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2/14 + 22/(-77). Let d = 61 - c. What is the fourth biggest value in 0, d, 4, -1/4? d Let o be (-2)/3*(-3)/(-5). Let z = 2585 - 1957.5. Let l = z + -627. Which is the second biggest value? (a) o (b) -1 (c) -0.1 (d) l c Suppose -104*i = 794 - 1002. Let w = 0.01 - -2.99. Let h = -2.8 + w. What is the third biggest value in 2.9, i, h, -2? h Suppose -3*r = -2*n - 8*r + 45, -39 = -2*n + r. Suppose n = -360*v + 355*v. What is the fourth smallest value in 4, -5, 0.31, v? 4 Suppose 21*v + 18 = 19*v - 4*i, -5*i + 36 = -2*v. Let g be (-15)/(-27)*(-8)/20. Which is the second biggest value? (a) v (b) 3 (c) g c Let r(t) = -t + 125. Let z be r(-43). Let f be 784/z*(-6)/(-4). What is the biggest value in -4, 1/2, 1, f? f Let k = 561.544 - 0.544. Let z = 560 - k. What is the second smallest value in -5/2, 0, z? z Let u = 0.172 + 2.828. Let m = -165/7 + 1369/56. Let h = m - 5/8. Which is the biggest value? (a) 1 (b) u (c) h (d) 0 b Suppose 4*v + 1 = 3*v + 2*p, 3*v + p = -17. Which is the smallest value? (a) v (b) -2/41 (c) 118 a Let f = -0.00702 - -0.74702. Which is the smallest value? (a) f (b) -0.2 (c) -1/4 c Suppose -17*g = -2888 - 2. Let m = g + -175. What is the third biggest value in 0.3, 3, -19, m? m Suppose 455*p - 450*p + 3*u - 680 = 0, 4*p - 2*u - 566 = 0. What is the third biggest value in -0.15, -1/6, p? -1/6 Let g be 399/(266/(-14)) + 23. What is the fourth biggest value in g, 2/15, -1/11, -2159? -2159 Let b = -445/3 + 307/2. Let a = 11/2 - b. What is the biggest value in a, -7, 4? 4 Let n = 0.34 - 1.34. Let m = 119.1 - 119.1. Which is the fourth smallest value? (a) m (b) -74 (c) 3 (d) n c Let w = 3925.6 - 3926. Which is the fourth smallest value? (a) 1 (b) 5 (c) -6 (d) -62 (e) w a Let o = 310/3 - 102. Let s = -396 + 11089/28. Let z = 0.936 + 3.064. Which is the biggest value? (a) z (b) 5 (c) o (d) s b Let t = 0.2151 + -0.6151. What is the second smallest value in 3, -0.5, t, -0.0627? t Let z(s) = s**2 - 3*s + 4. Let m be z(3). Let d = -202.147 - -0.147. Let g = -207 - d. Which is the smallest value? (a) m (b) g (c) -5/4 b Let j be ((-49)/(-25) + -2)/((-5)/(-25)). Let l = -9.1 - 1.9. Let a = -21 - l. What is the second smallest value in j, 3, a? j Let q = -6 - -4. Let s be (-20)/((-25600)/(-1088)) + (-5)/(-4). Which is the second biggest value? (a) q (b) s (c) 1 (d) 12 c Let r = 2028.426 + -2032. Let k = r + -0.426. What is the third smallest value in k, 1/6, -2/15? 1/6 Let t = -7160 + 7160.1. Let q = -3.07 + 14.33. Let j = 0.26 - q. Which is the smallest value? (a) j (b) -5 (c) t a Let r = 1.83 - -0.17. Let p = -60.887 - -61. Let v = -0.093 + p. Which is the second biggest value? (a) v (b) r (c) 6 (d) 0 b Let j = -4812 - -4810. Which is the fourth smallest value? (a) 4 (b) -0.2 (c) j (d) -9 (e) 3 e Suppose -92*x + 83*x - 1116 = 0. Let j = 126 + x. What is the second smallest value in -86/7, j, 0.2? 0.2 Let z be (-1)/2 + 2/1. Let m = 150 + -146. Which is the third smallest value? (a) 34 (b) z (c) m (d) 2 c Suppose -3*q - 5 = -0*q - 2*x, 4*q - 5*x = 5. Which is the second smallest value? (a) -0.2 (b) q (c) -3 c Let l = 0.1 + -2.1. Let g = 552 + -480. Let c be 381/189 - 2 - 32/g. What is the fourth smallest value in -0.4, l, c, 1? 1 Let q be (-69)/(-4) - (1 + 14/(-8)). Let p be 8/q + (-783)/1215. What is the second biggest value in p, -0.16, -1/3, -3? p Let g be 10822/(-22) + 5/385*-7. Let q = g + 356. Which is the third biggest value? (a) q (b) -1/2 (c) -0.2 a Let h = 5115.8 - 5116. What is the fourth smallest value in -2/11, -52, 3/5, h? 3/5 Let i = -266.21 + 264. Let n = i - -2.2. Let s = -1.3 + 5.3. Which is the biggest value? (a) n (b) 5 (c) s b Let l = 2.227 + -5.227. Which is the third biggest value? (a) 1/5 (b) -1 (c) 0.3 (d) l (e) -0.5 e Let x = 16.31 - 2.41. Let q = x + -13.5. Which is the biggest value? (a) q (b) -2/9 (c) 4 c Let w be (-4)/5*12*85/4488. Let u = 120 + -183. Let d = 379/6 + u. Which is the third smallest value? (a) -1/3 (b) w (c) d c Let l = -18.14 - -18. Let u = 5.84 - 286.84. Let g = u - -276. Which is the biggest value? (a) g (b) -1 (c) l c Suppose -10*l = -7*l + 1125. Let u = 376 + l. What is the third smallest value in -3, 45, u? 45 Let i = 6.3 + -1.3. Let p = -543 - -177. Let q = -367 - p. Which is the second smallest value? (a) i (b) -4 (c) -5 (d) q b Let o be 4/(8/(-938)) - -6. Let q = o - -463. Let i = 6 - 1. Which is the second smallest value? (a) i (b) -2 (c) -2/3 (d) q c Let h = 309 - 524. Let n = -213 - h. Which is the fourth smallest value? (a) 5 (b) 0.06 (c) -0.2 (d) n a Suppose 5*t + 13 - 8 = 5*i, 0 = -4*t + i + 2. Let u = 73 + -69. Which is the third smallest value? (a) u (b) -0.5 (c) t (d) -3 c Let h = -3.065 + -0.135. Let c = -2.7 - h. What is the second biggest value in 1, 4, c, -1? 1 Let f = 0.0406 - 0.0693. Let j = 3.0287 + f. What is the fourth biggest value in -4, 0.16, j, 0.3? -4 Let q be ((-91260)/1235 - -74) + 96/(-190). Let k = 3 - 1. Which is the smallest value? (a) q (b) 0 (c) k (d) -0.2 a Let u = -1 - -4. Suppose 4*x + 5*p - 48 = 0, -17 - 31 = -4*x + 2*p. Let z be (-3)/x + (11/(-2))/11. Which is the smallest value? (a) -2/93 (b) z (c) u b Let b = 22491 - 22490.5. What is the second smallest value in -1, b, -4, 970/21, 2/19? -1 Let m = 168 + -200. Let x = 37 + m. What is the fourth smallest value in 1/2, 3/7, -2/7, x? x Let p(f) = 11*f + 5. Let q be p(9). Let t = q - 104. Let z be (1 + 2/(0 - 1))*t. Which is the third biggest value? (a) z (b) -3/5 (c) 3 (d) -2 b Let b(r) = -20*r - 14. Let v(c) = -9*c - 7. Let m(k) = -3*b(k) + 7*v(k). Let x be m(-4). What is the smallest value in x, 1/5, -5/4, -15? -15 Let x = 0.4 + -0.3. Let p = -0.1 + 0.1. Let u = 0.11179 + -0.10179. Which is the second biggest value? (a) u (b) x (c) p a Let o = 4355.3 + -4355. What is the fifth smallest value in 20, -1/2, -5, o, 0.1? 20 Let r = 111.1 - 111. Let j = -0.3 + r. What is the biggest value in j, -2, 2/7, 1? 1 Let m = 0.00121 + 0.59879. Which is the fourth biggest value? (a) m (b) -0.3 (c) 1 (d) -16 d Let s = -546 + 234. Let j = s + 317. Which is the third smallest value? (a) j (b) 0.039 (c) -2 a Let f be -24 - (0 + 51/(-2)). Let y be 2/(-12)*-3*6. What is the fourth biggest value in 11, -4, f, y? -4 Let a = 0.049 - 0.049. What is the biggest value in -0.1, -10, a, -2? a Let u = -180.9 + 2449.9. Let y = 2268.003 - u. Let g = y + -0.003. Which is the biggest value? (a) g (b) 1/4 (c) -5 b Let l be ((-15)/6)/((-95)/(-38)). Which is the third biggest value? (a) -0.3 (b) 1/150 (c) l c Let v = -4.5 - -5. Let l = -51 + 175. Let i = l - 123.7. What is the fourth smallest value in 1, v, 2/7, i? 1 Let v = 76 - 73. Let w be (-2)/(-6) - ((-98)/21)/(-14). Which is the third smallest value? (a) w (b) -0.3 (c) v (d) 1 d Let g(l) = -l + 5. Let j be g(6). Let m = -91 + 91.5. Which is the biggest value? (a) m (b) j (c) 0.38 a Let s be 125/50*(-7 - -5). Which is the biggest value? (a) -4/5 (b) -1/5 (c) s (d) 2 (e) -4 d Let u = 16389.1 + -16389.2. Suppose i + 12 = 2*i. Let r = i + -8. Which is the second biggest value? (a) 6 (b) 0 (c) r (d) u c Let t = 79/5 + -301/20. Let f = -5.025 - -4.825. Which is the second smallest value? (a) -4 (b) f (c) 17 (d) t b Let g be (-2)/4 + (-3)/6. Let s = -22.7 - -27.7. What is the biggest value in -5, g, s, 1? s Let n = 373.455 + 0.545. Let r = -373.6 + n. What is the second smallest value in r, 0.1, 3, 2? r Let v = -168.62 + 169.12. Which is the fifth biggest value? (a) -1/4 (b) 873 (c) v (d) 0 (e) 2/5 a Let m be -4 - (-14)/3 - 2/12. Let v be (8/12)/(2/9). Which is the fourth smallest value? (a) 2/11 (b) m (c) -1/8 (d) v d Suppose w - 3*g = -6, -g - 11 = w + 3*w. Let c be (48/9 - 1) + w. What is the third biggest value in c, -0.4, 1/5, -0.9? -0.4 Suppose 3*x + 12 = 3*l, 0 = 3*x - 57*l + 61*l + 12. Let m = 10 - 8. Let d be ((4 - 2)/m)/(-3). What is the smallest value in d, x, -1/8, 2/11? x Let u(q) = -q**3 - q**2 + 4*q - 3. Let j be u(-3). Let r be j/(-18)*(-5 - -7). Let w = -1.8 - -1.4. What is the third biggest value in r, -3, w? -3 Let s = 3.92 - 0.92. Let v be 2/(4/6*-1). Let j = -1150.4 + 1150. Which is the smallest value? (a) j (b) v (c) s (
{ "pile_set_name": "DM Mathematics" }
9*x - x**2 - 4 - 263*x + 6. Let y(w) = -4*w**2 - w - 1. Calculate 6*s(f) - 6*y(f). 18*f**2 Let n(t) = t**3 - 2*t**2 - 9*t + 4. Let p be n(5). Let m(o) = 374*o**3 - 34*o - 34. Let w(l) = 34*l**3 - 3*l - 3. Calculate p*w(f) - 3*m(f). 34*f**3 Let b(y) = 2*y**3 - 14. Let c(i) = 117*i**2 - 111*i. Let z be c(1). Let o(p) = -4*p**3 + 29. Give z*o(g) + 13*b(g). 2*g**3 - 8 Let o(d) = 2*d**2 - 3. Let n = 498 + -499. Let u(c) = -84 + 42 + 0*c**2 + c**2 + 41. Determine n*o(r) + 4*u(r). 2*r**2 - 1 Let k(g) = -g**2 + 201*g + 179. Let y(s) = -67*s - 50. Determine 2*k(l) + 7*y(l). -2*l**2 - 67*l + 8 Let p(k) = 113*k + 412. Let q(l) = -97*l - 413. Calculate -6*p(j) - 7*q(j). j + 419 Let l(x) = -x - 614. Let p(v) = -v - 607. Calculate 5*l(a) - 4*p(a). -a - 642 Suppose 44*h - 39*h - 20 = 0. Let a(f) = 4*f**2 - 7*f - 8. Let o(l) = 3*l**2 - 2 - 3 + 0 + 29*l - 2 - 35*l. Calculate h*a(j) - 5*o(j). j**2 + 2*j + 3 Let k(u) = 3*u**2 + 62*u. Let b(t) = 3*t**2 + 58*t. Calculate -4*b(f) + 3*k(f). -3*f**2 - 46*f Let d(z) = z**2 - 1. Let s be 35/((-16100)/(-40)) - 42/(-46). Let r(l) = -2*l**3 + 10*l**2 - 2*l - 2. What is s*r(j) - 2*d(j)? -2*j**3 + 8*j**2 - 2*j Let f(y) = -937*y**3 - 2*y**2 + 12*y + 16. Let o(q) = 937*q**3 + 2*q**2 - 15*q - 20. Calculate -5*f(w) - 4*o(w). 937*w**3 + 2*w**2 Let a(p) = -p**3 + 5*p - 39. Let g(y) = -73*y + 5. Let r(j) = 12*j - 1. Let q(l) = -g(l) - 6*r(l). What is a(w) - 5*q(w)? -w**3 - 44 Let i(d) = -4*d + 2. Suppose 20*a - 43 = 37. Let w(x) = -5 + 4*x - 5 + 1 + 5*x + a. What is -5*i(y) - 2*w(y)? 2*y Let a(x) = -1 + 0*x - 3*x + 4 + x**2. Let t = -57423 - -57424. Let m(z) = z**2 + 1. Determine t*a(q) - 3*m(q). -2*q**2 - 3*q Let u(o) = -35*o + 61*o - 28*o - 8. Suppose 4*q = -0*q + 24. Let c(x) be the third derivative of x**4/12 + 3*x**3/2 + 21*x**2 - 2*x. Determine q*u(g) + 5*c(g). -2*g - 3 Let s be (33/(-6))/((-7)/28). Let w be s + (2 - (3 + -4)) + -2. Let a(d) = -2 - 2 + w*d - 5 - 10*d. Let h(z) = 6*z - 4. Calculate 4*a(r) - 9*h(r). -2*r Let x(v) = 163*v - 63*v - 65*v - 36*v + 1. Let j(h) = 3. What is -j(w) - 2*x(w)? 2*w - 5 Let v be 3286/(-636) + 1/(-2) + 4/6. Let c(p) = 28*p**3 - 4*p**2 + 4*p + 4. Let r(u) = -27*u**3 + 5*u**2 - 5*u - 5. Give v*c(t) - 4*r(t). -32*t**3 Let k(g) = -591*g + 52. Let w(l) = -592*l + 61. Calculate 7*k(y) - 6*w(y). -585*y - 2 Let j(o) = 1532*o**3 - 10*o**2 + 2*o + 35. Let t(w) = 510*w**3 - 3*w**2 + w + 10. Determine -2*j(a) + 7*t(a). 506*a**3 - a**2 + 3*a Let c(i) be the third derivative of i**3/6 + i**2. Suppose -489*x - 468*x = -907*x + 700. Let n(o) = o - 7. What is x*c(y) - 2*n(y)? -2*y Let r(x) = -4*x + 1. Let y(u) = -4*u + 1. Suppose -37 = -3*j + 4*z, 11*j - 3*z = 12*j + 18. Calculate j*r(b) - 4*y(b). 4*b - 1 Let r(c) = -337*c - 29. Let g(b) = 4*b + 4. Give 7*g(u) + r(u). -309*u - 1 Let b(i) = 264*i + 5. Let t(n) = 66*n + 1. What is -6*b(p) + 26*t(p)? 132*p - 4 Let x(b) = -7. Let n(a) = 1606*a - 33726. Give -n(c) + 4818*x(c). -1606*c Let r(v) = -9*v**3 + 34*v**2 + 737*v. Let w(b) = -b**3 + 7*b**2 - 3*b. Determine -r(f) + 5*w(f). 4*f**3 + f**2 - 752*f Let y(l) = -10*l**3 + 10*l**2 + 8*l + 4. Let r(g) = -9*g**3 + 7*g**2 + 8*g + 1. Let o(t) = -4*r(t) + 3*y(t). Let w(x) = x**3 - x + 1. Determine -o(p) + 8*w(p). 2*p**3 - 2*p**2 Let y(c) = 3*c**3 - 4*c + 1. Let f(x) = 3*x**3 - x**2 - 5*x + 1. Let n(w) = -w**3 + 49*w**2 - 5*w + 247. Let r be n(49). Determine r*f(q) - 3*y(q). -3*q**3 - 2*q**2 + 2*q - 1 Let b(p) = p - 2. Let h(l) = 9*l + 10 - 7*l - 6 - 2 - 4*l. What is -5*b(m) - 4*h(m)? 3*m + 2 Let n(m) = 26*m**2 - 6. Let x(a) = -237*a - 468. Let z be x(-2). Let s(q) = 286*q**2 - 65. Give z*s(k) - 65*n(k). 26*k**2 Let y(l) = 27*l + 13. Let p(j) = -82*j - 48. Give 2*p(k) + 7*y(k). 25*k - 5 Let z(g) = -35*g**2 - 25*g - 35. Let u(i) = -3*i**2 - 2*i - 3. Suppose -18 = 3*m, 1999*m = -5*d + 1998*m - 131. Calculate d*u(o) + 2*z(o). 5*o**2 + 5 Let m(b) = 5*b - 162 + 100 + 32 + 36. Let h(g) = -11*g - 11. Determine 6*h(v) + 11*m(v). -11*v Let t(a) = -2*a - 9. Let i(n) = 595*n**2 - 30*n - 130. What is -i(m) + 15*t(m)? -595*m**2 - 5 Let v(o) = -26*o - 5. Let y(a) = 28*a + 5. Give 5*v(i) + 4*y(i). -18*i - 5 Let l = -285 + 671. Let o(a) = -2*a + a - l*a**2 - 1 + 382*a**2. Let p(t) = -t**2 - 1. Let x be 1*-2 - (3 - 4). Give x*o(r) + 3*p(r). r**2 + r - 2 Let t(k) = -k. Let u = 6190 - 6191. Let n(p) = 2*p + 34. Determine u*n(o) - 3*t(o). o - 34 Let m(f) be the first derivative of 7*f**4/4 + 4*f**3/3 + 4*f + 54. Let l be (-1 + (-3)/(-2))*8. Let h(i) = -8*i**3 - 5*i**2 - 5. Determine l*m(p) + 3*h(p). 4*p**3 + p**2 + 1 Let h(n) = 55*n + 145*n**3 - 124*n**3 - 51*n. Let k(u) = 42*u**3 + 7*u. Calculate -11*h(d) + 6*k(d). 21*d**3 - 2*d Let v(m) = -m + 1. Let z(y) be the first derivative of -12*y**2 + 33*y + 1051. Determine 66*v(d) - 2*z(d). -18*d Let f(y) = -2*y**2 - 8*y - 3. Suppose -279*v = -311*v - 160. Let j(l) = -2*l**2 - 8*l - 3. Determine v*j(z) + 4*f(z). 2*z**2 + 8*z + 3 Let q(u) = -7*u**2 + 1. Let f be (-8)/(-2)*(-5577)/3380 - (-6)/10. Let k(i) = -1 + 14*i**2 - 2*i**2 - 4*i**2. Determine f*k(d) - 7*q(d). d**2 - 1 Let n(p) = 11*p - 5. Let v(z) = 33*z - 14. Suppose -4*c = 2*h + 12, -12 = -2*h - 0. Give c*v(g) + 17*n(g). -11*g - 1 Let y(j) = -j. Let c(s) be the second derivative of 5*s**4/12 - 5*s**3/6 - 1021*s - 1. Determine c(b) - 10*y(b). 