text
stringlengths
270
8.19k
meta
dict
15*l - 7. Give p(-4). 53 Let q(d) = 12*d + 7. Determine q(-6). -65 Let d(z) = z**2 - 5. What is d(0)? -5 Let c(q) = -q**3 - q + 18. Determine c(0). 18 Let j(f) = 2*f**2 - 27*f - 19. Determine j(14). -5 Let p(u) = u**3 + 2*u**2 + 7. What is p(-3)? -2 Let g(l) = l**3 + 14*l**2 - 6. Determine g(-14). -6 Let q(x) = -x**2 + 13*x + 96. Give q(17). 28 Let b(k) = 4*k**2 + 67*k - 21. What is b(-17)? -4 Let c(t) = -4*t + 8. Calculate c(-12). 56 Let w(t) = -t**3 - 25*t**2 + t + 12. Determine w(-25). -13 Let f(i) = 2*i - 21. Give f(16). 11 Let c(k) = -2*k**2 + 6*k + 18. What is c(6)? -18 Let t(m) = -m**2 - m + 6. Give t(0). 6 Let z(t) = t - 16. Give z(12). -4 Let y(g) = g**3 - 16*g**2 + 3*g + 9. Give y(16). 57 Let q(b) = b**2 - 17*b - 15. What is q(15)? -45 Let f(a) = -4*a**2 + 130*a + 70. Give f(33). 4 Let y(b) = 16*b + 62. Calculate y(-4). -2 Let b(l) = l**3 + 7*l**2 + 7*l + 6. Calculate b(-4). 26 Let b(t) = -t**3 + t**2 + 9*t + 8. What is b(4)? -4 Let b(u) = u**2 - 14*u + 7. Determine b(6). -41 Let y(a) = -a**2 - 2*a + 5. What is y(3)? -10 Let s(k) = -k**3 - 14*k**2 + 14*k - 16. Calculate s(-15). -1 Let z(t) = -3*t**3 + t**2 - t + 3. What is z(2)? -19 Let j(r) = r**3 + 18*r**2 - 40*r + 25. What is j(-20)? 25 Let j(c) = -c**2 - 14*c + 55. What is j(-17)? 4 Let y(w) = 4*w - 10. Calculate y(3). 2 Let v(g) = g**3 + 3*g**2 - 5*g - 6. Calculate v(-4). -2 Let k(j) = 3*j - 30. Give k(16). 18 Let a(f) = -f**3 + 21*f**2 - 38*f + 21. Give a(19). 21 Let w(h) = -h**2 - h - 20. Calculate w(0). -20 Let u(t) = -2*t. What is u(10)? -20 Let z(h) = 33*h**3 - 162*h**2 - 15*h - 4. Give z(5). -4 Let f(w) = 23*w + 47. Calculate f(-2). 1 Let t(k) = -k**3 - k**2 + 4*k + 4. Give t(-3). 10 Let v(i) = i**3 + 21*i**2 - 23*i - 30. Determine v(-22). -8 Let d(c) = -c - 6. Calculate d(0). -6 Let u(m) = 3*m**3 + 5*m**2 + 3*m + 3. Give u(0). 3 Let g(a) = -a**3 - 5*a**2 + 3*a - 2. Determine g(-5). -17 Let u(r) = -r**2 + 12*r + 198. Give u(21). 9 Let h(k) = -k**2 - 9*k - 14. Determine h(-8). -6 Let u(k) = k**3 + 12*k**2 + 4*k + 4. Calculate u(-11). 81 Let k(l) = l**2 - 11*l + 20. Determine k(8). -4 Let q(g) = 10*g - 15. What is q(4)? 25 Let v(l) = -l**2 + 3*l + 4. Calculate v(6). -14 Let x(v) = -v**2 + 44*v - 123. What is x(41)? 0 Let i(t) = t**2 + 8*t + 4. Determine i(-5). -11 Let h(m) = -m**2 - 3*m + 11. What is h(3)? -7 Let c(n) = 10*n + 5. Determine c(3). 35 Let p(f) = -f**2 + 27*f - 148. Determine p(7). -8 Let a(n) = 4*n + 13. Determine a(-6). -11 Let i(b) = -b**3 - 8*b**2 - 9*b - 14. What is i(-7)? 0 Let k(f) = -f**2 - 3*f - 14. What is k(0)? -14 Let l(p) = p**3 - 8*p**2 + 17*p - 5. What is l(5)? 5 Let k(o) = -3*o + 14. Determine k(16). -34 Let r(y) = 3*y**2 + y - 16. What is r(-3)? 8 Let c(g) = -g**3 - 13*g**2 + 13*g - 11. Determine c(-14). 3 Let a(j) = 2*j**2 + 16*j - 3. What is a(-10)? 37 Let f(d) = -d**2 + 14*d + 10. Give f(14). 10 Let y(v) = -v**3 - 3*v**2 + 16*v + 13. Determine y(-6). 25 Let b(g) = -g + 1. Calculate b(6). -5 Let g(o) = -2*o**3 + 7*o - 6. Calculate g(1). -1 Let h(k) = -46*k + 22. What is h(-2)? 114 Let w(d) = 2*d + 49. Calculate w(-26). -3 Let s(i) = -i**3 + 6*i**2 - 4*i + 1. Give s(5). 6 Let w(z) = -2*z**2 - 4*z - 2. Determine w(-3). -8 Let i(f) = f**2 + 11*f + 32. What is i(-6)? 2 Let z(d) = 2*d + 21. What is z(-9)? 3 Let h(k) = k**2 + 17*k + 8. Give h(-14). -34 Let s(r) = 2*r - 14. What is s(8)? 2 Let u(b) = b**3 - 51*b**2 - 57*b + 253. What is u(52)? -7 Let r(q) = -q**2 - 33*q - 3. What is r(-33)? -3 Let l(z) = 4*z**3 - 4*z**2 + 2*z. Determine l(1). 2 Let z(u) = -4*u - 12. Give z(-12). 36 Let m(g) = 6*g + 76. Give m(-18). -32 Let a(q) = 17*q - 137. Determine a(8). -1 Let f(r) = r**3 - 21*r**2 + 19*r + 23. What is f(20)? 3 Let q(b) = 7*b + 242. Give q(-34). 4 Let s(t) = t**3 - 7*t**2 - 8*t + 10. Give s(8). 10 Let f(s) = -2*s**2 - 16*s + 2. Give f(-8). 2 Let n(i) = -12*i**2 - i - 7. What is n(-3)? -112 Let m(x) = -x**3 + 8*x**2 + 15*x - 51. Give m(9). 3 Let z(d) = -16*d - 27. Determine z(-2). 5 Let c(j) = j**3 + 8*j**2 + 3*j - 17. Calculate c(-8). -41 Let y(t) = 2*t**3 - 38*t**2 - 41*t + 56. Give y(20). 36 Let p(w) = -3*w**2 + 152*w + 537. Determine p(54). -3 Let r(b) = -b**2 - 4*b + 15. Determine r(-6). 3 Let l(o) = 5*o - 4. What is l(2)? 6 Let u(h) = -h**2 + 13*h + 48. Give u(16). 0 Let g(i) = 8*i - 30. What is g(-8)? -94 Let y(j) = j**2 + 7*j + 3. What is y(-5)? -7 Let f(o) = o**3 - 29*o**2 + 32*o - 125. Determine f(28). -13 Let w(t) = -t**2 + 9*t + 4. Calculate w(7). 18 Let m(c) = -2*c**2 + 9*c - 7. What is m(6)? -25 Let i(l) = -l**2 + 6*l + 6. Give i(7). -1 Let h(u) = u**3 - 12*u**2 + 29*u - 6. Determine h(9). 12 Let a(k) = k**2 - 11*k + 22. Give a(5). -8 Let f(m) = -m**2 + 10*m + 14. Give f(12). -10 Let j(n) = 58*n + 1. Calculate j(3). 175 Let v(t) = -2*t**3 - t**2 + 2*t - 1. Give v(-2). 7 Let k(m) = -10*m - 1. What is k(1)? -11 Let y(w) = w**2 - 41*w - 31. Give y(42). 11 Let q(r) = -4*r**2 - 67*r + 9. What is q(-17)? -8 Let w(u) = u**3 + 8*u**2 - 11*u - 13. Give w(-9). 5 Let l(a) = -63*a - 446. What is l(-7)? -5 Let n(o) = o**2 + 26*o - 18. Calculate n(-27). 9 Let d(c) = -3*c - 9. What is d(-7)? 12 Let r(m) = -m**3 - 8*m**2 - 9*m + 8. What is r(-7)? 22 Let q(y) = y**3 - 8*y**2 - 12*y + 25. Determine q(9). -2 Let x(r) = -r**3 - 7*r**2 + 13*r + 41. Calculate x(-8). 1 Let b(f) = -4*f - 113. Give b(0). -113 Let s(g) = -g**3 + 4*g**2 - 4*g - 4. What is s(4)? -20 Let p(a) = -5*a**2 - 9*a - 8. Determine p(-3). -26 Let o(k) = 3*k**3 - 3*k**2 - 2*k - 1. Determine o(-2). -33 Let x(a) = 13*a + 96. Calculate x(-7). 5 Let h(t) = -t**2 - 8*t + 47. Calculate h(-12). -1 Let z(f) = 2*f**2 + 4*f - 15. Calculate z(-5). 15 Let h(c) = -31*c**3 - 2*c**2 + 4*c - 2. What is h(1)? -31 Let w(f) = 4*f**2 - 15*f + 9. What is w(5)? 34 Let i(u) = u**2 + 2*u + 4. Calculate i(-6). 28 Let o(y) = -y + 3. Give o(2). 1 Let x(p) = -p**3 - 13*p**2 - 4*p - 10. Determine x(-13). 42 Let h(m) = -7*m + 2. Determine h(-3). 23 Let l(q) = 2*q**2 - 74*q - 65. Calculate l(37). -65 Let z(p) = p**3 - 12*p**2 - 12*p - 22. Give z(13). -9 Let q(u) = u**3 + 8*u**2 - 10*u - 21. Give q(-9). -12 Let a(x) = x**3 - 32*x**2 + x - 36. Give a(32). -4 Let b(z) = z**3 + 7*z**2 + 2*z - 8. Determine b(-5). 32 Let h(i) = 2*i**2 - 6*i - 35. What is h(6)? 1 Let p(u) = -12*u + 37. Calculate p(4). -11 Let d(u) = -u**2 - 7*u + 65. Determine d(-12). 5 Let t(u) = 2*u + 39. Give t(13). 65 Let r(u) = -2*u**2 - 73*u - 37. Determine r(-36). -1 Let t(k) = -k + 1. Give t(-7). 8 Let r(k) = -k**2 - 6*k + 19. What is r(-10)? -21 Let n(z) = z**3 - 6*z**2 + 5*z + 3. Determine n(5). 3 Let n(t) = -t**3 - 13*t**2 - 4*t + 41. Give n(-12). -55 Let b(y) = -y**3 + 20*y**2 - 25*y + 131. Determine b(19). 17 Let j(g) = -g**2 - 13*g + 70. Determine j(-14). 56 Let w(z) = -z - 6. What is w(9)? -15 Let h(a) = a**2 - 8*a + 8. Calculate h(4). -8 Let u(g) = -3*g**3 - 122*g**2 + 46*g + 201. Give u(-41). -4 Let h(v) = -v**3 - 9*v**2 + 9*v - 6. Give h(-10). 4 Let c(p) = -5*p - 33. Determine c(-14). 37 Let t(n) = n**3 - 14*n**2 + 36*n - 23. What is t(11)? 10 Let t(a) = 2*a**2 + 22*a - 22. Calculate t(-12). 2 Let o(f) = f**3 - 9*f**2 - 6*f + 2. What is o(10)? 42 Let q(t) = t**2 - 14*t - 32. What is q(16)? 0 Let b(r) = -r**3 - 10*r**2 - 10*r - 2. Determine b(-9). 7 Let g(h) = -h**3 + 8*h**2 + 8*h + 16. Calculate g(9). 7 Let l(d) = d**2 - 6*d + 6. What is l(6)? 6 Let r(u) = 2*u**2 - 40*u - 234. Calculate r(-5). 16 Let i(a) = -a + 33. Determine i(6). 27 Let a(i) = -i**3 + 30*i**2 - 29*i + 5. What is a(29)? 5 Let j(v) = -v**2 + 30*v - 164. Give j(22). 12 Let c(t) = -2*t - 14. Give c(-5). -4 Let u(h) = -h - 1. Calculate u(-4). 3 Let r(g) = -120*g - 127. What is r(-1)? -7 Let t(q) = -18*q - 114. Calculate t(-6). -6 Let j(q) = -14*q - 126. Determine j(-9). 0 Let u(t) = -2*t**3 - 9*t**2 + 14*t - 2. What is u(-6)? 22 Let g(z) = z**2 + 8*z - 2. Give g(-5). -17 Let x(h) = h**3 + 21*h**2 - 52*h - 128. Determine x(-23). 10 Let p(r) = -r**3 - 3*r**2 - 8*r - 34. Determine p(-4). 14 Let g(j) = j**2 - j - 20. Give g(0). -20 Let m(g) = -g**2 + 27*g - 49. Calculate m(2). 1 Let v(i) = -51*i. Determine v(-3). 153 Let j(h) = h**3 - 6*h**2 + 9*h - 10. Determine j(4). -6 Let g(m) = -m**3 + 2*m**2 + 5*m + 7. Determine g(-3). 37 Let d(u) = -u**3 + 4*u**2 - 9*u + 26. Determine d
{ "pile_set_name": "DM Mathematics" }
Let l = -737/7 + 105. Which is the closest to l? (a) -2/7 (b) -2/3 (c) v a Suppose 0*f + 4*f = -12. Which is the nearest to 2/5? (a) f (b) -1 (c) -5 b Let z = -72 + 70. Which is the nearest to 0.1? (a) z (b) 4 (c) 43 a Suppose -2*s - 1 = -7. Let d be (-2)/1*(4 - s). Let v be (-2)/4*(-1)/(-1). What is the nearest to d in 2, -1, v? -1 Let f = 4.35 - 0.35. Let k = -6 + 10. Let u = f - k. Which is the nearest to u? (a) -1 (b) -0.2 (c) -2/15 c Let j = -0.9 - -1.4. Suppose o = 3*o + 6. Let a = -1 + -1. What is the closest to a in o, j, 0? o Let m = -4344/13 + 334. Which is the nearest to -5? (a) -1/6 (b) 5 (c) m a Let x(k) = 8*k + 2. Let h(d) = 12*d + 3. Let r(m) = 5*h(m) - 8*x(m). Let q be r(-2). Let i = q + -7. Which is the closest to 1/2? (a) 0.5 (b) i (c) -4 a Suppose 0 = -2*r - 2*r + 4. Let h = 27 + -23. What is the closest to -2/3 in r, -2/3, h? -2/3 Let t = -0.03 + 0.43. Let m = 0.4 - 0.1. Let v = t - m. What is the nearest to v in -2, 4, -0.1? -0.1 Let o be (1/6)/((-2)/8). Let u be (-2)/(-6)*72/(-16). What is the closest to 1 in u, 3, o? o Let c = -2.4 - -2. Let n be 5*(1 - 3)*9/108. Let l be 84/135 - 2/9. What is the nearest to l in -4, n, c? c Let b = -7 + 6. Suppose -68 = -5*n + 3*n + 3*l, 5*n - 3*l = 170. Suppose -3*u = 6, u - 12 = 4*z - n. What is the nearest to b in 1, z, 4? 1 Let f(l) = 2*l + 6. Let v be f(-5). Let n = -0.2 - -0.3. Let y = -356 - -359. Which is the closest to n? (a) v (b) 0.4 (c) y b Suppose 0 = -2*r - 4. Let u be (r/(-85))/(1/5). Which is the nearest to -2? (a) -0.5 (b) 0.5 (c) u a Let v = 2.1 - 2. Let d be 4023/39 + (4 - 1). Let z = 106 - d. Which is the closest to v? (a) 0.1 (b) z (c) 2/13 a Let y = 121/92 - 3/46. What is the closest to 0 in 1, y, -6? 1 Let s = -117 - -119. Let q = -2 - -2.4. What is the closest to -2 in q, 0.3, s? 0.3 Let u = -6 - 18. What is the nearest to 2 in 0.2, 2, u? 2 Let p = 61 - 60.9. Which is the closest to p? (a) -4 (b) 1 (c) 2 b Let s = 56 - 51. Which is the closest to -0.8? (a) s (b) -1/4 (c) 0.1 b Let n = 18 + -15. What is the closest to 0.1 in n, 0.4, 0.7? 0.4 Let s = 5.2 + -0.2. Let n = 0.3 - 0.1. Let z = -1.7 + -0.3. Which is the closest to 1? (a) z (b) n (c) s b Let s = 1 - 0.9. Let w = -0.66 + 0.6. Let h = w + -0.94. Which is the closest to s? (a) -0.3 (b) 3/4 (c) h a Let d be 2/(-8) + 120/224. What is the closest to d in 0, 3/5, 4? 0 Let y = -0.128 + 0.028. Which is the nearest to -2/5? (a) 0.03 (b) -2 (c) y c Let p be 2 + -5 + (2 - 0). Let g = 4.14 + -0.14. Which is the nearest to p? (a) 0.4 (b) g (c) 3 a Let u = 1 + 0. Let s = -22/15 - -4/5. Let j = 63 + -253/4. Which is the closest to j? (a) s (b) 1/4 (c) u a Let b = 20 - 16. What is the closest to -0.1 in -2/9, b, 0? 0 Let s = 173.3 - 165. Let v = s - 8. What is the closest to -1 in v, 1, -5? v Let n = -19 + 22. Which is the nearest to -0.3? (a) -2/23 (b) n (c) 2/3 a Let y be (-52)/20 + 1*3. Which is the closest to y? (a) -3 (b) 2/11 (c) -0.4 b Let i = -0.16 - 4.84. Which is the nearest to 1? (a) -2/15 (b) 0.4 (c) i b Let u = 0.21 - 4.21. Which is the nearest to -1? (a) 4 (b) -1 (c) u b Suppose -3*a = 2*c - 13, -6 = -3*c + 3*a + 6. Let i be (-38)/(-6) + 1/(-3). Let s be ((-4)/(-6))/((-10)/i). What is the closest to 0.1 in s, -4/9, c? s Let x = 35.6 + -32. Let g = -0.6 + x. What is the closest to 1 in -3, -4, g? g Let h = -3 - -3.3. Let g = h + -1.3. Which is the nearest to -1/3? (a) g (b) 0.4 (c) 0.1 c Let x = 1.4 - 0.4. Let v = 1 - x. What is the nearest to 1/2 in -2, v, 2? v Let y = -10.4 - -9. Let r = 1.8 + y. Which is the nearest to -2/7? (a) -5 (b) r (c) -2 b Let a = 0.01 + -0.11. What is the nearest to 2 in a, 1, -1/5? 1 Let d = 0 - 0.4. Let j = -0.1 + d. Let k be 2/(0 + 3 - -3). Which is the nearest to 2/7? (a) -5 (b) j (c) k c Let j = 10.4 + -10.6. What is the nearest to 0 in 0.1, 2, j? 0.1 Let p = 0 + 0.4. Let f = p + -0.2. What is the closest to -1 in 2, 0, f? 0 Let a be (1/7)/((-4)/(-8)). What is the closest to a in 6, 1/2, -1/7? 1/2 Let q be (-8)/(-14)*(-6)/8. Let z be ((-6)/(-81))/((-6)/(-9)). Which is the closest to 1? (a) q (b) z (c) 4 b Let y = -12.989 + -0.011. What is the closest to 1/3 in y, 2/5, -5? 2/5 Let a = 5 + -7. Let l = a - 1. What is the nearest to -0.1 in 1/2, -1/4, l? -1/4 Let r = -10.5 - -10.5. Let w = -80 - -479/6. Which is the closest to 2/7? (a) r (b) -5 (c) w a Suppose -2*c + 1 = -3*c. What is the nearest to c in 1/5, 1, 2? 1/5 Let j = -2.9 - -6.9. Let b = -0.3 - -0.4. What is the closest to 2 in j, b, -2/9? b Let u = -19 + 23.1. Let j = -0.1 + u. Which is the closest to 1? (a) 1/11 (b) j (c) 0 a Let f = -0.2 + -0.1. Which is the nearest to 0.1? (a) -2 (b) -6/7 (c) f c Let i = -16.6 + 18. Let v = -0.6 - i. Which is the nearest to v? (a) 0.3 (b) 4/7 (c) 2/17 c Suppose -2*t - 1 = 1. Which is the closest to 2? (a) t (b) -2 (c) -4 a Suppose 3*s - 4*p - 4 = 0, 5 = -4*p - p. Let r be s + -2 + 3/1. Let q = -0.8 + 0.5. What is the closest to r in 0.5, -5, q? 0.5 Let k = 10 - 13. Let g(d) = -d + 3. Let f = 2 + 3. Let t be g(f). What is the nearest to t in 2, k, 0.4? k Let k be 3 + 34*4/(-40). Which is the closest to 0.2? (a) k (b) 2 (c) -4 a Let u = -141.8 - -142. Let y = 5.03 - 0.03. Let o = 0 - 4. Which is the nearest to u? (a) o (b) y (c) -2 c Let l = 25/9 - 26/9. Let i = 25/34 - -5/51. Let h = -3/2 + i. Which is the closest to h? (a) 0.5 (b) 3 (c) l c Let i = -5 + 9. Let u = i - 3.7. Let y = 3 - 2.7. Which is the nearest to y? (a) 0.1 (b) 2/11 (c) u c Let y = 133 - 121.2. Let b = y - 12. Suppose 0 = t + 2*t + 15, -40 = 3*v + 5*t. What is the closest to b in v, 4, 3? 3 Let z(l) = -l**3 - 5*l**2 + 2*l + 12. Let a be z(-5). What is the closest to 0.1 in a, -5, -1/2? -1/2 Let n = -0.16 + 0.06. Which is the closest to 1? (a) 3 (b) 1 (c) n b Let h = 785/9 + -87. Which is the nearest to 2? (a) h (b) -3 (c) -0.4 a Let u = -2.6 + 3. Let j be (-613)/4*(7 - 3). Let i = j - -6737/11. Which is the closest to -1? (a) -2/3 (b) i (c) u a Suppose 5*g + 3 = -7, 0 = -3*p + 3*g + 216. Let j be 125/p - 3/2. What is the closest to j in -1, -4, 3/4? 3/4 Let m = -8.1 + 8. Which is the closest to -0.1? (a) 2 (b) m (c) -1/3 b Let j = -149 - -151. What is the closest to -2/7 in 0.2, -2, j? 0.2 Let c = 0.136 - 0.436. What is the closest to -0.1 in 4, 1/3, c? c Let f be (1 - 1 - 0)*1/(-2). What is the closest to f in 1/2, -5, -3/2? 1/2 Let b = -144 + 718/5. What is the closest to 2/13 in 0.2, b, -0.2? 0.2 Let w = -21 - -21. What is the closest to w in -0.1, -2, -2/13? -0.1 Let r = -2/121 + -359/242. Let k be (-2)/(-9) + (-676)/(-117). Which is the closest to k? (a) 2/15 (b) r (c) 1/9 a Let f = -18 + 13. Let i = f + 4. Which is the nearest to i? (a) 3/7 (b) -0.2 (c) -5 b Let r = 0.54 + -0.5. Let s = -0.14 + r. Which is the closest to s? (a) 2/3 (b) -3 (c) 2/9 c Let k = 0.3 - 0. Let n be (-1)/(-2)*38/(-38). Which is the nearest to n? (a) k (b) -0.1 (c) 1/3 b Let q = -3 + 2.8. Let p = q + 0.3. Let x = 2.7 + -0.7. Which is the closest to 0.1? (a) x (b) 3 (c) p c Let x = -0.253 - 0.147. Which is the closest to -1? (a) 5/9 (b) x (c) 0.2 b Let b = 2/423 - 190/423. What is the nearest to 1/2 in b, -10, 1? 1 Let x = 12.1 + -11. Let v = 1 - x. What is the closest to v in 0.2, 1/3, -2/7? -2/7 Let r = 3 + -2.9. Let u = -9.5 - -11.5. Which is the closest to -1/2? (a) -0.3 (b) r (c) u a Let m = 0.09 + -0.19. Let o = -6 - -5.6. Let w = 0.5 + -1. Which is the closest to m? (a) o (b) -4 (c) w a Let k be (-223)/(-1) + -3 + 0. Suppose -3*n = 2*n - k. Let u = n - 177/4. What is the closest to u in 2, -1, -1/3? -1/3 Let y(h) = h**3 - 7*h**2 + 7*h - 4. Let k be y(6). Let d be k/3 + 64/(-60). Which is the nearest to 2? (a) 2/9 (b) 1/2 (c) d b Let t(x) = 2*x + 23. Let v be t(-10). Let b(z) = -z**2 - 5*z + 8. Let k be b(-6). What is the closest to -2/5 in v, k, 3/2? 3/2 Let x be 0*(6/(-4) + 2). Let u(l) = -l + 3. Let p be u(x). Let w = p - 3. Which is the nearest to -0.1? (a) w (b) 0.3 (c) 0.1 a Let h = 63 + -63.2. What is the nearest to 2 in 0.4, h, -1? 0.4 Let r(n) = -2*n**3 + 2*n - 1. Let f be r(1). Suppose 6*c = 9*c. What is the nearest to f in -0.3, c, 1? -0.3 Suppose -16 = -5*f + 4*b, -8*f + 5*b +
{ "pile_set_name": "DM Mathematics" }
prime number? True Is 4421 prime? True Is 1741517 prime? True Is 770942 prime? False Is 233578 prime? False Is 340211 a composite number? False Is 52709 composite? False Is 69769 a composite number? True Is 14173 prime? True Is 157367 a composite number? True Is 301487 prime? True Is 62119 a prime number? True Is 12203 composite? False Is 130499 prime? False Is 3863 prime? True Is 346618 prime? False Is 10903 a prime number? True Is 983469 composite? True Is 4049 prime? True Is 86063 a composite number? True Is 5077 composite? False Is 682637 composite? False Is 251279 composite? True Is 106999 prime? False Is 11341 composite? True Is 16481 a prime number? True Is 17011 a composite number? False Is 17351 a composite number? False Is 251 a composite number? False Is 128069 prime? False Is 20507 a composite number? False Is 20681 a composite number? False Is 91659 composite? True Is 5941 a composite number? True Is 38939 composite? True Is 6998 composite? True Is 58537 a prime number? True Is 70607 composite? False Is 31 a prime number? True Is 7807 a prime number? False Is 10801 composite? True Is 794497 composite? True Is 3061991 prime? True Is 27731 a composite number? True Is 2899 prime? False Is 3409 prime? False Is 25423 a prime number? True Is 677 a prime number? True Is 553669 composite? True Is 445829 prime? True Is 14005 a composite number? True Is 24403 a prime number? False Is 1693 prime? True Is 744265 composite? True Is 25879 a prime number? False Is 22147 a prime number? True Is 4569 prime? False Is 405211 prime? True Is 145709 prime? True Is 83737 a composite number? False Is 8809 a composite number? True Is 47237 a composite number? False Is 136789 a composite number? True Is 2977 a prime number? False Is 82583 composite? True Is 19921 a composite number? True Is 49157 a composite number? False Is 272969 prime? False Is 922001 prime? False Is 2041 composite? True Is 8147 a prime number? True Is 322511 prime? False Is 218287 a prime number? True Is 298 a composite number? True Is 1344201 composite? True Is 2245 a prime number? False Is 9007 a prime number? True Is 859517 a prime number? False Is 10559 a prime number? True Is 5304811 a prime number? True Is 69847 prime? True Is 98639 composite? False Is 169439 prime? False Is 697367 a prime number? False Is 14939 a prime number? True Is 1292791 a prime number? False Is 133207 prime? False Is 8329 a prime number? True Is 134 composite? True Is 164569 prime? True Is 18637 a composite number? False Is 16943 a composite number? False Is 308699 composite? True Is 1567 a prime number? True Is 221681 a composite number? True Is 9917 a composite number? True Is 22249 composite? True Is 191 composite? False Is 238619 composite? True Is 36251 composite? False Is 67823 composite? True Is 5939 prime? True Is 7233 a prime number? False Is 74281 a prime number? False Is 2748547 prime? True Is 219721 composite? False Is 143345 a composite number? True Is 5903 prime? True Is 607177 a prime number? False Is 463739 prime? False Is 1659787 a prime number? True Is 441445 a prime number? False Is 41081 a prime number? True Is 63634 a composite number? True Is 78107 a composite number? True Is 362081 composite? False Is 15947 composite? True Is 378533 prime? True Is 86441 composite? False Is 1087 a composite number? False Is 2342 composite? True Is 30019 a composite number? True Is 9259 a composite number? True Is 2741 composite? False Is 7331 prime? True Is 1350485 prime? False Is 1012811 a prime number? True Is 21207 composite? True Is 131849 prime? True Is 30655 a prime number? False Is 189461 a prime number? False Is 204937 prime? False Is 4963 a prime number? False Is 14341 a composite number? False Is 2708507 composite? True Is 337343 a composite number? False Is 4531 a composite number? True Is 86351 composite? False Is 207683 a prime number? False Is 10841 prime? False Is 48563 composite? False Is 7613 a composite number? True Is 1357249 a composite number? True Is 12697 a composite number? False Is 76811 prime? False Is 3967 prime? True Is 221021 a prime number? True Is 72073 a composite number? False Is 20717 a prime number? True Is 453689 prime? False Is 209143 a composite number? True Is 756043 prime? True Is 6689 a composite number? False Is 569807 a composite number? True Is 794467 a composite number? True Is 23431 a prime number? True Is 1077 prime? False Is 2217 a composite number? True Is 40741 composite? True Is 2411 a prime number? True Is 16886 a composite number? True Is 49187 a prime number? False Is 1014802 a composite number? True Is 230431 a composite number? False Is 177 a prime number? False Is 17291 a composite number? False Is 5554 a composite number? True Is 16603 composite? False Is 9589 composite? True Is 43567 a prime number? False Is 273551 prime? True Is 73007 prime? False Is 7993 a prime number? True Is 29663 a composite number? False Is 251 a prime number? True Is 860809 a prime number? True Is 188107 prime? True Is 7129 a composite number? False Is 44753 a composite number? False Is 1287101 a composite number? False Is 8059 a composite number? False Is 12079 a composite number? True Is 522919 a composite number? False Is 1211341 a prime number? False Is 175493 prime? True Is 29947 composite? False Is 24902 a composite number? True Is 55109 a composite number? False Is 2459 composite? False Is 238613 a prime number? False Is 13577 a prime number? True Is 25378 a composite number? True Is 383707 prime? False Is 71761 composite? False Is 6686 prime? False Is 541817 prime? True Is 56431 composite? False Is 10777 a composite number? True Is 56299 a composite number? False Is 272419 prime? False Is 342593 a prime number? True Is 18679 a composite number? False Is 10391 composite? False Is 35693 a prime number? False Is 25501 a composite number? True Is 8057 composite? True Is 302483 a prime number? True Is 442003 a prime number? True Is 1760861 prime? False Is 723785 prime? False Is 78157 prime? True Is 919167 a composite number? True Is 1313 a composite number? True Is 67097 a prime number? False Is 6761 prime? True Is 413411 composite? False Is 54521 composite? False Is 630127 a composite number? False Is 87881 a prime number? True Is 269131 composite? False Is 391103 prime? True Is 1441607 a composite number? True Is 375677 composite? True Is 59893 prime? False Is 10997 a prime number? False Is 235327 composite? True Is 32017 prime? False Is 36997 a prime number? True Is 41723 composite? True Is 30089 a composite number? False Is 138923 composite? False Is 69163 prime? True Is 18260039 prime? False Is 42554 prime? False Is 1303919 a composite number? False Is 109289 a composite number? True Is 2235031 composite? False Is 2391 a composite number? True Is 8747 composite? False Is 161201 composite? False Is 13021 composite? True Is 10061 composite? False Is 53553 prime? False Is 2075065 prime? False Is 3437 composite? True Is 48947 prime? True Is 1662187 a prime number? False Is 5854 composite? True Is 4663 a prime number? True Is 2486089 a composite number? False Is 1133 composite? True Is 124601 a prime number? True Is 11246 a composite number? True Is 105097 composite? False Is 514055 prime? False Is 235439 a prime number? True Is 44831 composite? True Is 101435 a composite number? True Is 1099981 a composite number? True Is 1517 a prime number? False Is 5333 composite? False Is 31634 prime? False Is 155371 a prime number? True Is 19069 composite? False Is 89743 composite? True Is 16018 composite? True Is 19477 prime? True Is 64907 a prime number? False Is 147881 prime? True Is 35273 a composite number? True Is 28463 composite? False Is 7177 composite? False Is 1175053 prime? False Is 11989 composite? True Is 2897 composite? False Is 34495 prime? False Is 2669 composite? True Is 405427 prime? False Is 10459 composite? False Is 464671 composite? True Is 132283 a composite number? False Is 7283 a prime number? True Is 250777 a prime number? True Is 6499 composite? True Is 16043 composite? True Is 46571 composite? True Is 149269 a composite number? False Is 20611 a composite number? False Is 511738 a composite number? True Is 8245855 a prime number? False Is 3985 a
{ "pile_set_name": "DM Mathematics" }
*j + 16*j. 5*j Collect the terms in a**2 + 8*a**2 - 7*a**2 + 5*a**2. 7*a**2 Collect the terms in 85*f**2 - 578 + 578. 85*f**2 Collect the terms in -3*u**2 - 3*u**2 + 7*u**2. u**2 Collect the terms in -41*y - 33*y + 49*y. -25*y Collect the terms in -8*h + 4*h + 13*h. 9*h Collect the terms in 12*k + 3*k + 5*k**2 - 15*k. 5*k**2 Collect the terms in 20*l + 44 - 18*l - 44. 2*l Collect the terms in -16*i - 33*i + 74*i + 2*i**3 - 3*i**3. -i**3 + 25*i Collect the terms in 3 + 128 + 2*b**2 + 1. 2*b**2 + 132 Collect the terms in -5*k**3 + 3*k**3 - 24*k**3. -26*k**3 Collect the terms in -7*y**3 + 11*y**3 - y**3. 3*y**3 Collect the terms in 27*s - 13*s - 15*s. -s Collect the terms in -b + b + 4*b + b. 5*b Collect the terms in 2216*i**3 + 3*i - 8*i - 2221*i**3. -5*i**3 - 5*i Collect the terms in -6*k + 2*k - 7*k. -11*k Collect the terms in -5*n**2 + 3*n**2 - 15*n**2. -17*n**2 Collect the terms in 18*y**3 + 88*y**2 - 88*y**2. 18*y**3 Collect the terms in -882*z - 2*z**2 + 882*z. -2*z**2 Collect the terms in -274*w + 90*w + 96*w + 90*w. 2*w Collect the terms in 17*v + 25*v**2 - 17*v. 25*v**2 Collect the terms in x + 5*x - 2*x + 125. 4*x + 125 Collect the terms in 9*z - 2344 + 2344. 9*z Collect the terms in 3*v**2 + 2*v**2 - 11*v**2 + 11*v**2. 5*v**2 Collect the terms in 27*a**3 + a**3 - 6*a**3 - 11*a**3 - 10*a**3. a**3 Collect the terms in 8 + 9 - 17 + 4*p**3. 4*p**3 Collect the terms in 81*u**3 + 69*u**3 - 145*u**3. 5*u**3 Collect the terms in -11*l + 6*l - 5*l + 8*l + 3*l. l Collect the terms in -110 + 54 + 56 - 14*x. -14*x Collect the terms in -11*o**2 + 31 - 31. -11*o**2 Collect the terms in 6*a**2 + 569*a - 569*a. 6*a**2 Collect the terms in 0*j - 3*j + 27*j**2 - 3*j**2 + 15*j**2. 39*j**2 - 3*j Collect the terms in -8*z + 3 + 2 - 5. -8*z Collect the terms in -2*a + 2*a + 10*a**2 + 32*a**2. 42*a**2 Collect the terms in 27*l - 107*l + 22*l - 123*l. -181*l Collect the terms in -13 + 8 + 220*w + 5. 220*w Collect the terms in -40*s**2 + 0 + 0. -40*s**2 Collect the terms in -1324 + 1324 - 4*h. -4*h Collect the terms in 230 - 230 - 10*l**3. -10*l**3 Collect the terms in -9 - 12 + 3*j**3 + 4. 3*j**3 - 17 Collect the terms in 5*z - 2*z**3 - 2*z - 3*z + 0*z**3. -2*z**3 Collect the terms in m - 2*m - 9*m - 3*m. -13*m Collect the terms in -40*z - 3 + 12*z**3 + 40*z + 3. 12*z**3 Collect the terms in 14*s**3 - 41*s**3 + s**3. -26*s**3 Collect the terms in -4*n**2 - 2*n**2 - 8*n**2 + 0*n**2. -14*n**2 Collect the terms in 0*n**2 + 0*n**2 + 307666*n**3 - 307665*n**3. n**3 Collect the terms in 75 - 75 + 5*r. 5*r Collect the terms in 97*f - 37*f - 27*f - 29*f. 4*f Collect the terms in -15*d**2 - 109*d**2 - 112*d**2. -236*d**2 Collect the terms in -54*t**3 + 0*t**2 + 107*t**3 + 0*t**2 - 55*t**3. -2*t**3 Collect the terms in 20*f + 13*f - 33*f - 24*f**3. -24*f**3 Collect the terms in 2*n**2 - 10*n**2 + n**2 + 4*n**2. -3*n**2 Collect the terms in -2*b - 2*b + 0*b + 5*b. b Collect the terms in 2 + 5*o + o + 0*o + 2. 6*o + 4 Collect the terms in 4*o + 6*o + o + 14*o - 18*o. 7*o Collect the terms in -355*i + 95 + 356*i - 95. i Collect the terms in 4*y**2 + 4*y**2 + 0*y**2. 8*y**2 Collect the terms in -5*r + 7 - 6 - 1. -5*r Collect the terms in -62*b - 74*b + 140*b. 4*b Collect the terms in -29*y - 13*y**3 + 12*y**3 + 29*y. -y**3 Collect the terms in -4462599*g + 3*g**3 + 4462599*g. 3*g**3 Collect the terms in 21 + 10*f - 9 - 12. 10*f Collect the terms in -8*h**2 - 476*h**3 - 5*h**2 + 13*h**2 + 472*h**3. -4*h**3 Collect the terms in -34872 + 69716 + n**2 - 34844. n**2 Collect the terms in -8*p**2 - 2*p**2 + 6*p**2. -4*p**2 Collect the terms in 6*y + 50 + 54 - y - 104. 5*y Collect the terms in 14*t**3 + 101*t**3 + 30*t**3. 145*t**3 Collect the terms in -111*b + 111*b - b**2. -b**2 Collect the terms in 11*d**3 - 16*d**3 + 32*d**3. 27*d**3 Collect the terms in -2*w**2 - 5*w**2 - w**2 + w**2. -7*w**2 Collect the terms in 2 + 0 - 5 + 39*y + 47*y. 86*y - 3 Collect the terms in 2*y + 6*y + y**2 + 2*y. y**2 + 10*y Collect the terms in 3*m - 7*m + 24*m. 20*m Collect the terms in 3 + 56*z + 39*z - 887*z. -792*z + 3 Collect the terms in 63 - 63 + 7*f. 7*f Collect the terms in 0*q + 2 - 4*q + 11*q - 1. 7*q + 1 Collect the terms in -1092*g + 29*g**2 + 1092*g. 29*g**2 Collect the terms in -298*p**2 + 77*p**2 - 298*p**2. -519*p**2 Collect the terms in 14 - 14 + 69*y**2. 69*y**2 Collect the terms in 1895 - 3789 + 1894 + 3*m**2. 3*m**2 Collect the terms in 0*r**3 + 0*r**3 + 3*r**3. 3*r**3 Collect the terms in 42 - 79 - 5*w**2 + 37. -5*w**2 Collect the terms in -3*x**2 + 21*x + 11*x**2 - 21*x. 8*x**2 Collect the terms in -69*w + 70*w - 60 - 60 + 120. w Collect the terms in 29 + 3 - 32 + 10*o. 10*o Collect the terms in -262537 + 262537 - f**3. -f**3 Collect the terms in 2 + 182*m**3 - 29*m**3 + 41*m**3. 194*m**3 + 2 Collect the terms in -c - 4*c**3 + 5*c**3 + 0*c**3 - 65*c. c**3 - 66*c Collect the terms in 44*g + 8*g + 33*g. 85*g Collect the terms in 4*a - 812268*a**2 - 4*a + 812271*a**2. 3*a**2 Collect the terms in 240*o - 114*o - 120*o. 6*o Collect the terms in 175*f**2 - 62*f**2 + 93*f**2. 206*f**2 Collect the terms in -166*r + 56*r + 53*r + 60*r. 3*r Collect the terms in 4*x + 4*x - 4*x + 8*x - 2*x. 10*x Collect the terms in 0 + 24*d**3 + 0 + 12*d**3. 36*d**3 Collect the terms in 7*g**2 - g**2 - 6*g**2 - 17*g**3 + 16*g**3. -g**3 Collect the terms in 24*h**3 - 16*h**3 + 37*h**3. 45*h**3 Collect the terms in 51*r**2 + r - r - 46*r**2. 5*r**2 Collect the terms in -457 + 19*d**3 + 457. 19*d**3 Collect the terms in -78*w**3 - 24*w**3 + 103*w**3. w**3 Collect the terms in 97*r**2 - 23*r**2 + r**2. 75*r**2 Collect the terms in -221*i**3 + 2*i**2 + 715*i**3 - 2*i**2. 494*i**3 Collect the terms in 4*u + u - 6*u + 8*u. 7*u Collect the terms in -4*b**2 + 4*b**2 - 174*b**3 + 191*b**3. 17*b**3 Collect the terms in 281*w + 265*w - 551*w. -5*w Collect the terms in 2 - 4*f + 4*f - 79*f**3. -79*f**3 + 2 Collect the terms in -2*a**2 - 6*a**2 + 8*a**2 - 3*a**2. -3*a**2 Collect the terms in -9*o**2 + 53*o**3 + 9*o**2. 53*o**3 Collect the terms in -959*k**2 - 4*k + 956*k**2 + 4*k. -3*k**2 Collect the terms in -21 - 75*y**3 + 43 - 23. -75*y**3 - 1 Collect the terms in 0*n + 2*n + 0*n - 6*n + 2*n. -2*n Collect the terms in -12*u - 12 - 7*u + 4. -19*u - 8 Collect the terms in 16*v - 222 + 222. 16*v Collect the terms in c + 3*c - 5*c - 4*c + 3*c. -2*c Collect the terms in -4*r**2 + 4*r**2 - 8*r**2 - 10*r**2. -18*r**2 Collect the terms in 2 - 1 + 0 + 319*v. 319*v + 1 Collect the terms in -1772*p**2 + 5327*p**2 - 1780*p**2 - 1777*p**2. -2*p**2 Collect the terms in 4 + 147*k - 4 + 142*k - 285*k. 4*k Collect the terms in 0 - 2 - 14*s + 7 + 0. -14*s + 5 Collect the terms in 16*g**2 + 22*g**2 - 8*g**2. 30*g**2 Collect the terms in -2482 + 2482 + l. l Collect the terms in 101 + 93 - 194 - v**2. -v**2 Collect the terms in -36*o**3 + 40*o**3 + 17*o**3. 21*o**3 Collect the terms in -9*g**2 + g**2 - 5*g**2 + 0*g**2. -13*g**2 Collect the terms in -2*a**3 + 5*a + 5 + 389*a**2 - 5. -2*a**3 + 389*a**2 + 5*a Collect the terms in 429*x**2 - 853*x**2 + 427*x**2. 3*x**2 Collect the terms in -6 + 5*h**2 + 6. 5*h**2 Collect the terms in -1 + 1 + 253*h - 251*h. 2*h Collect the terms in 0*o + 10*o + 13*o - 18*o. 5*o Collect the terms in 23*i + 21*i + 20*i - 63*i. i Collect the terms in 41*f - 86*f + 42*f. -3*f Collect the terms in -13*j - 20*j + 33*j - 11*j**3. -11*j**3 Collect the terms in 4*h**2 + 13*h**2 - 20*h**2. -3*h**2 Collect the terms in 0*y - 2*y - 9*y. -11*y Collect the terms in -155*q + 79*q + 79*q. 3*q Collect the terms in -150*j + 304*j + 2*j**3 - 154*j. 2*j**3 Collect the terms in 20*d**2 + 3*d**3 - 9*d**2 + 6*d**3. 9*d**3 + 11*d**2 Collect the terms in 69 - 69 - 28*s**3 + 29*s**3. s**3 Collect the terms in -13*l**2 - 10 - 9*l**2 + 10. -22*l**2 Collect the terms in 59*n + 90*n - 131*n. 18*n Collect the terms in 7 - 4 - 384*q**2 + 389*q**2 - 3. 5*q**2 Collect the terms in -20578 + 20578 - s**2. -s**2 Collect the terms in -23*d**2 + 55*d**2 + 34*d**3 - 32*d**2 - 35*d**3. -d**3 Collect the terms in -9*k**2 + 11*k**2 - 3*k**2 - 8*k**2 - 4*k**2. -13*k**2 Collect the terms in 472 + 9*p**3 - 472. 9*p**3 Collect the terms in 4*p**2 + 3*p**2 - 5*p**2 + 18. 2*p**2 + 18 Collect the terms in 14*k + 14*k + 11*k - 42*k. -3*k Collect t
{ "pile_set_name": "DM Mathematics" }
-2 -1.541712914 -52.634 times -438 23053.692 Calculate 148136*-94. -13924784 What is the product of 179.57 and 55? 9876.35 Calculate -31824*196.7. -6259780.8 Multiply -0.04 and 0.107518934. -0.00430075736 Work out -98.57938 * 0.2. -19.715876 What is 0.0319826 times -174? -5.5649724 What is the product of -0.0407162385 and 0.5? -0.02035811925 Product of -0.449122 and 2. -0.898244 Calculate 3*858575. 2575725 Multiply -0.020047 and -2471. 49.536137 What is -2409815 times 0.08? -192785.2 3.5342815 times -0.4 -1.4137126 Product of 0.206 and 20.1202. 4.1447612 2037879*14 28530306 10.077 times -24.3 -244.8711 Product of 8 and -0.0819769. -0.6558152 Product of -0.1 and 182747838. -18274783.8 -0.07 times 104984300 -7348901 Multiply 30452.4 and -2.3. -70040.52 Product of 454 and 3971560. 1803088240 Multiply 0 and -687790. 0 173.947*1040 180904.88 What is the product of 0.2 and -11685727? -2337145.4 What is 5668 times -3347? -18970796 Multiply 2.23280299 and 0.4. 0.893121196 879945 * -0.12 -105593.4 Work out -433566 * -0.29. 125734.14 Work out 14195523 * 0.5. 7097761.5 What is -65511.2 times -16.6? 1087485.92 1*6.2324388 6.2324388 Product of 36019031 and -1. -36019031 -49.018 times -20.6 1009.7708 1.02344 times -47 -48.10168 What is the product of 671189.8 and 0.89? 597358.922 What is the product of -7226 and -0.0956? 690.8056 What is the product of 1.676625 and -4? -6.7065 Work out 460764 * -207. -95378148 5 times 0.8178996 4.089498 Work out -18044 * -0.0855. 1542.762 57*-1815.7 -103494.9 123.6 times -0.0512078 -6.32928408 Calculate -3*-182341360. 547024080 4.0284965 times -1.9 -7.65414335 What is the product of -2.9981 and 31.4? -94.14034 Product of -0.094 and -927126. 87149.844 What is -91604.7 times 132? -12091820.4 Calculate -5101715*43. -219373745 Work out -3853 * -3404. 13115612 What is the product of -0.5 and -11082183? 5541091.5 Multiply 1780.6866 and -0.11. -195.875526 What is 3 times -54466428? -163399284 Product of -1.7305 and -70.15. 121.394575 Multiply -8 and -2953019. 23624152 -537624.68*3 -1612874.04 What is -5 times -229775.71? 1148878.55 -21.826 times 14742 -321758.892 Work out 0.3 * -75060.758. -22518.2274 What is -0.2 times -0.004776471? 0.0009552942 0.603 times 1.06636 0.64301508 Multiply -1300430 and 13. -16905590 233.601 times 257 60035.457 6740*-5826 -39267240 0.3 times 1438.54767 431.564301 Product of -233 and 0.364944. -85.031952 Multiply 25922324 and -0.09. -2333009.16 Calculate 17.5820702*-0.1. -1.75820702 Product of 3791 and -3588.4. -13603624.4 -0.1*-18474588 1847458.8 -0.536 times -2727.67 1462.03112 Calculate 103*-925764. -95353692 What is the product of 743 and -186.72? -138732.96 Product of 1 and -51885.93. -51885.93 Multiply -3 and 370720292. -1112160876 What is the product of 6314 and -1.79? -11302.06 0.16 times 76.744498 12.27911968 What is -4741 times 49.1? -232783.1 Calculate -114*347803. -39649542 What is the product of -1307772 and 86? -112468392 Product of 902764 and -0.54. -487492.56 -0.3922 times -0.1899 0.07447878 Multiply 293080702 and 0.4. 117232280.8 Work out -352.74763 * 0.5. -176.373815 Multiply -3 and 2502417. -7507251 3.17328*-1998 -6340.21344 -33*-0.124874 4.120842 What is the product of -212 and 124378? -26368136 Calculate 9292364*0.2. 1858472.8 Product of -6.7 and 237953. -1594285.1 Multiply -16.785934 and -0.01. 0.16785934 Work out 22171.39 * 6. 133028.34 Work out -788 * 26. -20488 -0.2 * -92.532 18.5064 What is the product of -2437092 and -6.8? 16572225.6 -0.870596 times -0.5 0.435298 What is the product of 3.7568 and -2119? -7960.6592 Product of -25627.34 and -108. 2767752.72 Multiply 0.5 and -11441439. -5720719.5 0.89 times -72.90884 -64.8888676 -9 * -195.9893 1763.9037 Product of -5 and 1139883.9. -5699419.5 0.343228 * -757 -259.823596 Work out -669 * 14545.2. -9730738.8 What is the product of -455039 and 0.387? -176100.093 What is 0.37692 times -0.5? -0.18846 What is the product of 29.8 and 158041? 4709621.8 -5.58813 times 6 -33.52878 What is the product of -777.9 and -2.691? 2093.3289 456326 times 7 3194282 279461*-0.06 -16767.66 Product of 132965.55 and -0.5. -66482.775 0.03925 * -1443 -56.63775 Calculate -972.0839*0.3. -291.62517 0.1124179 times -62 -6.9699098 1311644 * -11 -14428084 What is 6.72175 times -2.53? -17.0060275 Multiply 9.2 and 143255. 1317946 What is the product of -0.5 and -537655.9? 268827.95 What is 0.2 times -478633? -95726.6 Work out -0.53 * -8.1762. 4.333386 Calculate -1.53*-750500. 1148265 What is the product of 3.2938 and -0.8? -2.63504 Product of -2656 and 1.8583. -4935.6448 What is -26187 times -0.43? 11260.41 What is -22.849125 times 41? -936.814125 Calculate 0.2*-15414761. -3082952.2 -0.07 * -3850.38 269.5266 Calculate -0.2*10497602. -2099520.4 Product of 0.59 and 1218137. 718700.83 2774 times 26.31 72983.94 Product of 458473 and 0.04. 18338.92 Multiply 69 and 292256. 20165664 Multiply 431457 and 0.079. 34085.103 Work out 26 * -629313. -16362138 -3 * -9.23377 27.70131 What is -72780555 times 0.3? -21834166.5 Work out 18683 * 0.108. 2017.764 Work out 160.3 * -709.9. -113796.97 8.74 * 129174 1128980.76 Multiply 15045840 and -2. -30091680 Multiply 5.33 and -18330. -97698.9 What is -0.22 times 226498? -49829.56 What is the product of 0.06 and 302047.83? 18122.8698 -9504 * 23119 -219722976 -348 times 0.8101 -281.9148 -5473548 times -3.4 18610063.2 What is 3761 times 5598? 21054078 What is 1544.2 times 13.954? 21547.7668 -1 * 7152.42 -7152.42 -366665423 times 0.3 -109999626.9 -4 times 43369792 -173479168 What is 214 times -5797372? -1240637608 What is -1526042 times 0.3? -457812.6 What is -34.42312 times 0.1? -3.442312 What is 1758.207 times 5.9? 10373.4213 Product of -0.2 and 9521320. -1904264 -5 times -116.3544 581.772 What is the product of 0.4 and -5169778? -2067911.2 Product of 0.5 and 3016191. 1508095.5 Calculate 109602.97*5. 548014.85 What is 12.5 times -0.2147? -2.68375 Multiply 480446 and -8. -3843568 Product of -2.98 and 14998. -44694.04 Multiply -766245 and 24. -18389880 Multiply 216291556 and 0.2. 43258311.2 Multiply 415899 and 331. 137662569 59724 times -11 -656964 2*-0.08256317 -0.16512634 Multiply -0.002831 and -0.8501. 0.0024066331 Product of 137780125 and -3. -413340375 2865.8 times 0.0776 222.38608 What is 0.18 times 926.8532? 166.833576 Calculate -0.08662089*0.06. -0.0051972534 27 * 122631 3311037 Calculate -1.5*11.5929. -17.38935 Calculate -375*0.24248. -90.93 What is 150 times 173.68? 26052 Work out 50 * 0.0283925. 1.419625 Product of -4798 and -2.919. 14005.362 Calculate -0.069*12.916. -0.891204 11 * -1705.55 -18761.05 What is -103 times -411861? 42421683 Calculate -456871813*-0.5. 228435906.5 -28 * -30370 850360 Product of -25.731 and 688. -17702.928 Work out 4 * -17467.134. -69868.536 -120077 times -8.5 1020654.5 What is 0.5 times 93804.63? 46902.315 Calculate -879397*8. -7035176 1223*13822 16904306 263526.1 times -75 -19764457.5 Product of 1.706 and 55517. 94712.002 Calculate 0*-807722. 0 Multiply 0.2 and -4132659. -826531.8 What is -13311272 times 0.05? -665563.6 Calculate 3*-1202.2679. -3606.8037 What is 13080797.2 times -0.5? -6540398.6 Work out -16.9 * -1655319. 27974891.1 Calculate -0.0064251*-0.5. 0.00321255 Multiply -0.3 and 233531. -70059.3 What is the product of -0.862 and 48530? -41832.86 What is the product of 109415 and -49? -5361335 Product of -3954801 and -10.2. 40338970.2 What is 5527.7 times 10.176? 56249.8752 -0.1643*4.9969 -0.82099067 38.505 times 0.2009 7.7356545 -2 times -15990342 31980684 -1747996 * 3.7 -6467585.2 What is -13577278 times -0.4? 5430911.2 -0.16 times 31030.8 -4964.928 -64250 times -2119 136145750 What is -4 times 110334.5? -441338 Product of -96.40166 and 0.3. -28.920498 0.177786 times -33.6 -5.9736096 4575055 times 2 9150110 -487.47977 * -4 1949.91908 0.00713073*2 0.01426146 Calculate 129653*-4.4. -570473.2 -4886.654*-1 4886.654 What is the product of -18.8 and 21709.57? -408139.916 -221 times 129329 -28581709 Multiply -4.71 and 17.318. -81.56778 What is the product of -0.01 and 220227? -2202.27 Calculate 15985*-17434. -278682490 Product of 10 and -209.8299. -2098.299 Product of 78 and 1576.31. 122952.18 804 * 0.139615 112.25046 311935 times 0.02 6238.7 What is 0.013 times -1.1525? -0.0149825 3946 * 286698
{ "pile_set_name": "DM Mathematics" }
2 + -285. -284.8 What is 5818 - -7? 5825 What is -35 minus -4? -31 Total of 13 and 9.3. 22.3 What is 11 - -0.057? 11.057 8 - 81881 -81873 What is -0.983 + 34.55? 33.567 Calculate -0.74 - 19939. -19939.74 Put together -2.4251 and 0.07. -2.3551 Put together -0.114205 and 0. -0.114205 Work out -1335 - 13. -1348 Add together -662 and 118. -544 -1 - 5743 -5744 What is -11.9 minus -1.069? -10.831 Total of 59198 and 0.3. 59198.3 Calculate -1.676 + -5.3. -6.976 What is 625 less than 4.7? -620.3 Work out -4788 - -5. -4783 What is 0.09 - -69.73? 69.82 Sum -2 and -4709. -4711 Subtract -1.5 from -822. -820.5 2760.7 - 0.2 2760.5 What is -13.3994 less than 3? 16.3994 What is -45 - -0.06? -44.94 Add 1043 and -0.1. 1042.9 Subtract 0.077 from 3833. 3832.923 What is the distance between 21.473 and 6? 15.473 3 - 186 -183 What is 0.725 plus 0.1? 0.825 Put together -0.3 and 1644. 1643.7 What is -5 minus 2.62? -7.62 What is 3 - 1.117? 1.883 What is 18895 plus 215? 19110 Total of 0.002 and -2. -1.998 Put together 1 and 11.806. 12.806 Calculate 5 - 14476. -14471 Calculate 2 + 216300. 216302 Work out 186126 - 0.02. 186125.98 -1 - -9.123 8.123 What is 0.5 take away 230708? -230707.5 Calculate 230.962 - -2. 232.962 What is 32 less than -646? -678 Total of -2237518 and 2. -2237516 Calculate 7 - 1754. -1747 -0.8 + 1135.17 1134.37 Work out 4 + -2.88. 1.12 Calculate -3 - 539.3. -542.3 Add together 2343.2 and -21. 2322.2 Calculate 101803 - -1. 101804 Calculate 10 + -45099. -45089 What is -0.02 less than -916? -915.98 Subtract 48 from 827.44. 779.44 Subtract -1 from -5989. -5988 What is 65 take away -3.113? 68.113 What is -11.019 take away 1? -12.019 143507.3 - 3 143504.3 Put together -664573 and 3. -664570 Add together -12 and -3.17. -15.17 Add together 0.0502 and 49. 49.0502 Calculate 61027 + -15.9. 61011.1 Total of 0.1 and 0.22295. 0.32295 What is -48.2694 take away 4? -52.2694 Total of -2.4 and -0.023. -2.423 What is -0.06 + -0.7255? -0.7855 What is -482370 minus 0.1? -482370.1 Work out 259 - -5071. 5330 Add together 1.3 and -135. -133.7 0.3+-89382 -89381.7 Subtract -761.3 from -1.7. 759.6 What is the distance between -0.4 and -0.6602? 0.2602 7760 + 5 7765 Total of -0.2 and 153792. 153791.8 What is -1603 - -4? -1599 Work out 1272.7 - 0.06. 1272.64 Sum 2.5 and 0.2. 2.7 Subtract 3 from -273794. -273797 What is 232 minus 0.09? 231.91 Add together 288364 and -3. 288361 What is -599.7 take away 3? -602.7 Add together -6 and -21056. -21062 What is 3030 - 86? 2944 Sum 12 and -310.1. -298.1 What is the distance between 0.06064 and 3? 2.93936 What is -57 less than -26890? -26833 What is the distance between -1 and -34452? 34451 -0.004+0.1194 0.1154 Work out 13.5 - 9.1. 4.4 What is the distance between 2694 and -0.4? 2694.4 What is -285805 minus -0.06? -285804.94 What is 0.4 take away -5334? 5334.4 0.379 + 0.2 0.579 What is -6.179 minus -0.2? -5.979 8+-42.8 -34.8 5 - -1812 1817 What is 0.09 plus -18.5? -18.41 What is -250 plus -12.1? -262.1 0.21 + 25020 25020.21 Work out -0.004337 + 0.2. 0.195663 What is 0.156 minus 169? -168.844 5 + 617809 617814 Sum -0.1 and -738. -738.1 Add -2.97 and 0.07. -2.9 Calculate -2.75 - -0.62. -2.13 Calculate 343 - -5. 348 Sum -0.3 and 0.317. 0.017 Add -0.1 and 0.536. 0.436 Calculate -7484 + -1. -7485 What is 5 take away -0.3777? 5.3777 What is 0.1 + -2366? -2365.9 5 + 19.9 24.9 What is -1.451 minus -0.12? -1.331 Subtract -86.19 from 0.09. 86.28 What is 1559149 plus -5? 1559144 What is the distance between -11368.6 and 0.79? 11369.39 Calculate -5 - 154342. -154347 What is -963514 - -0.06? -963513.94 What is the difference between 0.1 and 0.353? 0.253 Add together -1.62 and 1.037. -0.583 Total of -16069 and 15. -16054 What is 11.6671 plus -0.4? 11.2671 Sum -32186 and -4. -32190 Total of -56 and 8.8. -47.2 Total of -0.0582 and -0.2. -0.2582 What is -0.4 minus -0.458? 0.058 What is -15 + 0.93? -14.07 What is 3 take away 2586.72? -2583.72 Calculate 0.1 - -2.2468. 2.3468 What is -0.04 less than 447? 447.04 What is 3205 less than -4? -3209 Work out 0.3 - 622. -621.7 What is the distance between -7913 and -3? 7910 Work out 3 + 0.9041. 3.9041 Work out -5870 - 0.09. -5870.09 11 - 0.065 10.935 -12.437 - 0.4 -12.837 What is 38.806 minus -1? 39.806 0.2 + -77119 -77118.8 What is 4122.9 less than -0.1? -4123 What is -246 minus -0.0285? -245.9715 What is 143 minus 6406? -6263 Subtract -0.052 from -572. -571.948 Calculate -0.00317 + -0.2. -0.20317 What is the difference between 354 and -2.9? 356.9 480.4 - -4 484.4 Work out -188110 + 5. -188105 -16 + -50973.3 -50989.3 Calculate -0.3 - 0.01828. -0.31828 Put together 19441627 and 0.1. 19441627.1 What is 0.5 plus 4.57? 5.07 Work out 1.34 + 715. 716.34 Calculate -4416 + 11. -4405 What is 12168 less than 497? -11671 Put together -12.592 and -0.407. -12.999 -1.63 - -0.5622 -1.0678 What is -46.357 take away 6.1? -52.457 What is the difference between -13115 and 0.2? 13115.2 What is -0.35531 take away -7? 6.64469 -0.5+-0.056 -0.556 Work out -12180 + 2. -12178 Put together -360 and 462. 102 Add together 22 and -3110. -3088 What is -83 take away 1? -84 -0.2347+65 64.7653 Work out -0.1 - 2147. -2147.1 What is -30864 take away -0.4? -30863.6 What is the difference between -27518 and -465? 27053 Total of -5 and -8. -13 What is the distance between 343 and -1203? 1546 Add -30414 and 22. -30392 What is -2 plus -1231? -1233 Total of 0.535955 and 4. 4.535955 4+2.2934 6.2934 What is the distance between 260 and 10453? 10193 0.309117 - -0.03 0.339117 Work out 13 - -1647. 1660 0.09052 - -4 4.09052 What is -0.129002 plus -27? -27.129002 56260.3 + 5 56265.3 What is 594.154 - -5? 599.154 Work out -0.3 - 1020. -1020.3 Total of 269.074 and -1. 268.074 What is -1198622 + 0.2? -1198621.8 What is -336063 plus -2? -336065 Calculate 35874 + -0.4. 35873.6 Total of -50894 and 8. -50886 What is 5 take away 314? -309 What is -36526 minus -33? -36493 Add together 3695.29 and -0.4. 3694.89 What is 10.7 take away 96? -85.3 169 - -4.628 173.628 Add together 299518 and -0.5. 299517.5 Put together 3 and 7. 10 Add 319854 and -0.2. 319853.8 Subtract 1714 from -2.28. -1716.28 1556948+3 1556951 What is -0.23 minus 0.0026? -0.2326 Calculate 53179.3 + 12. 53191.3 Add 24.13 and -9.1. 15.03 What is 1 take away -843? 844 What is -417637 plus -0.3? -417637.3 What is the difference between 1232 and -57? 1289 What is 175885 less than -5? -175890 Add 0.2 and 45.7. 45.9 What is 0.125 + 0? 0.125 What is the difference between -0.26 and -0.84? 0.58 Calculate -1815 + -0.2791. -1815.2791 -221390+0.5 -221389.5 34862 + 3 34865 What is -2.1 + -1173? -1175.1 0.6 + 13.5 14.1 What is the distance between -0.2 and 22388? 22388.2 Calculate -2.08 - -1. -1.08 What is 3.3 take away 25.3? -22 Subtract 18.9 from 0.3. -18.6 Subtract 4968 from -1. -4969 What is the distance between -1.8 and 8.644? 10.444 Work out 2.9 - 66. -63.1 Work out -21 + 93. 72 What is the distance between -15.5112 and -0.2? 15.3112 What is 64384 less than 3? -64381 What is the distance between 67 and 976? 909 Put together 16.99 and -0.744. 16.246 What is 5 less than -1458283? -1458288 What is -0.2 minus -16.1636? 15.9636 What is 0.4 less than -4.73? -5.13 -6+48.7 42.7 What is -91 minus -240? 149 Put together -0.11137 and -0.1. -0.21137 What is the distance between 2.6 and 17794? 17791.4 What is 23.49 take away -0.833? 24.323 What is 0.391 plus 0.02? 0.411 Calculate -3 - 168332. -168335 Calculate 6 - 36400. -36394 What is the distance between -54611 and -0.3? 54610.7 Add together 3.9 and -74. -70.1 What is -0.1 plus 12.36? 12.26 Work out -0.4 + -0.515. -0.915 What is 1 + -5.582? -4.582 Work out -10 - 5. -15 Calculate -26.27 + 4.8. -21.47 Work out -250035 - -5. -250030 Total of 0.5 and 25746. 25746.5 What is 5 - -0.90227? 5.90227 Subtract -187967 from 1. 187968 -75.4739 + -2 -77.4739 Calculate 8377 - 28. 8349 0.0332 - -4 4.0332 Calculate -70.8 + -0.12. -70.92 Add -90 and 19.2. -70.8 1168+-0.24 1167.76 Work out 22.87 - -0.1. 22.97 Add together 140368 and -0.9. 140367.1 Total of -51.4 and -10.5. -61.9 Work out 0.86554 - 3. -2.13446 What is 79 - 100? -21 -1.17 + 109 107.83 Calculate 30474 - -2. 30476 Add together 7682 and 2.8. 7684.8 Sum 556195 and -0.4. 556194.6 -382486 + 5 -382481 What is 7 take away -174? 181 What
{ "pile_set_name": "DM Mathematics" }
t o = -20 + b. Round o to zero dps. -3 Suppose -272086 - 186842 = -6*t. Let h(d) = 3919*d - 2. Let y be h(6). Suppose -t = r + y. Round r to the nearest one hundred thousand. -100000 Suppose 6*t = t + 15. Suppose v + 618174 = -n - t*v, -5*v + 2472591 = -4*n. Let w = n - -8154. What is w rounded to the nearest 100000? -600000 Let i = 74.90958 + -72.01. Let w = -72 + 69.1. Let o = w + i. What is o rounded to four dps? -0.0004 Let q = -24 - -44. Let f = -19.68 + q. Let k = f - -13.08. What is k rounded to zero decimal places? 13 Let z(p) = p**3 - 4*p**2 + 2*p - 4. Let n be z(4). Suppose 6583348 = n*i + 2183348. What is i rounded to the nearest one million? 1000000 Let h = 5130693 - 5130522.99718. Let l = -170 + h. Round l to four dps. 0.0028 Let c = -34.9 - -34.90219. What is c rounded to 3 dps? 0.002 Let l(m) be the second derivative of -8*m**3/3 - 11*m**2/2 - 38*m. Let q be l(15). Round q to the nearest ten. -250 Suppose -3*h + 45 = -3*d, -3*d = 2*h + d - 12. Let f(b) = -2649*b - 5. Let m be f(h). Let c = 65793 + m. Round c to the nearest 10000. 30000 Let q = 1.1 + -12.1. Let w = q + 11.064. Let p = -0.138 - w. Round p to two dps. -0.2 Let m = -202751 + 202750.899949. Let u = 3.1 + -3. Let n = u + m. What is n rounded to 5 decimal places? -0.00005 Suppose 0 = -2*r - 10, -2*t - 2*r = r - 3043985. Round t to the nearest 100000. 1500000 Suppose c - 3*v = -2*c + 9, 0 = 2*c + 3*v - 6. Suppose 0*l = -c*l. Suppose l*u + 3090 = 3*u. Round u to the nearest one hundred. 1000 Let f = 2171.867 + -2173. What is f rounded to 1 decimal place? -1.1 Let d = -0.11 - -2.91. Let j = d - 2.79999952. Round j to seven decimal places. 0.0000005 Let h = 79 - 25. Let x = h - 53.99991. What is x rounded to 4 dps? 0.0001 Suppose 0 = -9*x + 3*x + 11958. Let y be 1169/2*(-4 - -10). Suppose -z = -x - y. What is z rounded to the nearest one thousand? 6000 Suppose -4*s - 4*p - 5 = 3, 3*s - 26 = 5*p. Suppose -2*n - 335 = y, -s*n = -n + 4*y + 150. What is n rounded to the nearest one hundred? -200 Suppose -v + 3055967 = y - 1764036, 2*v = -3*y + 14460006. What is y rounded to the nearest 100000? 4800000 Let l = -12 - -9. Let b be (1 + l)/((-4)/248070). Let n = -63035 + b. What is n rounded to the nearest ten thousand? 60000 Suppose -15 = -3*d + 8*d, d = v - 1169281. Suppose r = -159278 + v. Round r to the nearest one hundred thousand. 1000000 Let o = 30 + -86. Let s = -55.9978 - o. What is s rounded to three decimal places? 0.002 Let n be 2/(5576031/619560 - 9). Round n to the nearest 1000. -138000 Let q = 462215 - 462498.129. Let i = -283 - q. What is i rounded to 2 dps? 0.13 Let w be (1*4/10)/(18/90). Suppose 2*q = -w*q + 1284000. Round q to the nearest ten thousand. 320000 Suppose f + 2*d = 7, -5*f - 3*d + d + 19 = 0. Let j be (f/(-2))/(10/(-97333300)). Let l be j/(-20) - (-2)/(-8). What is l rounded to the nearest 100000? -700000 Let d = 3.66 + -3.66406. What is d rounded to 3 dps? -0.004 Let w = 1.881 - 1.9. Let f = w - -0.018909. What is f rounded to five decimal places? -0.00009 Let l be 2/((-20)/6 + 4). Let f be (1 - 1)/(l + -2). Suppose w = -f*w + 9000. Round w to the nearest ten thousand. 10000 Let r = -0.57 - 62.43. Let s = r - -63.0000285. Round s to 6 decimal places. 0.000029 Suppose n - 6774 = 2*n. Let r = -40774 - n. Round r to the nearest ten thousand. -30000 Let o(n) = n - 4. Let v be o(5). Let w = 3 - v. Suppose -w*h = 2*h + 9040. What is h rounded to the nearest 100? -2300 Let k = -2 - -34. Let i = 51 - k. Let v = -19.07 + i. What is v rounded to one dp? -0.1 Let z = -5849681 + -20650319. What is z rounded to the nearest 1000000? -27000000 Let z = -22628 - -32238. Round z to the nearest one thousand. 10000 Let q = -0.1614 - 32.6486. Let p = -33 - q. Let w = -0.262 - p. Round w to two dps. -0.07 Let n(u) = -u**3 - 6*u**2 - 3*u - 13. Let f be n(-6). Suppose 0*s + f*s = 70. Let i be 2/(-4) + (-3283)/s. What is i rounded to the nearest 10? -240 Let h = -78708.4 - -72463. Let c = 6245.30000032 + h. Let k = c + 0.1. What is k rounded to 7 dps? 0.0000003 Let f = 2436 + -2436.0009965. Round f to 5 decimal places. -0.001 Let h = 0.961 - -89.639. Let p = h - 102. What is p rounded to the nearest 10? -10 Let t = 664 + -663.99999212. What is t rounded to six decimal places? 0.000008 Let q be -10000*4460/12*-2*-6. Round q to the nearest 1000000. -45000000 Suppose -2*f = -2*d + 12932, 5*d + 3*f = f + 32358. Let v = d + 18025. Suppose -7668 = 3*p + 2*w + 7034, 5*w - v = 5*p. What is p rounded to the nearest 1000? -5000 Let w = 16 - 15.92. Let b = w - -0.071. What is b rounded to 2 dps? 0.15 Suppose 4*k + k = 15. Suppose -k*i - 2*i - 95 = 5*s, -2*s - 17 = -5*i. Let g = -11 - s. Round g to the nearest 10. 10 Let g = 13.85 - -0.15. Let t = 13.99982 - g. Round t to four decimal places. -0.0002 Let d = -127.999999896 - -128. Round d to 7 decimal places. 0.0000001 Let n be ((-10)/25)/(1/(-10)). Suppose 7*k = n*k - 53100. Round k to the nearest one thousand. -18000 Let n = 0.9 - 2. Let s = -0.041 - -1.161. Let f = s + n. What is f rounded to 1 decimal place? 0 Let g = 24 + -28. Let a = g - 10. Let z be 4/(-7) + (-159600008)/a. What is z rounded to the nearest 1000000? 11000000 Let o = -43098 + 43044.018. Let j = o - -54. Round j to 2 dps. 0.02 Suppose 5*f - 3*k = -74503, 0 = -3*f - 3*k - 51590 + 6893. Round f to the nearest 10000. -10000 Let d = 8.259 - 8.3. Let f = -0.029 - d. What is f rounded to 2 dps? 0.01 Suppose -2*x + 62 = -0*x. Let n = 22 - x. Let v be (7100000 - 0)/(n/36). Round v to the nearest 1000000. -28000000 Let c(o) = -62318*o - 24. Let k be c(-8). Suppose 2*n = k - 1532520. What is n rounded to the nearest 100000? -500000 Let f = 0.6 - 9.35. Let z = 9 + f. Let d = z + -0.2500013. Round d to six decimal places. -0.000001 Let g = 172 - -53.6. What is g rounded to the nearest ten? 230 Let d be ((-6)/(-10))/((-10)/(-50)). Suppose -d*n + 1530 = -2*n. Suppose -2*f + 1518 = k, -2*f + 2*k + 3*k + n = 0. Round f to the nearest one hundred. 800 Let j = 0.241 - 5.761. Round j to one decimal place. -5.5 Let p = -1002.9 - -978. What is p rounded to the nearest 10? -20 Let h(f) = -9*f - 27. Suppose x - 5*b + 2*b = -23, x + 4*b = 5. Let d be h(x). What is d rounded to the nearest 10? 70 Let c = -967 + 967.000001373. What is c rounded to 7 decimal places? 0.0000014 Let z = 211.13 + -212. Let x = -110.13 + z. Let a = x - -110.9874. What is a rounded to three decimal places? -0.013 Let w = -6076 - -6099.864. Let a = 33 + -9. Let z = w - a. Round z to two dps. -0.14 Suppose 5*g - 2*b = 39, -3*g - 5*b + 24 + 18 = 0. Suppose 0 = x + 5*p + 21, x + p = 2*x - g. Let m be (35/2)/(x/144). Round m to the nearest 100. 600 Let g(t) = 153*t + 97. Let q be g(5). What is q rounded to the nearest one hundred? 900 Let c = 0.1 + 3.73. What is c rounded to zero decimal places? 4 Let n = -22813014773.00000087 + 22813014657. Let j = 116 + n. What is j rounded to 7 dps? -0.0000009 Let f = 22256.5817 - 45.4517. Let d = f + -22118. Let o = 92 - d. Round o to 1 decimal place. -1.1 Let k = 2.0507 + 142.0593. Let m = k - 145. What is m rounded to 1 dp? -0.9 Let m = 459.004 - 461. Round m to the nearest integer. -2 Let r = -47.966 + -0.034. Let q = -2318 + 2367.04. Let h = r + q. Round h to 1 decimal place. 1 Let y = 10390 - 4365. Let b = y + -6018.234. Let q = 6.7 - b. Round q to two decimal places. -0.07 Let a(b) = b**2 - 12*b + 15. Let h be a(11). Suppose -3*d = -h*t + 57, d - 2*t = 4*d + 39. Let s be (-5)/d + (-122)/6. Round s to the nearest 10. -20 Suppose 26*l = -0*l - 101400. What is l rounded to the nearest one hundred? -3900 Let v = -23.86 - 0.14. Let o = v - -23.63. Let u = o - -0.37056. Round u to four decimal places. 0.0006 Suppose 0 = 3*f + f - 12, 0 = -2*s - 4*f + 24920012. What is s rounded to the nearest 100000? 12500000 Let d = 0.004 - -206.996. Let s = d - 207.0218. Round s to 3 decimal places. -0.022 Let o(f) = 543*f**2 + 6*f - 5. Let v = 23 + -18. Suppose v = n + 2. Let w be o(n). What is w rounded to the nearest 1000? 5000 Let h = -1651 - -1650.9999996634. What is h rounded to seven decimal places? -0.0000003 Let b = -311.7 + 201.46. Round b to the nearest ten. -110 Let s = 3361.471974 - 3364.472. Let z = 0.01 - -2.99. Let d = s + z. Round d to 5 decimal places. -0.00003 Let y = 11 +
{ "pile_set_name": "DM Mathematics" }
- 2*k + k**2 - 2*k**2. Let t be o(-3). Suppose 4*w + 0*w = 8. Is t <= w? False Suppose -11 = -5*w + 44. Which is greater: w or 9? w Let o be 4/(-34)*6/(-24). Which is bigger: 0 or o? o Let g = 3 + -3.1. Let o(r) = -r**3 + r**2 + 2*r - 1. Let n be o(1). Let q be n + ((-8)/(-6) - 2). Is q greater than or equal to g? True Let l(d) = -d**2 - 4*d + 1. Let v be l(-3). Let w be (-18)/(-4)*v/6. Suppose 2*s - w - 1 = 0. Is s less than 2/3? False Let g = 1 + 5. Let x = g - 8. Is 0 greater than or equal to x? True Suppose 6*u + 25 - 7 = 0. Which is smaller: u or -2? u Let f = -0.25 - 21.75. Let t = f + 24. Is -0.5 <= t? True Suppose -2*u + 4*k - 32 = 0, 5 = 4*u + 2*k + 69. Which is smaller: -29/2 or u? u Let z = 8 - 14. Let r be (-1 + -9)*(z - -5). Let l be ((-6)/r)/((-3)/(-2)). Do 1 and l have different values? True Suppose 3*l - 32 + 2 = 0. Suppose -5*t - 6 = 4*o - 5*o, 5*o + l = 5*t. Is 3 != t? True Let d be ((-3)/(-2) + 0)*2. Suppose 0 = 2*c - 5*c + d. Let n(o) = -o**2 - 4*o - 3. Let f be n(-3). Does c = f? False Let t = -21 - -3. Let x = t - -27. Which is bigger: 10 or x? 10 Suppose 4*o - 211 = i + 2*o, -413 = 2*i - o. Let t = 620/3 + i. Is t bigger than 2? False Let g = -10 - -7. Let z = -3/47 + -408/235. Is g bigger than z? False Let b = 0.1 - -0.1. Let w = 3.5 - 3. Let t = 1.5 + w. Is b less than t? True Suppose 12*r - 16*r - 68 = 0. Is r bigger than -2? False Suppose 5*g = -4*p - 6, 0 = -4*p - 0*p - 2*g. Let r be 4/(-8)*(2 - 6). Let m = 3 - r. Is p less than m? False Suppose 3*h = -w - 34, 6*h - 4*h - w = -16. Which is greater: -8 or h? -8 Let a = 3 + -2. Let r be (-10)/42 + (-2)/(-6). Which is smaller: r or a? r Let c = -445/6 - -147/2. Is 135 smaller than c? False Let j = 1.53 - 0.13. Let u = j + -0.4. Does 0.2 = u? False Let j = 83 + -86. Are 7 and j equal? False Let l be (170/4)/5 + -1. Let u = 7 - l. Suppose -3*h = -2*h. Which is smaller: h or u? u Let u be (-3)/65 - (-5)/25. Suppose -4*n + 16 = -4. Suppose -2 = 3*t - n. Is t <= u? False Let n = -50 - -48. Is 4 less than or equal to n? False Let t = 4 + -3.92. Let p = t - -0.52. Let c = p + -0.7. Is c at least -2/3? True Suppose -r - u = 2*r + 5, 3*u = 2*r - 15. Let d be 1*14/6*9. Let v be (9/d)/((-3)/2). Which is bigger: v or r? r Let m(c) = c**2 + 8*c + 8. Let t be m(-6). Is 2.6 greater than t? True Let z be -1 + 38 + (-5)/((-20)/8). Which is greater: 40 or z? 40 Let g = 65/3 - 22. Let l = 0.24 - 0.47. Let y = -0.13 - l. Which is greater: g or y? y Let t = 8 + -6. Suppose -6 = -x - t. Suppose x*h = j - 15, h + 4*j = 6*h + 5. Is -3 > h? True Let x = 658 - 17768/27. Is x greater than -1? True Let a be (-28)/(-8) - 1/2. Suppose -7 = 5*q + a. Do -1 and q have the same value? False Suppose 3*m - 25 = -2*m. Suppose -m*h + 2 = -18. Let u be h/3*(-2)/8. Is u != 2/15? True Suppose -s = s. Suppose -34 = -4*j + r, -2*j - 5*r = -0*r - 28. Let d be (-9)/28 + j/36. Is d less than or equal to s? True Let f = 11 + -3. Is 7 at least as big as f? False Let i be 30/(-25)*(-10)/(-4). Let y be 1/(2 + i/3). Which is bigger: y or 4/3? 4/3 Let r(j) = -j**3 + 12*j**2 - j + 16. Let d be r(12). Let o = 5 - d. Let q = 1723/8 - 215. Which is smaller: q or o? q Let i = 17 + -17.05. Is i not equal to 1? True Let c = -18 + 13. Let s be (-52)/10 + 4/20. Are c and s equal? True Let t be (6/18)/((-2)/12). Which is smaller: 0 or t? t Let s(r) = r**3 + 7*r**2 + 5*r - 7. Let c be (0 - (-9)/12)*-8. Let l be s(c). Which is smaller: 2 or l? l Suppose 7*v - 24 = -17. Which is bigger: -3/79 or v? v Let a(v) = -v**3 - 12*v**2 - 12*v - 10. Let m be a(-11). Which is greater: m or -3/16? m Let b = -39 + 43. Does b = -2? False Suppose 5 = 2*b + 2*b + 3*m, -2 = b + 4*m. Is b < 0.1? False Let z = 1/180 + 133/360. Which is bigger: z or 0? z Suppose t + 3 - 8 = -5*s, -s - t = -5. Which is smaller: s or 1? s Let t = -20 + 28. Are -3/4 and t equal? False Let h be 3/(-9) - 104/(-96). Which is greater: h or 1? 1 Let i(j) = 13*j**2 - 2*j + 2. Let t be i(-3). Let k = 4377/35 - t. Which is smaller: 0 or k? 0 Suppose 119 = -6*v - 61. Are -30 and v non-equal? False Let h(d) = -4*d - 8. Let a(k) = 3*k + 7. Let c(i) = -6*a(i) - 5*h(i). Let o be c(2). Suppose s + o*s = 0. Which is greater: s or 4/9? 4/9 Let g = -23 + 24. Which is bigger: g or -1/6? g Suppose -c + i = -2, 0 = -3*c + c - 4*i + 4. Suppose -2*g = -3*t, -2 - 4 = c*g. Let o be -2 - (-1 + (-6)/(-9)). Which is smaller: o or t? t Let n = -4 + 7. Suppose -n*l = -8 + 23. Suppose -3*w = 2*x + 16 - 2, 4*w = x - 15. Does l = w? False Let z(k) = -k + 1. Let g be z(-4). Let i = -6 + g. Which is smaller: 1/5 or i? i Let m = -3 - -11. Let o be (36/8)/9*14. Which is greater: m or o? m Let u be (1/(-18)*-3)/(4 - 2). Let t be 0/((-3)/9*-3). Is u at most t? False Let z = -11.61 + 12.6. Let j = 0.01 + z. Which is smaller: j or 1/3? 1/3 Let c = -9 - -13. Let z = -2.22 + 0.22. Is z not equal to c? True Let x(z) = -z - 16. Let b be x(-15). Which is greater: -2/21 or b? -2/21 Let z = 0.2 + -0.3. Suppose 5*h - 4*q = -15, -h + 2*q - 15 = 4*h. Let k = h + 4. Is z > k? False Let r be (-2)/(-6)*2/3 + 0. Which is bigger: -0.4 or r? r Let l = 2.3 - -0.7. Let k = l - 2.94. Let x = -0.04 - k. Which is bigger: x or 0? 0 Let y(g) = -g - 7. Let h be y(7). Let t(j) = j**2 - 8*j - 1. Let f be t(8). Let z be h/30 + f/3. Are -1 and z equal? False Let h(g) = 2*g**2 + 13*g + 9. Let a be h(-6). Is 3 not equal to a? False Let x(b) = -b + 3. Let t be (-6)/4 - (-39)/6. Let r be x(t). Let i be (r/3)/(1/3). Is -3 less than or equal to i? True Suppose m + 4*m = 25. Is m equal to 0.2? False Let i = 55 - 54. Which is greater: -13/8 or i? i Suppose -6 = -3*u + u. Suppose 4*i = u*i - 1. Is i greater than 1/8? False Let t = 44011/15 - 2940. Let h = t - -16/3. Does h = -1? False Let o be (4/(-30))/((-216)/45). Which is greater: o or 1? 1 Suppose -35 = -10*b + 3*b. Which is smaller: b or 18/5? 18/5 Suppose 4*x + 20 = b + 4*b, -3*x + 55 = 5*b. Let f(c) = -c**3 + 9*c**2 - 8*c + 7. Let o be f(b). Is 6 equal to o? False Let j be (3 + -1 - 5/(-5)) + -4. Which is smaller: 1/9 or j? j Suppose 2 = 5*p - s - 33, -15 = -3*s. Let r = -3 + p. Is 5 equal to r? True Let h be 4/(-41)*(-65)/20. Let g = h - -2/123. Is 0.01 <= g? True Let i = 0.1 + 0.9. Which is smaller: 1/2 or i? 1/2 Suppose -j + 4*q - 26 = j, -2*j - 23 = -q. Is -11 at most j? True Let g = 0.056 - -0.174. Let q = -0.67 - g. Which is greater: q or 0.1? 0.1 Let h be (16/6)/(8/12). Suppose 1 = h*w + o + 13, -4*o = 16. Let i be ((-1)/w)/(2/3). Is i at least as big as 2? False Let v(q) = 3*q + 4. Let b be v(-2). Let k = -9026/37 - -244. Which is bigger: k or b? k Suppose 0*w + w = 1. Let b = 1157/11 + -105. Which is smaller: b or w? b Suppose 0 = 5*a + 2*b + 12 - 1, -b - 3 = 0. Let s be ((-6)/(-9))/(6/(-9)). Is s <= a? True Let c = 15.7 + -17.7. Which is greater: c or 1.8? 1.8 Let s be (-8)/40*10/(-2). Let y be s*3/((-21)/2). Which is bigger: 1/2 or y? 1/2 Let m be (-2)/9 - (-448)/72. Let d be (60/18)/(4/m). Suppose 4*v - 2*u = -5 - 7, -3*u = -d*v - 15. Is v at most as big as -3? True Let g = -47 - -47. Is g at most 3/8? True Let w = 0.1 + -0.17. Let u = 8.07 + w. Let c = -8.1 + u. Which is greater: -2 or c? c Let t = -1 + 5. Let s = -5 + t. Which is smaller: -0.2 or s? s Let u = 7653 - 1278038/167. Let x = u - -26321/835. Let b = -1116/35 + x. Is 1 at least as big as b? True Suppose -21*m - 3 = -18*m. Is -47 bigger than m? False Let f = -12 - -30. Suppose -39 = 5*i - 124. Which is greater: f or i? f Suppose -f = -6*f - 10. Let g be f/(-6) - (-1)/3. Is 0 bigger than g? False Let r(o) = 4*o + 33. Let w be r(-9). Are w and -1 unequal? True Let j(z) be the first derivative of -z**4/12 - 2*z**3/3 + z**2/2 - 2*z - 3. Let q(b) be the first derivative of j(b). Let h be q(-4). Is 1/3 bigger than h? False Let x = 13 + -19. Let m be (-6)/(-9) + (-92)/x. Suppose 4*g - t = -5*t, 3*g = 5*t - m. Are g and -0.1 unequal? True Let m be (-30)/7 - (-2)/7. Let w be (-1)/m - (-3)/4. Are 1 and w equal? True Let j = 24 + -34. Let l be 15/j*(-2)/13. Is l less than -1? False Suppose 3*q - 11 = -4*f - f, 2 = q. Let d = f - -3. Which is smaller: d or 3? 3 Let f be 0 - 10/(-65) - (-80)/(-182). Is f >= -26? True Let w be 1/((3/(-6))/(-1)). Let v be (12 - 2)*w/35. Which is greater: v or 0? v Let g = 0.025 + 3.975. Which
{ "pile_set_name": "DM Mathematics" }
37 Let t(s) = s**2 - 3*s - 4232. Determine t(67). 56 Let z(r) = -91563*r - 2380626. Calculate z(-26). 12 Let b(y) = -1850146*y - 9250711. What is b(-5)? 19 Let k(m) = -2*m**3 - 549*m**2 + 657*m + 105216. Give k(-275). 166 Let w(v) = v**2 + 99*v - 14308. Determine w(-179). 12 Let h(k) = -1190*k - 2314. Give h(-2). 66 Let z(u) = 33*u**2 - 17*u + 51. Determine z(4). 511 Let t(r) = -r**3 - 18*r**2 - 5884*r - 99734. Give t(-17). 5 Let y(u) = 39341*u + 4. What is y(0)? 4 Let b(u) = -4*u**2 + 64*u + 360. Determine b(0). 360 Let g(m) = 214*m + 1235. Give g(0). 1235 Let r(w) = -w**3 - 98*w**2 - 309*w - 1368. Calculate r(-95). 912 Let d(x) = 366721*x + 2200317. Determine d(-6). -9 Let b(u) = -16*u**2 + 192*u + 234. Calculate b(15). -486 Let p(n) = -941*n + 3769. Calculate p(4). 5 Let o(f) = -2*f**3 + f**2 - 300*f + 3370. Give o(8). 10 Let d(p) = -2*p**3 - 57*p**2 + 118*p + 4081. Give d(-28). -7 Let h(o) = -o**3 + 52*o**2 - 226*o - 2878. Give h(46). -578 Let k(b) = -2*b**2 + 2994*b + 128899. Calculate k(-42). -377 Let w(l) = -8*l**2 - 89*l - 432. Calculate w(-10). -342 Let j(i) = -4325*i - 190363. Calculate j(-44). -63 Let p(j) = 39*j**2 - 418*j - 114. What is p(11)? 7 Let o(a) = 463*a + 3022. Give o(-7). -219 Let h(s) = -127*s**2 - 1196*s - 65. What is h(-8)? 1375 Let p(d) = 7642*d**2 + 45854*d + 6. Determine p(-6). -6 Let u(h) = -h**2 - 19*h + 3011. What is u(-54)? 1121 Let x(r) = -218*r**2 - 160*r + 24. Determine x(-1). -34 Let v(u) = 6*u**3 - 136*u**2 + 218*u - 138. Calculate v(21). 30 Let q(g) = g**3 - 44*g**2 + 152*g + 316. Determine q(39). -1361 Let t(k) = -581*k - 188235. Determine t(-324). 9 Let u(g) = 1228*g + 174381. Calculate u(-142). 5 Let q(p) = 14*p**3 - 81*p**2 - 140*p + 916. What is q(6)? 184 Let j(u) = 98*u - 4750. Determine j(54). 542 Let g(i) = -i**3 - 6*i**2 + 5141*i + 35945. Calculate g(-7). 7 Let j(x) = 38260*x + 229889. What is j(-6)? 329 Let i(p) = 1003*p**2 + 1090261*p + 35. Give i(-1087). 35 Let r(d) = -3*d**2 - 282*d - 6595. Calculate r(-44). 5 Let m(i) = -38*i**2 + 217*i + 1768. Calculate m(-8). -2400 Let t(c) = 2*c**2 + 133*c - 160. Determine t(0). -160 Let v(a) = -33*a**2 - 10429*a + 10109. What is v(-317)? -35 Let i(t) = -4*t**3 - 5*t**2 - 642*t + 2712. What is i(4)? -192 Let g(a) = a**3 + 48*a**2 - 24*a - 449. Determine g(-48). 703 Let j(d) = 2*d**3 - 258*d**2 - 1254*d + 22. What is j(-5)? -408 Let d(h) = 2*h**3 + 374*h**2 - 740*h + 3020. What is d(-189)? -4 Let n(t) = 151885*t - 1670728. What is n(11)? 7 Let k(o) = 48*o**2 - 394*o - 295. Determine k(10). 565 Let w(g) = -5*g**2 + 24508*g + 98034. What is w(-4)? -78 Let h(j) = -90*j**2 + 18276*j - 1195. Calculate h(203). 23 Let s(z) = -15483*z + 2152159. What is s(139)? 22 Let h(t) = -6*t**2 - 159*t + 2725. Calculate h(20). -2855 Let o(a) = -892*a + 81179. What is o(91)? 7 Let c(u) = -2*u**2 + 13*u + 494. Give c(19). 19 Let j(n) = -2*n**3 + 218*n**2 + 10*n - 983. What is j(109)? 107 Let p(y) = -y**2 + 317*y - 22014. Give p(214). 28 Let c(i) = i**3 + 11*i**2 - 257*i - 557. Give c(-2). -7 Let c(w) = -4*w**2 - 566*w + 2018. Calculate c(-145). -12 Let x(i) = -29*i - 268. Determine x(8). -500 Let w(l) = -7*l**3 + 6*l**2 + 3*l - 23. What is w(3)? -149 Let o(g) = -3*g**3 - g**2 + 3922*g - 3922. What is o(1)? -4 Let i(t) = -763*t - 5417. Calculate i(-13). 4502 Let u(b) = -457973*b - 2289856. Determine u(-5). 9 Let d(v) = -29661*v + 2610174. What is d(88)? 6 Let b(k) = -185*k**3 - 16088*k**2 + 612*k + 270. Determine b(-87). 9 Let k(v) = -220*v + 3138. Give k(14). 58 Let p(t) = -668*t + 4132. Calculate p(6). 124 Let w(j) = 4*j**2 + 1316*j - 9093. Give w(7). 315 Let v(d) = 9*d**3 + 264*d**2 - 156*d + 743. What is v(-30)? 23 Let d(x) = 10*x**3 - 163*x**2 - 324*x - 18. Determine d(18). -342 Let q(g) = 10*g**3 - 1238*g**2 - 289*g + 5091. Give q(124). 7 Let v(i) = i**3 + 205*i**2 + 2504*i + 893. Calculate v(-192). -643 Let g(y) = -53*y**3 + 4*y**2 - 240*y + 698. What is g(3)? -1417 Let v(m) = -1355*m - 17535. Give v(-13). 80 Let u(p) = 12*p**2 - 660*p - 2092. What is u(58)? -4 Let s(m) = 300*m + 54223. Determine s(-181). -77 Let x(h) = -686415*h - 8237022. What is x(-12)? -42 Let o(j) = 31354*j + 658511. Determine o(-21). 77 Let z(v) = -11*v**2 - 456*v - 4396. Determine z(-13). -327 Let b(s) = -s**2 + 1942*s - 777194. Determine b(564). -2 Let p(j) = 3*j**3 + 73*j**2 - 768*j - 20553. Calculate p(-21). -15 Let y(o) = 3653*o + 21934. What is y(-6)? 16 Let d(x) = -2*x**2 - 258381*x - 2841948. What is d(-11)? 1 Let p(y) = y**3 + 27*y**2 + 145*y + 4814. What is p(-28)? -30 Let j(t) = -t**3 + 41*t**2 + 44*t + 6149. Give j(45). 29 Let x(h) = 103*h - 1658. Determine x(11). -525 Let w(x) = 4449*x + 35624. What is w(-8)? 32 Let n(q) = -48*q**2 - 108*q + 94. Give n(-7). -1502 Let b(f) = -4*f**2 - 27*f + 3227. Give b(-32). -5 Let r(m) = -m**3 - 236*m**2 + 202*m - 8300. What is r(-237)? -5 Let y(m) = 4*m**3 - 301*m**2 + 66*m + 95. Give y(75). -580 Let u(v) = -5*v**2 - 1995*v - 82723. Calculate u(-47). -3 Let d(w) = 5573*w + 111602. Give d(-20). 142 Let y(r) = -4*r**3 - 2158*r**2 - 197115*r + 1255. Determine y(-423). -14 Let w(d) = 3*d**3 + 183*d**2 - 8*d + 33. Give w(-61). 521 Let w(k) = 164970*k - 1154826. Determine w(7). -36 Let q(j) = -j**3 - 21*j**2 - 4840*j - 147098. Give q(-29). -10 Let g(a) = -1225*a - 7713. Give g(-6). -363 Let i(y) = y**3 - 240*y**2 - 746*y + 4131. Give i(243). 0 Let n(j) = -j**3 + 118*j**2 + 252*j - 1597. Give n(120). -157 Let l(u) = -u**2 + 9136*u + 164792. Calculate l(-18). 20 Let f(j) = -j**2 - 433*j + 33497. Determine f(67). -3 Let v(j) = 224*j - 6860. What is v(30)? -140 Let g(u) = -8*u**2 - 746*u + 154598. Calculate g(100). -2 Let p(i) = 16188*i - 1295047. Determine p(80). -7 Let o(x) = x**3 + 1495*x**2 + 42509*x - 174. Calculate o(-29). -29 Let t(p) = 6*p**2 + 141307*p + 282596. Give t(-2). 6 Let t(a) = 4*a**2 + 75*a + 1373. What is t(-17)? 1254 Let k(v) = -177*v**3 - 1232*v**2 + 83*v + 236. Determine k(-7). -2 Let z(f) = 6058*f + 60728. Give z(-10). 148 Let i(y) = -24884*y - 4852403. Determine i(-195). -23 Let s(b) = -359*b**2 + 148994*b - 3735. Give s(415). 0 Let r(k) = 2*k**3 - 653*k**2 - 10773*k - 1. Determine r(-16). -2993 Let g(l) = l**3 - 167*l**2 - 549*l + 35704. Determine g(169). 45 Let u(x) = -3765*x + 14555. Give u(4). -505 Let l(q) = -64*q**3 + 627*q**2 + 17*q + 1155. What is l(10)? 25 Let h(z) = 2*z**3 - 912*z**2 - 3684*z + 1838. Determine h(460). -2 Let g(a) = -61*a**2 + 17361*a + 6671. Calculate g(285). -169 Let y(j) = 2*j**3 - 195*j**2 + 80*j + 34. What is y(97)? -1615 Let o(f) = 153268*f - 613191. Give o(4). -119 Let h(a) = -a**3 + 5*a**2 - 30972*a - 186235. What is h(-6)? -7 Let r(n) = n**3 + 49*n**2 + 197*n - 4053. What is r(-42)? 21 Let p(u) = -190*u + 13747. What is p(72)? 67 Let s(l) = -8*l**3 - 15*l**2 + 2*l + 4. Calculate s(-3). 79 Let q(d) = -145*d**2 + 14797*d - 720. What is q(102)? -6 Let w(b) = 93*b**2 - 33491*b + 3993. Calculate w(360). 33 Let u(w) = w**3 + 8*w**2 - 107*w - 374. Determine u(9). 40 Let y(b) = 3542*b**3 - b**2 + 425*b - 424. What is y(1)? 3542 Let o(n) = -31316*n - 1565726. What is o(-50)? 74 Let x(a) = -19*a**3 + a**2 - 62*a - 195. Determine x(-3). 513 Let j(v) = 2*v**2 + 2715*v - 19088. What is j(7)? 15 Let p(o) = o**2 + 144*o + 4853. Determine p(-38). 825 Let c(i) = i**3 - 44*i**2 - 121*i + 902. Determine c(46). -432 Let o(p) = -230*p**2 + 1609*p + 9. Determine o(7). 2 Let w(v) = -35751*v - 429018. Calculate w(-12). -6 Let r(d) = -19353*d - 96675. What is r(-5)? 90 Let t(p) = 8789*p + 87863. Determine t(-10). -27 Let u(s) = -2*s**2 + 163*s + 5291. Give u(105). 356 Let b(g) = 2*g**3 - 140*g**2 - 6739*g + 1949. Determine b(-33). 2 Let y(d) = 409894*d + 20084812. Determine y(-49). 6 Let a(x) = 16*x**2 - 1528*x + 6567. Give a(91). 15 Let q(m) = -4*m**3 + 175*m**2 - 1766*m - 154. Calculate q(16). 6 Let d(g) = -7*g**2 + 462*g - 598. Give d(65). -143 Let r(t) = 2*t**3 - 103*t**2 - 4857*t + 249837. Give r(52). -23 Let w(g) = -108*g - 843. What is w(-6)? -195 Let z(p) = -8*p**3 - 7*p**2 - 332*p - 2584. Determine z(-8). 3720 Let z(r) = 19*r**2 - 2024*r + 3040. What is z(105)? -5 Let l(n) = -4*n**2 + 578*n + 4661. Determine l(-9). -865 Let o(f) = -615*f**2 - 3*f - 55. Determine o(-2). -2509 Let q(s) = 19771*s - 454768. Determin
{ "pile_set_name": "DM Mathematics" }
:50 AM? 7:22 PM How many minutes are there between 10:47 AM and 12:42 PM? 115 What is 660 minutes before 4:06 PM? 5:06 AM What is 252 minutes before 7:30 PM? 3:18 PM How many minutes are there between 11:12 AM and 12:12 PM? 60 What is 6 minutes after 2:30 AM? 2:36 AM What is 77 minutes after 11:10 AM? 12:27 PM How many minutes are there between 11:22 AM and 5:03 PM? 341 How many minutes are there between 5:58 PM and 11:13 PM? 315 What is 528 minutes before 11:21 PM? 2:33 PM How many minutes are there between 12:21 PM and 4:32 PM? 251 What is 514 minutes after 11:20 PM? 7:54 AM How many minutes are there between 9:28 PM and 7:16 AM? 588 How many minutes are there between 12:27 PM and 10:19 PM? 592 How many minutes are there between 1:44 AM and 8:28 AM? 404 How many minutes are there between 5:14 AM and 4:58 PM? 704 What is 568 minutes before 8:43 AM? 11:15 PM What is 414 minutes before 9:15 PM? 2:21 PM What is 156 minutes after 3:18 PM? 5:54 PM How many minutes are there between 12:31 AM and 8:55 AM? 504 How many minutes are there between 7:30 PM and 7:29 AM? 719 What is 609 minutes before 3:20 PM? 5:11 AM How many minutes are there between 1:32 AM and 11:50 AM? 618 What is 359 minutes after 11:49 AM? 5:48 PM What is 644 minutes after 5:42 PM? 4:26 AM How many minutes are there between 1:53 AM and 7:18 AM? 325 What is 51 minutes before 2:20 PM? 1:29 PM How many minutes are there between 10:36 PM and 10:15 AM? 699 How many minutes are there between 4:08 AM and 12:09 PM? 481 How many minutes are there between 1:04 AM and 7:11 AM? 367 How many minutes are there between 9:18 PM and 7:04 AM? 586 What is 49 minutes before 6:14 PM? 5:25 PM What is 617 minutes after 4:36 AM? 2:53 PM What is 355 minutes before 3:17 AM? 9:22 PM What is 418 minutes after 11:21 AM? 6:19 PM What is 376 minutes after 12:50 AM? 7:06 AM What is 539 minutes before 3:09 PM? 6:10 AM How many minutes are there between 8:46 AM and 11:24 AM? 158 What is 104 minutes after 6:30 PM? 8:14 PM How many minutes are there between 4:29 PM and 7:05 PM? 156 What is 323 minutes before 11:26 PM? 6:03 PM How many minutes are there between 8:33 AM and 6:01 PM? 568 What is 387 minutes after 2:42 AM? 9:09 AM How many minutes are there between 11:03 PM and 5:15 AM? 372 What is 185 minutes after 10:53 AM? 1:58 PM What is 503 minutes before 11:13 AM? 2:50 AM What is 251 minutes after 1:18 AM? 5:29 AM What is 681 minutes before 3:54 AM? 4:33 PM How many minutes are there between 10:31 AM and 9:34 PM? 663 How many minutes are there between 3:16 PM and 5:06 PM? 110 How many minutes are there between 6:52 PM and 3:14 AM? 502 What is 421 minutes after 6:01 AM? 1:02 PM How many minutes are there between 7:24 AM and 9:25 AM? 121 How many minutes are there between 12:49 PM and 3:55 PM? 186 What is 474 minutes before 8:58 PM? 1:04 PM How many minutes are there between 2:52 PM and 2:31 AM? 699 What is 176 minutes after 10:54 PM? 1:50 AM What is 702 minutes after 3:14 AM? 2:56 PM What is 260 minutes before 4:28 AM? 12:08 AM How many minutes are there between 10:47 PM and 5:29 AM? 402 What is 35 minutes before 4:17 PM? 3:42 PM How many minutes are there between 11:04 PM and 5:17 AM? 373 How many minutes are there between 12:01 AM and 2:01 AM? 120 What is 688 minutes before 4:52 AM? 5:24 PM What is 160 minutes before 7:32 AM? 4:52 AM How many minutes are there between 11:01 PM and 1:35 AM? 154 What is 277 minutes after 8:19 AM? 12:56 PM How many minutes are there between 7:20 PM and 2:44 AM? 444 How many minutes are there between 1:33 PM and 12:03 AM? 630 How many minutes are there between 1:35 AM and 9:01 AM? 446 What is 398 minutes after 9:37 AM? 4:15 PM How many minutes are there between 8:34 PM and 12:49 AM? 255 How many minutes are there between 5:52 AM and 9:48 AM? 236 What is 359 minutes after 6:20 PM? 12:19 AM How many minutes are there between 7:21 AM and 9:08 AM? 107 How many minutes are there between 3:29 AM and 5:29 AM? 120 How many minutes are there between 12:09 PM and 10:08 PM? 599 How many minutes are there between 2:37 PM and 5:23 PM? 166 What is 89 minutes after 2:23 AM? 3:52 AM What is 492 minutes before 4:25 AM? 8:13 PM What is 388 minutes after 1:24 PM? 7:52 PM What is 310 minutes after 3:57 AM? 9:07 AM How many minutes are there between 4:06 PM and 9:59 PM? 353 How many minutes are there between 3:57 AM and 3:17 PM? 680 How many minutes are there between 7:59 PM and 12:50 AM? 291 What is 89 minutes after 7:20 AM? 8:49 AM How many minutes are there between 6:58 PM and 9:51 PM? 173 How many minutes are there between 6:40 AM and 2:48 PM? 488 What is 171 minutes after 6:52 PM? 9:43 PM What is 505 minutes before 3:58 AM? 7:33 PM How many minutes are there between 5:58 AM and 5:23 PM? 685 How many minutes are there between 9:35 PM and 4:14 AM? 399 How many minutes are there between 5:55 AM and 8:19 AM? 144 What is 246 minutes before 1:36 AM? 9:30 PM What is 490 minutes before 6:06 PM? 9:56 AM How many minutes are there between 7:14 AM and 2:18 PM? 424 What is 400 minutes after 12:51 AM? 7:31 AM What is 715 minutes after 8:57 PM? 8:52 AM How many minutes are there between 7:43 PM and 2:51 AM? 428 What is 705 minutes before 5:27 PM? 5:42 AM How many minutes are there between 11:12 PM and 10:17 AM? 665 What is 624 minutes after 10:40 AM? 9:04 PM How many minutes are there between 2:44 PM and 12:31 AM? 587 What is 715 minutes before 7:39 PM? 7:44 AM What is 661 minutes before 9:46 PM? 10:45 AM How many minutes are there between 5:49 AM and 3:09 PM? 560 How many minutes are there between 6:35 AM and 6:00 PM? 685 How many minutes are there between 4:36 PM and 10:49 PM? 373 How many minutes are there between 8:00 AM and 4:10 PM? 490 What is 10 minutes before 8:38 PM? 8:28 PM What is 354 minutes before 11:03 PM? 5:09 PM What is 420 minutes before 2:54 AM? 7:54 PM How many minutes are there between 4:09 AM and 11:19 AM? 430 How many minutes are there between 5:58 PM and 1:36 AM? 458 What is 279 minutes before 9:57 PM? 5:18 PM What is 480 minutes after 12:33 PM? 8:33 PM What is 101 minutes before 5:10 PM? 3:29 PM How many minutes are there between 7:11 AM and 3:45 PM? 514 How many minutes are there between 10:27 PM and 1:14 AM? 167 What is 463 minutes before 7:43 PM? 12:00 PM How many minutes are there between 2:39 PM and 1:42 AM? 663 What is 675 minutes after 12:09 PM? 11:24 PM How many minutes are there between 1:30 PM and 7:23 PM? 353 How many minutes are there between 10:24 PM and 5:18 AM? 414 How many minutes are there between 7:03 AM and 8:12 AM? 69 How many minutes are there between 5:39 PM and 8:50 PM? 191 How many minutes are there between 1:51 PM and 6:54 PM? 303 What is 367 minutes before 9:14 AM? 3:07 AM What is 675 minutes before 7:09 AM? 7:54 PM What is 207 minutes before 2:35 PM? 11:08 AM What is 677 minutes after 1:21 AM? 12:38 PM What is 130 minutes after 9:47 AM? 11:57 AM How many minutes are there between 4:43 PM and 8:00 PM? 197 What is 538 minutes before 4:53 PM? 7:55 AM How many minutes are there between 9:29 PM and 6:53 AM? 564 What is 581 minutes before 8:00 AM? 10:19 PM What is 158 minutes after 1:52 PM? 4:30 PM What is 253 minutes after 1:23 AM? 5:36 AM How many minutes are there between 3:16 AM and 3:54 AM? 38 What is 332 minutes after 6:08 AM? 11:40 AM How many minutes are there between 8:29 PM and 6:13 AM? 584 How many minutes are there between 2:54 PM and 6:49 PM? 235 What is 421 minutes before 12:25 PM? 5:24 AM What is 501 minutes after 7:14 AM? 3:35 PM What is 36 minutes after 3:08 PM? 3:44 PM What is 286 minutes before 10:48 PM? 6:02 PM How many minutes are there between 11:49 AM and 6:39 PM? 410 What is 520 minutes before 9:55 PM? 1:15 PM How many minutes are there between 10:49 AM and 9:09 PM? 620 How many minutes are there between 6:31 PM and 10:27 PM? 236 How many minutes are there between 11:36 PM and 3:32 AM? 236 How many minutes are there between 9:58 AM and 3:57 PM? 359 What is 374 minutes before 3:10 AM? 8:56 PM How many minutes are there between 4:48 PM and 6:24 PM? 96 What is 592 minutes before 5:12 AM? 7:20 PM How many minutes are there between 10:10 PM and 6:47 AM? 517 How many minutes are there between 10:51 PM and 5:05 AM? 374 How many minutes are there bet
{ "pile_set_name": "DM Mathematics" }
275 and k. 11 Suppose 30*l - 1134 = 9*l. What is the highest common divisor of l and 27? 27 Let r be 7 - 8 - (2 + 0). Let s be 26/39 - 313/r. Let c(a) = 3*a**3 - 4*a**2 - 2*a + 3. Let x be c(3). Calculate the greatest common factor of s and x. 21 Suppose 4*x + 4*p - 144 = 0, 4*x + 79 - 247 = 2*p. Suppose -4*u + 55 = u - 3*m, u + 5*m + 17 = 0. Calculate the highest common factor of x and u. 8 Let n be (3 - -5) + 3 + -4. Suppose -20 = -w - n. Suppose -15 - 11 = -2*p. Calculate the highest common divisor of w and p. 13 Let i = -229 + 832. Calculate the highest common factor of i and 9. 9 Let d be 6/39 + 48/26. Suppose 0 = -d*q - 3*q + 20. Suppose -q*p = -12 - 0. Calculate the highest common divisor of p and 24. 3 Suppose 2*i + 101 = -41. Let a = 101 + i. Calculate the highest common divisor of a and 5. 5 Let v(a) = -a**2 - 14*a + 94. Let r be v(-18). What is the highest common factor of r and 682? 22 Let b(a) = -71*a - 178. Let d be b(-6). Calculate the highest common factor of 40 and d. 8 Suppose 7*t - 8*t + 22 = 0. Let z = 21 - 19. What is the greatest common divisor of z and t? 2 Let z(j) = -7*j + 163. Let t be z(-43). Calculate the greatest common divisor of t and 29. 29 Suppose 30 = x - 3*r, -20*x + 2*r = -24*x + 64. Suppose 5*d + 3*t - 177 = -0*t, 5*d - 179 = -t. What is the greatest common factor of d and x? 18 Let s = 373 - 239. What is the greatest common factor of s and 67? 67 Suppose 66*d - 1954 - 4448 = 0. What is the highest common divisor of 970 and d? 97 Suppose -78*v = -61*v - 1292. Calculate the greatest common divisor of 342 and v. 38 Suppose 5*h + 4 = -0*h - 4*x, 5*h = -2*x - 2. Suppose 5*g - 177 + 12 = h. Let n = 6 - 3. What is the highest common factor of g and n? 3 Let l(r) = -r**3 - 22*r**2 + 50*r - 155. Let x be l(-25). Calculate the highest common divisor of 94 and x. 94 Let u = -14 - -24. Suppose -3*q = -7*q. Let o = u - q. What is the highest common factor of o and 50? 10 Suppose -5*n = -20, 170 + 270 = 4*w - 4*n. Let d = w - 6. Calculate the highest common factor of d and 12. 12 Suppose 49 + 71 = 12*h. Calculate the greatest common factor of 375 and h. 5 Let k be ((-12)/(-15))/((-7)/(-1190)). What is the highest common factor of k and 17? 17 Let y(b) = -4*b - 20. Let w be y(-8). Let q = -9 + 21. Let t be (q/7)/((-10)/(-70)). What is the greatest common factor of t and w? 12 Suppose -108*m + 112*m = 4. Let l = -4 + 11. Calculate the highest common factor of m and l. 1 Suppose 7*y = 4*y - 2*m + 112, -4*y - 4*m + 148 = 0. Let h = 7 + y. Calculate the greatest common factor of 18 and h. 9 Let r(i) be the first derivative of i**3/3 + 9*i**2/2 + 2*i - 5. Let b be r(-9). Let l be 0 - -2 - (-40)/5. What is the highest common divisor of b and l? 2 Suppose -44*j + 756 = -35*j. What is the greatest common divisor of 24 and j? 12 Let l be (-1 - (-142)/10)/((-74)/(-555)). Calculate the greatest common factor of 11 and l. 11 Suppose 3*j - j = 70. Suppose -23*f = -2127 + 517. Calculate the highest common factor of f and j. 35 Let m(z) = -z**3 + 32*z**2 - 48*z + 54. Let s be m(30). What is the greatest common divisor of 18 and s? 18 Let a = 15 - 2. Let y(r) = r**2 - 50*r + 601. Let f be y(30). Calculate the highest common divisor of a and f. 1 Let f(c) = 58*c - 55. Let i be f(5). What is the highest common factor of i and 47? 47 Let k = 25 - 20. Suppose -25 = -2*t + 7*t - k*d, 5*t + d = 5. Suppose 0 = -l - t + 15. Calculate the highest common factor of l and 5. 5 Let b be (32 + -10)*13/2. Let v = 17 + -4. What is the highest common divisor of v and b? 13 Let i be 25/(-3) - 12/18. Let p = i - -13. Suppose r = -3*c - 6, -p*c = -3*r + 2 + 19. What is the greatest common factor of r and 6? 3 Let d(i) be the first derivative of 2*i**2 - 21*i + 1. Let o be d(9). What is the greatest common divisor of o and 15? 15 Suppose 0 = -7*x + 7640 - 388. What is the highest common divisor of 56 and x? 28 Suppose 4*l = 3*r - 22, -3*r + 15*l - 20*l = -13. What is the greatest common divisor of r and 3? 3 Suppose -23*u + 3*u + 280 = 0. What is the greatest common factor of 63 and u? 7 Let s(k) = k + 8. Let w be s(-5). Suppose -5*v - 11 = 2*f, f + 4*f = w*v + 50. Calculate the greatest common divisor of 35 and f. 7 Let q = -168 + 159. Let t be 142/(-6) - 1/3. Let r = q - t. Calculate the greatest common divisor of r and 165. 15 Suppose 0 = 5*u - 22 - 38. Let p = u + 27. What is the highest common divisor of 195 and p? 39 Let x be 280/(-4 - 3)*(-2)/5. Suppose 3*w + w = x. Calculate the highest common divisor of w and 28. 4 Let i(r) = r**2 + 2*r - 10. Suppose 0 = -3*n + 4*j - 34, 5*n = -0*j - 3*j - 18. Let u be i(n). What is the greatest common divisor of 63 and u? 7 Suppose 2*q - 75 = -5*i, -4*q + 0*q + 4*i = -164. Let z = -7708 + 7713. What is the highest common factor of z and q? 5 Suppose -131 = -44*z + 1. Calculate the greatest common divisor of z and 37. 1 Suppose 3*o + 0*o = 726. Suppose o = 5*u - 2*n, 5*n = -u + 2*u - 30. Let k = -2663 - -2673. What is the greatest common divisor of k and u? 10 Suppose 2*s - 2*v = 58, 0*s + 56 = 2*s - 4*v. Calculate the highest common divisor of s and 160. 10 Let h be 2/6 - (-51)/9. Suppose 0 = -2*b + h, 0 = -2*k - b + 3*b. Calculate the greatest common divisor of k and 27. 3 Let a(b) be the first derivative of -5*b**2/2 - 55*b - 3. Let u be a(-20). Calculate the highest common divisor of 9 and u. 9 Let i = -579 - -591. What is the highest common divisor of i and 948? 12 Suppose -8*r = -3*r - 150. Let c be -1 - 10*-1 - 2. Let x(o) = 7*o**2 - 11*o + 4. Let k be x(c). Calculate the highest common factor of k and r. 30 Let n = 56 - 84. Let b = 12 - n. Let z = 8 - -2. What is the highest common factor of z and b? 10 Suppose -27*b + 1188 = -15*b. Calculate the highest common factor of b and 396. 99 Suppose 3*x - 748 = -5*b, 4*x + 768 = 5*b + 2*x. Suppose 0*c + 4*o = 3*c - b, 4*o - 232 = -5*c. What is the highest common divisor of 3 and c? 3 Let t = -1882 - -2026. Calculate the greatest common factor of 2736 and t. 144 Suppose 0 = -0*q - q + 49. Suppose 2*p - 12 = -2*a, -2 = -a - 2*p - 3*p. Calculate the greatest common factor of q and a. 7 Suppose 816 - 1080 = -3*y. Suppose 2*v = d - 2, -d - v - 4 = -5*v. Calculate the greatest common factor of y and d. 8 Let f(h) = -h**3 + 5*h**2 + 9*h - 10. Let x be f(6). Let l(w) = w**3 + 22*w**2 - 22*w + 63. Let g be l(-23). What is the highest common factor of g and x? 8 Let b be 32472/287 - -12*(-2)/21. Calculate the highest common divisor of b and 528. 16 Suppose -10*h + 376 = -2*h. Calculate the greatest common factor of 329 and h. 47 Suppose 29 + 163 = 16*f. Calculate the highest common divisor of f and 270. 6 Suppose 18*c = 704 - 308. Calculate the highest common factor of c and 2882. 22 Let c be 12/(-90) + 6/45. Suppose c = -3*k + 14*k - 836. Let m(r) = 2*r**3 + r**2 - 2*r + 3. Let s be m(2). Calculate the highest common divisor of k and s. 19 Suppose -9 - 3 = -4*t. Suppose 0 = 4*n - 0*w - t*w + 72, 4*n + 3*w = -48. Let x = n + 24. What is the highest common factor of x and 9? 9 Suppose 0 = 4*u - u - 3, 3*k = 2*u + 328. Let n(l) = -3*l**2 + 164*l - 98. Let p be n(54). Calculate the greatest common divisor of k and p. 10 Let x(h) = 71*h**2 + 1. Suppose 0 = -2*r + 4. Let f be (2/r)/(-1*1). Let v be x(f). What is the greatest common factor of v and 18? 18 Let j be 4 + (52073/84 - (-2)/24). Calculate the greatest common factor of j and 16. 16 Let s be (-2)/6*132/(-2). Let v = 574 + -420. What is the greatest common factor of s and v? 22 Let a = -5 + 195. What is the highest common factor of 30 and a? 10 Let s = 11 + 7. Suppose -s + 102 = v. Let i = 28 - 14. Calculate the highest common divisor of i and v. 14 Let p be (-2)/(((-10)/(-52))/(-5)). Let q = 80 - p. Let z = q + -27. What is the highest common divisor of z and 1? 1 Suppose -2*l + 13 = 5. Suppose l*x + 3 - 19 = 0. Suppose 28 = 2*b + x. Calculate the greatest common factor of 36 and b. 12 Let t = -9 + 1. Let y = t - -16. Suppose 24 - y = 2*h. What is the highest common divisor of 88 and h? 8 Let a = 2426 + -2402. Let y be (-32)/(22/12 + -2). What is the greatest common factor of a and y? 24 Suppose -25740 = 41*r - 50*r. What is the highest common divisor of r and 20? 20 Let g(z) = z**2 - 451*z + 447*z - 6*z**3 - 3*z**2
{ "pile_set_name": "DM Mathematics" }
prime factors of c? 2, 13, 229 Suppose -77*m - 15386 = -78*m. List the prime factors of (2/8)/(m/5128 - 3). 641 Let a be (13 + -11)/(2/1841). Suppose 0*d = -7*d + a. List the prime factors of d. 263 Let a(h) = -8*h - 42. Let g be a(-8). List the prime factors of (-1 - -185)*(77/g)/7. 2, 23 Suppose 96*b = 87*b + 6489. Let c = -355 + b. What are the prime factors of c? 2, 3, 61 Suppose 0 = -15*c + 787417 - 158272. What are the prime factors of ((-3)/8)/(-1) + c/24? 2, 19, 23 Let j(o) = -1585*o - 1988. What are the prime factors of j(-6)? 2, 3761 Suppose 13*j = 18*j - 90. Suppose a = -i + 499, 0 = -j*i + 15*i + 4*a + 1476. List the prime factors of i. 2, 31 Suppose -2*x = -8*d - 5*x + 55380, -4*d = 4*x - 27700. List the prime factors of d. 3, 769 Suppose 205*c = 208*c. Suppose c = -k + 75 - 27. What are the prime factors of k? 2, 3 Suppose 115*r - 118*r + 6 = 0. Suppose 0*g = n - 4*g - 250, 5*n + r*g - 1162 = 0. What are the prime factors of n? 2, 3, 13 Let f = 132 - 139. What are the prime factors of f - 500/(-70) - 11590/(-14)? 2, 3, 23 What are the prime factors of (41 - -20)/((-2)/(-642)) - 6? 3, 5, 29 Suppose 4*b - 6*b - 10 = 0, 0 = -s + 5*b + 29. Suppose o + p = -4*o + 578, s*p - 12 = 0. List the prime factors of o. 5, 23 Let s(p) = p**3 + 42*p**2 + 15*p + 65. Let l be s(-26). Suppose -15*i + 10809 = -l. List the prime factors of i. 2, 5, 71 Let i(d) = 398*d + 230. List the prime factors of i(9). 2, 953 Let p = 15753 + 740. List the prime factors of p. 16493 Let v = 2754 - 2254. List the prime factors of v. 2, 5 Suppose 2532 = -10*o + 10022. Let m = o + -620. List the prime factors of m. 3, 43 What are the prime factors of (-28)/18 + 17584768/423? 2, 5, 4157 Let s = 625 + -448. Let v = s - -174. List the prime factors of v. 3, 13 Let j = -2629 - -7511. What are the prime factors of j? 2, 2441 Suppose 0 = 3*k - 6, 8 = 2*l - 4*k - k. Suppose -l*w + 4*w - 780 = -5*q, 4*q - 2*w = 624. List the prime factors of q. 2, 3, 13 Let o = 12 - 10. Suppose -o*c = -5*p + 3*c + 35, -2*p = -3*c - 19. What are the prime factors of ((-6)/p)/((-5)/45)? 3 Suppose -24*j = -38*j + 35140. What are the prime factors of j? 2, 5, 251 Let n be 2/(-14) + 44620/(-35) + -7. Let i = -214 - n. What are the prime factors of i? 2, 3, 89 Let q = -52 + 53. Let m = q - -2. Suppose m*a = -3*i + 405, -a - 3*a + 539 = 3*i. List the prime factors of a. 2, 67 Suppose -4*k - 5*f = 45 - 1, 2*k - 3*f = 0. Let u(g) = -g**3 - 7*g**2 - 7*g - 2. Let h be u(k). List the prime factors of ((-424)/(-5))/(h/10). 2, 53 Let h = 8191 + 17782. List the prime factors of h. 19, 1367 Suppose -89*a - 12*a - 23*a + 3227100 = 0. List the prime factors of a. 3, 5, 347 Let v = 373 - 361. Suppose -v*n = -7*n - 3590. List the prime factors of n. 2, 359 Suppose 10*z + 101 - 41 = 0. What are the prime factors of 11/((-33)/z) - -243? 5, 7 Let p(i) = i**3 + 68*i**2 + 50*i - 129. List the prime factors of p(-66). 3, 587 List the prime factors of (-203)/(-9) - ((-2208)/108 + 20). 23 Suppose u + 60 = -3*u - 2*r, 5*u = -2*r - 76. Let j be (-35)/(-10)*u/(-14). List the prime factors of (4*(-796)/(-32))/(2/j). 199 Suppose 22 = g + 5*t, g - t + 14 = 6*g. Suppose -g*l - 69 = -5*v - 23, 0 = -2*v + 3*l + 14. Suppose v*w = 9*w + 49. List the prime factors of w. 7 Let o = -1479 + 4373. What are the prime factors of o? 2, 1447 Suppose 0 = c + m + 1877, m - 5627 = 6*c - 3*c. List the prime factors of (-12)/(-21)*c/(-8). 2, 67 Suppose 5*j - 14*b = -18*b + 20, 2*b = 3*j - 12. Suppose -j*k + 2*a + 1748 = -106, -3*k - 4*a + 1363 = 0. List the prime factors of k. 461 List the prime factors of ((-2848)/(-890))/(0 + (-4714)/(-4710) + -1). 2, 3, 157 Suppose -5*t = 10, -3*t - 4 = -c - 5*t. Suppose 3*h + 4751 = c*q - 3*q, 949 = q - h. List the prime factors of q. 2, 7, 17 List the prime factors of 108/144 + 54586/8 - -4. 2, 3, 569 Suppose -2*v - 12*v = 4*v. Let a be (3 - 1)/((-8)/(-12)). Let s = a + v. List the prime factors of s. 3 Let a(d) be the third derivative of d**6/120 - 3*d**5/10 - d**4/12 + 65*d**3/6 - 131*d**2. List the prime factors of a(19). 2, 97 Let d be (285/20)/((-3)/48) + -2. Let x = d + 1301. List the prime factors of x. 3, 7, 17 Let r = -61 - -65. Suppose 17 = u - 3*a, 0*u = -r*u + a + 13. Suppose 3*w - u*x - 173 = -0*w, 5*w + 5*x - 255 = 0. List the prime factors of w. 5, 11 Suppose 0 = 4*y - 5*r - 44988, 27*y - 56272 = 22*y - 3*r. What are the prime factors of y? 2, 29, 97 Let z be (-12649)/(-39) - (-2)/(-6). Suppose -2*n - 468 = -3*i + n, -5*n - z = -2*i. List the prime factors of i. 2, 19 Let j = 41231 - 5702. What are the prime factors of j? 3, 13, 911 Let n be (-1)/(20/8 - 2). Let x(a) = -58*a**3 - 2*a**2 + a + 2. What are the prime factors of x(n)? 2, 3, 19 Let v(s) = -5334*s - 5205. What are the prime factors of v(-5)? 3, 5, 53 Suppose 28 = 4*r + 4. Let d(i) = 7*i + 28. Let h be d(r). Let f = 29 + h. What are the prime factors of f? 3, 11 Suppose -645047 - 226145 = -47*j. What are the prime factors of j? 2, 7, 331 Let h be 5 - 0*1/(-6). List the prime factors of (2*(-8)/h)/(14/(-2135)). 2, 61 Let u(j) = -j**3 + 11*j**2 + j - 30. Let k be u(-10). Suppose 8*c + 5*o + 1050 = 9*c, 2*c - 2*o = k. List the prime factors of c. 5, 41 Let w(i) = 34*i**2 + 6*i + 7. Let j be w(-2). Let d = j + -148. Let f = d + 195. What are the prime factors of f? 2, 89 Let o(f) = 123*f**2 + 33*f + 118. List the prime factors of o(-3). 2, 563 Let a = 3829 + 218. What are the prime factors of a? 3, 19, 71 Let i = 15464 + -10107. List the prime factors of i. 11, 487 Suppose -7*v + 8 = -76. Let c be (-9)/v - (63/(-12))/7. Suppose q + 8*q - 405 = c. List the prime factors of q. 3, 5 Let v(z) = z**2 + 19*z - 38. Let h be v(-21). Suppose -81*k = -77*k - h. Suppose -k - 14 = -j. List the prime factors of j. 3, 5 Suppose 0 = -13*s - 30 - 22. What are the prime factors of 578 + (s - -4) + (-6)/6? 577 List the prime factors of ((-2382)/(-7))/(((-782)/(-483))/34). 2, 3, 397 Suppose 679 = w + 5*o + 174, 5*o = w - 545. List the prime factors of (32/5)/(7/w). 2, 3, 5 Suppose 0 = 15*i - 59 + 314. Let u(o) = o**3 + 20*o**2 - 14*o + 6. What are the prime factors of u(i)? 11, 101 What are the prime factors of (-3)/16*12*1869688/(-87)? 2, 3, 8059 Let z = 125536 - 59598. List the prime factors of z. 2, 32969 Let g(r) = -73*r - 8. Let l = -73 + 25. Let m = l + 46. List the prime factors of g(m). 2, 3, 23 Suppose -4*d + 131 = n, -3*d + 5*n + 14 = -67. Let i(a) = 2*a**2 - 26*a - 29. What are the prime factors of i(d)? 1187 Let i be 48/(-192) - 1365/(-4). Let j = -45 + i. What are the prime factors of j? 2, 37 Suppose 2*x - 5*d - 67312 = 0, -d = 11*x - 6*x - 168253. What are the prime factors of x? 3, 3739 Let u = 13 - 9. Suppose -u*z = 2*x - 1134, 8 + 2 = 2*x. What are the prime factors of z? 281 Suppose -4*k + x + 24 = 0, -x = 3*k + 4*x + 5. Let i = -199 + 278. Suppose c + m - 2*m - i = 0, 0 = -k*m. What are the prime factors of c? 79 Let x(a) = -a**2 - 17*a - 43. Let n(o) = -12*o**3 - 3*o**2 + 2*o. Let l be n(1). Let w be x(l). Suppose -w*m + 10*m = 129. What are the prime factors of m? 3, 43 Suppose -30*w = 41*w + 42*w - 68026. List the prime factors of w. 2, 7, 43 Let s(i) = 1356*i**3 - 3*i**2 - 3*i + 8. List the prime factors of s(2). 2, 5419 Let y be (-232)/60 - 16/120. What are the prime factors of -62*-1*(8/y - -3)? 2, 31 List the prime factors of (-1 + (-6884)/(-8))*102/9. 3, 17, 191 Suppose 69*i - 28*i + 19024 = 0. Suppose 0 = -4*x + x - 2253. Let f = i - x. What are the prime factors of f? 7, 41 Let z(q) = -34*q**3 + 2*q**2 - 162*q - 1487. What are the prime factors of z(-10)? 13, 19, 139 Let y(o) = -46*o - 70. Let u(f) = 31*f + 47. Let q(l) = -7*u(l) - 5*y(l). Let t be q(18). Let p = t + -122. What are the prime factors of p? 7, 19 Suppose -329*k - 4*j - 56584 = -333*k, 2*j - 14131 = -k. List the prime factors of k. 79, 179 Suppose 4*f - 176*h + 171*h = 76978, 4*f + h - 76942 = 0. What are the prime factors of f? 19237 Let s(j) = -1662*j + 28. List the prime factors of s(-7). 2, 7, 17 Suppose 23*x = -19*x + 55*x - 167921. List the prime factors of x. 12917 Suppose -8*i + 312885 = -9*i + 18*i. What are the prime factors of i? 3, 5, 409 Let s = -28665 - -56975. List the prime factors of s. 2, 5, 19, 149 Suppose -90*a = -119*a + 342287. List
{ "pile_set_name": "DM Mathematics" }
