + z*p = 14 for p. 2 Let s be (3 - (5 + 5/(-1)))*12. Let n be 0/(-2)*s/(-108). Solve n = -0*v - 5*v - 5 for v. -1 Let n be ((94 - 4) + -5)/1. Suppose 2*f = -15*f + n. Suppose -5 + 20 = f*p. Solve 4*s - 5 = p*s for s. 5 Let x(s) = 19*s**2 - 7*s - 2. Let c be x(5). Let q be (-5)/20 - c/8. Let a = -51 - q. Solve a*p - 8 = 6*p for p. -4 Let p be -2 + 7/((-21)/(-15)). Suppose -12 = -3*d + g, 5*g + 9 = -3*d + 21. Solve 0 = p*h - 5*h - d for h. -2 Suppose -14*i + 14*i + 17*i = 0. Let m be (18/(-135))/(1/(-40))*3. Solve 51*f - 55*f + m = i for f. 4 Let y be (-2)/3 - 2912/(-273). Solve 787 = y*x + 727 for x. 6 Suppose -237*t = -262*t. Solve t*c - 92 = -23*c for c. 4 Let d(v) = 5*v + 5. Let i be d(-11). Let j = i + 51. Suppose 2*u + 3*h - 3 = 0, 4*h - 5 + j = -3*u. Solve u*t = -4*t - 8 for t. -2 Let y(h) = 38*h + 935. Let m be y(-19). Solve -m*r = -185*r + 252 for r. -9 Let d(w) = w**2 - 10*w + 10. Let i be d(11). Let t = -21 + i. Let y be -14*(2 - 3) - 12. Solve g = -t*g - y for g. -2 Suppose 5*t + 3*t = -512. Let r = 64 + t. Let a be 8/(-5)*(r - 10). Solve -4*g + 0*g = -a for g. 4 Let w be (7 - 116/(-16))*(-104)/(-39). Solve -w*j = -44*j + 24 for j. 4 Let l be ((-816)/(-187))/24 + (-207)/(-11). Solve l*n = 27*n - 40 for n. 5 Suppose 52 = 9*b - 11*b. Let p be (b/36 - (-8)/36)*-2. Let u be (1/(4 + -5))/(p/(-5)). Solve -u = i - 4 for i. -1 Suppose -13*y + 15*y - 96 = -30*y. Solve y*a + 114 = 126 for a. 4 Let u = 5952 - 5938. Solve u*y + 84 = -7*y for y. -4 Let q(n) = n + 4. Let o be q(-2). Suppose 0 = -o*c - 21*c + 46. Solve h = c*h + 4 for h. -4 Suppose 4*y - 28*u = -23*u + 209, 5*u = 5*y - 255. Solve y*s - 352 = 90*s for s. -8 Let z = -2620 + 1840. Let t be (3/2)/((-117)/z). Solve 5*q + 10 + t = 0 for q. -4 Let t be (3304/140 - 16)/((-1)/(-5)). Solve -15 = 43*a - t*a for a. -3 Suppose -k - 9 = -2*a - 0*k, 0 = 3*a - 4*k - 11. Suppose -4*u + 45 = -5*y + 2, 65 = 5*u + a*y. Solve -13*g = -u*g + 2 for g. -2 Let k(d) = -d**2 + 11*d - 26. Let y = -242 - -249. Let g be k(y). Solve -7 = g*v - 5 for v. -1 Let j = 335 - 359. Let m be j*(2/(-6))/1. Solve 4*h + m = 6*h for h. 4 Let m = -25887 - -25887. Solve -3408*j + 3416*j - 40 = m for j. 5 Let p = -816 - -840. Solve 0 = -11*n + 20 + p for n. 4 Let q(w) = -w + 50. Let z be q(35). Suppose 0 = z*i - 20*i + 15. Solve -f - 2 - i = 0 for f. -5 Let j be 2/(-9) + 3310/(-90). Let u = 42 + j. Suppose 0*n + 4*n + 20 = -5*h, n = 4*h - u. Solve h*d + 2*d - 4 = 0 for d. 2 Suppose 0 = -2*f + 9*a - 11*a + 76, -3*f + 5*a = -130. Solve 2 = 14*x - f for x. 3 Let u = -68 - -72. Let v be (-3 - -3)/(4/(-1 + 5)). Let o(m) = m + 33. Let r be o(-13). Solve -p - u*p + r = v for p. 4 Let u = 138 - 8. Suppose -3*j + u = -5*w, -5*w = -4*j + 229 - 54. Let m be (-2)/((-2)/j*3). Solve i + 2*i = m for i. 5 Let z = -37 + 37. Let l be -1*(1 - z) - (-12)/(-4). Let t = l - -6. Solve 4*c + 2 = t*c for c. -1 Let j(d) = -d + 4. Let l be j(2). Let b(o) = -40*o + 8642. Let p be b(216). Solve p*t = 3*t - l*t for t. 0 Suppose 0 = -3*y + 5*j + 1171, 4*y - 2*j = -6*j + 1508. Solve y - 470 = -11*q for q. 8 Suppose 3*r + 15 + 24 = 3*o, 3*o + 3*r - 51 = 0. Solve 0 = 303*p - 300*p - o for p. 5 Let i = 4038 - 4034. Solve 36*a = -i*a + 120 for a. 3 Let w be (-6)/4*(-376)/6. Let r be (1470/(-10) - -9)/((-6)/(-4)). Let s = r + w. Solve -4 = s*n - 0 for n. -2 Let n = 107 + -78. Let s be (21 - 15) + n*2. Solve -x - 67 + s = 0 for x. -3 Suppose 3*b + 139 = 4*d, -d + 0*b + 49 = 4*b. Let h be -2 + 2 + -31 + (-4 - -1). Let j = h + d. Solve j*y = 4*y - 2 for y. 2 Suppose 0 = 5*u + r - 10, -4*u + 5*u + 19 = 4*r. Let n be 2/((14 + 900/(-54))/(1*-4)). Solve -n*z + 2*z - u = 0 for z. -1 Suppose 0 = 13*z + 50 - 193. Let j be ((-4)/12)/(1/(-3)). Solve -j + z = 2*i for i. 5 Let b be ((-1)/(2/(-4)))/(40/3220). Suppose 148*v = b*v. Let f = 1 + 3. Solve -4 = f*m - v for m. -1 Suppose 0 = 2*i + 3*d - 23, -1051*d + 32 = 5*i - 1052*d. Solve i*c = -4*c - 22 for c. -2 Let r = -74 - -79. Suppose -3*b = -k - 2, 5*b = -r*k - 5 + 15. Solve -2*w = k + 5 for w. -3 Let f be (-5)/(324/(-318) + 1). Let g = f + -257. Solve g = -2*m + 6*m for m. 2 Let u be 4/26 + (-280)/364*-18 - 7. Suppose 12 = 2*j - 3*l, l - 2*l = -3*j + 11. Suppose -5*g = -2*g - j. Solve 0 = -3*a + u - g for a. 2 Suppose -135*j = -149*j + 714. Solve -6*p = -j + 81 for p. -5 Let q = -8 - -8. Suppose q = -9*u - 5*u + 14. Let l be (-23)/4 - -6 - (-11)/4. Solve u + 8 = l*b for b. 3 Suppose 16*j = 17*j. Let c be j/(6 + 20/(-5)). Suppose -13*x = 2*x - 30. Solve -2*n - x + 0 = c for n. -1 Suppose 12*d = 9*d + 9. Let a be (6 - 9) + d - -1*5. Solve -a*r + 25 = -10*r for r. -5 Let c be 492/12 - (1 - (-10)/(-2)). Let x be c/99 + (-12)/(-22). Solve -2*r + x = 3 for r. -1 Suppose 0 = h - 3*h + 6. Suppose h*u + 5*x = 6*u + 26, -56 = 5*u - 2*x. Let a be 2*(-3)/u + (-9)/(-6). Solve a*w + 4 = -4 for w. -4 Let d be 27/(-12)*16/(-6). Let a = 1902 - 1890. Solve a = -d*p - 6 for p. -3 Suppose 0 = -24*x + 28*x + 2*r + 6, -3*x - 15 = 5*r. Solve 0 = -9*b - x + 9 for b. 1 Let g(k) = -k**3 + 3*k**2 + 9*k - 6. Let d be g(5). Let o(z) = -3*z - 28. Let q be o(d). Suppose -2*f + f + 21 = 0. Solve 4*r = -f + q for r. -4 Suppose -12*k = 5*k + 6*k - 3749. Solve -k*f = -167*f + 16 for f. 4 Let q be 5*((12 - 20) + 0 + (-219)/(-15)). Solve -q*s = -31*s + 2 for s. -1 Let b be ((-1026)/(-1368))/((-2)/(-32)). Solve b*u + 16*u = -84 for u. -3 Let p be (-2)/8 - 58*(-10)/16. Solve 6*h = -p + 72 for h. 6 Let k be (-104)/24 - 481/(-39). Solve k*j - 20 = 28 for j. 6 Suppose 0 = -3*x - x + 16. Let g be (40/(-5))/x + 6. Let m(q) = 3*q - 9. Let b be m(g). Solve b = -o - 0 for o. -3 Suppose 5*y + 2*o = y + 122, -157 = -4*y + 3*o. Solve 28*g + 42 = y*g for g. 7 Suppose 2*r + 2*n = 22, 110 = 5*r - n + 31. Suppose 8*o + r = 39. Let m(a) = -a + 3. Let y be m(o). Solve t + 2 + 0 = y for t. -2 Suppose -2*y - 68*y - 72*y + 710 = 0. Solve -16 = -y*a + a for a. 4 Let d(x) = x**3 + 5*x**2 + 5*x - 3. Suppose -3 = -h + 7. Suppose -5*j - f - 4 = h, 4*f = 5*j + 19. Let w be d(j). Solve -r - 2 + 5 = w for r. 3 Suppose 3*m + g = -g + 16, m = g + 7. Let n(p) = -p**2 - 6*p + 3. Let b be n(-6). Suppose b + m = 3*y. Solve -y*q = -12 + 3 for q. 3 Let z be (4 + -2)/(-2) - (405 - 7). Let s = z - -399. Solve 13*o - 16*o + 9 = s for o. 3 Let n(v) be the second derivative of v**4/12 + 5*v**3/6 - v**2 + 2*v. Let i be n(-6). Suppose -45 = 23766*j - 23775*j. Solve j*z = i*z for z. 0 Let q(m) be the first derivative of -m**3/3 - 6*m**2 - 27*m - 41. Let g be q(-8). Solve -4 = g*f + 21 for f. -5 Let m be (-26566)/(-592) + 6/16 + (-2)/8. Solve -46*z + m*z - 4 = 0 for z. -4 Let c = -3622 + 3758. Solve 56 = -c*f + 122*f for f. -4 Suppose 0 = -5*g - 25, 0 = n - 4*g - 8 - 20. Solve 17*r
{ "pile_set_name": "DM Mathematics" }
iple of 2 and c(-8). 16 What is the lowest common multiple of 22 and (60/9)/((-2)/(-6))? 220 Let r = -25/51 + -299/153. Suppose 4*f - 76 = o, 2*f - 2*o = -3*f + 92. What is the common denominator of r and 7 + -4 - (-28)/f? 45 Let v(y) = -3*y**2 + 2*y**2 + 3*y + 4 + 0*y. Let u be v(4). Suppose 2*r = -2, -3*n + u*n + 25 = -r. What is the least common multiple of n and 2? 8 Let u = -15 - -11. Find the common denominator of (71/u)/(5/(-2)) and 101/12. 60 Find the common denominator of 5/(-20)*2 - (-303)/54 and 4/11. 99 Let g = -8 + 22. Calculate the common denominator of -87/4 and ((-6)/20)/(1/g). 20 Suppose 0 = 2*d + 5*g + 26, d + 4*g + 7 = 4*d. Let k be (0 - (1 + d)) + 1. Let b = k + -1. Calculate the least common multiple of b and 10. 10 Let y(h) = -h**2 + 11*h - 15. Let n be -3 - (-4 - -2) - -10. Suppose a + 3*a + 13 = 3*j, 5*a = j - 8. Calculate the lowest common multiple of j and y(n). 3 Let w = -12/59 + -837/236. Find the common denominator of 23/8 and w. 8 Suppose 0*m - 5*m = -285. What is the smallest common multiple of m and 3? 57 Suppose 5*q + 0*q - 40 = 0. Suppose 0*f = -4*f - 24. Calculate the common denominator of -13/5 and (86/f)/(q/12). 10 Suppose 0*k = 3*k - 9. Find the common denominator of 39/5 and k - (2 + 16/(-6)). 15 Suppose -10 = 4*m + 5*n + 74, -3*m - 4*n = 63. Find the common denominator of m/(-5)*1/3 and -89/8. 40 Let z(d) = d**2 - d. Let a be z(2). Suppose -a*h + 8 = -0*h. What is the least common multiple of h and 3? 12 Suppose 6 = 5*a - 49. Suppose 3*s + 38 - a = 0. What is the smallest common multiple of (24/s)/((-2)/6) and 2? 8 Let h be (1/(-5))/((-14)/(-791155)). Let w be 0 - (-1*11295 + -2). Let d = w + h. Find the common denominator of d and -3/16. 112 Find the common denominator of 23/8 and 89/(-1 + (6 - 3)). 8 Find the common denominator of 51*3/24 + 1 and (-5)/3*54/(-16). 8 Calculate the common denominator of (236/10)/((-36)/(-30)) and -83/21. 21 Let c(u) = 5*u**2 - 3*u - 6. What is the smallest common multiple of 12 and c(-2)? 60 Suppose -2 = 3*f - 2*f. Let l be ((0 - f)/(-2))/(-431). Let a = l + -22415/1293. Calculate the common denominator of a and 23/7. 21 Let v = -18795/2 + 10000. Suppose 4*c = -3*f - 1803 - 107, -4*f - 2*c - 2550 = 0. Let l = f + v. Find the common denominator of -53/14 and l. 14 Let t = 1279/12 + -338/3. Find the common denominator of -1/4 and t. 12 Suppose -2*f = 3*f - 25. What is the common denominator of -19/2 and f/15 - 831/36? 4 Let o = 34 - -8. Calculate the least common multiple of o and 21. 42 Let a = 56/101 + 3223/2020. What is the common denominator of -115/28 and a? 140 Calculate the common denominator of -2 + ((-1428)/64)/(-7) and (7/(-3))/((-24)/68). 144 Suppose -128 = a - 32. What is the common denominator of 1438/120 - 4/10 and -3 + 4/(a/76)? 12 Suppose 0*a = 3*a - 30. Let c be 9 + (-5 + 0 - -3). Suppose 0 - c = -y. What is the least common multiple of a and y? 70 Find the common denominator of 59/9 and 74/(-27)*(-2)/(-4). 27 Let a = -43/3 + 38. Find the common denominator of a and -11/30. 30 Let p(q) be the second derivative of -q**5/20 - 5*q**4/6 - 11*q**3/6 - q**2 + 4*q. Let f = -1 + 3. What is the lowest common multiple of f and p(-9)? 16 Let u = -5 + 21. What is the least common multiple of (0 - 14/3)/(10/(-30)) and u? 112 Let z = -247463/18 + 13744. Calculate the common denominator of z and -125/18. 18 Let s = 839/154 + -100/11. Let i be 85195/(-24) - 2/(-3). Let r = -3558 - i. Find the common denominator of r and s. 56 Let b be (-8)/4 - 2/(-1). Suppose -5*x - 1 + 11 = b. What is the common denominator of x + 37*3/(-6) and 101/6? 6 What is the common denominator of -42 and (-2 - 16/(-7))/(8/(-236))? 7 Let k = -22 - -37. Let x = 22 - k. Calculate the smallest common multiple of 2 and x. 14 Suppose 6*d - 3*d = -25380. Let j = d + 118501/14. Find the common denominator of j and -5/4. 28 Suppose -f + 2 = -0. Let o(l) = -7*l - 48. Calculate the smallest common multiple of f and o(-7). 2 Let b be 4 + (-2 - 3/(-1)). Suppose -3*w + 10 + b = 0. Calculate the lowest common multiple of w and 5. 5 Let a(z) be the second derivative of z**3/6 + 3*z**2 - 3*z. What is the least common multiple of 8 and a(5)? 88 Let f be (862/(-274))/((-1224)/(-2248)). Let w be -1 + -2 + 41920/13974. Let v = f - w. Find the common denominator of 16/11 and v. 99 Let v(j) = -50*j + 12. Let h be v(11). Calculate the common denominator of 17/18 and 7/(-28) + h/(-24). 18 Find the common denominator of 11/(-66) + (-290)/6 and 63/34. 