5*b**2 + 5*b Let j(s) = -8*s + 310. Let q(u) = -7*u + 308. Give 6*j(r) - 5*q(r). -13*r + 320 Let l(d) = 4*d**2 - 1. Let f(h) be the second derivative of -h**4/3 + h**3/6 + h**2/2 - h + 43. Calculate 3*f(w) + 2*l(w). -4*w**2 + 3*w + 1 Let k(l) = 18*l**3 + 9*l**2 + 101*l. Let m(d) = -21*d**3 - 11*d**2 - 101*d. Give 6*k(r) + 5*m(r). 3*r**3 - r**2 + 101*r Let h(i) = -1805*i**2 - 37*i + 30. Let r(s) = 900*s**2 + 17*s - 14. What is 6*h(f) + 13*r(f)? 870*f**2 - f - 2 Let l(h) = 9*h**2 - h + 1. Let n(m) = -1237*m**2 - m + 1. Give l(t) + n(t). -1228*t**2 - 2*t + 2 Let m(s) = 7*s - 25. Let a(p) = 33. Calculate 2*a(x) + m(x). 7*x + 41 Let r(f) = -f - 10 + 11 - 2*f**2 + 5*f**2. Suppose 0 = -l - 13 + 6. Let b(d) = -10*d**2 + 3*d - 4. Let n = -1 + -1. Give l*r(v) + n*b(v). -v**2 + v + 1 Let g(k) = 25*k**2 + 3*k + 450. Let d(q) = -7*q**2 - q - 150. What is -7*d(c) - 2*g(c)? -c**2 + c + 150 Let w(i) = i + 3. Let b(v) be the third derivative of 0 - 18*v**2 + 0*v - 1/8*v**4 - 3/2*v**3. Determine -2*b(j) - 7*w(j). -j - 3 Let a be -1*(-110)/((-80)/(-8)). Let g(s) = 14*s**3 + 21*s**2 + 11*s - 11. Let y(b) = -3*b**3 - 4*b**2 - 2*b + 2. Determine a*y(p) + 2*g(p). -5*p**3 - 2*p**2 Let b(j) = -2*j**2 + 9*j - 2. Let a = -17400 + 17403. Let v(i) = 3*i**2 - 10*i + 2. What is a*v(q) + 4*b(q)? q**2 + 6*q - 2 Let x(c) = 2*c**2 + c - 1. Suppose 2*i - 7 - 1 = 0. Let p be (-915)/(-90) + 2/(-12)*1. Let n(y) = -p*y + 3 + 3*y + 3*y + 2*y - 5*y**2. What is i*n(j) + 11*x(j)? 2*j**2 + 3*j + 1 Suppose -37*c - 210 = -62. Let o(w) = 21. Let u(z) = 26. Let m(g) = c*u(g) + 5*o(g). Let y(f) = f - 7. Give -4*m(d) - y(d). -d + 3 Let w(k) = 3*k**3 + 5*k**2 + 497*k - 10. Let p(y) = -2*y**3 - 3*y**2 - 248*y + 6. What is 5*p(d) + 3*w(d)? -d**3 + 251*d Let q(f) = -f**2 - 2*f - 1. Let s(p) = -p**2 - p. Suppose -h + 23 = -4*m, -5*h + 480*m = 483*m. Calculate h*q(w) - 2*s(w). -w**2 - 4*w - 3 Let t(i) = -6*i**2 + 2*i - 1. Suppose 15 = 6*z - z. Suppose 2*m = z*m - 1. Let u be t(m). Let c(r) = 9*r - 3. Let s(o) = -14*o + 5. Give u*s(k) - 8*c(k). -2*k - 1 Let l(m) = -m**2 + 2*m. Let z(n) = 13*n**2 - 2*n + 25. Give l(r) + z(r). 12*r**2 + 25 Let y(n) = 12583*n**2 + 7*n - 27. Let p(s) = -8388*s**2 - 5*s + 19. Calculate -7*p(z) - 5*y(z). -4199*z**2 + 2 Let x(o) be the first derivative of o**4 - o**3 - 2*o**2 - 13*o - 5154. Let s(i) = -i**3 + i**2 + i + 4. Determine 7*s(z) + 2*x(z). z**3 + z**2 - z + 2 Let o(d) = -631*d + 16. Let p(j) = -629*j + 12. Determine 3*o(f) - 4*p(f). 623*f Let l(o) = -9*o + 134. Let p(y) = -2. Give l(b) - p(b). -9*b + 136 Let n(q) be the first derivative of -3*q**4/4 + 2*q**3/3 + 2*q**2 - 8*q + 1009. Let l(w) = 9*w**3 - 6*w**2 - 11*w + 23. Give -6*l(h) - 17*n(h). -3*h**3 + 2*h**2 - 2*h - 2 Let r(l) = 34*l**2 + 10*l + 4220. Let h(o) = 7*o**2 + 2*o. Determine 5*h(k) - r(k). k**2 - 4220 Let t(r) = -2 + 2315*r**2 - 788*r**2 - 765*r**2 + 3*r - 759*r**2. Suppose -4*m = -0 + 8. Let v(c) = -10*c**2 - 10*c + 7. Calculate m*v(d) - 7*t(d). -d*
{ "pile_set_name": "DM Mathematics" }
of -4*y**2 - 2*y**3 + 24*y**4 - 26*y**a + 2*y**3 wrt y? -48*y Let p(j) = j**2 + 24*j**2 + 5*j**2 - 6 + 19*j**3 + 1. Let o(k) = 18*k**3 + 31*k**2 - 6. Let x(h) = 5*o(h) - 6*p(h). Find the third derivative of x(m) wrt m. -144 Let a(p) be the first derivative of 19*p**3/3 - 9*p**2/2 - 40. Let h(u) = 57*u**2 - 28*u. Let i(d) = 11*a(d) - 4*h(d). Find the second derivative of i(v) wrt v. -38 Let p(y) be the second derivative of 77*y**7/6 - 255*y**3/2 + 5*y + 27. Find the second derivative of p(c) wrt c. 10780*c**3 Let q = 23 + -19. Let j = q - 0. What is the third derivative of j*c**3 - 6*c**2 + 2*c**2 - 5*c**2 wrt c? 24 Let m be (-40)/4*1/(-2). What is the third derivative of -4*w**m - 2*w**5 + 25*w**2 - 79*w**2 + 33*w**2 wrt w? -360*w**2 Find the second derivative of -318*c**3 + 0*c - c + 2*c**2 + 110*c**3 - 5 + 138*c**3 + 101*c**3 wrt c. 186*c + 4 Let v(h) be the second derivative of -h**8/120 + h**4/6 - 11*h**3/3 - 29*h. Let x(g) be the second derivative of v(g). Differentiate x(t) wrt t. -56*t**3 Let v(q) be the third derivative of q**7/420 + q**5/40 + 3*q**3/2 + 11*q**2. Let y(z) be the first derivative of v(z). Find the second derivative of y(r) wrt r. 12*r Let t(y) be the first derivative of -y**6/3 - y**5/5 + 38*y**3/3 + y**2/2 + 134. What is the third derivative of t(o) wrt o? -120*o**2 - 24*o What is the third derivative of -81*p**2 + p**3 - 26*p**4 - 30*p**2 - 18*p**4 - 6*p**4 wrt p? -1200*p + 6 Let p(y) = -703*y**2 + 18*y - 969. Let k(o) = -352*o**2 + 10*o - 485. Let n(x) = -7*k(x) + 4*p(x). Differentiate n(l) wrt l. -696*l + 2 Let f(p) be the first derivative of -p**10/252 + p**6/24 - 25*p**3/3 + 2. Let k(t) be the third derivative of f(t). What is the third derivative of k(n) wrt n? -2400*n**3 Suppose 4*a = -2*i + 6*a + 6, -5*a - 9 = -2*i. Let t = 69 - 69. What is the second derivative of -2*d**3 - 5*d + 0*d**2 + t*d**i - 5*d**3 wrt d? -42*d Find the first derivative of 2*y - 60 + 4*y + 4*y**2 - 12 + 2*y - 9*y wrt y. 8*y - 1 Let f(r) = 2*r**2 + 10*r + 2. Let t be f(-5). Find the first derivative of 24*s - 10*s - 3 - 1 + t wrt s. 14 Suppose 7*g - 66 + 17 = 0. Find the third derivative of -7 + g - 24*t**4 + t**2 + 6*t**2 wrt t. -576*t Let r = 92 + -84. What is the second derivative of r*w - 36 + 7 + 4*w + 32*w**3 - 14*w wrt w? 192*w Let x be (-2)/1*-85*2/4. Find the third derivative of x*k**2 - 197*k**2 + 17*k**6 + 99*k**2 wrt k. 2040*k**3 Let l(y) be the third derivative of -13*y**2 + 0 + 0*y**5 - 3/2*y**3 - 17/210*y**7 + 0*y + 0*y**4 + 0*y**6. What is the first derivative of l(g) wrt g? -68*g**3 Suppose 5*f + 6*q - 3*q - 38 = 0, -28 = -4*f - 3*q. Let r be 2*(36/8 + -3). What is the derivative of -4 - 2 - f*h**r + 17*h**3 wrt h? 21*h**2 What is the third derivative of -29*j**2 - 20 + 90*j**5 + 5*j**5 - 59*j**2 + 126*j**5 + 17 wrt j? 13260*j**2 Let s(u) = -u + 3487 - 3487. Let f(o) = 12*o**2 - 6*o - 10. Let k(x) = -f(x) + 6*s(x). Find the first derivative of k(r) wrt r. -24*r Let w = -351 - -356. Let m(k) be the second derivative of -3/20*k**w + 0 + 0*k**2 + 1/12*k**4 + 3*k + 0*k**3. Find the third derivative of m(n) wrt n. -18 Let j(g) be the second derivative of g**2 + 0*g**5 + 0 + 0*g**3 + 10*g + 0*g**4 + 7/10*g**6. Find the first derivative of j(i) wrt i. 84*i**3 Let q(l) be the first derivative of 1/3*l**3 + 0*l - 13/2*l**2 - 12. Find the second derivative of q(j) wrt j. 2 Let x(d) = d + 1. Let q(a) = 17*a + 7 + 12 - 7. Let v(s) = q(s) - 5*x(s). What is the first derivative of v(g) wrt g? 12 Let r = 294 - 290. Let b(i) be the third derivative of -9*i**2 + 0 + 5/24*i**r - 2/3*i**3 + 0*i. Differentiate b(x) wrt x. 5 Let y(v) = 3*v**2 - 1. Let d(k) = 874*k**2 - 466. Let n(i) = d(i) + y(i). What is the derivative of n(r) wrt r? 1754*r Suppose g - 5*f - 5 = 0, -2*f - f = 0. Let j = 1 + g. Find the second derivative of 9*k**4 - 4*k + k**4 + 8*k**4 - j*k**4 wrt k. 144*k**2 Let t(z) be the first derivative of -23*z**4 + z**2 + 215*z - 52. What is the derivative of t(f) wrt f? -276*f**2 + 2 Let a be 1/(-2)*(0 + -44). Let q = 25 - a. What is the first derivative of 13*g**4 + q*g**3 - 3*g**3 - 3 - 2 wrt g? 52*g**3 Let n(y) be the third derivative of -52*y**2 + 1/12*y**4 + 0*y + 0 + 1/30*y**6 - 7/6*y**3 + 0*y**5. What is the first derivative of n(x) wrt x? 12*x**2 + 2 Let y(d) be the third derivative of 0 + 0*d - 1/6*d**6 + 0*d**4 + 0*d**5 - 5/2*d**3 - 19*d**2. What is the first derivative of y(g) wrt g? -60*g**2 Suppose 0 = -z + 4*z - 9. Suppose -y = -4*y + 24. What is the first derivative of -3 + y*s**3 + 7*s**3 - 17*s**z wrt s? -6*s**2 Let h(v) be the third derivative of -16*v**2 + 0*v**6 - 1/20*v**5 + 0*v + 0 - 1/30*v**7 + 0*v**4 + 0*v**3. Find the third derivative of h(t) wrt t. -168*t Let s(i) be the second derivative of 0*i**4 + 0 - 1/2*i**2 + 0*i**5 + 0*i**3 - 10*i + 3/10*i**6. What is the derivative of s(g) wrt g? 36*g**3 Let w(h) = 1. Let r(s) = s**4 - 34*s + 3. Let x(d) = -r(d) + 3*w(d). Find the second derivative of x(g) wrt g. -12*g**2 Let l be 1*8/1 + -3. Suppose -3*p + 4 + l = 0. Find the second derivative of 12*c - 9*c**p + 2*c**3 - 3*c**3 - 14*c wrt c. -60*c Let k be 84/(-36)*(-6)/21*3. Let l(r) be the second derivative of 0*r**3 - 5/12*r**4 - 7*r + 7/2*r**k + 0. Differentiate l(g) wrt g. -10*g Let d = 38 + -36. Differentiate -y + d*y + 11*y - 13 with respect to y. 12 Let g be 56/84 + 2*(-38)/(-12). Find the third derivative of -6*o**4 + 4*o**2 + g*o**4 + 8 - 3*o**4 wrt o. -48*o Let v(a) be the first derivative of 35*a**4/2 + 122*a**3/3 + 378. Find the third derivative of v(w) wrt w. 420 Suppose 2*c + 3*c - 20 = 0. Let h be (-6)/c*4/(-2). What is the first derivative of -2*n + h - 1 - 3*n + n wrt n? -4 Let x(n) = -426*n**4 - 19*n + 9. Let a(h) = -853*h**4 - 40*h + 18. Let z(k) = 2*a(k) - 5*x(k). What is the second derivative of z(c) wrt c? 5088*c**2 Let d(i) = -3*i**2 + i. Let y(u) = -251*u**2 + 2*u + 28. Let h(w) = 5*d(w) - y(w). What is the second derivative of h(r) wrt r? 472 Let h(b) be the second derivative of -31*b**6/5 - 307*b**2/2 + 305*b - 1. What is the derivative of h(s) wrt s? -744*s**3 Let k(b) = 24*b**2 - 7 - 6*b**2 + 0*b - 8*b + 22*b. Let y(f) = -f**2 - f - 1. Let n(t) = k(t) - 5*y(t). Find the second derivative of n(r) wrt r. 46 Let k(d) = -2*d**2 + 1. Let y(c) = 325*c**3 + 195*c**2 + 2. Let x(h) = 4*k(h) - y(h). Find the third derivative of x(a) wrt a. -1950 Let p(s) be the second derivative of -s**9/3780 + s**7/280 + s**4 - 7*s. Let u(i) be the third derivative of p(i). Find the third derivative of u(z) wrt z. -96*z Find the first derivative of 15*j**4 + 34 + 0*j + 6*j - 16*j**4 wrt j. -4*j**3 + 6 Let s(q) = q - 7. Let c be s(7). Suppose c = f - 0*f - 6. What is the derivative of 6*o**2 + 4*o**3 - 6*o**2 - f wrt o? 12*o**2 Let q(i) be the second derivative of 143*i**6/30 + 173*i**2/2 + 39*i. Differentiate q(u) wrt u. 572*u**3 Let x(l) = l**2 - 6*l - 11. Let d be x(8). What is the third derivative of 9*i**6 - 7*i**6 - 18*i**6 + 0*i**2 - d*i**2 wrt i? -1920*i**3 Let i be (-10)/4 + (-72)/(-16). Differentiate -7*y**i + 20*y**2 + 8 + 0 with respect to y. 26*y Let i(m) be the first derivative of 21*m + 1 + 0*m**3 - 9/2*m**4 + 0*m**2. Find the first derivative of i(w) wrt w. -54*w**2 Let v = 26 - 24. What is the third derivative of -2*r**2 - 5*r + 5*r - 22*r**5 - 20*r**v wrt r? -1320*r**2 Let f(r) be the first derivative of -r**8/70 + r**6/10 - 59*r**3/3 + 59. Let g(y) be the third derivative of f(y). Find the third derivative of g(j) wrt j. -576*j Let s(q) = -6*q**3 - q**2 + 6*q + 44. Let p(m) = -7*m**3 - m**2 + 5*m + 45. Let u(o) = -6*p(o) + 5*s(o). Find the first derivative of u(n) wrt n. 36*n**2 + 2*n Let t(a) be the first derivative of a**8/168 - a**5/60 + 4*a**3/3 + 2. Let f(c) be the third derivative of t(c). What is the second derivative of f(d) wrt d? 120*d**2 Let n(s) = 3*s**2 + 3*s + 2. Let u be n(-1). Suppose 5*b - u*b - 307 = -2*a, 0 = -b - a + 103. Find the second derivative of b - 5*f - 101 + 11*f**2 wrt f. 22 Let i(z) be the second derivative of z**6/6 - 7*z**4/12 + 73*z**3/6 - 153*z. What is the second derivative of i(s) wrt s? 60*s**2 - 14 Find the second derivative of -55*v + 106*v - 48*v - 46*v**4 - 23 wrt v. -552*v**2 Let p(z) = -73*z**3 + 9*z**2 - 200*z + 10. Let o(a) = 36*a**3 - 4*a**2 +
{ "pile_set_name": "DM Mathematics" }
-4 Solve 34 - 30 = 4*f for f. 1 Solve 13 - 5 = -2*v for v. -4 Solve 73*o = 154 + 65 for o. 3 Solve 7*c + 3 = 4*c for c. -1 Solve -277*f + 281*f - 16 = 0 for f. 4 Solve -7*u + 16 = 30 for u. -2 Solve 105 = 18*m - 3*m for m. 7 Solve 28*o + 2 = 27*o for o. -2 Solve 0 = 53*k + 48 + 5 for k. -1 Solve -w - 6 = -5 for w. -1 Solve 5*j + 31 - 21 = 0 for j. -2 Solve 7 = -f + 9 for f. 2 Solve -12*f - 54 = -21*f for f. 6 Solve 0 = -11*i + 389 - 290 for i. 9 Solve -17*u = -19*u for u. 0 Solve 8*u + 112 = 120 for u. 1 Solve 103*m + 21*m = 868 for m. 7 Solve 60 = 3*a + 48 for a. 4 Solve 6 = -9*i + 15*i for i. 1 Solve 3*y - 241 = -244 for y. -1 Solve -v - 2 = -2*v for v. 2 Solve 5*c = 4*c + 1 for c. 1 Solve 0 = 20*j + 5*j for j. 0 Solve -8*w = 9*w - 51 for w. 3 Solve -29*s - 40 = -37*s for s. 5 Solve 26*f + 69 - 43 = 0 for f. -1 Solve 3*u - 1 = 2*u for u. 1 Solve 4*k = -0 + 4 for k. 1 Solve -34*h + 24*h = 50 for h. -5 Solve 7*a + 165 = 207 for a. 6 Solve 75*k = 62*k - 104 for k. -8 Solve -4*r + 5*r + 1 = 0 for r. -1 Solve 8 = 5*x - 12 for x. 4 Solve -15 + 2 = 13*m for m. -1 Solve -20*d + 24 = -16*d for d. 6 Solve -23*w - 97 = -281 for w. 8 Solve d = -27*d + 224 for d. 8 Solve -18*y + 24*y = 36 for y. 6 Solve 4*i + 52 = 32 for i. -5 Solve 220 = 35*h - 13*h for h. 10 Solve 21 = -4*y + 33 for y. 3 Solve -4*n + 38 = 10 for n. 7 Solve 0*l - 477 = -53*l for l. 9 Solve 4*p - 23*p - 57 = 0 for p. -3 Solve -22*j - 17 = 71 for j. -4 Solve 4 + 22 = 13*r for r. 2 Solve -4*y = 25*y + 232 for y. -8 Solve 170 = 5*z + 29*z for z. 5 Solve 121 = 14*y + 37 for y. 6 Solve 22 = 33*y - 308 for y. 10 Solve 0 = 149*i - 168*i + 76 for i. 4 Solve 2*o + 13 - 21 = 0 for o. 4 Solve -k = -5*k + 26*k for k. 0 Solve -27 = -3*m - 36 for m. -3 Solve 711*l = 726*l for l. 0 Solve 700*l - 684*l = -48 for l. -3 Solve 86*q = 98 + 74 for q. 2 Solve 0 = 16*v - 12 - 4 for v. 1 Solve 13*g - 18*g - 10 = 0 for g. -2 Solve -40 = -2*f + 10*f for f. -5 Solve 98*w - 105*w = 14 for w. -2 Solve 121 - 151 = 6*q for q. -5 Solve -3*i + 540 = 558 for i. -6 Solve -20 + 29 = 9*n for n. 1 Solve -4346*m = -4358*m - 84 for m. -7 Solve -425 + 545 = -15*k for k. -8 Solve 5*u + 949 = 944 for u. -1 Solve -11*s = -7*s + 12 for s. -3 Solve n + 40 = -9*n for n. -4 Solve 319 - 199 = 15*j for j. 8 Solve 4*s = 2*s - 6 for s. -3 Solve 12 = -2*f + 2 for f. -5 Solve 0 = -3*p + 8*p + 10 for p. -2 Solve 39 = -7*m - 