- 29623*y + 42. Determine u(-56). -14 Let v(l) = 10*l**2 + 279*l - 261. Give v(-27). -504 Let k(a) = 84*a**2 + 112*a - 221. Calculate k(2). 339 Let r(k) = -9*k**3 - 404*k**2 + 53*k - 449. Give r(-45). -809 Let r(b) = -13448*b - 106332. Give r(-8). 1252 Let l(x) = -53*x**2 - 480*x + 17090. What is l(14)? -18 Let c(a) = 48758*a - 438788. Give c(9). 34 Let a(z) = -2*z**2 - 12639*z + 113685. Determine a(9). -228 Let h(i) = -3705*i + 118557. Determine h(32). -3 Let i(a) = -259*a - 6911. What is i(-28)? 341 Let k(t) = 33*t**2 - 5441*t - 173. What is k(165)? 487 Let n(v) = 3356*v + 80544. Determine n(-24). 0 Let h(l) = -65303*l - 1110275. Calculate h(-17). -124 Let g(i) = 2*i**2 + 767*i - 3083. What is g(4)? 17 Let p(a) = 135*a + 57135. Determine p(-424). -105 Let a(v) = 5*v**3 + 148*v**2 + 1088*v - 50. Give a(-19). -1589 Let r(k) = -k**3 - 328*k**2 - 973*k + 666. Calculate r(-325). 16 Let d(x) = -1486*x + 7211. Give d(5). -219 Let q(y) = 1088*y + 19014. Calculate q(-18). -570 Let q(s) = -54091*s - 432719. Give q(-8). 9 Let r(v) = -7759*v - 23186. Determine r(-3). 91 Let o(n) = -15*n**2 - 1686*n + 1012. Calculate o(-113). -5 Let z(q) = 3916*q + 46978. Calculate z(-12). -14 Let w(n) = -1989*n - 270433. What is w(-136)? 71 Let w(k) = -k**3 - 18*k**2 - 1837*k - 35263. Determine w(-19). 1 Let g(k) = 1182*k - 10570. What is g(9)? 68 Let r(m) = 58888*m - 1354456. Give r(23). -32 Let n(y) = -135713*y + 814339. Determine n(6). 61 Let b(a) = a**3 + 27*a**2 - 299*a - 939. What is b(-35)? -274 Let k(p) = -p**3 + 21*p**2 - 73*p + 510. Calculate k(11). 917 Let t(b) = -23*b**2 + 64*b + 2923. Give t(-10). -17 Let y(n) = -4*n**2 + 24431*n + 122252. What is y(-5)? -3 Let i(f) = 225*f**3 - 13*f**2 - 15*f - 4. Give i(-1). -227 Let o(w) = 9141*w - 6298154. Give o(689). -5 Let x(c) = 2789*c + 147790. Calculate x(-53). -27 Let d(y) = -2411*y - 26484. What is d(-11)? 37 Let u(h) = 3*h + 485. What is u(20)? 545 Let z(t) = -34*t**2 - 503*t - 1663. Calculate z(-9). 110 Let l(a) = 35526*a + 142085. Calculate l(-4). -19 Let z(b) = -8218*b + 303767. Give z(37). -299 Let t(a) = 17*a**2 + 386*a - 2060. Give t(-27). -89 Let r(j) = -j**3 - 41*j**2 - 208*j + 202. Determine r(-35). 132 Let a(c) = c**3 - 5*c**2 + 150*c - 1559. Calculate a(10). 441 Let q(c) = 3*c**3 + 3389*c**2 + 9007*c - 10099. Determine q(-1127). 44 Let h(t) = -127372*t - 1273690. What is h(-10)? 30 Let w(u) = -u**3 - 34*u**2 - 249*u + 1591. What is w(4)? -13 Let r(a) = -a**3 - 27*a**2 + 122*a + 62. Calculate r(-31). 124 Let b(l) = -85*l**2 - 7135*l + 453. What is b(-84)? 33 Let u(v) = v**3 - 812*v**2 + 131707*v + 1107. Determine u(224). -13 Let w(h) = 2*h**3 - 26*h**2 + 50*h + 169. Give w(9). -29 Let a(r) = -514*r + 4541. Give a(12). -1627 Let v(y) = -12*y**2 - 186*y - 347. Determine v(-2). -23 Let u(v) = v**2 - 1523*v + 59307. Calculate u(40). -13 Let q(a) = -340611*a + 2384173. Determine q(7). -104 Let p(f) = -f**2 - 1792*f - 39197. What is p(-22)? -257 Let j(q) = q**2 + 149*q + 1869. What is j(-14)? -21 Let w(f) = -430*f - 35152. What is w(-82)? 108 Let q(h) = 3*h**2 + 428*h + 11672. Determine q(-106). 12 Let r(i) = -245*i - 709. Calculate r(4). -1689 Let i(x) = -2*x**2 - 67*x + 4689. Calculate i(-69). -210 Let s(w) = w**3 - 58*w**2 + 212*w + 273. Give s(54). 57 Let t(u) = 2*u**3 - 27*u**2 - 23*u + 286. Calculate t(15). 616 Let w(q) = -627*q + 236376. Calculate w(377). -3 Let o(n) = -1430*n + 2529. Determine o(0). 2529 Let g(u) = -491*u - 1428. Calculate g(-3). 45 Let q(v) = -2*v**2 - 31505*v + 220635. Give q(7). 2 Let s(u) = -267*u**2 + 5700*u - 5701. Determine s(1). -268 Let p(m) = -m**3 + 3*m**2 - 2434*m + 9734. What is p(4)? -18 Let u(z) = -91*z**2 + 104587*z - 32166. Give u(1149). 6 Let f(p) = 3706*p - 48051. Determine f(13). 127 Let r(s) = -5*s**3 + 40*s**2 + 155*s + 35. Calculate r(-3). 65 Let g(m) = 31*m**2 - 3770*m - 68249. Calculate g(-16). 7 Let j(u) = -1553*u + 181955. Calculate j(117). 254 Let l(w) = 72*w + 758. Calculate l(-18). -538 Let k(a) = 13*a**2 - 127*a - 1173. Calculate k(12). -825 Let p(f) = 694*f - 11463. Calculate p(14). -1747 Let t(p) = -p**3 - 34*p**2 + 45*p + 3457. Give t(-34). 1927 Let s(y) = 2*y**3 + 26*y**2 + 45204*y + 633266. Determine s(-14). 18 Let f(h) = -59*h**2 - 13913*h + 2599. Calculate f(-236). 3 Let p(c) = -13016*c - 182252. What is p(-14)? -28 Let g(d) = -1502*d + 13574. Give g(9). 56 Let q(x) = -4601*x + 280722. Determine q(61). 61 Let u(k) = 44*k - 1914. Calculate u(24). -858 Let u(j) = -j**3 - 28*j**2 + 24*j + 287. Determine u(-3). -10 Let x(q) = 3*q**3 - 11*q**2 - 76*q + 2. Determine x(-6). -586 Let x(q) = 134571*q - 6593987. What is x(49)? -8 Let w(f) = f**3 - 22*f**2 + 137*f - 1516. Determine w(19). 4 Let o(u) = -u**2 - 594*u + 18715. Determine o(30). -5 Let h(q) = -q**3 + 15*q**2 - 123*q + 6. Give h(13). -1255 Let c(z) = z**2 - 292*z + 11437. Determine c(49). -470 Let k(n) = n**3 + 280*n**2 - 1496*n - 3553. Give k(7). 38 Let x(s) = 289*s + 2721. What is x(-8)? 409 Let t(b) = -b**3 + 90*b**2 + 1941*b + 330. Determine t(108). 6 Let q(y) = 20*y**3 + 7212*y**2 + 4315*y - 1794. Determine q(-360). 6 Let d(i) = -5242*i - 52363. What is d(-10)? 57 Let z(q) = 2*q**3 - 11*q**2 - 16221*q + 28058. Give z(92). -2 Let i(g) = 82852*g + 911368. Calculate i(-11). -4 Let f(a) = -128946*a + 2450048. Give f(19). 74 Let a(q) = -121*q - 5539. What is a(-45)? -94 Let w(f) = -21426*f - 2014111. Determine w(-94). -67 Let m(z) = 3*z**2 + 839*z - 3374. Determine m(4). 30 Let d(s) = 19*s**2 - 6395*s + 3697. Determine d(336). 1 Let g(c) = -9230*c - 9227. Determine g(-1). 3 Let m(c) = -1502910*c + 9017468. What is m(6)? 8 Let i(x) = -x**2 + 6706*x + 26840. Determine i(-4). 0 Let t(i) = -11*i**2 - 1080*i - 2522. Give t(-96). -218 Let n(a) = 2*a**3 - 50*a**2 + 244*a + 702. What is n(16)? -2 Let f(k) = -k**3 + 1204*k**2 + 34537*k + 1138. Give f(-28). -10 Let o(y) = 15*y**2 - 25*y - 12. What is o(0)? -12 Let z(l) = 689*l - 2102. What is z(3)? -35 Let v(h) = h**3 + 31*h**2 - 133*h - 3017. Give v(-9). -38 Let t(b) = 2*b**3 - 755*b**2 + 2623*b - 1868. Determine t(374). 2 Let o(c) = -1628*c - 55401. What is o(-34)? -49 Let p(b) = -1794*b + 9128. Determine p(4). 1952 Let a(v) = v**3 + 287*v**2 + 10892*v - 25. What is a(-45)? -115 Let z(m) = -6*m**3 - 391*m**2 - 17*m + 3135. Determine z(-65). 15 Let a(z) = 106*z + 1255. Calculate a(-16). -441 Let c(p) = -2*p**2 + 62*p - 2943. Give c(34). -3147 Let u(c) = -347*c**3 - 35*c**2 + 6*c + 40. What is u(-1)? 346 Let s(h) = -114061*h - 228122. Calculate s(-2). 0 Let l(w) = 237*w - 93104. Determine l(393). 37 Let l(c) = 1028*c - 30657. Calculate l(34). 4295 Let s(d) = 174*d**2 + 153823*d + 6182. Give s(-884). -6 Let w(p) = 38*p + 1172. Calculate w(-30). 32 Let i(u) = -2*u**3 - 158*u**2 - 862*u + 17. Determine i(-6). -67 Let q(a) = a**3 - 40*a**2 + 24049*a - 911026. What is q(38)? -52 Let k(c) = 8281*c + 1507140. What is k(-182)? -2 Let y(w) = -9746*w + 8020976. Determine y(823). 18 Let c(m) = -153*m**2 - 4288*m - 123. Determine c(-28). -11 Let s(a) = a**3 + 76*a**2 - 389*a - 5556. Calculate s(-80). -36 Let n(w) = -1997*w - 22995. Calculate n(-9). -5022 Let o(z) = -2*z**3 + 104*z**2 + 207*z + 558. What is o(54)? 72 Let f(v) = -v**3 - 28*v**2 - 60*v + 146. What is f(-27)? 1037 Let o(s) = s**3 + 12*s**2 - 7425*s - 89101. Give o(-12). -1 Let q(h) = 20840*h - 958655. Calculate q(46). -15 Let d(x) = -x**2 + 126*x + 169894. Determine d(-354). -26 Let k(m) = -260*m + 1045. Give k(2). 525 Let p(q) = -q**3 - 5*q**2 + 19*q + 79. Determine p(-4). -13 Let s(i) = -i**2 - 17063*i - 340872. What is s(-20)? -12 Let b(t) = 13*t**2 + 3315*t - 23835. Give b(7). 7 Let p(z) = z**3 + 122*z**2 + 120*z - 137. Give p(-121). -16 Let p(b) = -b**3 + 49*b**2 + 252*b + 4307. Give p(55). 17 Let d(q) = -131*q**3 + 1963*q**2 + 14*q - 14. Determine d(15). -254 Let a(k) = 31*k**2 + 109*k + 523. Determine a(-5). 753 Let g(n) = -436*n**2 - 107*n + 3. Calculate g(-1). -326 Let q(o) = -o**3 - 2*o**2 - 288*o - 2255. Give q(-8). 433 Let n(r) = -r**3 - 364*r**2 - 1802*r - 50. What is n(-5)? -15 Let q(k) = -k**3 + 348*k**2 + 6970*k + 1080. Determine q(367). -21 Let i(k) = 1218*k + 861. Give i(-1). -357 Let n(l) = 689*l + 31746. What is n(-47)? -637 Let u(m) = 33*m - 1502. What is u(-21)? -2195 Let g(f)
{ "pile_set_name": "DM Mathematics" }
uppose -3*h = -0 - f. Suppose 20*i = h*i - 192. Does 12 divide i? True Let o = 1707 - 1011. Suppose -f + 1179 = 5*u + 2*f, -o = -3*u + 2*f. Is u a multiple of 15? False Let r = 951 + 722. Is r a multiple of 20? False Let a(w) be the third derivative of 3*w**6/8 - w**5/20 - 5*w**4/12 + 2*w**3 - w**2 - 23*w. Is a(1) a multiple of 3? False Suppose 0 = 68*x - 57*x - 2959. Suppose u + 126 = 4*z + 396, -u + 3*z = -x. Is 12 a factor of u? False Let f(l) = 6*l + 132. Let b be f(-21). Suppose -b*s - 4160 = -22*s. Is 13 a factor of s? True Let k = 29413 + 8219. Is 15 a factor of k? False Let c(m) = 7495*m**2 - 9*m. Does 112 divide c(-1)? True Suppose 2*h - 4944 = 1220. Does 67 divide h? True Let r be 4*((-138)/(-48))/(1/4). Suppose -r*v - 217 = -5*m - 47*v, -m - 2*v = -47. Is 2 a factor of m? False Let x be 1 + (-3 - 25/(-5)). Suppose 4*a + x*p + 2142 = -a, 3*p + 1290 = -3*a. Is (1/(-4) - (-3)/(-36))*a a multiple of 18? False Let b = 137 - -79. Suppose l - b = 282. Is 58 a factor of l? False Suppose -19*z + 22*z = 48. Suppose -3*u + 79 = 2*r, 4*u + z = 3*r - 128. Is r a multiple of 4? True Let x(z) = 44*z + 8. Let r be x(-5). Let g = 338 - r. Is g a multiple of 25? True Suppose -5066*i = -5009*i - 80997. Is i even? False Let w = -107 - -57. Does 13 divide 3170/(-25)*w/20? False Let v = -76 - -86. Suppose 25*i - 2065 = -v*i. Does 26 divide i? False Let q = -10 + -16. Let i = q - -24. Does 30 divide i/(-14) + (-2 - (-860)/7)? False Let f(y) = 3277*y + 153. Is f(3) a multiple of 32? True Is 1/(-8) + (134793/136 - -3) a multiple of 3? False Suppose 62505 - 194136 = -17*g. Is 16 a factor of g? False Suppose -125 = -5*u - 7*j + 4*j, -u + 2*j = -38. Let r be 2 + 1 - (-1 - -4). Suppose h - 22 - u = r. Is h a multiple of 31? False Let p(u) = -8*u**2 - 239*u + 31. Let z be p(-33). Is -2 + -3 + 9 - (z - 0) a multiple of 51? False Suppose -2*d + 41832 = 21*d + 60*d. Is d a multiple of 8? True Let q(g) = -1 - 2 - 5*g - 2 - 5. Let f(m) = -6*m + 59. Let k be f(11). Is 5 a factor of q(k)? True Let x be (-3 - (-38)/14)*-7. Suppose -3*h = 2*w - 6, -x*h + 3*w + 0 = -17. Suppose 4*v + v - 3*d - 54 = 0, -12 = h*d. Is v even? False Is 11 a factor of 12983 + (1/2)/(-15 - (-1513)/102)? True Is 19 a factor of (6308256/(-23))/(-12) - (1 - (-4)/(-2))? True Let y be 5*(-5)/5*15. Let c = 121 - y. Let l = c - 135. Is 9 a factor of l? False Suppose -4*b - 526 = -586. Is (10/b)/(6/630) a multiple of 6? False Let f(i) = 7*i + 1. Let a(n) = -1040*n - 156. Let z(w) = -2*a(w) - 312*f(w). Let q = 0 + -1. Is z(q) a multiple of 13? True Let s(w) = w**3 + 46*w**2 + 21*w - 544. Does 17 divide s(-45)? False Let h(q) = -q**3 - 5*q**2 + 3*q + 18. Let f be h(-3). Let v be (-8 + 11)*(-312)/f. Is 11 a factor of v/20*(-15)/(-6)? False Let p = -1181 - -655. Let m = 648 + p. Does 61 divide m? True Let b(x) = -x**3 - 59*x**2 - 80*x + 268. Is 86 a factor of b(-59)? True Let o = -121 - -120. Does 8 divide (2 - o - 3) + 18 + -2? True Suppose 9*q - 59076 = -3*q. Is q a multiple of 50? False Suppose -6*t = q - 9*t - 740, 0 = -3*t - 12. Is q a multiple of 16? False Let n(s) = 2*s + 45 + s**2 - 60 - 40. Is n(13) a multiple of 10? True Suppose -3*q = -468 - 6507. Is q a multiple of 25? True Suppose -4*c + 9*h + 35726 = 0, 39*c + 35678 = 43*c - h. Does 49 divide c? True Suppose 3*c - c = 184. Let n(v) = 4*v**2 - 4*v + 4. Let t be n(4). Let b = c - t. Is b a multiple of 8? True Let m(r) = -4*r**3 + 9*r**2 + 3*r + 31. Is 6 a factor of m(-7)? False Let b = 7267 + -4074. Does 23 divide b? False Let a(m) = -m**3 + m**2 - 20*m - 26. Let x(y) = y**3 + 7*y + 8. Let r(p) = -2*a(p) - 7*x(p). Does 10 divide r(-2)? False Is 24 a factor of 75736/12 + (22/6 - 3)? True Let o(u) = u**3 - 36*u**2 - 515*u - 69. Let x be o(47). Let r be 37/(-2) + (-2)/(-4). Let n = r + x. Is n a multiple of 7? True Let b(l) = 40*l + 26. Let x be b(-6). Let u = -142 - x. Suppose -u = -2*d + 34. Does 11 divide d? False Is 5 a factor of (-19)/2*(212 - 2454)? False Let y(i) = 6*i**2 - 7*i + 10. Let t be y(9). Suppose -4*u + t = 21. Is u a multiple of 19? False Let r = 132332 - 80500. Does 124 divide r? True Is (1860/16)/((57/72)/19) a multiple of 5? True Let x = 250 - 246. Suppose x*z - 3616 = -0*z. Is 53 a factor of z? False Let x be (59 + 1)*300/24. Let f = -497 + x. Is 11 a factor of f? True Let u(m) = 33*m + 175. Let d be u(-26). Let a = -505 - d. Does 8 divide a? False Let b = -22 + 26. Suppose -b*x = 5 + 3. Is 32 a factor of (48/9)/((-3)/27)*x? True Suppose 1226 = m - 3*j, -5*m + 0*j + 6102 = -j. Let z = m + -183. Does 17 divide z? True Suppose -36*r = 59*r - 376752 - 1538068. Is 32 a factor of r? False Suppose -2*u - 19 = -5*v, -25 = -5*v - 2*u + 6. Suppose 3*i = 2*i - v. Let j = 16 - i. Does 7 divide j? True Let p = 19 - 16. Suppose -p = -5*t + 12. Suppose 2*w + 33 = t*w. Is 13 a factor of w? False Suppose 0 = -11*g - 5*r + 68817, 0*r + 2*r = -5*g + 31281. Is g a multiple of 4? False Let m = 14980 + 2288. Is m a multiple of 138? False Let b(s) = 24*s**2 - 49*s + 14. Let j be b(-7). Let a = -1077 + j. Is a a multiple of 38? True Let o = -374 + 376. Suppose -2*d - o = 0, 3*l - d - 298 = -3*d. Is l a multiple of 2? True Let y(j) = 91*j**3 - 13*j**2 - 28*j - 23. Is 7 a factor of y(4)? True Suppose -232*k + 225*k = -14. Suppose 2*l - k*i = 710, 2*i + 1418 = -24*l + 28*l. Is l a multiple of 29? False Let m = 58 + -40. Let w be ((-1)/1)/(m/(-72)) + -6. Let v(g) = -8*g**3 + 2*g**2 + 6*g + 3. Is 23 a factor of v(w)? False Let u = 253 - 343. Is (-39 - u)*(-3)/(18/(-68)) a multiple of 17? True Let b = -12119 + 15468. Does 5 divide b? False Let d(s) = s**2 + 19*s + 69. Let a be d(-10). Is 14 a factor of ((a/4)/7)/(3/(-56))? True Let r(f) = f**2 + 30*f + 384. Does 11 divide r(36)? False Let p(h) = -7*h**3 + 19*h**2 - 91*h - 56. Let y(v) = -6*v**3 + 21*v**2 - 92*v - 55. Let b(j) = 5*p(j) - 6*y(j). Does 9 divide b(28)? True Let z(u) = -u + 6. Let a be z(6). Let p(q) = -6 + 3 + q + a + 3*q. Does 12 divide p(17)? False Suppose m - 5*m + 34 = 2*p, 4*p + 36 = 5*m. Let s(d) = -4 + m*d - 2 - 17. Is s(12) a multiple of 30? False Let y(t) = -7140*t - 6209. Does 7 divide y(-3)? True Suppose -3*s = 5*p - 10206, 4*p - 563 = s + 7595. Does 68 divide p? True Suppose 75 = 2*g + 3*z, -2*g + 5*z = -g - 18. Let f(y) = -y + 23. Let o be f(20). Suppose 2*l - 4*j + j - 22 = 0, o*l = -j + g. Is 10 a factor of l? False Is 7 a factor of ((-45)/(-6))/(-5)*(8701/(-21) - 1)? True Let h(m) = -m**3 + 4*m**2 - 3*m - 4. Let n be h(3). Let p be -3 - (2344/2)/n. Let k = p + -192. Is 14 a factor of k? True Suppose a + 5*m = 8035, -44*m - 48326 = -6*a - 45*m. Is 9 a factor of a? True Suppose -33*l - 113 = 2098. Let d = 134 + l. Does 10 divide d? False Let s(g) = -7*g**2 + 91*g - 10. Let o(z) = 4*z**2 - 61*z + 7. Let c(y) = -7*o(y) - 5*s(y). Is 86 a factor of c(17)? True Let c be 946/86 + 0/(-2). Suppose c*q = -1065 + 5454. Is 19 a factor of q? True Suppose 0 = t + 3*k - 7*k - 1336, -t = 5*k - 1354. Does 37 divide t? False Let y(x) = 1200*x + 768. Does 78 divide y(3)? True Let b(g) = -40*g - 68. Let w(s) = -s + 1. Let v(h) = -b(h) + 2*w(h). Is 4 a factor of v(5)? True Is 153 a factor of 10047/2*(33 + -36)*(-2 + 0)? True Suppose 6*f - 8*f + 298 = 0. Suppose -2128 = -7*n - 0*n. Suppose f = 3*w - n. Is 24 a factor of w? False Let m(q) be the first derivative of -q**4/4 - 17*q**3/3 - 4*q**2 - 51*q + 20. Let p(o) = -o**2 - 2*o + 7. Let l be p(-6). Is m(l) a multiple of 4? False Let i(n) = -n**3 + 6*n**2 + 591*n + 45. Does 59 divide i(21)? True Let a = -25 + 29. Let q(m) = m**2 + m + 61. Let k(x) = x**2 + x + 62. Let c(t) = a*q(t) - 3*k(t). Is c(0) a multiple of 14? False Let b(w) = -10*w + 76. Let x = 190 + -185. Is b(x) a multiple of 3? False Suppose 0 = g + 17*g - 10116. Let f = g - 379. Is 13 a factor of f? False Is ((-9)/5)/((-91508)/(-4160) + -22) a multiple of 10? False Let j = -448 + 452. Suppose j*g - 151 = 969. Is 9 a factor of g? False Let q(s) = -4*s - 5. Let u be q(-2). Suppose 0 = -2*y - u - 3. Does 15 divide y - (72/54)/(4/(-138))? False Let w(n) = 9*n**3 - 8*n**2 + 70*n + 114. Is 37 a factor of w(13)? False Let y be 3/(-4) - ((-193158)/24)/(-21). Is 3 a factor of (y/30)/(-4)*1*25? False Suppose 8*v - 16*v + 384 = 0. Suppose -2*s = v + 26. Let p = s + 64. Is 3 a factor of p? Tru
{ "pile_set_name": "DM Mathematics" }
at -752/5*x - 35344/5 - 4/5*x**2 = 0. -94 Let w be 1/(-2)*7*(-56)/49. Factor 4 + 20*y**2 + 2*y + 23*y + 3*y + 8 + w*y**3. 4*(y + 1)**2*(y + 3) Let l(z) = -31*z**2 + 1397*z + 10. Let w(q) = 40*q**2 - 1862*q - 13. Let s(g) = -13*l(g) - 10*w(g). Factor s(d). 3*d*(d + 153) Let o be -3*(-45)/(-27) + 6. Let r(p) = 6*p**2 - 6*p + 4. Let x be r(o). Solve -1/2*q**2 + 0*q**3 + 1/4 + 0*q + 1/4*q**x = 0. -1, 1 Factor 2/7*p**3 - 2/7*p - 26*p**2 + 26. 2*(p - 91)*(p - 1)*(p + 1)/7 Let l(f) be the second derivative of 0 - 4/21*f**3 + 1/2*f**2 - 13/84*f**4 + 1/70*f**5 + 79*f. Determine b so that l(b) = 0. -1, 1/2, 7 Let l(z) be the first derivative of 4*z**5/45 - z**4/3 + 4*z**3/27 + 2*z**2/3 - 8*z/9 + 2794. Find y, given that l(y) = 0. -1, 1, 2 Let v be -8 - ((-112)/10 - (17 - 20)). Let k(c) be the first derivative of v*c**2 + 2/5*c**3 - 1/10*c**4 + 3 - 6/5*c. Find f, given that k(f) = 0. -1, 1, 3 Let a(l) = -3*l**3 - 259*l**2 + 278*l + 36. Let i(s) = -3*s**3 - 261*s**2 + 276*s + 27. Let c(d) = 3*a(d) - 4*i(d). What is j in c(j) = 0? -90, 0, 1 Let l(q) be the third derivative of q**8/112 - 2*q**7/7 + 117*q**6/40 - 97*q**5/10 - 17*q**4/2 + 132*q**3 + q**2 + 641*q. Suppose l(x) = 0. What is x? -1, 2, 6, 11 Let w(r) be the first derivative of 2*r**5/55 - r**4/22 - 26*r**3/33 + r**2/11 + 24*r/11 + 1063. Solve w(a) = 0 for a. -3, -1, 1, 4 Let v(p) be the first derivative of -p**4/42 + 3*p**3/7 - 8*p**2/7 + 184*p + 169. Let k(i) be the first derivative of v(i). Solve k(t) = 0 for t. 1, 8 Let k(m) be the first derivative of m**5/12 + 5*m**4/6 + 5*m**3/2 + 7*m**2/2 + 3*m + 155. Let y(b) be the second derivative of k(b). Factor y(f). 5*(f + 1)*(f + 3) Suppose -9043*k - 225 = -9118*k. Factor -27/5*n**k + 0 - 18/5*n**4 - 3/5*n**5 + 0*n**2 + 0*n. -3*n**3*(n + 3)**2/5 Let k(t) = 23*t**3 + 5*t**2 + 4*t - 2. Let h be k(-1). Let m be (2/27)/((-4)/h). Factor -2/9*j**3 - 4/9*j**2 + m + 2/9*j. -2*(j - 1)*(j + 1)*(j + 2)/9 Find n, given that -304/7*n - 4/7*n**3 - 44*n**2 + 0 = 0. -76, -1, 0 Suppose 1316 = 3121*b - 2792*b. What is s in -10/3*s + 0 + b*s**2 - 2/3*s**3 = 0? 0, 1, 5 Let h(m) = m**2 + 16*m + 37. Let b(i) = i + 3. Let u(a) = 2*b(a) - h(a). Let d be u(-11). Find v such that 2/9*v + 1/9*v**d + 1/9 = 0. -1 Let h be -2 + (6 - 0) - (957 - -137). Let c = 1092 + h. Determine k so that 0 + 0*k**c + 0*k - 3/8*k**3 - 3/8*k**4 = 0. -1, 0 Suppose -527*j + 924*j + 430 = 483*j. Solve 0 + 148/7*n**4 - 8*n - 148/7*n**2 + 36/7*n**3 + 20/7*n**j = 0. -7, -1, -2/5, 0, 1 Let l be (6/(-5))/(40/(-1200)). Factor 4*u + l*u**2 + 4*u**3 - 30*u**2 + u**4 + u - u + 1. (u + 1)**4 Let f(l) be the second derivative of 7*l**6/6 + 9*l**5/4 + 5*l**4/6 + 344*l - 13. Factor f(m). 5*m**2*(m + 1)*(7*m + 2) Find b such that 40/3*b + 0 + 152/9*b**2 + 22/9*b**3 = 0. -6, -10/11, 0 Determine r, given that -18/7*r**2 + 0 + 18/7*r**4 - 4*r + 2/7*r**5 + 26/7*r**3 = 0. -7, -2, -1, 0, 1 Let x(l) = 4 + 3*l**2 - l**2 - 5*l + 2*l**3 - 3*l. Let s(o) = -2*o**3 - o**2 + 7*o - 4. Let t be 592/(-96) - (-21)/18. Let j(f) = t*x(f) - 6*s(f). Factor j(g). 2*(g - 2)*(g - 1)*(g + 1) Let s = -2282142/7 - -326026. Factor -2/7*u**2 - s + 24/7*u. -2*(u - 10)*(u - 2)/7 Solve 162/5 - 3/5*i**3 + 156/5*i**2 + 321/5*i = 0 for i. -1, 54 Let w(s) be the third derivative of -s**2 + 0 - 5/6*s**3 - 20*s + 1/12*s**5 + 5/24*s**4 - 1/24*s**6. Let w(c) = 0. Calculate c. -1, 1 Suppose 9*l + 6 = 11*l. Suppose 26*m - 32*m + 100 - 16*m**2 + 16*m + 2*m**l = 0. What is m? -2, 5 Let b(d) = -d + 2. Let f be b(0). Suppose 2*z - 16 = 2*m + 2*m, 0 = 5*z - 5*m - 25. Factor i**3 + z*i**f + 7 - 7. i**2*(i + 2) Suppose 4*m - 3*x + x - 12 = 0, 90 = 3*m + 12*x. What is v in 0 + m*v + 2/3*v**5 + 8*v**2 - 8/3*v**4 - 4/3*v**3 = 0? -1, 0, 3 Factor -3404*u**3 + 253*u**2 + 25*u + 4*u**4 + 3496*u**3 + 59*u - 81*u**2. 4*u*(u + 1)**2*(u + 21) Let n = 6812 - 6798. Let j(o) be the third derivative of -1/9*o**3 + 0*o**6 - 1/45*o**5 + n*o**2 + 1/945*o**7 + 2/27*o**4 + 0*o + 0. Factor j(d). 2*(d - 1)**3*(d + 3)/9 Let h(a) be the second derivative of -185*a + 0*a**2 + 0 + 1/18*a**4 + 1/30*a**5 + 0*a**3. Factor h(s). 2*s**2*(s + 1)/3 Suppose -3*f + 23 = 4*u, -21 = -3*f + 2*u + 8. Let g = 1568 + -1566. Find h such that -80*h**g + 35*h**4 - 14*h**3 - 29*h - 11*h**3 + f*h = 0. -1, -2/7, 0, 2 Factor 92/5*y**3 + 0 + 0*y - 144/5*y**2 + 12/5*y**4. 4*y**2*(y + 9)*(3*y - 4)/5 Let m(g) = -8*g - 1. Suppose 3*v = -3*c - 6, 0*v - 2*v - 1 = 5*c. Let a(z) = -z**2 - z - 1. Let h(x) = v*m(x) + 3*a(x). What is j in h(j) = 0? 0, 7 Suppose -5*z - 4*q = 264, -q - 164 = 2*z + z. Let o be (-15)/(-28) - (-16)/z. Let 1/2*m - 1/4*m**2 - o = 0. Calculate m. 1 Let i(b) = -b**2 - 56*b - 39. Let r(f) = 9*f + 1. Let h(g) = 3*i(g) + 6*r(g). Find u, given that h(u) = 0. -37, -1 Let l(m) = -792*m**5 - 1548*m**4 + 44*m**3 - 28*m**2 - 28. Let o(p) = 88*p**5 + 172*p**4 - 5*p**3 + 3*p**2 + 3. Let h(g) = -3*l(g) - 28*o(g). Solve h(q) = 0. -2, 0, 1/22 Let t(k) be the first derivative of 0*k**3 + 0*k**2 - 31 - 1/8*k**4 + 0*k. Factor t(r). -r**3/2 Let v(m) = 2*m**2 - 10*m - 12. Let t be v(7). Let l(a) = -4*a - 1. Let r be l(-1). Factor 5*h**2 - 28 + 4*h**r - 10 - t*h + 3*h**2 + 6. 4*(h - 2)*(h + 2)**2 Let g(p) be the third derivative of 0*p**3 + 0*p**4 + 0*p**5 + 1/105*p**7 + 1/1008*p**8 - 15*p**2 + 1/72*p**6 + 0*p - 1. Let g(a) = 0. Calculate a. -5, -1, 0 Let n(f) be the third derivative of 1/150*f**5 - 1/20*f**3 - 1/120*f**4 + 0*f + 4*f**2 - 1/2100*f**7 + 3 + 1/600*f**6. Factor n(h). -(h - 3)*(h - 1)*(h + 1)**2/10 Let v(w) = -6*w**2 - 69*w - 33. Let r(q) = -6*q**2 - 67*q - 32. Let f(g) = -6*g**2 - 44*g + 27. Let u be f(-8). Let a(j) = u*v(j) + 6*r(j). Factor a(m). -3*(m + 9)*(2*m + 1) Let n(c) = -22*c**3 - 4502*c**2 + 56*c + 4570. Let o(t) = -4*t**3 - 750*t**2 + 10*t + 762. Let v(p) = -6*n(p) + 34*o(p). What is a in v(a) = 0? -1, 1, 378 Suppose 0 = -3021223*o + 3021265*o. Factor 7/2*v**2 - 1/2*v**3 + o - 3*v. -v*(v - 6)*(v - 1)/2 Let x(y) be the third derivative of y**8/70560 - 11*y**7/4410 + 121*y**6/630 + 11*y**5/20 + 8*y**2. Let w(n) be the third derivative of x(n). Factor w(c). 2*(c - 22)**2/7 Let k be -37 - (-36 + 224/(-56)). Let 0 + 4/7*s**5 + 4/7*s**2 - 4/7*s**4 + 0*s - 4/7*s**k = 0. Calculate s. -1, 0, 1 Let g = -1106399/48 + 23050. Let a(o) be the third derivative of g*o**5 - 33*o**2 + 0*o - 5/6*o**3 + 5/32*o**4 + 0. Factor a(m). 5*(m - 1)*(m + 4)/4 Let t(j) be the third derivative of 8*j**7/21 - 71*j**6/3 + 275*j**5/4 - 1535*j**4/24 + 85*j**3/3 - 6*j**2 + j + 28. Find u, given that t(u) = 0. 1/4, 1, 34 Let a = -585 + 2534. Suppose 494 = -4*v + 8290. Factor 0*k**3 + 12*k**3 - 12*k**2 - v - 3*k**4 + a. -3*k**2*(k - 2)**2 Suppose 33*r + 13 = 34*r. Determine y, given that -14 - 4*y**5 + 4 - r*y - 15*y + 24*y**2 - 14 + 42*y**3 - 10*y**3 = 0. -2, -1, 1, 3 Let f(r) be the first derivative of r**4 + 32*r**3 - 8*r**2 - 384*r - 3470. Factor f(k). 4*(k - 2)*(k + 2)*(k + 24) Let m be 43/8 - (210/48 - 4). Suppose -2*z + 5*u = 16, 2*z - 10 - 14 = -m*u. Factor -2*w + 1/10*w**z + 10. (w - 10)**2/10 Let a = 161 + -156. Factor -26*x**5 + x**a - 10*x**3 + 14*x**4 - 12*x**4 + 33*x**4. -5*x**3*(x - 1)*(5*x - 2) Let w = 162 + -162. Let z be 180/45 - (3 - -1). Find a such that 0*a + w - 6/5*a**3 - 3/5*a**4 + z*a**2 = 0. -2, 0 Let r(o) be the first derivative of 7/60*o**5 + 40 + 1/60*o**6 + 0*o + 5*o**2 - 2/3*o**3 + 1/6*o**4. Let m(v) be the second derivative of r(v). Factor m(y). (y + 2)**2*(2*y - 1) Let r = -4317 - -4325. Let z be 0 - 2*-1*2. Suppose 4*d**3 + 20*d**2 - 8*d**2 + r*d + 0 + 4 + z*d = 0. What is d? -1 Suppose 3 = 5*y + 3*d, 4*y - 18 + 20 = 2*d. Let m = 22/7 - 59/21. Factor m*l - 1/6*l**2 + y. -l*(l - 2)/6 Factor -1089/2 - 3/2*j**2 - 186*j. -3*(j + 3)*(j + 121)/2 Let y be (11446/1455 - 3*3) + 11/(198/24). Factor -7/5*w + y*w**4 + w**2 - 6/5 + 7/5*w**3. (w - 1)*(w + 1)**2*(w + 6)/5 Let o(n) be the third derivative of -n**8/840 - 4*n**7/525 - n**6/100 + 2*n**5/75 + n**4/15 + 161*n**2 - 12. Determine a so that o(a) = 0. -2, -1, 0, 1 Let a(s) be the first derivative of -s**6/36 + 49*s**5/30 - 2*s**4 + 3049. Factor a(w). -w**3*(w - 48)*(w - 1)/6 Suppose 757 + 513 = -r - 4*b, -3*r - 3*b = 3828. Let k be (-1)/2 + r/(-36). Determine q, given that 6*q**2 + 25*q**4 + 0*q**2 + 4*q**2 + k*q**3 = 0. -1, -2/5, 0 Let p(l) = 31*l
{ "pile_set_name": "DM Mathematics" }
ow many minutes are there between 3:56 AM and 6:29 AM? 153 How many minutes are there between 12:53 PM and 2:54 PM? 121 What is 699 minutes before 4:14 AM? 4:35 PM What is 101 minutes before 12:42 AM? 11:01 PM What is 714 minutes after 9:00 PM? 8:54 AM How many minutes are there between 6:15 AM and 11:19 AM? 304 How many minutes are there between 10:25 PM and 10:04 AM? 699 How many minutes are there between 9:14 AM and 2:56 PM? 342 How many minutes are there between 10:24 AM and 12:41 PM? 137 How many minutes are there between 2:05 PM and 7:20 PM? 315 What is 467 minutes after 12:55 PM? 8:42 PM What is 665 minutes after 6:27 PM? 5:32 AM How many minutes are there between 12:51 AM and 2:38 AM? 107 How many minutes are there between 6:02 AM and 12:15 PM? 373 What is 644 minutes after 2:32 PM? 1:16 AM How many minutes are there between 1:37 AM and 4:02 AM? 145 How many minutes are there between 12:47 AM and 8:48 AM? 481 What is 414 minutes before 3:35 AM? 8:41 PM How many minutes are there between 8:41 PM and 6:26 AM? 585 How many minutes are there between 6:48 PM and 4:05 AM? 557 What is 691 minutes before 9:20 PM? 9:49 AM How many minutes are there between 11:43 PM and 11:49 PM? 6 How many minutes are there between 12:05 PM and 8:55 PM? 530 What is 418 minutes after 12:02 PM? 7:00 PM What is 331 minutes after 8:16 AM? 1:47 PM How many minutes are there between 6:22 PM and 9:36 PM? 194 How many minutes are there between 11:20 AM and 4:16 PM? 296 What is 342 minutes before 8:01 PM? 2:19 PM What is 309 minutes after 12:24 PM? 5:33 PM What is 2 minutes after 1:20 AM? 1:22 AM What is 568 minutes after 5:04 AM? 2:32 PM How many minutes are there between 3:46 AM and 11:12 AM? 446 What is 552 minutes after 3:31 PM? 12:43 AM What is 394 minutes before 1:56 PM? 7:22 AM What is 148 minutes before 6:38 AM? 4:10 AM How many minutes are there between 4:58 AM and 9:41 AM? 283 How many minutes are there between 6:29 PM and 11:57 PM? 328 How many minutes are there between 7:51 AM and 2:52 PM? 421 What is 385 minutes after 5:09 PM? 11:34 PM What is 252 minutes after 1:45 PM? 5:57 PM How many minutes are there between 10:14 AM and 2:53 PM? 279 How many minutes are there between 10:30 AM and 1:26 PM? 176 How many minutes are there between 5:18 AM and 10:49 AM? 331 How many minutes are there between 12:37 PM and 10:15 PM? 578 What is 570 minutes before 8:25 AM? 10:55 PM What is 158 minutes after 2:37 AM? 5:15 AM How many minutes are there between 7:52 AM and 10:53 AM? 181 How many minutes are there between 2:36 PM and 3:58 PM? 82 How many minutes are there between 9:42 PM and 2:38 AM? 296 How many minutes are there between 9:41 PM and 7:25 AM? 584 How many minutes are there between 9:31 PM and 4:09 AM? 398 What is 463 minutes before 7:33 PM? 11:50 AM How many minutes are there between 10:15 PM and 10:26 PM? 11 How many minutes are there between 7:46 PM and 8:25 PM? 39 How many minutes are there between 1:41 PM and 4:33 PM? 172 What is 136 minutes before 4:23 PM? 2:07 PM What is 693 minutes before 3:54 PM? 4:21 AM How many minutes are there between 8:23 AM and 4:46 PM? 503 How many minutes are there between 10:16 AM and 3:31 PM? 315 How many minutes are there between 11:06 AM and 8:22 PM? 556 What is 128 minutes before 2:46 PM? 12:38 PM What is 719 minutes after 7:04 PM? 7:03 AM What is 623 minutes after 7:41 PM? 6:04 AM How many minutes are there between 6:18 PM and 11:43 PM? 325 What is 630 minutes before 3:19 AM? 4:49 PM What is 139 minutes after 9:09 AM? 11:28 AM How many minutes are there between 2:44 PM and 7:57 PM? 313 How many minutes are there between 3:12 AM and 1:51 PM? 639 What is 667 minutes before 7:19 PM? 8:12 AM What is 203 minutes after 8:48 AM? 12:11 PM How many minutes are there between 7:51 PM and 2:22 AM? 391 What is 342 minutes after 5:41 AM? 11:23 AM What is 111 minutes after 6:45 AM? 8:36 AM How many minutes are there between 9:21 PM and 4:46 AM? 445 What is 432 minutes after 1:41 AM? 8:53 AM What is 719 minutes after 2:21 PM? 2:20 AM How many minutes are there between 3:05 PM and 10:30 PM? 445 What is 305 minutes before 3:31 PM? 10:26 AM How many minutes are there between 1:35 PM and 9:56 PM? 501 What is 137 minutes before 4:58 AM? 2:41 AM What is 399 minutes after 12:37 AM? 7:16 AM What is 552 minutes before 7:43 PM? 10:31 AM What is 153 minutes after 4:28 AM? 7:01 AM How many minutes are there between 4:37 AM and 12:16 PM? 459 How many minutes are there between 8:41 PM and 4:14 AM? 453 How many minutes are there between 12:59 AM and 10:43 AM? 584 What is 250 minutes after 3:14 PM? 7:24 PM How many minutes are there between 5:34 AM and 11:40 AM? 366 How many minutes are there between 5:45 AM and 3:02 PM? 557 How many minutes are there between 2:40 PM and 1:03 AM? 623 How many minutes are there between 12:50 AM and 10:37 AM? 587 What is 260 minutes after 7:29 AM? 11:49 AM How many minutes are there between 3:33 PM and 11:56 PM? 503 How many minutes are there between 4:27 AM and 1:15 PM? 528 What is 121 minutes after 11:08 PM? 1:09 AM How many minutes are there between 4:16 PM and 6:37 PM? 141 What is 289 minutes after 2:21 AM? 7:10 AM What is 507 minutes after 6:57 AM? 3:24 PM How many minutes are there between 11:38 AM and 4:17 PM? 279 What is 388 minutes after 2:44 AM? 9:12 AM How many minutes are there between 8:24 PM and 5:57 AM? 573 What is 103 minutes before 9:26 PM? 7:43 PM How many minutes are there between 11:59 AM and 10:23 PM? 624 What is 82 minutes before 1:27 AM? 12:05 AM What is 488 minutes after 2:05 AM? 10:13 AM How many minutes are there between 4:22 AM and 8:25 AM? 243 How many minutes are there between 4:01 PM and 5:01 PM? 60 What is 167 minutes after 5:27 AM? 8:14 AM What is 91 minutes before 12:49 PM? 11:18 AM How many minutes are there between 10:10 AM and 10:52 AM? 42 How many minutes are there between 11:07 AM and 10:28 PM? 681 How many minutes are there between 3:35 AM and 3:39 AM? 4 What is 644 minutes before 10:40 PM? 11:56 AM What is 564 minutes before 1:50 AM? 4:26 PM What is 473 minutes after 9:18 PM? 5:11 AM How many minutes are there between 11:10 PM and 10:10 AM? 660 What is 132 minutes after 12:14 PM? 2:26 PM How many minutes are there between 6:13 PM and 6:49 PM? 36 What is 391 minutes before 3:33 PM? 9:02 AM How many minutes are there between 5:40 AM and 4:05 PM? 625 How many minutes are there between 7:25 PM and 3:15 AM? 470 How many minutes are there between 1:54 PM and 4:04 PM? 130 What is 526 minutes before 10:55 PM? 2:09 PM What is 693 minutes before 9:21 PM? 9:48 AM What is 636 minutes after 2:00 PM? 12:36 AM What is 90 minutes before 1:55 AM? 12:25 AM How many minutes are there between 6:17 AM and 7:55 AM? 98 What is 679 minutes after 4:41 AM? 4:00 PM How many minutes are there between 2:17 PM and 2:00 AM? 703 How many minutes are there between 1:06 AM and 2:17 AM? 71 How many minutes are there between 1:13 AM and 10:37 AM? 564 How many minutes are there between 3:06 AM and 11:29 AM? 503 What is 687 minutes before 2:29 AM? 3:02 PM What is 715 minutes before 2:51 PM? 2:56 AM How many minutes are there between 4:34 PM and 9:54 PM? 320 How many minutes are there between 10:19 PM and 9:46 AM? 687 How many minutes are there between 11:39 AM and 11:38 PM? 719 How many minutes are there between 2:55 PM and 5:07 PM? 132 What is 552 minutes after 1:22 AM? 10:34 AM How many minutes are there between 11:50 PM and 11:05 AM? 675 What is 473 minutes after 6:11 AM? 2:04 PM How many minutes are there between 9:10 PM and 8:27 AM? 677 How many minutes are there between 5:06 PM and 2:38 AM? 572 What is 416 minutes after 1:20 PM? 8:16 PM What is 423 minutes after 6:48 AM? 1:51 PM How many minutes are there between 9:12 PM and 10:15 PM? 63 What is 170 minutes after 6:30 AM? 9:20 AM How many minutes are there between 11:14 PM and 8:55 AM? 581 How many minutes are there between 12:21 AM and 1:20 AM? 59 What is 599 minutes after 2:31 AM? 12:30 PM How many minutes are there between 9:13 AM and 2:40 PM? 327 How many minutes are there between 5:54 PM and 5:58 PM? 4 What is 429 minutes before 4:14 AM? 9:05 PM What is 504 minutes after 8:17 PM? 4:41 AM What is 25 minutes after 6:28 PM? 6:53 PM How many minutes are there be
{ "pile_set_name": "DM Mathematics" }
een 10:23 AM and 9:04 PM? 641 How many minutes are there between 5:17 AM and 5:07 PM? 710 How many minutes are there between 11:09 AM and 1:12 PM? 123 What is 585 minutes after 2:37 PM? 12:22 AM What is 236 minutes before 7:48 PM? 3:52 PM What is 243 minutes after 6:42 AM? 10:45 AM What is 669 minutes after 11:21 AM? 10:30 PM How many minutes are there between 5:54 PM and 6:34 PM? 40 How many minutes are there between 7:54 PM and 8:53 PM? 59 How many minutes are there between 10:11 AM and 3:53 PM? 342 How many minutes are there between 1:43 AM and 4:02 AM? 139 How many minutes are there between 12:27 PM and 1:26 PM? 59 How many minutes are there between 1:32 PM and 12:13 AM? 641 What is 250 minutes before 9:46 PM? 5:36 PM What is 616 minutes after 4:19 AM? 2:35 PM What is 14 minutes before 3:09 AM? 2:55 AM How many minutes are there between 3:41 PM and 12:47 AM? 546 What is 611 minutes after 5:39 PM? 3:50 AM How many minutes are there between 1:36 PM and 6:31 PM? 295 What is 454 minutes before 8:09 PM? 12:35 PM What is 36 minutes before 12:29 PM? 11:53 AM How many minutes are there between 10:10 PM and 7:02 AM? 532 What is 91 minutes before 10:41 AM? 9:10 AM What is 354 minutes before 4:05 AM? 10:11 PM What is 631 minutes before 3:58 AM? 5:27 PM How many minutes are there between 3:53 PM and 3:05 AM? 672 What is 428 minutes after 9:46 AM? 4:54 PM What is 456 minutes before 9:56 AM? 2:20 AM What is 502 minutes before 6:23 PM? 10:01 AM What is 670 minutes after 3:48 PM? 2:58 AM What is 480 minutes before 1:31 PM? 5:31 AM How many minutes are there between 7:34 PM and 6:53 AM? 679 How many minutes are there between 1:47 AM and 9:21 AM? 454 What is 71 minutes after 6:50 AM? 8:01 AM What is 165 minutes before 8:48 AM? 6:03 AM How many minutes are there between 1:51 PM and 1:03 AM? 672 How many minutes are there between 11:42 AM and 7:32 PM? 470 How many minutes are there between 4:13 PM and 3:40 AM? 687 How many minutes are there between 11:26 AM and 1:33 PM? 127 What is 535 minutes after 3:23 PM? 12:18 AM How many minutes are there between 4:17 AM and 2:01 PM? 584 How many minutes are there between 7:51 PM and 2:37 AM? 406 How many minutes are there between 3:17 PM and 12:34 AM? 557 How many minutes are there between 9:57 PM and 5:36 AM? 459 How many minutes are there between 4:58 PM and 12:26 AM? 448 What is 345 minutes before 5:45 PM? 12:00 PM What is 317 minutes before 5:18 PM? 12:01 PM How many minutes are there between 7:49 PM and 6:00 AM? 611 What is 388 minutes after 11:51 AM? 6:19 PM How many minutes are there between 7:42 PM and 5:39 AM? 597 How many minutes are there between 7:18 PM and 6:28 AM? 670 What is 324 minutes after 8:00 PM? 1:24 AM How many minutes are there between 10:26 AM and 12:51 PM? 145 How many minutes are there between 7:08 AM and 9:44 AM? 156 What is 236 minutes after 11:50 AM? 3:46 PM How many minutes are there between 8:56 PM and 1:16 AM? 260 How many minutes are there between 9:34 AM and 8:51 PM? 677 What is 404 minutes after 3:21 PM? 10:05 PM What is 328 minutes before 2:30 PM? 9:02 AM How many minutes are there between 9:59 AM and 8:45 PM? 646 What is 526 minutes before 4:05 AM? 7:19 PM What is 11 minutes after 5:00 PM? 5:11 PM What is 552 minutes after 10:56 PM? 8:08 AM What is 697 minutes before 12:25 PM? 12:48 AM How many minutes are there between 1:04 AM and 12:13 PM? 669 What is 211 minutes after 7:38 PM? 11:09 PM How many minutes are there between 3:22 PM and 4:54 PM? 92 What is 303 minutes after 3:25 PM? 8:28 PM What is 655 minutes after 3:25 PM? 2:20 AM How many minutes are there between 5:26 PM and 1:42 AM? 496 What is 51 minutes before 11:21 PM? 10:30 PM How many minutes are there between 7:05 AM and 2:24 PM? 439 What is 557 minutes after 12:30 PM? 9:47 PM How many minutes are there between 3:12 AM and 8:22 AM? 310 How many minutes are there between 9:25 AM and 2:45 PM? 320 How many minutes are there between 11:33 PM and 10:51 AM? 678 How many minutes are there between 11:33 AM and 10:20 PM? 647 What is 470 minutes after 12:44 PM? 8:34 PM What is 50 minutes before 8:47 PM? 7:57 PM What is 166 minutes after 5:53 PM? 8:39 PM What is 14 minutes before 12:11 AM? 11:57 PM How many minutes are there between 10:56 PM and 7:33 AM? 517 What is 305 minutes after 5:40 AM? 10:45 AM What is 528 minutes before 12:55 AM? 4:07 PM What is 399 minutes after 5:53 AM? 12:32 PM What is 296 minutes before 4:13 PM? 11:17 AM What is 623 minutes after 7:32 AM? 5:55 PM How many minutes are there between 12:57 PM and 11:13 PM? 616 What is 353 minutes before 3:12 PM? 9:19 AM How many minutes are there between 1:45 PM and 2:56 PM? 71 What is 556 minutes before 3:30 AM? 6:14 PM What is 610 minutes after 7:53 AM? 6:03 PM How many minutes are there between 2:02 PM and 4:10 PM? 128 How many minutes are there between 11:23 AM and 4:21 PM? 298 What is 185 minutes after 10:27 PM? 1:32 AM How many minutes are there between 6:24 PM and 1:57 AM? 453 How many minutes are there between 5:20 AM and 2:52 PM? 572 What is 664 minutes before 4:31 AM? 5:27 PM How many minutes are there between 2:23 AM and 7:51 AM? 328 How many minutes are there between 7:23 PM and 10:54 PM? 211 How many minutes are there between 4:40 AM and 6:57 AM? 137 What is 553 minutes after 10:42 AM? 7:55 PM How many minutes are there between 1:13 PM and 12:31 AM? 678 What is 644 minutes after 2:17 AM? 1:01 PM What is 444 minutes before 7:36 PM? 12:12 PM How many minutes are there between 7:07 AM and 1:02 PM? 355 How many minutes are there between 9:06 PM and 3:40 AM? 394 How many minutes are there between 4:31 PM and 6:02 PM? 91 What is 19 minutes before 12:13 AM? 11:54 PM What is 595 minutes after 6:58 PM? 4:53 AM How many minutes are there between 1:14 AM and 3:39 AM? 145 How many minutes are there between 7:37 AM and 5:44 PM? 607 What is 597 minutes after 9:29 AM? 7:26 PM How many minutes are there between 3:23 PM and 2:54 AM? 691 What is 318 minutes before 3:05 PM? 9:47 AM How many minutes are there between 9:13 AM and 7:38 PM? 625 What is 76 minutes before 10:23 AM? 9:07 AM What is 376 minutes after 1:43 AM? 7:59 AM What is 504 minutes after 6:09 AM? 2:33 PM What is 211 minutes after 7:40 PM? 11:11 PM How many minutes are there between 4:16 AM and 2:15 PM? 599 How many minutes are there between 12:08 PM and 7:47 PM? 459 What is 463 minutes after 9:58 AM? 5:41 PM How many minutes are there between 1:02 AM and 6:55 AM? 353 How many minutes are there between 11:59 AM and 10:27 PM? 628 How many minutes are there between 12:58 AM and 5:50 AM? 292 How many minutes are there between 9:28 AM and 9:05 PM? 697 What is 496 minutes after 8:54 PM? 5:10 AM How many minutes are there between 6:58 AM and 3:38 PM? 520 How many minutes are there between 5:26 AM and 6:26 AM? 60 What is 680 minutes after 8:31 PM? 7:51 AM How many minutes are there between 12:14 AM and 10:34 AM? 620 How many minutes are there between 6:58 AM and 4:28 PM? 570 How many minutes are there between 11:43 PM and 7:21 AM? 458 What is 588 minutes after 4:14 PM? 2:02 AM What is 670 minutes before 9:30 PM? 10:20 AM How many minutes are there between 8:50 AM and 1:41 PM? 291 How many minutes are there between 11:12 AM and 7:49 PM? 517 How many minutes are there between 2:57 PM and 7:08 PM? 251 What is 624 minutes before 8:47 AM? 10:23 PM What is 376 minutes before 2:04 AM? 7:48 PM What is 237 minutes after 9:27 PM? 1:24 AM What is 171 minutes before 2:48 PM? 11:57 AM What is 424 minutes after 12:55 PM? 7:59 PM What is 687 minutes after 4:27 AM? 3:54 PM What is 581 minutes after 3:39 AM? 1:20 PM What is 52 minutes before 12:28 PM? 11:36 AM How many minutes are there between 7:49 PM and 4:10 AM? 501 What is 453 minutes after 6:16 PM? 1:49 AM How many minutes are there between 2:21 AM and 3:51 AM? 90 How many minutes are there between 11:46 AM and 3:57 PM? 251 How many minutes are there between 5:15 PM and 4:57 AM? 702 What is 71 minutes after 5:25 AM? 6:36 AM How many minutes are there between 3:26 PM and 1:53 AM? 627 What is 366 minutes before 9:47 AM? 3:41 AM What is 691 minutes after 7:53 AM? 7:24 PM How many minutes are there between 4:11 PM and 8:23 PM? 252 What is 707 minutes before 5:31 PM? 5:44 AM What is 360 m
{ "pile_set_name": "DM Mathematics" }
- 22. Let n be w(-3). Let z be ((-7)/(n/36))/((-2)/4). Solve -v + 4 = z for v. -5 Suppose -2*w + 88 = -106. Suppose 0*r = -y + 5*r - 9, -r - w = 5*y. Let l = 24 + y. Solve -l*n - 3 = 2 for n. -1 Let y be (1*(-4)/(-8))/(2/12). Let s be 6 + 0/(-4 - y). Solve 7*b - s*b + 2 = 0 for b. -2 Let j(z) = -z**3 - 9*z**2 - z + 9. Let a be j(-9). Suppose 6*n - 12*n = -a. Suppose 6*b - 25 = 5. Solve -b = -v - n for v. 2 Let r be (0 - (-3)/2)/((-66)/132). Let a be r*(-12)/(-6) + 16. Solve -6 - a = -4*t for t. 4 Let f(u) = 18*u**2 + 2*u + 4. Let h be 6/4 + (-7 - (-72)/16). Let t be f(h). Solve 0 = -j + 5*j + t for j. -5 Let m = 82 + -82. Suppose m = 47*q - 57*q + 170. Solve 8*l - q = 23 for l. 5 Suppose 3*r = 4*r - 75. Suppose 1099 - 3980 = 72*b + 1439. Let d = b + r. Solve -10 - d = 5*v for v. -5 Let m(n) = -26*n + 192. Let p be m(7). Suppose -4*w + 4*z + 16 = 0, 7*z - 2*z = -p. Solve 17 = w*i + 19 for i. -1 Let m = 112 + 69. Let r = 185 - m. Solve 27 - 11 = r*a for a. 4 Let z be 3 - ((-784)/30 + (-21)/((-4095)/26)). Solve -37*r - 40 = -z*r for r. -5 Suppose -21*w = -17*w - 20, 2*w - 10 = -4*d. Solve d = 46*l - 40*l - 24 for l. 4 Let f(c) = -c**2 + 1. Let y(s) = s**3 - 14*s**2 + 23*s + 36. Let z(m) = -f(m) - y(m). Let d be z(13). Solve -d*h - 3*h = -5 for h. 1 Let l = 28774 + -28742. Solve -80 = 8*y - l for y. -6 Suppose -32*k = -17*k - 6570. Let a = k - 435. Solve 0 = a*p - 4*p + 4 for p. 4 Let o be 3*8*(-27)/(-72). Solve -10 = -7*n + o*n for n. -5 Suppose 213*p - 455*p + 792 = -176*p. Solve 0 = -p*w + 198 - 282 for w. -7 Let r(u) = -2*u**2 - 76*u. Suppose 228 = -417*a + 411*a. Let y be r(a). Solve -21*b + 23*b - 2 = y for b. 1 Suppose -35 + 65 = 5*d, 5*h + 4*d = 109. Solve -3*x = -h + 5 for x. 4 Let g(z) = 5*z + 52. Let n be g(-9). Let q be ((4*-2)/2)/(-4). Let l be (2 + 2)*q - 0. Solve -l*d - 3 + n = 0 for d. 1 Let d = -32289 - -32301. Solve 47 - d = 7*g for g. 5 Let c be (-91)/(-7) - 6 - -7. Solve c*u - 35*u = -21 for u. 1 Let x be 114 - (246/205)/((-3)/(-25)). Solve -d + x = 103 for d. 1 Suppose -4*i + 63 = 5*r, 0 = 3*r + 3*i + 11 - 47. Suppose 70 = 29*x - r*x. Solve -z + 4 = x for z. -1 Let j be (30 + (-2176)/72)/((-1)/81). Solve 15 = -j*g - 3 for g. -1 Suppose -4*f = -2 - 6, -q - 3 = -3*f. Suppose -7 = 2*j - 41. Let v = j - 17. Solve q*k + k + 20 = v for k. -5 Let c(f) = 9*f + 1. Let q be c(5). Let g = -17 + q. Suppose 2 = g*x - 28*x. Solve 4*v = x*v + 4 for v. 2 Suppose 19*o - 4 - 346 = -46. Solve o = -24*a + 40 for a. 1 Let w(r) = 13*r**2 + 19*r + 18. Let a be w(-4). Let d = 187 - a. Solve 3*i = d - 22 for i. 5 Let s(o) = -2*o**2 + 24*o - 10. Suppose l + 42 + 39 = 0. Let z = l + 92. Let w be s(z). Solve -g - w = 2*g for g. -4 Let v be (2 - (-1)/(-3)) + (-3275)/75. Let m be 1776/(-42) + (-4)/(-14). Let x = v - m. Solve 12 = -x*o - 4*o for o. -3 Let i = 8 + -5. Suppose 0 = -11*p + 264 - 253. Suppose 0 = h - p, -109*w - 3*h - 17 = -113*w. Solve -i*t - 2*t = -w for t. 1 Suppose -3*f + 258 = 23*c - 20*c, 0 = -3*c + f + 250. Solve -5*u = c - 79 for u. -1 Let x(t) = t - 2. Let c be x(4). Let b be c/(-11) - ((-620)/22 + 0). Solve 4*u + 8 = b for u. 5 Let m(h) = -h**3 + 8*h**2 - 7*h + 6. Let d be m(7). Suppose 56 = -d*x + 86. Solve -3*b = -x*b for b. 0 Let p(y) = y + 12. Let l be (3/(-9))/(2/24). Let n be p(l). Let v = 681 - 679. Solve n = -2*f + v for f. -3 Suppose 0 = c + t - 15, -6*c + 4*c + 16 = -5*t. Suppose c*k - 12*k = 30. Solve b = -27 + k for b. 3 Let m = -5380 + 5409. Solve 0 = m*b + 55 + 3 for b. -2 Let c be -35*(6 - 11)/25. Suppose 34 = 9*l + c. Solve l*s = s + 2 for s. 1 Suppose -g + 0*g = -7. Let v(j) = -28*j + 203. Let u be v(g). Solve 10*w - u*w + 15 = 0 for w. -5 Let m be -20 - -32 - 4/6*3. Suppose 2*s = 4*t - m, t - 2*s + 1 = -1. Let p be 1/t + 456/96. Solve 2*u + p = u for u. -5 Suppose r + p - 2137 = -3*r, -3*r - 4*p = -1619. Let q = 554 - r. Solve q + 9 = -6*s for s. -5 Let i be (115/40)/23 - 441/(-56). Solve -i = 13*w + 5 for w. -1 Let l(p) = -2*p + 31. Let x be l(14). Let a(w) = -w**2 + 5*w - 4. Let g be a(x). Solve -g*v - v = -15 for v. 5 Let w(o) = -52*o - 71. Let i(q) = q**2 - 2*q - 5. Let r be i(3). Let h be w(r). Solve 3 = -6*a + h for a. 5 Suppose -5*y - 7*j + 8 = -10*j, 4 = j. Suppose -g = -n + 2*g + 17, 0 = -3*n - 2*g - y. Solve -11 + 19 = -n*u for u. -4 Suppose -4*s = -2*d - 8 - 28, -2*s + 2*d = -22. Solve -16*n + 105 + s = 0 for n. 7 Let m(k) = -10*k + 126. Let l be m(10). Suppose -2*y + 9*a + 31 = 6*a, 2*a = 2*y - l. Solve y*u + 7 = -1 for u. -1 Suppose 81 = -3*m + 12*m. Let l be (129/m)/1 + 12/(-9). Solve l*g - 15 = 10*g for g. 5 Suppose -471 = -8*z - 71. Suppose 4*t - z = -42. Solve 5*x = -t + 7 for x. 1 Let r be (15*4/18)/((-3)/(-162)). Let o be ((-6)/(-8))/(27/r). Suppose 2*a = 3*h - o*h + 12, 3*a - 18 = -h. Solve i = a*i + 20 for i. -4 Let x = 925 + -923. Let w(n) = -n**3 + 3*n**2 + 2*n - 3. Let s be w(3). Solve -s*p + 1 = -x for p. 1 Let p be 2/3 + 24/(-36). Suppose -4*q + s = -75, p = 3*q - 109*s + 108*s - 56. Solve q = -6*n - 11 for n. -5 Suppose 0 = 3*o + 2*o + 2*y - 35, -5*o = y - 30. Let d be -3*o/(45/(-6)). Suppose d*u - 4*u = 2*u. Solve 0 = 5*k - u*k - 10 for k. 2 Suppose b + 8 = -5*k, 0 = -178*b + 181*b + 2*k - 15. Solve -b = -8*o + 25 for o. 4 Suppose -60*r + 1189 = -1480 + 329. Solve -r*c + 41*c + 2 = 0 for c. -1 Suppose v + 0*v - 2852 = -4*l, l - 2*v = 704. Let m = 726 - l. Solve o - 16 = -m for o. 2 Suppose -2*v + 0 = 5*t - 23, 0 = -4*t - 3*v + 24. Suppose 4*g - 10 - 14 = -4*c, 4*g - 19 = -t*c. Suppose k + 4*o = 3*k, k - c*o = -3. Solve s - 4 = -k for s. 2 Suppose -68*q - 202 = -73*q - 3*j, -j = -3*q + 124. Suppose -q*a = -6*a. Solve 9*k - 13*k - 8 = a for k. -2 Let y be 2/5 - 1092/(-70). Suppose -y*c - 2 = -17*c. Solve 6 = u + c for u. 4 Suppose 7*r + s - 9 = 3*r, r = 5*s - 3. Let x(v) = v**3 - v. Let l be x(0). Suppose l = 3*t, 2*t - 4*t = -f. Solve -r*g + 3*g = f for g. 0 Suppose 0 = -0*k + 4*k. Suppose -2*g + 4*g - 3*r = 0, 3*g + 5*r = 19. Let d be g/(-3 - (-16)/4)*1. Solve 3*h + k*h = d for h. 1 Suppose -6*l = -l + 135. Suppose -2*n - 6 = 12*z + 12, n + 10 = -5*z. Let m = n - l. Solve 3*s = -s + m for s. 3 Let y(v) = 9*v**3 + 15*v**2 - v - 32. Let t(c) = 4*c**3 + 7*c**2 - c - 16. Let n(x) = -7*t(x) + 3*y(x). Let p be n(-2). Solve p*i = -0*i + 12*i for i. 0 Suppose -2*b - 8 = 0, -2*x - 184 = 2*b - 652. Suppose 5*t = x - 58. Solve -10*h + 4 + t = 0 for h. 4 Suppose 34539 = -12*x - 19053. Let k be x/(-126) - (23/(-9) - -3). Solve -40*w = -k*w + 10 for w. -2 Suppose 0 = 4*i + 5 - 25. Let y(w) = -5*w + w - w + 16 + 3*w. Let q be y(8). Solve 2*m - i*m = q for m. 0 Let p(a) = -a**3 + 11*a**2 + 225*a - 309. Let g be p(21). Let z(d) = d + 11. Let u be z(-6). Solve u = m - g*m for m. -1 Suppose -h = -3 + 13. Let g(s) = -s**3 - 12*s**2 - 21*s - 1. Let t be g(h). Suppose y - 4 = f, 5*y - 11 = -f + t. Solve -z + 3*z + 4 = f for z. -2 Let q(v) = -19*v - 84. Suppose 5*n = -4*x - 20, 2*x - 10 = 4*x - n. Let i be q(x). Solve -5*h - 9 = i for h. -4 Let y = -167 - -171. Suppose 3*s = 6, -3*c + y = -0*c - s. Solve -6 - c = 4*w for w. -2 Let t be (-3)/5 - 138/(-30). Suppose -4*c + 1 = 5*i, 0 = -t*c - 2*i + 10. Let s be 16/c + (3 - 3). Solve -s + 2 = f for f. -2 Let g be 14 - (320/5)/8. Let n(q) = 12*q**2 - 71*q - 4. Let i be n(g). Solve 0 = 5*z - 4*z - i for z. 2 Suppose 0 = -8*s - 3*s - 3421. Let i = s - -315. Solve 2*z + i = 6 for z. 1 Let l be ((-22)/5 - -2)*(-125)/(-50) - -77. Solve 14*p - 13 - l = 0 for p. 6 Let r(z) = -12 + 0*z + 5*z - 3 + 17. Let u be r(0). Suppose -2*m = -m - u. Solve 4*d - m = 3*d for d. 2 Suppose -672*z + 382*z = 0. Solve 46*x - 28*x + 54 = z for x. -3 Let t(i) = -69*i - 203. Let y be t(-3). Suppose 2*c = 7*c - 15. Solve -y*v + c = -v for v. 1 Suppose -r = 5*x + 2, -4*r - 3*x = 22 - 31. Suppose -i + r*o = -13, 0 = 3*i + o - 1 - 8. Solve 3 = i*m - 1 for m. 1 Suppose -182 = -5*z - 212. Let b(m) = m**3 + 6*m**2 + 1. Let r be b(z). Solve 0 = -h - 6 + r for h. -5 Suppose 2*h + 4*x = 24, -5*h + 13 = -3*x + 5. Suppose 0 = 5*c + c - 54. Let d(l) = l**3 - 9*l**2 + 2*l + 2. Let w be d(c). Solve w = -0*r - h*r for r. -5 Let f(r) = r**2 + 13*r + 34. Suppose 5*b - 2*y = 2*y - 30, 5*y = -25. Let x be f(b). Suppose -g + 3*n + n - 17 = 0, -4*n = -x*g - 8. Solve 3*v - 18 = -g for v. 5 Let q be 0*(6/1)/6. Le
{ "pile_set_name": "DM Mathematics" }
0. 600000 Let c = 106 - 38. Let a = c - 114. Let n = -46.39 - a. What is n rounded to 1 decimal place? -0.4 Let q = 540479713.2 + -540480037.1999613. Let x = 1049 + -725. Let o = x + q. Round o to 6 dps. 0.000039 Let v be 287 - 1 - 0/1. Let o = -143 + v. Let r = o - 204. Round r to the nearest 10. -60 Let j be (-557198)/(-4) + (-26)/(-52). What is j rounded to the nearest 10000? 140000 Let r = -9.5 - -11. Let c = 3.6 - r. Let w = c + -2.07. Round w to 2 dps. 0.03 Let a = 91 - 82. Let t be 36/a*(-2 - -32502). What is t rounded to the nearest 100000? 100000 Suppose -3*b + 331356 = -7*b. Let y = -374839 - b. Round y to the nearest 10000. -290000 Let z = 2.952 + -2.73. Let p = -16714212.22199909 + 16714212. Let c = z + p. Round c to seven decimal places. 0.0000009 Let h = -570022 - -570287.149. Let t = h + -265. Let v = t - 0.16. What is v rounded to two decimal places? -0.01 Let g = 791.68861 - 0.08861. Let d = 673 - g. Let o = d - -104. Round o to zero dps. -15 Let z = -239 + 559. Let j = z + -319.813. What is j rounded to two decimal places? 0.19 Let p = 37778.9082 - 37786. Let x = p + 7.1. Round x to 3 decimal places. 0.008 Suppose -129 = -19*k + 18*k. Let x = 255 - k. Round x to the nearest ten. 130 Suppose 0 = 3*k - 4*k. Suppose 0 = -q - k*q - 121. Let y = q + 81. What is y rounded to the nearest 100? 0 Suppose 2*d + k + 0*k - 5 = 0, 4*d = 2*k + 6. Suppose -d*r - r - 4*l + 155992 = 0, 0 = -5*r - 4*l + 259992. Round r to the nearest ten thousand. 50000 Let k = -238.8998933 + 238.9. What is k rounded to 4 dps? 0.0001 Let c = 0.23 - -3.27. Let b = 1.8 - c. Let p = -2.2 - b. What is p rounded to one dp? -0.5 Suppose 0 = 4*g - g - 12. Suppose -g*q = q + 10. Let a(j) = 75001*j + 2. Let i be a(q). Round i to the nearest one hundred thousand. -200000 Let p = 19.1502 + -3.396. Let x = p - 19.561. Let i = x - -3.8. What is i rounded to three decimal places? -0.007 Let h = -124 + 117.61. What is h rounded to 1 decimal place? -6.4 Let l(p) = -16 + 4*p - 8*p + p**2 - 5*p**2. Let z be 66/(-8) + 3/12. Let d be l(z). Round d to the nearest one hundred. -200 Let s = 1552.98704 + -1553. What is s rounded to three dps? -0.013 Let m = 7 + 8. Let n = -589.266759 + 574.26676065. Let x = n + m. What is x rounded to seven decimal places? 0.0000017 Let c = 1753 + -1863.84. Round c to zero decimal places. -111 Let s = -13 - -6. Let l = 7.5 + s. Let m = l + 0.4. What is m rounded to zero decimal places? 1 Let i = -966.63 - 7.37. Let y = i - -973.999549. What is y rounded to 4 dps? -0.0005 Suppose 2*n - n - u - 6 = 0, 4*n = -5*u + 15. Suppose z = 3*f + 5370, 2*f - n*z - 2136 = -5716. Round f to the nearest 100. -1800 Let g = -5 - -8. Suppose 0 = g*n - 0 - 36. Let v be n*((-3637500)/(-9))/5. Round v to the nearest 100000. 1000000 Let o = 246066369715.387 + -246081282799.0869979. Let u = o + 14913055.7. Let g = u + 28. What is g rounded to 6 decimal places? 0.000002 Let f = 373 + -253. Suppose 132 = -a - f. Round a to the nearest ten. -250 Let b = -1737.3 + 1930. Let c = -202 + b. Round c to 0 decimal places. -9 Let t = -44 - -47.3. Let f = -3.49 + t. Let s = -0.18999652 - f. Round s to seven decimal places. 0.0000035 Let w be -1 - (1226920/3)/((-4)/(-12)). Let x = w - -6196921. What is x rounded to the nearest 1000000? 5000000 Let x = -0.13440793 + 0.1344. What is x rounded to six dps? -0.000008 Let k = 0.00435 + -49.18435. Let j = -0.02 + k. Let q = j - -63. What is q rounded to the nearest integer? 14 Let x = -0.33 - 0.27. Let j = x + 0.5975. Round j to 3 dps. -0.003 Suppose -18*o + 14*o - 4*i = -33248, -4*o + 33251 = i. Round o to the nearest one hundred. 8300 Let s = 80 + -98.8. Let r = s - 0.2. Let a = 21.1 + r. Round a to the nearest integer. 2 Let d = -60.5622 + 60.6. What is d rounded to three dps? 0.038 Let h = 3675 - 2396. What is h rounded to the nearest one hundred? 1300 Suppose 4*l - 2*f - 2 = 0, -3*f - 2 - 1 = -3*l. Let o = -1839731 - -3679731. Suppose l*y = -y + o. What is y rounded to the nearest one hundred thousand? 1800000 Let s(d) = d**2 + 8*d + 10. Let j be s(-6). Let b be j/(-4) - 179193/(-14). What is b rounded to the nearest one thousand? 13000 Let w(y) = -y**2 - 2*y - 380800. Let b be w(0). Let f = b - -800. What is f rounded to the nearest one hundred thousand? -400000 Suppose 997038 = 5*g - 8*g. Suppose z + 2*z - 384692 = 2*s, 0 = -z. Let j = s - g. What is j rounded to the nearest 10000? 140000 Let m(u) = 3*u - 1. Let l be m(0). Let r(y) = -581*y**3 + y**2 + 2*y. Let z be r(l). Round z to the nearest 100. 600 Let c be (-1 + -2 - -5) + -69. Let i = 159 + c. What is i rounded to the nearest 100? 100 Let w = 4496237 + 2703763. Round w to the nearest 1000000. 7000000 Let n = 4.1549 - 3.991. What is n rounded to 2 dps? 0.16 Let t = -9028 + 9028.0003729. Round t to five decimal places. 0.00037 Let r = 25.6 + -132.6. Let j = 107.0138 + r. What is j rounded to three decimal places? 0.014 Let f = 4.60343 - 4.648. What is f rounded to 3 decimal places? -0.045 Let d = -59 - -49.2. Let w = 693253999 - 693253989.20000078. Let i = d + w. What is i rounded to 7 decimal places? -0.0000008 Let m = -11492 - -11385.712. Let d = -106 - m. Round d to 1 dp. 0.3 Let p be ((-9)/3 - -103) + 6. Round p to the nearest 10. 110 Let c be (-1)/(2/(-4)) + 10. Suppose -2*w = 5*d - 43364 - 15816, 0 = -4*w - 3*d + 118388. Let y be (-152 + 2)*w/c. Round y to the nearest one hundred thousand. -400000 Let i = -4.05 + 4.15. Let g = -4 - -3.2. Let x = g + i. Round x to one dp. -0.7 Let q = -0.04013 + 0.16466. Round q to two dps. 0.12 Let u = -7 - -2. Let m(n) = -3*n**3 - 2*n**2 - 4*n + 7. Let t be m(u). Let i be ((-10)/2)/((-2)/t). Round i to the nearest 100. 900 Let t(c) = c**2 - 8*c + 16. Let o be t(6). Suppose -o*y + 15694 - 1694 = 0. Round y to the nearest one thousand. 4000 Suppose 53552 = 3*r - v + 152556, -r + 3*v - 33012 = 0. Round r to the nearest 10000. -30000 Suppose -4*n + 30926547 = -5*v, 2*n - 2*v + 23194916 = 5*n. Suppose n + 3628362 = -4*i. Round i to the nearest 1000000. -3000000 Let w = 0.067 - 31.067. Let o = w - -29.42. Round o to 1 dp. -1.6 Suppose -3*p - 27600003 = -3*b, 4*b + 4*p - 34509294 - 2290718 = 0. Let y(j) = -6 + 1 - b*j + 3 + 0. Let k be y(-1). What is k rounded to the nearest 1000000? 9000000 Let p = -9 + -18. Let i = 31 + p. Suppose t + 2*t = 3*k + 882, -i*t + 5*k = -1180. Round t to the nearest one hundred. 300 Suppose -2*o + 4*y + 930 = 0, 5 = -5*y - 5. Round o to the nearest ten. 460 Let f = -8.23 - -2.72. Round f to 0 dps. -6 Let x = 49.9 + -51. Let d = 0.5 + x. What is d rounded to zero decimal places? -1 Let p = -11165579.0533 - -11166593. Let x = p - 1014. Round x to 2 decimal places. -0.05 Let u = 0.742 - 0.740218. What is u rounded to five dps? 0.00178 Let s = 0.0338 - -1.6522. Round s to one decimal place. 1.7 Let v = -316948 + -1027033. Let t = -733981 - v. What is t rounded to the nearest one hundred thousand? 600000 Let h = 68896 - -357104. What is h rounded to the nearest one hundred thousand? 400000 Let n = 5679345 + 13530655. Round n to the nearest one million. 19000000 Let b = 10169297440.99999903 - 10169297510. Let r = 0.01 - -68.99. Let l = b + r. What is l rounded to 7 decimal places? -0.000001 Let r = -0.0676 - -0.06760549. Round r to 6 decimal places. 0.000005 Let m = 1720.95856 + -1751.96. Let c = 11 + 20. Let x = c + m. What is x rounded to 4 decimal places? -0.0014 Suppose 69*x - 22*x + 2297830000 = 0. What is x rounded to the nearest 1000000? -49000000 Let s = -40.11 - -0.11. Let i = -40.85 - s. What is i rounded to 1 decimal place? -0.9 Let w = -18 + 18.5. Let p = w - 0.4999972. What is p rounded to six decimal places? 0.000003 Suppose 0 = 5*k - 3*q + 10156, -2*k - 12*q = -14*q + 4064. What is k rounded to the nearest 1000? -2000 Let b = -7.6 - -1.6. Let a = b + 7.8. Let i = a + -1.788. What is i rounded to two dps? 0.01 Let m(c) = -39440*c**2 - 19*c + 336. Let t be m(-16). What is t rounded to the nearest 100000? -10100000 Let a = 2365695972.32208931 + -2365695949. Let r = 0.32208811 - a. Let c = 23 + r. Round c to 7 dps. -0.0000012 Let b = -83 - -90.6. Let w = -7.01 + b. What is w rounded to one decimal place? 0.6 Let j = -12.99 - -13. Let s = j - 0.01039. What is s rounded to four decimal places? -0.0004 Let p = -
{ "pile_set_name": "DM Mathematics" }
) -3 (c) t (d) 11 b Let k be (-30)/40*(-10)/15. Which is the biggest value? (a) k (b) -2 (c) 1.4 c Let v = 66 + -1. Let q = 327/5 - v. Suppose -c + 0*r = 3*r - 22, 2*c = -3*r + 29. What is the third biggest value in -2, c, q? -2 Let r = -50.078 + 0.078. Let p = r - -50.13. What is the third biggest value in 2/5, 0.5, -2, p? p Let c = -4142/7 - -592. What is the fourth smallest value in 1, -3, c, -0.5? 1 Let o = -105.26 - -103. Let m = 0.26 + o. Which is the second biggest value? (a) 1 (b) -3 (c) m c Let p = -14.154 + 0.154. Let t = p - -13.7. Which is the third smallest value? (a) 3 (b) t (c) 0.4 (d) -2/11 c Let w = 24 + -23.8. Let p be (7/28)/(1/(-4)). Suppose 5*x = -2 - 8. Which is the smallest value? (a) p (b) x (c) w b Let v = 41.9 - 42. Let d be 20/(-16)*4/3. What is the second biggest value in v, d, 2/13? v Let j = 308 + -308.01. Which is the second biggest value? (a) 0 (b) j (c) -0.3 (d) -0.5 b Let v = -7.27 + 7.57. Which is the third smallest value? (a) 0.1 (b) v (c) 1.54 c Let w = 25.97 - 26. Let k = w + -2.97. Let j = -101/3 + 34. Which is the smallest value? (a) k (b) j (c) 3/2 a Let a(w) = -5*w - 6. Let z be a(5). Let h = -31 - z. What is the second smallest value in -7, h, -1? -1 Suppose 3*l - 7*l - 5*v + 263 = 0, -l + 70 = -3*v. Let w = 267/4 - l. Which is the third biggest value? (a) 0.2 (b) w (c) 3 b Let z = 20 + -20.19. Let v = 0.222 + -0.012. Let f = z - v. Which is the second biggest value? (a) 0.5 (b) f (c) 3/5 a Suppose 56*d - 51*d + 3675 = 0. Let l be ((-84)/d)/(4/14). Let z = 2 + -5. Which is the second smallest value? (a) z (b) l (c) -2/5 c Let l = 1.69 - 1.6. Let o = 4.91 + l. Let z = -4.9 - -5. What is the second biggest value in 8, o, z? o Let z be ((-21)/91)/(12/8). Which is the second smallest value? (a) z (b) 0.16 (c) 0.07 c Suppose 0 = 6*x - 4*x - 4. Let o = -284.8 + 288.8. Which is the biggest value? (a) -0.2 (b) x (c) -0.1 (d) o d Let q = -4119/5 + 824. Which is the second biggest value? (a) 7 (b) 4 (c) q b Let j = -53 + 52.893. Let z = j + 4.107. Let t = -6.2 - -1.2. Which is the smallest value? (a) z (b) t (c) -3 b Suppose -3*z = -19*z - 80. Which is the biggest value? (a) -9 (b) z (c) 0 c Let z be (-202)/(-12) - ((-30)/(-4))/5. Let k = z - 16. Which is the third smallest value? (a) k (b) -0.02 (c) -2/7 b Let u be (-42)/(-18)*(-42)/(-49). Which is the second smallest value? (a) 0.3 (b) 3/5 (c) 0.33 (d) u c Suppose -30*q = 120 - 0. Which is the second biggest value? (a) q (b) 24/11 (c) 4/3 c Let v be 990/(-24) - (-8)/4. Let o = -39 - v. Let x = -18 - -18. Which is the third biggest value? (a) -5 (b) x (c) o a Let p = -0.21 - -0.2. Let v = -3.99 + p. Let y = 116.95 - 111.95. Which is the biggest value? (a) y (b) v (c) 1 a Let r = 32.6 + -32.6. Which is the third biggest value? (a) 2 (b) 187 (c) r (d) -3 c Let k = 0.29 + -0.29. Let t = -21 + 39. Which is the third biggest value? (a) k (b) t (c) 4/5 (d) -0.2 a Let g be 30/(-2)*16/(-12). Let j = -23 + 22. What is the third biggest value in -4/5, 0.1, j, g? -4/5 Suppose 0 = 32*g - 41*g + 45. What is the smallest value in 42, g, 4, -3/4? -3/4 Let t = -6.4 + 6.2. Let l = -4 - -3.7. Which is the second smallest value? (a) 2/9 (b) t (c) l b Let r = -13.03 - -13. Let w = r + 0.1. Let o = -3.07 + w. What is the third smallest value in -1/7, 0, o? 0 Let y be (-38)/10 - -2 - -2. Which is the second smallest value? (a) y (b) -3 (c) -4/3 (d) 2 c Let l = -9.5 + 9.9. Which is the second biggest value? (a) -1/12 (b) 1/5 (c) l (d) 10 c Let s = 329 - 332. What is the second smallest value in 2, 6, s? 2 Let s = 3.556 - 3.5. Let i = s - -1.944. Let t = -0.3 + 0.2. Which is the biggest value? (a) t (b) -0.3 (c) i c Let i = -135.5 - -135. Which is the second biggest value? (a) -3 (b) -1/13 (c) 1/2 (d) i b Suppose 7 = 4*s - 17. Let d(t) = -6*t + 40. Let l be d(s). What is the second biggest value in l, 0.4, 14? l Let x = 3.085 - -0.915. What is the biggest value in x, 9/4, -2/21, 3/8? x Let k = -4.2011 - -0.2011. What is the biggest value in k, -0.3, 155, 2/3? 155 Let s = 0 - -0.2. Let z = -15292/12735 - -2/2547. Which is the smallest value? (a) 1/4 (b) s (c) 5 (d) z d Suppose -4*p - 8 = 3*c - 6*c, 4*c - 15 = p. Suppose 4*x + 2 = 2*n, -c*n + 5*x + 10 = -9*n. Let l = -9.9 + 10. What is the third biggest value in l, n, 0.4? n Let v = 204 + -203.5. What is the second biggest value in v, -1, -27? -1 Let j = 4.08 + -4. Let l(p) = -p**2 - 21*p - 85. Let c be l(-15). Let q(y) = -2*y**3 - 4*y**2 - 3*y - 2. Let i be q(-2). What is the biggest value in j, i, c? c Let n be (-3 - 145/170)*28. Let v = -108 - n. What is the second smallest value in v, -4, -0.1? v Let m = -839.5 + 839. Which is the smallest value? (a) m (b) 2/11 (c) -147 c Let i = 15.1 + -10.56. Let g = i - 4.2. Let j = g - 0.14. What is the second biggest value in j, 1/2, 2/7? 2/7 Let u = 1.3 + -0.3. Let f = -14217 + 14217.2. Which is the smallest value? (a) f (b) u (c) -1 c Let p = -1.2 - -1. Let q be ((-848)/(-104) - 5) + -8 + -4 + 9. What is the biggest value in -5, p, q, 2/31? q Let v = 6.8 + 1.7. Let n = v + -9. Which is the third smallest value? (a) -3 (b) n (c) 1 c Let w be 1 + 3 + 504/(-147). Which is the second smallest value? (a) w (b) -0.1 (c) 4 (d) 82 a Let z = -47/63 - -1298/2331. Which is the third smallest value? (a) 1 (b) z (c) -0.2 (d) -0.4 b Let p be 3 + ((-2)/(-3))/2*3. Which is the second biggest value? (a) p (b) 0 (c) 3 (d) 1/7 c Let l be (-13)/(143/2) + 18/(-22). What is the second biggest value in 2, 0.4, l? 0.4 Let y = 21 - 15. Let j(a) = -a**2 - 21*a + 15. Let s be j(-20). Let x = s - 35. What is the second smallest value in y, -0.4, x? x Let y = -107 + 110.6. Let q = 4.1 - y. Let x be ((-2)/5)/((-3)/(-5)). Which is the third biggest value? (a) -3/4 (b) q (c) x a Suppose -2*q = 2*q + 4*i - 28, -22 = -4*q + 2*i. Let y be ((-1)/(-3))/((-2)/q). Which is the fourth smallest value? (a) 4/5 (b) y (c) 1 (d) 5 d Let t(g) = -g**2 - 5*g + 2. Let r be t(-6). Let z(x) = -x - 1. Let f be z(r). Suppose -4 + 13 = -f*u. What is the second biggest value in -2, 2/11, u? -2 Let z = 196 - 195.1. Which is the biggest value? (a) 5 (b) 0.2 (c) 0 (d) z a Suppose -2*b - 16 = 2*b. Let k(s) = -s - 1. Let a be k(-8). Let r be 8/a*(-7)/(-10). What is the second biggest value in -0.3, b, r? -0.3 Let x = 11.76 - 13.76. What is the biggest value in -0.033, 5, x? 5 Let x = -27 + 31. Suppose 6 = -2*s - x*h, -5*s + 3*h - 1 = -s. Which is the second smallest value? (a) -3 (b) -2 (c) s b Let l = -0.8 + 0.4. Let i = 0.231 - 0.231. Which is the third smallest value? (a) -0.1 (b) l (c) i (d) 2 c Let r be (-31)/465*1/((-4)/8). What is the third biggest value in 0.2, -3/4, 0.02, r? 0.02 Let d(f) = 5*f + 1. Let n be d(-1). Let z = -1.26 - -0.16. Let y = -0.9 - z. Which is the third biggest value? (a) -0.4 (b) y (c) n c Let p = -0.3 + 5.3. Let c(a) = -462*a - 1386. Let v be c(-3). What is the biggest value in 3, p, 0.3, v? p Let d = -1844 + 1844.1. Let x = 0.05 - 0.45. What is the second biggest value in 1/3, 7, d, x? 1/3 Let m = -5 + 3. Suppose -36*p + 37*p + 5 = 0. What is the third biggest value in p, m, 0.2? p Let z = -19.6 - -24.6. Let m = 4.9 + -0.9. Which is the second biggest value? (a) -3 (b) z (c) m c Suppose 21*n = -38 + 122. What is the second smallest value in -0.029, -1/6, n, -0.3? -1/6 Suppose 2*k + 0*k = -30. Let d be (-1)/4*10/k. Which is the biggest value? (a) d (b) 1/4 (c) -0.07 b Let s be 2/6 - (-26)/(-6). Let u = 23669 - 23668. What is the third smallest value in 2/5, u, s? u Let m be (3 + (-30)/9)/((-128)/(-6)). Let l = -125/192 + m. What is the smallest value in l, -0.06, 5? l Let z = 22 - 21.95. Let f = -0.09 - z. Let k = 3.14 + f. Which is the third smallest value? (a) k (b) 1/4 (c) 2 a Let p = -6 + 9. Let m = 2.08 + -2.28. Which is the second smallest value? (a) p (b) m (c) -1/8 (d) 0 c Let s = 0.2844 + -1.2844. What is the biggest value in -5, -4/3, s? s Let f = 1.69 + -1.69. Let u = f - -4. What is the third biggest value in 5, 3, -2, u? 3 Let f = 3.33 - 3.38. What is the second biggest value in f, -11, -1/2, 0.2? f Let d = 107 - 98. Which is the second biggest value?
{ "pile_set_name": "DM Mathematics" }
- -34. Let l(a) = 4*a - a - 10 + u. Give l(i). 8 Let o(d) = d**3 - 2*d**2 - 2*d - 4. Let p be o(3). Let v(w) = 11*w + 1. Let j(f) = -10*f - 1. Let u(z) = -3*j(z) - 2*v(z). Give u(p). -7 Let j be (-390)/(-52)*(-3)/(45/(-12)). Let l(x) be the second derivative of x**4/12 - 2*x**3/3 - 4*x**2 - 5*x. What is l(j)? 4 Let j(q) = 3*q. Let h be ((-2)/5)/(2/10). Let g be j(h). Let w(r) = -r**3 - 6 + 5*r**3 - 6*r**2 - 4*r**3 + 0 - r**3. Give w(g). -6 Let u(b) be the third derivative of -b**5/60 + b**4/12 + 2*b**3/3 - 323*b**2. Determine u(-3). -11 Let s(t) = t**3 + 4*t**2 + t - 3. Let m = 2 - -19. Let o = m + -9. Suppose -o = 5*u - 2*u, -p + u = -1. Give s(p). 3 Let n = -31 - -32. Let t(u) = 12*u - 1. Let v(r) be the third derivative of 13*r**4/24 - r**3/6 + 10*r**2. Let s(b) = 5*t(b) - 4*v(b). What is s(n)? 7 Let t(p) = -p**3 - 5*p**2 + 5*p + 3. Let z be 2 - -2*20/8. Let s be -3 - 4*z/2. Let q = s - -11. Determine t(q). 9 Let v(o) = -o**2 + 12*o + 2. Suppose -3*t + 3*d + 18 = 0, -51*t + 47*t = -5*d - 19. Determine v(t). 13 Let a be 10*(-1)/(-2) + (-36)/12. Let z(s) be the first derivative of s - 1/3*s**3 + s**a - 5. Calculate z(-3). -14 Suppose 3*d + 3*d = 0. Suppose -2*w - p + 2*p + 10 = d, w + p = 8. Let l(i) = i - 3. Calculate l(w). 3 Let h(d) = -8*d**3 + d. Suppose -2*k - 8 = 0, -i - k = -2*k - 5. Let s(y) = -2*y - 2. Let r be s(2). Let x be (-15)/(-18) - i/r. Calculate h(x). -7 Suppose 0 + 3 = -3*s. Let p(r) = -12883*r**2 - 2 - r**3 + 2*r + 3 + 12885*r**2. What is p(s)? 2 Suppose -15*x - 8 = 52. Let j(q) be the first derivative of q**4/4 + 4*q**3/3 - q**2 + 2*q + 5. Give j(x). 10 Suppose 0 = -3*k - 3*q + 3, 0 = -5*k + 6*k + 4*q - 16. Let y(z) = -z**2 - 5*z - 10. What is y(k)? -6 Let w(h) = -227*h + 112*h + 4 + 114*h. Suppose -23 + 3 = -4*j. What is w(j)? -1 Let l(s) be the first derivative of s**2 + 12*s - 183. What is l(-8)? -4 Let d(q) = 4*q**3 + 2*q**2 - q - 2. Let a(k) be the first derivative of -5*k**4/4 - k**3 + k**2 + 3*k - 10. Let b(r) = -5*a(r) - 6*d(r). Give b(-3). 9 Suppose n = 2*n + 1. Let m(w) = 14*w**3 - w**2 + 3*w. Let k(o) = -o**3 - o. Let z be 16/6 + 19/57. Let l(b) = z*k(b) + m(b). Determine l(n). -12 Let b(n) be the third derivative of -n**6/120 - n**5/6 - 11*n**4/24 - n**3 + n**2 + 33. Calculate b(-9). 12 Let q(u) be the second derivative of u**3/6 + 3*u**2/2 + 3*u - 6. Determine q(4). 7 Let h be (-8)/((-128)/56) + 1/2. Let y(c) = 2*c + 1. Determine y(h). 9 Let q(g) = g + 1. Let t(j) = 0 - j**2 + 3 + 0. Let n(v) = 5*q(v) - t(v). Let u = 9 - 13. Give n(u). -2 Let d be (-498)/(-18) - 1/(-3). Suppose u + 3*u = -d. Let c be (u - 0) + -3 + 4. Let j(o) = -2*o - 9. What is j(c)? 3 Let z be 9/((-60)/(-8) + -9). Let d(r) = r - 4. Give d(z). -10 Let t(k) = 4*k + 3. Let f be (-7)/(3/(-9)*-3). Let v be f + 5 + (-1)/(0 + 1). What is t(v)? -9 Let g = -85 - -88. Suppose 3 - g = -r. Let h(b) = -b**2 - b + 8. What is h(r)? 8 Let h = 564 + -571. Let a(f) = -3*f + 5. Give a(h). 26 Let r(z) = z**3 + 15 + 4*z**2 + 198*z - 182*z + 0*z**3 + 10*z**2 + 0*z**3. What is r(-13)? -24 Let p(i) = -i**3 + 4*i**2 - i - 1. Suppose 85 = -6*a + 11*a. Suppose -3*h = m - a, -5*h + 2 = -4*m - 15. Suppose -m*s = -0 - 6. Determine p(s). 5 Let a(k) = -5*k**2 - k. Let y be 18/(-72) - 59/4. Let v = y + 16. What is a(v)? -6 Let f(l) = -l - 20. Let k(u) = u + 22. Let r(t) = 4*f(t) + 3*k(t). What is r(-8)? -6 Let a be -1 + 7 - (-11 + 13). Let d be (1 - 0/a)*3. Suppose -3*w + 6 = 3*u, 0 = -4*w + 6*u - d*u + 8. Let f(x) = -6*x - 2. Give f(w). -14 Let r(l) = l - 25*l**2 + 6*l + 14*l**2 + l**3 - 14 - 3*l. Give r(11). 30 Let f(p) = -p**3 + 4*p**2 - 1. Let r be (3 - 27/12)*4. Calculate f(r). 8 Let m(u) = -16*u + 5*u + 1 + u**2 + 1 + 0*u**2. Suppose -6*n - 6 = -i - 10*n, -3*i + 34 = -4*n. Calculate m(i). -8 Let n(q) = 3*q**2 - 44*q - 4 - 3 + 1 + 39*q - 2*q**2. What is n(7)? 8 Let u(o) = -1 - 31 - 21*o**2 + o**3 + 12 + 21*o. Calculate u(20). 0 Let o(p) = 7*p**2. Let c(h) = -27*h**2. Let i(l) = 2*c(l) + 9*o(l). Calculate i(-1). 9 Let m be (6/(-8))/(9/(-24)). Let r(o) = 11*o - 9 + 461*o**3 - 9*o**2 - 460*o**3 - m*o. Determine r(8). -1 Let k(c) = -4*c. Let n(t) = 4*t**2 - 3*t - 2. Let m = 2 - -1. Let i be n(m). Suppose -4*o = -g + 17, 0*o = 5*g - 5*o - i. Determine k(g). -4 Let a = 15 - 20. Let c be (-15)/9*(1 - 4). Let z(h) = 3*h**3 - 5*h**3 + c + 3*h**3 - h + 3*h + 5*h**2. Determine z(a). -5 Suppose 5*n - 28 = 12. Suppose 3*w - n = w. Suppose -w*b + 10 = 3*c - 9, 6 = 2*c + b. Let a(q) = -3*q + 1. What is a(c)? -2 Let w(q) = -1 + 11*q - 5 - 8*q + 3. Calculate w(3). 6 Let x = -1 + 1. Let u(p) be the first derivative of -p**3/3 - p**2/2 - 11*p - 25. Give u(x). -11 Let s be 16/(-3)*15/(-10) - 4. Let m(c) = -2*c**2 - c**2 + 5 - 3 + c**3 - 4 - 2*c. Calculate m(s). 6 Let v(g) be the first derivative of 783*g**2 - 4*g - 394*g**2 + 23 - 388*g**2. Give v(3). 2 Let i(b) = -6*b**2 - 4*b**3 + 3 + 106*b + 5*b**3 - 113*b. Let g(q) = -q + 2. Let p = 12 - 17. Let j be g(p). Calculate i(j). 3 Suppose 4*l = -5*p + 6, -12*l - 9 = -2*p - 7*l. Let u(o) be the first derivative of 2/3*o**3 + 1 + 1/2*o**2 + 0*o. Determine u(p). 10 Let s(h) be the third derivative of h**8/6720 + h**7/630 - h**6/144 - h**5/120 + h**4/4 + 3*h**2. Let n(o) be the second derivative of s(o). What is n(-5)? -1 Let i(m) = 4*m. Let w = 11 - 12. Let t = w - -4. Let h be -4 + -2*(-3)/t. Give i(h). -8 Let y(v) = -6*v - 4. Let t be y(-1). Suppose 3 = -q + t*k, -9 = -q - 0*k - k. Let o(x) = 3*x - 4*x - 6 + 2*x. What is o(q)? -1 Let r(z) = 7 + 6649*z + 7 - 6650*z. What is r(7)? 7 Let f(d) be the second derivative of -d**4/12 - 4*d**3/3 + 4*d**2 - 15*d. Give f(-10). -12 Let v(c) be the second derivative of c**4/12 + 5*c**3/6 + 9*c**2/2 - 321*c - 2. Give v(-2). 3 Let y(w) = -w**3 - 3*w**2 + 3. Let x be y(-3). Let m(b) = -5 + 5 + 3*b - 3 - 9 + 10. What is m(x)? 7 Let s(r) = -r**3 + 5*r**2 - 5*r + 6. Suppose 3*u - 6*u - 27 = 0. Let j = u + 4. Let o = j - -9. Calculate s(o). 2 Let m(d) = 87*d + 88*d + 79*d + 80*d - 333*d. Let r be 2/7 + (-52)/(-14). Determine m(r). 4 Let z(w) be the first derivative of 4*w**3/3 + 3*w**2/2 + w + 1. Let s(n) = n**3 + 10*n**2 - 2*n - 2. Let r be s(-10). Let o be 1*(r/(-3) - -4). Calculate z(o). 11 Let q(s) = -s**3 + 6*s**2 - 5*s - 3. Let c be (-1)/(((-20)/(-96))/(-5)) - 2. Let m = c - 17. Calculate q(m). -3 Suppose 0*o + 14 = 2*o. Suppose 3*l = -3*j - 3, -2*j + 4*j - o = l. Let z(i) = 3*i - 2. Let p be z(j). Let t(v) = -2*v + 3. What is t(p)? -5 Suppose -2*j - 3*o - 8 = 0, 2*j + 8 = -2*o + 4. Let z(v) = -6*v**2 + 3*v - 2. Give z(j). -20 Let y(m) = -2 - 4 + 5 + m + 0*m. Let v(a) = -a**2 - 6. Let i be v(0). Determine y(i). -7 Suppose v + 4*l = -22, 3*v - 4 = -0*v + 2*l. Let k = 7 - v. Let n(r) be the second derivative of -r**3/3 + 6*r**2 + 35*r. What is n(k)? -6 Let f(x) = -7*x - 11. Let w = -11 - -24. Let z(d) be the first derivative of 15*d**2/2 + 23*d - 4. Let u(p) = w*f(p) + 6*z(p). Give u(0). -5 Suppose 0 = 3*n + 2*u + 4, 4*n = -2*u + 3*u + 13. Let k(w) be the second derivative of -2*w**3/3 + w**2/2 - 3*w + 1248. Give k(n). -7 Let m(f) be the second derivative of -f**4/6 - 5*f**3/6 + 5*f**2/2 + 17*f. Calculate m(-5). -20 Let k(n) be the second derivative of n**3/3 - 2*n - 2. Determine k(-2). -4 Let r(a) = 7*a**2 + 5*a. Let k(h) = -5*h**2 - 7*h. Let q(l) = 2*k(l) + 3*r(l). Calculate q(-1). 10 Let y(r) be the first derivative of -r**3/3 - 4*r**2 - 4*r + 50. Let h(q) = q**3 + 7*q**2 + 2*q + 10. Let i be h(-7). Give y(i). 12 Let z(x) be the third derivative of 0*x + 1/60*x**5 - 1/24*x**4 + 0 - 2*x**2 - 1/2*x**3. Give z(0). -3 Let q(d) = -4*d - 101. Let r(j) = 2*j + 50. Let x(f) = -4*q(f) - 9*r(f). Let u be x(-26). Let l(h) = -h**2 + 4*h + 8. Determine l(u). -4 Suppose x = -4*f + 19, -3*x - f + 2 + 0 = 0. Suppose -p - 3*n = -3*p + 254, -4*n = 16. Let s(c) = p - 121 + 5*c. Calculate s(x). -5 Let n(y) = y + 11. Let p be n(-7). Suppose p = 4*m - 8. Let u(f) = -8*f**2 + 7*f + 7. Let i(g) = 5*g**2 - 4*g - 4. Let b(j) = -5*i(j) - 3*u(j). What is b(m)? -13 Let k(t) = 3*t**3 - 2*t - 1. Let r = -25 + 12. Let p = 9 + r. Let b be -1 + p + 9 + -5. Determine k(b). -2 Let v(u) = -16*u - 6. Let l(x) = -7*x - 2. Let q(d) = 7*l(d) - 3*v(d). Determine q(11). -7 Let t(z) = 34*z**2 + 33*z**2 + 3 + 0 - 95*z**2 + z**3 + 34*z**2 + z.
{ "pile_set_name": "DM Mathematics" }
Suppose -3*s - 57 = -6*s. Is s a composite number? False Suppose -3 = -z + 27. Let n = 53 + -36. Let v = n + z. Is v a prime number? True Let m(p) = 20*p**2 - 2. Is m(3) a prime number? False Let k be ((-142)/(-3))/((-8)/(-60)). Suppose -1756 + k = -3*d. Is d a prime number? True Suppose 5*d - 7 - 33 = 0. Let k = -6 + d. Suppose -7*x = -k*x - 35. Is x a prime number? True Let x(p) = -100*p - 1. Let u be x(-1). Suppose 94 = 3*d - 29. Let a = u - d. Is a prime? False Suppose 6*w - 140 = 1162. Is w a composite number? True Suppose -484 = -2*k - 66. Is k composite? True Let a = -24 - -38. Let m be (-4)/a + (-176)/(-28). Let r(t) = -t**2 + 7*t. Is r(m) prime? False Let s(n) be the third derivative of n**5/10 - 7*n**4/12 + 3*n**3/2 + 9*n**2. Is s(6) composite? True Let a(c) = 4*c**2 + 4*c + 2. Let i(k) = -3*k**2 - 3*k - 1. Let l(h) = -2*a(h) - 3*i(h). Let j be l(0). Is j/(-2 + (-234)/(-118)) a prime number? True Let d(f) = -f**3 + f**2 + 4*f + 9. Is d(-5) prime? True Suppose 8*m = 4*m + 4468. Is m a composite number? False Suppose 5*u - u + 2*x = -4, x = -3*u - 2. Let r = 0 + u. Suppose 0*z + 11 = q + 2*z, -z - 4 = r. Is q composite? False Is (-1 - (-16)/14) + 15096/21 prime? True Let t = -661 - -4076. Is t a composite number? True Let k(j) = -29*j**2 - 17*j + 4. Let r be k(-13). Is 1/3 + r/(-21) composite? False Is (-1 - -4)*70/30 composite? False Suppose 3*q + 4 = 205. Is q prime? True Suppose 5*a - 14069 = -4*f, -3*f + 10518 = -2*a - a. Is f a prime number? True Is (-597)/(-9) + 16/24 a prime number? True Let b(r) = 16*r + 3. Is b(10) composite? False Suppose 0 = 10*o - 5*o - 2390. Is o a composite number? True Let v = 1097 - 540. Is v composite? False Let n(a) = 5*a**2 + 3*a + 1. Let h(x) = 5*x**2 + 3*x. Let g(w) = -6*h(w) + 7*n(w). Let f be g(5). Let q = f - 64. Is q prime? True Suppose 0*s - 4*s = -148. Is s a prime number? True Suppose 0 = 5*l + 3*y - 1043, 122 = 2*l - 3*y - 312. Is l prime? True Is ((-2164)/2)/(-2) - (1 + -1) a prime number? True Let y = 3 + -1. Let q be (-4)/(-6)*(-21)/y. Let f = q + 96. Is f a composite number? False Suppose -v + 2*v = 906. Suppose 0 = -5*r - 5*u + 900, 5*r - u + 0*u = v. Is r prime? True Let a = 149 + -70. Is a a composite number? False Let q = -38 - -924. Is q a prime number? False Let d(a) = a + 37. Suppose 4*i - 2*f - 8 = -4*f, 4*f + 5 = -i. Suppose 4*b - 6 = -i*t, 2*b = -2*t - 2 + 6. Is d(b) a prime number? True Let a(z) = z**2 - 5*z. Let v be a(6). Is (v/18)/((-2)/(-318)) composite? False Let d = 201 + 48. Suppose d = 3*n - 0*n. Is n a prime number? True Suppose 3*b - 165 = -2*b. Let y = 152 + b. Is y a composite number? True Suppose -3*m = 2*m - 15, 3*l - 3*m - 465 = 0. Is l/3*12/8 composite? False Let b(v) = 22*v + 9. Is b(4) a composite number? False Suppose -3*w = -2*g + 224, -5*g + 54 = -3*w - 524. Suppose 0 = 2*d - 2*l - 82, -3*d - 3*l - 7 = -g. Is d a prime number? False Let y(x) be the second derivative of -3*x**5/20 + x**3/6 + x**2/2 - x. Let z be (-16)/7 + (-4)/(-14). Is y(z) a prime number? True Let a be (185/2)/(-5)*-2. Suppose 3*n - 452 = a. Is n prime? True Suppose 5*r + 3*j + j = 1551, 287 = r - 5*j. Is r composite? False Let j = 56 + -1. Is j prime? False Let x(v) = -48*v**3 + 2*v**2 - 4*v - 5. Is x(-2) a composite number? True Let g = 340 - 66. Is g a prime number? False Suppose 14*n = -9525 + 29447. Is n a prime number? True Suppose 0 = -4*b + 5641 + 647. Suppose 0 = 3*z - b + 243. Is z prime? True Suppose -3*z + 15 = -3. Is 12252/27 + z/27 a prime number? False Suppose -7*o = -3*o + 12. Let x(j) = -21*j + 4. Let m be x(o). Let n = m + -32. Is n a composite number? True Suppose k = -0*k + 71. Suppose i = -5*y - i + 60, 0 = -4*y - 4*i + 48. Let t = k - y. Is t a prime number? True Suppose 2*g - g - 2 = -2*k, -4*k - 14 = -g. Let j be ((-2)/g)/((-1)/6). Suppose 5*c - y = c + 143, 4*c = -j*y + 158. Is c composite? False Let g be -2 + (-4)/(4/(-35)). Let j = 83 - g. Suppose f - j = -f. Is f a prime number? False Let r = -8 + 16. Suppose r*m - 254 = -u + 3*m, u + m = 258. Is u a composite number? True Let d be (-1 - 2)/(-1 + 0). Suppose 0 = d*o - 22 - 35. Is o composite? False Let p(y) = y**2 + 10*y + y**2 + 0*y - 1. Let b be p(-7). Let r = b - 16. Is r a prime number? True Let c(t) = 3*t**3 + 4*t**2 - 7*t - 18. Let a be c(-5). Let j = -342 + 177. Let g = j - a. Is g prime? False Let i(o) = 5*o**3 - 2*o**2 + 2*o - 1. Let z be i(1). Suppose -8 + 24 = z*b. Suppose 5*d - 50 = q - 4*q, 27 = b*d + 5*q. Is d a composite number? False Suppose 24*z - 21*z = 8997. Is z composite? False Let i(w) = w**2 - 2*w - 11. Let v be i(-8). Suppose -101 = -2*m + v. Is m composite? True Suppose 132 = f - 68. Suppose -d + f = n, 0*d + 4*d = -3*n + 597. Is n composite? True Suppose 270 = o + 4*u, u - 760 = -5*o + 571. Suppose -2*i + o = z, 4*z - 17 + 1 = 0. Is i composite? False Suppose -2*d + o + 1678 = 0, -5*o = 4*d + d - 4195. Is d composite? False Let a = -4 + 23. Suppose 8 = -q + a. Is q composite? False Suppose t - 9 = 5*w, -5*t - 6 = w + 1. Let j(u) = -28*u. Let o be j(t). Suppose z = -z + o. Is z a prime number? False Suppose -586 = -i - i. Is i a composite number? False Let i(t) = -7*t**3 + 14*t**2 + t + 4. Let z = 0 + 5. Let h(k) = -10*k**3 + 21*k**2 + k + 6. Let f(w) = z*h(w) - 7*i(w). Is f(6) prime? False Let s = 1034 - 543. Is s a prime number? True Let j = 2 + 2. Suppose 2*x - 138 = -j*m, -m + 17 = x - 17. Is m a prime number? False Suppose -3*n = -2 - 7. Let i be 3*((-4)/n + 1). Let r(b) = -180*b**3 - 2*b**2 + 1. Is r(i) a prime number? True Suppose 0 = -4*q - 4 - 16, 5*w - 1595 = 2*q. Is w prime? True Suppose -2*d - 6 = -5*d. Suppose 0 = -d*p - 13 + 63. Is p a composite number? True Let c(q) be the first derivative of 22*q**3/3 + q**2/2 - q - 5. Is c(6) a prime number? True Let o(u) = 11*u - 10. Let c(y) = -y + 1. Let n be (-5)/(0 - -1) + 0. Let l(s) = n*c(s) - o(s). Is l(-5) composite? True Let q(h) = -67*h**3 + h**2 - h - 1. Is q(-2) composite? False Let w(l) = l**2 - 2. Let g be w(2). Suppose -2*t - g*t + 76 = 0. Is t a prime number? True Suppose 688 = 4*n + 5*k, 2*n + k = -180 + 518. Is n prime? True Let q be (6/4)/((-6)/(-24)). Is (-642)/(-18) + q/(-9) a composite number? True Let q(h) = -h**2 + 6*h. Let z be q(6). Suppose z = p - 0*p - 47. Is p a prime number? True Let w be 4/3*18/4. Let o be w/(23/(-10) + 2). Is (-5)/o + 51/4 a prime number? True Suppose -15 = -4*h - h. Let j be 3 + (-10 - -1)/h. Suppose j = -3*t - 22 + 631. Is t a prime number? False Suppose 2*k = -k + 12. Let i = k + -2. Suppose i*a = 35 + 57. Is a prime? False Let t be 3/(-12) + (-217)/(-4). Suppose 2*c - 62 = t. Is c/3 + 3/(-9) prime? True Let n be (-66)/(3/((-18)/4)). Suppose -471 = -5*w + p, w + 9 = -4*p + n. Is w a composite number? True Suppose 0 = 5*q - q - 1324. Is q prime? True Suppose 0 = -0*y - 3*y + 3*o - 15, -4*y - 5 = -o. Suppose 25 = x + 4*x. Suppose 5*l = -2*w + 228, -3*l - x - 1 = y. Is w a composite number? True Let l be (-6)/(-15) + 168/5. Let k = 60 - l. Is ((0 + k)*-1)/(-2) composite? False Let v be ((-61)/4)/(9/(-36)). Let j = v - -6. Is j a composite number? False Suppose -5*a + 2*v - 4*v - 51 = 0, -a + 3*v = 0. Let j = a - -31. Is j a composite number? True Suppose k - 2*k = -15. Let g = k + -6. Is g a composite number? True Suppose q = 2*f - 13, 6*f - 2*f - 5*q - 41 = 0. Let p(n) = 6*n + f*n**2 + 4*n - 4*n + 5. Is p(6) a prime number? False Suppose -5*r + 12 = -38. Suppose -5*z + 6 = -4*f + 41, 0 = 2*f - r. Is z*211*2/(-6) prime? True Suppose -5*q + 4*q + 438 = 0. Suppose p = 4*p - q. Suppose -5*k + j = 22 - 206, 4*k - 2*j - p = 0. Is k a prime number? True Let f be (-1 - (-3 - -3))*1. Let w = f + 8. Is w a composite number? False Is (1 + 105)*(0 - -1)*1 a composite number? True Suppose 0*q = -5*q - 25, -5*w - 2*q = -1345. Is w a composite number? False Let p(u) = -6*u**2 + u - 3. Let s be p(-3). Is (31/(-4))/(15/s) prime? True Is 2/9 - (0 - (-16804)/(-36)) prime? True Suppose 4*p - 5*k - 6604 = -k, -4*p = 3*k - 6604. Is p a prime number? False Let w(p) = -3*p**3 - 3*p**2 + 5*p - 4. Is w(-5) a composite number? False Let w(m) = m**3 + 8*m**2 + 9*m + 9. Let i be w(-7). Suppose 3*z = 73 - 16. Let k = i + z. Is k a prime number? False Let p be (-278)/(-5)*(-20)/(-8). Suppose -p = -5*u - 14. Is
{ "pile_set_name": "DM Mathematics" }
*j - c*o + k, -j + 4*o = -o + 26 for j. -1 Let y = 417 + -393. Solve 0 = z - 2, 5*s = -z + y + 3 for s. 5 Let w be (-37 - 0)/(42/10 - 4). Let c = 190 + w. Solve k - 10 = 2*o, o - c*o - 16 = -k for o. -3 Let k = 1129 + -1127. Solve -2*t = 3*n - k, -6 = -408*n + 409*n - t for n. -2 Let n(l) = l**3 - 10*l**2 + 8*l - 1. Let z be (-2)/(-1)*(-4)/(-6)*6. Let i be n(z). Let c = -61 - i. Solve a + 0 - 5 = 0, 3*r - c*a = -23 for r. -1 Let d = 75 + -109. Let x = 10906 - 11018. Let c be d/14 - -2 - 160/x. Solve 4*n + c = -5*g, 2*g - 21 = -g + 3*n for g. 3 Suppose 2*r = -3*b + 28 - 19, -r - 2*b + 5 = 0. Suppose -3*i + 3*k = -i + 8, -5*k + 30 = 5*i. Solve i*s + t = -5, -5*s + 4*t - 16 - r = 0 for s. -3 Suppose -3*v = -2*z, -170*v + 3*z = -173*v + 15. Solve -2*y = 5*h, -9 - 7 = -v*h - 4*y for h. -2 Suppose 5*k - 5*m - 40 = 0, -21 = -4*k + 5*m + 11. Solve -5*p - 4*v = 6 + k, 3*v + 3 = 0 for p. -2 Let w = -9348 - -9350. Solve 4*d = w*u - 12, 59*d = 61*d + u + 10 for d. -4 Suppose 5 = 4*f - 7, -6 = c - 3*f. Let x = 17 - 6. Suppose 0 = -5*z - 10, -1 = k - c*z - x. Solve 0 = -l + 2*a - 10, -2 + 10 = -5*l - k*a for l. -4 Let a(z) = 22*z + 1567. Let p be a(-71). Solve 31*i - x + 15 = 26*i, i - p*x = -3 for i. -3 Let t = -236 - -240. Suppose 4*d + 7 + 1 = -t*y, 3*y + 1 = -2*d. Solve -m = -3*b - 4*m - 18, y*b = -4*m - 20 for b. -4 Let u = 10593 + -10589. Solve j + u = -a, -5*j + 5*a = 27 - 7 for j. -4 Let c be (-3927)/(-306) - 10/12. Let q = 9 + -12. Let g = q - -5. Solve -3*y - 3*s = -s - c, g*s = 0 for y. 4 Let u be ((-1)/5)/(333/(-30) - -11). Solve -4*d - u = -i, d - 4*d = 3*i + 9 for i. -2 Let r(y) be the third derivative of -y**4/4 + 7*y**3/2 - 15*y**2. Let b be r(0). Suppose 0 = -b*q + 27*q - 66. Solve 0*s - 3*s = -p + q, 3*s = -p - 19 for s. -5 Let v(d) = 52*d**2 + 13*d - 2. Let j be v(-1). Solve -42*o = 3*i - j*o - 40, -5 = i - 2*o for i. 5 Suppose -2*g = t - 10, 5 - 20 = -5*g. Solve -8 = -t*b + 4*f, 3*b = -5*f - 1 + 7 for b. 2 Suppose 4*z - 12 = 4. Let y(d) = 56*d + 60. Let s(q) = -q + 3. Let r(c) = -36*s(c) - 2*y(c). Let w be r(-3). Solve w = -5*l + 2*t + 15, z*t + 14 = -l + t for l. 1 Let o(z) = -z + 5. Let p be o(3). Suppose l = -p*g + 12, 3*l + 0*g - 44 = -2*g. Let f be (-24)/l*(-16)/6. Solve 9*d = 4*d + f*w - 31, -12 = -3*w for d. -3 Suppose -15*h - 3*h - 54 = 0. Let k be (-93)/(-62)*(-10)/h. Solve 2*d - 10 = 3*c - k, 2*c + 35 = -5*d for c. -5 Suppose 3*r - 35 = -5*l, -3*r - 4 = -3*l - 7. Solve -33 = -2*w - r*b - 47, -w + 19 = -4*b for w. 3 Let r(n) = -164*n - 2457. Let x be r(-15). Solve 6 = -x*u, 5*u = -3*t - 4 - 9 for t. -1 Suppose 62*i + 45*i = 321. Solve 3*t + 4 = i*w + 2*t, -2*t + 3 = 5*w for w. 1 Let v(h) = -2*h**3 + 70*h**2 + 3*h - 79. Let s be v(35). Suppose -s = -5*r - 3*d - 7, -2*r + 20 = -5*d. Solve 3*i = -3*c - 12, 3*i + r + 6 = -2*c for c. -1 Suppose -1157 - 931 = -231*i - 240. Solve -4*z - i = -2*n, 2*n - 8 = -2*z - z for n. 4 Suppose -7*o - 42 = -j - 4*o, -2*o - 6 = 0. Suppose -5*r + 2 + j = 0. Suppose r*z - 5*z - 6 = 0. Solve z*q = 5*g + 16, 3*g - 3*q = 5*g - 2 for g. -2 Suppose 2*y - 4*y = 5*b + 24, y + 3*b + 13 = 0. Let f(u) = -11*u - 72. Let q be f(y). Solve q*l = 5*g + 5, 0 = l - 0*g + 3*g - 9 for l. 3 Suppose -5*v - 112 = f, -3*v - 14 = -4*f - 370. Let w = f + 97. Solve 4*z + 2*r - 8 = 0, 20 = -z + 3*z + w*r for z. 0 Let n(m) = -m**3 + 9*m - 10. Let c be n(2). Solve c = -g + 5, 0 = -0*r + 3*r - g - 10 for r. 5 Suppose 4*y - 6 = y. Suppose -2*j = -4*p - 24, 6*p = -4*j + 9*p + 23. Let l be (8/2 + -3)/(j/10). Solve -15 = 2*z - 4*z - l*i, y*z = 3*i - 9 for z. 0 Let l be (3 + -1)*((-260)/8)/(-5). Suppose -340 = 9*i - l*i. Let a = i - 81. Solve r + 1 = n, 2*n - 6 = a*n for r. -4 Let n be 1*17 - 55/(-11). Suppose 5*s = -3*k + n, 2*s - 11 = -0*s + k. Solve -5*w - 4*o = 13, 5*w + s = -5*o - 10 for w. -1 Let w be (-3)/(6*(-5)/40). Suppose w*y - 9*y + 25 = 0. Solve -2*v = 6, -4*v - v = -y*a + 25 for a. 2 Let i be (-7)/(-7)*(16 + -12). Solve 0 = t - 3*w + i, 3*t + 6*w = 2*w - 12 for t. -4 Let k(q) = 3*q**2 + 101*q - 757. Let v be k(-40). Let h = 0 - -3. Solve 0 = -v*s, -h*s + 1 = -0*w - w for w. -1 Let n(a) = 17*a**2 + 254*a - 15. Let t be n(-15). Solve t = 5*g + 15, -4*g - 36 + 4 = 5*z for z. -4 Let t = -32 + 28. Let i(q) = -q**2 + 2*q + 10. Let l be i(t). Let d be ((-6)/(-14) - 134/l)/2. Solve w - 19 = 4*g, g + d*w + 2 + 8 = 0 for g. -5 Let g(s) = -2*s**3 + 141*s**2 - 1357*s + 4. Let a be g(59). Let f be (3 - 0)/(3/6). Solve a*u = -4*m - u - f, u = -5*m - 18 for m. -4 Let g be 11 - 517/(-99) - (-4)/(-18). Suppose g*a = 14*a + 10. Solve 0 = 2*r - 4*o + 12, -o + 3 + 11 = a*r for r. 2 Suppose -5*r + 14 = -16. Suppose -8*j + 66 = -5*j. Solve -2*d + d = -5*y + j, -2*d + r = 0 for y. 5 Let y(v) = -v**2 - 8*v + 2. Let r be y(-4). Let k = -3 + r. Suppose -62 = -k*s + 133. Solve 3*f - s = 2*c, -3*f - c = c - 17 for f. 5 Let h(y) = 9*y**2 + y + 2. Let p be h(-2). Suppose -3*q = -63 - p. Solve 5*f - q = -2*j, -4*f - 20 = -8*f for j. 4 Let j(a) = a + 1. Let q be j(1). Let m(n) = -n**3 + 8*n**2 + 2829*n - 25376. Let o be m(9). Solve -5*i = -2*s - 14, -o*i + 0*i = q*s - 22 for i. 4 Let u = 2811 - 2801. Solve 28 = -4*s + 3*w, 8*s + 12 = u*s + 5*w for s. -4 Let t = 10707 - 10704. Solve 3*l - t = 4*c - 20, -27 = -5*c - 2*l for c. 5 Let r = -5479 - -5483. Solve r*z + 6 = -o, -o + 8 + 0 = -3*z for o. 2 Let j = 252 + -240. Solve 0 = 11*m - 8*m + g + j, -4 = m - g for m. -4 Let v = -392 - -398. Suppose -5*s + 5 = 4*c - 14, 3*c + s - v = 0. Solve -3*i - 3*z + 15 = 0, 0 = 5*i + 3*z - c - 16 for i. 1 Let x = -1200 + 1210. Let a(j) = -j**3 - 19*j**2. Let c be a(-19). Solve -3*t - 4*m + 27 = 0, -3*t + 2*m + x - 1 = c for t. 5 Let p(h) = 2*h**2 - 29*h + 44. Let q be p(13). Suppose -4*s - 19 = -b, q*s - 122 = -4*b - 4. Solve c = 5*v - b, -3*v + v + 16 = -3*c for v. 5 Let t = 129 - 130. Let a be (-150)/(-35) - 6/(-21)*t. Solve w - 2*b = 2, w + 3*b = a*w - 9 for w. 4 Suppose -w = -3*k + 19 - 49, -w - 2*k + 25 = 0. Suppose -w = -6*d + 45. Let f be ((-2)/(-3))/(4/d). Solve -2*o + 12 = 4*a - f*a, 5*a - 24 = -2*o for o. 2 Suppose 30*r - 34*r - 4*f = 40, -r + 5 = -4*f. Let d(h) = -h**3 - 7*h**2 - 5*h - 29. Let w be d(r). Solve -2*x = -w*x - 5*v + 12, 4*x - v = -12 for x. -2 Let b = -8170 - -8170. Solve -w + 5*z + 20 = 0, b = -4*w + 5*z + 21 + 14 for w. 5 Let w = 510 - 504. Let d(t) = 2*t. Let y be d(w). Suppose -3*n + r = 2*r - 3, -2*n = r - 1. Solve -g - y = -n*p, -p = -5*g - 32 + 8 for g. -4 Let w(r) = r + 27. Let v be w(-15). Let q be 4/(-26 + 2) - (-2)/v. Suppose q*b + 2*s + 4 = -3*b, b - 7 = s. Solve 0*m + b*t = -2*m - 6, 3*m - 3*t = -15 for m. -4 Suppose -59*m + 807 + 137 = 0. Solve d - m = 3*u - 3*d, 5*d = 5 for u. -4 Let o = 170 + -179. Let d be o/(-10) - (-38)/380. Solve 4*t = 3*w + d, -2*t - 19 = 4*w + w for t. -2 Suppose 3*n = 13*n - 80. Suppose -3*o - 35 = -n*o. Solve -5*h = p - 13 - o, -4*p + 5*h + 5 = 0 for p. 5 Let g(q) = -9*q**2 - 47*q + 68. Let u be g(-6). Solve -a + 2*o + 1 = 0, 6*o = 4*a + 9*o - u for a. 5 Let b(g) = 5*g - 11. Let m be b(1). Let i be (((-16)/(-3))/2)/((-4)/m). Let q be (-1)/(((-1)/i)/1) - -1. Solve 7 - 2 = -q*v, -4*r - 4*v = -12 for r. 4 Let y be (((-84)/(-40))/(-7))/((-222)/2220). Solve 4*w + 2*x - 8 - 4 = 0, -8 = -y*w - x for w. 2 Let h(w) = 26*w**3 - w**2 - w + 5. Let x be h(-3). Let v = x - -703. Suppose 7 = -f - 5*u, 0 = -0*u + u + 2. Solve f*k + 9 = v, 2*o - 2*k = k + 3 for o. -3 Let v(g) = 9*g + 113. Let r be v(-12). Solve -r*x - 19 = a, -3 + 6 = 3*x - 3*a for x. -3 Let a = -406 - -409. Solve 4*c - 2*d - 12 = 0, c - d - a = -0*c for c. 3 Suppose -11*q + 193 + 93 = 0. Let w = q + -92. Let n = w + 66. Solve -c + 3*j = 2*j + 1, n = -5*c + 2*j - 14 for c. -4 Let n be (-2)/13 + (-8)/(-52). Suppose -2*v = -2*s + 8, -5*v + s + s - 5 = n. Let o be 2/(v + 9/(-15)). Solve 0 = 4*x + 2*k + 22, -o*x - k = -x + 17 for x. -3 Suppose -230*q = -234*q + 72. Solve 0 = 5*y - 0*a - 2*a + 24, 0 = -3*y + 3*a - q for y. -4 Suppose -33*o + 11718 = 30*o. Suppose 152 - o = -17*w. Solve -3*b + j = -2, b - w*b = -j for b. 1 Suppose -59*p = -24*p + 140. Let g = 48 - 22. Let w be (-10)/65 - p/g - -3. Solve 3*j + 0 = 5*f + 5, 31 = 5*j + w*f for j. 5 Let o = 1280 - 1268. Solve -v = 2*t - 13, -3*v - o*t = -11*t - 14 for v. 3 Suppose 166*c = 169*c - 216. Let a =
{ "pile_set_name": "DM Mathematics" }
What is the value of (-1270)/1397 + 9696/(-176)? -56 (1406/(-95) + 14)*(105/(-18))/1 14/3 Evaluate (2 - 105/20)/(-7 + (-16 - (-10931)/476)). 91 (192 + -184)/(((-36900)/435)/(-12) + -1 + -6) 116 (3 - 6)*(28/819)/(26/(-39)) 2/13 (399/(-285))/(24/(-600)) 35 Calculate (876/9)/(-4) + (71248/(-438))/244. -25 What is the value of ((-266)/12920)/(1302/(-1488))? 2/85 Calculate (-81*1)/(18969/12646). -54 Evaluate (-2786)/(-924) - 112/7392. 3 Evaluate (-1306)/(-1177) - 89/(-133322)*-28. 12/11 Evaluate ((-231)/(-4312))/((-15)/105). -3/8 What is 2 - (-5)/(-3) - (5 + 11/(-3)) - -10? 9 Calculate (-10266)/37170 + (-2)/(3 - 17). -2/15 Evaluate (-1)/(-6)*42 - (-9 - (-435)/30). 3/2 What is 6*-2 + 620/75 + (-200)/(-150)? -12/5 What is (-36)/(-120) - 150348/(-8040)? 19 Evaluate ((8742/155)/47)/((-57)/(-475)). 10 What is (1 - (-27)/(-21))/((-13330)/137795) + (-18)/6? -2/43 (-24806)/(-5966)*57/3 79 Calculate (12 - -12) + -19 + 1 - -17. 23 Evaluate 9 + 463/(-150) + 234/(-2925) + -1*3. 17/6 Calculate (72/1584*-33)/(1 - (-73)/(-76)). -38 ((93/(-18))/(28/(-56)))/((-868)/(-84) - 10) 31 Calculate (14 - 77)/(-819) + 16/(-377). 1/29 What is the value of (-62 - 2)/(-4 - (2 - 5))? 64 Evaluate (2 + 1712/(-760))/((-10)/8*512/(-1600)). -12/19 1 + (-35)/15 + (-43248)/(-33048) -2/81 6/((102/(-14) + 7)*(-189)/(-324)) -36 Calculate (8/(96/(-20)))/((-1594)/114 + (-112 - -126)). -95 Evaluate 10 + 1612/(-208)*4. -21 Calculate 60/(-1050) + 4896/(-70). -70 (47851/(-31610) + (-36)/(-2610))*(-4)/(-87) -2/29 Calculate (23080 - 23118)*(-97)/38. 97 Calculate -8 + -40 - -17*1540/(-1309). -68 Calculate 3 - 2740/(-1644)*(-13)/5 - 61/(-3). 19 What is (-29876)/(-462) + (-61 - -3)? 20/3 Evaluate -14*649/16520*-20. 11 (-1 - -4)/((-222807)/936 - -238) -72 What is ((-10131)/5219 + 1/(-17))*(-13 + 14)? -2 What is ((-51)/(2091/(-410)) - (1 + -86 - 1)) + 0? 96 ((-1)/7 - (-2600)/(-1400))*(-3 - 15/(-10)) 3 What is -17 + 178733/2454 - 1/(-6)? 56 What is the value of (-46358)/3566 - (-3 + 3 - 41/3)? 2/3 What is -6825 + 6838 - (-2)/(-4)*(-1590)/(-65)? 10/13 200075/5300 - (217/140 + (-2)/(-10)) 36 Calculate 55 + 1/(-1) + (-203)/((-2842)/(-154)). 43 (-2805 - -2789)*(38/(-8) - 0) 76 Evaluate 7 + (39 - -3)*((-50)/48 - 897/(-2392)). -21 What is the value of 1 + 1 + (19 - (-120)/(-10))? 9 What is the value of 26*(1852808/(-15314) + 121)? 6/19 Evaluate (-5)/((-50)/24) + 88076/(-4540). -17 Calculate (-17 - 186/(-10))/((-126)/140 - -1). 16 Evaluate (-4 + 5 - (-83)/(-87))/(682/(-2046)). -4/29 What is (7*9 - (512 + 18)/53)/1? 53 What is (-217)/(-806)*360/140? 9/13 ((-21)/30)/(22 + 4607/(-204)) 6/5 Calculate 1/(33/(-22) + 70/28). 1 (-18705)/1770 + 11 - (-15)/(-2 - 28) -4/59 Calculate (((-4)/(-10))/((-32)/920))/(13/26). -23 What is -106*((-98475)/2650 - -37)? 17 Calculate (272 - (58 + 192)) + 52*1. 74 What is the value of ((-4)/126)/((-66 - 87)/(-1071))? -2/9 Evaluate -378 + 374 + (-36)/45 + (-892)/(-140). 11/7 What is the value of (10/(-4))/((-18030)/(-346176))? -48 What is 1/(-3)*7 - -47*30/45? 29 Calculate (17/40)/((-370)/(-14800)). 17 101/(12726/(-2688)) + 25 11/3 What is 12960/(-640) - ((-66)/3 + -3)? 19/4 What is the value of (-6)/42 - (15066/(-2170) + 6)? 4/5 What is the value of (-15)/39 + 1199/(-77935)? -2/5 Calculate (-1826524)/(-46844) - 136/(-16252). 39 Evaluate (16/(-36))/(8/12). -2/3 ((-21)/(-133))/((-215)/(-28595)) 21 Evaluate ((-3 - 96/(-8)) + (-1794)/91)/(18/(-21)). 25/2 (-734022)/(-21600) + 22/275 + (-2)/32 34 Calculate (216/64 - (-42)/(-112)) + (2 - 6). -1 What is ((-3623)/10869 - 10/(-6))*2/260? 2/195 (-1333)/2666 + (42/(-15))/(-2) 9/10 Evaluate -34 + -2 + -146 + 1001600/5504. -1/43 Evaluate (144/225)/4 - 1230408/13800. -89 What is the value of (-34)/48 - (-48650)/83400? -1/8 (-7)/133 + (-187902)/(-12483) 15 Evaluate 7 + (-318)/(-30)*(-12)/18. -1/15 Evaluate 75/(-200)*(-40)/(-9)*-33. 55 Evaluate 1250/(-1750) - ((-2)/14)/(2*(-5)/2610). -38 What is (-854)/5124 - ((-2)/18)/((-2)/843)? -47 What is (2781 + -2709)/(8/(-6))? -54 Evaluate -29 + -29 + 54 + (-13)/(-2). 5/2 What is the value of ((-12)/90)/((-86 + 44)/9450)? 30 What is (408/204)/(1 + 162/(-171))? 38 (-42 - 22606/(-534)) + (-214)/3 -71 Calculate 5*(26/(-78) - 10/(-400)*8). -2/3 ((-23)/27 + 1)*(-21123)/(-32858) - 356/3297 -2/157 What is (-2)/(4/(2 + -22)) + (214 - 246)? -22 What is 22/(0 + 2)*169152/58146? 32 Calculate 106/212 - ((-6)/68)/(54/(-360)). -3/34 (-816)/476 - (-66839)/(-623) -109 (-224667)/(-12717) - (-1 + 11/3) 15 Evaluate (-140)/(-63) + (-46)/207. 2 What is the value of 6/(-495) + 101797683/(-1434015)? -71 Calculate (174/(-783))/((-340)/(-612) - (-4)/6). -2/11 1/(21/(-546)) - 24/2 -38 Evaluate 33/(-3) - ((6 + -1)/15 + 230/(-6)). 27 What is (-180)/225*(180/(-528) + 0)? 3/11 What is (-3815)/63 - (-672)/432 - -13? -46 (-15950)/200 - 17 - -93 -15/4 Evaluate 162/189 - ((-2000)/630 - -4). 2/63 What is the value of (-32)/1840 + (-286297)/(-678040) + 6/(-16)? 2/67 1 - (242/44 + -4)*(5 + 966/(-18)) 74 What is the value of ((-49149760)/(-502656) - (-8)/42) + 8/272? 98 What is (50/(-30))/(52/(-624))*20/(-8)? -50 What is the value of 80 + (121/(-22) - 39/(-13))*6? 65 What is (-19909)/(-215) + -136 + 40? -17/5 Evaluate (585/(-30) - -20)/((-234)/(-60) - 4). -5 What is the value of (232/464)/(((-39)/(-52))/((-6)/(-46)))? 2/23 What is ((-42)/7)/((-8)/(-14) + 18000/(-26600))? 57 (6908/176 + -37)/(5/(-40)) -18 What is the value of (-42)/27 + (-86 - 6984/(-324))? -66 Evaluate 22/8*2610/(-60)*(-9 - (-4395)/495). 29/2 What is the value of (-968)/(-69) + 172/(-5934) - -66? 80 What is the value of ((-29)/145*410)/(-2 + 4)? -41 What is -2*(-3 - (1 - -5 - 10))*(-888)/48? 37 (((-156)/344)/(-13))/(81/18 - 3) 1/43 What is ((-17)/102 - (-7473)/3150) + -8*2/(-200)? 16/7 What is 218/6 + (501 - 536)? 4/3 (-272)/(-80) - (2 + 20 - 19) 2/5 What is (-3)/(-2)*(-12)/51*(-36 + 37)? -6/17 What is the value of (7/2695*-10)/((5 - 2)/((-56)/(-8)))? -2/33 Evaluate ((-80)/(-36))/((-6)/(-51)) - 9 - 11 - 2. -28/9 What is the value of (462/(-561))/(0 + 7)? -2/17 What is the value of 1424/3204*60/(-650)*5/4? -2/39 (22 - (612/(-204))/(8/(-62))) + 231/60 13/5 Calculate (-1448)/(-26) - -4*(22 - 11115/507). 56 What is (-3)/4 - ((-13735)/246 + 15)*18/20? 36 (3850/42*(-15)/85 - -16)*(0 - -6) -18/17 What is ((2622/6)/(-23) - -21) + -11? -9 What is 13 - 2 - (1424/15 - (-68)/1020)? -84 ((-3)/14)/(52800/(-84700)) + 2/(-8) 3/32 (-786 + 777)*2/(28/1) -9/14 Calculate (2/4)/(189/4284*255/45). 2 What is ((-594)/(-44))/(-27)*52? -26 6 - 17 - 608/10*68/(-272) 21/5 Evaluate 230/(-310)*248/(-5704). 1/31 Evaluate -93697*(-107)/82818 - 121. 1/18 What is the value of (-8 + 192/15 + 20/(-25))/((-2)/24)? -48 Calculate (95/(3420/(-216)))/((4/6)/(-2)). 18 (-3582)/270 + 76/285 + (202/12 - 3) 5/6 Evaluate ((2/(-12))/(507/(-338))*-6)/(32/912). -19 Calculate -5 - 0 - (-8 + (4/18)/((-28)/(-1512))). -9 Calculate (-1 + (-2561)/(-26))*(2/(-20))/(735/(-1225)). 65/4 6/120*(-21 - (-3066)/210) -8/25 Calculate (-3)/(630/(-2800))*-3. -40 Evaluate (-2)/(2*-1*-7*17/2023). -17 (114 - 112)/((-8)/36)*-1 9 Calculate 70/56*36/810*498. 83/3 Evaluate (-9 - -42) + 38 - 45. 26 What is 3229/(-95) + 3882/(-368790)? -34 Evaluate 8720 + -8671 - (-1915)/(-39). -4/39 Calculate ((-99)/6)/1*103/206. -33/4 ((-1)/(-4))/(-76 - (-10916)/144) -9/7 (-570)/(-120) + ((-972)/5346 - (-7958)/88) 95 What is the value of (700/(-1155))/(-10) - 132639/1287? -103 (-17368)/((-7280)/(-70)) + 133 -34 Evaluate ((1416/84 - 16)/(-1))/((-736)/(-56)). -3/46 Calculate (-6)/75*(-22440)/(-5984). -3/10 What is the value of (-805)/112 + 7 - 2*1055/(-160)? 13 Evaluate (77 - 18) + -69 + 2*161/21. 16/3 What is the value of (-4)/5*15 + 26 + -4 + 14? 24 What is 3590/2086 + 338964/(-197729)? 1/149 What is the value of -6*(-2)/(-15)*(-13525)/(-3246)? -10/3 (-1414)/(-4848) + ((-1197)/(-108) - 11) 3/8 What is the value of 6327/2997 - (-78)/27? 5 What is 11/10*39820/109505? 2/5 Evaluate (-18)/(-495)*181 - (-13)/((-1001)/14) - 4. 12/5 What is the value of 2332/44 + -53 - 2/4*(3 - 5)? 1 Calculate (2058/231 - 9)/((-112)/154). 1/8 Calculate (322/(21 - -2) - 2948/210)/((-4)/9). 3/35 (2*(-1)/(-14)*2)/(58 + (-16737)/294) 4/15 ((-264)/(19 - 11) - 4)*-2 74 Evaluate 4/(-5)*(-95900)/(-2570120). -2/67 What is 4 - (-1351)/(-282) - (-4 + (-399)/(-126))? 2/47 Calculate 75/30*1764/(-270) + 6
{ "pile_set_name": "DM Mathematics" }
t is the b'th term of -793, -802, -813, -826, -841, -858, -877? -b**2 - 6*b - 786 What is the a'th term of 1276, 2557, 3838, 5119, 6400? 1281*a - 5 What is the w'th term of -33, 48, 275, 720, 1455, 2552? 12*w**3 + w**2 - 6*w - 40 What is the o'th term of 16, 45, 90, 151? 8*o**2 + 5*o + 3 What is the j'th term of 11, 61, 139, 245? 14*j**2 + 8*j - 11 What is the h'th term of -7, -6, -13, -34, -75, -142, -241, -378? -h**3 + 2*h**2 + 2*h - 10 What is the c'th term of 22, 43, 78, 127? 7*c**2 + 15 What is the s'th term of 2952, 2948, 2940, 2928, 2912, 2892? -2*s**2 + 2*s + 2952 What is the v'th term of 4464, 4465, 4466, 4467? v + 4463 What is the d'th term of 51, 285, 683, 1251, 1995, 2921, 4035, 5343? d**3 + 76*d**2 - d - 25 What is the v'th term of 22, 68, 144, 250, 386, 552, 748? 15*v**2 + v + 6 What is the w'th term of -715, -708, -701, -694, -687? 7*w - 722 What is the m'th term of -85, -79, -63, -31, 23? m**3 - m**2 + 2*m - 87 What is the f'th term of -129, -252, -371, -486, -597? 2*f**2 - 129*f - 2 What is the v'th term of -76, -98, -120? -22*v - 54 What is the j'th term of -89, -180, -275, -374? -2*j**2 - 85*j - 2 What is the z'th term of -1, -31, -91, -187, -325, -511, -751? -z**3 - 9*z**2 + 4*z + 5 What is the y'th term of 184, 370, 554, 736? -y**2 + 189*y - 4 What is the w'th term of 193, 348, 607, 970, 1437, 2008, 2683? 52*w**2 - w + 142 What is the a'th term of -1, -13, -33, -61? -4*a**2 + 3 What is the r'th term of 109, 106, 103, 100? -3*r + 112 What is the x'th term of -162, -161, -160, -159? x - 163 What is the z'th term of 50, 78, 106, 134, 162? 28*z + 22 What is the l'th term of -55, -66, -71, -64, -39, 10? l**3 - 3*l**2 - 9*l - 44 What is the y'th term of 35, 37, 39, 41, 43? 2*y + 33 What is the j'th term of 2, 8, 14? 6*j - 4 What is the g'th term of 12, 75, 186, 345, 552? 24*g**2 - 9*g - 3 What is the q'th term of -1076, -1074, -1072? 2*q - 1078 What is the a'th term of 21, 108, 263, 492, 801, 1196? a**3 + 28*a**2 - 4*a - 4 What is the x'th term of -282, -278, -268, -246, -206? x**3 - 3*x**2 + 6*x - 286 What is the u'th term of 2102, 2103, 2104, 2105? u + 2101 What is the l'th term of 122, 440, 956, 1658, 2534, 3572? -2*l**3 + 111*l**2 - l + 14 What is the u'th term of -1218, -1219, -1220, -1221? -u - 1217 What is the h'th term of 1586, 1578, 1564, 1544? -3*h**2 + h + 1588 What is the f'th term of 297, 589, 881, 1173? 292*f + 5 What is the l'th term of 95, 156, 241, 362, 531, 760? 2*l**3 + 47*l + 46 What is the g'th term of -55, -41, -27, -13, 1? 14*g - 69 What is the w'th term of -2646, -5288, -7930, -10572, -13214? -2642*w - 4 What is the t'th term of -28, -299, -1036, -2473, -4844? -39*t**3 + t**2 - t + 11 What is the l'th term of 53, 99, 145, 191? 46*l + 7 What is the o'th term of 152, 148, 144, 140, 136, 132? -4*o + 156 What is the g'th term of -59, -127, -215, -329, -475? -g**3 - 4*g**2 - 49*g - 5 What is the d'th term of -107, -114, -135, -176, -243, -342, -479, -660? -d**3 - d**2 + 3*d - 108 What is the z'th term of 200, 218, 270, 374, 548, 810, 1178? 3*z**3 - z**2 + 198 What is the n'th term of -5, -62, -169, -326? -25*n**2 + 18*n + 2 What is the o'th term of -2241, -2240, -2239, -2238, -2237, -2236? o - 2242 What is the q'th term of -7, -84, -293, -700, -1371, -2372? -11*q**3 + 4 What is the i'th term of 9170, 9169, 9168, 9167, 9166? -i + 9171 What is the r'th term of 5, 45, 119, 233, 393, 605, 875, 1209? r**3 + 11*r**2 - 7 What is the q'th term of -606, -1210, -1814, -2418, -3022, -3626? -604*q - 2 What is the n'th term of 15, 12, 3, -12? -3*n**2 + 6*n + 12 What is the u'th term of 108, 97, 72, 27, -44, -147? -u**3 - u**2 - u + 111 What is the s'th term of 14, -13, -70, -169, -322, -541? -2*s**3 - 3*s**2 - 4*s + 23 What is the s'th term of 281, 564, 849, 1136, 1425? s**2 + 280*s What is the v'th term of 27, 26, 27, 30, 35? v**2 - 4*v + 30 What is the f'th term of 84063, 84064, 84065, 84066, 84067? f + 84062 What is the j'th term of -62, -107, -174, -257, -350? j**3 - 17*j**2 - j - 45 What is the o'th term of 27, 60, 103, 162, 243, 352, 495? o**3 - o**2 + 29*o - 2 What is the m'th term of -1365, -1363, -1359, -1353, -1345? m**2 - m - 1365 What is the o'th term of -24, -28, -34, -42, -52, -64? -o**2 - o - 22 What is the p'th term of -1, 10, 17, 20, 19? -2*p**2 + 17*p - 16 What is the p'th term of 157, 355, 555, 757, 961? p**2 + 195*p - 39 What is the o'th term of -25, 4, 33? 29*o - 54 What is the z'th term of 48, 35, 22, 9? -13*z + 61 What is the j'th term of -93, -95, -113, -153, -221, -323? -j**3 - 2*j**2 + 11*j - 101 What is the j'th term of 10, 24, 44, 70, 102, 140? 3*j**2 + 5*j + 2 What is the i'th term of -325, -1330, -2997, -5320, -8293, -11910, -16165, -21052? i**3 - 337*i**2 - i + 12 What is the g'th term of 39, -15, -69, -123, -177, -231? -54*g + 93 What is the p'th term of 175, 176, 179, 184, 191, 200? p**2 - 2*p + 176 What is the d'th term of -263, -536, -811, -1088, -1367? -d**2 - 270*d + 8 What is the s'th term of 1, 114, 303, 568? 38*s**2 - s - 36 What is the i'th term of -20, -71, -156, -275, -428? -17*i**2 - 3 What is the i'th term of -1974, -3954, -5936, -7920, -9906? -i**2 - 1977*i + 4 What is the a'th term of 130, 138, 160, 202, 270, 370, 508, 690? a**3 + a**2 - 2*a + 130 What is the k'th term of -481, -947, -1411, -1873? k**2 - 469*k - 13 What is the v'th term of 3679, 3676, 3673? -3*v + 3682 What is the i'th term of 78, 160, 242? 82*i - 4 What is the d'th term of -174, -186, -206, -234? -4*d**2 - 170 What is the v'th term of 5, 14, 37, 80, 149, 250? v**3 + v**2 - v + 4 What is the h'th term of -18, -50, -110, -204, -338, -518, -750? -h**3 - 8*h**2 - h - 8 What is the g'th term of -115, -106, -95, -82, -67? g**2 + 6*g - 122 What is the a'th term of 12, 29, 48, 69, 92? a**2 + 14*a - 3 What is the t'th term of -4433, -4432, -4431, -4430, -4429? t - 4434 What is the g'th term of 143, 568, 1277, 2270, 3547? 142*g**2 - g + 2 What is the l'th term of -176, -214, -278, -374, -508? -l**3 - 7*l**2 - 10*l - 158 What is the c'th term of -23, 12, 79, 184, 333, 532? c**3 + 10*c**2 - 2*c - 32 What is the q'th term of 11, 23, 57, 125, 239? 2*q**3 - q**2 + q + 9 What is the w'th term of 469, 926, 1377, 1822, 2261? -3*w**2 + 466*w + 6 What is the l'th term of 755, 759, 763, 767? 4*l + 751 What is the f'th term of 6, -24, -54, -84? -30*f + 36 What is the d'th term of -101, -93, -81, -65? 2*d**2 + 2*d - 105 What is the a'th term of -712, -712, -714, -718, -724, -732, -742? -a**2 + 3*a - 714 What is the j'th term of -14, -61, -144, -263, -418, -609? -18*j**2 + 7*j - 3 What is the y'th term of -109, -145, -181, -217, -253, -289? -36*y - 73 What is the r'th term of 13, 20, 21, 16, 5, -12? -3*r**2 + 16*r What is the c'th term of 3, 3, -5, -27, -69, -137, -237? -c**3 + 2*c**2 + c + 1 What is the t'th term of -37, -57, -69, -73, -69? 4*t**2 - 32*t - 9 What is the z'th term of -69, -84, -123, -198, -321, -504, -759? -2*z**3 - z - 66 What is the h'th term of 290, 284, 274, 260? -2*h**2 + 292 What is the i'th term of -110, -94, -68, -32, 14, 70, 136? 5*i**2 + i - 116 What is the s'th term of 2813, 2815, 2817, 2819, 2821? 2*s + 2811 What is the c'th term of -114, -115, -126, -153, -202? -c**3 + c**2 + 3*c - 117 What is the a'th term of -469, -920, -1335, -1696, -1985, -2184? 3*a**3 - 472*a What is the o'th term of -80, -75, -70? 5*o - 85 What is the b'th term of -39, -44, -55, -72, -95, -124? -3*b**2 + 4*b - 40 What is the l'th term of 954, 952, 950? -2*l + 956 What is the u'th term of 14, 4, -10, -28? -2*u**2 - 4*u + 20 What is the k'th term of -547, -1070, -1583, -2080, -2555, -3002, -3415, -3788? k**3 - k**2 - 527*k - 20 What is the y'th term of 7, 3, 1, 1, 3, 7, 13? y**2 - 7*y + 13 What is the t'th term of 83, 266, 559, 968, 1499, 2158? t**3 + 49*t**2 + 29*t + 4 What is the d'th term of 485, 969, 1453? 484*d + 1 What is the k'th term of 1, 24, 63, 118, 189? 8*k**2 - k - 6 What is the p'th term of -6, -16, -36, -72, -130, -216, -336? -p**3 + p**2 - 6*p What is the j'th term of -1081, -4319, -9717, -17275, -26993? -1080*j**2 + 2*j - 3 What is the c'th term of 105, 254, 461, 732, 1073? c**3 + 23*c**2 + 73*c + 8 What is the r'th term of 187, 172, 155, 136, 115, 92, 67? -r**2 - 12*r + 200 What is the k'th term of 560, 559, 5