34 Let k = 44495/18 + -2477. Let z = -1085135/99784 - 2/12473. Find the common denominator of z and k. 72 Let t = -3/1466 - -45479/16126. Calculate the common denominator of -1/4 and t. 44 Suppose 0 = 2*t - 3*t + 3. Let j = 4 - 1. Suppose 4*c + 35 = 2*u + t*u, 14 = 2*u + j*c. Calculate the lowest common multiple of u and 5. 35 Suppose 3*b + 13 = b + 5*o, 4*b - o = 1. What is the smallest common multiple of b*(-4 + 2) - -22 and 14? 140 Let l be ((-4)/7)/((-18)/63). Suppose 2*d = 6*d - 16, l*i = 2*d - 4. What is the lowest common multiple of i and 44? 44 Suppose -4 = q + 4*h - 5, 5 = 5*q + 4*h. Let z(x) = -10*x**3 - 1. Calculate the smallest common multiple of z(-1) and q. 9 Suppose -4 = -2*u, 2*u + 64 = 5*p - u. What is the least common multiple of 80 and p? 560 Let v = -53347527/91 - -586248. Let l = v - 80/13. Calculate the common denominator of l and -47/5. 35 Let a = 1899/1352 - 5/169. What is the common denominator of 5210/1120 + 4/14 and a? 16 Let x = 6367/510 - -4/255. Find the common denominator of x and 13/6. 6 Find the common denominator of 1162/288 - (-12)/(-54) and 85/8. 16 Suppose 0 = 2*q - 3*w - 7, -5 + 19 = 2*q + 4*w. What is the lowest common multiple of 5/3*12/2 and q? 10 Let g = -59 - -68. What is the lowest common multiple of g and 9? 9 Let g(h) = h - 3. Let z be g(7). Suppose -5*u + z*u + 20 = 0. Calculate the smallest common multiple of 10 and u. 20 Suppose -f - 3*b = b - 24, f - 4*b + 8 = 0. What is the lowest common multiple of f and 6? 24 Let k = 61 + -56. Calculate the lowest common multiple of 4 and k. 20 Suppose -4*b - 23 + 7 = 0. Calculate the common denominator of (-2)/6 - (-74)/b and ((-2)/(-8) + 1)*790/25. 6 Calculate the smallest common multiple of 11 and (-1146)/(-57) - (-2)/(-19). 220 Let t = 3/4028 + -191339/12084. Let y be (-12 - -9) + (-1 - -1356). Let w = 5507/4 - y. What is the common denominator of w and t? 12 Suppose -4*p + 8 = -0*p. Find the common denominator of (-224)/12*1/p and 65/4. 12 Let s be (-5388)/(-7) - (-2)/7. What is the common denominator of 69/(-4) - (-1)/1 and (-3)/(-15)*s/24? 12 Suppose 4*h + 5*i + 20 = -h, -4*i = 3*h + 15. Let d = h - -2. Calculate the lowest common multiple of d and (-1)/((-2)/(-1))*-12. 6 Let f(g) = g**2 - 2. Calculate the smallest common multiple of 14 and f(4). 14 Suppose -4*y - 94 - 38 = 0. Let q = -19 - y. Calculate the lowest common multiple of (-5 + 3)*-1 - -4 and q. 42 Let w be -1*(3 - (2 + 1)). Let d(s) = s**2 + 1. Let q be d(-1). Suppose -t + 1 = -2*v + 9, -3*v - q*t + 5 = w. Calculate the lowest common multiple of 7 and v. 21 Let c(a) = a + 10. Let z be c(-7). Suppose 0 = 3*w + 3*m - 15, 0 = w - 6*w - z*m + 15. Suppose w*s + 36 = 3*s. What is the lowest common multiple of s and 1? 12 Let i(q) = 4*q. Let h(o) = 7*o. Let a(c) = 3*h(c) - 5*i(c). Let d = 11 + -7. Calculate the smallest common multiple of a(2) and d. 4 Suppose m + x = 1, 3*m + 3*x + x = 0. Let p = 33 + -18. Suppose 2*h - m*d - p = 3*h, -2*d = 2*h. What is the least common multiple of h and 7? 35 Let h = 19 - 17. Let u(r) = -7*r**3 + 1. What is the least common multiple of u(-1) and h? 8 Let l = -3329/186 - 91/31. What is the common denominator of -25/12 and l? 12 Let v = -1055924/11 + 95920. Let m = -10915837/22 + 496291. Let x = v + m. Calculate the common denominator of x and 1/22. 22 Suppose 36 = x + 3. Calculate the lowest common multiple of x and 24. 264 Let v(i) = -i**3 + 2*i**2 - 1. Let k be v(1). Suppose -l = 3*l - 44. Calculate the lowest common multiple of (-9)/4*(-4 - k) and l. 99 Let b = 11078/5 - 2227. What is the common denominator of b and 63/8? 40 Suppose 30*y = 19*y + 99. Calculate the smallest common multiple of y and 6. 18 Let z(j) = 2*j - 2. Suppose -26 = -7*n + 23. Calculate the least common multiple of z
{ "pile_set_name": "DM Mathematics" }
7) a multiple of 25? True Suppose -2*s - 5*i - 5 = 0, 6*s - i - 28 = s. Suppose -3*n - s*y + 167 = -n, 0 = 3*n - y - 225. Is n a multiple of 19? True Is 16 + -18 + -1 + -1 + 2620 a multiple of 18? False Let q(z) = z**2 + 1. Let d be q(-2). Suppose 5*f + l - 1050 = d*l, 0 = -5*f + l + 1035. Is f a multiple of 10? False Let j(k) = -65*k - 13. Let f be j(-10). Suppose -3*o = -f + 7. Is 35 a factor of o? True Let y = 2145 + -1405. Is 5 a factor of y? True Is -10*(-12)/60*54 a multiple of 18? True Let a(w) = -w**2 - 7*w - 2. Let p be a(-3). Suppose -p*c + 5*c = 395. Let l = c - -119. Is l a multiple of 13? False Let f = -1893 + 3378. Is 33 a factor of f? True Does 21 divide (2 + 1)*(-213)/(-9)? False Let u(r) = -r**3 + 8*r**2 + 3*r + 3. Suppose -4*c + m = -37, m + 19 = -0*c + 2*c. Let s be u(c). Let w = 73 + s. Is w a multiple of 9? False Let h(m) = m**2 + m + 70. Does 16 divide h(39)? False Does 8 divide -1 - -6*27*3/6? True Suppose -3*m - 759 = -4539. Is m a multiple of 7? True Let l be (3 + 3577)/(2/(-4)). Does 12 divide (-8)/(-10) - l/50? True Let p = 6 + -1. Suppose 3*b - 2 = p*x, -2*x - 4*b = -5*b. Suppose -x*j - 17 = -3*j. Is j a multiple of 4? False Suppose 47 = 5*x - 2*q, -7 = -3*q + 5. Let u(a) = x - 4*a + 7 + 2 - 2. Is u(-6) a multiple of 14? True Let l(i) be the third derivative of -i**6/30 - i**5/15 + i**4/8 + 5*i**3/6 + 8*i**2. Suppose f - 1 = -4*d, -3*f - 1 = -4*d + 12. Does 14 divide l(f)? False Is 18 a factor of 52/39 + (-1451)/(-3)? False Let i(z) = -z - 1. Let t(b) = 13*b**2 + 2*b + 1. Let p(v) = 4*i(v) + t(v). Does 19 divide p(-2)? False Let r be 2/(-2 - 147/(-73)). Let s = 64 + -166. Let c = s + r. Does 11 divide c? True Let w = 25 + -21. Suppose 5*q - a - 11 = 49, 34 = w*q + 2*a. Does 6 divide q? False Let j(x) = -3*x**3 + 29*x**2 + 11*x + 10. Let a(w) = w**3 - 10*w**2 - 4*w - 3. Let l(t) = 11*a(t) + 4*j(t). Let s = 11 + -6. Is l(s) a multiple of 16? True Let p = 49 - 7. Let b = 22 + -32. Let t = p - b. Does 26 divide t? True Suppose 4*o + 1152 + 1032 = 2*b, -1107 = -b - o. Does 19 divide b? True Let j = 491 - 451. Is j a multiple of 29? False Let m(u) = u**3 - 6*u**2 - 8*u + 5. Let v be m(7). Let a be (-40)/(-1 - v)*-1. Suppose x - a = -x. Is x a multiple of 10? True Let f = 1 + -2. Let z(p) = -117*p - 3. Is z(f) a multiple of 15? False Let m = 14 - 10. Suppose -m*j + 4*l + 68 = 2*l, -2*j = -4*l - 46. Suppose 0 = -3*d + j - 0. Does 5 divide d? True Let i(v) = -399*v - 2. Does 33 divide i(-1)? False Is 8 a factor of 0 - (3 - -1)*80/(-5)? True Let o = 150 - -327. Is 5 a factor of o? False Suppose 5*r - y = 4*y + 5, -r - 7 = y. Let p be 4 - (-5 - (r + 0)). Is 11 a factor of (99/(-6))/(p/(-12))? True Let a = 13 - 8. Suppose -1 + 25 = 3*t + 3*b, -a*t = 2*b - 25. Suppose 3*h - u - 128 = 0, 0 = -3*h + t*u + 69 + 51. Is h a multiple of 11? True Let k be 2/11 - 92/22. Is 14 a factor of (k/10 - (-1968)/20)*2? True Let w be ((-4)/(-5))/((-4)/(-30)). Let p = 256 + -187. Suppose 9*i - w*i = p. Is i a multiple of 12? False Let g = 2592 - 2127. Does 31 divide g? True Suppose 4*o - 16 = 0, 5*u - 4*o = 818 + 886. Does 8 divide u? True Suppose -68 = -7*g - 19. Suppose 0 = g*k - 481 - 317. Is k a multiple of 19? True Suppose -5*d = 74 + 66. Let q = -28 - d. Does 30 divide ((-264)/(-3) - q) + 2? True Let k be (4/(24/(-9)))/((-6)/8). Does 31 divide (4/(4/k))/(10/465)? True Let y = -55 + 51. Does 6 divide 913/8 + (231/(-56) - y)? True Suppose -10*b = -17*b + 490. Is b a multiple of 7? True Let k be ((-154)/(-55))/((-2)/10). Let j be 8/(-28) - 1894/k. Let a = j - 96. Is a a multiple of 13? True Let v = -163 + 342. Suppose l - 2*i + v = 0, -185 = l + 3*i + i. Let o = l - -255. Does 18 divide o? False Does 3 divide ((-105)/40)/((-2)/16)? True Let q(f) = 6*f**2 + 4*f - 58. Is 6 a factor of q(-6)? False Let z(g) = 29*g + 6. Let m be z(6). Suppose -3*s - 2*s = -m. Is 15 a factor of s? False Suppose -73159 - 7553 = -19*x. Is x a multiple of 118? True Let q(d) = -d**2 + 3*d + 1. Let r be q(0). Is 4 a factor of ((-45)/(-6) - r)*32/4? True Let i(k) be the second derivative of k**4/12 + k**3/2 - k**2 - 5*k. Let n be i(-4). Suppose 4*y = 3*g - 61, n*g + y - 27 - 10 = 0. Does 10 divide g? False Let u = 244 - 139. Is u a multiple of 35? True Let j(i) = -i**2 - 12*i + 57. Does 16 divide j(-8)? False Does 17 divide 6/2*(154 - -16)? True Let u(x) = 6*x**2 + 3*x + 1000. Is 50 a factor of u(0)? True Let r be 6*(75/6)/5. Suppose -10*i = -7*i + w - 780, -i - 3*w = -260. Is 7 a factor of i/6 - 20/r? True Let j(z) = -z**2 + 10*z + 0*z**2 + 1 + 4. Suppose 2*d = 4*q - 2*q + 24, q + 36 = 4*d. Is 6 a factor of j(d)? False Let o = 680 - 474. Is 35 a factor of o? False Let b(t) = 6*t**2 + 8*t + 4. Let d be ((-9)/(-18))/(2/(-8)). Does 2 divide b(d)? True Let n(m) be the third derivative of m**5/30 - 13*m**4/24 + 25*m**3/6 - 11*m**2. Is n(10) a multiple of 19? True Let h = 56 + -63. Let k(z) = -8*z - 3. Is 7 a factor of k(h)? False Does 6 divide (-9)/54 - 22/12 - -458? True Let d(w) = -15*w - 13. Let q(o) = 22*o + 20. Let a(x) = 8*d(x) + 5*q(x). Let t(k) = -3*k**2 - 36*k - 4. Let h be t(-12). Does 12 divide a(h)? True Let z be (1/(-3))/((-2)/30). Let u = 10 + -7. Suppose 2*q + u*q + z*s = 45, q = 4*s - 1. Is 3 a factor of q? False Suppose 0*x + 12 = 6*x. Suppose x*k + 271 = 4*k - 3*j, 0 = -2*k - 3*j + 289. Is k a multiple of 35? True Let v(l) = 5*l**3. Let g be v(-1). Let u(a) = -14*a - 2. Let r be u(g). Suppose -2*o + r = -32. Does 21 divide o? False Suppose -28*a + 30*a = 1728. Suppose -3*d - d = -a. Is d a multiple of 24? True Let n = -2116 - -2128. Is 3 a factor of n? True Let g(d) = d - 2. Suppose -3*n = -4*t - 25, -3*n = -2*n - 5*t - 23. Suppose -n*l - l + 32 = 0. Is 6 a factor of g(l)? True Suppose -3*n = -g + 1229, -2*n = -2*g + 4*g - 2490. Is g a multiple of 19? False Let c = -1 - -4. Suppose -2 = -c*y - 8. Is 26 a factor of ((-104)/20)/(y/10)? True Let a(u) = -6*u**2 + 3*u - 5. Let w be a(6). Let h(y) = y**2 + 5*y - 144. Let l be h(0). Let k = l - w. Does 17 divide k? False Suppose -r + 4*c = -19, -3*c = r + r + 17. Is 3 a factor of 3/(r - 20/(-17))? False Let r(y) = -4*y**2 + 65*y - 7. Is 4 a factor of r(16)? False Suppose 10 = 3*w + 1. Suppose 27 = 5*u + w*b, -4*u = 6*b - 2*b - 20. Suppose 146 - 392 = -u*h. Is h a multiple of 19? False Let l = 129 + -574. Let i = l - -747. Is 47 a factor of i? False Let m(h) = -3*h**2 + 4*h + 729. Is 9 a factor of m(0)? True Suppose 6*b = 2*b - 20, -3*n + 5*b = -43. Suppose 296 = l - 2*x, 3*x - 790 - 116 = -3*l. Suppose h + l = n*h. Is 20 a factor of h? True Suppose 16*n + 10*n - 5850 = 0. Is 45 a factor of n? True Let i = -1121 + 2801. Is i a multiple of 12? True Is 11 a factor of (-8 + 11)*(9 - -2)? True Suppose 7*z - 17*z + 4140 = 0. Does 46 divide z? True Suppose -730 = -4*l + l - 4*k, -5*k = -3*l + 721. Suppose -2*b + 2*g + 524 = 0, b - 3*g - l = 2*g. Does 36 divide b? False Let r(s) = s**3 - 51*s**2 + 174*s + 33. Is r(49) a multiple of 17? True Let m = 49 + -91. Let q be -3 + (-15)/6*m. Is 3451/q - 1/(-6) a multiple of 17? True Let m(n) be the second derivative of n**4/12 - n**3/6 + 11*n**2 - 37*n. Suppose 0 = -4*q + 3*q. Is m(q) a multiple of 11? True Let s = 48 - 37. Suppose -s*t + 174 = -2400. Does 14 divide t? False Let c be (4 - 0)/(-1 + 3). Suppose -x = 4*w - 23, 6*x - c*x - 4*w = -8. Suppose 3*d - 146 = -k, -x*k = -3*d + k + 136. Does 16 divide d? True Suppose 22 = -4*m + 2*r, m + 0*r - r + 3 = 0. Does 5 divide 1/4 + (-142)/m? False Suppose 303*p = 301*p + 480. Is p a multiple of 48? True Let u(i) = -5*i**2 - 3*i + 2. Let l(j) = -4*j**2 - 4*j + 3. Let x(g) = -4*l(g) + 3*u(g). Let b be x(-8). Is 21 a factor of -1*(-1 + b - 34)? False Let w = 5439 + -3160. Does 53 divide w? True Let d = 1094 + -1098. Let m(z) be the second derivative of z**4/2 + 2*z**3/3 - 4*z**2 - z. Does 24 divide m(d)? True Let t(h) = 2*h**2 + 60*h + 30. Is t(-30) a multiple of 6? True Suppose -4*z - 3*z + 2380 = 0. Is 21 a factor of z? False Let y = -1318 - -2423. Is 5 a factor of y? True Let b(o) be the second derivative of o**4/12 - o**3/2 - 7*o**2/2 + o. Let p be b(5). Suppose -35 = -2*q - 5*u, -5*q + 5*u - 15 = -p*q. Is q a multiple of 3? False Let f(p) = 14*p + 18. Is 2 a factor of f(5)? True Let o(q) = -q - 1. Let m be o(7). Let i(j) = -2*j