6*m for m. -3 Solve 14*z - 5 + 5 = 0 for z. 0 Solve -8*s - 550 + 502 = 0 for s. -6 Solve -23*v + 19 = -73 for v. 4 Solve 25 = 14*k - 17 for k. 3 Solve 0 = 4*w - 217 + 245 for w. -7 Solve 0*k + 5*k = -20 for k. -4 Solve -23*c - 92 = 23*c for c. -2 Solve -v = -4*v + 12 for v. 4 Solve -12*p + 5*p = 14 for p. -2 Solve -345*u - 46 = -322*u for u. -2 Solve 2 + 3 = -5*m for m. -1 Solve -31*v + 34*v = 9 for v. 3 Solve -23*l - 15 = -38 for l. 1 Solve 3*j = 29 - 44 for j. -5 Solve -3*r - 8*r = -14*r for r. 0 Solve -3*u = -0*u + 9 for u. -3 Solve 23 = 11*m + 45 for m. -2 Solve 0 = -3*l + 2265 - 2271 for l. -2 Solve 0*l - 10 = 2*l for l. -5 Solve 0 = v + 103 - 101 for v. -2 Solve -7*y + 22 = 15 for y. 1 Solve 230*m + 120 = 210*m for m. -6 Solve 0 = -22*u - 13 + 13 for u. 0 Solve 4*t - 30 + 14 = 0 for t. 4 Solve 4*i - 19*i - 60 = 0 for i. -4 Solve -49*h + 60 = -39*h for h. 6 Solve 38 = 14*a + 10 for a. 2 Solve 23*t - 12*t = 13*t for t. 0 Solve 0 = 20*t - 28 - 12 for t. 2 Solve 4*j - 5*j = 8*j for j. 0 Solve -19*t + 1750 - 1902 = 0 for t. -8 Solve 12 = 70*p - 74*p for p. -3 Solve 22*t = -54 - 56 for t. -5 Solve 1104 = -15*z + 969 for z. -9 Solve 0 = -31*c - 126 - 91 for c. -7 Solve 0 = 4*s - 0*s for s. 0 Solve -78 = -2*c - 70 for c. 4 Solve -4*k + 16 = 4 for k. 3 Solve 3*p - 2 = 1 for p. 1 Solve -7*k = -6 - 15 for k. 3 Solve -46 = 20*z + 14 for z. -3 Solve 314*r + 360 = 274*r for r. -9 Solve 9*a + 121 = 67 for a. -6 Solve -25*v - 488 + 713 = 0 for v. 9 Solve -7*t + 19*t - 60 = 0 for t. 5 Solve 60*d = 449 - 29 for d. 7 Solve -7*v - 17*v = 0 for v. 0 Solve -27 + 55 = -7*u for u. -4 Solve 20*j + 424 = -33*j for j. -8 Solve 40*q - 66 = 51*q for q. -6 Solve 0 = 20*f - 30*f - 30 for f. -3 Solve 17*i = -8*i + 75 for i. 3 Solve 11*n - 816 = -750 for n. 6 Solve -48*o = -46*o + 10 for o. -5 Solve -u = 4*u - 5 for u. 1 Solve -36*z = -195 - 201 for z. 11 Solve -3 + 3 = 17*g for g. 0 Solve 12*b = 16*b - 8 for b. 2 Solve -6*s - 43 = -7 for s. -6 Solve 0 = 30*f + 28*f + 31*f for f. 0 Solve 1846*r - 7 = 1853*r for r. -1 Solve 65*k - 57 = -187 for k. -2 Solve 2*p = 24 - 30 for p. -3 Solve 2 = 7*k - 26 for k. 4 Solve -u - 222 = -228 for u. 6 Solve 17*s - 10 = 22*s for s. -2 Solve 63*i = 47*i - 16 for i. -1 Solve 75*j + 183 = 14*j for j. -3 Solve 2 = -9*v - 7 for v. -1 Solve 15*s - 30*s + 90 = 0 for s. 6 Solve 0 = 3*w + 6*w - 36 for w. 4 Solve 0 = 35*a - 471 + 261 for a. 6 Solve 7*k = 3*k - 12 for k. -3 Solve 0 = -82*d - 887 + 149 for d. -9 Solve -8*c - 4 = -10*c for c. 2 Solve -13 = 7*j + 1 for j. -2 Solve -2*q + 76 = -21*q for q. -4 Solve -67*v = -79*v + 108 for v. 9 Solve -58*h - 63 = -37*h for h. -3 Solve 4*t + 12 = -8*t for t. -1 Solve -60 = -2*o - 62 for o. -1 Solve 2*k = 6*k - 0*k for k. 0 Solve -348*j = -349*j + 9 for j. 9 Solve 22*m = 106 + 92 for m. 9 Solve -66*m - 60 = -456 for m. 6 Solve 14*b + 40 = -2 for b. -3 Solve 0 = -326*b + 336*b - 10 for b. 1 Solve 11 + 4 = -3*y for y. -5 Solve -240*p = -253*p - 78 for p. -6 Solve 0*r - 36 = 9*r for r. -4 Solve 17*n = 39*n for n. 0 Solve -32*c = -16 - 16 for c. 1 Solve 0 = 6*c - 71 + 95 for c. -4 Solve 36*h + 104 = 32 for h. -2 Solve 12 = 58*n - 54*n for n. 3 Solve -2*f + 276 = 276 for f. 0 Solve 0 = -2*l + 5*l - 9 for l. 3 Solve 19 = 6*c - 11 for c. 5 Solve 2*s + 20 = 22 for s. 1 Solve 0 = 16*z - 19 + 3 for z. 1 Solve -18*x + 26*x = -72 for x. -9 Solve 0 = 68*g - 20*g + 432 for g. -9 Solve 20*z - 28 = 48*z for z. -1 Solve 0 = -0*p + 5*p - 20 for p. 4 Solve 17*v = -281 + 213 for v. -4 Solve 59*q = 44*q - 30 for q. -2 Solve 270*m - 267*m + 3 = 0 for m. -1 Solve -934*v - 6 = -933*v for v. -6 Solve 4*r + 23 + 1 = 0 for r. -6 Solve -13*z = 3 - 42 for z. 3 Solve 16 - 14 = l for l. 2 Solve 0 = 4*z - 25 + 45 for z. -5 Solve -178 = -8*y - 186 for y. -1 Solve 0 = -20*f + 5*f - 30 for f. -2 Solve -23*k = 6*k + 58 for k. -2 Solve 0 = 10*u + 30 - 10 for u. -2 Solve 0 = -i - 2*i - 9 for i. -3 Solve 4*w + 12 = -4 for w. -4 Solve -558 = -257*j + 195*j for j. 9 Solve 9 - 9 = 4*s for s. 0 Solve 128 = -6*q + 134 for q. 1 Solve 9 - 29 = -4*d for d. 5 Solve -1214*q = -1224*q + 30 for q. 3 Solve 10*c + 52 = 112 for c. 6 Solve -8 = -3*o + 1 for o. 3 Solve 14*b = -9*b - 115 for b. -5 Solve 49*s - 50*s + 5 = 0 for s. 5 Solve 25*r - 72 = 7*r for r. 4 Solve 40 = -21*z - 107 for z. -7 Solve -9*o - 18 = -0*o for o. -2 Solve -657*k + 11 = -646*k for k. 1 Solve -9 = -152*x + 149*x for x. 3 Solve 94*k - 157 = 689 for k. 9 Solve 14*y - 15*y + 4 = 0 for y. 4 Solve -14*a = -4*a - 50 for a. 5 Solve v + 12 = 8 for v. -4 Solve -3 = 8*l - 5*l for l. -1 Solve 120*m = 130*m + 80 for m. -8 Solve -2*o + 10 = 16 for o. -3 Solve 296*s - 310*s = 56 for s. -4 Solve 7*y - 274 = -225 for y. 7 Solve 1 = 10*d - 9*d for d. 1 Solve 2*r - 6 + 18 = 0 for r. -6 Solve 0 = 10*m - 2*m + 40 for m. -5 Solve 4 = -200*x + 204*x for x. 1 Solve -13*t + 19 - 84 = 0 for t. -5 Solve 12 - 8 = f for f. 4 Solve 16*l = -398 + 302 for l. -6 Solve -32 = 7887*t - 7879*t for t. -4 Solve 68 = 5*s + 63 for s. 1 Solve -80 = -5*i - 95 for i. -3 Solve 5*x - 8*x = -12 for x. 4 Solve -43 = -3*n - 40 for n. 1 Solve 0 = 141*c - 128*c + 26 for c. -2 Solve 141 = -2*x + 149 for x. 4 Solve -10*l - 2188 + 2158 = 0 for l. -3 Solve 3*n + 10 - 4 = 0 for n. -2 Solve 4*y + 36 = 16*y for y. 3 Solve 0 = 12*c + 13*c for c. 0 Solve -11*h = 29*h + 80 for h. -2 Solve -18*y - 4 = -58 for y. 3 Solve 64 = 34*c - 2*c for c. 2 Solve 4*v = -10 - 2 for v. -3 Solve 0 = 6*t - 10 - 20 for t. 5 Solve -192 = 38*o + 112 for o. -8 Solve 15*g - 367 = -322 for g. 3 Solve 0 = -2*r - 29*r + 310 for r. 10 Solve -397 + 1387 = 99*n for n. 10 Solve 0 = 21*f - 4*f for f. 0 Solve -32*s + 43*s = 0 for s. 0 Solve 9 = w + 4 for w. 5 Solve 9*y = -9*y + 108 for y. 6 Solve 93*n - 44 = 82*n for n. 4 Solve 3*u + 8 = -5*u for u. -1 Solve -53*x = 183 - 236 for x. 1 Solve 17 = -13*v - 22 for v. -3 Solve -5*a = 39 - 24 for a. -3
{ "pile_set_name": "DM Mathematics" }
*3 and give u. 2 Rearrange 9 - 19*x - 12*x - x**3 + 25*x to the form z*x**3 + l + r*x + c*x**2 and give l. 9 Express -6*j - 41 + 41 in the form k + c*j and give c. -6 Express -4*d + d + 5*d + (-5 + 5 - 18)*(-3*d + 0*d + 2*d) as y*d + j and give y. 20 Rearrange (-3*s**4 + 2*s**4 + 3*s**4)*(1 - 1 + 2)*(0 + 1 + 1)*(-1 + 4 - 5) to the form h + d*s + f*s**4 + l*s**3 + y*s**2 and give f. -16 Express (-3*a + 3*a - 2*a)*(4 + 0 + 4) + (-5*a + 5*a - 2*a)*(0 + 0 + 2) as q*a + o and give q. -20 Rearrange (6*f + 13*f + 29*f)*(-3*f**2 + 2*f**2 + 4*f**2) to n*f + q + w*f**3 + a*f**2 and give w. 144 Express (-a + 0*a + 3*a)*(-3 + 2 + 0 - 2*a) - 2*a**2 + 3*a**2 + a**2 as k*a**2 + s + h*a and give k. -2 Express -j - j + 0*j + 61 as c + s*j and give s. -2 Express (o**2 + 2*o**2 - o**2)*(-2*o + 0 + 0) + 4*o - 4*o + 2*o**3 + 2*o**3 + 5603 - 233*o**3 - 5603 in the form r*o**3 + t*o**2 + j + b*o and give r. -233 Rearrange -2*l**4 + l**2 + 2*l + 3*l**4 + l**4 + 0*l**2 to the form j*l**4 + g + v*l**2 + i*l + b*l**3 and give i. 2 Rearrange -97*c**2 + 100*c**2 + 0 + 5 to f*c + a + j*c**2 and give j. 3 Express (y + 2*y - 4*y + (2 - 3 + 3)*(6*y + 9 - 9))*(2*y**3 + 0*y**2 + 0*y**2) as q*y**2 + l + n*y**3 + d*y**4 + a*y and give d. 22 Rearrange (-3*h + 4*h - 5*h)*(1 + 2 + 0) - 6*h + 4*h - 3*h to the form j + d*h and give d. -17 Rearrange 0 - 18*a + 0 - 53*a to b + s*a and give s. -71 Rearrange (6 + 1 - 10)*(-y + 4*y - y)*(12 - 12 - 16*y**2) to the form t + i*y + s*y**3 + l*y**2 and give s. 96 Rearrange -3*f + 5*f + 0*f + (-10 - 10*f + 10)*(-2 - 4 + 3) to the form r*f + d and give r. 32 Express (-4 + 9*h**3 - 11*h**3 + 28)*(2*h - 3*h + 2*h) as g + i*h**2 + y*h**3 + w*h**4 + x*h and give x. 24 Rearrange -2 - 9*g**2 - 14*g**2 + 15*g**2 + g**3 to the form p + h*g**3 + v*g + f*g**2 and give f. -8 Express (5*m**2 - 4*m**2 - 3*m**2)*(10 + 10*m - 23 + 10) as w + z*m**3 + o*m + t*m**2 and give t. 6 Rearrange (-6 - 2 + 10 + 26*s)*(s - s - 2*s**2) to a*s + u + i*s**3 + f*s**2 and give i. -52 Express (4 + 4 - 4)*(-c**2 - 3*c**2 + 0*c**2)*(-7*c**2 - c**2 - 2*c**2) in the form u*c**3 + q + o*c**4 + n*c + x*c**2 and give o. 160 Rearrange (-59 - 18 - 11)*((3*x - 2*x - 3*x)*(-3 - 2 + 3) - 2*x - x + 2*x) to i + t*x and give t. -264 Express (-3*n + n + n)*((-2*n - n + n)*(-1 - 1 + 4) - 3*n + n + 12*n) as t*n + s + q*n**2 and give q. -6 Express (0 - 2 - 3)*(-6*q**3 + 9*q**2 - 9*q**2) as n + j*q**2 + h*q + f*q**3 and give f. 30 Express -2*p**2 + 39*p**4 - p - 1 + 3*p - 41*p**4 in the form f*p**3 + o*p**4 + d + r*p**2 + z*p and give d. -1 Rearrange 0*p - 2*p + p + 0*p to m + u*p and give u. -1 Express -14*n**2 + 3 - 2 - 1 in the form q*n**2 + g*n + s and give q. -14 Express -2*r + 44 + 7*r**2 + 2*r**3 - 44 as i*r**3 + m*r + q*r**2 + w and give m. -2 Rearrange 2*z**4 + 66*z**3 - 64*z**3 + 0*z**4 - 1 + 4*z**2 to the form c*z + n*z**3 + i*z**2 + p + y*z**4 and give i. 4 Rearrange (-4*l + l + 5*l)*(0*l + 2*l + 0*l)*(-1 - 2 - 4)*(3*l**2 - l**2 - l**2) to the form i*l**3 + z + x*l + p*l**4 + j*l**2 and give p. -28 Express g - g + g + 6 in the form q*g + r and give r. 6 Rearrange 2 - 2 + 42*r - 3*r to the form i*r + m and give i. 39 Express 2*a**2 - 2*a**4 + a + a**4 - a**3 + 0*a**4 + 4*a**4 in the form x + f*a**2 + r*a**3 + b*a + z*a**4 and give f. 2 Express (n + 0*n - 2*n + (n - n - 2*n)*(-2 + 6 - 3) - n + 3*n - 9*n)*(12*n**3 - 18*n**3 - 15*n**3) in the form y*n**4 + t*n**3 + s*n + h*n**2 + w and give h. 0 Express -4*q**4 + q**4 + 5*q**4 + (2*q**3 - q**3 + q**3)*(-q - q + q) - 3 - 7*q**4 - 2*q**4 + 15*q**4 as m*q**3 + a*q**2 + n*q + z*q**4 + t and give t. -3 Rearrange 22 - 10 + v - 6 - 2*v**2 to the form n*v**2 + i*v + p and give p. 6 Express (4*m**2 - 2*m**2 - 3*m**2)*(-1 + 3 + 1) + 2*m**2 - 4*m + 4*m + 0*m**2 - 3*m**2 + 2*m**2 + (0 + 0 + m)*(-5*m - m + m) as p*m + i*m**2 + g and give g. 0 Rearrange -3*r**2 - 2*r**2 + r**2 + (-r - 2*r + 0*r)*(2*r - 3 + 3) + (-4*r - 2*r + 5*r)*(4*r - 3*r - 3*r) to d*r**2 + j*r + k and give j. 0 Rearrange -55 + 27 + 27 - 23*h + (2 - 2 + h)*(-1 - 3 + 3) - 3*h + 5*h - 3*h to the form c*h + x and give x. -1 Express 41*x - 47*x + 1 - 2 in the form j + l*x and give j. -1 Express 3*q**2 + 12*q**2 - 5*q**2 + 16*q**2 as i + n*q + c*q**2 and give c. 26 Rearrange m**2 + 7 + 0*m + 4*m**4 + m - 6 to w*m**2 + a*m + z + n*m**3 + j*m**4 and give z. 1 Rearrange 71*o - o**2 - 72*o + o**2 - 11 - 3*o**3 to v + u*o**3 + g*o**2 + c*o and give c. -1 Rearrange (0*i + 5*i - 3*i)*(6*i - 2*i + i)*(0*i - 2*i + 4*i)*(1 + 2*i - 1) to the form z*i**3 + n*i**4 + x*i**2 + o*i + k and give n. 40 Rearrange (3*m + 2*m - m)*(3 - 4*m + 2*m - 4*m) to the form x*m**2 + p*m + q and give p. 12 Express (2*d - 1 + 1)*(3*d - 3*d + d**2)*(2 - 2 + 1) in the form v*d**2 + k + h*d**3 + t*d and give h. 2 Express (-3*c**3 + 2*c**3 - 2*c**3)*(-7*c + 12 - 12) as o*c + p*c**4 + n*c**2 + g*c**3 + f and give p. 21 Express (1 + 2 - 4)*(98*a**3 - 98*a**3 - 67*a**4) + a**4 - 4*a**4 + 2*a**4 as m + l*a**3 + n*a + k*a**2 + y*a**4 and give k. 0 Express -t**2 - 2*t**3 + 9 - 4 - 2*t - 2 as s*t**3 + d + o*t**2 + m*t and give m. -2 Express ((7 + 6 - 10)*(5 - 4 + 1) - 3 - 2 + 3)*(-5*c + 7 + 3*c + 3*c) as f + t*c and give t. 4 Express -178*j + 178*j - 5 - 2*j**2 in the form o*j + t*j**2 + n and give n. -5 Express -2*y**4 - 3*y**2 - 6*y**3 + 7*y**4 + 3*y**3 + 1 - 6*y**4 as t*y**3 + b*y + v*y**2 + d*y**4 + q and give d. -1 Rearrange 17*h + 11*h - 10*h to the form a*h + w and give w. 0 Express (4*l - l - 2*l)*(-307 - 55*l - 11*l + 309) in the form x + s*l + c*l**2 and give c. -66 Rearrange 3*d - 3*d - d + 3*d + 14*d**2 to the form n*d + b + x*d**2 and give x. 14 Express (-2 + 0 + 4)*(7*k - 3*k - 2*k - 1) + 2*k - k - 3*k as h + z*k and give z. 2 Express 17*q**2 - 8*q**2 + 34*q**2 + (1 + 2 - 1)*(-q - q**2 + q) as n*q**2 + y + r*q and give n. 41 Rearrange -2*r**4 + r**3 + 3*r**2 - 2*r + 0*r - 6*r**2 + 6*r**2 to a*r**3 + x*r**4 + f*r**2 + g*r + m and give a. 1 Rearrange (-74*n**3 + 74*n**3 + 8*n**4 + 2*n**2)*(0 - 2 + 3) to o*n**2 + c + z*n**4 + d*n + a*n**3 and give z. 8 Rearrange -n**3 - 5*n**3 + 2*n**3 + 7 + 2*n**3 to the form z + f*n + m*n**3 + a*n**2 and give m. -2 Rearrange 9*n + 4*n + 3 + 10*n - 1 to the form m*n + i and give m. 23 Express (-5 + 101*d + 17 - 13)*(0 + 0 - d) as t*d + g + u*d**2 and give t. 1 Rearrange (-g + 0*g + 0*g)*(0*g + 4*g - 3*g + (2 - 2 - 1)*(0*g - g + 3*g) - g - 7 + 7) to p*g**2 + v + c*g and give p. 2 Express -3*c - 4*c + 3*c**2 + 7*c as g*c + a*c**2 + s and give a. 3 Express (14*r - 8*r + 11*r)*(2 - r - 2 - 3 + 3 - r + 3*r - 6*r + r + (-2 + 5 - 1)*(4*r - 4*r - 2*r)) - 4*r**2 + 2*r**2 + r**2 as a + p*r + m*r**2 and give p. 0 Express -x - 14*x**3 - 12*x**3 + 3*x + 22*x**3 - 3 in the form j*x**3 + f*x + g*x**2 + o and give j. -4 Rearrange -z + z - 8*z - 2*z + 7*z - 3*z + (0 - 2*z + 0)*(0 - 2 + 0) - z + 3*z - 4*z + (2*z + 5 - 5)*(2 - 5 + 4) - z - 3 + 3 to the form h*z + k and give h. -3 Express -4*a + 13*a**2 + 4*a + 64*a**2 in the form r*a**2 + d + u*a and give r. 77 Express 18*g - 11*g - g + 15*g as z + h*g and give h. 21 Rearrange -25*n - 440 + 440 to b + d*n and give d. -25 Express -2*o - 1 - 6*o - 3*o - 6*o in the form k + g*o and give g. -17 Rearrange z**2 + 13*z**3 - 3*z + 70 - 70 to the form a + d*z + j*z**3 + h*z**2 and give h. 1 Rearrange 5*v - v + 0*v + (0 + 0 - v)*(-4 + 3 + 2) + (4*v - 4*v + 2*v)*(-1 + 1 - 1) to k*v + j and give k. 1 Express -2*i + 2*i + 2 + 2*i**2 + (-i + 2*i + 0*i)*(2*i + 0 + 0) - 933 + 459 + 452 - 3*i**2 as o + f*i**2 + d*i and give o. -20 Rearrange -131*g + 64*g + 48*g to the form n*g + v and give n. -19 Rearrange -5 + l**4 - l**2 + 8 - l - l to o*l + k*l**3 + i + t*l**2 + w*l**4 and give t. -1 Express (6*o + 4*o + 5*o)*((-2 + 2 - 2)*(1 + 0 - 2) - 2 + 2 - 1 + (4 + 0 + 0)*(-1 + 0 - 1)) in the form v + q*o and give q. -105 Express 0 + 1 + 0*f**2 - 4*f**2 - 4*f**2 + 3*f**2 - f**2 + (3*f + 4*f - 5*f)*(-2*f + 4*f - 3*f) - 3 - 2*f**2 + 3 as m + k*f**2 + d*f and give m. 1 Rearrange (-6 + 4 - 1)*((-4 - 1 + 3)*(-2 + a + 2) + 4*a - 5*a - 2*a) to s + f*a and give f. 15 Rearrange 0*h + h**4 - 2*h**2 + 2*h**3 - 2 - 8*h + 8*h to the form x*h**4 + g*h**2 + z*h + j + n*h**3 and give g. -2 Express (9 + 9 - 11)*(4*b + 3*b - 5*b) as z + d*b and give d. 14 Rearrange ((2 - 4 + 3)*(0 - 5 + 4) + 3