{ "pile_set_name": "DM Mathematics" }
3788586, 7577167, 11365748, 15154329? 18942910 What is the next term in 16361, 32734, 49141, 65594, 82105, 98686? 115349 What comes next: -11263, -11619, -12073, -12625? -13275 What is the next term in 59996359, 59996361, 59996363? 59996365 What is the next term in -6047, -41995, -139575, -329603, -642895? -1110267 What comes next: -570, -498, -402, -270, -90, 150, 462, 858? 1350 What is next in 2533, 5098, 7693, 10318, 12973, 15658? 18373 What comes next: -775, -4708, -15303, -35884, -69775, -120300? -190783 What is the next term in 35714612, 71429231, 107143848, 142858463, 178573076? 214287687 What is the next term in 3707301, 7414634, 11121967, 14829300, 18536633, 22243966? 25951299 What comes next: 692839, 2771410, 6235697, 11085700, 17321419, 24942854, 33950005? 44342872 What comes next: 255705, 511398, 767077, 1022742, 1278393, 1534030? 1789653 What is the next term in -164925, -164329, -163337, -161949, -160165, -157985? -155409 What is the next term in 70456, 281753, 633914, 1126939, 1760828? 2535581 What is the next term in 14966397, 29932791, 44899185, 59865579, 74831973, 89798367? 104764761 What is next in -12453, -24972, -37399, -49686, -61785, -73648? -85227 What is next in 3494163, 3494167, 3494171, 3494175, 3494179, 3494183? 3494187 What is the next term in -3221304, -6442597, -9663888, -12885177, -16106464, -19327749? -22549032 What is the next term in 62018621, 62018619, 62018617, 62018615, 62018613, 62018611? 62018609 What comes next: 829390, 829182, 828836, 828352, 827730, 826970? 826072 What comes next: -559927, -559958, -560011, -560086? -560183 What is next in 24417328, 48834618, 73251908? 97669198 What comes next: 7043, 56934, 192563, 456866, 892779? 1543238 What is the next term in 3034, 12122, 27230, 48328, 75386, 108374, 147262? 192020 What is the next term in 38975, 155948, 350899, 623822, 974711, 1403560, 1910363, 2495114? 3157807 What is next in 101609, 202969, 304329? 405689 What is the next term in 1351, 2434, 3491, 4522, 5527, 6506? 7459 What is the next term in 41953982, 83907965, 125861948, 167815931, 209769914, 251723897? 293677880 What is next in -569801, -2279215, -5128257, -9116939, -14245273, -20513271? -27920945 What comes next: -16472, -12416, -8382, -4382, -428? 3468 What comes next: 4964, 7130, 9296, 11462? 13628 What is the next term in 91202, 182234, 273266, 364298, 455330, 546362? 637394 What is the next term in -67487, -268948, -604717, -1074794, -1679179, -2417872? -3290873 What comes next: -1804562, -3609117, -5413672, -7218227? -9022782 What is the next term in 2594, 2829, 3462, 4691, 6714, 9729, 13934? 19527 What is the next term in -315, -513, 143, 2403, 7017? 14735 What comes next: -4557942, -9115898, -13673854, -18231810, -22789766, -27347722? -31905678 What is next in -4297713, -8595427, -12893141? -17190855 What comes next: -947, -1484, -2025, -2570, -3119, -3672? -4229 What comes next: -154633, -161422, -168201, -174964, -181705, -188418, -195097? -201736 What is next in 885747, 1771407, 2657067, 3542727? 4428387 What comes next: -104898, -212780, -320662, -428544, -536426, -644308? -752190 What comes next: 5641, 23056, 52093, 92758, 145057? 208996 What is the next term in -216158, -432330, -648508, -864692, -1080882, -1297078? -1513280 What is the next term in -25249030, -25249039, -25249058, -25249093, -25249150, -25249235, -25249354, -25249513? -25249718 What is next in -2132443, -8529768, -19191975, -34119064, -53311035? -76767888 What is the next term in 590, 746, 950, 1202? 1502 What comes next: 8148, 32261, 72448, 128709, 201044, 289453, 393936? 514493 What is the next term in -111241, -111208, -111161, -111094, -111001, -110876? -110713 What is the next term in 701750, 2806984, 6315712, 11227934, 17543650, 25262860, 34385564? 44911762 What is the next term in -1301768272, -2603536543, -3905304814, -5207073085, -6508841356? -7810609627 What is next in -4632, -9511, -14358, -19167, -23932, -28647, -33306? -37903 What is the next term in -4161, -9797, -16895, -25449, -35453? -46901 What is next in -1313, -1167, -795, -89, 1059, 2757, 5113? 8235 What is the next term in 162569, 162221, 161873, 161525, 161177? 160829 What is the next term in 3990, 16196, 36600, 65202, 102002, 147000, 200196? 261590 What is next in -377958, -378110, -378262, -378414? -378566 What is next in -32768, -131100, -294966, -524348, -819228, -1179588? -1605410 What comes next: -362339, -362203, -362047, -361865, -361651, -361399, -361103, -360757? -360355 What is next in 282470, 564944, 847418, 1129892, 1412366, 1694840? 1977314 What is next in -22888, -90925, -204150, -362425, -565612? -813573 What is next in 119239, 119319, 119401, 119485, 119571, 119659, 119749? 119841 What is the next term in -24865, -99457, -223779, -397831, -621613? -895125 What comes next: -712842, -1425660, -2138478, -2851296, -3564114, -4276932? -4989750 What is next in -2758, -3941, -5124, -6307, -7490? -8673 What is next in -1019, 7686, 16391, 25096, 33801? 42506 What is next in -29816785, -29816781, -29816777, -29816773, -29816769? -29816765 What is next in 6018792, 6018789, 6018786? 6018783 What is the next term in 26, -356, -714, -1036, -1310? -1524 What is next in -141083845, -282167692, -423251539, -564335386, -705419233? -846503080 What is next in 4095, 7288, 10495, 13722, 16975, 20260? 23583 What is next in 84272, 336780, 757630, 1346828, 2104380? 3030292 What is the next term in -6277, -25327, -57141, -101719? -159061 What comes next: 9105580, 9105582, 9105584? 9105586 What comes next: -12564129, -25128271, -37692413, -50256555, -62820697? -75384839 What is the next term in -1144, -4630, -10450, -18604, -29092, -41914, -57070? -74560 What comes next: -7197, -28431, -63697, -112989, -176301, -253627, -344961? -450297 What is next in -589, -3588, -10993, -24772, -46893? -79324 What is next in 28187, 112872, 254057, 451742? 705927 What is the next term in 17704280, 17704285, 17704290, 17704295, 17704300, 17704305? 17704310 What is the next term in 467211, 467145, 467033, 466875, 466671, 466421, 466125? 465783 What is the next term in -5917927, -11835859, -17753791, -23671723? -29589655 What is next in 71225724, 71225705, 71225674, 71225631, 71225576, 71225509? 71225430 What is the next term in 16881, 25421, 33971, 42531, 51101? 59681 What is the next term in 56418, 225643, 507648, 902409, 1409902, 2030103, 2762988? 3608533 What is next in 2353720, 4707445, 7061170, 9414895, 11768620, 14122345? 16476070 What comes next: 26056, 52100, 78128, 104140, 130136? 156116 What is the next term in -46542, -92991, -139440, -185889? -232338 What comes next: 12696, 11185, 8646, 5061, 412? -5319 What is the next term in -198224, -792884, -1783982, -3171518, -4955492, -7135904? -9712754 What is the next term in -168224, -168165, -168106, -168047, -167988, -167929? -167870 What is next in 649374, 651863, 654352, 656841, 659330, 661819? 664308 What is next in 597382, 1194704, 1792026, 2389348, 2986670? 3583992 What is next in 2026751, 4053399, 6080047, 8106695, 10133343? 12159991 What comes next: -61427, -58849, -54553, -48539? -40807 What is next in 307328, 1229267, 2765812, 4916963, 7682720? 11063083 What comes next: -33315768, -33315771, -33315774, -33315777? -33315780 What comes next: 4076, 4665, 5512, 6617, 7980? 9601 What is next in 3630, 35356, 88234, 162264, 257446? 373780 What is the next term in 14844, 14771, 14658, 14511, 14336, 14139, 13926? 13703 What is the next term in 17731, 70844, 159427, 283486, 443027? 638056 What is next in -9949, -19820, -29613, -39328, -48965, -58524, -68005? -77408 What is next in 93775550, 187551100, 281326650, 375102200, 468877750, 562653300? 656428850 What comes next: -10903, -9985, -8453, -6307? -3547 What comes next: 11100, 22750, 34400, 46050? 57700 What is next in 19399745, 38799488, 58199231, 77598974, 96998717? 116398460 What is the next term in -15922230, -31844460, -47766690, -63688920? -79611150 What comes next: 19748, 20408, 20994, 21470, 21800? 21948 What is the next term in 328660228, 328660229, 328660230, 328660231? 328660232 What is the next term in -5207, -5229, -5253, -5279, -5307? -5337 What comes next: -1157, -896, -481, 88, 811? 1688 What comes next: 23465759, 93863013, 21119177
{ "pile_set_name": "DM Mathematics" }
.162366 + v. What is o rounded to 3 dps? -0.001 Let t = -246 + 305. Suppose 69*m = t*m - 63500. What is m rounded to the nearest 1000? -6000 Let x = -11043 - -11037.97. Round x to the nearest integer. -5 Suppose 9*g - 29 + 344 = 0. Let i = g + 25. Let r be (-830004)/i - 2/5. What is r rounded to the nearest 10000? 80000 Let y = 1.704 + -2.0996. Let t = 0.08 - 0.48. Let i = y - t. What is i rounded to three decimal places? 0.004 Let q = 594 - 588.86. Let l = 5.141471 - q. What is l rounded to 4 dps? 0.0015 Let u = -714.40036 - -714.4. Round u to one decimal place. 0 Let z = 5261 + -5260.86062. What is z rounded to 3 decimal places? 0.139 Let f = -212.04 - -208. Let s = 10884 + -10879.9274. Let j = s + f. Round j to 3 decimal places. 0.033 Let l = 147 + -155.3. Let q = -114690255 - -114690263.3000199. Let g = q + l. What is g rounded to six dps? 0.00002 Let r = 547 - -158. Let j = r + -704.457. What is j rounded to two decimal places? 0.54 Let n = 32573 + -32572.99890575. Round n to four dps. 0.0011 Let f = -0.80518 + -4.98052. What is f rounded to 1 decimal place? -5.8 Let u = -0.07552936 - -780.08876936. Let k = -780 + u. Round k to 4 decimal places. 0.0132 Suppose -1743207946 = -16*t - 45*t - 34959537946. What is t rounded to the nearest one million? -545000000 Let h = 64 + -63.846. Let s = h - 10.634. What is s rounded to one decimal place? -10.5 Suppose 94*h + 1307747 = 150*h + 152355. Round h to the nearest one hundred. 20600 Let v = -503.994556 + 504. What is v rounded to four decimal places? 0.0054 Let a(c) = -403*c**2 + 3*c + 12. Let r be a(6). Let h = r + 24590. Let x = 21312 - h. Round x to the nearest one thousand. 11000 Let y = 472.1 + -483.039. Let u = y - -11. Round u to two dps. 0.06 Let j = -20.8 - 66.2. Let c = j - -77.78. Let f = 11.1 + c. Round f to 1 decimal place. 1.9 Let f = 202 - 205.22. Let y = f + 3.2119. Round y to 2 dps. -0.01 Suppose 5*p = -0*p + 4*z + 341280, 3*p = -2*z + 204746. Suppose -9328 = -4*t - p. Let k = -51731 - t. What is k rounded to the nearest one thousand? -37000 Let i = 196086.4799975 + -196087. Let d = 2.2 + -1.68. Let v = i + d. What is v rounded to six dps? -0.000003 Let t = 21540 - 21473.838. Round t to the nearest integer. 66 Suppose -3*a = -2*p + 7, 2 = -2*a - 0. Suppose -7*i + 143592 = p*g - 9*i, 0 = 3*g + 2*i - 215408. What is g rounded to the nearest ten thousand? 70000 Let m = 95 - 62. Let j = m + 77. Let o = j - 109.999788. Round o to five dps. 0.00021 Let h = 543 + -396. Let m = -147.0000447 + h. What is m rounded to six dps? -0.000045 Let l = 274 - 211. Let y be 9/(l/(-1750))*-908. Round y to the nearest 10000. 230000 Let g = -1016.72 - -1041. Let b = -26.7 + g. Let m = -4.49 - b. What is m rounded to 1 dp? -2.1 Let w = 3.236 - 354.936. Let g = -297 - w. Round g to the nearest 10. 50 Let c = 439.8903 - -0.1097. Let w = c + -441.64. What is w rounded to zero dps? -2 Let a = 8075.8 - 6240. What is a rounded to the nearest ten? 1840 Let a(w) = -w**2 + 11*w - 37. Let t be a(16). Let r = t + 729. What is r rounded to the nearest 10? 610 Let d = -0.066108 - -165.198108. What is d rounded to the nearest ten? 170 Let o be (5 + 92/(-20))/(3/15). Suppose o*s = 2*i + 2560004, 5120002 = 4*s + 2*i - 3*i. Round s to the nearest one hundred thousand. 1300000 Let r be 1 + -3 + 11 + -6. Suppose -o - r = t, -o + 3*o + 12 = -4*t. Suppose o = -5*x, -u + 0*x + 2*x + 10300 = 0. Round u to the nearest 1000. 10000 Let c = -102.31217 + 0.09217. Let k = -205.21 - c. Let l = -103 - k. Round l to 1 decimal place. 0 Let i = 23606.31 + -23488. Let f = i + -120. What is f rounded to the nearest integer? -2 Let c = 14450 - 14449.9997221. What is c rounded to five dps? 0.00028 Let k = 204 - 222. Let s = -17.9985 - k. Round s to 4 decimal places. 0.0015 Let g = -296 - -284. Let t be 15*2*182*(-20)/g. What is t rounded to the nearest 1000? 9000 Let u = 354 + -342. Let c = 13.35 - u. What is c rounded to one dp? 1.4 Suppose f - 1 = -f - g, -8 = 2*f + 4*g. Suppose -5*r + f*y = -5199 - 1511, 4*y + 20 = 0. What is r rounded to the nearest one thousand? 1000 Let v(x) = -246*x**2 + 91*x + 489. Let l be v(-5). What is l rounded to the nearest one thousand? -6000 Suppose 38*s - 113*s - 35280000 = 0. Round s to the nearest 100000. -500000 Let t = 1296759.367 - 1295745. Let j = 1074.62 - t. Let z = j - 60. What is z rounded to two decimal places? 0.25 Let c = 14.89918 + -14.9. Let v = 0 - c. Round v to 4 decimal places. 0.0008 Let y = -10353808 + 10346941.019. Let s = y + 6871. Let f = 4.1 - s. Round f to 2 decimal places. 0.08 Let j(s) = -111*s - 21. Let l(g) = -112*g - 22. Let c be 24/4 - 2 - 1. Let t(u) = c*j(u) - 2*l(u). Let m be t(-11). Round m to the nearest 100. 1200 Let b = -28039 - -59043. What is b rounded to the nearest one hundred? 31000 Let u be 2360478/(45/39 + -1). Suppose -35776893 = -12*v + u. What is v rounded to the nearest one hundred thousand? 4300000 Let m be (-68)/(-16)*(-13 + 17). Suppose -m*s + 338193 = -447207. What is s rounded to the nearest one thousand? 46000 Let b = -614.7012816 - -614.7. Round b to four dps. -0.0013 Let h = 1264 + -1263.999999307. What is h rounded to 7 decimal places? 0.0000007 Let c = 0.0283 + -325.0283. Let a = c - -170. Let g = a - -155.000069. Round g to five dps. 0.00007 Let g = -4585.207644 + 0.007644. What is g rounded to the nearest 1000? -5000 Let u = 52.5 - 100. Let c = u - -23. What is c rounded to the nearest integer? -25 Suppose 6405733116 = 80*g - 984746884. Round g to the nearest 1000000. 92000000 Let s = -154 - -100. Let q = -30 - s. Let h = q - 24.000085. What is h rounded to 5 decimal places? -0.00009 Let m = 33367.3 - 36035. Round m to the nearest 10. -2670 Let d = -381 + 254. Suppose -5*o = 7*n - 3*n - 1429, 2*n + 586 = 2*o. Let m = o + d. What is m rounded to the nearest 10? 160 Let y = -409.4 + 409.682. Round y to one decimal place. 0.3 Let g = 28.566 + -0.58. Let u = g - 28. Let s = u + 0.01399953. What is s rounded to seven dps? -0.0000005 Suppose -12 = 2*b, -9*h + 2*b - 101988 = -13*h. What is h rounded to the nearest 10000? 30000 Let c = 0 + -0.2. Let i = c - -0.45. Let w = i - 0.249931. Round w to 5 decimal places. 0.00007 Let m = -7887.7 + 7885. Let h = -1.881088 - 0.818764. Let r = m - h. Round r to four decimal places. -0.0001 Let j = -182 + 180.872. Let q = j + 1.0193. Round q to two dps. -0.11 Let y = -29.5984 + 2.7964. What is y rounded to the nearest integer? -27 Let i = 30427.9947246 - 30428. Round i to four dps. -0.0053 Let m be 451519794/24 - 15/(-12). Let c = -7556674 - m. What is c rounded to the nearest one million? -26000000 Let r = -1382577127 - -1382577125.542001374. Let n = 1.458 + r. Round n to 7 dps. 0.0000014 Let d be 16/(-60)*3*5. Let g be 49276/(-14) - d/(-14). Round g to the nearest 100. -3500 Let x(i) = 50994022*i - 22. Let f be x(1). Suppose 605*h = 614*h + f. What is h rounded to the nearest 100000? -5700000 Let d(u) = -5375*u**3 - 6*u**2 - 9*u + 8. Let n be d(7). Let t = n + 2687974. Round t to the nearest one hundred thousand. 800000 Let o = -9.11 + 840.11. Let y = o + -830.9513. Round y to two decimal places. 0.05 Let f = 3490.9202 - -1.3798. Round f to the nearest 100. 3500 Let g(b) = -6*b + 12. Let q be g(2). Let j be (-26960000 + (q - 0))*(-475)/190. Round j to the nearest 1000000. 67000000 Let a = -3.36556 + -0.07074. What is a rounded to two dps? -3.44 Let u = 0.00731 + 2051.99269. Let y = -2052.000001851 + u. Round y to 7 dps. -0.0000019 Let u = 3446.8 + -1736.1. What is u rounded to the nearest 1000? 2000 Let s = 91.72 - 91.720021151. Round s to seven dps. -0.0000212 Let b = 3153431.19014 + -3153370. Let p = b + -61.2. What is p rounded to three dps? -0.01 Let q = -20520.24575 + 20520. Round q to 3 decimal places. -0.246 Let k = -1505 - -1500.178. Let h = -0.072 - k. Let g = h + -4.393. Round g to 2 decimal places. 0.36 Let t = 262862.8035 + -262845.30350467. Let f = -17.5 + t. What is f rounded to 6 dps? -0.000005 Let j = -2631 - -2630.97004. What is j rounded to two dps? -0.03 Suppose 191*h + 220528000 = 235*h. Round h to the nearest 100000. 5000000 Let f(x) = 7 - 4*x + 39128*x**2 + x + 16585*x**2 - 5*x. Let y be -11 - 16/(-4)*1. Let k be f(y). What is k rounded to the nearest 1000000? 3000000 Let y(n) = -96630*n
{ "pile_set_name": "DM Mathematics" }
w. Let r = 14 + w. Is 5 a factor of r? True Suppose 0 = 4*g - 16 - 8. Suppose 0 = -g*z + 5*z + 39. Does 7 divide z? False Let b(t) = -105*t - 8. Let p be b(-2). Suppose 2*i - 1 - 7 = 0. Suppose 5*y - 257 = 2*w, 4*y - 2*w - p = -i*w. Does 17 divide y? True Let k = -27 + 31. Suppose -31 = -3*v + 5*d, k*v + d - 26 = -0*d. Does 7 divide v? True Let m(w) = w**2 + 9*w - 8. Let f be m(-10). Let u(t) = 0 - 5 - f - 2 - t**2 + 8*t. Is 2 a factor of u(5)? True Let d = -312 - -398. Is d a multiple of 3? False Suppose -r - 5*n + 23 = 0, r - 5*r - n + 35 = 0. Suppose -r*i = 316 - 2084. Is 13 a factor of i? True Let d(w) = 2*w**3 - 14*w**2 + 6*w + 9. Let u be d(9). Suppose -4*v - 4*y + u = 23, 4*v - 5*y - 364 = 0. Does 43 divide v? False Suppose -2*o - 3*o = -205. Let q = o + -34. Is q a multiple of 7? True Suppose 0 = -43*q - 40*q + 97027. Does 25 divide q? False Let m = -3 + 13. Suppose m*z - 1193 + 353 = 0. Is 28 a factor of z? True Let b = 559 - 208. Is 9 a factor of b? True Let x be ((-15)/4)/((-3)/(-8)). Suppose -3*j = 2*p - 69, -p - j + 22 = -2*j. Let w = p + x. Is 12 a factor of w? False Does 15 divide (5014/(-92))/((-2)/8)? False Does 65 divide (-10)/(-4)*(-14532)/(-105)? False Let z(v) = v**3 - 10*v**2 + v - 7. Let n be z(10). Suppose -n*f + 33 = -3. Is f a multiple of 3? True Let c = -356 + 248. Is 36 a factor of (c/5)/((-12)/80)? True Let s(y) be the second derivative of -y**3/3 - y**2/2 - 2*y. Suppose -14*b + 17*b = -27. Is 9 a factor of s(b)? False Let j(w) = 1594*w + 896. Is 139 a factor of j(3)? False Let u = -11 - -13. Suppose u*g = -g + 264. Is 44 a factor of g? True Let o be (4/(-28))/((-2)/7)*-6. Let h(v) = -v**3 + 3*v**2 - 4*v + 7. Let z(p) = -p**3 + 4*p**2 - 4*p + 8. Let m(q) = 6*h(q) - 5*z(q). Is 5 a factor of m(o)? False Suppose b - 30 = 4*q, 3*b + 4*q - 3 - 7 = 0. Let n = b + -16. Let y(s) = -3*s - 8. Is 9 a factor of y(n)? False Suppose -5*r + 142 = 4*m, -3*m - 43 = -4*r + 2*r. Does 7 divide r? False Let z be 1 - -1*(-10 - -1)/(-3). Does 9 divide (-502)/(-8) + (z - 1)/12? True Suppose -2*t + 80*o = 76*o - 116, -2*o - 182 = -3*t. Is 62 a factor of t? True Let n(u) be the second derivative of 0 + 1/3*u**3 - 4*u + u**2. Does 12 divide n(5)? True Suppose f + 0*f + 1 = -2*o, -7 = f + 4*o. Suppose -f*d = 2*b - 88, -3*d = -2*d - 5*b - 23. Is 3 a factor of d? True Let o = -1581 - -2797. Does 85 divide o? False Let i(l) = 22*l**2 + 6*l - 13. Is i(5) a multiple of 27? True Let n = -59 + 66. Suppose 0 = -n*b + 43 + 209. Is 16 a factor of b? False Let q(c) = 71 - 81 - 57 - 11*c. Does 16 divide q(-9)? True Suppose b + 4*b = -25, -4*o + b - 611 = 0. Let s = -91 - o. Suppose -2*c + s = c. Is 7 a factor of c? True Let u = -137 - -240. Is 39 a factor of u? False Suppose -41*m = -42*m - 5*u + 91, -5*u = -5*m + 305. Is m a multiple of 66? True Let z = 9 + -6. Let n be -31*(z + -1)/(-1). Suppose n - 26 = x. Does 11 divide x? False Let y(b) = b**3 + 15*b**2 + 50*b - 8. Let q be y(-7). Suppose 3*r + 3*a = 8*r + 77, r = -a - 9. Let n = q + r. Is 7 a factor of n? True Let f = 684 + -40. Does 12 divide f? False Let w be 17/5 - 12/30. Let q(g) = -5*g**w + 4*g**3 + 9*g**2 - 4*g + 7 - 10 - 5*g. Does 8 divide q(7)? True Does 10 divide (1/2)/(((-63)/1926)/(-7))? False Suppose 5*l - 849 - 421 = 0. Is 8 a factor of l? False Suppose -5*d - u - u + 867 = 0, -3*u + 863 = 5*d. Does 35 divide d? True Suppose 0 = -13*n + 15*n + 2. Does 4 divide 1/((-2)/(-14)) + 4 + n? False Let h(o) = -128*o + 82. Is h(-4) a multiple of 11? True Suppose 2*z + z - 3 = 0. Let u be -1*(-1 - (z - -1)). Suppose u = -5*g + 233. Is g a multiple of 18? False Let i be (-65)/(-39) - 2/(-6). Suppose 2*t = a - 32, 2*a = -i*a + 2*t + 104. Does 6 divide a? True Is 7 a factor of 305 + (138/(-115))/(4/10)? False Let l be (-6)/4 - 2/4. Let b(g) = -9*g**3 - 2*g**2 + 1. Let z be b(l). Suppose z = 3*r + 2*r. Is r a multiple of 3? False Suppose 5*g = 3*v - 105 + 676, 3*g + 2*v = 335. Let t = g - 71. Does 6 divide t? True Let f = 11 + 7. Suppose -5*s + 1632 = -3708. Does 19 divide s/f - 2/6? False Suppose 0 = -5*w - 3*i - i + 492, 2*w - 5*i = 177. Suppose 64 + 71 = 5*g - 2*n, 4*g - w = 4*n. Is g a multiple of 15? False Is 18 a factor of (-484 + -2)*(-8)/12? True Let s(d) = -d**3 + 2*d + 2. Let y be s(-2). Let l be 11/1 - 2 - 0. Is 13 a factor of 119/l + y/(-27)? True Let q = 15 + -12. Let k(t) = t**2 + t - 3. Let o be k(q). Is 11 a factor of 7/((-21)/o) + 25? True Let o(r) be the second derivative of -r**5/20 + 2*r**4/3 - r**3/2 - 4*r**2 - 8*r. Let j be o(4). Suppose x + x = j. Does 15 divide x? False Let y(m) = 18*m**2 + 6*m + 4. Does 4 divide y(-2)? True Suppose 2*m + 5*k - 210 = -m, -4*m - 4*k = -280. Does 19 divide 3970/m + -1 + 9/7? True Suppose 3*i = 5*s + 18, s = -0*i + 4*i - 24. Suppose -2*p - 3 = -4*t + 3, 3*t + 3*p + 18 = 0. Let w = i + t. Is w a multiple of 5? True Let a(k) = -1075*k - 8. Is a(-2) a multiple of 21? True Let a = 14 + 25. Suppose m - a = 4*m. Let s = 27 + m. Is s a multiple of 7? True Suppose 0 = 5*v + 3*z + 2, 2*v - 4*v - 4*z = 12. Suppose 14 = v*i - 0*i. Let o = i - -16. Is o a multiple of 7? False Let k(i) = -i**2 + 5*i. Let p be k(2). Is 26 a factor of 81 + p*(12/4)/6? False Suppose -19*a - 1764 = -26*a. Is 21 a factor of a? True Let o = 2705 - 1485. Does 44 divide o? False Let s be 442/119 + 2/7. Let i be (0 - 0)*(s - 3). Suppose i = -5*o - 2*h + 154, -2*o - 3*h = h - 68. Is 15 a factor of o? True Suppose 20 = 2*c + 3*c. Let h = -204 + 214. Let n = h - c. Is 2 a factor of n? True Let w(r) = 107*r - 11. Is 31 a factor of w(3)? True Suppose 4*d + 21 = 13. Let v(w) = -23*w**3 + 3*w**2 + 2*w + 3. Is v(d) a multiple of 13? True Is 18 a factor of 60432/168 + -3*(-6)/63? True Let j = 362 + 119. Is 22 a factor of j? False Let n = -8 + 13. Suppose -5*g = 15 + n. Let r = g + 18. Does 7 divide r? True Let p = -7 + 1. Is 12 a factor of 4/6 + (-1)/p*1436? True Let o(l) = -l + 24. Let c be o(20). Suppose c*m + 1173 = -6*r + r, -3*m = 2*r + 885. Is (-2)/8 + m/(-4) a multiple of 23? False Let v = 213 - 134. Suppose 5*z = -q + v, 3*q - 271 = -0*q + 2*z. Is q a multiple of 44? False Let g be (-24)/40 - 28/(-5). Suppose 0 = g*n - 2*n + 3*w - 87, 5*n - 143 = -3*w. Does 14 divide n? True Let l = -2 - -4. Suppose 91 = -l*o + 5*t, -o = -2*t - t + 47. Let x = o - -58. Is 5 a factor of x? True Does 10 divide (570 - -3)*-2*767/(-177)? False Suppose -a = -7*a + 13860. Is a a multiple of 42? True Let y(g) = -g**3 + 15*g**2 - 3*g + 21. Does 15 divide y(10)? False Let w(x) = -x**2 - 7*x - 4. Let n be w(-5). Suppose -n = -3*q - 3*v + 3, -3*v - 27 = -3*q. Is q a multiple of 3? True Let i be -3 + 3*(-21)/(-9). Let m be (-15)/6*i/(-5). Suppose 0 = m*n - 5*j - 16 - 8, 0 = -n + 5*j + 22. Is n even? True Is (385/44)/(2/(648/1)) a multiple of 45? True Let b(s) = 8*s + 48. Let g(l) = -3*l - 16. Let m(v) = 5*b(v) + 14*g(v). Is 6 a factor of m(5)? True Let l(k) = -37*k**3 + 4*k**2 + k + 8. Is 11 a factor of l(-3)? False Let n(u) = 2*u**3 + 34*u**2 - 16*u + 15. Does 10 divide n(7)? False Is 14 a factor of (53 - 139)/((4/11)/(-2))? False Suppose 2*f - 8 - 11 = -5*v, -3*f - v + 48 = 0. Suppose 25*y = f*y + 464. Does 10 divide y? False Let f(t) = 6*t**3 - 7*t**2 + 4*t + 4. Is f(3) a multiple of 71? False Does 67 divide (-3 - 13)/((-52)/4654)? False Let w(r) = -r**3 + r**2 + r + 25. Let g be w(0). Let n = g - 15. Is 6 a factor of n? False Let y(x) = 14*x + 67. Let v(i) = -12*i - 68. Let t(j) = -6*v(j) - 7*y(j). Is 47 a factor of t(-15)? True Suppose 8*b = 11 - 3. Suppose -5*o + 56 = -2*y, -5*o + 0*y + 4*y + 62 = 0. Let l = b + o. Is l a multiple of 11? True Is 5 a factor of 1393/28 + -5 - 2/(-8)? True Suppose -8 = 2*d - 18. Suppose 4*k + 6 = -3*x + 1, 5*x = -d*k - 5. Let m(c) = 69*c**2 - c. Is m(x) a multiple of 24? False Let s = -2102 + 2537. Does 145 divide s? True Let i(y) = 9*y**2 + 10*y + 1. Let o(k) = 1. Let f(a) = i(a) - o(a). Is f(-3) a multiple of 6? False Let z(h) = -h**2 + 5*h + 59. Let r be z(11). Let x(d) = -d**2 - d**3 + 0*d**3 - 5*d**2 + 8*d + 10. Is x(r) even? False Suppose n + 5*h + 10 = 0, -4*n - 6 - 53 = h. Let o be (6/n)/((-4)/80). Suppose -o*v = -10*v + 52. Is v a multiple of 18? False Suppose 3*q - 7*q = -k + 210, 5*k = 5*q + 1125. Does 10 divide k? True Suppose 16*g - 16831 = 2769. Is 25 a fact
{ "pile_set_name": "DM Mathematics" }
? 250 How many nanoseconds are there in twenty-five quarters of a microsecond? 6250 How many millennia are there in 62.81404 years? 0.06281404 What is 0.3574886 litres in millilitres? 357.4886 How many litres are there in 52.68878ml? 0.05268878 How many millimeters are there in 139.6037 meters? 139603.7 Convert 52973.41 micrograms to grams. 0.05297341 How many years are there in 1/5 of a decade? 2 What is 31/5 of a litre in millilitres? 6200 What is seven quarters of a gram in milligrams? 1750 What is 939.3211g in kilograms? 0.9393211 Convert 398.38851 microseconds to days. 0.000000004610978125 What is 965498.4 millennia in months? 11585980800 How many milligrams are there in 7/8 of a gram? 875 Convert 462.3118 millimeters to kilometers. 0.0004623118 What is 923.1207 millilitres in litres? 0.9231207 How many microseconds are there in 979602.1ns? 979.6021 What is 48/5 of a minute in seconds? 576 How many millilitres are there in twenty-one fifths of a litre? 4200 What is 721.5079 kilometers in centimeters? 72150790 Convert 269420.2l to millilitres. 269420200 What is ten thirds of a hour in seconds? 12000 What is 161571.144 hours in weeks? 961.733 Convert 1.763403 milligrams to tonnes. 0.000000001763403 How many minutes are there in 1/5 of a week? 2016 What is 582.6865ml in litres? 0.5826865 How many micrometers are there in one tenth of a centimeter? 1000 What is 3/40 of a millimeter in micrometers? 75 What is 49.30206 millennia in years? 49302.06 Convert 3.815809ns to seconds. 0.000000003815809 Convert 0.5381409 litres to millilitres. 538.1409 What is 0.3539152 years in centuries? 0.003539152 Convert 22849.83 kilograms to milligrams. 22849830000 How many hours are there in 5/8 of a week? 105 Convert 43.12577 hours to nanoseconds. 155252772000000 What is seven quarters of a litre in millilitres? 1750 How many micrograms are there in three fifths of a milligram? 600 What is 49/4 of a tonne in kilograms? 12250 Convert 1613.434um to meters. 0.001613434 How many millilitres are there in six fifths of a litre? 1200 What is twenty-one quarters of a litre in millilitres? 5250 What is 1/6 of a day in minutes? 240 How many days are there in 2.361879 nanoseconds? 0.0000000000000273365625 What is 37/2 of a kilometer in meters? 18500 What is 5.941375 centuries in decades? 59.41375 What is 31/5 of a decade in years? 62 What is 33.27373ml in litres? 0.03327373 How many millilitres are there in 53/4 of a litre? 13250 Convert 6.128514 years to decades. 0.6128514 What is thirteen eighths of a gram in milligrams? 1625 What is twenty-one quarters of a kilogram in grams? 5250 What is 22/15 of a hour in minutes? 88 What is 19753.287 minutes in hours? 329.22145 How many years are there in 18.628092 months? 1.552341 How many millilitres are there in 3/8 of a litre? 375 What is seven quarters of a hour in minutes? 105 Convert 2049.3 meters to centimeters. 204930 What is 6.896553ng in micrograms? 0.006896553 How many kilometers are there in 20.34797mm? 0.00002034797 What is 0.9708913cm in millimeters? 9.708913 How many months are there in 3/40 of a decade? 9 What is eighteen fifths of a kilogram in grams? 3600 How many centimeters are there in 25179.83 micrometers? 2.517983 What is 51/5 of a millimeter in micrometers? 10200 How many millilitres are there in 46/5 of a litre? 9200 What is 37/2 of a year in months? 222 What is three eighths of a litre in millilitres? 375 Convert 0.294262s to microseconds. 294262 How many minutes are there in 7/3 of a hour? 140 Convert 257.5555 hours to minutes. 15453.33 What is 17/10 of a hour in minutes? 102 Convert 5.699358nm to kilometers. 0.000000000005699358 Convert 0.7694327 litres to millilitres. 769.4327 What is seven eighths of a centimeter in micrometers? 8750 How many millimeters are there in 3/10 of a centimeter? 3 How many nanograms are there in eleven halves of a microgram? 5500 What is twenty-one eighths of a millennium in years? 2625 What is twenty-five eighths of a litre in millilitres? 3125 Convert 53.48871 years to months. 641.86452 How many micrometers are there in one quarter of a centimeter? 2500 How many millilitres are there in 51/4 of a litre? 12750 How many centimeters are there in 61/2 of a meter? 3050 What is 192.1492 hours in seconds? 691737.12 What is 3/8 of a microgram in nanograms? 375 How many minutes are there in eighteen sevenths of a week? 25920 How many seconds are there in 2/15 of a week? 80640 What is three eighths of a litre in millilitres? 375 What is 7/8 of a microgram in nanograms? 875 How many minutes are there in three eighths of a day? 540 How many weeks are there in 13699.3878 minutes? 1.35906625 How many millilitres are there in 12/25 of a litre? 480 Convert 0.5017947 centuries to years. 50.17947 How many millilitres are there in 1/4 of a litre? 250 What is 11/10 of a millisecond in microseconds? 1100 How many microseconds are there in 688.7753 hours? 2479591080000 How many micrograms are there in fourty-four fifths of a milligram? 8800 How many millilitres are there in 13/8 of a litre? 1625 Convert 9.52851m to nanometers. 9528510000 What is 45567.93 litres in millilitres? 45567930 Convert 0.1709659l to millilitres. 170.9659 What is 926.8919t in nanograms? 926891900000000000 How many tonnes are there in 68966.64ug? 0.00000006896664 What is 59.0279 grams in tonnes? 0.0000590279 What is 11/4 of a milligram in micrograms? 2750 Convert 988.8752ng to kilograms. 0.0000000009888752 How many micrograms are there in 6/5 of a milligram? 1200 Convert 310.5723 nanometers to micrometers. 0.3105723 How many milliseconds are there in 8450.735 days? 730143504000 Convert 0.51761nm to millimeters. 0.00000051761 How many seconds are there in 3/5 of a day? 51840 How many nanometers are there in 1/10 of a micrometer? 100 What is 76.74956 weeks in minutes? 773635.5648 How many nanometers are there in 9.127171mm? 9127171 Convert 8025.82t to nanograms. 8025820000000000000 How many micrometers are there in 29/5 of a millimeter? 5800 What is 861409.4 millennia in centuries? 8614094 What is 5.854022ml in litres? 0.005854022 How many milliseconds are there in 1/30 of a minute? 2000 What is 13/4 of a kilogram in grams? 3250 What is 12.1978584 hours in weeks? 0.0726063 What is three sixteenths of a hour in seconds? 675 Convert 37.7033895 minutes to weeks. 0.003740415625 Convert 651.6376 millennia to decades. 65163.76 How many millilitres are there in 6/25 of a litre? 240 How many millilitres are there in 6/25 of a litre? 240 Convert 936997.8ns to milliseconds. 0.9369978 How many meters are there in 87996.03 micrometers? 0.08799603 How many millilitres are there in 3/40 of a litre? 75 How many kilograms are there in fourty-seven quarters of a tonne? 11750 What is 244.57 micrometers in meters? 0.00024457 How many micrometers are there in 1/5 of a millimeter? 200 How many months are there in 96.00287 millennia? 1152034.44 How many centimeters are there in 85.28991 micrometers? 0.008528991 How many centuries are there in 1/5 of a millennium? 2 What is seventy-four fifths of a second in milliseconds? 14800 How many months are there in three tenths of a millennium? 3600 How many litres are there in 3.583557ml? 0.003583557 How many micrograms are there in 27.96427 kilograms? 27964270000 What is 37.31159 meters in micrometers? 37311590 What is 53644.28 decades in centuries? 5364.428 How many millilitres are there in 6/25 of a litre? 240 How many years are there in twenty-five eighths of a millennium? 3125 What is 13/8 of a minute in milliseconds? 97500 What is 635.0494 nanograms in milligrams? 0.0006350494 What is 1/4 of a millisecond in microseconds? 250 How many nanometers are there in 86.8694 meters? 86869400000 Convert 296.1334 hours to microseconds. 1066080240000 What is 0.2339106 minutes in milliseconds? 14034.636 How many milligrams are there in 388907.6 micrograms? 388.9076 How many hours are there in 1.5311691ns? 0.00000000000042532475 What is 3/25 of a millimeter in micrometers? 120 Convert 5492.578 weeks to minutes. 55365186.24 What is 5/8 of a second in milliseconds? 625 What is 1/6 of a decade in months? 20 What is two ninths of a hour in seconds? 800 What is 391579.2km in micrometers? 391579200000000 How many
{ "pile_set_name": "DM Mathematics" }
square root of 890141485 to the nearest integer? 29835 What is 187631542 to the power of 1/5, to the nearest integer? 45 What is 14438906 to the power of 1/6, to the nearest integer? 16 What is 2176005315 to the power of 1/3, to the nearest integer? 1296 What is 689048 to the power of 1/6, to the nearest integer? 9 What is the square root of 113962222 to the nearest integer? 10675 What is the third root of 354410415 to the nearest integer? 708 What is the cube root of 88181567 to the nearest integer? 445 What is the cube root of 217450104 to the nearest integer? 601 What is 2813384338 to the power of 1/7, to the nearest integer? 22 What is 66565137 to the power of 1/7, to the nearest integer? 13 What is the square root of 45045660 to the nearest integer? 6712 What is the third root of 5849514795 to the nearest integer? 1802 What is the tenth root of 2937024325 to the nearest integer? 9 What is the square root of 32692556 to the nearest integer? 5718 What is 419392995 to the power of 1/2, to the nearest integer? 20479 What is the cube root of 104241894 to the nearest integer? 471 What is the square root of 35214358 to the nearest integer? 5934 What is the third root of 53421029 to the nearest integer? 377 What is the square root of 187817185 to the nearest integer? 13705 What is 450658434 to the power of 1/9, to the nearest integer? 9 What is the cube root of 10769621 to the nearest integer? 221 What is the sixth root of 3552120307 to the nearest integer? 39 What is the square root of 2605972 to the nearest integer? 1614 What is 1399172280 to the power of 1/2, to the nearest integer? 37406 What is the square root of 253352043 to the nearest integer? 15917 What is the fifth root of 5642117938 to the nearest integer? 89 What is the seventh root of 1595605152 to the nearest integer? 21 What is the ninth root of 154283599 to the nearest integer? 8 What is the fourth root of 229569726 to the nearest integer? 123 What is the cube root of 1226100478 to the nearest integer? 1070 What is the square root of 2959829555 to the nearest integer? 54404 What is the third root of 4243580388 to the nearest integer? 1619 What is 7762157374 to the power of 1/6, to the nearest integer? 44 What is the square root of 57800983 to the nearest integer? 7603 What is the third root of 527533146 to the nearest integer? 808 What is 23020008 to the power of 1/8, to the nearest integer? 8 What is 164050379 to the power of 1/2, to the nearest integer? 12808 What is the fourth root of 2882475752 to the nearest integer? 232 What is the square root of 5538785796 to the nearest integer? 74423 What is the ninth root of 70168691 to the nearest integer? 7 What is the tenth root of 100191863 to the nearest integer? 6 What is 1106727135 to the power of 1/2, to the nearest integer? 33268 What is the square root of 2496545608 to the nearest integer? 49965 What is the third root of 39486066 to the nearest integer? 341 What is the square root of 262581850 to the nearest integer? 16204 What is 691779613 to the power of 1/10, to the nearest integer? 8 What is 68521580 to the power of 1/4, to the nearest integer? 91 What is 760143430 to the power of 1/7, to the nearest integer? 19 What is 56843837 to the power of 1/3, to the nearest integer? 384 What is the square root of 4039498924 to the nearest integer? 63557 What is the ninth root of 300107683 to the nearest integer? 9 What is the fifth root of 470542900 to the nearest integer? 54 What is the seventh root of 887166779 to the nearest integer? 19 What is 2657892594 to the power of 1/3, to the nearest integer? 1385 What is the third root of 8928840 to the nearest integer? 207 What is the third root of 302236520 to the nearest integer? 671 What is 5657562 to the power of 1/3, to the nearest integer? 178 What is the cube root of 56732557 to the nearest integer? 384 What is the square root of 670476984 to the nearest integer? 25894 What is the third root of 40470450 to the nearest integer? 343 What is 275106279 to the power of 1/8, to the nearest integer? 11 What is the square root of 3541188496 to the nearest integer? 59508 What is 2832326018 to the power of 1/3, to the nearest integer? 1415 What is 41082105 to the power of 1/4, to the nearest integer? 80 What is the square root of 263520539 to the nearest integer? 16233 What is 143519118 to the power of 1/6, to the nearest integer? 23 What is the seventh root of 1257910807 to the nearest integer? 20 What is the fourth root of 1726233320 to the nearest integer? 204 What is 101804506 to the power of 1/10, to the nearest integer? 6 What is 306426745 to the power of 1/7, to the nearest integer? 16 What is the tenth root of 141332778 to the nearest integer? 7 What is the third root of 82644302 to the nearest integer? 436 What is 46891022 to the power of 1/3, to the nearest integer? 361 What is 31399814 to the power of 1/3, to the nearest integer? 315 What is the third root of 84326009 to the nearest integer? 439 What is the square root of 1319205018 to the nearest integer? 36321 What is 2844824094 to the power of 1/3, to the nearest integer? 1417 What is 868047565 to the power of 1/3, to the nearest integer? 954 What is the tenth root of 595325757 to the nearest integer? 8 What is the square root of 325758188 to the nearest integer? 18049 What is the eighth root of 35504270 to the nearest integer? 9 What is 139252388 to the power of 1/2, to the nearest integer? 11801 What is the seventh root of 1884159458 to the nearest integer? 21 What is 1053984334 to the power of 1/7, to the nearest integer? 19 What is 757949891 to the power of 1/4, to the nearest integer? 166 What is 231659125 to the power of 1/3, to the nearest integer? 614 What is 1086064542 to the power of 1/7, to the nearest integer? 20 What is 6519035 to the power of 1/3, to the nearest integer? 187 What is 125903922 to the power of 1/5, to the nearest integer? 42 What is the sixth root of 6143124239 to the nearest integer? 43 What is 202340109 to the power of 1/9, to the nearest integer? 8 What is the third root of 12446407 to the nearest integer? 232 What is 8518758 to the power of 1/3, to the nearest integer? 204 What is the eighth root of 46757473 to the nearest integer? 9 What is the square root of 42175353 to the nearest integer? 6494 What is the cube root of 226630634 to the nearest integer? 610 What is the tenth root of 103683359 to the nearest integer? 6 What is 199602133 to the power of 1/6, to the nearest integer? 24 What is the seventh root of 39278636 to the nearest integer? 12 What is the third root of 2986349127 to the nearest integer? 1440 What is 35789722 to the power of 1/3, to the nearest integer? 330 What is 29820230 to the power of 1/7, to the nearest integer? 12 What is 45214097 to the power of 1/2, to the nearest integer? 6724 What is the third root of 1104710192 to the nearest integer? 1034 What is the sixth root of 354687741 to the nearest integer? 27 What is the fifth root of 217953372 to the nearest integer? 47 What is the ninth root of 19171552 to the nearest integer? 6 What is 27359688 to the power of 1/2, to the nearest integer? 5231 What is the third root of 413895844 to the nearest integer? 745 What is 2649061981 to the power of 1/4, to the nearest integer? 227 What is the fourth root of 1335350204 to the nearest integer? 191 What is the third root of 150551183 to the nearest integer? 532 What is the cube root of 1128013022 to the nearest integer? 1041 What is 45852120 to the power of 1/3, to the nearest integer? 358 What is 38020012 to the power of 1/3, to the nearest integer? 336 What is 22606287 to the power of 1/8, to the nearest integer? 8 What is 390948840 to the power of 1/7, to the nearest integer? 17 What is 2034302813 to the power of 1/2, to the nearest integer? 45103 What is 904291818 to the power of 1/3, to the nearest integer? 967 What is the third root of 7397485 to the nearest integer? 195 What is 2065587110 to the power of 1/3, to the nearest integer? 1274 What is 40338799 to the power of 1/2, to the nearest integer? 6351 What is the square root of 3445951320 to the nearest integer? 58702 What is 58427192 to the power of 1/5, to the nearest integer? 36 What is 138366960 to the power of
{ "pile_set_name": "DM Mathematics" }
h - 6*y - j, 2*h + 4*y = 32. Is 13 a factor of h? True Let g(u) = -5*u - 2. Let l be g(-4). Suppose -3*o = -t - o + l, o = 2*t - 30. Does 7 divide t? True Let g(w) = 416*w + 416. Does 52 divide g(4)? True Let v = 23 - 11. Does 36 divide 268/v*3 + 5? True Let q be (1 + 264/5)/(3/15). Suppose -2*r - 5*u + q = -72, 2*r - 4*u = 314. Is 49 a factor of r? False Let h = 27 + -21. Let j(z) = 7*z - 12. Is j(h) a multiple of 5? True Let o be 1/((-2)/(26*-1)). Let y be 18/117 + 2338/o. Is 13 a factor of (-3)/(y/64 + -3)? False Suppose 7*b - 2513 = 469. Suppose 75 = f + 2*r - 19, 0 = 4*f - 2*r - b. Is 26 a factor of f? True Let c(s) = -s**2 - 18*s + 10. Suppose -5*b = -b - 36. Suppose h = -0*h - b. Does 24 divide c(h)? False Suppose 7*l = -7 + 35. Is l/(-14) + (-4294)/(-133) a multiple of 16? True Let u = 486 + -336. Is u a multiple of 23? False Let y(k) = 6*k**2 + 48*k + 171. Is 44 a factor of y(-18)? False Let b = -71 + 80. Suppose -12*m + b*m + 315 = 0. Is 35 a factor of m? True Let b(y) = 40*y**2 - 7*y + 15 + 43*y**2 - 81*y**2. Is b(11) a multiple of 45? True Suppose 20 + 8 = 7*v. Suppose -11*a + 1589 = -v*a. Does 31 divide a? False Let y be (-6)/(-27) + 574/9. Suppose 3*w = -2*v - 60, 0 = -2*v - 5*w + w - y. Let z = v + 29. Is z even? False Let f(l) = l**3 - 12*l**2 + 3*l - 34. Let y be f(12). Suppose -364 = -y*k - 2*k. Is 13 a factor of k? True Let k(j) = -3*j + 1. Let d be k(4). Suppose -4 = -5*i - 104. Let v = d - i. Is v a multiple of 9? True Let l = 16 + -55. Is l/(-1)*1/1 a multiple of 7? False Let m be -75 + 84 + 8/(-1 - 1). Suppose 0 = -3*g - 3*x + 288, 0*g - m*x - 72 = -g. Does 11 divide g? False Suppose 3*z - 760 = -220. Is z a multiple of 12? True Let y = 6 + 3. Let o = y + 5. Does 5 divide o? False Suppose 10*u - 8*u = 8. Suppose -2*r + 5 = -4*v - 15, -u*v + 4 = 0. Does 3 divide r? True Let d(j) = -j**3 + 19*j**2 + j - 21. Let i be d(19). Is 4 a factor of 1/(68/(-36) - i)? False Let k(n) = 18*n - 2 - 18*n + 37*n**2. Is k(-1) a multiple of 35? True Let r(m) = -4*m + 82. Let z(k) = -5*k + 81. Let x be 10/(-8)*(4 + 0). Let d(g) = x*z(g) + 6*r(g). Is 29 a factor of d(0)? True Let n = -43 - -25. Let s = n - -9. Does 16 divide (-430)/s + (-4)/(-18)? True Let o(g) = 2*g + 9. Let y be o(-10). Let h = 56 - y. Does 8 divide h? False Let r(z) be the third derivative of -1/8*z**4 + 0 + 0*z - 3*z**2 - 3/2*z**3. Is 6 a factor of r(-6)? False Is 29 a factor of 838 + 10/10 - -2? True Let b = 47 - 24. Suppose -d + 0 + b = 0. Is 6 a factor of d? False Let t be ((-6)/5)/((-4)/280). Let a = t - 57. Let y = a + 1. Does 14 divide y? True Let s(a) = a**3 + 2*a**2 - 4*a. Let c be s(-3). Suppose -c*v + 4 = -4*r - 15, -v - 3*r + 15 = 0. Is 11 a factor of (0 - 12/v)*-12? False Let d = -257 - -460. Is 29 a factor of d? True Let m(q) = -21*q + 21. Let i(z) = -7*z + 7. Let o(g) = -7*i(g) + 2*m(g). Is o(6) a multiple of 8? False Is 10/(-20)*(15280/(-5))/4 a multiple of 23? False Let o(p) = -p**3 + p**2 + p + 379. Let t be o(0). Suppose m = 4*x - t, -4*m = x + 11 - 127. Is 47 a factor of x? False Suppose 3*i = 4*j - 50, -2*j = -5*i + 26 - 44. Is 7 a factor of j? True Suppose 2*a + 2*a - 22 = 3*v, -6 = -4*a - 5*v. Let w(m) = 3*m**3 - 3*m + 6. Let t be w(a). Let d = t + -105. Is d a multiple of 18? False Let w = -149 + 374. Let l = w + -128. Suppose 3*j = 5*o + l, 5*j - 3*o + o = 130. Does 12 divide j? True Let z(c) = c**2 - 6*c - 14. Let j be z(8). Suppose -m = -3*h + 176 + 110, j*h - 3*m = 200. Let q = h - 55. Is q a multiple of 13? True Let s = 638 - -167. Is s a multiple of 14? False Let x be 0 + -3 - (54 - 12). Let u = -22 - x. Does 3 divide u? False Let k(a) be the first derivative of a**2/2 + 15*a - 13. Does 5 divide k(-7)? False Suppose -5*t - 593 = -158. Let u = -27 - t. Is u a multiple of 15? True Suppose -126*p + 137426 = -502780. Is 15 a factor of p? False Suppose 2*k + z - 12 = 0, 5*z = -2*k + 4*k + 12. Suppose 2*c + 26 = k*c. Suppose 22 + c = r. Is 7 a factor of r? True Let y = -2 - 3. Let w = y + 7. Suppose 2*u - 121 = h - 28, 5*u + w*h - 210 = 0. Is u a multiple of 22? True Let v(p) = p**3 - 3*p**2 - p - 3. Let k be v(3). Is (-2 + 0)/(k/87) a multiple of 19? False Suppose -2*q - 3 = 3*r, -2*r = -2*q + 4 - 2. Let a be ((-1)/(-2))/(r/(-578)). Suppose 0 = -3*l + 2*w + a, 392 = 6*l - 2*l - 4*w. Is 31 a factor of l? True Let h = -2 + 8. Suppose -102 = -8*i + h*i. Is i a multiple of 12? False Suppose 0 = g - 3*z - 3223, -65*g + 3*z + 16103 = -60*g. Does 10 divide g? True Let f(u) = -u**2 + 4. Let o be f(0). Let g be ((-30)/(-20))/((-2)/o). Is g/(-9) - 32/(-3) a multiple of 9? False Does 37 divide (-3)/(-5) + 321293/395? True Suppose 5*d = 3*i - 12, -4*d + 4 = 3*i - 2*i. Suppose d*q - 2*q = -54. Is 13 a factor of 2 - (3 - (q - 2))? False Let g(t) = 4*t**2 + 21*t + 1. Let n be g(-9). Suppose -3*p + 18 = 45. Is 14 a factor of (p/(-3))/(12/n)? False Is 17/(-153) - (-29704)/36 a multiple of 75? True Suppose 0 = 6*v - 7*v. Is 3 a factor of (v + -1)*(-8 - 3)? False Suppose -778 = -6*p + 926. Is p a multiple of 8? False Suppose 3*x + 2*x = 35. Let f be x/42 + 2/(-12). Suppose f = 5*h - 9 - 221. Is 23 a factor of h? True Let q(o) = o - 7. Let a be q(7). Suppose a = -4*j + 3*z + 19, -13 = -4*j + 2*z + 5. Is -12 - -62 - (j + -1) a multiple of 21? False Suppose 4*d + 8 = 0, d + 6756 = 5*v - 2*d. Suppose a = -8*a + v. Does 10 divide a? True Suppose -7*l + 8*l + 1 = 0, -4*d = 4*l + 40. Let o(t) = t**3 + 8*t**2 - 16*t - 14. Does 7 divide o(d)? True Let w = 581 - 331. Suppose 5*h - w = 2*u, -h + 5*u - 167 = -5*h. Is h a multiple of 4? True Let f(o) be the second derivative of -o**3/3 + 6*o. Let q be f(-4). Is 14 a factor of (-180)/q*(-8)/6? False Let a(r) be the third derivative of r**5/60 - 5*r**4/24 + r**3 - 2*r**2. Let p(k) = k + 9. Let w be p(-14). Does 31 divide a(w)? False Let n = 1311 - 423. Does 12 divide n? True Suppose 30*s - 36807 = 14673. Does 33 divide s? True Let a = 23 + -32. Let g = -3 - a. Is g*(3 - (-15)/(-9)) a multiple of 8? True Let k(n) = -n - 28. Let c be k(-13). Let y = -5 - c. Is 4 a factor of y? False Let b(n) = 25*n + 8. Let g(r) = -3*r - 9. Let k be g(-4). Is b(k) a multiple of 32? False Suppose -2*c - 30 + 100 = 0. Let i = 57 - c. Is i a multiple of 16? False Suppose 0*n = n + 3*r + 15, 5*n - 15 = 3*r. Suppose -3*q + 92 + 34 = n. Is q a multiple of 6? True Let k(p) = p - 5. Let n be k(8). Suppose -3*g = -n*v + 9, -v - v + 1 = 3*g. Suppose v*y - 5*y + 78 = 0. Does 8 divide y? False Let j be 2/5*(-33 + 38). Suppose -h + 11 = 5*z - 28, -j*h + 2*z = -54. Is h a multiple of 7? False Let z be ((-37)/2)/((-16)/288). Suppose -z = -3*x - 0*a + 3*a, 0 = 3*x + a - 349. Does 27 divide x? False Let d be ((-632)/(-6))/((-17)/(-153)). Suppose -3*o + d = 5*r, -r = -0*r + 3*o - 192. Is 27 a factor of r? True Suppose -5*n = 1905 - 9645. Is 34 a factor of n? False Let j(h) = 2*h**2 - 5*h + 6. Suppose v - 4*b = -2*v + 25, 0 = b + 1. Let o be j(v). Let y = o - 12. Does 19 divide y? True Let s(n) = 6*n**3 - n**2 + n - 1. Let k be s(1). Suppose k*t + 6*g - 3*g = 0, -5*t - 5*g = 0. Does 10 divide (-252)/70*(-10 + t)? False Suppose -1 + 5 = h. Suppose 0*o - 4 = h*o. Let y = o + 25. Is y a multiple of 10? False Let n(x) = x**3 + 21*x**2 - 23*x - 51. Let i be n(-21). Suppose -i = 4*t - 8*t. Does 12 divide t? True Let w(d) = d**2 - 8*d - 3. Let p be w(11). Let i be 1/6 + (-185)/p. Let s(r) = -r**2 - 8*r + 3. Does 5 divide s(i)? True Suppose -20 - 20 = 4*z. Let f = z + 13. Suppose 0*m + 37 = 2*t - m, f*m - 79 = -4*t. Does 19 divide t? True Let y(v) = 4*v**3 + 39*v**2 - 3*v + 18. Does 14 divide y(-9)? False Let r = -8 + 11. Suppose -r*p = p - 28. Does 7 divide (8 - p) + (-12)/(-2)? True Let c be ((-2)/5)/((115/50)/(-23)). Let u(w) = -2*w. Let l be u(-2). Suppose 3*n = -l*v + 112, v - 2*v + c*n + 47 = 0. Does 14 divide v? False Let x(n) be the first derivative of -n**3/3 - 11*n**2/2 - 8*n + 2. Is 2 a factor of x(-10)? True Let t(l) = -l**2 + 11*l + 4. Let u be t(11). Suppose 180 + 200 = u*f. Is 13 a factor of f? False Suppose 5*z = 3*q + 13, 3*z - 2*q - 11 = 3*q. Let f = 0 - -4. Suppose -2*m = z*a - 100, -f = 3*m + 11. Does 19 divide a? False Suppose -26*s + 10868 = -832. Is s a multiple of 30? True Let y be (-2)/(-3) - 42/(-18). Suppose y*j = 5*t - 22, 4 - 2 = -t - j. Suppo
{ "pile_set_name": "DM Mathematics" }
/12 - -4. Solve -16 = -2*l - 2*h, 3*l + h - u*h - 4 = 0 for l. 4 Suppose 8*k + 2*k = 50. Solve -2*z = y + 2*y + 4, -k*y = 3*z + 5 for z. -5 Suppose 4*s + 9*v - 32 = 10*v, 2*v = 5*s - 37. Solve 3*m + d = -s, 5*d = -3*m - 4 + 7 for m. -4 Let b(u) = 2*u**2 - 8*u + 4. Let l be b(3). Let n be (-12)/8 - 35/l. Solve h - z + 12 = -4*z, 2*h - n = 2*z for h. 3 Let a = -50 - -88. Suppose 3*k + a = 5*k. Solve -3*q = -8*q + 4*o - 35, -k = 3*q - 2*o for q. -3 Suppose -5*m = -5*u - 30, -5*u = 10 - 0. Solve -3*k + 6 = -5*p + 2*p, -4*p = -m for k. 3 Suppose u = -p + 6, -9*u = -5*u - 3*p - 3. Suppose 1 = 3*l - 5. Suppose l*h = 3*g - 1, 3*h - 5*h = g - 11. Solve 5*x = g*o, -u*x - 3*o = -8*o for x. 0 Let z(f) = -6*f - 125. Let j be z(-21). Let a(x) = 9*x**3 + 2*x - 1. Let b be a(1). Suppose -r + b = r. Solve j = 4*t + 5*o, 2*t + t - 2*o = -r for t. -1 Let f = 7 + -13. Let g = f - -9. Suppose -y + 0 = -g. Solve -y*h + c - 3 = 3, -5*h = c + 10 for h. -2 Let k = -2137 - -2140. Solve k*m = -2*z + 1, -m + 9 - 20 = -5*z for z. 2 Let i be ((-24)/(-3))/((-4)/(-4)). Suppose p = 5*f - i*f + 140, 5*f - 235 = -2*p. Let z be (-9)/(f/10) + 6. Solve -3*x + 0*x = -k - 18, -z*k = 5*x - 13 for k. -3 Let w = 657 - 655. Solve w*f - 3*f = 2*t - 6, 2*t = 4*f - 4 for t. 2 Let l(j) = -6*j**2 - 3*j. Let o be l(-2). Let y = o + 22. Let c be 2 + 2*(0 - 1). Solve -2*d = -5*h - c*d - 9, 4*h + 4*d = y for h. -1 Suppose -2*o = -38 - 2. Let l = -10 + o. Let y be 2/6*(l + -1). Solve 6 + 15 = -4*s - 3*q, 3*q = 2*s - y for s. -3 Suppose 7*y - 2*y - 2*w = 494, -2*w = 4. Suppose -103*k + y*k + 115 = 0. Solve q - 3*q - 6 = -3*h, 2*h = -5*q + k for h. 4 Let n be (-7)/((-42)/(-18)) + 7. Solve 0 = -3*v - 2*p - 3, 3*v + 15 = 2*v + n*p for v. -3 Let p(a) = 14*a + 185. Let h be p(-11). Solve -5*s = -3*c + h, -3*s + 12*c = 15*c + 9 for s. -5 Suppose 1743 + 801 = 2*j. Let n be j/42 - 2/7. Solve 5*g + n = -r, g + 2*r = -g - 20 for g. -5 Let d be (25/(-1))/(-1) + 99 + -103. Solve -6*g = h - 9*g - 7, -4*g - d = h for h. -5 Suppose c = 4*r + 2, r - 6*r = -5*c + 10. Solve r*h - h = 3*s - 2, 3*s = 2*h - 4 for h. 2 Suppose 273 = 26*x - 143. Solve -x = 5*d - d - 4*y, -y = 5*d + 14 for d. -3 Let y(g) = -7 - 3*g + 0*g + 2 + 4*g. Let p be y(-5). Let f be 4/((-8)/p)*1. Solve -3*x = 3*s + s - 18, -f*s = -2*x - 11 for x. 2 Let b(s) = s - 1. Let v(r) = -r**3 - 13*r**2 - 6*r - 20. Let i(a) = 4*b(a) + v(a). Let c be i(-13). Solve 5*f + 5*q = 0, 2*f = -q + 1 + c for f. 3 Let j(c) = -14*c - 193. Let k be j(-14). Solve 3*o = -3*f - 2*o - 37, k*f - o + 7 = 0 for f. -4 Let h(a) = -a**2 - 30*a - 28. Let u be h(-28). Solve -2 = -2*b - 4*q - 8, -5*b = -3*q + u for b. -5 Let w be 2/(-4) + 87/6. Let f be (-1)/(2/(-32)) + (-16)/4. Suppose -s - f = -w. Solve s*b + i + 4 = 0, 2 = -3*b + 2*b + 5*i for b. -2 Let f be 2/4*(1 - (-1 - 2)). Suppose -4*t + 5*i + 92 = -50, i = f*t - 68. Solve -4*u + 21 = -v, -5*v - t = -2*u - 0*v for u. 4 Suppose 28*u - 31*u + 34 = -2*n, 35 = 3*u - n. Solve 4*h - 5*j = 3*h + u, -2*h + 5*j + 14 = 0 for h. 2 Suppose -2*n + 3*n = 9. Let o = 11 - n. Suppose 0 = -2*h + o*j, 4*h + 6*j - 3*j - 14 = 0. Solve 4*l - 16 = -2*u, -5*l + 5*u = -3 - h for l. 3 Suppose 5*m - 26 = -a, 0 = -a + 5*m - 2*m + 26. Solve -2*u - 4*j - a = 0, 2*u - 5*j = 4*u + 30 for u. -5 Let i(r) = r**3 - 11*r**2 - 24*r - 21. Let s be i(13). Solve -2*p = 3*k - 13, -3*p + s*k - k = -11 for p. 5 Let n(d) = 7*d - 40. Let k be n(6). Solve -5 = -i - 5*o, 5*i - k*o + o = -1 for i. 0 Let z be 208/6 + 64/(-24). Solve 2*m + 5*l - 1 = z, 15 = 5*m - l for m. 4 Let o be (-12)/4 - -5 - -2. Solve -j = -0*j - 2*g, o*j + 5*g = -26 for j. -4 Suppose 3*n - 9*n = -108. Solve 5*p + n = 2*s + p, 5*s = -5*p + 15 for s. 5 Suppose 3*k - 20 = -65. Let m be (-68)/(-6)*k/(-10). Suppose -f + 0*f + m = 4*x, 0 = -5*x + 15. Solve -23 = -5*u - 4*h, -5 = -f*u + 7*h - 2*h for u. 3 Let o(p) = 2*p + 18. Let n be (2 + -20)*2/4. Let c be o(n). Solve s - 2*d + 10 = c, -5*s + 3*d + d = 26 for s. -2 Let a = 11 + -31. Let f = a - -23. Solve 2*c - 4*l = 10, -f*l = -4*c + 2*l + 17 for c. 3 Let m be -8 - -7 - (1 - 31)/(-2). Let a = m - -18. Solve 0*i - 2*i = a*y + 2, 0 = y + 5*i + 21 for y. 4 Suppose -5*w + 110 = -70. Let o = w + -32. Solve 4*j = 3*h - 5, -o*h - 39 = 3*j - 4 for j. -5 Let w(n) = -139*n - 831. Let o be w(-6). Solve -3 = -j, -3*t + o*j - 6 + 3 = 0 for t. 2 Let u = -53 + 55. Solve p + 2*p + y = 14, 0 = y - u for p. 4 Let o be (2 - -3)*(6/(-2))/(-3). Solve 0 = -5*v - 3*z - 9, -o*z = 15 for v. 0 Let l = 78 - 65. Let i be 8 - l - (-6 + 1). Solve -4*h + h + 13 = 4*b, i = -4*b + 4*h + 20 for b. 4 Suppose -3*s - 12*c + 5 = -13*c, -3*s - 3 = 3*c. Suppose h - t + 2 = -1, 5*t - 11 = 4*h. Let z = s - h. Solve 4*w - x - 12 = 0, z*x - 8 - 7 = -5*w for w. 3 Suppose -3*f + 4 + 2 = 0. Suppose 4*r - r - 15 = -2*a, -f*a - 2*r = -10. Let s(j) = j + 9. Let h be s(-7). Solve a*t - h*t + 3*c + 5 = 0, 2*t = -4*c - 2 for t. 1 Suppose 3*h + 3*i - 18 = 0, h = -2*h - 2*i + 18. Let u(m) = m**3 - 6*m**2 + m - 3. Let d be u(h). Solve 0 = -d*z + x + 3*x + 6, -4*z + 8 = -3*x for z. 2 Suppose -120 = -242*d + 236*d. Solve -5 = 5*n - d, -5*q - 10 = 5*n for q. -5 Let m(a) be the second derivative of -a**3 - 5*a**2 + 14*a. Let p be m(-2). Suppose -k + 4*h - 2 = 4*k, -k + 17 = 5*h. Solve -p*x + 6 = -2, -4 = -k*f + x for f. 4 Suppose 4*l = -33 + 113. Solve 11 = 2*q - r, 2*q - l = 4*r - 0*r for q. 4 Let m(f) = -12*f**2 - 3*f + 4. Let s be m(3). Let r = s + 121. Solve -w - 5*q = -13, 2*w + 4*q - r = 3*q for w. 3 Let d be ((-72)/45)/(4/(-10)). Suppose -2*p + d*p - 8 = 0. Solve u = -4*j + 13, -3*u - 22 = -p*j - u for j. 4 Suppose 0*p - 70 = -5*p. Solve -25 = -5*x, -3 = -4*f - x + p for f. 3 Let l = -6 - -9. Let x = -4671 + 4671. Let n = 1 - 1. Solve -d + 1 = x, -l*k - 4*d + d + 6 = n for k. 1 Suppose l + 2*b + 6 - 13 = 0, -2*l + 30 = -4*b. Suppose -2*w = -5*x - 29, -2*w + x + l = w. Solve k + 27 = -5*a, -4*a - w*k = -5*k + 14 for a. -5 Let i(h) = -2*h - 11. Let u be i(-6). Let l be (-1)/(u*(-2)/6). Solve -t - l = 4*k + 4, -3*k + 4*t - 10 = 0 for k. -2 Suppose 4*q - 13 = -5. Let o be ((9 - 13) + 23/5)*5. Solve -o*f + 10 = -2*f + q*c, 0 = -f + 4*c - 8 for f. 4 Suppose 2*v - 13 = 3*t, -3*v = -4*v + 2*t + 8. Solve n + 14 = 5*w, -v*w + 1 = -0*n - 5*n for n. 1 Let q = -253 + 256. Solve -4*y - q = 4*j - 3*j, 0 = -3*j - 2*y + 11 for j. 5 Suppose 7*y - 49 = -0*y. Suppose y*w = w. Solve w = 2*z + 4*u - 22, 7*u - 18 = 2*z + 3*u for z. 1 Suppose 4*n - 5*d - 13 = 0, 3*d - 5 = -3*n + 2*d. Let q be -3*(5 + -1)/24*0. Solve q = 4*a - 2*c - 10, n*a - 6*c = -c + 1 for a. 3 Let i = -18 + 28. Let u = i - 8. Suppose -w - u*w + 6 = 0. Solve w*x = -2*c - 12, 4*x = c - x for c. -5 Suppose -v + 5*t + 121 = 99, 0 = -v + 3*t + 14. Solve -2*c - v*u = -7*u - 5, 0 = 5*c - u - 24 for c. 5 Let t be 5*3/6*2. Let w(b) = 2*b**2 - 3*b + 3. Let h be w(2). Solve 3*p + p + 18 = h*d, t*p = -5*d for d. 2 Let t be (-12)/(-9) + 8/3. Solve 8 = t*u - h, -7 = -5*u - 5*h + 3 for u. 2 Let s(g) = -g**3 - 78*g**2 - 80*g - 231. Let c be s(-77). Solve -3*m - 3 = 2*l + 17, m + 4 = c for l. -4 Let i(v) = -2*v - 9. Let k be i(-5). Let r(h) = -h**2 + 3*h - 2. Let s be r(k). Solve 2*z = -4*x - 4, s + 13 = 4*z + x for z. 4 Suppose -4*w - 5*f = -42, 2*w = -3*w + 5*f + 75. Solve n - 5*u = 25, -n + w = -4*u - 8 for n. 5 Let r = -215 - -319. Let t = -98 + r. Solve 3*m - t = 2*g, 0*g = 2*g - 5*m + 6 for g. -3 Let z(w) = w**3 + 7*w**2 + 19*w + 85. Let q be z(-6). Solve 3*c - 3*s = c - q, s = -1 for c. -5 Suppose 13*l - 18*l - z + 27 = 0, -5*l = -5*z - 15. Solve 0 = -a - 3, -l*a + 5 = 5*g - 0 for g. 4 Suppose r - 4 = 3*w, w - 8 = -8*r + 6*r. Solve 7*l - 2*l = 5*k + 5, -5*l + 3*k + 1 = w for l. -1 Let c be (6 - -24)/3 + -6. Solve c*k = -4*j + 16, 8*j - 3*j = 10 for k. 2 Let k(x) = 2*x + 10. Let b be k(-4). Let l = 5 - b. Solve -3 = -l*y + 6*y, -2*m = -2*y - 10 for m. 4 Suppose 2*q + 159 = 163. Solve d = o + q - 3, -2*o = 2*d - 6 for d. 1 Let j be 1/(((-12)/4)/(-21)). Let r be 8 + (-19)/j + 10/(-35). Solve -f + c = -0*c, 0 = r*f - c + 20 for f. -5 Suppose -4*r + 341 = 3*x, 4*x = 2*x + 2*r + 218. Let l = 122 - x. Solve -l = 3*s - 2*d, -4*d = 5*s - d + 31 for s. -5 Suppose -2*z - 10 = -0. Let q be (1 + z)*2/(-4). Suppose -5*m + q + 8 = 0. Solve 3*r + 2 = -b, 2 = -5*r - 2*b - m for r. 0
{ "pile_set_name": "DM Mathematics" }
l - 1050 = -11*l. What is the units digit of l? 0 Let j = -2147 + 3406. Let r = -433 + j. What is the hundreds digit of r? 8 Let q = -6 + 8. Let d = -316 + 472. Suppose -q*a = a - d. What is the units digit of a? 2 Let m = -5393 - -7147. What is the units digit of m? 4 Suppose -2*b + 326 = -2*f + 14736, -3*f + 21619 = -b. What is the hundreds digit of f? 2 Let c = 25 - 22. Suppose 0 = 3*q - 5*u - 883, c*q - 2*u - u - 885 = 0. Let x = q - 210. What is the tens digit of x? 8 Let f(h) = h + 9. Suppose 3*y + 29 = 4*p, 3*p - 5*p + 10 = 0. Let m be f(y). Suppose 2*s = -5*k + 654, -m = 5*k + 3*s - 662. What is the units digit of k? 0 Let s(n) = 5*n**2 - 7*n**2 + 5*n**2 + 2*n**2 - 6*n - 6 + 0*n**2. What is the units digit of s(9)? 5 Let j be 1278/(-14) - (38/14 - 3). Let n = -95 - j. What is the hundreds digit of (-252)/(-27)*(-78)/n - -2? 1 Let q = 874 + -872. What is the tens digit of (28*-71 + q)*(-10)/15? 2 Let b = 10 + -8. Let g be (-2*b/(-2))/((-32)/96). What is the tens digit of (-244)/(-6)*(-9)/g? 6 Let q be -269*2*(-6 + 4)/1. Let p = 1819 - q. Suppose -10*t + p = -197. What is the tens digit of t? 9 Suppose -44*c - 63 = -23*c. Let q = 7 - 10. What is the units digit of 2*(1 + c/q)? 4 Suppose 0 = -24*f - 2*f - 962. What is the hundreds digit of 74*f/(-6) + 4/6? 4 Let o(b) = -b + 11. Let y be o(7). Suppose -5*c + 346 = -y. Suppose -4*x - 3*x + c = 0. What is the units digit of x? 0 Let q(c) = 120*c - 17 - 10 - 20 + 37. What is the units digit of q(5)? 0 Let p = 670 + -382. Suppose 7*w = 1455 + p. What is the tens digit of w? 4 Let m(n) = -2*n**3 - 13*n**2 - 4*n - 28. Let t be m(-9). What is the tens digit of t*(5 + (-203)/49)? 5 Let o(p) = -233*p**2 - 4*p - 5. Let x be o(-1). Let v = x + 392. What is the hundreds digit of v? 1 Let n be (-3)/(-12) - 6303/(-4). Suppose 5*f = 3*g - n + 474, 5*f + 374 = g. Suppose -58*r + g = -56*r. What is the tens digit of r? 8 Let f = 4493 - -1179. What is the thousands digit of f? 5 Let i(u) = -3*u**3 + 5*u**2 - 2*u - 21. Suppose -3*x = 0, -2*x = c - 6*x - 9. Let z be i(c). What is the hundreds digit of 25/20 + z/(-12)? 1 Let b = 92904 + -47488. What is the ten thousands digit of b? 4 Suppose 1077063 = -176*q + 3790103. What is the hundreds digit of q? 4 Let l(q) = q**3 + 7*q**2 + 10*q + 244. What is the units digit of l(-7)? 4 Suppose 664 = 8*j - 2288. What is the tens digit of j? 6 Let s = 9606 - 7247. What is the tens digit of s? 5 Let g(f) = f**3 - 2*f**2 - f + 2. Let i be g(1). Let t be i - ((5 + -2 - 5) + 5). What is the units digit of 1492/12 - (-1)/t? 4 Suppose 31 = 5*p - o, 29 = 4*p - 3*o - 2*o. Suppose -x + 3*x - p = 0. Suppose 4*i - x*z = 50 - 3, -31 = -2*i - z. What is the tens digit of i? 1 Let i = 7920 + -1655. What is the hundreds digit of i? 2 Suppose -3*o - 3*c = 2*c + 2, o = c + 2. What is the units digit of -1 - (-7 + 11 + o*-271)? 6 Suppose 0 = -76*z + 1407364 + 1793300. What is the ten thousands digit of z? 4 Let q = -94 - 5. What is the tens digit of 2657/9 - (-22)/q? 9 Let q = 55770 + -32582. What is the hundreds digit of q? 1 Suppose -5*c = 3*z - 5626, -5*c + 1828 = 5*z - 3802. What is the tens digit of 2*(-5)/((-20)/c)? 6 Suppose 5*h + 1209 = -4*m + 293, 0 = 5*m - 3*h + 1182. Let f = m + 965. What is the hundreds digit of f? 7 Let h = 301 - 325. What is the units digit of (-25119)/(-54) + 4/h? 5 Suppose 4 = 5*m - 3*m. Suppose 2*f = -2*d + 422, 0 = -4*f + 4*d - 5*d + 841. Suppose 3*a + m*t - f = -t, -a - 2*t = -69. What is the tens digit of a? 7 Let x be 15/(-10)*186/9. Let r = x - -35. Suppose i + 2*h = -13 + 53, -40 = -i - r*h. What is the units digit of i? 0 Let q(j) = 17*j**2 - 19*j - 156. Let m be q(-52). What is the thousands digit of ((-12)/(-10))/(52/m)? 1 Let u(b) = 45*b - 175. Let s be u(4). Suppose -5*a - 5*x = -2*x - 1011, 4*a + s*x - 814 = 0. What is the tens digit of a? 0 Suppose 379*u - 2568353 = 6370628 + 3726062. What is the tens digit of u? 1 Suppose 176 = 2*r - 2*s, -s + 133 = 2*r - 43. Suppose k - r - 301 = 0. What is the hundreds digit of k? 3 Let i = -63 + 59. Let n = i + 0. What is the tens digit of (5 - -125) + n*1? 2 Let a = 579 - 335. Let t = 442 - a. What is the tens digit of t? 9 Let g = -180 - -195. Suppose g*l - 2736 = -l. What is the hundreds digit of l? 1 Let o = 50 + -45. Suppose 2*p - k + 71 = 0, -k + 0 + o = 0. Let t = p - -56. What is the units digit of t? 3 Let s(v) be the first derivative of -51*v**2/2 + 32*v - 245. What is the tens digit of s(-24)? 5 Let r be (-8)/10 - (-48)/10. Let v be 168*(r + 4/(-6)). Let p = v + -326. What is the hundreds digit of p? 2 Let u(l) = l**2 + 15*l + 17. Let f be u(-14). Suppose -a - 13 = 5*b, 2*b + 41 = 3*a - f*b. What is the tens digit of -3 - ((-53)/a + -1)*7? 5 Suppose 517630 = 32*f + 95295 - 325793. What is the units digit of f? 9 Let y(h) = -24598*h + 99. What is the hundreds digit of y(-2)? 2 Let d = 4674 + -3632. What is the hundreds digit of d? 0 Suppose 9*d - 632 = 3670. Suppose 0 = 5*h - 5*i + 3*i - 820, 3*h = 4*i + d. What is the tens digit of h? 6 Let y be (18 - 40)*(3/2)/3. What is the tens digit of 2255/y*1/(-5)? 4 Let f(i) = i**2 + 1. Let n be f(1). Let j be -3*3/(-6)*n. Suppose 0 = 6*q - j*q - 4*x - 123, 4*q - 145 = -x. What is the units digit of q? 7 Let p(f) = -919*f - 410. What is the thousands digit of p(-8)? 6 Let x(i) = -64*i + 609. What is the tens digit of x(-16)? 3 Suppose 3*x - 2*s = 3446, 5*s = -2*x + 5*x - 3449. Suppose 0 = -7*w + x - 126. Suppose 3*r - 70 = w. What is the tens digit of r? 7 Suppose -6*j - 67 = -841. Let c = j - 53. What is the units digit of c/14 - (-3)/(-7)? 5 Let b(k) = 2*k**2 - 6*k - 10. Let n be b(-2). Suppose c + 35 = n. What is the hundreds digit of (2/(-20)*-6 + c)*-5? 1 Suppose 0 = -l - 3*l - 8. Let g(m) = 59*m**2 - 3*m - 3. What is the tens digit of g(l)? 3 Let f(s) = -s**3 + 5*s**2 - 5*s + 9. Let m be f(4). Let x(j) = 1 + 4*j - 4 + 5*j - j**2 + 1. What is the tens digit of x(m)? 1 Suppose 2*d - 672 = -y, -58*y - 687 = -59*y + d. Suppose -1229 = 3*w - 4*n, -2*w - 408 = -w - n. Let k = w + y. What is the units digit of k? 9 Suppose -32 = -5*z - 3*z. Suppose -2*w - 5*v + 141 = 0, z*v + 26 = 3*w - 174. Suppose -67*m - 242 = -w*m. What is the tens digit of m? 4 Suppose 3*k + 101733 = 3*m, 129*m = 125*m - 4*k + 135708. What is the thousands digit of m? 3 Let i = -144 - -318. Let q = i - -301. What is the tens digit of q? 7 Suppose 2*g - 5 - 21 = 2*s, 3*g - 37 = 2*s. Let z(t) = 23 - t**2 + 21 + t**3 + 5*t - g - 4*t. What is the units digit of z(0)? 3 Suppose -3*d + c + 3 = 0, -6*c + 9*c = -4*d + 17. Suppose d*w - 6 = 0, 0 = -3*b + 5*b - 2*w - 796. What is the hundreds digit of b? 4 What is the hundreds digit of (-4)/(-30) - (-117)/(17550/4660180)? 0 Let m(w) = -565*w**3 - 3*w**2 - 7*w - 5. Let n be 74/(-111) + 1/(-3). What is the units digit of m(n)? 4 Let u(j) = 2*j + 23. Let y be u(-20). Let i(x) = -17*x + 71. What is the units digit of i(y)? 0 Let f = 1170 - 676. Suppose c = -5*o - 2*c + f, -379 = -4*o + 3*c. What is the units digit of o? 7 Let q(c) = 346*c**3 + 11*c**2 + 19*c - 5. What is the hundreds digit of q(4)? 3 Suppose 9*b + 29 = 83. Suppose -b*m + 405 = -81. What is the tens digit of m? 8 Let i(h) = -2*h**3 + 76*h**2 + 38*h - 47. What is the tens digit of i(28)? 9 Suppose 0 = -11*d + 109087 + 184085. What is the tens digit of d? 5 Let v(j) = 7*j**3 - 11*j**2 + 43*j - 5. What is the units digit of v(7)? 8 Let y = 3 + -3. Let l(p) = -p**3 + 38 + 0 + 35*p - 78*p + 43*p. What is the tens digit of l(y)? 3 Let q = -147 + 213. Suppose 4*i - i - q = 0. What is the units digit of i? 2 Let z(g) = 2*g + 9. Let t be z(-4). Let i = t - 11. What is the tens digit of ((-37)/(-2))/((-5)/i)? 3 Let g(u) be the first derivative of -7*u**4/4 + 10*u**3/3 - 3*u**2 + 16*u + 2. Let c(o) = -o**3 + 1. Let f(s) = -6*c(s) + g(s). What is the units digit of f(8)? 0 Let j be -4 - 0 - (-12 - 48). Suppose w - j = -2*l, w + 0*w - 2*l - 56 = 0. Suppose f - o - w = 0, -4*f - 2*o = -4*o - 218. What is the units digit of f? 3 Let l(z) = 247*z**2 + 18*z - 2. Let m be l(2). Suppose -5*x + 1120 = -4*f + 3164, 2*f - x = m. What is the hundreds digit of f? 5 Let z = -78 + 82. Let f = 22 + z. Suppose f*q = 22*q + 352. What is the tens digit of q? 8 Suppose -7*c + 13960 = -26493. What is the ten
{ "pile_set_name": "DM Mathematics" }
for n. 3 Let b(t) = t**3 - 32*t**2 + 46*t + 58. Let y be b(31). Suppose -m = -529 + y. Solve -2*d = -4*q + 5*q - 10, -5*q = -d - m for d. 4 Suppose -63*m + 103 - 35 + 58 = 0. Solve -d - 4*j - m = -8, 2*j = -2*d for d. -2 Let j(k) = -252*k - 493. Let r be j(-2). Solve 2*i + 5*z = r, 3*i - 4 = -12*z + 7*z for i. -7 Suppose 395 = 7*m + 367. Solve -4*p = -0*p - 8, -2*p = -m*c - 20 for c. -4 Suppose -2 + 8 = -6*u. Let n(a) = -24*a - 20. Let t be n(u). Solve -3*p + k = -13, 0 = -9*p + t*p - 3*k + 17 for p. 4 Let l(v) = v**2 + 12*v - 276. Let k be l(12). Solve p + k = -3*y, 4*p = -2*y + 7*y + 20 for p. 0 Suppose s = -2*x + 1570, 0 = -3*x + 9*s - 5*s + 2344. Let g = -758 + x. Solve 3*d - 5*o + 35 = 0, 2*o = 2*d - 8 + g for d. -5 Suppose -2*b = -4*h - 4, b - h - 1 = 4*b. Let v(o) = -o**2 - 2*o + 4. Let k be v(b). Suppose -m + 66 = 10*m. Solve -m = -2*z + k*l, -4*z = -0*z - l + 2 for z. -1 Let b = 1014 - 1009. Suppose -63 = -3*f - 18. Suppose 4*t = f + b. Solve -p + 2 = j - 2*j, -t*j + 22 = 3*p for p. 4 Suppose 58 = 4*b + 3*y, -y = -5*b - 5*y + 72. Let i be 4/(b/(-3))*(-8 - -4). Solve i = 4*w - w, -g - 2*w = -6 for g. 4 Suppose 0 = 7*z - 31 - 11. Suppose 5*j = 2*q + z, 2*j + q = -2*j - 3. Solve 5*y - 3*n - 15 = j, 4*n = 5*y + 3*n - 15 for y. 3 Suppose -144*z = 224*z - 10749 - 2867. Solve 5*b + 31 = 33*x - z*x, -3*b + x = 5 for b. -3 Suppose -50*r - 22*r + 144 = 0. Solve 4*j + 8 = n + r*j, 0 = n - j - 3 for n. -2 Suppose 192 = 15*a + 42. Suppose l - 3*i = a, -5*i - 50 = -5*l - 0*i. Solve 0 = -5*g + b + 23, -l - 3 = -3*g + b for g. 5 Let u(f) = 5*f + 16. Let o be u(-5). Let d be (o/6)/(6/(-12)). Solve 4*x + 2*g = -4, 1 = g + d for x. 0 Let o = 6243 - 6238. Solve 2*u = -o*f + 31, u + 3*f = 10 + 8 for u. 3 Let x be (-15 + 16)/(4/28). Suppose m = 2*n - x, -2*m + 22 = -3*m + 5*n. Solve q - 2 = m*b, 0 = -5*q - 0*b - 2*b + 10 for q. 2 Let o be ((-63)/(-6))/3 - 18/12. Let t be o/(-1) + 9 + (-18 - -14). Solve 16 = 4*n + 5*z, 5*n = t*z - 8 - 9 for n. -1 Suppose 0 = -196*j + 189*j - 168. Let l(v) = -3*v - 69. Let h be l(j). Solve 5*a - 4*c = 0, h*c - 7*c = 5*a for a. 0 Let w(u) = -4*u + 19. Let c be w(4). Suppose 0 = 3*l - 15, -l - 77 = c*d - 412. Let m = -109 + d. Solve -5*i + m = 3*t - 6, 5*t + 13 = 4*i for i. 2 Suppose -55 - 57 = -7*h. Let o be 1/(-1*3/(-12)). Suppose o*z - h - 3 = -y, -2*z = -3*y + 1. Solve -2*f - 5 = -m + 6*m, -y*m - 3 = -5*f for m. -1 Let s be (1*26)/((-2)/(-3)). Suppose 34*p = s*p. Suppose 3*i + 32 - 32 = p. Solve -2*r = i, -r - 9 - 11 = -4*v for v. 5 Let t = 6 - -4. Let p(a) = 15*a**2 - 9*a - 26*a**2 - a - 7 + 11 + 12*a**2. Let z be p(t). Solve 3*w = 4*k - 8 + 2, -z*k + 8 = -4*w for w. -2 Let w = -243 - -235. Let m be 0 - 11/(44/w). Solve -2*y = 2*n, 0 = 3*n - 2*y - 3 - m for n. 1 Suppose -10 = -3*j + j, -x + 4*j + 972 = 0. Let n = 996 - x. Solve 4*m - 16 = 0, 5*g - m + 0 = -n for g. 0 Suppose 202 = 35*u + 97. Solve u*k = -3*h - 12, 4*h - 3*k = -0*h + 12 for h. 0 Let n(z) = -z**3 - 11*z**2 + 8*z - 39. Let s be n(-12). Solve -2*h - 3*b - 10 = 0, 13*h - b = s*h + 8 for h. 1 Let r = 5 - 5. Let o be 16/288*38 + (-1)/9. Solve -2*l + 2 = -2*k, o*k + r*k - 1 = l for k. 2 Suppose 12*n - 7*n + 475 = 0. Let c = n - -99. Let l = 14 - 4. Solve l = b + c*b, -5*z - 18 = b for z. -4 Let n = -35 + 38. Let f(c) be the third derivative of c**5/60 - c**4/8 + c**3/2 + 6*c**2. Let g be f(n). Solve -2*s = 3*q - 11, -3*s + 15 = g for q. 1 Suppose -2905 = -11*k - 166. Suppose k*v - 25 = 244*v. Solve -3*x = -r + 18 - 6, -5*x - 20 = v*r for r. 0 Suppose 3*k - 2*x = 13, 0 = -4*k - x - 42 + 85. Solve 0 = -4*f, 12*s - k*s + f - 3 = 0 for s. 1 Let y(b) = -59*b - 229. Let s be y(-4). Solve 7*w - 3*n = 6*w - s, w - 4*n + 11 = 0 for w. 5 Let z = 1 + -1. Suppose 3614 + 2086 = 25*h. Let u be 1/(84/(-24)) - h/(-14). Solve 5*v = z, -3*v + 1 = 5*f + u for f. -3 Suppose 6*g + 5*x = g + 1530, -4*g + x + 1229 = 0. Suppose -3*z + 337 - g = 0. Solve 5 = -5*m + b, 0 = -z*b + 5*b for m. -1 Suppose -46 = -3*y + 44. Let k = y - 28. Suppose k*h = -h + 9. Solve 19 = 4*p + x, -p + h*x = -0*p - 8 for p. 5 Let y = -25997 + 26002. Solve 3*f - 2*g - 9 - 2 = 0, 4*g + 17 = y*f for f. 5 Suppose -367 = 13*m + 11*m - 439. Solve -3*k + 32 = -4*i + 23, -5*i - m*k = -9 for i. 0 Let t(j) = -j**3 + 5*j**2 - 6*j + 28. Let g be t(4). Suppose -18*s = -14*s - g. Solve 2*x + 3*l = 15, -3*x = -0*x + s*l - 25 for x. 0 Suppose 0 = -95*q + 100*q - 15. Solve 3*f = -q*m + 1 - 19, 0 = 4*f + m + 18 for f. -4 Let z(b) = b**3 - 23*b**2 + 16. Let o be z(23). Suppose -8*v = -9*v + o. Suppose -v*n + 11*n = -20. Solve -6*l + 5*s + 5 = -4*l, -n*l + s = -1 for l. 0 Suppose -2*q = -o + 12 - 1, q = -3*o + 19. Let s be 3 + 0/o + 2. Solve -s*f + 4 = g - 3*f, -4*g + 12 = 4*f for g. 2 Let r(f) = -222*f - 438. Let y be r(-2). Solve 0 = -2*n - 2 + y, -12 = m - 5*n for m. -2 Let i be 14/((2 - -2)/2). Let g = 6144 - 6138. Solve 14 = -5*x - 2*h, g + i = -4*x - h for x. -4 Suppose 122*d + 129*d + 115 = 274*d. Solve 1 = 3*q - 2*r, d*r + 28 + 0 = -q for q. -3 Let h(l) = 91*l + 457. Let o be h(-5). Solve 2*n - 2*b + o = 0, -31 - 6 = 5*n + 3*b for n. -5 Let p be 224/140*(-1 - 18/(-8)). Solve -k - p*u + 13 = 0, 23 = 4*u + 3 for k. 3 Let j = 7 + -3. Suppose -19*f + 154 = 2. Solve 0 = -j*u + f, -27 = -2*z - 5*u - 7 for z. 5 Suppose -12*j + 215 = 31*j. Solve -2*l + 6 = -4*t, j*t - 5*l = -11 - 9 for t. 1 Suppose -5*t = 5*o - 20, 3*t = -6*t - 4*o + 16. Solve 2 = 2*z - 5*d + 7, t = -3*d + 9 for z. 5 Suppose 2*q - 6 = -46*g + 48*g, 16 = -4*g + 5*q. Solve -4*d = s + g, s = -0*s - 5*d for s. -5 Suppose -32 - 42 = -14*k - 18. Solve -3*h + l = -k, 5*h - 3*l - 8 = -4 for h. 2 Let v(r) = -367*r - 1086. Let h be v(-3). Solve 3*w - 3 = w + c, h = 5*w + 5*c for w. 2 Suppose 0 = 31*y - 1000 + 1000. Solve y = -2*o - 4*c - 4, 5*c + 6 - 10 = 2*o for o. -2 Let v be 7 - (-30 + 4 + 13). Solve -2*x + 6 = -4*d, v*d - 22*d - 1 = -3*x for d. -2 Suppose -v + 27 = 5*n, 0 = 733*n - 732*n - 5. Solve -3*r + 2*q + 0 = 2, v*q = -4*r - 12 for r. -2 Suppose 37*f + 15*f - 65*f = -26. Solve -2*l = -5*i + 4, f*i + 12*l - 9*l + 6 = 0 for i. 0 Suppose -5*o - 99 = 41. Let u = -96 - -128. Let f = o + u. Solve 3*z = -6, -4*n - f*z + 14 - 2 = 0 for n. 5 Suppose 0 = 10*m - 310 - 10. Let i be (5/((-120)/m))/(2/(-3)). Suppose -3 + 65 = i*v. Solve -4*d - 26 = -4*u + 2, -3*u = -5*d - v for d. -5 Let p(d) = -86*d + 1995. Let l be p(23). Solve 2*y + 215*h - l = 220*h, -4*y + 2*h + 10 = 0 for y. 1 Let j = 433 + -433. Let s be 5/(0 - (j + -5 + 4)). Solve -s*u - f = -13, f + 3 + 4 = 5*u for u. 2 Let o be 0/4*(-2)/(-6). Let w = 61 - 107. Let g = -41 - w. Solve -4*v - 8 - 7 = -3*y, g*v + 15 = o for y. 1 Let y be (7/((-56)/(-7328)))/(2 - 0). Suppose 5*v + 418 = y. Solve -2*s - 3*i = -v*i - 17, -2*i = 5*s + 30 for s. -4 Let h = -1339 + 1355. Solve 3 = -n, 14*x + h = 16*x - 2*n for x. 5 Let s be (-404)/(-36) - 4/18. Let h(a) = a**3 - 11*a**2 + 9*a - 93. Let v be h(s). Solve -5*k - 3*g + 4*g = 22, -3*k = 3*g + v for k. -4 Let n be (-8)/18 + 2264/72. Suppose -n*v = -2*v. Solve 5*d - 5 = 5*h, 1 = -v*d + d - 2*h for d. 1 Let d(n) = 6*n**2 - 6*n + 5. Let h be d(2). Let q(y) = 2*y**3 - 35*y**2 + 16*y + 19. Let t be q(h). Solve 0 = s - t*g - 6, g + 7 = 4*s - 10 for s. 4 Let a(w) = -w**2 - 68*w - 118. Let s be a(-66). Let v be 10 - 1 - 8/2 - 2. Solve 2*l + l = -4*u + 15, v*u = -5*l + s for u. 3 Let w = -514 - -517. Solve u - 15 = -3*o + 8*o, 0 = 3*o + w*u + 9 for o. -3 Suppose a - 4*i = -5, 5*a - 20 = 2*i + 3*i. Suppose -9*r + 8 = -a*r. Let u be (-204)/(-60) - (-4)/(-10). Solve f = 4*v - r, -f = u*v - 2*v + 4 for v. 0 Let q = -7919 - -7924. Let a be (-10)/(-12)*(10 + -4). Solve -40 = -q*z - a*j, -2*z - 3*j = -5*j for z. 4 Let q = -19 + 21. Let g(c) = -c**2 + 29*c - 116. Let u be g(24). Solve u*h + d + 17 = 2, q*h - 5*d - 9 = 0 for h. -3 Suppose -3*m = -5*s - 477, 6*m = 3*m - 3. Let b = s - -104. Suppose -3*f + 39 = 5*u, -f + u - 3 = -b. Solve -3*g + f = -2*p + 19, 0 = -3*p + 12 for g. -1 Suppose 4*w = 5*n - 1, 0 = w - 3*w - 3*n + 5. Let o be 154/(-33)*(-12)/14 + 1. Solve -2*q = -o*c + 1, c + 5 = -q + w for c. -1 Suppose -3*w + y + 2 = 0, -4*w - 4*y + 5 = -19. Let g(n) = n**3 - 35*n**2 + 280*n - 8362. Let l be g(34). Solve 5*p + 6 = -2*s, -w*s + l*p = -6*s + 4 for s. 2 Suppose 19*r - 14 - 62 = 0. Suppos
{ "pile_set_name": "DM Mathematics" }
omposite number? True Is 536628959 a composite number? False Is 194596369 composite? True Is 7812075111 prime? False Is 74628077483 prime? False Is 73471487 composite? False Is 3593718389 composite? False Is 3921919061 a composite number? True Is 11611409279 a prime number? True Is 2661627707 prime? True Is 13792869526 composite? True Is 23532806909 prime? True Is 165108593 composite? True Is 7047513049 a composite number? False Is 1545550639 composite? False Is 21095083805 composite? True Is 74466169 a composite number? True Is 181806508357 a composite number? True Is 81784798439 a composite number? True Is 1025872777 a prime number? False Is 8189964967 prime? True Is 48317821 prime? False Is 4933739935 a composite number? True Is 1505336569 a composite number? True Is 2205300793 a composite number? False Is 1232434723 a prime number? False Is 1009601009 a prime number? True Is 13998698171 a composite number? False Is 5954810629 a prime number? False Is 5535732553 a composite number? True Is 537387217 a prime number? False Is 510984907 a composite number? True Is 156280435706 a composite number? True Is 55326013 composite? True Is 67379784881 a prime number? True Is 124950967 a composite number? True Is 93408811 prime? True Is 76889533619 a composite number? False Is 319337362 composite? True Is 2799421361 a composite number? True Is 36589678327 composite? False Is 6585413773 a prime number? False Is 1928683 a composite number? True Is 18167442137 prime? False Is 19399812518 a prime number? False Is 1927170653 a prime number? True Is 87842297 composite? False Is 66969924439 a prime number? False Is 210808123 prime? False Is 242293693 a composite number? False Is 5467990061 a composite number? False Is 6152613167 prime? True Is 3653092987 a composite number? False Is 263805077 composite? True Is 2175204989 a composite number? True Is 140118361 a prime number? False Is 9146937109 composite? False Is 19441869569 a composite number? False Is 10123241987 a composite number? False Is 1294429637 a composite number? False Is 5442096131 a composite number? False Is 2351315863 a prime number? False Is 2070019969 a prime number? True Is 38068551797 a composite number? False Is 13201342837 prime? True Is 1406388598 composite? True Is 3170655509 a composite number? True Is 6610097581 a composite number? True Is 11848215578 a composite number? True Is 216836993 a prime number? True Is 67713727219 prime? False Is 12571335589 composite? False Is 3196384187 composite? False Is 201454049 a prime number? True Is 105499069 a prime number? False Is 1782141343 prime? False Is 6642417787 a prime number? True Is 8144415289 prime? False Is 2885863661 a composite number? True Is 15282794993 prime? False Is 5168032157 prime? False Is 4217812009 a composite number? False Is 18016417043 composite? False Is 146788677583 a prime number? True Is 15969962119 a prime number? True Is 16003563077 a prime number? False Is 5123446513 composite? False Is 279706897 prime? True Is 38364809683 prime? True Is 4889327167 prime? True Is 37190247 composite? True Is 1160895721 a prime number? False Is 248301763 prime? True Is 9653924167 a prime number? False Is 932275381 a composite number? False Is 4213379809 prime? True Is 24104203 composite? False Is 57299399533 composite? False Is 108593625877 a prime number? False Is 2925509269 composite? True Is 17187779461 prime? True Is 657404749 a prime number? False Is 1230514361 composite? False Is 484561943 prime? False Is 32639296049 composite? False Is 1075378201 a prime number? False Is 853900519 a prime number? True Is 6330333431 composite? False Is 24866046011 a prime number? True Is 10458074729 prime? False Is 103843075351 prime? True Is 442398881 composite? True Is 10760521367 a composite number? False Is 182748844063 composite? False Is 738624899 a composite number? True Is 567027941 composite? False Is 50661924151 composite? True Is 2260639913 a composite number? True Is 1578410979 composite? True Is 719190833 a prime number? False Is 110101895303 a prime number? False Is 72127631 a prime number? False Is 309694669 a composite number? True Is 27658019 composite? True Is 2235356969 composite? False Is 2024672617 a prime number? False Is 1119780731 a prime number? True Is 12604694213 a prime number? True Is 3958711661 a composite number? False Is 6481028501 composite? False Is 8612036167 prime? False Is 528854743 prime? False Is 637549739 prime? True Is 19035512317 composite? True Is 28259968937 a composite number? True Is 7912489847 composite? False Is 3927748813 composite? False Is 9407396863 a composite number? True Is 544928093 composite? False Is 3025331599 composite? False Is 26494086569 a composite number? False Is 6539019241 prime? False Is 2421891382 a composite number? True Is 5081459693 a prime number? False Is 4423423429 a composite number? False Is 2234289907 prime? True Is 48847217 a composite number? False Is 406368647 composite? False Is 2222120638 a prime number? False Is 3695351633 prime? False Is 86121750821 a composite number? True Is 2046770279 a composite number? False Is 187219337 prime? False Is 55512277 a prime number? False Is 574483817 a prime number? False Is 61790893943 prime? True Is 16797566063 prime? False Is 922954711 prime? False Is 25361961113 composite? False Is 2654753019 a prime number? False Is 18219391543 a prime number? True Is 56432847 a prime number? False Is 52710679651 a prime number? False Is 17593273883 a composite number? False Is 78874519 a prime number? False Is 27532630453 composite? True Is 141228773 prime? False Is 6253580379 a composite number? True Is 24705982787 a prime number? True Is 252752293 prime? True Is 8296553 a prime number? True Is 411383587 a composite number? True Is 799796357 a composite number? True Is 11107730563 composite? False Is 739482617 composite? False Is 296923131677 a prime number? True Is 259175099 prime? False Is 1786063603 prime? False Is 735633737 prime? True Is 676581394 a prime number? False Is 473482609 composite? False Is 2468592073 prime? True Is 26682551473 a composite number? False Is 6217935431 a composite number? False Is 117536250443 composite? True Is 62140866107 prime? True Is 14760417611 a composite number? False Is 83630773679 a prime number? False Is 1393549033 a composite number? False Is 545019043 composite? False Is 3787214059 a prime number? False Is 35926664105 a composite number? True Is 7094137573 composite? False Is 28975367 composite? False Is 4453546303 composite? False Is 295162019 a composite number? True Is 107190367 composite? True Is 345449999 a composite number? False Is 2117250449 prime? True Is 246767527109 a prime number? True Is 353691241 a composite number? False Is 4144689671 a composite number? False Is 231510101 composite? True Is 6381766537 a prime number? False Is 3153879487 a prime number? False Is 1589769277 prime? True Is 119403360205 composite? True Is 7478856001 a composite number? True Is 2138273227 a prime number? False Is 637452589 a prime number? False Is 15325740583 composite? False Is 2461720507 a prime number? True Is 3057722179 a prime number? True Is 23427087119 a prime number? True Is 2245613099 prime? False Is 2637726599 composite? False Is 181917054221 a prime number? False Is 196251101 prime? True Is 10784413417 a composite number? False Is 341314847 a prime number? False Is 4803565331 prime? True Is 2725269647 composite? True Is 44407299633 a composite number? True Is 11785523107 a prime number? True Is 151271093 a composite number? True Is 113328420721 composite? False Is 395416166647 composite? False Is 38381386663 a composite number? False Is 51988199279 a composite number? True Is 1392585521 a composite number? False Is 1836145187 a prime number? True Is 1126347847 composite? False Is 800800969 a composite number? False Is 4390030069 composite? False Is 86748275429 composite? True Is 6365829667 a prime number? True Is 62513400973 a composite number? False Is 779610649 a prime number? True Is 345666179 composite? False Is 7302205853 a prime number? False Is 77567687 prime? True Is 226200899137 a prime number? True Is 9953279533 composite? True Is 8338347917 prime? True Is 91060020151 a p
{ "pile_set_name": "DM Mathematics" }
osite? True Let d(l) be the first derivative of -11*l**4/2 - l**3 + 7*l**2/2 + 11*l - 23. Is d(-6) a prime number? False Let l be ((-6)/2)/(2 + -3). Suppose -l*b - 71 - 1393 = 0. Let w = b - -915. Is w a prime number? False Let v = 3802 + -2153. Is v prime? False Let h(z) = -z**2 - 23*z + 5. Let j be h(-16). Let b = 206 - j. Is b composite? False Suppose 5*d - d - 24 = 0. Suppose 3*v + 131 + 26 = l, 4*l + 204 = -4*v. Is v/d*135/(-18) prime? False Suppose 12*h - 20495 - 65917 = 0. Is h prime? False Let a = 3764 - 6250. Is (-2)/(-8) + a/(-8) a prime number? True Let j(o) = -o**3 - 17*o**2 + 21*o + 52. Let c be j(-18). Is 168/36*(-33)/c composite? True Suppose 14*a = 18*a - 2720. Suppose 2*y = y - 4*b + a, -b - 670 = -y. Let j = y - 325. Is j a composite number? False Let w(r) = r**3 + 3*r**2 + 9*r - 5. Suppose -3*k + 6*k = 48. Suppose 0 = k*n - 11*n - 30. Is w(n) composite? False Let x = 56 - 36. Is (-5570)/x*(-2 - 0) a composite number? False Suppose 2*i + 30 = 5*i. Let t be (24/(-15))/((-4)/i). Suppose -t*h - 248 = -4*j, 3*h = -2*j - h + 94. Is j prime? False Suppose 53606 = 13*q + q. Is q a prime number? False Suppose a = 2*u + 5*a - 12050, 2*u - 12078 = 3*a. Is u/12 + (-5)/(-20) a prime number? True Let d(w) = -69*w**3 - 5*w**2 - 9*w - 38. Is d(-7) prime? True Suppose -2*n + 17318 = 5*b, 0 = 4*n + 71*b - 72*b - 34614. Is n prime? False Suppose -376 = -t + 5*o, -3*t + t = -5*o - 757. Is t composite? True Suppose -3*g + g + 20994 = 0. Suppose -9*j = -12*j + g. Is j prime? True Let p(q) = 2122*q + 221. Is p(5) prime? True Let i(y) = y**3 - 6*y**2 - 4*y - 5. Let k(p) = -p + 3*p**2 - 1 - 3*p**2 - p**2. Let f(d) = i(d) - 5*k(d). Is f(3) composite? True Suppose -6*n = -5*n - 989. Let m = n + -316. Is m composite? False Let u(p) = -399*p - 8. Is u(-13) a composite number? False Suppose -5*d - 2*i + 8 = 0, -3*d + 11 = -3*i + 2. Suppose 6299 = 5*w + 2*v, -d*w - 2*w = -v - 5034. Is w a prime number? True Let j(f) = 3*f - 15. Let t(y) = y**3 - 7*y**2 + 7*y - 1. Let h be t(6). Let v be j(h). Is 11/(-22)*(v - 1058) a composite number? True Let g(a) = 8*a - a**2 + 26*a**2 - 4 - 3*a. Let d be g(-6). Suppose 5*p = -z + 200, 4*z - 7*p + 5*p = d. Is z a composite number? True Let a(l) = -81*l - 20. Let m(c) = -242*c - 59. Let t be 35/10 + 1/2. Let b(p) = t*m(p) - 11*a(p). Is b(-9) a composite number? False Let x(o) = -76*o + 15. Let v be 2 - (69/12 - (-4)/16). Is x(v) a composite number? True Suppose -c = -21 - 3. Suppose 9*d = c*d - 6645. Is d a composite number? False Let q(c) = 663*c + 100. Is q(5) composite? True Is (156186/42 - (-4)/14)/1 a composite number? False Suppose 5*d + r - 3885 = 0, -6*r + r = 3*d - 2309. Let b = -444 + d. Suppose 0 = x + 5*a - b, -2*x + a + 271 + 364 = 0. Is x prime? False Let c = 2275 - 1232. Is c a prime number? False Let q(b) = 3*b - 18. Let w be q(10). Let y(z) = 10*z**2 - 8*z - 7. Is y(w) a composite number? True Let g(n) = n**2 - 13. Suppose 4*w = -4*x, 3*x - 16 = w + 8*x. Let q be g(w). Suppose 4*b = -q*z + 1435, -3*z + 980 = -z - 2*b. Is z a prime number? False Let q = -4 - -3. Let b(n) = -38*n**2 - 5*n - 4. Let d(w) = -38*w**2 - 6*w - 5. Let c(r) = -4*b(r) + 3*d(r). Is c(q) a prime number? True Suppose k - 5680 = 3*f, 5*f + 13260 = -2*k + 3797. Is f/(-2)*4/6 a prime number? True Let d = 28 + -22. Let a(s) = s**3 - 4*s**2 + 2*s - 5. Is a(d) a prime number? True Let y be (199/2)/((-5)/(-160)). Suppose -7*a + 1989 + y = 0. Is a a prime number? True Let g be 1/(-2 - 12876/(-6436)). Suppose -1701 - g = -5*o. Is o composite? True Suppose 596664 = 7*c + 29*c. Is c composite? True Let r be 6 - (-2 - 1)/(-3). Suppose 4*c + r*l - 297 = 0, -4*c + 4*l + 252 = -0*l. Suppose 42 + c = 2*n. Is n a composite number? True Let j be (115 + 10)*(-2)/2. Suppose 238 = -12*k + 13*k. Let f = k + j. Is f prime? True Is (2/(-2))/(4/(-58364)) composite? False Let h = -1703 - -3750. Is h a prime number? False Let s = 30 - 24. Suppose s*p - 730 = p. Is p a prime number? False Let g(k) = 14402*k**3 - 2*k**2 + 15*k - 14. Is g(1) composite? False Let z be 2496/4 + (0 - 0). Let n = z + -1048. Let k = n + 615. Is k a prime number? True Suppose -3*i = -13757 - 8092. Is i prime? True Let l = 18982 - -2077. Is l a prime number? True Is (77137/4)/(10 + 390/(-40)) a composite number? False Suppose v - 3*j - 1397 = 0, v = 4*v + 3*j - 4239. Is v a composite number? False Suppose -1337 = -4*c + 3*c. Suppose 16*d = 9*d + c. Is d a composite number? False Let j = 34 - 43. Is (-2)/(-3) - 948/j a composite number? True Let j(w) be the second derivative of w**5/20 - 5*w**4/12 + 7*w**3/6 - w**2/2 + 7*w. Let x be j(3). Suppose 4*r + 15 = g, x = g - r - 4. Is g prime? True Suppose 2*t + 5*b + 3440 = 0, -3*b + 0*b = -3*t - 5202. Let z = -648 - t. Is z a composite number? True Is 9124/(-10)*(-60)/24 a composite number? False Suppose -342035 = -11*x + 164394. Is x prime? False Suppose -9 = -4*d + 3*o, 4*d - 5*o - 9 = -2. Suppose -d*l + 15 = 2*l. Suppose 0 = -l*a + 52 - 7. Is a composite? True Let j = 823 - -1133. Suppose j + 1510 = 2*u. Is u prime? True Let z = -10310 + 21325. Is z prime? False Is -764*(6 + 924/(-48)) a composite number? True Suppose -2*g = 8, r - 5*r - 4*g + 312 = 0. Let a be -8 - 887/(-15) - (-2)/(-15). Let f = r - a. Is f a composite number? False Let s be (-224)/(-3) + 2/(-3). Suppose 0 = 4*b + 3*f - 80 - 150, b - 49 = -5*f. Suppose -s = -g + b. Is g composite? True Let b(h) = -7*h**3 + 2*h**2 + 8*h - 30. Is b(-7) a composite number? True Let q = -3945 + 55094. Is q composite? True Suppose 115962 = 15*l + 27*l. Is l composite? True Suppose -7*h + 10 = -25. Suppose -h*w + 50 = -55. Suppose w*b - 23*b = -370. Is b composite? True Suppose -3*l - 214 = 470. Let m be (l/(-30))/(1/5). Let o = 101 + m. Is o a prime number? True Is (-20)/(-24) + (-3781)/(-6) prime? True Suppose 5*d + 8 - 183 = 0. Let l = 35 - d. Suppose -3*b + 7*b - 892 = l. Is b a composite number? False Let g(x) = x**3 + 5*x**2 - 9*x. Let r(w) = -5*w**2 + 9*w + 1. Let i(f) = -3*g(f) - 2*r(f). Is i(-7) a prime number? True Let s = -8 - -11. Suppose 0 = -4*v + 2*c + 304, s*c = 4*c - 2. Is v prime? False Let y(r) be the first derivative of 7*r + 5 - 1/4*r**4 - 8*r**2 - 14/3*r**3. Is y(-13) a prime number? False Suppose 4*c = 7*c - 6. Suppose 3*i + c*i - 2270 = -5*t, -914 = -2*i + t. Suppose 2*u + 5*o = i, 3*o - 8*o + 1125 = 5*u. Is u a composite number? False Let v(y) be the second derivative of -1/2*y**2 - 5/6*y**3 - y - 1/12*y**4 - 1/20*y**5 + 0. Is v(-4) composite? False Suppose -36189 = -10*y + 82321. Is y a prime number? False Let h be (-963)/12*(-6 - -2). Suppose y = -3*y - 432. Let m = y + h. Is m composite? True Suppose j + 3345 = 4*j. Suppose -4*k + 3*k - 4*y - j = 0, -3*k = 5*y + 3380. Let f = 1776 + k. Is f a prime number? True Let z be (36/(-60))/((-2)/10). Suppose -z*u - 83 = -1004. Is u a prime number? True Suppose -7*z - 25 = -12*z. Let h(f) = 4*f - 15. Let b be h(z). Suppose b*v + 63 = -4*d + 1286, -5*d - 5*v = -1530. Is d prime? True Suppose -17*x = -29*x + 30252. Is x prime? True Let i(y) = 4*y + 1553. Let d be 1/(-2)*0/(-13). Is i(d) prime? True Is (20995 + -2)*1/7 prime? True Let o be (-5)/2*3*2. Let x(r) be the second derivative of -r**4/12 - 7*r**3/2 - 7*r**2/2 + 5*r + 4. Is x(o) prime? True Let i(r) = r**3 + 6*r**2 + r + 6. Let l be i(-6). Suppose 3*s - 47 - 220 = l. Is s a prime number? True Let h be 1*16/12*-3. Is (-2 - -1*4)*(-4306)/h a prime number? True Let z(o) = 15*o + 0 - 1 - o + 94*o. Is z(3) a composite number? True Let f(h) = 200*h**2 + 1. Suppose 4 - 13 = -3*g. Suppose 0 = -n - g*n + 4. Is f(n) prime? False Let m(p) = -2305*p - 107. Is m(-4) a prime number? False Let d = 23404 + -13367. Is d composite? False Let b = 288 + -82. Suppose -11*w = -1125 - b. Is w composite? True Let n(q) = 16*q**3 - 2*q**2 + 4*q. Let g be n(2). Suppose 3*j - 1393 = -5*m, -5*j + 2499 - g = -4*m. Is j a prime number? False Let y = -1143 + 238. Is 2/(4/(-2))*y composite? True Suppose 4*l - 7*l + 10*w + 162913 = 0, -5*l - 5*w + 271565 = 0. Is l a composite number? False Let g(p) = -3*p**3 + 31*p**2 + 3*p - 7. Let t(u) = u**3 - 16*u**2 - u + 3. Let c(j) = -2*g(j) - 5*t(j). Is c(-14) composite? False Let t = -1753 - -3192. Is t prime? True Suppose 11*x = -7*x + 715194. Is x a compos
{ "pile_set_name": "DM Mathematics" }
t(49)/sqrt(7)*-6). 42*sqrt(2)/5 Simplify ((sqrt(300) - (3 + sqrt(300)*-2)) + -6*(0 + sqrt(300)) + 0)**2. 180*sqrt(3) + 2709 Simplify (sqrt(112) - (sqrt(112) + 0 + sqrt(112) + sqrt(112))**2)*-6 + 5 + 5 + (sqrt(112) - -2*sqrt(112))**2 + 2. -24*sqrt(7) + 7068 Simplify (-5*(sqrt(208)*-2 + -2 - sqrt(208)) + (5*(sqrt(208) + sqrt(208) + -1 + sqrt(208)) - (-1*sqrt(208) + 0)))**2*5. 6200*sqrt(13) + 999565 Simplify (5 + 1*sqrt(72) + -2*(sqrt(72) + -1))**2 - ((sqrt(72) - (-1 + sqrt(72) + -5)) + (sqrt(72) + 1)*1)**2. -168*sqrt(2) Simplify (0 + (3 + sqrt(1900) + (sqrt(1900) + sqrt(1900) + 1)*2 + 4)*4)**2. 14400*sqrt(19) + 761296 Simplify 1*(-2*sqrt(847))**2*-1 + (2*sqrt(847)*2 - sqrt(847) - sqrt(847))**2 + -1 + -5. -6 Simplify -2*(sqrt(1573) + 0 - sqrt(1573))*-4 + (6*(sqrt(117) + (sqrt(117)*2 - sqrt(117)) + sqrt(117) + 4))**2. 2592*sqrt(13) + 38484 Simplify (1*(sqrt(99) + 0 + sqrt(99)) + 1 + (sqrt(99)*2 - sqrt(99)) - ((sqrt(99) + sqrt(99) + sqrt(99) + -1)*-4 + 3*(sqrt(99) + 0)))**2. -216*sqrt(11) + 14265 Simplify ((sqrt(90)*-2 - sqrt(90))/sqrt(2)*-1)/(sqrt(63)/(sqrt(7) - (sqrt(7) - (sqrt(7) + -5*((sqrt(28)/sqrt(4) - sqrt(7)) + sqrt(7)))))). -12*sqrt(5) Simplify 5 + (sqrt(1573) + -1*(-1 + sqrt(1573))**2)*1 + 4 + -3. -1568 + 33*sqrt(13) Simplify (sqrt(3) - ((sqrt(12)/sqrt(4))**2 + 5)) + (-1*sqrt(3)*-1)**2 + (sqrt(6)/(sqrt(2)*-3))**2 + (1*sqrt(3)*2)**2. sqrt(3) + 22/3 Simplify 4*1*-3*sqrt(27)/(sqrt(54)/sqrt(6))*3. -36*sqrt(3) Simplify (-3*4*-6*(1 + sqrt(1377))*-3)**2. 839808*sqrt(17) + 64291968 Simplify (1*(sqrt(22) - (sqrt(88)*-2 + sqrt(88))))/((sqrt(2) - (-1*sqrt(288) - sqrt(288))) + sqrt(6)/sqrt(3)*-1). sqrt(11)/8 Simplify -6*((sqrt(3888)*-3)/sqrt(9) - sqrt(81)/(sqrt(300) + sqrt(3))). 2394*sqrt(3)/11 Simplify ((sqrt(11) + sqrt(11) + -1)*4 + sqrt(33)/(1*sqrt(3)))**2 + (sqrt(704) - sqrt(704)*2)**2 + (-2*sqrt(132))/sqrt(12). -74*sqrt(11) + 1611 Simplify -2*((-2*sqrt(450)*-2)/((sqrt(162)*5 - sqrt(18) - sqrt(18))/sqrt(2)))**2. -1600/169 Simplify (((sqrt(121) - (sqrt(121) + sqrt(121)*-2))*3)/sqrt(11) + -1*sqrt(1100) + (sqrt(176) + 3 - sqrt(11)))**2. -6*sqrt(11) + 20 Simplify sqrt(22)/(2*sqrt(1584)) + (-1*sqrt(968))/sqrt(4). -263*sqrt(2)/24 Simplify (5*(5 + sqrt(320) + sqrt(320) + 0) - 3*2*sqrt(320)*3)**2. -3200*sqrt(5) + 21105 Simplify 2*sqrt(637) + (sqrt(13) + -1*sqrt(13))*6 + 3 + sqrt(52) + (sqrt(117)/(-1*sqrt(9)) - sqrt(13)). 3 + 14*sqrt(13) Simplify (2 + (1*(sqrt(540) - (1*sqrt(540) + sqrt(540))) - sqrt(540) - sqrt(540))/(sqrt(12) + -1*sqrt(192)))*1. 2 + 3*sqrt(5) Simplify ((3*sqrt(110)*-5 + sqrt(110))*2)/(sqrt(90)*4 - -1*sqrt(810)). -4*sqrt(11)/3 Simplify -3*(sqrt(192) - -2*sqrt(192))**2*-2 + ((sqrt(48) - (-1 + sqrt(48)))**2 - sqrt(3)*-1*-3). -3*sqrt(3) + 10369 Simplify -4*(((6*sqrt(13)*2)**2 + sqrt(13))*-3 - (-4 + sqrt(13)*1*4)). 28*sqrt(13) + 22448 Simplify (sqrt(143) + (sqrt(143)*-1 + sqrt(143))*-1 - ((-1*sqrt(143) + sqrt(143))*-2 - sqrt(143)))/(-3*sqrt(396)*6). -sqrt(13)/54 Simplify -2*(sqrt(1008) + 2 + -3 - sqrt(1008)) + (1 + sqrt(1008)*-2)*5. -120*sqrt(7) + 7 Simplify -2 + 4*((sqrt(7) - (-3 + sqrt(700))) + sqrt(7) + -2 + sqrt(847) + sqrt(847))**2. 112*sqrt(7) + 5490 Simplify (1 + (0 + sqrt(475))**2 + sqrt(475))*5 - (sqrt(475) - (-4 + 2 + sqrt(475))**2 - (-3*(sqrt(475) + -1)**2 + sqrt(475))). 35*sqrt(19) + 1431 Simplify (3 + -3*-2*sqrt(162) + 3 + sqrt(162) + sqrt(162) + -1)**2 + -2. 720*sqrt(2) + 10391 Simplify (-1 + 2 + -1*sqrt(252)*-6)**2. 72*sqrt(7) + 9073 Simplify (1*sqrt(48))/sqrt(4) - ((sqrt(24)*-1)/sqrt(8) - (sqrt(48)*-2 - sqrt(48))**2). 3*sqrt(3) + 432 Simplify (((2*sqrt(42) - sqrt(42))/sqrt(7) - sqrt(6)) + sqrt(24)/sqrt(4)*2)/((1*sqrt(10))/sqrt(5) + (sqrt(6) + sqrt(6)*2)/sqrt(3)). sqrt(3)/2 Simplify (5 + (sqrt(1008)*1 + sqrt(1008) - (sqrt(7) + 0 + sqrt(7))*1))**2 + -4. 220*sqrt(7) + 3409 Simplify (3*((sqrt(75) + -3 + (sqrt(75) - (sqrt(75) + sqrt(75)*-1)) - sqrt(75)) + sqrt(75) + -5 - 3*3*(2 + sqrt(75))))**2. 16380*sqrt(3) + 39159 Simplify (sqrt(126)/(sqrt(36)*5 + sqrt(9)))/(sqrt(10)/(sqrt(35)/sqrt(7))*2). sqrt(7)/22 Simplify (0 + 3*(sqrt(153)*-3)/sqrt(9) + (sqrt(1088) - -1*sqrt(1088)*-4))**2. 18513 Simplify ((-5 + 1*(sqrt(512) - (sqrt(512) - (sqrt(512) + 0))))*-4)**2 + -5. -2560*sqrt(2) + 8587 Simplify -3 + sqrt(200)*1 + -1*(sqrt(200) - (sqrt(200) - sqrt(200)*-1))**2. -203 + 10*sqrt(2) Simplify 3 + (-6*2*sqrt(102) + sqrt(102))/(sqrt(6) - (sqrt(30)/sqrt(5)*-5 + sqrt(6))) + 5. -11*sqrt(17)/5 + 8 Simplify (5 + (sqrt(5103) - (3*1*sqrt(5103) + sqrt(5103))) + sqrt(5103) + 2 + sqrt(5103)*-1)**2. -1134*sqrt(7) + 45976 Simplify (4 + sqrt(68)/(3*sqrt(8)/sqrt(2)) + 1*(sqrt(17) + sqrt(153)) + 1*sqrt(272))**2. 200*sqrt(17)/3 + 10769/9 Simplify (1 + sqrt(48)/sqrt(6) - (sqrt(8) - (2 + sqrt(16)/sqrt(2))))**2*1. 12*sqrt(2) + 17 Simplify (1 + sqrt(612)*5 + -1)**2 + 5. 15305 Simplify (-5*(sqrt(99) + sqrt(99)*2 + sqrt(99)) + sqrt(99) - sqrt(99))/(sqrt(9)*-4*4). 5*sqrt(11)/4 Simplify (-5*(4 + (-1 + sqrt(242))*-6) + 4)*2. -92 + 660*sqrt(2) Simplify -4*((2 + sqrt(272))*1*-1)**2*-2. 128*sqrt(17) + 2208 Simplify (1 + (sqrt(240)*-2)/sqrt(12) + -2)*4. -16*sqrt(5) - 4 Simplify ((-1 + sqrt(3) + 0)**2 - sqrt(3))*6 - -2*3*sqrt(243). 24 + 36*sqrt(3) Simplify (4*(sqrt(33) + sqrt(330)/(sqrt(20)/sqrt(2))))/(-2*1*sqrt(3)*4). -sqrt(11) Simplify 1*(sqrt(784)*-3)/(sqrt(847)*1). -12*sqrt(7)/11 Simplify -4 + (2 + (sqrt(5) + 3*sqrt(720) + (sqrt(60)*-2)/sqrt(12))**2)*-1. -6131 Simplify 0 + 6*((0 + sqrt(512)*1)**2 + -5). 3042 Simplify (6*sqrt(1300)*2 + 1)**2 - (3 + sqrt(1300) + -3 + sqrt(1300) + -5). 220*sqrt(13) + 187206 Simplify sqrt(133)/(-2*sqrt(112) - sqrt(7) - sqrt(7)) - ((1*sqrt(171))/sqrt(9) + sqrt(304) + 0)**2. -475 - sqrt(19)/10 Simplify (sqrt(11) + 6*(sqrt(11) + 2)**2)*-5 - (2 + sqrt(44)/sqrt(4)*2). -452 - 127*sqrt(11) Simplify (sqrt(350)/(sqrt(14)/sqrt(2)))/(4*sqrt(250))*-4. -sqrt(5)/5 Simplify (3 + sqrt(44)*-6)**2*2 + (sqrt(77) + -1*-1*sqrt(77) + sqrt(77))/(-4*(sqrt(7) + sqrt(28))). -577*sqrt(11)/4 + 3186 Simplify (sqrt(76) + -5*-1*sqrt(76) - (sqrt(76) + -1*-1*sqrt(76)))/((-2*sqrt(20) + sqrt(20) + sqrt(20))/sqrt(5) - sqrt(100)*-1). 4*sqrt(19)/5 Simplify (4 + sqrt(99) + 1 + 2 + sqrt(99) + -5 + sqrt(99)*2 + 2 + 2)**2. 144*sqrt(11) + 1620 Simplify -5*(sqrt(833) + 1)*-3 + (sqrt(833) + (3*(sqrt(833) + sqrt(833) + 2))**2)*6. 3171*sqrt(17) + 180159 Simplify 6*(sqrt(700) + 1*sqrt(700))*3 + ((-5 + sqrt(252)*-1)*3)**2. 900*sqrt(7) + 2493 Simplify ((sqrt(612) - (sqrt(612) + (sqrt(612) - 1*sqrt(612))))*4 - (-3 + sqrt(612)*-3 + sqrt(612)))**2*6. 432*sqrt(17) + 14742 Simplify -3 + ((sqrt(363) + -1)*5)**2 + ((3*sqrt(576) + sqrt(36))/sqrt(12))**2. -550*sqrt(3) + 9604 Simplify -5*(sqrt(81)/(sqrt(18)/sqrt(6)))/((sqrt(9) - sqrt(54)/sqrt(6)*-5) + sqrt(9)). -5*sqrt(3)/7 Simplify (-5*(3*sqrt(153)*4 - 5*-3*sqrt(153)) + 4)**2. -3240*sqrt(17) + 2788441 Simplify ((sqrt(10) - (sqrt(10) - sqrt(40)/sqrt(4)))/sqrt(5) - sqrt(2)) + sqrt(16)/(-1*sqrt(8)) + -2*(sqrt(2) + -2*sqrt(242) + sqrt(242)). 19*sqrt(2) Simplify 4*(4*(sqrt(500) + 3)**2 + -3 + 6*(sqrt(5) + -2)). 984*sqrt(5) + 8084 Simplify (-5*-5*-2*sqrt(72)*4 + 4)**2. -9600*sqrt(2) + 2880016 Simplify (-2*(1 + sqrt(605)))**2 + (sqrt(605) + -1 - sqrt(605)) + -3 + (sqrt(605) + -1*sqrt(605))*-1 + 1 + 4. 88*sqrt(5) + 2425 Simplify (sqrt(180)/(sqrt(16)*5))/(sqrt(18)/(2*sqrt(2))*4)*1. sqrt(5)/20 Simplify ((1 + sqrt(19))*4*3 + -6*(-2 + 1 + sqrt(19)))**2. 216*sqrt(19) + 1008 Simplify (-2*(sqrt(104)*1 + sqrt(104) - sqrt(104)) + (sqrt(104) - -2*sqrt(104)*-4))/(sqrt(800) + -1*sqrt(800) + sqrt(8)*2*2). -9*sqrt(13)/4 Simplify ((2*sqrt(12))/sqrt(2)*-6)/((sqrt(18) + sqrt(450))/sqrt(6) - ((-1*sqrt(147) - sqrt(147)) + sqrt(3))). -12*sqrt(2)/19 Simplify (sqrt(1573)*3*-1 + sqrt(130)/(sqrt(1440) - sqrt(1440)*-1))**2. 8133853/576 Simplify 2*(-5 + 6*(-3 + sqrt(200) + 0)). -46 + 120*sqrt(2) Simplify (sqrt(500) - -2*(sqrt(500)*1 + sqrt(500)))**2 + (sqrt(500) - ((sqrt(500) + 0)*-6)**2) + 5*(sqrt(500) - (-1 + sqrt(500))) + 2*(sqrt(500) + -1)**2. -4493 - 30*sqrt(5) Simplify -4 + ((0 + sqrt(2057) - sqrt(2057)) + sqrt(2057) + 4 + 4 + -5)**2. 66*sqrt(17) + 2062 Simplify 2*((sqrt(2736) + -2*sqrt(2736))**2*3 + -1 + sqrt(2736) + 0). 24*sqrt(19) + 16414 Simplify ((-3 + sqrt(84)/(sqrt(72)/sqrt(6)))**2 - (1 + sqrt(112) + sqrt(112) + -1 + sqrt(112)))*-1. -16 + 18*sqrt(7) Simplify 4*(-
{ "pile_set_name": "DM Mathematics" }