{ "pile_set_name": "DM Mathematics" }
3). Is r not equal to 4/9? True Suppose -7*p = -11*p + 36. Which is smaller: p or 0? 0 Let y = 15 + -9. Let a(f) = f**3 - 7*f**2 + 6*f. Let s(p) = p**3 - 7*p**2 + 6*p - 1. Let o(h) = -4*a(h) + 3*s(h). Let b be o(y). Which is bigger: b or -0.1? -0.1 Let d = 121 - 131. Let g = -15/7 + 52/21. Which is smaller: d or g? d Suppose 2*k + 14 = 2*g, 8*g - 3*k = 3*g + 31. Suppose -p + d - 10 = -6*p, 2*p + g*d - 27 = 0. Which is bigger: 3/4 or p? p Let w = -1.01 - 20.49. Let j = w + 21. Which is smaller: j or -0.1? j Let z = -1 + 1. Suppose 0 = -z*c + 2*c + 4. Let m = -3 + 1. Is c > m? False Let l = 4 - 0. Suppose 5*n + 1 = -l. Which is smaller: n or 0? n Let c(t) = -t**3 - 5*t**2 - 6*t - 5. Let k be c(-4). Let m be -6*((-6)/4)/3. Let a = k - m. Is a bigger than 3/5? False Let o be 2/(-3) - (-1 + 14). Let f = o + 199/15. Is 0.2 less than or equal to f? False Let v = 14 - 18. Which is bigger: -15/4 or v? -15/4 Let s be (-6)/(-14)*(-21)/(-6). Let u = s - 1. Is u greater than or equal to 1? False Let l be (-64)/10 + 4/10. Let k be (2/l)/(7/(-42)). Is k at most 2? True Suppose 5*x = 33 + 87. Is x equal to 24? True Let r = 14 + -10. Let s = -3 + r. Let n = -11 + 67/6. Is s equal to n? False Let c be 3 + (-87)/27 + 8/18. Which is greater: 0 or c? c Suppose 12*m + 5 = 13*m. Does -3 = m? False Let y be 572/2100 + (46/(-14) - -3). Do 1 and y have different values? True Let s(n) = -n**3 + 2*n**2 + 3*n + 2. Let m be s(3). Let b(a) = -m + 4*a + 4 + 1. Let g be b(-2). Which is greater: -3 or g? -3 Let t = 52 - 41. Which is smaller: t or 12? t Let j = -0.02 - 31.98. Which is bigger: j or 1/4? 1/4 Suppose 2*m - 4*v + 8 = 0, -3*m + 5*v = -0*m + 8. Suppose -m*d = 5*t - 44, -4*d + 14 = 3*t - 6. Let y = t - 81/7. Is 0 not equal to y? True Let o = -0.9 + 1. Let s = 3 + -3.1. Let d = s - -0.3. Which is bigger: d or o? d Let a = 109 + -78. Which is greater: a or 33? 33 Suppose -5*p - 318 = -2*w, -4*w - 196 = 3*p - 26. Is p <= -64? False Let g = -0.919 - 0.081. Let l = -2 - -3. Which is bigger: l or g? l Let j(p) = -p**2 - 5*p - 3. Let y be j(-4). Let n be 7/(-9) - 2/(-2). Which is smaller: n or y? n Let u = -17.2 + 16. Let b = u + 1. Suppose -q = -2*q - 1. Which is greater: q or b? b Let a be 4 + -11 + (-2 - (4 - 2)). Is -9 < a? False Let u be (-6)/66 - 0/(-2). Which is smaller: u or -1? -1 Let s = 1.3 + -0.3. Let m = 3.02 - 3. Let a = 2.02 - m. Is s != a? True Let a be (2/8 + -1)*-4. Suppose -5*m + 2 = -a. Suppose m - 2 = u. Is -2/3 > u? True Suppose 0 = -15*o + 14*o - 1. Which is bigger: o or -2/85? -2/85 Let t = 3.3 + 13.7. Is -2/3 != t? True Let c = 301/104 - 36/13. Let s(f) = f + 2. Let l be s(-2). Suppose 7*h - 6*h = l. Do c and h have the same value? False Let u = 147/13 + -10117/897. Which is bigger: -1 or u? u Let d = -1 - -1. Let g(j) = j**2 + 130. Let y be g(0). Let i be ((-4)/y)/(2/10). Which is bigger: d or i? d Let a = -31 + 31. Which is bigger: a or 1/17? 1/17 Let a be 1/(-4) - (-486)/(-24). Let k = a - -22. Are 1 and k non-equal? True Let s = 190 + -204. Which is smaller: s or -8? s Let o be (-16)/(-40) + (-21)/40. Are 0 and o non-equal? True Let v(o) = 3*o**3 - 3*o**2 + 3*o - 2. Let d(s) = 4*s**3 - 4*s**2 + 3*s - 2. Let q(z) = 4*d(z) - 5*v(z). Let m be q(2). Suppose m*x = -x. Are -3/4 and x equal? False Suppose 109 = -6*p - 11. Is p less than -19? True Let f(t) = t - 1. Let a be f(-3). Let j = 6 + a. Suppose j*h = -3*h. Is h greater than or equal to -2/15? True Suppose 132 = 5*s + 3*y, 2*s + 124 = 7*s + y. Is 24 at most as big as s? True Suppose 0 = -4*t - 1 + 25. Suppose -3*r = -4 - 14. Is t > r? False Suppose 4 = -13*o + 11*o. Suppose 0 = m + u + 4*u + 27, -2*m - 5*u = 34. Which is bigger: o or m? o Let n = 0 + 24. Which is greater: n or 1? n Suppose 2*z + 3*k = -6 - 7, -z - 8 = 2*k. Suppose 0 = 4*b + 4, 3*w - 2*b = -b - 5. Is z <= w? True Let i = 0.14 + -0.14. Does i = 20? False Let j = 110 + -314/3. Is 4 at least j? False Let q = -0.83 + 0.93. Let y = 3.1 - 3. Is q at least as big as y? True Let n be 2/13 - (-201)/(-39). Which is greater: -4 or n? -4 Suppose v = 2*v. Let i = -1/257 - -269/3084. Which is smaller: i or v? v Let j be (-1)/(-10)*-2*1. Which is smaller: 4 or j? j Let y be -27 + 3 + 3 - -3. Let c be (27/y)/(-12 + 0). Let t = -2 + 3. Are t and c unequal? True Let m = 10 - 14. Is -5 at most as big as m? True Let z = -2 + 3. Let c = -14 - -10. Let o = c - -7. Which is bigger: o or z? o Let v(j) = j**3 + 2*j**2 - 2*j - 3. Let s be v(-2). Let m be (-1)/(-12)*(s + 1). Which is greater: 0 or m? m Let a = 6 + -6.1. Let m = -0.18 + 0.13. Do m and a have the same value? False Let l = -0.5 + -0.5. Which is greater: 3 or l? 3 Let k be 39/7 - (-2)/2. Let m = -110/21 + k. Let o(r) = r + 5. Let f be o(-4). Is f at most m? True Suppose -x + 4 = c - 1, -5*c + 25 = 3*x. Let t = -291/1403 - -10/61. Which is greater: t or x? x Suppose 0 = 25*u - 21*u - 8. Is u at least 2? True Let m(t) = t**3 - t - 4. Let h be m(0). Let g(l) = -l**3 - 2*l**2 - 3*l. Let b be g(-2). Let d = b + -9. Which is smaller: d or h? h Let x(u) = -u**2 + 14*u - 1. Let a be x(14). Let z = -171/301 + 6/43. Which is greater: a or z? z Let x be (-1)/3 + (-34)/(-66). Suppose 0 = -4*k - 3*p + 22, -22 = -7*k + 2*k - p. Suppose -i + 5 = k*i. Are i and x non-equal? True Let o(p) = 4*p + 5. Let m be o(-4). Is -10 <= m? False Let x(f) = f - 3. Let y be x(5). Suppose -y*d + 8 = -0. Suppose -v = -5*v - d. Is v > -2/7? False Let w = -3005/77 - -39. Which is greater: -1 or w? w Let b(u) = u**3 - 5*u**2 + u - 7. Let h(n) = n**2 + 6*n - 11. Let a be h(-8). Let i be b(a). Let r be 4/3*i/(-12). Is -1 at most as big as r? True Let u = 2.2 - 2.3. Is u at most as big as 28? True Let s(l) = 6*l - 2. Let p(g) = 7*g - 3. Let f(d) = -5*p(d) + 6*s(d). Let j be f(12). Let o be (-2)/(-15) + (-5)/j. Which is bigger: o or 1/3? 1/3 Let u = -71 - -72. Do 2/59 and u have different values? True Let b = 44/7 - 118/21. Do -16 and b have different values? True Let w = -0.3 + 3.3. Let r = -169 + 155.2. Let l = r - -14. Which is greater: l or w? w Let a = -66 - 26. Let j = a + 283/3. Is -1/4 equal to j? False Let z = -1 - -3. Suppose v + 3 - z = 0. Let d = 2/85 + 77/340. Is d smaller than v? False Let l = -8 + 13. Suppose -29 = -l*d - 9. Suppose -d*y - 7 = -19. Which is smaller: 2 or y? 2 Let z be -2 - (0 + -2 + -2). Suppose -3*g + 6 = -4*a, -2*a + 16 = -z*g - 6*a. Is g bigger than -2? False Let w(n) = n**3 - 7*n**2 + 3*n - 3. Let p be w(3). Let s be ((-2)/(-2))/((-2)/p). Suppose -2*m = 2*u + 2*m - 14, 0 = -3*u - 4*m + s. Which is smaller: u or 5/4? u Let w be -3 + ((-48)/(-33) - -1). Suppose -4 = 4*t - 0. Which is bigger: t or w? w Let q(p) = p**2 + 2*p - 2. Let a be q(1). Which is bigger: -2/33 or a? a Suppose 3 = -g + 10. Let i be ((0 - 2) + g)/1. Suppose 3*l = -0*l + 2*x - 1, 0 = -i*l + x - 11. Which is smaller: l or -2? l Suppose -2*c + 9 - 3 = 3*y, -3*c + 5*y + 28 = 0. Let m = 8 - c. Is m greater than or equal to 3/5? True Let t = -1528/3 + 518. Which is greater: t or 9? 9 Let g = -10 - -7. Do g and -7/2 have different values? True Suppose 0 = -5*y + 4*m + 5 - 41, -2*m = 4*y + 8. Let n be 10/(-45) - 88/9. Let d(k) = k**2 + 9*k - 12. Let g be d(n). Which is greater: g or y? g Let k(t) = t - 4. Suppose 0*a + 4 = a. Let v be k(a). Is 0 greater than or equal to v? True Let v be 108/(-328) + 1/2. Let z = -139/574 + v. Which is greater: z or 1? 1 Let c = 0 + 1. Suppose 5*q + 4*t = -c + 3, -2*q = 5*t + 6. Let l be (-1 - (-21)/(-27)) + q. Is l at least 1? False Let q = 45 + 9. Which is smaller: 56 or q? q Let n be 632/(-3234) + (-2 - (-48)/22). Which is smaller: n or 1? n Let u = -23 - -23. Suppose -s + u*s = 6. Let v(r) = -5*r**3 + 1. Let g be v(1). Which is bigger: s or g? g Suppose -12 = 3*z, z - 56 = -3*l + 3*z. Suppose 0 = 3*s + 3*q + 12, s + q - 4*q - l = 0. Is -2/19 at least as big as s? False Suppose 2 + 0 = -2*w. Let u = 7 + 0. Suppose 5*c = -u + 2. Is c >= w? True Let q be (40/6)/((-1)/3). Suppose -5*p + f = 74, 4*p + 0*p = 4*f - 56. Let z be q/p + 2/3. Is z bigger than 2? False Let h(p) = 2*p + 11. Let q be h(-8). Let t(z) = z**2 + 6*z + 7. Let u be t(q). Let a = 1 - u. Is a bigger than -3? True Let r = 5 + -2. Suppose -2 = r*k - k. Are 2/11 and k non-equal? True Let u = 12 - 14.5. Let t = -2.3 - u. Are -10 and t non
{ "pile_set_name": "DM Mathematics" }
00 Let z = -95874.9147146 + 96020.9147. Let i = 146 - z. Round i to five dps. 0.00001 Let c = -108 - -113. Let f(s) be the first derivative of -s**4/4 + s**3/3 + 5*s**2/2 + 7*s - 3. Let z be f(c). Round z to the nearest 10. -70 Let w = -114.21 + 0.21. Let i = -2152969882.0000279 - -2152969996. Let y = w + i. Round y to 6 decimal places. -0.000028 Let b = -2.6417 - -2.383. Let q = -0.254 - b. Round q to one dp. 0 Let f = 39.5 + 5.3. Let h = -6.2 - f. Let a = -51.0000092 - h. Round a to six decimal places. -0.000009 Let v = 170821 - 170845.7357. Let s = v - -0.0357. Round s to the nearest 10. -20 Let j = 0.3443 + 74.5957. Let z = j - -0.06. Let a = -64.6 + z. What is a rounded to the nearest integer? 10 Let m = -11.1 + 6.2. Let v = m + 53.9. Let f = v + -49.0276. What is f rounded to two dps? -0.03 Let r(t) = -64643*t + 103. Let b(m) = 32322*m - 50. Let k(j) = 9*b(j) + 4*r(j). Let x be k(13). Round x to the nearest 100000. 400000 Let p(g) = -495*g - 9. Let q be p(-7). Suppose a - h - 2056 = -5*h, 2*a = 3*h + 4112. Let z = a - q. Round z to the nearest 100. -1400 Suppose -130621 = 19*y + 24419. Let r be (y/(-20))/(6/(-2000)). Round r to the nearest 10000. -140000 Let s = -30234821037835 - -30235267673819.000227. Let q = 446635717 - s. Let m = 267 + q. Round m to 4 dps. -0.0002 Let k(s) = -163*s**3 - 16*s**2 + 4*s + 10 - 9*s**2 + 46*s**3. Let t be k(-20). Let g = t - 650930. What is g rounded to the nearest ten thousand? 280000 Let z(a) = 12622*a**3 + 12*a**2 - a - 408. Let v be z(-24). What is v rounded to the nearest 1000000? -174000000 Let n = -285 + 278.3. Let p = n - -6.699981. What is p rounded to 5 decimal places? -0.00002 Let g = -1067.94127005 - 0.10762995. Let l = g - -1068. Let x = l - -0.044. Round x to 3 decimal places. -0.005 Let f = -111.3 + 136. Let j = 23.64 - f. What is j rounded to one decimal place? -1.1 Let d = -378.93 + 377. Let k = -34.588 + -3.982. Let m = k + d. What is m rounded to the nearest 10? -40 Let o = 872.203 + 1.797. Let i = 911.7 - o. What is i rounded to the nearest ten? 40 Let q = 118.814 + 0.186. Let r = -118.99999634 + q. Round r to 7 decimal places. 