{ "pile_set_name": "DM Mathematics" }
s of (2 + y)*6/(-21). 2, 7 Let g = -6 + 7. Let t(m) = m**2 - m - 6. Let v be t(0). What are the prime factors of (0 + v)/(-2 + g)? 2, 3 Let n = 26 + 51. What are the prime factors of n? 7, 11 Suppose -h - h + 22 = 0. Suppose -2*b + 3*b - h = 0. List the prime factors of b. 11 Let k(b) = -b**3 + b**2 - b - 2. Let n be k(2). Let a(d) = -d + 10. List the prime factors of a(n). 2, 3 Let g(i) = i**2 + 3*i + 51. List the prime factors of g(0). 3, 17 Let m = -78 - -86. Let c(h) = -h**2 - 5*h - 1. Let s be c(-4). Suppose -4*x + 4 = q, s*x = -2*q + 31 - m. List the prime factors of q. 2 Let b = 115 - -9. List the prime factors of b. 2, 31 List the prime factors of (4/2)/(((-2)/(-123))/1). 3, 41 Suppose 7*i = i + 144. What are the prime factors of i? 2, 3 Let g(i) = 13*i - 2. List the prime factors of g(1). 11 Let o = -6 - -8. What are the prime factors of (o/4)/(2/40)? 2, 5 Suppose -2*o + 3*f = 74, -4*o + f - 2*f - 148 = 0. What are the prime factors of (1 + (-8)/4)*o? 37 Let g(u) = u**2 - 2*u + 2. Let f be g(2). Let i = f + 4. List the prime factors of i. 2, 3 Suppose -4*c = -798 + 286. Suppose 0 = 5*p, 4*s + 3*p - c = p. Suppose -5*v + s = -v. List the prime factors of v. 2 Suppose -4*a = -4*p - 5*a - 148, 3*a = 4*p + 132. Let n be p/10 - 2/5. What are the prime factors of n + 4 + (1 - -2)? 3 Let r be 3/(-4) + 676/(-16). Let h = r - -25. Let v = 25 + h. List the prime factors of v. 7 Let w = -1 + 4. Suppose -b + 33 + 52 = 5*o, -w*o + 2*b + 64 = 0. What are the prime factors of o? 2, 3 Suppose -28 = 2*c + 100. Let a = 93 + c. List the prime factors of a. 29 Let t = 88 - 53. List the prime factors of t. 5, 7 Let u(i) = -2*i + 3. Let n(r) = 2*r - 3. Suppose j - 10 = -3*b, 0 = -6*b + 4*b + 5*j + 18. Let x(f) = b*n(f) + 5*u(f). What are the prime factors of x(-5)? 13 Suppose 0*o + 2*o = 0. Suppose 0 = -3*p + 4*h + 86, h + 27 = p - o. List the prime factors of p. 2, 11 Let j = 12 + -8. List the prime factors of j. 2 Let i = -5 + 8. Suppose 0 = -7*x + 2*x + 10. Suppose -x*v + 3 + 8 = g, -i*g + 5*v + 11 = 0. What are the prime factors of g? 7 Suppose -2*r - 2*x = -100, -3*x = 2*r + 2*x - 103. What are the prime factors of r? 7 Suppose o = 3 - 0, -4*u + 192 = 4*o. List the prime factors of u. 3, 5 Suppose -3*b = -b - 4. Suppose 3*s - 4*q - 31 - 6 = 0, b*s - 30 = 4*q. List the prime factors of s. 7 Let z(c) be the third derivative of 0*c + 1/120*c**6 + 2*c**2 - 1/20*c**5 + 5/6*c**3 - 1/6*c**4 + 0. What are the prime factors of z(4)? 5 Suppose -3*n + 15 = -69. What are the prime factors of n? 2, 7 Let m = 69 - -22. List the prime factors of 4445/m + (-2)/(-13). 7 Let t(o) = -o**3 + 2*o**3 - 4*o + 7*o + 4*o**2. What are the prime factors of t(-2)? 2 Let m(l) = l**2 + 5*l - 6. List the prime factors of m(5). 2, 11 Let y be -1 + -12 + 1 + 3. What are the prime factors of (-2 - 10)/(y + 7)? 2, 3 Suppose -3*h + 5*g - 19 = 0, -4*g = -5*h - 5 - 5. Suppose 2*w - 12 = h*a - 0, 5*w = -5*a - 10. Let b = w - -3. List the prime factors of b. 5 Let o = 16 + -11. Suppose -o*q + 10 = -10. What are the prime factors of -4 + q - (-2 - 1)? 3 Suppose -200 = -3*q + j + 96, j = -5. List the prime factors of q. 97 What are the prime factors of 2*(-2 + 1) + 30? 2, 7 Let z = 21 - 16. Suppose -51 = -2*c - 0*o + o, z*c - 127 = 3*o. What are the prime factors of c? 2, 13 Suppose -4*h + 167 = 5*t, -31 = 3*t + 4*h - 128. List the prime factors of t. 5, 7 Suppose 7*f - 656 - 352 = 0. List the prime factors of f. 2, 3 Suppose -2*a + 16 = -0. Let m(b) = 57*b - 4 - 46*b - b**2 - 4. What are the prime factors of m(a)? 2 Let o(w) = 4*w - 9. Let n be 2/(-4) + (-65)/(-10). List the prime factors of o(n). 3, 5 Suppose -5*b = 3*i - 0*b - 546, 728 = 4*i + b. List the prime factors of i. 2, 7, 13 Let u be -2 + 9 + (-2 - -3). Suppose v = 15 + u. List the prime factors of v. 23 Let q = 21 + -27. Let y be (2 + -1)/(-1)*11. Let w = q - y. What are the prime factors of w? 5 Let i(c) = 7*c - 3. Let k be i(7). Let n = k - 25. List the prime factors of n. 3, 7 Suppose 31*i = 36*i - 755. What are the prime factors of i? 151 Let m(u) = -u + 3. Let j(t) = -t - 8. Let o be j(-4). What are the prime factors of m(o)? 7 Suppose 2*i = -5 + 67. Let x = i + 10. What are the prime factors of x? 41 What are the prime factors of ((-8)/5)/(18/(-585))? 2, 13 Suppose -34 = -t + 22. What are the prime factors of t? 2, 7 Let a(t) = t**2 - 16. List the prime factors of a(11). 3, 5, 7 Suppose 0 + 6 = 2*f. Suppose 0*z = f*z. Suppose z = 3*k - k - 18. List the prime factors of k. 3 What are the prime factors of 2 + -1 + 159 + 1? 7, 23 Let d(p) = -2*p + 11. Let u be d(-16). Let v = u - -6. What are the prime factors of v? 7 Let i be ((-30)/(-18))/(2/(-6)). Let f = i - -25. What are the prime factors of f? 2, 5 Let t = 66 + -25. What are the prime factors of t? 41 Let k(f) = -f. Let c(s) = -7*s + 1. Let m(q) = c(q) - 4*k(q). Let v(p) = p**3 + 6*p**2 + p + 4. Let o be v(-6). List the prime factors of m(o). 7 Let x(v) = -30*v. Let a be x(-1). Let j = -18 + a. Suppose -2*n - 2 = -j. List the prime factors of n. 5 Suppose 3*b - b - 66 = 2*j, 2*b = j + 71. List the prime factors of b. 2, 19 List the prime factors of (-11 + 4)*(-60)/14. 2, 3, 5 Let y = 0 + 21. List the prime factors of y. 3, 7 Suppose 3*y - 428 + 107 = 0. What are the prime factors of y? 107 Suppose 15 = 2*l - 147. List the prime factors of l. 3 Let l(c) = 3*c**2 + c - 4. List the prime factors of l(5). 2, 19 Let x(n) = -n - 6. Let w be x(-8). Suppose w*f - 3 = -s - 0*s, -5*s = -5*f. What are the prime factors of 16 + -3 + (-1)/s? 2, 3 Let p be 2/13 + (-1608)/(-26). Let c = -37 + p. List the prime factors of c. 5 Suppose 9*k - 4*k + 5 = 0. Let q(m) = m**3 + m**2 - m + 4. Let i be q(0). Let n = k + i. What are the prime factors of n? 3 Let m be (-3 - 0) + 4 + 1. Suppose -m*k + 2*u + 72 = 0, 3*k = 2*k - u + 36. List the prime factors of k. 2, 3 List the prime factors of (5 + 1)*(-6)/(-4). 3 Suppose -w = -5*d - 21, w - 5*w + 3*d = 1. List the prime factors of 14/w*-2 - -1. 2 Suppose -3*c = 3*x + 3, 2*c + 0*x - 12 = 5*x. Let y = 11 + c. List the prime factors of y. 2, 3 Suppose x + 5*u = 8, -u + 1 = -0. Suppose 41 = 2*y + x*y - 4*l, 13 = 2*y - 5*l. Suppose -2*h - y = -2*n + 19, 5*h + 2 = n. What are the prime factors of n? 17 Let d(q) = 10*q**2 + 3*q + 2. List the prime factors of d(4). 2, 3, 29 Suppose 10*b = 1128 + 1142. List the prime factors of b. 227 Let u(y) = -y**3 + 4*y**2 - 2*y. Let q be u(3). Suppose -x = 4*x - 2*m - 42, -q*m - 3 = 0. Let g = 19 - x. What are the prime factors of g? 11 Let i(q) = -q**2 + 6*q + 1. Let r be i(6). Let l = r + 2. What are the prime factors of l? 3 Suppose 0*r = -5*r + 55. Suppose r = 3*t - 1. Suppose -34 = t*z - 6*z. What are the prime factors of z? 17 Let v(i) = -i**3 - 2*i**2 + 3*i + 2. Let y be v(-3). Suppose 0 = 5*t + 5*w, -2*t + 4*w = y*t - 24. What are the prime factors of t? 3 Suppose 6*y = 10*y + 36. Let v = 3 - y. List the prime factors of (-67)/(-5) - v/(-20). 2, 7 Let t = 1 + 5. Let a be (-10)/(-6) + (-6)/(-18). Let b = t + a. What are the prime factors of b? 2 Let a(f) = -2*f**2 + 5*f - 3. Let d be a(5). Let l = -16 - d. List the prime factors of (8/12)/(2/l). 2 Let c(x) = -15*x**3 - x**2 - 2*x - 4. List the prime factors of c(-2). 2, 29 Let d(j) = -j - 7. Let a(f) = -1. Let b(g) = -12*a(g) + 3*d(g). Let z be b(-6). Suppose 0 = -0*k + 3*k - z. List the prime factors of k. 3 Let i be 426/18 + 1/3. Suppose x = -x + i. What are the prime factors of x? 2, 3 Let b(s) = s**2 - 11*s - 12. Let z be b(12). Suppose 2*v = n + 33, -2*v + z*v + 2*n = -28. What are the prime factors of v? 19 Let f(p) = p**3 + 7*p**2 - 9*p + 8. List the prime factors of f(-8). 2 Let y = 7 - 6. What are the prime factors of 9/(y*1/1)? 3 Let d be 4*((-2)/(-4) - 2). Let v = d + 8. List the prime factors of v. 2 Let d = -34 - -27. Let v be 1/(2/(-32)) - -1. Let s = d - v. List the prime factors of s. 2 Let u(d) = -5*d**2 + 2 + 0 + 4*d**2. Let g be u(0). Suppose z - 7 = -3*v + g, 3*z + 9 = 0. List the prime factors of v. 2 Let a = 197 + -137. What are the prime factors of a? 2, 3, 5 Suppose -p + 351 = 8*p. List the prime factors of p. 3, 13 What are the prime factors of 6/(-8) + 510/8? 3, 7 Let m(n) = -10*n. List the prime factors of m(-5). 2, 5 Suppose -m
{ "pile_set_name": "DM Mathematics" }
db (base 16) to base 5 -3400 Convert -12 (base 10) to base 5. -22 Convert -82055 (base 9) to base 7. -313265 What is 57b (base 12) in base 8? 1457 -4788 (base 10) to base 13 -2244 Convert 161 (base 11) to base 13. 116 124332 (base 5) to base 2 1001101100111 Convert 3946 (base 10) to base 13. 1a47 555 (base 7) to base 16 11d Convert -2134 (base 6) to base 9. -604 4078 (base 11) to base 13 2601 Convert -1160 (base 8) to base 11. -518 5399 (base 13) to base 3 120221022 -10341 (base 5) to base 13 -436 -314f (base 16) to base 6 -134235 Convert 11111302 (base 4) to base 6. 245134 What is d187 (base 15) in base 13? 17191 What is -664 (base 8) in base 16? -1b4 Convert -5622 (base 10) to base 4. -1113312 Convert -127 (base 9) to base 14. -78 Convert -21000000 (base 3) to base 14. -1c07 What is 1111021 (base 3) in base 11? 8a9 Convert -1021111 (base 3) to base 4. -32203 1001012 (base 3) to base 11 632 Convert a0a (base 11) to base 10. 1220 6282 (base 12) to base 9 15668 What is 1176 (base 8) in base 12? 452 -15215 (base 8) to base 13 -312b Convert 122435 (base 7) to base 8. 53765 What is -36174 (base 8) in base 4? -3301330 What is -c06 (base 14) in base 12? -1446 Convert -8ca (base 15) to base 10. -1990 4522 (base 8) to base 11 187a -ee0 (base 15) to base 12 -1b40 What is 632 (base 10) in base 12? 448 Convert 12146 (base 9) to base 3. 102011120 Convert 26a9 (base 11) to base 6. 24123 Convert -2000102201 (base 3) to base 7. -223456 What is 3467 (base 11) in base 8? 10706 Convert -4688 (base 13) to base 14. -3882 Convert -2524 (base 6) to base 11. -521 What is -8881 (base 11) in base 13? -5435 What is 13431 (base 7) in base 4? 321000 Convert -46b (base 13) to base 16. -2fd 6496 (base 11) to base 9 12677 Convert -194 (base 16) to base 15. -1be Convert -9155 (base 13) to base 14. -7416 Convert -103216 (base 7) to base 6. -215031 Convert 510 (base 8) to base 15. 16d Convert 94c7 (base 14) to base 11. 18303 Convert 361 (base 12) to base 13. 2cb -110210010 (base 3) to base 13 -431a 3536 (base 9) to base 13 126c -60728 (base 9) to base 6 -504555 What is -100101011 (base 2) in base 12? -20b 11001111111000 (base 2) to base 8 31770 27014 (base 8) to base 13 549a What is 11176 (base 9) in base 8? 16420 Convert 1d4a (base 14) to base 7. 21423 Convert -182b (base 15) to base 4. -1101200 What is 5562 (base 11) in base 14? 2956 Convert -13236 (base 9) to base 16. -22ef Convert -2180 (base 14) to base 13. -283b Convert 400 (base 15) to base 4. 32010 111100000000 (base 2) to base 14 1584 What is 371 (base 9) in base 8? 463 What is -40a (base 12) in base 10? -586 What is -3bb (base 12) in base 6? -2355 51248 (base 10) to base 7 302261 Convert 251 (base 14) to base 11. 391 What is 42430 (base 5) in base 16? b31 Convert 1430 (base 5) to base 3. 22220 Convert 100a (base 16) to base 5. 112411 What is 271 (base 14) in base 7? 1301 11022100 (base 3) to base 5 100031 Convert -46095 (base 10) to base 4. -23100033 -365254 (base 7) to base 5 -4113204 -1143 (base 9) to base 6 -3533 1ba (base 16) to base 7 1201 What is 6418 (base 10) in base 14? 24a6 Convert -15635 (base 9) to base 12. -6258 Convert -6582 (base 9) to base 14. -1aa9 4b64 (base 14) to base 15 3db5 Convert -11010101011110 (base 2) to base 10. -13662 What is 645 (base 12) in base 13? 557 Convert 1468 (base 12) to base 15. a8e 101111111 (base 2) to base 16 17f What is -12e (base 16) in base 15? -152 What is -33220 (base 4) in base 9? -1331 Convert -333313 (base 5) to base 14. -43a4 Convert 347 (base 10) to base 7. 1004 What is 1110001110111 (base 2) in base 11? 5525 1100001101010 (base 2) to base 12 374a What is -2412121 (base 5) in base 7? -244131 Convert -1837a (base 11) to base 13. -b93c 2741 (base 10) to base 2 101010110101 -c188 (base 14) to base 4 -20013130 What is -143 (base 8) in base 7? -201 10322032 (base 4) to base 12 b77a Convert 4130 (base 9) to base 3. 11011000 -1100101011 (base 2) to base 7 -2236 Convert -5377 (base 14) to base 7. -60010 30613 (base 8) to base 10 12683 Convert -6ba0 (base 12) to base 6. -131520 What is -16551 (base 9) in base 3? -120121201 What is 170f (base 16) in base 3? 22002122 Convert -221111 (base 5) to base 10. -7656 What is 11147 (base 10) in base 9? 16255 Convert 3438 (base 11) to base 4. 1012212 Convert -111101001111100 (base 2) to base 7. -160263 -42d (base 14) to base 2 -1100111001 -770 (base 9) to base 13 -396 Convert 1630 (base 7) to base 13. 3b8 What is -1352 (base 14) in base 9? -4602 Convert -1a55 (base 11) to base 16. -a29 12354 (base 6) to base 4 131032 Convert 357 (base 13) to base 8. 1103 1000 (base 2) to base 15 8 What is 323 (base 5) in base 15? 