4/40)? 4 What is ((-10)/300)/((-2)/(-6))? -1/10 What is the value of (-1)/(-2)*-2*2? -2 Calculate ((-65)/(-1625))/(3/10). 2/15 Calculate 3/2*(440/60)/22. 1/2 (-15)/3*18/30 -3 What is -6*(28/18)/7? -4/3 What is the value of -1*(24/6)/4? -1 What is ((-147)/(-35))/(-7)*1? -3/5 Evaluate 260/(-975)*(-30)/2. 4 Calculate 30/(-18)*9/(-20). 3/4 Evaluate 10/50*15*(-1)/(-2). 3/2 What is the value of (0/(-4))/(4/(-2))? 0 (1*-1)/(-4*10/(-120)) -3 (10/4)/((-280)/(-672)) 6 What is (-7)/(693/(-72))*(-1)/4? -2/11 What is ((-4)/40*2)/((-3)/10)? 2/3 4*-3*(-2)/12 2 ((-8)/4)/(3/9*-2) 3 Evaluate (24/(-12))/(2*-1). 1 Evaluate ((-6)/4)/((-320)/(-64)). -3/10 What is (63/(-6))/(-7)*(-12)/63? -2/7 Evaluate 12/1*1*15/80. 9/4 Evaluate (0/5)/(7/((-14)/(-4))). 0 Calculate 36/(168/14)*2. 6 What is the value of (-76)/(-1045)*5/(-2)? -2/11 What is the value of (6/(-4))/((-1)/8*6)? 2 Evaluate (-1)/(-20)*(-5)/(10/(-8)). 1/5 What is -1*5*1*31/(-31)? 5 Evaluate ((-1)/(-3))/1*6/(-16). -1/8 18/(-15)*60/18 -4 Calculate (6/12)/((-3)/4). -2/3 What is the value of 1*5*63/105? 3 Calculate (-1)/1*8/(-6)*3. 4 Calculate (-9*10/60)/((-30)/8). 2/5 What is (54/12)/(54/24)? 2 Evaluate (2*1/(-8))/(6/6). -1/4 What is the value of -3*6/27*306/(-68)? 3 Calculate (2/1)/((-24)/9). -3/4 What is (1/3)/(-15*4/36)? -1/5 What is the value of (-2)/4*(-54)/27? 1 (-7)/(14/(-8))*(-18)/(-120) 3/5 What is the value of 3*((-46)/115)/((-12)/(-70))? -7 What is ((-60)/(-320)*4)/(2/8)? 3 What is 2/(-3)*((-36)/(-8))/9? -1/3 (-4)/(-8)*2*1/1 1 Evaluate (132/(-44))/(1/(-3)). 9 What is (-4)/(-11)*(-1)/(-6)*-3? -2/11 What is -3*(-2)/(((-18)/1)/(-6))? 2 Evaluate 15/2*12*(-7)/(-126). 5 Calculate 22/33*(-6)/16. -1/4 Evaluate (-5)/2*(-23)/(-115). -1/2 Evaluate ((-266)/(-95))/(-4*2/20). -7 Calculate ((-1)/15)/(9*(-9)/(-486)). -2/5 Evaluate 8/(-30)*(30/(-4))/5. 2/5 What is the value of (((-7)/(-2))/(-7))/((-12)/(-144))? -6 What is the value of 20/36*(-18)/(-75)? 2/15 26/130*(-5)/2 -1/2 What is ((-2)/15)/(34/(-51))? 1/5 What is the value of ((342/(-20))/19)/(18/15)? -3/4 Calculate 2/12*9/(-126)*-21. 1/4 What is the value of 1*3/3*-1*2? -2 Evaluate 2/1*((-9)/(-24))/3. 1/4 (6/1)/(48/32) 4 Evaluate (1/2)/(10/80). 4 What is the value of (75/20)/(4*(-18)/96)? -5 What is (21/42)/(7/(-2))? -1/7 Calculate (-162)/(-45)*-5*(-3)/(-6). -9 3/2*64/(-96) -1 (16/40)/((-2)/(-20)*8) 1/2 ((-27)/36)/(21/(-8)*1) 2/7 What is the value of ((-32)/88)/(-1*2)? 2/11 Calculate 7*2*(-5)/(-20). 7/2 What is (-5)/15*-30*1/(-8)? -5/4 Calculate (87/58)/(2/4). 3 ((3/1)/6)/(17/170) 5 Evaluate (-145)/87*4/((-8)/(-6)). -5 What is (-2*1/3)/(6/27)? -3 What is -1*2*((-273)/(-12))/13? -7/2 2/(-40)*1/((-8)/16) 1/10 What is the value of 7/(-392)*-40*(-2)/5? -2/7 Evaluate 3/3*(-8)/(-20). 2/5 What is (21/(-28))/(9/(-84))? 7 Calculate 5/(15/(-9))*5/3. -5 Calculate -20*(-12)/(-18)*(-3)/8. 5 What is 15*(-6)/(-27)*3/(-2)? -5 What is the value of (-3)/(-2)*-1*(-16)/12? 2 ((-92)/(-23))/((-5)/(10/(-4))) 2 What is the value of 6*(-7)/252*(-8)/(-6)? -2/9 2/(-3*20/45)*2 -3 Calculate 3/(4*(-21)/(-112)). 4 What is the value of 1/(18/(-8))*4/(-8)? 2/9 (8/56)/(13/91) 1 What is (6*(-7)/35)/((-28)/20)? 6/7 Evaluate ((-3)/(-3))/((42/(-9))/2). -3/7 -1*3/15*-2 2/5 Calculate 0/((8/14)/((-2)/(-7))). 0 30/(-4)*88/(-132) 5 What is the value of (4/(-1))/4*3? -3 What is the value of (-6)/8*-1*4? 3 Calculate (4*(-6)/288)/((-5)/(-8)). -2/15 ((31/279)/(4/(-30)))/(-5) 1/6 Calculate (10/(-10))/((-2)/(-12)). -6 Calculate (-108)/126*7/(-2). 3 Evaluate ((-5)/(-30))/(2/8*-2). -1/3 40/(-20)*((-15)/(-2))/3 -5 What is the value of (1134/405)/(2/5)? 7 (-2)/28*72/(-18) 2/7 What is the value of (4/((-4)/(-3)))/3*-5? -5 Calculate (-5)/18*5/150*-9. 1/12 What is (-55)/22*18/15? -3 Calculate -3*(-66)/88*(-4)/6. -3/2 What is 198/(-110)*(-20)/(-4)? -9 Evaluate 6/2*-1*(-76)/228. 1 Evaluate (567/(-324))/((-14)/(-4)). -1/2 Calculate 9*((-30)/75)/(12/10). -3 (-12*5/70)/((-10)/(-70)) -6 What is the value of (2/(-15))/(((-99)/(-15))/11)? -2/9 What is the value of (-22)/33*18/(-4)? 3 What is the value of (-3)/((18/(-5))/(-6))? -5 What is the value of 18/(-42)*-1*1/1? 3/7 What is the value of 6/(-108)*(-1)/((-4)/12)? -1/6 What is ((-29)/(-696))/(1/(-3))? -1/8 What is ((-3)/5)/((-4)/((-40)/(-9)))? 2/3 Evaluate (-4)/(-60)*-5*-3. 1 Evaluate (12/9*9)/(36/(-18)). -6 Calculate ((78/12)/(-13))/((-1)/(-2)). -1 What is ((-4)/(-77))/((-13)/(1092/(-24)))? 2/11 What is (1/(-4))/(42/48)? -2/7 What is (-6)/12*1*6? -3 Calculate ((-20)/10)/(7/14). -4 What is the value of ((-4)/(-1)*(-2)/(-28))/2? 1/7 What is the value of 5/60*-3*7/(-21)? 1/12 Calculate (-1)/((-9)/18)*(-6)/4. -3 Calculate 40/170*2/4. 2/17 Evaluate ((-11)/((-165)/4))/((-8)/36). -6/5 (-40)/570*12/(-8) 2/19 What is -4*((-4)/(-16))/(5/(-20))? 4 What is 18/2*(-1)/(-3)? 3 What is the value of 6/52*15*6/135? 1/13 What is 1/3*-1*(-27)/63? 1/7 (-3)/(-8)*(-148)/(-222) 1/4 What is the value of 2/3*(1104/(-224))/23? -1/7 (-90)/(-6)*24/60 6 What is the value of (52/(-65))/(((-1)/(-1))/(-5))? 4 Calculate 15/6*(-12)/6. -5 What is the value of ((-56)/(-7))/(-24)*3? -1 15/(-5)*9/(-27) 1 (-16)/(-12)*(-6)/(-52)*-1 -2/13 30/(-12)*12/5 -6 Calculate ((-6)/(-21))/(7/147). 6 Calculate (33/220*5)/(42/16). 2/7 Evaluate ((-135)/(-270))/(1*10/12). 3/5 What is the value of 6/(-261)*7/(77/33)? -2/29 Calculate (-10)/(-4)*((-36)/(-30))/3. 1 What is the value of (8/(-30))/(-4)*-6? -2/5 Evaluate 3/18*(48/(-9))/2. -4/9 What is (12/10)/(((-308)/(-55))/14)? 3 What is (-2)/8*9/((-54)/6)? 1/4 Calculate 28/8*24/(-42)*1. -2 Evaluate ((-2)/(-6))/((-7)/(-126)). 6 Evaluate 7/((-735)/18)*40/(-12). 4/7 Evaluate 15*2/((-70)/(-21)). 9 What is (16/(-80)*-7)/((-1)/5)? -7 Evaluate (-18)/33*-22*(-6)/8. -9 What is 5/(-60)*3*(-10)/(-2)? -5/4 What is (-1*12/21)/(-2)? 2/7 What is the value of 3/(-117)*-18*(-2)/6? -2/13 (3*(-6)/45)/(20/(-25)) 1/2 Evaluate (2/8)/((-28)/32). -2/7 What is (-386)/579*12/(-2)? 4 (-34)/(-170)*(0/2)/(-2) 0 What is the value of ((1/3)/1)/(1780/(-1335))? -1/4 What is 6/(88/(-33)*27/(-48))? 4 What is the value of (0*(-9)/90)/(-6)? 0 What is the value of ((-22)/(-385))/(((-2)/10)/1)? -2/7 ((5/(-2))/5)/(1/(-6)) 3 What is 8/(-2)*4/8? -2 Calculate ((13/13)/(-1))/((-1)/(-4)). -4 Evaluate (32/(-40))/((-2)/(-15)). -6 What is the value of 4*(5/(-2))/((-210)/63)? 3 4*1*(36/(-6))/24 -1 Calculate (42/105)/((-2)/(-2)*2). 1/5 What is 10/4*70/(-35)? -5 What is the value of (((-40)/(-12))/1)/(2/3)? 5 Calculate (-2)/(-3)*-9*5/15. -2 Evaluate (-37)/(-37)*(-2)/26. -1/13 (-1)/((105/9)/(-7)) 3/5 What is ((-3)/(-39))/(((-3)/3)/2)? -2/13 What is 2*(-2)/9*-9? 4 What is (-70)/12*((-4)/(-14))/(-1)? 5/3 Calculate -10*1*(-7)/((-56)/8). -10 ((-171)/(-228))/(2*3/4) 1/2 6/(-4)*(-30)/(-9) -5 What is the value of (2/(-2))/(3*2/(-6))? 1 What is the value of (-2)/10*82/(-164)? 1/10 What is the value of ((-15)/(-80))/1*2? 3/8 What is the value of (-24)/18*3*(-4)/48? 1/3 What is the value of (-3)/((-144)/6)*3? 3/8 Evaluate (-4)/(-6)*(-180)/60. -2 What is the value of 3/(-4)*(119/(-21))/17? 1/4 What is the value of ((-4)/(-5))/(14/5)? 2/7 Calculate ((-11)/(825/10))/(24/(-108)). 3/5 What is the value of (((-64)/(-4))/8)/(-2)? -1 What is the value of ((-15)/15)/(2/((-6)/(-3)))? -1 What is (-1)/(4/8*10)? -1/5 What is the value of 2/((-4)/(9/((-27)/6)))? 1 What is the value of (5/3)/((-42)/(-63))? 5/2 Evaluate (18/9)/(4/(-3))*2. -3 Calculate 4/(-1)*(6/(-40))/(-1). -3/5 What is (3/(-6)*-2)/(24/6)? 1/4 What is ((-4)/5)/(3/15)? -4 (220/(-66))/((-4)/(-6)) -5 Calculate ((130/50)/(-13))/(-1). 1/5 Evaluate ((-105)/(-875))/(2*(-1)/10). -3/5 What is the value of (2/(-9))/((-44)/99)*-8? -4 (-5)/6*(-153)/170 3/4 Calculate (-10)/(-25)*11/(-22). -1/5 (6/(-68))/(9/(-12)) 2/17 (-27)/30*(-80)/24 3 Evaluate ((-76)/24)/(-19)*-3. -1/2 Calculate (-8)/(-54)*12/(-8). -2/9 Calculate (-11)/(198/3)*4. -2/3 (2/(-8))/(63/224*4) -2/9 Calculate ((-72)/84)/(9/(-21))*-2. -4 ((-84)/196)/((-1)/(-1)) -3/7 What is 3/((20/(-4))/5)? -3 -6*-3*(-3)/351 -2/13 What is (-45)/(-30)*1/2? 3/4 What is the value of (-54)/(-36)*2/(-3)? -1 Evaluate 7/105*12/4. 1/5 Evaluate (-1)/(5/(-20)*14). 2/7 Calculate (18/15)/(2/5). 3 Calculate 2*5/(70/(-7)). -1 What is ((-1)/3)/(13/(-26))? 2/3 (1/(-18))/((-1)/(-16)*-4) 2/9 Evaluate 2/(-5)*(-6)/(-4). -3/5 What is 6/((36/16)/(6/4))? 4 ((-10)/(-40))/((-6)/8
{ "pile_set_name": "DM Mathematics" }
ence ga. 1/182 Calculate prob of sequence aaa when three letters picked without replacement from vvivvvlvvvva. 0 Calculate prob of sequence nyyz when four letters picked without replacement from bybbynybuynbnubzunb. 1/1938 Three letters picked without replacement from ohhhoth. What is prob of sequence oth? 4/105 What is prob of sequence bxxx when four letters picked without replacement from xbxbbxx? 3/35 Three letters picked without replacement from xexxxexfxyyefxxx. What is prob of sequence yfx? 3/280 What is prob of sequence gg when two letters picked without replacement from uggggggugg? 28/45 What is prob of sequence ej when two letters picked without replacement from {s: 4, p: 11, j: 1, h: 2, e: 1}? 1/342 Calculate prob of sequence dtdt when four letters picked without replacement from dsdsttss. 1/420 Three letters picked without replacement from llhlbkllhlccbhk. What is prob of sequence blc? 4/455 Two letters picked without replacement from {i: 4, k: 2}. What is prob of sequence ii? 2/5 What is prob of sequence vvv when three letters picked without replacement from {v: 5, o: 14}? 10/969 Four letters picked without replacement from ttttkkktttkttktktt. Give prob of sequence ttkk. 11/204 Four letters picked without replacement from vvqttvqott. What is prob of sequence vqtq? 1/210 Four letters picked without replacement from {q: 8, l: 3}. What is prob of sequence qlqq? 7/55 Calculate prob of sequence zc when two letters picked without replacement from cczzczrzzrczy. 2/13 Calculate prob of sequence bmm when three letters picked without replacement from bmmmbxmxmxxxxxxbmm. 7/272 Four letters picked without replacement from {g: 1, v: 1, r: 1, n: 1, t: 1}. What is prob of sequence ntgr? 1/120 Two letters picked without replacement from wjijicjyikc. What is prob of sequence cc? 1/55 Calculate prob of sequence fak when three letters picked without replacement from affffakfffkff. 3/143 Four letters picked without replacement from {x: 4, o: 6, h: 3}. What is prob of sequence xxxx? 1/715 Four letters picked without replacement from {t: 4, e: 4, o: 3, d: 4}. What is prob of sequence dote? 8/1365 Four letters picked without replacement from jeejejjjjnyyej. What is prob of sequence jjjn? 5/572 Two letters picked without replacement from woowooooowwoooooowoo. Give prob of sequence oo. 21/38 Calculate prob of sequence thb when three letters picked without replacement from {j: 1, h: 1, r: 2, u: 1, b: 2, t: 1}. 1/168 Calculate prob of sequence eehv when four letters picked without replacement from {x: 5, v: 1, h: 1, i: 1, e: 3, c: 3}. 1/4004 Four letters picked without replacement from iiditdiiidtddjddi. Give prob of sequence ttid. 7/4080 What is prob of sequence tvt when three letters picked without replacement from {t: 1, v: 7}? 0 Three letters picked without replacement from tuycmccmlcmcy. What is prob of sequence myt? 1/286 What is prob of sequence wb when two letters picked without replacement from ssbqvbowoosboqsqossb? 1/95 Three letters picked without replacement from kkkkknnkkknkknknkkn. What is prob of sequence nkk? 52/323 Calculate prob of sequence bq when two letters picked without replacement from {b: 2, q: 2, h: 1, w: 4}. 1/18 What is prob of sequence qzgg when four letters picked without replacement from {g: 3, z: 3, e: 6, q: 1}? 3/2860 What is prob of sequence nfn when three letters picked without replacement from {n: 3, f: 2}? 1/5 What is prob of sequence cgx when three letters picked without replacement from cggxgcggcvxx? 3/88 Three letters picked without replacement from kkkkjdxelkeexkdeee. What is prob of sequence xjl? 1/2448 Calculate prob of sequence qnl when three letters picked without replacement from nqgrl. 1/60 What is prob of sequence ff when two letters picked without replacement from {f: 10, i: 2}? 15/22 What is prob of sequence xnff when four letters picked without replacement from {n: 2, x: 2, f: 9}? 12/715 Calculate prob of sequence sss when three letters picked without replacement from {s: 3, f: 2, a: 6, v: 1}. 1/220 Three letters picked without replacement from {i: 1, x: 1, f: 3, t: 1, c: 1}. Give prob of sequence icf. 1/70 Three letters picked without replacement from {y: 1, b: 1, o: 3, s: 2, p: 3}. Give prob of sequence opb. 1/80 Calculate prob of sequence irwu when four letters picked without replacement from {t: 1, b: 1, r: 5, i: 1, w: 10, u: 1}. 25/46512 Two letters picked without replacement from {w: 4, i: 7, b: 3}. What is prob of sequence bw? 6/91 Calculate prob of sequence oo when two letters picked without replacement from acccacccoaocaacca. 1/136 What is prob of sequence bzbb when four letters picked without replacement from zbbbbbzbbbbzzb? 120/1001 What is prob of sequence lp when two letters picked without replacement from {l: 1, p: 2, c: 1, j: 1}? 1/10 What is prob of sequence srri when four letters picked without replacement from sssiyybssbryssyrrysi? 4/4845 Three letters picked without replacement from {l: 1, f: 6, o: 4, h: 3}. Give prob of sequence oof. 3/91 Two letters picked without replacement from tauuibbbiiaaiaabyaab. What is prob of sequence tb? 1/76 Two letters picked without replacement from aesaeaaaaas. Give prob of sequence ea. 7/55 Three letters picked without replacement from fdsdftfrtfrksrd. What is prob of sequence ttr? 1/455 Calculate prob of sequence hyzg when four letters picked without replacement from vzvvvhgzvvyz. 1/3960 Calculate prob of sequence zqf when three letters picked without replacement from {s: 6, q: 1, z: 5, g: 1, f: 1}. 5/2184 Two letters picked without replacement from {b: 2, q: 5, h: 2, f: 2, y: 1, x: 1}. Give prob of sequence ff. 1/78 Two letters picked without replacement from knrqbonb. Give prob of sequence rn. 1/28 Two letters picked without replacement from {v: 1, u: 1, f: 1, b: 1, g: 1}. Give prob of sequence gb. 1/20 Three letters picked without replacement from eeeeaaaavvaa. Give prob of sequence ava. 1/22 Two letters picked without replacement from {b: 3, t: 1}. Give prob of sequence tb. 1/4 What is prob of sequence dgl when three letters picked without replacement from dldzllddlldgllzldgl? 6/323 What is prob of sequence tt when two letters picked without replacement from {t: 3, d: 2}? 3/10 Calculate prob of sequence nbf when three letters picked without replacement from {b: 5, n: 5, d: 1, l: 6, f: 2, m: 1}. 5/684 Calculate prob of sequence uuub when four letters picked without replacement from uuubbbuuubbbuubu. 21/260 Three letters picked without replacement from {v: 3, f: 9}. What is prob of sequence ffv? 9/55 Three letters picked without replacement from bgggggggbgbg. Give prob of sequence bgb. 9/220 What is prob of sequence yye when three letters picked without replacement from yyeeeeeeeeeyyeyyeye? 28/323 Two letters picked without replacement from tkatalaallkklt. Give prob of sequence al. 8/91 Calculate prob of sequence mlo when three letters picked without replacement from mlmooooooooooomo. 3/280 What is prob of sequence ll when two letters picked without replacement from llwwllw? 2/7 Two letters picked without replacement from {a: 4, t: 1, v: 4, i: 1}. What is prob of sequence it? 1/90 Three letters picked without replacement from gki. What is prob of sequence kgi? 1/6 What is prob of sequence hg when two letters picked without replacement from ghgggghgghgghggggh? 65/306 Calculate prob of sequence qdr when three letters picked without replacement from {z: 1, q: 2, d: 5, w: 1, r: 1}. 1/72 Two letters picked without replacement from {a: 1, g: 1, c: 1, s: 3, n: 1}. What is prob of sequence ac? 1/42 What is prob of sequence xmm when three letters picked without replacement from yppmpmpmpmxmmmmmppm? 5/323 Calculate prob of sequence odd when three letters picked without replacement from {d: 5, s: 2, o: 3}. 1/12 Four letters picked without replacement from uuuuuuuquuquuuuuuuuu. Give prob of sequence uquu. 8/95 Two letters picked without replacement from {w: 1, r: 3}. What is prob of sequence wr? 1/4 Two letters picked without replacement from wdwe. Give prob of sequence de. 1/12 Two letters picked without replacement from {p: 5, c: 4, n: 5}. Give prob of sequence cc. 6/91 What is prob of sequence aa when two letters picked without replacement from arirqca? 1/2
{ "pile_set_name": "DM Mathematics" }
+ 104*x**2 + 1024*x + 8. What is the lowest common multiple of w(-8) and f? 56 Calculate the common denominator of ((-70)/(-105))/((-200)/(-36)) and 18/655. 3275 Suppose -n = -3*u + 436, 4*u - 7*u = -3*n - 444. Suppose 0*g - u = -18*g. What is the lowest common multiple of g and 14? 56 Suppose 2*i + 19 = 3*l - 38, 60 = 3*l - 3*i. Suppose 0 = -10*q + l*q - 238. What is the least common multiple of 6 and q? 102 Let j = -37 + 41. Let l(m) = 2*m**2 + 8*m - 14. Let o be l(j). Suppose -5*v = -10*v + o. What is the smallest common multiple of 34 and v? 170 Let v be (-20900403)/(-560) - 2/(-10). Let a = 37322 - v. Calculate the common denominator of a and -83/28. 112 What is the smallest common multiple of 3 and 11 + (-9 - -18) + -10? 30 Let c = 2/6649 + 751289/159576. Find the common denominator of c and 101/4. 24 What is the common denominator of 34/(-10704)*-2186 + 91/(11 - 24) and 45/14? 18732 Suppose 0 = -3*k + 5*u + 173, 139 - 245 = -k - 8*u. Calculate the lowest common multiple of 423 and k. 9306 Suppose 19*w = 250*w - 7*w - 10304. What is the common denominator of w and -62*(2 + (-3513)/1758)? 293 Suppose 102*b - 270 = 97*b. Suppose 8*l - 10 = 3*l, 5*l = -4*p + b. Calculate the least common multiple of 19 and p. 209 Let x(v) = 84*v**2 + 7*v + 14. Let y be x(-5). Let s = y + -31216/15. Calculate the common denominator of (-138)/(-16) - (-2 + 0) and s. 120 Let s be (-1)/((-1)/12)*(-22)/3. Let u = 89 + s. Find the common denominator of 103/6 and (2 + 408/(-32))/(u/2). 6 Find the common denominator of -73/1780 and (3776/(-112) - -24) + 1*4. 12460 Let m(g) = -g**3 + 33*g**2 + 36*g - 52. Let c be m(34). Suppose -4*p + c*z - 15*z = -175, -4*z = 5*p - 245. Calculate the smallest common multiple of 39 and p. 585 Let q be (198166/5)/(4 + -1 - -3). Let n = q + -6601. Calculate the common denominator of 43/33 and n. 165 Let w(t) = 7*t - 5. Let q be w(-13). Let k be ((-1)/1)/(4/q*2). Suppose 2*h - k*h + 360 = 0. What is the least common multiple of h and 8? 72 Let u = -12151/6 + 2008. What is the common denominator of u and 2/(-18) - ((-468)/6480 - (-2)/(-5))? 36 Let y(v) = 4*v**2 - 22*v - 126. What is the lowest common multiple of y(-12) and 24? 2856 Let l be (289482/27)/((-8464)/(-4)). Let r = l + -6/529. Find the common denominator of -143/12 and r. 36 Let r(p) = 11900*p**3 + 28*p**2 - 29*p + 2. What is the lowest common multiple of 9 and r(1)? 35703 Let y = 632959319/24 - 26359509. Let q = 13801 - y. Calculate the common denominator of q and -75/8. 24 Let x(p) = -23*p - 16*p + 61*p + 4*p**2 - 18*p + 0*p**2. Calculate the lowest common multiple of 18 and x(-3). 72 Calculate the common denominator of 463/396 - (8 + 152/(-18)) and (430/(-150))/(8/10). 132 Let a = 32458 + -163387/5. Let w = 30481/140 + a. What is the common denominator of -7/16 and w? 112 Let g(q) = -q**3 + 7*q**2 + 3*q - 9. Let b be g(7). What is the common denominator of (-8)/b + (-2)/(120/(-694)) and (-2)/12 - 94/(-36)? 90 Let x be -1 - ((1 - 1) + 0/8). Let z be ((-64)/388)/x - 0. Let c = 1705/5044 - z. Calculate the common denominator of c and -77/6. 156 What is the common denominator of -95/96 and (100/(-55) + (-30)/165)*(-23)/144? 288 Let l = -1/38656 - -1295067/3517696. What is the common denominator of l and -55/78? 546 Let v = 4718557/6 - 788362. Let d = v + 1944. Find the common denominator of 121/102 and d. 102 Let z(w) = -12*w**2 - 10*w - 18. Let y be z(-5). Let x = -258 - y. Calculate the lowest common multiple of x and 8. 40 Let n = -63959/3412 + -4/853. Suppose 3*s + 148 = 4*v, 4*v - 22 = 3*v - 3*s. Find the common denominator of 2 + 4 + -7 + v/(-36) and n. 36 Suppose 0 = 4*p + 9*w - 7*w - 1256, -4*p = -5*w - 1228. What is the smallest common multiple of 132 and p? 3432 Suppose -81*l + 11582 + 248833 = 0. Calculate the smallest common multiple of l and 9. 28935 Suppose 0 = p - 2*w + w - 2507, -5*p = -4*w - 12540. Let t = -45245/18 + p. What is the common denominator of t and 35/74? 666 Let h be (88/(-12) - -7)*(2 + -35). Suppose 3*v - h = 70. Suppose 0 = 2*d - 7*d + 15. Calculate the least common multiple of v and d. 27 Let u = 5223 + -5207. Let q(r) = 16*r**2 - r. Let b be q(1). What is the least common multiple of u and 1/(0 + 1) + b? 16 Suppose -2*k - 2*h + 126 = 0, -2*k + 163 - 36 = h. Calculate the smallest common multiple of 448 and k. 448 Let l(f) = f - 11. Suppose -14*p = -19*p - 35. Let i be l(p). Let w = 38 + i. What is the smallest common multiple of w and 4? 20 Suppose -9*n = 2*b - 12*n - 34, 0 = -3*b - n + 40. Suppose -14*h = -5*c - 10*h + 299, -5*h = -20. Calculate the lowest common multiple of c and b. 126 Let g be (5 - (-1 - -1))*24/40. What is the common denominator of 19/32 and g + -6 + (-1020)/(-352)? 352 Let a(h) = 250*h**3 + h**2 - 5*h + 4. Let p be a(1). Suppose -p + 68 = -26*y. Let n = 18 - 8. Calculate the least common multiple of y and n. 70 Let t(z) = 2*z**3 + 73*z**2 - 38*z + 75. What is the lowest common multiple of t(-37) and 384? 2688 Suppose -3*f + 9 = d, -d + 11 = -28*f + 33*f. What is the lowest common multiple of f and 281? 281 Suppose -4*y + 11972 = -2*i, -2995 = -6*y - 5*i + 15011. Calculate the lowest common multiple of 16 and y. 11984 Find the common denominator of 18/2783 and (-99127)/(-74382)*8/7 + (-9)/6. 16698 Let o = -5/917 - -94501/9170. Let t = -212416/5 - -41737. Let x = t + 740. What is the common denominator of x and o? 10 Let l(c) = -2*c**2 - 27*c + 102. Let r be l(-14). Suppose -2*q - 64 = -3*q. Let s = r - q. Calculate the least common multiple of s and 30. 120 Suppose 9 = 30*s - 29*s. Suppose -5*z + 796*g - 791*g = -1875, -5*g + 1482 = 4*z. Calculate the lowest common multiple of z and s. 3357 What is the least common multiple of 835 and (-10075)/(496/(-16)) + 9*1? 1670 Let o = 1365555/76 + -17967. Let l = 23/96 - 29/24. Find the common denominator of o and l. 608 Find the common denominator of -49/2960 and (-4 + (-657)/(-165))*(1 - 94/(-4)). 32560 Suppose 0 = -77*g + 1340 + 970. Calculate the lowest common multiple of g and 192. 960 Let v = -18/721 - 5959/12978. Let c = -8632278/77 - -112107. Calculate the common denominator of v and c. 1386 Let v(n) = 2*n + 1. Let p be v(-1). Let o = -6212/429 + 21/143. Calculate the common denominator of o and (2/(4/(-29)))/p. 6 Find the common denominator of (-166)/(-16)*2/(-8)*-2 and -2 - (16/104 - (-2102)/(-312)). 48 Let u be -1 + (-1 - 0) + 6. Let d = 4986 - 4983. Suppose d*h - 91 = u*n, -3*n - n + 140 = 4*h. What is the smallest common multiple of h and 21? 231 Suppose k - 206 = -231 + 529. What is the least common multiple of k and 42? 504 Let t be (5 - -1)/(2 + (-3136356)/1568022). Let x = t - -30158. Let n = -330 + 1052/3. Find the common denominator of x and n. 78 Find the common denominator of (-20)/(-24) + 3230/(-4256) and 57/28. 336 Let z = 608 - 593. Let g(h) = h**2 - 11*h - 54. What is the least common multiple of g(z) and 252? 252 Let s be -4 - 39/(-6)*8. Let g = 102 - s. Let k = -36 + g. What is the smallest common multiple of k and 90? 90 Let u = -5695 - 2337. Let t = -144631/18 - u. Find the common denominator of t and 110*(5/8)/5. 36 Suppose 12*m + 27 = 99. Let h be (-2)/(-4)*(-27)/(-2). Let p = m - h. Calculate the common denominator of -95/6 and p. 12 Let q be 8*(5/(-10) - 1). Let g = 41 + q. Let c = g + -23. Calculate the lowest common multiple of 20 and c. 60 Suppose 0 = -7*i + 4*i + 60. Let r = 0 + i. Let h(d) = 2*d - 32. Calculate the least common multiple of 80 and h(r). 80 Suppose -r + b = -35, 2*b = 3*r + r - 148. Suppose -3*w = -0*w + r. Calculate the common denominator of 40*(-1 + 0 + 13 + w) and -41/9. 9 What is the common denominator of -101/584 and ((-2076)/(-99) + -21)/((-4)/618)? 6424 Suppose -7*c + 6*o + 64 = 8*o, 5*o + 15 = 0. Calculate the lowest common multiple of c and 2742. 13710 Suppose 4*x - 29 - 7 = 0. Let h(z) = 2*z + 21. Let q(t) = -t - 1. Let d(i) = h(i) + q(i). Calculate the smallest common multiple of d(-8) and x. 36 Let x = 189 + -314. Let w = x + 143. What is the smallest common multiple of w and 16? 144 Let y be -5 - 64/(-12) - (-408)/(-9). Let c = y - -49. Suppose i = -5*f - 0*i + 56, -f = c*i - 15. Calculate the lowest common multiple of 27 and f. 297 What is the common denominator of ((-630)/15552)/(52/(-78)) and 65/864? 1728 Su
{ "pile_set_name": "DM Mathematics" }
be (5 + -3 + -1)*2. Suppose 2*a = -w*k + 8 + 54, 5*k - 162 = 2*a. What is the greatest common divisor of 80 and k? 16 Let k(h) = h**3 - 3*h**2 - h - 5. Let y be k(4). Let u(o) = 4*o**2. Let s be u(-1). Suppose -s*c - 14 = -6*c. What is the greatest common divisor of y and c? 7 Suppose v - 14 = -4. Calculate the greatest common factor of 30 and v. 10 Let v(d) = -10*d**3 + 2*d**2. Let g be v(-2). Suppose -7 + 26 = 2*q + s, -5*q - s = -52. What is the greatest common factor of q and g? 11 Let o = 4 + -9. Let r be ((-4)/o)/(5/150). Let l(j) = j**2 + 2*j + 1. Let y be l(-7). What is the highest common divisor of r and y? 12 Let q(u) = 3*u - 5. Let a be q(6). Let w be (-1 + 0)*(-2)/(-2). Let t be -117*(w - (-1 + 1)). What is the greatest common divisor of t and a? 13 Let o(t) = -t**3 + 8*t**2 + 10*t - 6. Let c be o(9). Suppose 48 = c*p - 0. Suppose 0*s - s + p = 0. Calculate the highest common divisor of 40 and s. 8 Suppose -31*l + 34*l - 33 = 0. What is the greatest common factor of l and 11? 11 Let y(j) = -j**2 + 6*j + 3*j**2 - 3*j**2 + 9. Let b be y(7). Calculate the highest common divisor of 4 and b. 2 Suppose -4*i + 2*l = 4*l - 24, -l = 4*i - 28. Suppose -10*r = -i*r - 26. What is the greatest common divisor of r and 104? 13 Suppose -2*v + 291 = -o, -v = -2*o + 6*o - 132. What is the highest common factor of 16 and v? 16 Let r(w) = w**3 - w + 135. Let j be r(0). Suppose j = 5*v + 5*n, 3*v - n - 59 = 10. Calculate the greatest common factor of v and 60. 12 Let i be -3*1/3*(-138)/6. What is the greatest common divisor of i and 115? 23 Suppose -3*d + 11 = -0*b - b, -2*b - 16 = -3*d. Let r(c) = 7*c**3 - 3*c**2 + 2*c + 2. Let i be r(d). What is the highest common factor of 10 and i? 10 Let k be (2/(-3))/((-3)/18). Let x(l) = 4*l - 2. Let p be x(-6). Let m = p - -38. Calculate the highest common factor of m and k. 4 Let l = 14 + -10. Suppose 3*d - l*d - g + 3 = 0, -g = 2*d - 7. Suppose -2*c = -d - 86. Calculate the greatest common divisor of c and 9. 9 Suppose 3*o = g - 48, o = 3*g - 142 - 2. Calculate the greatest common factor of g and 32. 16 Let o(q) = 14*q**3 - 5*q**2 + 10*q - 2. Let p be o(2). Let j = 3 + -3. Suppose 5*f + l = -2*l + 119, j = l - 3. What is the highest common factor of p and f? 22 Let f be -1*(-132 - (-6)/3). Suppose -2*z - f = -7*z. Calculate the highest common factor of 39 and z. 13 Let s(g) = -g**3 - 15*g**2 + 15*g - 15. Let j be s(-16). What is the highest common factor of 7 and j? 1 Let q = 560 + -196. Let s be (-2)/6 + q/21. What is the greatest common factor of s and 68? 17 Suppose 3*c + c - 36 = 0. Let p(x) = x**3 - 4*x**2 + 7*x - 7. Let z be p(7). Suppose -2*f = f - z. Calculate the highest common divisor of f and c. 9 Suppose 11 = v - 24. Suppose -20 + 50 = -5*y. Let t be ((-42)/8)/(y/16). Calculate the highest common factor of v and t. 7 Let v(l) = 2*l**3 - 6*l**2 - 5*l. Let c be v(4). What is the greatest common factor of 8 and c? 4 Let j = 31 + -15. Let g(o) = -o**3 + o**2 - o + 40. Let p be g(0). What is the greatest common factor of p and j? 8 Suppose 5*t - 2*n = 53, 2*n = -5*t - 0*n + 57. What is the highest common divisor of 88 and t? 11 Let u be 2/(-1 + 7/6). Let g(f) = -2*f + 4 - 1 + f. Let l be g(-9). Calculate the greatest common divisor of u and l. 12 Let h(p) = 0 - 2 - p - 5*p - 2. Let f be h(-8). What is the greatest common divisor of 66 and f? 22 Suppose -52 = -4*m + 4*v, -2*m + 2*v - 4*v + 14 = 0. Let s be (-6)/15*(-1 - 199). What is the greatest common divisor of s and m? 10 Let l be 0 + 1 + 156/6. Let k = l - -36. Suppose -k = -z - 2*z. What is the greatest common divisor of 84 and z? 21 Suppose -3*n = 2*n + w - 50, n - 14 = -w. Suppose 3*x = 3*f - 93, -3*x + 0 = -n. Let h = -6 + f. What is the greatest common divisor of 7 and h? 7 Let r be 5*((2 - -1) + 0). Suppose -v + r + 6 = 0. What is the greatest common factor of v and 147? 21 Let k(w) = -6*w + 3. Let y = 4 - 1. Let s be k(y). Let c = 31 + s. Calculate the greatest common divisor of c and 48. 16 Let w(n) = 9*n + 5*n**2 + 5 - 3*n - n**2. Let p be w(5). Suppose -35 = 5*m - p. Calculate the greatest common factor of 30 and m. 10 Let f be 1/(-2) - (-30)/(-4). Let s = f - -13. Suppose -i + s*d = -58, -i - d + 65 = d. Calculate the highest common factor of 21 and i. 21 Let u = 32 + 45. Let l = -24 - -35. Calculate the highest common divisor of u and l. 11 Suppose -49*o = -47*o - 36. What is the greatest common factor of o and 36? 18 Let i be 2/(-4) - 1/(-2). Suppose -o + 10 = -i*o. Calculate the highest common divisor of o and 110. 10 Suppose -9 = -3*o - d, -3*o - 2 = 2*o - 4*d. Let p be 1/(-2) - (-3)/o. Let j = 39 + -28. What is the highest common divisor of j and p? 1 Suppose -3*r + 0*r = -63. What is the greatest common factor of r and 189? 21 Suppose -2*m + 3*m - 72 = 0. Calculate the greatest common divisor of m and 24. 24 Suppose 113 = 3*j - 5*o, -j + 3*o = 2*j - 111. Calculate the highest common factor of 9 and j. 9 Let m = 4 - -1. Suppose 0*i - 5*i = 4*l - 411, 0 = -3*l - m*i + 312. Suppose -f = 2*f - 33. What is the greatest common factor of f and l? 11 Let v be (-158)/(-14) - (-8)/(-28). Suppose 2*s - 2*a - 79 = -5*a, 0 = -s - 4*a + 32. Calculate the highest common factor of s and v. 11 Let u = 1105 + -692. Suppose 3*p + 1829 = 5*s + u, 0 = s - p - 282. Let t = s + -125. Calculate the highest common factor of 20 and t. 20 Let q(p) be the first derivative of -p**2/2 + 57*p - 1. Let y be q(0). What is the greatest common divisor of y and 38? 19 Let i(c) = c**2 - c - 28. Let x be i(12). Calculate the greatest common factor of 13 and x. 13 Suppose -3*z - 32 = -11*z. What is the highest common factor of z and 68? 4 Suppose 2*u + 19 = 2*i + 3*u, -31 = -2*i - 5*u. Let o = -26 + 80. Suppose 0 = 2*m - 5*z - o, 0 = 5*z - 5 - 5. What is the highest common divisor of m and i? 8 Let c = -6 + 35. Let v(m) = 8*m**3 + m**2 + m + 4. Let y be v(3). What is the highest common divisor of c and y? 29 Let n(c) = 2*c**2 - 5*c + 14. Let t = -20 + 26. Let s be n(t). Calculate the highest common divisor of 7 and s. 7 Suppose -q - 3*q = 4*r - 8, 5*r - 5*q - 20 = 0. Suppose -15 = -3*n - r*p, -5*p + 17 + 0 = n. What is the highest common factor of n and 14? 2 Suppose -21 = 3*l - 111. Suppose 0 = -2*s + 44 - 4. Calculate the highest common factor of l and s. 10 Let q(p) = -p**3 - p**2 + 2*p + 24. Let g be q(0). Calculate the greatest common divisor of g and 60. 12 Let u = -5 + 9. Let j be (-4)/(u/(-49)) + -1. Let s be (j/10)/(9/30). What is the highest common divisor of s and 16? 16 Let o(p) = 3*p**2 - 2*p + 1. Let m be o(1). Suppose h = 11 - m. Calculate the greatest common divisor of 36 and h. 9 Let c be ((-10)/50)/(2/(-130)). Calculate the greatest common divisor of c and 39. 13 Let z = -15 + 23. What is the highest common divisor of z and 64? 8 Let p be (3 + 107)/((-2)/(-2)). Let i = -12 + 22. What is the greatest common factor of i and p? 10 Suppose 0 = -r + 61 + 7. Suppose 0 = -3*u - 2*u - 2*q + 352, r = u + q. What is the greatest common factor of 9 and u? 9 Let p be (2 - 1/1)/(-1). Let a be 6 + p/(1 + 0). Suppose 4*v - v - 67 = -a*c, 25 = 5*c. What is the highest common factor of v and 35? 7 Suppose -3*r + 0*r + 4*f = -14, -7 = -4*r + 3*f. Let c be 4 - (-12)/(6 + r). Calculate the greatest common divisor of c and 42. 7 Suppose -t = -6 - 12. Suppose -3*r + 0 + t = 0. Let j be (78/4)/(r/8). Calculate the highest common divisor of j and 39. 13 Let z = -13 + 18. Let f(s) = 3*s**2 - 7*s. Let w be f(z). Suppose 0 = c + 3*c - w. Calculate the greatest common divisor of c and 25. 5 Let r = -1 + 8. Suppose 3*z + r = 28. Let k = 55 + -27. What is the highest common divisor of z and k? 7 Suppose 3*n - 27 = -5*p + 2*p, 2*n + 2 = 2*p. Suppose -5*a = -a + 60. Let t be a/(-10) - 53/(-2). What is the highest common divisor of n and t? 4 Let a be 2*1/(2/4). Let u be (a - 1)/((-2)/(-160)). Calculate the highest common divisor of 30 and u. 30 Let p be 9 - 2*(0 + -1). Let y = 15 - p. What is the highest common factor of y and 1? 1 Let l be ((-2)/(-4))/(1/44). Suppose 5*o - 3*s + 10 = 0, -s - s = 3*o + 25. Let j be (6/(-15) + 0)*o. Calculate the highest common factor of j and l. 2 Let v(f) = -4*f + 2. Let x be v(-3). Suppose 0*z + 49 = 7*z. Calculate the greatest common factor
{ "pile_set_name": "DM Mathematics" }
0? 2, 48 Solve -2*i**4/15 - 58*i**3/15 - 34*i**2/5 + 54*i/5 = 0 for i. -27, -3, 0, 1 What is l in -2*l**5/9 - 4*l**4/3 - 2*l**3/3 + 92*l**2/9 + 24*l + 16 = 0? -3, -2, 3 Let -17*u**5/2 + 16*u**4 - 13*u**3/2 - u**2 = 0. Calculate u. -2/17, 0, 1 Solve -36*f**5 - 80*f**4 + 20*f**3 + 80*f**2 + 16*f = 0. -2, -1, -2/9, 0, 1 Find j such that -4*j**3 - 136*j**2 + 1148*j = 0. -41, 0, 7 Find l such that 2*l**5/3 - 10*l**4/3 + 6*l**3 - 14*l**2/3 + 4*l/3 = 0. 0, 1, 2 Factor -19*i**4 + 1370*i**3 - 32976*i**2 + 266112*i - 27648. -(i - 24)**3*(19*i - 2) What is n in -3*n**5 - 16*n**4 + 12*n**3 + 96*n**2 - 64*n = 0? -4, 0, 2/3, 2 Let -3*b**5 - 2*b**4 + 3*b**3 + 2*b**2 = 0. What is b? -1, -2/3, 0, 1 Suppose -9*w**4 + 30*w**3 + 12*w**2 - 78*w + 45 = 0. What is w? -5/3, 1, 3 Solve 28*v**4/5 + 36*v**3/5 + 8*v**2/5 = 0. -1, -2/7, 0 Let 2*c**3/7 - 12*c**2/7 + 22*c/7 - 12/7 = 0. What is c? 1, 2, 3 Let 5*v**3 + 22060*v**2 + 24310105*v - 48708490 = 0. What is v? -2207, 2 Factor 2*i**2/5 - 382*i/5 + 76. 2*(i - 190)*(i - 1)/5 Solve k**2 - 51*k - 52 = 0. -1, 52 Solve -50*w**4 + 160*w**3 + 1202*w**2 + 872*w + 168 = 0. -3, -2/5, 7 Factor -3*p**2/4 - 183*p/4 + 195. -3*(p - 4)*(p + 65)/4 Factor m**2/2 + 733*m + 537289/2. (m + 733)**2/2 Factor -3*z**2/2 + 180*z + 744. -3*(z - 124)*(z + 4)/2 Solve -z**2 + 129*z - 128 = 0. 1, 128 Factor 2*d**4 - 10*d**3 + 4*d**2 + 16*d. 2*d*(d - 4)*(d - 2)*(d + 1) What is w in 32*w**3 - 448*w**2 + 1246*w + 340 = 0? -1/4, 17/4, 10 What is y in -y**2/6 + 55*y/3 - 109/6 = 0? 1, 109 Factor -3*a**5 + 15*a**4 - 21*a**3 + 9*a**2. -3*a**2*(a - 3)*(a - 1)**2 Solve 2*r**2/13 + 1340*r/13 + 224450/13 = 0. -335 Find t, given that -5*t**2/2 - 555*t/2 + 2380 = 0. -119, 8 Determine c, given that 15*c**4 - 1380*c**3 + 6813*c**2/5 + 1104*c/5 - 1092/5 = 0. -2/5, 2/5, 1, 91 Factor 2*p**4 - 20*p**3 - 72*p**2 - 76*p - 26. 2*(p - 13)*(p + 1)**3 Factor -3*t**3/7 + 81*t**2/7 - 528*t/7. -3*t*(t - 16)*(t - 11)/7 Determine p so that -p**4/5 - 6*p**3/5 + 216*p**2/5 - 1184*p/5 + 384 = 0. -20, 4, 6 Let 3*b**4 + 790*b**3 + 1043*b**2 - 1312*b - 524 = 0. Calculate b. -262, -2, -1/3, 1 Factor -3*c**2 - 93*c + 96. -3*(c - 1)*(c + 32) Factor 25*k**3 + 4040*k**2 + 2405*k - 1610. 5*(k + 1)*(k + 161)*(5*k - 2) Determine f, given that 3*f**4 - 9*f**2 - 6*f = 0. -1, 0, 2 What is k in 5*k**5 - 115*k**4 + 960*k**3 - 3240*k**2 + 2160*k + 6480 = 0? -1, 6 Factor -2*v**2/15 + 152*v/5 + 658/3. -2*(v - 235)*(v + 7)/15 Let 8*l**2 - 148*l - 76 = 0. What is l? -1/2, 19 Suppose -33*q**4 - 765*q**3 + 5835*q**2 + 7785*q + 1218 = 0. Calculate q. -29, -1, -2/11, 7 Factor 3*x**5 + 3441*x**4 + 1313310*x**3 + 165908706*x**2 - 335771121*x + 168545661. 3*(x - 1)**2*(x + 383)**3 Factor -b**4/5 + 6*b**3 - 249*b**2/5 + 308*b/5 + 588/5. -(b - 14)**2*(b - 3)*(b + 1)/5 Factor -2*i**3/11 + 98*i**2/11 - 280*i/11 + 184/11. -2*(i - 46)*(i - 2)*(i - 1)/11 Factor i**3 - 38*i**2. i**2*(i - 38) Factor -2*f**4 + 584*f**3 - 42632*f**2. -2*f**2*(f - 146)**2 Determine p, given that -3*p**4/2 + 651*p**3/2 + 327*p**2 = 0. -1, 0, 218 Factor 3*u**3/7 + 38*u**2/7 + 132*u/7 + 72/7. (u + 6)**2*(3*u + 2)/7 Let 3*p**5/4 + 9*p**4 + 129*p**3/4 + 45*p**2 + 21*p = 0. What is p? -7, -2, -1, 0 Find r such that -r**4/3 + r**3 + 2*r**2 - 8*r/3 = 0. -2, 0, 1, 4 Factor -4*x**2 - 20*x. -4*x*(x + 5) Determine a so that -5*a**2 - 63460*a - 201358580 = 0. -6346 Factor 3*z**3 + 33*z**2 - 48*z - 960. 3*(z - 5)*(z + 8)**2 Factor 3*n**2 - 726*n + 43923. 3*(n - 121)**2 Determine f, given that f**4/2 + f**3 - 109*f**2/2 - 55*f = 0. -11, -1, 0, 10 Factor r**2/2 + 268*r + 35912. (r + 268)**2/2 Factor -20*f**3 - 135*f**2 - 205*f + 60. -5*(f + 3)*(f + 4)*(4*f - 1) Factor 3*q**4/5 + 12*q**3/5 - 6*q**2/5 - 36*q/5 + 27/5. 3*(q - 1)**2*(q + 3)**2/5 Suppose w**4 + 11*w**3 + 19*w**2 + 9*w = 0. Calculate w. -9, -1, 0 Determine n, given that -5*n**2 - 140*n + 640 = 0. -32, 4 Factor 4*b**5 + 20*b**4 - 8*b**3 - 96*b**2. 4*b**2*(b - 2)*(b + 3)*(b + 4) Determine o so that -4*o**5 - 2940*o**4 - 717344*o**3 - 57375072*o**2 + 177190848*o - 119095488 = 0. -246, 1, 2 Factor -27*v**2 + 28950*v - 6432. -3*(v - 1072)*(9*v - 2) Find g such that -2*g**4/3 + 56*g**3/3 - 108*g**2 + 216*g - 126 = 0. 1, 3, 21 Find y, given that 5*y**2 - 45*y - 50 = 0. -1, 10 Factor -6*u**3/7 + 2*u**2/7. -2*u**2*(3*u - 1)/7 Factor -4*f**2 + 32*f - 28. -4*(f - 7)*(f - 1) Let 3*i**2 - 27*i - 30 = 0. Calculate i. -1, 10 Factor -l**3 + 598*l**2. -l**2*(l - 598) What is p in 2*p**5/11 - 22*p**4 + 478*p**3/11 - 238*p**2/11 = 0? 0, 1, 119 Factor 4*c**3 + 20*c**2 - 52*c + 28. 4*(c - 1)**2*(c + 7) Find o such that 2*o**4 - 848*o**3 + 134832*o**2 - 9528128*o + 252495392 = 0. 106 Let 3*v**4 - 69*v**3 - 3*v**2 + 69*v = 0. What is v? -1, 0, 1, 23 Let 3*m**2/2 + 3*m/2 - 9 = 0. Calculate m. -3, 2 Factor c**3 + 47*c**2 + 46*c. c*(c + 1)*(c + 46) Determine q, given that 3*q**5 + 48*q**4 - 243*q**3 - 48*q**2 + 240*q = 0. -20, -1, 0, 1, 4 Find q, given that 3*q**3 - 879*q**2 + 64824*q - 63948 = 0. 1, 146 Suppose 2*y**2/7 - 360*y/7 + 358/7 = 0. Calculate y. 1, 179 Solve -2*k**2/11 - 466*k/11 + 468/11 = 0 for k. -234, 1 Factor 2*x**4/5 + 14*x**3 + 704*x**2/5 + 1536*x/5. 2*x*(x + 3)*(x + 16)**2/5 Solve 5*x**4 + 45*x**3 - 840*x**2 - 11840*x - 38400 = 0. -8, 15 Solve -3*m**3 + 36*m**2 + 3*m - 36 = 0 for m. -1, 1, 12 Factor -5*i**3/6 + 35*i**2/2 - 100*i + 250/3. -5*(i - 10)**2*(i - 1)/6 Factor -3*t**3/2 - 12*t**2 - 6*t + 72. -3*(t - 2)*(t + 4)*(t + 6)/2 Solve 13*b**2/5 - 314*b/5 + 48/5 = 0 for b. 2/13, 24 Let -14*c**5 - 24*c**4 + 22*c**3 + 24*c**2 - 8*c = 0. Calculate c. -2, -1, 0, 2/7, 1 Determine t so that -2*t**4/9 + 110*t**3/9 - 106*t**2/3 + 314*t/9 - 104/9 = 0. 1, 52 Factor -j**2 + 491*j. -j*(j - 491) Suppose -l**5 + 48*l**4/5 - 97*l**3/5 + 42*l**2/5 = 0. What is l? 0, 3/5, 2, 7 Find a such that 8*a**4/11 + 122*a**3/11 - 386*a**2/11 + 184*a/11 + 72/11 = 0. -18, -1/4, 1, 2 Solve v**5/3 - 5*v**4 + 73*v**3/3 - 43*v**2 + 70*v/3 = 0. 0, 1, 2, 5, 7 Factor v**2 + 24*v - 25. (v - 1)*(v + 25) Solve h**4/3 - 127*h**3/3 + 3968*h**2/3 + 4096*h/3 = 0. -1, 0, 64 Factor -3*w**2/5 - 6*w/5 + 9/5. -3*(w - 1)*(w + 3)/5 Solve -g**2/9 - 148*g/3 - 5476 = 0. -222 Suppose -4*m**3/3 - 1801*m**2/3 - 150*m = 0. Calculate m. -450, -1/4, 0 Let 2*i**4 - 148*i**3 + 568*i**2 - 560*i = 0. Calculate i. 0, 2, 70 Factor 2*r**2/15 + 52*r/15 + 64/3. 2*(r + 10)*(r + 16)/15 Factor 14*c**4 + 74*c**3 - 176*c**2 - 56*c. 2*c*(c - 2)*(c + 7)*(7*c + 2) Find t, given that 27*t**4 - 72*t**3 - 51*t**2 + 60*t + 36 = 0. -2/3, 1, 3 Factor l**3/7 + 8*l**2/7 - l/7 - 8/7. (l - 1)*(l + 1)*(l + 8)/7 Solve -v**3/6 - 2*v**2/3 + 2*v = 0. -6, 0, 2 Suppose 2*f**2 + 56*f - 408 = 0. Calculate f. -34, 6 Factor -2*n**3 + 2*n. -2*n*(n - 1)*(n + 1) Suppose -2*x**3/9 - 98*x**2/9 - 416*x/3 - 128 = 0. What is x? -24, -1 Factor 54*d**2/11 + 6*d + 12/11. 6*(d + 1)*(9*d + 2)/11 What is v in 14*v**5/13 - 724*v**4/13 - 964*v**3/13 + 512*v**2/13 + 950*v/13 + 212/13 = 0? -1, -2/7, 1, 53 Factor 7*f**3/8 - 51*f**2/8 - 14*f + 9/2. (f - 9)*(f + 2)*(7*f - 2)/8 Suppose -2*z**2/5 - 12*z + 4752/5 = 0. What is z? -66, 36 Factor 2*d**3/19 + 10*d**2/19 - 64*d/19 + 72/19. 2*(d - 2)**2*(d + 9)/19 Find x, given that -4*x**2 - 1524*x = 0. -381, 0 Let 3*x**3/7 - 81*x**2/7 - 174*x/7 + 360 = 0. What is x? -6, 5, 28 Solve -15*x**5 - 230*x**4 - 355*x**3 + 600*x**2 = 0. -40/3, -3, 0, 1 Factor -k**5 + 20*k**4 + 3*k**3 - 62*k**2 + 40*k. -k*(k - 20)*(k - 1)**2*(k + 2) Factor -5*b**4/4 + 25*b**3/2 - 165*b**2/4 + 50*b - 20. -5*(b - 4)**2*(b - 1)**2/4 Solve 2294*d**2/3 + 4*d = 0 for d. -6/1147, 0 Factor 3*h**4 - 7*h**3 - 7*h**2 + 3*h. h*(h - 3)*(h + 1)*(3*h - 1) Solve -2*j**5/3 + 32*j**4/3 + 24*j**3 + 4*j**2/3 - 70*j/3 - 12 = 0. -1, 1, 18 Factor n**5 - 5*n**4 - 44*n**3 - 60*n**2. n**2*(n - 10)*(n + 2)*(n + 3) Let b**5/8 + 5*b**4/8 + 3*b**3/4 - b**2/4 - 7*b/8 - 3/8 = 0. Calculate b. -3, -1, 1 Factor -2*j**3/11 - 8*j**2/11. -2*j**2*(j + 4)/11 Suppose 2*u**3/3 + 1816*u**2/3 = 0. Calculate u. -908, 0 Let z**2 - 177*z + 176 = 0. What is z? 1, 176 Let -z**2/9 + 2*z - 9 = 0. Calculate z. 9 Suppose v**5/4 - 15*v**4/4 + 19*v**3/2 - 6*v**2 = 0. What is v? 0, 1, 2, 12 Let 5*s**5 - 25*s**4 + 35*s**3 + 5*s**2 - 40*s + 20 = 0. What is s? -1, 1, 2 Factor 45*i**2 + 2780*i - 620. 5*(i + 62)*(9*i - 2) Solve 2*m**5/11 - 72*m**4/11 + 52*
{ "pile_set_name": "DM Mathematics" }
Express 14*i**2 + 7*i**4 - 14*i**2 + (4 + 4 - 3)*(5468*i + 2 - 5468*i - 40*i**4) in the form p + u*i**2 + r*i**3 + s*i**4 + w*i and give s. -193 Express -704*d + 837*d + 2908*d as t + q*d and give q. 3041 Express 3831 - 9*n + 3912 - 3267 + 14*n in the form j + l*n and give l. 5 Rearrange 12 + 16*x**3 + 7 - 44*x**3 - 7 to s*x + r + l*x**2 + b*x**3 and give b. -28 Rearrange 169386*z**2 - 103 + 2*z - 338773*z**2 + 169386*z**2 - 82 to s*z**2 + d + b*z and give b. 2 Express -192*v**4 - 4724 + 273*v**4 + 2*v + 4722 in the form z*v**2 + c + p*v**4 + f*v**3 + r*v and give r. 2 Rearrange (-2*f**2 - 6*f**2 - 2*f**2)*(-4*f**2 + 5*f**2 + f**2) + 66*f**4 - 23*f**4 - 477*f**4 to the form q + r*f + z*f**4 + d*f**2 + n*f**3 and give z. -454 Express 10611*u - 5360*u - 5306*u as p + i*u and give i. -55 Rearrange -979*j - 4088 + 579*j + 4088 + 3238*j to x + s*j and give s. 2838 Express (-10408*o + 31 + 23853*o - 32)*(-o**2 + 4*o**2 - 2*o**2) in the form m*o**3 + c + h*o**2 + f*o and give h. -1 Rearrange (71*l + 81*l + 18*l)*(0 + 13 - 3)*(4*l**2 - 2*l**2 - l**2) to the form y*l**2 + i + u*l**3 + d*l and give u. 1700 Rearrange -16*a + 773 - 762 + 217*a**2 + 17*a to the form j*a**2 + p + z*a and give z. 1 Express -5240*a - 583 + 15713*a - 5236*a + 2*a**2 - 5240*a in the form k + d*a + z*a**2 and give d. -3 Express (-6*s**2 + 7*s**2 + 8*s**2)*(1869*s**2 + 350 - 172 - 178) as l*s**4 + v*s**3 + c + u*s + h*s**2 and give l. 16821 Express (186*y + 379 - 379)*(1 - 1 - y) + 13*y**2 - 5*y**2 + 14*y**2 as z*y**2 + v + g*y and give z. -164 Express -3815*b + 1634*b - 1787*b as a*b + w and give a. -3968 Express -33 + 21 + 21591*i**3 - 22052*i**3 in the form p*i**3 + v*i + o + k*i**2 and give o. -12 Rearrange 4 + 33*x + 702*x - 8 - 123*x + 1 to u + k*x and give k. 612 Express -15*o**3 + o**2 + 275*o - 137*o + 3*o**2 + 94*o**3 - 135*o as c + z*o**2 + q*o + w*o**3 and give q. 3 Rearrange 8 + 2 + 43155*o - 43179*o + (4 - 4 + 2*o)*(0 + 1 + 0) to the form z + n*o and give z. 10 Rearrange (-3 + 3 - h)*(37 + 142*h + 60 - 218*h) to i*h**2 + u*h + s and give u. -97 Express 1 + 1287*g**4 - 12*g**2 + 7 + 113*g**2 - 6*g - 2585*g**4 + 1297*g**4 as q + u*g**3 + t*g**4 + w*g + a*g**2 and give w. -6 Rearrange (-20 - 25 - 41)*(0 + 4 - 3)*(-10 + 10 + 5*h) to z*h + g and give z. -430 Rearrange (5*p - 230*p**2 + 113*p**2 + 95*p**2)*(12 - 30*p + p**2 - 12) to d*p + b + h*p**4 + m*p**2 + y*p**3 and give m. -150 Express -33*t + 1 - 5624*t**2 - 5591*t**2 + 11217*t**2 - 3*t**3 as x + q*t**3 + f*t + c*t**2 and give x. 1 Rearrange (22*w**2 - 46*w**2 + 8*w**2)*(1 - 6 + 3) - 3*w**2 - 2*w**2 - 4*w**2 to g*w + a + c*w**2 and give c. 23 Express 15703*m + 21412*m + 2 - 2 + (-1 - 4 + 3)*(3 - 6 + 1)*(-m - 2 + 2) as t*m + b and give t. 37111 Rearrange 78 + 5*c + c - 43 + 4*c + 31*c to u + m*c and give m. 41 Express (k + 2*k - 2*k)*(5*k - 5*k + 2*k) + (3*k - k - 3*k)*(199*k - 15030 + 15030) in the form p + f*k**2 + g*k and give f. -197 Express 3*w - 4*w**3 + 0*w**3 - 42 + 0*w**3 + 10 + 2*w**3 as q + f*w + b*w**3 + h*w**2 and give q. -32 Rearrange 15*m**2 - 15*m**2 + 15*m**3 + 11*m**3 + 19*m**3 + 35*m**2 to s*m + p*m**2 + i + k*m**3 and give k. 45 Express (75 - 44 + 72)*(2*y**2 - 3*y**2 + 0*y**2) + (-1 + y**2 + 1)*(30 + 23 + 48 - 19) as p*y**2 + h*y + x and give p. -21 Express -28 - 18 - w**4 + 34 + w**3 + 2*w**3 + 10 - w**2 as g*w + m*w**4 + p*w**2 + a*w**3 + s and give p. -1 Express -80*g - 71*g - 73*g + 221*g + 695 in the form y + s*g and give y. 695 Rearrange 0*l**2 - 1460*l + l**2 + 0*l**2 + 620*l to g*l**2 + w + s*l and give s. -840 Express 2*y**3 + 3356*y - 3356*y + 3633*y**2 as d + w*y**3 + h*y + z*y**2 and give w. 2 Rearrange 1247*z**3 - 1227*z**3 - 123 + 121 + z to y*z**3 + v + c*z**2 + g*z and give y. 20 Express 2050*l - 35545 + 3565*l + 35545 in the form i + x*l and give x. 5615 Rearrange -742 - 57*f + 1491 - 740 to the form c + s*f and give c. 9 Express (-4*d**3 - 31*d + 31*d + (d - d + 2*d**2)*(-36 + 36 - 7*d) - 12*d**3 - 20*d**3 + 9*d**3)*(-6 + 1 + 4) as m*d + y*d**3 + i + v*d**2 and give y. 41 Rearrange -5810*s**2 - 3300*s**2 + 507 - 507 to j*s**2 + v + b*s and give j. -9110 Express 59 + 733*f**2 - 56 - 106*f**2 in the form g + h*f + l*f**2 and give g. 3 Rearrange 88793 + 98*w**3 - 88794 + 4*w + 0*w to the form s + g*w**3 + l*w**2 + v*w and give v. 4 Rearrange -927*t**2 - 6*t + 3*t + 6*t - 2*t**3 + 6*t**3 + 777*t**2 to w + v*t**3 + k*t**2 + l*t and give l. 3 Express -34 + 10 + 199813*s - 5 - 199799*s as m + t*s and give t. 14 Express 6*b**3 + 584*b**2 + 111*b - 537*b**2 - 44*b - 68*b as s*b**2 + l*b**3 + r + j*b and give s. 47 Rearrange (1 - 6 + 2)*(-608172 + 608172 - 2137*f) to the form i + j*f and give j. 6411 Express -98 + 17*f - 51*f + 22*f + 27*f as c + w*f and give w. 15 Express (5*v - 3*v + 2*v)*(38 + 56 - 59) - 156 + 40*v + 156 as k*v + z and give k. 180 Rearrange 2*i**4 + 1554*i - 9 - 782*i + 31*i**2 - 772*i to the form f*i + p*i**3 + b*i**4 + v + n*i**2 and give n. 31 Rearrange -19*m**3 - 2*m + 86 - 86 - 12*m - 2*m**2 - 1 - 2*m to b*m**3 + l + g*m + k*m**2 and give k. -2 Rearrange -3 - 2 + k**2 - 1 + (5 - 3 - 1)*(-15*k**2 + 653*k**2 + 300*k**2) to the form w*k + p*k**2 + u and give p. 939 Express (-f - 2*f - 1 + 2*f)*(2 - 1 + 3) + (-2*f - 6 + 6)*(404 + 678 + 657) in the form h + x*f and give x. -3482 Rearrange -43 + 30*c**2 - 23 + 17 - 4 - 56 to q + i*c + l*c**2 and give l. 30 Rearrange (-513*y + 100*y + 179*y)*(59*y**3 - 1 + 2*y - 58*y**3 + 3*y) to the form v + t*y**3 + f*y**2 + x*y + a*y**4 and give f. -1170 Express (-3*m + 0*m + 4*m)*(33 - 33 - 14*m)*(8*m + 142 - 142) as t*m**2 + l + p*m**3 + s*m and give p. -112 Rearrange 2274*j + 1833*j - 718*j + 4*j**2 to the form f*j**2 + n + l*j and give n. 0 Rearrange -9307 + 4657 + 4702 - 21*i**2 + 2*i to the form h*i + l + t*i**2 and give t. -21 Express (-2*c + c + 6*c)*(c + 94519 - 47260 + 32*c**2 - 47263) as m*c + p + l*c**3 + s*c**2 and give m. -20 Express (5 - 5 + k)*(-1 + 2 + 1)*(-61*k - 512*k - 417*k) in the form m + c*k + j*k**2 and give j. -1980 Express 19326 - 38627 + 19301 - 41*b in the form u + z*b and give z. -41 Rearrange -24*m**4 - 790 + 787 + m**2 + 4*m**4 + m**2 + 2*m**3 + 8*m to u*m + h*m**2 + t*m**4 + y + a*m**3 and give y. -3 Express 17*n**3 + 2*n**2 + 43*n**3 - 2 + 8*n**3 + n + 2*n**4 + n**2 + n**3 in the form j + w*n**2 + b*n**4 + a*n**3 + h*n and give w. 3 Rearrange -5368*v**2 + 20*v + 2680*v**2 - 2*v**3 - 2 + 2684*v**2 to l + c*v**2 + r*v**3 + j*v and give c. -4 Rearrange -2*b**4 - 5*b**2 + 50*b + 412421 - 412421 to m*b**3 + i*b + h*b**4 + p + a*b**2 and give a. -5 Express -112 - 3*o**3 + 7*o + 336 - 18*o**3 - 111 + 2*o**2 - 111 in the form b*o**3 + a*o**2 + q*o + n and give n. 2 Express (53 - 507 - 68)*(j + 0 + 0)*(-25*j**3 - 7*j**3 + 7*j**3) in the form g*j + t*j**4 + s*j**3 + p + z*j**2 and give s. 0 Express (2 - 4 + 3 + 3 + 0 - 2 + (2 - 1 + 1)*(-1 - 2 + 4))*(-91133*k - 14898*k - 42686*k + 16003*k) as t*k + s and give t. -530856 Rearrange 18 - 18 - 4*p + (4 + 3 - 5)*(-2 + 3*p + 2) + (0 - 3 + 1)*(223 + 22*p - 223) to the form k*p + d and give k. -42 Rearrange (3 + 3 + 2)*(1 - 3 - 1)*(-2*c + 2*c + 2*c)*(14*c + 1 + 192*c + 89*c)*(5 + 3*c - 5) to r*c**3 + a + o*c + w*c**2 and give r. -42480 Rearrange u**2 - 451*u**3 + 87 - 37 - 28 - 28 to the form q*u + x + y*u**2 + h*u**3 and give y. 1 Express (-4995 - 10*u + 4995)*((-4*u - 2*u + 5*u)*(1 + 1 - 5) + 0*u + u + u)*(0 + 1 + 0)*(-2*u + 0 + 0) + u**3 + 3 - 3 as w + b*u**2 + r*u + v*u**3 and give w. 0 Express (2*h + h - 2*h)*(-1923 + 288*h**2 - 147*h**2 + 1653*h - 1654*h - 142*h**2) as t*h**2 + i*h**3 + r + k*h and give t. -1 Rearrange (756*d + 120*d + 314*d)*(-8*d + d - 7*d - 8*d - 4*d) to q*d**2 + l + u*d and give q. -30940 Express (6 - 1 + 0 + (-5 - 1 + 4)*(-1 + 2 + 1) + 3 - 1 + 1)*(4174 - 4176 + 62*x + 312*x) in the form w + u*x and give w. -8 Express 38*m**3 + 2 - 9*m + 2944*m**2 + 2*m**4 - 2946*m**2 - 4*m - 3*m + 16*m**3 in the form p*m**4 + l*m**3 + r + s*m**2 + b*m and give b. -16 Express -1520*b**3 + b + 38 + 1516*b**3 - 12*b**2 - 41 - 2*b**4 in the form h*b**2 + v*b + a*b**3 + l*b**4 + w and give v. 1 Express (-j - 2*j - 3*j + (0 - 1 + 0)*(2*j - 3*j + 2*j) - 6*j + 21*j - 9*j)*(-3 - 42*j**2 + 6 + 9*j**2 - 3) as o*j**3 + w*j + s*j**2 + h and give o. 33 Express -172
{ "pile_set_name": "DM Mathematics" }
-2)/(-3). Suppose 40*d = 29*d - 46*d. Suppose c*p - 47 + 15 = d. Is p a multiple of 4? True Suppose 5*y + 19 = 89. Suppose 0 = 7*r - y*r + 1855. Is r a multiple of 17? False Let c(k) be the third derivative of -27*k**6/40 + k**5/60 + k**4/24 - k**2 + 2*k + 58. Suppose 3 = 3*n - 6*n. Is 27 a factor of c(n)? True Let y(d) = -3*d**2 + 19*d - 41. Let n be y(12). Let a = -143 - n. Does 33 divide a? False Let d(f) = 49*f**2 + 6*f - 10. Is 66 a factor of d(2)? True Let z = 108 - -221. Does 101 divide z? False Let d(n) = 2*n + 1. Let q(m) = -m**2 + 7*m - 11. Let l be q(4). Let x be d(l). Is 15 a factor of 111 - (x*-2)/2? False Suppose 51*k + 26202 = 54*k + 2*s, -2*s = -3*k + 26214. Does 52 divide k? True Let t be ((-1820)/100)/(1/(-5*1)). Let x(y) = -9 - t*y + 4 + 0. Is 31 a factor of x(-1)? False Let s(j) = -j**2 - 22*j + 62. Let n be s(-24). Suppose -k = -n*k + 1677. Is k a multiple of 7? False Suppose -10711 = -2*o + 5*a, -3*a + 487 = 2*o - 10216. Does 19 divide o? False Let j(d) = d**2 - 7*d + 15. Let i be j(10). Let f = -11 + i. Suppose -4 = w - 5*p, -f = -2*w + p + 3. Is w a multiple of 3? True Is (22 - 37)*(278/(-1) - 2) a multiple of 5? True Let w be -48*((-37)/12 - (-6)/(-9)). Suppose -5*h + 180 = -k, 3*h + 2*h - w = -5*k. Is 12 a factor of h? True Let p be -558*12/(-45) - 2/(-10). Suppose -180 = -4*h + b + b, 0 = -3*h + 5*b + p. Is 43 a factor of h? True Let x be 4/10 + 24/(-60). Suppose 364*d - 357*d - 3234 = x. Is d a multiple of 66? True Suppose -y - 3*a + 0 - 8 = 0, -5*y - 5*a + 10 = 0. Suppose -2 = v - 4*h - y, 3*v + 3*h - 15 = 0. Suppose -v*g = -6*g + 51. Does 6 divide g? False Let s be ((-3)/(-1))/((-2)/4). Let a(u) = -12 - 3 - 4 - 17*u + 1 - 4. Is 8 a factor of a(s)? True Let s(y) = y**3 + 2*y**2 - 1. Let m be s(1). Suppose -5*v + m*v - 2*x = -74, 0 = -v - x + 24. Is 26 a factor of v? True Does 2 divide 263744/546 - 4/3 - (-6)/21? True Suppose 22*l = 25*l - 1458. Is 96/(-9)*(l/(-4))/9 a multiple of 12? True Let i = -427 + 430. Suppose i*a = -3*f + 2439, 0*a - 2455 = -3*a + f. Does 43 divide a? True Let i(z) be the first derivative of 17*z**5/20 + z**4/24 + z**3/3 + 5*z**2/2 - 7. Let a(q) be the second derivative of i(q). Is a(-1) a multiple of 16? False Suppose 3*p - 25 = -2*p. Suppose -338 = -p*m + 1387. Suppose -3*z + 8*z - 5*o = m, z - 5*o - 85 = 0. Does 14 divide z? False Let i(k) = 3*k**2 + 18*k - 20. Let m be i(-7). Is (10 - 2/m)/((-2)/(-52)) a multiple of 8? True Let p(h) = -h**3 + 6*h**2 + 8*h + 1. Let y be p(4). Let s = -38 + y. Is s a multiple of 9? True Suppose 1 = -d - 11. Is 69 a factor of (-12430)/(-60) - ((-38)/d - 3)? True Let g = 10203 - 3553. Does 16 divide g? False Let k(x) = 21*x**3 + 4*x**2 + 12*x - 3. Does 12 divide k(5)? False Let h be (-12)/(15/(-8230) - 0). Suppose 15*r = 23*r - h. Is 66 a factor of r? False Suppose -3*k - 68 = -5*k + 2*j, 0 = k + 2*j - 34. Suppose 5*c = -k + 14. Is (36/8)/(c/(128/(-6))) a multiple of 8? True Suppose 0 = 2*a - 131 + 159. Let s(k) be the second derivative of -7*k**3/6 - k**2/2 + k. Is 15 a factor of s(a)? False Suppose p - 584 - 702 = 0. Let t = p + -333. Is 43 a factor of t? False Let r be (-7)/(-2)*(11 - -1). Let g(m) = m + 168. Does 15 divide g(r)? True Suppose 158 = 2*v + 10. Suppose -v = -7*u + 6*u. Let c = u + -18. Is c a multiple of 33? False Suppose 0 = -4*n + 5*h + 1076, -269 = -11*n + 10*n - 4*h. Let y = n + -184. Does 17 divide y? True Let g(u) = 2*u**2 - 2*u - 39. Let m be g(0). Let z = m - -43. Suppose 3*s = z*s + a - 9, 3*a + 71 = 4*s. Does 3 divide s? False Let q(n) = 10*n**2 + 51*n - 26. Let h be q(11). Let m = h - 907. Is m a multiple of 45? False Let x(t) = 148*t**3 - 10*t**2 - 94*t + 410. Is x(5) a multiple of 107? True Let m(z) = -z**2 - 16*z - 15. Let c be m(-15). Suppose -3*h + 224 + 43 = c. Suppose 8*f - 175 = h. Is f a multiple of 19? False Let s be (16 - 19)/(-2 - 405/(-203)). Suppose 6*a - 153 = -s. Let j = a + 111. Is j a multiple of 7? True Suppose -z + 4*b + b = -2163, -z = 5*b - 2193. Suppose z = 13*j - 305. Is 13 a factor of j? False Let f(l) = -22*l + 50. Suppose 0 = j + 2*t - 2, 5*j + 27 = 2*t - 11. Is f(j) a multiple of 14? True Let g(i) = 247*i + 13. Let m(l) = -l**2 - 31*l + 3. Let k be m(-31). Let t be g(k). Suppose 5*q - q - t = 2*c, -q + 178 = 3*c. Does 11 divide q? True Suppose -9*z = -11*z - 104. Let f = z - -52. Suppose f = -2*a + 69 - 11. Is 21 a factor of a? False Suppose 125 = -5*a + 400. Suppose 58*d - a*d - 1050 = 0. Is d a multiple of 25? True Suppose 0 = -15*h + 20*h + 20. Is (h + 4 + 30)*(-21)/(-6) a multiple of 12? False Does 21 divide (2 + -51)/((-4)/84)? True Let j = -109 - -152. Let x = j + 189. Is x a multiple of 29? True Suppose 0 = 3*s + 15, -3*s - 7873 = -h + 2*s. Is h a multiple of 109? True Suppose 93*b + 35024 = 96*b - 2*r, b - r - 11674 = 0. Does 16 divide b? False Suppose 5*k - 41 = -u - 2*u, 4*u = k + 1. Let c be (3 + -6)/(k/(-28)). Is 191 - ((-6)/c)/((-1)/(-2)) a multiple of 32? True Let q(r) = 2518*r - 140. Is q(2) a multiple of 51? True Let u(h) = -7987*h + 1850. Is u(-5) a multiple of 207? False Let i(n) = n**3 - 10*n**2 - 10*n + 24. Let p be i(13). Suppose p = -9*w + 1472. Is w a multiple of 7? True Let a(q) = -61*q + 2679. Does 79 divide a(-83)? True Let m = 7888 + 7843. Does 36 divide m? False Suppose -7836 = -r - 35*w + 31*w, 0 = 5*r + 2*w - 39072. Is 149 a factor of r? False Let d be (-3 + -3 + 2)*(-2)/4. Suppose -4*r + 16 = -4*j, -j + 5*r = 10 + 10. Suppose j*x = -d*x + 60. Does 5 divide x? True Let y = 65 - 71. Let z be 2/((-2)/y + (-185)/510). Let r = z + 74. Is r a multiple of 5? False Let q(t) = 12*t**2 + 31*t + 239. Is q(-12) a multiple of 29? True Suppose -254 - 3998 - 2144 = -6*y. Is 26 a factor of y? True Let y(s) = 42*s + 59. Suppose 4*q + 3*q = 8*q. Is 5 a factor of y(q)? False Suppose -29*b + 145159 + 69806 = 16*b. Is 17 a factor of b? True Suppose 22 - 16 = -3*q. Let l be -2 + q*(1 - 0). Is (-390)/(-33) - l/22 a multiple of 6? True Let r(g) be the second derivative of g**4/12 - 2*g**3 + 8*g**2 + 13*g. Let h(s) = 3*s**2 - 37*s + 48. Let b(o) = -3*h(o) + 8*r(o). Is 17 a factor of b(10)? True Suppose 260*j = 264*j + 20. Is (-188 - j)*2/(-3) a multiple of 11? False Does 13 divide (96/60)/(5/1950)? True Let h = 13 - 16. Let j(q) = -3*q - 5. Let r be j(h). Suppose -m - 159 = -r*m. Is m a multiple of 42? False Suppose -64*x + 1787102 = 67*x. Does 18 divide x? False Let m(g) = -443*g - 1376. Is m(-4) a multiple of 9? True Let k = 78 - 66. Suppose -k*v + 336 = -8*v. Let u = v - 32. Is u a multiple of 15? False Let x = 51781 - 26115. Is x a multiple of 41? True Suppose -7*n + 99 = -146. Suppose -m + 139 = -3*i + 14, -i - m = n. Let h = i + 104. Is h a multiple of 16? True Let u = 145 - 141. Is 12 a factor of (2/u)/(9/(-54)) + 427? False Suppose -2*b = -6*b + 12. Let a = -40 - -42. Suppose -a*q = -b*c - 216, -4*c = -9*c. Is q a multiple of 12? True Suppose -27*b = -99*b + 43920. Is 61 a factor of b? True Suppose 4*a - 4*f - 52 = 0, -46 = -4*a + 5*f - 3*f. Suppose a*o = 2735 + 4255. Is 67 a factor of o? False Suppose -13 - 9 = -2*p + 5*m, 5*p - 5*m - 55 = 0. Suppose p*g - 1300 = g. Is g a multiple of 5? True Suppose 5*u + 12 = 2*u. Let n(i) = -i**3 - 5*i**2 - 4*i + 1. Let p be n(u). Suppose -p = -w, q - 4*w + 44 = 3*q. Is 5 a factor of q? True Let o = -4473 - -4851. Is 10 a factor of o? False Let v(s) = 1293*s - 429. Is v(8) a multiple of 40? False Let p(n) = 10*n - 23. Let s be p(4). Suppose 0 = 3*g + 3*h - 15, s - 2 = -5*h. Suppose g*u + 4*u = 252. Is u a multiple of 11? False Suppose 0 = -4*k + 6*k. Let y be (-2)/(-63)*9 + 1146/7. Suppose u + 3*u - y = k. Is 11 a factor of u? False Let h(a) = a**2 + 5*a - 9. Let x = 34 + -41. Let k be h(x). Suppose -5*v = 5*g - 480, k*g + 3*v - 413 - 57 = 0. Is g a multiple of 13? True Suppose z + o - 4 = 0, 8 = -4*z + 9*z + 2*o. Suppose z = 5*n - 6 - 144. Is 3 a factor of n? True Let d be (-10)/(-15)*-6 + -124. Let r = -56 - d. Is 18 a factor of r? True Let l = 7370 - 3575. Suppose 195*d - l = 190*d. Does 23 divide d? True Suppose 84*h = 85*h - 4*m - 3453, -4*h - 5*m + 13749 = 0. Is 159 a factor of h? False Let g(q) = -q**3 - 7*q**2 - 7*q - 2. Let x be g(-6). Suppose -5*m = -7*m + x. Suppose 6*b - 96 = m*b. Does 4 divide b? True Suppose 0 = -18*o - 4*o + 110. Su
{ "pile_set_name": "DM Mathematics" }
Suppose 0*q + 112 = -2*q. Let x be (q/(-12))/(6/(-9)). Is -9 >= x? False Let o(a) be the third derivative of a**8/20160 + a**7/5040 + a**6/360 + a**5/20 - 2*a**2. Let y(n) be the third derivative of o(n). Let z be y(0). Is z > -2? True Let g be 3/(-30)*(-9)/(-3). Is 0 less than g? False Let w = -12 - -9. Let a = 3 + w. Which is smaller: 2/5 or a? a Let g = -61 + 40. Which is greater: -1 or g? -1 Let y(m) = m + 11. Let r(g) = 7*g + 2. Let o be r(-2). Let j be y(o). Which is smaller: j or 0? j Let k be 5/(1 + -31) + (-50)/(-284). Which is bigger: k or -1? k Let n = -0.19 - 0.01. Let a = 30/17 + -103/68. Which is smaller: a or n? n Let s(l) = -113*l + 2. Let f be s(-4). Let g = f + -15892/35. Is 0 at most g? False Suppose -4*t + 40 = -0*t. Suppose -3*n = 4*j + 2*n - t, 3*n = 3*j - 21. Suppose -s + j*d = 25, s - 2*d = -0*d - 10. Which is smaller: 2/13 or s? s Suppose 2*b = -4*p + 12, 4*p + 4*b = 2*p + 12. Suppose p = -z + s, -z - 4*z = -s + 14. Let n be ((-12)/(-9))/((-2)/z). Which is smaller: n or -0.1? -0.1 Suppose 4*o + 5*h = 601, 5*o - 2*h + 255 = 1031. Let c = -64379/2 - -452805/14. Let p = o - c. Is -1 less than or equal to p? True Let g(x) = x - 5. Let y be g(5). Let f be 0*(-1 - (y - 0)). Suppose -5*d - 25 = 0, -3*s - d = 5 - 3. Which is greater: f or s? s Let n = 16 - 13. Suppose 2*j + 18 = 3*z + n, 3*z - 6 = -j. Is z != 4? True Let z(h) be the second derivative of h**4/12 + h**3/3 - h**2 - h. Let p be z(-3). Suppose 0 = 4*s - 5*g + 2, 6 = 3*g. Which is greater: p or s? s Let h = -404 + 18178/45. Is 1 smaller than h? False Suppose -4*f = 9 - 5. Is f greater than -4/9? False Let v be 1*(-6)/(-1 - -3). Suppose -d + 132 = -5*d. Let c = 65/2 + d. Which is smaller: c or v? v Let j = -77 - -57. Is -22 <= j? True Suppose 0*w = 4*w + 4. Let s = 97715/18 - 5430. Let c = s + 113/90. Which is smaller: w or c? w Let z be 1/2 + (-1407)/2874. Let v = 8687/6227 - z. Let l = -121/78 + v. Is 1 smaller than l? False Suppose 5*d = 5*f + 25, -d = -f + 2*d - 7. Suppose 9 - 1 = 5*v - z, 3*z = -3*v + 12. Let h be (-3)/(-6)*(-7 + v). Which is greater: f or h? h Let y = 238/3 - 3572/45. Which is smaller: 0 or y? y Suppose -26 = -r - 26. Is 12/23 greater than r? True Let p be (1/3)/((-2)/(-18)). Let a = 3 - p. Is a less than 1/2? True Suppose 0*p + 28 = -4*p. Let o = -15 - p. Do o and -8 have different values? False Let n = -2.687 + -0.013. Let f = n + 0.7. Let t = -1.8 - f. Which is bigger: 2 or t? 2 Let k = 38 + -38. Is k not equal to 1/34? True Suppose 3*x = 2 + 4. Let l(k) = -3 + 8*k - 5*k - x*k. Let n be l(3). Is -1 equal to n? False Let s = 1.128 - 0.128. Let j be -1 - (-1)/((-5)/(-2)). Which is smaller: s or j? j Let d = -26 - -44. Let w = d + -12. Let y be (-1 + 3)/(4/14). Is w > y? False Let f = -0.08 - -1.48. Let p = f - 1. Let q = 0.4 - p. Is 1/4 < q? False Let q = 3642/13 + -280. Let c(a) = -a**3 - 8*a**2 - 6*a + 8. Let p be c(-7). Is q greater than p? False Suppose -8*o = 12 - 20. Which is smaller: 3/13 or o? 3/13 Let g be (-2)/4 + (-2)/4. Let a be ((-4)/24*-1)/3. Do a and g have the same value? False Let f be (-48)/(-10) - (-1)/5. Suppose -f*v - 20 = -4*v + 3*z, -v + 2*z = 20. Let u be (-4)/v - 24/70. Which is smaller: u or 1? u Suppose -2*d = -t + 34, t + 3*d + 29 = 78. Which is bigger: 41 or t? 41 Let n(m) = -m**3 + 7*m**2 - 5*m - 2. Let t be n(6). Suppose -2 = 2*o + 3*r + 2, -32 = -t*o + 4*r. Do o and 4 have different values? False Let n(r) = -2*r**2 - r + 2. Let b be n(-2). Which is bigger: b or -1? -1 Suppose 5 = 3*p + i, -2*i + 8 = 5*p - 0*p. Suppose 0 = 2*w - 7 + 1. Is w bigger than p? True Let q = -0.2 - -0.14. Let v = q - 0.14. Which is bigger: v or 0.1? 0.1 Let s be 3 + 0 - (-4)/(-2). Let x = -0.02 - 3.98. Which is smaller: s or x? x Let h = 2.3 + -0.3. Let o = -8 + 9. Which is greater: o or h? h Suppose 3*f + 0 = 3. Let w(a) = -a**3 + 5*a**2 - 4*a. Let z be w(3). Which is smaller: f or z? f Let g be (-1)/((300/(-9))/(-5)). Let s = g + 29/60. Which is bigger: s or -0.02? s Let r = -86 + 85. Which is greater: r or 1/92? 1/92 Let o(g) = g**2 + 6*g + 7. Let r be o(-2). Which is smaller: r or -3/10? r Let c be (0 - 35/10)/(2/12). Are -23 and c nonequal? True Suppose -5*a = -8*q + 3*q - 10, a + 6 = 5*q. Suppose 4*r + 16 = 4*t, -t + r + 8 = q*t. Suppose -3*l + t = -1. Which is greater: l or -1/3? l Let k be 3/(-6)*(-4)/(-46). Is 1 not equal to k? True Suppose n + 5 = 1, 4*m + 2*n = -8. Are m and -1/13 nonequal? True Suppose 59*o + 116 = 61*o. Are o and 58 equal? True Suppose -5*h - 86 + 11 = 0. Let x = 21 + h. Suppose n + 2*n + x = 0. Is -3/5 at least n? True Let z(b) = 9*b**3 + 2*b**2. Let j be z(2). Let o be j/(-23018)*(-34 + 1). Let a = o + 2/677. Is -1 <= a? True Let d = -6 - -11. Suppose -5 = x - 5*a + 8, 0 = d*a - 15. Which is smaller: 1 or x? 1 Let f be (-1)/(0 + (-2 - -3)). Let i = -11/9 - -8/9. Is f at least as big as i? False Suppose 2*w + 3*w = 0. Let l = -160 - -1118/7. Is w less than l? False Let s = -93/203 + 5/29. Let y = s - 3/14. Which is greater: y or -2? y Let k = 0 - -1. Suppose -2*j + 0*c = c - 8, 0 = 3*j - 3*c - 21. Suppose -2*z - 4*w = -j*w, 4 = 2*z + w. Is k at least z? True Suppose -2*b = 4*j - 12, 0*b - j = b - 3. Suppose b = -v - 4*s - 16, 0 = -v + 2*s - 3*s - 1. Let d = -4 + v. Which is greater: 2/9 or d? 2/9 Let c(q) be the third derivative of -q**5/60 - q**4/4 + q**2. Let h be c(-6). Let r be (-4)/(-32)*20/3. Which is smaller: h or r? h Let p be (-7 - -5)/((-4)/22). Which is smaller: p or 5? 5 Suppose 3*j - 3*s = -9, -2*s - 3*s + 25 = 0. Suppose 4 = 4*x + 2*v, 0*x - 14 = 2*x + 5*v. Let o be (x/(-7))/((-20)/35). Which is bigger: o or j? j Suppose -3*y + 0 - 12 = 0. Let c be ((-1)/y)/(4/(-16)). Is 2/7 smaller than c? False Let s = 8 + 43. Which is bigger: s or 0.1? s Let k = -34 + 440/13. Which is smaller: 0.1 or k? k Let r(z) = -z**3 + 11*z**2 + 12*z + 4. Let c be r(12). Which is bigger: c or 2? c Let h be ((-4)/(-9))/((-276)/(-18)). Let w(j) = -j + 10. Let p be w(10). Are p and h equal? False Let z(p) = -2*p + 2. Let j be z(4). Let h be ((-12)/(-18))/((-2)/j). Which is smaller: h or -1/5? -1/5 Let h = -9 + 29. Suppose -10 = 5*s + j, -j + 5*j = -h. Let b = -149/6 - -25. Is s not equal to b? True Let w = -1060 + 2175/2. Let s = w + -27. Let q = -17/2 + 9. Is s at least as big as q? True Let n be (-6)/8 - (150/(-56) - -2). Is 1 at most n? False Suppose 0 = -4*r + 2*r + 6. Suppose 2*y + 6 = y - r*v, -y + 2 = -v. Which is bigger: y or 2/11? 2/11 Let b be -1 - 3 - (-252)/49. Which is greater: 1 or b? b Let f = -0.44 - -1.44. Is -1 greater than f? False Let h(j) = 0*j + 2*j - j - 3. Let b be h(3). Suppose b = -2*w - 0*w. Does w = 0? True Let x be (-115)/231 - 4/(-14). Let v = -4/33 + x. Suppose -4*n + 6*n = 0. Is v at least n? False Let o = 144 - 2871/20. Let k = o + -59/220. Is 1 smaller than k? False Let m = 0.2 - 0.2. Let a = m - 4. Let o = a - -1. Which is smaller: o or -1? o Let h be ((-96)/(-10))/(6/20). Suppose -2*g = -r + 18, -r - 3*r = 5*g + h. Let c(b) = b**3 + 9*b**2 + 7*b - 11. Let d be c(g). Is -1 bigger than d? True Let k = 5 + -3. Suppose -k*n - 12 = 2*n. Let q(z) = 2*z + 23. Let x be q(-13). Is x >= n? True Suppose -3*n + 16 = -q, -69 = 3*q + 3*n + 27. Let c = q + 24. Which is greater: -16/5 or c? -16/5 Let y be 2 + -1*0/(-1). Let x = y + -3. Let z be (-1)/(1 + x/2). Which is bigger: -1/2 or z? -1/2 Let o = -0.18 + -10.82. Let u = o - -7. Which is greater: 0 or u? 0 Let j = -7 - -11. Suppose 0*g - j*g = -20. Suppose -g = -2*l - 3. Which is smaller: l or 3? l Let u be -9*(6/(-10) + 0). Are u and 4 equal? False Let c(l) = -110*l**2 - l. Let g be c(1). Let q be 2 - (g/(-21) + -3). Which is smaller: q or 0? q Suppose 2*n + 2*n = 16. Suppose n*c - 6 = 5*h + 10, -3*c + 5*h + 17 = 0. Which is greater: -2/7 or c? -2/7 Let r(j) = 2*j**2 - 3*j - 3. Let t be r(3). Let f be 4/t*(-81)/18. Do f and 0 have the same value? False Let k(d) = -d**3 - 10*d**2 + 12*d + 11. Let v be k(-11). Which is greater: v or -1? v Let y = -13.01 - -13. Let s = 5.01 + -5. Let l = y + s. Is l smaller than 0? False Let a = 12 - 10. Suppose a = k + 4. Is k smaller than 0? True Let m be 0 + 2 + 5 + 1. Suppose -3*b + m*b = 0. Is 1/5 > b? True Suppose -h - 3*h - 2*d = 10, -h - 13 = 4*d. Let r be h*(-1 + (2 - 0)). Let p be ((-2)/(-1))/(-8)*1.
{ "pile_set_name": "DM Mathematics" }
= 114/11 + -695/66. Let h = -0.4 - -0.1. Put j, 0, h in ascending order. h, j, 0 Let v = 145/2 - 51481/710. Let a = 331/2840 - v. Sort 0.3, 0.2, 0, a in descending order. 0.3, 0.2, a, 0 Let d be (-14)/(-40) + (-2)/(-8). Let y(g) = -25*g**3 + 468*g**2 + 1198*g - 29. Let n be y(21). Put 0.3, d, n in ascending order. n, 0.3, d Let u = 706.6 - 706.2. Put -5/3, 6, -0.1, 3.6, u in increasing order. -5/3, -0.1, u, 3.6, 6 Let y = 15 + -21. Let b(r) = r**2 + 5*r - 2. Let z be b(y). Let v be 6 - 1490/255 - (-4)/(-34). Sort z, v, -0.4 in ascending order. -0.4, v, z Let d = 1119 - 1118.99. Sort 0.1, -0.1, -21, d in increasing order. -21, -0.1, d, 0.1 Let p = 26 + -26. Let g be (-3*28/(-882))/(6/(-180)). Put 0.3, g, p in descending order. 0.3, p, g Suppose 6*s = 2*s. Let y(j) = -2*j**2 + 9*j + 1. Let w be y(5). Let g = 357 + -355. Sort w, s, g in increasing order. w, s, g Let q(b) = 8*b**2 + 37*b - 32. Let f(z) = 3*z**2 + 19*z - 16. Let x(u) = 5*f(u) - 2*q(u). Let o be x(20). Suppose 0*w = 3*w. Put 1, o, w in increasing order. w, 1, o Let y be 320/30*63/2. Let q = 333 - y. Sort 5, 24, q, -1 in increasing order. q, -1, 5, 24 Suppose 0*d - 3*d + c = -10, -3*d - 2*c = 2. Let n be d/2 + -2 + 43. Suppose 0 = -215*l + 495 + 150. Sort 4, n, l in descending order. n, 4, l Let y = -15 + 5. Suppose 24*n = -7*n + 248. Suppose 6 + 26 = n*q. Sort q, y, 5 in increasing order. y, q, 5 Suppose 11*z + 3 - 47 = 0. Suppose 25 = -7*v + z. Sort -1, v, 2, 22 in increasing order. v, -1, 2, 22 Let q = 235 + -184.2. Let h = 38.36 + -89.36. Let w = h + q. Sort -1/10, w, -0.08, -2/7 in increasing order. -2/7, w, -1/10, -0.08 Let j = 9 - 9.1. Let t = -3.253 - -8.253. Sort 2/3, j, t, 2/11 in descending order. t, 2/3, 2/11, j Let l be 6/21 - 270/1680. Put -5, 1, l, 3, -2 in decreasing order. 3, 1, l, -2, -5 Let f = -75.57 - -3.17. Let v = f + 72.1. Sort -38, v, 4, -4. -38, -4, v, 4 Let s = 87040531/242284 - 1/60571. Let q = 360 - s. Let o = -152/3 + 50. Put 3/11, q, o in descending order. q, 3/11, o Let m(u) = 2*u**3 - u**2 - 3*u + 3. Let d(v) = v - 1. Let a(p) = -6*d(p) - 2*m(p). Let c be a(2). Let f be 360/c*1/6*-2. Sort 7, f, -2. -2, f, 7 Let t be (-52)/(-5) - (-10)/(-25). Suppose 0 = 7*z - t*z + 6. Let d(p) = 2*p + 25. Let g be d(-12). Put g, z, -3, -5 in decreasing order. z, g, -3, -5 Let r be (3*((-8)/6)/2)/(-1). Let y(i) = -5 + 4 + i**3 - 1 - 10*i**2 - r. Let j be y(10). Sort -3, 12, j in descending order. 12, -3, j Let x = 110.07 - 110.37. Let n = -8 - 3. Let y be (-16)/10*(-2)/(-8). Put x, y, n in increasing order. n, y, x Suppose -39*o + 166 = 37*o + 7*o. Sort 1, -3, 6, o, 4 in descending order. 6, 4, o, 1, -3 Suppose -5*i + 100 = -2*s - 8*i, -3*s + 5*i - 188 = 0. Let w be (42/(-273) + s/(-26))/16. Sort 5, 4, w, -2/7 in decreasing order. 5, 4, w, -2/7 Let r be ((-2760)/600)/(6/(-10)) + -7. Sort 178, -2/9, 2, r in decreasing order. 178, 2, r, -2/9 Suppose 0 = 5*d + 112 - 137. Suppose 0 = 5*y + n - 24, 28 = d*y - 3*n - 0*n. Put y, -2, -4, 2 in descending order. y, 2, -2, -4 Let f be (-17)/5 + 1 - -2. Let u = 216425 - 216420. Sort f, -1, -3, u in descending order. u, f, -1, -3 Let x be -4 + (-4 - -9) + (-8 - -3) + 9. Let d be ((-4)/6)/(4/6). Sort 2, d, x. d, 2, x Let c = 3 + -3.1. Let r be -12 + 11 - -4 - (-9 - 742/(-63)). Sort 0.003, r, c in descending order. r, 0.003, c Let r be (-1 + 85)*(-11 - -10). Let s = r - -88. Let d = 23 - 20. Put 1/7, 1/4, s, d in decreasing order. s, d, 1/4, 1/7 Let i be (-8 - (-1434)/27) + (-4)/36. Suppose -i + 9 = -9*c. Suppose 0 = -3*t - 2*v - 3 - 7, v = -2. Put c, -19, t in increasing order. -19, t, c Let o = 38.54 + -38.7. Let u = -166 - -164. Put 5, u, o in descending order. 5, o, u Let m(u) = -u**3 - u**2 + 3*u + 5. Let o be m(-3). Let g be (-3)/(o/4 - 5). Sort 5, g, 0 in descending order. 5, g, 0 Let g = 1223.7 + -1224. Sort -26, -2, g, -5 in ascending order. -26, -5, -2, g Let y(z) = z**2 - 15*z. Let l be y(0). Let p = 7 - 5. Put -16, l, -2, p in decreasing order. p, l, -2, -16 Suppose h + 84*h + 1190 = 0. Sort -4, h, 1, 5 in descending order. 5, 1, -4, h Let r = -354 - -338.1. Let y = r - -11.9. Put -1, -3, -1/12, y in ascending order. y, -3, -1, -1/12 Suppose 70*p - 408 = 46*p. Let t be (-32)/p + 178/(-1513). Put 7, -6, t in decreasing order. 7, t, -6 Let n be 2 + 13/((-455)/90). Let v = n + 31/42. Let o be 1/((-124)/8 + -5). Put o, v, 2, -3 in decreasing order. 2, v, o, -3 Let w = 68.06 + -69. Let n = w + -1.02. Let d = n - 0.04. Put 0.5, -0.002, d in descending order. 0.5, -0.002, d Let j = -11.23 + -170.47. Let d = j + 182. Put d, 16/9, 1 in decreasing order. 16/9, 1, d Let h = -3195 - -92653/29. Put -1, -2, 1/7, h, -4/3 in decreasing order. 1/7, h, -1, -4/3, -2 Suppose 30*r - 8*r = -70 - 18. Suppose -2*w = -9 + 13. Sort 5, r, -0.05, w in decreasing order. 5, -0.05, w, r Let u be ((-8)/6693)/((-4)/(-498)). Let s = u + 6/97. Let m be (-1 + (-15)/(-12))*1. Sort 2, -0.2, s, m. -0.2, s, m, 2 Suppose 0 = -2*k, 71*x - 36*x = 30*x + 2*k + 10. Put -1, -86, x, 4 in decreasing order. 4, x, -1, -86 Let u be ((-1)/((-1)/1) - 2)*-5. Let n = 0 - 3. Let t = -234 - -237. Put t, n, u in decreasing order. u, t, n Suppose 5*w - 2*i + 5 = 0, -2*i - 3*i - 40 = 5*w. Suppose 6*t = 13*t + 133. Let b = t + 20. Sort b, w, -5 in increasing order. -5, w, b Let q = 5 + -11/2. Let p = 207/610 - 17/122. Sort q, 0.3, p, 11 in decreasing order. 11, 0.3, p, q Suppose -109 = 11*v - 10. Let w = 61/7 + v. Put 0.2, 75, w in descending order. 75, 0.2, w Let w = -0.017 + 213.017. Let m = w - 216. Sort m, 2/27, 1 in ascending order. m, 2/27, 1 Let d = 467 + -471. Let c be 0 - ((4 + 2 - 0) + d). Put -10, c, -3, -0.1 in decreasing order. -0.1, c, -3, -10 Suppose d + 3*a + 38 = -2*a, 0 = 3*d - a + 50. Suppose 311 = 46*f + 268*f + 81*f - 2849. Put 0.1, d, f in ascending order. d, 0.1, f Let k = 243.0328 + -0.0328. Let g = -243.2 + k. Sort 11, g, -1, 2 in descending order. 11, 2, g, -1 Let g = 108 + -111. Let h(x) = x**2 - 9*x + 9. Let y be h(5). Put y, g, -5 in increasing order. y, -5, g Let z = -700 + 719. Suppose 72 = -d + z*d. Sort 5, d, 17 in ascending order. d, 5, 17 Suppose -4*w = 4*f - 4, -5*w + 7 = f + 2. Let s = 3 - w. Let d = 4391 + -13169/3. Put 4, d, -0.2, s in descending order. 4, s, d, -0.2 Let x = -1.8 + 1.5. Let d = 0.077 + -0.08. Let q = d - 0.197. Sort x, q, -3/7 in decreasing order. q, x, -3/7 Let l = 2 + -4. Let a be (-870)/(-348) + 20/8. Sort 7, a, l in decreasing order. 7, a, l Let q(i) = -i**3 - 7*i**2 - 10*i - 2. Let p(s) = 2*s - 21. Let w be p(8). Let j be q(w). Let x be (-4)/(j/((-14)/5) - 1). Sort x, -1, 4/7 in ascending order. -1, 4/7, x Let a = -8 + 6. Suppose 6 = -5*g - 9. Suppose 24*b = 21*b + 98 - 92. Sort b, -4, a, g. -4, g, a, b Let l = -0.024 + -0.276. Let u(d) = d + 13. Let q be u(-14). Sort 2/19, l, 3, q. q, l, 2/19, 3 Let l = -342.7 - -346.7. Sort 3/28, l, -2, 2 in decreasing order. l, 2, 3/28, -2 Suppose -6*b + 95 = 13*b. Suppose 0*c - 2*c + 9*c = 0. Sort -1, -3, c, b. -3, -1, c, b Let p(v) = 0*v + 0 + 0 - 2*v + 7. Let m be p(6). Let o be -4*24/(-32) + -1. Put o, -8, m in decreasing order. o, m, -8 Let h be 27126/(-792) - (2/1 - 10/8). Sort 1, h, -4 in ascending order. h, -4, 1 Suppose -3*l - 56 + 72 = -2*h, 3*h - 4*l + 24 = 0. Put h, 5, 1, 22 in descending order. 22, 5, 1, h Let i(v) = -5*v - 9. Let x be i(11). Let z = -3877 - -3875. Sort z, 2, x. x, z, 2 Let u be 0 + -1 - (1020/(-24))/17. Let q = -209 - -207. Sort q, 0.09, -1, u in decreasing order. u, 0.09, -1, q Suppose -152*x + 156*x = -5*m + 20, 3*x = m + 15. Put 3, -203, 1, -3, m in ascending order. -203, -3, m, 1, 3 Suppose 5*q + 13263 = 28*d - 31*d, -d + 13259 = -5*q. Put 4, q, 2 in increasing order. q, 2, 4 Let s = -656.7 + 39.2. Let k = 618 + s. Sort 2, -4, k, -1/2 in decreasing order. 2, k, -1/2, -4 Let t = -40034 - -40029. Let b = -194 + 90. Sort 0, b, t, -0.1 in ascending order. b, t, -0.1, 0 Let u be -4*(-1 + (-2)/(-8)). Suppose -6*l + 12 - 24 = 0. Let o be 35/(-10)*l + -5. Put u, o, -15 in descending order. u, o, -15 Let l = -211 - -207. Let i = -0.406 + 0.306. Suppose 0 = t + 7 - 2. Sort i, l, t. t, l, i Let c be (-2)/(-3) + 26/6. Let f(z) = 9*z**2 - 27*z. Let g(i) = -14*i**2 + 40*i. Let k(s) = c*g(s) + 8*f(s). Let l be k(8). Put -4, -5, l in descending order. l, -4, -5
{ "pile_set_name": "DM Mathematics" }
3)*(-1 + 22). 18 Let r = -28608 - -28649. What is the remainder when 943 is divided by r? 0 Let h(y) = y**2 - 8*y - 3. Let l be h(9). Suppose 3*k - 189 = -l*k. Suppose 2*q = -q + k. Calculate the remainder when 32 is divided by q. 4 Let r be (-3 + -1)*250/(-8). Let h = r + -58. Let x = -126729 + 126755. Calculate the remainder when h is divided by x. 15 Let o = -119 - 136. Suppose 3*c - 48 = -33. Calculate the remainder when o/34*(-4)/c is divided by 4. 2 Let l be (520/(-24))/(2/6). Let g be (-1)/(-2) + 438/4. Let j = l + g. What is the remainder when j is divided by 17? 11 Suppose -288*c + 3 = -287*c. Suppose c*n + n - 196 = 0. What is the remainder when n is divided by 10? 9 Let l = 3315 + -3034. What is the remainder when l is divided by 44? 17 Let q = 23589 + -21328. Calculate the remainder when q is divided by 189. 182 Suppose 4*j - 4*o = j + 248, 5*o = 4*j - 330. Suppose -15*i + 410 - 1325 = 0. Let h = j + i. Calculate the remainder when h is divided by 8. 3 Suppose 0 = c + 4*p - 56, 5*c + 4*p - 110 = 106. Calculate the remainder when 395 is divided by c. 35 Calculate the remainder when 459 - -45*(-3)/15 is divided by 65. 60 Let d = -261 - -263. What is the remainder when 359 is divided by d? 1 Suppose 2*t = 3*g + 175, g = -3*t + 4*g + 261. Let z = t - 51. Calculate the remainder when z is divided by 18. 17 Let v = -63 - -115. What is the remainder when (-49 - -48)/((-2)/386) is divided by v? 37 Suppose -47 = -2*i + 39. Let z(u) = u**2 - 11*u - 40. Let j be z(14). Suppose 60 = 3*q + j*q. Calculate the remainder when i is divided by q. 7 Let k(i) = 6*i + 158. Let n be -25 + 4 - (-5 - -1)/(-4). Calculate the remainder when 101 is divided by k(n). 23 Let s(b) = -b + 34. Let c(z) = -7*z - 68. Let o = 17 - 31. Let w be c(o). What is the remainder when 11 is divided by s(w)? 3 Let a(y) = -5*y**2 + 25*y - 87. Let l(u) = -9*u**2 + 51*u - 176. Let w(f) = 7*a(f) - 4*l(f). Calculate the remainder when 61 is divided by w(3). 10 Suppose -5*h - 3*s = -119 - 196, 0 = -3*h - s + 185. What is the remainder when 2155 is divided by h? 55 Calculate the remainder when 2721 is divided by ((347264/(-192))/((-4)/(-2)))/(4/(-12)). 8 Suppose -x = n - 75, 0 = -7*n + 6*n - 4*x + 81. Calculate the remainder when 1750 is divided by n. 71 Suppose 0 = y + 4*z - 100, -4*y + 4*z = -3*y - 100. Let l be 45/(-30)*6 - -65*1. Let f = y - l. Calculate the remainder when f is divided by 23. 21 Let j = -124 - -128. Suppose 4*o + 2*y + 20 = 210, -4*o = j*y - 192. What is the remainder when o is divided by 10? 7 Suppose 745*c = 749*c - 28. What is the remainder when 253 is divided by -64*(13/(-91))/(2/c)? 29 Suppose 9*b = -0*b + 2*b. Suppose 2*s - 5*i - 19 = -b*s, -4*i = -3*s + 32. What is the remainder when 34 is divided by s? 10 Suppose -2*l = 4*p - 172, -9*p - 3*l + 132 = -6*p. Let z(f) = -3*f**2 + 29*f + 4. What is the remainder when p is divided by z(9)? 20 Suppose 0*z + 5*z - 5*b = 5, 0 = 4*z + 5*b - 31. Suppose 0 = -z*g + 35 + 125. What is the remainder when 357 is divided by g? 37 Let k(t) = 5*t - 26. Suppose 0*f - 5*f + 30 = 0. Let q be k(f). Suppose q*d + 5*b - 32 = 24, -b + 72 = 4*d. What is the remainder when 36 is divided by d? 17 Let w = -4885 + 5622. Calculate the remainder when w is divided by 9. 8 Let s = -69 - -97. Let n(d) be the first derivative of d**4/4 - 6*d**3 + d**2/2 - 31. What is the remainder when s is divided by n(18)? 10 Suppose -4*m = 2*h - m - 211, 3*m - 9 = 0. Let a(o) = -622*o + 25528. What is the remainder when h is divided by a(41)? 23 Calculate the remainder when 1572 is divided by (-119*20/170)/(0 - (-4)/(-6)). 18 Let s = -337 - -401. Let a = s - 22. What is the remainder when 154 is divided by a? 28 Suppose -5*r + 33*r + 17*r - 7290 = 0. Suppose -4*k - 11 = 5. What is the remainder when r is divided by -3 - -1 - 68/k? 12 Let l(d) = 0*d**3 + d**3 - 10*d - 6*d**2 - 6 + 30*d - 12*d. Let o be -2 - (-7*2)/2. What is the remainder when 32 is divided by l(o)? 5 Suppose 2 = -2*c + 8. Suppose -b - c - 9 = 0. What is the remainder when 21 is divided by (b/3)/8*-22? 10 Suppose -5 = -w - 4. Let n(q) be the third derivative of 3*q**5/20 - q**4/24 + 2*q**2. Calculate the remainder when 30 is divided by n(w). 6 Let h = -568 + 615. Suppose 2*q = 5*b - 34, 6*b + 5*q - h = 2*b. What is the remainder when 28 is divided by b? 4 Suppose c - 4*y - 3 = 0, -862*y = 3*c - 866*y - 41. What is the remainder when 4882 is divided by c? 18 Suppose -17 - 270 = -9*x + 19. What is the remainder when 193 is divided by x? 23 Suppose 18035 = 132*d - 35161. Calculate the remainder when d is divided by 109. 76 Suppose 31*m = -35*m + 209 + 6259. Calculate the remainder when 2159 is divided by m. 3 Let l = 506 - 282. Calculate the remainder when l is divided by 123/9*((-1)/1 + 4). 19 Let z = 23444 + -21193. What is the remainder when z is divided by 61? 55 What is the remainder when 5/(-7 - (2/(-54))/(3/570)) is divided by 53? 29 Suppose -439 = 3*l - 2*f, l = -2*l + 3*f - 441. Let g = 289 + l. What is the remainder when g is divided by 21? 18 Let f = -2982 - -3001. Calculate the remainder when 1556 is divided by f. 17 Suppose 9*i + 105 = 24*i. Calculate the remainder when 67 is divided by (6/(-14) - 25/i) + 32. 11 Suppose 108 = -5*g + 8*g. Let z be (-84)/15 + (-2 - (-39)/15). Calculate the remainder when g is divided by 13*(z + 2)/(-3). 10 Suppose -2161*y + 2164*y + n - 424 = 0, 0 = -3*y + 2*n + 430. Calculate the remainder when y is divided by 9. 7 Suppose -14 + 2 = -2*c. What is the remainder when 1976/16 - c/4 is divided by (-250)/(-60)*(9 - 3)? 22 Suppose 0 = -2*b + 3*w + 35, -5*b + 0*w - w = -45. Let o be ((-135)/b)/(-1 + (-3)/(-4)). Suppose -3*v = -o + 30. What is the remainder when 55 is divided by v? 7 What is the remainder when 218 is divided by -2*(1 + -9 + (-6 + 10 - 57))? 96 Let k(h) = h - 16. Let n = 10 - 3. Let t be k(n). Let i(p) = p**2 + 6*p + 10. What is the remainder when 71 is divided by i(t)? 34 Suppose -5*i - 3*t = -232, -i + 0*t + 46 = t. Let w(g) = -g + 28. Let n be (2 - 2/10)*(6 - -4). Calculate the remainder when i is divided by w(n). 7 Let z be 405 + ((-2)/(-3) - (-64)/(-24)). Let f = z - 194. What is the remainder when f is divided by 30? 29 Let n = -14115 - -14360. What is the remainder when 1946 is divided by n? 231 Let y(q) = 2*q**3 + 35*q**2 - 43*q - 439. What is the remainder when 1671 is divided by y(-18)? 10 Let n(h) = -8*h - 3. Suppose -4*g + x = -91, -5*g + 4*x - 68 = -7*g. What is the remainder when n(-12) is divided by g? 21 Suppose -j + 6*j + 4*r - 569 = 0, 0 = -j + 3*r + 110. Suppose 0*a + 106 = 3*m - 2*a, 4*m + 3*a - j = 0. Calculate the remainder when 123 is divided by m. 27 Let q be (-2)/(4/(-528)*-3). Let z = 81 + q. Calculate the remainder when 25 is divided by 55/4 - (z + 5)/8. 11 Suppose 2904 = -27*m + 31*m - 4*t, 2*m + 2*t - 1480 = 0. What is the remainder when m is divided by 109? 79 Let h be 1*(-6)/21*-7. Suppose 5*n + 2*t = n + 42, 51 = h*n - 5*t. Calculate the remainder when 21 is divided by n. 8 Let i = 5333 + -563. What is the remainder when i is divided by 37? 34 Suppose -2*g - 1035 = 7*g. Let y = g + 114. Calculate the remainder when 67 is divided by y/(-2) - 105/(-6). 13 Suppose 23*k - 12877 = -4827. Suppose -k = -33*o - 53. What is the remainder when 125 is divided by o? 8 Suppose u + 21142 = 3*p, -41*p + 46*p + 2*u - 35233 = 0. Calculate the remainder when p is divided by 172. 167 Suppose -m + 5*g + 0 + 37 = 0, -3*m + 5*g = -61. Let a(b) = -3*b + 79. Let v be a(-6). Let z = v - 90. Calculate the remainder when m is divided by z. 5 Suppose 4*o - 4009 + 1225 = 0. Calculate the remainder when o is divided by 121. 91 Let y(m) = 24*m**3 - 7*m**2 - 1. Let i be y(-2). Let d = i + 223. What is the remainder when ((-45)/(-10))/(1/2) is divided by d? 1 Let w(d) = -d**3 + 19*d**2 - 15*d - 5. Let i = -301 - -319. Let z = 16 + -3. Calculate the remainder when w(i) is divided by z. 10 Suppose -25*k = -624 + 1553 - 5629. Calculate the remainder when k is divided by 43. 16 Suppose -3*b = g - 3*g - 930, 12 = -4*g. What is the remainder when b is divided by 4/3 - 209/(-57)? 3 Let y(l) = 2*l**2 + 14*l. Let k be y(-16). Suppose 0 = -3*h - 9*h + k. Calculate the remainder when 69 is divided by h. 21 Suppose x = 2, 2*p + 5*x = -1 + 15. Let
{ "pile_set_name": "DM Mathematics" }
3 + r**2 - 145*r + 411. Calculate g(3). -555 Let v(c) = c**2 + 3159*c + 50268. Calculate v(-16). -20 Let p(s) = 1287*s - 11500. What is p(9)? 83 Let o(m) = 1042*m + 162575. Determine o(-156). 23 Let v(g) = -7*g**2 - 2431*g + 4209. Determine v(-349). 21 Let x(s) = s**3 + 15*s**2 - 4701*s - 79334. Calculate x(-17). 5 Let y(k) = -k**3 - 54*k**2 + 133*k - 74. Calculate y(-56). -1250 Let o(d) = -2*d**2 + 110*d + 893. Calculate o(63). -115 Let z(m) = m**3 - 271*m**2 - 20660*m + 4675. What is z(333)? 13 Let p(s) = 621066*s - 50306345. Give p(81). 1 Let q(j) = -1741*j + 121693. Calculate q(70). -177 Let a(c) = 3*c**3 - c**2 - 28*c + 127. Determine a(7). 911 Let z(v) = -102*v + 2556. Determine z(24). 108 Let x(w) = 3*w**2 + 57176*w + 228696. Determine x(-4). 40 Let a(l) = -1406*l - 208348. What is a(-148)? -260 Let k(v) = v**3 - 6*v**2 + 497*v + 3835. What is k(-7)? -281 Let d(h) = 1012*h + 1368. Determine d(-1). 356 Let f(j) = -24*j**2 - 1504*j - 10201. Give f(-55). -81 Let f(c) = -44*c**2 + 998*c + 315. Determine f(23). -7 Let o(r) = 99*r**2 + 2441*r - 192. Calculate o(-25). 658 Let o(q) = -2*q**3 + 15*q**2 + 21*q - 234. Give o(10). -524 Let g(k) = -3*k**2 - 255*k - 463. Calculate g(-83). 35 Let h(m) = -1159*m - 4635. Give h(-4). 1 Let x(d) = -3*d**3 + 35*d**2 + 53*d - 556. Determine x(16). -3036 Let k(i) = -11*i**2 + 794*i + 337. Give k(73). -320 Let k(g) = 44*g**2 - 2945*g - 77. What is k(67)? 124 Let i(h) = 4*h**2 - 4676*h - 46636. Determine i(-10). 524 Let o(x) = 347*x - 2948. Calculate o(9). 175 Let g(b) = -20*b - 2824. What is g(-263)? 2436 Let i(t) = t**3 + 29*t**2 + 133*t + 150. Give i(-24). -162 Let h(f) = f**2 - 275*f + 17030. Calculate h(94). 16 Let z(w) = 38*w**2 - 123*w - 1784. Calculate z(-5). -219 Let r(n) = 564*n + 460. What is r(-2)? -668 Let u(o) = -6708*o + 113944. What is u(17)? -92 Let m(r) = r**3 - 26*r**2 - 2891*r + 36673. Determine m(12). -35 Let o(f) = -9*f**2 - 281*f - 2195. Give o(-14). -25 Let v(h) = 18*h**2 - 291*h - 1460. Calculate v(-4). -8 Let q(h) = -3994*h + 59920. Determine q(15). 10 Let v(n) = n**2 + 4645*n + 37094. Calculate v(-8). -2 Let x(o) = -2*o**2 - 89*o - 86. Determine x(-11). 651 Let h(s) = -24*s**2 - 2161*s - 2094. What is h(-89)? 131 Let m(w) = -358*w - 30417. What is m(-85)? 13 Let x(g) = -2361*g - 25478. Calculate x(-11). 493 Let w(u) = -4001*u + 115748. Determine w(29). -281 Let z(k) = -k**3 - 18*k**2 - 10647*k - 191639. Give z(-18). 7 Let b(m) = 6*m**3 - 15*m**2 + 1650*m - 3294. What is b(2)? -6 Let k(v) = 2*v**2 - 134242*v + 5902786. Determine k(44). 10 Let v(c) = -2*c**3 + 44*c**2 + 56*c - 1495. Determine v(18). 2105 Let l(g) = g**2 - 96*g + 2056. Determine l(59). -127 Let z(y) = -y**2 + 59764*y - 1792034. Give z(30). -14 Let h(c) = -c**3 + 12*c**2 - 45*c + 2343. Calculate h(17). 133 Let s(y) = y**3 + 39*y**2 + 1202*y + 52690. What is s(-41)? 46 Let v(j) = -411*j**3 + 65*j + 65. What is v(-1)? 411 Let u(l) = -l**3 + 54*l**2 - 676*l + 1046. Give u(36). 38 Let x(n) = 2*n**3 - 13*n**2 - 378*n + 3065. What is x(8)? 233 Let x(b) = -1504287*b - 15042869. What is x(-10)? 1 Let d(r) = -16756*r - 100571. Calculate d(-6). -35 Let y(m) = 44*m**2 + 53*m + 21. Give y(-1). 12 Let g(f) = 21831*f + 40889461. Determine g(-1873). -2 Let d(f) = 1039*f**2 - 80001*f - 88. Determine d(77). 66 Let f(v) = -v**3 - 3*v**2 - 206*v + 3361. What is f(14)? -2855 Let y(i) = -2456*i - 68774. Give y(-28). -6 Let s(a) = -3*a**2 + 21*a + 4063. Calculate s(41). -119 Let j(u) = -u**2 - 87*u + 10435. Give j(-154). 117 Let d(h) = 168879*h - 1519975. Give d(9). -64 Let o(i) = -3977*i + 23830. What is o(6)? -32 Let d(y) = 2584*y - 87619. Calculate d(34). 237 Let n(k) = 749458*k - 17237538. What is n(23)? -4 Let i(b) = 3990651*b + 19953230. Give i(-5). -25 Let n(v) = -4*v**2 + 2081*v + 12581. Give n(-6). -49 Let t(i) = -i**3 - 118*i**2 + 231*i - 573. Give t(-120). 507 Let s(h) = 8*h**2 + 10499*h - 665906. Determine s(-1373). -1 Let z(x) = -3748*x - 1015704. Determine z(-271). 4 Let c(f) = 7*f**3 + 1586*f**2 - 2259*f + 4798. Give c(-228). 10 Let v(x) = -x**3 + 60*x**2 + 102*x - 31038. Calculate v(31). -7 Let x(j) = -4*j**2 + 136*j + 1213. Determine x(46). -995 Let u(z) = 83780*z + 335163. Determine u(-4). 43 Let n(a) = -a**3 - 21*a**2 - 156*a - 417. Determine n(-6). -21 Let b(g) = -419*g**2 - 134065*g + 4790. Give b(-320). -10 Let d(a) = -2*a**3 + 501*a**2 - 18010*a + 143. What is d(207)? -64 Let p(h) = -9*h**3 + 2498*h**2 - 15986*h - 778. Determine p(271). 35 Let k(x) = x**2 + 341*x - 15654. What is k(41)? 8 Let r(z) = -399*z**2 + 3999*z - 37. What is r(10)? 53 Let v(x) = 17285*x - 120957. Give v(7). 38 Let u(b) = 59*b**2 - 30*b + 146. What is u(5)? 1471 Let x(z) = -173216*z + 1039298. Determine x(6). 2 Let m(s) = 4*s**3 + 144*s**2 - 238*s - 8532. What is m(-36)? 36 Let o(z) = 2232*z**2 - 6711*z + 50. Calculate o(3). 5 Let r(c) = 2*c**2 - 296*c - 27700. Determine r(213). -10 Let m(n) = -n**3 - 245*n**2 - 710*n + 3767. Determine m(-242). -105 Let k(y) = 73*y + 6005. Determine k(-83). -54 Let k(x) = -175*x + 22500. Determine k(127). 275 Let a(g) = 91*g**2 - 1241*g - 482. Determine a(14). -20 Let f(z) = 70343*z**2 - 7174985*z - 87. Calculate f(102). 15 Let s(n) = -5*n**2 + 360*n - 5240. What is s(15)? -965 Let l(p) = -30787*p - 1631705. Give l(-53). 6 Let t(j) = j**3 - 41*j**2 - 350*j + 6. Give t(49). 2064 Let n(m) = 7565*m**2 + 121042*m + 49. Calculate n(-16). 17 Let l(b) = -b**2 - 27810*b + 2707007. What is l(97)? 28 Let w(j) = -393*j - 33800. Calculate w(-86). -2 Let r(m) = 24498*m - 367471. Calculate r(15). -1 Let k(q) = -q**2 - 231*q + 6665. What is k(26)? -17 Let q(g) = -7*g**3 + 4*g**2 + 317*g - 313. Give q(1). 1 Let t(i) = -2*i**3 + 35*i**2 - 232*i + 615. What is t(7)? 20 Let f(i) = i**3 - 9*i**2 - 536*i + 3341. Calculate f(6). 17 Let f(d) = 15*d**2 - 835*d + 5815. Determine f(7). 705 Let y(m) = 63*m**2 + 1369*m - 5169. What is y(-25)? -19 Let d(c) = 3*c**3 + 265*c**2 - 3502*c - 193. Give d(-100). 7 Let u(j) = -2*j**2 - 511*j + 4217. Give u(8). 1 Let n(k) = 7229*k + 12151950. Give n(-1681). 1 Let w(n) = 1262*n - 424045. What is w(336)? -13 Let d(u) = 313*u - 24070. Calculate d(66). -3412 Let t(b) = 43*b**3 - b**2 - 74*b + 74. What is t(1)? 42 Let h(g) = -76*g**2 + 20376*g - 2377. Calculate h(268). -233 Let d(y) = 3110*y**2 + 1334190*y + 10. What is d(-429)? 10 Let y(k) = -14*k**3 - 21142*k**2 - 3002*k + 27181. Give y(-1510). 1 Let i(o) = 257*o + 2533. Give i(-6). 991 Let z(t) = t**2 - 763959*t + 9931302. Give z(13). 4 Let u(b) = 1547*b + 143. Give u(0). 143 Let h(u) = 3*u**3 + 43*u**2 - 103*u - 105. What is h(-17)? -666 Let d(n) = 65696*n - 13204912. Calculate d(201). -16 Let x(a) = 3487*a - 672982. What is x(193)? 9 Let n(j) = -203*j**2 + 574*j + 770. Determine n(-1). -7 Let o(t) = -4455*t + 1982434. Calculate o(445). -41 Let h(r) = -83*r + 1780. What is h(18)? 286 Let r(o) = 8*o**3 - 12*o**2 - 31*o + 265. Determine r(6). 1375 Let f(l) = l**3 - 80*l**2 - 962*l + 5506. Calculate f(90). -74 Let g(c) = 42*c**2 - 27491*c - 12448. Determine g(655). -3 Let f(g) = -562*g - 145560. What is f(-259)? -2 Let f(g) = -983*g**2 - 1757*g - 1758. Calculate f(-1). -984 Let z(t) = -5*t**2 + 3448*t + 17329. Determine z(-5). -36 Let h(i) = 2*i**2 + 120046*i - 360135. Give h(3). 21 Let r(f) = 60897*f - 68. Calculate r(0). -68 Let r(g) = 242*g + 15707. What is r(-65)? -23 Let q(r) = -2*r**2 - 1263*r - 63426. Give q(-55). -11 Let x(o) = 1126*o - 21516. Give x(17). -2374 Let o(s) = 1056*s - 83377. What is o(79)? 47 Let u(j) = -2*j**2 + 1928*j - 52567. Calculate u(28). -151 Let u(z) = -5*z**2 + 143*z - 513. What is u(4)? -21 Let v(u) = 1307*u + 12883. What is v(-10)? -187 Let b(n) = 76813*n - 153628. Give b(2). -2 Let m(l) = 72*l**2 - 4244*l - 122. What is m(59)? 114 Let a(n) = 1397*n**2 - 48862*n - 1191. Calculate a(35). -36 Let o(f) = -3*f**3 + 414*f**2 - 423*f + 1593. What is o(137)? -51 Let n(m) = -2*m**2 - 140*m - 606. What is n(-69)? -468 Let l(k) = -k**3 + 14271*k**2 - 156869*k + 101. Calculate l(11). 2 Let u(o) = -17244*o - 68805. Give u(-4). 171 Let h(q) = -q**3 + 62*q**2 - 351*q - 2095. Determine h(55). -225 Let c(w) = 69*w**3 - 5*w**2 + 10*w. Determine c(2). 552 Let w(n) = -134*n**2 - 507*n + 135. Determine w(-4). 19 Let d(m) = 21460*m + 3455
{ "pile_set_name": "DM Mathematics" }
49461419 What is 30.1 - 13378799.1014? -13378769.0014 Calculate 26 - 5.34596032848. 20.65403967152 Calculate 4646.3 + -307828. -303181.7 Work out -0.741 - -2255443683. 2255443682.259 0.4 - 78.6677568472 -78.2677568472 Put together 398899024.6 and -0.05. 398899024.55 18119044736 + 679.4 18119045415.4 Subtract -1119745525787 from -4.3. 1119745525782.7 What is 0.4 - -150315.703835399? 150316.103835399 1698886591 - 60276 1698826315 What is 0.5 minus 95945536326? -95945536325.5 Total of 6767 and -7393259142. -7393252375 What is 443 less than 0.045482327979? -442.954517672021 What is -27076 minus -0.74888305? -27075.25111695 What is 383645698031 minus 0? 383645698031 What is 4124.594469093 + -0.3? 4124.294469093 What is -24 plus 597877917.2? 597877893.2 Work out -34 + -8390497.387. -8390531.387 Work out -14933 - 626.008578. -15559.008578 Calculate -1 - 181382062444. -181382062445 Put together 1289.639025 and 8.7. 1298.339025 What is 94200251 plus -1.011? 94200249.989 What is -0.09 + 8741690.0256? 8741689.9356 54759 - 6265507 -6210748 Add together -20494257.3 and 71004. -20423253.3 What is 0.039 take away 7630723425329? -7630723425328.961 What is -353.49599 less than -196.91? 156.58599 Subtract -0.0316 from 199721.89. 199721.9216 Work out 342.7 + -0.0852354724. 342.6147645276 What is -51009549665 minus 0.2? -51009549665.2 What is 1677061568713 - -0.006? 1677061568713.006 What is 58.52637258 take away -1874? 1932.52637258 What is 0.7 take away 46036971.934? -46036971.234 What is 0.506822335776502 - -0.1? 0.606822335776502 Total of -378 and 33836273.506. 33835895.506 What is 7 take away 4144303539? -4144303532 Sum -10580907481.35 and 1. -10580907480.35 Work out -4 - -4380154092816. 4380154092812 Work out -0.58 - 31.98584229. -32.56584229 Work out 6 + 51.1429354413. 57.1429354413 Total of -8.585638466 and -9017. -9025.585638466 Subtract 173983138333084 from 1. -173983138333083 -8799678082816 + 0.3 -8799678082815.7 What is -25 - -1.798424946672? -23.201575053328 Sum 34.347 and 14296280. 14296314.347 What is 2825233 less than -995.4602? -2826228.4602 Add -32063 and -3322.994. -35385.994 Work out -350 - -265159.550244. 264809.550244 What is 0.09591 plus -4.866269? -4.770359 What is 332933860.6 take away -271? 332934131.6 Calculate 4425354575.019 - 48. 4425354527.019 What is 13386.3466 less than 203661? 190274.6534 82.7 - -597680833.9 597680916.6 What is 66867 take away 0.52079281? 66866.47920719 What is 1.071142609 minus 74? -72.928857391 Calculate 18.678 + 7282.219264. 7300.897264 Put together -49970169 and -4903104. -54873273 What is 2388671 minus -237145.93? 2625816.93 What is -0.4 take away -7131.2388338706? 7130.8388338706 Calculate 11 - 3.576672266. 7.423327734 What is 72461410515977 + 2? 72461410515979 What is 3686 plus 196855684? 196859370 Work out -52094608 - -2658353.4. -49436254.6 -0.4 - 184230.6214096 -184231.0214096 What is 0.21794 less than -113447382? -113447382.21794 Work out -6851874983 - -10694.7. -6851864288.3 Add together 0.2 and -119969204824217. -119969204824216.8 What is 65621277111 + -1? 65621277110 What is -575020423 less than -89? 575020334 Subtract 496.9875 from 1255.8439. 758.8564 Subtract 38250.798076 from -93. -38343.798076 Calculate -39554495261.94 + -0.23. -39554495262.17 0.011 + -1222975981262 -1222975981261.989 363226236944+0.4 363226236944.4 Calculate 7414968 - 825. 7414143 Add together 565214 and 0.0407804. 565214.0407804 What is the distance between 3611 and -56875462059? 56875465670 What is -3.1167106 minus -0.23458? -2.8821306 What is -0.16689679 minus 832413? -832413.16689679 What is 17553167635 take away -0.3? 17553167635.3 Subtract 23017697.826 from 3. -23017694.826 Put together 103143 and 31.96937. 103174.96937 Total of -0.1688 and 9134978547. 9134978546.8312 What is -0.003811455260514 minus 1? -1.003811455260514 Calculate 11971555.67 - -7.4. 11971563.07 What is 290 plus -346091424? -346091134 What is -287935538062 take away 0.1? -287935538062.1 Calculate 1878.56495525 - -0.4. 1878.96495525 Sum 0.12 and -6653213645. -6653213644.88 Add together 0.05802 and -2222426. -2222425.94198 What is 64114.193 take away 193971? -129856.807 Put together 53114.1382 and 29800. 82914.1382 Add together -370971 and -0.056242509. -370971.056242509 Calculate 864640194364 + -6.3. 864640194357.7 What is -0.275 take away 47229472654? -47229472654.275 1927+-150528485870 -150528483943 Sum -2936529337948 and -0.01. -2936529337948.01 What is the distance between -0.1 and -6440666072536? 6440666072535.9 What is the distance between 0.3 and 0.970199689237? 0.670199689237 What is -65636434885 - 0.12? -65636434885.12 Sum 436211 and 20834025. 21270236 15169936174+23 15169936197 What is the difference between 1624 and 9201685423? 9201683799 Sum -0.3119009978 and -32. -32.3119009978 2386 + -1676296261 -1676293875 0.625 + 934517.601 934518.226 Add 617353 and -1369004.1. -751651.1 What is the distance between -1915377.7 and -1.387449? 1915376.312551 What is 2959.978 + -0.00762345? 2959.97037655 Subtract 12.27 from -0.342922792. -12.612922792 What is -161081564846 take away -4? -161081564842 What is 17007.36 - -707014? 724021.36 Add 784699 and -6855.678. 777843.322 What is 5 take away -14255.896099253? 14260.896099253 Calculate -1 - -372848363296. 372848363295 What is -796 plus 0.334696739? -795.665303261 Put together -162 and -47499726750. -47499726912 What is the distance between 3 and 5084195.740765? 5084192.740765 What is -134678964 - 33775? -134712739 What is -8.88 minus -2252391389? 2252391380.12 What is 0.1709028 plus 10372486? 10372486.1709028 Calculate -5194275 - -271839. -4922436 Sum -1946905 and 2952957. 1006052 What is -29890240567835 + 1? -29890240567834 What is 0.5 + -199056397.3638? -199056396.8638 Add 4782.57 and -15427414. -15422631.43 Calculate -4.3 + 328226.7641. 328222.4641 Work out -150514536 - -356. -150514180 940299.34751 + 183 940482.34751 What is 63965.651184 take away -1905? 65870.651184 45341656 + -25.1 45341630.9 What is the distance between 1672420 and 76372? 1596048 Calculate -230449 + -729.95127. -231178.95127 Work out 113674890 + -8.916. 113674881.084 What is 0.134 take away 1977394848183? -1977394848182.866 What is the distance between -8 and 69485159363? 69485159371 Sum 0.08 and 95406.2063413. 95406.2863413 -2089.37876 - 1.0241 -2090.40286 What is 2 less than 24068982.536? 24068980.536 Work out 0.141183 - 9056.066. -9055.924817 -33351407642+37.9 -33351407604.1 Sum 703019162061 and 0.3. 703019162061.3 Calculate -93607840 - -11.3. -93607828.7 What is -10198904313.445 less than 0.4? 10198904313.845 Total of -994.70860262 and -7489. -8483.70860262 438.2029276 - 432.65 5.5529276 Work out 5968 - 2.86932082. 5965.13067918 Put together -18711922.2 and -24232. -18736154.2 5.1 - -845762192 845762197.1 Work out -334191192 - 1072.4. -334192264.4 Work out 0.0042 + -289908472. -289908471.9958 Calculate 1370377 + -256654435. -255284058 Add -143807973596 and 766. -143807972830 Calculate -9 + 29861913139087. 29861913139078 What is -1.068633 minus -110013? 110011.931367 Subtract -0.3664505816272 from -0.3. 0.0664505816272 What is 564223 plus -2.9202235? 564220.0797765 Add together 132008306 and 56517. 132064823 What is -23274310.903 minus -4? -23274306.903 Add together -543791.582 and -6.14. -543797.722 Work out -0.153 + -64651.10062. -64651.25362 Add -3175305083 and 0.2671. -3175305082.7329 What is -889 take away 25.66145349? -914.66145349 Calculate 735290.57138 - 3. 735287.57138 What is 107182668970 plus -8? 107182668962 Calculate -2220 + 0.128501233324. -2219.871498766676 What is -1115353.644659 + -1.4? -1115355.044659 Add together 3448860551 and 4. 3448860555 What is 3.49 + -0.0137429185588? 3.4762570814412 Subtract -18 from -866093030717. -866093030699 10894590446.7 + -3302 10894587144.7 What is -27594 minus -9.8614813? -27584.1385187 -13 - -2656717.5174 2656704.5174 What is the difference between 81 and 545039.5798? 544958.5798 Add together -932048732 and 24.0349. -932048707.9651 Put together 3492270.527982 and -19. 3492251.527982 What is -0.1 plus 0.56926933858775? 0.46926933858775 Work out 0.8348708 - -1.6881. 2.5229708 What is -5987674 minus 494.766? -5988168.766 Calculate -7724 + -23.34765. -7747.34765 Sum -23 and 728937
{ "pile_set_name": "DM Mathematics" }