0.0000037 Let a = 14208.9999988693 + -14209. Round a to seven dps. -0.0000011 Let d = -3257160.9191807 - -3255420.9191. Let c = 1740 + d. Round c to 5 dps. -0.00008 Let o = -12.74624 + -0.13576. What is o rounded to the nearest integer? -13 Let i = 1824641928555629.99999984 - 1824641439525637. Let x = i - 489030065. Let u = -72 - x. Round u to 7 dps. 0.0000002 Let u = -22.4595 + 0.1395. Let v = 33 + -11. Let w = v + u. Round w to one dp. -0.3 Let z = 260657 + -260659.27522. Let u = 4387.28 - 4385. Let o = u + z. Round o to 4 decimal places. 0.0048 Let o = -105.09 - -105.096533. Round o to 4 decimal places. 0.0065 Let i = 12877.704 + -12650. Let r = -229 + i. Let h = r - 0.024. What is h rounded to one dp? -1.3 Suppose 9 = -3*h + 15. Let a be ((-8)/2)/4 + (h - 0). Let s be -1 - (a/2 + 406/4). What is s rounded to the nearest 10? -100 Suppose -r = 5*g - 6863560, 126544 = 5*g + 5*r - 6736996. Let p = g - 252713. Round p to the nearest one hundred thousand. 1100000 Let p = 49.5 - -9.5. Let y = -59.1 + p. Let d = -6.5 - y. What is d rounded to the nearest integer? -6 Let v be (3*(-2010)/(-135))/(1/300). Round v to the nearest 10000. 10000 Let l = 10841 - 10841.29141. What is l rounded to two decimal places? -0.29 Let a = 0.2536 + 0.0124. Let z = a - 11.326. What is z rounded to 0 dps? -11 Let l = 0.169 - 43.469. Let x = l - -80. Round x to the nearest integer. 37 Let z(i) = 302*i + 2415. Let s be z(-31). Round s to the nearest 1000. -7000 Let x = 4.4368379 - 4.439. What is x rounded to five dps? -0.00216 Let c = 6136.71 + -6110. Let k = c - 26.715665. Round k to four dps. -0.0057 Let o = -6.7 - 47.3. Let s = -266.29997428 - -212.2999729. Let z = o - s. Round z to 7 dps. 0.0000014 Let h = 2697700 - 2697814.99754. Let l = 115 + h. What is l rounded to four decimal places? 0.0025 Let u = 0.027742 - -357.202258. Let a = u + -1.23. Let h = a + -355.999771. What is h rounded to 4 dps? 0.0002 Let u = -22.1 + 24.775. Let t = -0.035 - u. What is t rounded to 1 decimal place? -2.7 Suppose 110 = 11*q - 6*q. Suppose q*s + 1802500 = -3*s. What is s rounded to the nearest 10000? -70000 Let o = -266 + 270. Suppose -3*g = o*j + 82816, 4*g = -5*j + 2*j - 110412. Round g to the nearest 10000. -30000 Let i = 84.2 + -50.04. What is i rounded to the nearest one hundred? 0 Suppose 5*r = 0, -j - 9 = -4*j - 2*r. Let p be (-2)/j - (-654380)/12. Let n = -192531 + p. What is n rounded to the nearest ten thousand? -140000 Let j = 212 + -203.3. Let t = 8.699998183 - j. Round t to 6 dps. -0.000002 Let k(m) = m**3 - 2*m**2 - 14. Let l be k(0). Let x be (-7)/(l/580)*(-4 - 32). Let p = 1010440 + x. Round p to the nearest 1000000. 1000000 Let a = 8 - 3.1. Let i = a - 4.9566. Let o = 0.05660423 + i. What is o rounded to seven dps? 0.0000042 Let i = 3817.9961024 - 3818. What is i rounded to 4 decimal places? -0.0039 Let q = 16096 - 16096.0000023819. Round q to 7 decimal places. -0.0000024 Suppose -3*t - 6705397 = -w, -1 - 7 = -2*w. Let q = t - 824869. Round q to the nearest 100000. -3100000 Suppose -5*k - 2*q = 349400 + 3383602, 0 = -3*k + 3*q - 2239797. What is k rounded to the nearest 100000? -700000 Let j = -28275.0012377 - -28275. What is j rounded to four decimal places? -0.0012 Let i = -1715 + 1721.311. Round i to zero decimal places. 6 Let w be ((-354)/(-21))/((-48)/(-168)). Suppose 57*r - w*r - 981400 = 0. Round r to the nearest 10000. -490000 Let m be 4 - -8294 - (-28)/14. Round m to the nearest 100000. 0 Let q = 414 + -442.4. Let t = 188.3 - q. What is t rounded to the nearest 10? 220 Let n = 29943.38900072 + -29945.199. Let m = -1.81 - n. Round m to seven decimal places. -0.0000007 Let a = 272.39 - 272.39024288. Round a to five decimal places. -0.00024 Let z = 622614582.90000355 - 622614565. Let r = -17.9 + z. Round r to six decimal places. 0.000004 Let c = 63.96 + -0.96. Let p = 106 - c. Let h = p - 43.000019. What is h rounded to 5 dps? -0.00002 Let t = -36.223 + 0.223. Let z = 35.99621 + t. Round z to 4 decimal places. -0.0038 Let c = 4033 + -2353. Let n = -1602.9 + c. Round n to the nearest ten. 80 Suppose -17*s = -274510 + 793095. Round s to the nearest 1000. -31000 Let i = -25513 - -11091. Let a = 23232 + i. Round a to the nearest 1000. 9000 Suppose 278*z = 264*z + 798. Let i = 52 - z. Round i to the nearest 10. -10 Suppose -2*r + 7*f + 185920015 = 2*f, 3*r - 278880009 = 3*f. Round r to the nearest 1000000. 93000000 Let q = 6233.63 + -6278. Let i = -1.57 - q. Round i to the nearest ten. 40 Let h = -15.025 + 15.0266018. What is h rounded to four dps? 0.0016 Let r = -30 - -1542. Suppose -27488 = -m + r. Suppose 3*a = 2*a - m. What is a rounded to the nearest ten thousand? -30000 Let j = -76.683 - -1.583. Let i = -2.9 + j. Let g = i + 78.0009. What is g rounded to three dps? 0.001 Let f = -14.00035 + -0.02065. Let y = f + -1.449. Round y to the nearest integer. -15 Let k = 0.3049 + -0.30490699. What is k rounded to five dps? -0.00001 Let m be (-217)/(-35) - 1/5. Let u be (m/(-8) - (-40873)/28)/(-1). Round u to the nearest one hundred. -1500 Let n(b) = 112*b + 19. Let r(k) = 55*k + 9. Let o(h) = -6*n(h) + 13*r(h). Let j be o(-2). What is j rounded to the nearest 10? -80 Suppose 8*r = 90 + 22. Suppose -r*x + 11*x - 6 = 0. Let k be ((-5)/x - 4) + 42006/4. What is k rounded to the nearest one thousand? 11000 Let c = 1353 - 1353.034724. What is c rounded to 4 dps? -0.0347 Suppose -7459338 = -53*m - 1819608. What is m rounded to the nearest 1000? 106000 Let r = 1762.8242 - 1763. Let o = r + 0.204. Round o to 3 decimal places. 0.028 Let z = 11535 + -7914. Let q = -3622.683 + z. What is q rounded to 1 decimal place? -1.7 Suppose 64*y - 47870644 + 4363444 = 0. What is y rounded to the nearest 100000? 700000 Suppose b - 192 + 112 = 0. Suppose -8*y = -10*y - b. Let t be (y/(-12) - 1/3) + -413. Round t to the nearest 100. -400 Let p be (4/(-4))/(-2*1/4). Suppose 0*i = -p*j + i - 3, 0 = 4*j - i + 9. Let h be (j + 2)*28 - 18/(-6). Round h to the nearest ten. -30 Let x = -2448272 + 41672. Round x to the nearest ten thousand. -2410000 Let i = 97009387 + 11937967. Let w = 32352646 + i. Round w to the
{ "pile_set_name": "DM Mathematics" }
5. Let b be (-105)/(-10)*6/k. Let y be (-3)/1 + (-196)/b. Solve -y = 4*u + 3*v, -2*v + 5*v = -2*u - 17 for u. -4 Suppose 8 = t + t. Suppose 9*g - 5*g = 0. Let z be g/5*-1 - -2. Solve d + o = -0 - 1, z*d - o - t = 0 for d. 1 Let v(r) = 2*r + 7. Let o be v(-5). Let y be (-1)/(o + 10/4). Suppose -2*n = y*m + 2, 2*n - m = 5*n - 3. Solve 3*g + 23 = -2*w - 2*w, 0 = 4*g + n*w + 24 for g. -5 Suppose -4*l + 3*h + 4 = 0, -2*l + 4*h = 28 - 20. Solve l = 4*f - 3*d, 3*f - 13 - 1 = 5*d for f. -2 Let v(b) = -4*b + 35. Let m be v(11). Let f be (9/(-6))/(m/24). Solve -21 = k - f*h, -6 = -2*h + 2 for k. -5 Let w = -8 - -12. Let a be 4 - ((-1 - -3) + -2)/(-1). Suppose a*f = 4*y + 23 + 9, 12 = -3*y. Solve f*x + 6 = -2*h, 5 = -x + w for h. -1 Suppose 3*c = 12, -2*d - 5 + 29 = 5*c. Suppose d*y = -y + 27. Suppose k + 4 = y. Solve 12 = -2*q + n, -n + 2 = -2*q - k*n for q. -5 Let j be (2 + 1)*(-16 - -17). Solve j*r + 0 = -3*p + 30, 0 = p + 2*r - 15 for p. 5 Let d be 2/(-11) - ((-48)/66)/4. Solve 4*n - 3*p + 14 = d, 4*n = -3*p - 29 + 3 for n. -5 Let r = -7 - -7. Let h(a) = -5*a + 4. Let k be h(r). Solve -2*i = -y + 4*y - 19, -k*y + 14 = -3*i for y. 5 Let b(o) = -2*o**3 - 4*o**2 - o + 2. Let h be b(-2). Suppose 3*n = 3*x, -3*n + h = -x - 0*n. Solve x*l + 16 = 4*d, -l + 13 = -2*l + 3*d for l. 2 Let b = 7 + -2. Let c = 2432 - 2431. Solve n + 0*n + c = 2*h, -10 = -b*h + 4*n for h. -2 Let w be (1 + 3)/1 - (127 - 125). Solve -d + 8 = w*l, -4*l = -4*d - l + 10 for d. 4 Let h(z) = -3*z - 23. Let y(w) = 8*w + 68. Let o(p) = 17*h(p) + 6*y(p). Let m be o(-5). Suppose 8*c - m = 32. Solve -3*t + 5*l = -0*t - 12, 3*l = 2*t - c for t. 4 Suppose -5*v + 20 = 0, j - 6 = -v - 0. Suppose w - 7 = -4*n + 22, j*w = -4*n + 30. Suppose 0 = -2*u + 4*u - 16. Solve 3*g + u = d, -d - n*g = -3*g + 6 for d. 2 Suppose 5 = -4*f + 13. Solve f*w - 3*w - 17 = 5*g, 5 = -4*w + g for w. -2 Suppose 21 = 113*i - 106*i. Suppose -5*b + 20 = -90. Solve r + b = -4*r - m, -m = -i for r. -5 Suppose 24 = 2*c + 4. Suppose -c = -5*l - 0. Suppose -2*a + 15 = 5*r, -r + 16 = 5*a - l*a. Solve -j + r = -4, 3*m + 2*j - 13 = 0 for m. 1 Let q be (2/(-4))/((-1)/4). Let b be -3 - ((-2)/10 - (-10302)/85). Let z = -119 - b. Solve z*n - x = q*x - 17, -5*x = -20 for n. -1 Let d = -63 - -27. Let g be (-96)/d + 1*2/6. Solve 0 = c - 2*c + g*n - 17, -4*c + 5*n = 33 for c. -2 Suppose 176*q + 65 = 181*q. Suppose -3*z - 2*w = -q, -3*z + 14 = z + w. Solve 0 = -3*v + 5*t - 34, -v + 6*v - z*t + 30 = 0 for v. -3 Suppose -g = p + 4, 0 = 7*p - 9*p - g - 4. Suppose w - 2 = 4*r - 7, p = -5*r + 3*w + 15. Solve 0 = -b - k + 1, 3*b + b - 2*k - 10 = r for b. 2 Let f be 78/130 + (-4)/(-10). Solve 0 = 4*p + 4*i - 4, 2*p - i = -11 + f for p. -3 Let g(c) = -c**3 + 5*c**2 + c - 3. Let f(b) = -b**2 + b. Let u(m) = -3*f(m) - g(m). Let t be u(3). Solve 2*k - r - 13 = 0, t*k - 3*r = 4*k - 11 for k. 5 Let q(y) = y - 2. Let i be q(8). Suppose i*g + 0*g - 30 = 0. Solve 3*h = -2*x - x + 21, -23 = -2*x - g*h for x. 4 Suppose -3*o - 18*k = -22*k + 8, 2*k - 4 = 0. Solve 0 = -5*u - 4*t - 6, -u + 3*t - 5 = -o for u. -2 Let w = -86 + 91. Suppose 0 = -2*m + 4, 3 = -w*d + m + 21. Solve -3*p - 10 + 31 = -d*t, 5*p - 3 = -4*t for t. -3 Suppose 86 = 3*t - 2*d, -5*d - 59 = -5*t + 91. Solve -4*a = -2*k + t, 5*a + 25 + 0 = k for k. 5 Let j = -642 - -645. Solve 0*s = -4*y - j*s + 6, 2*y - 8 = -4*s for y. 0 Let z = -50 - -99. Let i = z + -37. Let k(m) = 3*m**3 + m**2 - m. Let c be k(1). Solve 0 = -5*x + n - c, -x + 3*x = -5*n - i for x. -1 Let s(b) = b**3 - 8*b**2 + 9*b - 4. Let i be s(7). Suppose 10 = -8*j + i*j. Solve 0 = -4*m - 5*q, -j*q - 6 + 21 = m for m. -5 Let p = -1046 - -1049. Solve -3*u + 5*f + 24 = 0, 5*u - 3*f - 21 = p for u. 3 Let v = -376 - -378. Solve 0 = 2*l + n - 3*n + v, 4*l + n = -9 for l. -2 Let w = 2602 - 2585. Solve -2*r + 3 - w = -5*v, 0 = -3*v + 2*r + 6 for v. 4 Let k(w) be the first derivative of -w**2/2 + 19*w - 11. Let f be k(16). Solve 3*o + t + 0*t = 7, -o + 19 = -f*t for o. 4 Let y = 3 - 3. Solve y = 2*u + 2*z - 4, -5*z + 6 = 1 for u. 1 Let y = 6 - -4. Let u be (y/(-6) + 2)*6. Let g(i) = 6*i**2 + 8*i + 8. Let p be g(-2). Solve p = -4*b, -4*m - u*b = -3*m + 4 for m. 4 Let u be ((-5427)/207)/(-9) + (-4)/(-46). Suppose 6 - 21 = -z. Solve -o + 3*c - 7*c - 20 = 0, o - u*c = z for o. 0 Let t(y) = 2*y + 21. Let g(f) = -f**2 + 7*f - 11. Let k be g(6). Let z be t(k). Solve i = 2*v - z, -3*v = -0*i - 3*i - 18 for i. -1 Suppose 0 = 5*l - 10. Suppose -7*p = -2*p - l*i - 19, 0 = -4*p + i + 14. Suppose 0*d = 3*d - 12. Solve -p*q - d*c = -q - 14, 3*c = 15 for q. -3 Let g be 4 + -19 + 8 + 28. Solve 0 = -5*j - m - g, 6*m - 16 = 2*m for j. -5 Let h(b) = b**2 - 2*b - 1. Let l be h(3). Let m be ((-1)/l + 0)/(-1)*4. Solve 5*w = 2*v - 10, -3*w - 2 = -0*v - m*v for w. -4 Let w = 9 + -29. Suppose -4*x = h - 2, 5*x + 4*h - 2 = 6. Let l be w/(-15)*(x + 3). Solve 11 = -v - l*n, -3*n + 5*n - 17 = -5*v for v. 5 Suppose -4*k - 2*z + 23 - 17 = 0, -k + z - 3 = 0. Solve k = -g + 3*l - 2 + 1, 6 = 2*g + 2*l for g. 2 Suppose 5*a - 18 - 7 = d, -2*d - 22 = -3*a. Solve -2*t + 3*t - 2 = -m, a*t = 5*m - 28 for t. -2 Suppose 101*u - 95*u - 12 = 0. Solve -m - 16 = 5*q, -5 = 3*q - u*m - 2*m for q. -3 Let v be (2 + -1)*-1 + 3. Suppose -3*m + 16 = -v*o, -3*o + 0*o + 14 = 5*m. Let j be (-2 + (-16)/(-6))*(-45 - -51). Solve t - j = -m*y - 18, -y + 4 = 4*t for y. -4 Suppose z - 10 = 2*i, 0 = -16*z + 14*z - 3*i - 8. Solve f = -0*j + z*j - 5, j - 20 = 4*f for j. 0 Let b(w) = w**3 - 9*w**2 - w + 5. Let y be b(9). Let o be 8*3 + y + -3. Solve 9 = -3*v - 2*q, 0*q = 4*v + q + o for v. -5 Suppose -2 = -5*s + 9*s - 5*b, -4*s = 2*b - 12. Solve s*m - y + 4 = -0*y, 2*y + 4 = 0 for m. -3 Let t be 35/(-2)*(-82)/287 - -12. Let s be 2/(-3*(-3)/18). Solve 16 = 3*b + s*j, -5*j = 4*b - 4*j - t for b. 4 Let b(o) = -5*o + 2. Let x(h) = h**3 + 6*h**2 - 5*h + 8. Let q be x(-7). Let u be b(q). Suppose -15 = 29*i - u*i. Solve 0 = -2*m + 3 + 3, m + 22 = i*r for r. 5 Suppose 5*m = 4*m + 5. Suppose 67*g = 64*g + 57. Solve g = -l + m*a, l = -4*a - 0*a + 8 for l. -4 Suppose -4 = 2*x - 5*j, -2*j = -3 - 1. Solve -5*h + 35 = 2*b - 7*b, -5*h + x*b = -31 for h. 5 Let j = 1991 - 1991. Solve 0 = -4*f - j*f - 3*r + 1, 5*f = -5*r - 5 for f. 4 Suppose -24*v = -116 - 4. Solve -3*k + 3 = -4*r, 5*k = 3*r - 4*r + v for r. 0 Suppose 111 = 4*u - 4*v + 87, -3*u - 4*v = -11. Solve 12 = -t + 5*b, u*t - 9*t = b + 6 for t. -2 Let y be 7/(0 - 5/(-75)). Let d = 105 - y. Solve -3*p - 3*q - 3 = d, 4*p - 2*p - 2 = -4*q for p. -3 Let n(t) = t**2 + t + 4. Let s be n(-3). Let b(q) = 3*q**3 - 35*q**2 - 13*q + 17. Let v be b(12). Solve 0 = 2*k - 2*f, k = v*k + f - s for k. 2 Let o be (-4)/(-28) + (-3960)/35. Let m = o + 117. Solve 2*t + 2*p - m = 0, -5*p + 18 = t - 0*t for t. -2 Suppose -2*b = 10, -3*m - 5*b = -3*b - 29. Suppose 6*v + 13 = m. Solve 2*a - 15 = -a + 3*c, v = a + 5*c + 19 for a. 1 Let p = 331 - 329. Solve -2*j = z + p + 9, -2*j = 4*z + 14 for j. -5 Let z be 2*(-1 + (-3 - -6)). Suppose l + 3*g = 2*l - 5, -2*g = -z. Suppose -3*w - 5*n = 2, -2*w - 5*n + 3 = l. Solve 17 = 4*p + t, p - w*p + 28 = -t for p. 5 Let k = -1 - -3. Let s = 2 + k. Suppose -5*d + 20 = 5*p, 3*d - 2*p - 3*p = -s. Solve -4*i + 16 = -4*m - 0, 0 = -d*m + i - 9 for m. -5 Suppose 0*v - 8 = 2*v. Let i be v/2 + 21/3. Solve -i*q = 2*p - 5*p - 2, 4 = 5*p - q for p. 1 Suppose 2*l - 21 = -o + 23, 5*l = -2*o + 111. Let k = l - 7. Suppose 14*y + 8 = k*y. Solve -2*z + 5*p - 2 = 0, 0 = y*z + 3*p + 2 + 2 for z. -1 Let i = -120 + 123. Suppose -6 - 9 = -i*b - 3*n, -5*n + 25 = -4*b. Solve 2 = -m + 2*l, m - l + 3*l - 2 = b for m. 0 Suppose 19*j - 93 = -17. Let z be (2/(-3))/((-10)/45). Solve z*q = 2*m + 10, -2*q = -7*q - j*m - 20 for q. 0 Suppose 6*m - 26 = -7*m. Solve -m*q - 4*t = 12, 3*t + t = 4*q for q. -2 Let a be (-3)/(-1) + (16 - 35) + 17. Solve -3*k - a = -2*d, -3*k - 2 = -d - 0*k for d. -1 Let s = 9 + -17. Let t = 5 + s. Let x = t + 5. Solve 0 = u + 3*k - 3, 5*u - x*k - 17 + 2 = 0 for u. 3 Suppose 141 = g - 2*m + 3*m, -m = 3. Let x = 147 - g. Solve 5*n + 11 = -3*r, -x*r + 8 = -1 for n. -4 Suppose -193*z + 197*z - 172 = 0. Suppose -4*d = -0*c + 3*c - z, 0 = -5*c - 2*d + 67. Suppose 0 = o - 5 - 0. Solve -o*v = 3*h + 36 - c, -13 = 5*h + 2*v for h. -1 Let d = -906 + 910. Let g(s) = -3*s
{ "pile_set_name": "DM Mathematics" }
03)? -6 Let x(p) = p**2 + 257*p - 19404. What is x(61)? -6 Let c(j) = 19*j - 229. Determine c(17). 94 Let t(i) = -1140*i + 410400. Determine t(360). 0 Let s(w) = -30*w**2 - 368*w - 134. Determine s(-12). -38 Let c(r) = 30*r - 41. Give c(8). 199 Let t(p) = -15*p**2 + 60*p - 188. Calculate t(4). -188 Let z(s) = -s**2 - 408*s + 1243. What is z(3)? 10 Let t(m) = -567*m + 4533. Determine t(8). -3 Let o(c) = 6*c**3 + 79*c**2 + 209*c + 190. Calculate o(-10). 0 Let w(j) = -4*j - 65. Determine w(-28). 47 Let n(o) = 2*o**3 - 54*o**2 + 2*o - 64. What is n(27)? -10 Let r(w) = -55*w + 1039. What is r(19)? -6 Let o(u) = -2*u**3 + 109*u**2 - 209*u - 2. Determine o(2). 0 Let o(f) = -45*f - 4164. Give o(-93). 21 Let q(y) = -27*y + 863. Calculate q(18). 377 Let k(q) = -q**3 - 6*q**2 - 402*q - 1986. Determine k(-5). -1 Let j(g) = 2*g**2 - 44*g + 31. What is j(21)? -11 Let z(w) = -w**3 + 99*w**2 - 6*w + 598. Give z(99). 4 Let f(g) = -6*g**3 - 91*g**2 - 19*g + 22. Calculate f(-15). 82 Let j(t) = -302*t - 9357. Give j(-31). 5 Let z(h) = -h**3 - 9*h**2 - 25*h + 48. Calculate z(-6). 90 Let x(i) = -31*i - 14. What is x(4)? -138 Let j(z) = -z**3 - 11*z**2 - 8*z - 6. Determine j(-9). -96 Let z(j) = -j**3 + 180*j**2 - 7660*j + 63. Calculate z(69). -6 Let b(g) = -2*g**3 + 7*g**2 + 8*g + 7. What is b(5)? -28 Let h(q) = -29*q**2 - 2*q + 24. Determine h(0). 24 Let k(j) = -5*j**2 - 2*j. Give k(2). -24 Let l(h) = -h**3 + 94*h**2 + 136*h - 12782. Give l(94). 2 Let z(m) = -4*m**3 - 2*m**2 - 5*m - 57. Calculate z(-5). 418 Let y(p) = -12*p**3 + 170*p**2 - 8*p + 8. Give y(14). 288 Let n(k) = -95*k**2 - 2088*k + 48. Calculate n(-22). 4 Let v(a) = a**3 - 3*a**2 - 479*a + 970. Calculate v(2). 8 Let j(d) = -d**2 + 150*d + 5613. Determine j(-31). 2 Let m(c) = -3*c**2 - 159*c - 165. Give m(-52). -9 Let u(n) = -n**3 - 15*n**2 + 15*n + 473. Determine u(-14). 67 Let r(o) = o**3 - 2*o**2 - 98*o + 2. Calculate r(-9). -7 Let n(q) = -q**2 - 44*q + 122. Determine n(-41). 245 Let g(u) = u**2 - 10*u + 86. Give g(10). 86 Let o(w) = 5*w**2 - 22*w + 23. Determine o(3). 2 Let l(o) = 63*o + 38. Determine l(-1). -25 Let f(m) = -3*m**2 - 237*m + 254. Calculate f(-80). 14 Let u(w) = 77*w**2 + 970*w - 970. What is u(1)? 77 Let o(x) = -x**2 - 3*x + 43. Determine o(-13). -87 Let j(h) = 4*h + 23. Give j(-17). -45 Let o(a) = 502*a - 1026. Give o(2). -22 Let d(w) = -w**3 - 106*w**2 - 964*w - 390. Determine d(-96). -6 Let m(f) = 5981*f + 29912. Give m(-5). 7 Let v(l) = -l**3 + 11*l + 20. Give v(9). -610 Let n(f) = -f - 22. What is n(35)? -57 Let v(m) = 10*m**2 - 152*m + 46. Determine v(15). 16 Let g(y) = -2*y**3 + 29*y**2 + 490*y - 7. Determine g(-10). -7 Let m(l) = 4*l**3 - 6401*l**2 + 12800*l - 2. Determine m(2). 26 Let q(l) = -l**2 + 27*l + 3934. Calculate q(-51). -44 Let o(i) = -207*i**3 - 7*i**2 + i + 7. Calculate o(-1). 206 Let n(l) = l**3 + 7*l**2 + 1684*l + 11791. Give n(-7). 3 Let p(u) = -4*u**3 - 10*u**2 - 46*u - 84. Calculate p(-2). 0 Let o(z) = -3*z**3 + 3*z**2 - 17*z + 79. Calculate o(4). -133 Let z(t) = t**3 - 5*t**2 - 140*t + 1208. Calculate z(-13). -14 Let i(w) = -w**3 - 127*w**2 - w + 12. Determine i(0). 12 Let q(z) = -z**2 - 32*z - 187. Give q(-10). 33 Let w(y) = -4*y**3 - 13*y**2 - 10*y - 14. Calculate w(-5). 211 Let v(z) = 2*z**3 + 21*z**2 + 16*z + 5. Calculate v(-4). 149 Let x(r) = -6*r**2 + 12*r + 97. Determine x(-4). -47 Let o(i) = -5*i**2 + 4*i + 3. Determine o(-4). -93 Let o(q) = -q**3 - 5*q**2 + 39*q + 180. Give o(-5). -15 Let x(z) = z**3 + 3*z**2 - 208*z - 425. Determine x(-2). -5 Let z(b) = -b**3 - 65*b**2 + 505*b - 17. Calculate z(-72). -89 Let l(b) = b**3 + 14*b**2 + 24*b - 4. Give l(-11). 95 Let m(w) = -55*w**3 - w**2 + w + 3. Calculate m(-1). 56 Let a(g) = g**2 + 32*g + 89. Calculate a(-8). -103 Let n(b) = 2*b**2 - 12*b - 161. Determine n(-6). -17 Let v(o) = 2*o**3 + 11*o**2 + 42*o - 11. What is v(-4)? -131 Let n(h) = 2*h**2 + 146*h + 3. Give n(-73). 3 Let g(y) = 236*y + 46722. Give g(-198). -6 Let p(t) = 16*t + 98. Give p(-10). -62 Let p(x) = -924*x - 4606. Determine p(-5). 14 Let o(z) = 11415*z - 342448. Give o(30). 2 Let w(g) = -20*g - 81. Determine w(-2). -41 Let j(q) = -q**2 + 101*q + 2575. Give j(-21). 13 Let c(u) = -584*u + 2944. What is c(5)? 24 Let j(h) = 32*h + 428. What is j(-6)? 236 Let r(u) = u**2 - 48*u + 62. What is r(48)? 62 Let w(y) = -y**3 + 11*y**2 - 26*y + 78. Calculate w(9). 6 Let g(q) = -216*q**3 + q**2 + q. Determine g(-1). 216 Let l(b) = 20*b - 77. What is l(11)? 143 Let o(s) = -s**2 + 10*s + 187. Calculate o(-7). 68 Let t(h) = h**2 - 67*h + 71. What is t(60)? -349 Let m(f) = 2*f**3 + 68*f**2 + 191*f + 40. What is m(-31)? -115 Let u(g) = -2*g**2 + 36*g - 65. Determine u(13). 65 Let y(w) = w**2 + 33*w - 686. Give y(-47). -28 Let d(a) = -a**3 + 17*a**2 - 6*a - 10. Give d(16). 150 Let w(p) = 3*p**3 + 34*p**2 + 10*p - 29. Give w(-11). -18 Let b(v) = -2*v - 1288. Give b(-22). -1244 Let y(u) = 2*u**3 - 14*u**2 + 29*u - 22. Determine y(4). -2 Let f(h) = h**3 + 26*h**2 + 58*h + 330. Determine f(-24). 90 Let i(n) = n**3 + 9*n**2 - n - 25. What is i(-9)? -16 Let r(x) = -4991*x + 74871. Determine r(15). 6 Let n(u) = -u**3 + 26*u**2 - 85*u + 10. What is n(3)? -38 Let k(z) = 3*z**2 + 484*z - 2883. Determine k(6). 129 Let s(x) = 3*x**2 + 116*x + 1098. Calculate s(-17). -7 Let d(i) = i**2 + 34*i + 114. Determine d(-33). 81 Let i(o) = 12*o**2 + 350*o + 32. Give i(-29). -26 Let d(h) = h**3 - 171*h**2 + 1441*h + 2757. Calculate d(162). 3 Let g(j) = 2*j**2 - 129*j - 14213. Calculate g(-58). -3 Let w(k) = 140*k + 97. Calculate w(2). 377 Let q(u) = -u**2 + 247*u + 2548. Calculate q(-10). -22 Let o(c) = c**2 - 16*c + 36. Give o(7). -27 Let t(z) = 34*z - 437. Give t(15). 73 Let y(h) = 2*h**3 - 108*h**2 + 109*h - 75. Calculate y(53). 84 Let a(p) = 512*p - 2045. What is a(4)? 3 Let d(c) = -2*c**2 + 56*c + 326. Give d(33). -4 Let x(z) = 13*z**3 - 3*z**2 + 3*z - 9. What is x(1)? 4 Let m(q) = 46*q + 23. What is m(5)? 253 Let d(m) = 2*m**3 - m**2 - 7*m - 8. Calculate d(5). 182 Let y(r) = -r**2 - 9*r + 366. What is y(14)? 44 Let i(d) = -72*d**2 + 5*d + 5. Calculate i(-1). -72 Let f(g) = -57*g - 5. Calculate f(0). -5 Let y(w) = -39*w + 133. Give y(1). 94 Let b(j) = -5*j**3 - 27*j**2 + 18*j + 22. Calculate b(-6). 22 Let c(r) = -6*r**2 + 43*r - 8. Give c(7). -1 Let t(i) = -i**3 + 76*i**2 + 9*i - 698. Calculate t(76). -14 Let g(b) = b**2 - 156*b + 4557. Give g(39). -6 Let x(y) = -216*y + 19. What is x(0)? 19 Let p(v) = 3*v**3 - 22*v**2 - 2*v + 6. Calculate p(7). -57 Let q(m) = -2*m**3 - 47*m**2 - 248*m - 6. Calculate q(-8). -6 Let l(z) = z**3 - 45*z**2 - 207*z - 2155. Determine l(50). -5 Let j(g) = 242*g - 1711. Give j(7). -17 Let s(c) = 915*c + 4581. Determine s(-5). 6 Let d(i) = -i**2 + 67*i - 256. Calculate d(63). -4 Let a(m) = 7*m**3 - 112*m**2 + 9*m - 140. Determine a(16). 4 Let u(l) = -31*l**2 - 1339*l - 219. Calculate u(-43). 39 Let b(s) = -33*s + 3210. Give b(100). -90 Let t(l) = 19*l**2 + 50*l - 29. Determine t(-3). -8 Let i(g) = g**3 + 20*g**2 + 9*g + 195. Give i(-20). 15 Let i(u) = -25*u + 664. Calculate i(24). 64 Let d(u) = 2*u**2 - 14*u + 69. Determine d(12). 189 Let z(w) = -w**2 + 138*w - 1015. Determine z(8). 25 Let p(s) = 13*s - 508. Calculate p(39). -1 Let q(l) = 39*l - 313. Calculate q(8). -1 Let u(o) = -133*o**3 - 3*o - 3. Give u(-1). 133 Let y(g) = g**3 - 22*g**2 - 89*g + 1967. Calculate y(22). 9 Let z(i) = 2*i**2 + 14*i - 10. Give z(-9). 26 Let h(r) = -4*r**2 - 523*r + 105. Give h(-131). -26 Let v(w) = -1533*w + 13790. Determine v(9). -7 Let m(o) = -o**3 - 6*o - 1. Determine m(0). -1 Let x(b) = -b**3 + 2*b**2 + 9*b - 13. Determine x(-3). 5 Let g(w) = w + 87. Determine g(-83). 4 Let f(p) = -56*p + 301. What is f(4)? 77 Let r(h) = h**3 - 35*h**2 - 48*h + 307. What is r(36)? -125 Let q(v) = 3*v**2 + 179*v - 607. What is q(-63)? 23 Let o(f) = 3*f**2 + 216*f - 215. Give o(1). 4 Let t(x) = -4*x**3 + 219*x**2 + 53*x + 100. Calculate t(55). -10 Let y(k) = -13705*k - 27419. Calculate y(-2). -9 Let l(q) = 705*q**2 - 4229*q - 8. Calculate l(6). -2 Let i(z) = 2*z**2 - 2*z + 19. Determine i(7). 103 Let j(g) = -g**2 + 43*g - 304. Give j(33). 26 Let l(c) = 545*c + 3811. Calculate l(-7). -4 Let n(t) = t**3 - 34*t**2 - 75*t + 97. Determine n(36). -11 Let c(l) = -11*l**3 - 16*l**2 +