5d What is -510 (base 6) in base 12? -136 -26cc4 (base 13) to base 4 -101230230 -101001101100110 (base 2) to base 12 -10432 Convert -13301 (base 6) to base 5. -31203 Convert -424602 (base 7) to base 6. -1325110 Convert -1d1 (base 16) to base 3. -122020 Convert 622 (base 10) to base 4. 21232 Convert 412 (base 14) to base 7. 2222 Convert 2033 (base 7) to base 2. 1011000110 -110110110 (base 2) to base 5 -3223 Convert 3110 (base 13) to base 9. 10255 4020 (base 8) to base 13 c2a 2000120 (base 3) to base 8 2701 Convert 6b8 (base 14) to base 10. 1338 -8135 (base 13) to base 5 -1032124 3200 (base 9) to base 11 1846 Convert 2a6 (base 13) to base 3. 122120 -3478 (base 10) to base 11 -2682 Convert c50 (base 14) to base 5. 34142 What is -111331 (base 4) in base 10? -1405 Convert 35516 (base 8) to base 16. 3b4e Convert 12b8 (base 14) to base 16. ce2 119 (base 16) to base 7 551 42d6 (base 16) to base 11 11945 -62617 (base 8) to base 13 -baac What is 46333 (base 10) in base 8? 132375 What is -6584 (base 12) in base 11? -8451 Convert 40414 (base 5) to base 3. 10120122 Convert -250 (base 13) to base 5. -3103 What is -1000110100111110 (base 2) in base 5? -2124113 Convert -bf3 (base 16) to base 3. -11012022 1013103 (base 5) to base 11 1156a Convert 2255 (base 8) to base 12. 839 Convert 55 (base 12) to base 5. 230 -1100001011010 (base 2) to base 12 -3736 Convert 7b0 (base 14) to base 2. 10111110110 What is -4813 (base 11) in base 5? -200211 What is -11011111110 (base 2) in base 8? -3376 What is 100100010 (base 2) in base 7? 563 What is -2430044 (base 5) in base 4? -23021101 What is -21221 (base 4) in base 16? -269 4168 (base 12) to base 5 212021 Convert -6055 (base 12) to base 3. -112022102 bc1b (base 14) to base 7 163634 What is -29 (base 14) in base 10? -37 Convert -59c (base 14) to base 2. -10001011110 Convert 13210 (base 4) to base 13. 2b3 What is 481a (base 11) in base 9? 8584 Convert -23073 (base 11) to base 14. -c227 What is -1862 (base 15) in base 7? -21233 Convert -242 (base 6) to base 12. -82 Convert 3424 (base 10) to base 9. 4624 What is 102103 (base 4) in base 9? 1541 17c (base 13) to base 8 420 What is 520 (base 7) in base 9? 317 What is -101101111 (base 2) in base 7? -1033 What is -808 (base 10) in base 3? -1002221 Convert -53001 (base 7) to base 11. -9880 Convert -63b (base 12) to base 6. -4115 c55 (base 13) to base 3 2212201 What is -100001101101101 (base 2) in base 13? -7b1a What is 752 (base 15) in base 10? 1652 -3a (base 14) to base 10 -52 135331 (base 6) to base 5 402441 What is -2477 (base 12) in base 3? -12122201 4103 (base 6) to base 10 903 Convert 22840 (base 11) to base 10. 32956 What is 17a0 (base 11) in base 9? 3122 What is 1120122220 (base 3) in base 2? 111100101111101 13040 (base 5) to base 15 480 What is -4223 (base 6) in base 2? -1110110111 What is -124200 (base 6) in base 2? -10110000101000 Convert 1201222 (base 3) to base 6. 5512 Convert -179a (base 11) to base 5. -33122 Convert -50 (base 15) to base 10. -75 Convert 330 (base 16) to base 10. 816 Convert -24b (base 15) to base 9. -638 Convert -4cd7 (base 15) to base 12. -95aa What is 102220 (base 4) in base 6? 5304 What is 27a8 (base 12) in base 9? 6262 What is -1420 (base 10) in base 16? -58c What is 10546 (base 9) in base 8? 15540 What is 45 (base 12) in base 14? 3b 607 (base 16) to base 2 11000000111 -1011011010010101 (base 2) to base 7 -253162 Convert -2150 (base 12) to base 14. -1496 Convert 520 (base 13) to base 4. 31213 Convert 211321 (base 4) to base 16. 979 2d64 (base 15) to base 5 303034 Convert 110255 (base 6) to base 15. 2abe Convert -503 (base 12)
{ "pile_set_name": "DM Mathematics" }
minutes are there between 11:34 AM and 5:41 PM? 367 How many minutes are there between 3:22 PM and 10:12 PM? 410 How many minutes are there between 9:45 AM and 8:37 PM? 652 How many minutes are there between 5:09 AM and 12:03 PM? 414 What is 341 minutes after 4:11 AM? 9:52 AM What is 90 minutes after 6:42 PM? 8:12 PM How many minutes are there between 8:53 AM and 7:24 PM? 631 How many minutes are there between 7:50 PM and 3:15 AM? 445 How many minutes are there between 3:44 PM and 8:35 PM? 291 What is 525 minutes before 2:07 PM? 5:22 AM What is 71 minutes before 6:59 PM? 5:48 PM How many minutes are there between 10:46 AM and 11:19 AM? 33 How many minutes are there between 1:35 AM and 3:32 AM? 117 How many minutes are there between 7:05 AM and 10:19 AM? 194 What is 289 minutes after 8:15 AM? 1:04 PM How many minutes are there between 9:40 PM and 12:46 AM? 186 How many minutes are there between 6:25 AM and 1:48 PM? 443 What is 328 minutes after 1:31 AM? 6:59 AM What is 103 minutes after 11:27 PM? 1:10 AM What is 304 minutes after 12:03 AM? 5:07 AM How many minutes are there between 1:17 PM and 4:41 PM? 204 How many minutes are there between 5:51 PM and 4:48 AM? 657 How many minutes are there between 1:10 PM and 11:06 PM? 596 What is 445 minutes after 8:24 AM? 3:49 PM How many minutes are there between 2:10 AM and 12:41 PM? 631 How many minutes are there between 6:30 PM and 4:18 AM? 588 What is 697 minutes after 12:22 AM? 11:59 AM How many minutes are there between 12:41 PM and 1:48 PM? 67 How many minutes are there between 6:56 AM and 6:21 PM? 685 How many minutes are there between 2:05 AM and 12:21 PM? 616 How many minutes are there between 5:51 AM and 8:44 AM? 173 How many minutes are there between 10:48 PM and 1:33 AM? 165 How many minutes are there between 3:17 AM and 9:48 AM? 391 What is 60 minutes before 5:39 AM? 4:39 AM What is 371 minutes before 10:20 AM? 4:09 AM What is 591 minutes after 7:45 AM? 5:36 PM How many minutes are there between 12:33 AM and 11:04 AM? 631 How many minutes are there between 8:18 PM and 2:52 AM? 394 What is 428 minutes before 8:44 AM? 1:36 AM What is 98 minutes after 3:37 AM? 5:15 AM How many minutes are there between 2:45 PM and 7:15 PM? 270 What is 253 minutes after 4:12 PM? 8:25 PM What is 342 minutes after 7:38 PM? 1:20 AM How many minutes are there between 3:03 AM and 3:22 AM? 19 What is 448 minutes after 1:20 AM? 8:48 AM How many minutes are there between 11:23 AM and 8:42 PM? 559 How many minutes are there between 7:01 PM and 2:51 AM? 470 What is 472 minutes before 12:19 PM? 4:27 AM How many minutes are there between 1:24 PM and 3:59 PM? 155 What is 481 minutes after 3:11 PM? 11:12 PM What is 680 minutes before 6:31 PM? 7:11 AM What is 667 minutes before 10:27 AM? 11:20 PM How many minutes are there between 1:34 AM and 12:26 PM? 652 What is 641 minutes before 8:49 PM? 10:08 AM What is 560 minutes before 5:58 AM? 8:38 PM How many minutes are there between 8:00 PM and 6:24 AM? 624 What is 552 minutes before 2:22 PM? 5:10 AM What is 52 minutes after 11:41 PM? 12:33 AM What is 293 minutes after 1:46 AM? 6:39 AM What is 244 minutes after 9:09 AM? 1:13 PM How many minutes are there between 12:03 AM and 10:28 AM? 625 What is 406 minutes after 8:39 PM? 3:25 AM What is 155 minutes after 3:57 PM? 6:32 PM How many minutes are there between 2:15 PM and 8:41 PM? 386 How many minutes are there between 4:31 PM and 9:54 PM? 323 How many minutes are there between 10:41 AM and 4:54 PM? 373 What is 264 minutes after 7:11 PM? 11:35 PM What is 680 minutes before 4:42 PM? 5:22 AM How many minutes are there between 3:09 PM and 11:34 PM? 505 What is 699 minutes after 1:01 PM? 12:40 AM What is 549 minutes before 6:04 PM? 8:55 AM How many minutes are there between 7:24 AM and 11:21 AM? 237 How many minutes are there between 3:21 PM and 6:36 PM? 195 How many minutes are there between 6:00 PM and 12:27 AM? 387 What is 439 minutes before 3:14 PM? 7:55 AM What is 639 minutes before 7:32 PM? 8:53 AM How many minutes are there between 3:38 PM and 2:42 AM? 664 What is 337 minutes after 10:24 AM? 4:01 PM What is 568 minutes after 8:40 AM? 6:08 PM How many minutes are there between 11:50 AM and 1:07 PM? 77 What is 710 minutes after 9:33 AM? 9:23 PM What is 706 minutes after 7:15 PM? 7:01 AM How many minutes are there between 4:43 PM and 12:48 AM? 485 How many minutes are there between 5:53 AM and 5:48 PM? 715 How many minutes are there between 3:47 AM and 1:46 PM? 599 How many minutes are there between 5:57 PM and 3:43 AM? 586 What is 402 minutes before 2:00 PM? 7:18 AM What is 345 minutes after 6:31 AM? 12:16 PM What is 325 minutes after 9:54 AM? 3:19 PM How many minutes are there between 5:58 AM and 11:03 AM? 305 How many minutes are there between 12:48 AM and 5:08 AM? 260 How many minutes are there between 4:14 AM and 5:46 AM? 92 How many minutes are there between 6:18 AM and 3:02 PM? 524 How many minutes are there between 7:30 AM and 7:29 PM? 719 How many minutes are there between 4:27 PM and 9:58 PM? 331 What is 123 minutes after 11:15 PM? 1:18 AM How many minutes are there between 4:36 PM and 7:00 PM? 144 What is 91 minutes before 12:32 AM? 11:01 PM How many minutes are there between 7:05 PM and 8:34 PM? 89 What is 167 minutes before 7:52 AM? 5:05 AM What is 149 minutes before 7:57 PM? 5:28 PM What is 474 minutes after 10:33 PM? 6:27 AM What is 331 minutes after 3:59 AM? 9:30 AM How many minutes are there between 8:15 AM and 8:25 AM? 10 How many minutes are there between 2:01 AM and 7:01 AM? 300 What is 502 minutes after 12:05 AM? 8:27 AM How many minutes are there between 2:56 AM and 2:11 PM? 675 How many minutes are there between 10:11 PM and 9:15 AM? 664 What is 446 minutes before 7:06 AM? 11:40 PM What is 480 minutes after 5:52 PM? 1:52 AM What is 582 minutes after 1:30 PM? 11:12 PM What is 505 minutes before 5:19 PM? 8:54 AM How many minutes are there between 1:59 AM and 10:04 AM? 485 What is 315 minutes after 7:44 PM? 12:59 AM What is 630 minutes after 4:21 AM? 2:51 PM What is 39 minutes after 11:26 PM? 12:05 AM What is 132 minutes after 9:36 PM? 11:48 PM What is 260 minutes after 7:02 AM? 11:22 AM What is 97 minutes after 5:47 PM? 7:24 PM What is 558 minutes after 8:46 AM? 6:04 PM How many minutes are there between 8:18 AM and 9:21 AM? 63 How many minutes are there between 1:54 PM and 7:25 PM? 331 What is 337 minutes after 11:44 PM? 5:21 AM How many minutes are there between 8:41 PM and 8:47 PM? 6 What is 243 minutes after 9:40 PM? 1:43 AM What is 367 minutes after 3:23 AM? 9:30 AM How many minutes are there between 2:09 AM and 10:59 AM? 530 What is 123 minutes before 3:25 PM? 1:22 PM How many minutes are there between 10:06 AM and 10:15 AM? 9 How many minutes are there between 10:41 AM and 10:53 AM? 12 What is 492 minutes after 6:26 PM? 2:38 AM How many minutes are there between 7:43 PM and 12:17 AM? 274 How many minutes are there between 4:58 PM and 6:34 PM? 96 What is 184 minutes before 1:09 PM? 10:05 AM What is 127 minutes before 10:46 AM? 8:39 AM What is 408 minutes before 11:59 PM? 5:11 PM How many minutes are there between 12:03 AM and 2:36 AM? 153 What is 231 minutes before 10:33 AM? 6:42 AM How many minutes are there between 6:00 PM and 5:40 AM? 700 How many minutes are there between 1:19 AM and 3:48 AM? 149 How many minutes are there between 5:26 AM and 6:01 AM? 35 What is 41 minutes before 5:47 PM? 5:06 PM How many minutes are there between 9:40 AM and 10:49 AM? 69 How many minutes are there between 1:05 PM and 6:32 PM? 327 How many minutes are there between 2:55 AM and 1:55 PM? 660 How many minutes are there between 4:56 AM and 9:47 AM? 291 How many minutes are there between 4:20 AM and 12:13 PM? 473 What is 539 minutes before 12:15 PM? 3:16 AM What is 704 minutes before 6:41 PM? 6:57 AM How many minutes are there between 3:41 AM and 5:53 AM? 132 How many minutes are there between 8:36 AM and 1:38 PM? 302 How many minutes are there between 11:52 AM and 5:01 PM? 309 What is 406 minutes after 3:59 PM? 10:45 PM How many minutes are there between 4:35 AM and 11:38 AM? 423 What is 586 minutes after 3:31 PM? 1:17 AM What is 6 minutes after 9:57 PM? 10:03 PM How many minutes are there between 7:26 PM and 4:50 AM? 5
{ "pile_set_name": "DM Mathematics" }