278 + 754 for k. -14 Solve -332 + 1276 = -34*p + 93*p for p. 16 Solve 75*x + 1600 = 19*x - 24*x for x. -20 Solve -75*b - 7*b - 214 + 1198 = 0 for b. 12 Solve 22*b + 20*b - 399 = -15*b for b. 7 Solve 2686 = -35*t - 141*t + 18*t for t. -17 Solve -55*x = 8*x + 119 + 70 for x. -3 Solve 635 - 603 = -95*w - 918 for w. -10 Solve 11*w = -48 + 5 - 1 for w. -4 Solve 0 = -6*q + 21*q + 20*q - 385 for q. 11 Solve -474*l + 180 = -504*l for l. -6 Solve -31*b = -124*b - 558 for b. -6 Solve -62*p - 70*p - 204 = -115*p for p. -12 Solve -21*c = 213 + 81 for c. -14 Solve 0 = 1119*b - 14118 - 2667 for b. 15 Solve -41*t - 1900 = 114*t + 35*t for t. -10 Solve -33*m - 147 - 123 = 60 for m. -10 Solve -52*s - 744 = 41*s for s. -8 Solve 87*h - 26 = 79*h + 6 for h. 4 Solve -1485*z - 5342 = 32776 - 6933 for z. -21 Solve -410 = -68*h + 27*h for h. 10 Solve 11*n + 28 + 22 = -71 for n. -11 Solve -8*k - 98 = -2*k - 68 for k. -5 Solve 12*w - 414 + 65 = -217 for w. 11 Solve -22*w - 73424 + 73314 = 0 for w. -5 Solve 361 = -710*t + 691*t for t. -19 Solve 3*y + 4 - 32 = -19 for y. 3 Solve -34 + 9 = 39*l + 248 for l. -7 Solve -2013*s - 272 = -2030*s + 68 for s. 20 Solve 118*d - 113 = 831 for d. 8 Solve -29*m - 2*m - 4*m = 455 for m. -13 Solve 10242*m + 1211 = 10415*m for m. 7 Solve -88*x + 159*x - 132 = 82*x for x. -12 Solve 5894*r - 5830*r - 64 = 0 for r. 1 Solve 31*p + 92*p + 50 - 1526 = 0 for p. 12 Solve -17*g - 18*g - 320 = 5*g for g. -8 Solve -75*y + 69*y + 6 = 0 for y. 1 Solve -133*g + 2701 - 174 = 0 for g. 19 Solve 0 = 44*b + 33*b + 7*b - 2016 for b. 24 Solve 0 = v + 105 - 86 for v. -19 Solve 0 = -367*k - 4621 + 217 for k. -12 Solve -31*n + 447 = 478 - 465 for n. 14 Solve 17*f - 38*f = -10*f - 121 for f. 11 Solve -1839*y + 1861*y + 220 = 0 for y. -10 Solve -71*o - 28120 = -28617 for o. 7 Solve -11 = -2*k + 3 - 0 for k. 7 Solve -x + 42 = 3*x - 34 for x. 19 Solve -2211*v + 2230*v + 323 = 0 for v. -17 Solve 613 = -116*y - 1127 for y. -15 Solve -4*r - 13 + 0 = -5*r for r. 13 Solve 670*q + 387 + 4793 = -1520 for q. -10 Solve 105*y = -13*y + 77627 - 78925 for y. -11 Solve 583 - 235 = 268*b - 188 for b. 2 Solve -23*c + 13*c - 111 = -121*c for c. 1 Solve -1737 = 115*n - 817 for n. -8 Solve 509 = -85*m + 2379 for m. 22 Solve -12*w + 13*w - 13*w = 0 for w. 0 Solve 6*t - 11*t = -100*t + 1520 for t. 16 Solve 914 + 384 = -118*d for d. -11 Solve -4982 - 3843 = -353*r for r. 25 Solve 0 = -61*m - 675 + 375 - 920 for m. -20 Solve -43*v - 41*v + 8*v + 912 = 0 for v. 12 Solve 123*z + 298 + 563 = 0 for z. -7 Solve 103*x - 567 = 978 for x. 15 Solve 151*a - 1471 + 3585 = 0 for a. -14 Solve -13*k - 10151 = -9917 for k. -18 Solve -339*k + 1266 = 249 for k. 3 Solve 425*f - 104*f = 1926 for f. 6 Solve -165 = -29*d - 78 for d. 3 Solve 16590 = -158*n - 316*n for n. -35 Solve 380*n + 56 = 366*n for n. -4 Solve -1301*z = 21645 + 472 for z. -17 Solve 6368*y - 130 = 6378*y for y. -13 Solve -171*j - 161 + 1358 = 0 for j. 7 Solve 4787*h + 22 = 4788*h for h. 22 Solve 3704*p = 3784*p + 1600 for p. -20 Solve 7*w + 115 = -221*w - 4217 for w. -19 Solve 368*h - 1093 = 747 for h. 5 Solve 3831 - 3881 = -25*r for r. 2 Solve 138*y - 91*y - 846 = 0 for y. 18 Solve -11*x + 30*x = 1709 - 2203 for x. -26 Solve 16*u - u - 198 = -3*u for u. 11 Solve -2144*k + 31395 = -1247*k for k. 35 Solve -264*y + 3275 = 635 for y. 10 Solve 3*m - 16*m - 16*m - 609 = 0 for m. -21 Solve 0 = -10*r - 525 + 435 for r. -9 Solve 312 = -1585*u + 1559*u for u. -12 Solve 0 = -259*z - 271*z for z. 0 Solve -46*j - 6*j - 423 = 253 for j. -13 Solve 0 = -1295*d + 42817 - 10442 for d. 25 Solve -6*z + 28*z = -264 for z. -12 Solve 0 = 63*f - 7354 + 8362 for f. -16 Solve 0 = 36*l - 594*l + 11434 + 284 for l. 21 Solve -30*g - 528 = 5*g + 13*g for g. -11 Solve 148*a - 90*a = -129*a + 3366 for a. 18 Solve -139*a + 54*a - 44*a - 3225 = 0 for a. -25 Solve -26*x = 2058 - 1408 for x. -25 Solve 0 = 6*t - 3115 + 3145 for t. -5 Solve 22815 = 29*o + 21974 for o. 29 Solve 0 = -22*d + 27*d - 5 for d. 1 Solve -59*l = 88*l + 1470 for l. -10 Solve -181*i - 848 + 5011 = 0 for i. 23 Solve -77*b + 467*b - 2695 = -149*b for b. 5 Solve 17*m - 35*m = -29*m + 121 for m. 11 Solve -1425*c = -1327*c - 1372 for c. 14 Solve 20*j - 53 = -37 - 216 for j. -10 Solve 244*a + 17 - 570 = 323*a for a. -7 Solve 3719*n - 3707*n + 12 = 0 for n. -1 Solve 0 = 43*k - 264 + 651 for k. -9 Solve -124*t + 289 = 70*t - 99 for t. 2 Solve 59*l - 1932 = -64*l - 153*l for l. 7 Solve 2000*i - 114 = 2114*i for i. -1 Solve -46*t + 16 - 443 = 33 for t. -10 Solve 175*l - 238 - 787 = -150 for l. 5 Solve -7432 + 7060 = 31*m for m. -12 Solve -393*p - 6724 - 7360 + 2294 = 0 for p. -30 Solve 0 = -117*x + 55*x + 52*x + 260 for x. 26 Solve -85*g + 6165 = -1181*g + 25893 for g. 18 Solve 29*i - 166 = 269 for i. 15 Solve 251*w = 119*w + 112*w - 120 for w. -6 Solve 117 = 67*w - 84 for w. 3 Solve -289 + 856 = -105*c - 273 for c. -8 Solve -j - 182 = -183 for j. 1 Solve -6580 = 326*v + 3*v for v. -20 Solve 446*f - 478*f = 576 for f. -18 Solve 1304 + 2180 = -268*i for i. -13 Solve 181*r + 138*r + 1914 = 0 for r. -6 Solve -169*g + 76 = -73 - 189 for g. 2 Solve 94*w = 292 - 388 - 468 for w. -6 Solve -238*p + 339*p = -385*p + 10692 for p. 22 Solve -33407 + 6173 = 1602*a for a. -17 Solve -541*g = -35*g - 92*g + 7866 for g. -19 Solve 14*q - 1675907 = -1675697 for q. 15 Solve 73*h + 325 = 1288 + 935 for h. 26 Solve 0 = -1996*z + 1955*z + 287 for z. 7 Solve -48*b - 205 = -140 + 271 for b. -7 Solve 835 = -2853*l + 3125*l - 2157 for l. 11 Solve -8*j + 30 = 2*j + 5*j for j. 2 Solve 144 = -154*b + 172*b for b. 8 Solve 2*p - 255546 = -255560 for p. -7 Solve 3 = 14*k + 185 for k. -13 Solve -8*o - 5*o - 21 = 161 for o. -14 Solve 5*n - 2*n + 15 = -0*n for n. -5 Solve -8*u + 31*u + 3*u = 416 for u. 16 Solve -14*v = 23*v - 4*v - 495 for v. 15 Solve -216*z = -567*z + 2537 + 2377 for z. 14 Solve 63*k - 200 = 111*k - 68*k for k. 10 Solve 61*f + 1089 = 160*f for f. 11 Solve -15102*d = -15146*d + 528 for d. 12 Solve 22590*r - 22576*r + 238 = 0 for r. -17 Solve -15*a - 20*a = 37*a - 720 for a. 10 Solve -196 - 59 = 205*t - 1280 for t. 5 Solve -8*m - 20 = -50 - 34 for m. 8 Solve 0 = -86*w - 383 - 1509 for w. -22 Solve -858 = -45*o - 33*o for o. 11 Solve 6*h = 11466 - 11442 for h. 4 Solve 81*i + 1347 + 705 = -27*i for i. -19 Solve -116 = 13*w - 42*w for w. 4 Solve 151*j = -902 - 601 - 309 for j. -12 Solve 0 = -3511*q + 3496*q - 60 for q. -4 Solve 252*r + 1408 - 705 = -1313 for r. -8 Solve -24 = 224*h - 244*h + 156 for h. 9 Solve 256 - 165 = -7*b for b. -13 Solve 80*q = -11*q - 546 for q. -6 Solve -204 = -99*x - 69 + 558 for x. 7 Solve 2420*f - 2613*f = 3474 for f. -18 Solve 20944 - 10204 - 10380 = 10*v for v. 36 Solve 18*s + 34*s + 328 = 11*s for s. -8 Solve 0 = -853*j + 1123*j for j. 0 Solve 3501*r - 1661 = 3350*r for r. 11 Solve 5 - 667 = -36*n - 122 for n. 15 Solve -165*j - 1925 = -25*j + 1575 for j. -25 Solve 10*j + 2*j - 7 = -127 for j. -10 Solve 4 = 58800*l - 58798*l for l. 2 Solve 3*m + 69 - 60 = 6*m for m. 3 Solve 44 + 2488 + 328 = -220*o for o. -13 Solve -3707696 = -7*t - 3707682 for t. 2 Solve -499*i + 8386 = -6085 for i. 29 Solve -71*z + 813 - 571 = -823 for z. 15 Solve -20*g - 81 = -49*g - 52*g for g. 1 Solve -576*t + 638 = -547*t for t. 22 Solve -14515*i - 180 = -14506*i for i. -20 Solve 390 = 616*c + 12094 for c. -19 Solve 14*i - 292 = -194 for i. 7 Solve 32*f + 109 = 499 + 410 for f. 25 Solve -416 + 507 = -13*g for g. -7 Solve -675*g + 3 = -676*g for g. -3 Solve r - 2*r - 8184 = -8173 for r. -11 Solve -73 = 5*t - 108 for t. 7 Solve -134*x = -215*x - 729 for x. -9 Solve 618 = -19*f + 1667 - 764 for f. 15 Solve 349*o + 930 + 5701 = 0 for o. -19 Solve 0 = -2014*b + 1977*b + 481 for b. 13 Solve -298*w + 3512 = -2963 + 1707 for w. 16 Solve 30*z - 4 = -629 + 85 for z. -18 Solve 0 = -5*q - 6879 + 6844 for q. -7 Solve 191*c = 501*c - 3016 - 4424 for c. 24 Solve -1798 = -52*z - 1902 for z. -2 Solve 20 - 54 = 13*v + 148 for v. -14 Solve 0*v - 15*v - 29089 = -28894 for v. -13 Solve 0 = -19*q + 442 - 423 for q. 1 Solve -23*i = -47*i - 8*i + 992 for i. 31 Solve 42*g + 66*g = 864 for g. 8 Solve 21*a - a = 6071 - 6291 for a. -11 Solve -9*d = -1599 + 1527 for d. 8 Solve -192*z + 1016 = -328 for z. 7 Solve 59*b + 152*b = 32*b - 5370 for b. -30 Solve
{ "pile_set_name": "DM Mathematics" }
= -447 - w. Let v = -24 + d. Which is the nearest to -0.1? (a) 0.5 (b) v (c) -4 b Suppose 0 = -2*c + 4. Let v = 31.99 + 0.01. Let o = v + -32. What is the closest to o in 6, c, 4? c Let b = -0.3 - -0.4. Let g = -4545 - -4542. What is the nearest to b in -1, 1/3, g? 1/3 Let r = -144.7 + 140.7. Let l = 97/5 + -20. What is the closest to r in 3/2, l, 1/7? l Let j = -78.7 + 85. Let t = -3.3 + j. Let g = 6 + -11. Which is the nearest to -1/3? (a) 2 (b) g (c) t a Suppose 3*d = 4*i - 14, -2*d - 5*i = -7*d - 30. Let q be (-5)/d + (-20)/8. Let r be 8/(-14)*1/q. Which is the nearest to 0? (a) r (b) -4 (c) 1 a Let l be 16*(44/(-16) + 3). What is the closest to 2/5 in 8, l, 3/4? 3/4 Let a = -0.38 - -0.12. Let b = a - 5.74. What is the nearest to -1/2 in b, 0.5, 1? 0.5 Let n = -17 + 18. Let y = -0.9 + 2. Let f = 0.1 - y. Which is the nearest to f? (a) n (b) 11 (c) 0.2 c Let d = 0.1056 - -0.8944. Which is the closest to d? (a) 2/3 (b) -1/3 (c) -5 a Let y be -2 + 1 + (5 - 2). Let g(f) = -18*f**3 + 2*f**2 - f - 2. Let n be g(-1). Let h = n - 96/5. Which is the nearest to h? (a) y (b) 3 (c) 0.4 c Suppose -3*n + 2 + 7 = 0. Suppose 0*s - n*s + 9 = 0. Let k = -33 + 32. What is the closest to 0 in k, s, 1/4? 1/4 Let r = 2.1 - 2. Let j = -0.00307 + -2.99693. What is the closest to r in j, 1/2, -1? 1/2 Let r = -11440/3 + 3814. Let y = -0.4 + 0.6. Which is the closest to r? (a) 2/7 (b) -5 (c) y a Let q be 0/(-1*1) - (-235)/2115. Which is the closest to 10? (a) -2 (b) -12 (c) q c Let v = -0.8 + 0.7. Let q(h) = -h + 7. Let g be q(2). Which is the nearest to g? (a) -1 (b) v (c) 5 c Let q(u) = u**2 - 13*u - 90. Let v be q(-5). What is the closest to 3 in v, -5, -31/4, 5? 5 Let k be 2/((3 - -2)*96/180). What is the closest to k in 2/13, 2/11, -16? 2/11 Let d be (-39)/(2 + (-8)/6). Let l = 57 + d. Which is the nearest to 1/2? (a) l (b) -1/5 (c) 2/9 c Let q = 37/168 + -3/56. Which is the closest to -2? (a) 2 (b) q (c) 0.4 b Let c = 2.8 + -5.7. Let x = 3.3 + c. What is the nearest to -1 in x, 4, 3/5? x Let g = -648 - -647.9. Let y = 2 + -1.8. Which is the closest to g? (a) 1/9 (b) -4/5 (c) y a Let v(f) = -f + 1. Let g be v(0). Let u = 22/3 - 107/15. What is the nearest to 1 in g, u, 2/13? g Suppose -j - 3 = 0, -d - 2*j = j + 834. Let z be (-725)/d - (-2)/(-6). What is the closest to 0.1 in z, -2, 2/3? z Let g = -513 - -517. Which is the closest to -1? (a) 0.1 (b) g (c) -1/14 (d) -0.05 c Suppose c - 5*s - 24 = 0, -6*c + s - 75 = -10*c. What is the closest to -1/5 in c, -2, -1? -1 Let i = 0.14 - 4.14. Let q = -57 - -99. Let x be 2/(q/(-61)) - -3. Which is the closest to 0.1? (a) -3/8 (b) i (c) x c Let y = 110733/10300 - 2/2575. Let s = y - 11. Which is the nearest to s? (a) 1/6 (b) 4 (c) 1/9 c Let u = -195 + 193. What is the closest to -0.1 in 13, 3, u? u Let a = -0.316 + -3.684. Let x = 1.5 + -1.1. What is the nearest to 2 in x, a, 0.05? x Let v = -22/23 - -288/253. Let y = 0.1 - 0.3. Let a be (-1)/3*(-30)/(-35). What is the closest to y in 4, a, v? a Let z = -656/3 + 219. What is the nearest to z in -0.5, -4, -18? -0.5 Let d = 61/65 - 7/13. Suppose 14*c = 17*c - 12. Suppose 13 = -2*o - 3*l, -3*o + c*l = 1 - 7. What is the closest to 2 in o, 1, d? 1 Let g = 5 + -5.4. Let q = -323/1308 + -1/327. Which is the nearest to q? (a) g (b) 13 (c) 0.5 a Let w = 2.65 - 2.25. What is the closest to -7 in -1, -2/9, w? -1 Let n = 0.0715 + 1.9285. What is the nearest to n in 0, 5, -2, -4? 0 Let c be 4/(-14) + (-46)/(-14). Let u = 4074 - 4081. Let p = -0.3 + -0.2. What is the closest to -0.1 in c, u, p? p Suppose -5*z - 4 = 6. Let x = -77 - -76.8. Which is the closest to 0.1? (a) z (b) x (c) -1/3 b Let i = 2.7 - 31.8. Let d = i + 29. Which is the closest to 0.1? (a) 0.5 (b) 5 (c) d c Let i be (-2)/(-134)*(13 - 12). Let m = i + 197/268. Which is the nearest to 0? (a) m (b) -1/6 (c) 9 b Let d be (-2*79)/(8/4) - -1. Let s be (d/(-325))/(6/(-20)). Let y = 0.1 - 0.2. Which is the nearest to y? (a) -2 (b) s (c) -1 b Let x = -6 + 19/3. Let g = 9 - 7. Which is the nearest to 1/3? (a) g (b) -2/5 (c) x c Let q = -29.99 + 30. What is the closest to -1 in q, 0, 2/9? 0 Let r = -17 + 17.1. Let v be ((48/(-28))/(-4))/(54/(-36)). Which is the nearest to v? (a) 11 (b) 5 (c) r c Let b = 0.17 + -2.17. Let h = 291283/5148 - 15/572. Let i = h - 169/3. What is the nearest to b in -0.3, i, -3? -3 Let x = -82.977 + 83. Let m = x - 0.013. Which is the nearest to -0.1? (a) 2 (b) -2/13 (c) m b Let k be (-35)/360 + 4/18. Let i = -282 - -1409/5. Which is the nearest to 0? (a) i (b) k (c) 2 b Let z = 1075 - 9676/9. Which is the closest to -0.4? (a) 0.5 (b) 2/21 (c) z c Let h be ((-20)/12)/((-2)/6). Suppose 4 = 4*u + j, -1 = 2*u + h*j - 3. Suppose 3*k + 31 = -k - 3*n, 5*k + 3*n + 35 = 0. What is the closest to u in -3, k, 0? 0 Let m = 2.8 - -0.2. Let z = 1 + m. Let v = -139 + 137. What is the nearest to 2/9 in v, -1/10, z? -1/10 Let i = -0.31 + 0.31. What is the closest to 7 in i, 4, -1? 4 Let k be (7 - 0)*(-5 + (-1498)/(-294)). Let d be (-26)/(-60) + 2/(-6). Which is the nearest to -1/2? (a) k (b) d (c) 0 c Let v = -18/35 - -4/35. Let p = 23 - 183/8. Suppose -d + 4*n + 5 = 5*n, 0 = -3*d - 5*n + 17. What is the closest to v in -3, p, d? p Let j(i) = i**2 - 4*i - 20. Let w be j(7). Which is the nearest to 2/15? (a) w (b) 2/5 (c) 5 (d) -5 b Let t = -19.45 + 19.41. What is the closest to 1/2 in 0.16, t, -1/2? 0.16 Let f = -3.3 + -0.7. Let g = 6.1 - 6. Let a = 1013 - 1018. What is the closest to g in 0, a, f? 0 Let k = 0.2 - 0.3. Let m(c) = -c**2 - 16*c - 30. Let w be m(-13). Let o be (7/(-21))/(((-75)/w)/5). What is the closest to o in -0.4, k, 0.3? 0.3 Let d = 6.6 + -0.6. Let k be 5 + -9 + 3 + (-2)/(-5). What is the closest to d in 4, k, -0.3? 4 Let k = 14.7 - 1.5. Let j = -2.8 - k. Let r = j + 17. What is the closest to -2 in -3/5, r, 0.2? -3/5 Let f = -8 + 7. Let d be (-4 - (-3 - (-4 + 5)))/(-1). Which is the closest to f? (a) d (b) 0.3 (c) 1/5 a Let d(i) = 6*i**3 - i**2 - i - 1. Let k be d(-1). Let m = k + 8. Let n be (m - 0) + (-2)/12. Which is the nearest to -1? (a) 0.1 (b) n (c) 4/7 a Let u = -0.0664 + 4.0664. What is the nearest to u in -2/11, 5, 0.15? 5 Let x = -7 + 9. Let d be 72/(-105) - x/(-7). Which is the nearest to -0.1? (a) d (b) -4 (c) -2 a Let g = -1252.2 + 1252. What is the closest to 0.2 in g, 5, 53? g Let a = -0.501 + 0.101. Let f = -3 - -1. What is the nearest to 5 in f, a, -2/7? -2/7 Let u = -3 - -2.8. Let h = -0.11 + -3.89. Which is the nearest to -1/4? (a) u (b) -1 (c) h a Let b = 52 - 51. What is the closest to 1/2 in 0.4, b, 7? 0.4 Let n be 1/(-2)*1*0/(-8). Let r be (9 + -15)*(n - -1) - -1. What is the closest to -1 in -0.5, r, 5? -0.5 Suppose 2*h = -3*n - 14, 0 = h + 2*n - 0*n + 8. Let x be -4 - (h - (-2)/(-5)). Let l = 589/5 + -117. Which is the nearest to x? (a) 1 (b) 1/6 (c) l b Let l = -0.2 + 0.3. Let m = 8.3 + 0.7. Let q = 12 - m. Which is the closest to -1? (a) q (b) 0.4 (c) l c Let o = 0.19 - -3.81. Which is the closest to 0? (a) 0.094 (b) 1 (c) o a Let f = -1.89 + -81.11. Let y = f - -84. Let p = -0.3 + -0.7. Which is the nearest to -0.1? (a) -5/4 (b) p (c) y b Let p = -11/8 - -39/40. Let h = -0.01 - -0.41. Let u = -15 - -12. Which is the nearest to -1/5? (a) h (b) p (c) u b Let j = 356 - 351. What is the nearest to 2/3 in 3, -7/18, -2/21, j? -2/21 Let a = 85.8 - 85.9. What is the closest to -0.31 in 0.5, a, 2? a Suppose 3*s = 31 + 35. What is the nearest to -1/3 in 5, s, 2, 0.4? 0.4 Let y = -28 + 31. Let u = y + -2. Which is the closest to -1? (a) 0.5 (b) u (c) -4/3 c Let v = 1166 + -2337/2. What is the nearest to 0.2 in -0.3, -2/13, v? -2/13 Let j be -1*7/(21/15). What is the closest to 0.1 in 4, -2/5, -0.5, j? -2/5 Let i = -19 - -14. Let q = 6.6 - 7. What is the nearest to 0.02 in i, 2, q? q Let k be (4/14)/(108/(-84)). Which is the closest to k? (a) 3 (b) -3 (c) 0.8 c Let v = -0.6805 + 0.1805. What is the nearest to 0 in -3, -0.2, v? -0.2 Let m = -179/91 + 20/13. What is the closest to 1 in -2/19, m, -2? -2/19 Let f be 10/(((-1)/6)/((-95)/(-15))). Let w = 6458/17 + f. What is the closest to -6 in w, 0, 2/13? w Let l = -4.8 - -4.772. Let m = -1.028 - l. What is the cl
{ "pile_set_name": "DM Mathematics" }
+ 6*a + 12*d*r - 30*r What is the derivative of -17*d**3*p**2 - 11*d**3*p + 18*d**3 + 7*d wrt p? -34*d**3*p - 11*d**3 What is the second derivative of -6931*i**4 - i - 1068? -83172*i**2 Find the second derivative of -5*i*n*r*s**2 + i*r**2*s**2 - 8*i*s**2 - 73*n*r**3*s - 2*n*r**2*s + r*s**2 - 2*r wrt r. 2*i*s**2 - 438*n*r*s - 4*n*s Find the first derivative of -6839*k**3 - 6236. -20517*k**2 What is the derivative of 46*x**2 - 9*x + 242? 92*x - 9 Differentiate -24*u**3 - u**2 - 1945 wrt u. -72*u**2 - 2*u What is the third derivative of 2607*l**3 + l**2 - 1338 wrt l? 15642 Differentiate -431*m**3 - 251 with respect to m. -1293*m**2 What is the third derivative of 3*k**4 + 202*k**3 + 998*k**2? 72*k + 1212 Find the first derivative of 46*a**3 - 14*a**2 + 741 wrt a. 138*a**2 - 28*a Find the second derivative of 31*f**3*j**3 + 2*f**3 + 3*f**2*j**3 + 2*f*j**3 + 180*f*j**2 wrt f. 186*f*j**3 + 12*f + 6*j**3 Find the second derivative of -a**2*s + 955*a**2*x**2 + 2*a*s*x**2 + a*x - 9*s - 15 wrt x. 1910*a**2 + 4*a*s What is the third derivative of 30*i*o**4 + 5*i + o**4 - 24*o**2 wrt o? 720*i*o + 24*o What is the first derivative of 4*i**2*y - 196*i**2 + 2*y + 3741 wrt i? 8*i*y - 392*i Find the second derivative of -2*u**4 + 10*u**3 - 304*u**2 + 19636*u. -24*u**2 + 60*u - 608 Differentiate 107*q + 220 wrt q. 107 What is the derivative of 100*h**3 + h - 13 wrt h? 300*h**2 + 1 Find the second derivative of -316*h**3 + 2*h - 504 wrt h. -1896*h What is the third derivative of -79*j**3 - 39*j**2 + 9*j? -474 Differentiate -22*a*i**2 + a*i + 198*a wrt i. -44*a*i + a Differentiate -37*m*q*u + m*q - 9*m*u + q*u - 615 wrt q. -37*m*u + m + u What is the second derivative of 7*t**3 + t**2*v - 20*t*v + 8*v wrt t? 42*t + 2*v Find the third derivative of 2*i**5 + 93*i**3 + 5*i**2 + 95*i wrt i. 120*i**2 + 558 What is the third derivative of 559*i**6 - 2946*i**2? 67080*i**3 What is the third derivative of -20778*f**5 + 19*f**2 - 63*f + 4 wrt f? -1246680*f**2 What is the third derivative of -4510*r**4 - 4641*r**2? -108240*r What is the derivative of -123*q**2*s + 13*q**2 - 5 wrt s? -123*q**2 Find the second derivative of -842*b*t**5 - 3*b*t**3 - b*t + 3*b - 62*t + 5 wrt t. -16840*b*t**3 - 18*b*t Differentiate -3*f**2*x**2 + 6*f*x**2 - f - 392*x**2 with respect to f. -6*f*x**2 + 6*x**2 - 1 Find the second derivative of -1907*c**4 - 2625*c. -22884*c**2 What is the third derivative of 3*f**5 - 2*f**4*y + 71*f**3*y - 39*f**2*y + f**2 + 4*f*y wrt f? 180*f**2 - 48*f*y + 426*y What is the second derivative of 311*j**2*s**3 + 446*j**2*s - 9*j*s**4 + 4*j wrt s? 1866*j**2*s - 108*j*s**2 Find the third derivative of 1786*g**3*m + 93*g**2*m + 3*g*m wrt g. 10716*m What is the second derivative of -16369*n**2*o*v**3 + 2*n*o*v**2 + 7*n*o*v + 47*o*v**3 wrt n? -32738*o*v**3 Find the second derivative of 3585*n*y**3 - 41*n*y - 2*n + y - 5 wrt y. 21510*n*y What is the second derivative of -4*q*t**4 + 300*q*t**2 + 2*q*t - 17*q - 2*t**5 - 51*t wrt t? -48*q*t**2 + 600*q - 40*t**3 What is the third derivative of -10*i**5 - 4*i**4 + 3*i**3*r**2 - 3*i**2*r + 280*i*r**2 wrt i? -600*i**2 - 96*i + 18*r**2 Differentiate -g*j - 73*g + 5*j - 10 with respect to g. -j - 73 Differentiate 1494*h - 3519 wrt h. 1494 Differentiate -118*u**4 - 3*u**2 + 1853. -472*u**3 - 6*u What is the third derivative of -2886*a**5*b**3 + 2*a**4*b**3 - 31*a**2*b**3 - 49*a**2*b**2 - b wrt a? -173160*a**2*b**3 + 48*a*b**3 What is the second derivative of 2144*x**4 - 1196*x wrt x? 25728*x**2 What is the second derivative of 106*q**5 - 3*q**2 - 4*q + 30 wrt q? 2120*q**3 - 6 Find the second derivative of 1948*b**5 - b**2 - 7*b - 338 wrt b. 38960*b**3 - 2 What is the third derivative of -9*h**2*p**5 - 161*h**2*p**2 + 3*h*p**4 wrt p? -540*h**2*p**2 + 72*h*p Find the first derivative of -43*f**2*y**2 + 2*f**2 - 2*f*y**3 - 59 wrt y. -86*f**2*y - 6*f*y**2 Find the third derivative of -122*f**3*v*z + 3*f**2*v - 2*f*v - v*z - 1 wrt f. -732*v*z Differentiate -247*x**3 - 684 with respect to x. -741*x**2 Find the third derivative of -1150*k**3 - k**2 - 134. -6900 Differentiate -21*i*p*u**2 + 4*i*p*y**2 + i*p + p*u**2*y**2 - p - 24*u**2*y wrt i. -21*p*u**2 + 4*p*y**2 + p Find the second derivative of 6754*l**2 - 2*l - 1682. 13508 Find the third derivative of -f**6 - 12*f**4*k + 4*f**3*g*j*k + 2*f**2*g*k + f*g*j*k - 9*f*g*j + 3*g*j*k wrt f. -120*f**3 - 288*f*k + 24*g*j*k Differentiate 12*f**3*j**2 - 2*f**3*j*r + 2*f**3*j + 18*f**3 - 110*f**2*j**2*r**3 wrt r. -2*f**3*j - 330*f**2*j**2*r**2 Find the second derivative of k**2*p**4 + 854*k**2*p*q - 1588*p**4*q + 2*q wrt p. 12*k**2*p**2 - 19056*p**2*q Find the second derivative of -2*p**3*z**2 - 6153*p**3*z - 7*p*z**2 - 2*p*z - 325*z**2 wrt p. -12*p*z**2 - 36918*p*z Find the second derivative of 11*h**3*v**3 - h**3 - 3*h*v + 54*v**3 - 142*v wrt v. 66*h**3*v + 324*v What is the derivative of 256*a**3*w**3 - 247*a**3 - w**3 wrt w? 768*a**3*w**2 - 3*w**2 Differentiate -2*l*u*y**2 - 2*l*y + 19*l - 2395*u + 3*y**2 - 3*y wrt u. -2*l*y**2 - 2395 Find the first derivative of -175*h**3 + 108. -525*h**2 Find the third derivative of -3403*v**6 - 2*v**2 + 1128*v wrt v. -408360*v**3 Find the third derivative of -53*h**6 + 2*h**5 - 83*h**2 wrt h. -6360*h**3 + 120*h**2 Find the second derivative of 124*p**2 - p - 46 wrt p. 248 What is the derivative of 54*b*c**2*o + 2*b*c**2 + 2*b*c*o - 275*c**2*o + c**2 - 4*c*o wrt b? 54*c**2*o + 2*c**2 + 2*c*o Find the first derivative of -r**2*t**2 - 3*r**2*t - 2*r**2 + 881*t**2 wrt r. -2*r*t**2 - 6*r*t - 4*r What is the second derivative of -7529*g**2 + 9094*g? -15058 Find the second derivative of -n*s**5 + 557*n*s + 1861*s**2 - 9*s wrt s. -20*n*s**3 + 3722 Find the third derivative of -3*a**4*r - 44*a**4 + 2*a**3*r + a**2*r + 811*r wrt a. -72*a*r - 1056*a + 12*r What is the second derivative of 9*i**3 + 2*i**2 + 80*i? 54*i + 4 What is the derivative of 1865*t**2*z + 1410*t**2 wrt z? 1865*t**2 Differentiate 43*c**4 + 16*c**2 - 4*c + 24159 wrt c. 172*c**3 + 32*c - 4 What is the second derivative of 174*f**2*p**2 + f*p - 48*p**2 wrt f? 348*p**2 Differentiate -3*a*o**3 - a*o**2 - 8*a*o - 2*o**3 - 74*o**2 + 2 wrt a. -3*o**3 - o**2 - 8*o What is the first derivative of 2*a*y - 2*a + 156*y - 8 wrt y? 2*a + 156 Find the first derivative of -2*d**4 + 34*d**3 + 72*d**2 + 1266 wrt d. -8*d**3 + 102*d**2 + 144*d What is the second derivative of -898*b**2*w**2*z - 10*b*w**2 - 2*b*w*z + 11*w**2*z - w*z wrt b? -1796*w**2*z What is the second derivative of 1541*m**3 - 1626*m? 9246*m Find the third derivative of 7*b**5*i**2 + 6*b**4*i*k**3 - 2*b**2*i**2*k**3 + 3*b**2*i*k**3 - b*i - i**2*k wrt b. 420*b**2*i**2 + 144*b*i*k**3 Find the third derivative of 33*a**3*p**3 + 32*a**3*p + a**2*p**3 - 2*p**2 wrt p. 198*a**3 + 6*a**2 What is the derivative of 39*z**3 - 46 wrt z? 117*z**2 What is the second derivative of -141*q**2 - 275*q? -282 Differentiate -1671*x**2 - 1774 wrt x. -3342*x Differentiate -3*y**3 - 117*y - 182 wrt y. -9*y**2 - 117 Find the third derivative of 3610*h**4 + 1128*h**2 + 2. 86640*h What is the second derivative of b**4 - 6101*b**2 - 18101*b wrt b? 12*b**2 - 12202 What is the third derivative of 2067*z**4 + 862*z**2 wrt z? 49608*z Differentiate 17*b**2*p**2 - b**2*p + 7*b*p**3 - b*p - 69*p**3 + 19*p**2 + p with respect to b. 34*b*p**2 - 2*b*p + 7*p**3 - p What is the first derivative of -2*k**3*p*x + 6*k**2*p + 4*k**2 - 81*p*x - 2*p wrt k? -6*k**2*p*x + 12*k*p + 8*k What is the first derivative of -281*h**2 - 187? -562*h What is the third derivative of -665*z**3 - 616*z**2? -3990 Find the third derivative of 735*h*w**3 - 2348*h*w**2 wrt w. 4410*h Find the first derivative of -6*d**3*l**2 - 1249*d**2*l**2 + 17*l**2 - l + 2 wrt d. -18*d**2*l**2 - 2498*d*l**2 Find the third derivative of -d**5 + 29*d**4 - d**2 - 3. -60*d**2 + 696*d Find the second derivative of -4*h**4 + 31*h**3 + 13*h**2 - 2*h + 1676. -48*h**2 + 186*h + 26 What is the second derivative of -5*a**4*j - 25*a**2*j - 5*a - 66*j wrt a? -60*a**2*j - 50*j Find the second derivative of -1062*y**3 + 276*y wrt y. -6372*y Differentiate 5*g*v**3*z**2 - 5*g*v**3 + g*v*z**2 + 34*v**3 - z**2 wrt g. 5*v**3*z**2 - 5*v**3 + v*z**2 What is the second derivative of -9*h**4*j - 24*h**2*j - h**2*n + h*j*n + h*n - 4*j - 4 wrt h? -1
{ "pile_set_name": "DM Mathematics" }
-418 * -87. 36366 -0.5 * -17.2 8.6 1847*1 1847 What is the product of 0.3 and -1422? -426.6 What is -279 times 2? -558 -59 * -0.3 17.7 Work out 0 * 34. 0 Work out 0.08 * -41. -3.28 Product of 0.39 and -0.04. -0.0156 3.7 * -28 -103.6 59*-1.87 -110.33 Work out -3 * 0.49. -1.47 -42.3 times 11 -465.3 -0.02 times -12.7 0.254 3*-0.63 -1.89 Product of 0.001 and 0.03. 0.00003 -1677 * 0.4 -670.8 What is -111.8 times 0.03? -3.354 Product of 1028 and -0.7. -719.6 Work out 9 * 2.4. 21.6 Multiply -0.5 and -9. 4.5 What is the product of 31.9 and -8? -255.2 4 * -38 -152 0.07027 times 3 0.21081 Work out -246 * 0.2. -49.2 What is -4 times 311.6? -1246.4 What is the product of 0.7 and -27? -18.9 -31507 * 0.4 -12602.8 Product of -0.07 and -25. 1.75 Multiply 70 and -3. -210 7.7 times 0.8 6.16 Work out -6 * -2658. 15948 -0.07 times 4.6 -0.322 Calculate 1*3.735. 3.735 Multiply 2 and 1.1. 2.2 Calculate 0.3*67. 20.1 -41 * -0.3 12.3 0.07 times 3 0.21 -2 * 11.5 -23 Product of -1 and 33.1. -33.1 Work out -0.4 * 0.04692. -0.018768 Calculate 0.76*1.02. 0.7752 Calculate -8*0.37. -2.96 3070 times -0.1 -307 What is -0.427 times -2? 0.854 -645 times 0 0 Work out 0.349 * -2. -0.698 -0.14 times 1.95 -0.273 Work out 4 * 63.89. 255.56 What is -0.07 times 0.06? -0.0042 Calculate -0.3*5.2. -1.56 -0.25 * 0.1 -0.025 Product of -0.0505 and 0.1. -0.00505 -19 * -0.5 9.5 Calculate 0.155*0. 0 Calculate 16*2.5. 40 Multiply -0.117 and -9. 1.053 What is the product of -0.06 and 1.546? -0.09276 -1*-0.036 0.036 Work out -83 * 4. -332 0.4*-1.23 -0.492 Multiply -270 and -0.4. 108 What is -0.2 times -1263? 252.6 -0.5*1223 -611.5 Multiply -6 and 2.1. -12.6 Calculate -0.1047*-4. 0.4188 0.18 * -96 -17.28 Product of -0.2 and -0.084. 0.0168 Calculate 30*26. 780 What is 81 times 102? 8262 Work out -0.0429 * -14. 0.6006 What is -43 times -6? 258 Multiply 0.508 and -2. -1.016 -0.01 * -21.4 0.214 Calculate -0.015*7. -0.105 Work out 11.8 * -4. -47.2 Work out -5 * 132. -660 Calculate -14*97. -1358 Work out -5 * -0.1. 0.5 Calculate 0.03096*-0.3. -0.009288 Multiply 112 and 0.137. 15.344 Work out -597.4 * 0.3. -179.22 Product of 0.06 and 50. 3 What is -1 times -1.91? 1.91 Product of -8 and -2. 16 What is 5 times 4766? 23830 Multiply 3 and -58. -174 -33.8*4 -135.2 -0.4*-0.59 0.236 What is 0 times 0.22? 0 -0.02 * 582 -11.64 -25 times -1.08 27 0.4 times -0.854 -0.3416 -0.064 times 1.2 -0.0768 Work out 2 * 0.053. 0.106 What is 20 times 0.01? 0.2 Product of 2344 and 0.5. 1172 What is the product of -0.3 and 113? -33.9 0.4*0.2286 0.09144 Calculate 2920*1. 2920 What is 3 times -665? -1995 -3 * 30 -90 Product of -0.9 and 39. -35.1 What is the product of 122 and 248? 30256 -110.3 * -18 1985.4 0.02*-873 -17.46 -4*-0.4122 1.6488 Calculate 0.03486*-3. -0.10458 Work out -3 * 12. -36 22 times -11.22 -246.84 Work out 0.1 * 0.082. 0.0082 Multiply 0.0021 and 1. 0.0021 -0.1 times -0.0627 0.00627 Work out 0.02 * 138. 2.76 Product of -0.33 and 0.03. -0.0099 Calculate -62*3.7. -229.4 What is 0.162 times 16? 2.592 5928 * 0.5 2964 22 * -0.22 -4.84 Calculate 10*-0.0483. -0.483 Product of -0.0077 and -15. 0.1155 Product of 8 and -0.1. -0.8 Product of 0.1 and -0.6. -0.06 What is 0 times 0.2? 0 0.4 times 1515 606 Multiply 19.1 and 1. 19.1 -23.3*0.05 -1.165 0.5*0.1483 0.07415 1 * -0.4 -0.4 Multiply 36 and 0.09. 3.24 What is -3 times -3320? 9960 -106.67 times -0.3 32.001 1.086*-0.3 -0.3258 -37 * -5 185 0.24 times 12 2.88 What is -0.35 times 0.7? -0.245 11 * 0.161 1.771 Calculate -2*19.11. -38.22 What is the product of -25 and 248? -6200 -5 times 73 -365 Product of -8 and -14.23. 113.84 69 * 0.01 0.69 -295.6 * 2 -591.2 -0.5 * -0.22 0.11 What is the product of -1451 and 0.2? -290.2 Calculate 504*-0.07. -35.28 -9.3 * 26 -241.8 Multiply -0.7 and -184. 128.8 What is 0.32513 times -1? -0.32513 Product of -153.2 and 0.4. -61.28 Calculate 0.05*1.3. 0.065 0.5 * -1203 -601.5 440 * 1 440 0.3 times 2.05 0.615 Work out 0.5 * 36. 18 -64*-0.5 32 0.012 * 3 0.036 What is 10.6 times -21? -222.6 What is 0.1 times -0.48? -0.048 What is the product of -30 and -0.6? 18 What is the product of 0.5 and -303? -151.5 What is -0.5 times 23? -11.5 Calculate 0.093*-0.37. -0.03441 Calculate 26*3. 78 Product of 3 and -1.7. -5.1 0.5*2.9 1.45 Calculate -0.38*2. -0.76 What is -0.13 times 0.23? -0.0299 0.208 times 51 10.608 -0.1 times -0.0742 0.00742 0.192 * -0.4 -0.0768 Calculate -36*110. -3960 -2795*0.3 -838.5 -0.212 * -44 9.328 Work out -4 * 0.78. -3.12 Work out -173 * 3. -519 What is the product of -0.2 and -0.39? 0.078 Calculate -2.1*-51. 107.1 What is 13 times 167? 2171 -22*-878 19316 4*-11.25 -45 2.7 times -237 -639.9 Multiply 0.2 and -69. -13.8 38*-0.02 -0.76 Multiply -1637 and -1. 1637 What is the product of 5 and 1.44? 7.2 What is the product of -5 and -219? 1095 Multiply -5 and -0.1084. 0.542 What is the product of -12.97 and -0.5? 6.485 Work out 22 * 0.44. 9.68 -0.5*9 -4.5 Work out -0.3 * 26.3. -7.89 Product of -0.4 and 10.21. -4.084 Multiply 10 and -0.32. -3.2 Calculate -1.004*-3. 3.012 0.84 * 0.013 0.01092 What is -0.95 times -0.1? 0.095 What is the product of -6 and -4.4? 26.4 -6.8 * -14 95.2 48 * 0.28 13.44 Multiply -8 and 0.28. -2.24 Multiply -5 and -0.034. 0.17 2*1794 3588 Product of -0.2 and -62. 12.4 19*3.7 70.3 4 times 2 8 1789 * 0 0 0.3 times 0.31 0.093 3 times 31 93 Calculate -11*246. -2706 What is the product of -0.2 and 0.38? -0.076 What is -0.031 times -0.05? 0.00155 Calculate 0.43*-0.2. -0.086 -5*32 -160 Calculate 550*-0.4. -220 What is the product of -21.93 and 2? -43.86 1.402 * -3 -4.206 0.5 times -0.134 -0.067 -29 * 29 -841 What is the product of -3 and -1443? 4329 5 * -66 -330 What is the product of 55.6 and 33? 1834.8 What is the product of 8 and 3? 24 Calculate 0.4*10.2. 4.08 What is the product of -65 and -5? 325 What is the product of -0.27 and 0? 0 What is the product of 6 and -5.2? -31.2 What is -2.34 times 2? -4.68 61*33 2013 1 * -119.9 -119.9 1 * -0.27 -0.27 Calculate 96.7*13. 1257.1 0.42635*1 0.42635 Product of -0.2 and 1352. -270.4 What is the product of 1.09 and -3? -3.27 What is the product of 449 and -4? -1796 What is the product of 1409 and -0.5? -704.5 Work out -23.605 * 0. 0 What is the product of 0.5 and 368? 184 Calculate -0.6*-0.18. 0.108 Multiply -0.0455 and -0.03. 0.001365 Multiply 0.209 and 5. 1.045 What is 4 times 32? 128 Product of -5 and 44. -220 -16 * 301.8 -4828.8 Work out 0.1 * 499. 49.9 -5*0.18 -0.9 0.9*-13 -11.7 What is the product of -0.046 and 0.036? -0.001656 Calculate -1.053*4. -4.212 Multiply -0.2 and -0.0437. 0.00874 Product of 102 and 76. 7752 -4 times 0.84 -3.36 What is -19.24 times 0.5? -9.62 Multiply -99 and -17. 1683 26*-0.023 -0.598 Work out -0.1 * 0.0502. -0.00502 Calculate -29*-0.007. 0.203 2.56 * 4 10.24 What is the product of -2.6 and 3.8? -9.88 What is 2.5 times -0.2? -0.5 Product of -0.2 and 0.93. -0.186 Work out -0.43 * -2. 0.86 -1.4*-10 14 -0.23 * -25 5.75 -109 * -0.069 7.521 Multiply -0.0495 and 4. -0.198 5*0.12 0.6 -186*-0.3 55.8 Work out -431 * -10. 4310 -0.12*-25.3 3.036 78 * 4 312 Calculate 0.024*-0.06. -0.00144 Work out 135 * -2. -270 Multiply -16 and 109. -1744 Multiply -24 and 1.45. -34.8 -1624 * 4 -6496 Work out 0.3 * 662. 198.6 What is 0.5 times -197? -98.5 Calculate 17*142. 2414 -13*-43 559 Calculate -0.07*-27. 1.89 What is the product of -13 and 16.9? -219.7 18.6 * 0.1 1.86 1273 times -0.2 -254.6 Multiply -164 and -5. 820 -3*1.7 -5.1 0.019*-0.7 -0.0133 Multiply 0.0823 and -0.07. -0.005761 What is -11260 times -0.1? 1126 What is the product of -13 and -39.5? 513.5 What is -1.2 times -0.9? 1.08 -6.04 * 5 -30.2 Work out -0.032 * -3. 0.096 Multiply -27 and 0.0468. -1.2636 Work out 0.02 * -405. -8.1 What is the product of 64 and 6? 384 7.11*5 35.55 What is -8 times -0.87? 6.96 Product of 3 and 50. 150 120 times 0.45 54 Work out 0.3 * 0.51. 0.153 Product of -0.2 and 16. -3.2 -0.024 * -0.1 0.0024 5 * 0.0509 0.2545 What is the product of -252 and -0.02? 5.04 Product of -615 and -0.2. 123 0.3 times -0.163 -0.0489 Multiply -2 and 2738. -5476 12 * 34 408 Multiply 1662 and 0.5. 831 Work out 0 * 0.1. 0 -4 * 0.983 -3.932 What is -0.36 times -0.01? 0.0036 What is the product of -7569 and -0.2? 1513.8 What is the product of 32 and 8? 256 Work out 84.1 * 1.8. 151.38 What is the product of -0.1
{ "pile_set_name": "DM Mathematics" }
t + 15 = -1, -t = 0. Which is smaller: 28/11 or q? 28/11 Let v be 6*23/207*2/15620*-9. Is -1 equal to v? False Let w be (-970)/(-5)*(-1 - (-3 - -1)). Suppose 2*u - w = -2*m, -5*m - 4*u + 470 = -2*u. Let o = m - 110. Is -19 smaller than o? True Let a = 1.8 - 2. Let g = -74568.18 + 74568. Which is smaller: g or a? a Let p be (-22 - 6) + 19 - 1896/(-142). Is 4 not equal to p? True Let u(s) = 380*s - 6060. Let q be u(17). Is 434 < q? False Let a(r) = -4*r**2 + 1226*r + 16910. Let k be a(-14). Which is smaller: k or 3? k Suppose 0 = 5*i + 4*o - 114069, -464*i - 5*o = -460*i - 91266. Is -1 greater than i? False Suppose 14*k + 4075 + 3709 = 0. Which is bigger: -2773/5 or k? -2773/5 Let m be (8/(-4) - 2) + 9. Suppose -4 = m*w - 14. Is w > 13/10? True Let g(j) = j**3 - 7*j**2 + 15*j - 31. Let o be g(5). Let n = 31 + -63/2. Is o at least as big as n? False Let v = 12/143 - -1084/715. Let k = 13 + -9. Let l = 6 - k. Which is bigger: l or v? l Suppose x = -2*d + 13, 0 = d - 2*x - 6 + 7. Let t be ((-7)/(-21))/(((-10)/12)/d). Let j = 3/17 - 131/68. Which is greater: j or t? j Let y(h) = -4*h + 80. Let z be -25*(-3)/((-30)/(-8)). Let c be y(z). Are -6/241 and c unequal? True Let i = 531 - 288. Let j be 0 + -16*(i/(-84))/(-9). Which is smaller: -5 or j? j Let y(w) = -w**2 - 5*w + 41. Let c be y(-9). Let a be c - (-789)/(-6) - 1/(-2). Let t be 16/(-72) - 118/a. Which is bigger: 0.1 or t? t Suppose 0 = 4*k + 4*i + 68, -3*k + 18*i - 75 = 15*i. Which is bigger: -59/3 or k? -59/3 Let a = 1/36 - 415/36. Let f = -12 - a. Let t = -7 + 6.2. Is f < t? False Let s be 1/((-4)/(-12)) + 625/(-1). Let g = s + 626. Which is bigger: g or 9? 9 Let a(f) = 15*f - 107. Let p be a(9). Let h = 12 - p. Is h at least -18? True Let d be (-84)/(-147) + 41883/(-2)*26/(-273). Is d at most as big as 1? False Let z(c) be the second derivative of 2*c**3/3 + 12*c**2 + 41*c + 1. Let b be z(-6). Are 1/156 and b unequal? True Suppose y + 4*h = 7, -3*y + 0*y = -3*h + 9. Let s be y + (51 - 10/(-5)). Which is smaller: 50 or s? 50 Let s(n) = 2*n**3 + 22*n**2 + 15*n + 4. Let o be s(-10). Suppose -5*a = -3*g + o + 78, 4*g = 5*a + 131. Which is bigger: -30 or a? a Let g = -74.41 + -1.59. Let k be 0/(3 + (155/(-30) - (-3)/18)). Which is smaller: k or g? g Let v be 12/(68/(-17)) + 1286. Do 1291 and v have the same value? False Let c be ((-106)/212)/(1/(294/589) + -2). Is c >= -105? False Let q = -0.6 - -0.5. Let a = -83/132 + 7/33. Let r = a + 7/4. Which is smaller: q or r? q Let q = -1.35 - -1.25. Is q not equal to 43/32? True Let z = 52204091/355432 - 2/44429. Is 146 less than z? True Let l = -233 + 224. Let x be (-216)/44 - l/(36/8). Which is smaller: x or -3? -3 Let y = -0.0151 + 0.2151. Which is greater: y or -0.2346? y Let y = -0.449 - -0.349. Let u be 1 + 0 - (5 + (-131)/32). Which is smaller: y or u? y Let r(y) = 17 + 18 + 12 - 5*y + y**2 - 53. Let p be r(-8). Let o be 49/p - (0 - (-30)/44). Which is greater: o or -1/7? -1/7 Suppose 0 = -d + o - 320, 832 = -5*d - 2*o - 768. Is d greater than -0.2? False Let m(s) = 29*s - 25. Let p be m(1). Let g be 7/21 - ((-52)/(-21))/p. Let v = -78/49 - -36/49. Which is smaller: g or v? v Let o = -195 + 197. Suppose -o = -l + 3*l. Which is smaller: 2/269 or l? l Let g be (-7)/((-42)/(-12))*6/(120/7990). Is g >= -797? False Let j = -327639928/115 - -2849062. Let m = j - 1751246/91195. Let k = 6/61 - m. Which is bigger: k or -3? k Suppose 0*r + 40 = r. Suppose -16*q = 40 + r. Does q = 13? False Let z = 77/296 - 146917/2664. Let w = 55 + z. Suppose 7*g = 5*k + 2*g + 15, 5*k = -3*g + 17. Is k < w? False Let p = -159.32 - -177.32. Is -11.5 >= p? False Let k be (76945126/1025936 - 75)*(8/(-6) + 0). Do k and 0 have the same value? False Let z = 87.22 - 87. Let p = z - 1.74. Let a = -1.5 - p. Which is bigger: 0.06 or a? 0.06 Let o = 55 - 44. Let h = o + -10. Is h equal to -2/527? False Let h be (2/1)/((-20)/80). Let d(p) = 8*p + 31. Let i be d(h). Let g = i + 33. Is g at most -2/7? False Suppose 0 = 3*w + 4*h - 80, -2*w - 35 = -4*w + h. Suppose -5*u = 5*r - w, -6*r = 3*u - 8*r + 13. Is u greater than or equal to 12/175? False Suppose 0 = 14*x + 33*x - 719 + 672. Let h = -14.3 + -7.3. Is h greater than x? False Suppose 4*g + g = g. Suppose -2*k = 4*v - 244, 3*v + g*k = -k + 182. Suppose -24*d + 20*d = -v. Which is greater: d or 55/4? d Let l = -81 + 15. Let o = l - -59. Which is greater: -0.1 or o? -0.1 Let c = -82 + 82. Let d be 1856/4 - (4 - c). Let b be d/(-245) + 1 - -1. Is 1 != b? True Let y = 5292 - 16724/3. Let l = -284 - y. Let o(u) = u**2 + 8*u - 1. Let t be o(-8). Is t bigger than l? True Let a = -0.227 - -50.727. Let h = 110.5 + a. Is h <= -1? False Let m(n) = n**2 - 18*n - 30. Let z(o) = 5*o + 5. Let h be z(3). Let g be m(h). Let j be 2*(-18)/g - (-10)/(-25). Is -2 greater than j? True Let t = -53.1608 + 53.16. Are t and 22 unequal? True Let m = 308 + -160.7. Let u = m + -146. Let w be 2/8 + 1/28. Is u < w? False Suppose -2*w - 9*s + 4*s = 0, 0 = -2*w + 4*s. Suppose w = 4*y - 14*y - 60. Let x be 10/(-2 + 0/2). Is x not equal to y? True Let y = 624 + -668. Let k = -26 - 15.5. Let i = k - y. Is i bigger than 0.1? True Let x = -45.1 - 2.9. Let v = x - -26. Let t = v - -23. Is -3 at most as big as t? True Let r = -92 - -94. Let d be -170 + (-5 + r - -1). Are d and -171 nonequal? True Suppose 23 = q + 18. Suppose q*c + 10 = 20. Suppose c + 10 = -6*n. Is n < -1? True Let d = -7.26 + 7. Let x = 0.296 + d. Let o = x - 0.136. Which is greater: o or 0.25? 0.25 Let i(j) = 3*j**2 - 54*j - 13. Let l be i(18). Let d(n) = -n**3 - 13*n**2 - 14*n - 21. Let y be d(l). Which is bigger: y or 162? 162 Let k be (1 - (-11 + 4)) + 7. Let i = -29 + 19. Let r be 12/30 + (-146)/i. Is r greater than k? False Let l be ((-2623882)/54)/(36/12). Let z = l + 16197. Which is smaller: 0 or z? 0 Let k = -0.7484 + 0.7044. Do 5 and k have different values? True Let w = 2871 + -2855. Which is bigger: 10 or w? w Suppose 3*t + 14 = -10. Let n be 0/(6*4/t). Are -1/385 and n equal? False Let t be 4/7 + (-1818)/5656. Is t != -206? True Suppose -v = 2*l - 59, 3*v + 0*l - 4*l = 137. Let w = v + -43. Suppose 5*i - 3 = w*i. Is i equal to -14? False Let v be ((-1630)/(-15))/(3/9). Which is smaller: 327 or v? v Let o = -21.3 - 1.7. Let f = o + 22.79. Let m = 0.01 + f. Which is bigger: -1 or m? m Let m = -11.1 - -11. Let p = -1.29 - -1.03. Let y = -0.16 - p. Is y less than or equal to m? False Let t = 14 - 29. Suppose -3*u + 321 = -48*g + 53*g, g + 3 = 0. Let q be (-3)/2*u/12. Which is bigger: t or q? q Let n = -3360 + 3070. Which is bigger: n or -294? n Let f be (-872)/6*((-9)/(-8) + 333/888). Which is smaller: -250 or f? -250 Suppose -2*d - 2*q = 2*q - 10, d + 5 = 3*q. Let z be (d/(-28))/(6550/(-400)). Which is smaller: -1 or z? -1 Let a be (2*3/18)/(36/648). Suppose -12 = u - 3*z, -a*u - 2*z + 8 = -9*u. Which is smaller: -1/122 or u? -1/122 Let i be (-45)/(-5) - -6 - (-1 - -1). Suppose -2*n + 19*n - 221 = 0. Which is smaller: n or i? n Suppose z = 5*i - 16, -3*z + 2*i - 16 = 3*i. Let d(r) = 3*r + 9. Let x be d(z). Let s = -6 + x. Do -15 and s have the same value? True Let x = 181631/42 + -12973/3. Are -311 and x equal? False Let b = -104.9 - -66.6. Let p = 37 + b. Let r = -10/29 + 148/261. Is p at most as big as r? True Let n be 0 - 2/7 - (-2289)/6468. Let k = n + -1/44. Let p(j) = -j**3 + 6*j**2 + 7*j + 1. Let b be p(7). Is k bigger than b? False Let d be ((56/21)/4)/(46/(-1863)). Let k be 0 + (-4)/2 - -2. Suppose -2*j - 4 = k, -2*t - 54 = 5*j + 8. Which is smaller: t or d? d Let o be 375/2*461/5532*(-1532)/(-10). Which is smaller: 2395 or o? o Let n = 138 - 692/5. Let f be (-750)/6 + 5 - (-18)/(-6). Are n and f equal? False Let u = -327.037 + 327. Is u less than or equal to -15? False Suppose 0*y + 3 = -3*y. Let x = 352/181 - 47239/26245. Let p = -9/58 - x. Do y and p have the same value? False Let k = -87977/35 - -12906/5. Which is bigger: k or 67? k Let z(c) be the second derivative of -c**3 + 65*c**2/2 - 38*c. Let f be z(9). Let r be (f*-2)/(-1 - -3). Which is greater: r or -12? r Suppose -9154 + 2980 = 14*g. Let t = -442 - g. Suppose 2*s + 0*q + 9 = -q, 0 = 5*q + 25. Which is smaller: s or t? s Let w(h) = -h**2 + 12*h + 17. Let o be w(15). Let n = 10 - o. Is 38 at most n? True Let y = -834 + 8
{ "pile_set_name": "DM Mathematics" }
s = -14 for z. -2 Solve -47*j = -42*j - 4*i - 42, -5*i = 15 for j. 6 Solve -5*h = 15, h - 3*h = -3*x + 3 for x. -1 Solve 0 = 3*m - 15, 4*z = 8*m - 4*m - 36 for z. -4 Solve -5 = 5*a - 5*j, -a + 2*j = 3 - 1 for a. 0 Solve 3*k + 13*m = 12*m - 9, -m - 15 = 5*k for k. -3 Solve 0*q = 3*f - 2*q + 6, -2*f + 1 = -3*q for f. -4 Solve 4*n = -3*w + 9, -5*n + 9 + 7 = -w for n. 3 Solve -3*y - 2*q = 15, 0 = -y + 4*q - 3*q for y. -3 Solve 15 = -3*p + 5*b, 2*p = -4*b + 12 - 0 for p. 0 Solve -17 = 3*i + 4*v - 9, i + 2*v + 6 = 0 for i. 4 Solve 3*y - 9 = 4*r - 18, -3*y - 4*r = -15 for y. 1 Solve 0 = -3*l - 2*p - 8, 18 = -3*l + p + 2*p for l. -4 Solve -d - 2*w = -5*d + 6, -w = -4*d + 9 for d. 3 Solve 0 = -3*s - 2*y - 26, -3*y = -8*s + 3*s - 18 for s. -6 Solve -4*r + 3 = -5*z, 106*z = 102*z - 12 for r. -3 Solve 0 = 4*t - 5*t - 4*n - 13, 3*n + 5 = 4*t for t. -1 Solve 0 = -2*p - 13*w + 14*w + 10, 0 = p - 3*w - 15 for p. 3 Solve -3*u = 3*n - 12, 5*u - 20 = -12*n + 8*n for u. 4 Solve o + 9 = -4*n, 2*o - 8 = 2*n + 3*n for o. -1 Solve h + 1 = 0, 34*s = 33*s + 3*h - 1 for s. -4 Solve -r = -z - 8, -8*r = -4*z - 5*r - 29 for z. -5 Solve -3*f + 3*o + 15 = 0, -f - 13 = 6*o - o for f. 2 Solve 3*v - 629 = 5*k - 618, 0 = 4*k + 3*v - 2 for k. -1 Solve -3*x - 7*w = -4*w - 12, 3*x = 2*w - 13 for x. -1 Solve -3*z + 0*z - 12 = -y, -3*y = 3*z + 24 for y. -3 Solve -5*g + b = -3, 0 = -5*g - 10*b + 6*b + 13 for g. 1 Solve 2*z - 18 = -4*v, -10 = z - 3*z for v. 2 Solve 5*q + g + 9 = -1, 5 = -g for q. -1 Solve 0 = 5*y - 4*a + 11 + 2, 5*y + 31 = -2*a for y. -5 Solve -3*t - 2*p = 0, -4*t = -9*p + 6*p for t. 0 Solve -2*a + m = 3*a + 10, -2*a - 4*m = -18 for a. -1 Solve 2*w = -2*h, 40*w = 4*h + 38*w for h. 0 Solve 4*a - 23 = 3*k, -5*a + 29 = -22*k + 18*k for k. -1 Solve -3*i - 2*b + 1 = -4, 0 = -b + 1 for i. 1 Solve -2*b - c + 21 = 22, 2*b + 2*c = 0 for b. -1 Solve 3*z - 19 = -2*f, 25 + 3 = 4*f + 4*z for f. 2 Solve 14 = c + 2*u + 22, u - 10 = 3*c for c. -4 Solve 0 = -4*u + 4*h, -2*u + 7*u - 4*h = 4 for u. 4 Solve 3*f = -5*d - 34, -1 - 4 = -2*d + 5*f for d. -5 Solve 2*b = 41*l - 42*l - 7, -l + 2*b = -1 for l. -3 Solve r + 23 = -4*t, -r + t - 2*t = 8 for r. -3 Solve 2*c - 16 = -2*v, -41*c + 37*c - v + 23 = 0 for c. 5 Solve 11*w = 4*o + 7*w + 12, -4*w + 11 = -5*o for o. 1 Solve -2*b + 10*w = 9*w + 2, 5*w = -5*b + 25 for b. 1 Solve 0 = 4*c + 5*o + 102 - 111, 0 = 4*c + 4*o - 8 for c. 1 Solve -348*g + 26 = -5*z - 346*g, g = -3*z - 9 for z. -4 Solve -3*b - 5 - 9 = o, -2*b = -4*o + 14 for o. 1 Solve -3 = -5*y - 3*w, y - 7*w = -5*w - 2 for y. 0 Solve 7 = w + 2*w + 5*g, -3*g = 5*w - 1 for w. -1 Solve -4*q - 49*n = -52*n - 12, 5*n = 2*q - 20 for q. 0 Solve 5*m - 30 = 5*r, r - 5*m = -5 - 9 for r. -4 Solve 4*h - 6 = -3*w, 11*w - 4*h = 9*w - 16 for w. -2 Solve 0 = 2*s - 3*h + 4*h + 7, 0 = -4*s + 2*h - 18 for s. -4 Solve -5*a + 30 = m, -11 - 4 = -3*m for a. 5 Solve 0 = 4*v - 4*i + 8, -31*v + 33*v = -4*i + 8 for v. 0 Solve -4*z - 10 = -16*s + 18*s, -5*s - 25 = 5*z for s. -5 Solve v = 2*z - 9, 6*z + 2*v - 2 = 5*z for z. 4 Solve -5*x + 5 - 13 = -y, -x - 2 = 0 for y. -2 Solve 4*m = m - j + 13, -5*j + 20 = 0 for m. 3 Solve -3*o + 2*x + x = 9, 5*o - x + 3 = 0 for o. 0 Solve 2*a = 3*j + 3*a + 13, -15 = 3*j + 3*a for j. -4 Solve 2*w + 3*r - 9 = 0, 3*w + 0*r - 10 = -r for w. 3 Solve -6*c + 3*c + 1 = p, c = 3*p - 13 for c. -1 Solve c + 20 = 5*y, -c - y - 27 = -31 for c. 0 Solve g - 4*z - 6 - 2 = 0, 0 = -5*g - 3*z + 17 for g. 4 Solve v - i + 1 = -6*i, 3*v + 3 = -5*i for v. -1 Solve -4*l - 8 = 3*o - 0, 3*l - 11 = 2*o for l. 1 Solve g - 4*s = -2*g, 3*s = 0 for g. 0 Solve 2*k + 3*t - 5 = 0, -k + 62*t - 15 = 60*t for k. -5 Solve -i - 1 = -k, -5*i + 3 - 2 = k for i. 0 Solve 0 = -v + 5, 5*s + 5*v = -0*v for s. -5 Solve -2*t + 244*r - 10 = 248*r, -t - 17 = 5*r for t. 3 Solve -4*j + 15 = 8*p - 7*p, -4*p = 2*j - 18 for j. 3 Solve 4*r - 2*r = -d - 4, -5*d = 5*r + 15 for r. -1 Solve 0 = -4*n + 2*x + 8, 3*n + x + 8 - 4 = 0 for n. 0 Solve 0 = 8*w - 12*w - 4*a - 28, 3*w + 2*a = -16 for w. -2 Solve 3*m - 3*z = 8 - 14, -15 = 4*m + 3*z for m. -3 Solve -3*x - 22 = -5*b, 10 + 6 = -4*x + 4*b for x. 1 Solve 2 = -2*h - 3*s + 6, 4*h - 3*s = -10 for h. -1 Solve 12*w - 8*w = 16, 2*z + 5*w - 24 = 0 for z. 2 Solve -3*f - 2 = -x - 20, -14 = 3*x - f for x. -3 Solve -8*r + 16 = -4*r - a, -5*r = -a - 20 for r. 4 Solve 4 = -3*v - 4*d + 2, -1 = -d for v. -2 Solve 4*l - 3*q = -23, -4*l - 13*q + 17*q - 28 = 0 for l. -2 Solve -2*j - 127 = 5*a - 138, -5*a + 13 = j for j. -2 Solve 2*p + m = -m - 2, 2*p + 3 = -m for p. -2 Solve 36*m - 35*m + 3 = 2*h, 0 = -5*m + 5 for h. 2 Solve -2*q + 7 = 3*h - 6*h, -5 = -4*q + 3*h for q. -1 Solve -2 = -s + 3*k, -5*k = s - 5*s + 15 for s. 5 Solve 3*k + 2 = 2*o + 2*o, 2*k + o = -5 for k. -2 Solve -3*l + q - 19 = -q, -5*q + 35 = -5*l for l. -5 Solve -549*v - 7 = i - 551*v, -2*v = -6 for i. -1 Solve 4*g - 41 = -5*w, 11 = -5*g + 31 for w. 5 Solve 4*v = -b - 11, 10*b = 6*b - 3*v + 8 for b. 5 Solve 6*s - s = 2*o - 26, -2*s - 4 = -4*o for o. -2 Solve 6*m - 5*j - 10 = 4*m, -j = 0 for m. 5 Solve -5*g = 3*w + 17, 4*w - 3 = 2*g + 9 for w. 1 Solve l + 3*d - 17 = 0, d - 11 = -3*l + 2*d for l. 5 Solve -2*x + 4*p = 16 - 0, 5*x + 4 = -2*p for x. -2 Solve 0 = 3*v + 4*f - 11 - 12, 5*v = 4*f + 17 for v. 5 Solve 5*t + 4 = 4*q, 1 + 11 = -3*q for t. -4 Solve 2*f = -5*b + 35, f + 9 = -2*b + 24 for f. 5 Solve a + 16 = -5*b + 6, -4*a + 5*b = 15 for a. -5 Solve -4*i + 4*b + 16 = 0, -i + 4*b + 15 = -1 for i. 0 Solve -i - 3*b - 2*b = 18, -4*i - 24 = 4*b for i. -3 Solve -s + 2*n = -13, -4*n - 55 = -4*s - 23 for s. 3 Solve 14 = -6*q + 2*i - 20, 0 = 2*q + 5*i - 17 for q. -4 Solve 3*m = 5*p - 11, 2*p - 6 = 2*m - p for m. 3 Solve 3*u = -5*o + 10*o + 19, 0 = -u - 5*o - 7 for u. 3 Solve 0 = -2*o - 2, 0 = -4*d - 2*o - 18 for d. -4 Solve 5*x + 4*a = 2*a - 23, x - 2*a = 5 for x. -3 Solve 2*c - 2*d - 8 = -0*c, 0 = d for c. 4 Solve -2*m = -3*l - 5*m + 6, -5*l + 5*m = 10 for l. 0 Solve 0 = 2*o + 6*q - 26, 74*o - 2*q = 73*o - 12 for o. -2 Solve -5*h - 3*q = 14, -3*h + 0*h - q = 6 for h. -1 Solve 5*u - 5*x = 10, 5*u - 5*x - 5 = -x for u. -3 Solve i - 4*c = -97 + 117, 0 = -3*i + 2*c + 10 for i. 0 Solve 5*c = -3*v - 2*v, 2 = -4*v - 3*c for v. -2 Solve 2*x + 16 = -5*j, -2*x + 2 = -5*j - 2 for j. -2 Solve 6 = 4*v - v + 3*r, -4*v + 24 = -4*r for v. 4 Solve 0 + 12 = -4*g, -4*t = -g - 15 for t. 3 Solve -4*m - 3*l = -29, 2*m - 16 = -33*l + 31*l for m. 5 Solve 20 = -5*j - h, -h = 3*j - 2*h + 12 for j. -4 Solve -2*l - 4*d = 4 - 14, -3*l + 3*d + 15 = 0 for l. 5 Solve 2*o + y - 10 = 0, -7*o = -3*o - 5*y - 6 for o. 4 Solve 24*j - 8 = 20*j - 4*l, 5*j - 2 = -l for j. 0 Solve -5*s = a + 13, -2*a - 1 = -3*s - 7*a for s. -3 Solve -f - 4*u = 4*f + 9, 5*f - u = -4 for f. -1 Solve x - 4*n - 16 = 6*x, 3*x - 5*n - 20 = 0 for x. 0 Solve 7 = -j - 7*m + 4*m, -2*j + 5*m + 19 = 0 for j. 2 Solve d - 2*g = 6*d - 1, -d - 2*g + 5 = 0 for d. -1 Solve 0 = 5*d - 2*z - 9, 0 = -4*d + 9*d - 5*z for d. 3 Solve 11 = 4*l - 3*h, -4*l - 5 - 9 = 2*h for l. -1 Solve -10*s + 5*s - 6 = -4*u, 18 = s + 4*u for s. 2 Solve 11 = -2*z + p, 4*z - 6*p = -7*p - 13 for z. -4 Solve -34 = -5*u - 4*i, 3*u - 5*i = 24 - 11 for u. 6 Solve -2*q + 26 = 5*g, 0 = -g + 4*q - 17 + 9 for g. 4 Solve 5*h + 5 = 0, 5*h = 3*v - 7*v - 1 for v. 1 Solve 0 = -0*q - 2*q - 4*a - 12, 5*a = 2*q - 15 for q. 0 Solve -4*z - l + 17 = 0, z - 5 = -l + 3 for z. 3 Solve f - 4*h + 28 - 23 = 0, -f - 5*h = -4 for f. -1 Solve -10 = 2*r + 5*i - 10*i, -4*i + 25 = -5*r for r. -5 Solve -r = 5*n + 32 - 12, 0 = -4*r + 3*n - 11 for r. -5 Solve 6 = -5*x + 4*t, -9*t + 10*t - 10 = -3*x for x. 2 Solve 3*i - 4 = r, 2*r - 12*i = -9*i - 8 for r. -4 Solve 0 = -b + 2*w + 5, 2*w = 5*b - 3*b - 2 for b. -3 Solve -5*m + 2*x = 7*x + 30, -x = -m - 2 for m. -4 Solve 0 = -2*v + 3*r - 1, -4*r - 81 = -v - 79 for v. -2 Solve 0 = s - 3*w + 15, -w + 27 = s + 22 for s. 0 Solve -3*w + 22 = 4*m, -2*w = 4*m - w - 18 for m. 4 Solve 3*s = 2*q + 5, 0 + 7 = -s + 5*q for s. 3 Solve 7*n - 6*n + 24 = -5*a, -28 = -3*n + 5*a for n. 1 Solve 3*f = -501*l + 498*l + 36, 8 = -f + 3*l for f. 7 Solve 7 = r + 2*j, j + 4 = 5*j for r. 5 Solve 3*l = 2*y, 0 = -2*y - 2*y + 2*l + 8 for y. 3 Solve 0 = -5*c + 5, -58*c + 57*c = 5*y - 11 for y. 2 Solve 5*b + 13 = 2*s, -9*b - 3 = -14*b - 2*s for b. -1 Solve -2*g +
{ "pile_set_name": "DM Mathematics" }
0 Suppose m + 13 = s - 4*s, -3*s - 9 = 0. Let q be ((-1233)/(-15) + -3)*m*3125. What is q rounded to the nearest one hundred thousand? -1000000 Let o = 13.428 - -8.43. Round o to 0 decimal places. 22 Let b = 213.237 - 212.286927. Let f = -0.95 + b. What is f rounded to five dps? 0.00007 Let c(f) be the second derivative of -8*f + 0 + 0*f**3 + 1/2*f**2 + 1/6*f**4. Let p be c(-6). Round p to the nearest ten. 70 Suppose 0 = -0*i + 10*i - 52640. Let b be 1/(-3) + 1 + i/24. Round b to the nearest 100. 200 Let p = 0.376 - 0.046. Let i = 0.32887 - p. Round i to 4 decimal places. -0.0011 Suppose 2*w + 2349500 = -8*w. Let f = w - -414950. What is f rounded to the nearest one hundred thousand? 200000 Let y = 7.6 + -3.2. Let l = y - 4.39999974. Round l to 7 dps. 0.0000003 Let m = -740655 + 740655.01700036. Let l = m + -0.017. What is l rounded to seven dps? 0.0000004 Suppose 0 = -8*p + 58 - 26. Suppose -u - p*m = -21900008, 10*u - 5*u - 109500006 = -3*m. What is u rounded to the nearest one million? 22000000 Let d = -165.00562 + 165. Round d to 3 decimal places. -0.006 Let h be -1 + 8 + 182504 + -1 + 0. What is h rounded to the nearest one thousand? 183000 Let z = 1.599999744 + -1.6. What is z rounded to 7 dps? -0.0000003 Let l(n) = -42376*n**3 - 2*n**2 + 2*n + 4. Let d(z) = -z**2 - 16*z - 17. Let y be d(-15). Let k be l(y). What is k rounded to the nearest 10000? 340000 Let h = -0.015 + -5.885. Let m = h + 5.985. What is m rounded to one decimal place? 0.1 Let m(q) = 28*q**2 + 7*q - 2. Let n(x) = -84*x**2 - 21*x + 7. Let j(h) = -8*m(h) - 3*n(h). Let t be j(-9). What is t rounded to the nearest one thousand? 2000 Let x = 683 - 686.77. Round x to one decimal place. -3.8 Let s(d) = -d + 2. Let u(f) = 1. Let v(k) = -s(k) + u(k). Let z be v(10). Let x be 495/4 + z/(-12). What is x rounded to the nearest 10? 120 Let r = -1051.00296 - -1051. Round r to three dps. -0.003 Let g = -57 - -57.28. Let q = g - 0.2626. Round q to 3 dps. 0.017 Let f = 100518051 - 100518055.20000044. Let z = f - -4.2. What is z rounded to seven dps? -0.0000004 Let q = -47.7 + -227.3. Let h = 305.2 + q. Let r = h - 30.20137. What is r rounded to 4 decimal places? -0.0014 Let h = 83 + -29. Let o = -53.999795 + h. Round o to five dps. 0.00021 Let b = -82.002 + 82. Let r = -0.00844 - b. Round r to 3 decimal places. -0.006 Let w be (-27 + -6)*((-3406)/(-6) - 1). What is w rounded to the nearest ten thousand? -20000 Let j = 3.4 + 9.6. Let s = j + -13. Let k = s + 0.0000018. What is k rounded to six dps? 0.000002 Let l = -1.1 - -0.468. Let g = l + 0.7. Round g to two decimal places. 0.07 Suppose 0 = 5*m + 2*f - 5790, m - 16*f - 1146 = -14*f. What is m rounded to the nearest 10? 1160 Suppose 3*o - 29115 = 4*v, 0 = v + 3*v - 4*o + 29116. Suppose 11*h - 11110 = -1452. Let n = v + h. Round n to the nearest 1000. -6000 Let g = 58.4 - 197.4. Let z = 115.761291875 + 23.238710995. Let f = g + z. What is f rounded to 7 decimal places? 0.0000029 Let o = 18.6 + -20. Let b = 1.400003 + o. Round b to six dps. 0.000003 Let t = 12 - 11.959. Let s = t - 0.04099975. What is s rounded to 7 decimal places? 0.0000003 Let l = -0.1106 - -1211.1106. Let i = -1196.968 + l. Let u = i - 14. Round u to 2 decimal places. 0.03 Let j(m) = 244996*m - 80. Let i be j(-20). Round i to the nearest 1000000. -5000000 Let p = 3.27 - 2.9. Let d = -0.089 + -0.124. Let r = p + d. What is r rounded to 2 decimal places? 0.16 Let h = -438 - -481.7. Let c = h - 41. Round c to the nearest integer. 3 Suppose -27 = -k - 4*w, 0 = 2*k - 0*k - 2*w - 4. Let r(t) = -t**3 + 8*t**2 - t + 5. Let p be r(k). Suppose -448 = 5*j + p. What is j rounded to the nearest 10? -100 Let g(o) = 9249999*o - 2. Let c(t) = t**3 - 10*t**2 - t + 11. Let b be c(10). Suppose -2*r + b = 5. Let y be g(r). What is y rounded to the nearest 1000000? -19000000 Suppose 3*v - 5*c = 4425, -2*v - 5*c + 2969 = -2*c. Let p = v - 2530. Round p to the nearest one hundred. -1100 Let i(p) be the second derivative of 147*p**5/20 + 5*p**4/12 - p**3 + p**2/2 + p. Let w be i(-6). Let g = -5465 + w. Round g to the nearest ten thousand. -40000 Let d = -3506901960.01 + 3506874400.4164989. Let w = -27313.59349 - d. Let o = w + -246. What is o rounded to 6 decimal places? 0.000011 Let i = -3.095 + 3.13074. What is i rounded to three dps? 0.036 Let o = -95 - -73. Let a = 13.5 + -30. Let q = a - o. Round q to 0 dps. 6 Let g = -0.11 + 2.66. Let f = g - -0.05. Let w = -2.59984 + f. Round w to 4 dps. 0.0002 Let l = 29 + -33. Let t = 3.58 + l. What is t rounded to 1 dp? -0.4 Let v = -0.47199261 + 0.472. Round v to seven decimal places. 0.0000074 Let c = 18246097223.00000119 + -18246097332. Let h = 109 + c. What is h rounded to 7 decimal places? 0.0000012 Let b(y) = -102*y - 6. Let k be b(-23). Round k to the nearest one thousand. 2000 Let u = 312.9999834 + -313. Round u to six dps. -0.000017 Let t = 5.12 - -0.83. Let x = t - 6. Let z = x + 0.0404. What is z rounded to three dps? -0.01 Let t = -0.108 + -6.192. What is t rounded to the nearest integer? -6 Let n = -254.002083 + 254. Round n to 4 dps. -0.0021 Let g = -0.053 + -16.947. Let x = g + 17.000168. What is x rounded to 4 decimal places? 0.0002 Let f = 186 - 91. Let m = 0.79699 - 95.83599. Let w = f + m. Round w to two dps. -0.04 Let u = -121 + 118.67. Let b = 0.23 + u. Let h = 2.17 + b. What is h rounded to 1 decimal place? 0.1 Let o = -55 - -55.67. Let g = o - -0.23. Let t = -0.8999825 + g. Round t to 6 decimal places. 0.000018 Let x = 0.5409 - 0.57263. What is x rounded to 2 decimal places? -0.03 Let f = -2636 - -2635.999992194. Round f to seven decimal places. -0.0000078 Let s = -1867 + 1965.7. Let d = 98.700449 - s. What is d rounded to four dps? 0.0004 Let l = 8440288.400021 - 8440292. Let j = -18.4 + 22. Let n = j + l. Round n to 5 decimal places. 0.00002 Let s = 5136245 + -2026245. Round s to the nearest 100000. 3100000 Let p = -254.9379 - -0.1379. Round p to the nearest 10. -250 Let d be 2/((10/(-15))/(758/6)). Let v = d + 866. Round v to the nearest ten. 490 Let f = -89829.789961 + 89824.39. Let q = f + 5.4. What is q rounded to five decimal places? 0.00004 Let i = 1998 - 2900.4. Round i to the nearest 100. -900 Let p = -532.9 + 509.39. Let w = -0.4 - 22.6. Let z = w - p. What is z rounded to 1 dp? 0.5 Let b = -1177.3 - -222.8. What is b rounded to the nearest 10? -950 Suppose 0 = 4*h - 3*o - 285588, 2*h - 5864 = -o + 136940. What is h rounded to the nearest ten thousand? 70000 Suppose -3*y + 8351 = -2*f, 18*f - 17*f - 5*y + 4165 = 0. Round f to the nearest one hundred. -4200 Let k = -804 - -799.67. What is k rounded to 0 dps? -4 Suppose -110*x + 111*x + 19550 = 0. Round x to the nearest 10000. -20000 Let b = 30.1 - 43.8. Let u = -9 + -5. Let q = u - b. Round q to 1 decimal place. -0.3 Let l = 61.112 - 0.112. Let s = 0.463 + 53.137. Let p = l - s. What is p rounded to 0 dps? 7 Let q = 1.528 - 1.5279389. What is q rounded to six decimal places? 0.000061 Let k(p) = -4631*p**3 - p**2 + 15*p - 9. Let r be k(-9). Let t = r + -6110208. Let w = t - 245566. What is w rounded to the nearest 100000? -3000000 Suppose -5*a - t = t + 465002, -t - 1 = 0. Round a to the nearest one thousand. -93000 Let u = -88.1 + 914.1. Let c = 477 - u. Let p = c + 347.09. Round p to one dp. -1.9 Suppose 3 = 4*c - 3*c - v, v = 0. What is c rounded to the nearest one hundred? 0 Let x be 210000020/50 + (4 - 22/5). What is x rounded to the nearest 1000000? 4000000 Let k = -0.04 - 0.006. Let q = k - 3.654. Let f = q + 6. Round f to the nearest integer. 2 Let w = -1848.4 + 338.4. Let n = 1512.366 + w. Let j = 2.4 - n. Round j to two dps. 0.03 Let w = 106.30569 - 106.3. What is w rounded to 3 decimal places? 0.006 Let v = 0.05500286 - 0.055. What is v rounded to 7 decimal places? 0.0000029 Let d = 1.13233 + -0.9923375. Let z = 0.14 - d. What is z rounded to six dps? 0.000008 Let b = 340 - 324.56. Round b to the nearest integer. 15 Let a = -0.163 + 0.023. Let u = -0.14008 - a. What is u rounded to 4 dps? -0.0001 Let c = -2.12827943 - 908994376.87172057. Let k = c - -908994423.99999848. Let l = k - 45. What is l rounded to seven dps? -0.0000015 Let d(j) = -1350000*j. Let w = -20 - -19. Let u be w + 2 + -1 + 2. Let i be d(u). What is i rounded to the nearest 1000000? -
{ "pile_set_name": "DM Mathematics" }
1.9 - 0.1. Let y = -313.9331 + -0.0669. Let m = 313.7 + y. Is m >= v? True Let z = 1.847 + -40.187. Which is smaller: z or 1/2? z Let f be (2/(-8))/((-1)/16). Let q be 0/((-1)/(f - 3)). Let g be q/(2/8*4). Is g greater than -1/40? True Let t = -1158 + 1150. Let p = -12 - -7. Let n be 71 + (-2 - (p + t/(-4))). Which is smaller: n or 71? 71 Suppose -15*a + 3845 = 320. Suppose u = -5*x - 223, -2*x + 7*x + a = -5*u. Let q = 43 - 86. Which is smaller: q or x? x Let q = 3444 - 3504. Let c = 54.7 - -6.3. Let j = q + c. Are -6/29 and j non-equal? True Suppose -2706*g = -2695*g + 363. Does 2/179 = g? False Let p = -176.132 - -0.132. Let s = 0.4856 + -1.4856. Which is smaller: p or s? p Let p = 0.216 - 2.006. Let l = 70.21 - p. Let t = -51 + l. Which is greater: t or 0.2? t Let d = -86.9 + 87. Let i be (-2)/5*18075/240. Let m = i + 30. Which is bigger: d or m? d Let w = -3751169/283 - -13255. Let s = w - 26/38205. Let x(a) = -6*a + 29. Let v be x(5). Are v and s non-equal? True Let m = 633/10 - 9517/150. Which is smaller: 0 or m? m Let a be 0 - -1 - 69/65. Let c be (-2)/(-42)*3/(10 + 20655/(-2007)). Let m = c - a. Are 1 and m non-equal? True Let d = -63 - -167. Let q = 36342 - 36239. Is d > q? True Let z = 0.3 - -0.2. Let j = -0.3 + z. Let s = -9 - 3. Are j and s equal? False Let n = -7178 + 7185.282. Let t = 0.018 + n. Let y = t + 0.7. Which is bigger: 2/5 or y? y Let h = -1578 + -3430. Is h < -5008? False Let l be ((-17)/(-2))/(((-63)/108)/7). Let c = l - -90. Is -56/5 smaller than c? False Let p(n) = 74*n + 3. Let w be p(-3). Let o be (-6)/9 - (-15 - 31655/156). Let s = o + w. Which is smaller: -3 or s? -3 Let i = 39571 - 115666031/2923. Is i at least as big as -1? True Let k = 4263 - 878181/206. Let b be (-5*6)/((-12978)/4). Let v = b - k. Which is smaller: -1 or v? -1 Suppose 2*i - 18 = 10. Suppose -9 - 5 = i*g. Let q = 428 - 3002/7. Which is smaller: g or q? g Let j = -23 - -61. Suppose -4*t - 60 = -3*y, 4*t + 30 = 5*y - j. Let a be (-17)/(-8)*(-16)/t*1. Is 2 != a? True Let k = -65154/403 + 2103/13. Which is greater: k or 2/563? k Suppose 0 = -37*m + 24*m - 66 + 534. Is m < 183/5? True Let m = 310 + -167. Suppose 0 = 5*h - 5*u + 190, -7*u + 2*u - m = 4*h. Which is bigger: h or -110/3? -110/3 Let j be (-3)/4*(-23 + 0 - -3). Suppose -p - 121 = -4*o, -j = 4*p - p. Suppose -4*k = 4*x - o - 87, -x - 4*k + 17 = 0. Is 32 <= x? True Suppose -16*d = 10 + 118. Let u be ((-7)/(-56))/((-394)/d). Which is bigger: u or -1? u Let q = 0.17127 + 7.82873. Which is greater: -843 or q? q Let d = 4697/5 - 1883507/2005. Let t(v) = 2*v - 3. Let g be t(1). Is g bigger than d? False Let s be 2/(-1)*1164/(-24). Let m = -96 + s. Let i be ((-36)/(-10))/(-3) - -1. Is i greater than m? False Let k(r) = 25*r - 275. Let y be k(12). Suppose 4*v + 2 = 5*i, -3*i + 5*v + y - 16 = 0. Is i bigger than -81? True Suppose 3*i + 21 = 4*k - 2*k, -2*i - 19 = -3*k. Suppose 2*r + 0*r = -k*t + 104, -4 = 2*r. Let z be 23 - (-1 + 1)*18/t. Is z != 20? True Let v = -6.09 + 0.09. Let t = v + 13. Let j = t - -8. Which is smaller: 0 or j? 0 Suppose -2*i - 448 = -0*i - 4*v, 3*i + 696 = -2*v. Let w = -275 - i. Is 5 at most w? False Suppose 5*q = -j + 10, 0 = -0*j + j - 3*q - 2. Suppose g - j = 31. Suppose 3*r - 15 = g. Is 18 greater than r? True Suppose 11*x - 31 = 24. Let r = 6326491/2268285 + 1/12261. Let h = r - -30/37. Is h greater than or equal to x? False Let s be 2/(-4) - (-778)/4. Let t = 163744 - 163549. Is s at most as big as t? True Let f = 18 - 18.22. Let l = -0.38 - -0.282. Let p = l - -1.098. Which is greater: f or p? p Let l be 18/(-8)*(-52)/39. Suppose 6*j - l*j - 9 = 0. Suppose 15 = -3*d, -k + 60 = -j*k - 2*d. Is k at most as big as -24? True Suppose 38*k + 445 = -315. Let j be (48/(-30))/(36/k - 4). Is j at most as big as -0.1? False Let d = -2 - -2. Let l be (-1784)/(-2899)*(-91)/(-28). Is l at most d? False Let h be (-21408)/132 + 10/55. Let i = -649/4 - h. Are i and -5.1 equal? False Suppose -p - 19 = -10*j + 12*j, 0 = -3*j - 3*p - 36. Suppose n - 39 = -4*x, 33 = 4*x - 0*n - n. Which is greater: x or j? x Let t = -3913 - -8187. Are 4274 and t non-equal? False Suppose 0 = 31*r + 2079 + 1004 - 417. Which is smaller: -173/2 or r? -173/2 Let r(q) = 34*q + 66. Let c be r(-4). Let d be (c/75 - -1)*18. Let j = 0.1 + -2.1. Which is bigger: j or d? d Suppose -398 - 631 = -296*q + 451. Suppose -5*c - 3*u = u - 17, 27 = 5*c - u. Do c and q have different values? False Let h = -2315 + 1488547/643. Which is bigger: h or 4? 4 Suppose 4*i = 579 + 61. Suppose i = 18*a + 412. Is a less than or equal to -76/5? False Let u be (-243)/(-2870) - (-303)/3030. Is u <= 1? True Let y = -20.4 - -237.4. Let u = y + -217.3. Let x = 445/2 + -1765/8. Which is bigger: u or x? x Let g = 39556652/2611 + -15150. Which is smaller: g or 1? g Let l = 30.9 - -580.1. Let y = l + -647. Is y greater than -1/3? False Let c(q) = -q**3 + 23*q**2 + 22*q + 52. Let t be c(24). Suppose 8*k + t = -44. Which is bigger: -5 or k? -5 Suppose 150*u - 157*u + 840 = 0. Suppose -u + 48 = -x. Is x >= 72? True Let k(r) = -r**3 - 14*r**2 + 2*r + 15. Let y be k(-14). Let c(u) = 6*u + 59. Let f be c(y). Suppose 0 = -4*m + 2*o - 76, -28 = 2*m - 0*o + 4*o. Is m != f? True Suppose i + 4 = 0, 5*s - 46 = -4*i + 38. Suppose 4*f = s - 12. Is f less than or equal to 0.1? False Suppose 5*w = -4*f + 1479, 6*w - 10 = 8*w. Suppose -179 + 28 = -2*m + i, 0 = -5*m + 3*i + f. Let l be (0 - 1) + 33/m. Is -0.1 < l? False Let t(z) = z**3 - 100*z**2 + 105*z - 220. Let n be t(99). Is 372 less than n? True Let j = 172/75 + -39193/1425. Is j greater than -25? False Let z = 37.06 - 0.26. Let i = z - 33. Let r = -12.8 + i. Is 4 at most as big as r? False Let o(u) = -2*u**3 + 32*u**2 + 40*u - 49. Let j be o(15). Is 2 greater than j? False Let w = 26939 - 30927. Which is bigger: 0 or w? 0 Let b = 28153.5 - 28153. Which is smaller: b or 1224? b Let m(v) = -v**3 + 2*v**2 - v + 901. Let a be m(0). Suppose -a = 12*f + 35. Does -393/5 = f? False Let b = -191.8 - -217.19. Let f = 0.61 + b. Let t = -23 + f. Which is smaller: t or -3? -3 Suppose 0 = -3*j + 6 + 9, -294 = 3*b - 3*j. Let o = b + 96. Let l be o/(-2)*108/13527. Which is smaller: 0 or l? l Let w be (-132)/88 + 1/2*43. Suppose 465 = w*d - 5*d. Let m = d - 31. Do -14 and m have the same value? False Let q = 486 - 376. Suppose -13*n - q = -305. Is -4 at most as big as n? True Let i be 8963/5 + -2 + (-14)/(-35). Which is smaller: i or 1789? 1789 Let q = 148 - 166. Let p be (9/q)/(111/(-2)). Is 1 not equal to p? True Let p = -4/6813 - 188072/757. Is -0.3 < p? False Let q(b) = -4589*b**2 - 68*b - 136. Let f be q(-2). Does f = -18355? False Let v = -160 - -167. Let i be (v + -7)/(4 - 10). Let s = 17369/29 + -599. Is s bigger than i? False Let v(a) = a**3 + 22 - 16*a**2 - 11*a**2 - 19*a + 4*a**2 + 6*a**2. Let u be v(18). Suppose 38 - 50 = u*t. Is t at most as big as -4? False Let r be 3 + (-40)/12 - (-16)/48. Which is bigger: 1/690 or r? 1/690 Let s be (-27)/120*625/(-750). Which is smaller: s or 0? 0 Suppose 544 = g - 62. Is 607 bigger than g? True Let v(n) be the first derivative of 2*n**3/3 + 5*n**2/2 + 16*n + 67. Let i be v(-7). Is i at most 80? True Let o be -3*10/12*-76. Let z = 189 - o. Is z less than 2/17? True Let h = -158 - -164. Suppose 3*a = -m - 2*a + h, 5*m + 5*a = -50. Suppose 0 = -3*l - 57 + 18. Is l greater than or equal to m? True Let m = -0.232 + 0.232. Let l = -859 - -859.58. Is m at least l? False Suppose 36 = 2*x + 26. Suppose -x*t + n - 1 = -4, 4*t - n - 3 = 0. Which is smaller: -22 or t? -22 Suppose -4*y - 66 = -a - 420, -1680 = 5*a - 5*y. Which is bigger: -2960/9 or a? -2960/9 Suppose -35 = -8*g + 53. Let o(j) = -3*j**2 + 14*j + 21. Let r be o(g). Let z be 0 - (2 + r/84 + 0). Which is smaller: z or -1? -1 Let j(w) = -w**3 + 3*w**2 - 5*w + 137. Let q be j(6). Which is smaller: q or 10/409? q Let q be (-3)/(-8)*(-85)/255. Is q greater than or equal to -13? True Let f be (288/(-457296))/(2/(-7)). Is 1 smaller than f? False Let b = -0.2 + 9.1. Let n = -22.3 + b. Is n at least 0.1? False Let p = -14728 - -16818. Is 2088 less than p? True Let l = -8 + -1. Let o = -24 - l. Suppose -3*f - 38 = 2*i - 1, 2*f - 8 = i. Is o at most i? True Let y = -21 + 24. Suppose -2*w - 3*n + 27 = w, -4*w - y*n + 36 = 0.
{ "pile_set_name": "DM Mathematics" }
2464. Let k = 3717 + o. Is k prime? False Suppose 41*v + 55*v = 24538848. Is v prime? True Suppose -4*h = 3*u - 1856, 2*u + 2343 = 4*h + h. Suppose 0 = j + 3, -4*w + h = -2*j + 109. Suppose w = -15*t + 19*t. Is t composite? True Suppose -327855 = 20*d - 4601207 + 693612. Is d a prime number? True Is 24861960/81 - 16/(-72) composite? True Let f(v) = -49*v - 6. Suppose 4*d + 7 + 41 = 0. Let c be 152/d + 3/(-9). Is f(c) a composite number? False Suppose -3*j + 3*y - y + 24 = 0, -5*j + 2*y + 36 = 0. Suppose j*n = -0*n + 138. Let a = 414 - n. Is a a composite number? True Suppose -3*m = -3*i + 256161, -9*i + 8*i - 5*m = -85339. Is i composite? True Let l(g) = -21*g - 13*g + 39 + 77*g + 333*g. Is l(2) a composite number? True Is 2151 - (2/3)/((-52)/468) a prime number? False Suppose -3*a + 66080 = 4*v, -v = 3*a + 4*v - 66079. Suppose -a = -4*p + 4*t, -3*t - 2*t = 0. Is p a prime number? True Suppose 2*z - 2*v = 4*z - 19754, 4*z - 39513 = -5*v. Suppose 4*j = -8544 - z. Is 3*-1*j/12 composite? False Let d = 5822 - 8421. Let y = d - -5840. Suppose 4*w + s = 4353, -3*w + s + 3*s = -y. Is w a composite number? False Suppose 454*z = 485*z - 765235. Is z a composite number? True Suppose 0 = -103*k + 110*k - 804769. Is k prime? True Let l = 3228 + -889. Suppose u - 3*o = l, 20*u - 23*u = -o - 7001. Is u a prime number? True Let q = 483 - 480. Suppose 3*j - j = -3*f + 3469, -3*j = -3*f + 3489. Suppose -q*s = -5*a - 868, -4*s + 3*a + 2*a + f = 0. Is s a composite number? True Suppose -3*r - 5*t + 75124 = -27209, -2*t = -4*r + 136418. Is r composite? True Suppose 19*k - 59*k + 3849134 = -2*k. Is k a prime number? True Suppose -2*x - x = -3*y + 230370, 2*y - 5*x - 153592 = 0. Is y a prime number? False Suppose 3*x = -3*n, 5*x - x + 6 = -3*n. Let m(y) be the second derivative of 11*y**4/4 - 3*y**3/2 - 29*y**2/2 + y. Is m(x) composite? False Let d = 947 - 944. Suppose -130*i + 129*i = 4*m - 5921, 3*m + d*i = 4434. Is m a composite number? False Is (18633 - (2 - 2))*(-5)/(-15) composite? False Suppose -39*h + 22*h - 22*h + 1613469 = 0. Is h prime? False Let v(o) = -o**3 - 26*o**2 - 24*o + 6. Let j(u) = 9*u + 56. Let y be j(-9). Let b be v(y). Let s(x) = -x**2 - 16*x + 64. Is s(b) a prime number? True Is (295304/32)/(18/72) a composite number? False Suppose 0 = 18*n - 10*n - 952. Let r = n - -60. Is r prime? True Suppose -r = -2*v + 149, 3*v + 2*v = 4*r + 371. Suppose 15 - v = -5*q. Suppose -14*n = -q*n - 1262. Is n a composite number? False Suppose -80*y + 54832325 = -12867915. Is y a prime number? False Is 15 + -18 + 223028 + 18 composite? True Let u(x) = x - 15. Let v be u(22). Let s(n) = -n**3 + 18*n**2 - 16*n + 18. Is s(v) composite? True Let i(n) = n**2 - 8*n + 13. Let k be i(7). Suppose -k*o = -469 - 12011. Let w = o + -1103. Is w composite? False Is (-12)/18*2568537/(-18) prime? True Suppose -2*m + 5*n + 98186 = 0, -5*m - 9*n + 6*n = -245465. Is m composite? True Suppose 0 = 26*f - 44552039 + 13653249. Is f a composite number? True Suppose -3*y - 3 = -33. Suppose 0*i - 2*i + 769 = 3*d, 0 = 5*i - y. Suppose -535 = -2*f - a, 0 = f - 0*a - 2*a - d. Is f prime? False Let u(m) = -11*m**3 + 6*m**2 + 3*m + 7. Suppose 10*a + 6 + 44 = 0. Is u(a) prime? False Let t = -767 + 772. Let q(c) = -10*c**3 + 3*c - 12. Let y(p) = -30*p**3 + p**2 + 8*p - 37. Let r(d) = -7*q(d) + 2*y(d). Is r(t) a composite number? True Let k = -112973 + 185158. Is k composite? True Let f = -233 + 236. Suppose -4*i + 4285 = -3*y, f*i + 2*y = 3*y + 3210. Is i prime? True Suppose 8*r - 27*r = -483930. Suppose -7*b - r = -267551. Is b prime? True Is (-3 - 2) + 65971 + -15 a prime number? True Suppose 0 = -90*w + 23695551 + 9643779. Is w a composite number? True Suppose 5*b + 5*g = 0, -2*g = -3*b - 4*g. Suppose b = -f - 7*f + 3848. Is f composite? True Let p(q) = q**2 - 6. Let r be p(-2). Is (-332)/(-2)*(1 + (-29)/r) a prime number? False Let f = -150 + 105. Let n be (-2)/6 + (-6720)/f. Suppose -n = -0*t - t. Is t prime? True Let y(n) = 3250*n**2 + 328*n + 2333. Is y(-7) composite? False Suppose 20 = -5*a, 87*a - 89*a + 88389 = p. Is p a prime number? True Let g(c) = -625*c - 33. Let z(w) = -14*w**3 + w**2 - 5*w + 4. Let f be z(1). Is g(f) a composite number? True Let u(a) = 494*a + 4161. Is u(40) a composite number? True Let f = 80772 - -4141. Is f a composite number? False Is 536553 + (-4 - (13 - 25)) prime? True Let x(q) = -2*q**3 - 42*q**2 - 13*q - 34. Let c be x(-19). Let z = 16 - c. Is z a prime number? False Let u(s) = s**3 - 3*s**2 + 3. Let y be u(3). Suppose -8*g + 85 = -y*g. Let j(q) = q**3 - 17*q**2 + 9*q - 8. Is j(g) a prime number? False Let d(i) be the third derivative of -i**6/120 - 11*i**5/60 - i**4/8 - 11*i**3/3 - i**2. Let t be d(-11). Suppose 0 = 12*l - t*l - 629. Is l a prime number? False Suppose -3*a + 140 = -2*d, -5*a + 186 = 3*d - 22. Suppose -a*s + 4700 = -8192. Is s prime? True Suppose -90*o + 17669621 = -7*o. Is o a prime number? False Suppose 0 = -2*d + 13*d - 209. Suppose -3*q + 3588 = -5*k, 3*q - d*k = -16*k + 3582. Is q composite? True Let c(f) = 8 - 77*f + 9 - 16 - 135*f. Let g(b) = b. Let j(l) = -c(l) - 2*g(l). Is j(5) a composite number? False Let g(y) = 54*y**2 + 11*y - 10. Let f(z) = -81*z**2 - 17*z + 16. Let a(i) = -5*f(i) - 7*g(i). Is a(9) prime? False Suppose 12*x = 11*x + 10. Let g be (2 - 8/x)/(1/(-3630)). Let y = -2845 - g. Is y composite? False Suppose 1590*h + 19573624 = 1598*h. Is h a composite number? True Let a be (-2 - -4)/((-14)/(-35)). Is (-1514)/(-4)*(-3 + a - 0) prime? True Suppose 9095 = -38*z + 43*z. Let i = -1444 + 160. Let w = i + z. Is w composite? True Let j = -35077 - -90164. Is j a prime number? False Suppose 849*y - 117931903 = 592*y. Is y prime? True Let j(a) = -9*a - 4. Let o be j(-1). Let i be (-100)/o*(-38)/4. Suppose i = 10*x - 5*x. Is x composite? True Let j = -487026 + 1035413. Is j a prime number? False Is (5 - 84/18)*60519 prime? True Let q(z) = 492*z**3 + 32*z + 488*z**3 + 42*z**2 + 19 - 979*z**3. Is q(-16) composite? False Suppose 956 = o - 122. Suppose 373 = -5*h + o. Let d = h + 492. Is d a prime number? False Let v = 81279 + 111250. Is v a prime number? True Let s = -9345 - -19534. Is s prime? False Suppose -34 = -5*v - a + 4*a, 3*v - 22 = a. Suppose -v*l = -5*l - 12. Suppose 3*k - l*t = 3862, -4*k + 3490 + 1711 = 5*t. Is k composite? True Let h = -10711 + 23495. Let i = 2359 + h. Is i a prime number? False Suppose -3*x - 8*j - 10 = -6*j, 5*x + j + 5 = 0. Suppose x = -136*k + 135*k + 5087. Is k a prime number? True Let k(o) = o**3 - 15*o**2 + 22*o + 8. Let i be k(10). Let c = i + 130. Let x = 239 + c. Is x a prime number? True Let t = -5581 - -5583. Suppose -10 = 2*c + 4*h, c + 3*h + 0*h + 9 = 0. Suppose 7*x + c*y = t*x + 14240, 0 = 4*y - 20. Is x a prime number? False Let o = -48746 - -109335. Is o a prime number? True Let n be (-2)/12 + (57249/54 - -1). Suppose j - 158 = n. Is j a composite number? True Is 1077104 - (-22 - 17/17) composite? False Let h = 33 + -33. Suppose 18 = 3*k - 3*c, -3*k + 5*c + 10 = -h*k. Is 1/(-5) - ((-55244)/k)/7 a composite number? True Suppose 72 - 63 = -3*z, 2*i - 486696 = -6*z. Is i a composite number? True Let g(r) = -372*r**3 + 8*r**2 + 34*r - 7. Is g(-3) a prime number? True Let q = 89 + -91. Let o be (q - -6 - 1) + 4. Suppose 4470 = -h + o*h. Is h prime? False Let q be -4 + -3 + 2 + 5. Suppose -13*f + 0 + 0 = q. Suppose -g - 5*r + 2914 = f, 3*r + 8812 = 3*g + 4*r. Is g a prime number? True Suppose 5*k = 3*w - 168, -2*k - 4*w = 25 + 63. Let p = 45 + k. Let l(f) = 6*f - 29. Is l(p) a prime number? False Suppose -8*j + 35*j = 2*j + 18592575. Is j composite? True Let r(s) = s**3 - 9*s**2 + 4*s + 13. Let v be r(7). Let k be v/21 + 3 - (-72)/42. Is k + 16/(-7) - (-164511)/63 a composite number? True Suppose 3*w + 303570 = 8*w. Let d = w - 38729. Is d composite? True Suppose 2*d - 45505 = 3*r, -21418 = 3*r - 4*d + 24079. Suppose 10*o + 225 = 5*o. Is r/o + (-4)/30 a composite number? False Suppose 348*l - 600*l = -312*l + 17467860. Is l composite? True Let o be (-480)/(-228) + 4/(-38). Suppose -3*p - 5*z + 4 = o, 0 = -5*p - 4*z + 25. Suppose 10*c = p*c + 427. Is c prime? False Suppose 108 = 3*z - 0. Let c = -44 + z. Is (4/c)/(2/(-5924)) a composite number? False Let r(d) = -d**2 - 5*d - 2. Let
{ "pile_set_name": "DM Mathematics" }
What is the second biggest value in -1, j, 1/5, -0.5? -0.5 Let n = -1.71 + 2.11. What is the second smallest value in 0.02, -1/3, n, -5? -1/3 Let p be ((-12)/14)/(438/(-84) + 5). Which is the third smallest value? (a) p (b) 2/57 (c) -3/8 a Let r = -2 + -2. Let x be 2*(-2 - 0)/(-2). Let p = 2 - -7. Which is the third biggest value? (a) p (b) r (c) x b Let f = -2.4 + 2.23. Let v = -0.13 + f. What is the third biggest value in 1/7, v, -2/7? v Let q = 7 - 16. Let g = 0.06 - 4.06. Let t = g - q. What is the second biggest value in 3, t, -5? 3 Let z = 2.59 + -0.89. What is the fourth biggest value in 4/3, -1/4, z, -5? -5 Let z = -24.5 + 25. Which is the second biggest value? (a) -1 (b) z (c) -12 (d) 0.4 d Suppose 2 = -5*w + 27, w - 9 = 2*i. Which is the third smallest value? (a) -1 (b) -177 (c) i (d) 1/4 a Let r = -218 - -208. Which is the second smallest value? (a) 0.4 (b) -0.2 (c) r b Let a be (-2436)/1305 + 5/3. Let f be 6/(-5) - 4/(-2). What is the smallest value in f, a, -0.4? -0.4 Suppose 6 = r - x, 4*r - 40 = 2*x - 6*x. What is the third smallest value in r, -2, 0.3, -2/5? 0.3 Suppose -39*w + 435 = -10*w. What is the second biggest value in 2, w, -0.1, -2? 2 Let r be (-21)/(-15) - (0 - -1). Let z be 385 + -387 + 0 + 1*4. Which is the second biggest value? (a) -2 (b) z (c) r c Let d = 298.7 - 298. Which is the third biggest value? (a) d (b) 2/3 (c) 2 b Let u = 23.3 - 21. Let y = -2.1 + u. Which is the third smallest value? (a) -1.1 (b) y (c) -2 b Let u = 0.27 + 0.03. Let o = 1310 + -1307. What is the smallest value in u, o, 4, -1? -1 Let f = -236 + 234. What is the biggest value in 2/15, 12, f? 12 Let p = 1.213 - -0.087. Let j = 1.6 - p. Which is the third biggest value? (a) j (b) 3 (c) -5/3 (d) 2 a Let f = -560 - -555. What is the third biggest value in f, -0.037, 0.2? f Let v = -17 - -17. Let m = -61 - -60.7. What is the third biggest value in m, v, 2? m Let i = 52 + -114. Let s = -1052/17 - i. Which is the second smallest value? (a) s (b) 0.11 (c) 5 a Let p = -221/10 + 113/5. What is the third biggest value in -11, -1/6, p, 4? -1/6 Let n = -178 - -168. Let h be (11 - 15)*1/(-9). Which is the second smallest value? (a) 0.4 (b) -1/4 (c) n (d) h b Let y be 0/1 - (-1)/2. Let v = -8.452 + 8.352. What is the second smallest value in 7, -0.5, v, y? v Let u = -0.5 - -1.5. Let f = 13 + u. Let q = f + -13.9. Which is the second biggest value? (a) 2/17 (b) -2/9 (c) q c Let j = -0.1597 - 1.8403. Which is the third smallest value? (a) 9 (b) 2/13 (c) j (d) 0 b Let n(t) = t**3 + t**2 - 1. Let h be n(0). Let f be (-15)/35*-2*(-5)/(-15). What is the third biggest value in f, 4, 2/9, h? 2/9 Let s = 0.3191 + -0.1291. Which is the third biggest value? (a) 5 (b) -1/6 (c) s b Let p = 232 - 695/3. What is the fourth smallest value in -28, -5, p, 0.2? p Let g be (-1)/(-2) + (-3)/12. Suppose -6 + 4 = -8*m - 2. What is the biggest value in g, 2/11, m? g Let l be 4/(-16) - 21/(-20). Let i be 8/(-40)*4*3/18. What is the fourth biggest value in -3, i, 2, l? -3 Let s = -30.7 + 30.64. Which is the biggest value? (a) -0.1 (b) 0.2 (c) 0.1 (d) s b Let y = -1.1 + 1. Let u = 84 - 46. Let f = -35 + u. Which is the smallest value? (a) -2/9 (b) f (c) y a Let g = -914 - -910. What is the second smallest value in -0.2, -0.18, g? -0.2 Let x be 208/(-80) + (-4)/10. Let w = 42 - 44. Which is the second biggest value? (a) -0.5 (b) w (c) 5 (d) x a Let s(l) = -l + 5. Let g be s(5). Let z = 0.05004 + 2.94996. Which is the fourth biggest value? (a) -1/2 (b) g (c) -12 (d) z c Let q = 4881 - 4886. Let l = -0.09 + 6.09. What is the third smallest value in 4, q, 0.01, l? 4 Let o = 265/1314 + 3/146. Let n = 767.1 + -767. Which is the biggest value? (a) o (b) -2 (c) n a Let h = -2 - -1.89. Let z = -0.39 + h. Let v = 3 - 5. Which is the second smallest value? (a) z (b) -3 (c) v c Suppose 5*p + 5*l - 2*l - 25 = 0, 5*l = -5*p + 35. Let j be (2/6 - 0)/1. Let w = 72 - 72.1. What is the third biggest value in w, j, p? w Let i be (-665)/(-490) - (-2)/(-4). Which is the second smallest value? (a) -5 (b) i (c) -0.02 (d) 3 c Let u be 3 + -7 - -4*36/40. Which is the smallest value? (a) -1 (b) 3/4 (c) u (d) 18 a Let f = -0.1163 + 0.0363. What is the third biggest value in 2, f, 3? f Let b be (-2)/5 - 12/20 - -3. Let m = 15 + -10. What is the third smallest value in b, m, -0.3? m Let l = -103 - -513/5. Let z = 6 - 4. Let j be 9/(-5)*(6 - 69/9). Which is the biggest value? (a) z (b) l (c) j c Let y(u) = -u**3 + 4*u**2 + 8*u - 5. Let f be y(5). Let n = -21/2 + f. Let g be (-4)/(-30) + 121/(-495). Which is the biggest value? (a) g (b) n (c) -0.2 a Let v be 9792/60*-1*5. Let w be -43*1*4/v. Let l = -2/51 - w. What is the third smallest value in 3, -2/17, l? 3 Let r = 11 - 8.5. Let d = 2.1 - r. Let n be (2 - 4)/((-2)/(-5)). Which is the smallest value? (a) d (b) n (c) 0.1 b Let q = 144 + -143.8. Let p = 12 + -14. Which is the second smallest value? (a) q (b) -1/4 (c) p b Suppose 29 = -7*j + 225. Suppose 5*f - 3 + j = 0. Let o = 0.4 - 0.7. What is the smallest value in 5, f, o? f Let v = -185 - -133. Let i = v + 51.6. What is the smallest value in i, -4, -0.5, 2/5? -4 Let c be (270/63)/(1/7). Suppose 0 = u + c - 38. Let d be u/(-10) + (-21)/5. What is the second smallest value in d, 1/6, -1? -1 Let n(q) = -q**3 - q**2 - 3*q - 9. Let s be n(-2). Let j = -0.45 - -0.05. Let t = j + -4.6. What is the third smallest value in 0.1, s, t? s Let q = 4 + 5. Let t = -0.285 + 9.225. Let g = q - t. Which is the third biggest value? (a) g (b) 5/3 (c) -4 c Let a = -233/4 + 58. Let j = 56 + -56. Let w = j - 0.1. What is the third smallest value in w, a, 3? 3 Let i = 0.613 - 0.213. What is the third biggest value in -26, 0, -0.2, i? -0.2 Let u = 3.3 - -22.7. Let j = u - 29. What is the biggest value in j, 5, -1/8? 5 Suppose 2*i = 6*i - 2*w - 686, 334 = 2*i - 4*w. Let v be 3 - (1 - (-7532)/(-44)). Let r = i - v. Which is the third biggest value? (a) -4/3 (b) r (c) -5 c Let d(o) = -o + 16. Let s be d(7). Suppose -12*m + s*m = 6. What is the smallest value in -0.2, 12, m? m Let j = -807/7 + 115. What is the smallest value in 2, j, -2, -3? -3 Let w = -0.214 - -0.074. Let r = -0.04 - 0. Let b = w - r. What is the smallest value in -5, b, -3? -5 Let m = -116 + 57. Let f = m - -58.3. Let q = -3 + 1. Which is the third biggest value? (a) 2 (b) f (c) q c Let s = 0.17 - 0.03. Let q = 10.86 + s. Let i = q - 15. What is the second smallest value in 1/10, 3, i? 1/10 Let x = -38.5 - -12. Let r = -27 - x. What is the second biggest value in -3, 0.5, r? r Suppose 11*r - 13 = -79. What is the third smallest value in r, -1/12, -0.1? -1/12 Let c be -2*1 + 324/(-24). Let t = c + 15. What is the third biggest value in 1/5, -3, t? -3 Let w(u) = -u**3 - 42*u**2 - 113*u + 151. Let l be w(-39). Let a be ((-6)/16)/((-3)/2). What is the third biggest value in l, a, 7? l Let f = 33.077 - 0.077. Let v = f + -36. Let s = -0.01 - -0.04. What is the third smallest value in -4, v, s? s Let n = 17 - 35/2. Let d = 263/3 - 87. Let m = 1587 - 1586. What is the second smallest value in n, d, m? d Let k = -1391 - -1395. Which is the fourth biggest value? (a) 104 (b) k (c) -4 (d) 1 c Let d = -1/8 - -17/72. Let i = -2.2 + 1.6. Which is the third smallest value? (a) -2 (b) d (c) i b Let h = 8.5 - -1.5. Let v = 0 - h. Let x = v - -12. What is the second smallest value in -1/7, -0.5, x? -1/7 Let n = -0.46 + -28.54. Let u = n - -36. Which is the smallest value? (a) u (b) -2 (c) -0.1 b Let i = -3/1142 - -1163/7994. What is the smallest value in i, -10, 2? -10 Let a be 6/(-8)*(-4)/12. Let r = 2729 - 2725. What is the fourth biggest value in 0.6, 3/7, a, r? a Let g = 863.5 - 864. What is the third biggest value in g, -0.4, 1/200? g Let j(z) = 3*z - 8. Let p be j(2). Which is the fourth smallest value? (a) p (b) -2/5 (c) -1 (d) -6 b Let t = -3.1 + 0.4. Let k = -3.2 - t. Let x = -2.04 - -0.04. Which is the second biggest value? (a) -5 (b) x (c) k b Let h = -82.833 - 0.167. Let s = h - -81. Let v be (-6)/4 - (-26)/20. What is the third smallest value in s, 2, v? 2 Let j = -18.8 - -5.8. Which is the second biggest value? (a) j (b) 5 (c) 0.4 c Let f(x) = -x**2
{ "pile_set_name": "DM Mathematics" }
o = -48 + 58. Let y(t) = -1 - 11 + o + 2*t. Determine m(y(q)). 8*q**2 - 16*q + 8 Let z(g) = -7*g**2. Let u(i) = -13952322*i. Calculate u(z(l)). 97666254*l**2 Let a(h) = -215391*h + 305. Let c(o) = -2*o**2. Determine a(c(s)). 430782*s**2 + 305 Let n(z) = 10*z**2 - 4. Let k(v) = 7*v**2 - 67788. Determine k(n(o)). 700*o**4 - 560*o**2 - 67676 Let r(z) be the third derivative of 0*z**3 + 1/6*z**4 + 0*z + 0 + 18*z**2. Let x(k) = -4*k + 4*k - 3*k. Calculate x(r(f)). -12*f Let i(a) = a. Let t(c) = 4*c**2 + 6*c + 2. Let k(z) = -3*z**2 - 8*z - 3. Let r be (6/11)/((-74)/(-407)). Let f(s) = r*k(s) + 4*t(s). Give i(f(q)). 7*q**2 - 1 Let n(z) = 41606*z + 2. Let r(u) = 555*u. Determine n(r(f)). 23091330*f + 2 Let l(x) = 3*x + 59. Let p(u) be the third derivative of -u**5/30 + 1970*u**2. Give p(l(h)). -18*h**2 - 708*h - 6962 Let d(i) = 1 - 1 - 844*i + 832*i. Let c(b) = -21*b. Let k(o) = -5*o. Let f(j) = -2*c(j) + 9*k(j). Let h(t) = t. Let z(w) = -2*f(w) - 5*h(w). Determine d(z(r)). -12*r Let c(g) = 32*g**2 + 39*g**2 + 31*g**2 - 95*g**2. Let d(f) = f**2 + 1. What is c(d(q))? 7*q**4 + 14*q**2 + 7 Let p be (8/(-12))/((-4)/294). Let a = p + -43. Let r(x) = -x + 0*x + a*x - 4*x. Let t(u) = -u. What is t(r(d))? -d Let f(h) = 4420*h. Let q(o) = 51*o**2 - 202. Calculate q(f(j)). 996356400*j**2 - 202 Let x(z) be the second derivative of -2*z**3/3 - 318*z. Let b(k) = 6*k. Let d(h) = -h. Let v(c) = 2*b(c) + 15*d(c). Give x(v(a)). 12*a Suppose 3*y = 5*b + 11, -2*y - 4*b = -y + 2. Let v(i) = 14*i - 6*i + i**y - 8*i. Let h(f) = 3*f + 14. What is h(v(x))? 3*x**2 + 14 Let r(y) = 168*y**2 - 2*y. Let i(d) be the second derivative of 2 + 0*d**2 + 31*d + 0*d**3 + 1/12*d**4. Give i(r(t)). 28224*t**4 - 672*t**3 + 4*t**2 Let i(n) = 6*n. Let q(h) = 2000584*h**2. What is i(q(t))? 12003504*t**2 Let d(b) = 767*b**2 + 117*b + 78. Let s(o) = -2*o**2 + 3*o + 2. Let q(g) = d(g) - 39*s(g). Let i(c) = 3*c**2. What is i(q(h))? 2142075*h**4 Let m(c) = 23*c**2. Let x(t) be the second derivative of -11*t**4/4 - 991*t + 2. What is x(m(q))? -17457*q**4 Let h(z) = 8*z. Suppose 3*l - 47 - 7 = -3*g, l - 6 = 2*g. Let v(k) = -8*k + 22. Let c(u) = -22*u + 66. Let n(p) = l*v(p) - 5*c(p). Calculate n(h(f)). -16*f - 22 Let w(p) be the third derivative of -25*p**4/24 + 1109*p**2. Let t(g) = -10*g**2 + 7. Let a(n) = -5*n**2 + 4. Let b(o) = 7*a(o) - 4*t(o). Calculate b(w(h)). 3125*h**2 Let a(v) = v**2 - 8*v**2 + 5*v**2. Let l(f) be the third derivative of 0 + 0*f**3 + 2*f**2 + 0*f - 1/2*f**4. Give l(a(c)). 24*c**2 Let f(o) be the third derivative of 217*o**4/24 + o**3/6 - 63*o**2. Let g(k) = 14*k + 25*k - 40*k. Calculate f(g(m)). -217*m + 1 Let a(h) = -12*h**2 - 18*h + 36. Let m(u) = -u**2 - u + 1. Let k(x) = a(x) - 18*m(x). Let l(n) be the first derivative of k(n). Let r(i) = -4*i. Give l(r(g)). -48*g Let k(z) = -46726*z**2 + 3. Let r(h) = 151*h**2. Determine k(r(t)). -1065399526*t**4 + 3 Let a(u) = 29*u. Let y(h) = -15*h. Let b(q) = 6*a(q) + 11*y(q). Let c(d) = d - 17. Let r(g) = 2*g**2 - 2*g + 34. Let l(j) = -2*c(j) - r(j). Determine l(b(t)). -162*t**2 Let r(s) be the first derivative of 11*s**5/60 - 39*s**2 + 158. Let f(c) be the second derivative of r(c). Let o(b) = 15*b**2. Give f(o(q)). 2475*q**4 Let m(r) = 3*r - 2053. Let u(i) = -3554*i. Determine u(m(c)). -10662*c + 7296362 Let q(l) = -l**2. Let j(a) be the first derivative of -121/3*a**3 + 0*a**2 + 0*a - 32. Calculate q(j(o)). -14641*o**4 Let o(x) = -3*x - 3. Let z(k) = 11*k + 7. Let r be z(-1). Let b be o(r). Let d(p) = 5*p + b*p - 15*p. Let a(v) = -5*v. Calculate a(d(s)). 5*s Let w(g) be the second derivative of 25*g**4/24 - 55*g**2 - 2*g - 30. Let h(i) be the first derivative of w(i). Let p(x) = -3*x. What is h(p(o))? -75*o Let p(s) = 4*s - 2. Let f(a) = 25 + 23*a**2 - 83 + 27 + 31. Give f(p(h)). 368*h**2 - 368*h + 92 Let u = -283 - -289. Let r(k) = -u*k + 2*k - 16*k - 18*k. Let m(q) = q**2 + q - 1. Let x(a) = -a + 1. Let b(p) = m(p) + x(p). What is b(r(n))? 1444*n**2 Let f(y) = -136175*y. Let u(x) = -x - 133. Calculate f(u(a)). 136175*a + 18111275 Let j(p) = -2*p**2 + 399*p + 4642. Let o(f) = 52*f + 1. Calculate o(j(k)). -104*k**2 + 20748*k + 241385 Let h(a) = -3*a**2. Let c(o) = -o**2 - 7*o + 1. Let j(l) = 4*l**2 + 429*l - 2. Let d(w) = -2*c(w) - j(w). Calculate d(h(f)). -18*f**4 + 1245*f**2 Let m(y) = 56*y**2 - 37. Let w(o) = -66910*o**2 + 66911*o**2 + o - o. What is m(w(i))? 56*i**4 - 37 Let m(u) be the third derivative of -17*u**5/30 + 2296*u**2. Let b(t) = -68*t. Calculate m(b(z)). -157216*z**2 Let r(a) = -1606*a**2 - 207*a. Let f(j) = 4*j**2. Determine r(f(n)). -25696*n**4 - 828*n**2 Let v(s) = -10*s. Let r(u) = 6*u. Let z be (16/10 + -2)/((-186)/465). Let i(o) = o + 0 + 0. Let t(b) = z*r(b) - 4*i(b). Determine t(v(p)). -20*p Let a(i) be the third derivative of -i**5/12 + 1039*i**2. Let h(w) = 136*w**2. What is a(h(y))? -92480*y**4 Let h(u) = 12956*u. Let x(j) = -2*j**2 - 57*j. Calculate x(h(v)). -335715872*v**2 - 738492*v Let o(z) = -z**2 + 49845. Let h(t) = -39*t**2. What is o(h(w))? -1521*w**4 + 49845 Let w(o) = -4*o**2. Let g be ((112/(-98))/((-2)/14))/((-4)/(-8)). Let s(n) be the second derivative of -g*n + 0*n**2 + 0 + 1/3*n**4 + 0*n**3. Calculate s(w(i)). 64*i**4 Let h(i) = -3*i + 14818. Let l(t) = 117*t. Give h(l(a)). -351*a + 14818 Let o(y) be the second derivative of 7*y**4/12 - 14*y. Let r(f) = 39*f**2 + 8. Let z(j) = -77*j**2 - 18. Let i(x) = -9*r(x) - 4*z(x). Determine i(o(k)). -2107*k**4 Let g(o) = 8*o. Let n(f) = -553*f**2 + 70*f + 7. Let l(j) = -185*j**2 + 20*j + 2. Let r(x) = 7*l(x) - 2*n(x). Give r(g(c)). -12096*c**2 Suppose 61*m = 56*m + 25. Let l(u) = 0*u**2 + m*u**2 - 10*u**2 + 6*u**2 + 8*u. Let f(g) = -2*g**2. Calculate l(f(v)). 4*v**4 - 16*v**2 Let w(b) = 3*b. Let f(p) = 1250*p**2 + 6*p - 256. Give w(f(a)). 3750*a**2 + 18*a - 768 Suppose -4*p + 135 = 63. Let w(u) = -13*u - 5*u - 11*u + p*u. Let y(a) = 8*a**2. Give w(y(b)). -88*b**2 Let d(f) = -3*f. Let b(g) = -30390763*g**2. Calculate b(d(u)). -273516867*u**2 Let n(u) = 3*u**2 - 101480*u + 50742*u + 50738*u. Let y(r) = -3*r**2 - 107*r. Determine y(n(s)). -27*s**4 - 321*s**2 Let h(y) = 3783*y - 7502*y + 3726*y. Let c(p) = -p**2 + p**2 + 3*p**2. Give h(c(n)). 21*n**2 Let u(s) = -41*s - 27. Let d(y) be the third derivative of y**5/60 + 2*y**2 + 724*y. Give d(u(x)). 1681*x**2 + 2214*x + 729 Let l(a) = 101*a**2 - 2. Let g(j) = -43688*j. What is l(g(r))? 192772775744*r**2 - 2 Let o(y) = -33*y**2. Suppose 5*u + 3 = 2*w, -5*u = 3*w - u + 53. Let t = w + 36. Let v(c) = -23 + 48 + 2*c - t. What is v(o(r))? -66*r**2 Let l(t) = -14*t**2. Let g(n) be the second derivative of 0*n**3 + 1/6*n**4 + 64*n + 0*n**2 + 0. Determine l(g(z)). -56*z**4 Let v(z) = -17*z. Let s be 6/9 + 28/21. Suppose 9*j - 6*j - 219 = 0. Let o(x) = 0*x**s - j - 3*x**2 + 73. Give v(o(n)). 51*n**2 Let d(t) = 11*t**2. Let a(f) = f - 403604. Determine a(d(z)). 11*z**2 - 403604 Let r(w) = -5*w**2 - 2*w. Let j be (-39 + 0)*(-3)/9*29. Let y(d) = -381*d**2 + j*d**2 - 4*d + 3*d. Let a(s) = 3*r(s) - 4*y(s). Let t(g) = g. What is t(a(z))? z**2 - 2*z Let w(y) = -14*y**2 - 24*y + 24. Let c(x) = -16*x**2 - 27*x + 27. Let u(n) = 8*c(n) - 9*w(n). Let k(h) = 7977*h. Give u(k(t)). -127265058*t**2 Let p(a) = -2*a**2. Let x(r) = -657*r + 78. Let c(g) = 1313*g - 169. Let h(d) = 6*c(d) + 13*x(d). What is h(p(n))? 1326*n**2 Let q be (147/(-392))/((-18)/16 + 1). Let c(n) = -117600 + 117600 - q*n. Let p(h) = -4*h**2 - 10*h. Give c(p(k)). 12*k**2 + 30*k Let f(l) = 24*l - 383. Let y(k) = -280*k - 7. Determine y(f(g)). -6720*g + 107233 Let j(d) = -5*d**2 + 4*d + 12. Let c(y) = 6*y + 1313. Determine c(j(h)). -30*h**2 + 24*h + 1385 Let t(s) = 21*s. Let i(b) = -53*b**2 - 1053. Determine i(t(w)). -23373*w**2 - 1053 Let q(u) = -7*u**2 + 12*u - 2. Let n(y) = 22*y**2 - 42*y + 6. Let l(f) = 2*n(f) + 7*q(f). Let a(x) = -x. Calculate a(l(g)). 5*g**2 + 2 Let s(x) be the first derivative of -7*x**3 + 865. Let f(c) be the first derivative of 0*c**2 + 1/3*c**3 + 4 + 0*c. Determine s(f(m)). -21*m**4 Let m(w) be the first derivative of -11*w**2/2 + 1742. Let d(f) = 22*f**2 + f. Calculate m(d(c)). -242*c**2 - 11*c Let c(j) be the second derivative of -j**4/12 - j. Let w(f) = 11*f + 1078. Let a(l) = 7*l + 674. Let s(g) = -8*a(g) + 5*w(g). What is c
{ "pile_set_name": "DM Mathematics" }
- 268*k**3 - 286*k**2 + 2*k. -240*k**3 - 1608 Find the second derivative of -3*c**4 + 14*c**2 - 698*c. -36*c**2 + 28 What is the second derivative of -195*x**3 + 19*x**2 - 6*x - 346 wrt x? -1170*x + 38 Find the third derivative of -126*q**6 - 33*q**2 + 12. -15120*q**3 Find the third derivative of 2659*s**4 - 13946*s**2. 63816*s Find the third derivative of 81*h**5*o**3 + h**5 - 22*h**2*o**2 - 6*h*o**2 + 2*o**3 wrt h. 4860*h**2*o**3 + 60*h**2 What is the third derivative of -2*q**5 + 63*q**4 + 114*q**2 wrt q? -120*q**2 + 1512*q Find the first derivative of k**2*w + 33*k*l**2*w**2 + k*l**2*w + 168*l**2*w - 2*l*w**2 wrt k. 2*k*w + 33*l**2*w**2 + l**2*w Find the first derivative of -5*d**3*z - 4*d**3 + 10*d**2*k**2*z - 15*d**2 + 3*d*k*z - k**2 wrt z. -5*d**3 + 10*d**2*k**2 + 3*d*k Differentiate -4590*f*w + 19112*f wrt w. -4590*f Find the first derivative of -249*j**2*z**3 - j*z**3 + 2*j*z - z**3 + 270*z wrt j. -498*j*z**3 - z**3 + 2*z What is the third derivative of -6*z**6 - 48*z**4 - 893*z**2 + z wrt z? -720*z**3 - 1152*z What is the second derivative of -1023*c**3 + 485*c wrt c? -6138*c What is the third derivative of 92*v**3 - v**2 - 14 wrt v? 552 What is the second derivative of -209*m**5 + 52*m**3 + 579*m - 1? -4180*m**3 + 312*m Find the first derivative of -7007*i**3 - 3072. -21021*i**2 Find the second derivative of -135*g**2*v - 79*g*v + g wrt g. -270*v Find the second derivative of -315*m**2 + 211*m. -630 What is the second derivative of -11964*r**2 + 32*r + 13 wrt r? -23928 Find the third derivative of 553*u**6 - 2*u**4 + 224*u**2. 66360*u**3 - 48*u What is the third derivative of -514*n**4 + 11*n**2 - 12 wrt n? -12336*n What is the second derivative of -2545*w**4 - 2100*w wrt w? -30540*w**2 Find the third derivative of 354*b**4*y**3 + 2*b**4*y + 130*b**2*y**3 + 4*b**2 + 3 wrt b. 8496*b*y**3 + 48*b*y What is the second derivative of 2050*n**2 - 1392*n wrt n? 4100 What is the first derivative of -130*o - 307? -130 What is the second derivative of -5*s**2*x**3 - s**2*x**2 + 2*s**2 + 14*s*x**3 - 78*s*x + 2*s wrt x? -30*s**2*x - 2*s**2 + 84*s*x Find the first derivative of b**3 + 6*b*l**3 - 240*l**3 wrt b. 3*b**2 + 6*l**3 What is the third derivative of 6548*x**3 - 17*x**2 + 107 wrt x? 39288 What is the second derivative of 10813*k**2 + 9900*k? 21626 Find the second derivative of 1052*i**2 + 444*i - 3. 2104 What is the third derivative of -42*f**4 - 2*f**3*z**2 + f**3*z + f**2*z - 5*z**2 - 17*z wrt f? -1008*f - 12*z**2 + 6*z What is the third derivative of 36*k**6 + 42*k**4 + 730*k**2 - 16*k? 4320*k**3 + 1008*k Find the second derivative of -20*i*p - 1108*i*y**2 + 17*i*y - i + 2*p*y**2 + p - 4*y wrt y. -2216*i + 4*p What is the third derivative of -h**2*v**3 + 59*h**2 + 4*h*v**2 - 147*v**3 - v**2 wrt v? -6*h**2 - 882 What is the third derivative of 184*d**6 + 2*d**2 + 42? 22080*d**3 What is the second derivative of b*i**2 - 7*b*s**2 + 5*b*s + 501*i**2*s**2 - 2*i wrt i? 2*b + 1002*s**2 Find the third derivative of 140*p*s**2*x**3 - 6*p*s**2*x**2 - 2*p*s*x**3 + 2*p*s*x + 3*s**2*x**3 - 9*s**2*x**2 + 19*x**2 wrt x. 840*p*s**2 - 12*p*s + 18*s**2 What is the third derivative of 17*h**3*r**3 + 18*h**3*r + 7*h**3 - 2*h**2*r**2 - 2*h*r**3 wrt r? 102*h**3 - 12*h What is the second derivative of 6277*a**4 + 3737*a? 75324*a**2 Find the second derivative of 38*c**5 - 26*c**2 - 7211*c. 760*c**3 - 52 What is the second derivative of 2*d**2*i*k + d**2*i*q + 5*d**2*k*q - 2*d*i*k*q + 35*d*i*k - 2*d*k - 2*k*q - 3*q wrt d? 4*i*k + 2*i*q + 10*k*q What is the third derivative of -240*n**6 + 339*n**2 wrt n? -28800*n**3 Find the second derivative of -90*c**3*n**2 + 263*c**3*n + 3*c**3 - 2*c*n**2 - 2*c*n wrt n. -180*c**3 - 4*c Find the second derivative of -461*s**5 + 2*s**4*t + 145*s - 2*t wrt s. -9220*s**3 + 24*s**2*t Find the second derivative of 155*t**4 - 209*t wrt t. 1860*t**2 What is the third derivative of 2*r**2*s**5 + 5*r**2*s**3 - 15*r**2*s**2 + 6*r**2*s + 3*s**4 wrt s? 120*r**2*s**2 + 30*r**2 + 72*s What is the third derivative of 2*m**4*n - 2*m**4 - 6*m**3*n + 35*m**3 - 2*m**2*n - m**2 + 437*m wrt m? 48*m*n - 48*m - 36*n + 210 What is the derivative of 74*v**4 + 6*v**2 + 55? 296*v**3 + 12*v Differentiate -16*n**2*t**2 - 3*n**2 + 17*n*t**2 + 2*n + 6*t**2 + 17 wrt t. -32*n**2*t + 34*n*t + 12*t What is the first derivative of 16*f**3*p**2*x + 3*f**3*p + 3*f**2*p**3*x + 133*f*p**3 wrt x? 16*f**3*p**2 + 3*f**2*p**3 Differentiate -240*g + 122 wrt g. -240 Differentiate 2*c**3*p*q**2 - 2*c**3*q**3 - 42*c**3*q**2 + 2*p*q**3 + 12*p*q with respect to p. 2*c**3*q**2 + 2*q**3 + 12*q What is the third derivative of 67*k**4*x**2 - k**4*x - 2*k**3*x**2 - 117*k**2 + 2*x**2 wrt k? 1608*k*x**2 - 24*k*x - 12*x**2 Differentiate -302*g**3*s**2 - g**3*s - 63*s**2 + 2*s wrt g. -906*g**2*s**2 - 3*g**2*s What is the third derivative of -2*i**5 + 2*i**4 - 77*i**3*r + 12*i**2*r + 5*i**2 wrt i? -120*i**2 + 48*i - 462*r Find the second derivative of -983*a**3*h**4 + 355*a**3*h - 4*a**3 + 2*h**5 wrt h. -11796*a**3*h**2 + 40*h**3 Find the third derivative of -12771*h**4 + h**2 - 122 wrt h. -306504*h What is the derivative of 485*m + 271? 485 What is the third derivative of -626*o**3 + 14*o**2 - 9*o wrt o? -3756 What is the third derivative of -365*n**4 - 94*n**2 + 2*n wrt n? -8760*n What is the second derivative of 22*c**4 + 2*c**2 - 6*c - 13? 264*c**2 + 4 Differentiate -1671*l**4 - 4159 wrt l. -6684*l**3 Find the second derivative of -40*f**3 - 266*f - 4 wrt f. -240*f Find the second derivative of -f**2*t*y**3 + 8*f**2 - 32*f*t*y**3 - t*y + 2*y**3 wrt f. -2*t*y**3 + 16 What is the third derivative of 6169*w**4 + 4621*w**2 wrt w? 148056*w What is the derivative of j*l**3 + 12*j*n - 18*l**3*n + l**2*m - 4*m*n wrt l? 3*j*l**2 - 54*l**2*n + 2*l*m What is the second derivative of 4*b**2*n**3*t + 36*b**2*n**3 - 2*b**2*n**2*t - 20*b*n**3 + 2*b*n*t + 2*b*n wrt b? 8*n**3*t + 72*n**3 - 4*n**2*t Find the third derivative of -5490*h**2*r**3 - 8*h**2*r**2 - 2*h**2*r - 16*h**2 - 23*r**2 wrt r. -32940*h**2 Find the third derivative of -v**5 + 81*v**3 - 2*v**2 + 41*v wrt v. -60*v**2 + 486 Find the second derivative of -6*n*w**3 - 2*n - 14*w**3 + w**2 - 328*w wrt w. -36*n*w - 84*w + 2 What is the third derivative of 72*o**6*p - o**4 - o**3*p + o**2*p - 253*o**2 - o*p wrt o? 8640*o**3*p - 24*o - 6*p Differentiate 828*o**3*q**2 + 390*o**3 + 3*o**2 + o*q**2 - 2*o wrt q. 1656*o**3*q + 2*o*q Find the second derivative of -h**2*j**2*p - 53*h**2*j**2 + 2*h*j**2*p - 2*h*j*p + 6*h + 4*j**2 wrt h. -2*j**2*p - 106*j**2 What is the third derivative of 182*t**4 + 3*t**3 - 237*t**2 wrt t? 4368*t + 18 What is the derivative of 20*i**4*q**2 - 30*i**3 + 157*q**2 + 1 wrt i? 80*i**3*q**2 - 90*i**2 What is the third derivative of -2*t**6 - 2*t**4*y - 12*t**3*y - 2*t**2*y + 2*t - y wrt t? -240*t**3 - 48*t*y - 72*y Find the first derivative of 419*i*o - 20*i - 2*o + 36 wrt o. 419*i - 2 What is the first derivative of -4508*i**2*j + 2*i**2*s - 2*j*s**2 + 110*s**2 wrt j? -4508*i**2 - 2*s**2 What is the third derivative of 796*w**6 + 2039*w**2 wrt w? 95520*w**3 Find the third derivative of -2*a**4 + 114*a**3 + 1786*a**2. -48*a + 684 Find the third derivative of -16*b**5 - 16*b**4 - 2*b**2 + 127*b wrt b. -960*b**2 - 384*b Find the first derivative of -2*j**2*p + 1250*j*p + 673*p wrt j. -4*j*p + 1250*p Differentiate 191*q**4 - 2*q**2 - 2090. 764*q**3 - 4*q Find the second derivative of z**4 - 19*z**3 - 2497*z. 12*z**2 - 114*z Find the second derivative of 13*i**4*q + 51*i**4 + 8*i**3*q + 11735*i*q wrt i. 156*i**2*q + 612*i**2 + 48*i*q What is the third derivative of -1647*u**3*z**2 - 2*u**2 - 26*u*z**2 - u*z wrt u? -9882*z**2 What is the third derivative of -7027*d**3*p - d**2 + 785*d*p wrt d? -42162*p Find the second derivative of 6*m**2*s**3*z**2 - 3*m**2*s*z**2 - m**2*s + m*s**2 + 5*m*z**2 + 2*s**3*z + 2*z**2 wrt m. 12*s**3*z**2 - 6*s*z**2 - 2*s What is the second derivative of 54*d**4 + 13*d**3 + 4401*d? 648*d**2 + 78*d Differentiate -2*u**4 + 69*u**3 + 729. -8*u**3 + 207*u**2 Differentiate -225*s + 383. -225 Differentiate -2*f**3*s**2 + f**3 - 10*f*s**3 - 6*s with respect to s. -4*f**3*s - 30*f*s**2 - 6 What is the third derivative of 197*f**6 + f**3*w - 82*f**2*w wrt f? 23640*f**3 + 6*w Find the second derivative o
{ "pile_set_name": "DM Mathematics" }
= -66*i + 16. Let d(v) be the first derivative of -11*v**2 + 5*v + 167. Give 5*a(u) - 16*d(u). 22*u Let p(n) = -290*n**2 - 83*n + 9. Let o(w) = -74*w**2 - 21*w + 2. Determine 9*o(x) - 2*p(x). -86*x**2 - 23*x Let z(f) = f**3 + 6*f**2 + 5*f + 9. Let o(t) = t**3 - 6*t**2 - 5*t - 12. What is -3*o(x) - 4*z(x)? -7*x**3 - 6*x**2 - 5*x Suppose 0 = x + 17 + 4. Let r(o) = -26 + 5 + 60*o**3 - 76*o**2 + 55*o**2. Let c(b) = -6*b**3 + 2*b**2 + 2. Calculate x*c(m) - 2*r(m). 6*m**3 Let z(s) = -5*s**3 + 4941*s + 9. Let o(p) = 4*p**3 - 3706*p - 7. What is -13*o(t) - 10*z(t)? -2*t**3 - 1232*t + 1 Let n(u) = -8*u**2 + 7*u + 4. Let v be -8 + (-2)/(-1 + 0). Let r = -310 - -492. Let x(t) = -r*t + 12*t**2 + 5*t**2 - 9 + 167*t. Calculate v*x(i) - 13*n(i). 2*i**2 - i + 2 Let u(b) = -22*b**2 - 7*b + 81. Let x(d) = -18*d**2 - 5*d + 76. Give 4*u(k) - 5*x(k). 2*k**2 - 3*k - 56 Let n(c) = 7*c**3 + 3*c**2 - 7. Let y(i) = -3*i**3 - i**2 + 3. Let j = 397 - 392. Suppose 4*v = j*q - 45, -2*v - 17 = -2*q + 5. Determine v*y(r) - 4*n(r). 2*r**3 - 2*r**2 - 2 Let f(u) = -15*u. Let z(b) = -29*b**3 + 7*b**2 - 8*b - 14. Let s(m) = -33*m**3 + 8*m**2 - 7*m - 16. Let a(d) = -7*s(d) + 8*z(d). Give -2*a(t) + 3*f(t). 2*t**3 - 15*t Let n be 3/(-12) + (0 - (184/32 + -4)). Let q(v) = -13*v**3 + 2*v - 1. Let a(w) = -14*w**3 + 2*w. Give n*a(g) + 3*q(g). -11*g**3 + 2*g - 3 Let a(i) = 42*i**3 + 3. Let m(j) = 2*j**3 + j**2 + j. Give -a(h) + 4*m(h). -34*h**3 + 4*h**2 + 4*h - 3 Let x(p) = 263*p - 5 + 260*p + 6 - 518*p - 19*p**3 + 4 - 5*p**2. Let w(z) = -18*z**3 - 4*z**2 + 4*z + 4. Determine -5*w(m) + 4*x(m). 14*m**3 Let t(i) = -13*i**2 + 4*i - 2. Suppose 0*n = -5*n + 30. Let m(s) be the third derivative of -7*s**5/60 + s**4/12 - s**3/6 + 3*s**2 + 268. Give n*t(a) - 11*m(a). -a**2 + 2*a - 1 Let s(q) = 2. Let h be ((-18)/12)/(1/2). Let y(c) = 7 - 3*c - 22 + 18 + 2*c. Give h*y(k) + 5*s(k). 3*k + 1 Let s = -862 - -859. Let o(f) = 1. Let i(c) = 29*c + 2. Calculate s*o(v) + i(v). 29*v - 1 Let b(u) be the third derivative of 17*u**5/60 - 13*u**4/24 - 5*u**3/2 + 448*u**2. Let x(l) = 8*l**2 - 6*l - 7. Give 4*b(i) - 9*x(i). -4*i**2 + 2*i + 3 Let g(n) = -57*n**3. Let s(w) = 170*w**3. Suppose j + 4*b + 19 = b, 2*j - 2 = 4*b. Calculate j*g(f) - 2*s(f). 59*f**3 Let t(k) be the first derivative of 1/2*k**2 - 1 + 0*k. Let o(i) = -2419*i + 7. Let d(n) = -1452*n + 4. Let w(b) = 5*d(b) - 3*o(b). Give 6*t(c) + w(c). 3*c - 1 Let t(i) = -30717*i**3 - 67*i**2 + 22. Let v(x) = 6143*x**3 + 12*x**2 - 4. Give 2*t(z) + 11*v(z). 6139*z**3 - 2*z**2 Let o(s) = 3*s**2 + s + 1. Let g be ((-6)/(-18))/((5 + -3 - 1)/(-3)). Let r(q) = -q**2. Calculate g*o(t) + 2*r(t). -5*t**2 - t - 1 Let x(w) = w**2 + 5*w + 1. Let d(v) = v**2 + 4*v + 1. Let z = -150 + 156. Suppose 0 = 6*c + 90 - 48. Calculate c*d(u) + z*x(u). -u**2 + 2*u - 1 Let g(z) = -z**2 - 1. Let a(r) = -24 + 12*r + 6 + 15 - 3*r**2 + 4*r**2 + 0. Let x be a(-12). Let m(w) = 14*w**2 + 2. Give x*g(y) - m(y). -11*y**2 + 1 Let c(m) be the first derivative of -m**2/2 + 3*m + 1. Let t(j) = -j - 1. Suppose 45*v - 163*v + 113 = -5. Calculate v*t(q) + c(q). -2*q + 2 Suppose -7*h + 180 = -h. Let m = h + -34. Let s(p) = 11*p**3 - 2*p**2 - 9*p. Let t(i) = 5*i**3 + 2*i**2 - 4*i + i**2 - 4*i**2. Give m*s(q) + 9*t(q). q**3 - q**2 Let n(z) = -z**3 + z**2 + z + 2. Let b(x) = -1267*x**3 + 3*x**2 + 3*x + 6. Determine 2*b(c) - 6*n(c). -2528*c**3 Let c(q) = 112 - 221 + 5*q**3 + 107. Let t(n) = -35*n**3 + 15. Let d(s) = -4*s**2 + 2. Let l be d(1). Let p = -1 - 14. Determine l*t(i) + p*c(i). -5*i**3 Let s(c) = 16*c**2 - 52*c + 104. Let f(u) = -u**2 - 2*u + 4. Let t(w) = 26*f(w) - s(w). Let x(g) = 1805*g**2. What is 171*t(r) + 4*x(r)? 38*r**2 Let d(i) = 2. Let r(k) = -4*k + 2. Let v(h) be the third derivative of -5*h**4/24 - 4*h**3/3 - 2*h**2 - 9. Let m(f) = r(f) - v(f). Calculate -11*d(t) + 2*m(t). 2*t - 2 Let k(y) = -6*y**2 - y. Let l(t) = -19*t**2 + 19*t. Let o(p) = -2*p**2 + 2*p. Let j(z) = l(z) - 9*o(z). Calculate j(v) - k(v). 5*v**2 + 2*v Suppose 3*q + 75 = 18*q. Let p(j) = 16*j**3. Let n(h) be the second derivative of 2*h**5 + 122*h. What is q*n(b) - 12*p(b)? 8*b**3 Let w(o) = -12*o**3 + 1. Let b(t) = -49*t**3 - 497*t**2 - t + 3. What is -b(n) + 4*w(n)? n**3 + 497*n**2 + n + 1 Let v = 15 + -16. Let c be (1 - v)*-2*(-5)/4. Suppose 0*h - h - c = 0. Let x(u) = -7*u**2 + 7*u - 5. Let f(q) = -6*q**2 + 6*q - 4. What is h*x(i) + 6*f(i)? -i**2 + i + 1 Let f(i) = 2*i**3 + 9*i**2 - 498. Let b(d) = -3*d**3 - 12*d**2 + 499. Give -3*b(m) - 4*f(m). m**3 + 495 Let f(w) = 24*w - 19. Let d(x) = -32*x + 21. What is -4*d(l) - 5*f(l)? 8*l + 11 Let j(t) = -t**3 + 5*t**2 - 37*t + 5. Let k = -5877 + 5882. Let i(n) = -2*n**2 + 19*n - 2. Give k*i(z) + 2*j(z). -2*z**3 + 21*z Let k(o) = -5*o**2 - 7*o - 1. Let j(y) = y**2. Suppose 64*h - 67*h = 4*f - 21, 0 = 3*f + 4*h - 14. Determine f*j(u) + k(u). u**2 - 7*u - 1 Let i(h) = 1272*h - 10. Let y(l) = 7*l - 1. What is 3*i(r) - 30*y(r)? 3606*r Let n(i) = 35*i**2 + 42*i + 42. Let f(z) = 232 - 226 - 5 + z + z**2. Calculate 210*f(m) - 5*n(m). 35*m**2 Let v(n) = -419*n - 5. Let g(q) = -416*q - 6. Calculate -3*g(a) + 4*v(a). -428*a - 2 Let q(u) = -u**2 + u. Let v be (-38)/(-8) + (-3)/(-12). Let r(d) = -6*d + 4*d + 5 + 0 + 4. Let c be r(v). Let h(t) = -t**2 + 2*t - 1. Calculate c*h(b) + 2*q(b). -b**2 + 1 Let t(b) = -254*b**2 + 13*b - 6. Let k(g) = -90*g**2 + 5*g - 2. Let z(f) = 17*k(f) - 6*t(f). Let h(d) = -5*d**2 + 6*d + 3. What is 5*h(l) - 4*z(l)? -l**2 + 2*l + 7 Let t(u) = 1. Let y(c) = -16 - 3*c + 17 + 4*c + 0*c. Let p(k) = -5*k - 4. Let b(s) = -p(s) - 2*y(s). Determine -b(q) + t(q). -3*q - 1 Let b(d) be the first derivative of -d**3 + 2*d**2 - 2*d + 7834. Let a(c) = 3*c**2 - 4*c + 2. Calculate -4*a(u) - 3*b(u). -3*u**2 + 4*u - 2 Let r(q) = q**3 - q**2 + 2*q. Let s(y) = -4*y**3 + 71*y**2 - 10*y - 7. What is 5*r(n) + s(n)? n**3 + 66*n**2 - 7 Let y(m) = -m**2 + m - 1. Let u(r) = 24*r**3 + 3*r**2 - 3*r + 3. Let d be ((-12)/(-10))/((-170)/850). What is d*y(f) - 2*u(f)? -48*f**3 Let z(u) = 5*u**2 + 3*u - 9*u**3 - 2*u**2 + 0*u - 3. Let y(f) = f**2 + f - 1. Let j(w) = -181*w - 24434. Let g be j(-135). Calculate g*z(r) - 3*y(r). -9*r**3 Let i(p) = 11*p**2 - 5*p. Suppose -7 - 1 = -4*w. Let a(b) = 26*b**2 - 49*b**2 + 33*b**w - b - 3*b. What is 5*a(y) - 4*i(y)? 6*y**2 Let g(n) = 109*n**3 - 11*n**2 - 103*n + 13. Let v(s) = -18*s**3 + 2*s**2 + 17*s - 2. What is -2*g(z) - 13*v(z)? 16*z**3 - 4*z**2 - 15*z Let v(q) = q + 11. Let p be v(-8). Let y(c) = -2*c - 3. Let w(s) = -3 - 715*s + 714*s + 1. What is p*w(x) - 2*y(x)? x Let i(l) = 1970*l**3 - 16*l - 4. Let j(x) = 993*x**3 - 9*x - 2. Determine -4*i(d) + 7*j(d). -929*d**3 + d + 2 Suppose -11*o - 88 = 0, r + o - 5 = -7. Suppose -2*j + t + 3*t = 6, 8 = 4*j - 3*t. Let z(m) = -4*m - 6. Let s(v) = 4*v + 5. Give j*z(d) + r*s(d). 4*d Let y(j) = 15*j**2 - j + 10. Let b(t) = 8*t**2 + 11. What is -3*b(n) + 2*y(n)? 6*n**2 - 2*n - 13 Let i(o) = -2*o**3 + 6*o**2 - 4*o - 2. Let b = -5764 + 5759. Let w(m) = 0 - 2*m**3 - 5 + 5*m**2 - 3*m + 0 + 3. What is b*i(r) + 6*w(r)? -2*r**3 + 2*r - 2 Let z(v) = -2*v**3 + 6*v**2 + 7*v. Let i(p) = -3*p**3 + 13*p**2 + 15*p. Let a = 3145 + -3151. Determine a*i(t) + 13*z(t). -8*t**3 + t Let a(o) = 4*o + 15. Suppose -386 = -i - 2*p - 364, 0 = -3*i - p + 26. Let l(v) = -v - 1. Determine i*l(r) + a(r). -2*r + 9 Let d(k) = -10*k**3 - 8*k**2 - 5*k + 6. Let i(a) = -3*a**3 - 3*a**2 - 2*a + 2. Let q(f) = f**3 - 37*f**2 + 337*f + 87. Let p be q(18). What is p*d(s) + 8*i(s)? 6*s**3 - s - 2 Let b(t) = 6*t**3 - 10*t - 7. Let h(x) = -3*x**3 + 5*x + 3. Let z(l) = -6*b(l) - 13*h(l). Let v(q) = q - 1. Let u = -680 - -679. Calculate u*z(n) - 3*v(n). -3*n**3 + 2*n Let l(p) = -p - 4. Let m(d) be the third derivative of d**4/24 + 2*d**3/3 + 14*d**2 - 3*d - 18. Determine 6*l(c) + 5*m(c). -c - 4 Let o(g) = -162*g**2 - 703*g - 6. Let l(h) = 62*h**2 + 234*h + 2. Determine -8*l(v) - 3*o(v). -10*v**2 + 237*v + 2 Let w(i) = -6*i + 5. Let j(h) = -h - 1. Suppose -5600*g + 5645*g - 225 = 0. Calculate g*j(u) - w(u). u - 10 Let s(t) = 3*t + 7*t - 19*t - 2. Let o(c) = 4*c + 1. Suppose -4*w = -54 - 18. Let h(j) = -j + 16. Let q be h(w). Calculate q*s(i) - 5*o(i). -2*i - 1 Let y(f) = 13*f + 33. Let z(h) = -26*h - 43. Give -7*y(d) - 3*z(d). -13*d - 102 Suppose 0 =