{ "pile_set_name": "DM Mathematics" }
10, k, -2 Suppose -24*r + 274 = -25*r. Let h = -266 - r. Put 3, h, 1 in ascending order. 1, 3, h Let a be 4*(-2 + 110/54). Let o = 35/54 - a. Let w(i) = -1753*i - 7005. Let d be w(-4). Sort d, -1, o, -0.1 in decreasing order. d, o, -0.1, -1 Let g(h) = -4*h**3 + 55*h**2 + 11*h + 46. Let r be g(14). Sort 16, r, 135, 5 in ascending order. r, 5, 16, 135 Suppose -s = -2*u, 2*u = -u - 3*s - 9. Let o = -1092.87 + 1093. Sort u, 4, o, 0.5 in descending order. 4, 0.5, o, u Let i(l) = -l**2 + 7*l + 3. Let f be i(8). Let o = 0 - f. Let r(j) = -11*j - 172. Let v be r(-16). Sort 6, v, o. v, o, 6 Let i = -1439.08 - -1438.7. Put i, -1, 0.7 in decreasing order. 0.7, i, -1 Let n = 7.4 - 4.4. Let g be (79/(-27) - -3)*3. Let p = 69 + -70. Put p, n, 1/6, g in descending order. n, g, 1/6, p Let h = 88.63 - -10.57. Let m = -94 + h. Let t = m - 5.02. Sort t, -2/9, -1/4, -1/2. -1/2, -1/4, -2/9, t Let v be 91/273*(-18)/33. Let t be 236/(-581) + 12/42. Let h = t - 282/415. Sort 0.1, h, v, 0.01. h, v, 0.01, 0.1 Let b = 73 - 76.3. Let t = b + 6.3. Let o = 4.99 + 0.01. Sort -2/3, o, t in ascending order. -2/3, t, o Let u = -23029 - -23029.5. Put 13, 7/5, u in ascending order. u, 7/5, 13 Suppose 144*a = -304 - 216 + 88. Put -4, 5, 1, a in decreasing order. 5, 1, a, -4 Let u = 38/9 + -476/117. Let c = -258 + 259.072. Let o = c + -0.072. Put o, -0.1, u, -1/8 in decreasing order. o, u, -0.1, -1/8 Let n(k) = -k**3 - 15*k**2 - 17*k - 20. Let l be n(-14). Suppose 0 = -8*w + 86 - l. Let m be 12/21*-4 + w/28. Sort 3, m, -10 in increasing order. -10, m, 3 Suppose 10*l = 18*l - 32. Let z be -7 - (-8 - (-2)/4*l). Sort -5, -4, z, 5 in descending order. 5, z, -4, -5 Let n = 971 + -971.617. Let t = 0.117 + n. Put 0, t, 4 in decreasing order. 4, 0, t Suppose -1 = 5*y + 4. Let o be y*4 + (-16)/8. Let l be ((-8)/(-3))/((-4)/o). Sort 5, -5, l in descending order. 5, l, -5 Let f = -728.194 - -732. Let q = -0.806 + f. Let r = 1 + -1.4. Sort q, 2/17, r in ascending order. r, 2/17, q Let m be -12*((-42)/7)/(-12). Put 0, -8, m, 3 in descending order. 3, 0, m, -8 Let r be (2/3)/(92/24 + -4). Let h be 3145/3825 - 4/18. Sort -2/13, -0.3, r, h in ascending order. r, -0.3, -2/13, h Let q be ((-22)/132)/((-1)/(-2)). Put 1, -0.1, 10, q in decreasing order. 10, 1, -0.1, q Let b be (813/1626)/(-1*1/(-10)). Let x = -16 - -8. Let k = -5 - x. Sort b, -2, k, 4. -2, k, 4, b Suppose -36*c - 9*c + 1350 = 0. Let a be (3/2)/(5*3/c). Sort -1, -20, 1, a in decreasing order. a, 1, -1, -20 Let i = -12804 + 12799. Put 5, -9, i, -33 in ascending order. -33, -9, i, 5 Let x = -1999 - -1998. Put 12, -4, x, -2 in decreasing order. 12, x, -2, -4 Let l be (-15)/(150/4) + (-12)/(-5). Let v be (11 + -4 - l) + 0. Let d(n) = n**2 + 15*n + 23. Let g be d(-13). Put 2, g, v in decreasing order. v, 2, g Suppose -4*y = -d - y + 11, -2*d - 2*y - 2 = 0. Let v(a) = a + 18. Let i be v(-14). Let h be i/2 + ((-33)/3 - -6). Put d, 1, -4, h in ascending order. -4, h, 1, d Let v = -144 - -129. Let u be (-2)/(-4)*6/(-18). Sort v, -0.2, u in descending order. u, -0.2, v Suppose 60*g - 3 = 63*g. Suppose 0*i + 4 = -i - 2*a, -33 = 5*i - 3*a. Sort 8, g, i in ascending order. i, g, 8 Let h be 5 - 246/45 - 2/(-3). Sort h, 0.3, -305, 5/2, -7 in decreasing order. 5/2, 0.3, h, -7, -305 Suppose 8*b + 16 = 4*b. Let n be (b/(-16))/((-11)/(-132)). Suppose 0 = z + 3 - 4. Put z, n, 2 in descending order. n, 2, z Let u be -1*((-7 - -3) + 13). Let r = u + 11. Suppose g = -4*g + 3*g. Sort r, g, -2, 4 in descending order. 4, r, g, -2 Let k = -373 + 373. Let h = -0.31 - -0.01. Sort h, 1/2, k, -4 in descending order. 1/2, k, h, -4 Let x be (-1 - 7/(-4)) + 273/52. Let c(k) = -k**2 - k + 44. Let n be c(x). Let b = -77 + 75. Sort 0, b, 5, n in increasing order. b, 0, n, 5 Let y(g) = -526*g + 3160. Let o be y(6). Sort 6, 3, o, 13 in decreasing order. 13, 6, o, 3 Suppose 62 + 6 = -n. Let v = n - -70. Let u be (-11)/(-3) + v/6. Put u, -8, -3 in decreasing order. u, -3, -8 Let q = -1080956/77 - -98270/7. Let d(c) = -2*c**2 - 4*c - 2. Let a be d(-2). Put 0.04, a, q in ascending order. a, 0.04, q Let c = -22867/11 - -2079. Put c, -7, -4, 2, 1/7 in increasing order. -7, -4, 1/7, c, 2 Let b = 22 + -21.6. Suppose 3*r + 335 + 229 = 0. Let s = r - -9963/53. Put 0.5, s, b in increasing order. s, b, 0.5 Let t = -218.953 + 219. Let h = -1.147 + t. Sort h, -1/8, -4 in increasing order. -4, h, -1/8 Suppose -3*a = n + 7 - 1, 0 = -4*n + 2*a - 52. Put -3, 16, n, -1 in decreasing order. 16, -1, -3, n Let w = -8464 + 8408. Sort -5, 3, w in ascending order. w, -5, 3 Let r(n) = -n**2 + 6*n. Let g be r(6). Let p = -570 + 566. Sort 1, g, -10, p. -10, p, g, 1 Let a = -218 + 219. Let x = 0.1 - -0.2. Sort x, a, 6/5, -3/2 in increasing order. -3/2, x, a, 6/5 Suppose -27*k + 187 = -r - 29*k, 5*r + 2*k = -927. Sort 2, -3, r in increasing order. r, -3, 2 Suppose 0 = 4*l + 5*k + 15, -l - k - 3 - 1 = 0. Let v = -265.9 + 124.7. Let q = v - -141. Sort q, 3, l in decreasing order. 3, q, l Let j(f) = -f**3 - 8*f**2 + 13*f - 71. Let i be j(-10). Sort 48, i, -2, 10 in decreasing order. 48, 10, i, -2 Let b(w) be the first derivative of -34*w**3/3 - 3*w**2/2 + 3*w + 93. Let n be b(1). Sort n, 4, 3 in increasing order. n, 3, 4 Let v be (-124)/((3/27)/((-3)/6)). Let a = v - 566. Suppose 0 = -5*l + 2*r + 21, 0*r = -l + 4*r - 3. Sort a, l, -3 in descending order. l, -3, a Suppose 0 = 54*x + 3299 + 3181. Sort -5, 0, x in descending order. 0, -5, x Let q(m) = 5*m - 18. Let y be q(5). Let w be 100/(-140) - 2/y. Let p = 1 - 0. Sort w, p, 5 in decreasing order. 5, p, w Let j(c) = -c**3 - 5*c**2 + 23*c - 7. Let s be j(-8). Let k(x) = -2*x**3 + 5*x**2 - 3*x + 1. Let l be k(s). Sort -4, -5, 10, l in increasing order. -5, -4, l, 10 Let g be (-16)/(-105) + (-2)/7. Let a = 0.162 + 0.028. Let r = a - -0.31. Put 2, g, r in decreasing order. 2, r, g Let y = 3 + -2. Suppose 4*r = -3*q + 3 - 27, 0 = 3*r + 7*q + 75. Put r, 4, y, -10 in decreasing order. 4, r, y, -10 Let f = 0 - 0. Suppose 7*z - 11*z - q = 1094, 0 = 2*z + 2*q + 544. Let j = -1374/5 - z. Put -0.7, f, j in decreasing order. f, -0.7, j Suppose -137*k - 150 = -212*k. Let j(p) = -p - 8. Let y be j(-12). Sort y, -2, k, 7 in decreasing order. 7, y, k, -2 Let q = 24499 + -24498.35. Sort -8/7, q, 2 in increasing order. -8/7, q, 2 Let h be 1 - (1 + (-4)/(-6)). Let l = 0.9 - -123.1. Let u = l - 119. Sort 1/3, u, -0.1, h in increasing order. h, -0.1, 1/3, u Let i = -7050 - -63484/9. Sort -0.4, -2, i, 0.4 in ascending order. -2, -0.4, 0.4, i Let r = 529/1251 - -3/139. Let w be ((-1400)/12)/(-25)*2/(-7). Sort r, w, 4, -13 in ascending order. -13, w, r, 4 Let j be 70/24 + (-12)/27*3. Let q = 11/6 - j. Sort q, 0.05, -5, -4. -5, -4, 0.05, q Suppose -6*u + 2*u - 20 = 0. Suppose -2*o - 17 = -7*m + 6*m, -5*m = -o - 85. Let b = 21 - m. Sort 2, u, b in decreasing order. b, 2, u Suppose -299*h = -320*h - 84. Put h, 338, -2 in descending order. 338, -2, h Let y = -48551 - -48561. Suppose s = 1 + 3. Sort s, y, 3 in decreasing order. y, s, 3 Let d = 74 - 69. Suppose 5*g - d*u + 14 = 69, -5*g - 5*u + 15 = 0. Let b be 3/(-2)*(3 + (-4)/(-12)). Sort g, 5, -3, b in ascending order. b, -3, 5, g Let p(i) = i**3 - 3*i**2 - 5*i - 22. Let c be p(5). Suppose 0 = c*k - k - 4, -2*f + 4*k - 8 = 0. Sort 5, f, -16 in increasing order. -16, f, 5 Let a = 1171 - 1170.8. Let c = 0.74 - -0.16. Let p = c + 0.1. Put 12, a, p in descending order. 12, p, a Let b be (2/6*9)/3. Suppose 4*j - 3*w = 5, 2*j - w + 0 = b. Let c = 4 - j. Put 2/9, 0.5, c in increasing order. 2/9, 0.5, c Let g(d) be the third derivative of d**4/24 + 10*d**3/3 + 72*d**2. Let z(f) = -f - 11. Let j be z(9). Let x be g(j). Put -15, x, -4 in decreasing order. x, -4, -15 Let g be (64 + -3)/(1/7). Let k = g + -426. Put k, 4, 13, 2 in decreasing order. 13, 4, 2, k Let a(v) = v - 4. Let g be a(4). Put g, 4, 59 in decreasing order. 59, 4, g Let j(g) = -168*g - 336. Let a be j(-2). Suppose 0*i = 2*i - 40. Suppose -6*y + i = -2*y. Sort y, a, -1, -4 in increasing order. -4, -1, a, y Let w(c) = c**3 + 11*c**2 - 22*c + 4. Let m be w(-12). Sort m, 5, -2 in descending order. m, 5, -2 Let f = -10742.5 + 10743. Sort -0.02, -0.112, f. -0.112, -0.02, f Let d = 18.9 - 23.9. Sort -15/8, 4, d, 0.3. d, -15/8, 0.3, 4 Let r be 3/(6/48 - (-33)/24). Suppose 0 = r*y
{ "pile_set_name": "DM Mathematics" }
is the tens digit of a? 3 Suppose a = -a + 480. Suppose 2*x - 41 = 9. Suppose -4*y + 310 = 2*h, 5*h + a + x = 3*y. What is the tens digit of y? 8 What is the tens digit of (17/5)/((-6)/(-30180))? 0 Let h(v) = -v**3 + v**2 + 2*v + 486. Let p be h(0). Suppose 3*u - 21 - p = 0. What is the units digit of u? 9 Let a(i) = -i**2 - 10*i + 12. Let o be a(-11). Let w be (1 + o)/((-11)/(-22)). Suppose -10*c + w*c = -468. What is the tens digit of c? 7 Let s = -89 - -91. Suppose 640 = 3*i + s*z - 0*z, 4*z - 638 = -3*i. What is the units digit of i? 4 Let l = -230 - -250. What is the units digit of ((-456)/l)/((-24)/540)? 3 Let y = 10610 - 5106. What is the units digit of y? 4 Let w(t) = -3*t**2 + 18*t - 47*t + t**3 - 3 - 4 + 22*t. Let h be w(5). What is the units digit of 154/h - (-3)/(-12)? 9 Let q(z) be the first derivative of -25*z**2/2 - 49*z - 14. What is the hundreds digit of q(-43)? 0 Let b = 79703 + -11734. What is the ten thousands digit of b? 6 Let x = 339 - 339. Suppose -b = -4, x = -4*h - 5*b + 1624 + 156. What is the units digit of h? 0 Suppose 9*j + 4*x = 4*j - 380, 2*x + 310 = -4*j. Let r = 210 + j. What is the units digit of r? 0 Let g(m) = -154*m + 3. Let q(r) = 2*r + 19. Let f be q(-10). What is the hundreds digit of g(f)? 1 Suppose 0 = -4*h + 3*l + 15, l = -8*h + 3*h - 5. Suppose -9*k + 11*k - 734 = h. What is the units digit of k? 7 Let n(x) = 41*x**2 - 14*x - 14. Suppose 9*j - 20*j - 22 = 0. What is the tens digit of n(j)? 7 Suppose -1 = -4*b + 11. What is the hundreds digit of b/(-6) - 1875/(-6)? 3 Suppose 50*f - 8759 = 40*f + 25391. What is the hundreds digit of f? 4 Let i(j) = -j**2 + 35*j - 97. Let f be i(3). What is the units digit of (-451 + (4 - f))/(-1)? 6 Let l = 6 - 4. Let z(t) = 11*t**2 + 6*t + 2. Let q(p) = 3*p. Let o(n) = -3*q(n) + z(n). What is the tens digit of o(l)? 4 Let n(w) = w**2 + 17*w - 26. Let r be n(-20). Suppose 0 = 5*i + r - 439. What is the units digit of i? 1 What is the ten thousands digit of (600/16)/75 + 23141/2? 1 Let v = 1238 - 685. Let z = v - -290. What is the tens digit of z? 4 Let w(d) = -d**3 - d**2 + 6*d + 5. Let z = 22 - 25. Let r be w(z). What is the units digit of 3/(-15) + 891/r? 8 Let x(z) = 7*z**3 + 59*z**2 + 64*z - 199. Let i(k) = 4*k**3 + 30*k**2 + 33*k - 100. Let g(d) = -5*i(d) + 3*x(d). What is the hundreds digit of g(-25)? 4 Let j(q) = 49*q + 9748. What is the hundreds digit of j(29)? 