56985*j**3 - 15205230*j**2 + 14933520*j = 0 for j. -42, 0, 1, 24, 2963 What is s in -2*s**3 + 15058*s**2 - 749150*s + 9348750 = 0? 25, 7479 Determine i, given that -4*i**3 + 19268*i**2 + 4*i - 19268 = 0. -1, 1, 4817 Solve y**2 - 361302*y - 48793995 = 0. -135, 361437 Factor -3*u**2/7 - 4109109*u/7 + 45200562/7. -3*(u - 11)*(u + 1369714)/7 Factor -5*u**2 + 5878520*u + 11757060. -5*(u - 1175706)*(u + 2) Solve -3*p**4 - 17706*p**3 + 767373*p**2 + 2779776*p - 14767380 = 0. -5945, -6, 3, 46 Solve 3*u**2/2 + 183477*u + 1100835/2 = 0. -122315, -3 Factor 2*q**2/11 + 97208926*q/11 + 97208924/11. 2*(q + 1)*(q + 48604462)/11 Determine c, given that -2*c**2 - 201976964*c - 5099336748332162 = 0. -50494241 Suppose -54*l**5/5 + 343746*l**4/5 - 251958*l**3 + 725286*l**2/5 - 114516*l/5 = 0. Calculate l. 0, 1/3, 3, 6362 Determine t, given that 3*t**2 - 1579077*t - 1579080 = 0. -1, 526360 Factor -c**3/8 + 152543*c**2/8 - 5817112891*c/8 - 17452711587/8. -(c - 76273)**2*(c + 3)/8 Determine g, given that -2*g**3/3 + 71768902*g**2/3 - 214615625300416*g - 214615649223384 = 0. -1, 17942226 Factor 4*u**2 + 15405304*u + 14832711958276. 4*(u + 1925663)**2 What is o in -o**3 + 5088295*o**2 + 40706408*o + 81412848 = 0? -4, 5088303 Determine f, given that 660*f**4 - 33962276*f**3 - 136062872*f**2 - 136683056*f - 823392 = 0. -2, -1/165, 51462 Factor 3*f**2/7 + 846819*f. 3*f*(f + 1975911)/7 Let -4*z**4 - 37908*z**3 - 2938572*z**2 - 57183516*z = 0. What is z? -9399, -39, 0 Determine p, given that 38*p**3 - 10075*p**2 - 61628*p - 51515 = 0. -5, -1, 10303/38 Factor -4*g**4 + 31884*g**3 - 32499036*g**2 - 136326056940*g. -4*g*(g - 4743)**2*(g + 1515) Suppose 5*n**2 - 20001650*n - 40003320 = 0. Calculate n. -2, 4000332 What is k in 3*k**5/5 + 111*k**4 + 32547*k**3/5 + 570429*k**2/5 - 1275534*k/5 = 0? -79, -69, -39, 0, 2 Solve -2*s**4 - 1260*s**3 + 135718*s**2 - 1469880*s + 2407000 = 0 for s. -725, 2, 10, 83 Determine o, given that -5*o**2 + 59810*o - 49321305 = 0. 891, 11071 Determine z so that z**2 - 54290*z + 2061576 = 0. 38, 54252 Solve -14*g**5/17 + 1322*g**4/17 + 13374*g**3/17 - 1963618*g**2/17 + 27071440*g/17 - 25122504/17 = 0 for g. -41, 1, 22, 633/7 Suppose 3*c**5 + 840*c**4 - 33096*c**3 - 5862*c**2 + 236565*c - 198450 = 0. Calculate c. -315, -3, 1, 2, 35 Suppose 247*z**2/2 + 230675*z/4 - 10741/4 = 0. What is z? -467, 23/494 Suppose -c**3 + 25768290*c**2 - 166001166612732*c - 332002436298632 = 0. What is c? -2, 12884146 Determine x so that -268*x**3/3 + 658066*x**2/3 - 1295432*x/3 - 39256/3 = 0. -2/67, 2, 4907/2 Factor 16562*q**3/15 + 46920874*q**2/15 + 2062432*q/15 + 22664/15. 2*(q + 2833)*(91*q + 2)**2/15 Solve -2*m**4/7 - 100*m**3/7 + 246462*m**2/7 + 493216*m/7 + 246656/7 = 0 for m. -376, -1, 328 Find k, given that 2*k**2/21 - 42208*k/21 + 20720682/7 = 0. 1593, 19511 Factor 5*x**3 - 85775*x**2 + 359361875*x + 73374234375. 5*(x - 8675)**2*(x + 195) What is t in -t**4/9 + 10*t**3/9 + 131*t**2/9 - 596*t/3 + 572 = 0? -13, 6, 11 What is v in -2*v**3 - 84*v**2/5 + 1674*v/5 - 972/5 = 0? -18, 3/5, 9 What is a in a**2 - 148306164*a + 148306163 = 0? 1, 148306163 Factor 2*l**3/3 + 32349434*l**2/3 - 64698874*l/3 + 10783146. 2*(l - 1)**2*(l + 16174719)/3 What is s in -2*s**3 + 31821082*s**2 - 127284304*s + 127284296 = 0? 2, 15910537 Factor 2*a**4/9 - 20033722*a**3/9 + 6677906*a**2 - 60101150*a/9 + 20033716/9. 2*(a - 10016858)*(a - 1)**3/9 Factor -6*w**2/7 - 683926*w/7 - 15499240/7. -2*(w + 113965)*(3*w + 68)/7 Factor -3*j**2/5 + 567741*j/5 - 1135422. -3*(j - 189237)*(j - 10)/5 Suppose 50*v**4 - 2022*v**3 - 34062*v**2 + 39878*v + 71868 = 0. Calculate v. -339/25, -1, 2, 53 Suppose 21*i**5/8 - 11387*i**4/8 - 77871*i**3/8 - 48213*i**2/8 + 123625*i/4 - 13725 = 0. Calculate i. -5, -10/3, 4/7, 1, 549 Determine b so that -b**5 - 1264*b**4 + 79898*b**3 + 607124*b**2 + 969503*b + 443540 = 0. -1324, -5, -1, 67 Factor 2*l**3 - 9138*l**2 + 182088*l - 582272. 2*(l - 4549)*(l - 16)*(l - 4) Determine c, given that -2*c**3/11 + 662*c**2 + 235010*c/11 + 227726/11 = 0. -31, -1, 3673 Determine n so that -3*n**5 - 5070*n**4 - 544983*n**3 - 16414296*n**2 - 71056764*n - 55182384 = 0. -1577, -54, -4, -1 Find y such that 5*y**5 + 14330*y**4 + 9887830*y**3 - 544389380*y**2 + 6630826725*y + 15518084490 = 0. -1459, -2, 27 Let -4*n**5 + 24768*n**4 - 21284224*n**3 - 52807357440*n**2 - 18183060505600*n = 0. Calculate n. -580, 0, 3676 Let -5*z**2/4 - 15135*z/4 + 423775/2 = 0. What is z? -3082, 55 Suppose d**5/5 - 339*d**4 - 95853*d**3/5 - 138749*d**2 - 1757904*d/5 - 296100 = 0. Calculate d. -47, -3, -2, 1750 Find f, given that -f**2/3 - 130977838*f/3 - 4288798511788561/3 = 0. -65488919 Solve -3*f**5/2 - 2469*f**4 - 237315*f**3/2 - 2049996*f**2 - 14440902*f - 31927224 = 0 for f. -1597, -17, -14, -4 What is c in 17840471618*c**3/3 - 231936331310*c**2/3 + 44201682*c - 6318 = 0? 27/94447, 13 Suppose 4*c**3 + 90200*c**2 + 510211968*c + 19258025472 = 0. Calculate c. -11256, -38 Factor b**3 + 10621*b**2 + 7258320*b + 1283169600. (b + 360)**2*(b + 9901) Suppose -2*i**4 + 998*i**3 - 112500*i**2 + 2269224*i + 7847280 = 0. Calculate i. -3, 30, 126, 346 Suppose -5*d**5/4 + 2865*d**4/4 + 29465*d**3/2 + 110235*d**2/2 - 629165*d/4 + 346905/4 = 0. Calculate d. -13, -9, 1, 593 Factor -u**2/3 + 54029*u/3 + 2455480. -(u - 54165)*(u + 136)/3 Find u such that -1014*u**3/11 + 2228304*u**2/11 - 54475290*u + 3924521172 = 0. 1947/13, 1898 Let 5*c**4 + 46100*c**3 + 108889140*c**2 + 12066259520*c + 109819731200 = 0. What is c? -4552, -106, -10 Let -1943*p**3 - 85475*p**2 - 939664*p + 8228 = 0. What is p? -22, 17/1943 Find s, given that s**2/10 + 57852923*s/5 + 3346960699643929/10 = 0. -57852923 Determine l, given that -4*l**3 + 239716*l**2 - 3598546220*l + 211480597100 = 0. 59, 29935 Determine z so that z**2/4 + 114071*z/2 - 2966015/4 = 0. -228155, 13 Let -3*p**2 + 122181*p + 5381772 = 0. What is p? -44, 40771 Find r, given that -r**4 - 31487*r**3 + 346618*r**2 + 4409948*r + 7181544 = 0. -31498, -6, -2, 19 Find f, given that 2*f**3 - 15164*f**2 + 3410400*f = 0. 0, 232, 7350 Suppose 3*z**2 - 361986*z + 723960 = 0. Calculate z. 2, 120660 Factor 2*a**2/3 - 3142*a/3 - 2454928. 2*(a - 2859)*(a + 1288)/3 Let r**2/7 + 72858*r/7 + 9019016/7 = 0. Calculate r. -72734, -124 What is b in 3*b**4 - 16581*b**3 + 12314829*b**2 - 2469616587*b = 0? 0, 419, 4689 Let -1029*c**4/5 + 51454*c**3/5 - 128665*c**2 + 500*c = 0. Calculate c. 0, 4/1029, 25 What is b in -5*b**5/4 - 747315*b**4/4 - 24657225*b**3/4 - 190521805*b**2/4 + 107963175*b/2 = 0? -149430, -17, 0, 1 Find y such that -y**5/3 + 155*y**4/3 - 389*y**3 - 441*y**2 = 0. -1, 0, 9, 147 Suppose -845*o**5 + 703625*o**4 + 125643290*o**3 + 163331500*o**2 + 41344680*o + 2952000 = 0. Calculate o. -150, -1, -2/13, 984 What is q in 2*q**2/13 + 6807120*q/13 - 47649938/13 = 0? -3403567, 7 Factor h**2 + 297494*h - 5057687. (h - 17)*(h + 297511) Factor d**3/4 - 3517*d**2/4 - 37097*d/2 - 91988. (d - 3538)*(d + 8)*(d + 13)/4 Let k**2/2 - 3487*k + 6973/2 = 0. What is k? 1, 6973 Factor -5*q**4 + 665400*q**3 - 22155151640*q**2 + 1150718805600*q - 14953499222480. -5*(q - 66514)**2*(q - 26)**2 Let 4*r**5 + 2424*r**4 - 393900*r**3 - 233725648*r**2 + 35274504720*r + 296943004800 = 0. Calculate r. -494, -8, 195 Factor -i**2/4 + 7631*i/2 - 76285/4. -(i - 15257)*(i - 5)/4 Suppose 3*t**3/7 + 1896*t**2 - 454617*t/7 + 441342/7 = 0. What is t? -4458, 1, 33 Solve -12*v**5/7 + 46532*v**4/7 + 1764724*v**3 - 20965652*v**2/7 - 66110080*v/7 + 49722096/7 = 0 for v. -251, -2, 2/3, 3, 4127 Suppose -v**5/5 - 9324*v**4/5 - 27963*v**3/5 = 0. What is v? -9321, -3, 0 Factor -3*i**2 + 89819256*i - 672291562366128. -3*(i - 14969876)**2 Find r, given that r**3/12 + 118*r**2/3 + 12403*r/12 - 1073 = 0. -444, -29, 1 Suppose r**5 + 730*r**4 - 10412*r**3 + 3102*r**2 + 93627*r - 87048 = 0. Calculate r. -744, -3, 1, 3, 13 Suppose 6*w**3/11 + 21282*w**2/11 + 1174506*w/11 + 5341230/11 = 0. Calculate w. -3491, -51, -5 Factor -5*l**3 + 4405*l**2 - 186555*l + 2021355. -5*(l - 837)*(l - 23)*(l - 21) Factor z**4 + 384*z**3 + 10125*z**2 - 60350*z. z*(z - 5)*(z + 34)*(z + 355) Suppose -48778*a**4/5 + 147836026*a**3 + 152940780*a**2 + 52739000*a + 6062000 = 0. What is a? -10/29, 15155 Factor -2*i**2/17 + 5962792*i/17 - 4444361054408/17. -2*(i - 1490698)**2/17 Deter
{ "pile_set_name": "DM Mathematics" }
ands digit of ((-30)/4)/(-15)*s? 1 Let m(z) = 5*z - 28 - 10*z + 2*z + 6*z. Let u be m(11). Suppose r + 484 = 3*t - 4*r, u*r + 25 = 0. What is the units digit of t? 3 Let i = -160 + 53. Let g = 1084 - 891. Let p = g + i. What is the tens digit of p? 8 Suppose -2*o + 5*k + 946 + 16184 = 0, -34290 = -4*o - 5*k. What is the units digit of o? 0 Let o = 3795 + 7755. Suppose 344*t - 338*t = o. What is the tens digit of t? 2 Let y be (2 + -159809)/((-13 - 5)/6). Suppose -1942 = -31*d + y. What is the thousands digit of d? 1 Let g(n) = 71*n**2 + 94*n + 243. What is the tens digit of g(-21)? 8 Suppose 158*r - 8559144 = -106*r. What is the tens digit of r? 2 Let q(f) = 6*f**3 + 2*f. Let j be q(4). Let z = j + -155. Suppose -3*g + z = 60. What is the units digit of g? 9 Let b(n) = 5*n - 43. Let l be b(37). Let s = l + -16. What is the units digit of s? 6 Suppose -4*d - 114 = -5*d. Suppose 0 = -3*q - 2*o + 104, 7*o + d = 3*q + 4*o. Suppose 97 = a - q. What is the tens digit of a? 3 Let y(k) = -1411*k - 137. What is the tens digit of y(-14)? 1 Let b = -1126 + -116. Let n = 1777 + b. What is the hundreds digit of n? 5 Let w be 26 + -26 - (-66)/1. Suppose -945 = w*h - 69*h. What is the units digit of h? 5 Let a(m) = -14*m - 60. Let w be a(-9). Suppose -w = -g + 50. What is the hundreds digit of g? 1 Let r = 63 + -60. Let y be r/(12/(-8) + 3). Suppose 130 = y*g + o, 0 = 2*g - 5*o - 176 + 22. What is the units digit of g? 7 Let m(a) = a + 3. Let c be m(-3). Let t(y) = y**2 - 2*y + 44. What is the tens digit of t(c)? 4 Let y(n) = -n**3 + 4*n + 4056. Let b be y(0). Suppose -8*m + b = 1216. What is the hundreds digit of m? 3 What is the units digit of ((-20)/8)/5*-35798 + -5 + 3? 7 Let p(t) = t**3 - 2*t**2 - 4*t. Let s be p(-3). Let g = s + 35. Suppose g*l + 4 = 28. What is the units digit of l? 2 What is the hundreds digit of (-596)/894 - 107008/(-6)? 8 What is the hundreds digit of 24/(-312) - (-551256)/52? 6 Let p(t) = 1413*t**3 + 2*t**2 + 11*t - 12. What is the units digit of p(1)? 4 Let x = -217 - -236. Let w(g) = -g**3 - 7*g**2 - 9*g - 6. Let o be w(-7). Let n = o + x. What is the units digit of n? 6 Let m(j) = -j**2 - 306*j + 14. What is the hundreds digit of m(-15)? 3 Suppose 0 = -3*s - 2*y + 44 - 1007, -s - 332 = -3*y. Let l = s + 426. What is the hundreds digit of l? 1 Let x = 383 + -359. Suppose x*b - b - 26197 = 0. What is the tens digit of b? 3 Let t(q) = 2*q**3 - 4*q**2 + 3*q - 1. Let n be t(2). Let y be 5 + -3 + n + 13. What is the units digit of 1 + -1 - (y + -72)? 2 Let w = 28 + 83. Suppose 0 = -9*y + 87 + w. What is the units digit of y? 2 Let s(p) = 338*p**2 - 4*p + 115. What is the ten thousands digit of s(-11)? 4 Suppose 6*k - 16 = 2*k. Suppose v = -k*v + 295. Suppose 0 = 5*d - v - 351. What is the tens digit of d? 8 Suppose -610 + 610 = 2*k. Let u(f) = 26*f + 4. Let i be u(3). Suppose k = -5*l + 2*m + 436, 5*m - 247 = -4*l + i. What is the units digit of l? 6 Suppose 2*q + q + 33 = 0. Let y(o) = 19 - 8*o**2 - 13*o**2 + 2*o + 22*o**2. What is the hundreds digit of y(q)? 1 Let q = -55 - -118. Let l = q + -71. What is the units digit of ((-308)/l - 1)*2? 5 Let w(z) = -29*z + 48. Let r be w(1). Suppose -r*p + 10*p = -11430. What is the units digit of p? 0 Let b(f) = -f**2 + 4*f + 4. Suppose -2*k + 5*k + 5*q - 34 = 0, q = -4*k + 17. Let s be b(k). What is the hundreds digit of (104/5)/(s + (-136)/20)? 1 Let k = 642 - -21977. What is the ten thousands digit of k? 2 Let d be (2 + 52/10)*(-22 - -2). What is the tens digit of (4/(48/(-153)))/(3/d)? 1 Suppose n = -4*z + 1213, -3*n + 3699 = z - 4*z. Suppose 115 + n = 2*k. What is the hundreds digit of k? 6 Let z(j) = -j**2 + 57*j - 361. Let f be z(45). Let y = f - -619. What is the units digit of y? 8 Suppose -k + 3*u + 4 = -3*k, -2*u - 16 = -2*k. Suppose -5*c + 3*i - k*i + 4365 = 0, -4*c = 3*i - 3492. What is the units digit of c? 3 Suppose -i + 10 = -3*d, 5*d = 2*i + 4 - 26. Let a be (4 + (-60)/i)*8. What is the tens digit of 1309/14 + 1/a? 9 Let f(t) = 6*t**2 - 9*t + 40. Let u be f(9). Suppose -4*d + 1368 = 4*k - k, k - u = -5*d. What is the hundreds digit of k? 4 Let m(y) = -y**2 + 5*y + 5. Let b be m(5). Suppose q - 5*q + b*n = -240, 49 = q - 4*n. Let a = 25 + q. What is the tens digit of a? 9 Suppose -w - w - 5*d = -71701, 3*w - 107540 = 4*d. What is the thousands digit of w? 5 Suppose 0 = -g + 4*n - 51, 3*g - 2*n = 2*g - 41. Let s = 33 + g. Let o(l) = 3*l**2 - 2*l + 2. What is the units digit of o(s)? 0 Suppose 200*z - 58356 = 194*z. What is the hundreds digit of z? 7 What is the thousands digit of (-11775348)/(-650) - 12/(-150)? 8 Suppose -67507 = -3*g - 3*c + 17093, -3*c + 28202 = g. What is the tens digit of g? 9 Suppose -5*w + 45 = -l - 13, 4*l + 202 = 5*w. What is the units digit of (-6)/8 - 1716/l? 5 Suppose -2*a = -4*o + 444, 4*o - 301 = -3*a + 123. Suppose 11*m - 34 = o. Suppose m*l - 875 = 6*l. What is the tens digit of l? 2 Suppose 5*f - 158 = 4*q - 2121, -f - 2*q - 387 = 0. What is the tens digit of (-20)/(-15)*(-12)/8 - f? 8 Let f = -2309 + 315. Let p = -673 - f. What is the thousands digit of p? 1 Let z = 313 - 475. Let u = z - -337. Let j = u - -91. What is the units digit of j? 6 What is the units digit of (-2210)/(-119) + -18 + 54144/14? 8 Let g(h) = -h**3 + 7*h**2 + 9*h - 4. Let y be g(8). Suppose 0 = -r + 4, 3*k - y*k + 101 = 5*r. Let l = 145 - k. What is the tens digit of l? 6 Let k be (14232/18)/((-4)/(-9)). Suppose g - 3*p - 367 + 0 = 0, 5*g = p + k. What is the units digit of g? 5 What is the tens digit of 866*(84/(-7) + 14)? 3 Let f = 298 + -297. What is the hundreds digit of ((-198)/165)/(f/(-505))? 6 Suppose -5*d - 15017 + 1910 = -2*r, 0 = 6*d - 30. What is the thousands digit of r? 6 What is the ten thousands digit of 45752 - ((154/55)/14)/(2/40)? 4 Let c be ((-34)/(-10))/(-1 + (-6)/(-5)). Let f(y) = -y**3 + 18*y**2 - 15*y - 13. Let s be f(c). Let o = s + 18. What is the units digit of o? 9 Suppose -3*f - 2 = 5*u, f = 5*f + 16. Let p be 9128/(-63) + u/(-18). Let t = -4 - p. What is the tens digit of t? 4 Suppose -698168 + 5721865 = 197*l. What is the thousands digit of l? 5 Suppose 0 = 4*s - 660 + 644. Suppose -5*g + 6*g - 20 = s*h, -5*g + 176 = -h. What is the units digit of g? 6 What is the thousands digit of (3047/5)/(54/270)? 3 Let t be ((-75)/20 - -2) + 3/(-12). What is the tens digit of ((-55)/(-3) + t)/(3/153)? 3 What is the hundreds digit of 2 + 7 + (6220 - 147)? 0 Let b(r) = 66*r**2 + 110*r - 795. What is the hundreds digit of b(7)? 2 Let k be (4 - -1)*4/(-5). Let n be -92 + 4/k + -3. Let a = 145 + n. What is the tens digit of a? 4 Let o(r) be the third derivative of -95*r**4/12 - 31*r**3/6 + 51*r**2 - 2*r. What is the hundreds digit of o(-3)? 5 Let m be (-5)/(1/(-472)*10). Let p(z) = 26*z - 2. Let x be p(-5). Let k = x + m. What is the hundreds digit of k? 1 Let c(k) = 12*k**2 + 9*k + 1. Suppose 2*s + 4*f - 106 = 0, 0 = -7*s + 8*s + 3*f - 58. Suppose 8*q - 11 + s = 0. What is the hundreds digit of c(q)? 1 Suppose -5*q = 5*l - 20445, 0 = q + 5 - 6. Suppose 4*m - l = -1580. What is the units digit of m? 7 Let v(l) = -l**3 - 25*l**2 - 27*l + 40. Let m be v(-24). What is the units digit of 1/1*(m - 1)? 1 Suppose -2*d = 2*d - 16. Let s(g) = 17*g - 15 - d*g + 4*g**2 - 2*g**2 + 0*g. What is the units digit of s(-8)? 9 Let s = 564 + -562. Let v(i) = 766*i - 33. What is the thousands digit of v(s)? 1 Let n be 25/50*(18 + 0). Suppose 0 = 3*x - 12, 5*l + n*x - 4925 = 4*x. What is the hundreds digit of l? 9 Suppose -5*r + 0 = 15, -3*n = -5*r - 45. Let k = n - 289. Let g = k + 474. What is the units digit of g? 5 Let o(x) = 6330*x + 35. Let m be o(1). Suppose -1325 = 15*l - m. What is the units digit of l? 6 Let j(q) = q**3 - 12*q**2 + 11*q + 3. Let k be j(11). Suppose 4*g - k*g = -5. What is the tens digit of ((-106)/g)/((-2)/(-5))? 5 Let k(o) = -4*o**2 - 3*o - 4. Let c be k(-3). Let v = c + 33. What is the tens digit of ((-14)/35)/(v/(-390))? 7 Let h(l) = -l**2 + 5*l. Let t be h(5). Let w(o) = 3 + 5 + t*o - 3*o + 2*o**2 - 3. What is the units digit of w(-6)? 5 Let w(i) = -2*i**3 - 10*i**2 + 11*i + 1. Let o be w(-6). What is the hundreds digit of 1027 + (10/14)/(1/o)? 0 Let g be ((-4)/3)/(90/53595). Let x = g - -1314. What is the hundreds digit of x? 5 What is the ten