{ "pile_set_name": "DM Mathematics" }
mmon denominator of -77/11951322 and 34/17926983? 35853966 What is the common denominator of 83/870430 and -31/727996? 40039780 Calculate the least common multiple of 151095 and 591. 29765715 Find the common denominator of 7/2103735 and -29/6. 4207470 Find the common denominator of -47/6666 and -37/32997912. 362977032 Calculate the lowest common multiple of 7229970 and 143880. 28919880 What is the smallest common multiple of 5906424 and 5906424? 5906424 What is the least common multiple of 154161 and 4935? 36227835 What is the common denominator of 68/1625 and -31/1109875? 1109875 What is the common denominator of -83/255818 and 79/508084? 1756446388 What is the lowest common multiple of 6480 and 600372? 12007440 What is the common denominator of -61/34533206 and -19/34? 587064502 What is the least common multiple of 54563616 and 75024972? 600199776 Calculate the least common multiple of 4866 and 3330777. 6661554 Find the common denominator of -22/1233505 and 88/39585. 107314935 Calculate the least common multiple of 1570464 and 1722. 1570464 What is the least common multiple of 706095 and 214065? 47308365 What is the lowest common multiple of 10 and 27497116? 137485580 Find the common denominator of -61/35372 and 143/2351760. 87015120 What is the common denominator of 14/20544583 and -34/14309? 842327903 What is the smallest common multiple of 25320 and 2070? 1747080 What is the lowest common multiple of 331313 and 3553? 69244417 Calculate the smallest common multiple of 9575116 and 99224. 19150232 Calculate the least common multiple of 434896 and 8. 434896 Find the common denominator of -111/41344 and -33/65189152. 260756608 What is the least common multiple of 1328903 and 5195968? 1615946048 Calculate the common denominator of -145/752832 and -125/9252. 193477824 Find the common denominator of 47/58215 and -19/1080. 4191480 Calculate the lowest common multiple of 128 and 17382848. 34765696 What is the lowest common multiple of 84 and 354060? 354060 What is the least common multiple of 285 and 4692745? 267486465 What is the lowest common multiple of 955980 and 19210? 16251660 Calculate the smallest common multiple of 187 and 1213093. 226848391 Calculate the common denominator of -34/17874725 and -6/85. 303870325 Calculate the lowest common multiple of 254487 and 65313. 135132597 Find the common denominator of -181/2940 and -103/5229672. 26148360 Find the common denominator of -133/3720 and -1/772520. 2317560 Calculate the smallest common multiple of 52550 and 200. 210200 Calculate the smallest common multiple of 45670 and 15044. 343529740 What is the smallest common multiple of 14221542 and 75110? 497753970 Calculate the lowest common multiple of 1678510 and 3100. 520338100 What is the common denominator of -101/20798812 and -9/74? 769556044 What is the lowest common multiple of 101899 and 60673576? 424715032 Calculate the smallest common multiple of 244218 and 3978. 12455118 Calculate the smallest common multiple of 109950620 and 214120. 219901240 What is the common denominator of 107/432880 and 167/61901840? 61901840 Find the common denominator of -67/95340 and 99/9080. 190680 Find the common denominator of 53/264 and 113/1896774. 7587096 What is the least common multiple of 1344 and 52411104? 733755456 Calculate the lowest common multiple of 56 and 15152. 106064 What is the lowest common multiple of 10290 and 764547? 7645470 What is the smallest common multiple of 2591585 and 725? 12957925 What is the lowest common multiple of 5705793 and 2424? 45646344 Find the common denominator of -31/984732 and -97/3360. 39389280 Calculate the common denominator of -43/372988 and -179/13230. 50353380 Calculate the smallest common multiple of 492100 and 2072. 984200 Find the common denominator of -32/735 and 87/296450. 889350 Calculate the common denominator of 73/7550785 and -83/642620. 30203140 Calculate the common denominator of -93/56474 and -9/5154536. 56699896 What is the least common multiple of 9324 and 1932? 214452 What is the common denominator of -127/1320700 and 117/30244030? 302440300 What is the least common multiple of 9763200 and 2440800? 9763200 What is the smallest common multiple of 46 and 1527304? 35127992 Calculate the common denominator of 17/3113305 and 54/15145. 725400065 Calculate the least common multiple of 197915354 and 77. 2177068894 What is the lowest common multiple of 26083149 and 9? 78249447 Calculate the common denominator of -8/22101 and -70/921987. 48865311 Find the common denominator of -191/86250 and -34/11514375. 23028750 Find the common denominator of -55/35347 and -47/6199320. 80591160 What is the common denominator of -10/14559723 and 35/72738? 87358338 What is the least common multiple of 255110 and 85475? 16582150 What is the least common multiple of 6419258 and 6362? 6419258 What is the common denominator of 105/64512586 and -8/85? 322562930 Find the common denominator of -157/58656 and 25/8294936. 99539232 Calculate the common denominator of -33/1595017 and 19/2769790. 462554930 Calculate the common denominator of -85/142 and -97/8652. 614292 What is the smallest common multiple of 17510 and 1495354? 7476770 Calculate the smallest common multiple of 1993 and 447. 890871 Calculate the common denominator of -5/196 and -33/4283776. 4283776 Calculate the smallest common multiple of 16246995 and 5753. 178716945 What is the common denominator of -25/4288 and -173/360? 192960 What is the least common multiple of 4248 and 1967? 8355816 Calculate the least common multiple of 405180 and 144. 1620720 What is the smallest common multiple of 11181240 and 13608? 33543720 What is the common denominator of -109/3508102 and -17/131144? 14032408 What is the common denominator of -27/7287760 and 37/150? 109316400 What is the least common multiple of 3975166 and 1634? 3247710622 What is the least common multiple of 744708 and 4336? 2978832 What is the smallest common multiple of 1472 and 13564? 4991552 Find the common denominator of 7/2350832 and -61/42180. 35262480 What is the common denominator of -113/9700 and 13/140844? 3521100 What is the common denominator of -89/131188028 and 43/12770516? 1443068308 Calculate the common denominator of -71/19005 and -109/665175. 665175 Calculate the smallest common multiple of 53645124 and 438932. 1233837852 Calculate the common denominator of -5/135577326 and 115/7602. 949041282 Calculate the smallest common multiple of 19373449 and 5. 96867245 Calculate the common denominator of 47/7819262 and 55/3272. 31277048 Calculate the least common multiple of 1556252 and 9. 14006268 Calculate the lowest common multiple of 819420 and 87795. 2458260 What is the lowest common multiple of 22662 and 2520? 3172680 Calculate the common denominator of -121/4800 and 56/477. 763200 Calculate the common denominator of -43/3042431 and -46/399. 173418567 Find the common denominator of -149/142450 and -139/1023050. 11253550 What is the common denominator of -83/88704 and -73/3312? 2040192 Find the common denominator of 1/1918116 and 83/213124. 1918116 Find the common denominator of 15/8 and 47/8278806. 33115224 What is the common denominator of -103/5266928 and -21/128? 42135424 Calculate the lowest common multiple of 24697088 and 28960. 123485440 Calculate the common denominator of 3/136 and -23/8806272. 8806272 Calculate the least common multiple of 489275310 and 3955. 3424927170 Calculate the lowest common multiple of 15989197 and 1881082. 31978394 What is the least common multiple of 690 and 145015? 870090 Calculate the common denominator of 41/8818911 and 19/744. 70551288 What is the common denominator of -79/14352360 and 179/7828560? 86114160 What is the common denominator of -109/55918236 and -23/6777968? 223672944 Calculate the lowest common multiple of 5489 and 10895665. 10895665 What is the smallest common multiple of 900 and 565020? 2825100 What is the smallest common multiple of 30516318 and 120186? 335679498 Calculate the common denominator of -131/50963202 and -35/6. 50963202 Calculate the common denominator of -155/168836934 and 71/84. 337673868 What is the smallest common multiple of 17012877 and 33? 187141647 Calculate the common denominator of 133/2538 and -5/597464. 16131528 What is th
{ "pile_set_name": "DM Mathematics" }
*u**3 + 13 + 7 - 8904*u**3 + 25*u**2 in the form h*u + b*u**2 + n*u**3 + q and give b. 25 Rearrange -5*x - 18 + 9 + 3*x + 1 - 2*x + 3 - 3 + (3*x - 4*x + 3*x)*(2 - 1 + 1) + 1 - 1 - x - 59*x - 48*x + 79*x to the form t*x + r and give r. -8 Express -5692*r**2 + r + 11*r - 18*r + 6*r as b*r**2 + o*r + t and give b. -5692 Rearrange (11*r + 20*r - 61*r)*(23 + 24 + 44) to d + o*r and give o. -2730 Rearrange 1 - 5 + 8974*x**2 - 8896*x**2 - 12 to l*x + y + n*x**2 and give n. 78 Rearrange 49972 - 83*q + 81*q - 51032 + 6*q**3 to f + o*q**2 + v*q + r*q**3 and give f. -1060 Express u - 4 + 17 - 14*u + 16*u - 12*u as w + p*u and give w. 13 Express 3423*h - 2 + 6 - 4 in the form r*h + d and give r. 3423 Express (5*p - p - p)*(0 + 3 - 2)*(-4 + 4 - 2)*(539 - 481 + 960 + 537) as b*p + l and give l. 0 Rearrange (-2 + 2 - 2)*(2 + 3 - 3)*(0*u + u + u + (-1 + 1 - u)*(-1 + 3 - 3) - 6*u + 2*u + 5*u - 30 - 77*u + 96*u + 42) to j*u + x and give j. -92 Express 598*o**3 + 28 + o**4 - 355*o**3 - 2*o**4 + 24*o**2 - 357*o**3 - 26*o**2 in the form b*o**2 + q*o + h + d*o**3 + z*o**4 and give z. -1 Express -1207584 + 4416*z + 1207584 in the form p*z + c and give p. 4416 Rearrange 44*x - 3888*x**2 + 7850*x**2 - 3814*x**2 to s + f*x + y*x**2 and give s. 0 Rearrange (-2 + 4 + 24)*(-31*r**3 - 18*r**3 - 55*r**3) to o*r**3 + p + b*r**2 + s*r and give o. -2704 Express 2322*p - 19481 + 19481 in the form s*p + b and give s. 2322 Express 2*j**4 + 5*j + 3*j**2 - 23*j + 65 - 62 + j**2 in the form c*j**2 + p*j**3 + o + m*j**4 + v*j and give v. -18 Rearrange 20*f**2 - 35*f**2 - f + 24*f**4 + 21*f**2 + 2*f**3 + 12*f**4 + 1 + 2*f**4 to g*f**2 + h*f + y + m*f**4 + u*f**3 and give g. 6 Express (f + 0 + 0)*(-941*f**3 + 944*f**3 + 199 + 28*f**2 - 200) in the form n*f**3 + v + c*f + q*f**2 + s*f**4 and give n. 28 Rearrange -11*d + d - 20*d**2 + 7*d**3 + 2*d**3 + 9*d**3 - 14*d**3 - 1 to p*d**3 + i + o*d**2 + s*d and give o. -20 Express 9790 - 38*x - 19568 + 9790 as w*x + s and give s. 12 Express (0*x - 6*x + 4*x - 2)*(-613*x + 527*x + 4167*x) in the form w*x**2 + a*x + j and give j. 0 Express (-10 - 10*c + 10)*((-3 + 2 + 4)*(-c - 3*c + 3*c) + 6*c - 4*c - c) + 2 - 2 - 2*c**2 + 22*c**2 + 3*c**2 + 2*c**2 in the form k + x*c + p*c**2 and give p. 45 Rearrange 3 - 11 + 2*y + 2 + 8 - 48*y**3 - 3 to n*y + u*y**2 + z*y**3 + r and give r. -1 Rearrange 1715*c - 252*c + 172*c + 3542*c to the form m*c + h and give m. 5177 Rearrange -3*g - 9*g**3 - 23*g**2 + 1 + 45*g**2 - 22*g**2 to the form b + k*g + a*g**2 + z*g**3 and give b. 1 Express -t - 21904*t**2 - 9*t**4 + 3 - 17*t + 11*t**4 + 21917*t**2 as u + o*t**3 + b*t**4 + l*t + w*t**2 and give w. 13 Rearrange 4*p - 22 + 2*p - 2*p**2 + 47 to k*p + a*p**2 + i and give k. 6 Rearrange -23*q**3 + 22*q**3 - 348 + 5*q - 343 + 677 + 9*q**2 to the form s + d*q**2 + u*q**3 + h*q and give h. 5 Rearrange 1742*b**2 - 866*b**2 - 874*b**2 + 1 - 13*b**3 - 3*b to i*b**2 + y*b**3 + x + j*b and give j. -3 Express (-3*j**2 - 5854*j + 416 + 5854*j)*(0 + 5 - 3) in the form g*j + v + b*j**2 and give b. -6 Rearrange 2*m**3 + 85*m**2 + m + 6*m**4 - 14*m**4 - 83*m**2 - 24 to x*m**3 + c*m**4 + t + k*m + f*m**2 and give t. -24 Express -o**3 - 2246*o - o**3 - o**2 + o**2 + 2247*o - 455 - o**2 in the form j*o + c*o**3 + m + u*o**2 and give j. 1 Rearrange 14831*i - 5072*i + 7870*i to k + j*i and give j. 17629 Rearrange -149*j**2 + 23*j**3 - 47*j**3 + 13*j**3 + 92 - j**4 - 94 to the form b*j**2 + g*j + s + v*j**4 + d*j**3 and give s. -2 Rearrange (2*i - 4*i - i + (-2 + 0 + 0)*(3*i - 2*i + 0*i))*(-5233 - 900 - 307 - 925 - 170) to s*i + r and give s. 37675 Express (-370 + 174 + 190)*(3*b**2 - 6*b**2 + 4*b**2) as m*b**2 + q*b + j and give q. 0 Rearrange (-150*g - 168*g + 298*g)*(0*g**2 + 2*g**2 - g**2)*(13 - 3 - 12) to the form k*g**3 + y*g**2 + a + l*g and give k. 40 Express (-2*v**2 + v**3 + 2*v**2)*(-9210 + 17936 - 10794) as t*v**3 + x*v + j*v**2 + y and give t. -2068 Express 7988*w**2 - 179*w + 365*w - 186*w + 8360*w**2 in the form b*w**2 + d*w + m and give b. 16348 Express (-733989 + 366229 + 366711)*(-3 + 2*a**3 + 3) in the form m*a + t*a**2 + v*a**3 + i and give v. -2098 Express -2*m**2 - 4*m**4 - 56*m + 30*m + m**3 - 2 + 28*m + 22*m as l*m**3 + r*m + n + t*m**2 + s*m**4 and give l. 1 Express -28*b**4 + 2 + 3*b + 6*b**3 - 93*b**4 - 31*b**4 + 154*b**4 + 68*b**2 in the form d*b + o*b**4 + n*b**3 + r + t*b**2 and give t. 68 Rearrange -86 + 170 - 767*l - 84 - 4*l + 8 - 8 + (-2 - 1 + 4)*(-4*l + 3*l - l) - 7*l + 3*l - l to the form r + m*l and give m. -778 Rearrange ((-2*m - m + 5*m)*(-2 - 2 + 2) + 0*m + 3*m - m - 106*m - 5 + 13 - 9)*(5*m**3 - 11*m**3 - 8*m**3) to i*m**4 + p*m**3 + b + t*m + z*m**2 and give i. 1512 Rearrange -115*b + 1169*b - 32 + 31 + 2 - 2 + 3*b + (5 + 2*b - 5)*(0 + 5 - 4) to l + a*b and give a. 1059 Rearrange 0 - 10 + 953*z**2 + 5 + 3 to the form k + y*z + o*z**2 and give k. -2 Rearrange -14728*s**2 - 36*s - 14220*s**2 + 36*s to m*s + g + f*s**2 and give f. -28948 Express (12*l**2 - 4*l**2 - l**2)*(-130*l**2 + 4*l**2 - 290*l**2 - 494*l**2) as i*l**3 + j*l + c + d*l**4 + v*l**2 and give d. -6370 Express (2 + 0 - 1)*(-d - 2*d + 2*d) - d - 2 + 2 + 31521*d - 2107*d + 33028*d as q*d + i and give q. 62440 Rearrange -4*f + 141*f**2 + 212*f**2 + 1301*f**2 + 82*f**2 to w + m*f + a*f**2 and give a. 1736 Express 6 - 2*a**2 - 8*a**4 - 2*a**3 + 129*a - 131*a - 5*a**3 + 8*a**3 as g*a**4 + d*a**2 + b*a + t*a**3 + v and give d. -2 Express 13*q - 67*q - 103*q - 62 + 61 as d*q + o and give d. -157 Express q**2 - 2*q**3 + 4433*q - 2226*q - 2211*q + 1 as v + x*q**3 + d*q**2 + b*q and give b. -4 Rearrange (4*u**2 - 4*u**2 - 2*u**2)*(u + 4 - 4) - 1586*u**3 - 7*u + 282*u**3 - 1085*u**3 to the form t*u**2 + p + n*u**3 + d*u and give p. 0 Rearrange (181*x - 895*x - 1010*x)*(-3 - 1 + 3)*(-1 + 0 - 3) to the form g*x + d and give g. -6896 Rearrange (3 + 19 - 37)*(6*r + 3*r - 26*r) to the form l + u*r and give u. 255 Express (-3*u + 3*u + 2*u)*(-70060 - 121*u + 3*u**2 + 140039 - 70026) as f*u**3 + b*u + g*u**2 + h and give g. -242 Express -671 - 12448*q**2 - 239 - 3*q**3 + q**3 + 12445*q**2 + 232 as a*q + r + m*q**3 + g*q**2 and give g. -3 Express 4 - 22*n + 2*n**4 + 6*n**2 - 61*n**3 + 0 - 2 + 19*n - 5*n**2 in the form c*n**4 + a + d*n + w*n**3 + q*n**2 and give d. -3 Express -24*m**2 + 97*m**2 - 29*m**2 - 3136*m - 21*m**2 - 22*m**2 as p*m + t*m**2 + i and give p. -3136 Express 6*h - 2*h**3 + 18*h**2 - 12*h**2 - 2 + h + 2*h**3 - h**3 as k*h**2 + t*h + s + r*h**3 and give t. 7 Express 17*w + 9*w - 180*w**2 + 5*w - 48*w + 19*w - 2 in the form v*w**2 + t + p*w and give p. 2 Express 100972 - 100970 + 11*y + 26*y + y**3 in the form p*y**2 + f*y + o*y**3 + q and give f. 37 Express 770*d + 908*d + 1505*d in the form c*d + n and give c. 3183 Rearrange (-1262*b + 241*b - 217*b)*(b**3 - b**3 - b**3) + 4*b**4 - 12*b**4 - 2*b**4 to the form n*b**4 + f*b**2 + g*b + m*b**3 + s and give n. 1228 Express (-3 + 1 + 1)*((2 + 20 - 5)*(200 + 43*j - 200) + (1 + 2 - 1)*(-4*j + 2*j + j) + 2*j - 5*j + 2*j + 3*j + 0*j - j) as a*j + n and give a. -730 Express -1226 + 1226 - 1645*b**2 + (-b**2 + 0*b**2 + 0*b**2)*(-1 + 5 - 1) as s*b + r + d*b**2 and give d. -1648 Express 9*j - 25*j - 2*j**2 + 122 + 2*j**4 - j**3 - 127 in the form u*j**3 + m*j**2 + a + v*j + x*j**4 and give u. -1 Express u**2 - 2 - 2*u - u - 24*u**3 + u**2 - 25*u**3 + 12*u**3 in the form l*u + d*u**3 + b + p*u**2 and give p. 2 Rearrange ((3 + 1 - 2)*(-3 + 2 + 3) - 3 + 1 + 1)*(-2497*m**3 + 6760*m**3 - 1720*m**3) to the form j + q*m**3 + c*m**2 + r*m and give c. 0 Express -8627*a + 8*a**4 - a**3 + 4306*a + 4311*a + 0 + 0 in the form l*a**4 + z*a + p*a**2 + q*a**3 + s and give q. -1 Express (7*b - 33*b - 38*b + (-2 + 6 + 1)*(1 - b - 1))*(-133*b - 3*b - 22*b) in the form g + n*b + q*b**2 and give q. 10902 Rearrange (527 - 527 + 109*h)*(-4*h + 4*h - h**2 + 14*h**2 - 17 + 17 + (6*h - h - 3*h)*(5*h - 5*h + h)) to i*h**3 + b*h + c*h**2 + r and give i. 1635 Rearrange -2*j**2 + j**2 + 67*j**4 + 3*j**3 + 678*j - 675*j + 0*j**2 + 1 + 0 to w*j + r*j**2 + k*j**3 + q*j**4 + i and give w. 3 Rearrange -9405983*b**2 - 2*b**4 + 9405990*b**2 - 149*b + b**4 to the form n*b**3 + u*b + c + d*b**4 + p*b**2 and give d. -1 Rearrange 6*z**4 - 8*z**4 + 212 + 6*z**4 - 91*z**3 - z**2 - 208 +
{ "pile_set_name": "DM Mathematics" }
20)/n)*-6. Solve 1 = 3*a - b for a. 1 Let d = -6 + 8. Let w(j) = j - 1. Let r be w(1). Suppose -2*b + 12 = b. Solve -d*k = -r*k - b for k. 2 Let s(q) be the third derivative of q**5/60 + 5*q**4/24 + q**3/2 - 5*q**2. Let i be s(-5). Solve 0 = -5*b + i + 2 for b. 1 Let i(u) be the second derivative of u**3/3 + u**2 + u. Let o be i(5). Solve -3*f + 0 = -o for f. 4 Let i(y) = y**3 + 8*y**2 - 2*y - 12. Let q be i(-8). Solve 0*j - q = -j for j. 4 Let m(q) = -2*q + 5. Let s be m(2). Solve n = 4 - s for n. 3 Let p = 12 + -6. Solve u = -2*u + p for u. 2 Let t(l) = -2*l**2 + 3*l + 5. Let n be t(0). Solve 0 = -r + n*r + 16 for r. -4 Suppose 0 = 2*q - 4. Let p(j) = j**2 - j - 2. Let a be p(3). Suppose 0 = x - a*x. Solve y + x*y + q = 0 for y. -2 Let q(a) = a**2 - 20*a - 44. Let d be q(22). Solve 2*l - 3*l + 1 = d for l. 1 Let o = 9 - 6. Solve -o*a + 2 + 1 = 0 for a. 1 Let q(d) = d**2 - d + 2. Let f be q(0). Suppose -8*l = -2*l. Solve l*i - 4 = f*i for i. -2 Suppose -2*c = -3*r - 33, -2 - 1 = r. Let v be (6/4)/(c/32). Solve 0 = -q - v + 7 for q. 3 Let n = -4 - -7. Let s = 3 - n. Suppose s = -3*m - 2*m + 30. Solve -3*j = -m*j + 6 for j. 2 Let a be 8/(-12) + 64/6. Suppose -q + 10 = -a. Let h(l) = 3*l + 21. Let c be h(-7). Solve -w - 4*w + q = c for w. 4 Let g(s) = 2*s**2 - 2*s + 1. Let o be g(2). Solve -q = -o*q - 20 for q. -5 Let o(c) = -c**3 + 3*c**2 - c - 2. Let m be o(2). Suppose m*b = 2*b. Suppose b = 5*j - 6 - 4. Solve j = k - 2 for k. 4 Let g = -4 - -7. Suppose -5*b + g*s - 17 + 5 = 0, -4 = b - s. Solve b = -2*l - 2 - 4 for l. -3 Let g = -15 + 19. Solve j = g - 5 for j. -1 Let k = -10 + -11. Let u = -17 - k. Solve 15 = -f + u*f for f. 5 Suppose 3*n + n - 4 = 0. Let t be -3 + 6 + 2 + 1. Let r = t + n. Solve 4*u = -r + 23 for u. 4 Let h(a) = a**3 + 2*a**2 - 5*a - 6. Let m be h(-3). Solve m = -2*b - 3 - 1 for b. -2 Let v(m) = -m**3 + 15*m**2 + 5. Let z be v(15). Solve z*c - 1 = 24 for c. 5 Let s = -148 + 151. Solve -4*a - 9 = s for a. -3 Suppose -6 = -a - 5. Solve k + a = 3 for k. 2 Suppose -3*z + z = 0. Suppose z = -i + 5*i - 8. Solve -3*l = i*l - 10 for l. 2 Let i be 416/12 - 2/(-6). Let s be (-14)/i*(-25 - 0). Suppose -y - 4*y = -s. Solve -4*d = -y*d for d. 0 Let i(p) be the first derivative of p**6/45 - p**4/24 + 4*p**3/3 - 2. Let m(h) be the third derivative of i(h). Let d be m(-1). Solve -d = -2*a + 3 for a. 5 Let z = -5 - -7. Suppose 48 + 94 = z*t. Suppose 0 = -f - 3*s - 0*s + 3, 0 = 5*f + s - t. Solve -3*a - f = -0*a for a. -5 Let v(x) = -x**3 - 2*x**2 - x - 3. Let n be v(-3). Suppose -2*l - o + n = 0, 3*l + o = -2*l + 27. Solve -3*m - l = -6*m for m. 2 Let y = -33 + 33. Solve y*j = -3*j + 3 for j. 1 Suppose -6*z + z + 10 = 0. Suppose -z*h = -6*h. Solve 3*l + h*l = 6 for l. 2 Let w(x) = x - 7. Let o be w(12). Solve -o*n + 0 = -5 for n. 1 Suppose -2*d + 10 - 4 = 0. Suppose -5*w - 22 = -d*s, 0 = 5*s - 2*s + 3. Let p = w - -7. Solve p*f - 3 = 3 for f. 3 Suppose -5*t + 4*t + 4 = -3*x, -t + 14 = 2*x. Let l(v) = v + 2. Let d be l(t). Solve -d - 13 = -5*b for b. 5 Let t(g) = g**3 - 23*g**2 + 42*g + 4. Let v be t(21). Solve -5 = v*p - 3*p for p. -5 Let h be (2/4)/((-2)/(-32)). Solve 3*a - 23 + h = 0 for a. 5 Suppose -5*g - 3*n + 12 = 0, -5*g + 2*n + 11 = -2*g. Suppose -5*p = 3*x - 2*x - 36, p + 2*x - 9 = 0. Solve -g*u = 2 + p for u. -3 Let f be 1*(-9)/3 - -12. Suppose 0*y + y - f = -4*x, -4*y = 4*x - 12. Solve 7 = 3*l + y for l. 2 Let t(m) = -m - 1. Let f be t(-1). Suppose 3*c = -0*h - 3*h + 6, -4*h = 5*c - 13. Let u = 0 - h. Solve f = b - u - 2 for b. 5 Let d = -70 + 75. Solve -d*f + 3*f = 4 for f. -2 Suppose -3*y - 2*q + 59 = 0, -3*y + 2*q + 16 = -27. Suppose -2*g = g - 2*b - 21, 5*b = -15. Solve -8 - y = g*w for w. -5 Let c(f) = -f**3 + 4*f**2 - 4. Let g be c(3). Solve 4*t + t = g for t. 1 Suppose 4*o = o + 60. Suppose 4*b = 2*a - 6 + 22, -5*b - a = -o. Suppose -3*c + 12 = -0*c. Solve b = c*p - 4 for p. 2 Let a(y) = y - 7. Let z be a(9). Solve -3*b - 10 = z*b for b. -2 Let o be ((-575)/92)/((-2)/8). Solve 0*k - 5*k = -o for k. 5 Let h(n) = n - 1. Let y be h(2). Suppose 2*a + 3*a - 790 = 0. Let r be a/22 + (-2)/11. Solve y = -2*s - r for s. -4 Suppose 0 = 5*k - 5*v - 22 - 8, -4*v - 12 = 2*k. Suppose 16*a = 21*a. Solve 0 = -h - a + k for h. 2 Let n(z) = z**3 - 6*z**2 + 3. Let d be n(6). Let p be (d - 1)/(-4 + 6). Solve -2*m = -p + 5 for m. -2 Suppose -2*d + 2*c + 0*c = -2, -4 = -2*d + 4*c. Let x = -102 + 105. Solve 0*p - x*p - 6 = d for p. -2 Let h(n) = -n**3 - 7*n**2 - 7*n - 1. Let j be h(-6). Let z = 0 + 0. Let y be (z/(12/(-4)))/(-1). Solve j = -y*u + u for u. 5 Suppose -4*r - 1 + 5 = 0. Let f(g) = g**3 + 6*g**2 - 7*g + 2. Let w be f(-7). Solve -r = -a + w for a. 3 Suppose -d + 5*d + 2*s - 20 = 0, 5*s = -5*d + 30. Let j = 34 - 18. Suppose j + 44 = 4*u. Solve v + u = d*v for v. 5 Suppose -13 = 3*g - 19. Solve -6 = 2*y - g for y. -2 Suppose 3 = 2*w - t, -2*w + 3*w + 4*t = 15. Let p = -11 - -23. Suppose y + w*y = p. Solve -7*a + y*a = -16 for a. 4 Let i be (6/9)/((-2)/72). Let d = i - -34. Suppose 0 = -3*w - 2*w + d. Solve 4 = -w*z + z for z. -4 Suppose -4*j + 12 = -0*j. Suppose 2*q + 5 = j*q. Solve 4*d + 3 = -q for d. -2 Let a(m) = m**2 + 17*m - 9. Suppose -69 + 15 = 3*l + g, -2*l + 2*g = 36. Let j be a(l). Suppose i + 1 = 6. Solve j - 4 = -i*q for q. -1 Let l be -12*1/2*-1. Suppose 0 = -9*a + l*a - 6. Let j(h) = -2*h - 1. Let g be j(a). Solve 0 = -g*k + 15 - 3 for k. 4 Suppose 0 = 6*t - 10*t - 40. Let y = 12 + t. Solve -w - 3 = -y for w. -1 Suppose 3*i + 3 = 12. Suppose -12 = -3*z - 4*a + 8, -5*z - i*a = -26. Let h = -2 + z. Solve h*x - 3*x = 3 for x. -3 Let f = -9 + 11. Solve f*k = 16 - 6 for k. 5 Let f = -2 + 1. Suppose a - 60 = 4*z, -4*a = z - 6*a + 15. Let h be ((-8)/(-10))/(f/z). Solve c + 3*c = h for c. 3 Let k = 0 - 0. Solve k = -0*o + o - 2 for o. 2 Let m(b) = -b**2 - 4*b + 7. Let h be m(-5). Suppose 0*a - h*a = 0. Suppose -4*v = v. Solve -3*r + v + 9 = a for r. 3 Let a = 12 - 7. Let b be (a/15)/((-1)/(-9)). Suppose 0 = -4*m + 1 + b. Solve -c + m = 2 for c. -1 Let o be 3*(2 - (-3)/(-3)). Suppose -4*j + 3*c = j - 63, -4*j + 51 = -o*c. Solve 0 = -3*s - s - j for s. -3 Let f(o) = 8*o - 15. Let j(r) = -7*r + 14. Let z(q) = -6*f(q) - 7*j(q). Let b be z(6). Let s be (-1*1)/(b/6). Solve u + s = 2*u for u. 3 Let j be (-6)/(-9) - 40/(-36)*3. Solve -j*l - 8 = 4 for l. -3 Suppose 0 = 2*w - 2*o + 6, -5*w + 0*o - 2*o + 6 = 0. Solve -3*h = -w - 9 for h. 3 Let u(d) = 6*d**2 + 2*d + 1. Let f be u(-1). Let o = 11 - f. Solve 9 = -3*s + o*s for s. 3 Suppose -7 + 15 = 4*b. Suppose 2*v = -b*v. Solve v = -a - a for a. 0 Let r = 12 + -15. Let d be (r/(-5))/((-2)/(-10)). Solve 5 = -d*m - 10 for m. -5 Suppose 3*p + 1 = -4*r, -4*p - 4 - 6 = r. Solve -j + 2 = -r for j. 4 Suppose 2*s + 0*f + 4 = 2*f, 0 = -s + 5*f + 14. Let j be (-52)/6 - (-6)/9. Let n = s - j. Solve 0 = -n*b + 1 + 1 for b. 1 Let s be ((-117)/(-36))/((-2)/(-8)). Let i = 50 + -21. Solve -4*u - i = -s for u. -4 Let s = 4 - 6. Let i be 0 + (-6*1)/s. Let r = -5 - -7. Solve 0 = i*z - z - r for z. 1 Suppose -5*h = -3*h - 20. Solve 0 = 2*k + h for k. -5 Let x be 4/(-3)*3/(-2). Suppose -t - 2*i = -0*i, -i + 9 = x*t. Suppose -u = 2*u - t. Solve u*l + 3 = -7 for l. -5 Let l = -104 - -110. Solve 4*x + 6 = l*x for x. 3 Let r(c) = c**3 - 5*c**2 + c - 1. Let l be r(5). Let f be l/6 + (-16)/(-3). Solve 8*t = 5*t - f for t. -2 Suppose -2*a + 3*t - 65 = 0, 0 = 3*a + a + 4*t + 100. Let u = a - -30. Solve 0 = d + 3 + u for d. -5 Suppose 0 = -t + 4*t - 9. Let y be -26*((-3)/2)/t. Suppose 4*g = 4*v + 1 - 9, -y = -3*v - 4*g. Solve -2*w + v = 9 for w. -3 Let o(n) = 5*n**2 + 21*n. Let h be o(-5). Solve -3*m = m + h for m. -5 Suppose 2*z + 20 = 30. Solve -z*p + 6 - 1 = 0 for p. 1 Let z(x) = x**2 + 1. Suppose -4*p + 5*p - 2 = 0. Let q be z(p). Solve -q*j + 2*j = 15 for j. -5 Let h(q) = q. Let y be h(-1). Let b = -3 + 4. Let f = b - y. Solve 3*a = f*a for a. 0 Let s be (3 - 4) + (0 - -3). Suppose -s*k + 10 = -0. Solve -3 = l - k for l. 2 Let z be (-6 - -2)*(0 - 1). Suppose 2*g - z = 0, -3*m + 0*g - 3*g + 6 = 0. Solve m = t + 4*t + 20 for t. -4 Let m be ((-4)/6)/((-8)/36). Let h be 3/(-9) - (-37)/m. Solve 5*f = 2*f + h for f. 4 Suppose -l - 5*t + 29 = 0, -2*l + 4*t - 40 = -7*l. Solve l*y - 8 = 4 for y. 3 Suppose -l = -3, -5*l +
{ "pile_set_name": "DM Mathematics" }
e x(i)? False Let v = 68 + -65. Is (9/12)/(v + 286/(-96)) a multiple of 6? True Suppose -b - 2*b + 3*k = 30, 4*k + 23 = -5*b. Does 13 divide -6 - b - 64/(-1)? True Let l(k) be the second derivative of k**5/20 + 3*k**4/2 - k**3/2 - 9*k**2 + 2*k. Let z(n) = -n**3 - 13*n**2 + 30*n - 18. Let h be z(-15). Is 9 a factor of l(h)? True Let i = 47 + -32. Let x = 17 - i. Suppose 0 = 2*z - 4*h - 128, -3*z - x*z + 344 = -2*h. Is 13 a factor of z? False Let j = -396 - -731. Is j a multiple of 18? False Let i(k) = k**3 - 8*k**2 + 2*k + 4. Let q be i(5). Let u = q + 124. Suppose -2*s - u = -4*j + 3*s, 3*s - 15 = 0. Does 9 divide j? False Let f be 475/(-10) - ((-20)/(-8) - 3). Let j = f - -80. Is j a multiple of 3? True Suppose 5*k - 7*u - 10 = -2*u, -k - 4*u = 23. Let v(z) = z**2 + 10*z - 2. Let d be v(-10). Is 3 a factor of k - (-13 - d) - -3? False Let s(y) = 4*y**2 - 45*y - 124. Is 4 a factor of s(-3)? False Let p(m) = -m**2 + 4*m + 2. Let f be p(5). Let i(c) = 9*c**2 + 4*c - 6. Let z(v) = -10*v**2 - 4*v + 7. Let l(w) = 7*i(w) + 6*z(w). Is l(f) a multiple of 5? True Let q = 80 + -80. Suppose 0*b + b - 3*h = 112, -2*b - 3*h + 260 = q. Does 31 divide b? True Suppose 4*m - 2*c = -5*c + 5, 2*m = -2*c. Is 3/3*(m - 2) even? False Let a = 49 + -102. Let b = 98 + a. Does 15 divide b? True Let b be ((-1)/(-2))/((-8)/2528). Is (-10)/(-25) - b/5 a multiple of 32? True Is 10 a factor of -10 + -9 + 11 - -2411? False Suppose 2*l - 8 + 8 = 0. Suppose 4*j - 278 - 250 = l. Is 6 a factor of j? True Suppose -97*k = -96*k + 29. Let w = 172 + k. Is 14 a factor of w? False Let k(o) = -o + 4. Let m(i) = -3*i + 13. Let t(q) = 11*k(q) - 4*m(q). Let f be t(12). Suppose f*r - 3*j - 11 = 22, 2*r - 4*j - 24 = 0. Does 2 divide r? True Suppose 5*n + 5 = 0, p + 66*n - 69*n - 408 = 0. Is p a multiple of 9? True Let c(x) = -42*x + 657. Is c(5) a multiple of 13? False Suppose -136 = -2*p - 2*g + 52, 4*p + 5*g - 374 = 0. Is p a multiple of 5? False Suppose 36*l - 7732 - 7784 = 0. Is 18 a factor of l? False Let o = 18 + -16. Suppose o*a + 10 = -4*i, 5*i - 2*i - 51 = 5*a. Is (82/6)/(a/(-27)) a multiple of 11? False Let q(k) = -8*k + 2. Let v be (0 + 1)/((-5)/25). Is q(v) a multiple of 13? False Let b be (6/5)/(6/40). Let t(r) = -r**2 + 8*r + 2. Let s be t(b). Suppose 2*l + s*l - 72 = 0. Is 9 a factor of l? True Let r be ((-4)/(-12))/((-2)/(-30)). Suppose d - 3*v = -16, -20 = -r*v + 5. Is (-33 + (d - 1))*-1 a multiple of 14? False Let q(b) be the second derivative of 5*b**4/12 - b**3/2 - 3*b**2/2 - 11*b. Let x be q(-1). Suppose r - 108 = -x*n, -3*n + 44 = 2*r - 18. Does 5 divide n? False Let b = 8 + 4. Let m be 18/8 + b/16. Suppose -9 = -m*v + 81. Does 10 divide v? True Suppose -4*o + 25 = 5. Let y = -1 + o. Suppose 3*b - 2*v = 50, -y*v = -3*b - 7*v + 75. Does 7 divide b? False Let h(o) be the third derivative of -o**4/24 - 5*o**3/6 + 6*o**2. Let a be h(-3). Is 14 a factor of -3 + 1 + a - -18? True Let h(z) = 3*z**2 + 49*z + 36. Let d be h(-19). Let c = d - 116. Is 3 a factor of c? True Let o be 1069/(-5) - (-2)/(-10). Suppose 556 = -2*t - 100. Let d = o - t. Does 34 divide d? False Is 21 a factor of (-14)/4*(-1 - 11)? True Let d(c) = 380*c**3 + 5*c**2 - 6*c + 5. Is 6 a factor of d(2)? False Let f(s) = 6*s**3 + 7*s**2 - 12*s - 10. Is 9 a factor of f(5)? True Let d(q) = -q**2 - 6*q + 3. Let m be d(-6). Suppose -3*u + 8 + 4 = 0, -m*z = -2*u - 70. Suppose 2*a + 3*b - z = 66, 0 = -4*a - 3*b + 172. Does 10 divide a? True Let p(m) = 9*m**2 + 4. Let u be p(3). Let r = -69 + u. Does 4 divide r? True Let u(b) be the first derivative of 10*b**3 - b**2 - b - 29. Is u(2) a multiple of 23? True Suppose -n - 4*n - 42 = 4*m, -5*m + 2*n - 69 = 0. Let k = 27 + m. Suppose 0*r = r - k. Does 8 divide r? False Let w be (12/7)/(1 + (-42)/49). Suppose -79 = -5*u + 4*v, 70 = 5*u + 7*v - 2*v. Is 40/w*36/u a multiple of 8? True Let q(i) be the third derivative of i**6/120 + i**5/30 - i**4/6 + 5*i**3/6 + 9*i**2. Does 19 divide q(4)? False Let h = 391 + -161. Is h a multiple of 23? True Let y(b) be the second derivative of b**5/60 + b**4/12 - 4*b**3/3 + 2*b**2 - 6*b. Let h(z) be the first derivative of y(z). Does 27 divide h(-7)? True Let p be (11/(198/(-24)))/(2/(-6)). Suppose 3*m - 1616 = -2*m + p*f, 2*f + 646 = 2*m. Is 54 a factor of m? True Let z(c) = 2*c - 14. Let n be z(10). Let d = n + 4. Let f = d - 1. Is f a multiple of 9? True Suppose -2*t - 739 + 125 = 0. Let b = t - -437. Is b a multiple of 15? False Let u(i) = i**3 + 16*i**2 + 13*i + 10. Let g = -55 - -40. Is 8 a factor of u(g)? True Is 5 a factor of (-8946)/(-112) - (-1)/8? True Suppose -4*y = -d + 10, -14 = 7*y - 4*y - 4*d. Does 13 divide y/4*((9 - 4) + -629)? True Suppose -5 = -3*l - 0*l - 2*m, -3*l = 4*m - 1. Suppose 2*d = g - 1 - l, 0 = -g. Does 13 divide ((-3)/d)/(3/52)? True Suppose -2*t + 82 = -4*t. Let u = t - -89. Is u a multiple of 24? True Suppose 0 = -v - 4*b + 1110, 0*v - 3372 = -3*v + 2*b. Is v a multiple of 51? True Suppose 2*t + 368 = 7*t + 4*w, 4*w + 392 = 5*t. Is 10 a factor of t? False Let s be (3/(-2))/(3/(-44)). Suppose 0 = 5*z - 116 - 109. Let y = z - s. Is 7 a factor of y? False Suppose 8 = -2*c + 4*c, 2*c - 10 = -o. Suppose 34 - 134 = -o*w - 2*d, 3*d - 54 = -w. Does 24 divide w? True Let d(a) = 30*a - 65. Is 28 a factor of d(7)? False Suppose 5*l + 21 = u - 21, 0 = -l + 3. Is u a multiple of 2? False Suppose -90 = y - 3*b, -2*y + 3*b = 2*b + 155. Is 6 a factor of (780/y)/(1*4/(-30))? True Let z = 309 - -3. Does 24 divide z? True Let y(t) = t**3 - 16*t**2 - 9*t - 17. Let i be y(17). Let o = -105 + i. Does 13 divide o? False Suppose 0 = 3*w - 5*b - 249, -5*b + b = 2*w - 188. Suppose 5*x + w = k + 5, 12 = -4*x. Suppose 0 = -0*r - 2*r + k. Is r a multiple of 34? True Let l be 947*(-1)/(-7) + (-26)/91. Let i = 3 - -6. Suppose i*j = 6*j + l. Is 15 a factor of j? True Is ((-138)/(-5))/(16/(-10) + 2) even? False Suppose 0 = -3*f + 8*t + 1508 + 65, -4*t = 5*f - 2535. Is 7 a factor of f? True Suppose 4*v - 202 = 22. Is v a multiple of 28? True Suppose -3*j - 40 - 281 = 3*k, 0 = 3*j - k + 321. Let p = j - -59. Does 12 divide (p/(-40))/(1/20)? True Suppose -121*u = -94*u - 17928. Does 13 divide u? False Is 3 a factor of ((-62505)/36)/(-15) - (-3)/(-4)? False Suppose -2*v = 5*l - 2259, 4*l - 1720 = 3*v + 78. Is 8 a factor of l? False Suppose -2*c + 125 = -t, 3*c + 131 = 5*c + t. Is (c/(-5))/((-1)/5) a multiple of 16? True Suppose 4834 = -12*y + 21142. Does 24 divide y? False Let j be 4/(-22) - (-576)/22. Let r = 49 + j. Is 15 a factor of r? True Let x(w) = -33*w - 9. Is x(-9) a multiple of 11? False Suppose -2*z - 3*f + 411 = 0, -z + 5*f = -3*z + 405. Does 14 divide z? True Suppose 20*w - 18143 = -6143. Is w a multiple of 12? True Suppose 36*n - 40*n + 3246 = -2*i, -n = 5*i - 828. Does 6 divide n? False Let m = 1767 - 936. Is 28 a factor of m? False Let y(k) = k**3 + 16*k**2 + 21*k + 26. Is y(-14) a multiple of 54? False Let n(t) = t**3 + 24*t**2 - 58*t + 27. Is 14 a factor of n(-26)? False Let n(f) = -f**3 + 4*f**2 + f + 2. Let z be 14/49 - 52/(-14). Let b = 0 + z. Is n(b) even? True Let o be (3/6)/((-1)/20). Let h be 27/5 + 4/o. Suppose -2*r - h*v = -83, r - 3*v - 28 = 30. Is 14 a factor of r? False Let l = -833 + 926. Does 21 divide l? False Let w(i) = 9*i**2 + 3*i + 1. Let r be w(-3). Let j = -1 + r. Is j a multiple of 20? False Suppose -556 - 239 = -5*h - 5*z, -3*z - 333 = -2*h. Does 54 divide h? True Let y = 5 - -1. Suppose 2*g + 3*g - 340 = -5*f, y = -3*g. Does 12 divide f? False Let c = -454 - -595. Is 4 a factor of c? False Let f = 6985 - 4404. Is f a multiple of 100? False Let c = 3276 - 2444. Is 8 a factor of c? True Is (11/(385/2050))/(2/28) a multiple of 3? False Let b(s) = s**3 + 11*s**2 - 16*s - 32. Suppose -m + p - 7 = 0, -6*p + 19 = -m - 9*p. Does 12 divide b(m)? True Suppose 2*l = 2*h - 3*h + 13, l = h - 1. Suppose -4*x = 5*t - 172, -99 - 37 = -l*x + 4*t. Does 19 divide x? True Suppose 143*y + 4165 = 150*y. Is y a multiple of 15? False Suppose -2*i - 6 = -2*z, -2*z - z = 0. Does 8 divide 223/8 + i/(-24)? False Is 5 a factor of (-722)/(-22) - (-320)/1760? False Let h(v) = -v**3 + v**2 + 2*v - 5. Suppose 6 - 18 = 4*i. Is h(i) a multiple of 5? True Let k = 40 + -36. Suppose 0 = -5*d + k*m + 75, m - 10 = -m. Is d a multiple of
{ "pile_set_name": "DM Mathematics" }
e prime factors of 27209678? 2, 13604839 List the prime factors of 225889553. 71, 3181543 What are the prime factors of 62780435? 5, 12556087 What are the prime factors of 274099628? 2, 11, 421, 14797 List the prime factors of 56532894. 2, 3, 11, 7079 List the prime factors of 2507710704. 2, 3, 347, 150559 List the prime factors of 94302718. 2, 197, 239347 List the prime factors of 14960338. 2, 103, 72623 What are the prime factors of 70139881? 7, 10019983 List the prime factors of 1760385643. 43, 109, 379, 991 List the prime factors of 72279437. 167, 443, 977 What are the prime factors of 45217812? 2, 3, 139, 27109 What are the prime factors of 8798299? 17, 517547 List the prime factors of 44596381. 44596381 List the prime factors of 5024668517. 11, 456788047 What are the prime factors of 55740503? 7, 13, 211, 2903 What are the prime factors of 255843351? 3, 28427039 What are the prime factors of 61824430? 2, 5, 73, 84691 What are the prime factors of 3750486648? 2, 3, 37, 4223521 What are the prime factors of 40527914? 2, 7, 977, 2963 What are the prime factors of 3791234446? 2, 1895617223 What are the prime factors of 34169150? 2, 5, 17, 61, 659 List the prime factors of 457646961. 3, 41, 3720707 What are the prime factors of 2671583094? 2, 3, 49473761 List the prime factors of 1097452497. 3, 113, 149, 21727 List the prime factors of 117148081. 29, 4039589 What are the prime factors of 736363633? 83, 787, 11273 List the prime factors of 3375304596. 2, 3, 577, 162493 List the prime factors of 65353068. 2, 3, 11, 1667 What are the prime factors of 119423716? 2, 37, 806917 List the prime factors of 159864532. 2, 17, 163, 14423 What are the prime factors of 89371145? 5, 17874229 List the prime factors of 747033251. 53, 167, 84401 List the prime factors of 38621391. 3, 12873797 List the prime factors of 1480959507. 3, 167, 2956007 What are the prime factors of 97976320? 2, 5, 13, 23 What are the prime factors of 3920873755? 5, 1289, 608359 List the prime factors of 929487748. 2, 7, 151, 191, 1151 What are the prime factors of 743405645? 5, 41, 353, 10273 What are the prime factors of 34220748? 2, 3, 19, 150091 What are the prime factors of 26008072? 2, 3251009 List the prime factors of 120715895. 5, 17, 449, 3163 List the prime factors of 31650962. 2, 7, 322969 What are the prime factors of 270790439? 229, 1182491 List the prime factors of 99014329. 113, 876233 List the prime factors of 108550957. 108550957 List the prime factors of 524585156. 2, 131146289 What are the prime factors of 1713243272? 2, 13, 17, 31, 31259 What are the prime factors of 78456073? 19, 661, 6247 What are the prime factors of 585587102? 2, 67, 241, 18133 What are the prime factors of 17836039? 13, 389, 3527 List the prime factors of 29951295. 3, 5, 11, 181523 List the prime factors of 288118805. 5, 13, 17, 31, 647 What are the prime factors of 2473650585? 3, 5, 7, 1121837 List the prime factors of 5744135344. 2, 337, 1065307 List the prime factors of 3674620. 2, 5, 313, 587 List the prime factors of 1053134. 2, 613, 859 What are the prime factors of 25084339? 7, 1033, 3469 What are the prime factors of 288508174? 2, 191, 755257 List the prime factors of 158503055. 5, 4583, 6917 What are the prime factors of 532678254? 2, 3, 7577, 11717 List the prime factors of 24642858. 2, 3, 4107143 List the prime factors of 322468805. 5, 89, 151, 4799 List the prime factors of 4958444. 2, 37, 33503 List the prime factors of 35574971. 35574971 What are the prime factors of 470012816? 2, 7, 13, 167, 1933 What are the prime factors of 88358281? 11, 8032571 List the prime factors of 801922318. 2, 400961159 What are the prime factors of 2508968670? 2, 3, 5, 13, 6433253 List the prime factors of 862937745. 3, 5, 73, 788071 List the prime factors of 579784092. 2, 3, 23, 89, 23603 What are the prime factors of 16884016? 2, 1055251 List the prime factors of 78233509. 139, 562831 List the prime factors of 8240918197. 29, 284169593 List the prime factors of 102748081. 102748081 List the prime factors of 1039358967. 3, 3881, 89269 List the prime factors of 52923019. 52923019 What are the prime factors of 63853529? 63853529 List the prime factors of 167280151. 137, 431, 2833 What are the prime factors of 491545941? 3, 19, 2749, 3137 List the prime factors of 911241380. 2, 5, 7, 43, 229, 661 What are the prime factors of 45274739? 19, 2382881 What are the prime factors of 2451891170? 2, 5, 245189117 What are the prime factors of 617076940? 2, 5, 30853847 What are the prime factors of 96260990? 2, 5, 7, 151, 1301 What are the prime factors of 21458945? 5, 769, 5581 What are the prime factors of 18959342? 2, 1307, 7253 List the prime factors of 65948058. 2, 3, 11, 333071 List the prime factors of 1206408413. 7, 8597, 20047 List the prime factors of 3003176534. 2, 1501588267 List the prime factors of 969327949. 969327949 What are the prime factors of 78651679? 439, 179161 List the prime factors of 28314240. 2, 3, 5, 14747 List the prime factors of 108569261. 197, 551113 List the prime factors of 454215209. 7, 64887887 What are the prime factors of 2421035? 5, 484207 What are the prime factors of 44251794? 2, 3, 2458433 List the prime factors of 83577751. 19, 4398829 What are the prime factors of 10357817? 37, 279941 List the prime factors of 74269814. 2, 2551, 14557 List the prime factors of 547967689. 47, 53, 219979 What are the prime factors of 86179132? 2, 13, 31, 193, 277 What are the prime factors of 66037893? 3, 22012631 What are the prime factors of 2313127530? 2, 3, 5, 7, 407959 List the prime factors of 99683197. 31, 3215587 List the prime factors of 596501826. 2, 3, 23, 619, 6983 List the prime factors of 81009429. 3, 27003143 List the prime factors of 136735762. 2, 68367881 List the prime factors of 9278699. 9278699 What are the prime factors of 853767202? 2, 426883601 List the prime factors of 243112103. 13, 18700931 List the prime factors of 1431450239. 109, 251, 52321 List the prime factors of 834980644. 2, 29, 7198109 List the prime factors of 1641968013. 3, 7, 78188953 List the prime factors of 211312398. 2, 3, 11, 307, 10429 What are the prime factors of 83058246? 2, 3, 4614347 What are the prime factors of 133413155? 5, 19, 293, 4793 List the prime factors of 25014880. 2, 5, 11, 61, 233 List the prime factors of 2642636328. 2, 3, 10259, 10733 What are the prime factors of 281671153? 1051, 268003 What are the prime factors of 6008176352? 2, 19, 9881869 What are the prime factors of 208058896? 2, 2237, 5813 List the prime factors of 77171094. 2, 3, 7, 11, 13, 4283 What are the prime factors of 1092693? 3, 7, 61, 853 List the prime factors of 3448199. 401, 8599 List the prime factors of 58373070. 2, 3, 5, 7, 17, 83, 197 List the prime factors of 68008189. 68008189 List the prime factors of 1378453891. 17, 113, 617, 1163 List the prime factors of 2848461894. 2, 3, 17, 83, 112153 What are the prime factors of 35099544? 2, 3, 739, 1979 What are the prime factors of 313345266? 2, 3, 13, 309019 What are the prime factors of 582078480? 2, 3, 5, 23, 105449 List the prime factors of 1471530586. 2, 29, 25371217 List the prime factors of 31836607. 11, 907, 3191 List the prime factors of 210510765. 3, 5, 101, 15439 List the prime factors of 54271454. 2, 41, 137, 4831 What are the prime factors of 15470242? 2, 7735121 What are the prime factors of 558199251? 3, 62022139 What are the prime factors of 11476092? 2, 3, 956341 List the prime factors of 152708742. 2, 3, 61, 139079 List the prime factors of 49880183. 49880183 List the prime factors of 16201460. 2, 5, 11, 73643 What are the prime factors of 3934793519? 307, 12816917 List the prime factors of 3899896192. 2, 23, 613, 2161 What are the prime factors of 45985228? 2, 37, 310711 What are the prime factors of 666095696? 2, 7, 127, 46829 What are the prime factors of 1219469786? 2, 277, 2201209 What are the prime factors of 57136690? 2, 5, 13, 211, 2083 List the prime factors of 24979115. 5, 7, 257, 2777 List the prime factors of 1419067597. 1419067597 What are the prime factors of 577629? 3, 13, 4937 What are the prime factors of 5175732927? 3, 151, 11425459 What are the prime factors of 841381034? 2, 13, 17, 181, 809 What are the prime fact
{ "pile_set_name": "DM Mathematics" }
0. Suppose -74 - 240 = -68*h + 26. Do u and h have different values? False Let r be 4/(56/(-6)) + 28800/21. Are r and 1371 non-equal? False Let c = -11174 + 12119. Do 1 and c have different values? True Let m be 35/14 + (-13)/(1430/99). Is -2/27 < m? True Let g = 10911 + -10910.8. Is g != -188? True Let a = -6808 - -6808. Which is greater: 36 or a? 36 Suppose -15470 = -36*c + 21574. Is 1029 greater than or equal to c? True Let u be (-30)/8*40/(-15). Let k be -208*5/(-25) + 4/u. Let h be 287/k + 2/(-6). Which is bigger: h or 7? 7 Suppose -18 = -147*x + 165*x. Let u be (-68 + (-6 - -7))*x. Which is smaller: 271/4 or u? u Suppose 3*h - 8*h = z, 4*z + 20 = 0. Let m(t) = -t**2 + 16*t - 46. Let d be m(6). Is d at most h? False Suppose 0 = 1642*b - 1726*b + 156240. Which is smaller: b or 1858? 1858 Let h be 3*(-10)/(-375)*-5*-20. Let t be h/6*-1*(-14)/4. Which is smaller: t or 4? 4 Let j = -5.88 - 0.12. Let x = j + 34. Let b = 28.2 - x. Does b = 1/6? False Let x(c) = 91*c + 37. Let w be x(-5). Let n = 374 + w. Is -45 at least n? False Let l = -3221 + 3186. Is 9 at most l? False Suppose -5*w - 4*l - 3040 = 0, -2*w - 1183 = -10*l + 5*l. Let h = w - -599. Let k(z) = -z - 5. Let t be k(6). Which is smaller: h or t? t Let v(b) = 2*b - 66. Let o be v(37). Is o less than 219/26? True Let w = -173 + 242. Suppose 82*n - 79*n - u = 1114, 0 = -5*u - 5. Let y = -303 + n. Which is smaller: y or w? y Let z(d) = 4*d**3 + 2*d**2 - 14*d + 13. Let v be z(1). Let a be 5 - (v - -2) - -2. Is 6/205 > a? True Let m be (-60 + 3)/(136/(-16) + 7). Which is bigger: 147/4 or m? m Let f(b) = 2*b**2 - 3*b + 2. Suppose 6*y + 0*y - 2*y = 0. Let h be f(y). Suppose -1 = -2*v - 5*c, v - c = h*v - 2. Which is smaller: v or 4? v Suppose 6601 = 2*t - 5*i, 687 = -2*t + 3*i + 7274. Is 3283 > t? False Let j = 304.876 - 345.81. Let i = 5.834 - 5.9. Let s = i + j. Which is smaller: s or -1/3? s Suppose -3*j + 2*i - i = -182, 228 = 4*j - 5*i. Let x(y) = -2*y**2 - 31*y + 21. Let k be x(-14). Is k at most as big as j? False Let b = 1278 - 1277. Do b and 23/54 have different values? True Suppose 0 = 2*c + c + 243. Let l = c - -81. Suppose -v = -5*v - 5*m + 1, l = 4*m - 4. Does v = 4/27? False Suppose 0 = -30*a - 57*a. Which is smaller: -1/4413 or a? -1/4413 Suppose -31*z - 8927 = -8555. Are -742 and z non-equal? True Let r be 64*(-24)/(7 - 13). Suppose 5*x - 877 = 398. Is r at most x? False Let v be (-210)/26 + 8 - 68799/(-39). Which is greater: v or 2? v Suppose -i - m = -3, -i - 4*m = m + 1. Let g(b) = b. Let n(z) = -z - 23. Let p(a) = i*g(a) + n(a). Let u be p(10). Is u < 7? False Let r be (185 - 12)*(-274)/6772 + 7. Which is bigger: 0 or r? r Suppose -3*r - 47 = -2*c - 64, 35 = -4*c + 5*r. Which is greater: c or -208/21? -208/21 Let r = -30438 + 40766. Which is smaller: r or 10329? r Let p = 125493/14 - 8962. Which is greater: 3 or p? 3 Let n(u) = -17*u - 27. Suppose 0 = -6*z - z - 42. Let d be n(z). Is d <= 74? False Suppose -5*t + h = -24, t + 3*h + 5 = -3. Suppose -2*i - t*s = i + 73, -3*s - 72 = 3*i. Let y = 22 + i. Are y and -1/10 nonequal? True Let g be ((9/25570)/(-3))/(7 - 119/14). Is g <= 1? True Let j = 69.98 - 71.08. Let r = 8 + -8.7. Which is smaller: j or r? j Suppose 3991 = 37*y - 10328. Suppose -s = -0*s - f - 77, -5*s + 3*f + y = 0. Is s less than 77? False Let h(r) = -33*r**2 + 194*r + 23. Let z be h(6). Do z and 9/82 have different values? True Let r = -43.2 - -48. Let t = -5 + r. Let i = 1112 - 1102. Which is smaller: t or i? t Let g be (-415191)/14824 + 21 - (1 + -8). Which is bigger: 1 or g? 1 Suppose v - 2*w - 165 = w, 2*v = -3*w + 375. Suppose 13*j + 23*j = -v. Is j at least as big as -57/10? True Let i = -501.5 - -511. Let u = i + -9.69. Is -1 at most as big as u? True Let c = -0.292 + -0.078. Suppose p = 11 - 10. Do c and p have different values? True Let m = -5799082/11 + 527594. Are 0 and m nonequal? True Suppose 2*a - 7*f + 4*f - 14 = 0, -18 = 2*a + 5*f. Suppose a = -m, 0 = -0*l - l - 3*m. Suppose 0 = -l*d - 9, q = -d + 6*d + 16. Is 1/17 smaller than q? True Let a be (4 + 2 - -5) + (30 - 31). Is 0.203 not equal to a? True Let r = 153564/19 + -8082. Let w(l) = l - 1. Suppose -4*d = 3*u - 5*u - 12, 3*u + 15 = 5*d. Let j be w(u). Is r at least j? True Let m = 5 + -10. Let g = 786 + -768. Which is smaller: g or m? m Let j = -1393 - -1387. Let w(f) = f**2 + 6*f - 22. Let v be w(-8). Is v > j? False Let o = 282 - -163. Let a = o + -444. Let w = -0.01 + -1.99. Which is smaller: w or a? w Let r = 24279/76454 + 207/602. Which is greater: r or 2? 2 Let a = 0.006 - -0.0116. Let h = -0.3086 + a. Let s = 0.009 - h. Is s != 6/11? True Suppose 49*f - 72 - 10 = 131*f. Which is greater: 6/1559 or f? 6/1559 Let j be (-2409*-8*1/(-24))/(-2). Which is smaller: j or 401? 401 Let d be 0 + -5 - (209 + -213). Which is bigger: d or 1/7277? 1/7277 Let v = 25 + -15. Let z(n) = 10*n**2 - 8 - 8 - n**3 + 143572*n - 143570*n. Let i be z(v). Which is bigger: 9 or i? 9 Suppose 2*t - 80 = -4*v, 0*v - 26 = -v + t. Suppose -v*c + 129 = -19*c. Is 42 at most c? True Suppose h = 4*t - 13, 2*t - t + 5*h + 2 = 0. Suppose t*p = -p. Let m be 13/(6006/(-96))*(-2 + (-3)/2). Which is bigger: m or p? m Let w be 120700/(-12080) + -6 + 16. Is w smaller than 1? True Suppose -4*v + 2 - 16 = 3*l, 3*v + 27 = -5*l. Does v = -2/2569? False Let h = 3020 + -3020. Is h < 42/575? True Suppose -181*i - 243881 - 331522 = -117111. Which is bigger: i or -2533? i Let j(d) = -d**2 - 9*d - 4. Let u be j(-5). Let v = u - 44. Let y = v + 28. Which is smaller: y or -1/29? -1/29 Let n be 5 - (-4*1 + (-714)/(-17))*118. Is n at most as big as -4477? True Let l = 1487 + -1453.2. Is -2 smaller than l? True Suppose 4*s - 10947 = 10001. Let m = s - 811739/155. Is m less than 0? True Let i be ((-1)/((-5)/96))/(((-28)/35)/4). Is -3/2 less than i? False Suppose -22*r + 19*r + 12 = 0. Suppose -r*d - d + 48 = -s, -d + 18 = -3*s. Suppose 4*f - d = f. Is 4 at most f? False Let z be (-49291)/(-16429) + ((-6)/(-2))/(22 - 23). Are z and 0 equal? False Let h = -521 - -4699/9. Let g = -41/36 - h. Is -5/6 >= g? True Let c = -166.99 + -2.01. Let n = 168.9 + c. Which is bigger: n or -0.8? n Let x be (-30)/8*5432/21. Let c = 10694/11 + x. Let g be (-1)/(-2) + 6/4. Which is bigger: c or g? c Suppose -152*k + 2090 = -174*k. Is -99 greater than or equal to k? False Let o = -1 - -1. Let t be ((-633)/422)/((-2)/4). Suppose r - 3*r + t*f - 8 = o, 5*f + 31 = -3*r. Is -7 bigger than r? False Let q = 33 + -15. Suppose -2*u + q = m, -2*m = -0*m - u - 46. Suppose -3*w + w - m = 0. Is w > -31/3? False Suppose 43 = 3*k + f, 4*k + 2 - 42 = 3*f. Suppose -5*o - 13 = 12, k = -4*q - 5*o. Suppose q*g + 3*l + 6 = 0, -3*g = g - 4*l + 8. Is 3 at most g? False Let q = -2059 + -20824. Which is bigger: q or -22882? -22882 Let q = 2390 - 2413. Do q and -22/13 have different values? True Let u = -1284 + -14647. Which is smaller: -15933 or u? -15933 Let n = -3409 + 3408.6. Which is smaller: n or 49.3? n Let f = -9466 - -8423. Which is smaller: f or -1042? f Suppose 0 = 4*d - d - 147. Suppose 5*i + t + 285 = 0, 2*t - 319 = 5*i - d. Let j = 55 + i. Which is bigger: j or -26? j Let f = -0.01 - 14.99. Let a = -7.2 - -7.121. Let w = 0.179 + a. Which is smaller: f or w? f Let a = -4444 - -4661. Do 218 and a have different values? True Let x be (-1574)/12 + (-44)/(-264). Let h be (-4)/(-10) + (-4619)/35. Let s = h - x. Which is bigger: s or -1? s Let n = -654.1 + 711. Let k = -55 + n. Let v = -3.2 - k. Does -1 = v? False Let u = -13583.961 - -13572. Is -0.2 at least u? True Let y = 15.063 + 21.437. Is y >= -7? True Let k = 4011/17 - 1399703/5933. Are k and 1 unequal? True Suppose 0 = 3*b - 7*b + 16. Let a be 18/(-54) - b/6. Let z = -340 + 8498/25. Is a <= z? True Let r be (766/(-88856))/((-1)/20). Suppose -4*s + 0*s = 4. Which is smaller: r or s? s Let o = -98 - -104. Suppose -2*w - 3*p = -117, -o*p = -4*w - 7*p + 229. Which is greater: w or 58? 58 Let l be 286/306 - 62/558. Let y(i) = i**3 + 7*i**2 - 7*i + 10 + 0*i**2 + 1 - 1. Let j be y(-8). Is j less than l? False Let y = 9241 + -9241.189. Is y < -1/15? True Let c be -1 + 1 - (-140)/3010. Let v = -0.06 + -0.64. Is c at most as big as v? False Let h = -193 - 836. Does h = -1030? False Let v = 14336 + -129022/9. Which is greater: 24
{ "pile_set_name": "DM Mathematics" }
000117 Round -63555557.55 to the nearest one hundred thousand. -63600000 What is -212657.9622 rounded to the nearest 1000? -213000 What is 652.550595 rounded to zero decimal places? 653 What is 0.320695257 rounded to four decimal places? 0.3207 Round 379698.888 to the nearest 100. 379700 What is 5.1759903 rounded to 3 dps? 5.176 Round -0.0000541789921 to five dps. -0.00005 Round 244352586.7 to the nearest one million. 244000000 Round -96843248.8 to the nearest 10000. -96840000 What is 99458.1733 rounded to the nearest 10000? 100000 What is 1.3630377 rounded to 4 decimal places? 1.363 Round 0.008254743 to three dps. 0.008 Round -7712997.55 to the nearest 1000000. -8000000 Round -6275013.33 to the nearest 10000. -6280000 What is -23537634.2 rounded to the nearest ten thousand? -23540000 What is 3763.317035 rounded to the nearest one thousand? 4000 What is 0.1165917535 rounded to 4 dps? 0.1166 Round 7.697109 to 1 dp. 7.7 Round 689.128692 to 1 dp. 689.1 What is 81380.55 rounded to the nearest 100000? 100000 Round -4933.411246 to the nearest 1000. -5000 What is 0.000266340842 rounded to 4 dps? 0.0003 Round -0.476239668 to one decimal place. -0.5 Round -12315690 to the nearest 1000. -12316000 Round -0.00079606272 to 4 dps. -0.0008 What is 990.8498308 rounded to 2 decimal places? 990.85 What is -58.8328719 rounded to the nearest integer? -59 Round -20.2739531 to three decimal places. -20.274 What is 0.527373171 rounded to three dps? 0.527 What is 4768878.9 rounded to the nearest 10000? 4770000 What is -0.000029023505 rounded to six decimal places? -0.000029 What is -354907727 rounded to the nearest 100000? -354900000 What is 0.0132620165 rounded to five dps? 0.01326 What is -3362421 rounded to the nearest ten thousand? -3360000 Round -465511768 to the nearest ten thousand. -465510000 Round 28103.0404 to the nearest integer. 28103 Round -735401.46 to the nearest one thousand. -735000 What is 7694042.92 rounded to the nearest one hundred thousand? 7700000 What is 4026153.6 rounded to the nearest 1000000? 4000000 Round -1902095.4823 to the nearest 100000. -1900000 What is 202377.6878 rounded to the nearest 10000? 200000 Round -525.7866985 to the nearest integer. -526 What is -155.7436639 rounded to one decimal place? -155.7 Round -62621.278 to the nearest 10000. -60000 What is 14362119.32 rounded to the nearest 100000? 14400000 What is -24541.943 rounded to the nearest 100? -24500 Round -20228997610 to the nearest 1000000. -20229000000 Round 80197816.3 to the nearest 100000. 80200000 What is 0.01184547677 rounded to 5 dps? 0.01185 Round 165.065916 to two decimal places. 165.07 Round 5523360 to the nearest 10000. 5520000 Round -1425681.7866 to the nearest 10000. -1430000 What is 5176528600 rounded to the nearest 1000000? 5177000000 Round 3362669000 to the nearest 1000000. 3363000000 What is 0.002200659956 rounded to 7 decimal places? 0.0022007 Round -844302982 to the nearest one million. -844000000 Round 5.7290144 to the nearest integer. 6 What is -20.182096 rounded to 2 decimal places? -20.18 What is -0.0001146068002 rounded to 7 decimal places? -0.0001146 What is 751551160 rounded to the nearest one hundred thousand? 751600000 What is -0.01954204997 rounded to 4 dps? -0.0195 What is -5946719.66 rounded to the nearest 10000? -5950000 Round -3.3111408 to 1 dp. -3.3 Round 1935.2471 to the nearest integer. 1935 Round 0.0116775944 to three dps. 0.012 What is -0.000005579824382 rounded to 6 dps? -0.000006 Round -0.001808689847 to 7 dps. -0.0018087 What is -10284697.5 rounded to the nearest 10000? -10280000 Round 101820712 to the nearest ten thousand. 101820000 Round -15.778558499 to 2 decimal places. -15.78 Round 0.14904545 to 3 dps. 0.149 Round -16643150.4 to the nearest 10000. -16640000 What is -0.00001013225 rounded to 4 decimal places? 0 What is 3201373.19 rounded to the nearest 100? 3201400 Round -61.70813805 to 2 dps. -61.71 Round -0.00026006083 to 5 dps. -0.00026 What is 4438.47639 rounded to the nearest integer? 4438 What is -5514734.3 rounded to the nearest 10000? -5510000 What is 19.7263073 rounded to 2 decimal places? 19.73 What is 1216.1801544 rounded to the nearest 10? 1220 Round 21887763.5 to the nearest one hundred thousand. 21900000 What is -12.50413725 rounded to two decimal places? -12.5 Round 0.000744241548 to 7 decimal places. 0.0007442 What is -3.7572067 rounded to 1 dp? -3.8 Round 15413736.22 to the nearest 10000. 15410000 What is 1894640.15 rounded to the nearest one thousand? 1895000 Round -3798993.8 to the nearest one thousand. -3799000 What is -0.63165942 rounded to three dps? -0.632 What is 234086.8636 rounded to the nearest one thousand? 234000 Round -369.496 to the nearest integer. -369 Round 0.000000248689662 to seven decimal places. 0.0000002 What is -32622.0487 rounded to the nearest integer? -32622 Round -0.0355060964 to three dps. -0.036 What is 1829.17567 rounded to the nearest 100? 1800 What is -2679.938643 rounded to the nearest one hundred? -2700 What is 0.00858276032 rounded to 3 decimal places? 0.009 Round -2058891.4 to the nearest 100000. -2100000 Round 0.1746036778 to two dps. 0.17 Round 1.1969495 to 1 decimal place. 1.2 What is 108507659 rounded to the nearest one hundred thousand? 108500000 What is -2093188.645 rounded to the nearest one thousand? -2093000 What is 64.313763 rounded to one decimal place? 64.3 Round 588.096767 to the nearest one hundred. 600 Round 0.00000285924439 to six decimal places. 0.000003 Round 3797084300 to the nearest 1000000. 3797000000 Round -7769.4641 to the nearest ten. -7770 What is -1245.17502 rounded to the nearest 1000? -1000 Round 1381132.6 to the nearest one hundred. 1381100 What is 0.00031842803 rounded to three decimal places? 0 What is -86.72592 rounded to 1 dp? -86.7 Round 738.62692 to the nearest ten. 740 Round -9082.6199 to the nearest ten. -9080 Round -6602.4774 to the nearest 10. -6600 What is 8143.3678 rounded to the nearest integer? 8143 What is 0.006919442285 rounded to four dps? 0.0069 Round 11513.446 to the nearest integer. 11513 What is 0.000007114728317 rounded to 6 dps? 0.000007 Round 15.309996 to 3 decimal places. 15.31 What is -3.36742542 rounded to 1 dp? -3.4 Round 37231.501 to the nearest ten thousand. 40000 What is -25.349508 rounded to one decimal place? -25.3 Round 36624602 to the nearest one hundred thousand. 36600000 Round -0.000121976888 to five dps. -0.00012 Round 0.03042632 to 4 dps. 0.0304 What is -2.31001391 rounded to one dp? -2.3 What is 0.019053543472 rounded to 3 dps? 0.019 What is -2311.8392 rounded to the nearest one hundred? -2300 What is -0.0094756327 rounded to three decimal places? -0.009 What is 0.1033545844 rounded to 5 dps? 0.10335 Round -24936.4583 to the nearest ten. -24940 What is -531886.79 rounded to the nearest 10000? -530000 Round -328264180 to the nearest 100000. -328300000 What is 384.040641 rounded to the nearest one hundred? 400 What is 362.219005 rounded to the nearest 10? 360 Round -6618779.16 to the nearest one million. -7000000 What is -21.13928257 rounded to 3 decimal places? -21.139 What is -1290258098 rounded to the nearest one hundred thousand? -1290300000 Round 0.000119684336 to 7 dps. 0.0001197 Round -509.6173 to the nearest 10. -510 What is 1390.833196 rounded to one decimal place? 1390.8 What is 0.5178849 rounded to 4 dps? 0.5179 What is 334796514.2 rounded to the nearest 10000? 334800000 What is -0.0001088013569 rounded to 6 dps? -0.000109 What is -20996719.6 rounded to the nearest 10000? -21000000 What is 0.000464979625 rounded to 7 dps? 0.000465 What is 0.003359998929 rounded to 7 dps? 0.00336 Round 625.822613 to the nearest ten. 630 What is 0.00007996803169 rounded to 6 dps? 0.00008 What is 100.0099622 rounded to 1 decimal place? 100 What is -3.20062776 rounded to 3 dps? -3.201 What is 11784804.46 rounded to the nearest ten thousand? 11780000 What is 0.741171169 rounded to three decimal places? 0.741 What is -0.000003506077178 rounded to 7 dps? -0.0000035 What is -1049.26546 rounded to the nearest 100? -1000 What is 23.287901 rounded to one decimal place? 23.3 Round 0.00001787048033 to 7 dps. 0.0000179 Round 0.0199003163 to three dps. 0.02 What is 4250.1272 rounded to the nearest ten? 4250 What is 0.48216835
{ "pile_set_name": "DM Mathematics" }
arrange l**2 + l**2 + l**2 - 3402*l**2 + 3568 - 3568 + (-l + 0 + 0)*(4*l - l - 5*l) - 4*l + 4*l + l**2 to s*l**2 + b*l + o and give o. 0 Rearrange -658*c**2 - 6*c**3 + 593*c**2 - 130*c**2 - 1 to the form a*c**2 + u*c + r + n*c**3 and give n. -6 Rearrange -3186*r - 6344*r + 1153*r to the form c + m*r and give m. -8377 Express 2*d**2 - 3*d**3 + 9 + 27 - 34 + 300*d as t*d**3 + s + v*d + z*d**2 and give t. -3 Rearrange -21*j**3 + 46*j - 2 + 42*j - 3 + 37*j - 126*j - j**2 to o + y*j**2 + u*j + k*j**3 and give u. -1 Express -11104*f + 38 + 7120*f - 38 as r + h*f and give h. -3984 Express (4*n - 17*n - 2*n)*(-325 + 325 - 81*n) as u + o*n + s*n**2 and give s. 1215 Express -43*u + 1175 - 48*u - 87*u - 52*u + 238*u in the form b + r*u and give b. 1175 Express ((2 - 2 - 1)*(-5 + 1 + 2) - 42 + 16 + 21 - 3 + 0 + 5 - 1 - 2 + 2)*(-2 + 2 - 6*z) in the form a + p*z and give p. 12 Express (-7 + 32 - 196)*(-3 + 1 + 0)*(270 + 83*h - 82*h - 115) as i + a*h and give i. 53010 Express (-686*o - 238 + 43 + 434 - 235)*(2 - 2 + 1) in the form l*o + k and give k. 4 Rearrange -103*z + 182*z - 23 - 39*z - 98*z to h + k*z and give h. -23 Express (-929*w - 1931*w - 1684*w)*(-w + 5*w + w) in the form h*w + s*w**2 + y and give s. -22720 Express 2*k - k - 6*k + (-6*k + 2*k + 3*k)*(-126 + 67 - 70) - 2*k + 2*k - 2*k as b + i*k and give i. 122 Express -60 - 10*h**3 + 60 + (0*h - 2*h + h)*(0*h - 2*h**2 + 0*h) + (-h**2 + 5*h - 5*h)*(-3*h + 3 - 2 + 5*h) in the form z*h**2 + i*h**3 + w + n*h and give i. -10 Rearrange 10*b + 4632 + 4*b**2 - 9262 + 4629 to p*b**2 + w*b + c and give c. -1 Rearrange 2895776*c**2 - c**4 - 2895657*c**2 - 2*c**3 + 0*c**4 + 2*c - 2 to w + t*c + l*c**3 + y*c**2 + k*c**4 and give k. -1 Rearrange (3*g - 6*g - 4*g + (0 - 2 + 0)*(-g + 5*g - 2*g))*(-112052*g + 34 + 56070*g + 56018*g + (-3*g + 5*g - g)*(5 - 3 + 0)) to t*g**2 + u*g + v and give t. -418 Rearrange 2*m**3 + 0*m**3 - 6*m**3 + (-2*m**3 + 2*m - 2*m)*(-5541 - 4649 + 11565) to the form c*m**2 + h + j*m**3 + f*m and give h. 0 Rearrange (23*r**2 + 4*r**3 - 23*r**2)*(0*r + r + 0*r + (-7*r - 5*r + 8*r)*(-12 - 19 + 12)*(-6 + 2 - 1)) to g*r**3 + h*r + f*r**4 + m + y*r**2 and give f. -1516 Express 0*b**2 + 0*b**2 - 7*b**4 - 836 + 2*b**2 - 622 + 9*b**4 - b + 2*b**3 in the form a*b**3 + i*b**2 + q + r*b + v*b**4 and give q. -1458 Express (4 + 1 - 3)*(-4483*g - 4458*g + 264 + 119 + 13351*g - 4478*g) in the form p*g + o and give p. -136 Rearrange -53*u**3 + 3*u**3 - 22*u + 12*u - 2*u**2 + 12*u to y*u**3 + l + p*u**2 + q*u and give q. 2 Rearrange 0*n**2 + n**4 + 4*n**3 + n**2 - 7*n - 5*n + 9*n to the form s*n + b + c*n**4 + f*n**3 + o*n**2 and give s. -3 Rearrange (-11*r + 4*r - 3*r)*(-3*r - 9*r - 14*r) - 27*r + 27*r + 9*r**2 - 3*r**2 + r**2 + 0*r**2 to the form p*r + q*r**2 + f and give f. 0 Express -115*p**2 - 117*p**2 - 6 + 638*p**3 - 213*p**3 - 2*p + 233*p**2 in the form x*p**2 + s*p**3 + n*p + m and give x. 1 Rearrange 117*g + 122*g - 323*g - 2 + (-4*g + 2*g - 3*g)*(4 + 0 - 1) to the form a*g + j and give a. -99 Express (-69*z + 49*z**2 + 32*z + 26*z)*(5*z - 5*z - z**2 + (2 - 2 - 2*z**2)*(4 - 4 + 2) - 2*z**2 - 1 + 1) as a*z**2 + k + q*z**4 + c*z + j*z**3 and give q. -343 Express -84 - 12*a**3 + 8*a**3 + 6*a**3 + 19*a**3 + 425 - 425 + (-2*a + a**2 + 2*a)*(-a + 2 - 2) as y + u*a**2 + n*a + i*a**3 and give n. 0 Rearrange -3 + 907372*h**2 - 2*h**3 - 907372*h**2 - 2*h + 1642*h**4 to n*h**2 + r*h + q*h**3 + f*h**4 + v and give r. -2 Rearrange (-3*a**2 + 4*a**3 + 3*a**2)*(-456403 - 363*a + 456403) to the form v*a**4 + y*a + p*a**3 + g*a**2 + i and give v. -1452 Rearrange -1 + 2 - 3*k**4 - k**2 + 5*k**4 + k - 3 - 30*k**3 + 29*k**3 to the form z*k**4 + d*k**2 + f*k + s*k**3 + i and give f. 1 Express -491*k**2 - 466*k**2 - 3*k + 959*k**2 + 21 + 3*k + 119*k**3 as p*k + h*k**2 + d*k**3 + i and give h. 2 Rearrange (r**4 + 4*r**4 + 0*r**4)*(-104 - 22 + 6) to i*r**3 + d + n*r**2 + w*r**4 + m*r and give w. -600 Express -54*q - 77*q - 63*q + (3 + 1 - 6)*(-q + 2*q + 4*q) as t + o*q and give o. -204 Express 2 - 23*r + 19*r**2 + 34*r - 8*r - 6*r as w*r + g + t*r**2 and give g. 2 Rearrange 17 - 98*r**2 - 27 + 10 + (2 - 2 - r)*(9*r - 6*r + 7*r) to the form x*r**2 + m + s*r and give s. 0 Rearrange (-793*m - 20 + 6*m**2 + 792*m - 8*m**4 + 63)*(1 - 5 + 2) to the form t*m + h*m**3 + d + s*m**2 + p*m**4 and give t. 2 Rearrange 4152*n**4 + 2*n**3 + 4128*n**4 - 8307*n**4 - 18*n + n**2 to the form d + p*n**3 + t*n**4 + a*n + s*n**2 and give p. 2 Rearrange 4*f - 7*f - 10*f + (-4*f - 20*f - 10*f)*(1 - 4 - 3) + 2*f + 2 - 2 to the form n + w*f and give n. 0 Express -94 + 90 + p + 2*p**2 - 68 - 2*p + 249 + p**4 in the form w*p**3 + z + h*p**2 + j*p**4 + v*p and give h. 2 Express -155*r + 15555 + 574*r - 2*r**2 + r**3 - 15561 as g*r**2 + m + h*r + c*r**3 and give h. 419 Rearrange (0*m + m - 3*m)*(14406*m - 26392*m + 14374*m)*(1 + 1 + 1) to u*m**2 + j*m + n and give u. -14328 Express (-5 + 1 + 1)*(3 - 3 + 3*u)*(-1111*u + 17378 - 17378) as i*u + a*u**2 + h and give i. 0 Express 37*b**3 - 15*b**3 - 4 + 2*b - 28*b**3 + 4 + 179*b**2 as u*b**3 + q*b**2 + s*b + a and give u. -6 Express -38*u - u**4 - u**2 + 40*u - 22 + 2*u**3 - 1 in the form j*u**3 + d*u**4 + a*u**2 + p + c*u and give c. 2 Rearrange 3*n**3 + 16*n**3 + 3*n + 1 + 4*n**3 - 10*n to r + l*n**2 + b*n + p*n**3 and give b. -7 Rearrange -1899*r**2 + 782*r**2 - 1017*r**2 - 1568*r**2 to w*r**2 + u + c*r and give w. -3702 Rearrange -21*q - 720*q**2 - 675*q**2 - 30*q + 2071*q**2 - 723*q**2 to the form r*q + p*q**2 + f and give r. -51 Express (0*x - x + 0*x)*(-1 - 2*x + 1) + 0*x**2 - 3*x**2 + 2*x**2 + x**2 + 0*x + 0*x + (1275*x**2 + 40 - 41 + 3)*(0 - 3 - 3) as l + m*x**2 + v*x and give l. -12 Rearrange (-151*m + 195*m + 237*m)*(m**2 - m + m) + 3*m**3 + 0*m**3 + m**3 to the form t + p*m + y*m**2 + l*m**3 and give l. 285 Rearrange (-z**2 - 4*z**2 + z**2)*(4*z + 0 + 0) - 6*z**3 + 3*z**3 - 6*z**3 to s*z**3 + p*z**2 + b + m*z and give s. -25 Express (-14742 + 674 + 7342 - 26551 - 6679)*(-2 + 2 - 1)*(-4*q + 3*q + 3*q) in the form s*q + i and give s. 79912 Express 10 - 3 - 7 - 1635*t**3 - 50*t + 52*t + t**2 as c*t**3 + u*t + k + w*t**2 and give c. -1635 Express 16*z**3 - 14 + 6*z**2 - 7*z**3 + 31*z**2 - 2*z - 8*z**3 + z in the form t + i*z**2 + d*z**3 + a*z and give d. 1 Rearrange (-2 + 2 - 2)*(8 + 2 - 1)*(724*k + 5 - 318*k - 291*k) to o + r*k and give o. -90 Express (-4*u**3 + 6*u**3 - 4*u**3 + (6*u - 2*u + u)*(-u**2 + 4*u**2 - u**2))*(-5*u - 4*u + 0*u) in the form o*u**2 + h + j*u + a*u**3 + v*u**4 and give v. -72 Express 66*j**3 + 77*j**3 - 4996 - 2*j + 4995 + 4*j as a*j**2 + s*j**3 + z*j + r and give s. 143 Rearrange -8427 + 16873 - 27*n**2 - 62*n**2 + 4*n**2 - 8435 to the form j*n + k*n**2 + d and give d. 11 Express (1 - 1 + 2)*(2 + 20 - 2)*(-6 + 1 + 4)*(-24 + 10*g + 24)*(-3*g**3 + 3*g**3 - 7*g**3) in the form c + o*g**2 + y*g + s*g**3 + r*g**4 and give r. 2800 Express -824*b**3 + 0*b**4 + 821*b**3 - b**4 - 851*b in the form h*b**2 + g*b**4 + q*b + j*b**3 + k and give g. -1 Rearrange (8315 - 3885 - 1734)*(1 - u - 1)*(-u - u + 0*u) to the form l + c*u + i*u**2 and give i. 5392 Express (158*r + 197*r - 8785 - 356*r)*(2*r**2 - r + r) in the form i*r + m + h*r**2 + d*r**3 and give d. -2 Express 1619*k**2 - 194 - 1617*k**2 - 1884 + 5*k - 5*k in the form a*k**2 + m*k + h and give h. -2078 Express -2*x - x + 2*x + (4*x - 3*x + 0*x)*(4 - 1 - 1) - 4*x + 5*x - 2*x + 2*x - x + 0*x + (-19*x - 23*x - 94*x + 9*x)*(3 + 1 - 5) as c + t*x and give t. 128 Express (-42*m**4 + 95*m**2 - 95*m**2)*(1 + 0 + 0)*(2 + 1 - 4)*(19 - 13 + 16) as s*m**3 + k*m + l*m**2 + h + u*m**4 and give u. 924 Express (46*l**2 - 25*l**2 + 25*l**2)*(-9*l - 2*l + 5*l)*(0 + 0 - 2 + (-4 + 2 + 0)*(-2 + 6 - 2)) as x*l**2 + g + a*l + u*l**3 and give u. 1656 Rearrange -22386*x + 8295*x + 9735*x to b*x + y and give b. -4356 Rearrange 37*d**2 + 231*d + 1310*d**2 - 231*d to g*d**2 + y*d + t and give g. 1347 Rearrange -4*b**3 - 14 - 9*b**3 + 6*b**2 - 4*b**2 + 15*b**3 + 0 to the form z*b**3 + u*b + g + r*b**2 and give r. 2 Rearrange 317*k**3 + 1348*k + 2*k**4 + 1542 - 317*k**3 - 1541 to the form s*k**3 + n + w*k + c*k**2 + o*k**4 and give n. 1 Express -4*z + 5*z + 3*z + (-126 + 44 + 6)*(6*z - 5*z + 5*z) as p + f*z and give f. -452 Express 267*r**2 + 2830442
{ "pile_set_name": "DM Mathematics" }
= 10, -d + 5*d - 5*o + 8 = 0. Let j be (1 - 0)/((-1)/d). What is the third derivative of 7*k + k + k**j - 2*k**3 - 8*k wrt k? -12 Let y(j) = 1. Let v(n) = -n. Let c(h) = -2*v(h) + y(h). Differentiate c(l) with respect to l. 2 Let o(y) = -21*y**3 + 23*y**2 + 3. Let q(z) = 41*z**3 - 45*z**2 - 5. Let f(k) = 5*o(k) + 3*q(k). What is the third derivative of f(l) wrt l? 108 Let b(u) = 44*u**3 - 8*u**2 + 39*u. Let k(p) = -29*p**3 + 5*p**2 - 26*p. Let d(z) = 5*b(z) + 8*k(z). Find the second derivative of d(g) wrt g. -72*g Suppose 0 = -4*n + 20, -3*f = f + n - 13. Suppose 2*i + r = -r - f, 5*r = i - 29. Differentiate -2 + 3*h + 0*h - i*h with respect to h. -1 What is the third derivative of 44*k - 7*k**6 + k**4 + 53*k + k**2 - 119*k wrt k? -840*k**3 + 24*k Let x(q) be the second derivative of q**4/3 + 5*q**3/6 - 15*q**2/2 + 2*q - 38. What is the derivative of x(z) wrt z? 8*z + 5 Let o(k) be the third derivative of 2/3*k**3 + 2/105*k**7 + 0 + 0*k**4 + 0*k**6 - 7*k**2 + 0*k**5 + 0*k. What is the derivative of o(u) wrt u? 16*u**3 Let t(o) = o. Let x(d) = -4*d - 3 + 1 + d + 3. Let m(c) = 4*t(c) + x(c). What is the derivative of m(u) wrt u? 1 Let z(q) = -8*q**2 - 11*q + 7. Let f(u) = 3*u**2 + 4*u - 2. Let b(m) = -11*f(m) - 4*z(m). Find the first derivative of b(p) wrt p. -2*p Let h(x) be the first derivative of 0*x - 1/3*x**3 + 1/2*x**2 - 1. What is the second derivative of h(a) wrt a? -2 Suppose 2*j = 3*n - 6, -n - 3*n = -16. Differentiate 4*c**j + 2*c**4 - 4*c**3 - 4 + c**4 with respect to c. 12*c**3 Find the third derivative of -4*b + 32*b**5 + 3*b + b + 22*b**2 wrt b. 1920*b**2 Let w(f) = -f**6 - 5*f**5 - 5*f**2 - 5*f. Let k(b) = b**6 - b**5 - b. Let m(g) = 5*k(g) - w(g). What is the third derivative of m(u) wrt u? 720*u**3 Differentiate 4 - 4*c**3 - 3 - 15*c**3 + 8 wrt c. -57*c**2 Let x(d) = d + 9. Let n be x(-4). Differentiate 11 - 3*u + n*u - 19 wrt u. 2 Suppose -4*u + 4 = -3*m, -4*u + 28 = 3*m - 0*u. What is the second derivative of -2*r - m*r + 9*r**4 + r**4 wrt r? 120*r**2 Let o be ((-5)/((-50)/3))/3. Let k(v) be the second derivative of 0*v**2 + o*v**5 + 1/12*v**4 + 0*v**3 + v + 0. What is the third derivative of k(n) wrt n? 12 Let s(w) be the second derivative of 0*w**4 + 0*w**5 - 3*w + 0 - 1/10*w**6 + 3*w**2 + 0*w**3. What is the first derivative of s(m) wrt m? -12*m**3 Let q(n) = -7*n**3 - 7. Let m(w) = 20*w**3 + 2 - 26*w**3 - 8. Let c(t) = -5*m(t) + 4*q(t). Differentiate c(y) with respect to y. 6*y**2 Suppose -6 = -4*x - 3*r, 0*x - 19 = -3*x + 5*r. Find the second derivative of -2*p**3 - p**x - 17*p + 21*p wrt p. -18*p Let d(o) be the third derivative of o**7/6 - 2*o**3/3 + 21*o**2. Find the first derivative of d(y) wrt y. 140*y**3 Let n(s) = 10*s**3 - 10*s**2 + 7*s + 29. Let w(i) = 7*i**3 - 7*i**2 + 5*i + 19. Let u(a) = 5*n(a) - 7*w(a). Differentiate u(f) with respect to f. 3*f**2 - 2*f Find the third derivative of -27*j**2 + 20*j**2 + 45*j**5 + 29*j**2 wrt j. 2700*j**2 Find the second derivative of 8*m**4 + 282*m**2 - 8*m - 282*m**2 wrt m. 96*m**2 Suppose -r + 12 = 2*r. Find the second derivative of j**4 + 2*j**4 + 8*j**5 - 3*j**r + 5*j wrt j. 160*j**3 Suppose -3*h - 1 + 7 = 0. Let x(l) = -l + 5. Let j be x(3). Find the third derivative of -h + 3*u**2 + 2*u**5 + j wrt u. 120*u**2 Let m(u) = -u**3 + 9*u**2 - 7*u - 6. Let j be m(8). Let a = -12 + 15. What is the third derivative of r - r**6 + j*r**6 + a*r**2 - r wrt r? 120*r**3 Suppose -5*s = -5*i, 3*i + 1 = -5*s + 17. What is the third derivative of -4*q**3 - 4*q**2 + 0*q**i + 6*q**4 + 4*q**3 wrt q? 144*q What is the second derivative of -9*w**5 + 5*w**4 - 5*w**4 - 7*w + 2*w**5 wrt w? -140*w**3 Suppose -3*n = 9, 2*n + 11 - 1 = u. What is the second derivative of -l - 4*l**4 + u*l**4 + 3*l**5 - l wrt l? 60*l**3 Let b(h) be the third derivative of 3*h**6/40 - h**3/2 - 6*h**2. Find the first derivative of b(n) wrt n. 27*n**2 Let c(o) be the second derivative of 0 - 3*o + 0*o**2 + 0*o**5 - 1/10*o**6 + 0*o**4 - 1/2*o**3. Find the second derivative of c(m) wrt m. -36*m**2 Let t(a) = -a**3 + 8*a**2 - 7*a + 4. Let k be t(7). Differentiate 16 - y**k - 14 + 5*y**4 wrt y. 16*y**3 Suppose -4*r = -2*r. What is the first derivative of -y + r + 2 + 5 - 4 wrt y? -1 Suppose 3*m = 2*m + 4. Find the first derivative of m + 2 - l + 3 - 6 wrt l. -1 Let s = 6 - 6. What is the second derivative of s*r - 4*r + 2*r - r + 3*r**2 wrt r? 6 Let w(n) = n + 1. Let g be w(2). Suppose -2*b + 40 = g*b. What is the second derivative of 4*t**2 + 10 - 2 - b - 3*t wrt t? 8 What is the second derivative of -3*i + 7*i**2 + 6*i + 0*i wrt i? 14 Let o(z) be the second derivative of -11*z**3/6 - 35*z**2/2 - 24*z. Find the first derivative of o(t) wrt t. -11 Differentiate 6 - 18*l**3 + 4*l**3 + 14 with respect to l. -42*l**2 Find the second derivative of -24*z + 9*z**5 + 40*z + 5*z**5 wrt z. 280*z**3 Let s(g) = 27*g**2 + 20*g. Let n(k) = 54*k**2 + 40*k. Let p(r) = 4*n(r) - 7*s(r). Find the second derivative of p(m) wrt m. 54 Suppose y - 3 + 1 = 0. Find the third derivative of -y*w - 4*w**2 - 34*w**3 + 38*w**3 + 2*w wrt w. 24 Let d(q) be the first derivative of 1 + 4 + 2*q**2 - 5*q + 0. What is the first derivative of d(c) wrt c? 4 Let w = -8 - -8. Let s(j) be the second derivative of -j + 0*j**4 + w + 0*j**2 + 1/6*j**3 + 0*j**5 - 1/30*j**6. Find the second derivative of s(y) wrt y. -12*y**2 Let c(n) be the third derivative of n**6/30 - n**5/30 + n**4/24 - 7*n**3/6 + 8*n**2 - 3. What is the second derivative of c(v) wrt v? 24*v - 4 Let n(r) = -26*r**4 + 18*r + 3. Let l(h) = 25*h**4 - 18*h - 2. Let o(y) = -3*l(y) - 2*n(y). Find the second derivative of o(z) wrt z. -276*z**2 Let i(n) be the first derivative of 0*n - 1/2*n**3 - 1 + 2*n**2 - 1/24*n**4. Let o(v) be the second derivative of i(v). Find the first derivative of o(r) wrt r. -1 Let m = -4 - -4. Suppose 5*w + o = 3*o + 3, m = 3*o - 3. What is the first derivative of -w - 2*g - 2*g**3 + 2*g wrt g? -6*g**2 Let u(t) be the second derivative of -8*t - 2/5*t**5 - 2*t**2 + 0 + 0*t**3 + 0*t**4. What is the first derivative of u(v) wrt v? -24*v**2 Let v(a) = -a**3 + 6*a**2 + 6*a + 10. Let s be v(7). Find the second derivative of 4*c**s - 3*c - c**3 - 2*c**3 wrt c. 6*c What is the derivative of -r - 2 + 17 + 0*r - 2 wrt r? -1 Let p(w) = 2*w**3 - 4. Let i(r) = -1. Let j(v) = -2*i(v) + p(v). Differentiate j(o) with respect to o. 6*o**2 Let d(v) be the first derivative of 8 + 0*v**4 - 9*v + 0*v**2 + 0*v**3 + 9/5*v**5. Find the first derivative of d(x) wrt x. 36*x**3 Let g(y) be the first derivative of -5*y**6/6 + 2*y**3/3 + 7. Find the third derivative of g(p) wrt p. -300*p**2 Let b(h) be the first derivative of 4*h**3/3 + 15*h**2/2 - 4. Find the second derivative of b(i) wrt i. 8 Suppose 0 = -h - 2*k + 13, -2*h + 4*k - 7 = 7. What is the derivative of 0*g**3 + 3 + 0*g**3 - h*g**3 wrt g? -9*g**2 Let b(z) be the third derivative of z**7/30 + 7*z**4/24 + 3*z**2. What is the second derivative of b(n) wrt n? 84*n**2 Let k(s) = -s**2 - 11*s - 25. Let b(z) = 2*z + 5. Let m(g) = -11*b(g) - 2*k(g). What is the first derivative of m(v) wrt v? 4*v What is the first derivative of -10*q**3 + 2*q - 10 - 2*q + 7 wrt q? -30*q**2 Let q(i) be the third derivative of i**7/105 - 7*i**6/40 - i**4/6 + 5*i**3/6 - 2*i**2 - 11*i. What is the second derivative of q(m) wrt m? 24*m**2 - 126*m Find the third derivative of -21*q**5 + 3*q**5 - 6*q**2 - 6*q**5 + 27*q**2 wrt q. -1440*q**2 Let p(m) be the first derivative of 13*m**2/2 - 12*m - 9. Differentiate p(d) wrt d. 13 Let p(m) be the third derivative of 0 - 1/30*m**5 - 3*m**2 + 1/3*m**3 + 0*m + 0*m**4. What is the derivative of p(o) wrt o? -4*o Let m(u) = u**3 + u**2 - u + 1. Let h(n) = 2*n**3 + 14*n**2 + 2*n - 2. Let w(r) = -h(r) - 2*m(r). Find the third derivative of w(c) wrt c. -24 Suppose 5*a - 45 = -2*y, -9 = -a - 2*a. Let p = -9 + y. What is the second derivative of p*z - 3*z - 3*z**3 - 5*z wrt z? -18*z Let w(r) be the second derivative of 19*r**6/30 - 10*r**3/3 - r. Find the second derivative of w(k) wrt k. 228*k**2 Suppose -i + 4 = 0, -4*h - i + 44 = -0*i. What is the second derivative of -h*y**4 + 4*y**5 + 10*y**4 + y wrt y? 80*y**3 Let h(a) = 14*a**2 + 36. Let c(w) = -5*w**2 - 12. Let u(g) = 10*c(g) + 3*h(g). Differentiate u(z) with respect to z. -16*z
{ "pile_set_name": "DM Mathematics" }
? 72*x Let l(z) = -8*z**2 - 32*z + 2. Let g be l(-4). Find the first derivative of 145*c**2 - 69 - 40 - 115*c**g wrt c. 60*c Let m(u) be the second derivative of 103/12*u**4 + 0*u**2 + 3 - 1/10*u**5 - 11*u + 107/30*u**6 + 0*u**3. Find the third derivative of m(b) wrt b. 2568*b - 12 Let w(s) be the second derivative of 0*s**2 - 12/7*s**7 - 3*s + 1/6*s**3 + 0*s**6 + 0*s**5 - 7/4*s**4 - 15. What is the third derivative of w(y) wrt y? -4320*y**2 Let l(q) = -154*q**3 + 2*q**2 + 141. Let z(a) = -308*a**3 + 5*a**2 + 280. Let c(g) = 5*l(g) - 2*z(g). Differentiate c(f) wrt f. -462*f**2 Let v(k) be the third derivative of -11*k**5/30 - 2*k**4/3 - 611*k**3/6 - 960*k**2. What is the derivative of v(z) wrt z? -44*z - 16 Let u(n) = 4*n**2 - 19*n - 24. Let f be u(16). What is the third derivative of -2*k**2 - f*k**4 + 696*k**4 + 83*k**5 + 94 wrt k? 4980*k**2 Let j(g) = -13*g**2 + 146*g + 1983. Let q(l) = -16*l**2 + 147*l + 1979. Let z(h) = -4*j(h) + 3*q(h). What is the derivative of z(b) wrt b? 8*b - 143 Find the third derivative of 12*a**4 + 4*a**6 + 477*a**3 - 478*a**3 + 13*a**4 + 2151*a**2 - 696*a**2 wrt a. 480*a**3 + 600*a - 6 Let n(a) be the third derivative of 2733*a**5/20 + 65*a**4/8 - 13*a**3/6 + 6*a**2 - a + 729. What is the second derivative of n(h) wrt h? 16398 Let c be (-10)/((-10)/(-3)) - (-26)/2. Let m be (c*12/15)/(2 - 1). Find the third derivative of 5*a**2 - 3*a**2 - 26*a**4 - m*a**2 + a**2 wrt a. -624*a Let q(p) = p + 20. Let a be q(-10). Suppose -2*k - a = -0, -g + k = -13. What is the second derivative of -38*i - 179*i**3 + g*i + 167*i**3 - i**2 wrt i? -72*i - 2 Let l(g) = -5 - 4 + 2*g + g + 29*g**2. Let w(m) be the first derivative of 10*m**3 + 2*m**2 - 8*m + 789. Let p(c) = -4*l(c) + 3*w(c). Differentiate p(z) wrt z. -52*z What is the second derivative of 224*p**2 - 4569*p - 4*p**3 - 4*p**3 - 1067*p wrt p? -48*p + 448 Let o(k) = -2047*k**2 - 30*k - 5878. Let r(f) = 5*f + 1. Let w(q) = o(q) + 6*r(q). Find the first derivative of w(m) wrt m. -4094*m Let d be -2 - (0 - (2 + 220)). What is the second derivative of 31*b**5 - d + 26*b**5 + 219 - 34*b wrt b? 1140*b**3 Let y = 13 + -3. Suppose 0 = -24*x + 29*x - y. What is the second derivative of 49*f**x - 4*f + 0*f - 37*f**2 wrt f? 24 Let u(k) be the second derivative of k**2 + 7*k - 24 - 43/4*k**4 - 37/6*k**3. What is the second derivative of u(p) wrt p? -258 Suppose 6 = 22*u - 38. Find the third derivative of -29*f**2 - 44*f + 28*f**u - 70*f**3 - 32*f**3 wrt f. -612 Let j(f) be the second derivative of -5*f**5/4 - f**4/12 + 440*f**3/3 + 8396*f. Find the second derivative of j(l) wrt l. -150*l - 2 Let v(m) be the second derivative of 0 + 13/30*m**6 + 0*m**5 + 0*m**2 - 176*m + 5/12*m**4 - 115/6*m**3. Find the second derivative of v(n) wrt n. 156*n**2 + 10 Let t(l) be the third derivative of 923*l**6/120 - 2399*l**3/6 - 813*l**2. Differentiate t(m) wrt m. 2769*m**2 Let c be (-3)/(-2)*(-9)/((-27)/2). Let j be (-5 + (4 - c))/(4/(-6)). Find the second derivative of 279*u**3 - 554*u**j + 23*u + 286*u**3 wrt u. 66*u What is the third derivative of -2*i**2 - 59382*i**5 + 56690*i**5 + 4*i**2 + 491 wrt i? -161520*i**2 Differentiate -9 - 533*b - 107*b**3 - 109*b**3 + 3 + 333*b**3 - 115*b**3 with respect to b. 6*b**2 - 533 Let k(j) be the first derivative of -14*j**2 + 5*j - 31. Let l(y) = 26*y - 6. Let n(a) = -4*k(a) - 5*l(a). What is the derivative of n(b) wrt b? -18 Let j(y) = 2349*y**2 - 39*y + 5517. Let r(b) = 1174*b**2 - 18*b + 2760. Let w(l) = -6*j(l) + 13*r(l). Differentiate w(x) wrt x. 2336*x Suppose 0 = 4*g - 4*d + 20, -230*d + 30 = 2*g - 227*d. Let m(y) be the first derivative of -17/3*y**g + 25 + 0*y**2 + 11*y. Differentiate m(t) wrt t. -34*t Let g(d) = 175*d**2 - 13*d - 24. Let f(h) = 177*h**2 - 15*h - 23. Let i(p) = -4*f(p) + 5*g(p). Find the second derivative of i(a) wrt a. 334 Let y(p) = p**2 + 19*p + 33. Let u be y(-17). Let t(r) = r + 4. Let b be t(u). Find the third derivative of 0*j**6 + 31*j**2 + b*j**6 + 11*j**6 wrt j. 1680*j**3 Let f(x) = -x**3 - 7*x**2 - 11*x + 3. Let c be f(-2). Find the third derivative of -3192*k + 2 + 3192*k - 24*k**4 + k**c + 3*k**2 wrt k. 60*k**2 - 576*k Let d(y) be the second derivative of 2047*y**3/3 + 2053*y**2/2 + 8*y - 53. What is the derivative of d(k) wrt k? 4094 Let c(v) be the second derivative of -249*v**7/14 + v**3/2 - 109*v**2/2 - v + 699. Find the second derivative of c(i) wrt i. -14940*i**3 Let y(o) be the second derivative of -41*o**6/10 + 2*o**4/3 + 49*o**3/6 - 719*o. What is the third derivative of y(f) wrt f? -2952*f Let u(n) be the first derivative of 85*n**7/21 + 77*n**3/6 + 100*n - 35. Let y(z) be the first derivative of u(z). What is the second derivative of y(j) wrt j? 3400*j**3 Let a(m) be the second derivative of -1475*m**3/6 + 676*m**2 - 1558*m. What is the derivative of a(n) wrt n? -1475 Let v(h) be the first derivative of 32*h**6/3 + 19*h**3/3 - h**2/2 - 378*h - 441. Find the second derivative of v(d) wrt d. 1280*d**3 + 38 Let o = -37 - -27. Let c(u) = -u**3 - 2*u**2 + 16*u - 2. Let a be c(o). What is the third derivative of a*w**6 - 4*w**2 + w**2 - 629*w**6 wrt w? 1080*w**3 Let c(y) be the second derivative of -1251*y**4/4 - y**3/3 + 208*y**2 + 4011*y. What is the second derivative of c(r) wrt r? -7506 Let s(f) be the third derivative of -f**8/168 - 13*f**7/210 + 37*f**5/60 - 41*f**4/6 - f**3/3 - 98*f**2 + 7*f. What is the second derivative of s(o) wrt o? -40*o**3 - 156*o**2 + 74 What is the third derivative of -327*j**3 + 719 - 105*j**3 - 2*j**2 - 56*j**3 + 86*j**3 wrt j? -2412 Suppose -5*h + 216 = 4*h. Suppose -3*s + 7*s - h = 0. What is the third derivative of 17*w**2 + 10*w**6 + w**6 - 2*w**6 - 3*w**s wrt w? 720*w**3 Let h(l) be the third derivative of -l**6/60 - 757*l**4/24 - 1427*l**3/2 - 3733*l**2. Differentiate h(s) wrt s. -6*s**2 - 757 Let s be 8 + (-2)/(((-54)/(-24))/9). Let o(d) be the first derivative of 0*d**3 + s*d + d**4 - 3/2*d**2 - 12. What is the second derivative of o(b) wrt b? 24*b Suppose -73*a + 65*a + 32 = 0. Find the second derivative of -99*d - 3 - 89*d + 200*d + 63*d**a wrt d. 756*d**2 Let a = 1609 - -829. Find the second derivative of -a + 2438 + 48*g**4 - g**5 - 66*g + 0*g**5 wrt g. -20*g**3 + 576*g**2 Suppose 5*k + 210 = 225. Find the third derivative of 2 - 41*i**2 - 22*i**k - 62*i**5 + 22*i**3 - 2*i**3 wrt i. -3720*i**2 - 12 Suppose -a = -2, -p - 10 = 5*a - 26. Differentiate 2*x**3 + 11 - p*x**3 + 5 + 19 - x**2 with respect to x. -12*x**2 - 2*x Let q(o) = -o - 8. Let c(g) = -2*g**2 + 10*g - 2. Let r be c(6). Let l be q(r). What is the second derivative of 43*w - 15*w + 0*w - l*w + 46*w**2 wrt w? 92 Suppose 8*w - 255 = -9*w. Find the third derivative of 6*g**2 + w - 10 + 28*g**4 - 6*g**4 + 11*g**4 wrt g. 792*g Let a(u) = 3*u - 4. Let x be a(3). Suppose 3*c = -5*q + 41, -43 = -x*q + q + c. Find the second derivative of -36*o + 16*o**4 + q*o**4 + 12*o - 4*o**4 wrt o. 264*o**2 Let a(u) = -13524*u**2 + 20*u + 5079. Let d(x) = 27046*x**2 - 36*x - 10162. Let l(i) = 9*a(i) + 5*d(i). Differentiate l(n) wrt n. 27028*n Suppose 124 = 4*q - 2*h, -62 = -2*q + 2*h + 3*h. Find the second derivative of -8 - 44*m**5 + 26 - 6 - 10 - q*m wrt m. -880*m**3 Let c be 36/3 - (17 - 9). Let p = 9 + -4. What is the second derivative of 105 + 9*g + c*g - 105 - 5*g**p wrt g? -100*g**3 Let r(l) be the first derivative of 4*l**6/3 - 87*l**2/2 + 52*l + 49. Let i(v) be the first derivative of r(v). Differentiate i(y) wrt y. 160*y**3 Let s(r) be the second derivative of 0*r**3 + 0*r**5 + 28/15*r**6 + 114*r + 0 + 0*r**4 + 47*r**2. Differentiate s(h) wrt h. 224*h**3 Let d(u) = -10*u + 183. Let n be d(18). Find the third derivative of 103*z**3 + 39*z**2 - 105*z**3 + 92*z**3 + 158*z**n - 1 - 9*z**2 wrt z. 1488 Let b = 411 - 409. What is the derivative of 36 - 130*m**2 + 133*m**4 - 29*m**4 - 2*m**3 + 130*m**b wrt m? 416*m**3 - 6*m**2 What is the second derivative of 110*a**2 - 7281*a - 26*a**5 - 3*a**4 - 21*a**5 - 28*a**2 - a**4 + 49*a**5 wrt a? 40*a**3 - 48*a**2 + 164 Let o(q) be the first derivative of 20 + 19/2*q**4 + 0*q - 18*q**3 + 0*q**2. Find the third derivative of o(i) wrt i. 228 Suppose -238*b + 237*b = -19. Suppose b = 2*g + 3*v - 39, -5*v + 15 = g. What is the first derivative of -g - 31*z**3 + 22 - 28 wrt z? -93*z**2 Le
{ "pile_set_name": "DM Mathematics" }
6, -a + 75 = -n + 2*n. Is n composite? True Let d(l) = l**3 + 4*l + 10*l - 10 - 9*l**2 - 1. Let b be (1 + -3 - 7)/(-1). Is d(b) a composite number? True Suppose 14 = 2*i - 10. Suppose i*x = 8*x + 2012. Is x composite? False Let s = -168 - -257. Is s composite? False Let l(m) = -m**3 + 0*m**3 - m - 7*m**2 - 7*m + 2. Is l(-6) prime? False Is 4*(3 + (-725)/(-20)) a prime number? True Let w(c) = -56*c - 19. Is w(-6) composite? False Suppose 2*o = 3*o + 4*d - 7, 2*o - 2*d = 34. Let t = o - -79. Is t a composite number? True Let s = 1497 - 796. Is s a composite number? False Let n(d) = -d**3 - 7*d**2 + 13*d + 8. Let b be 22*-1*3/6. Let v = 2 + b. Is n(v) a prime number? True Suppose 12 = -2*r + 4*a, 5*r + 2*a = 7*a - 25. Is 2 - r/(4/35) composite? False Suppose -4*x = -5*x - 5. Is 30/12*(-654)/x a composite number? True Let v(j) = 2*j**2 + 5*j + 1. Let q be v(-5). Suppose -5*l = q - 76. Is l a composite number? True Let a = 1 - 0. Suppose -a + 21 = 5*b. Let n = b - 0. Is n composite? True Let k(q) = -q**2 - 20*q + 8. Is k(-15) a composite number? False Let z = -2 - 1. Let w(n) = -23*n. Is w(z) prime? False Is (-5571)/(-21) + (3 - 69/21) a composite number? True Let g(p) = 76*p + 9. Is g(7) prime? True Suppose 0 = -2*g - 2*g. Suppose 3*x - 2*x - 3 = g. Suppose 3*a + 12 = 0, -5*q - a + 649 = x*a. Is q a prime number? False Suppose 2*h + 12 + 8 = 4*b, -3*b + h = -14. Suppose 3*c = -3*v + 150, b*v - 4*c - 235 = -c. Is v prime? False Is ((-3)/(-9))/(-1 + 800/795) a composite number? False Is 28/(-70)*(-1 - -11) - -2945 prime? False Suppose 4*o = -5*v + 165, -4*o - v + 183 = 6. Suppose 0 = -0*w - 3*w + o. Is w a prime number? False Let q = -114 - -431. Is q composite? False Suppose -266 = -4*d + 1082. Is d composite? False Suppose 0 = 4*r - 8*r + 3*g + 15, -5*g = 5*r - 10. Let q(f) = -3*f**3 + 1 + 6*f**r + 7*f + 0*f**2 - 4*f**3 - 4*f**2. Is q(-6) composite? False Let a(w) = -21*w. Let f(c) = c + 6. Let g(v) = 2*v + 7. Let n(l) = 3*f(l) - 2*g(l). Let s be n(5). Is a(s) composite? True Suppose -2*d - 90 = -4*d. Let y be d/6*48/5. Suppose 4*o = 332 - y. Is o a composite number? True Let a = 275 + -136. Suppose -2*b = -10, -x - 4*b + a = 30. Is x prime? True Let u(g) = 7*g**3 - 2*g**2 + 1. Let h be u(3). Let j = -31 + h. Is j prime? False Let o(x) be the second derivative of -x**8/6720 - x**7/1260 - x**6/360 - x**5/120 + x**4/12 - x. Let r(f) be the third derivative of o(f). Is r(-4) composite? True Is (-24028)/(-10) + -4 + 1/5 a composite number? False Let n(b) = -3*b**3 + 8*b**2 + 9*b + 7. Is n(-6) composite? True Suppose -2*o - 2*q + 3*q + 2366 = 0, -3*o = -q - 3547. Is o a prime number? True Suppose -m = 2*w - 21, 4*w = -m + 4*m - 113. Is m a prime number? True Is 4/(-6)*641*(-3)/2 a prime number? True Let m = 9 - -37. Let a be 1/(2*1/54). Let q = m - a. Is q prime? True Suppose -7*h - 598 = -9*h. Is h composite? True Let q(a) = -a**2 + 271. Is q(0) prime? True Let l be -1*1 + (44 - -1). Suppose -3*r - 2*r - 5*f + 120 = 0, -l = -r - 5*f. Is r composite? False Let y be (-11)/5 - 2/(-10). Is y*(573/2)/(-3) prime? True Let m(z) be the first derivative of 4*z**3/3 + 3*z**2/2 + z - 4. Let i be m(4). Is (i/3)/(8/24) composite? True Let x be -1 - (-1 - (-2 + 2)). Let t be 2*(x - 149/(-2)). Suppose -4*a = -3*a - t. Is a composite? False Let k = 2027 - 318. Is k a prime number? True Suppose 3*l - 14 = -2. Let a be 1 - l/(-1) - -2. Suppose -4*i = -219 + a. Is i a composite number? False Let p(s) = -27*s + 9. Let c be p(-7). Suppose -54 - c = -3*v. Suppose 4*m = m + 2*t + 83, -4*t + v = 4*m. Is m a prime number? False Let q(d) be the third derivative of d**5/60 - d**4/8 - 3*d**3/2 - d**2. Is q(-13) prime? True Is ((-19)/3)/((-4)/60) composite? True Suppose -4*h + 0*c + 163 = -5*c, -5*h = -5*c - 200. Is h a composite number? False Suppose -2*w - 2*w = -1292. Is w a prime number? False Suppose -4*j + 9976 = -4*x, x = -3*x + 4. Is j prime? False Suppose -4*h - 10 = 38. Let w = h + 2. Is (2/3)/(w/(-3885)) composite? True Suppose 5*s - 264 = 4*s. Let a = -97 + s. Let t = a + -114. Is t composite? False Let s(d) = 0 - 3*d + 0. Suppose 2*v + 8 = 2*b, 3*v = 2*v - 4*b - 19. Is s(v) a prime number? False Suppose 6*k - 171 = -3*k. Is k a prime number? True Let y(k) = k**2 - 7*k - 4. Is y(-6) composite? True Let o(g) = -g**2 - 7*g - 18. Let z(r) = r**2 + 6*r + 19. Let f(p) = -4*o(p) - 3*z(p). Is f(-14) composite? False Is (-487)/(-1) + (6 - 8) a prime number? False Let t(c) = 88*c + 17. Is t(19) prime? False Let q(i) = 3*i**2 - 4*i + 1. Let g be q(2). Suppose 0 = -5*b + 4*b + 26. Let x = g + b. Is x a prime number? True Suppose 5*o - 4*a = -612 + 4023, -2*a - 687 = -o. Is o a composite number? True Suppose -r = -122 - 101. Is r a prime number? True Let p = -92 - -168. Suppose -n - n = -p. Is n a composite number? True Let r(w) = 19*w**2 - w - 1. Is r(-2) a composite number? True Is -1366*2/4*(5 + -6) composite? False Suppose -3*y = 18 - 0. Let c(g) = 21*g**3 + 28*g**2 + 33*g + 20. Let m(v) = 5*v**3 + 7*v**2 + 8*v + 5. Let x(j) = 2*c(j) - 9*m(j). Is x(y) composite? True Suppose 0 = -4*m + 9 + 83. Is m composite? False Let h = -167 - -358. Is h a composite number? False Let v(d) = d**2 + 7*d + 6. Let b be v(-6). Suppose -5*p = -b*p. Suppose l + p = 10. Is l a prime number? False Suppose 9174 = 9*p - 3*p. Is p composite? True Let x = -15 + 20. Suppose 3*v = o, -60 = -x*o + 2*v + 5. Is o a prime number? False Suppose -3*b = -2*x + 12, -5*b - 8 = -3*x + 12. Suppose 0 = -x*q + 2*q - 26. Is q a composite number? False Let x(l) = -4*l - 4*l**3 + l**3 - 2 - 4*l**2 + l**3. Let p be x(-2). Is (-15)/(-4)*(-2 + p) a prime number? False Suppose 0 = -4*z - 3*i + 24, -4*i - 18 = -3*z - 0*i. Let y be (1 + -11)*(-3)/z. Is (-170)/(-25)*(y - 0) a composite number? True Let a = 16 - 7. Let n = 13 - a. Suppose 4*q = g + 1, -2*g + 6*q - q + n = 0. Is g prime? True Let c(o) = 20*o**2 + 3*o + 8. Is c(-5) a composite number? True Suppose -n - j + 4 = -1, 3*j = -n + 7. Let i(k) = 20*k**2 + k + 5. Is i(n) a composite number? True Suppose 5*t - 20 = -55. Let l(k) = -7*k - 12. Is l(t) a composite number? False Let z = 858 - 607. Let n be 12/9*(-3)/2. Is z - (1 + n + 1) prime? True Let l = -7 - -3. Let p(k) = -2*k**3 + k**2 + k - 2. Let n be p(l). Let t = n - 11. Is t prime? True Suppose 0*f - 16 = 4*f. Is (-1 + -73)/(f/10) a composite number? True Let g(t) = t**3 - 6*t**2 + 2*t - 8. Let h be g(6). Suppose -2*a - 20 = 3*z - 64, -a - h*z = -17. Is a prime? False Let z(r) = 5*r**3 - 2*r**2 + 2*r - 1. Let t be z(1). Suppose -4*u = t, 4*c + 5*u = -97 + 352. Is c prime? False Let u = 2 - 5. Suppose 0 + 6 = -2*m. Is u*m/((-9)/(-21)) a composite number? True Suppose -v + 3449 = 5*k, k - 2*v + 4*v - 688 = 0. Suppose k = 3*l - 63. Is l prime? True Let q(b) = -2*b**3 - b**2 - 3*b - 1. Let m be q(-3). Let d be m - (-1 + (3 - 4)). Let i = 104 - d. Is i a composite number? True Suppose 401 + 399 = 4*j. Let m = j - 133. Is m a prime number? True Suppose -6*u + 261 = -3*u. Is u a composite number? True Let b(i) be the third derivative of 11*i**5/30 - i**4/6 - i**3/6 - i**2. Suppose -3*y + u + 10 = 0, y + 4*u - 16 = -y. Is b(y) a prime number? False Let z(d) = d**3 + 4*d**2 - 3. Let n be z(-3). Let h be n/(-5)*(-4850)/(-15). Is h/(-10) - (-9)/45 composite? True Let a(h) = 27*h**3 + 2*h**2 - 15 + 7 + 11 - 2*h. Is a(2) a prime number? True Let m = -26 + 50. Let x = m + 9. Suppose -5 = s + 3*z, -5*s - z + x = -12. Is s a composite number? True Let a(t) = 93*t**2 - t. Let p(g) = -g**2 + 6*g - 1. Let c be p(6). Let b be a(c). Is (-5)/15 - b/(-3) prime? True Suppose 0 = 5*c + 276 - 916. Let o = c + -64. Let q = -27 + o. Is q composite? False Let y(v) = 5*v - 12. Suppose -4*m + 5*k + 36 = 0, 2*k = 3*m + 18 - 45. Is y(m) composite? True Let c(l) be the third derivative of l**5/30 + l**3/6 - 2*l**2. Is c(2) a prime number? False Suppose -2*m = -5*s - 1278, 2*m + 8*s - 1318 = 3*s. Is m a composite number? True Let i(k) = k**3 - 7*k**2 - k + 8. Let n be i(7). Suppose n = 4*l - 15. Is (-2)/l - (-156)/8 prime? True Let x = -3 - -6. Suppose i - x*i - 30 = 0. Is (i/(-6))/(1/86) a prime number? False Suppose 0 = 7*x - 4*x - 9. Suppose 2*o + 202 = x*o. Is o a composite number? True Let t(n) = n**3 + 4*n**2 + 4. Let k be t(-4). Suppose
{ "pile_set_name": "DM Mathematics" }
6)) + -7. Let q = 4 + l. Give z(q). 10 Let r(m) = 2*m - 1. Let k(i) = -11*i + 6. Let s(b) = -k(b) - 5*r(b). Give s(-7). -8 Let i(f) = -3*f**3 - 7*f**2 + f - 5. Let l(u) = -5*u**3 - 13*u**2 + u - 9. Let j(w) = -7*i(w) + 4*l(w). Determine j(4). 3 Let c(x) be the second derivative of -x**3/3 + x**2/2 - 4*x. Suppose 2*s - s = 7. Suppose -2*t + s = -0*t + g, -2*t = -3*g - 3. What is c(t)? -5 Let u(k) = -4*k - 8. Let o(x) = -x. Let f(m) = -5*o(m) + u(m). Let t = 24 - 26. Let l be 5*t*(-2)/4. What is f(l)? -3 Suppose -2*a - 5*x = -28, -a + 4 = -5*x + 20. Let k(j) = -j**3 - a*j - 6*j + 11*j + 1 + 3*j**2. Determine k(3). 4 Let w be 1/(-4) + (-27)/4. Let y be (-12)/84 - 1/w. Let x(r) = -r**2 + r - 8. Give x(y). -8 Let y(l) = l - 1. Let x = 1 + -8. Let z = x + 2. Let o = 5 + z. Calculate y(o). -1 Suppose 3*b - 8*b = -20, -5*b = -4*k - 16. Let h(d) = 19*d**2 - d + 1. Calculate h(k). 19 Let q(s) = -7*s**3 - 6*s**2 - 5*s + 4. Let v(t) = t**3 + t**2 + t. Let z(g) = q(g) + 6*v(g). Suppose 2*a + a = 0. Give z(a). 4 Let z be -5*((-24)/10 - -2). Let h(c) = -1 - 2*c + z*c - c. Determine h(3). -4 Let v(a) be the second derivative of -a**5/20 + a**4/4 - a**3/6 + 2*a**2 - 5*a. Calculate v(3). 1 Let i be (-1)/((6/4)/(-3)). Suppose -5*x = 5*g + 15, i*g + x = -0*g - 3. Let v(d) = d**2 + d + 1. Calculate v(g). 1 Let q(z) = z**3 + 4*z**2 + 5. Suppose -24 = 3*h + 3*h. Calculate q(h). 5 Let l(z) = 3*z + 4. Suppose 15 = 2*v - 7*v. Let b be -3 - v - (3 - -1). Give l(b). -8 Suppose 0 = -3*v + 7 + 2. Let r(q) = -q - 1. Let t(z) = 4*z + 7. Let i(k) = -10*r(k) - 2*t(k). Give i(v). 2 Let r be -2*(-4)/((-24)/15). Let z(j) = -2*j - 2. What is z(r)? 8 Let t(o) = o**3 - o + 1. Let l be t(0). Let y(k) = -11*k**3. Give y(l). -11 Let y(c) be the second derivative of c**5/60 - c**4/24 + c**3/3 + c**2 + 4*c. Let v(x) be the first derivative of y(x). Give v(2). 4 Let f(m) = -m**2 + 6*m - 2. Let j be -4 + 1 + 1 + 6. Give f(j). 6 Let b = 8 + -6. Let h(o) = -4*o**b + 3*o**3 + 1 + 0*o**3 + 0*o - 2*o**3 + 3*o. Give h(3). 1 Let d be ((-14)/4)/(3/6). Let x(b) be the third derivative of -b**5/60 - b**4/4 + b**3/3 + 4*b**2. What is x(d)? -5 Let g(y) be the first derivative of y**4/8 - y**3/6 + y**2 + 3. Let w(l) be the second derivative of g(l). Let f be (2/(-2))/((-2)/4). Give w(f). 5 Let t(b) be the third derivative of -b**5/60 + b**4/4 - b**3/3 - 35*b**2. Give t(4). 6 Let a = 1 + 1. Let y(l) = -l + l**3 + 4 - 4*l**2 + a*l - 2. Determine y(3). -4 Let c(b) = 0 + 4*b + 2*b + 5 + 0*b - b**2. Determine c(6). 5 Suppose -1 + 26 = 5*n, 2*n - 11 = o. Suppose -5*g + 2*g + 6 = 0. Let v(f) = -f + 4*f**2 - g*f**2 + 2*f**2 - 1. Give v(o). 4 Let c(l) be the second derivative of -3*l**3/2 - 3*l**2 - l. Let b(k) = -1. Let y(t) = -5*b(t) + c(t). Let r(j) = j - 1. Let d be r(0). Give y(d). 8 Let r(d) = d**3 - 7*d**2 - 7*d - 6. Let q be r(8). Let s(k) = 1 + 0 + 3 - q + k. Calculate s(-6). -4 Let a(n) = -6*n - 3. Suppose 3*c = 2*v - 2 - 13, -2*c = 5*v + 10. Suppose -3*y - 2*y - 10 = v. Give a(y). 9 Let b(g) = -5*g - 3. Suppose 2*o + 0*o - 3*c + 5 = 0, -5*c = 2*o - 19. Suppose 8 = o*t - 6*t. Give b(t). 7 Let x = -22 + 17. Let y(l) = -6*l + 4*l + 3*l. Determine y(x). -5 Let r(k) = -k**2 + k. Let j(m) = 5*m**2 - 6*m + 2. Let d(i) = -j(i) - 6*r(i). Let s be (-1)/(2*3/18). Give d(s). 7 Let x(z) = -z**3 - z**2 + 2*z + 1. Let u(d) = d**3 + 5*d**2 + 2. Let r be u(-5). Let p = 1 + -4. Let s be p/r*4/(-3). Give x(s). -7 Suppose 4*d + 6 = 3*q, -q + 2 = 4*d - 0. Let t(n) = 3 - 4 - n**q - 3*n + 0*n**2. Calculate t(-2). 1 Let y(l) = -l. Let d = 16 + -13. Let i = -6 + d. Determine y(i). 3 Let r(c) be the third derivative of c**5/30 + c**4/3 - 5*c**3/6 - 25*c**2. What is r(-6)? 19 Let y(k) be the second derivative of -k**5/20 - 5*k**4/12 + 7*k**3/6 + 5*k**2/2 + 7*k. Let l be -2*(-3)/9*-9. Give y(l). -1 Let g(n) = 4*n**3 - 2*n**2 + n. Let x = 1 - 5. Suppose d = 4*o - 9*o - 8, 2*o + 4*d = 4. Let c be (-6)/x*o/(-3). Calculate g(c). 3 Suppose 0 = 2*d - 4*d + 4. Let z(y) = 2*y**2 + y**2 + 0*y**d - y. Suppose 0 = -j + g - 4, 3*j - 2*g = -9 - 0. Give z(j). 4 Let w(v) be the first derivative of v**5/20 - v**4/3 - v**3/2 - 5*v**2/2 + 6*v + 4. Let l(d) be the first derivative of w(d). What is l(5)? 5 Let y(i) = -i**3 - i**2 - i - 3. Let l(x) = -x - 6. Let h be l(-6). What is y(h)? -3 Let w = -12 - -7. Let j(p) = -3*p**2 - 7*p + 2*p**2 - 5 - 2. What is j(w)? 3 Suppose -4*b - 4 = -3*b. Suppose 5*j - q - 22 = 0, 4*j - 4*q - 11 = -3. Let s = b + j. Let a(f) = 7*f**3 - f**2. Determine a(s). 6 Suppose 0 = -5*s + 3*j - 8*j + 45, s + 2*j = 14. Let w(v) = 4 + 2*v - 5*v + s*v + 0*v. Give w(3). 7 Let d(o) = -o**3 - 3*o**2 + 1. Let h = -2 + 1. What is d(h)? -1 Let s(d) = -d**3 - d - 7. Suppose 2*n = h + 5, 0*h - 20 = -5*h - 5*n. Let v be (h - (-1)/(-2))*0. Give s(v). -7 Let w(l) = -15 + 6*l**2 + 5*l - 1 + 9 + l**3. Suppose 1 + 9 = -2*c. Determine w(c). -7 Let x(l) = 4*l**3 + 3*l**2 + l + 10. Let w(s) = 11*s**3 + 10*s**2 + 4*s + 29. Let c(h) = 3*w(h) - 8*x(h). Give c(-5). 12 Let g(v) = 64*v - 2 - 3 - 33*v - 30*v. Give g(5). 0 Suppose -2*y + 10 = -j, -y = 6*j - 2*j + 4. Let z(f) be the third derivative of f**5/60 - f**4/8 - f**3/3 - 3*f**2. Calculate z(j). 8 Let s(z) = z**2 + 5*z + 3. Suppose 5*a - 4 - 6 = 0, 4*a + 27 = 5*i. Let q = i - 5. Let m(k) = k**2 - 6*k + 3. Let b be m(q). What is s(b)? 3 Suppose -60 = 6*v + 9*v. Let h(y) = -6 + 0*y**3 - 4*y + 0*y**3 + y**3 + 3*y**2. Calculate h(v). -6 Suppose 8*b - 2 = 3*b - u, 0 = 3*u - 6. Let p(r) = r + 4 + 5 + b*r - 1. Determine p(-8). 0 Let h(i) = 46*i**2 - 2*i - 3*i - 45*i**2 - 5. What is h(6)? 1 Suppose 4*q - q = 0. Suppose -9 - 3 = -4*v, 0 = 4*p - 3*v + 1. Let j(d) = -3*d + d**p + 3*d**3 - 4*d**3 + 2*d + 9. Give j(q). 9 Suppose 0 = 3*g - 0*g + 15. Let b(k) = -k**2 - 3 - 7*k + 7*k**2 - 4*k**2 - 3*k**2. Calculate b(g). 7 Suppose 2*j = 4*p + 4, 0*j = -2*j - 4*p - 4. Suppose j = 4*z - z + 6. Let w(b) = b**2 - b - 2. Determine w(z). 4 Let q = 2 - 1. Let w be 12/(-16)*(-3 - 1). Let t be -2 - (-5 + (w - q)). Let n(u) = -u + 1. Calculate n(t). 0 Let w(h) = 3*h + 6 - 6. Suppose 4*x = -0*x. Suppose -2*y - y + 6 = x. Give w(y). 6 Suppose -5*q = 3 - 13. Suppose 5*h - 23 = u + q*u, -5*u = 5. Let l(n) = 3*n - 6. What is l(h)? 6 Let w(t) = -t**3 - 4 + 12*t**2 - 6*t**2 + 8*t - 5. What is w(7)? -2 Let y(c) = -3*c + 3. Let j be y(-3). Suppose -12*b + 34 = -14*b. Let p = j + b. Let v(q) = -3*q - 7. Determine v(p). 8 Let u(d) be the second derivative of d**6/720 + d**5/120 + 5*d**4/12 - 2*d. Let g(p) be the third derivative of u(p). What is g(6)? 7 Let q(c) = -3 - 4*c + 2*c + c + c**2 - c. Give q(5). 12 Let b(u) = u + 7. Let p(o) = 2*o + 4. Let g be p(-2). Suppose g = 11*a - 12*a - 6. Give b(a). 1 Let d(g) = g**2 + 8*g + 9. Let o be d(-6). Let a = -1 + 3. Let r(m) = -5*m + a*m + m + 3*m. Give r(o). -3 Let d(k) = 2*k - 4. Let b be (5/(-2) + 2)*-4. Suppose b*j - 8 = -0*j. What is d(j)? 4 Let r = -4 + 2. Let z = 3 - r. Suppose -3*m + 3 = -2*j + 5*j, -z*m + 2 = 4*j. Let v(k) = -2*k - 3. Give v(m). 1 Let r(g) = g - 1. Let j(f) = f**3 - 5*f**2 - 5*f. Let b = -9 + 8. Let v(m) = b*j(m) + 3*r(m). Give v(6). 9 Suppose -b - 6 = -3*u + 5, 7 = 5*u + 4*b. Let c(n) = 3*n**2 - 2*n + 3. Let r(f) = 2*f**2 - f + 4. Let p(a) = u*c(a) - 4*r(a). Determine p(5). 8 Let o = -9 - -15. Suppose -3*c + 6*c + o = 0. Let v(l) = -1 + 2 - 4*l**2 + 3*l**2. Give v(c). -3 Let j(u) = -u**3 - 5*u**2 + 7*u + 6. Suppose 4*w = 8 - 32. Give j(w). 0 Let o(w) = w**3 + 4*w**2 + w - 3. Let s be o(-3). Suppose -s*n + 1 = 13. Let m(j) = 2 + j**2 - j + 7*j + 4. What is m(n)? -2 Let g(r) = r**2 + r - 1. Let z(i) = i**2 + 4*i - 1. Let x be z(-7). Let u = x - 22. Determine g(u). 1 Let x(c) = -5*c + 1. Let j(h) = 5*h - 6*h + 1 - h. Let l be j(1). Determine x(l). 6 Let q(l) = 60*l**2. Let d(f) = 12*f**2. Let x(t) = -24*d(t) + 5*q(t). Determine x(1). 12 Let p(o) = -2*o - 7. Let c be (8 - 8) + 0 + 1. Let h(b) = -b - 1. Let l(n) = c*p(n) - h(n). Determine l(-5). -1 Let o(l) = -1 - 5*l**2 - 2 + 2*l + 1 + l**3. Let r(m) = m**2 - m + 3. Let n be r(2). What is o(n)? 8 Let m be (4/3)/((-6)/(-18)). Let x(w) = -w**3 + 5*w**2 - 3*w - 3. Give x(m). 1 Let r(l) = -3*l + 2. Let t be 2/(-4)*(0 + -6 + -6). Give r(t). -16 Let x(k) be the first derivative of -k**2/2 + 2*k + 1. Let a(y) = 4*y.