1 Suppose -127*j = -20*j - 1287852. What is the thousands digit of j? 2 Let k(y) = y**3 + 27*y**2 - 19*y - 77. Let o be k(-13). Suppose 2*s + o = 2*g, 4*g - s - 5120 = -57. What is the hundreds digit of g? 2 Let y(x) = -x**2 - 13*x + 66. Let r(w) = -2*w**2 - 26*w + 132. Let g(o) = -3*r(o) + 5*y(o). What is the units digit of g(-21)? 2 Let r = -2821 + 4388. What is the units digit of r? 7 Let i(h) be the third derivative of -h**5/30 + 5*h**4/6 - 7*h**3/2 + 3*h**2 - 5. What is the units digit of i(8)? 1 Suppose 21*c + 4278 = 20*c + 5*g, 8563 = -2*c + 3*g. Let n = -2898 - c. What is the thousands digit of n? 1 Let z = 1023 - 269. What is the hundreds digit of z? 7 Let n = 14591 - 5328. What is the thousands digit of n? 9 Let i(n) = -2*n**3 + 46*n**2 + 3*n - 8. What is the hundreds digit of i(7)? 5 Let k = -413 - -650. What is the hundreds digit of k? 2 Suppose 171*h - 24 = 179*h. What is the units digit of ((-1)/2 - 1)*134/h? 7 Suppose -s - 8*n + 25554 = 7751, 5*n = -4*s + 71023. What is the thousands digit of s? 7 Let h be ((-4)/8)/(3*1/204). Let y(z) = z**2 + 14*z + 32. What is the hundreds digit of y(h)? 7 Let d(n) = 39*n**3 - 8*n**2 - 82*n + 598. What is the ten thousands digit of d(7)? 1 Let v(m) = -8*m - 102. Let l be v(-13). What is the units digit of (-6 - -289) + -2 + l? 3 Suppose 49*w - 47971 = 38*w. What is the thousands digit of w? 4 Suppose -5*i - 15 - 10 = 0. Let a(p) = -42*p + 49. What is the hundreds digit of a(i)? 2 Let v = 31 + -22. Suppose -v*t + 615 = -1068. Let i = -25 + t. What is the hundreds digit of i? 1 Suppose -12*g = -11*g - 1, -11 = 4*s - 3*g. What is the hundreds digit of 151 + s + 3 + (-5 - -6)? 1 Let m = -42 - -75. Suppose 5*t - 2*f = -140, 5*t = -3*f - 107 - m. Let w = 2 - t. What is the tens digit of w? 3 Let q(y) = 3*y**2 - 39*y + 458. What is the units digit of q(34)? 0 Let b(r) = -3*r + 4*r + r**2 + 264 - 292. What is the tens digit of b(-7)? 1 Suppose 5*h = -4*h + 18. Let s be (-5*4/(-60))/(h/24). Suppose -x + 237 = s*x - 2*u, 0 = 2*x + 2*u - 92. What is the units digit of x? 7 Let n(l) = l**2 - 23*l + 84. Let u be n(19). Let b(z) be the second derivative of z**5/20 - 2*z**4/3 + 3*z**3/2 - z**2/2 - z. What is the tens digit of b(u)? 7 What is the hundreds digit of 2*(-36158)/(-8) + ((-407)/22)/37? 0 Suppose 5*n + 5*g = 13847 + 66368, 3*g + 16019 = n. What is the tens digit of n? 3 Let c = 59189 - 41010. What is the ten thousands digit of c? 1 Let q be 4 + 2*2/(-4). Suppose -29*g + 30*g = q. Suppose 2*r - 4*v - v - 428 = 0, g*r + 3*v = 642. What is the hundreds digit of r? 2 Let r = -56377 - -88497. What is the units digit of r? 0 Suppose -15*i - 25800 = 19*i - 42*i. What is the hundreds digit of i? 2 Suppose -u = 3*n - 83, -3*u + 231 = -4*n + 47. Let g = -15 + u. What is the units digit of g? 3 Let x = 70 + -75. Let k be -1*2/x + 83/5. Suppose 10*w - k*w = -651. What is the tens digit of w? 9 Let h(v) = v**3 - v**2 - 24*v + 25. Let p be h(10). Let a = -266 + p. What is the hundreds digit of a? 4 What is the tens digit of (-8)/(-18) + -5*(-25518)/270? 7 Suppose 0 = 3*r - 8*r - 25, 4*f = -2*r - 50. Let b = -3 - f. Suppose 0*w - b*w = -175. What is the tens digit of w? 2 Let c = 81272 - 44555. What is the thousands digit of c? 6 Suppose -29 + 14 = -3*h. Suppose 67 = -f + 5*s - 82, -h*s = -2*f - 318. Let c = 345 + f. What is the units digit of c? 6 Let d = 28 + -24. Let h be (-7 - -9)/((-1)/d). Let r(z) = z**3 + 9*z**2 + 4*z + 2. What is the units digit of r(h)? 4 What is the tens digit of (-4 + 664/(-12))*-30? 8 Let x = 11457 - 469. What is the ten thousands digit of x? 1 Let l be 8/((-32)/(-9836)) + (-5)/1. Suppose 2*g = 5*g - 9, -3*d + l = g. What is the hundreds digit of d? 8 Let l be 4*(7 - (3 + 1)). Suppose -5*g = 16*f - l*f - 2257, -2*f + 1148 = -4*g. What is the hundreds digit of f? 5 Suppose -25 = -3*b + 5*n, 5*b + 5*n = -14 - 11. Suppose b = -4*r + 6*r - 618. What is the tens digit of r? 0 Let g be (-8)/6*6/(-4). What is the units digit of (g + (-42)/9)*(-1218)/8? 6 Suppose -3*q - 12*h + 12965 = -7*h, -q + h + 4311 = 0. What is the thousands digit of q? 4 What is the hundreds digit of ((-4)/5 + (-24084)/180)*-15? 0 Let z = -16039 - -30233. What is the thousands digit of z? 4 Suppose 0 = d - 3*m - 31463, 4*d - d = -5*m + 94473. What is the units digit of d? 1 Suppose 0 + 128 = 4*y. Suppose 5*j = 3 + y. Let s = j + 4. What is the tens digit of s? 1 Let y be -8 + -446 + -10 + 2. Let d be (-3 + 2)*(181 - 0). Let x = d - y. What is the tens digit of x? 8 Let x(h) be the second derivative of -31*h**4/12 + h**3/3 - h**2 - 6*h. Let a be x(1). What is the units digit of 2 + (-5 - -3) - a? 1 Suppose 143*b + 49150 = 153*b. What is the hundreds digit of b? 9 Let u = -37546 + 54246. What is the tens digit of u? 0 What is the tens digit of 8/(-14)*(-71065 - -120)? 4 Let g = 22023 - 8951. What is the ten thousands digit of g? 1 Let v = 6903 - 3593. What is the thousands digit of v? 3 Let y(h) = h**3 - 13*h**2 - 23*h - 12. Let q be y(23). Let w = q - 3307. Suppose 428 + w = 10*j. What is the tens digit of j? 8 Suppose s + 997 = 2*x, 4*x - x = 3. Let t = s + 1112. What is the hundreds digit of t? 1 Let l(n) = -32*n**3 - 61*n**2 - 16*n + 23. What is the tens digit of l(-9)? 5 Suppose -4*j = -9*j + 375. Let k = j + 14. Suppose 2*p = 25 + k. What is the tens digit of p? 5 Let m be 226/8 + 19/(-76). Suppose m = 4*o + 96. Let a(n) = 2*n**2 + 25*n + 10. What is the tens digit of a(o)? 6 Suppose -8*v + 162 = 18. Let d be 3/v*34 + 2/6. Suppose -100 = -d*c + 116. What is the units digit of c? 6 Let s = 3318 + -2986. What is the units digit of s? 2 Let x(w) = 5*w**2 + 4*w**2 + 10*w**2 + 3 - 22*w**2 - w + 107*w**3. What is the tens digit of x(1)? 0 Let x be (-4)/6 + (-957)/(-99). Suppose -4*y + 3*c + 1156 = 0, x*c - 12*c = 3*y - 867. What is the units digit of y? 9 Suppose 0 = r - 4*g +
{ "pile_set_name": "DM Mathematics" }
t m(o) = -9*o**3 - 2*o**2. Let p(w) = 69*w - 347. Let i be p(5). Let y(f) = -91*f**3 - 21*f**2. Determine i*y(b) + 21*m(b). -7*b**3 Let y(m) = m**2 + 2*m + 22. Let o(q) = -q - 3. What is 14*o(r) + 2*y(r)? 2*r**2 - 10*r + 2 Let w(c) = -7*c**3 + 5*c**2 - 45*c + 30. Let z(j) = j**3 - j**2 - 5. What is -w(f) - 6*z(f)? f**3 + f**2 + 45*f Let h(o) = -5*o. Let j(x) = 3*x - 4. Let b be j(2). Let r(d) = 2 + d**2 - b + 3*d + d. What is -2*h(l) - 3*r(l)? -3*l**2 - 2*l Suppose 2*o = 10, 5*l + 0*l + 4*o = 35. Let f(h) = -5*h + 2 + l - 5. Let w(a) be the first derivative of 8*a**2 - 1. Calculate -10*f(k) - 3*w(k). 2*k Let o(u) = -3*u + 1. Let x(y) = y**3 - y**2 - 6*y + 2. Let z(p) = -2*o(p) + x(p). Let m(f) = -f**3 + 5*f**2 + 1. Calculate m(t) + 4*z(t). 3*t**3 + t**2 + 1 Let t(s) be the first derivative of -s**3/3 - 5*s**2/2 - 5*s + 62. Let x(c) = -3*c**2 - 18*c - 18. Give 18*t(b) - 5*x(b). -3*b**2 Let x(w) = -2*w**3 + w**2. Let u(a) = -11. Let l(k) = -4. Let n(h) = -3*l(h) + u(h). Calculate -2*n(c) - x(c). 2*c**3 - c**2 - 2 Let y(d) = 6*d**3 - 4*d**2 - 4*d + 4. Let g(x) = 7*x**3 - 5*x**2 - 5*x + 5. Let m(n) = 4*n**2 + 61*n + 20. Let j be m(-15). Give j*y(w) - 4*g(w). 2*w**3 Suppose 52*c + 114 = 33*c. Let j(g) = 259*g**2 + 77*g + 77. Let k(i) = 20*i**2 + 6*i + 6. Determine c*j(o) + 77*k(o). -14*o**2 Suppose -12*j = -7*j - 265. Let i(z) = 30 - z - j + 24. Let s(a) = -a**2 + a + 1. Give i(h) - s(h). h**2 - 2*h Let c(n) = 3*n - 2. Suppose -3*w = -7*w - 36. Let a(h) = 76*h - 40. Let u(g) = -15*g + 8. Let f(y) = -2*a(y) - 11*u(y). Calculate w*c(j) + 2*f(j). -j + 2 Suppose 13 = -2*o - 13. Let m = o + 12. Let l(x) = 3*x**3 - x**2 + x + 1. Let y(s) = -s**3 + s**2 - s - 1. What is m*y(n) - l(n)? -2*n**3 Let i(y) = 2*y. Let c(k) = 2*k**2 + 9*k + 27. Give c(h) - 4*i(h). 2*h**2 + h + 27 Let m(a) = -127687*a + 1221. Let y(n) = 629*n - 6. Give -2*m(i) - 407*y(i). -629*i Let i be -1 - (-5 + (5 - 3)). Let s(l) = -2*l + 2*l + 4*l - l**2 + 5*l**3 + i + 2. Let x(u) = -u**3 - u - 1. Let j = -1 + 2. Calculate j*s(o) + 4*x(o). o**3 - o**2 Suppose -p + 2 = -2*p. Let f(v) = -6 + v - 2*v**2 + 5*v - 6*v. Let n(t) = t**2 + 3. Give p*f(k) - 5*n(k). -k**2 - 3 Let m(i) = 460*i**3 - 575*i + 575. Let u(t) = -t**3 + t - 1. Calculate -m(o) - 575*u(o). 115*o**3 Let n(q) = -3*q**2 - q + 10. Suppose 31*w + 107 + 110 = 0. Let o(d) = 2*d**2 + d - 7. Calculate w*o(y) - 5*n(y). y**2 - 2*y - 1 Let f(w) = -2*w**2 + 5. Let u(a) = a**2 - 1. Suppose -4*z = p + 14, -2*p - 11 + 7 = 2*z. Let n be 2*-5*(p - 6/4). What is n*u(b) - f(b)? -3*b**2 Let b(y) = -2*y - 4. Let k = -11 - -6. Let w(r) = -3*r - 7. Let t be (30/(-35))/((-2)/7)*1. Give k*b(s) + t*w(s). s - 1 Let r(q) = -31*q - 2. Let k(u) = -6*u. Calculate -4*k(a) + r(a). -7*a - 2 Let x(s) = -s**3 - 2*s + 1. Let q(p) = -2*p - 4. Let h be q(-3). Let v(m) = 2*m + 0*m**3 - 6 + 0*m**2 + 5*m**3 - 2*m + 11*m - m**2. Calculate h*v(t) + 11*x(t). -t**3 - 2*t**2 - 1 Let w(d) = -d**3 - 2*d**2 + 28*d - 2. Let b(k) = 3*k**3 + 7*k**2 - 86*k + 7. What is -6*b(x) - 21*w(x)? 3*x**3 - 72*x Let m(t) = 2*t**2 + 2*t + 2. Let h be (-12)/(-2)*3/9. Let b(l) = l**2 + 16*l. Let q(i) = -3*i**2 + 11*i - 5. Let a(f) = b(f) - q(f). Calculate h*a(v) - 5*m(v). -2*v**2 Let d(h) = -h - 1. Let p(j) = 0*j - 3*j - 10 + 7*j + 23 - 15. Calculate -2*d(t) + p(t). 6*t Let b(u) = u**2 - u. Let c(t) = t**3 - 9*t**2 + 9*t - 1. Let s = -1467 + 1465. Give s*c(k) - 18*b(k). -2*k**3 + 2 Let o(v) = -4 + 0 - 3*v**2 + 4. Let m(s) = -6*s**2. Let g be 4*7/((-21)/(-12)). Let w = 7 - g. Give w*o(l) + 4*m(l). 3*l**2 Suppose 3*s - 7*s + 40 = 0. Let n(w) = -s*w + 6 + 3*w + 5*w. Let c(x) = -1. What is 4*c(d) + n(d)? -2*d + 2 Let n(a) = -7*a**3 + 9*a - 35. Let o(c) = 6*c**3 - 7*c + 36. Give 3*n(t) + 4*o(t). 3*t**3 - t + 39 Let v(q) = 13*q - 5. Let c be -31 - (72/56 - 4/14). Let p(y) = 84*y - 32. Determine c*v(i) + 5*p(i). 4*i Let s(m) be the third derivative of m**6/40 - m**4/8 - m**3/3 + 74*m**2. Let c(n) = 4*n**3 + n**2 - 4*n - 3. Determine 2*c(y) - 3*s(y). -y**3 + 2*y**2 + y Let l(o) = 236*o**3 - 14*o**2 - 14*o - 14. Let z(u) = -79*u**3 + 5*u**2 + 5*u + 5. Determine -5*l(g) - 14*z(g). -74*g**3 Let q(g) = -54*g - 4. Let v(z) = -164*z - 13. Calculate 14*q(u) - 4*v(u). -100*u - 4 Let q(y) = 105*y**3 + 3*y**2 - 3*y + 4. Let f(w) = -w**3 + w**2 - w + 2. Give 3*f(z) - q(z). -108*z**3 + 2 Let o(j) = -79*j**3 + 2*j**2 + 1. Let m(x) = -237*x**3 + 7*x**2 + 3. What is 2*m(l) - 7*o(l)? 79*l**3 - 1 Let z(o) = 32*o - 65. Let g be z(2). Let n(d) = 6*d**3 + 9*d. Let k(r) = -2*r - 1. Let y be k(4). Let t(m) = -m**3 - m. What is g*n(a) + y*t(a)? 3*a**3 Let u(p) = p**2 - 2*p**2 + 6*p**2 - 4*p**2 + 5*p - 6. Let i(n) = n**2 + 4*n - 5. What is -4*i(d) + 3*u(d)? -d**2 - d + 2 Let q(z) = -172*z - 2. Let b(v) = -85*v. Give 5*b(p) - 2*q(p). -81*p + 4 Let w(c) = -2*c**2 + c - 5. Suppose 5*s + 9 = h + s, 3*s = 3*h. Let q(j) = 2*j**2 - j + 4. Calculate h*q(g) - 2*w(g). -2*g**2 + g - 2 Let f = 838 + -839. Let c(v) = v**2 - v + 1. Let r(p) = 3*p**2 - 7*p + 3. Calculate f*r(s) + 5*c(s). 2*s**2 + 2*s + 2 Let q(y) be the second derivative of -y**4/3 + y**3/3 - y**2/2 - 5*y + 28. Let v(t) = -4*t**2 + t - 1. Give 2*q(o) - 3*v(o). 