{ "pile_set_name": "DM Mathematics" }
2, 3, 29, 71 List the prime factors of 337747. 67, 71 What are the prime factors of 300101? 17, 127, 139 What are the prime factors of 295610? 2, 5, 7, 41, 103 What are the prime factors of 2409320? 2, 5, 29, 31, 67 List the prime factors of 425077. 71, 5987 What are the prime factors of 246250? 2, 5, 197 List the prime factors of 1476444. 2, 3, 61, 2017 List the prime factors of 1851888. 2, 3, 41, 941 List the prime factors of 759248. 2, 7, 6779 List the prime factors of 231427. 7, 4723 List the prime factors of 6103036. 2, 347, 4397 List the prime factors of 5290602. 2, 3, 47, 73, 257 List the prime factors of 1969776. 2, 3, 13679 What are the prime factors of 174565? 5, 34913 What are the prime factors of 1028658? 2, 3, 173, 991 List the prime factors of 5695285. 5, 641, 1777 List the prime factors of 7622770. 2, 5, 762277 What are the prime factors of 3631094? 2, 1815547 List the prime factors of 319585. 5, 7, 23, 397 List the prime factors of 1593888. 2, 3, 16603 What are the prime factors of 1206080? 2, 5, 3769 List the prime factors of 430097. 47, 9151 List the prime factors of 70347. 3, 131, 179 What are the prime factors of 3121057? 3121057 List the prime factors of 474028. 2, 17, 6971 List the prime factors of 1431834. 2, 3, 238639 List the prime factors of 912084. 2, 3, 17, 263 List the prime factors of 696397. 13, 53569 List the prime factors of 933999. 3, 11, 31, 83 What are the prime factors of 825965? 5, 7, 23599 List the prime factors of 2975040. 2, 3, 5, 1033 List the prime factors of 4586202. 2, 3, 31, 8219 List the prime factors of 233045. 5, 127, 367 What are the prime factors of 7005976? 2, 547, 1601 What are the prime factors of 231149? 17, 13597 List the prime factors of 9767290. 2, 5, 13, 75133 List the prime factors of 387763. 387763 What are the prime factors of 13736037? 3, 7, 23, 28439 List the prime factors of 2666753. 29, 91957 What are the prime factors of 1699183? 211, 8053 What are the prime factors of 9196715? 5, 11, 167213 What are the prime factors of 287935? 5, 57587 List the prime factors of 2933231. 7, 17, 157 What are the prime factors of 1100525? 5, 44021 List the prime factors of 259540. 2, 5, 19, 683 What are the prime factors of 4923453? 3, 947, 1733 List the prime factors of 5911219. 1019, 5801 List the prime factors of 3311533. 839, 3947 What are the prime factors of 7156636? 2, 1789159 List the prime factors of 6664769. 6664769 List the prime factors of 267936. 2, 3, 2791 What are the prime factors of 283699? 13, 139, 157 What are the prime factors of 7075960? 2, 5, 176899 List the prime factors of 323972. 2, 11, 37, 199 What are the prime factors of 6595693? 13, 507361 List the prime factors of 236557. 229, 1033 What are the prime factors of 1777050? 2, 3, 5, 11, 359 What are the prime factors of 5301483? 3, 11, 160651 List the prime factors of 62859. 3, 23, 911 List the prime factors of 287952. 2, 3, 7, 857 What are the prime factors of 8300952? 2, 3, 11, 47, 223 What are the prime factors of 146907? 3, 5441 List the prime factors of 24271277. 24271277 What are the prime factors of 8619585? 3, 5, 13, 44203 List the prime factors of 2230926. 2, 3, 43, 8647 What are the prime factors of 1753473? 3, 373, 1567 What are the prime factors of 507305? 5, 241, 421 List the prime factors of 461030. 2, 5, 46103 List the prime factors of 213793. 439, 487 What are the prime factors of 7835103? 3, 290189 What are the prime factors of 154876? 2, 31, 1249 What are the prime factors of 36230? 2, 5, 3623 List the prime factors of 703767. 3, 234589 List the prime factors of 1538905. 5, 19, 97, 167 List the prime factors of 129123. 3, 14347 List the prime factors of 8727207. 3, 677, 4297 List the prime factors of 234485. 5, 23, 2039 List the prime factors of 3902203. 23, 169661 What are the prime factors of 633130? 2, 5, 63313 What are the prime factors of 7274562? 2, 3, 1212427 List the prime factors of 8537461. 433, 19717 What are the prime factors of 707292? 2, 3, 37, 59 List the prime factors of 8189820. 2, 3, 5, 173, 263 What are the prime factors of 497932? 2, 281, 443 What are the prime factors of 40890? 2, 3, 5, 29, 47 List the prime factors of 490821. 3, 47, 59 What are the prime factors of 708690? 2, 3, 5, 23623 List the prime factors of 1686431. 31, 54401 What are the prime factors of 4633528? 2, 107, 5413 List the prime factors of 6376365. 3, 5, 141697 List the prime factors of 222424. 2, 27803 List the prime factors of 7938634. 2, 11, 23, 29, 541 What are the prime factors of 2510877? 3, 131, 6389 What are the prime factors of 728480? 2, 5, 29, 157 What are the prime factors of 270091? 163, 1657 What are the prime factors of 207517? 207517 List the prime factors of 32308726. 2, 29, 277, 2011 What are the prime factors of 2132172? 2, 3, 7, 8461 List the prime factors of 256501. 7, 36643 What are the prime factors of 5927814? 2, 3, 509, 647 List the prime factors of 269878. 2, 7, 37, 521 List the prime factors of 2690975. 5, 7, 15377 What are the prime factors of 11368643? 11, 13, 107, 743 List the prime factors of 481821. 3, 19, 79, 107 List the prime factors of 2028958. 2, 859, 1181 List the prime factors of 915600. 2, 3, 5, 7, 109 What are the prime factors of 196123? 43, 4561 What are the prime factors of 86919? 3, 7, 4139 What are the prime factors of 985798? 2, 11, 44809 What are the prime factors of 581313? 3, 193771 What are the prime factors of 2562639? 3, 854213 What are the prime factors of 2007956? 2, 607, 827 What are the prime factors of 4040743? 7, 577249 List the prime factors of 1830275. 5, 179, 409 What are the prime factors of 974724? 2, 3, 43, 1889 List the prime factors of 235806. 2, 3, 39301 List the prime factors of 6721351. 7, 13, 233, 317 List the prime factors of 46481. 53, 877 List the prime factors of 9897848. 2, 1237231 What are the prime factors of 20522423? 20522423 What are the prime factors of 2150846? 2, 53, 103, 197 What are the prime factors of 478691? 173, 2767 What are the prime factors of 9311371? 9311371 What are the prime factors of 934843? 7, 13, 10273 List the prime factors of 21961995. 3, 5, 11, 133103 List the prime factors of 10309159. 7, 210391 What are the prime factors of 4151853? 3, 461317 What are the prime factors of 673218? 2, 3, 7, 13, 137 What are the prime factors of 382255? 5, 89, 859 What are the prime factors of 4203419? 11, 34739 List the prime factors of 202257. 3, 11, 227 List the prime factors of 102170. 2, 5, 17, 601 What are the prime factors of 42767? 42767 What are the prime factors of 321842? 2, 29, 31, 179 What are the prime factors of 112168? 2, 7, 2003 What are the prime factors of 4461103? 23, 73, 2657 What are the prime factors of 936140? 2, 5, 46807 What are the prime factors of 2322924? 2, 3, 193577 List the prime factors of 136163. 136163 List the prime factors of 64667. 64667 List the prime factors of 1675045. 5, 335009 What are the prime factors of 3371910? 2, 3, 5, 112397 What are the prime factors of 12320? 2, 5, 7, 11 What are the prime factors of 1164164? 2, 291041 What are the prime factors of 38229931? 97, 394123 What are the prime factors of 117222? 2, 3, 7, 2791 List the prime factors of 7241770. 2, 5, 653, 1109 List the prime factors of 10139. 10139 What are the prime factors of 681657? 3, 227219 List the prime factors of 539513. 13, 47, 883 What are the prime factors of 5710729? 5710729 List the prime factors of 284785. 5, 56957 What are the prime factors of 412963? 503, 821 What are the prime factors of 896721? 3, 7, 42701 List the prime factors of 158437. 47, 3371 List the prime factors of 651039. 3, 41, 67, 79 List the prime factors of 4502535. 3, 5, 17, 17657 List the prime factors of 51219. 3, 7, 271 What are the prime factors of 546365? 5, 23, 4751 List the prime factors of 34065954. 2, 3, 13, 48527 List the prime factors of 1638293. 607, 2699 List the prime factors of 2429157. 3, 809719 What are the prime factors of 2083181? 47, 127, 349 List the prime factors of 1065042. 2, 3, 11, 163 What are the prime factors of 4845933? 3, 179479 What are the prime factors of 463215? 3, 5, 30881 List the prime factors of 8680666. 2, 61, 71153 What are the prime factors of 6556783? 6556783 List the prime factors of 115
{ "pile_set_name": "DM Mathematics" }
-15) assuming k is positive. k**75 Simplify (z*z*z/(z/(z/(z/(z**(1/3)/z))))*z)**38/(z*(z/(z**0/z))/z)**(9/8) assuming z is positive. z**(1037/12) Simplify (w/(w*w*(w**1/w)/w*w))**12*w*w**1*((w**(-6)/w)/w)/w assuming w is positive. w**(-19) Simplify (a/(a*a*a**13/a*a)*a**(-6)*a*a)**24 assuming a is positive. a**(-432) Simplify (((o/o**0)/o)**(-39))**35 assuming o is positive. 1 Simplify ((x*x/x**(1/7)*x)/x**(-5))**(-1/4) assuming x is positive. x**(-55/28) Simplify (o*o/(o*(o/(o**(29/2)*o))/o))/(o/o**5) assuming o is positive. o**(41/2) Simplify ((q/(q**(1/5)*q))/q**(3/2))/(q**(-1/2))**42 assuming q is positive. q**(193/10) Simplify a**13/(a/(a/((a*a/(a/(a/(a/a**(-4)))*a))/a)*a)) assuming a is positive. a**19 Simplify (i**(-34)*i)**48 assuming i is positive. i**(-1584) Simplify ((r*r**(3/7)/r)/(r**(-4/3)/r))**(-12) assuming r is positive. r**(-232/7) Simplify h**1/(h/((h/(h**(-7)/h))/h)) assuming h is positive. h**8 Simplify l**0/l*l**(-8)*l**(-4/5)*l**(2/9) assuming l is positive. l**(-431/45) Simplify (s*s*(s*s/(s**(-1/7)*s)*s)/s*(s/(s*s**10*s))/s)**9 assuming s is positive. s**(-558/7) Simplify q**(-14)*q*(q**(-8/7)/q)/q assuming q is positive. q**(-113/7) Simplify (((y**2*y)/y)/y*y*y)/y**6*y**(2/11)/(y/(y/(y**7*y))) assuming y is positive. y**(-119/11) Simplify (y/y**5*y**(-4/9))/(y**(-2))**(-40) assuming y is positive. y**(-760/9) Simplify (p**1)**41/((p*p**(-1/17)*p)/(p*p**(-1/3)/p)) assuming p is positive. p**(1975/51) Simplify ((b/(b*b**(-2/13)))/(b**1*b))/(b*b/b**(1/3))**31 assuming b is positive. b**(-2087/39) Simplify b*b**(-4/7)*b*b/(b**(-2)*b) assuming b is positive. b**(24/7) Simplify (b**(3/2)/b*(b*b**4)/b)**12 assuming b is positive. b**54 Simplify y**(-17)*y**(-14)/y assuming y is positive. y**(-32) Simplify ((w/(w**(2/3)/w))**(2/27))**(9/13) assuming w is positive. w**(8/117) Simplify v/(v**(-5/3)/v)*v**(-23/2) assuming v is positive. v**(-47/6) Simplify (p*p**(-10)*p*p**(-3/4)*p)**(1/2) assuming p is positive. p**(-31/8) Simplify (v/v**(-25)*v*v*v*v)**4 assuming v is positive. v**120 Simplify (l**(-5)/l**(-3))**(-26) assuming l is positive. l**52 Simplify (((v*v/(v/((v*(v**(-5/3)/v)/v)/v*v)))/v)/v**(-6))/(v**(-1/3)*v*v**(-5)) assuming v is positive. v**(23/3) Simplify ((((r/r**3)/r)/r)/r*r**(-3))/(r**7*r**(1/13)) assuming r is positive. r**(-196/13) Simplify (k/((k*(k/k**(6/11)*k)/k*k)/k)*k**(-1))/(k**(2/9))**(-7/3) assuming k is positive. k**(-278/297) Simplify w**(1/4)/(((w**(1/4)*w)/w)/w)*(w**3*w)/(w/(w**(-2/9)*w)) assuming w is positive. w**(43/9) Simplify (m/(m*m**0*m))**(-13)*m**0/(m/(m*m*m/m**(2/7))) assuming m is positive. m**(103/7) Simplify (m**(-1)*m*m/((m/(m**(2/3)*m))/m*m))/(m**(-4)/(m*m**5)) assuming m is positive. m**(35/3) Simplify j/(j/j**(-1/3))*j/(j*j/(j*j*j/(j/(j**(5/3)/j*j)))*j) assuming j is positive. j**(4/3) Simplify (n**(3/2)*(n**(-3/7)/n)/n)/((n*(n/(n*n**4/n*n)*n*n)/n)/(n/n**3)) assuming n is positive. n**(-13/14) Simplify p/(p*p*p/(p/p**(-15/4))*p)*p**(-3/11) assuming p is positive. p**(65/44) Simplify n/(((n/(n*n/(n*n/(n*n**18/n))*n))/n)/n)*n/(n**(-9/2)*n)*n assuming n is positive. n**(53/2) Simplify ((j**(-10)/j)/(j*j**(-3)*j))/((j/j**(2/13))/j*j**(-4)) assuming j is positive. j**(-76/13) Simplify k**2/(k**(-2)*k) assuming k is positive. k**3 Simplify y**12/(y/y**(7/5)) assuming y is positive. y**(62/5) Simplify ((d*d/d**(2/7)*d)/(d*d*d*d**2*d))**42 assuming d is positive. d**(-138) Simplify (g/((g*g**2)/g*g))/g**(-3/4)*(g*g**(-1)/g)**(-12/11) assuming g is positive. g**(-7/44) Simplify i**(-16/7)/i**(1/4) assuming i is positive. i**(-71/28) Simplify (u*u**(-13)*u/(u**(-14)*u))**16 assuming u is positive. u**32 Simplify t/(t/((t*t/t**(-1/9))/t))*t**(1/5)*t*(t**(-1/2)/t*t*t)**(2/93) assuming t is positive. t**(3239/1395) Simplify ((j**1)**(-27/2))**(-1/9) assuming j is positive. j**(3/2) Simplify (r**(1/3))**(-7)*(r*r**1)**(1/16) assuming r is positive. r**(-53/24) Simplify (p/(p/(p/((p/(p*p**1*p))/p)*p)))**(13/6)/(((p*p*p/p**(2/11)*p)/p)/(p**(-1/4)*p)) assuming p is positive. p**(1157/132) Simplify (u**(-4)/(u*u*u**(2/5)/u*u))/((u/(u/u**(3/4)))/(u*(u**(-3)/u)/u)) assuming u is positive. u**(-223/20) Simplify p**2*p/(p/(p*p**(-3))*p*p)*(p**(1/4))**(-42) assuming p is positive. p**(-25/2) Simplify (((w*(w*w*w**(1/8)*w)/w)/w)**(-27))**(-37) assuming w is positive. w**(16983/8) Simplify (x*x**(-22)*x/(x*x**(-21)))**(2/69) assuming x is positive. 