{ "pile_set_name": "DM Mathematics" }
is the a'th term of 2712, 2720, 2728, 2736? 8*a + 2704 What is the h'th term of 1955254, 1955247, 1955230, 1955197, 1955142, 1955059, 1954942? -h**3 + h**2 - 3*h + 1955257 What is the o'th term of -10, 138, 556, 1382, 2754, 4810? 23*o**3 - 3*o**2 - 4*o - 26 What is the p'th term of 79, 528, 1681, 3868, 7419, 12664, 19933? 55*p**3 + 22*p**2 - 2*p + 4 What is the q'th term of 22214, 44480, 66746? 22266*q - 52 What is the r'th term of 2187, 2163, 2101, 1983, 1791? -3*r**3 - r**2 + 2191 What is the m'th term of 687, 1303, 1843, 2307? -38*m**2 + 730*m - 5 What is the f'th term of 1274, 2528, 3782, 5036? 1254*f + 20 What is the u'th term of 278, 551, 816, 1073, 1322? -4*u**2 + 285*u - 3 What is the p'th term of 118, 270, 448, 652, 882, 1138, 1420? 13*p**2 + 113*p - 8 What is the f'th term of 32689, 32699, 32723, 32767, 32837, 32939, 33079, 33263? f**3 + f**2 + 32687 What is the q'th term of 2032, 2482, 3700, 6070, 9976, 15802, 23932? 64*q**3 + 2*q + 1966 What is the d'th term of 52031, 52045, 52069, 52109, 52171, 52261, 52385? d**3 - d**2 + 10*d + 52021 What is the v'th term of 231, 227, 195, 123, -1, -189? -2*v**3 - 2*v**2 + 16*v + 219 What is the q'th term of 2307228, 4614458, 6921688, 9228918, 11536148, 13843378? 2307230*q - 2 What is the z'th term of 411, 1523, 3369, 5943, 9239, 13251, 17973? -z**3 + 373*z**2 + 39 What is the t'th term of -583, -1008, -1695, -2626, -3783, -5148? 3*t**3 - 149*t**2 + t - 438 What is the j'th term of -964, -2123, -3284, -4447, -5612? -j**2 - 1156*j + 193 What is the o'th term of -916, -1330, -1730, -2110, -2464, -2786, -3070, -3310? o**3 + o**2 - 424*o - 494 What is the w'th term of 1073, 1109, 1145? 36*w + 1037 What is the z'th term of 432, 2386, 5862, 10860? 761*z**2 - 329*z What is the w'th term of -766, -3063, -6894, -12259, -19158? -767*w**2 + 4*w - 3 What is the q'th term of 7355, 7359, 7363, 7367? 4*q + 7351 What is the y'th term of -521, -2065, -4631, -8219? -511*y**2 - 11*y + 1 What is the w'th term of 255, 1117, 2547, 4539, 7087, 10185, 13827? -w**3 + 290*w**2 - w - 33 What is the v'th term of -312768, -625538, -938308, -1251078? -312770*v + 2 What is the j'th term of 596206, 596212, 596218, 596224? 6*j + 596200 What is the k'th term of 251, 204, 125, 14? -16*k**2 + k + 266 What is the s'th term of -2855, -2853, -2849, -2843, -2835, -2825, -2813? s**2 - s - 2855 What is the s'th term of -384, -360, -334, -300, -252, -184, -90, 36? s**3 - 5*s**2 + 32*s - 412 What is the u'th term of 593, 2762, 6377, 11438, 17945? 723*u**2 - 130 What is the i'th term of 1122, 2076, 3032, 3990, 4950, 5912, 6876? i**2 + 951*i + 170 What is the n'th term of -16790, -33581, -50372, -67163, -83954? -16791*n + 1 What is the j'th term of -482, -490, -504, -524, -550? -3*j**2 + j - 480 What is the u'th term of 101, 142, 205, 290, 397, 526? 11*u**2 + 8*u + 82 What is the n'th term of 10834, 43606, 98228, 174700, 273022, 393194, 535216? 10925*n**2 - 3*n - 88 What is the f'th term of 963, 7400, 24865, 58872, 114935, 198568, 315285, 470600? 919*f**3 + 4*f + 40 What is the c'th term of 138516, 554033, 1246562, 2216103, 3462656, 4986221? 138506*c**2 - c + 11 What is the t'th term of 3949, 7887, 11825? 3938*t + 11 What is the n'th term of 1968, 1968, 1960, 1938, 1896, 1828, 1728? -n**3 + 2*n**2 + n + 1966 What is the r'th term of 1657, 1652, 1637, 1606, 1553, 1472? -r**3 + r**2 - r + 1658 What is the t'th term of 6290, 12618, 18944, 25268? -t**2 + 6331*t - 40 What is the z'th term of 224, 545, 862, 1175, 1484? -2*z**2 + 327*z - 101 What is the t'th term of -806, -6398, -21576, -51134, -99866? -799*t**3 + t**2 - 2*t - 6 What is the d'th term of 73526, 147050, 220574, 294098, 367622? 73524*d + 2 What is the w'th term of 8107, 8103, 8089, 8059, 8007, 7927? -w**3 + w**2 + 8107 What is the j'th term of -1195, -1196, -1199, -1204, -1211? -j**2 + 2*j - 1196 What is the f'th term of 278, 198, 242, 470, 942, 1718, 2858? 10*f**3 + 2*f**2 - 156*f + 422 What is the r'th term of -166, -178, -206, -256, -334, -446, -598? -r**3 - 2*r**2 + r - 164 What is the f'th term of 1675, 1686, 1711, 1756, 1827, 1930? f**3 + f**2 + f + 1672 What is the s'th term of -21328, -42660, -63988, -85312? 2*s**2 - 21338*s + 8 What is the g'th term of 1449, 2793, 4137, 5481, 6825? 1344*g + 105 What is the c'th term of 8750, 17322, 25892, 34460, 43026, 51590? -c**2 + 8575*c + 176 What is the k'th term of -771812, -771818, -771826, -771836, -771848? -k**2 - 3*k - 771808 What is the k'th term of -198, -536, -1016, -1638, -2402, -3308? -71*k**2 - 125*k - 2 What is the i'th term of -56, -202, -336, -458, -568, -666, -752? 6*i**2 - 164*i + 102 What is the i'th term of -259, -897, -1941, -3379, -5199, -7389? 2*i**3 - 215*i**2 - 7*i - 39 What is the h'th term of -537053, -537052, -537051? h - 537054 What is the d'th term of 1699, 6810, 15333, 27262, 42591, 61314, 83425, 108918? -d**3 + 1712*d**2 - 18*d + 6 What is the l'th term of 3346, 3337, 3328? -9*l + 3355 What is the n'th term of -125893, -125894, -125895, -125896? -n - 125892 What is the t'th term of -4621, -4743, -4863, -4981, -5097, -5211? t**2 - 125*t - 4497 What is the f'th term of 145, 696, 1247, 1798, 2349, 2900? 551*f - 406 What is the j'th term of -1912, -1268, -194, 1310, 3244, 5608, 8402? 215*j**2 - j - 2126 What is the h'th term of -39624, -39565, -39518, -39489, -39484, -39509? -h**3 + 66*h - 39689 What is the s'th term of 28121, 28126, 28135, 28148, 28165, 28186, 28211? 2*s**2 - s + 28120 What is the n'th term of 5340, 10528, 15716, 20904, 26092? 5188*n + 152 What is the j'th term of -290, -583, -882, -1187, -1498, -1815, -2138? -3*j**2 - 284*j - 3 What is the b'th term of 1992, 3973, 5946, 7911, 9868, 11817? -4*b**2 + 1993*b + 3 What is the g'th term of 2111, 4218, 6325? 2107*g + 4 What is the p'th term of 802, 1579, 2352, 3121, 3886, 4647, 5404? -2*p**2 + 783*p + 21 What is the j'th term of -873, -1170, -1657, -2328, -3177, -4198, -5385? j**3 - 101*j**2 - j - 772 What is the f'th term of -70629, -70623, -70615, -70605, -70593, -70579, -70563? f**2 + 3*f - 70633 What is the g'th term of 3418, 3405, 3392, 3379? -13*g + 3431 What is the k'th term of -1270, -1246, -1174, -1030, -790, -430? 4*k**3 - 4*k - 1270 What is the v'th term of -390768, -390772, -390790, -390828, -390892, -390988, -391122, -391300? -v**3 - v**2 + 6*v - 390772 What is the d'th term of 281, 1088, 2433, 4316, 6737, 9696, 13193? 269*d**2 + 12 What is the d'th term of -672, -5362, -18078, -42834, -83644, -144522? -669*d**3 + d**2 - 10*d + 6 What is the b'th term of -5730, -22934, -51612, -91770, -143414, -206550, -281184, -367322? -b**3 - 5731*b**2 - 4*b + 6 What is the z'th term of 418, 735, 1052, 1369, 1686, 2003? 317*z + 101 What is the n'th term of 1193, 1177, 1159, 1139, 1117, 1093, 1067? -n**2 - 13*n + 1207 What is the d'th term of -24600, -24607, -24614, -24621, -24628, -24635? -7*d - 24593 What is the f'th term of -178213, -356428, -534643? -178215*f + 2 What is the m'th term of -120, -337, -662, -1083, -1588, -2165, -2802? 2*m**3 - 66*m**2 - 33*m - 23 What is the d'th term of 715, 729, 759, 811, 891, 1005, 1159, 1359? d**3 + 2*d**2 + d + 711 What is the w'th term of 1167565, 1167564, 1167563, 1167562? -w + 1167566 What is the r'th term of -2484, -2309, -2124, -1923, -1700, -1449? r**3 - r**2 + 171*r - 2655 What is the i'th term of 350, 1988, 3626, 5264? 1638*i - 1288 What is the b'th term of -877, -843, -807, -769, -729, -687, -643? b**2 + 31*b - 909 What is the u'th term of -5023, -5024, -5073, -5194, -5411, -5748? -4*u**3 + 27*u - 5046 What is the d'th term of -418, -604, -798, -1006, -1234, -1488? -d**3 + 2*d**2 - 185*d - 234 What is the f'th term of -484, -473, -466, -469, -488, -529, -598? -f**3 + 4*f**2 + 6*f - 493 What is the h'th term of -1138, -4516, -10146, -18028, -28162? -1126*h**2 - 12 What is the k'th term of -5233, -5242, -5257, -5278, -5305, -5338, -5377? -3*k**2 - 5230 What is the d'th term of -129, -505, -1133, -2019, -3169, -4589, -6285, -8263? -d**3 - 120*d**2 - 9*d + 1 What is the o'th term of 4267, 17081, 38437, 68335, 106775, 153757? 4271*o**2 + o - 5 What is the w'th term of 56905, 56907, 56909, 56911, 56913? 2*w + 56903 What is the m'th term of 552, 715, 894, 1083, 1276, 1467, 1650, 1819? -m**3 + 14*m**2 + 128
{ "pile_set_name": "DM Mathematics" }
-2*n + 26 + 14 = -0*n - 4*p, 0 = -6*n - 7*p + 158 for n. 24 Solve 0 = 3*b + 15, 325*m - 5947*b = -5950*b - 1640 for m. -5 Solve 0 = -3*o - 2*h + 4, -24*o + 30*o - 23*o + 5*h = -18*o - 3 for o. 2 Solve -4*g - 284 + 631 - 211 = 2*k, 2*k = -5*g + 172 for k. -4 Solve 4681*a + 85 = 4685*a - 5*p, 3*a - a + 5*p = -85 for a. 0 Solve -3*a + 2*a - 4 = -4*m, -30*a - 11*m - 2 = -13*m for a. 0 Solve 12*f - 37 = -b + 8*f + 6*f, 2*b + 10*b = 6*f + 138 for b. 3 Solve -v + 5*d - 21 = 0, -5*v - 47419 = 390*d - 48974 for v. -1 Solve -3*h = 2*y - 29, 5762*h = -5*y + 5757*h + 60 for y. 7 Solve 0 = -2*a - 4*u - 26, 2*a = 5500*u - 5489*u + 19 for a. -7 Solve 0 = -3*q - 61*c + 335, q = -13*c + 18*c - 47 + 32 for q. 10 Solve 21*d + 4 = 4*p + 18*d, 3*d - 10 = -5 + 7 - 0 for p. 4 Solve 348*t + p - 7 = 347*t, -t - 53 = -14*p for t. 3 Solve 0 = -4*l - 3*g + 3721 - 3708, l + 4*g = 0 for l. 4 Solve -592 = 3*l + 18*l - 2104, -l + 68 = -k - 0 for k. 4 Solve 3*j + 9 = -121709*t + 121707*t, 5*j + 127 = -22*t for j. 1 Solve -4*t - 97 = 3*y, 5*t + 101 = -625253*y + 625256*y for y. -3 Solve 3 = i - 4*r + 60, 3*i - 50 = 4*i - 90*r + 1211 for i. -1 Solve 170 - 54 = 5*q - 16*q - 6*g, 0*q = 4*q + 13*g + 172 for q. -4 Solve 185*a - w + 3*w = 189*a - 4, 5*a - 8*w + 5*w - 7 = 0 for a. -1 Solve 8 = -v - j, 145*v + 136*v - 2*j = 277*v - 2 for v. -3 Solve 0*w = w + 3*c + 85, 4*w + 573*c + 166 = 567*c for w. 2 Solve 91 - 113 = 2*q + 2*m, -21*q + 3*m = -22*q - 21 - 4 for q. -4 Solve -2*a = -69177*m + 69152*m + 77, a = -1 for m. 3 Solve -117*t + 3*o - 11 - 9 = -o - 0*o, -3*t + 3*o = 15 for t. 0 Solve 2277*a - 2274*a - 128 = -2*h, 9*h = -a + 51 for a. 42 Solve -4*m = -5*g - 611 + 628, 2*m = -98*g + 494 for g. 5 Solve 2*g + g - 319 = -b - 131, 22*b + 4*g = 230 for b. -1 Solve -81268*o - 4*j = -81266*o - 18, 4*j - 9 = -5*o for o. -3 Solve -44*p = 2*l - 48*p - 10, 5*l + 10*p + 15 = 0 for l. 1 Solve -3*s = -3*i - 24, 73594*i - 4*s = 73577*i - 19 for i. 1 Solve -x + 2 = 0, 195 = 94*r - 99*r - 5*x for r. -41 Solve 43*y - 46*y - 5*m + 4 + 8 = 4, -m = 4 + 1 for y. 11 Solve 5*k = 3*l - 3626 + 3666, 7*k = -28 for l. -20 Solve -4*w + 3*n - 46 = -5*w, 0 = -3*w - 2*n + 232 - 108 for w. 40 Solve -7*n = -5*k + 14 + 22, 5*n + 5 + 7 = -k for k. 3 Solve -136 = -6*o + 4*p, 11765*o = 11766*o - 3*p - 25 for o. 22 Solve -4*l + 8*o = -l + 3*o + 5 + 11, 4*l + 34*o = 304 for l. 8 Solve -2*m - p + 5 = 0, 72*p + 265 = 5*m - 120 for m. 5 Solve 4*p + 3*x = 71 - 61 - 25, -5*p = -4*x - 51 for p. 3 Solve -20303*w - 32 = 3*k - 20301*w, -5*w + 20 = -5*k for k. -8 Solve -5 = -13*q - 9*q + 25*q + 2*p, 15*q = p - 80 for q. -5 Solve -56 = 7*k + m - 228 - 13 - 275, 2*k = 2*m + 136 for k. 66 Solve -3*b + 7*w + 26 = 0, 2*b - 18 = 1911*w - 1906*w for b. 4 Solve 3*t + 4*w = 37, 4*t - 2*w - 49 = -16*w + 9*w for t. 11 Solve -24 = 2*w + 8*t - 20*t, 0 = -t for w. -12 Solve -35*x - 38 = -k + 5*k, -3244*x - k = -3242*x - 4 for x. -2 Solve 4*l = -1928*o + 1927*o + 24, 5*o - 112 = 3*l + 54 for o. 32 Solve -63*p + 4*j - 46 = -68*p, -2*j + 30 = 7*p - 20 for p. 6 Solve 0 = 3*l + 5*r - 44, 11*r - 18*r = -12*r + 20 for l. 8 Solve 2*q = -3*c + 31, 5*c - 18270 = -2*q - 18233 for c. 3 Solve 0 = 16*u + 2*t + t - 5, -3*t = -18 + 45 for u. 2 Solve -y - 3 = -4*v, 4*y - 492 - 492 = 5*v - 996 for v. 0 Solve -3*a - 4*u - 18 = 0, 5*u = 4*a - 6955 + 6948 for a. -2 Solve -3*f - 2 = -d, -108*f + 209*f + 45 = -5*d + 105*f for d. -13 Solve 0*q - 83 - 15 = -4*g - 0*q + 5*q + 2*q, -5*q - 588 = 37*q for g. 0 Solve 4*f + 2*t - 5 = -5, t = -4*t + t - 8 for f. 1 Solve z + 27 = 26*k - 30*k, -5*k + 2*z + 3*z = -35 for k. -4 Solve 4*m + 2*t - 1069 + 364 + 374 = -361, 34 = -2*t for m. 1 Solve 358*x - 6 - 5 = 4*g - 7*g + 356*x, -3*x = 5*g - 19 for g. 5 Solve -v + 6 = -s + 3*s, 1 = -v - 2*v + 7 for s. 2 Solve 2*l + 2*b + 8 = 0, 13666*l + 7*b + 28 = 13663*l for l. 0 Solve -3*o = 2*o - 2*h + 63 - 56, -3*o - 2*h = 1 for o. -1 Solve -5*o + 14*n + 59 = 0, 40 = 253*o - 249*o - 4*n for o. 9 Solve -5*r - 19 + 39 = 0, 2*m - 2*r - 55 + 137 = -0*m + 66 for m. -4 Solve 100 = 4*j - 4*k, -27842*j - 27842*j - 5*k = -55683*j - 1 for j. 21 Solve -5*r - 3*w = -145, r + 2354*w - 2399*w + 2023 = 0 for r. 2 Solve i - i + 4*i + 72 = 0, 2*i = 5*v - 4*v + 1 - 41 for v. 4 Solve 3*f - 30 = 10*h + 4, 37777*f + 3 = 5*h + 37778*f for h. -1 Solve 17394*g = 17388*g + 3*d - 105, -5*d + 145 = -4*g for g. -5 Solve -151981*j + r + 30 = -151979*j, -2*r = 21*j - 315 for j. 15 Solve 25*g = 2*j - 8*g + 125 + 164, 4*g = 7*g - 2*g - 9 for j. 4 Solve -4*l - l + 18 = 2*j, -7*l - 139237*j = -139238*j - 29 for l. 4 Solve 0 = -5*h + 3*v + 28, -3*h - 2934*v + 2931*v = -12 for h. 5 Solve 4*n = -3*i + 41, 0 = -340838*n + 340835*n + 2*i + 1 for n. 5 Solve 5*c = 2*d + 51, -78 = 4*c + 1064*d - 1059*d for c. 3 Solve 0*g + 4*g = -2*g + 5*g - 4*u - u + 4, -80*g - 5*u + 320 = 0 for g. 4 Solve -3*h - 75 = -5*m, -155042114*m = -155042118*m + 2*h + 58 for m. 12 Solve 2*t + 18*z - 232 + 499 + 322 = t, 0 = t - z - 38 for t. 5 Solve -6*w + 10*w + 4*d = -44, 0 = -2*w + w + w - 51*d - 816 for w. 5 Solve 23*z - 23*z - z - 2*u + 35 = 0, -4*z + 5*u = 94 for z. -1 Solve 0 = 3*b - 4*v + 67, -654683*v - 45 = -4*b - 654688*v for b. -5 Solve 2*w - 22 = 5*d, 10*d - 382 + 395 = 5*d - 7*w for d. -4 Solve 2*n = 4*k + 106, -2*n + 2*k = -4409 + 4355 for n. 1 Solve -4*y - c - 21 = 0, -3*y - 130*c + 380 = 8 for y. -6 Solve 0 = 3*t + 2*y - 12, 19237*y = 3*t + 19241*y - 12 for t. 4 Solve 0 = 4*m - 2*m + 8, 185 = 2*z - m + 177 for z. 2 Solve 0 = 129*s - 3*w - 1038, -2*w + 8527 - 8547 = -2*s for s. 8 Solve n = 9 - 36, -3*d + 83139*n = 83158*n + 5 + 523 for d. -5 Solve -28 + 39 = -2*b + a + 43, 5*b - a - 23 = 0 for b. -3 Solve 66*c - 5*u = 61*c - 75, -192*c - 2687 = u for c. -14 Solve g - b + 3 = 0, 0 = -5*g + 8*b - 21*b + 17*b - 10 for g. 2 Solve -420*q + d + 0 = -418*q + 9, -13*q - 87 = 3*d for q. -6 Solve 4*x + 118 - 128 = -5*q + 7*q, 19 = 5*x + 4*q for x. 3 Solve 3*z - 82 = -5*k, 4*k - k - 17*z - 55 = 15*z - 34*z for k. -1 Solve 3 = z, 2*z - 617 = -3*b + 3*z - 629 for b. -3 Solve -51*s = 8*p - 30*s - 24*s - 32, 4*p + 2*s - 16 = 0 for p. 4 Solve -14*a + 5*l - 2015 = -2216, -5*a = 3*l + 67 for a. 4 Solve -50*t - 48*t + 18 = 3*c - 5*c - 144*t + 52*t, 4*c - t + 25 = 0 for c. -6 Solve 6*f + u = 3*f - 9, -5*u = 337*f - 342*f - 55 for f. -5 Solve -4*g - 144 = 18180*l - 18184*l, 2*g - 187 = -5*l for l. 37 Solve 132*b + 51 = 3*v, -281 = -2*v - 2*b - 157 for v. 61 Solve -7*r + 3*d + 162587 - 162590 = 0, -4 = -4*r + d for r. 3 Solve 5 - 17 = -4*u, -120 + 76 = -10*a - 3*u + 85 for a. 12 Solve -5*q = -5*j + 3*q - 100, -75*j + 71*j + 4*q + 11 = 79 for j. -12 Solve 66 = -3*h - 3*k, h + h + 640*k - 615*k - 2 = 0 for h. -24 Solve 4*g - 849*l = 6*g - 846*l + 32, 5*l = -3*g - 55 for g. 5 Solve 3*s + 22 - 102 = -5*h - 0*h + 19, -190 = 2*h - 7*s for h. 3 Solve -3*f = 8*k - 6*k - 15, f + 2*k + 27 + 18 = 10*f for f. 5 Solve 0 = 93*f + 2511, -3*n + 8*f - f = 6*f - 36 for n. 3 Solve -11*s - 2*f = 245, 3587*f - 3 = s + 3592*f for s. -23 Solve 0 = 3*n + 24*m - 29*m + 12, -3*n - 12 = 3*m for n. -4 Solve -3*w - 52 = -9*u + 2*u, 130*w = 133*w - 4*u + 31 for w. -1 Solve -64 + 184 - 6 = -2*k + 3*l + 21, -41*k = -5*l + 1624 for k. -39 Solve -4*j - 6 = 2*i, 4*j + 3*i = -37180 + 37175 for j. -2 Solve 2*j + j - 3*d + 2*d - 1 = 0, -2*d - 18 - 12 = 22*j for j. -1 Solve 5768*y - 292 = 5740*y - 4*z, 4*z - 157 = -y for y. 5 Solve -3*y - 5*l = -0*y + 69, -5*l - 56 = -5*y - 211 for y. -28 Solve 5*j - 27 = -3*v, 537*v - 553*v + 58 = -2*j for j. 3 Solve 101*b + j - 2*j + 5*j - 289 = 0, -j = 45 + 9 for b. 5 Solve -709 - 252 + 184 = -33*m - 5*v + 94, 4*v = m - 43 for m. 27 Solve 0 = 4*u - 5*v - 31, -195*v - 44 = -8*u - 345*v + 154*v for u. 4 Solve 0 = -5*x + 3*m + 169, 536*m = -x + 535*m - 59 for x. -1 Solve -9 = h + 7*x + 24, 7*h + 10*x = 11*x - 4*x - 93 for h. -12 Solve -20 = 4*u - 2*y, -18*y + 361 = -3*u + 148 for u. 1 Solve 7*p - 9712*j + 9710*j = 37, 5*p - 20 = j for p. 1 Solve 2*i - 238 + 234 = -5*g, -4*i - 18 = -3*g for g. 2 Solve 11008*b = -7*x + 11009*b - 35, 2*x + 4*b - 6*b = -46 for x. -2 Solve -3*z + 6 = 0, 4*o + 19*z - 57*z - 53 = -133 for o. -1 Solve -60*c + 98 = -2*x - 74*c, -59*c - 413 = -x for x. 0 Solve 32 = -r - 9*v, -9*r + 72*v - 70*v = -8*r - 1 for r. -5 Solve q - 25 = -10437
{ "pile_set_name": "DM Mathematics" }
4 Let l(a) be the second derivative of a**5/10 - 29*a**4/9 - 119*a**3/27 - 20*a**2/9 + 514*a. Solve l(i) = 0 for i. -1/3, 20 Suppose -5*h + 6*c + 864 = 2*c, 2*c = 8. Let v be (h/32)/((-2)/(-4)). What is m in 9*m + 13*m - 6*m - 6 - 21*m**2 + v*m = 0? 2/7, 1 Let s(v) be the second derivative of 0*v**2 + 0 - 146*v - 1/32*v**4 - 69/16*v**3. Suppose s(c) = 0. Calculate c. -69, 0 Let r(w) be the second derivative of -w**4/3 - 56*w**3/3 - 11*w + 20. Suppose r(h) = 0. Calculate h. -28, 0 Let p be -4*(-5 + 8)/(1 - 4). Factor 4*b**5 - 16*b**4 + 4*b**p - 2*b**3 + 18*b**3 - 4*b**4. 4*b**3*(b - 2)**2 Let h(x) = x**2 + 520*x - 37374. Let j be h(64). Factor 22/9*o - 8/3*o**j + 0 + 2/9*o**3. 2*o*(o - 11)*(o - 1)/9 Let n(t) be the first derivative of 0*t**2 - 3/8*t**4 - 1/8*t**6 + 9/20*t**5 + 0*t**3 + 0*t - 159. Factor n(u). -3*u**3*(u - 2)*(u - 1)/4 Let s(i) = 37*i**4 - 450*i**3 + 1939*i**2 - 3098*i + 1500. Let q(m) = -75*m**4 + 900*m**3 - 3880*m**2 + 6195*m - 3000. Let d(p) = 2*q(p) + 5*s(p). Factor d(n). 5*(n - 5)**2*(n - 2)*(7*n - 6) Let z(x) = -14*x + 101. Let u be z(7). What is v in 137*v - 72*v + 5*v**u + 5*v**2 - 75*v = 0? -2, 0, 1 Let v(f) = 8*f - 318. Let p be v(39). Let o be ((1/p)/((-2)/4))/1. Factor -1/3*j**2 + o*j + 2. -(j - 3)*(j + 2)/3 Suppose 10 - 17 - 37 = -11*i. Let o(r) be the second derivative of -3*r - 3/7*r**2 - 1/42*r**i + 4/21*r**3 + 0. Factor o(m). -2*(m - 3)*(m - 1)/7 Let n = -1581 - -1581. Let o(s) be the first derivative of -3/16*s**2 + 1/6*s**3 + n*s - 1/32*s**4 + 2. Solve o(z) = 0. 0, 1, 3 Let u(q) be the first derivative of 83521*q**5 + 1295*q**3 + 97*q + 10265*q**3 - 176 + 49130*q**4 - 17*q + 1360*q**2. Factor u(p). 5*(17*p + 2)**4 Let y(v) be the second derivative of -2/21*v**7 + 0 - 7/5*v**5 + 0*v**2 + 0*v**3 - v**4 - 2/3*v**6 + 89*v. Find h, given that y(h) = 0. -3, -1, 0 Find j, given that -2*j**3 + 751978*j + 4694048 - 2345163*j + 2*j**3 + 6130*j**2 - 2*j**3 - 3106991*j = 0. 1, 1532 Let f = 24470 + -24470. Determine z so that -3/4*z**2 + f + 21/4*z = 0. 0, 7 Let w(i) be the second derivative of -743*i**4/9 - 2974*i**3/9 - 4*i**2/3 - 7364*i. Factor w(m). -4*(m + 2)*(743*m + 1)/3 Factor 2853571*j**2 + 35 - 179 - 2853573*j**2 + 34*j. -2*(j - 9)*(j - 8) Suppose -3*f + 0*x + x = -7, 0 = -3*x + 15. Factor -b**3 + 12 - 5*b**4 + f*b**3 + 4*b**4 + 31*b**2 - 22*b**2 - 23*b. -(b - 4)*(b - 1)**2*(b + 3) Suppose -5*b + 2*g + 11 = 0, -4*b + 5*g + 17 = -2*b. Let m be -1*(b/6)/((-28)/42). Factor -3/4*z - m*z**2 - 1/2. -(z + 1)*(z + 2)/4 Let h(w) = -w**3 - w**2 - 7*w - 2. Let u(a) = 218*a**3 - 2167*a**2 + 1186*a - 194. Let b(d) = -7*h(d) + u(d). Factor b(z). 5*(z - 9)*(3*z - 1)*(15*z - 4) Suppose 0 = -8*s + 2 + 14. Suppose 1626 + 7*p**2 - 18 - 180*p - 4*p**s + 1092 = 0. What is p? 30 Let x(o) be the second derivative of 7/3*o**3 + 1/3*o**4 - 163*o - 1/10*o**5 + 0 + 4*o**2. Factor x(k). -2*(k - 4)*(k + 1)**2 Let r = 3079 - 1155. Factor 16*n**2 - 48 + 20*n**2 + 1716*n - r*n. 4*(n - 6)*(9*n + 2) Let g = 13 - 10. Find w, given that 4 + 8*w + w + 4*w**g + 10*w**4 + 4*w**5 - 14*w**2 - 6*w**3 - 11*w = 0. -2, -1, 1/2, 1 Let n(b) be the second derivative of b**7/70 + b**6/20 + b**5/20 - 69*b**2/2 + 10*b. Let x(d) be the first derivative of n(d). Factor x(y). 3*y**2*(y + 1)**2 Let n = -1/9274 + 23221/333864. Let b(p) be the second derivative of -5/36*p**3 - 5/6*p**2 + n*p**4 + 12*p + 0. Determine y so that b(y) = 0. -1, 2 Let j(x) be the first derivative of 23 - 60*x**2 - 115*x - 5/3*x**3. Let j(k) = 0. Calculate k. -23, -1 Let s(h) be the second derivative of -h**7/315 - h**6/45 - h**5/18 - h**4/18 + 19*h**2/2 - 6*h - 3. Let v(o) be the first derivative of s(o). Factor v(l). -2*l*(l + 1)**2*(l + 2)/3 Find n such that -91/6*n**2 - 89/6*n**3 + 89/6*n + 15 + 1/6*n**4 = 0. -1, 1, 90 Let m(x) be the first derivative of -1/15*x**3 - 81 - 1/5*x**2 + 0*x. Factor m(n). -n*(n + 2)/5 Let z be (164/6 + 0)/((-27)/(-162)). Suppose 3*v - 2*w = 8*v - 820, z = v - 2*w. Factor -v*q**4 + 40*q + 159*q**4 + 11*q**2 + 19*q**2 + 15. -5*(q - 3)*(q + 1)**3 Let a(z) be the first derivative of 5*z**3/3 - 235*z**2/2 + 8987. Factor a(n). 5*n*(n - 47) Let a(x) = 14*x**2 + 14*x - 10. Let z be a(7). Let b = z - 771. Determine f so that -3*f**2 - 1/2*f**b - 9/2*f - 2 = 0. -4, -1 Let r(i) be the first derivative of -18*i**5/35 + 11*i**4/2 - 394*i**3/21 + 199*i**2/7 - 20*i + 4562. Solve r(s) = 0 for s. 1, 14/9, 5 Let g be (-142)/(-497) + 2/14*-2. Let l(z) be the third derivative of 0*z + 6/25*z**5 + g + 1/30*z**6 - 4*z**2 + 7/30*z**4 - 4/5*z**3. Factor l(b). 4*(b + 1)*(b + 3)*(5*b - 2)/5 Let p(x) be the third derivative of -x**6/60 + x**5/15 + 49*x**4/12 - 98*x**3/3 + 2447*x**2. Factor p(f). -2*(f - 7)*(f - 2)*(f + 7) Let o(j) = -161580*j**2 + 6436*j - 56. Let v(b) = -6*b**2 - b - 2. Let g(u) = o(u) + 4*v(u). Find q, given that g(q) = 0. 4/201 Let l(o) be the third derivative of 7*o**8/96 - 13*o**7/14 + 29*o**6/6 - 38*o**5/3 + 15*o**4 + 8*o**3/3 + 362*o**2 + 2*o + 8. Factor l(v). (v - 2)**4*(49*v + 2)/2 Factor -53725 - 53864 - 189436 + 1065*j**2 + 5*j**3 + 53955*j. 5*(j - 5)*(j + 109)**2 Let l(i) = -5*i**4 + 6*i**3 - 12*i**2 - 4*i. Let x(g) = g**4 - g**3 - 2*g. Suppose -4*c = 2*d - 10, 7 = c - 3*d + 15. Let r(q) = c*l(q) + 6*x(q). Factor r(j). j*(j - 4)*(j + 2)**2 Let h(m) be the second derivative of 3*m**5/100 + 5*m**4 + 1144*m**3/5 - 16224*m**2/5 + m - 288. Find d such that h(d) = 0. -52, 4 Let o = -801911/7 - -114775. Let k = o + -215. Factor k*f**2 - 6/7*f**3 + 1/7*f**4 + 0 + 0*f. f**2*(f - 3)**2/7 Let m(r) be the first derivative of r**4/32 - 27*r**2/16 - 66*r + 51. Let t(z) be the first derivative of m(z). Determine x so that t(x) = 0. -3, 3 Let s be (96/(-9) + 12)*(-423)/(-2). Suppose -72 = 246*k - s*k. Suppose -15/4*g**3 - 165/4*g - 45/4 - 95/4*g**k = 0. What is g? -3, -1/3 Suppose -468*k = -465*k - 12. Let 138 - 2*r - 2*r**3 - 138 + k*r**2 = 0. Calculate r. 0, 1 Let y(f) be the second derivative of f**6/50 - 63*f**5/20 + 23*f. Solve y(k) = 0 for k. 0, 105 Let x be ((25/(-7))/(-5))/((-1441)/77 + 19). Factor -x*t + 1/4*t**2 - 11/4. (t - 11)*(t + 1)/4 Let r(y) = -3*y**2 - 620*y + 543. Let n(w) = -23*w + 3. Let v(t) = 4*n(t) - r(t). Factor v(d). 3*(d - 1)*(d + 177) Let h(f) = 7*f - 47. Let b be h(7). Let -36*o**2 - 2*o**5 + 15*o**4 + 8*o**5 + 44*o**b - 23*o**2 - 6*o = 0. What is o? -2, -1, -1/2, 0, 1 Let l(o) = 3*o**2 - 5*o - 44. Let q be l(-4). Let i(g) be the first derivative of -64*g + q*g**2 - 4*g**3 + 1/4*g**4 + 9. Let i(h) = 0. What is h? 4 Let o(u) be the second derivative of -u**6/60 + 359*u**5/20 - 128881*u**4/24 + 133*u - 1. Factor o(k). -k**2*(k - 359)**2/2 Let r = -2244 + 31419/14. Let z(w) be the first derivative of r*w**4 + 15 - 3/7*w**2 + 0*w**3 + 3/35*w**5 - 3/7*w. Solve z(n) = 0 for n. -1, 1 Let h(g) = 3*g + 21. Let m be h(-11). Let z be (-15)/28*16/m. What is p in z*p + 2/7 - p**2 = 0? -2/7, 1 Let a(v) = 6*v**5 + 2*v**4 - 31*v**3 + 16*v**2 - 56*v + 7. Let x(b) = b**5 - b**4 - b**3 - 8*b + 1. Let i(r) = -5*a(r) + 35*x(r). Factor i(l). 5*l**2*(l - 4)**2*(l - 1) What is u in -128/3 - 290/3*u**2 - 302/9*u**3 - 2/9*u**5 - 992/9*u - 14/3*u**4 = 0? -8, -3, -1 Let q(g) = 27375*g**2 - 537*g - 1. Let t(n) = 191624*n**2 - 3782*n - 8. Let m(p) = -44*q(p) + 6*t(p). Factor m(j). -4*(117*j - 1)**2 Factor 5/3*j**3 - 50/3*j - 40/3 - 5/3*j**2. 5*(j - 4)*(j + 1)*(j + 2)/3 Let t be (-39)/45 - (-31 - (-1408)/48). Factor -8/5*h - t - 4/5*h**2. -4*(h + 1)**2/5 Let k(p) be the second derivative of 13/18*p**3 + 0 - 76*p - 2*p**2 - 1/36*p**4. Factor k(c). -(c - 12)*(c - 1)/3 Let z = -6 - -33. Suppose 15*w - 18*w = -z. Factor -5*y**2 - 20*y - w*y**2 + 24 + 3*y**2 + 7*y**2. -4*(y - 1)*(y + 6) Let n(p) be the first derivative of -p**6/1800 + p**5/600 - p**3/3 - 83*p**2/2 + 136. Let c(r) be the third derivative of n(r). Factor c(x). -x*(x - 1)/5 Let f be (-9)/(-56) - (73 - (-25740)/(-352)). Factor 0 - 12/7*q - f*q**2. -2*q*(q + 6)/7 Let i(g) be the first derivative of g**7/70 + 3*g**6/40 - g**5/5 - 21*g**2 - 26. Let f(t) be the second derivative of i(t). What is n in f(n) = 0? -4, 0, 1 Suppose -64 = 16*s - 20*s. Let x = -13 + s. Factor 14 + 508*r**2 + 204*r - 1430*r**4 + 1029*r**5 - 483*r**x + 254*r**4 - 106*r**2 + 10. 3*(r - 1)**2*(7*r + 2)**3 Let a(t) = t**3 - 16*t**2 + 30*t - 25. L
{ "pile_set_name": "DM Mathematics" }
)/((sqrt(132)*5*4)/sqrt(12)). -7*sqrt(7)/20 Simplify -1 + -5*(2*-1*((sqrt(242) + -3)*4 - sqrt(242)))**2*-3 + 1. -47520*sqrt(2) + 139320 Simplify (5*(sqrt(228) - -2*(sqrt(228) + 1*sqrt(228) + sqrt(228)))*-3)/(-3*(sqrt(252)/(sqrt(28)/sqrt(4)))/sqrt(3)). 35*sqrt(19) Simplify ((6*-6*(-6*sqrt(60)/sqrt(3))/((sqrt(110)*-1)/sqrt(11)) + 4)*-3)**2. -15552*sqrt(2) + 839952 Simplify (-3 + -5 + sqrt(288) + -1)*-4 + ((-3*((sqrt(352) - (sqrt(352)*-2 - sqrt(352))) + sqrt(352)))/(sqrt(44)*-1))**2. -48*sqrt(2) + 1836 Simplify ((sqrt(72)/(sqrt(20)/sqrt(5)))/(4*(3*sqrt(9) + sqrt(9))) + (sqrt(20) - (1*sqrt(80) - sqrt(80)))/(sqrt(60)/sqrt(54) + sqrt(10)))**2. 169/128 Simplify (5*(sqrt(144)*2)/sqrt(8)*3)/(-4*(sqrt(384) + sqrt(384) + (sqrt(384) - (-2*sqrt(384) - sqrt(384))*3))). -5*sqrt(3)/64 Simplify 4 + (-3 + (3*(sqrt(833) + -1 - sqrt(833)) - ((-3 + -2*sqrt(833))**2 - sqrt(833))) + 2)*-5. 385*sqrt(17) + 16729 Simplify ((sqrt(84)*1 + sqrt(84) + sqrt(84))*-1 + 4*sqrt(84)*-2)/(2*-6*1*sqrt(1200)). 11*sqrt(7)/120 Simplify (4*(3*(sqrt(88) - sqrt(88)*-1) + sqrt(88))*5)/(2*sqrt(1152) - sqrt(80)/(sqrt(10)*3)). 420*sqrt(11)/71 Simplify (sqrt(270)/sqrt(160) + (sqrt(135) + 4*sqrt(135))/sqrt(5))/((-4*(sqrt(72) - sqrt(72)*-1))/((1*sqrt(48))/sqrt(6))). -21*sqrt(3)/32 Simplify -4*(0 + (sqrt(13) - ((0 + sqrt(13))*4 + sqrt(13))) + 5 - (-2 + (sqrt(1300) + 1)**2 + sqrt(13)*2*-3)). 72*sqrt(13) + 5176 Simplify -2 + (2*sqrt(110)/(sqrt(80)/sqrt(8))*4)**2 + (6*(0 + sqrt(275)) + -1*sqrt(275)*-5)**2. 33977 Simplify (0 + (1*(sqrt(147) + 0) + (1 + sqrt(147) + sqrt(147) + sqrt(147) + sqrt(147))*6 + 1)*-1*2)**2. 9800*sqrt(3) + 367696 Simplify (-1*(-3 + sqrt(99)) + -4 - (-6*(sqrt(66) + -2*sqrt(66)))/((sqrt(48)*2)/sqrt(8))) + 5. -6*sqrt(11) + 4 Simplify -4 + 6*((-2 + 4 + 2*2*sqrt(605))*4)**2. 16896*sqrt(5) + 929660 Simplify (-1*((sqrt(448) + 0 + 4 - (0 + sqrt(448) + sqrt(448) + -2)) + 4*(sqrt(448) + 5 + sqrt(448)*1)) + 4)**2. 2464*sqrt(7) + 22436 Simplify 2 + (-1 + 1*(3 + sqrt(75) + 5 + 0)*6)**2. 2820*sqrt(3) + 4911 Simplify ((sqrt(128) + 4 + 4)*-2 + (-3 + sqrt(98) - (((sqrt(288) - sqrt(8)) + sqrt(8))/sqrt(4) + sqrt(2))))**2. 608*sqrt(2) + 873 Simplify -6*(-5 + (-4*(-2*sqrt(612)*2 + -2 + (sqrt(612) + -1)*-5 + 1))**2). -4760418 + 41472*sqrt(17) Simplify (-2*sqrt(252)*-1 + (sqrt(252) - (-2*sqrt(252) - sqrt(252))*-5 - sqrt(252)) + sqrt(252))/((3*sqrt(32)*-1)/((sqrt(40)*-2)/sqrt(5))). -24*sqrt(7) Simplify (-6*(-1*sqrt(171) + sqrt(171) - sqrt(171)) - (sqrt(171) - 5*sqrt(171)*1))/((sqrt(108) - (sqrt(108) - (sqrt(108) - -2*sqrt(108)))*2)/sqrt(12)*-1). -2*sqrt(19) Simplify (-4 + -2*(sqrt(78)/sqrt(6) + 4) + ((sqrt(13) - 5*(sqrt(13) - sqrt(52))) + sqrt(13) + 3)*-3)**2. 966*sqrt(13) + 7318 Simplify 1*((-2*sqrt(272)*-4 + sqrt(272) + 0 - -3*(sqrt(272) - (-2 + sqrt(272)*3))) + -1). 5 + 12*sqrt(17) Simplify 2*sqrt(11)*-3 + (sqrt(11) - ((2*sqrt(11))**2 - sqrt(11))) + 0 + sqrt(11) - 4*(2*sqrt(110)*4)/sqrt(10). -35*sqrt(11) - 44 Simplify -2 + (sqrt(78)/sqrt(294) - sqrt(13)) + 4 + (sqrt(65)/(sqrt(25)/sqrt(5)) - -5*(sqrt(13) + 0)) + 5. 7 + 36*sqrt(13)/7 Simplify -1*(-5*(5 + sqrt(175)*1 - sqrt(175))**2 + (sqrt(175) + sqrt(175)*-1 + sqrt(175) + -1 - (sqrt(175) - (1 + sqrt(175))**2)*-4)). 15*sqrt(7) + 830 Simplify -2 + (4*((sqrt(40)/sqrt(2))/sqrt(2)*-4)/(((sqrt(162)*2 - sqrt(162)) + sqrt(162))*5 - sqrt(162)))**2. -11842/6561 Simplify (sqrt(126)/(sqrt(6) - sqrt(216)*2)*-4)/(1*sqrt(300) + sqrt(3) + sqrt(1200)). 4*sqrt(7)/341 Simplify -5 + (4 + (-1*(sqrt(245) + -3))**2 - (sqrt(880)*1)/(sqrt(99)*6)). -380*sqrt(5)/9 + 253 Simplify ((-4*-2*sqrt(228) + -3*1*sqrt(228))*1)/((sqrt(2160) + 2*sqrt(2160))/(sqrt(30)/(sqrt(6)*2))). 5*sqrt(19)/36 Simplify ((sqrt(180)*4)/(sqrt(12)/sqrt(3)*-2) - ((-1 + sqrt(80) - sqrt(80) - sqrt(80)) + 4 - 2*(sqrt(80) - (sqrt(80) - sqrt(80)*-1))))**2. 60*sqrt(5) + 509 Simplify ((((sqrt(108) + sqrt(108) + -4 + sqrt(108)*1)*1 - (1*sqrt(108)*-2 + -3)) + -2)*-1)**2. -180*sqrt(3) + 2709 Simplify (-5 + (-4*(-1 + sqrt(432)) + sqrt(432) - 2*sqrt(432)*2) + 2)**2. -168*sqrt(3) + 21169 Simplify ((6*sqrt(288)*2)/(sqrt(48)/(sqrt(16)/sqrt(4))))/(5*-5*sqrt(200)*-1). 12*sqrt(3)/125 Simplify 6*(-6*-1*(sqrt(648) - -3*sqrt(648)*-6)*-2)**2. 161803008 Simplify (-2*(1 + 1 + sqrt(539) + -1 + 1*sqrt(539)*5 + -4 + -1 + sqrt(539) + -3 + -5))**2. -4704*sqrt(11) + 106220 Simplify 5 + (-5*(sqrt(72)*1)/sqrt(9))/(sqrt(44)/(sqrt(66)/(sqrt(6)*2 + sqrt(6)) + sqrt(11))). -20*sqrt(2)/3 + 5 Simplify ((5 + 3 + sqrt(245) + 2)**2 + -5 - (sqrt(245)*-2 + 1 + (2 + sqrt(245)*2)**2)*1) + 1. -644 + 98*sqrt(5) Simplify ((-1*sqrt(468)*-3 + 3 + 5 + -1 + 1*sqrt(468))*-3 + 1)**2. 2880*sqrt(13) + 67792 Simplify (((sqrt(65) - 1*sqrt(65)*6) + sqrt(65) - (sqrt(65) - sqrt(65)*3)*-5)*-2)/((sqrt(15) + (sqrt(90)/sqrt(6)*-3 - sqrt(15)))/(sqrt(108)*1)). -56*sqrt(13) Simplify 1*(1*-6*(-1 + sqrt(1088) + 4) + -3*(5*(0 + sqrt(1088)) + 3 + sqrt(1088)*2) + 1)**2. 11232*sqrt(17) + 793828 Simplify ((sqrt(684) - (-2 + sqrt(684)))**2 + 4)*-1 - (-4*-1*sqrt(171))/((sqrt(108)/sqrt(4) + sqrt(27))/sqrt(3) + sqrt(9)). -8 - 4*sqrt(19)/3 Simplify ((0 + sqrt(700) + 2 - -1*(sqrt(700) + 0) - ((sqrt(700) - (sqrt(700) - (3 + 2 + sqrt(700)))) + sqrt(700) - (sqrt(700) - 1*sqrt(700))*4))*-6*-5)**2. 8100 Simplify (-1*sqrt(108)*2)**2 + (-4*sqrt(12))**2 + -4 - (sqrt(15)/(sqrt(5)*1 + sqrt(5)) + sqrt(3) + -1 + 5 - (((sqrt(243)*1)**2 - sqrt(243)) + 2)). -21*sqrt(3)/2 + 861 Simplify (4*-1*sqrt(360) + (2*sqrt(360) + sqrt(360) + sqrt(360))*-3)/((sqrt(128) - 1*sqrt(128))*5 + -4*-1*sqrt(128)). -3*sqrt(5) Simplify 4 + (1 + sqrt(1872) + (sqrt(1872) + 2 + sqrt(1872) + sqrt(1872) - sqrt(1872)) - ((sqrt(13) - (sqrt(637) + 2*sqrt(637)))**2 + 0))*3 + -5 + -2. -15594 + 108*sqrt(13) Simplify (sqrt(1125) + -3 + -1*sqrt(1125) - (3*sqrt(45)/sqrt(3) - sqrt(15))/(sqrt(12)*-4 - sqrt(3)))**2 + 2. -4*sqrt(5)/3 + 911/81 Simplify ((sqrt(300) + -2 + 2)*-2)**2 - (-5*sqrt(36)/((sqrt(132)*-1)/sqrt(11)))**2. 1125 Simplify ((3*sqrt(52) - ((sqrt(13) - (sqrt(13) + -2)) + sqrt(13))*-5) + 5 - (0 + (sqrt(208) + 3 + 1 - sqrt(208))))**2*-5. -8470 - 1210*sqrt(13) Simplify ((-1 + (2*2*sqrt(88))/(sqrt(48)/(sqrt(18)/sqrt(3) + sqrt(6))) + 4)*3)**2*-2. -12834 - 864*sqrt(11) Simplify (-2*(1*sqrt(288) + 1*sqrt(450)))/((sqrt(18) - (sqrt(18) + sqrt(18) + sqrt(180)/sqrt(40)))/((sqrt(12)/sqrt(2))/sqrt(3))). 12*sqrt(2) Simplify (1*(1 + sqrt(117)) - sqrt(117) - ((2*sqrt(117) - sqrt(117)) + sqrt(117) + -2))**2 + 1 + -3 + ((1 + sqrt(1573))*1 + -6*-1*sqrt(1573) + sqrt(1573))**2. 140*sqrt(13) + 101148 Simplify ((sqrt(2880) - (5*sqrt(2880) + sqrt(2880) + sqrt(2880)))*5)/(-1*sqrt(120)/sqrt(3)). 180*sqrt(2) Simplify (1*(sqrt(128)/(4*(sqrt(4) + sqrt(36) + sqrt(4) + sqrt(4))) + 1 + (sqrt(96) - (sqrt(96) + (sqrt(96) - (sqrt(96) + 1*sqrt(96))*5)))/sqrt(3) + 4))**2. 1085*sqrt(2)/3 + 47539/18 Simplify (-2*-4*((-1*sqrt(1100) - sqrt(11) - (sqrt(396) + 1)) + sqrt(44)/(sqrt(4) - (sqrt(4) + (1*sqrt(48))/sqrt(12)))*-3))**2. 1792*sqrt(11) + 138048 Simplify 5*(sqrt(304) + (sqrt(304) - (1*5*sqrt(304))**2))*-5 + (sqrt(304)*-3*5)**2 + 0 + sqrt(304)*6. -176*sqrt(19) + 258400 Simplify (-6*(4 + sqrt(3)) - (sqrt(48)*-5)**2) + (sqrt(36)/(sqrt(2)*-1))/((sqrt(6) + sqrt(96))*1). -1224 - 31*sqrt(3)/5 Simplify (-2*(sqrt(72)*2*-2 - (-5 + sqrt(72) + 0 - sqrt(72)))*-6)**2 - ((4 + (1*sqrt(72) - sqrt(72)))*5*4 + -3). -34560*sqrt(2) + 169411 Simplify ((sqrt(140)/sqrt(4)*-3 + sqrt(35) - 4*sqrt(140)/sqrt(4))/((sqrt(28) - sqrt(2268)*5) + sqrt(28))*4)**2. 720/1849 Simplify (3 + (-1 + sqrt(432) - sqrt(432))*1 + -3 - (-3*(sqrt(432) + 2) + sqrt(432)*4*5 + sqrt(432)))**2. -2160*sqrt(3) + 139993 Simplify (4 + -3 + -2*sqrt(832)*1 + ((sqrt(832) - -2*sqrt(832))*3 - sqrt(832)))**2. 96*sqrt(13) + 29953 Simplify -3 + (-2*sqrt(12)*-4 - sqrt(36)/sqrt(3)*-6)/(-4*(sqrt(864) + sqrt(864)*-1) + (-2*sqrt(864)*-2 - sqrt(864))). -3 + 7*sqrt(2)/18 Simplify (6*(-3*sqrt(110) - sqrt(110)) - (sqrt(110) - (sqrt(110) - sqrt(110)*-2*4)))/((((sqrt(100)*-1 - sqrt(100)) + sqrt(100))*2 - sqrt(100))/(1*sqrt(490))). 112*sqrt(11)/3 Simplify ((1*(sqrt(2057) + 0) - (sqrt(2057) + (sqrt(2057) - 4*(sqrt(2057) + 0)) + sqrt(2057))) + (6*-2*sqrt(2057) - (sqrt(2057)*-1 - sqrt(2057))*6) + 0)**2 + 4. 8232 Simplify ((sqrt(130) - sqrt(130)*-3)*2 + sqrt(130) - 1*sqrt(130)*-1)/(((sqrt(250) - -2*sqrt(250) - sqrt(250))*-4 + sqrt(250) -
{ "pile_set_name": "DM Mathematics" }
rt l. 780*l**2 Let u be (-2)/(-8)*-2*-6. What is the second derivative of 5 + 4*g**3 + 3*g**u - 5 + 23*g wrt g? 42*g What is the third derivative of -116 - 3*v**4 - 40*v**3 - 247*v**2 + v**4 + 234 - 118 wrt v? -48*v - 240 Let b(j) = 319*j**4 - 6*j**3 - 110*j**2 - 2*j. Let g(u) = -3*u**4 + 2*u**3 + u**2. Let w(v) = b(v) + 3*g(v). What is the third derivative of w(q) wrt q? 7440*q What is the third derivative of x**3 + 118*x**2 - 5*x**3 - 11*x**6 + 9*x**2 wrt x? -1320*x**3 - 24 Let w(h) be the second derivative of -173*h**5/4 - 805*h**3/6 + 856*h. Find the second derivative of w(a) wrt a. -5190*a Let x(v) = v**2 + 3*v - 7. Let y be x(-5). Let k = 116 - 112. Differentiate -4*c - 4*c**y + 0 - 2 + k*c with respect to c. -12*c**2 Let k(r) be the third derivative of 11*r**5/3 + r**4/24 - 47*r**3/6 + 5*r**2 + 11. What is the second derivative of k(x) wrt x? 440 Let q(k) = k**4 - 59*k**3 + 56*k + 3. Let i(g) = -g**3 + g - 1. Let o(d) = 2*i(d) + q(d). What is the second derivative of o(l) wrt l? 12*l**2 - 366*l Let v(d) be the first derivative of 44*d**3 - 15*d**2/2 + 45. Find the second derivative of v(x) wrt x. 264 Let c be (-3 - -2) + (0 - (1 - 5)). Find the third derivative of -4*w**2 + 19*w**3 + 6*w**2 - 10*w**c + 10*w**3 - 4*w wrt w. 114 Let g(z) be the second derivative of z**6/5 - 5*z**3/2 + z**2 + z + 26. Let f(c) be the first derivative of g(c). What is the derivative of f(y) wrt y? 72*y**2 Let z(x) be the first derivative of x**6 + 7*x**5/5 + 3*x**3 - 2*x**2 + 74. What is the third derivative of z(r) wrt r? 360*r**2 + 168*r Let o(k) = 11*k**4 + 0*k**4 + 5*k**3 - 13 + 5*k + 5*k**2 - 5*k**4. Let p(a) = -a**3 - a**2 - a. Let y(r) = -o(r) - 5*p(r). What is the derivative of y(f) wrt f? -24*f**3 Let b(u) be the second derivative of -9*u**4/8 + 29*u**3/6 + 14*u**2 - 2*u. Let f(a) be the first derivative of b(a). Differentiate f(m) with respect to m. -27 Let m(x) = -2550*x**4 - 21*x**2 - 1791*x + 42. Let p(t) = -255*t**4 - 2*t**2 - 179*t + 4. Let r(v) = 2*m(v) - 21*p(v). Find the second derivative of r(h) wrt h. 3060*h**2 What is the third derivative of -4*n**4 + 396*n**5 - 1068*n**5 - 85*n**2 + 494*n**5 + 2*n**4 wrt n? -10680*n**2 - 48*n Find the third derivative of 128*r**4 - 4 + 153139*r - 153139*r + r**3 - r**2 wrt r. 3072*r + 6 Let i(m) be the third derivative of m**8/168 - 8*m**7/21 + m**5/30 - 7*m**4/8 - 127*m**2. Find the third derivative of i(w) wrt w. 120*w**2 - 1920*w Let u(a) = 11*a**5 - 2*a**4 - 2*a**2 - 14*a + 2. Let y(d) = -d**4 - d**2 - d. Let n(m) = u(m) - 2*y(m). Find the second derivative of n(s) wrt s. 220*s**3 Suppose 5*g + 5 = 5*i, 10*g + 2 = 5*g + 2*i. Let p(b) be the third derivative of g*b - 5/24*b**4 + 0 - 5*b**2 + 1/2*b**3. Differentiate p(a) with respect to a. -5 Let m(i) = i. Let r(b) = 2*b**2 + 3*b**2 - 10*b**2 - 8*b**2 + 12*b. Let j(z) = -4*m(z) + r(z). What is the second derivative of j(h) wrt h? -26 Let a(k) = 17*k**3 + 3*k**2 - 3*k - 108. Let v(y) = 34*y**3 + 7*y**2 - 7*y - 215. Let m(n) = 7*a(n) - 3*v(n). Differentiate m(c) with respect to c. 51*c**2 Let q(f) = f**2 + 20*f + 39. Let d be q(-18). Find the third derivative of -4*h**3 + 23*h**2 - 154 + 154 - d*h**3 wrt h. -42 Let w = 11 + -6. Find the second derivative of -20*m**4 - w*m - 6*m + 17*m wrt m. -240*m**2 Let x(z) = -z**2 - 24*z - 17. Let i be x(-23). What is the second derivative of 7*f**2 + i*f + 2*f + 6*f - 6*f wrt f? 14 Let w(j) = -1. Suppose 6*v = 4*v + 2. Let t(f) = -2*f**2 - 6*f + 2. Let d(u) = v*t(u) + 2*w(u). Find the second derivative of d(h) wrt h. -4 Let p(a) be the third derivative of 7*a**6/30 - a**4/8 + 9*a**3 + 14*a**2 + 1. Find the first derivative of p(z) wrt z. 84*z**2 - 3 Let f(b) = b + 3. Let j be f(3). What is the third derivative of -426*g**5 + 8*g**j + 426*g**5 - 21*g**2 wrt g? 960*g**3 Let x(d) be the first derivative of d**8/24 - 7*d**4/8 + 7*d**2 + 24. Let m(b) be the second derivative of x(b). Find the second derivative of m(l) wrt l. 280*l**3 Let m(z) = z**2 + 6. Let j be m(0). What is the third derivative of 6*i**j - 5*i**6 - 17*i**2 + 16*i**6 wrt i? 2040*i**3 Let h be -2 + (-2)/(-1) + -2 + 4. What is the first derivative of 12*f**2 + 12*f**h + 20 - 9*f**2 - f**2 wrt f? 28*f Let k(h) = -h**2 + 6*h + 10. Let y be (-195)/(-27) + 2/(-9). Let d be k(y). What is the second derivative of -4*l - 2*l**3 + 5*l**3 + 2*l**d - l wrt l? 30*l What is the first derivative of -8*p**2 + 67 + 51 + p**3 - 5*p**4 - p**3 wrt p? -20*p**3 - 16*p Find the first derivative of -62 - 181 - 87*n + 129*n + 236*n wrt n. 278 Let n(x) be the first derivative of 4*x**5/15 + 7*x**4/12 + 6*x**2 - 4. Let j(u) be the second derivative of n(u). What is the second derivative of j(a) wrt a? 32 Let q be 1/(45/(-24) + 2). What is the second derivative of l**2 + 55 - q*l - 55 wrt l? 2 What is the third derivative of 28*c**3 - c**2 + 4*c**2 - 3*c**3 + 13*c**2 + 8*c**2 wrt c? 150 What is the third derivative of -61*p**4 - 72*p**5 - 1 + p**6 - 65*p**5 + 3*p**2 - 3*p**6 + 137*p**5 wrt p? -240*p**3 - 1464*p Let j(s) be the first derivative of -29*s**6/6 + s**5/5 - 44*s**2 - 217. Find the second derivative of j(o) wrt o. -580*o**3 + 12*o**2 What is the second derivative of 6*u**2 - 11*u + 8*u**2 + 63*u**2 wrt u? 154 Find the third derivative of t**2 - 4*t + 6*t + 203*t**4 - 43*t**4 + 4*t**2 - 88*t**2 wrt t. 3840*t Let p(y) be the third derivative of 0*y + 0 - 1/2*y**4 - 8*y**2 - 3*y**3. What is the derivative of p(b) wrt b? -12 Let u(f) be the second derivative of f**4/3 - 5*f**3/3 - 4*f**2 - 13*f. Let w(a) be the first derivative of u(a). What is the first derivative of w(s) wrt s? 8 Let j(m) = 7*m**2 + 3*m - 42. Let y(v) = 12*v**2 + 8*v - 84. Let u(h) = 7*j(h) - 3*y(h). Differentiate u(x) with respect to x. 26*x - 3 What is the first derivative of -550 + 88*t**3 + 873 - 426 wrt t? 264*t**2 Let d(w) = 2*w**2 + 73*w + 73. Let j(s) = -8*s**2 - 218*s - 218. Let f(c) = -7*d(c) - 2*j(c). Find the first derivative of f(q) wrt q. 4*q - 75 Find the first derivative of -4 + 71*t**2 + 75*t**2 + 21*t + 80*t**2 - 224*t**2 wrt t. 4*t + 21 Let o(n) be the second derivative of -n - 1/2*n**3 + 0*n**4 + 0 + 0*n**2 - 3/5*n**5. Find the second derivative of o(h) wrt h. -72*h Find the third derivative of 150*d**2 + 4 + 1894*d**6 + 0 - 2155*d**6 - 4 wrt d. -31320*d**3 Let m(u) = -3*u + 38. Let h be m(12). Let z(o) be the first derivative of 7/3*o**3 + 0*o - 4 + 0*o**h + 5/2*o**4. Find the third derivative of z(l) wrt l. 60 Let h be (-112)/24*(-6)/(-4). Let n = -4 - h. What is the first derivative of 4 + 2*t**2 - 7*t**n - 2*t**2 + 4*t**3 wrt t? -9*t**2 Let t be 82*(4 + -1)/6. What is the third derivative of -t*c**4 + 12*c**6 + 41*c**4 + 14*c**2 wrt c? 1440*c**3 What is the second derivative of -8*o + 242*o**4 - 4*o**2 - 39*o - 227*o**4 - 7*o wrt o? 180*o**2 - 8 Suppose 5*h + 105 = -4*s, -s + 4*h = 3*h + 33. Let a = s + 33. Find the first derivative of 7 - 5*v**3 - 2*v**a - 4*v**3 + 0*v**3 wrt v. -33*v**2 Let a(c) be the first derivative of 18*c**5/5 - c**3/3 - 71*c**2/2 + 56. Find the second derivative of a(m) wrt m. 216*m**2 - 2 Let r(u) = -18*u**3 + 6*u**2 - 6*u - 13. Let l(h) = h**3 + h**2 - h. Let t = 33 - 32. Let m(d) = t*r(d) - 6*l(d). Differentiate m(c) with respect to c. -72*c**2 Suppose -6*n + 4*n = -20. Let o be (-18)/(-171) - (-74)/19. Find the first derivative of -n*g + 10*g - 9 - 9*g**o wrt g. -36*g**3 Let r(j) = -16*j**2 + 518*j. Let n(b) = b**2 - 4*b. Let o(q) = -6*n(q) + r(q). What is the second derivative of o(y) wrt y? -44 Let b(d) be the first derivative of 13*d**4/4 - 5*d**3/3 + 181*d**2 + 994. Find the second derivative of b(w) wrt w. 78*w - 10 Suppose 2*q - 2 = 2*l, -4*l + 0 = -5*q + 6. Suppose q = -2*m + 20. Find the third derivative of 167*t - 3*t**6 + m*t**2 - 167*t wrt t. -360*t**3 Let j(x) be the third derivative of 0 - 3*x**2 + 0*x - 1/3*x**4 - x**3. Find the first derivative of j(y) wrt y. -8 Let k(v) be the third derivative of -5*v**8/84 - 233*v**4/24 + 53*v**2. Find the second derivative of k(o) wrt o. -400*o**3 Suppose -3*g + 8 = -10. Suppose 4*k + g*d = d + 6, -5*d = -5*k + 30. Find the second derivative of 2*c**4 - 2*c + c**k - 3*c wrt c. 36*c**2 Let i = -651 - -3263/5. Let j(h) be the first derivative of 6 + 0*h**3 + i*h**5 + 0*h**2 - 4*h + 0*h**4. What is
{ "pile_set_name": "DM Mathematics" }
ss ((2 - 5 - 1)*(0 - 1 + 2) - 1 + 3 - 4)*(29*b**2 - 210*b**2 + 79*b**2) as p + g*b + o*b**2 and give o. 612 Express (1 - 3 + 4)*(6*n**2 - 33*n**2 - 9*n**2) + (3*n**2 + 2*n**2 - 2*n**2)*(-4 + 4 - 1) in the form y*n**2 + k + h*n and give h. 0 Rearrange 2*h + h**3 - 3*h**2 + 5*h**2 + h**4 + 18 - 5*h**2 to the form l*h**3 + i*h**4 + b*h**2 + r*h + c and give b. -3 Express -30 - g + 32 + 2*g - 58*g**3 + 171*g**3 in the form i*g**3 + f*g + m*g**2 + r and give f. 1 Express -10*g**2 - 30*g**2 - 26 - g**3 + 54 - 20*g**2 - 2*g**4 - 27 as t*g + p*g**3 + h + i*g**2 + x*g**4 and give h. 1 Express (4*t**3 + 0*t**3 - 5*t**3)*(-33 - 54 - 20) as q*t + k + n*t**2 + c*t**3 and give c. 107 Express -4*y + 193*y**2 - 327*y**2 + 2*y + 2*y as d*y**2 + v + c*y and give d. -134 Express -37*j + 1590 - 41*j - 1590 as x*j + r and give x. -78 Rearrange 5*q**2 - 1162*q**3 + q**4 - 3*q**2 + 1164*q**3 + 24*q to d + z*q**2 + t*q**4 + j*q + p*q**3 and give t. 1 Rearrange -322*o**2 + 2*o - 327*o**2 + 647*o**2 + o**3 - 20*o**4 to the form c + w*o**3 + h*o**4 + s*o**2 + m*o and give m. 2 Express (-2*j + 4 - 4)*(-j + 2*j - 2*j) + 3778*j**2 - 3777*j**2 + 0 + 4 as m + t*j**2 + l*j and give m. 4 Express c + 4*c**2 - 3*c**3 - 5*c + 2*c**3 as z*c + d*c**2 + u*c**3 + s and give z. -4 Express (-2 + 3 + 0)*(-2*j + 3*j - 2*j)*(-418*j**2 + 326*j**2 - 38*j + 38*j) in the form u + d*j + c*j**3 + w*j**2 and give c. 92 Express 140*w + 92*w + 50*w**2 - 233*w as f + t*w + p*w**2 and give t. -1 Express -2*s**3 - 2 + 2 + (-66*s - 39*s + 22*s)*(3*s - 3*s + 2*s**2) + 0*s + 0*s + 2*s**3 in the form o*s + w + b*s**3 + n*s**2 and give b. -166 Express 9*c**2 - 30*c + 2*c**4 + 3 + 28*c - 4 as y + w*c**4 + q*c + b*c**2 + p*c**3 and give w. 2 Express 90*r + 51 - 39 - 96*r in the form s + v*r and give s. 12 Rearrange (-131 + 131 + 89*u)*(-4*u + 5*u - 2*u + 5*u + 0*u - 4*u + (3 - 4 + 3)*(3*u + 0*u - 4*u)) to the form h*u + a + s*u**2 and give s. -178 Express 3*x + x**3 + 7*x - 5*x**2 + 4*x + 2*x - 18 - 17*x as c*x**2 + r + d*x**3 + q*x and give q. -1 Express (2 - 8*u - 9*u**2 - 203*u**2 + 10*u)*(3 - 2 - 2) in the form g*u + x*u**2 + h and give x. 212 Express (71 - 287 + 53)*(-4 + 2*s**4 + 4) in the form f*s**2 + p + k*s + u*s**3 + z*s**4 and give z. -326 Rearrange -357*t + 338*t - 338*t to the form i + a*t and give i. 0 Rearrange (0 - 1 + 0)*(195887 - u - 6*u - 195144) to m + v*u and give v. 7 Rearrange (-6 + 2 + 2)*(-3 + 3 - 3)*(-4 + 4 - 2*s)*(36*s - 4776 + 4767 + 12*s) to the form c + t*s + h*s**2 and give t. 108 Express (-3*p**2 + p + p + 0 + 1)*(6899*p - 6899*p - 230*p**2) as v*p**4 + l*p + i + g*p**2 + r*p**3 and give g. -230 Rearrange (-1 + 2 - 2)*(-3 + 3 - p + (0*p - 2*p - p)*(2 - 1 - 3))*(-2*p**2 - 5 + 5) to u*p**3 + a + n*p**2 + s*p and give u. 10 Rearrange (430 - 19*q - 430)*(-1 + 1 + 2) + (0 + 2*q + 0)*(0 + 0 + 2) - q + q - q to the form a*q + x and give a. -35 Express -260*m + 31 - 31 + ((-3 - 1 + 2)*(2 + 1 - 5) + 1 + 6 - 3)*(3*m + 2*m - 3*m) + m + 4*m - 4*m as x*m + q and give x. -243 Express -133*a**2 + 90*a**2 - 205*a**2 as s*a**2 + l*a + z and give s. -248 Rearrange f**3 + 373*f**4 - f + 19 - 186*f**4 - 190*f**4 to the form u*f**2 + z*f + p + c*f**3 + h*f**4 and give h. -3 Express -5*q**2 + 2*q**2 + q**2 + 13*q - 1 + 6*q**2 - 13*q + (-2*q**2 + q**2 + 0*q**2)*(-1 + 7 + 2) in the form m + a*q**2 + p*q and give a. -4 Rearrange 307 + 2*m - 662 + 286 to the form l + q*m and give q. 2 Express (0 + p + 0)*(-2*p - 4 + 4)*(7*p - p - 3*p) as b + s*p**2 + c*p + m*p**3 and give m. -6 Rearrange 21*r + 121 - 4*r + r**2 - 8*r - 10*r to the form j*r + h*r**2 + i and give h. 1 Rearrange -92*q**2 - 63*q**2 - 25*q**2 to w + m*q**2 + u*q and give u. 0 Express (z - z - 2*z**4)*(-1 + 0 - 2) + (-1 + 2*z + 1)*(0*z + 5*z - 2*z)*(-3 + 1 - 6*z**2 - 3*z**2) as n*z**4 + p*z + j*z**2 + t*z**3 + c and give n. -48 Rearrange -2543*p**2 + 1434*p**2 + 2626*p**2 to n + y*p + r*p**2 and give r. 1517 Rearrange 6*m**4 - 20*m**3 + 41*m**3 - 3*m - 20*m**3 - 2*m to the form u + f*m**3 + r*m**4 + s*m**2 + b*m and give f. 1 Express -2*j**4 - 212 + 103 - 2*j**2 + 107 + 2*j**3 as n*j**4 + s*j**3 + q*j + t*j**2 + i and give i. -2 Rearrange -6 - 621*c + 6 + 0 - 300*c to x*c + w and give x. -921 Express ((4*j + 2*j - 3*j)*(3 + 0 - 1) + 3*j + 8*j + 2*j)*((3 - 3 - 2)*(-4 + 0 + 5) - 8 + 18 + 13) as g + f*j and give f. 399 Express -2 - 3*z + 2 + (-6*z - 4*z + 15*z)*(2 + 1 + 9) as q + f*z and give f. 57 Express -92*g + 939*g + 344*g in the form b + r*g and give r. 1191 Express -821*p**2 + 1407*p**2 - 917*p**2 as q + n*p**2 + l*p and give n. -331 Rearrange 2 - 6 + 0 - 121*p + 45*p + 2 to s + t*p and give s. -2 Rearrange (374 + 285 - 54)*(2 + t - 2) to the form q + d*t and give d. 605 Rearrange (2*q - 6*q + 2*q)*(-124 + 78 + 93)*(2 - 4 + 4) to the form n + t*q and give n. 0 Express 11 - 18 - 1 - 2*g in the form p*g + c and give p. -2 Express 3*m**2 - 265*m + 259*m + 4*m**3 - 2*m**3 + 16 - 2*m**2 as r + d*m + g*m**2 + n*m**3 and give r. 16 Rearrange 3*c**2 - 1162*c**3 + 4*c**2 - 4*c + 1161*c**3 - c**4 to v*c + f + x*c**3 + p*c**2 + b*c**4 and give p. 7 Rearrange -780*m - 3 + 2*m**2 + 5*m**4 + 780*m to w*m**2 + b + j*m**4 + h*m + t*m**3 and give w. 2 Rearrange -3*m**3 + 12 - 3*m**2 + 5*m**3 + 13 - 23 + m to l*m**3 + t*m + s*m**2 + c and give s. -3 Express 116 - 3*c + 6*c + 8*c - 10*c in the form i*c + g and give i. 1 Express 4*u**2 - 14*u**2 - u**3 + 10*u**2 - 5*u + 3 + 2*u - 3*u**4 in the form w*u + t*u**2 + m*u**3 + v*u**4 + y and give y. 3 Express 19*p**2 - 7*p - p + 12 - 32 + 20 as i*p**2 + j*p + w and give j. -8 Rearrange 7*x**3 + x + 17 - x**4 - 4*x**3 + 136*x**2 - 67*x**2 - 68*x**2 to the form d*x**4 + w*x**3 + m*x + p*x**2 + q and give q. 17 Rearrange 148*c - 174*c - 94*c + 460*c to t + s*c and give s. 340 Express (-3 + 2 + 0)*(19 + 21 - 4)*(i - 3 + 3)*(2 - 1 - 4) in the form z + u*i and give u. 108 Express (3*s**2 - s**2 + 0*s**2)*(-3*s - 6 + 6) + 3*s - 5*s + 10*s**3 - s in the form q*s**3 + p*s**2 + f + w*s and give w. -3 Express 7 - 21 + 469*k + 472*k + 477*k - 1423*k as n*k + l and give l. -14 Express 4*s**2 + 49326*s + 23 - 49326*s as c + m*s**2 + v*s and give c. 23 Rearrange 11*f - 4*f**2 - 15*f + 3*f + 4 - 61*f**3 + 60*f**3 to the form u*f + l*f**3 + x + n*f**2 and give n. -4 Express 932*w + 631*w + 303*w as h + n*w and give n. 1866 Express ((3 + 2 - 3)*(-5*a - 5*a + 5*a) - 2*a + 3*a + a)*(a + 10*a + 4*a) as l*a**2 + k + t*a and give l. -120 Rearrange 2*f**2 + 6 + 1454*f**3 - 1454*f**3 + 23*f**4 - 2*f to c + h*f**4 + r*f + n*f**2 + p*f**3 and give r. -2 Rearrange 0 - 834*c**3 + 3*c**2 + 849*c**3 - 3*c**2 - 2 - 3*c**4 - c**2 to the form d + i*c**2 + t*c + z*c**3 + u*c**4 and give i. -1 Rearrange -9 - 112*u + 222*u - 112*u to w + y*u and give w. -9 Rearrange ((1 + 3 - 3)*(0 + 2 - 9) - 3 - 2 + 6)*(-10*l + 4*l - 4*l) to the form a + m*l and give m. 60 Rearrange 73*u**2 - 12*u - 76*u**2 + 44*u + 94*u to r*u + n + j*u**2 and give n. 0 Rearrange (-2 - 3 + 3)*(7273*u + 187 - 7266*u - 31) to the form p*u + d and give d. -312 Rearrange 8 - 2*z**2 + 29 - 8 to c + o*z**2 + h*z and give o. -2 Rearrange -33*d**4 + 10*d**4 - d**3 + 5*d - 4*d + 7*d**3 - 3*d to m*d**3 + a + n*d**4 + f*d + i*d**2 and give m. 6 Express 0*y**2 - 3*y**2 - y**2 + (y + 3*y - 2*y)*(0*y - 4*y + y) + (-2*y - 3*y + 2*y)*(-3*y - 9*y - 2*y) in the form u + j*y + f*y**2 and give f. 32 Express 2*u**4 + 2*u**2 - 4431*u + 4431*u + 2*u**3 in the form b*u + p*u**3 + z*u**4 + r + v*u**2 and give v. 2 Rearrange 2*o**4 - 2 + 1 + 0*o**4 - 263*o**3 + 28*o**4 + 263*o**3 + (3*o**2 - 3*o**2 - 4*o**3)*(o - 5*o + 3*o) to n*o**4 + s*o**2 + k + r*o**3 + c*o and give k. -1 Rearrange (j - j + 2*j)*(9 - 16 + 23 + 1 - 3 + 1 + 1 + 4 - 3 + (-1 + 2 + 1)*(-1 + 1 - 1)) to o*j + h and give o. 30 Rearrange 0*d + 0*d + 10*d**2 - 8*d to p + g*d**2 + a*d and give g. 10 Rearrange 2*g + 0*g - 118*g**3 + 129*g**3 to a*g + h*g**3 + r + i*g**2 and give h. 11 Express -c**3 + 0*c**3 - 5*c**3 + (551 + 75*c - 551)*(4*c**2 + c**2 - 4*c**2) in the form w*c**2 + b + f*c**3 + x*c and give f. 69 Rearrange 195*w - 96*w + 210*w + 60*w - 4*w + 3*w + 0*w + 2*w - 3*w + 4*w + (2*w - 5*w + 2*w)*(0 - 2 + 0) to the form s + x*w and give x. 373 Express 26 - 37 - 28 + 6*r - 6 in the form m + u*r and give m. -45 Rearrange (182*z**2 +
{ "pile_set_name": "DM Mathematics" }
**2 - i + 1. Let u be b(1). Suppose 0 = u*k - 10. Let h(y) = -4*y**3 - 5*y**2 - y**2 + k*y**3. What is h(6)? 0 Let v(x) be the second derivative of x**6/120 + x**5/12 + x**4/24 - x**3/3 + 11*x**2/2 - 15*x. Let k(a) be the first derivative of v(a). What is k(-4)? 10 Let y(s) = -s**2 + 13*s - 21. Let n be y(11). Suppose -3*d - 12 = -6*d. Let t(b) = -11*b**2 + 2 + n - d. What is t(1)? -12 Let l = -64 + 66. Let k(g) be the second derivative of 1/12*g**4 - 1/3*g**3 - 1/5*g**5 + 1/2*g**l + 4*g + 0. What is k(1)? -4 Let y(l) = -l**2 + 6*l + 7. Let z be y(7). Suppose 1 = -5*o + 31. Suppose -18 = o*b - b + 4*t, z = -3*b + t - 4. Let i(a) = 4*a + 1. Determine i(b). -7 Let v(i) be the third derivative of i**4/12 - 4*i**2. Calculate v(1). 2 Let g(o) = -4*o**2 - 7*o + 3. Let v(u) = -u**2 + u + 1. Let r(s) = g(s) - 3*v(s). Let i be r(-10). Let q be 4 + (i - (1 + 0)). Let f(j) = -4*j - 1. Give f(q). -13 Let o(g) be the second derivative of g**4/12 + 4*g**3/3 + 9*g**2/2 + 11*g. Suppose 0 = 4*w - 12. Suppose 0*v = -w*v - 18. Give o(v). -3 Let y(m) = -2*m - 2 - 3*m**2 - m**2 + 0. Let r = -636 - -634. Determine y(r). -14 Let h(t) = 1 + t + 0*t + 6. Calculate h(-14). -7 Let q(x) = -2 + 0*x + 0 - 3*x. Let m = 41 + -46. Let o be 12/16*m/(10/16). Give q(o). 16 Let c(y) = -y - 4. Suppose 0 = 4*x - 2*x. Suppose 2 = -h - 0*h. Let o be 3/(h - -1 - x). Calculate c(o). -1 Suppose -5*o + 3*o + p = 2, 2*o + 3*p = -2. Let n(k) = 11*k. Calculate n(o). -11 Let z(r) be the third derivative of -r**4/6 - 19*r**3/6 + 10*r**2. Let a(f) = -2*f - 10. Let h(w) = -5*a(w) + 2*z(w). Give h(-8). -4 Let v(j) be the third derivative of 1/3*j**3 + 1/3*j**4 - 7*j**2 + 0*j + 0 - 1/60*j**5. Calculate v(6). 14 Let i(d) be the second derivative of -d**5/20 - 7*d**4/12 - d**3/6 + 7*d**2/2 + 425*d. Give i(-7). 14 Suppose -41 = -2*x - 9. Suppose -8*r - x = -4*r. Let u(z) = -2*z - z**2 - 3*z + 0 - 5. What is u(r)? -1 Let h = -460 - -469. Let b(l) = -l**2 + 13*l - 4. Give b(h). 32 Let h be (56/(-192)*-6)/(3/(-12)). Let o(a) = 5*a + 24. Give o(h). -11 Let c(i) = -i**2 + 9*i + 52. Suppose 126 - 48 = 6*a. Give c(a). 0 Let g(z) = -z - 1. Let i(x) = 1. Let h = -17 - -16. Let m(y) = h*g(y) + 2*i(y). Determine m(-7). -4 Let u(a) be the third derivative of a**6/120 - a**5/30 - a**4/6 + a**3/2 - 13*a**2 + 2*a. Determine u(4). 19 Suppose 0 = -3*p + d + 9, 1 = 5*p - 0*p + 3*d. Let j(g) = -3*g**2 - 2*g**p + 2*g**3 - 1 + 4*g**2 + 3*g**2. What is j(1)? 3 Let h(l) = -l**3 - 2*l**2 + l - 7. Let b = -134 + 130. What is h(b)? 21 Let h(a) be the first derivative of a**2 + 4*a + 35. Let i(s) = -s + 6*s - s**3 + s - 5*s**2 + 1 + s. Let t be i(-6). Calculate h(t). -6 Suppose 4*q = 4*h - 24, -8*h + 7*h + 2*q + 7 = 0. Let z(f) = f**2 - 4*f - 8. Give z(h). -3 Suppose 11 - 23 = -6*g. Let o(u) be the second derivative of 0 - 1/2*u**g + 5/6*u**3 + 4*u. Give o(2). 9 Let c(v) = 7*v**2 + 6*v - 11. Let t(a) = -4*a**2 - 3*a + 6. Suppose 3*y = -0*y + 15. Let d(f) = y*t(f) + 3*c(f). Let k be (10/4)/((-3)/6). Give d(k). 7 Let x(s) be the third derivative of s**6/120 + 2*s**5/15 + 3*s**4/8 + s**3/3 + 20*s**2. Determine x(-7). -12 Suppose -7*p = -5*p - 88. Suppose -4 = 2*k, 0*k + 4*k = 3*z - p. Let m(n) = 10*n + 7*n + z*n - 31*n. Give m(-2). 4 Let q(p) be the second derivative of 1/2*p**3 + 39*p + 0 + 1/2*p**2. Suppose -16 = u + 3*u. What is q(u)? -11 Let k(s) be the first derivative of s**3/3 - 7*s**2/2 - 13*s - 3. Let r be (-4 - 38/(-8))*12. Calculate k(r). 5 Let r(b) = -7*b - 19 - 35 + 60. What is r(5)? -29 Let n(l) be the second derivative of 11*l - 2/3*l**3 + 0 - 3/2*l**2. Give n(-2). 5 Let h be 88/(-5) + (-24)/60. Let u = 13 + h. Let s(d) = -10*d + 1. Let v(c) = 2*c. Let t(z) = -2*s(z) - 11*v(z). What is t(u)? 8 Let a = 20 + -13. Let z = -12 + 18. Let m(f) = -21*f + 14*f - f**2 + f**3 + 4 - z*f**2 + f**2. Calculate m(a). 4 Suppose n = -2*u + 143, -4*u + 125 = -2*u - 5*n. Let d = -40 + u. Suppose 7*o - o = -d. Let x(h) = -3*h - 6. Determine x(o). 9 Let u(w) be the first derivative of -w**2/2 - 2*w + 118. Determine u(-5). 3 Let h(w) be the first derivative of 1/3*w**3 - w**2 - 5*w + 11. Give h(4). 3 Let k = 1 + -3. Suppose 0 = -4*q + 5*j + 72, j = 4*q - 62 + 6. Let d(s) = -s + q*s - s**3 - 10*s + 2 - 1. Give d(k). 5 Let u = 18 - 19. Let a be (-15 - -17) + u + 1. Let l(k) = -k**a - 2 - 3*k**2 - 26*k**3 + 25*k**3. Determine l(-4). -2 Suppose 0 = 6*j + 8 - 32. Let s(b) be the first derivative of b**4/4 - 4*b**3/3 - 3*b**2/2 - b - 2. Give s(j). -13 Suppose -4*z = 14 - 34. Let i(x) = -x + 4 - 3 + z - 1. Determine i(0). 5 Suppose 4*f - 8*f - 4 = 0. Let k be f + (-1 - (4 - 36)). Suppose 0 - k = 5*o + 4*t, 4*o + 3*t = -23. Let r(a) = 2*a**3 + a**2 + a + 2. What is r(o)? -12 Let i(s) be the third derivative of -s**6/720 + 5*s**4/8 + 6*s**2. Let b(w) be the second derivative of i(w). Give b(-3). 3 Let q(k) = 17*k + 28. Let l(s) = 10*s + 15. Let h(r) = 5*l(r) - 3*q(r). Determine h(-4). -5 Let a(y) = y**2 - 4*y - 2. Let c = 930 + -923. Give a(c). 19 Let i(f) = -3*f + 32. Suppose 90 - 24 = 6*v. Calculate i(v). -1 Let c(b) = -b**3 - 2*b**2 + b - 2. Let w(t) = 3*t**3 + 7*t**2 - 4*t + 8. Let i(o) = 4*c(o) + w(o). Calculate i(0). 0 Let i(x) be the third derivative of -x**6/120 + x**5/6 - x**3/6 + x**2 - 26*x. Calculate i(10). -1 Let a(g) = g**3 - 2*g**2 + 1. Let w = -657 - -656. Give a(w). -2 Let q(h) = -1 - 1012*h + 2022*h - 3 - 1009*h. Determine q(9). 5 Let d(w) = 10780 + w**2 - 5388 - 5401 + 2*w. What is d(-5)? 6 Let d be 6/(-45)*-5*-6. Let j(w) = w**3 + 3*w**2 - 2*w + 6. Let x be j(d). Let l(i) = -i**3 - i**2 + 2*i. Calculate l(x). 0 Let x(b) = -b**2 - 7*b - 2. Suppose -4*v + 9 - 1 = 0, 4*s - 4*v = 0. Let m be 1/((-2)/36*2). Let o = s + m. Determine x(o). -2 Let d(w) = w**3 + 5*w**2 + 7*w + 10. Suppose 3*j - 4*n = j - 2, -4*j + 5*n - 7 = 0. Determine d(j). 7 Let u(m) = -m**3 - 4*m**2 - 4*m - 3. Suppose 6*z - 18 - 18 = 0. Suppose 0 = 17*h - 14*h + z. Determine u(h). -3 Let b(k) = k**2 - 11*k + 15. Let s be b(10). Suppose -s*r - 8 = -33, -19 = -2*c - 5*r. Let q(u) = -2*u**2 + 3*u**2 + u**2 - 3. What is q(c)? 15 Let z(m) = -7*m - 11 - 15*m - 1 + 16*m. Let p be z(-2). Let d(v) = -v - 6. Determine d(p). -6 Let j be 2/13 - 312/(-169). Let l be ((-26)/39)/(j/(-6)). Suppose 0 = -2*x - 3*m - 6, -x - x - l*m = 4. Let b(i) = -i + 1. Give b(x). 1 Let v(u) = 2*u**2 + 0*u - 1 + 0*u. Let r = 23 - 23. Suppose -4*p + 0*p - 8 = r. Give v(p). 7 Let j(r) = -r**2 + 23*r + 70. Let l be j(26). Let s(z) = z**2 + 5*z - 27. Give s(l). -3 Let m(t) = -12*t + 7. Let u = 1797 - 1794. Determine m(u). -29 Let b(w) = 12. Let j(x) = -2*x - 35. Let q(k) = 7*b(k) + 2*j(k). Give q(5). -6 Suppose -105 = -9*g + 12. Let x(q) = -q**3 + 12*q**2 + 11*q - 2. Calculate x(g). -28 Suppose 4*n - 37 - 15 = 0. Let r(i) = -2*i + 17. Determine r(n). -9 Let m = 43 - 40. Let n(x) = m*x + 18799 + 7*x - 18805 - 2*x**2. Give n(6). -18 Suppose -5*j + 9 + 6 = 0. Let s(q) = -2*q**j + 9 - 10 + 0*q**2 - 5*q**2 + 4*q**2 + 2*q. What is s(1)? -2 Let h(y) = -y**2 - 9*y - 6. Let o be h(-8). Let s(f) be the first derivative of -5*f**3/3 + 3*f**2/2 - 2*f - 33. Calculate s(o). -16 Suppose 2*x - 13 = -d, -4*x + 3*d + 8 = -3. Let k(q) = 4*q - 6*q + 1 + 2 - x. Determine k(2). -6 Let o(a) = a**3 - 6*a**2 + 2*a + 7. Suppose 5*n + 0 = -5*d - 5, -n + 7 = 5*d. Let h(t) = 3*t - 2. Let m be h(d). Let w be m + -6 + 4 + 3. What is o(w)? -8 Let h(y) be the second derivative of y**5/20 + 2*y**4/3 - y**3/6 - 3*y**2/2 + 22*y + 2. What is h(-8)? 5 Suppose o + 2*n - 6 = 0, -5*o + n + 19 = -0*o. Suppose 4*m + 4 = -4*i, 2*i - 4*m - 2 = 20. Let c(k) = -i + 8*k**2 - 8*k**2 + 5*k - k**2. What is c(o)? 1 Suppose 4*b - 207 = -5*b. Suppose -u + 2*u = -c + b, 3*c - 2*u = 59. Suppose -y + c = -4*y. Let x(l) = 2*l + 9. What is x(y)? -5 Let m = -791 + 797. Let y(g) = g**2 - 9*g + 25. Determine y(m). 7 Let c(r) = 273*r + 0 - 16 - r**2 + 0 - 283*r. What is c(-11)? -27 Let i(q) be the second derivative of -q**3/3 + 5*q**2/2 - 2*q - 15. Calculate i(7). -9 Let f(p) = 8*p - 4. Let t(k) = -7*k + 4. Let m(v) = 25*v**3 + v - 1. Let o be m(1). Suppose 0*j = 5*j + o. Let b(n) = j*f(n) - 6*t(n). Calculate b(3). 2 Let a(l) = l**2 + 13*l + 8. Let m be (13/65)/((-4)/220). Calculate a(m). -14 Let z(o) = o**2 + o - 4. Suppose q + 74 = 3*c, 5*q - 2*q - 114 =
{ "pile_set_name": "DM Mathematics" }
a. Is h not equal to 1? True Let g = -2/2259 + -94868/11295. Is g greater than or equal to -9? True Let y(o) = o + 3. Let b be y(-2). Let j be b/1 + -1 + 3. Suppose k = j*v - 11, -2*v = 2 - 10. Are k and -25 nonequal? True Suppose 2*u = 4*z - 3*u + 1, -27 = -2*z - 3*u. Let q(s) = -s**3 + 6*s**2 - s + 7. Let n be q(z). Let y = -438 + 437.9. Is n less than y? False Let w = -9 - -14. Suppose 3*o = w*o. Let h = 8/21 - -2/7. Which is greater: o or h? h Let o be (38 - -2)*6/(-12). Let x be ((-15)/50)/((-48)/o). Let j be (5/2 - 2)*2. Which is smaller: j or x? x Let j be 87/(-45) + 2 - 1443/12870. Is j at most as big as -32? False Suppose 535 = 2*u + 2*d - 7*d, 3*u = 3*d + 798. Suppose -3*n + u = 2*n. Suppose -47 - n = 5*k. Which is greater: -21 or k? k Let a(f) = -f**2 - 11*f + 1. Let d be a(-11). Let b be (-3)/(d - 28/16). Suppose l - b*l + 12 = 0. Which is bigger: l or 5? 5 Let x = 0.961 + 0.039. Is -421/4 at most as big as x? True Let k = -364 + 363.71. Which is smaller: k or 8? k Suppose -15 + 20 = f. Suppose 0*k + 265 = f*k. Is k not equal to 52? True Suppose 2*a + 48 = -4*k, 3*k - 2*a + 5*a = -36. Let c be (k/56)/((-4)/7). Let l(x) = x**3 - 2*x**2 + x - 1. Let w be l(2). Which is smaller: w or c? c Suppose 10*n - 6 = 13*n. Let g be (-1 - n)/(8/(-920)*-5). Which is smaller: g or 26? g Suppose 0 = s + 12*s + 3367. Is s greater than or equal to -259? True Suppose -8*q + 5*q = 0. Suppose 0 = -3*a + 3*l + 2*l + 110, -5*l + 65 = 2*a. Let z be (-2)/5*a/21. Which is smaller: q or z? z Let g = 27 + -18. Which is greater: -49 or g? g Let x be -5 - (0 - ((-59)/(-9) - 2)). Which is smaller: 1 or x? x Let j be (-22)/33 + 2/93*32. Is 1 > j? True Let c be (-2)/(-2) - 76/222. Let y = c + 1/111. Which is smaller: y or 1? y Let v(c) = c**2 + 16*c + 22. Let l be v(-15). Suppose -l*j = -0*j - 21. Which is greater: 10 or j? 10 Let z(s) = -s**3 + 5*s**2 - 4*s + 5. Let a be z(5). Let c be 6/a*(-6)/(-4). Suppose -13 = -26*g - 39. Which is greater: g or c? c Suppose 40 = 3*o + 10. Suppose -5*h - 5*t - o = -2*h, -3*t - 6 = -h. Are h and -1/20 non-equal? True Suppose 0 = -3*j + 2*u + 2*u - 11, 3*j - 14 = -u. Let v be (-8)/(-3)*j/36. Let y be 7 + (2/4)/((-3)/36). Which is bigger: y or v? y Let t = 0.04 + -0.14. Let j be (10 - (4 + 8))*(-10)/36. Is j less than t? False Let p = -1208 + 1209. Which is smaller: 128 or p? p Let f = 8 + -27. Suppose 568 - 208 = -20*v. Which is smaller: v or f? f Let q be -4 + -2 - (0 + 1). Let y(w) = -5*w - 7. Let m(l) = -l - 1. Let s(h) = -6*m(h) + y(h). Let t be s(q). Which is smaller: t or -7? t Let g = 1816 - 1786. Is 22 >= g? False Suppose 5*d - t - 3*t = -7, t - 1 = 2*d. Let r(f) = 3 - 3 - 1 + f. Let p be r(d). Which is smaller: -2/31 or p? -2/31 Let c be 1*147*(-2 - (-9)/3). Is c <= 443/3? True Let y be (-7)/(-34)*(-80)/(-140). Is y equal to 0? False Let w be (0/(-3))/(-2 - -1). Let u = 3779/5 + -765. Let t = u - -48/5. Is w equal to t? False Suppose 2*w + 0*w = 5*q + 85, -q = 5*w + 44. Which is bigger: -29 or q? q Let o = -1 - -16. Let t be (168/o)/(4/(-30)). Let z be ((-2)/(-4))/(6/t). Which is greater: z or -6? -6 Let s be 3130/(-410) + 1 + 6. Which is bigger: s or 0? 0 Let b be (-14)/(-2*(-1 - (-4)/8)). Is b > -20? True Let b be -2 + ((-11)/(-33) - (-368)/(-15)). Is b <= -27? False Let b be -2 + 1/(70/128). Let a = -187/70 - b. Let v(m) = 10*m**2 + 33*m + 7. Let f be v(-3). Is f <= a? False Suppose -242*n - 726 = -248*n. Is n equal to 0.1? False Let p = 15.926 + 0.074. Which is smaller: p or -1? -1 Let j be ((-2)/4)/((-4)/496). Let s = j - 63. Is s at least 0? False Let q = 2 - 0. Suppose -10 = 3*k + x, 2*k - q*x + 13 = 1. Let v = -279/2 - -135. Is k bigger than v? True Let s be 26/208 - (73/(-8))/(-1). Let w(k) = -2*k**2 - 3*k. Let c be w(-2). Let z(x) = -x**2 + 2*x - 1. Let t be z(c). Is t at least s? True Let r = 121 + -127. Suppose 3*i = -i + 20, -4*l + 3*i = 47. Are r and l equal? False Let o = 89 - 122. Which is greater: o or 0.8? 0.8 Let z(k) = k**3 - 16*k**2 - 16*k - 12. Let n be z(17). Suppose 0 = -2*q + 11*q - 63. Which is smaller: n or q? n Suppose 2*d + 18 = -5*a - 82, 0 = 5*a - 4*d + 70. Is a greater than -19? True Let d(k) = 4*k. Let a be d(-6). Suppose 0 = w + 4*j + 9, 5*j + 0*j = 4*w + 120. Which is bigger: w or a? a Suppose 4*t = 5*j + 5, 4*j - 5*j = 4*t + 1. Do -2/933 and t have the same value? False Let p(d) = -d - 10. Let w(n) = 2*n + 11. Let v(x) = 6*p(x) + 5*w(x). Let u be v(2). Suppose 5 = -u*a + 2. Which is smaller: 4/9 or a? a Let h = 7 + -7.03. Let w = 13.7 + 57.3. Let t = w + -71.3. Is h smaller than t? False Let s be (-42)/(-4)*(-336)/(-147). Is s at least as big as 49/2? False Suppose 0 = w + 4*w. Suppose w = -k - 4 - 6. Let v(y) = -y - 15. Let n be v(k). Which is greater: -7 or n? n Suppose 4*y - 26 - 30 = 2*v, -5*v + y - 158 = 0. Let g be (-28)/(-210) + v/330. Is 1 greater than g? True Let l = -73138 + 11775262/161. Let s = l + -3/23. Which is bigger: s or -1? s Let m = 109/8 - 14. Let y(s) = -s**3 + 7*s**2 - s + 8. Let k be y(7). Suppose 5*t = -3*o + 2 + k, 5*t - 4 = -4*o. Which is smaller: o or m? m Let i = -111.918 - -112. Let v = i + 0.618. Which is smaller: v or -2? -2 Let f = 727 + -421. Let a = 1544/5 - f. Let j(g) = 2*g**3 - 4*g**2 + g + 2. Let q be j(2). Does q = a? False Suppose 200 + 166 = 2*j. Is 183 equal to j? True Let o be 3 - -1 - (-7 + (-46)/(-4)). Is 80.7 > o? True Suppose 0 = 6*n - 5*n. Let l be (-14)/(-4)*2 + 1. Suppose 4*h = 8*h + l. Is h less than or equal to n? True Suppose 0*h - 12 = 3*h. Suppose 0 = -3*u - 3*z - 12, -4*z + 0*z - 4 = 2*u. Which is greater: h or u? h Let t(x) = -x**3 + 8*x**2 - x + 8. Let a(y) = y**3 - 12*y**2 - 13*y - 10. Let p be a(13). Let i be 3/(-15) - 82/p. Let z be t(i). Which is greater: z or -5/4? z Let l = -2/619 + 1248/3095. Is l > 0.2? True Suppose a - 21 = -2*l, 4*l - 15 = 3*l - 2*a. Suppose -4*h - 15 = l. Suppose -k - 6 = m, 3*k + m + 14 = -0*k. Is k greater than h? True Let b be (-303)/(-4)*(-648)/(-243). Is 201 <= b? True Let h = -12 - -8. Is h > -130? True Let g(h) = 31*h + 294. Let w be g(-8). Which is greater: w or 47? 47 Suppose -2*b - 6 = -z - 0*b, 20 = -2*z - 4*b. Let d = 243 + -210. Is z at least as big as d? False Let l = -2227 - -2230. Let z = -3 - -3.09. Is z less than l? True Suppose 4*g = -2*n + 18, -5*n + 2*g + 9 = -0*g. Let h be ((-42)/15)/(n/15). Let l be (h/21)/(4/18). Which is smaller: l or -5/2? l Suppose 7*k - 21 = 91. Which is smaller: 13 or k? 13 Suppose 56 - 209 = 3*f. Suppose -252 = 5*u - w, 5*u + 4*w + 71 = -171. Which is bigger: f or u? u Let v be (301/10)/(0 - 1). Let q = v - -1359/40. Let b = q + -17/4. Which is greater: 1 or b? 1 Suppose -a - 2*y = 4*a - 18, -14 = -4*a - 2*y. Let z be 2/4*(a - 16/4). Which is greater: -2/13 or z? z Let n(m) = -4*m + 13. Let y be n(3). Is 8/5 >= y? True Let m = -94 + 134. Suppose -3*l - m = -3*c + 2, 5*c = 3*l + 66. Do c and 13 have the same value? False Let o = -4 - -1. Suppose 6 = 3*v + c - 0, -5*v + 10 = -3*c. Suppose v*l + 3*k = 0, -4*k = 2*l - 8 + 4. Which is smaller: o or l? l Suppose 4 = 3*k + 4*n, 5*k = -n - 0*n - 16. Which is greater: k or -38/11? -38/11 Let h = -39 - -39.2. Let c = -0.05 + 4.55. Let z = -5 + c. Is h != z? True Let o = 400.1966 - 0.1966. Is 0 <= o? True Let g be 1 + 0 + (-45)/5. Let k be -3*g/12 + 7. Suppose -4*o - 2 = -b - 9, -b - k = -5*o. Which is smaller: b or 5/3? b Suppose -3*o = 46 - 166. Let t = 44 - o. Let v be (-2 + 45/12)*4. Which is bigger: v or t? v Let o(g) = -g**3 - 9*g**2 + 10*g - 4. Let v be 25*(2 - (-12)/(-5)). Let x be o(v). Let i = 67 - 72. Which is bigger: x or i? x Let o = -17 - -5. Let n = o + 24. Let j = 5 - n. Which is smaller: j or -2/5? j Let o(y) = 137*y**2 + y - 1. Let q(a) = -3*a + 8. Let p be q(3). Let v be o(p). Which is greater: v or 134? v Let n = -16 + 12. Suppose 0 = -z - 5*v + 12, -5*v = -z + 4 - 12. Let i = z + -4. Which is greater: n or i? i Let o = -0.2 + 11.2. Let q = -9.6 + o. Is 2/5 bigger than q? False Let s be (3/6)/((-22)/8). Let p = -56037/7 - -8018. Let d = 13 - p. Is s bigger than d? False Let i(l) = 2*l**3 + 57*l**2 + 72*l - 199. Let n be i(-27). Suppose -3*f = -f - 88. Is f >= n? True Suppose -5067*q - 3 = -5064*q. Which is greater: q or 57? 57 Let a = 141 - -317. Let z be a*(-5)/((-50)/(-3)). Let r = -137 -
{ "pile_set_name": "DM Mathematics" }
Simplify -4 + (sqrt(80)*1 + -1)*-4. -16*sqrt(5) Simplify 2 + (-1*sqrt(70))/sqrt(10) + 3. -sqrt(7) + 5 Simplify -2 + (1*sqrt(27))/sqrt(9). -2 + sqrt(3) Simplify -1 + 2*sqrt(243) + sqrt(243) + (sqrt(108) - (0 + sqrt(108))**2) + -2. -111 + 33*sqrt(3) Simplify 0 + ((sqrt(104)*-1 - sqrt(104)) + sqrt(104))/sqrt(8). -sqrt(13) Simplify -5 + sqrt(800). -5 + 20*sqrt(2) Simplify ((4 + sqrt(30)/(sqrt(54)/sqrt(9)))*-6)**2. 288*sqrt(5) + 756 Simplify (sqrt(20)*-5)**2*-4 - (sqrt(80) + sqrt(80)*1*-4)**2. -2720 Simplify sqrt(15)/sqrt(12) + 1 + (sqrt(20)/sqrt(4))**2. sqrt(5)/2 + 6 Simplify -1 + -5 + sqrt(425)*-4. -20*sqrt(17) - 6 Simplify (sqrt(13) + -2*5*sqrt(13) - (sqrt(104) + (3*sqrt(104) - sqrt(104)))/sqrt(8))**2. 1872 Simplify sqrt(170)/(sqrt(50)/sqrt(5)) + sqrt(34)/sqrt(2) + -1. -1 + 2*sqrt(17) Simplify 2*sqrt(1053)*-3 + -3. -54*sqrt(13) - 3 Simplify ((sqrt(175)/sqrt(5)*2 + sqrt(35) - sqrt(35))/(sqrt(448)*-2 + sqrt(448)))**2. 5/16 Simplify (1*sqrt(13))**2 + 0 + 1. 14 Simplify (-2*sqrt(3564))/sqrt(4). -18*sqrt(11) Simplify (-2*sqrt(228))/(6*-1*sqrt(3)). 2*sqrt(19)/3 Simplify ((sqrt(68) + -5*sqrt(68)*1)/(sqrt(144)*1))**2. 68/9 Simplify -3 + (sqrt(204)*3)/(5*(sqrt(3) - sqrt(48))). -3 - 2*sqrt(17)/5 Simplify ((sqrt(320) - (sqrt(320) + 2)) + 3 + (sqrt(320) - (3*(sqrt(320) + 3) - sqrt(320))))**2. 128*sqrt(5) + 384 Simplify (3 + 3*sqrt(76)/sqrt(4) + sqrt(190)/(sqrt(10) - sqrt(90)))**2. 15*sqrt(19) + 511/4 Simplify ((-5 + (sqrt(17) + 0 - sqrt(17)))**2 - (-2*sqrt(153))**2) + 3. -584 Simplify (-5 + -1*sqrt(18)*-3)**2 + 1. -90*sqrt(2) + 188 Simplify sqrt(51)/(sqrt(9)/(sqrt(3) + sqrt(3) + sqrt(48))). 6*sqrt(17) Simplify 5 + (sqrt(128) + (sqrt(128) - (sqrt(128) + (0 + sqrt(128))*4)**2) - sqrt(128)) + sqrt(128). -3195 + 16*sqrt(2) Simplify (sqrt(17)*-2 + -1)*5. -10*sqrt(17) - 5 Simplify (-1*sqrt(567))**2 + (sqrt(847) + 2)**2. 44*sqrt(7) + 1418 Simplify 2*sqrt(1539)*1 - -2*(sqrt(1539) + 2 - sqrt(1539))**2. 8 + 18*sqrt(19) Simplify (sqrt(99) + -2*sqrt(99)*2)/(sqrt(9) - (-1*sqrt(324) + sqrt(9))). -sqrt(11)/2 Simplify (1 + sqrt(171) + 1 + sqrt(171) + 2*sqrt(171)*2)**2. 72*sqrt(19) + 6160 Simplify (sqrt(66)*-1)/sqrt(6) - (-4 + 0 + sqrt(11)) - sqrt(33)/(sqrt(3) - -2*sqrt(12)/sqrt(4)). -7*sqrt(11)/3 + 4 Simplify sqrt(847)*-1 + -4. -11*sqrt(7) - 4 Simplify -6*(2 + sqrt(68))**2. -432 - 48*sqrt(17) Simplify (sqrt(400)/(sqrt(128) + sqrt(8))*-5)**2. 50 Simplify (-5 + sqrt(13) + sqrt(65)/sqrt(5))*3. -15 + 6*sqrt(13) Simplify (2 + 1 + sqrt(2299) + 3)**2. 132*sqrt(19) + 2335 Simplify (sqrt(275) + ((2*(sqrt(275) + -2) - sqrt(275)) + sqrt(275) - sqrt(275)) + sqrt(275))**2*-6. -14946 + 720*sqrt(11) Simplify 6*(5 + sqrt(1216)*-1 + 4). -48*sqrt(19) + 54 Simplify ((-1*(sqrt(70) + sqrt(70)*-2) - sqrt(70)) + sqrt(70))/sqrt(10). sqrt(7) Simplify (1 + sqrt(243))*1 + 5. 6 + 9*sqrt(3) Simplify sqrt(56)/sqrt(128) - (sqrt(847) + 0). -43*sqrt(7)/4 Simplify sqrt(66)/((sqrt(6) - sqrt(6)*-3)*1). sqrt(11)/4 Simplify 0 + (sqrt(8)/sqrt(4))**2 - (-1 + sqrt(128)). -8*sqrt(2) + 3 Simplify sqrt(120)/sqrt(10) - sqrt(12)/(sqrt(36) + sqrt(4)). 7*sqrt(3)/4 Simplify (sqrt(77) - (sqrt(77) + -6*(sqrt(77)*-2 - sqrt(77)) + sqrt(77)) - sqrt(77))/((sqrt(33) + sqrt(528))/sqrt(3)). -4*sqrt(7) Simplify 0 + sqrt(40)/(2*sqrt(800)). sqrt(5)/20 Simplify -3 + sqrt(45)/(sqrt(18)/sqrt(2)). -3 + sqrt(5) Simplify (sqrt(66) - 2*(sqrt(66) - (sqrt(66) - -1*sqrt(66))))/(sqrt(6) + 4*sqrt(96)). 3*sqrt(11)/17 Simplify (sqrt(1331) - (sqrt(1331) + (sqrt(1331) - 2*sqrt(1331)*-2)))**2. 33275 Simplify -1*sqrt(11) + -1 + -5. -6 - sqrt(11) Simplify sqrt(18)/sqrt(36)*3. 3*sqrt(2)/2 Simplify 3*(1 + sqrt(11) + sqrt(11) + sqrt(33)/sqrt(3) + 4) + -3. 12 + 9*sqrt(11) Simplify sqrt(20)/(sqrt(4) - (sqrt(64)*-1 + sqrt(4)))*-1. -sqrt(5)/4 Simplify -5 + ((2*sqrt(30))/sqrt(10) - (sqrt(3) - (-1 + sqrt(3)) - sqrt(3))*1). -6 + 3*sqrt(3) Simplify (-3*sqrt(88)*-4)/(sqrt(96)/sqrt(3)). 6*sqrt(11) Simplify 2 + sqrt(425) + sqrt(425) + 1. 3 + 10*sqrt(17) Simplify sqrt(10)/sqrt(2) + 2 - ((sqrt(5)*2)**2 + -4). -14 + sqrt(5) Simplify (-5*(2*sqrt(68) - sqrt(68)))/(1*sqrt(4)*6). -5*sqrt(17)/6 Simplify -5 + 4 + (sqrt(10)/sqrt(2) - sqrt(5))*-6 + 1. 0 Simplify (sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(44)/(-1*sqrt(4)))))*-1 - ((2*sqrt(484))/sqrt(11) + sqrt(44))/sqrt(4). -sqrt(11) Simplify 1 + sqrt(1539) + (-1 + sqrt(2299) - sqrt(2299))**2. 2 + 9*sqrt(19) Simplify (-4*(sqrt(2736) - (sqrt(2736)*1 + sqrt(2736))) + 5*(-1 + sqrt(2736)))**2. -1080*sqrt(19) + 221641 Simplify -1*(sqrt(5) - (-5 + sqrt(5)*1)) - (-3*sqrt(45) + sqrt(5) - sqrt(60)/sqrt(108))**2. -3170/9 Simplify -4 + ((sqrt(1872) - (sqrt(1872) + 1)*2) + sqrt(1872) - sqrt(1872)). -12*sqrt(13) - 6 Simplify (5*6*(sqrt(448) + 0))**2. 403200 Simplify 0 + 0 + sqrt(17) - (sqrt(17) + (-4*sqrt(68) - sqrt(17))). 9*sqrt(17) Simplify 3 + (3*sqrt(136)*1)/sqrt(8). 3 + 3*sqrt(17) Simplify 2 + sqrt(1872) + 2 + (4 + sqrt(1872))**2. 108*sqrt(13) + 1892 Simplify (-3 + 2*sqrt(243)*-1)**2. 108*sqrt(3) + 981 Simplify 2*(sqrt(17) - (sqrt(17) + sqrt(17) + sqrt(34)/((sqrt(2) - sqrt(4)/sqrt(2)) + sqrt(2))) - ((-2*sqrt(187))/sqrt(11))**2). -136 - 4*sqrt(17) Simplify (sqrt(114) - 3*3*sqrt(114))/(sqrt(6) + (sqrt(6) - (sqrt(726) + sqrt(726)*3)) - sqrt(6)). 8*sqrt(19)/43 Simplify 1*(-3 + sqrt(176)). -3 + 4*sqrt(11) Simplify -5*(sqrt(45) + -1*(sqrt(135)/sqrt(3))**2). -15*sqrt(5) + 225 Simplify sqrt(45)/sqrt(81) - (1*sqrt(180))**2. -180 + sqrt(5)/3 Simplify 4*(sqrt(7) - sqrt(112)*6). -92*sqrt(7) Simplify -2*-4*(3 + (sqrt(12))**2). 120 Simplify -5*(-6*(sqrt(102) + (sqrt(102) - (sqrt(102)*-1 - sqrt(102))) - sqrt(102)))/sqrt(6). 90*sqrt(17) Simplify (((sqrt(12)/sqrt(3))/sqrt(2) + (-1 + sqrt(288) - sqrt(288)))*-2)**2*-5. -60 + 40*sqrt(2) Simplify (sqrt(110) - (-3*-1*sqrt(110) + sqrt(110) - sqrt(110) - sqrt(110) - sqrt(110)))/(sqrt(810)*1). 0 Simplify sqrt(63) + 5 - (2*sqrt(7) + -3)**2. -32 + 15*sqrt(7) Simplify 2*((sqrt(128)*2)**2*-2 - sqrt(128)). -2048 - 16*sqrt(2) Simplify ((sqrt(108)/sqrt(3)*-2 - sqrt(36))/(sqrt(132)/sqrt(99)))**2. 243 Simplify (sqrt(5) - (sqrt(15)/sqrt(3)*5 + sqrt(5))) + (sqrt(5) - ((sqrt(5)*-2 - sqrt(5))*3)**2). -405 - 4*sqrt(5) Simplify ((0 + sqrt(300))*2)**2. 1200 Simplify 1 + sqrt(11) + 2 - ((sqrt(99) - (-2*sqrt(99) + sqrt(99) - sqrt(99) - sqrt(99)))/sqrt(9) - sqrt(11)). -2*sqrt(11) + 3 Simplify -5*sqrt(117) - (sqrt(130) - (sqrt(130) + 2*sqrt(130) + sqrt(130)))/sqrt(10). -12*sqrt(13) Simplify (((sqrt(130)*-2)/sqrt(10) - (sqrt(104) + 2*sqrt(104))/sqrt(8))*-5)**2. 8125 Simplify (sqrt(320) + sqrt(320)*-2 + sqrt(320) + 1 + -4)**2. 9 Simplify sqrt(26)/(sqrt(2) - (sqrt(2) + sqrt(8) - sqrt(2))) + 4. -sqrt(13) + 4 Simplify ((sqrt(2736) + 1)*-1)**2*1. 24*sqrt(19) + 2737 Simplify -5*(sqrt(320) + (sqrt(320)*-3)**2 - sqrt(320) - sqrt(320)) + 1. -14399 + 40*sqrt(5) Simplify (-1 + sqrt(125))*-3. -15*sqrt(5) + 3 Simplify sqrt(637) + (0 + sqrt(637))**2 - sqrt(52)/(sqrt(4)*2). 13*sqrt(13)/2 + 637 Simplify (2 + sqrt(13))*-3 + sqrt(13) + sqrt(91)/sqrt(7) + -3. -9 - sqrt(13) Simplify -2*-5*sqrt(5)*-2 + (0 + sqrt(5) + 5)*5. -15*sqrt(5) + 25 Simplify (-3 + sqrt(126)/sqrt(7) + sqrt(8)*-1)**2. -6*sqrt(2) + 11 Simplify (0 + -1*sqrt(152)/(3*(-2*sqrt(8) + sqrt(8))))**2. 19/9 Simplify (-6*sqrt(2)*3)**2 + sqrt(2) + (1 + sqrt(2) + sqrt(2) + 0)**2. 5*sqrt(2) + 657 Simplify -1 + (sqrt(4)/(sqrt(2) - (sqrt(2)*3 + sqrt(2))))**2. -7/9 Simplify ((sqrt(7200) - sqrt(7200)*-2) + sqrt(50))/sqrt(10) + -4. -4 + 37*sqrt(5) Simplify -3*3*(1 + sqrt(162) + 2). -81*sqrt(2) - 27 Simplify (sqrt(486)/sqrt(3) + sqrt(18))/(2*sqrt(1089) + sqrt(9)). 4*sqrt(2)/23 Simplify (-3*(-2 + (sqrt(1100) - (sqrt(1100) - (sqrt(1100) - (sqrt(1100)*2 - sqrt(1100)) - sqrt(1100))))))**2 + -4. 360*sqrt(11) + 9932 Simplify ((-5*(sqrt(475) + 2 + sqrt(475)) - sqrt(475))*5)**2. 27500*sqrt(19) + 1439375 Simplify (sqrt(2000) + 2*sqrt(2000) + sqrt(2000))/(-1*sqrt(36) - sqrt(4)). -10*sqrt(5) Simplify (3*sqrt(144) + sqrt(36))/(sqrt(12) + 2*sqrt(1200) + sqrt(1200)). 7*sqrt(3)/31 Simplify (sqrt(17) - (sqrt(68)*-2)/sqrt(4))*-2. -6*sqrt(17) Simplify 3 + (sqrt(5) + 5 + 5)**2*-1. -102 - 20*sqrt(5) Simplify ((sqrt(77) - 4*sqrt(77)*1)/(-2*sqrt(7)*-5))**2. 99/100 Simplify ((sqrt(2673)*1)/sqrt(3))**2 + 2. 893 Simplify 5*sqrt(2)*-2 + 2. -10*sqrt(2) + 2 Simplify sqrt(11) + (sqrt(11) + sqrt(44) + 3)**2 + 4 - ((sqrt(66)*-
{ "pile_set_name": "DM Mathematics" }
+ 52. What is the least common multiple of c and 9? 18 Let j = 1019 - 5089/5. Let l be ((-16)/(-6))/((-3)/18). What is the common denominator of (-98)/l + 1 + -2 and j? 40 What is the common denominator of 5 - (219/(-54))/((-228)/252) and 89/190? 570 Suppose 0 = -d - 3*n + 31, -5*d + 4*n = 8*n - 144. Calculate the common denominator of 43/14 and 2 - 1/d*-118. 14 Let v(i) = 162*i + 2. Let c be v(-5). Find the common denominator of -27/10 and (c/96)/((-2)/8*-6). 90 Suppose y - 2*l = 20, 2*l + 44 = 3*y + 4. What is the smallest common multiple of y and 10? 10 Let m(r) = 765*r + 7. Let f be m(2). Let u = f + -12351/8. Find the common denominator of 5/8 and u. 8 Calculate the lowest common multiple of 72 and 1/((39/216)/13). 72 Suppose 3 = -2*d + 9. Suppose -2*f + 4*a + 2 = -2, -d*a = 3. Suppose -5*z + 65 = -f*i + 5*i, -i + 15 = 3*z. Calculate the least common multiple of i and 16. 48 Let y be 0/(-5)*-1 + 85. What is the common denominator of (2/4)/(8/22) and 112/32*y/(-21)? 24 Let r = 1090 + -357527/328. Find the common denominator of -81/8 and r. 328 Let a = 1/10301 + -1493651/61806. Let o be (32140/(-66))/(44/(-33)). Let z = 365 - o. What is the common denominator of a and z? 66 Find the common denominator of -9/55 and (12/(-9))/((-12)/(-141)). 165 Suppose -4*z + 0 = -8. Suppose -18 = -n - z*n. Let u(l) = -4*l - 2. Calculate the lowest common multiple of u(-1) and n. 6 Find the common denominator of ((-39)/10)/(1728/1800) and -73/490. 3920 Let x(y) = 4*y + 1. Let t be x(1). Suppose 0 = -3*f + t*s + 32, 5*s + 67 - 21 = 4*f. Let p = 123 - 118. Calculate the smallest common multiple of p and f. 70 Let v(t) = -2*t**3 - 27*t**2 + 15*t + 21. Calculate the least common multiple of v(-14) and 18. 126 What is the common denominator of 99/76 and 1/(-3 - 774/(-262))? 228 Calculate the common denominator of 83/(-27)*(2060/120 + -17) and -89/144. 1296 Let u = -332 + 341. Suppose -p - p + 2 = 0. What is the lowest common multiple of p and u? 9 Let j(l) = -l**3 + 55*l**2 - l + 63. Calculate the smallest common multiple of 462 and j(55). 1848 Suppose -13 = -6*u + 5. Calculate the smallest common multiple of 7 and u. 21 Suppose 9058 = -13*y - y. Let l = y - -12937/20. What is the common denominator of -41/4 and l? 20 Let c = 24 + -4. Suppose 506 = 9*m + c. Suppose -h - 2*h = -m. Calculate the lowest common multiple of 2 and h. 18 Let h = -11 - -21. Suppose -m - 1 = -k, 5*k + 0*m = -m + 23. What is the smallest common multiple of h and 6/(2/(-1)) + k? 10 Let q = 552809/63 - 8775. Calculate the common denominator of q and -19/35. 315 Let s = 222 + -92. Suppose -3*i - s = -16*i. What is the smallest common multiple of 36 and i? 180 Let v be ((-67)/6146)/((-4)/(-14723)). Let u = v + 1/3073. Let y = u + 2041/40. Find the common denominator of y and 52/7. 70 Suppose 2*j - 3 = -3*h - 7, -3 = h + j. Suppose 4*w - h*w - 18 = -2*i, 3*i - 5*w - 3 = 0. Let c = -2 + 10. What is the smallest common multiple of i and c? 24 Suppose 50 = -4*b - f + 3*f, 0 = -2*b - f - 31. Let x = b + 24. Let t = 15 + -7. What is the least common multiple of x and t? 40 Let d(l) = 37*l**2 - 2*l + 3. Suppose -8 = 2*p - 4*b + 2, -2 = -2*b. Let f be d(p). Let a = 1361/4 - f. Calculate the common denominator of a and 2/9. 36 Suppose -2*x + 6*x = 16. Suppose 3*z - x*z - s = -7, -5*s = 2*z - 29. What is the lowest common multiple of 44 and z? 44 Suppose -14*y = -15*y - 3. Let c = y - -12. Calculate the least common multiple of 18 and c. 18 Let f = -172 - -178. What is the lowest common multiple of 22 and f? 66 Let h = -19421 - -407927/21. What is the common denominator of 7/94 and h? 1974 Let y = 15 + -10. Suppose 3*l = y*s - 30 + 101, -5*l + 3*s + 145 = 0. Calculate the lowest common multiple of l and 16. 32 Let h = 45769/90 + -2523/5. Let g = 7996/459 + -276/17. Find the common denominator of g and h. 54 Let j be (470/(-6))/((-9)/(-5) - 2). Let a = 388 - j. Calculate the common denominator of -53/33 and a. 33 Let x(q) = q**2 - q - 5. Let f be (-210)/(-55) + 2/11. Let n be x(f). Suppose -k = -2*k + n. What is the smallest common multiple of k and 13? 91 Let t = 5722/5 - 1148. Calculate the common denominator of t and -43/25. 25 What is the common denominator of (2 + 438/(-54))*-1 and 56/75? 225 Let d = 1663/5368 - 7/488. Let x = 6961/1010 + 4/505. What is the common denominator of d and x? 220 Let b be 32848/(-7) + (-6)/14. Let u = -28259/6 - b. Calculate the common denominator of 16/3 and u. 6 Let a be ((-4)/(-6))/(797/3). Let q = -459645429549/1594 - -288359727. Let k = a + q. Find the common denominator of -103/10 and k. 10 Suppose 8*t + 36 = 20*t. What is the smallest common multiple of 7 - (-2)/((-4)/(-6)) and t? 30 What is the smallest common multiple of (-206)/(-13) - (50/(-65))/5 and 88? 176 Let v(y) = -y**3 - 11*y**2 - 11*y - 36. Calculate the least common multiple of 20 and v(-12). 240 Let x = 148 - 118. What is the smallest common multiple of 135 and x? 270 Let v be (40/(-30))/(4/(-36474)). Suppose 5*i - 46543 = -v. Find the common denominator of -53/5 and 2/(-10) - i/(-1035). 45 Let l be ((-2)/(-4))/((-4)/(-48)). Calculate the common denominator of 131/70 and (l - 1) + (-1965)/240. 560 Let v(x) = 15*x**3 + x. Let g be v(1). Suppose -3*w + 27 = 2*n, 0 = 3*n - 2*w - 18 - g. Let c = 4069 + -4059. Calculate the smallest common multiple of n and c. 60 Let a(w) = -2*w + 1. Let t be a(-1). Suppose u - 2*d = 36, 2*d = 5*u + t*d - 147. Suppose 5*z - u + 0 = 0. Calculate the smallest common multiple of z and 4. 12 Suppose -v - 4*f = -3*f, -3*f = 6. What is the lowest common multiple of 6 and ((-660)/54 - v/(-9))/(-1)? 12 Let o be 3 - 4 - (4 + -1). Let s be 4/(-8) + (-14)/o. What is the smallest common multiple of 18 and (-24)/s*(-35)/14? 180 Let p be 6522/(-4) + 2/4. Let n be (-8)/p*(10 + -30). Let y = -10429/1630 - n. Find the common denominator of y and -5/2. 10 Let y(s) = s**2 - 10*s - 6. Let m be y(11). Suppose 10 + m = 5*f. What is the least common multiple of 18 and (-3 + f + -4)*-1? 36 Suppose 0 = l - 0 + 5. Calculate the common denominator of 10/l - (-150)/4 and -38/7. 14 Find the common denominator of (-9)/18 - 46/7 and ((-259)/84 - (1 + 0)) + 2. 84 What is the lowest common multiple of 42 - 0 - (0 + 0) and (-10)/(-12) + 2032/96? 462 Let y = -849/136 + 274/17. Let i = 53 + -84. Let q = 179/6 + i. What is the common denominator of y and q? 24 Let z = 132 - 247/2. Let m = -725/7 + 12427/126. Calculate the common denominator of m and z. 18 Find the common denominator of (-1650)/180*(4/5)/(-2) and -87/2. 6 Let a = 5860 - 82083/14. Let w = 3006 - 23965/8. What is the common denominator of a and w? 56 Let o = -34949/11 - -338801/66. Let t = o - 1966. Let p = 76/7 + 165/28. What is the common denominator of t and p? 12 Suppose 1430 + 157 = 23*p. What is the smallest common multiple of 345 and p? 345 Let r(k) = -k + 2. Let w be r(-18). Calculate the common denominator of -65/2 and 13/(-5) + w + -17. 10 Suppose 76 = 4*i + 5*q, 53*i = 49*i + 4*q + 112. Suppose -j = 3*j - 24. Calculate the least common multiple of j and i. 24 Let z = 2081/4 - 523. Let o be -1 - 12/(-424)*-441. Let p = 1/53 - o. What is the common denominator of p and z? 4 Calculate the common denominator of 178/4*12/36 and -5 - ((-4676)/(-72))/(-7). 18 Let u = 53 + -44. What is the lowest common multiple of 135 and u? 135 Suppose -3*w = 200 - 221. What is the least common multiple of w and 5? 35 Let b(y) = 4*y - 18. Suppose 0 = x + h - 3, 5*x - 30 = 2*h + 6. What is the lowest common multiple of 33 and b(x)? 66 Let h = 34793/20 + -1738. Calculate the common denominator of h and -37/72. 360 Let x = -51 + 95. Suppose -4*y = 4*v - x, -4*v - y + 50 = -3*y. Suppose 0 = -7*p + 26 + 16. Calculate the lowest common multiple of v and p. 12 Suppose 20*m - 98 = 42. Calculate the lowest common multiple of m and 3. 21 Find the common denominator of 29/9 and ((-6)/(-208))/((-1077)/(-180) - 6). 234 Suppose 141 = -l - o - 2*o, -5*o = 15. Suppose -3*z = -4*z + 14. Calculate the lowest common multiple of z and (-22)/l + 430/12. 252 Let u be (3 - 27/6)*138/(-9). Let v(m) = -m**2 + 23*m + 6. Calculate the smallest common multiple of v(u) and 3. 6 Let a(m) = m**2 - 10*m - 15. Let i(s) = -7*s - 16. Let f be i(-4). Calculate the least common multiple
{ "pile_set_name": "DM Mathematics" }
319350441 Which is bigger: 779136 or 779135? 779136 Which is smaller: -5564826 or -5564828? -5564828 Is 6209127 <= 6209128? True Which is smaller: 0.1 or -4003/971? -4003/971 Is 1/88 less than or equal to -22555/8? False Which is smaller: 8852544/67 or 132128? 8852544/67 Which is smaller: -7815933 or -7815974? -7815974 Which is smaller: 1 or 1343/1493? 1343/1493 Is -296038 less than or equal to -294992? True Is -23 > -11/30936? False Is -458 less than or equal to -45795? False Which is bigger: 10.6977 or -48? 10.6977 Which is greater: -990096 or -990112? -990096 Which is greater: 8403 or 1/220? 8403 Which is bigger: 844245 or 844177? 844245 Which is greater: -3457.13 or -6/289? -6/289 Which is greater: -24030 or 342? 342 Is 185/288503 != 0? True Which is bigger: 70593547/8 or 0.1? 70593547/8 Is 7057945/59 <= 119627? True Do 8787709 and 8787713 have the same value? False Is 25050/637 > 40? False Are 73.62 and 6.056 nonequal? True Does -411927 = 6? False Do -23235.691 and -0.2 have different values? True Is -1354 != -5.297? True Does -444591 = -6224269/14? False Is 7567754/3 less than or equal to 2522586? True Which is smaller: -447 or -287008/643? -447 Which is smaller: 26652.37 or -0.282? -0.282 Does -718992 = -719075? False Which is bigger: -266137/63 or -4224? -4224 Which is smaller: -246111 or -246113? -246113 Which is bigger: 6847/6310 or 2? 2 Which is greater: 160020969 or 160020967? 160020969 Which is smaller: -3731730 or -3731744? -3731744 Is -91663/102 at least -898? False Is -347647 less than or equal to -509? True Which is smaller: -449312 or -448699? -449312 Do 799602425 and 799602424 have different values? True Do -3895/11781 and 0 have the same value? False Which is bigger: 664286 or 664310? 664310 Which is greater: 8 or 6697/798? 6697/798 Are 6004950 and 6004954 nonequal? True Which is smaller: -287109 or -287151? -287151 Is 52593 at most -878? False Is 365 at most -1954.97? False Which is smaller: -204/13965817 or -1? -1 Which is bigger: -673/1298735 or 1? 1 Which is smaller: 52404 or 53190? 52404 Which is smaller: 9712/1567 or 5? 5 Which is smaller: -566 or -186040/329? -566 Is -88 equal to 126496? False Is -8436/715 at least -11? False Is 39718326 smaller than 39718327? True Which is bigger: -2228/4811 or 0? 0 Is 88 equal to 74/3? False Is 35819 <= 37289? True Which is bigger: -483/1233245 or -1? -483/1233245 Is 1768 greater than or equal to 469? True Is 128 bigger than -61303? True Is 8595705 >= 8595703? True Which is smaller: -150150 or -12312227/82? -150150 Which is greater: -1 or -1748/29537? -1748/29537 Which is smaller: 99443 or 1736? 1736 Is -64872 greater than -65595? True Which is greater: 39082/17245 or 1? 39082/17245 Which is greater: -331333 or -331336? -331333 Which is bigger: 65 or 0.6198445? 65 Is -1 < -146/5186965? True Which is smaller: 236120 or 235304? 235304 Which is bigger: -1 or -10/77018953? -10/77018953 Which is greater: 27559573 or 27559575? 27559575 Do 14102763 and 14102767 have the same value? False Do 564609 and 564824 have different values? True Is 0 smaller than 11/23235144? True Is -31.2776 bigger than 395? False Is -58537373 equal to -58537374? False Are -1 and -1752/32057 unequal? True Does 1 = 3/11795585? False Are -2905483 and -2905732 equal? False Which is smaller: -5/419 or -8463/2? -8463/2 Which is bigger: -1723 or -321964/187? -321964/187 Which is smaller: -401215 or -401219? -401219 Which is smaller: 240 or 83024? 240 Which is bigger: 16 or 146839/9188? 16 Which is smaller: 89797853 or 89797852? 89797852 Which is greater: 1498600/527 or -0.1? 1498600/527 Which is greater: -474923343 or -474923344? -474923343 Which is smaller: -8216433 or -8216430? -8216433 Is 4643 < 15.85? False Which is greater: 1711 or 511352/299? 1711 Are -297427128 and -297427128 equal? True Which is smaller: 6082 or 0.37998? 0.37998 Is 2319244 > 2319244? False Which is smaller: -1155863793/2 or -577931897? -577931897 Is 0 at least as big as -13503441? True Are -6381 and 2054 nonequal? True Are -111967715 and -111967715 non-equal? False Which is smaller: 10782396/23 or 468799? 468799 Is 218596261 at least as big as 0? True Which is greater: 9718/5 or 1538? 9718/5 Is -91 < 528522? True Which is smaller: -8108/6003 or -1? -8108/6003 Is -293 > 724.73? False Which is smaller: -1538 or -119736? -119736 Is -635680 bigger than -635674? False Which is greater: -33036/6461 or -6? -33036/6461 Which is bigger: 17984 or 21784? 21784 Is -10/23003569 <= 0? True Which is greater: 356601971 or 356601970? 356601971 Which is greater: -44 or -1763516? -44 Is -57722465/9 > -6413606? False Which is bigger: 18/2371657 or 1? 1 Which is smaller: -4/58795 or -0.2? -0.2 Are 118771674 and 118771674 non-equal? False Is -2430574 smaller than 71? True Does 99735511 = 99735511? True Which is greater: 7150180 or -7? 7150180 Which is smaller: 15849 or 11946? 11946 Are 0 and -397/718563 non-equal? True Is 1 >= 157/1107676? True Which is smaller: -1948 or 3998? -1948 Which is smaller: 2/7 or -120311.97? -120311.97 Is -7752 greater than or equal to -11975? True Which is greater: -2/17 or 304/1009? 304/1009 Which is smaller: -151/86641 or 1? -151/86641 Is -19529 < -19253? True Which is greater: 3665 or -2814? 3665 Which is greater: 20544 or 20528? 20544 Is 23.82 > 1967/3? False Which is greater: 1005034 or 1005031? 1005034 Is 33.6732 equal to 3117? False Are 1 and -4/59825771 nonequal? True Is 6/1027 less than 16320? True Which is bigger: 17804096 or -2/3? 17804096 Is 472 >= 488923/1039? True Is -1 smaller than 504/1785233? True Is 28831/5189 smaller than 7? True Is 0 greater than or equal to 2549/736334? False Which is smaller: -11820580 or -11820618? -11820618 Is 62882986 bigger than 62882985? True Which is smaller: 1/4 or -1534626? -1534626 Are -8740 and -10190 non-equal? True Is -12602582/9 bigger than -1400286? False Is -38620304 at most -38620304? True Is -7 >= -2479960? True Are -3440 and -909 equal? False Which is smaller: 749 or 662684/883? 749 Which is smaller: -1/55595887 or -1? -1 Is -5 less than or equal to -3/62528? True Which is bigger: -16/2357 or -107? -16/2357 Is -26186072 > -26186075? True Which is smaller: 1/568 or -4/30015? -4/30015 Is 0 at most -4615/23513? False Is 1 equal to 1/272516463? False Is -529/173 <= 19? True Is -54 greater than -233730/4321? True Which is smaller: 163568 or 303? 303 Which is smaller: 139840583 or 139840586? 139840583 Which is smaller: -3882 or -49? -3882 Is -5/573304832 equal to 0? False Which is bigger: -30829/4971 or -6? -6 Is -152 less than -80481/527? False Is 29946 < 2126100/71? False Do -80092903 and -80092904 have the same value? False Are -1 and -1/32734565 non-equal? True Which is smaller: -1942 or -1472? -1942 Is 9/263 >= 467532? False Do 57010646 and 57010648 have the same value? False Is 8138/7899 at most 2? True Are -1 and -2/35064277 nonequal? True Which is greater: -3622767/4 or -905691? -905691 Is 1 at least 35275/128464? True Is -2 < -4541/1388? False Which is smaller: -10653983 or -95885858/9? -95885858/9 Which is smaller: 6144243 or 6144237? 6144237 Are 61898035 and 61898043 nonequal? True Is 2/131 at least -113355? True Which is smaller: 1909 or 5/219? 5/219 Which is smaller: 1097443 or 1097441? 1097441 Does -4.562 = -3337? False Is 1887588 bigger than 1887649? False Which is greater: -3523 or -1741? -1741 Which is smaller: -1/17 or -761604? -761604 Which is bigger: 1.922 or -103.31? 1.922 Are 191067553 and 191067553 equal? True Are -1/528109568 and 1 non-equal? True Which is bigger: -0.5 or -685174? -0.5 Is -16956216 less than -16956215? True Which is greater: -1434244 or -88? -88 Is -57500 at most -14888? True Which is smaller: 18/13 or -393.964? -393.964 Is 0 less than -1/3320121? False Which is bigger: -230001 or -229929? -229929 Is 0 at most -5/18006569? False Is -7452/19 <= -0.04? True Is 1305/2 less than or equal to 9551? True Is -0.2 less than 137/422480? True Are 5798362 and 5798355 nonequal? True Is -11224613/2 less than -5612306? True Are -46.9 and 1478986 nonequal? True Which is greater: -429.331 or -53? -53 Are -69 and -69011 non-equal? True Which is smaller: -649623319 or -649623317? -649623319 Which is bigger: -2279354 or -2279372? -2279354 Is -302127973 greater th
{ "pile_set_name": "DM Mathematics" }
= c + 937. Is l composite? False Let z = -216769 - -472886. Is z composite? False Let g = 1142900 + -405289. Is g prime? False Let o be -7 + 16/(-4)*-2. Is o*-3037*(0 - 1) composite? False Suppose -3*k = 5*z - 3207138 - 780557, -5*z - 4*k + 3987695 = 0. Is z a prime number? True Let z(m) = -8801*m + 98. Is z(-3) a prime number? True Let j = -7900 - -12761. Is j a composite number? False Suppose 4*s - 23*v + 26*v - 242980 = 0, -5*v = -4*s + 242980. Is s prime? False Let j be 2 + (4 - 7) - (-2 + 1927). Let m be (-1 + j/4)*-4. Suppose -7*p + 7887 = m. Is p composite? True Let p(s) = -2660*s - 3 - 1 + 1. Suppose -3*h + 19 = -3*q + 16, -4*q - 2*h - 4 = 0. Is p(q) a composite number? False Suppose 12*l + 2*l = -10*l + 3078168. Is l a composite number? False Is (812/29 - 186)/((-2)/3271) composite? True Let f(r) = r**2 + 23*r - 111. Let y be f(-15). Is ((-307)/(-2))/(y/238 - -1) a prime number? False Let c(s) = -s**3 - 10*s**2 + 3*s + 20. Let d be c(-14). Let z = d - 418. Let a = z - 95. Is a a composite number? True Let n be (-28)/(-10) - -1*(-8)/(-40). Suppose -5*u + 0*u - 4*k + 26623 = 0, 0 = -n*k - 9. Is u a prime number? False Let j(w) = 75700*w**2 - 32*w - 1. Is j(-1) prime? True Let d(q) = 668*q - 73. Let r be d(6). Suppose -r = 41*n - 46*n. Is n prime? True Let i(t) = 311*t**2 - 86*t - 1061. Is i(-8) a prime number? True Suppose -3*z = 2*v, 2*v + 0 = -2*z - 2. Let r(g) = g**3 - 9 + 31*g**z - 13*g**2 - 6*g - 15*g**2. Is r(7) composite? False Suppose 28*d - 5 = 23*d. Let p be d/(-3)*36/(-4) - -1. Suppose -b - 2*z = -4*b + 4091, -b - p*z + 1345 = 0. Is b a composite number? False Let l(v) be the second derivative of 191*v**5/20 + v**4/12 - 19*v**3/6 + 41*v**2/2 - 13*v - 2. Is l(2) a composite number? True Let s(z) = 6*z**2 - 29*z - 160. Let d(m) = -6*m**2 + 27*m + 159. Let p(w) = 3*d(w) + 4*s(w). Is p(-18) a composite number? False Let k = 1018 + -94. Suppose 12*s - 10008 = k. Is s prime? True Suppose -32*g = 252*g - 41422252. Is g a prime number? False Let p = 2275 + -2266. Let l(v) = -2*v**3 + 13*v**2 - 13*v + 17. Let t(y) = 6*y**3 - 39*y**2 + 39*y - 52. Let j(b) = 8*l(b) + 3*t(b). Is j(p) a composite number? True Suppose -25 = 5*r, -g - 2*r - 8 = 1. Let y(l) = 1950*l**2 + l - 2. Is y(g) a composite number? False Suppose -b = -1, -4*o = -0*b - 3*b + 223. Let m = 115 - 115. Is (o + m)/(-19 + 18) prime? False Let w = -68 + 121. Let j = 61 - w. Suppose -243 = -s + j. Is s a prime number? True Suppose -3*m + 9953 = 5*w, 3413*w + 4*m = 3417*w - 7988. Is w a prime number? True Let r(c) = 194*c**2 + 286*c + 43. Is r(26) prime? False Let y = -564 - -562. Is (7 + -6)*y + 32833 a composite number? False Let q(p) = 135*p**2 + 18*p - 115. Let w be q(15). Let a = -16881 + w. Is a a composite number? False Is 18739 - (-8 - (-10 - -2)) a prime number? False Let f = 116739 - 50308. Is f a composite number? False Let a(o) = 19*o**2 + 5*o + 3. Let s(j) = -j**2 + 1. Let p(i) = 11*i**2 + 3*i. Let z(d) = -p(d) - s(d). Let q(g) = 6*a(g) + 11*z(g). Is q(-8) composite? True Is 57 + -65 + (1 - -52459) + -5 prime? False Suppose 7*d - 523906 = -12*d. Suppose -10192 = -23*r + d. Is r prime? False Let v = 9 - 7. Suppose v*n - 3169 + 445 = 0. Suppose -m = -n + 409. Is m a composite number? False Let u = 156 - 22. Suppose 57*f + u = 58*f. Let v = f + 245. Is v a composite number? False Let z = -58 + 62. Let b be z/(-5) - 17704*(-1)/5. Suppose -y = -b - 119. Is y a prime number? True Suppose -2*w + 13 = -4*w + b, 0 = -4*w + b - 23. Let g be (w/(-3))/((-8)/(-24)). Suppose 0 = 2*f - g*m - 293, f + 3*m - 655 = -4*f. Is f a prime number? False Suppose -2*r - 22*c + 1497109 = -17*c, 0 = 4*r + c - 2994263. Is r a prime number? True Suppose -7*p + 2*p + 10 = 0. Suppose -3*q - 11606 + 2287 = -2*g, p*g - q - 9321 = 0. Is g prime? False Suppose -1717275 = z - 4*z. Suppose 5*a - z = -30*a. Is a prime? False Let v(s) be the third derivative of 43*s**5/30 + s**4/4 - 11*s**3/6 + 86*s**2. Is v(3) a prime number? False Suppose s + 71 = 3*i, -s = 5*i - 4*s - 125. Suppose -i*f = -9*f - 5837. Is f a prime number? True Suppose -3*y + 134 = 128. Suppose 5*a - 4*l - 174023 = 0, -a - 3*l + y*l + 34810 = 0. Is a a composite number? False Let a(h) = h**3 + 2*h**2 - h + 479. Let w = 55 + -85. Let m = 30 + w. Is a(m) composite? False Suppose 5*q = -31 - 44. Let b be 8 + (-175592)/20 - (-4)/(-10). Is (-9)/q - (-2 + b/5) a prime number? False Let a be 39/(-4) - 23/92 - -4. Is 15/a*(1 - 398/10) prime? True Let g = -6777 - -10460. Is g a composite number? True Let s be (3 - -5)/(-4) - (2 + -46). Let u = s + -37. Suppose -6*x + 409 = -u*x. Is x composite? False Suppose 0 = 5*d - 3*q - 317, q + 1 + 3 = 0. Let c be (4 - -2 - 1)*d/1. Suppose -4*y - k = -c, y - k = 55 + 25. Is y composite? True Let b(a) = 7 + 6 - 8 - a - 3. Let t be b(0). Suppose -723 + 86 = -2*f + 5*r, 2*f - t*r = 646. Is f prime? False Suppose -2*d = -20 - 2. Let h be (-1)/(-3)*(d - -4). Suppose -2*n - 4*u = -1118, -n + u - h*u = -559. Is n a composite number? True Suppose -3*g - 4*u + 68489 = 0, 0 = 50*g - 44*g + 3*u - 136953. Is g composite? True Let v(w) = w**2 + 6*w + 8. Let y be v(-5). Suppose k + 247 = -5*x, -3*k + y*x = -x + 646. Let h = k - -551. Is h composite? True Suppose 797*z - 34331714 = 703*z. Is z a composite number? False Suppose t - 1354801 = 2*v, 138*t - 5419239 = 134*t + v. Is t composite? False Suppose -f + 731*d = 735*d - 11161, -3*f - 3*d = -33546. Is f composite? True Is (-2 - 1)/(9/(-150933)) a prime number? True Is (-81128)/(-3) - (2/(-4))/(72/48) a composite number? False Let r(q) = q**3 + 8*q**2 + 8*q - 5. Let m be r(-7). Let c(f) be the second derivative of f**5/20 + 25*f**4/12 + f**3/3 - f**2/2 + 194*f. Is c(m) prime? True Let j = -107 + 113. Suppose -24 = -j*c + 10*c. Is 1*(-8)/24 + (-68)/c prime? True Suppose 0 = 72*p - 67*p - f - 1181939, 4*p = 2*f + 945556. Is p composite? False Suppose -149*l + 4040761 = -92*l + 116*l. Is l a composite number? False Let h = 46 + -66. Is (7/(35/h))/1 - -4341 composite? False Let v be ((-218654)/(-11))/2 - (-90)/495. Suppose v = 7*w + 734. Is w a composite number? True Suppose 1040*s - 1062*s = -126962. Is s a composite number? True Is ((-13)/18 + 54/243)*-11474 a prime number? True Suppose -5*a = 1517 + 78. Let l = a - -713. Let q = l - -459. Is q a prime number? True Let m = 1071 - -10269. Suppose -2*k = -5*y + 18897, -10*y + 13*y = 3*k + m. Is y a composite number? False Let o(n) = 2755*n**2 - n - 7. Let p = -241 + 239. Is o(p) a prime number? False Let m(p) = 4*p**3 + 230*p**2 + 3*p + 32. Is m(-14) a composite number? True Let k = -438 - -7805. Let c = 14770 - k. Suppose -4*x + 1001 + c = 0. Is x a prime number? False Let s(r) = -129*r - 45*r - 115*r - 166. Is s(-33) a composite number? False Is ((-153)/(-102))/((-6)/(-6944876)) a composite number? False Let k be (-44)/242 - (-92)/22. Let a be (5 - 3) + -13 + k. Let r(d) = 9*d**2 - 3*d + 17. Is r(a) a composite number? False Suppose 2*u + 4*b = b + 33, -57 = -3*u + 3*b. Suppose -213894 = -u*a + 381960. Is a prime? False Suppose -26520814 = -144*x - 11026558. Is x prime? True Let b = 62585 + -37240. Let v = 45564 - b. Is v a prime number? True Suppose 33*p = 29*p + 8. Suppose -4*y + 15765 = -7887. Suppose 3*a = 3*c - y, p*a - 1977 = -2*c + c. Is c a prime number? True Let c be (1 + (-51)/9)*(-6)/4. Suppose -2*v - 2*s + c = -v, -2*v = 2*s - 6. Is v/(3 + (-8864)/2954) a prime number? False Let g be (-1647 - (-2 - 0))/(3/21). Let j = g + 18144. Is j a prime number? False Let r(h) = -45*h**2 + 22*h - 122. Let i(y) = 22*y**2 - 12*y + 61. Let z(k) = -5*i(k) - 3*r(k). Is z(10) a prime number? False Suppose 2*h + 5*o + 38 = 0, 3*h - 5*o = -3*o - 76. Let w be (-1432)/h*(-2 + 11). Let y = w - 196. Is y prime? False Let c = 124 + -92. Suppose 3*u - 11*u = c. Let h(y) = -10*y**3 - 4*y**2 - 5*y - 9. Is h(u) a prime number? True Suppose -81*s + 40 = -76*s. Suppose 910 = s*t - 5522. Suppose -2*f + 1202 = -t. Is f composite? True Suppose -4*d = 8, 300 = -3*n + 7*n - 4*d. Suppose 2*a - 193 = 2*v - 29, a - 4*v = n. Let y = -16 + a. Is y a prime number? False Let n be 8/20*-1*130. Let k = n + 179. Suppose 4*s - 2*i = s + 359, s - k = -3*i. Is s a composite number? True Let o(a) = -110*a + 12. Let l(k) = -221*k + 23. Let g(n) = -n**3 +
{ "pile_set_name": "DM Mathematics" }
minutes before 11:48 AM? 10:46 AM How many minutes are there between 3:21 PM and 10:55 PM? 454 What is 444 minutes before 3:05 PM? 7:41 AM How many minutes are there between 7:14 PM and 1:53 AM? 399 What is 568 minutes before 1:14 PM? 3:46 AM What is 51 minutes after 8:41 AM? 9:32 AM What is 419 minutes before 11:01 PM? 4:02 PM What is 127 minutes after 12:23 AM? 2:30 AM What is 243 minutes before 11:02 AM? 6:59 AM What is 39 minutes after 12:31 AM? 1:10 AM What is 107 minutes before 8:38 PM? 6:51 PM How many minutes are there between 7:55 PM and 2:09 AM? 374 How many minutes are there between 7:17 PM and 9:23 PM? 126 How many minutes are there between 7:01 PM and 2:48 AM? 467 How many minutes are there between 5:21 AM and 9:55 AM? 274 What is 121 minutes after 1:09 PM? 3:10 PM How many minutes are there between 10:25 PM and 5:19 AM? 414 How many minutes are there between 1:41 AM and 8:35 AM? 414 How many minutes are there between 5:42 AM and 7:50 AM? 128 How many minutes are there between 3:26 PM and 5:08 PM? 102 What is 332 minutes before 3:51 PM? 10:19 AM How many minutes are there between 11:34 AM and 11:38 AM? 4 How many minutes are there between 11:52 PM and 3:16 AM? 204 How many minutes are there between 2:32 PM and 1:52 AM? 680 What is 38 minutes after 10:02 AM? 10:40 AM What is 209 minutes after 4:23 PM? 7:52 PM How many minutes are there between 11:36 PM and 8:03 AM? 507 What is 154 minutes before 4:20 AM? 1:46 AM How many minutes are there between 1:52 PM and 9:25 PM? 453 How many minutes are there between 10:48 AM and 7:54 PM? 546 What is 708 minutes before 11:34 AM? 11:46 PM What is 160 minutes after 5:07 AM? 7:47 AM How many minutes are there between 1:59 PM and 12:30 AM? 631 What is 96 minutes before 12:36 AM? 11:00 PM What is 300 minutes before 7:26 PM? 2:26 PM How many minutes are there between 6:30 PM and 8:33 PM? 123 How many minutes are there between 3:55 PM and 9:49 PM? 354 What is 313 minutes after 1:09 AM? 6:22 AM What is 203 minutes after 5:32 PM? 8:55 PM What is 19 minutes after 6:51 AM? 7:10 AM How many minutes are there between 2:55 PM and 6:01 PM? 186 What is 627 minutes before 4:11 AM? 5:44 PM What is 337 minutes before 11:11 PM? 5:34 PM What is 697 minutes after 11:45 PM? 11:22 AM What is 702 minutes after 3:12 AM? 2:54 PM How many minutes are there between 4:15 PM and 5:57 PM? 102 What is 524 minutes before 4:17 PM? 7:33 AM What is 353 minutes after 11:47 AM? 5:40 PM What is 439 minutes before 2:55 PM? 7:36 AM How many minutes are there between 8:31 AM and 6:20 PM? 589 How many minutes are there between 7:15 PM and 11:19 PM? 244 How many minutes are there between 10:57 PM and 5:42 AM? 405 How many minutes are there between 8:28 AM and 11:19 AM? 171 What is 592 minutes before 1:24 PM? 3:32 AM What is 474 minutes before 6:37 PM? 10:43 AM What is 82 minutes after 4:00 PM? 5:22 PM What is 62 minutes after 7:50 AM? 8:52 AM What is 305 minutes before 10:17 PM? 5:12 PM What is 303 minutes before 3:30 AM? 10:27 PM What is 570 minutes before 2:16 PM? 4:46 AM What is 480 minutes before 9:41 PM? 1:41 PM What is 130 minutes after 5:24 PM? 7:34 PM What is 463 minutes before 2:25 AM? 6:42 PM What is 607 minutes after 2:02 PM? 12:09 AM What is 705 minutes after 12:32 PM? 12:17 AM What is 97 minutes after 6:47 AM? 8:24 AM How many minutes are there between 11:53 AM and 9:06 PM? 553 What is 482 minutes before 3:52 PM? 7:50 AM How many minutes are there between 5:35 PM and 8:31 PM? 176 How many minutes are there between 7:45 PM and 11:54 PM? 249 How many minutes are there between 8:29 AM and 7:26 PM? 657 How many minutes are there between 12:09 PM and 12:18 PM? 9 What is 665 minutes after 8:26 PM? 7:31 AM How many minutes are there between 6:26 AM and 3:50 PM? 564 What is 660 minutes before 6:06 AM? 7:06 PM What is 706 minutes after 9:27 PM? 9:13 AM What is 584 minutes after 6:53 PM? 4:37 AM How many minutes are there between 6:12 PM and 10:27 PM? 255 How many minutes are there between 3:44 AM and 9:29 AM? 345 How many minutes are there between 11:56 AM and 2:17 PM? 141 How many minutes are there between 6:11 AM and 8:30 AM? 139 What is 428 minutes after 3:57 PM? 11:05 PM How many minutes are there between 9:44 PM and 12:16 AM? 152 How many minutes are there between 12:26 AM and 5:19 AM? 293 What is 4 minutes after 3:02 AM? 3:06 AM What is 171 minutes after 1:01 AM? 3:52 AM How many minutes are there between 4:23 PM and 6:40 PM? 137 How many minutes are there between 6:49 AM and 4:44 PM? 595 What is 394 minutes before 1:50 PM? 7:16 AM How many minutes are there between 2:40 AM and 10:48 AM? 488 What is 595 minutes after 10:12 PM? 8:07 AM How many minutes are there between 11:15 PM and 4:43 AM? 328 How many minutes are there between 4:15 AM and 3:52 PM? 697 How many minutes are there between 12:28 PM and 9:58 PM? 570 What is 502 minutes after 3:37 AM? 11:59 AM How many minutes are there between 6:44 AM and 2:10 PM? 446 How many minutes are there between 9:10 PM and 9:49 PM? 39 How many minutes are there between 7:50 AM and 11:33 AM? 223 What is 20 minutes after 3:55 PM? 4:15 PM What is 279 minutes before 2:37 AM? 9:58 PM What is 2 minutes after 3:36 AM? 3:38 AM What is 101 minutes after 3:26 AM? 5:07 AM How many minutes are there between 2:19 PM and 7:39 PM? 320 What is 173 minutes before 10:04 AM? 7:11 AM How many minutes are there between 5:49 AM and 9:18 AM? 209 How many minutes are there between 9:07 AM and 7:12 PM? 605 How many minutes are there between 9:28 AM and 2:33 PM? 305 How many minutes are there between 2:41 PM and 8:09 PM? 328 What is 135 minutes after 2:23 PM? 4:38 PM How many minutes are there between 5:04 PM and 11:29 PM? 385 What is 355 minutes after 10:46 AM? 4:41 PM What is 693 minutes after 5:05 PM? 4:38 AM How many minutes are there between 11:11 AM and 7:16 PM? 485 What is 63 minutes before 5:42 PM? 4:39 PM How many minutes are there between 10:10 AM and 3:28 PM? 318 How many minutes are there between 2:08 AM and 11:03 AM? 535 What is 304 minutes before 4:42 AM? 11:38 PM What is 9 minutes after 8:56 AM? 9:05 AM How many minutes are there between 6:28 PM and 8:18 PM? 110 How many minutes are there between 12:35 AM and 12:29 PM? 714 What is 184 minutes after 12:19 PM? 3:23 PM What is 246 minutes after 10:55 PM? 3:01 AM How many minutes are there between 2:24 AM and 10:51 AM? 507 What is 148 minutes before 1:06 AM? 10:38 PM How many minutes are there between 4:00 PM and 5:36 PM? 96 What is 665 minutes before 1:31 AM? 2:26 PM What is 387 minutes after 5:56 PM? 12:23 AM What is 243 minutes after 11:24 PM? 3:27 AM What is 211 minutes after 6:34 AM? 10:05 AM How many minutes are there between 9:05 PM and 9:09 PM? 4 What is 454 minutes after 7:59 PM? 3:33 AM What is 664 minutes before 11:24 AM? 12:20 AM What is 9 minutes after 11:12 AM? 11:21 AM How many minutes are there between 8:01 AM and 7:02 PM? 661 How many minutes are there between 5:11 PM and 4:08 AM? 657 What is 627 minutes before 5:30 PM? 7:03 AM How many minutes are there between 2:45 AM and 12:33 PM? 588 How many minutes are there between 11:51 PM and 10:07 AM? 616 What is 254 minutes before 1:36 PM? 9:22 AM What is 265 minutes before 12:41 PM? 8:16 AM How many minutes are there between 7:49 PM and 2:00 AM? 371 What is 715 minutes after 5:09 PM? 5:04 AM How many minutes are there between 5:47 PM and 12:28 AM? 401 What is 714 minutes after 11:02 PM? 10:56 AM What is 360 minutes before 5:59 AM? 11:59 PM What is 59 minutes after 10:24 AM? 11:23 AM What is 503 minutes before 9:40 AM? 1:17 AM What is 321 minutes after 12:01 PM? 5:22 PM What is 253 minutes after 1:34 PM? 5:47 PM What is 51 minutes before 12:51 PM? 12:00 PM How many minutes are there between 2:03 AM and 12:21 PM? 618 What is 52 minutes after 5:07 PM? 5:59 PM How many minutes are there between 11:05 AM and 2:00 PM? 175 What is 454 minutes before 2:40 AM? 7:06 PM What is 404 minutes after 11:52 AM? 6:36 PM How many minutes are there between 12:50 AM and 9:35 AM? 525 What is 681 minutes before 3:13 PM? 3:52 AM What is 255 minutes before 6:47 PM? 2:32 PM How many minutes are there between 11:16 PM and 8:00 AM? 524 What is 430 minutes after 7:49 AM? 2:59 PM How many minutes are there between 3:
{ "pile_set_name": "DM Mathematics" }
m - 6 = 0. Find the third derivative of 82*n**2 - n**u + 44*n**2 + 3*n**3 - 45*n**2 wrt n. -24*n + 18 Let u = 16 - 16. Suppose -5*q + 134 + 36 = u. Find the first derivative of 23 + 36 + 5*n**2 - q wrt n. 10*n Let c(s) be the second derivative of 26*s**6/5 - s**4/6 + 1347*s**2 + 2*s - 10. Differentiate c(l) wrt l. 624*l**3 - 4*l Let i be 12/(-30) + 17/5 + -3. Find the third derivative of -7*k**6 + 4*k**4 + k**5 - 4*k**4 + 4 - 7*k**2 + i*k**5 wrt k. -840*k**3 + 60*k**2 Suppose 4*c + 6*c = -60. Let y be (c + 2)/((-4)/19). What is the second derivative of -42*z**2 + y*z**2 - 4*z + 23*z**2 - 38*z**3 wrt z? -228*z Suppose 1 = 13*r - 25. Suppose -r*i + 71 = 4*z - 375, 1 = i. Differentiate z*k**4 + 91*k**4 + 21 - 186*k**4 wrt k. 64*k**3 Let f(v) = 16431*v**2 + 29*v - 19754. Let q(b) = -2347*b**2 - 4*b + 2822. Let h(m) = 4*f(m) + 29*q(m). Find the first derivative of h(y) wrt y. -4678*y Let v(o) = -2*o + 778. Let x be v(0). Find the second derivative of 7*i + x*i**3 + i**4 - 390*i**3 - 388*i**3 wrt i. 12*i**2 Let z(q) = -5035*q**3 - 15*q**2 + 8*q + 46. Let v(d) = -5033*d**3 - 22*d**2 + 8*d + 44. Let b(n) = 2*v(n) - 3*z(n). Find the third derivative of b(h) wrt h. 30234 Let v(h) = -h**4 - h**3 + h**2 + 2*h + 2. Let m(y) = -121*y**4 + 4*y**3 - 4*y**2 - 8*y + 728. Let g(b) = m(b) + 4*v(b). Find the first derivative of g(d) wrt d. -500*d**3 Suppose -7*u = -5*u - 2. Find the third derivative of 118*x**2 + 18*x**6 - 3 - u + 2 - 22*x**6 wrt x. -480*x**3 Let j(t) = -13*t + 9. Let l(n) = 12*n - 11. Let x(w) = 2*j(w) + 3*l(w). Let s be x(2). What is the first derivative of -10 + 2 - 3 + s + 34*b wrt b? 34 Let g be (-12)/18 + 104/12. Differentiate -2*z + 217*z**2 - 29 - g - 239*z**2 wrt z. -44*z - 2 Suppose 7 = -4*h + r + 10, 2*r = -5*h + 20. Let x(t) be the first derivative of 18 - 12 - 2*t**h - 11*t + 15. What is the first derivative of x(d) wrt d? -4 Suppose -2*f = -30*f + 2044. What is the third derivative of 1152*n - 8*n**4 - f*n**4 - 34*n**2 + 6*n**2 - 1151*n wrt n? -1944*n Let f(r) be the second derivative of r**6/30 + 55*r**4/4 + 395*r**3/2 - 24*r - 16. Find the second derivative of f(x) wrt x. 12*x**2 + 330 Let l(s) be the second derivative of -201/2*s**2 + 0*s**3 - 280*s + 79/5*s**5 + 0*s**4 + 0. Find the first derivative of l(f) wrt f. 948*f**2 Let k be (((-1)/1)/((-9)/(-90)))/(-2). Suppose 2*s + 8 = 2*n, -3*n + s + 13 + k = 0. What is the second derivative of 519*o - n*o**2 - 508*o - 5*o**2 wrt o? -24 Let c(v) = -9288*v**3 + 6*v**2 - 12*v + 4127. Let h(o) = -9287*o**3 + 7*o**2 - 14*o + 4127. Let g(j) = 7*c(j) - 6*h(j). What is the derivative of g(r) wrt r? -27882*r**2 Let k be -4*3*(-2)/8. Let a = 171 + -167. Differentiate -17*q**3 + a*q**3 - 26 - 10*q**k + 38 wrt q. -69*q**2 Let t(a) be the third derivative of -a**6/24 + a**5/30 - 11*a**4/8 - 251*a**3 + 270*a**2 + 7*a. Differentiate t(n) with respect to n. -15*n**2 + 4*n - 33 Differentiate -5*k**2 + 4*k**2 + 0*k**2 + 3*k**2 - 252*k + 353 + 253*k + 881*k**3 wrt k. 2643*k**2 + 4*k + 1 Let u be -6 - (-6 - 5) - 525/(-3). Find the first derivative of 45 - s**2 - u + 162 + 127 + 3*s**2 wrt s. 4*s Let i be 1/2*10 + -2. Find the second derivative of -6 + 6 - 24*z**i + 3*z**2 + 90*z - 4*z**2 wrt z. -144*z - 2 Let q(j) be the first derivative of -423*j**5 + 10*j**3 + 5*j**2/2 + 327. What is the third derivative of q(z) wrt z? -50760*z Let x = -864 - -866. Find the second derivative of 2*y + 19*y - 19*y + 243 - y**5 + 0*y**5 + 19*y**x wrt y. -20*y**3 + 38 Let z(j) be the first derivative of 1/3*j**3 + 111 + 0*j**2 - 14*j - 5/2*j**4. Differentiate z(k) wrt k. -30*k**2 + 2*k Let s be (-2)/20*-5*0. Find the second derivative of 5 - 4*f + 68*f**3 + s*f - 8 wrt f. 408*f Let o(m) be the third derivative of -m**6/60 - 3481*m**5/60 + 3163*m**4/24 - m**3/3 - 36*m**2 - 2*m - 2. Find the second derivative of o(w) wrt w. -12*w - 6962 Let r(h) be the first derivative of -62/3*h**3 - 47 + 2*h - 17*h**2. What is the second derivative of r(n) wrt n? -124 Suppose 108 = -4*d + 31*d. Find the second derivative of -200 - 9*g**2 + 2*g**2 - 15*g**2 - 54*g - 8*g**2 + 3*g**d + 199 wrt g. 36*g**2 - 60 Let p(a) be the third derivative of -a**5/30 + 291*a**4/2 - 5145*a**3/2 - 567*a**2 - 6. Differentiate p(r) wrt r. -4*r + 3492 Let i(g) be the first derivative of -6*g**7/7 - 11*g**6/3 - g**5/5 + 428*g**3 - 5039. What is the third derivative of i(n) wrt n? -720*n**3 - 1320*n**2 - 24*n Let d(s) = -s**3 - 4*s**2 + 2. Let w(b) = -2038*b**4 + 10*b**3 + 40*b**2 + 2742*b - 20. Let r(a) = 10*d(a) + w(a). What is the second derivative of r(v) wrt v? -24456*v**2 Let x = -11 + 14. Suppose -4*v = -x - 61. Find the third derivative of -9*k**2 + 15*k**2 + 3 + v*k**2 - 38*k**3 - 5 wrt k. -228 Suppose -6 = -3*m, 0*b + 3*m + 12 = 2*b. Suppose -5*v + b = -4*v. What is the derivative of 6 + 4 + v*f - 6*f - 2 wrt f? 3 Let k = 27 + -24. Find the third derivative of -3*j**3 - 2420*j**2 + k*j**3 + 41*j**4 + 2401*j**2 wrt j. 984*j Differentiate -342 - 1134 + 401 - 178*f wrt f. -178 Let c = -400 - -402. Find the first derivative of -42*f**2 + 14*f**c + 39*f**2 + 2*f + 120 wrt f. 22*f + 2 Suppose 4*m - 2*m = 8. Differentiate 5 + 39*s**m - 3 - 20 - 10 wrt s. 156*s**3 Let k(u) = 2*u**2 - 4*u - 1. Let h(a) = -31*a**2 + 38*a + 2895. Let l(t) = -h(t) - 2*k(t). Find the first derivative of l(w) wrt w. 54*w - 30 Find the third derivative of -159*b**2 - 19 + 19 - 3*b + 19*b**4 - 1953*b**3 + 1946*b**3 wrt b. 456*b - 42 Let m = -52 - -52. What is the first derivative of 1278 + m*u**2 + 22*u - 2*u**2 - 1213 wrt u? -4*u + 22 Let q(i) be the third derivative of 22*i**6/15 + 137*i**5/12 - 246*i**2. Find the third derivative of q(z) wrt z. 1056 Let v(j) = 20*j**2 - 8*j + 2230. Let w(q) = -22*q**2 + 7*q - 2228. Let c(g) = -4*v(g) - 5*w(g). What is the first derivative of c(n) wrt n? 60*n - 3 Differentiate 1413 - 575*t**3 + 3258*t**3 + 42*t**2 - 42*t**2 + 2885 with respect to t. 8049*t**2 Find the second derivative of -375*u - 582*u + 2 - 390*u**3 - 249*u - 3 wrt u. -2340*u Suppose -7*r + 3*r - 12 = f, -r = 3*f - 8. Let q(o) = -73*o - 73. Let t(x) = -74*x - 72. Let u(j) = f*t(j) - 5*q(j). What is the first derivative of u(p) wrt p? 69 Find the third derivative of -4*h**5 - 1109 + 353*h**4 + h**2 + 2106 - 55*h**4 wrt h. -240*h**2 + 7152*h Let s(o) be the third derivative of 267*o**6/8 + o**5/12 + 35*o**4/24 + o**3/3 + 4402*o**2. Find the third derivative of s(l) wrt l. 24030 Let t(w) be the first derivative of -4855*w**4/4 - w**3 - 189*w**2/2 + 2090. Find the third derivative of t(g) wrt g. -29130 Let x be 25 - (-7)/(35/(-20)). Suppose 2*z = -5*w - 6 + x, 4*z + 4*w - 24 = 0. Find the second derivative of k - 3*k - 16*k**z - 3*k wrt k. -320*k**3 Let i(l) = l**3 - 13*l**2 + 2*l - 7. Let m be i(13). Differentiate -134*b - m*b + 154 - 91*b - 55 with respect to b. -244 Find the third derivative of -391*r**2 + 7347*r**3 + 2 + 14126189*r - 14126189*r wrt r. 44082 Let t(a) = -a**3 + 5*a**2 - 5. Let c = 3 - 0. Let b be t(c). Find the second derivative of -b*q**3 - 2*q + 6*q + q wrt q. -78*q Suppose 4*a = -93 + 85. Let d be a/8 + 315/12. Find the second derivative of -41*u**4 + d*u**4 + 28*u - 6*u wrt u. -180*u**2 Let b(l) = -9*l + 17. Suppose -u = 1 - 4. Suppose -4*k + 15 = u. Let d(s) = -46*s + 84. Let z(r) = k*d(r) - 14*b(r). Differentiate z(q) with respect to q. -12 Let n(v) = -v**2 - 15*v - 1. Let a be n(-15). Let i(o) = -2*o**3. Let c be i(a). What is the derivative of 2*t**3 + 855 - t**4 - 846 - c*t**3 wrt t? -4*t**3 What is the third derivative of -389*f**2 - 931*f**2 + 202*f**2 - 1923*f**3 - 317*f**2 wrt f? -11538 What is the second derivative of 553*k + 676*k - 9419*k**3 - 3 + 3 + 12117*k**3 wrt k? 16188*k Let f(r) be the first derivative of 13*r**5/5 - 79*r**4/12 + 59*r - 57. Let o(c) be the first derivative of f(c). Find the third derivative of o(g) wrt g. 312 Let b = -227 - -232. Find the second derivative of -33*s**4 - 40*s**5 + 5*s**2 - b*s**2 + 38*s**5 + 16*s wrt s. -40*s**3 - 396*s**2 Let f(a) = 2624*a**2 + 32*a + 142. Let y(z) = 1750*z**2 + 21*z + 95. Let k(n) = 5*f(n) - 8*y(n). Find the second derivative of k(s) wrt s. -1760 What is the derivative of -35*k**3 + 174*k**3 - 970 + 332*k**3 - 573 wrt k? 1413*k**2 Find the second derivative of -2778*h - 243074*h**2 + 2429
{ "pile_set_name": "DM Mathematics" }
- 10 = 2*x + 4*f. Is 13 a factor of (0 - x - 0) + 25? False Suppose 0*t - 3*d = 2*t, -50 = 5*t - 5*d. Let i = t + 11. Suppose 0*w - 130 = -i*w. Is 12 a factor of w? False Suppose 12*n = 18*n - 468. Is n a multiple of 3? True Let b be (-62)/6 - (-6)/(-9). Let o(v) = -v**3 - 11*v**2 - v + 13. Is o(b) a multiple of 7? False Suppose 1982 - 470 = 18*a. Is 7 a factor of a? True Suppose 5*u - 188 + 13 = -4*a, 3*a - 111 = 3*u. Is a a multiple of 10? True Let l(i) = -i**3 - 7*i**2 + 5*i + 6. Let p = 44 - 19. Let c = 17 - p. Does 10 divide l(c)? True Let h be 6/(-15) - (-64)/10. Let v = 44 - h. Is v a multiple of 19? True Does 7 divide -3 + (-2)/1 + 80? False Let y(i) = -i**3 - 12*i**2 - 10*i - 10. Does 22 divide y(-12)? True Let s be (-2)/(-7) + (-124)/(-7). Let a = -35 + 69. Let b = a - s. Does 10 divide b? False Let g(u) = -u**2 + 4*u + 3. Let i be g(4). Let k be (i - (-5)/(-2))*0. Is -1 - -4 - k - -23 a multiple of 16? False Suppose -134 = -v - 37. Does 27 divide v? False Let f = -15 - -31. Does 4 divide f? True Is (7 - 1)*(-4)/(-6) a multiple of 4? True Suppose 4*m = 2*y + 10, 5*m - 6 - 11 = y. Let n(o) = o**3 + o**2 - 1 + 3 + 0*o**2 - 5*o**2. Is n(m) even? True Suppose -3*c - 5*p + 50 = 0, 2*c + 2*p = -c + 38. Is c a multiple of 4? False Let h be (4/(-3))/((-1)/3). Let c = h - -14. Does 9 divide c? True Suppose -5*c - 9 - 4 = -4*j, 2*j - 3*c - 9 = 0. Let v(x) = -x**3 - 3*x**2 + 2*x - 3. Let z be v(j). Let w(d) = -d**2 - 12*d - 5. Is w(z) a multiple of 11? True Suppose 6*n - n = 5, -4*q + 13 = -3*n. Suppose 0 = -q*c - c + 140. Does 14 divide c? True Suppose -3*w = -4*v - 28, 4*w - 19 = -v + 12. Suppose 5*d + p - 14 = 0, 2*d + 4*p - w = 3*p. Suppose 5*k + 6 = -9, d*r - k - 17 = 0. Is 3 a factor of r? False Let u(r) = r**2 - 9*r + 10. Let t be u(8). Suppose -34 - 2 = -t*n. Is 9 a factor of n? True Suppose 2505 = 9*a + 885. Does 18 divide a? True Let n be (3*-1 - -2)*-22. Does 11 divide n*2/4 - 0? True Let g(q) = -q**3 + 9*q**2 - 4*q - 10. Let o = 12 - 4. Is 11 a factor of g(o)? True Suppose -2*y - 2*s = -58, -y - 2*y + 81 = 5*s. Suppose -y = -4*d - 0. Does 4 divide d? True Let y = -29 + 18. Let g = y - -25. Is g a multiple of 5? False Is 23 a factor of 1/7 - (-1926)/42? True Let f be ((-999)/6)/((-2)/8). Suppose 3*n = -3*q + f, 0 = 2*n - 3*q - 689 + 225. Is 2/(-7) + n/7 a multiple of 14? False Let i be 2206/4 - 1/2. Suppose 4*f - i = -5*u - 0*f, -u + f = -112. Is u a multiple of 35? False Suppose 2*q - 1 = 3. Let h(z) be the first derivative of 4*z**3/3 + z**2 - z - 3. Is h(q) a multiple of 19? True Does 7 divide (2/(-6) - (-57)/(-18))*-18? True Suppose -5*z + 64 + 46 = 0. Suppose -l = l - z. Suppose 0 = -2*a + 9 + l. Is 6 a factor of a? False Let k = 15 - -17. Is k a multiple of 16? True Let t be 6/4*24/9. Suppose -48 = -t*j + 20. Is j a multiple of 13? False Let i be -4 + 3 - 2*1. Let c = 6 + i. Suppose 2*a = -5*v + 187, c*v - 13 - 100 = -2*a. Is v a multiple of 10? False Suppose -4*q - 5*j = -0*q - 21, 0 = -2*q - j + 9. Suppose -5*o + 2 = 4*g, 3*g - 3 = -5*o - q. Suppose 16 = 5*x - g*x. Is x a multiple of 4? True Let b be 4/(-22) + 189/11. Suppose -14*m - 120 = -b*m. Does 8 divide m? True Let q(w) = w**2 - 3*w. Does 3 divide q(5)? False Suppose -17 - 91 = -3*p. Is 12 a factor of p? True Let l = 71 - 4. Let v = l + -33. Is 13 a factor of v? False Suppose 366 = 8*p - 11*p. Is 4 a factor of p/(-10) + 3/(-15)? True Let y = -6 - -18. Let d be (y/10)/(1/80). Suppose m + 48 = 2*h - m, -d = -4*h - m. Is 12 a factor of h? True Let g(v) = v**2 - v - 3. Let n be g(4). Let w = -6 + n. Is 15 a factor of (-1)/(-2)*114/w? False Suppose -3*h - 26 = -3*p - 8*h, 3*h - 20 = -4*p. Suppose p*z - 30 - 46 = 0. Is 19 a factor of z? True Let b = -1 + 1. Let q(n) = 18 + n - 4 + 10. Is q(b) a multiple of 9? False Let v(q) = 6*q**3 + q**2 + 2*q. Let u be v(2). Suppose -u = -2*w + 4*w. Let h = 44 + w. Is h a multiple of 6? False Is 9 a factor of (-1)/10*18*-5? True Let w = -7 + 15. Let g = 2 + 2. Let v = w - g. Does 4 divide v? True Suppose -65 = a - 160. Suppose -k + 6*k - a = 0. Is k a multiple of 19? True Let a(o) = -46*o - 6. Let i(m) = 9*m + 1. Let g(w) = 2*a(w) + 11*i(w). Suppose 3*p - p = 4, -9 = -n - 3*p. Is g(n) a multiple of 10? True Suppose -4*x = -7*x + 12. Suppose 25 = 5*q, 0 = -a - 0*a - x*q + 32. Is 4 a factor of a? True Suppose -15 + 3 = -5*x - o, 3*o = -3*x + 12. Let a(p) = -3 + x - 7*p - 2. Is a(-2) a multiple of 10? False Let g(u) = -u**3 + 7*u**2 - 5*u + 3. Suppose n - 2*z = -4*n, 4*n - z = 0. Suppose 5*d + 6 - 1 = k, n = 3*k - 3*d - 15. Is g(k) a multiple of 18? False Let x(d) be the second derivative of -2*d**3/3 - d**2 + 5*d. Is 2 a factor of x(-2)? True Suppose l = 5*l - 20. Let v(h) = 6*h - 5. Does 8 divide v(l)? False Let m(b) = b**2 - b + 14. Is 14 a factor of m(8)? True Let k be (1 - 13)/(9/(-6)). Let g be (1 - 4)*k/6. Does 11 divide 44/(-2)*2/g? True Suppose -3*q + 4 + 8 = 0. Suppose -3*k + 13 = -4*o, -3*o = -q*k - 0*o + 29. Does 11 divide k? True Let p(h) be the second derivative of h**6/180 + h**5/24 - h**4/12 + h**3/3 + 4*h. Let a(s) be the second derivative of p(s). Is a(-5) a multiple of 18? False Let t(g) = -g + 3. Is t(-6) even? False Let v(s) = s. Let r(g) = -44*g + 4. Let a(t) = -r(t) - 2*v(t). Let d be a(7). Suppose d = 4*u + u. Does 15 divide u? False Let k be (-1)/(-3) - (-1)/(-3). Let v = k + 18. Does 10 divide v? False Suppose 0*r = 2*r + 5*q - 233, 3*q + 453 = 4*r. Is 19 a factor of r? True Is 29 a factor of ((-68)/8)/(2/(-20))? False Let y(t) = -t**2 - 15*t + 34. Is 8 a factor of y(-14)? True Let y = 0 - 2. Let t be 346/18 - y/(-9). Suppose h = -2*o + t, 3*h + 20 = 7*h. Is 7 a factor of o? True Let j(z) = -11*z + 1. Does 4 divide j(-1)? True Suppose w - 7 = -x - 2*x, 0 = 4*x + 2*w - 8. Let h be 0/(-2)*(-1)/(-2). Suppose x*q + q - 48 = h. Is q a multiple of 12? True Is ((-4)/(-3))/((-7)/(-126)) a multiple of 24? True Let r(i) be the first derivative of i**3 - i**2 + 1. Let v(o) = -2*o**2 + o + 1. Let s be v(-1). Is r(s) a multiple of 12? False Suppose c - 46 = -c + 2*j, 2*j - 150 = -5*c. Suppose 0 = -3*o + 14 + c. Is o a multiple of 7? True Let k = -128 - -233. Does 35 divide k? True Let a(t) = t**3 - 5*t**2 - t + 7. Suppose -4*f = -b - 6, -3*b - 2*b + 3*f = -21. Does 27 divide a(b)? False Suppose t - 94 = -v - 2*v, v + 2*t - 23 = 0. Suppose 4*x - v = 303. Does 24 divide x? False Is 40/6 - (-4)/(-6) a multiple of 2? True Let t(m) = -13*m + 7. Let p be t(-5). Is 12 a factor of 5 + -3 - p/(-3)? False Suppose 2*w - 73 + 1 = 0. Does 18 divide w? True Suppose -2*g = -5*g + 60. Is 16 a factor of (2 - 2 - 1) + g? False Suppose 18 = 6*a - 318. Does 14 divide a? True Let s(p) = 16*p**2 + 4*p + 7. Is s(-2) a multiple of 19? False Let m(i) be the second derivative of 13*i**3/6 - 5*i**2/2 - 9*i. Does 22 divide m(5)? False Suppose k = 2*k - 5*n - 112, k + 5*n = 92. Is 46 a factor of k? False Let k be (0/(-2) + 2)*-1. Is 10 a factor of 2/5*k*-25? True Suppose c = 8*c - 70. Let s = c - -3. Is s a multiple of 10? False Suppose -175 = -10*p + 5*p. Suppose 4*z - 3*k - p = 0, -27 = -5*z + z - 5*k. Is -1 + 3 + 2*z a multiple of 9? True Suppose -7*q = -8*q + 22. Let s = q + -12. Does 7 divide s? False Let j = -152 + 73. Is j/(-1*(3 + -2)) a multiple of 28? False Suppose 171 = 4*q + 3*b, b + 93 = 2*q - 0*b. Suppose 3*s - q - 21 = 0. Is s a multiple of 8? False Let s(h) = -h**3 + 12*h**2 - 5*h + 14. Is s(11) a multiple of 16? True Let z(x) = -x**2 - 3*x - 1. Let p be z(6). Let m = 94 + p. Does 15 divide m? False Let u(j) = 13*j - 1. Let p(k) = k**3 - 2*k**2 + 3*k - 3. Let s be p(2). Does 17 divide u(s)? False Let s = 10 - -28. Is 14 a factor of s? False Suppose -3*k + 4 = -5*k. Let i(h) = 4*h**2 - 6*h - 2. Let j(z) = 3*z**2 - 5*z - 2. Let w(v) = -2*i(v) + 3*j(v). Does 4 divide w(k)? True Let i = 23 - 10. Does 4 divide i? False Let t = 44 + 5. Is t a multiple of 8? False Suppose -5*w = -5*m - 5, 8*w - 18 = -2*m + 5*w. Suppose 1 = -2*g + 5*a, 7*a = 2*g + m*a. Is g/8 - (-83)/4 a multiple of 12? False Let o(p) = 37*p**3 + p**2 - p. Is o(1) a multiple of 13? False Suppose -p = 7*p - 608. Is 29 a factor of p? False Let h(z) = z**3 - 7*z**2 + 12*z + 14. Is h(7) a multiple of 32? False Let m = -30 - -10. Let q = m - 7. Let b = -6 - q. Is b a multiple of 21?