4*o**2 + o + 1 Let k(v) = 3*v - 8*v + 2*v + v**3 + 3. Let c(x) = -x**3 - x**2 + 7*x - 7. Let b(h) = -h**3 + h**2. Let o(n) = b(n) + c(n). What is 5*k(l) + 2*o(l)? l**3 - l + 1 Let s be 108 + 0 - (17 + -14). Suppose -a + s = 4*a. Let f(i) = 36*i - 21. Let x(j) = -7*j + 4. Give a*x(w) + 4*f(w). -3*w Let a(p) = 1. Let u(c) = -2*c**2 - 3*c + 3. Let t be (5/15*-3)/1. Suppose -f = k - 4, 5*f + 0*k = k + 20. Determine f*a(v) + t*u(v). 2*v**2 + 3*v + 1 Let k(t) = 7*t**3 + 15*t**2 + 5*t + 117. Let d(w) = -3*w**3 - 6*w**2 - 2*w - 59. Give 5*d(x) + 2*k(x). -x**3 - 61 Let w = -640 + 629. Let z(q) = -4*q**2 + 1. Let h(g) = -9*g**2 + 2. Determine w*z(j) + 6*h(j). -10*j**2 + 1 Let y(g) = -9*g - 5. Let v be (-25)/(-5) + (-5 + 15 - 13). Let f(t) = -4*t - 3. Determine v*y(c) - 5*f(c). 2*c + 5 Let m be (-1)/((-2)/(-22))*1. Let t = 6 + m. Let l = -11 + 18. Let f(k) = 4*k**2 - 9*k + 5. Let v(z) = 6*z**2 - 13*z + 7. Give l*f(o) + t*v(o). -2*o**2 + 2*o Let n(m) = 6*m**2 - 3*m - 6. Let d(h) = -23*h**2 + 2*h + 11. Let b(o) = 22*o**2 - 3*o - 12. Let l(i) = 6*b(i) + 5*d(i). Determine 3*l(x) - 8*n(x). 3*x**2 - 3 Let s(i) = -26*i - 16. Let z(a) = 8*a + 5. Determine -2*s(j) - 7*z(j). -4*j - 3 Let o(y) = -5*y**2 - 41*y. Let d(h) = -14*h**2 - 122*h. Give -4*d(p) + 11*o(p). p**2 + 37*p Let q(a) = -11*a**3 + 11*a - 8. Let t(d) = -10*d**3 + 10*d - 7. Calculate -6*q(l) + 7*t(l). -4*l**3 + 4*l - 1 Let p(q) = 2*q**3 - q + 9. Let b(g) = -2*g**3 + g**2 + g - 8. Calculate -4*b(m) - 3*p(m). 2*m**3 - 4*m**2 - m + 5 Let m(i) be the second derivative of -3*i**5/20 + 11*i**4/12 - 3*i**2 + 2*i - 201. Let u(s) = -s**3 + 4*s**2 - 2. What is 6*m(k) - 17*u(k)? -k**3 - 2*k**2 - 2 Let q(j) = 2*j + 1. Suppose -4*o + 3*o - w - 3 = 0, -3*w - 7 = 4*o. Suppose o = 5*m - 18. Let l = -8 + m. Let h(k) = 2*k + 1. Give l*q(t) + 5*h(t). 2*t + 1 Let i(q) = 3*q**2 + q + 2. Let x(s) = -s - 1. Let m be (-4)/((-24)/2)*(6 + 3). Suppose -2 = m*a + 4. Calculate a*x(l) - i(l). -3*l**2 + l Let k be (2 - (3 + 2))*1. Let q(n) = 0*n**3 + 34*n - 4*n**3 - 2*n**3 - 41*n - 5 - 5*n**3. Let i(t) = 6*t**3 + 4*t + 3. Calculate k*q(d) - 5*i(d). 3*d**3 + d Let q(z) = 120*z - 14. Let l(w) = -121*w + 11. Calculate -5*l(d) - 4*q(d). 125*d + 1 Let g(k) be the third derivative of -4*k**5/15 + k**4/6 - 2*k**3/3 - 581*k**2. Let v(x) = -x**2 + x - 1. What is -g(r) + 4*v(r)? 12*r**2 Let o(k) = -54*k - 65. Let z be o(-1). Let b(i) = -5*i - 2. Let g be (2/(-3))/((-2)/(-6)). Let f(r) = -r**2 + 26*r + 11. Determine g*f(l) + z*b(l). 2*l**2 + 3*l Let v(s) = s - 1. Let q(m) = -45*m + 16. Let p(a) = -20*a + 8. Let f(g) = -7*p(g) + 3*q(g). Determine f(t) - 3*v(t). 2*t - 5 Let g(a) = 3*a**2. Let h(c) = 6*c**2. Let n(v) = 5*v - 45. Let b be n(6). Give b*g(u) + 6*h(u). -9*u**2 Let q(m) = 198*m**3 + 5*m**2. Let i(u) = -57616*u**3 - 1456*u**2. Calculate 5*i(y) + 1456*q(y). 208*y**3 Let j(v) = -3 - 21*v - 29*v + 53*v. Let b(c) = -8*c + 8. What is -4*b(q) - 11*j(q)? -q + 1 Let h(c) = -29*c + 1. Suppose 5*v + 5*b - 104 = 3*b, -4*v + 3*b = -97. Let y(n) = 6*n + 3*n - v*n + 6*n. Determine -2*h(o) + 9*y(o). -5*o - 2 Let s be 114
{ "pile_set_name": "DM Mathematics" }
9). What is the third biggest value in j, 3, -3/4? -3/4 Let w = 6280 + -6280.3. Which is the fifth smallest value? (a) 1 (b) 3/8 (c) w (d) 2 (e) 7/2 e Let x = 0.5 + 8. Let l = x + -5.5. Which is the second smallest value? (a) l (b) -4 (c) -3 (d) -3/4 c Let m = 20751 - 20751. What is the second smallest value in 0.4, 276, -1/14, m? m Let q = 20331 + -20334. Let h = -0.09 - 0.11. Which is the smallest value? (a) q (b) -2/21 (c) h (d) -2/23 a Let s = -677.1 + 677. Let g = 0.038 + 0.262. What is the third smallest value in 139, g, s, -4/3? g Let o = 91.76 + -88. Let j = o + 0.24. Which is the smallest value? (a) -4/3 (b) j (c) -2 (d) -11 d Let m = 142.1 + -142. Let t = -52.5 + 66. Let l = 14 - t. Which is the smallest value? (a) 7 (b) l (c) m c Suppose 272 = -5*y - x, -4*y - 4*x = x + 226. What is the biggest value in 2, y, -1? 2 Let m(u) = -u - 3. Let q be m(1). Let f = 519 - 516. Which is the third biggest value? (a) -0.13 (b) f (c) q c Let z = 276.164 + -0.164. Let r = -277.62 + z. What is the second smallest value in r, -4, 4? r Let q = 0.24 - -0.16. Let a be 4/(-3240)*(2 - (-2048)/(-12)). Let w = a - 2/243. What is the biggest value in w, 1, 4/3, q? 4/3 Let g = 195.2 + -194.7. Which is the second smallest value? (a) g (b) -5 (c) -0.1 (d) -1/4 (e) -1.7 e Let q = 164.95 - 165. Suppose -f - 1 = 3. What is the smallest value in q, 3, f? f Suppose -3*h - 308 = -7*h. Let q = 13/322 - 223907/2898. Let b = q + h. What is the third smallest value in 2, 1, b? 2 Suppose 5*g + 2*z - 9 = 4*g, -10 = -4*g + 5*z. Let b = -2.972 + -1.028. What is the third biggest value in g, -1/2, b? b Let m = -24932.96 - -24137. Let w = 796 + m. What is the biggest value in w, 5, 4? 5 Let k = 585/358 + -24/179. What is the third smallest value in 0, -67, -2/9, k? 0 Let j be -1*(1 - 2) + 408/(-357). Which is the fourth smallest value? (a) 0.4 (b) 3/7 (c) -0.0669 (d) j b Suppose -2*f - 7*f = 0. Let x be ((-18)/(-12) + -2)*4/(-90). What is the second smallest value in -5, f, x? f Let n = -0.471 - -1.251. Which is the fourth smallest value? (a) -4 (b) n (c) 3 (d) -0.2 c Suppose 5*j = 5*x - 3*x + 21, 0 = -3*x + 6. Let m(g) = -4*g**2 + 22*g - 8. Let n be m(j). Which is the biggest value? (a) n (b) 6 (c) 0.6 b Let x(j) = -2*j**3 - j - 4*j**2 + 2*j**2 + 0*j**3. Let f be x(-1). Let n = 1802.97 + -1803. Which is the third smallest value? (a) f (b) n (c) -2/7 a Let s = -8413.6 + 8414. Which is the third smallest value? (a) -0.4 (b) 19/3 (c) 1 (d) 3/4 (e) s d Let s = 3 + -3.2. Let r = -0.36476 + -0.03524. Which is the smallest value? (a) 2 (b) s (c) r (d) 0.033 c Let w = 48 - 53.3. Let y = 5 + w. Let h = -1.7 + y. Which is the third smallest value? (a) h (b) 1 (c) 0.5 (d) -0.2 c Let t = 0.08302 - -0.21698. Let s(g) = g**3 + 9*g**2 - 12*g - 25. Let v be s(-10). Which is the biggest value? (a) t (b) -2/5 (c) 1 (d) v c Let g = -309/5 + 185/3. Let v = -4 - -3.6. Let l = -247 + 246. What is the third smallest value in g, v, l, -0.5? v Let j = -5 - -1. Let p = -1230 + 1281. What is the smallest value in p, j, 2/3? j Let h = 5170/3 + -1723. What is the smallest value in 67, h, -1/2? -1/2 Let w = 363 + -359. Suppose 0 = w*f + 6 + 26. Which is the fourth smallest value? (a) f (b) -1 (c) 0 (d) 0.1 d Suppose 2 = -j - 18. What is the third smallest value in -1, 2/9, j? 2/9 Let p = -13156.6 - -13157. Let w = -1 - -1.1. Let n = w + -0.5. Which is the second smallest value? (a) -4/5 (b) p (c) n (d) -5 a Let f be ((-4356)/25410)/((-5)/35*(5 + -2)). Let x be 2/2*(-1)/2. What is the third smallest value in x, -0.101, f? f Let g = 474324 - 474319. Let v = -1 + 1.5. Which is the second biggest value? (a) -0.1 (b) 24 (c) v (d) g d Let l be (290/35 - -1) + -11 + 2. Let n = 0.2 - -0.3. Which is the second biggest value? (a) l (b) -2 (c) n (d) 8 c Let u(l) = -7*l**3 - 6*l + 18. Let m be u(3). Let q = -191 - m. Which is the third biggest value? (a) -11/3 (b) q (c) 2/7 (d) 5 b Let j = 479 - 483. What is the smallest value in 0.3, 2/181, j? j Suppose -5*z = -5*v - 10, 3*v + 6*z = 2*z + 22. Let a be (-2)/6*(-6)/(-16). Let r = 11 - 11.4. What is the fourth smallest value in r, -4, a, v? v Let n = -8 + 8.3. Let o = 5409 - 5411. Let m = 0.7 + 0.8. What is the third smallest value in o, n, m? m Let k = 23397178/205 + -114132. Let m = k - -1/41. Which is the third smallest value? (a) m (b) 0 (c) -4 a Suppose 415*y - 3*s = 411*y - 6, -5*y = 5*s - 10. Which is the second biggest value? (a) -3 (b) 1.2 (c) y (d) -5 c Let o = 0.20754 + -35.90754. Which is the third biggest value? (a) -1/6 (b) 6 (c) -3 (d) o c Let c = -0.4 - -0.3. Let f be (-12)/(-42)*(-1176)/(-21) + -13. Let l = -0.3 + 0.35. What is the second biggest value in l, -3/7, f, c? l Suppose 66*t + 105 = 65*t. Let v be ((-3)/(-8))/(t/(-28)). Let d = 8.3 + -8. Which is the third smallest value? (a) v (b) 4 (c) d b Let m = -32530 - -32529.9. Let r = 0.7 + -0.2. What is the second biggest value in -6, m, r, -0.2? m Suppose 23 = -5*r - 22. Let x = 17 + r. Let j = -0.188 - -1.188. What is the biggest value in 0.3, x, 2/11, j? x Suppose g + 17 - 13 = 0. Let s = -1608 - -1605. What is the second smallest value in g, 24, -0.06, s? s Let p = -89.9 - -88.8. Which is the smallest value? (a) 2/29 (b) p (c) 1 b Let g be (115/10)/((-2)/12). Let x = 70 + g. Which is the fourth biggest value? (a) x (b) -3 (c) -1 (d) 2 b Let j = 63 + -69. Let f = 11 + j. Let t be -1*((-3)/(-7) - 0). Which is the third biggest value? (a) t (b) f (c) -4 c Let z = 213.14 + -203.14. Let l = -7.5 - -8. What is the biggest value in z, l, -1/6? z Suppose 3*m - 2*m = 0. Let o be (m + -2)/(14/(-4)). Let z = -2.75 - -2.75. Which is the biggest value? (a) 2 (b) z (c) o a Let r = 155 + -311/2. Let i(l) = -l**3 - 11*l**2 + 16*l + 53. Let z be i(-12). Which is the smallest value? (a) r (b) -40 (c) z b Let s = -936.8 - -937.6. What is the third biggest value in -188, s, -5? -188 Let n = 5.7 - 5.737. Let f = 157.1 + -158.137. Let v = f - n. Which is the fourth smallest value? (a) 7 (b) 4 (c) v (d) 2/5 a Let m be 2/(-48) + (-1)/3. Let v = 23174.5 - 23175. What is the biggest value in 2, m, v, -3? 2 Let y = -2.7 + 1.7. Let k = 0.78 + y. Let f = 19 + -59/3. Which is the smallest value? (a) k (b) f (c) -0.1 b Let i = 278.7 + -278.5. What is the biggest value in -17.7, 0.3, i, -2/5? 0.3 Let h = 6 - 8. Let p = 1555/8 - 194. Let x be (-3)/(-54) - 4/18. What is the second smallest value in h, x, p? x Let g = -0.29 - -0.29. Let d(q) = q**3 - 3*q**2 + 2*q. Let l be d(3). Let n = -194.4 - -194. What is the third biggest value in g, n, l? n Let o be (-14)/161 - 33/414. Suppose 47*g = 42*g + 5*k - 35, 4*g + 3*k + 7 = 0. Let s = 0 + 1. Which is the second smallest value? (a) s (b) g (c) o c Let a = 166/9 - 163/9. What is the second smallest value in 0.4, 68/5, -5, a? a Let r = -392 - -392.4. Let u = -66/13 - -331/78. Which is the smallest value? (a) 5 (b) r (c) u c Let u be (4 + -5)*2/4 - (-43)/172. Which is the second biggest value? (a) 1 (b) -6 (c) u (d) 0 (e) -4 d Let q = -133 + 134.8. Suppose 3*h - 65 = x - 18, 0 = -4*x + 4. Suppose -8*w - h = -12*w. What is the fourth biggest value in q, -5, w, 0.3? -5 Let l = 390 - 393. Which is the smallest value? (a) -5 (b) -15 (c) -45 (d) l c Let v = -7828 - -7827.8. Which is the third biggest value? (a) 1469 (b) 4 (c) v c Let a be (-5)/((-50)/(-6))*(-5 - 3900/(-756)). What is the third biggest value in 3, -0.38, -2/7, a? -2/7 Let z = 15762 - 15692. Which is the third smallest value? (a) -12 (b) z (c) 4 (d) -5 c Suppose 299*y = -22 + 919. Let q = -4 + 3. What is the second biggest value in q, y, -2/25? -2/25 Let w = 3605 - 3605. Which is the fourth biggest value? (a) -0.3 (b) w (c) 1.3 (d) -3/2 d Let h = -0.661 + 1.161. Suppose 2*i + 12 = -2*r, r - 3*r - 4 = 0. What is the second biggest value in h, 2, i, -15? h Let h = 17672.09 + -17572. Let g = h + 0.91. Let w = -101 + g. Which is the second biggest value? (a) -1/2 (b) 1 (c) w (d) -3 c Let f = 0.2 - 3.2. Let y = 371 - 383. What is the biggest value in y, 2, f? 2 Let k = -22.4 - -22. Let s = -0.1 - 0.07. Let n = s - 2.83. What is the third smallest value in n, k, 4? 4 Let a = -1.53 +
{ "pile_set_name": "DM Mathematics" }
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