{ "pile_set_name": "DM Mathematics" }
240)/sqrt(4))/sqrt(2))/(1*(sqrt(96) - sqrt(6)) - sqrt(6)). 0 Simplify -1 + sqrt(38)/(sqrt(324)/sqrt(2)). -1 + sqrt(19)/9 Simplify (3*sqrt(1088)*-2 - sqrt(1088))**2 - 5*(sqrt(17) + 1)*-1. 5*sqrt(17) + 53317 Simplify (-1*sqrt(21)/sqrt(112)*6 + -5)**2. 15*sqrt(3) + 127/4 Simplify (sqrt(85) - (sqrt(85) - (sqrt(85) + -5*sqrt(85)*-3)))/(sqrt(405) + (sqrt(405) - (sqrt(405)*1 - sqrt(405)))). 8*sqrt(17)/9 Simplify ((sqrt(128) + 1 + sqrt(128))*-4)**2. 512*sqrt(2) + 8208 Simplify ((sqrt(143) - (sqrt(143) - (sqrt(143) + (2*sqrt(143) - sqrt(143)))))*-1)/(-2*sqrt(396)). sqrt(13)/6 Simplify 5*sqrt(72)*2. 60*sqrt(2) Simplify 4*(sqrt(72) + 1)**2. 48*sqrt(2) + 292 Simplify (sqrt(171) + (sqrt(171) + (sqrt(171)*1 - sqrt(171)))*-6 + sqrt(171))/(sqrt(144)*-2). sqrt(19)/2 Simplify (((sqrt(33) - 1*-2*sqrt(33) - sqrt(33))/sqrt(3) + 4)*5)**2. 400*sqrt(11) + 1500 Simplify -1*((sqrt(240) - sqrt(60))/sqrt(12) + 1 + sqrt(245)). -8*sqrt(5) - 1 Simplify (2*(sqrt(135)/sqrt(3) + sqrt(45)))**2. 720 Simplify (sqrt(240)/sqrt(4))/sqrt(12) + 4. sqrt(5) + 4 Simplify (-2 + (sqrt(3) - sqrt(108)))**2*6. 120*sqrt(3) + 474 Simplify (sqrt(11) + -2*sqrt(11) + sqrt(11) + 2 - sqrt(396)*-1)*2. 4 + 12*sqrt(11) Simplify 2*(1 + sqrt(52)) + 2. 4 + 4*sqrt(13) Simplify (1*sqrt(153))**2*-6. -918 Simplify (6*(sqrt(99)*1 + 4))**2. 864*sqrt(11) + 4140 Simplify 3*((sqrt(176) + -2)**2 - sqrt(176)). -60*sqrt(11) + 540 Simplify -4 + -6*sqrt(99). -18*sqrt(11) - 4 Simplify 4 + (-4*2*sqrt(11) - ((sqrt(22)*-2)/sqrt(2))**2). -40 - 8*sqrt(11) Simplify 2*sqrt(468) + sqrt(468) + (sqrt(832) - 2*sqrt(832)). 10*sqrt(13) Simplify sqrt(18)/sqrt(96)*-3. -3*sqrt(3)/4 Simplify -1 + (sqrt(1700) + -1)**2. -20*sqrt(17) + 1700 Simplify (-5*(sqrt(1078)*2)/sqrt(11))**2. 9800 Simplify 6*(-1 + sqrt(300)) - (sqrt(300) - ((1*sqrt(300))**2*-4 - sqrt(300))). -1206 + 40*sqrt(3) Simplify (sqrt(1872) + 0 + -2)*3. -6 + 36*sqrt(13) Simplify sqrt(192)/sqrt(4)*-5. -20*sqrt(3) Simplify (sqrt(5) - sqrt(5)*1)*-4 + sqrt(5) - (sqrt(15)/sqrt(3)*5 + sqrt(5) - sqrt(5))**2. -125 + sqrt(5) Simplify (sqrt(512) - (2 + sqrt(8)/sqrt(4)))**2. -60*sqrt(2) + 454 Simplify (sqrt(7)*-2 + 1)**2 + sqrt(70)/(sqrt(10)*2). -7*sqrt(7)/2 + 29 Simplify -6*2*sqrt(63) + -4. -36*sqrt(7) - 4 Simplify (-6*-2*sqrt(95))/sqrt(5). 12*sqrt(19) Simplify sqrt(2) + sqrt(8) + -1 + (sqrt(2)*-1 + -5)**2. 13*sqrt(2) + 26 Simplify (-5*(5 + (sqrt(363) + 0 - sqrt(363)) + sqrt(363)) + 1)**2. 2640*sqrt(3) + 9651 Simplify (-1 + sqrt(119)/(sqrt(7)*-2))**2. sqrt(17) + 21/4 Simplify -1*sqrt(539) - (sqrt(11) + ((sqrt(396) - (sqrt(396) - -1*sqrt(396) - sqrt(396)))**2 - sqrt(396)) - sqrt(11)). -sqrt(11) Simplify (-1*sqrt(288))/((sqrt(28) + (sqrt(56)/sqrt(2) - sqrt(28)))/sqrt(7)). -6*sqrt(2) Simplify sqrt(152)/(-2*sqrt(8))*5. -5*sqrt(19)/2 Simplify sqrt(78)/(1*sqrt(6)) - (sqrt(143)*-2 - sqrt(143))/sqrt(11). 4*sqrt(13) Simplify ((sqrt(84) - (sqrt(84) + 3*(sqrt(84)*-1 - sqrt(84)) + sqrt(84))) + sqrt(84))/(-1*-2*sqrt(12)). 3*sqrt(7) Simplify (4*(sqrt(2) + 0))**2 - ((1 + sqrt(2))**2 + -2). -2*sqrt(2) + 31 Simplify (3*(sqrt(1700) + -1))**2. -180*sqrt(17) + 15309 Simplify (-3*(sqrt(7) + -1) - (sqrt(42)/sqrt(3))/sqrt(2))**2. -24*sqrt(7) + 121 Simplify -6*sqrt(2560)/sqrt(8). -48*sqrt(5) Simplify 4 + (-1*sqrt(30) - sqrt(30))/sqrt(10) + (-1*(-1 + sqrt(3)))**2. -4*sqrt(3) + 8 Simplify sqrt(76)/sqrt(4) + -1 + sqrt(19) + -1*sqrt(76)/sqrt(4) + 1. sqrt(19) Simplify ((4*(sqrt(156) + sqrt(156)*1))/(sqrt(1452)*2) + -2)**2. -16*sqrt(13)/11 + 692/121 Simplify (sqrt(54)/sqrt(3))/sqrt(6) - sqrt(108)/sqrt(4). -2*sqrt(3) Simplify (((sqrt(20)/sqrt(4) - sqrt(5))*6 - (sqrt(80) + -1 - sqrt(80)))*4)**2. 16 Simplify 1 + (sqrt(7)*3 - sqrt(7))**2 + -3. 26 Simplify ((-2*sqrt(320) - sqrt(320)) + -2 - sqrt(320))**2. 128*sqrt(5) + 5124 Simplify 2 + (sqrt(11)*2 + -1)**2. -4*sqrt(11) + 47 Simplify -3*(sqrt(245)*-3 + 4)**2. -6663 + 504*sqrt(5) Simplify -1*(1*-1*sqrt(468))**2. -468 Simplify 4 + (5 + sqrt(7))**2 + 1 + sqrt(7) + sqrt(7) + 4. 12*sqrt(7) + 41 Simplify -2 + (sqrt(72) + -1 + sqrt(72) + -2 + sqrt(72))**2. -108*sqrt(2) + 655 Simplify (-2*sqrt(980))/((sqrt(4) - sqrt(16))*6). 7*sqrt(5)/3 Simplify -5*(1 + sqrt(13) + 4 + (sqrt(13)*2)**2*3). -805 - 5*sqrt(13) Simplify 1 + (2 + sqrt(2736))**2 + -1. 48*sqrt(19) + 2740 Simplify (-6*sqrt(104)*1)/sqrt(8). -6*sqrt(13) Simplify -5 + (sqrt(6)*1)/sqrt(2) - (sqrt(243) + 3 + (sqrt(243) - (sqrt(243) + 1)))**2. -252 - 35*sqrt(3) Simplify sqrt(18)/sqrt(216) + 3. sqrt(3)/6 + 3 Simplify (sqrt(2299) + -3)*-5. -55*sqrt(19) + 15 Simplify sqrt(20)/(sqrt(4) - sqrt(36)*-2). sqrt(5)/7 Simplify -5 + -2 + sqrt(78)/(sqrt(24)/sqrt(4)). -7 + sqrt(13) Simplify ((sqrt(15) - (1*sqrt(15) + sqrt(15)))*-1 + sqrt(15))/(sqrt(5) + 2*sqrt(5)*2). 2*sqrt(3)/5 Simplify (((sqrt(21)*-2)/sqrt(3) - sqrt(7)) + -1)*2 + 1. -6*sqrt(7) - 1 Simplify ((sqrt(27) - sqrt(54)/sqrt(2) - sqrt(27))*-4 + sqrt(27))/((sqrt(189)/sqrt(3))/sqrt(7)). 5*sqrt(3) Simplify (2*(2*sqrt(76) + sqrt(19)))**2*2. 3800 Simplify (sqrt(121) - -3*(sqrt(121) + -1*sqrt(121)))/(sqrt(891)*2). sqrt(11)/18 Simplify (-5 + -1 + sqrt(17))**2 - sqrt(119)/sqrt(28). -25*sqrt(17)/2 + 53 Simplify sqrt(513)/sqrt(3)*6*3. 54*sqrt(19) Simplify -3 + 4*((sqrt(78)/sqrt(6))**2 - sqrt(13)) + sqrt(78)/((sqrt(6) - sqrt(24)/sqrt(4)) + sqrt(6) + sqrt(6)) + sqrt(13). -5*sqrt(13)/2 + 49 Simplify 2 + ((sqrt(1573) + 4 - sqrt(1573))**2 - sqrt(1573)). -11*sqrt(13) + 18 Simplify (-1 + sqrt(125))**2 - (sqrt(240)/sqrt(4))/sqrt(12). -11*sqrt(5) + 126 Simplify (-6*(sqrt(162) + sqrt(162) + -1) - 2*sqrt(162)*-6)**2. 36 Simplify (-3*(sqrt(19) - (sqrt(1900) - 3*sqrt(1900))))**2. 75411 Simplify sqrt(20)/(sqrt(12)/sqrt(3)) - (sqrt(15) - sqrt(45)/sqrt(3))/sqrt(3). sqrt(5) Simplify (2*((sqrt(30)/sqrt(2) + sqrt(15))*-6 - sqrt(15))/sqrt(3))**2. 3380 Simplify (((sqrt(228) + (sqrt(228) - sqrt(228)*-2))*4)/(2*sqrt(12)*-1))**2. 1216 Simplify 5*3*(2 + sqrt(5)). 30 + 15*sqrt(5) Simplify -4 + sqrt(76)*-5. -10*sqrt(19) - 4 Simplify 4 + -3*(1 + sqrt(275)). -15*sqrt(11) + 1 Simplify 4 + (-1 + -3*sqrt(7))**2 + (sqrt(35)/sqrt(5))**2*-5. 6*sqrt(7) + 33 Simplify (sqrt(720)*-2*2)**2. 11520 Simplify 5 + (sqrt(162)*3*-6)**2. 52493 Simplify (sqrt(168)/sqrt(6) - ((sqrt(7) + -2)**2 + sqrt(7) + sqrt(7) + -3)) + -3. -11 + 4*sqrt(7) Simplify 5*((sqrt(5) - (sqrt(125) + sqrt(125)*2)) + -2)**2. 280*sqrt(5) + 4920 Simplify 6*((3 + -1 + sqrt(1053))**2 + -4). 216*sqrt(13) + 6318 Simplify (((sqrt(13) + 1)*-4)**2 - sqrt(39)/(sqrt(6)/sqrt(2))) + -3. 31*sqrt(13) + 221 Simplify (sqrt(34)/(sqrt(2) + sqrt(12)/(sqrt(6) + (sqrt(6) - sqrt(6)*1))))**2. 17/4 Simplify -5*(-1 + 4*sqrt(98))**2. -7845 + 280*sqrt(2) Simplify -5*(sqrt(19) + 3 + sqrt(19))**2 + -3 + sqrt(19) + -3. -431 - 59*sqrt(19) Simplify 3 + ((sqrt(385)/sqrt(7))/sqrt(5))**2. 14 Simplify ((-2*sqrt(132) + sqrt(132))*4)/(sqrt(12) + sqrt(300) + sqrt(300)*-2 - sqrt(12)). 4*sqrt(11)/5 Simplify ((0 + sqrt(153))**2 + 1 + sqrt(153) - sqrt(153))*-2. -308 Simplify 4*(-3*(sqrt(125) + 0))**2. 4500 Simplify (sqrt(275) + 0)**2 - 3*(sqrt(11) + sqrt(11)*-2 + sqrt(11)). 275 Simplify (sqrt(26)/(-3*2*sqrt(2)))**2. 13/36 Simplify ((sqrt(108) - -3*(sqrt(108) + 1)) + sqrt(108))**2 + -2. 180*sqrt(3) + 2707 Simplify -3*(-2*sqrt(320) + 3). -9 + 48*sqrt(5) Simplify ((2*sqrt(19)*1)**2 - (3 + (sqrt(19) - sqrt(171))))*2. 4*sqrt(19) + 146 Simplify sqrt(11)*2*-3 + -2. -6*sqrt(11) - 2 Simplify ((-3*sqrt(440))/sqrt(10))**2. 396 Simplify -3 + (-5 + sqrt(3)*2)**2 + sqrt(363)*-2. -42*sqrt(3) + 34 Simplify (sqrt(504)/(2*sqrt(8) + sqrt(8)))/sqrt(9). sqrt(7)/3 Simplify (1*(1*sqrt(171) - sqrt(19)))**2. 76 Simplify (sqrt(91)*-1*4)/(sqrt(700) + sqrt(700)*-2). 2*sqrt(13)/5 Simplify (sqrt(1100) + -3 - (sqrt(11) - (sqrt(11) + -3))*-3)**2. 120*sqrt(11) + 1136 Simplify (-4 + sqrt(76)/(sqrt(20)/sqrt(5)))*1. -4 + sqrt(19) Simplify (sqrt(7) - (sqrt(84) + (sqrt(84) - sqrt(84)*2))/sqrt(12)) + (sqrt(7) - (sqrt(7) - (sqrt(105)/sqrt(5))/sqrt(3))). 2*sqrt(7) Simplify (1*sqrt(1100)*2)**2. 4400 Simplify (sqrt(30)/sqrt(3) + sqrt(10))/sqrt(5) - (sqrt(2) + sqrt(32) + 3 + sqrt(2) + sqrt(2))**2. -107 - 40*sqrt(2) Simplify (-4 + -2*sqrt(11) - (sqrt(99) + 3))**2 + sqrt(44)/sqrt(4) + 1 + sqrt(396) + 0. 77*sqrt(11) + 325 Simplify ((sqrt(108) - 2*sqrt(108))/sqrt(9))/(-1*sqrt(64)). sqrt(3)/4 Simplify (1*sqrt(396))/(sqrt(4) - (sqrt(4) + sqrt(324)*-2))
{ "pile_set_name": "DM Mathematics" }
47277. 27 Calculate the greatest common factor of 40068 and 1456. 28 What is the highest common divisor of 623 and 281863? 89 Calculate the greatest common divisor of 989847 and 427. 61 Calculate the highest common divisor of 2574 and 72039. 33 Calculate the highest common divisor of 426 and 24069. 213 What is the highest common divisor of 44 and 2101? 11 Calculate the greatest common factor of 72826 and 2574. 26 Calculate the highest common divisor of 153 and 13787. 17 Calculate the greatest common divisor of 2987 and 9483. 29 Calculate the highest common factor of 6345424 and 989. 989 Calculate the greatest common divisor of 66025 and 11875. 475 What is the greatest common factor of 17328 and 1140? 228 Calculate the highest common factor of 335358 and 930. 186 What is the highest common divisor of 1871076 and 1968? 492 What is the greatest common divisor of 9517740 and 90? 30 Calculate the greatest common factor of 42000 and 80. 80 What is the greatest common factor of 7 and 268? 1 What is the highest common factor of 25 and 402350? 25 Calculate the highest common divisor of 86 and 2365. 43 What is the greatest common factor of 1530 and 8706? 6 What is the greatest common factor of 28404 and 540? 108 Calculate the highest common divisor of 3 and 292798. 1 What is the highest common factor of 74358 and 374? 34 Calculate the highest common factor of 616278 and 78. 78 Calculate the highest common divisor of 1602373 and 5284. 1321 Calculate the highest common divisor of 39 and 170430. 39 Calculate the greatest common divisor of 825 and 64900. 275 What is the greatest common divisor of 54 and 2076813? 27 What is the greatest common divisor of 6984 and 117000? 72 What is the highest common factor of 96339 and 34? 17 Calculate the greatest common factor of 1155 and 197015. 35 Calculate the highest common factor of 92697 and 377784. 1749 What is the highest common factor of 424 and 265? 53 Calculate the greatest common divisor of 480 and 288516. 12 Calculate the highest common divisor of 207 and 9292851. 207 Calculate the highest common factor of 2709 and 3921729. 903 What is the highest common divisor of 132 and 271249? 11 What is the highest common factor of 31768 and 200? 8 Calculate the greatest common factor of 1340122 and 42. 14 Calculate the greatest common divisor of 1900 and 33100. 100 Calculate the highest common divisor of 3981872 and 64. 16 What is the highest common divisor of 355094 and 1548? 86 Calculate the highest common divisor of 54791 and 253. 11 What is the greatest common factor of 1407 and 54069? 201 What is the highest common divisor of 63 and 6129? 9 Calculate the highest common factor of 219365 and 5840. 365 Calculate the greatest common factor of 93418 and 182. 26 Calculate the greatest common factor of 3087 and 154007. 343 Calculate the highest common divisor of 1638 and 4569474. 546 What is the highest common divisor of 115075 and 2300? 25 What is the highest common divisor of 309 and 623253? 309 Calculate the highest common factor of 20823 and 363. 33 Calculate the highest common divisor of 305165 and 35. 35 Calculate the greatest common factor of 238950 and 2754. 162 Calculate the greatest common divisor of 344 and 374616. 344 Calculate the greatest common divisor of 468 and 1612. 52 What is the highest common factor of 496 and 11036? 124 What is the greatest common factor of 52 and 46267? 13 What is the highest common divisor of 22 and 1151986? 22 What is the highest common factor of 27854 and 16859? 733 Calculate the greatest common factor of 17212 and 11. 1 What is the highest common factor of 1406 and 684? 38 Calculate the highest common divisor of 90 and 79155. 45 What is the greatest common divisor of 3298 and 459? 17 What is the greatest common divisor of 135 and 61735? 5 What is the highest common divisor of 7199 and 736? 23 What is the greatest common divisor of 190743 and 1302? 651 What is the highest common divisor of 3657 and 30337? 23 Calculate the greatest common factor of 1137554 and 29. 29 Calculate the highest common factor of 321970 and 1980. 110 Calculate the highest common factor of 24 and 3248624. 8 What is the highest common factor of 399 and 357? 21 Calculate the highest common divisor of 1312 and 50348. 164 What is the highest common factor of 983 and 2837921? 983 Calculate the greatest common divisor of 3243 and 107536. 47 What is the highest common divisor of 4497784 and 232? 232 What is the highest common divisor of 600201 and 3087? 441 What is the greatest common divisor of 43614 and 36? 18 Calculate the highest common factor of 90199 and 2. 1 What is the highest common factor of 138880 and 480? 160 What is the highest common factor of 42 and 147903? 21 What is the greatest common factor of 4978626 and 258? 258 Calculate the greatest common factor of 327976 and 132. 44 What is the greatest common factor of 1645 and 13395? 235 Calculate the greatest common divisor of 7216 and 24299. 11 What is the highest common factor of 88 and 2570084? 44 What is the greatest common factor of 10088 and 2392? 104 What is the greatest common factor of 7908 and 2748? 12 What is the greatest common divisor of 272 and 1346944? 272 Calculate the greatest common divisor of 25443 and 891. 99 Calculate the greatest common divisor of 39 and 12389. 13 What is the greatest common divisor of 7801 and 31697? 29 Calculate the greatest common factor of 175 and 2514295. 35 What is the highest common factor of 603 and 459? 9 Calculate the highest common divisor of 1098 and 193614. 366 What is the greatest common divisor of 2912 and 10976? 224 What is the highest common factor of 240 and 836? 4 Calculate the highest common divisor of 204 and 34119. 51 Calculate the greatest common divisor of 204722 and 14. 14 What is the greatest common factor of 73242 and 10329? 939 What is the highest common factor of 8 and 3908964? 4 What is the highest common factor of 5994 and 18? 18 What is the highest common factor of 20 and 4065580? 20 Calculate the highest common factor of 17420 and 104. 52 Calculate the highest common factor of 56 and 8498. 14 What is the highest common factor of 235950 and 4576? 286 Calculate the greatest common factor of 9309 and 15051. 87 What is the highest common factor of 2043443 and 5455? 1091 What is the greatest common divisor of 1610 and 95? 5 What is the highest common factor of 33972 and 60? 12 What is the greatest common divisor of 1876 and 83846? 14 What is the greatest common factor of 2762383 and 962? 481 Calculate the greatest common divisor of 6696590 and 10. 10 Calculate the highest common factor of 66 and 155166. 66 Calculate the highest common divisor of 5808 and 60. 12 What is the greatest common divisor of 374891 and 985? 197 What is the greatest common divisor of 340 and 82195? 85 What is the highest common divisor of 4693 and 141151? 361 Calculate the highest common divisor of 900 and 564. 12 Calculate the greatest common divisor of 324573 and 48. 3 What is the greatest common factor of 65 and 1835? 5 Calculate the greatest common factor of 260820 and 2205. 315 What is the greatest common divisor of 7425 and 2430? 135 Calculate the greatest common factor of 226 and 257301. 113 What is the greatest common divisor of 918 and 52356? 6 What is the greatest common divisor of 1197 and 20538? 63 What is the highest common factor of 7214805 and 36? 9 What is the greatest common divisor of 597852 and 300? 12 Calculate the greatest common factor of 43273 and 54786. 397 What is the highest common divisor of 277013 and 319? 11 Calculate the greatest common factor of 175776 and 96. 96 What is the greatest common divisor of 630 and 22820? 70 Calculate the greatest common divisor of 10230 and 715. 55 What is the highest common divisor of 2165 and 5170453? 433 What is the highest common divisor of 10087 and 847? 77 Calculate the highest common divisor of 4264 and 229944. 104 What is the greatest common divisor of 8075 and 1785? 85 Calculate the greatest common divisor of 13631 and 1161. 43 What is the highest common factor of 93 and 314402? 31 Calculate the highest common factor of 70415 and 5. 5 Calculate the greatest common factor of 1046550 and 15. 15 What is the greatest common factor of 897 and 5
{ "pile_set_name": "DM Mathematics" }
uming q is positive. q**(41/7) Simplify ((c*c**(1/35)*c**(-7)/c)**(-37))**(2/65) assuming c is positive. c**(18056/2275) Simplify ((z*z*z**(-1/5)/z*z*z)**(-33))**(-20)/((z**(-4/9)/z*z/(z*z/(z*z**(-5)*z)))/(z**0)**45) assuming z is positive. z**(16681/9) Simplify (((a/(a**2/a))/a)/a**1*(a/a**(2/3))**(-2/35))/((a**(1/4))**(-14)/((a/a**(-2/5))/a)**(2/87)) assuming a is positive. a**(605/406) Simplify (x**(1/2)/(x/x**(-3)))/((x*x**(-2)*x)/((x*x**(-2/9)*x*x)/x*x*x))*(x/((x*(x**(-1)*x)/x)/x))**(-1/57)/(x**0/(x/x**(3/5))) assuming x is positive. x**(1099/1710) Simplify ((c**0*c**6/c)/(c*c/c**2)**(1/7))/((c**(4/7)/c*(c*(c*c**3)/c)/c)/(c*c**(-3/10)*c**(4/5))) assuming c is positive. c**(55/14) Simplify m*m**3*m*m*m*m**(-4/9)*m**(3/7)/m*m*m**(2/7)*m*m*(m*m**0)**(-4/19)/((m**4/m*m)/m**(-6/5)) assuming m is positive. m**(23098/5985) Simplify ((l*(l*l*l**(-6)*l)/l*l**3)/(l**(1/6)*l**(-2/13)))/((l/(l/(l**(-11)*l)))/l**(-5))**(20/3) assuming l is positive. l**(2599/78) Simplify ((u*u**0)**12/(u*u**(3/7)*u/(u*u**(2/11))))/(u**6*u/(u*u*u**(-2/11)/u*u))**41 assuming u is positive. u**(-15531/77) Simplify ((t**29/(t**(-17)*t*t))**49)**(-2/73) assuming t is positive. t**(-4312/73) Simplify ((r**1)**(-29/5)*r**(2/3)/((r/(r*r*r**(-1)))/r))/((r*r**(-1))**28*r**(-2/5)*r**5) assuming r is positive. r**(-131/15) Simplify (((s/(s*s*s**4*s*s*s))/s**(3/2))/(s**4/(s**(-5/7)/s)))**37 assuming s is positive. s**(-7881/14) Simplify ((((c*c**(1/2))**(-19/5))**(-2/113))**9)**34 assuming c is positive. c**(17442/565) Simplify (g*((g/(g**(-1/2)/g))/g)/g)**(-1/12)/(g**(-9)/g**6)*g**(1/3)*g**0*(g**(-1)*g)**(-1/17) assuming g is positive. g**(365/24) Simplify (v*v/(v/(v**3*v))*v*v**(-2/5)*(v**(-1))**49)/(v/(v*((v*(v/v**(-1/3)*v)/v)/v)/v)*v**(-6)*v**4/v**(-4/9)) assuming v is positive. v**(-1868/45) Simplify w**15/w**8*(w*w**(12/11))/w**17 assuming w is positive. w**(-87/11) Simplify (((f*f**(-7))/f**(-12))**38)**(-2/69) assuming f is positive. f**(-152/23) Simplify (((y*y*y/y**4)/(y**(-1/8)/y*y))/((y**2/y)/y**(-5)))/((y**(-1)*y**(-1/3)*y)/(y**(-4)/y**(-2))) assuming y is positive. y**(-205/24) Simplify ((w**0)**(-40)*(w/w**(1/3))**4)/(((w**(1/9)*w)/(w*w/w**(-1/2)))/(w**6*w/(w/(w**(-1)*w*w))*w)) assuming w is positive. w**(217/18) Simplify ((f/f**(2/5))/(((f**4/f)/f)/f)*f**(-1)*f**6)/(((f*(f*f**(4/3)*f)/f)/f**0)/(f**(1/4))**8) assuming f is positive. f**(49/15) Simplify ((y/((y/y**1)/y))**(-40)*y**(-15)/y*y**(7/6))**(-19) assuming y is positive. y**(10811/6) Simplify (a/(((a**3/a)/a)/a))/((a*a*a*a**(2/9)*a)/a)*(a**(-2/9))**(-12)*a/(a/(a/(a**6*a*a)))*a/(a*a**(4/9))*a*(a**(-1/4)*a)**(-2/83) assuming a is positive. a**(-999/166) Simplify (u**(-1/5)*u*u/u**(2/3))**(7/13)/((u**4/(u**(-2)*u))/(u**5*(u**(-3)/u*u)/u)) assuming u is positive. u**(-661/195) Simplify (l*l**0)**(-9/7)*((l**(-2)/l)/l)/(l*l/(l*l**(-1/5)/l*l*l*l)*l)*l**(-4)*l*l**(4/7)*l*l**(-1)*(l*l**(-2/7))/l assuming l is positive. l**(-41/5) Simplify (b**5*(b/(b/(b**(3/4)/b*b))*b)/b)**(-1/24)*((b**(6/5)/b)/((b**(-8)*b*b)/b))/(b/((b**1*b)/b))**(2/93) assuming b is positive. b**(3341/480) Simplify (d**(1/4)*d**(-1)*d)/(d**2/(d*d*d*d/d**(1/5)*d))*d**(1/12)/d**(2/5)*(d*d**(-5)/d)/(d/(d**5/d)) assuming d is positive. d**(11/15) Simplify ((((t**(2/3)/t*t)/(t/(t/t**(-6)*t)))/((t**(-2)*t*t)/(t*t*t/t**(-1/10))))**(13/6))**50 assuming t is positive. t**(20995/18) Simplify (q/q**(4/9)*q*q**6)**(3/13)/((q/(q/q**4))/q*q/(q*q**2)*(q**(-1/4))**(-2/71)) assuming q is positive. q**(4079/5538) Simplify ((k**0*k)**(-31))**(2/81)/(k*k/k**(-3/4)*(k/(k*k**6))/k*k*k**(4/9)*k*k*k**2) assuming k is positive. k**(-635/324) Simplify ((x**(-3/8))**1/(x**20*x**5*x))**(-1/4) assuming x is positive. x**(211/32) Simplify (((c**1*c/c**(-1/21))**7)**(-6/7))**(2/25) assuming c is positive. c**(-172/175) Simplify s**26/(s/(s**(-2/53)*s))*s**(-38)*s*s*s*s**(2/57) assuming s is positive. s**(-27197/3021) Simplify ((n**(-2/7))**39)**(-2/5)/(n*n**(-3)*((n*n*n*n**(-4/3)*n*n)/n)/n*n*(n*n**(1/4))/n**(1/3)) assuming n is positive. n**(1207/420) Simplify ((n/(n*n/n**(2/17))*n)**(-26/3)/(n*n*n**(-2/19))**2)**(-45) assuming n is positive. n**(69900/323) Simplify (b/(b*(b**(1/13)/b)/b*b*b*b*b)*b*b**(-5))/(b/(b*b**(-1)/b)*b**(-4))*(((b/b**(1/3)*b)/b)/(b**(-2/21)/b))**(-18) assuming b is positive. b**(-3257/91) Simplify (g*g**48*g*g*g*g*g**16)/(g*g*g**(-27)*g**(-25)) assuming g is positive. g**119 Simplify (((u*u*u**(-4/7))/u**(-2/17))/(u/(u/u**(2/3))*(u*u**(-5))/u))/(u/((((u*((u*u**(-2/3)/u)/u)/u)/u)/u)/u)*u/u**(-7))**(-1/20) assuming u is positive. u**(46859/7140) Simplify h**(-7)/(((h/((h/(h*h**5)*h*h)/h))/h)/h)*h/h**(-3/5)*h**5*(h/(h**(1/3)*h))/h**(-9)*(h**(1/4))**(-10) assuming h is positive. h**(83/30) Simplify (n**(1/3)*n/(n**(-4)*n))**(-2/81)/((n/(n/(n*n/n**(3/2))))/(n/(n*n/(n*n**(2/15))))*n**1*n**1) assuming n is positive. n**(-6011/2430) Simplify (t**1/t**(-5/7))**(1/3)/((t*t/(t**(-1/3)/t))**(-2/21)*(t**(2/7))**(-41)) assuming t is positive. t**(794/63) Simplify (u**(2/9)/u*u**(-8))**5*u**2*u*(u*u**(2/5))/u*u*u**3/u**(-7) assuming u is positive. u**(-1327/45) Simplify (((s/s**(10/7))/s)**(3/8)*(s/(s**(-20)*s))**(-44))**(8/19) assuming s is positive. s**(-49310/133) Simplify ((d**(1/4)*d**(-3/8)*d)/(d**1)**(1/6))/(d/(d*d**7*d)*d**(-1)*(d**(2/7))**(-4)) assuming d is positive. d**(1823/168) Simplify (((g**6/(g/(g**(-13)*g)))/(g**(-3))**19)**(9/8))**(3/7) assuming g is positive. g**(675/28) Simplify ((y**1/y)/y)**(-9/2)/((y*y**(-1))/y)**(-14/9)*(y**1)**(19/2)*y**(1/6)*y**(-1/8) assuming y is positive. y**(899/72) Simplify (((t/(t/(t*t/t**(2/7))))**(-40)/((t*t/t**(-1/8))/(t*(t**(-8/7)*t)/t)))**(-2/7))**31 assuming t is positive. t**(122977/196) Simplify (a**40*a*a*a*a/a**(25/6)*(a**(-3/8))**44)**(-3) assuming a is positive. a**(-70) Simplify (((h/(h**19/h))/(h*h**(-1/19)/h*h))**40)**(2/37) assuming h is positive. h**(-27280/703) Simplify (f**(-3/5)*f**0*f)**(-39)/(((f**0/f)/f**4)/(f*f**(2/7)/f*f*f**1)) assuming f is positive. f**(-291/35) Simplify (g/g**(-4/9)*g**(-4))**42*(g**(2/3)/(g*g**3))**30 assuming g is positive. g**(-622/3) Simplify ((((y**2/y)/y*y**(-2))/((y/(y*y/y**(-2/19)*y)*y)/(y**(-2)/y)))**(-7))**(-47) assuming y is positive. y**(-24346/19) Simplify ((x**1)**(-44))**(-8)*(x*x*(x**2*x)/x*x*x**5)/(((x*x/(x*(x/((x*x**4*x)/x))/x)*x*x)/x)/x**3) assuming x is positive. x**358 Simplify (((w**6*w*w/(w**(-1/6)*w))**2)**(-6/19))**(-1/44) assuming w is positive. w**(43/418) Simplify ((v**(-2/7))**14*(v*v**15*v*v)/v**8)**(-4) assuming v is positive. v**(-24) Simplify ((t**6/t*t/t**6)/(t/t**(3/2))**(4/3))**(-22/3) assuming t is positive. t**(-44/9) Simplify (a**(2/19)/(a/(((a**(-1)/a*a)/a)/a)))/(a**(-2/9)*a/(a**(2/11)*a*a))*(a/((a**1*a)/a))**(6/11)/(a**5/(a/a**(-4/7))) assuming a is positive. a**(-77939/13167) Simplify (((i*i**(-1)*i)/i)**(5/6)*i/(i/((i/(i*i*i*i**(-1/6))*i)/i))*(i*(i**0/i)/i)/i)/(i*i**(-6)*i*i**(-2/15))**41 assuming i is positive. i**(4969/30) Simplify (((k*k**6/k)/k*k*k**(1/3))/(k/k**(-2/7)*k/(k/(k*k**(-2))*k)))/((k**(-2/17)/k*k)/(k/k**(-7)))**(-45) assuming k is positive. k**(-127894/357) Simplify (a**(-11))**31/(a/a**(2/23)*a*a**(9/8)) assuming a is positive. a**(-63303/184) Simplify ((c*c/(c*c**(2/5)))**24*c**(-8)*c*c**(-13))**14 assuming c is positive. c**(-392/5) Simplify ((s/s**(1/5)*s/(s*s*s**6*s)*s/(s/(s**(-2)*s))*s*s**(-11))**(-30))**(6/5) assuming s is positive. s**(3276/5) Simplify (((u*u*(u/(u/u**(-3)))/u)**3/(u/((u/(u*u*u/(u*(u*u**(-2/5))/u)*u))/u)*(((u/u**(-3))/u*u)/u*u)/u*u))**(-1/84))**(-10/11) assuming u is positive. u**(-12/77) Simplify w**(-32)/w**15*w**(1/75)*w*(w*w**(-40)*w)/w*w assuming w is positive. w**(-6299/75) Simplify b/b**41*b**(1/14)*b*b*b/b**14*b*b*b/b**(-20) assuming b is positive. b**(-391/14) Simplify ((u**(10/13)/u**(-2/27))/((u*u*u**(-1/6)*u*u)/((u/(u*u**31))/u)))**4 assuming u is positive. u**(-49126/351) Simplify ((v**(-2))**(2/57)*(v**(1/2))**(-2))/(v*v*v*v*v**5*v*v**6*(v/v**0)**(-2/9)) assuming v is positive. v**(-2881/171) Simplify (v**(2/19)/v**(-3/4))**37*v/(v**0*v)*v/(v*v**(-2/9)/v)*v*v**(-3/7)*v**7 assuming v is positive. v**(193619/4788) Simplify ((w/(w*w/(w**(-2)*w)))**(1/8)*((w**5/w)/w)**(-27))**(-2/101) assuming w is positive. w**(325/202) Simplify (((((r*(r*r**0)/r*r)/r)**(22/9))**(-33))**(-1/2))**1
{ "pile_set_name": "DM Mathematics" }
4/(-12))/(3/27). Calculate the remainder when j is divided by 6 + -1 + p - -2. 3 Let f(s) = 2*s**2 + 5*s - 2. Calculate the remainder when 89 is divided by f(-5). 20 Suppose 114 + 156 = 2*a. Suppose a = 5*l - 2*t, -28 - 142 = -5*l - 5*t. What is the remainder when l is divided by 10? 9 Let g be 1 + (-2 - 9*-47). Suppose -2*i + g = 2*i + 5*v, 0 = 4*i - 4*v - 404. Calculate the remainder when i is divided by 26. 25 Suppose -4*p = -5*m - 0*m + 25, 0 = 5*p. Suppose -5*b + 17 = 4*k - 2*b, 4*k = b + m. Let y = k + -1. Calculate the remainder when 1 is divided by y. 0 Calculate the remainder when 2/(-4)*(-119 + -5) is divided by 22. 18 Suppose b - 2 = 17. What is the remainder when b is divided by 14/105 + (-73)/(-15)? 4 What is the remainder when 13 is divided by (28/(-16))/((-1)/4)? 6 Suppose 14*y - 603 = 167. What is the remainder when 218 is divided by y? 53 Calculate the remainder when 8 is divided by 2 + 4 + 2 + -6. 0 Suppose 31 = 8*u - 137. Calculate the remainder when 102 is divided by u. 18 Let r = -17 - -19. What is the remainder when 5 is divided by r? 1 Let t(r) = 58*r + 6. Calculate the remainder when t(1) is divided by (21 - -1*2) + -1. 20 Calculate the remainder when 60 is divided by 3*((-51)/(-9) + 2 + -2). 9 Suppose 0 = 4*f - 2*f - 46. Let w = -8 + f. Let t = 22 - w. Calculate the remainder when 27 is divided by t. 6 Let y = 12 + -9. Suppose 0 = -b - y*u + 18, 5*b = -5*u + 94 - 34. Calculate the remainder when 24 is divided by b. 6 Let m(k) = 2*k - 1. Let r(n) = -n + 3. Let o be r(0). Suppose 0 = -o*w + w + 16. Calculate the remainder when w is divided by m(2). 2 Let h(p) = p**3 - 5*p**2 + 2*p - 4. Let l = -4 + 9. Let y = -25 + 41. Calculate the remainder when y is divided by h(l). 4 Let u(w) = w**2 + 4*w + 2. Let a be u(-4). Suppose 49 = z - 4*h, -2*z = -3*z + a*h + 59. Calculate the remainder when z is divided by 36. 33 What is the remainder when (-4)/6 - 268/(-6) is divided by (-4 + -1)*1*3/(-1)? 14 Let d(o) = o + 13. What is the remainder when d(20) is divided by 9? 6 What is the remainder when 61 is divided by (-150)/45*48/(-10)? 13 Suppose -g + 9 = 2*g. Suppose -5*b + 18 + 42 = 0. Calculate the remainder when b is divided by g. 0 Suppose 4*b - 364 - 52 = 0. Suppose 0 = v - 4*l - 12, -4*v + 5*l + 17 = -9. Suppose v*t = -0*t + b. What is the remainder when t is divided by 9? 8 Let m = -320 + 331. What is the remainder when m is divided by (-1)/(-1) + (4 - 1)? 3 Let n(o) = o**2 + 5*o + 8. Let w = -19 - -73. Calculate the remainder when w is divided by n(-6). 12 Let h(i) = 4*i**2 + i + 1. What is the remainder when 42 is divided by h(-2)? 12 Suppose 0*i + 4*c + 80 = 3*i, -3*c = -i + 35. Suppose h + 2*h - 177 = 0. What is the remainder when h is divided by i? 19 Suppose -6*y = -2*y - 20. Let u(b) = -b**2 + 6*b + 9. What is the remainder when u(6) is divided by y? 4 Let v(t) = t**2 + 6*t + 3. Let a be v(-6). Let i be (1/(-2))/(a/(-582)). Suppose -i - 33 = -5*l. Calculate the remainder when l is divided by 9. 8 Suppose 2*v - 158 = -56. Suppose -v = -q + 5*c, -5*q - 4*c = -579 + 179. What is the remainder when 28 is divided by q/8 + (-1)/(-2)? 8 Suppose 5*t + 2 = 17. Suppose -5*l = -4*n + 2, 10 = -l + 5*n - t. Suppose -h + 2 = 3*c, l*h + 0*c + 2*c - 12 = 0. What is the remainder when h is divided by 3? 2 Let a(t) = -2*t + 4. Let z be a(-9). What is the remainder when (z/6)/((-3)/(-9)) is divided by 4? 3 Let s = 3 + -2. Let y(d) = 3*d**2. Calculate the remainder when 9 is divided by y(s). 0 Suppose 2*r + q = 65 + 13, 0 = -5*r - 4*q + 195. Let h(j) = 21*j + 74. What is the remainder when r is divided by h(-3)? 6 Suppose -2*d = 3*d - 15. Suppose -30 - 4 = -d*k + 4*n, n = 3*k - 40. Calculate the remainder when 53 is divided by k. 11 Let f = -10 + 13. Suppose 5*h + 0*h - f*d - 113 = 0, -2*d - 17 = -h. Calculate the remainder when h is divided by 13. 12 Suppose 27*n + 16 = 29*n. Calculate the remainder when 63 is divided by n. 7 Suppose 0 = 2*w + 7 - 13. Suppose 2*m - 22 = -3*y, 0 = -w*m - 3*y + 13 + 20. Calculate the remainder when 42 is divided by m. 9 Let j(r) = -r - 1. Let u(p) = p - 9. Let z(v) = 5*j(v) - u(v). What is the remainder when z(-4) is divided by 10? 8 What is the remainder when 10/35 + (-10)/(-14) is divided by 1? 0 Let u(b) = -b + 7. Let q(h) = -7*h - 1. Let c be q(-1). Let d(r) = r**3 - 6*r**2 - 5. Let k be d(c). What is the remainder when 35 is divided by u(k)? 11 Let o be (-48)/(1 - 1 - 1). Let w = o - 24. Calculate the remainder when w is divided by 13. 11 Suppose u = d - 0*u - 18, -3*u = d - 18. What is the remainder when d is divided by 10? 8 Let i = 93 + -26. Suppose -6 = -4*g + g. Suppose -3*j = g*n - 67, -4*n + 7*n = -3. Calculate the remainder when i is divided by j. 21 Let x be -2 + 1 + -1 + 1. Let z be -2 - -3 - x*1. Calculate the remainder when (-70)/(-3) + z/(-6) is divided by 8. 7 Let a be 3/6 + 13/(-2). Let s be a - (2 - 0 - 2). Let b = s + 24. Calculate the remainder when 53 is divided by b. 17 Suppose -95 = -5*n + 5*r, 2*r - 7 = -n + 12. Calculate the remainder when 69 is divided by n. 12 Suppose 4*q = -4*l - l + 43, q - 22 = l. Calculate the remainder when q is divided by 6. 5 Let t(a) = a**2 + 4*a - 26. What is the remainder when t(-8) is divided by 5? 1 Suppose -3*d = -4*d + 40. What is the remainder when d is divided by 14? 12 Suppose 3*c - 2*h = 29, 3*c - 8 = 3*h + 22. Let u be (-275)/3 - (-3)/(-9). What is the remainder when 12/18 - u/6 is divided by c? 7 Suppose 6*k - 3*k + 3 = 0, -3*p + 9 = 3*k. Suppose -p*t + 49 = c, -2*t + 4 = -2*c - 18. Calculate the remainder when 34 is divided by t. 10 Let d be (-1)/((6/(-4))/3). Suppose -30 = -d*p - p. What is the remainder when 18 is divided by p? 8 Let h(y) = y + 12. Calculate the remainder when h(24) is divided by 13. 10 Suppose -4*y = 2*a - 58 - 58, -2*y - 232 = -4*a. Let b = -7 + a. Calculate the remainder when b is divided by 26. 25 Let h = -2 + 2. Suppose -4*n + 156 = -h*n. Suppose 0*j + 34 = 2*y - 2*j, -2*j + 6 = 0. Calculate the remainder when n is divided by y. 19 Let k = 8 + -5. Suppose 108 = 4*u + 5*f, 3*u - k*f - 81 = -4*f. What is the remainder when 107 is divided by u? 26 Suppose -t + r - 19 = 0, -2*r - 7 = 5*t - 4*t. Suppose 2*w = -3*w + 110. Let x = t + w. Calculate the remainder when 26 is divided by x. 5 Let p be 9/6*2/3. Suppose 6*u - 4*u - 38 = 0. Calculate the remainder when u is divided by (-1)/((3/(-30))/p). 9 Suppose -4*p = -5*p - 2*i - 2, -4*p + 3*i + 14 = 0. Suppose -44 - 2 = -p*l. Calculate the remainder when l is divided by 6/(2 + -1) + 2. 7 Let q(d) = d - 1. Let j = -78 - -47. Let g = -29 - j. Calculate the remainder when g is divided by q(2). 0 Let l(d) = 5*d - 18. What is the remainder when 11 is divided by l(4)? 1 Calculate the remainder when 6 is divided by (-2)/(-2)*(2 - 0). 0 Let a be 3/(-1) - (3 - 0). Let n be a/(-21) + (-5)/(-7). Calculate the remainder when (15/(-3))/(n/(-3)) is divided by 9. 6 Let j(m) be the first derivative of m**3/3 + 7*m**2/2 - 2*m - 3. Let s be j(-6). What is the remainder when 27 is divided by s/12 + (-88)/(-6)? 13 What is the remainder when 34 is divided by (-7 + 9)*7/2? 6 Let s = -17 + 19. Suppose -5*v + 197 = 6*w - s*w, 0 = 3*w - 4*v - 140. Let t = -32 - -57. Calculate the remainder when w is divided by t. 23 Let b = 67 + -48. Suppose -36 = -5*i - 11. Calculate the remainder when b is divided by i. 4 Suppose -2*o = -3*x - 2, 2*x - 8 = -0*x. What is the remainder when 27 is divided by o? 6 Suppose 316 - 52 = 8*h. Calculate the remainder when 65 is divided by h. 32 Suppose 0 = -7*o + 10*o - 12. Suppose o*m - 4 = -0, 40 = 2*r + 4*m. What is the remainder when 33 is divided by r? 15 Let h(p) = -p**2 + 2. Let z be h(-2). What is the remainder when z/(-3) - 22/(-3) is divided by 3? 2 Suppose 56 = -5*b + 4*k, -5*k - 3 = 3*b + 1. What is the remainder when 4*1*(-86)/b is divided by 22? 21 Suppose 2*n + 7 = 3*h + 3*n, 5*h - 6 = 4*n. Let u(j) = j - 2. Let g be u(h). Suppose g = -2*c + 3 + 29. What is the remainder when 46 is divided by c? 14 Let u(q) = -q**2 - 6*q. Let n be (-1194)/(-12) + 1/2. Suppose -25 + n = 5*p. What is the remainder when p is divided by u(-4)? 7 Calculate the remainder when (-6)/33 - (-2052)/33 is divided by 16. 14 Suppose 8*z + 132 - 852 = 0. Calculate the remainder when z is
{ "pile_set_name": "DM Mathematics" }
rt(2) + 49 Simplify -1 + (-3 + (sqrt(10)/sqrt(2) + sqrt(5))**2 - (sqrt(80) - (sqrt(80) + -2))). 14 Simplify (-3*sqrt(32)/sqrt(4))**2. 72 Simplify (sqrt(24) - sqrt(168)/(sqrt(7) - (sqrt(7) + sqrt(28)/sqrt(4))))/sqrt(12). 2*sqrt(2) Simplify 6*(-3 + sqrt(28)/sqrt(4)). -18 + 6*sqrt(7) Simplify (sqrt(288)*1 + sqrt(288))**2 + -4. 1148 Simplify sqrt(91)/(sqrt(21)/sqrt(3) + sqrt(7)) + -2 + (sqrt(13) + -1)**2 + 1. -3*sqrt(13)/2 + 13 Simplify ((sqrt(20)/sqrt(4)*-5)**2 + sqrt(5) - sqrt(5)) + (-5*(sqrt(5)*1 - sqrt(5)) - sqrt(5))**2. 130 Simplify -4 + (sqrt(125) + 5 + -1 + sqrt(125))**2. 80*sqrt(5) + 512 Simplify -2*(-4*sqrt(26)/sqrt(2))**2. -416 Simplify -3*((sqrt(1584)*2)**2 - (sqrt(99) - (sqrt(99) - (sqrt(99) - 3*sqrt(99))**2))). -17820 Simplify (sqrt(132) + (sqrt(132) - 3*sqrt(132)*-1) - sqrt(132))/(sqrt(96)/(sqrt(8) - sqrt(288))). -20*sqrt(11) Simplify -2 + (sqrt(17) - (-2*sqrt(17))**2*3). -206 + sqrt(17) Simplify -6*sqrt(156)/(((sqrt(84) - sqrt(84)*1) + sqrt(84))/sqrt(7)). -6*sqrt(13) Simplify (sqrt(512)*-1)**2*-4. -2048 Simplify ((sqrt(76) + (sqrt(76) - 2*sqrt(76)) - sqrt(76))*3)/(sqrt(12)/(sqrt(3)*2)). -6*sqrt(19) Simplify -5 + sqrt(45)/sqrt(324). -5 + sqrt(5)/6 Simplify 3 + ((sqrt(210)/(sqrt(10)/sqrt(2)))/sqrt(6))**2. 10 Simplify ((sqrt(864) - (sqrt(864) + 1*sqrt(864))) + sqrt(864) - sqrt(864))/(sqrt(27)*6). -2*sqrt(2)/3 Simplify -2 + 0 + -3 + sqrt(21)/(sqrt(7)*1). -5 + sqrt(3) Simplify 3 + ((sqrt(16)*1)/sqrt(8) - (sqrt(24)/sqrt(4))/sqrt(3)) + -3. 0 Simplify sqrt(80) + (sqrt(80) + (sqrt(80) - sqrt(80)*-2))**2 + 2. 4*sqrt(5) + 1282 Simplify -4 + (sqrt(19) + (((sqrt(19) - 1*sqrt(19)) + sqrt(19))**2 - sqrt(19)) - sqrt(19)) + sqrt(19) + sqrt(57)/(sqrt(3) - sqrt(108)). -sqrt(19)/5 + 15 Simplify (sqrt(26)/sqrt(2)*6 + 6*sqrt(52))*2. 36*sqrt(13) Simplify (6*(sqrt(1331) + 1*sqrt(1331) + 0)*2)**2. 766656 Simplify (sqrt(700)*2)**2*6. 16800 Simplify (sqrt(114)*3*1)/(sqrt(216)*-3). -sqrt(19)/6 Simplify (-2*-1*sqrt(10))/sqrt(5). 2*sqrt(2) Simplify -1*(-6*sqrt(44) - sqrt(11)). 13*sqrt(11) Simplify ((sqrt(91) + 3*sqrt(91))*5)/(sqrt(63)*1). 20*sqrt(13)/3 Simplify (((sqrt(408)*1)/sqrt(8) - sqrt(51))/(-1*sqrt(147)))**2. 0 Simplify -5*(sqrt(80) + sqrt(80) + (-1*sqrt(80))**2). -400 - 40*sqrt(5) Simplify (1*sqrt(1372) + sqrt(28))/(sqrt(256)*-2 - sqrt(256)). -sqrt(7)/3 Simplify (sqrt(2448) + 2)**2 + -1. 48*sqrt(17) + 2451 Simplify 0 + (sqrt(19) - (sqrt(19) + sqrt(114)/(sqrt(18)/sqrt(3)))). -sqrt(19) Simplify 1*sqrt(2) + 1 - (-2*sqrt(18)/sqrt(9))**2. -7 + sqrt(2) Simplify (sqrt(700) + -1 + sqrt(700) + sqrt(700) + sqrt(700))**2 + sqrt(70)/(2*sqrt(10)) + -4. -159*sqrt(7)/2 + 11197 Simplify -2*((sqrt(1500) + 1*sqrt(1500) + sqrt(1500) - sqrt(1500)) + sqrt(60) + sqrt(60))/(sqrt(84)/(sqrt(21)/sqrt(3))). -24*sqrt(5) Simplify (3*sqrt(78))/sqrt(6) - (sqrt(13) + (sqrt(13) - (sqrt(13) + -3 + 0)**2)). -5*sqrt(13) + 22 Simplify ((2*sqrt(133) + sqrt(133))*-4)/sqrt(7). -12*sqrt(19) Simplify sqrt(14)/(sqrt(14)/sqrt(2)) + 2. sqrt(2) + 2 Simplify ((sqrt(3500)*1)/(sqrt(28)/sqrt(4)*-2)*4)**2. 2000 Simplify 4*sqrt(57)/sqrt(3) + ((0 + sqrt(475) + sqrt(475))**2 - sqrt(19)). 3*sqrt(19) + 1900 Simplify sqrt(11) + sqrt(88)/(sqrt(8)*-2 - sqrt(8)) - -6*(-1*sqrt(11))**2. 2*sqrt(11)/3 + 66 Simplify -5*(3 + (sqrt(2) - (sqrt(2) + sqrt(8))))**2 + 2 + -5. -88 + 60*sqrt(2) Simplify 1*(sqrt(448) + 1). 1 + 8*sqrt(7) Simplify 1*(sqrt(130) - -5*1*sqrt(130))/sqrt(10). 6*sqrt(13) Simplify sqrt(132)/(sqrt(48)/sqrt(4)) - (sqrt(1100)*-2 + sqrt(11)). 20*sqrt(11) Simplify (sqrt(160)*-3 + sqrt(10))/(-6*sqrt(5)*1). 11*sqrt(2)/6 Simplify (1 + sqrt(76))**2 - ((sqrt(114)*1 + sqrt(114))/sqrt(6) + sqrt(19)). sqrt(19) + 77 Simplify (6*((sqrt(68)*-2 - sqrt(68)) + sqrt(68))/sqrt(4))**2. 2448 Simplify ((sqrt(16)*2*-2)/(sqrt(1152) - sqrt(1152)*-1))**2. 1/18 Simplify 2 + (sqrt(567) + 3 + 1 - sqrt(567)). 6 Simplify sqrt(448) + sqrt(448)*-1 - (sqrt(7) - ((-1 + sqrt(28) - sqrt(28))**2 - sqrt(28))). -3*sqrt(7) + 1 Simplify (-2 + (sqrt(1300)*2)**2)*1 + 0. 5198 Simplify (sqrt(68) - (sqrt(68) + sqrt(68)*-1 + sqrt(68) + sqrt(68) + sqrt(68))*-2)/sqrt(4). 7*sqrt(17) Simplify (5 + sqrt(684)*-1 - (4 + sqrt(2299)*1))**2. -34*sqrt(19) + 5492 Simplify (-5 + sqrt(128))**2 + (sqrt(4)*5)/sqrt(2) + sqrt(2). -74*sqrt(2) + 153 Simplify sqrt(20)/(sqrt(44)/(sqrt(44)/sqrt(4))) - (sqrt(80) + -1 + (sqrt(245) - -1*sqrt(245))). -17*sqrt(5) + 1 Simplify -3*(sqrt(176) - (1 + (1*sqrt(176))**2)). -12*sqrt(11) + 531 Simplify (sqrt(85)/(1*sqrt(5)*1))**2. 17 Simplify 1 + (sqrt(304)*-2)**2 + sqrt(304) - (1*sqrt(304) + -2)**2. 20*sqrt(19) + 909 Simplify -2*(1*-1*sqrt(11) + 2)**2. -30 + 8*sqrt(11) Simplify 6*(sqrt(1573) + -2*sqrt(1573) + -5 + 0). -66*sqrt(13) - 30 Simplify (sqrt(931) + -2 + sqrt(19) + sqrt(114)/sqrt(6)*-2)**2. -24*sqrt(19) + 688 Simplify sqrt(19) + -1 + -1 - (sqrt(171) + sqrt(171) + (sqrt(171) - (sqrt(171) + -1 + sqrt(171)))**2). -174 + sqrt(19) Simplify (sqrt(425) + -1)*5. -5 + 25*sqrt(17) Simplify (sqrt(228) - (sqrt(228) - (sqrt(228) + (-4*sqrt(228) - sqrt(228) - sqrt(228)))*-6))/sqrt(12) + 3. 3 + 30*sqrt(19) Simplify (((sqrt(50) - sqrt(450)) + sqrt(50) - sqrt(50)) + -6*sqrt(2)*-2)**2. 8 Simplify (-4*(sqrt(136) - 3*sqrt(136)))/sqrt(8). 8*sqrt(17) Simplify (sqrt(275)/sqrt(5))/sqrt(11) - (sqrt(5) + (sqrt(90)/sqrt(2) + sqrt(45))/sqrt(9)). -2*sqrt(5) Simplify sqrt(34)/(sqrt(10)/sqrt(5) - sqrt(2) - sqrt(2)) - (sqrt(17) - sqrt(170)/(-1*sqrt(10)) - sqrt(17)). -2*sqrt(17) Simplify (sqrt(22)/sqrt(2) + 0)**2*-6. -66 Simplify 5*((2*sqrt(2112))/sqrt(11))**2*-4. -15360 Simplify sqrt(91)/(sqrt(42)/sqrt(6))*-3. -3*sqrt(13) Simplify (sqrt(275) + 0 + sqrt(275))**2 + 0 + sqrt(44)/sqrt(4) + 2. sqrt(11) + 1102 Simplify 1 + sqrt(320)*2. 1 + 16*sqrt(5) Simplify ((sqrt(77) + (sqrt(77) - sqrt(77)*2)*1)/(sqrt(132)/(2*sqrt(12))))**2. 0 Simplify sqrt(6)/sqrt(3) + -1 + sqrt(2) + (sqrt(200)*2)**2. 2*sqrt(2) + 799 Simplify (sqrt(84)/(sqrt(3)*2))/(sqrt(16)*4). sqrt(7)/16 Simplify 0 + sqrt(612) + 3 - sqrt(612). 3 Simplify ((sqrt(150)/sqrt(605))/sqrt(6))**2. 5/121 Simplify (sqrt(75)/sqrt(3))/sqrt(5) - (sqrt(20)/sqrt(4) + -3). 3 Simplify sqrt(288)/sqrt(9) + 6*(-5*sqrt(2))**2. 4*sqrt(2) + 300 Simplify (sqrt(12)/(sqrt(18)/sqrt(3)) - (0 + sqrt(18)))**2. 8 Simplify -5*2*(1 + sqrt(612))**2. -6130 - 120*sqrt(17) Simplify (((sqrt(88)*2 - sqrt(88) - sqrt(88))*-4 - sqrt(88))/(6*sqrt(32)))**2. 11/144 Simplify (3*sqrt(3) + sqrt(3))**2 + 1 - (sqrt(3) + sqrt(33)/sqrt(11) + 2 + sqrt(3))**2. -12*sqrt(3) + 18 Simplify (-3 + (5*(sqrt(20) + 1) - (-2*sqrt(20) + 5 - sqrt(20))))**2. -96*sqrt(5) + 1289 Simplify -1*sqrt(1584) + 2 + 4*(sqrt(1584) + -2*sqrt(1584)). -60*sqrt(11) + 2 Simplify (sqrt(77) - -5*2*sqrt(77))/(2*sqrt(7)*2). 11*sqrt(11)/4 Simplify sqrt(143)/((sqrt(77) - (sqrt(77) - (sqrt(77) + sqrt(77)*-2 + sqrt(77) + sqrt(77) + sqrt(77))))/sqrt(7)) + -3. -3 + sqrt(13)/2 Simplify ((5*(sqrt(102) - -3*sqrt(102)) + sqrt(102))/(sqrt(54)*3))**2. 833/9 Simplify (5*1*sqrt(24))/sqrt(8) + 4. 4 + 5*sqrt(3) Simplify (sqrt(187) + (-3*sqrt(187)*-1 - sqrt(187)))/sqrt(11). 3*sqrt(17) Simplify -5*(-5*(sqrt(1900)*-3 - sqrt(1900)) - sqrt(1900)). -950*sqrt(19) Simplify ((sqrt(300) - (sqrt(300) + sqrt(300) + 2))*-2 + sqrt(300) + (sqrt(300)*-2 + 0 - sqrt(300)))**2. 16 Simplify (sqrt(3) + sqrt(75)*4)**2 - ((((sqrt(36) - (sqrt(288)/sqrt(8) - sqrt(36))) + sqrt(36))/sqrt(12))**2 + sqrt(3) - sqrt(3) - sqrt(3)). sqrt(3) + 1311 Simplify -5 + (sqrt(171) + sqrt(171) + -1)**2. -12*sqrt(19) + 680 Simplify 1 + (sqrt(77) - (sqrt(77) + (-1*(sqrt(77) + 1*sqrt(77)) + sqrt(77) - sqrt(77))) - sqrt(77))/((sqrt(110) - -1*sqrt(110))/sqrt(10)). 1 + sqrt(7)/2 Simplify -2*((sqrt(500))**2 - sqrt(5))*5. -5000 + 10*sqrt(5) Simplify (-1*2*sqrt(500) + (sqrt(500) - sqrt(500)*-2*-3) + sqrt(500))**2. 18000 Simplify sqrt(40)/((sqrt(128) - sqrt(32))/sqrt(4)) - (sqrt(180) + 0 + sqrt(180) + sqrt(180) + sqrt(5) + -4). -18*sqrt(5) + 4 Simplify ((-1*sqrt(3840) - sqrt(3840)) + sqrt(3840))/sqrt(12). -8*sqrt(5) Simplify 5 + 3*(sqrt(57)/sqrt(3))**2 + 3. 65 Simplify (sqrt(315)/sqrt(7)*-6)/sqrt(9). -6*sqrt(5) Simplify (2*4*(0 + sqrt(5) - sqrt(5)) - sqrt(35)/(-2*sqrt(7))*6)**2. 45 Simplify (-5*(sqrt(187) + (sqrt(187)*-1 - sqrt(187) - sqrt(187))) + sqrt(187))/(sqrt(121)/(sqrt(44)/sqrt(4))). 11*sqrt(17) Simplify sqrt(24)/(sqrt(84)/sqrt(7)) + sqrt(2) + (5*(-5 +
{ "pile_set_name": "DM Mathematics" }
u be ((-48)/18)/(0 + -2). Let h = -5 - -8. Let r = -1 - h. What is the second biggest value in r, u, -1? -1 Let b = 5.5 - 5. Let y = -58 - -62. What is the biggest value in b, -5, y? y Let g = -45 + 53. Let r be (2/36)/(g/(-32)). Which is the second smallest value? (a) 4 (b) -0.4 (c) 3 (d) r d Suppose 0 = -6*f - 54 - 30. Let x = -6.3 + 6. What is the second smallest value in x, 1/7, f? x Let u be (124/6)/((-2)/(-21)). Suppose u - 37 = 6*y. Let t be (-6)/9 + 8/y. Which is the second biggest value? (a) t (b) -1 (c) -2/17 a Let s(y) = 7*y**3 + y - 1. Let p be s(1). Suppose p*q = 3*q. Suppose 4*t + 3*j + q*j = 11, 0 = 5*t + j. Which is the biggest value? (a) 0.4 (b) t (c) -3 a Suppose 0 = 7*k + 49. Let p(u) = u + 4. Let y(m) = 1. Let s(h) = -p(h) - 3*y(h). Let f be s(k). Which is the second smallest value? (a) 0.4 (b) 2 (c) f a Let z = -57/260 + 1/52. Let n = 16 + -15. What is the third smallest value in z, 4, n? 4 Let g = 0.04 + -0.14. Let m(c) = 2*c - 4. Let l be m(-4). Let t be 4/6 + (-4)/l. What is the third biggest value in t, -0.4, g? -0.4 Let a = 44 - 46.7. Let g = a + 2.9. What is the second smallest value in 0, 3, g? g Let u(q) = 2*q**2 + 3*q + 2. Let t be u(3). Suppose -4*z + 7 = -t. Let i be (-3)/((-84)/(-35)) + 2. What is the biggest value in z, i, -1/2? z Let s = 4.9787 - -0.0213. What is the fourth smallest value in s, -4/3, 2, -1? s Let v = 149 + -149. What is the smallest value in -1, v, -4, 3? -4 Let j = 0.47 - 1.37. Let p(d) = -d**3 - 5*d**2 - 8*d - 12. Let r be p(-4). What is the second biggest value in 2/3, j, r? 2/3 Let f = 32 - 34. Let j(d) = d**2 + d - 2. Let k = 3 + -5. Let p be j(k). What is the third smallest value in f, p, 1/2? 1/2 Let r be 14 + 3/(12/8). Let o = r + -33/2. What is the smallest value in -1, 0.2, o? -1 Let s = 0.27 + -2.67. Let c = s + -3.6. Let x = -3 - c. What is the biggest value in -1, x, 0.2? x Suppose -23 = -5*t - v - 2*v, v = -t + 5. Let i = -8.4 - -8.9. What is the second biggest value in -8/15, t, i? i Suppose 0*z + 2*z - 11 = r, -4*r + 4*z - 64 = 0. Let h be (-20)/2*(-8)/(-10). Let w be (-2)/h - r/(-36). Which is the smallest value? (a) 2 (b) -1/11 (c) w c Suppose 5*a = -4*l + 3*a + 12, -a = 0. What is the biggest value in -25, 0, l? l Let v = -17.89 - -18. Let n = v - 0.08. Let i = 4.97 + n. What is the third smallest value in 3, i, -0.3? i Let m = 8.3 + -7.3. Let g be (62/(-22) - -3) + 177/(-66). Which is the third biggest value? (a) m (b) g (c) -2 b Let z = -6.7 + 11.7. Let w = 34 - 34.2. What is the smallest value in z, w, 4? w Let k = 302 - 301. Let r be ((-6)/(-4) - 2)/(-2). Which is the third smallest value? (a) k (b) r (c) -3 a Let t = 7.23 + -8.23. Which is the smallest value? (a) -1/4 (b) t (c) -6 c Let v = -458 + 457.9. Which is the smallest value? (a) 2/9 (b) -1/63 (c) 1 (d) v d Let s = -0.227 + 0.027. What is the biggest value in -2/5, s, -0.5? s Let k be -5 - (-3 - -2) - 60/(-14). Which is the second biggest value? (a) k (b) -2 (c) -1 (d) 50 a Let w be ((-4)/(-6))/(7*1/(-3)). What is the second biggest value in 1, w, -14? w Let z = 15.8 + -16.3. Which is the second smallest value? (a) 4 (b) z (c) 5 (d) 2 d Let p = -3.89 + -0.11. Let l = p - 1. Let c be -2 - (-7)/14*36/10. What is the second biggest value in l, -8, c? l Let u = 390 - 389.6. Let l = 25/4 - 13/2. Which is the biggest value? (a) -7 (b) l (c) 3 (d) u c Let p = -5 - -4.8. Let k = -2.2 - 0.6. Let q = p + k. Which is the second smallest value? (a) q (b) -1/6 (c) -0.3 c Let t = -7.85 - -5.85. Which is the smallest value? (a) -0.5 (b) 7 (c) -0.2 (d) t d Let g(f) = -10*f**2 - 81*f + 5. Let t be g(-8). Which is the second biggest value? (a) -9 (b) t (c) 5 c Let t = 22 - 87/4. Let v(x) = x**3 + 28*x**2 + 25*x - 56. Let h be v(-27). Which is the third biggest value? (a) t (b) -5 (c) h b Suppose -25*r - 160 = 7*r. What is the fourth biggest value in r, -4, -1/3, -4/3? r Suppose 2*g - 250 = 4*u, 4*g - 76 = u + 8*g. Let x = u - -61. Which is the biggest value? (a) 3 (b) -12 (c) x (d) 3/4 a Let r = 1385.94 - 1413. Let g = -27 - r. What is the second biggest value in g, -0.1, -0.5? -0.1 Suppose -g + 16 = 3*u, -5*g + u = -0*g. Let h be (0*4/4)/g. Let o be (1 - 3)/(2 + h). Which is the third biggest value? (a) o (b) 2 (c) -3/8 a Let u = -6525 - -5911649/906. What is the third smallest value in u, -2, 4, -0.5? u Let u = -119 - -139. Let r = 102/5 - u. Which is the third smallest value? (a) -5/2 (b) r (c) -0.3 b Let g = 2.241 - 17.241. Which is the smallest value? (a) g (b) -4 (c) 10 a Let m be (-1)/(-15) - 9*(-4)/270. What is the biggest value in m, -2, -1.4, -0.5? m Let f = -1.88 + 1.43. What is the smallest value in 4/5, -2, f? -2 Let b = 30 + -29.5. Let o = 1 - b. Let f = 5 - 5.4. What is the biggest value in f, o, -0.3? o Let d = -167 - -166.5. Let k = -304 - -3342/11. Let o = 0.1 + -0.1. Which is the biggest value? (a) d (b) o (c) k b Let k = 56.099 - 0.299. Let m = k - 56. Which is the smallest value? (a) -0.5 (b) -0.9 (c) m b Let p = 453 - 455. Which is the third biggest value? (a) p (b) -3/14 (c) 5/12 a Let v = -116 + 175. Which is the biggest value? (a) -5 (b) -4 (c) v c Let m = 34 - 35. Let r = m + 6. Which is the biggest value? (a) r (b) 4/7 (c) -2 a Let f = -15 + 13. Let g = 0.06 - 8.06. Let k = g - -12. Which is the second biggest value? (a) f (b) k (c) -0.1 c Let d = -3/64 + 73/192. Which is the third smallest value? (a) 0.2 (b) d (c) 24 c Let p = 2/127 - -502/381. Let y be (3 - (0 + 1))*6/(-4). Let s = 2 - y. Which is the biggest value? (a) s (b) p (c) -3 a Let o = -2.6 + 5.8. Let j = o - 2.2. Which is the second smallest value? (a) -3/5 (b) 2 (c) j c Let m = -31.6 + 33. Let f = -2.4 + m. What is the second biggest value in f, -1/4, 2? -1/4 Let t be 363/605*5/(-12). What is the smallest value in 23, 0.03, t? t Let w = 415.05 - 415. Which is the third biggest value? (a) 3/4 (b) 1 (c) w (d) 5 a Let l = 158 + -127. Which is the second smallest value? (a) -1 (b) -2/5 (c) l b Suppose -2*k - 2 = -4. What is the smallest value in -0.32, 2/3, k, -5/2? -5/2 Let i(p) = -p**3 + 6*p**2 - 5*p + 2. Let q be i(5). Let s be (-715)/44*q/(-3). Let j = s + -25/2. What is the third smallest value in -5, j, 1/2? 1/2 Let j = -714 + 714.118. What is the second smallest value in j, 5, -4? j Suppose 0 = -3*s + 4 - 25. Let l = -0.12 - 7.88. Let p = -8.2 - l. Which is the third smallest value? (a) -2 (b) s (c) p c Let j = 157 + -142. Let p = 5 + 13. Let o = p - j. What is the third biggest value in -3, 4, o? -3 Let f = 22 - 20. Suppose -3*w = -3*g - 12, 4*w + w - 12 = 3*g. Which is the third smallest value? (a) f (b) g (c) 2/7 a Let d = -436 + 431.8. Which is the third biggest value? (a) -3 (b) d (c) 3 b Let w = -0.038 - -0.438. Let v = 0.6 + w. Let y = 5 - 5.3. What is the biggest value in y, v, -1? v Let i = -10.17 + 0.17. Let t = i - -7. Let d = -0.13 - 0.27. Which is the third smallest value? (a) t (b) d (c) -1/3 c Let u = 31.993 + 0.007. Let v = 31.99 - u. Which is the biggest value? (a) v (b) 1 (c) -3 b Let r be 13 - -17*(-21)/357. Suppose -13 = 3*w - 4. Which is the biggest value? (a) w (b) -4 (c) r c Let s = 4.9 + -4.92. Let m be 1 + (-4 - (1 + -3)). Let l be (m/5)/(6/(-15)). Which is the smallest value? (a) -3 (b) l (c) s a Let q = -260 + 261. What is the fourth biggest value in q, -0.2, -0.26, -5? -5 Suppose -k - 531 + 519 = 0. What is the second smallest value in 3.4, k, 5, 2? 2 Let a be 8/42*(-183)/(-488). What is the biggest value in -0.4, a, 0.2? 0.2 Let a = -0.7 - 0.3. Let o = 136 - 133. What is the third biggest value in 0.3, o, a, -1/7? -1/7 Let f = -7.13 - -9.13. Let s = 2 - 2.4. Let u = 0.2 + -5.2. What is the smallest value in f, u, s? u Let z be (2/3)/(22/6). Let g = 0.02 - 0.04. Let o = -0.146 + 3.146. Which is the second smallest value? (a) o (b) z (c) g b Let i = 6 + -11. Let c = -219 + 1091/5. What is the smallest value in i, c, -0.3? i Let w be 6/2 + (-3 - -1). Let a = 6231 + -6224. What is the third biggest value in w, 0, a? 0 Let o be (-5)/(3 - 12/6). Which is the third biggest value? (a) o (b) 48 (c) -1/2 a Let n = 0.0222 - -45.9778. What is the third biggest value in n, -2/9, -0.3, -0.1?
{ "pile_set_name": "DM Mathematics" }
-3 + (-6 + 0 - ((18 - 29) + 8)) - -8. 2 What is -73 + -9 - (-166 + 109)? -25 What is (0 - 99) + (-7510 - -7597)? -12 What is the value of (-2 - -28) + 53 + (-58 - -24)? 45 What is the value of -12 - (13 + -2 - (-34 + (-23 - -73)))? -7 What is the value of 66 + -5 + 6 - (33 - 11)? 45 What is -14 - (-42 - (-3 + 8 + 19 + -14))? 38 Calculate -19 + (1 - -5) + (15 - 9). -7 What is the value of 0 - (1 + (15 - -37))? -53 Calculate (-25 - 1) + 21 - (7 - (4 - -54)). 46 Evaluate -50 - -91 - (0 + 6) - 16. 19 (-117 - 1) + (46 - (-20 + 6 + 42)) -100 Evaluate -6 - (1 + 0 + (-12 - (24 + 10 + -22))). 17 Calculate (-1 - -56) + -48 + 42 + -30 + -5 + 39. 53 (5 - -8 - ((-14 - -24) + 2)) + 4 5 -3 - 56 - (106 + 80 + -157) -88 What is the value of -15 + 32 - 5 - (32 - (21 - 29))? -28 What is the value of -21 + (4 - (-14 - -5)) + (19 - 8) + 23? 26 -139 + (-43 - -72 - -15) -95 -7 + 1 - (44 + 36 + -26 + -39) -21 Evaluate (-1110 + 1159 - (46 - 1)) + -85. -81 (-1 + (5 - 8) - -4) + -89 + 151 62 (-87 - 43) + 8 + -26 + 2 -146 Calculate (80 - 170 - 15) + 99. -6 What is -2 + (7 - -52) - (23 - (-17 + 34))? 51 What is -407 + 411 + 39 + -2? 41 Calculate (20 - -32) + (-37 - 11). 4 Evaluate 39 + (-59 - -55) + -40. -5 Calculate 3 - 15 - ((-4 - -1) + -51 + 49). -7 What is -9 + (-60 + 55 - -16)? 2 Calculate 8 + 2 + (-16 - 6) + 2. -10 What is 19 - (-15 + -20 + 23 + 14)? 17 -3 + -2 + (184 - 127) 52 Calculate 66 - (124 + -80) - (1 - (-13 + 3)). 11 (-6 - -2) + (-4 - 3) + 6 + 61 - 9 47 Calculate 1 + (-12 - (8 + -31)) - 102. -90 Calculate 11 + 92 + -91 + (2 - -12). 26 (15 - (35 - 20)) + -14 + 1 -13 Evaluate -456 - -411 - (40 + 3). -88 What is the value of 181 + -91 + -5 + 8 - -17? 110 40 + -11 + -3 + -13 13 What is -58 + -64 + 152 + 7? 37 Calculate -1 + (2 - -1 - 1) + (14934 - 14949) + 29. 15 (1 - -5) + (-25 + -1 - -15) + -43 -48 What is (4 + (-12 - (1 - 0)) - (-36 - -39)) + -73? -85 Evaluate -129 + 31 + 12 + -57. -143 Evaluate 125 + (76 - (160 - -113)). -72 What is 13 + (2 - 23 - -10) - (11 + -1) - -66? 58 -1 - 34 - (28 + -21) - (24 - 32) -34 (1 - (-11 - -1)) + 31024 + -31047 -12 Evaluate 40 - (26 + -6 + -10 + (-5 - -11)). 24 Calculate -6 - -6 - (-13 + -13) - 97. -71 Evaluate 0 + -12 + -72 + 44 + (-1 - 11). -52 Evaluate -38 - (6 + 29 + -31). -42 Calculate -37 - (-10 - 7 - (-39 + 0)). -59 0 - -21 - (6 + 47) - 5 -37 What is the value of 0 + 6 + -6 + (-63 - -42)? -21 1 + 1 - (29 + -35 - 84) 92 Calculate 895 - 887 - (-13 + 2). 19 What is -20 + -57 + -15 - 8 - -12 - (-2 - -1)? -87 What is (-2 - (5 + 4)) + (80 - (31 + 1 + -17))? 54 Evaluate (-1 - -104) + (322 - 306) + (0 - 13 - 0). 106 What is -102 - -120 - -107 - 199? -74 Evaluate 20 - (-870 + 860 - (-22 + -1)). 7 What is 6 - -48 - 144 - -135? 45 -13 - -10 - (-31 + 6 + 19) - (71 - 4) -64 Evaluate -23 + (-2 + 19 - (-197 - -202)) - 1. -12 Evaluate 59 + (-20 - 21) + -65. -47 Calculate 10 + (-23 - (-26 - -17 - -13 - 7)). -10 Evaluate 11 + (0 - (9 - -11)) + -11 + 72. 52 Evaluate (-38 - 10) + 3 + 7. -38 What is the value of (-11 - -7) + 0 - (-2 - 4) - (100 + -132)? 34 What is the value of -9 + (-1 - -1 - 3) + 769 + -776? -19 Calculate (-30 - (31 - 56)) + 75 - 9. 61 -11 - (64 + -58 - -26) -43 2 + 1 + -4 + -1 + 15 - (373 + -352) -8 Calculate 1966 + -1953 - (-2 - (-39 - -2)). -22 What is -2 + (0 - -15) + (790 - 807)? -4 What is the value of (10 - 2) + (-21 - 1) - 5? -19 What is the value of (2586 - 2647) + (17 - 5) + 2? -47 What is the value of (0 - 15) + (23 - -53 - 67) - (0 + 32)? -38 What is -14 + (-15 - (-28 - -28))? -29 What is -5 - -49 - (0 + (-8 - -16 - 5) + -7)? 48 Evaluate -738 + 709 + (7 - -60) + -4. 34 Calculate 18 + 13 - (-87 - -107). 11 (-10 - (-14 - -7) - 5) + -9 + -2 + 4 -15 What is 5 - ((14 - 28) + 7) - -13? 25 What is the value of -192 + 94 + 96 - 104? -106 0 + -9 - (-30 - ((30 - 53) + 43)) 41 Calculate 82 + 1 + 39 + -30. 92 What is the value of 60 - (-153 + 219) - (0 + -2 + 39)? -43 Evaluate 9 - (110 + -57) - (8 + 16). -68 Calculate 49 - 12 - (-28 + 50). 15 Evaluate (1 - 50) + (-48 - -39) + -52 + 46. -64 4 - (24 - (7 - -4) - 10) 1 Calculate -94 + (4 - (3 + -1)) + (-713 + 502 - -207). -96 (17 - 5 - 33) + (109 - 54) 34 Calculate (8 - (144 + -10)) + (0 + 18 - 16). -124 What is 4 - (-106 + 106 - (0 + (-6 - -3) + -4))? -3 10 - (-13 + 0 + 6 + 48 + 19) -50 Calculate 12 + 4 + -167 + 84. -67 Evaluate (-1 - 0) + 10 + -15 + -13 + (-18 - -77). 40 2 + -1 + -5 + 1 - (88 + 80 - 178) 7 -2 + 43 + 82 + -66 + -18 39 Calculate (102 - (330 - 346)) + (-1 - -1 - 12). 106 What is the value of 253 + -223 + -21 + 1? 10 Evaluate 0 - -8 - (342 + -377 + 2 + 22). 19 Evaluate -25 + (-12 - (-35 + 7) - 14 - (5 - 5)). -23 What is -42 - (0 - 5 - (-34 + -26 + 50))? -47 What is 0 - 0 - (11 + -3) - (-31 - -58 - -24)? -59 42 - 18 - (23 + -8 - -18) -9 Calculate 4 + -1 + -2 + 1 + -5 + 474 + -468. 3 Evaluate (-12 - -19) + -39 - (-10 + 32 + -29). -25 -8 - (1658 + -1628 + 34 + -1) -71 Evaluate (-7 - (52 - 53) - (-53 - -2)) + -13 + 2. 34 What is the value of 44 - -1 - (-552 + 386 + 166)? 45 Calculate -429 - -439 - ((4 - 8) + 24). -10 Evaluate 2 + 104 + 437 + -548. -5 Evaluate 171 - (98 + -69 - -64). 78 Evaluate 58 + -98 + 94 + 4 + (7 + -5 - 21). 39 Evaluate -6 + -14 + 3 + 16 + (2 - 8). -7 What is -66 + (27 - ((3 - 0) + 8) - 5)? -55 Calculate 58 - (38 - (3 - -20)) - -11. 54 Evaluate 6 + (-3 - -4 - (-6 - -24)). -11 What is the value of 70 + 2 + -86 + 6? -8 Evaluate 108 + 0 + (-3098 - -3033). 43 6 - (125 + -76 + (1 - 0)) - -9 -35 What is the value of -1 + (13 - 9) - 15 - (-4 + -10)? 2 (-20 - (-10 + (20 - 10))) + -12 + -6 + -1 -39 Evaluate 0 - -4 - (-8 + -7) - -21. 40 (5 - 0) + (3162 - 3115 - (-1 + -18)) 71 What is (63 - -14) + -24 + 49 + (-1 - (1 - -2))? 98 (11 - -1) + -8 + 14 + 3 + 1 + -8 14 (-68 - -115) + -32 - 76 -61 Evaluate -1 + (-1 - -6) - -7 - (31 - 5). -15 Evaluate (-10 - (3 + (-17 - -4))) + 6 + 85. 91 What is 108 + (14 - 25) - 56? 41 Calculate -2 - -47 - (3203 - 3135). -23 What is the value of (-1 + -19 - (17 - 30) - -21) + -68? -54 What is 0 - 1 - ((4 - 18) + -18 + 26)? 5 What is the value of -2 - -3 - (-19 + 29) - (3 + -7)? -5 6 + -20 - ((7 - (-3 - 4)) + -162) 134 Calculate 293 - 316 - (-20 - 2). -1 What is (-1 - -1 - 0) + (11 - 8) + 1 - -15? 19 What is the value of (-53 - (29 + -42)) + 5 + -2 + -11? -48 What is 213 + -229 + (2 + -4 - -56)? 38 Evaluate -35 + (1 - (-10 + 8)) + -11 - 5. -48 Calculate (9 + -29 - -2) + (4 - -7) + -1. -8 Calculate ((2 - 3) + -3 - 48) + 0 + -31 + 43. -40 What is the value of 39 + (14 - ((6 - (10 + -6)) + 12))? 39 What is -36 + (26 - (-10 + 43 + -7))? -36 What is the value of -68 - 0 - (9 + (-18 + 0 - -2))? -61 What is the value of -41 - (73 - 55 - 100)? 41 What is the value of (5 - (10 + 19)) + 106 + -25? 57 Calculate 769 + -769 + (14 + 3 - -2). 19 What is the value of 0 + 29 + (-18 - (-31 + 23)) - (1 + -2)? 20 What is the value of -5 + -11 + -39 + (-8 - -22) + 2? -39 What is 28 - (27 - (-40 - -16)) - -96? 73 What is 32 + 8 + (-22 - -22)? 40 Calculate 35 + (-54 + 28 + -13 - -8). 4 2 - -13 - (36 + -31) 10 What is (463 - 459) + (2 + 1 - -16)? 23 Calculate (48 - 35) + 174 + -173. 14 Evaluate 2 + 3 + -5 + -15 - (-16 - (-90 + 135)). 46 Evaluate -480 - -485 - (-12 - 1) - 0. 18 What is the value of -20 - (-24 + 34 - 26) - (2 - 6)? 0 (115 - 148 - 26) + -6 -65 What is the value of (7 - 45 - -163) + -24 + 5? 106 Evaluate -101 - -35 - -39 - -22 - 54. -59 Evaluate 12 + (-29 - -22) + (-3 - 8). -6 What is the value of 3 + (-10 - -7) + 3 + -8 + (20 - 8)? 7 Evaluate (27 + -5 + -3 - 10) + 9. 18 Calculate (-165 + 180 - (-17 - -2)) + -13. 17 What is the value of (16 + 6 - 13) + 3 + 88 - 21? 79 What is the value of 1 + 0 - 2 - (7 + (-13 - -8) + -14)? 11 Calculate (9 + -18 - 9) + -11 - -3. -26 Calculate 22 + (-127 - (-34 - 93) - (-101 + -1)). 124 -126 + 99 + -96 - -45 -78 Calculate 50 - (-32 - (-20 - -30)). 92 What is 19 + 52 + 268 + -272? 67 Calculate (13 + 24 + 14 + 0 - (5 + -2)) + -3. 45 Calculate (-1 - 1 - 13) + 18 + -64 + 48 + 55. 42 Evaluate -9 - 11 - -38 - (-49 + 8 + -3). 62 Evaluate -1 - -46 - (2 - -7 - 8) - (-511 + 509). 46 Evaluate (1 - 5) + -19 + 26 + 15 + -14. 4 What is the value of 3 + -20 + (1 - (5 - (-2 - -9))) + 131? 117 Evaluate 1 + 25 + -37 + (6 - -14) - -21. 30 5 + -37 + 60 + 12 40 Evaluate (1 - (0 + -6)) + (159 - (-129 + 337)). -42 Calcula
{ "pile_set_name": "DM Mathematics" }
5*h**2 - 6*h - 5. Let q be l(6). Give b(q). -5 Let i(h) = 2*h**2 + 2*h + 3. Let z = -86 + 87. Suppose -z - 2 = 4*t + 5*o, 0 = -5*t + o - 11. Determine i(t). 7 Suppose 0 = q + 4*q - 4*b - 73, -4*q - 2*b = -48. Suppose n - 2*r = -r + 5, 0 = 2*n + r - q. Suppose 7 = h + n*h. Let g(v) = 11*v**2 + 1. Determine g(h). 12 Let q(l) = -5*l**3 + 22*l**2 - 17*l + 3. Let k(x) = -2*x**3 + 8*x**2 - 6*x + 1. Let u(y) = -11*k(y) + 4*q(y). Give u(-2). -11 Let d(m) = -9*m**2 + 1. Suppose -2*v - 36 = -6*v. Suppose -5*j = -v*j - 8. Let f = j + 1. Determine d(f). -8 Let j(t) = -t**2 - 4*t + 7. Suppose -2 = -2*s + 2*u, s + u = -0*s + 3. Let p be 2*(1 + s) - 2. Suppose 0 = 4*z - 0*z + p*a, -2*z - 5 = a. Determine j(z). 2 Let u(s) = 2*s**2 - 4*s. Let j(a) = -a - 8. Let k be 264/(-18) - 2/(-3). Let y be j(k). Suppose 3*p = -5*o + y, -2*p - 3 = -3*o - 4*p. Calculate u(o). 6 Let u(i) = 45*i - 105. Let w(h) = 8*h - 21. Let z(v) = 2*u(v) - 11*w(v). What is z(-9)? 3 Let p(k) = -k**2 + 68*k + 454. Let i be p(-6). Let c(y) = 2*y - 8. Determine c(i). 12 Let f(t) = -7*t - 1. Suppose 5*m + j = 10, 5 + 12 = 2*m + 3*j. Calculate f(m). -8 Let a(p) = 20*p - 165. Let u be a(8). Let j(w) = 3*w**2 + 4*w**2 - 2 - 6*w**2 + 4*w. Give j(u). 3 Let u(r) be the first derivative of -r**3/3 + 13*r**2/2 + 2*r + 256. What is u(6)? 44 Suppose 0 = -4*o + 9*o - 20. Suppose -5*b = 2*x + 22, -o*b - 17 = -b + 5*x. Let q = -1 + b. Let r(u) = -u**3 - 5*u**2 + 2*u + 1. Determine r(q). -9 Let u(z) = z**3 - 16*z**2 - z + 11. Let p be u(16). Let t(o) = -6*o - 28. Let s be t(p). Let f(g) = g**2 + 3*g - 3. Give f(s). 7 Suppose 0 = 2*y - q + 4, 22*q = y + 18*q + 9. Let l(k) = 16*k + 2. What is l(y)? -14 Let s(k) = k**2 + 4*k - 2. Let r be s(1). Let w(u) = -5*u**3 + 4*u**r - 192*u - 6*u**2 + 193*u - 5. Let p(q) = -q**2 - 6*q - 6. Let y be p(-6). Give w(y). -11 Suppose -9 = f - 2*z, 2*z + 3*z - 15 = 0. Let g(p) be the first derivative of 3*p + 3/2*p**2 + 3. Give g(f). -6 Let z(m) be the second derivative of 1/20*m**5 + 19*m + 7/6*m**3 + 0 - 3*m**2 - 1/2*m**4. Give z(5). 4 Let i(a) = 6*a**2 + 42*a + 3. Let r be i(-7). Suppose 0*z + 4*g - 12 = 4*z, -31 = 5*z + r*g. Let t(j) = -j**2 - 3*j + 7. Determine t(z). -3 Let l(a) = -5*a + 3 + a**3 - a**2 - 8*a + 21*a - 9*a. What is l(2)? 5 Let k be 18/(-63) - (32/28)/(-4). Let b(f) be the second derivative of f**5/20 - 2*f**2 - 2*f. Determine b(k). -4 Suppose r + 362 - 363 = 0. Let b(d) be the first derivative of 3/2*d**2 + r + 1/4*d**4 + 2*d**3 + 7*d. Give b(-5). 17 Let t(z) be the third derivative of -5/6*z**3 + 1/4*z**4 + 0*z + 9*z**2 + 0. Let a(h) = -3*h**3 + 1. Let p be a(-1). Determine t(p). 19 Let q(j) = -j**2 + 9*j - 7. Suppose -y + 2 - 18 = 2*i, -4*y = -3*i - 2. Let x be (28/i)/((-3)/(54/12)). Calculate q(x). 7 Let s(i) = -7*i - 1. Suppose -116 + 114 = -2*d. What is s(d)? -8 Let p(r) = -7*r. Let d be (-5 - (-7)/(-1)) + 10. What is p(d)? 14 Let i(n) = -n**2 + 2. Let t be (4/(-14) + 720/70)*1. Suppose -t*v = -3*v + 14. Determine i(v). -2 Let k(q) = q**2 + q + 1. Let b(o) = -4*o**2 + 6*o + 6. Let m(d) = -b(d) - 5*k(d). Calculate m(-8). 13 Suppose 2*a - 6 = -2*v, 4*v - 11 = -a + 1. Let q(z) = 4*z + 2. Let i be q(4). Let y(h) = 33*h - i*h + 4 - 16*h. What is y(v)? 1 Let z(i) = -5*i**3 + 2*i**2 - 8*i + 5. Let c(g) = -g**3 - g**2 - g. Let n(j) = -4*c(j) + z(j). Calculate n(4). 21 Let v(q) be the third derivative of q**6/180 + q**5/20 - 5*q**4/8 - 5*q**2. Let a(z) be the second derivative of v(z). Give a(-5). -14 Let k(u) = u - 1. Let s(t) = -t**3 + 8*t**2 + 8*t + 6. Suppose -19 + 6 = 4*n + 3*x, -3*n - 2*x = 9. Let y be (9/4)/(n/(-4)). Let f be s(y). Give k(f). -4 Let g(i) be the third derivative of -1/120*i**6 + 0 + 0*i - 1/2*i**3 - 1/6*i**4 - 1/15*i**5 + 7*i**2. Let c = 6 - 8. Calculate g(c). -3 Suppose o - 3 = -0, -3 = 2*t - 3*o. Suppose 5*m - 44 = -2*f + 2, -t*f + 25 = 2*m. Let h(z) = z**2 - 9*z + 10. Calculate h(m). 2 Let g(s) = -2*s**2 - 20*s - 11. Let k be g(-9). Let y(o) = -o**3 + 8*o**2 - 6*o - 10. Determine y(k). -3 Let l = 3 + 0. Let k(m) = -4*m**2 - 5*m - 2. Let d(x) = 3*x**2 + 5*x + 1. Let b(s) = -5*d(s) - 4*k(s). Determine b(l). -3 Let x = -91 + 87. Let a be (-500)/80 - 1/x. Let j(r) = -r**3 - 6*r**2. Determine j(a). 0 Let b(t) be the second derivative of t**4/12 + 7*t**3/6 - 3*t**2/2 - 66*t. Give b(-5). -13 Let u = -1488 + 1482. Let m(k) = 5*k + 29. Determine m(u). -1 Let u = -44 - -46. Let n(q) = 2*q + 11*q**u - 9*q**2 - 1 + 0. Let l be (7 - 2)*(-2)/5. Give n(l). 3 Let s(c) = 2*c**2 + 3*c - 3. Let x(r) = -30*r - 126. Let n(j) = 6*j + 25. Let l(u) = 21*n(u) + 4*x(u). Let o be l(-4). Determine s(o). 6 Let n = -16 - -21. Let b(c) = c**3 - 6*c**2 + 5*c + 4. Let q be b(n). Suppose -16 + q = -3*z. Let k(u) = -u**2 + 4*u + 3. Give k(z). 3 Suppose 4*k + d = -1 + 2, 5*d = -k + 24. Let v be (1/(-1) + 1)/k. Let c(i) = 7*i + 1. Let n(u) = -3*u - 1. Let r(j) = -4*c(j) - 9*n(j). What is r(v)? 5 Let t(c) = -2*c**2 + 6*c + 5. Let u(y) = -1 - 30*y**2 + 7 + 27*y**2 + 7*y. Let q(b) = 6*t(b) - 5*u(b). Give q(-1). 2 Let v(i) = -i**3 + 8*i**2 - 6*i - 10. Let q(r) = r**2 + 23*r - 9. Let w be q(-24). Suppose k - 2*o - 5 = 0, -w = -2*k - 3*o + 2*o. Determine v(k). -3 Let l(x) be the third derivative of -x**6/120 + x**5/5 - 5*x**4/12 - x**3/6 - 77*x**2 + 2*x. Give l(11). 10 Let y(x) = 32*x + 4 - 43*x + 12*x. Let t = -5 - -2. Let h be y(t). Let q(i) = -i**2. What is q(h)? -1 Let z(v) = v**3 - v**2 + v - 1. Let d(t) = -4*t**3 - 3*t**2 + t + 5. Let g(w) = d(w) + 5*z(w). Determine g(7). -7 Let u(p) = 8*p**2 - 2*p + 7. Let r(i) = -7*i**2 + 2*i - 6. Let n(x) = 4*r(x) + 3*u(x). What is n(2)? -15 Suppose -3*x - 2 = 2*k, 3 = 3*x - k + 2. Let y(u) = 2*u**3 + u + 1 + x*u**3 + 7*u**3. What is y(-1)? -9 Let a(o) be the second derivative of -o**5/20 + 5*o**4/12 + o**3 - 13*o**2 + 161*o. Calculate a(5). 4 Let u = 75 - 56. Suppose 4*s - u = -3. Let h(k) = -6 - k + 1 + 3*k. Give h(s). 3 Let f(u) be the second derivative of -u**4/12 + u**3/2 + 2*u**2 + 75*u. Determine f(3). 4 Let c(b) = -b**3 - 5*b**2 - 6. Suppose r - 8 = -3*r. Suppose -17*f - 2 = -18*f. Suppose 8 = -r*d - f. Give c(d). -6 Let b(c) be the third derivative of -5*c**4/24 - 5*c**3/6 + 2*c**2 - 67*c. Let o(j) = j**2 - 9*j - 16. Let y be o(10). Calculate b(y). 25 Let w be (-105)/24 + (-165)/(-440). Let f(t) = -t**3 + t. Let r(g) = 5*g**3 - 3*g**2 - 5*g. Let c(h) = 6*f(h) + r(h). Determine c(w). 12 Let s = 413 - 411. Let u(o) = -4*o**2 + 9*o. What is u(s)? 2 Let f(a) = 16 + 7*a - 4*a + 6*a - 11. Determine f(5). 50 Let b(g) = g - 12. Let o be (-6 - -16) + -12 - 2/(-1). Give b(o). -12 Let o(h) = -2*h**3 + h**2 - 4. Let f be 0 - -3 - 0/(-8). Let n(c) = -c**3 - c**2. Let y(r) = f*n(r) - o(r). What is y(-3)? -5 Let k(n) = -10*n**2 - 271*n - 30. Let l be k(-27). Let s(o) = 3*o + 5. What is s(l)? -4 Let h(g) = 7 - 6 + 0*g - 3 - 2*g + 3*g. Determine h(-6). -8 Let o(j) = 23*j + 99. Let w(b) = 16*b + 67. Let d(n) = 7*o(n) - 10*w(n). Give d(-18). 5 Let r = 5 - 2. Suppose -19 = -r*k + 4*x, -3*x - 22 = -2*k + 2*x. Let u(w) = 4*w - 20*w + 8*w. Calculate u(k). -8 Let l(z) be the first derivative of -6 - 1/2*z**2 + 4*z. What is l(5)? -1 Let g(y) = -y**3 - 7*y**2 + 4. Let s be ((-4)/1)/(2/3 + 0). Determine g(s). -32 Let g(p) = -p + 9. Suppose 9*r + 132 = 3*r. Let m(k) = -k**2 - 20*k + 52. Let l be m(r). What is g(l)? 1 Let a(u) = -u**2 + u - 1. Let r(v) = -10*v**2 - 3*v - 4. Let m(q) = 6*a(q) - r(q). Let d(s) = 9*s**2 + 19*s - 5. Let l(w) = 2*d(w) - 5*m(w). What is l(-5)? -15 Let b(n) = 7*n - 70. Let u be b(11). Let f(s) = s**3 + 11*s**2 - 13*s - 16. Let d(g) = g**3 + 10*g**2 - 12*g - 14. Let o(l) = u*d(l) - 6*f(l). Determine o(-5). 3 Let d(o) be the second derivative of 7*o**3/6 - 9*o**2/2 - o - 222. What is d(-5)? -44 Let j be 1/(4/66)*2. Suppose -93 = 4*y - j. Let d(a) = a**3 + 14*a**2 - 14*a + 21. Let p be d(y). Let c(m) = m**2 - 6*m - 6. Determine c(p). -6 Let h = -283 - -187. Let p be 4/18 - h/54. Let f(y) = 3*y**2 - 2*y**2 + 1 - 4*y**2 + 2*y. What is f(p)? -7 Let w(i) = 2*i + 1. Let l(d) = 5*d - 4. Let v(f) = -4*f + 3. Let c(h) = 5*l(h) + 6*v(h). Let x be c(9). Suppose -4*u - 4 = 0, -2*u = -5*q - x*u + 20. Give w(q). 11 Let k(m) be the second derivative of m**5/20 + 7*m**4/12 + 2*m**3 + 5*m**2/2 - 4*m + 12. Determine k(-6). -31 Let o(t) = -t**2
{ "pile_set_name": "DM Mathematics" }
-221.918 or 83? -221.918 Which is smaller: -6/7 or 0.0347175? -6/7 Which is smaller: 467/1043602 or 0? 0 Which is smaller: 0.1 or -894693515? -894693515 Is -162 at most as big as -64.784? True Are -2712826 and -127502892/47 equal? False Which is smaller: 6932715 or 0.1? 0.1 Which is smaller: -832 or -748? -832 Does 0.122976293 = 1/3? False Are 12/37 and 10865 equal? False Are 14331657/37 and 387343 unequal? True Is 447256 at most as big as 447248? False Which is smaller: 2994766 or 49? 49 Is -442/2486435 equal to 0? False Is 408140 greater than or equal to -693? True Is -652119 less than -652169? False Is -609464765 != 1? True Which is greater: -91598 or -91726? -91598 Is -940 >= 3542? False Do -0.38 and -426830 have different values? True Which is greater: -82 or 1016841? 1016841 Does 2206240 = 2206238? False Are -241189296 and -241189296 non-equal? False Does 77 = 4/14151? False Is 0 greater than 89/2339452? False Is -849/254 < -294? False Which is smaller: -122840 or -122942? -122942 Which is bigger: 1335292 or 1335314? 1335314 Is 155014 not equal to 155012? True Is 382709 at least as big as 382619? True Is -156/50429 not equal to 1? True Which is smaller: 701/12 or 14312? 701/12 Is 24219103 smaller than 24219104? True Is 1 at least as big as -1/15193837? True Which is smaller: 1121316 or 1/3? 1/3 Is -507/981545 greater than or equal to -1? True Which is greater: -932762/1957 or -477? -932762/1957 Which is bigger: -1 or 18/40511659? 18/40511659 Which is bigger: 45583 or 42561? 45583 Which is greater: 64055 or 64489? 64489 Which is greater: -595719/394 or -1512? -595719/394 Does 4044 = 3237? False Is 124491943 not equal to 373475833/3? True Is -245868 != 55? True Is -163470443 less than or equal to -163470442? True Is 2045.2 >= -4706? True Which is smaller: -4463204 or 1? -4463204 Which is greater: 350570 or 348877? 350570 Which is smaller: -2/508345 or 1? -2/508345 Which is bigger: 18323986 or 18323987? 18323987 Is 88827264 greater than or equal to 88827264? True Is -265/9097 at most as big as -1? False Is -7878015 at most as big as -7878009? True Is 392/873181 smaller than 1? True Do 232285671 and 232285672 have the same value? False Are 975.4088 and -1/6 non-equal? True Is 2989131 greater than or equal to 2989132? False Which is smaller: -1341/237457 or 1? -1341/237457 Is -6440/42929 smaller than 0? True Which is bigger: 5597087/3 or 1865697? 1865697 Is -5232 smaller than -2258? True Are 831377982 and 831377982 nonequal? False Which is smaller: -93/13 or 106/7? -93/13 Is -15068 < -14858? True Is 224968 < 225009? True Which is smaller: -1/4 or 55/28541? -1/4 Which is bigger: 1970/32427 or 1? 1 Do -1 and 40/1078749 have the same value? False Which is smaller: 1215504/19 or 63974? 1215504/19 Which is smaller: -3/94507 or -1/15? -1/15 Are -27619316 and -27619317 non-equal? True Is -144/2210977 at least 1? False Which is greater: 4188 or 669899/160? 4188 Which is bigger: 5131 or 1018? 5131 Is -108124/1051 at least as big as -103? True Is 27 less than or equal to 88943/3122? True Is 531 > 315353/593? False Is 3827 at least as big as 4138? False Which is smaller: -2027/1335 or -3? -3 Is -197/80996 <= -1? False Which is greater: 4303256/47 or 91558? 4303256/47 Is 188.155 not equal to 73? True Are 89 and -85138 nonequal? True Are -4197015/7 and -599573 equal? False Is 9397982 not equal to 9397983? True Which is greater: 2468 or -66.62? 2468 Is 5215477 < -1? False Is 0.021755 > 6/5? False Which is smaller: 1/2 or 41.9139334? 1/2 Which is greater: -13216760 or -13216768? -13216760 Is -6 at least -38071/6499? False Which is greater: 92954 or -2/2261? 92954 Which is smaller: 125738619 or 0? 0 Which is smaller: 314040/7 or -5.63? -5.63 Do 7.2 and -2257472 have the same value? False Which is smaller: 67/3 or -107575.72? -107575.72 Which is smaller: 1.1 or 3922310/13? 1.1 Which is bigger: 645443 or 645434? 645443 Is -1722960 greater than -1722964? True Which is greater: -952 or 322152? 322152 Is 0.1 bigger than 4645.8904? False Which is smaller: 0 or -27/24216596? -27/24216596 Is 39308143/9 not equal to 4367572? True Is 168603 greater than 171069? False Are -1090661 and -16359904/15 non-equal? True Is -1 not equal to 669553/17? True Which is smaller: 0 or -2/391843? -2/391843 Is 266610 equal to -1.7? False Which is bigger: 3 or 15266/6007? 3 Is -206026/13771 at most as big as 1? True Which is smaller: 7788/4429 or 2? 7788/4429 Is -18539 <= -15809? True Is -229047270 equal to -1603330893/7? False Which is greater: 8987 or 50026? 50026 Which is bigger: -882432 or -882431? -882431 Is 0 >= 1725/156598? False Is 18563 equal to 10430? False Which is smaller: -1 or -3/7704805? -1 Is 6182060 bigger than 6182078? False Which is greater: 31309 or 31157? 31309 Are 222023 and 222074 equal? False Is -1470 equal to -29442? False Is 12/17 > -45309? True Which is greater: 0.072 or 25248/5? 25248/5 Is 5012.06 less than -4/43? False Which is greater: 1 or -69/38504? 1 Is -1/4 at least as big as 32782997? False Which is smaller: 0 or 248/1105043? 0 Which is bigger: -16/45 or -29827? -16/45 Which is smaller: -32993 or -33015? -33015 Is -37727244 greater than or equal to -37727248? True Is -22389/26 < -0.13? True Is -0.23549581 at least as big as 14? False Is -12254779/15 < -816985? True Which is greater: 1711.2 or 12084? 12084 Are -1589576 and -1589576 unequal? False Are 569582 and 569590 equal? False Is -288 at least -342475/1188? True Is 974/149707 < 1? True Are 2695453 and 2695479 nonequal? True Which is smaller: -1129/32317 or 0? -1129/32317 Is 9263198/69 bigger than 134249? True Which is smaller: -104086421 or -208172841/2? -104086421 Which is bigger: 49754 or 41280? 49754 Is -14598473 < -14598413? True Which is smaller: -197/9222486 or 0? -197/9222486 Which is greater: 7 or 6153493? 6153493 Which is greater: -4/5807 or -173? -4/5807 Does -2/7 = 873812? False Which is greater: 1797431 or 1797429? 1797431 Is -1/22 at least -8447.583? True Is -9365075 <= -9365106? False Which is smaller: 437291 or 437289? 437289 Which is smaller: -714955 or -714961? -714961 Is -0.046 bigger than -15/26326? False Which is greater: 16520 or 19572? 19572 Are -441637 and -45488568/103 equal? False Is 144791 not equal to 144807? True Is 49138/15 greater than or equal to 216? True Is -147 at least as big as -417493? True Which is smaller: -1 or -133/827354? -1 Which is smaller: -17952 or 788? -17952 Is -7121309 at least -7121312? True Which is bigger: -11104/20419 or -1? -11104/20419 Which is greater: 396314 or 62? 396314 Which is bigger: 729810/7 or 3/2? 729810/7 Which is smaller: 1555337 or 1555531? 1555337 Is 71/30 bigger than -26/37? True Which is bigger: -48882056 or 3/2? 3/2 Is 4/7 smaller than 166975? True Are 41443.025 and 0.1 equal? False Which is bigger: -1 or -1462/26051? -1462/26051 Which is bigger: -3794020 or -56910286/15? -56910286/15 Is -0.07124 at most as big as 1706? True Which is bigger: -4969391 or -4969389? -4969389 Which is bigger: -393824 or -393885? -393824 Is -0.2 != 28266194? True Is 2/75757231 at most as big as 1? True Is 4862650 greater than -7? True Which is bigger: 3342580 or 3342584? 3342584 Are 8/4491931 and 0 equal? False Which is bigger: -209837 or -0.14? -0.14 Which is smaller: -1096 or -673814/615? -1096 Which is smaller: -2.5031 or 3.07? -2.5031 Is 21938 <= 473? False Is -1/2 at most as big as -6420074/727? False Which is bigger: -10261 or -10476? -10261 Is -14646 <= -14785? False Which is smaller: 5.5 or 2605365? 5.5 Is -89664587 > -89664589? True Which is bigger: -100197 or -101027? -100197 Which is bigger: 8030640/31 or 259053? 259053 Which is smaller: -58/2539109 or 0? -58/2539109 Which is smaller: -1600917171 or -1/4? -1600917171 Is 19298144 equal to 19298146? False Is 15957203 greater than 15957203? False Is 18 at most as big as 284219? True Which is greater: 0.73 or -0.0202292? 0.73 Which is bigger: 0.54 or 266977? 266977 Is -145852556 bigger than -145852554? False Is 206827 greater than 209071? False Is -6409534 less than or equal to -6409510? True Which is smaller: -4/36419637 or 1? -4/36419637 Is -1/3 < 391783062? True Is -75959 at most -75654? True Is 3304/473693 equal to 0? False Which is smaller: -16/20765 or 1? -16/20765 Which is bigger:
{ "pile_set_name": "DM Mathematics" }
137006744800*k/3 + 763687220815664000/3 = 0. What is k? -66940, -1273 Factor -2*z**3/5 - 87552*z**2 - 875514*z/5 - 437756/5. -2*(z + 1)**2*(z + 218878)/5 What is q in -2*q**3 + 1675608*q**2 = 0? 0, 837804 Determine r, given that -3*r**5/5 + 915*r**4 + 320958*r**3/5 + 6376074*r**2/5 + 29022789*r/5 + 4592619 = 0. -31, -5, -1, 1593 What is k in 8*k**2 + 437770*k - 109443 = 0? -109443/2, 1/4 Suppose 77*p**4/2 + 25227*p**3/2 + 7754*p**2 - 30714*p + 7848 = 0. Calculate p. -327, -2, 2/7, 12/11 Factor i**2/4 - 2735617*i/4 + 4103421/2. (i - 2735614)*(i - 3)/4 Factor 2*r**3/3 + 1463402*r**2/3 + 8780250*r + 39510882. 2*(r + 9)**2*(r + 731683)/3 Factor 2*s**3/13 + 30*s**2/13 - 13682*s/13 + 1050. 2*(s - 75)*(s - 1)*(s + 91)/13 Suppose -2*s**5/9 - 226*s**4/9 - 110*s**3 + 146330*s**2/9 + 148192*s/9 - 97768/3 = 0. What is s? -101, -33, -2, 1, 22 Determine r so that -r**4/7 + 3279*r**3/7 - 97527*r**2/7 + 185221*r/7 - 12996 = 0. 1, 28, 3249 Determine b, given that b**3 + 311211*b**2 - 933640*b + 622428 = 0. -311214, 1, 2 Find x, given that 2*x**3/7 - 40370*x**2/7 + 28890802*x + 2139872798 = 0. -73, 10129 Suppose -7343496*g**3 - 4896060*g**2 - 816208*g - 44 = 0. Calculate g. -1/3, -11/203986 Factor -5*j**2/3 + 7042685*j/3. -5*j*(j - 1408537)/3 Factor 2*j**3/15 - 182*j**2 + 366618*j/5 - 138257126/15. 2*(j - 763)*(j - 301)**2/15 Factor -219786578*o**3/7 - 223686254*o**2/7 - 3916974*o/7 - 17298/7. -2*(o + 1)*(10483*o + 93)**2/7 Solve 4*q**2 - 10118*q - 76110 = 0. -15/2, 2537 Suppose -2*g**4/7 + 1474946*g**3/7 - 362578108800*g**2/7 + 29710375390306304*g/7 - 29710012813672448/7 = 0. Calculate g. 1, 245824 Factor -2*y**3 - 9108*y**2 - 10637298*y - 605881080. -2*(y + 60)*(y + 2247)**2 Suppose 2*o**2 - 25036*o + 100112 = 0. What is o? 4, 12514 Suppose 2*d**5/3 + 28*d**4 + 992*d**3/3 + 1472*d**2 + 6656*d/3 = 0. Calculate d. -26, -8, -4, 0 Determine w so that 128*w**5/3 - 1884*w**4 - 262398*w**3 + 40770386*w**2/3 - 15447424*w + 4359096 = 0. -81, 1/2, 21/32, 62 Let -3*f**3/2 + 77115*f**2/2 - 10736877*f/2 - 10813995/2 = 0. Calculate f. -1, 141, 25565 Determine r, given that -2*r**4/3 + 157*r**3 + 117926*r**2/3 + 767887*r + 374136 = 0. -136, -21, -1/2, 393 Factor 3*m**2/2 + 13437*m/2 + 423840. 3*(m + 64)*(m + 4415)/2 Find b, given that -12*b**3 + 379048*b**2/3 - 993407488*b/3 - 22937009024/3 = 0. -206/9, 5276 Suppose 2211*w**3/2 - 14829*w**2/2 + 23025*w/2 - 10407/2 = 0. What is w? 1, 3469/737 Solve 2*k**4/9 + 105924*k**3 + 37869365816*k**2/3 + 1590349398064*k/9 + 908758010944/3 = 0 for k. -238322, -12, -2 Find v such that -v**3/6 - 2735*v**2/6 + 1430279*v/3 + 11529496/3 = 0. -3541, -8, 814 Factor -2*q**2/5 - 1794*q/5 + 736236/5. -2*(q - 306)*(q + 1203)/5 Factor -2*c**4 + 2394364*c**3 - 716679832994*c**2 + 34396494633312*c - 412741386419328. -2*(c - 598567)**2*(c - 24)**2 Factor p**3 + 115060*p**2 + 3312920228*p + 185162880224. (p + 56)*(p + 57502)**2 Solve -p**4/2 + 75*p**3 - 1953*p**2/2 - 4822*p - 5130 = 0 for p. -2, 19, 135 Solve -10*o**3/7 - 28054*o**2/7 - 1631360*o/7 - 648056/7 = 0 for o. -2746, -59, -2/5 Solve j**2 - 53234*j + 98671053 = 0. 1923, 51311 What is i in -3*i**2/2 - 53562087*i - 956299054598523/2 = 0? -17854029 Factor 4*i**2 - 18866492*i - 56599512. 4*(i - 4716626)*(i + 3) Solve x**5/9 - 3440*x**4/3 - 2*x**3 + 185792*x**2/9 - 36695*x + 17200 = 0 for x. -5, 1, 3, 10320 Solve m**3/2 - 5865632*m**2 + 17202819379712*m = 0. 0, 5865632 Factor -5*o**2 - 4466290*o - 17865080. -5*(o + 4)*(o + 893254) Factor 44*q**3 - 365120*q**2 + 66384*q. 4*q*(q - 8298)*(11*q - 2) Solve -2*r**2/3 - 98900180*r/3 - 1222655700504050/3 = 0. -24725045 Let 1191*b**4/4 + 25017*b**3/2 + 411399*b**2/4 - 629004*b - 6348 = 0. What is b? -23, -4/397, 4 Determine n so that 6683580*n**5 + 51302305*n**4 + 188988500*n**3/3 - 75014800*n**2/3 + 4459760*n/3 - 80 = 0. -6, -2, 2/37131, 2/27, 1/4 Find z such that -2*z**3/11 - 149274*z**2/11 - 2089542*z/11 - 7313054/11 = 0. -74623, -7 Find u, given that -12*u**3/7 - 106516*u**2/7 - 18612288*u/7 + 12455536/7 = 0. -8698, -179, 2/3 Solve 31*a**4/4 + 91631*a**3/2 + 271365875*a**2/4 + 383600606*a - 130803135 = 0. -2953, -6, 10/31 Find l, given that -l**2/9 - 72601214*l/9 - 1317734068568449/9 = 0. -36300607 Factor -3*q**2 + 10161411*q. -3*q*(q - 3387137) Factor 13654*a**2/7 + 5866*a + 300/7. 2*(a + 3)*(6827*a + 50)/7 Factor -3*x**3 + 4617*x**2 + 223488*x + 218868. -3*(x - 1586)*(x + 1)*(x + 46) Solve g**5/2 - 559*g**4/2 + 72639*g**3/2 + 1529231*g**2/2 + 4137902*g + 5512386 = 0 for g. -11, -6, -2, 289 Factor 2*k**3/11 - 139490*k**2/11 + 2436013950*k/11 - 12141740250. 2*(k - 34845)**2*(k - 55)/11 Suppose 4*c**4 + 4672*c**3 + 23272*c**2 + 13920*c - 41868 = 0. What is c? -1163, -3, 1 Let 234604*n**3 + 2815254*n**2 + 8445816*n + 216 = 0. Calculate n. -6, -3/117302 Factor d**3 - 2543*d**2 - 1334949*d - 160349805. (d - 3005)*(d + 231)**2 Solve -20*n**4 + 24888*n**3 + 623628*n**2 + 914048*n - 466992 = 0. -23, -2, 2/5, 1269 Solve 2*p**3 - 9308*p**2 - 869032*p - 20085072 = 0 for p. -46, 4746 Factor h**3/5 + 3641*h**2/5 - 236177*h/5 + 698763. (h - 41)*(h - 23)*(h + 3705)/5 Suppose r**2/3 + 142*r/3 - 728 = 0. Calculate r. -156, 14 Solve -3*a**5/8 + 99*a**4/4 + 1269*a**3/8 - 14028*a**2 - 57807*a/2 + 112266 = 0. -22, -4, 2, 27, 63 Suppose -w**5/7 - 2213*w**4/7 - 1268688*w**3/7 - 48872484*w**2/7 - 274297536*w/7 + 679332096 = 0. Calculate w. -1086, -24, 7 Factor w**2 - 1131773*w + 5658840. (w - 1131768)*(w - 5) Determine y, given that 2*y**5 - 1278*y**4 - 15656*y**3 + 20448*y**2 + 249984*y = 0. -12, -4, 0, 4, 651 Let -3*w**5 + 573*w**4 + 73092*w**3 + 471468*w**2 - 1239840*w = 0. What is w? -82, -9, 0, 2, 280 Suppose 52*g**5/9 - 1722*g**4 + 868580*g**3/9 + 94121248*g**2/9 - 2549343368*g/3 + 294015722/9 = 0. What is g? -79, 1/26, 91, 143 What is p in 5*p**4 + 30830*p**3 + 57444400*p**2 + 28729322530*p - 86705800005 = 0? -2683, -803, 3 Let 4*g**2/5 + 16746372*g/5 - 33492824 = 0. Calculate g. -4186603, 10 Find w, given that 3*w**4 - 486*w**3 - 162081*w**2 - 7884540*w + 53243244 = 0. -93, 6, 342 Suppose 20*b**4/11 + 6938*b**3/11 + 10154*b**2 + 50656*b/11 - 4920 = 0. What is b? -330, -82/5, -1, 1/2 Find u, given that 3*u**4 + 2382018*u**3 + 472807943103*u**2 - 10402639436772*u + 57216102179148 = 0. -397014, 11 Find q, given that 2*q**3 + 349716*q**2 + 15282762882*q - 428191581944 = 0. -87443, 28 Factor 5*r**2 - 1035865*r - 29008140. 5*(r - 207201)*(r + 28) Factor 3*u**2/7 - 527658*u/7 - 226143. 3*(u - 175889)*(u + 3)/7 Find j such that -2*j**4/3 - 596*j**3/3 - 44944*j**2/3 - 73408*j/3 + 350464 = 0. -148, -6, 4 Find w such that -w**2/6 + 854477*w - 2190392830587/2 = 0. 2563431 Determine a, given that -4*a**4 + 5940*a**3 + 668408*a**2 + 9840096*a - 22401280 = 0. -88, -20, 2, 1591 Factor l**3/4 - 19*l**2/2 - 133293*l/4 - 199755/2. (l - 386)*(l + 3)*(l + 345)/4 Find j, given that 10*j**2 - 77748*j - 326718 = 0. -21/5, 7779 Determine u, given that -21*u**5/5 + 43779*u**4/5 + 1479654*u**3/5 + 1754868*u**2/5 - 2464968*u/5 - 813312/5 = 0. -32, -2, -2/7, 1, 2118 Suppose 4*g**3/3 - 1400*g**2/3 + 75244*g/3 + 137240 = 0. Calculate g. -5, 73, 282 Solve -5*t**5 + 191940*t**4 - 1343360*t**3 + 959490*t**2 + 1343365*t - 1151430 = 0. -1, 1, 6, 38381 Factor -2*c**2/5 + 9626*c + 6826092/5. -2*(c - 24206)*(c + 141)/5 Let 2*k**2/9 + 1002232*k/9 - 445440 = 0. What is k? -501120, 4 Factor n**2 - 207112*n - 207113. (n - 207113)*(n + 1) Factor -22817*k**4/7 - 29981540*k**3/7 - 13131916272*k**2/7 - 1917260543088*k/7 - 168055344/7. -(k + 438)**3*(22817*k + 2)/7 Factor 3*k**4/2 - 116538*k**3 + 3018295305*k**2 - 26067000545850*k + 364642294639875/2. 3*(k - 25895)**3*(k - 7)/2 Let -2*k**2 + 391234*k - 8606180 = 0. Calculate k. 22, 195595 Factor -2*p**2/5 - 328713892*p/5 - 13506602849223458/5. -2*(p + 82178473)**2/5 Factor -6145441*p**3/5 - 65233861173*p**2/5 - 52629171*p/5 - 2123. -(p + 10615)*(2479*p + 1)**2/5 Find n, given that -6627*n**4/8 + 8541639*n**3/4 - 11009445723*n**2/8 = 0. 0, 60579/47 Let 2*m**5/3 - 20*m**4/3 - 38*m**3/3 + 464*m**2/3 + 152*m - 288 = 0. What is m? -4, -2, 1, 6, 9 Determine y, given that 2*y**3/9 + 2372*y**2/9 + 85514*y/3 + 83148 = 0. -1066, -117, -3 Suppose -s**4 - 112903*s**3 + 338751*s**2 + 3725863*s - 3951710 = 0. What is s? -112906, -5, 1, 7 Determine v, given that 2128*v**3/11
{ "pile_set_name": "DM Mathematics" }
. What is the highest common factor of y and a? 14 Suppose -3*d - 10 = -3*o - 2*o, 0 = d - 2*o + 4. Let f = d + 5. What is the greatest common factor of 10 and f? 5 Let x = 34 + -23. Calculate the highest common factor of 88 and x. 11 Let w(h) = -4*h + 1. Let a be w(-1). Suppose -r + a*r + 3*z = 486, 0 = 4*r + 5*z - 490. Let m be (4/10)/(3/r). What is the highest common factor of 112 and m? 16 Let d(m) = -m**3 - m**2 + 3*m + 7. Let o be d(-3). What is the highest common divisor of 8 and o? 8 Let u be (7/(-2) + -1)/(105/(-140)). Let l = 9 - 6. Suppose l*s + 36 = 7*s. What is the highest common factor of s and u? 3 Let n(m) = 3*m**2 - 8*m. Suppose 18 = 3*l - 0. Let o be n(l). Calculate the highest common divisor of o and 15. 15 Let n(u) = 17*u + 8. Suppose 0*w = 4*w - 16. Suppose -5*v - w*q - 3 = -23, -4*q = v + 12. Let z be n(v). What is the highest common factor of 18 and z? 18 Suppose -3*o + 150 = 2*l, -2*l - o = -3*l + 75. Calculate the greatest common factor of 30 and l. 15 Let h(b) = 7*b - 1. Let k be h(1). Let r = 8 - 0. Let l be 386/r - (-1)/(-4). Calculate the highest common divisor of l and k. 6 Suppose 5*o = 2*c - 291, 5*c = o - 297 + 1013. Calculate the highest common factor of c and 13. 13 Suppose 7 + 4 = -v. Let i = v + 17. Calculate the greatest common factor of 1 and i. 1 Let x be 4/(-22) + 2/(88/756). What is the greatest common divisor of 17 and x? 17 Let r(o) = -o**3 - 12*o**2 - 2*o - 8. Let x be r(-13). Calculate the highest common divisor of x and 17. 17 Let z(x) = 3*x**3 + 2*x**2 - x. Suppose d + 14 = 5*f, -f - 4 = -d - 2*f. Let g be z(d). Calculate the greatest common factor of 32 and g. 4 Suppose 4*v - 50 = 998. Let c be v/12 - (-7)/42. Suppose 458 = 3*n - 4*w, 150 = -n + 2*n - 4*w. What is the greatest common factor of n and c? 22 Suppose -2*w + 36 = 4*w. Suppose -39 - 9 = -4*t. What is the greatest common factor of t and w? 6 Let i(a) = -a**2 - 23*a - 30. Let c be i(-17). Calculate the highest common divisor of c and 8. 8 Let s be (6/2)/(39/26). Suppose -48 = -4*t + 2*q, -3*q - 16 = t - 3*t. Calculate the greatest common factor of s and t. 2 Suppose 33 = -2*u - 127. Let y be (-1)/5 + u/(-25). Calculate the highest common factor of 27 and y. 3 Let c be 152/11 + 2/11. Let l = 52 - -18. Calculate the highest common divisor of l and c. 14 Let n = 96 - 0. Suppose 3*s + 2*s = -60. Let p be 20/(-2)*s/10. What is the greatest common divisor of p and n? 12 Let g be 1792/304 + 4/38. Let s(z) = -z - 4. Let m be s(-3). Let b be 30 + -1 + m + 2. Calculate the highest common factor of b and g. 6 Suppose -4*w + 64 = 4*p, -3*p = -p + 5*w - 38. Let d(h) = -2*h**2 + 2*h. Let k be d(3). Let q = k - -26. Calculate the greatest common factor of q and p. 14 Suppose 0*g = 5*g + 10. Let c be (-2)/(1/(67/g)). Suppose 0 = -w + 5*n + 19, w - c = -4*w - 3*n. Calculate the highest common divisor of w and 21. 7 Suppose f = -0*f + 5*g - 11, 2*g - 6 = 2*f. Let u be 0/((2/1)/f). Suppose u = -2*t + 130 + 30. Calculate the highest common divisor of t and 20. 20 Suppose 0 = 4*z + 9 - 17. Calculate the greatest common divisor of z and 2. 2 Suppose -3*d = 4*j + 92, 4*j - d - d + 112 = 0. Let c = -17 - j. Suppose 11 = k - 5*x, 56 = k + 4*x - 0*x. What is the highest common divisor of c and k? 9 Let d(x) = x**2 + 2*x. Let h be d(-3). What is the greatest common factor of h and 2? 1 Let t be ((-18)/2)/(3/(-27)). Let d = -1 + 3. Suppose -d*m = -4*w - w + 37, w + m - 13 = 0. Calculate the greatest common factor of t and w. 9 Let y(d) = d + 22. Let m be y(-17). What is the highest common divisor of 5 and m? 5 Suppose 3*u - 290 = -u - 2*m, 0 = 5*u + m - 361. What is the greatest common factor of 8 and u? 8 Let w = 21 + -15. Let v(x) = -x**3 + 6*x**2 + 5. Let r be v(w). What is the highest common divisor of 5 and r? 5 Suppose 2*o = 5*r + 71 - 437, 0 = -4*r + o + 291. Calculate the highest common factor of 18 and r. 18 Let s = -4 - -8. Let g be 24/(-16)*8/(-3). Calculate the greatest common factor of s and g. 4 Let h(t) = -t**2 + 4*t + 3. Let s be h(-6). Let f = s + 102. Let y = 10 + -1. Calculate the greatest common divisor of y and f. 9 Let y = -7 - -70. Let f = y + -27. Calculate the highest common divisor of 24 and f. 12 Suppose 5*c - 5*a = 25, -3*a + 2*a = 3. Suppose 7*q - 2*q - 3*r = 9, q - 3*r + 3 = 0. Suppose c*j - 9 + q = 0. Calculate the greatest common factor of j and 24. 3 Suppose -5*y - m + 1 = -23, -3*m - 18 = -3*y. Suppose o - 77 = 4*c, -3*o + 263 = -c + y*c. What is the greatest common factor of 17 and o? 17 Suppose -4*v = -5*a - v + 15, -5*a + v = -5. Suppose 3*f + a*f = -24. Let b(o) = -16*o - 7. Let x be b(f). What is the highest common divisor of 11 and x? 11 Suppose 4*n = 58 + 74. Let h = 34 + -5. Let o be h/9 - 6/27. Calculate the greatest common divisor of o and n. 3 Let n = -17 + -14. Let a = n - -50. What is the highest common divisor of a and 57? 19 Let p be (-1)/(2/(-40)) - -3. Calculate the highest common divisor of p and 138. 23 Let u(k) be the second derivative of 0 - k - 1/6*k**3 + k**2. Let p be u(-6). Calculate the highest common factor of 56 and p. 8 Suppose -20*d + 176 = -44. What is the greatest common divisor of 2 and d? 1 Suppose 3*r - 3*u = 7*r - 243, 0 = -5*u + 25. Calculate the greatest common factor of 19 and r. 19 Let m(b) = -b**2 - b + 4. Let g be m(0). Let x be (2/(-3))/(g/(-90)). Calculate the highest common divisor of 3 and x. 3 Suppose -a - 1 = -3*o + 4*o, -4*o - 3*a - 5 = 0. Let r be 9/((-2)/4 - o). What is the highest common factor of 54 and r? 6 Let a be 5/(-5)*(2 - 2). Let p be 44/4 + a + -1. What is the highest common divisor of 80 and p? 10 Suppose -3*y - y + 44 = 0. Let x = -14 - -36. What is the highest common divisor of y and x? 11 Suppose -4*m - 13 = -1. Let t be -3*(4/m)/4. Let l be 18/3 + t + 2. What is the greatest common factor of l and 81? 9 Let o(f) be the second derivative of 3*f**4/2 + 3*f. Let i be o(2). What is the greatest common factor of 18 and i? 18 Suppose 5*a + 3*g = 9*a - 1548, 372 = a + 3*g. Calculate the highest common factor of 12 and a. 12 Suppose -60 = -2*d - d. Calculate the highest common factor of d and 5. 5 Suppose -5*t + 641 - 71 = 5*z, 0 = 3*z - 4*t - 328. What is the greatest common divisor of z and 14? 14 Suppose 3*l = 11*l - 256. What is the highest common divisor of 16 and l? 16 Suppose 0 = 3*i + 16 - 121. Calculate the greatest common factor of 7 and i. 7 Suppose g - 16 + 12 = -w, 4*w = 2*g - 38. Let p be 106/3 + (-4)/(-6). Calculate the greatest common divisor of g and p. 9 Suppose 0 = 4*a - 16, 3*k - 5*a - 13 = -3. Let c = k - 5. Let i(o) = 2*o + 21. Let y be i(-8). Calculate the highest common divisor of y and c. 5 Suppose -92 = -3*j - 4*t, 3*j + 4*t = 5*t + 112. Calculate the highest common divisor of j and 18. 18 Suppose 5*z = z + 12. Let b(p) = -2*p**z + 2*p**3 - 5*p**2 + 3 + p**3 + p. Let r be b(5). Calculate the greatest common factor of 32 and r. 8 Let d(g) = -g**2 - 11*g + 2. Let v be d(-9). Calculate the highest common factor of 80 and v. 20 Let k = -89 + 153. Suppose -2*l + k = 2*l. What is the highest common factor of l and 40? 8 Let s(w) = -2*w + 7. Let i be s(-3). Suppose 191 = -2*x - 227. Let g be x/(-2) + 1/(-2). What is the highest common divisor of g and i? 13 Let m be 9/(-15) + 286/10. What is the greatest common divisor of m and 4? 4 Let x be (1 - 37/(-2))*8/3. Suppose 0 = -p - 2*p + 39. What is the highest common divisor of x and p? 13 Let p(m) = m. Let r be p(-1). Let z be 24*r*2/(-4). Calculate the highest common divisor of z and 4. 4 Suppose -4*o = -7*o + 9. Let z = 9 + -6. Suppose z*l + 96 = 5*b, -5*b - 5*l = -47 - 33. Calculate the greatest common factor of b and o. 3 Suppose -44 + 11 = -3*v. Calculate the greatest common divisor of 1 and v. 1 Suppose -3*r = -161 - 109. What is the greatest common divisor of r and 36? 18 Let a = 8 - -2. Calculate the highest common factor of 20 and a. 10 Let o(y) = 0*y**3 + 3 + 12*y + 0*y**3 - 1 - y**3 - 11*y**2. Let g be o(-12). Let d be (g*10)/(9 - 8). What is the greatest common divisor of 8 and d? 4 Let u(x) = 2*x. Let s be u(1). Let z = 39 - 59. Let w be (-4)/(-10) - 272/z. Calculate the highest common divisor of s and w. 2 Let f be (-14)/8*(-92)/1. What is the highest common divisor of f and 23? 23 Suppose
{ "pile_set_name": "DM Mathematics" }