1 Simplify (l*l**2)/l**(-13) assuming l is positive. l**16 Simplify (i/i**6*i/(i**(2/27)/i))**(15/8) assuming i is positive. i**(-415/72) Simplify h**10*h/(h*h**5/h*h)*h assuming h is positive. h**6 Simplify (t*(t/(t**(1/2)/t))/t*t**(4/7)/t)/(t**(3/5)/(t*t**(-5))) assuming t is positive. t**(-247/70) Simplify (v/(v**(2/13)/v)*v/(v*v**4/v*v)*v)/(v/v**(-1))**18 assuming v is positive. v**(-483/13) Simplify (n**0)**(-14)*n**(-4/7)/(n/(n*(n*(n/n**(-5))/n)/n)) assuming n is positive. n**(31/7) Simplify ((b/(b/(b/(b*b*b**(-4/3)))*b))/(b*b*((b/((b*b*b*b*b**2*b*b*b*b*b)/b))/b)/b))**(-28) assuming b is positive. b**(-700/3) Simplify (n*n**15/n*n)/(n*n/(n/(n/n**(-2/3))*n)) assuming n is positive. n**(43/3) Simplify (q**(3/11)*(q/((q*q*q*q/((q*(q/(q**(-1/10)/q)*q)/q)/q))/q))/q*q)/(q/(q/q**(-9))*q**(-2/21)*q) assuming q is positive. q**(19561/2310) Simplify (d/((d*d*d/(d/d**(-9)*d))/d*d)*d*(d**(-5)*d)/d*d)/(d**9*d/((d/(d**(-3)/d))/d)) assuming d is positive. 1 Simplify (z/(z*z*z/(z**(-9)*z)*z))/(z/(z/(z*z/z**1))*z)*z**(-2/9)/z*z**(-2/21)*z assuming z is positive. z**(-839/63) Simplify ((g/(g*g**(10/3)*g))/g)**50 assuming g is positive. g**(-800/3) Simplify f**(-9/4)*f*f**(2/27) assuming f is positive. f**(-127/108) Simplify (o**(2/13)/o**6)/(o**(3/7)*o/(o*o**(-5/3)*o)) assuming o is positive. o**(-1895/273) Simplify (r**7)**50 assuming r is positive. r**350 Simplify (m**3/m**(1/3))/(m**(-1/3))**49 assuming m is positive. m**19 Simplify o**(-27)*o/(o*o/o**(2/37)) assuming o is positive. o**(-1034/37) Simplify ((u**(1/10))**34)**(-7) assuming u is positive. u**(-119/5) Simplify (d**10/d)**(-7/3) assuming d is positive. d**(-21) Simplify (q**0)**(-39)*q**(-6/7)*q**(7/4)*q assuming q is positive. q**(53/28) Simplify o**(-24)*(o**(-9/5)/o)/o assuming o is positive. o**(-139/5) Simplify o*o**(2/23)*o*o**7 assuming o is positive. o**(209/23) Simplify w**0*w*((w/(w**(3/16)/w))/w)/w assuming w is positive. w**(13/16) Simplify (s**(-1))**(5/2) assuming s is positive. s**(-5/2) Simplify ((y**(-4)*y)/(y*y*y**9*y))/(y*y**(-2/5)*y**(-1/6)) assuming y is positive. y**(-463/30) Simplify ((x/(x/(x/((x/(x*x**0/x*x))/x)))*x)/x*x*x**(-7))/(x*x**2)**(1/67) assuming x is positive. x**(-271/67) Simplify (j**(-3)*j**(-1))**2 assuming j is positive. j**(-8) Simplify ((g**12*g)/g)**6 assuming g is positive. g**72 Simplify (j/(j/(j*j**2*j)*j))/(j*j**(3/4)*j*j)*(j**(2/5))**(4/11) assuming j is positive. j**(-133/220) Simplify p**(-2/87)/(p/(p**(1/17)*p*p)) assuming p is positive. p**(1532/1479) Simplify ((k**(-1/3))**(-7/5))**(-36) assuming k is positive. k**(-84/5) Simplify z**21/z*z*z**(-4/5)/z assuming z is positive. z**(96/5) Simplify (r**1)**(-40)/(r**(-9)*r/(r/(r/((r*(r/(r/r**6))/r)/r)))) assuming r is positive. r**(-27) Simplify (z**0)**(1/10)*z**6/z*(z/z**6*z)/z assuming z is positive. 1 Simplify (l*(l**(6/7)*l)/l*l)/l**10 assuming l is positive. l**(-50/7) Simplify (g**(1/2)/(g*g/g**(-7/3)))**(-2/33) assuming g is positive. g**(23/99) Simplify ((j*j/j**(2/7))/(j*j**(-4/3)*j))**(1/19) assuming j is positive. j**(22/399) Simplify (y*y**(-18))/y*y**(1/32) assuming y is positive. y**(-575/32) Simplify v/(v*v/(v*v/(v*v**(-5)*v)))*v*((v**(-11)*v)/v)/v*v assuming v is positive. v**(-6) Simplify p**(-2/5)/p**(-16) assuming p is positive. p**(78/5) Simplify (u**(1/4)/(u/u**5))**(2/65) assuming u is positive. u**(17/130) Simplify (b**(-13)/b)/b**(-2/7) assuming b is positive. b**(-96/7) Simplify (g*g/(g/(g/g**9)*g)*g/((g*g*((g*g/(g/(g**(-6/7)/g)))/g*g)/g*g*g*g)/g)*g)/((g/(g**(2/23)*g))/g*g/(g*g*g/((g*g*g**(-2/7)*g)/g))) assuming g is positive. g**(-1090/161) Simplify (u**(-1))**(-8)*(u**(-7)*u)/(u**(-4)*u) assuming u is positive. u**5 Simplify (g/g**(-2/7))**(-2/59)/((g*g**(-1/5))/(g/g**(-3))) assuming g is positive. g**(6518/2065) Simplify y**45/y*y**14 assuming y is positive. y**58 Simplify ((
{ "pile_set_name": "DM Mathematics" }
*x**3 + 55735*x**3 - 19881*x**3 + 72494*x**3 + 25633*x**3. 121205*x**3 Collect the terms in -18 + 18 + 124*t + 82*t + 1176*t. 1382*t Collect the terms in -1274*y + 36*y**2 - 34*y**2 + 205*y + 0 - 1 - 15. 2*y**2 - 1069*y - 16 Collect the terms in 623 + 636 - 169*z**3 + 624 - 1874. -169*z**3 + 9 Collect the terms in -3341 - 3441 + 2*h**2 - 3459 - 3440 + 13681 + 3*h**2. 5*h**2 Collect the terms in 131*d**2 + 134*d**2 + 133*d**2 - 397*d**2 + 4835. d**2 + 4835 Collect the terms in q - 13 + 7135*q**3 + 13604*q**3 + 7*q**2 + 1 + 10. 20739*q**3 + 7*q**2 + q - 2 Collect the terms in -3*q + 100*q**2 + 109*q**2 + 3*q + 96*q**2 - 287*q**2. 18*q**2 Collect the terms in 319*k**2 + 162*k**2 - 479*k**2 + 40*k**3. 40*k**3 + 2*k**2 Collect the terms in 8451 + 8313 - 16764 + 2530*h**2. 2530*h**2 Collect the terms in -8*j - 523 + 93 - 249 + 11*j - 5723. 3*j - 6402 Collect the terms in 96*o - 68*o + 198*o - 651*o - 4*o + 72*o. -357*o Collect the terms in -9 + 617*c - 6 - 4 - 7 + 23. 617*c - 3 Collect the terms in 889 - 155 + 6*c - 577 - 157. 6*c Collect the terms in -3*x + 2212645777*x**2 + 3*x - 2212645856*x**2. -79*x**2 Collect the terms in u - 15*u - 3*u**2 + 107*u**3 + 7*u - u. 107*u**3 - 3*u**2 - 8*u Collect the terms in -14 - 9 + 23 - 2742714*z. -2742714*z Collect the terms in -1087*t + 133*t - 201*t - 615*t + 1. -1770*t + 1 Collect the terms in -33489*n + 286*n**3 + 33489*n. 286*n**3 Collect the terms in -47411*g**2 + 46 + 23619*g**2 + 23791*g**2. -g**2 + 46 Collect the terms in 1415 - 1415 - 68165*k**2. -68165*k**2 Collect the terms in 533074346939*l - 533074346939*l + 253*l**2. 253*l**2 Collect the terms in 5762810*w + 5762801*w - 11525593*w. 18*w Collect the terms in 182474*u**2 - 1059*u - 91240*u**2 - 91236*u**2. -2*u**2 - 1059*u Collect the terms in 37*u**2 + 31*u**2 - 4*u - 11*u**2 - 3 + 3*u**2 - 12*u**2. 48*u**2 - 4*u - 3 Collect the terms in 70567*m**2 - 63988*m**2 - 63528*m**2 - 3 - 85825*m**2. -142774*m**2 - 3 Collect the terms in 29991*p**3 - 1 - 295*p**2 + 295*p**2 + 1. 29991*p**3 Collect the terms in -33956*q - 3031*q - 98403*q. -135390*q Collect the terms in 4800*x**2 + 2324*x**2 + 2318*x**2 - 9438*x**2. 4*x**2 Collect the terms in -29624*i - 21611*i + 22779*i - 36779*i - 30707*i. -95942*i Collect the terms in -1 + 7 + 0 - 609*o + 1152*o - 6 - 541*o. 2*o Collect the terms in -800*z**2 - 28153 + 28153 + 281*z**2. -519*z**2 Collect the terms in 691*k**3 - 690*k**3 - 2 - 3055*k + 111*k. k**3 - 2944*k - 2 Collect the terms in 109*d**3 + 141*d**3 + 18*d**3 - 44*d**3 - 21*d**3. 203*d**3 Collect the terms in -174*o - 620*o**2 - 30 + 218*o**3 + 620*o**2. 218*o**3 - 174*o - 30 Collect the terms in 176*x**2 - 53*x**2 + 18*x**3 - 75*x**2 + 28*x**3 - 48*x**2. 46*x**3 Collect the terms in 4168714*d - 2084518*d - 2084191*d. 5*d Collect the terms in -373715*s**3 + 747394*s**3 - 373949*s**3. -270*s**3 Collect the terms in 1327*y**2 - 372*y**2 - 227*y**2 - 357*y**2 - 392*y**2. -21*y**2 Collect the terms in -3*z**2 - 321 + 0*z - 2*z + 2*z - 890*z**3. -890*z**3 - 3*z**2 - 321 Collect the terms in 21835 - 288968*d**3 - 21835. -288968*d**3 Collect the terms in 0*p**2 - 2140*p**3 + 2037*p**3 - 2*p**2. -103*p**3 - 2*p**2 Collect the terms in 7075667 - 14*x**3 - 7075667. -14*x**3 Collect the terms in 455*f + 456*f - 1847*f + 438*f + 544*f. 46*f Collect the terms in 43*u**2 - 137*u**2 + 839*u**3 + 61*u**3 + 94*u**2. 900*u**3 Collect the terms in -7693 + 3978 + 999*p**3 + 119*p**3 + 3715. 1118*p**3 Collect the terms in 401*m + 399*m - 29*m**3 + 414*m + 7*m**2 - 1226*m. -29*m**3 + 7*m**2 - 12*m Collect the terms in -7*p**2 + 3*p**2 + 157*p - 10*p + 6*p**2 - 4*p. 2*p**2 + 143*p Collect the terms in 6*b**2 - 8*b**2 - 16530 + 33286 - 16756. -2*b**2 Collect the terms in 494135*n + 224634*n + 135478*n + 1943330*n. 2797577*n Collect the terms in 117*h - 29*h - 26*h - 42*h - 29*h. -9*h Collect the terms in -90*f**3 + f**2 + 0*f**2 + f**2 + 202*f**3 + 0*f**2 - 85*f**3. 27*f**3 + 2*f**2 Collect the terms in 3*k - 1650*k**3 + 1646*k**3 - 4*k + k - 3385*k**2 + 3385*k**2. -4*k**3 Collect the terms in -574 - 15*p + 31*p - 14*p + 126. 2*p - 448 Collect the terms in -7613*r + 16*r**2 + 8 - 31 + 7614*r. 16*r**2 + r - 23 Collect the terms in 330*i + 411*i + 352*i + 337*i + 346*i - 1736*i. 40*i Collect the terms in -90*z + 70 + 122*z - 54*z - 18*z. -40*z + 70 Collect the terms in -15487767*u - 15489049*u + 30976803*u. -13*u Collect the terms in -16*c**2 - 48 - 1 + 8 + 13 + 29 - 5*c. -16*c**2 - 5*c + 1 Collect the terms in -2 + 7366*s**2 + 2 - 22969*s**2 + 7607*s**2 + 7065*s**2. -931*s**2 Collect the terms in 287*n - 215*n**3 - 212*n**3 - 287*n + 400*n**3. -27*n**3 Collect the terms in 249*j**3 - 3 + 3 - 1028*j**3 + 653*j**3. -126*j**3 Collect the terms in -3*v**3 - 38*v**3 - 5*v**3 - 6*v**3 + 14*v**3 + 47*v**3 - 11*v**3. -2*v**3 Collect the terms in 0 + 0 - 2310018*l**2 + 2310026*l**2. 8*l**2 Collect the terms in -28 - 59021*s**3 - 28 + 59032*s**3 + 56. 11*s**3 Collect the terms in 401778 - 401778 + 45*l + 34*l - 75*l. 4*l Collect the terms in -4707*l**2 - 4682*l**2 + 18912*l**2 - 4681*l**2 - 4778*l**2. 64*l**2 Collect the terms in -16760238*h**3 + 16759997*h**3 + 26*h**2 - 26*h**2. -241*h**3 Collect the terms in -51 + 25*d**2 + 19 - 79 + 107*d. 25*d**2 + 107*d - 111 Collect the terms in -16*u - 2*u + 0*u - 3*u + 24*u + 0*u. 3*u Collect the terms in 414*m**2 + 401*m**2 + 404*m**2 - 1220*m**2 - 1070. -m**2 - 1070 Collect the terms in -97*i**2 + 7*i**3 + i - 17 - 5*i**3 + 21. 2*i**3 - 97*i**2 + i + 4 Collect the terms in 1609069 - 536316 - 536320 - 536433 - 4*q. -4*q Collect the terms in 52*p**3 - 643272 - 39*p**3 + 157*p**3 - 643224 + 1286496. 170*p**3 Collect the terms in -432*j**3 + 65 + 239*j**3 - 32 + 197*j**3 - 33. 4*j**3 Collect the terms in -418*v**2 - 397*v - 421*v + 818*v - 112*v**2. -530*v**2 Collect the terms in 36 + 39 - 75 + 93282*n**3 - 257498*n**3. -164216*n**3 Collect the terms in 3 + 11 + 13 - 64*z + 17*z - 40*z. -87*z + 27 Collect the terms in 11*x**2 - 35*x**2 - 8536 + 4267 + 4269 + 14*x**2. -10*x**2 Collect the terms in -169 + 169 - 19*u**3 - 44*u**3 + 192*u**3. 129*u**3 Collect the terms in -158381*q**3 + 257568*q**3 + 273419*q**3. 372606*q**3 Collect the terms in -53*m**2 - 99*m**2 + 143*m**2 + 12 + 10*m**2. m**2 + 12 Collect the terms in 468*a**3 - 248*a**3 + 25*a + 2*a**2 - 9*a - 225*a**3 - 2*a**2 - 15*a. -5*a**3 + a Collect the terms in 1026132*a**3 - 513000*a**3 - 513007*a**3. 125*a**3 Collect the terms in -2225*l**2 - 2 - 2 - 8*l + 5. -2225*l**2 - 8*l + 1 Collect the terms in 8*o - 8*o + 241434*o**3 + 532*o**2 - 241431*o**3. 3*o**3 + 532*o**2 Collect the terms in 3 + 15 - 39 - 18*x**3 + 11. -18*x**3 - 10 Collect the terms in 15230994*t**3 - 30461973*t**3 + 15230978*t**3. -t**3 Collect the terms in 5*m**2 + 1751095 + 7*m + 1751079 - 3502174. 5*m**2 + 7*m Collect the terms in 3*f**3 - 50*f + 0*f**2 - 115*f - 116*f + 281*f + f**2. 3*f**3 + f**2 Collect the terms in -27*r**2 + 5*r**2 + 11*r**2 + 17*r**2 - 2*r - r**2. 5*r**2 - 2*r Collect the terms in 2*c - 6042 + 5*c + 3*c + 26 + 101. 10*c - 5915 Collect the terms in 934*j**2 + 184 + 893*j**2 - 626*j**2 - 184. 1201*j**2 Collect the terms in -4827*c + 400*c - 3254*c - 952*c. -8633*c Collect the terms in -1506*o + 3 - 2 + 61*o**2 - 67*o**2. -6*o**2 - 1506*o + 1 Collect the terms in 4298258 - 3*s - 38*s - 4298209. -41*s + 49 Collect the terms in -272*k - 5214 + 2604 - 282*k + 2610 + 542*k. -12*k Collect the terms in -1038*s**3 + 220*s**3 - 5 + 4 + 5. -818*s**3 + 4 Collect the terms in 82930*r + 82968*r - 165894*r - 13*r**2. -13*r**2 + 4*r Collect the terms in 0 - 19 + 19 + 183*n**2 - 65*n**2 + 148*n**2. 266*n**2 Collect the terms in 89*n**2 + 93*n**2 + 135*n**2 - 329*n**2. -12*n**2 Collect the terms in -2208734*a**2 - 3843709*a**2 + 1550558*a**2. -4501885*a**2 Collect the terms in -1555*t + 3935*t + 6991*t + 2*t**2. 2*t**2 + 9371*t Collect the terms in 4331*i - 21 - 40 - 16. 4331*i - 77 Collect the terms in 222 + 275 + p - 87. p + 410 Collect the terms in 35*i - 393 + 87 + 107 + 97 + 100. 35*i - 2 Collect the terms in 7681220 - 7681220 + 199*t**2 - 92*t**2 - 99*t**2. 8*t**2 Collect the terms in -131*c + 1 - 79*c - 96*c - 76*c + 353*c - 1 - 2. -29*c - 2 Collect the terms in -2*s**2 - 3*s + 7047 + 5*s**2 - 17*s**2.
{ "pile_set_name": "DM Mathematics" }
Let x = -4 - -6. Which is the closest to -2/7? (a) x (b) w (c) -0.1 c Let x = 3 + -3. Suppose x = 3*o - 15. Suppose g + 10 - 1 = v, 5*g + 29 = v. What is the closest to 1 in -4, o, g? o Let v = -28 + 30. Let i be (-8)/6*3/14. What is the nearest to i in -1, 2/17, v? 2/17 Let i = 17 - 9. Let z = i - 4. Which is the nearest to -1? (a) 0.2 (b) -1/9 (c) z b Let w be (-1)/10*8*3/12. What is the nearest to -4 in w, -0.5, 0.2? -0.5 Let w = 14 + -13.8. Let x = -1 + -3. Which is the closest to 1? (a) x (b) 4 (c) w c Let w = 23 + -93/4. Which is the nearest to -1? (a) w (b) -0.5 (c) -5 b Let y(s) = -5*s - 106. Let u be y(-21). Let m be -2 - (1 + 54/(-14)). Which is the nearest to 0? (a) u (b) m (c) -4 b Let z be 4/(-12) + 110/6. Suppose 3*x - 4*x = m + 7, z = m - 4*x. Let y = 0.3 - 0.1. What is the nearest to m in -2, 5, y? -2 Let v be (-3)/(-2)*(-2)/(-6). Let w = 0 - -0.1. Suppose 0 = 5*m + 1 + 14. What is the nearest to v in -0.1, w, m? w Let r = 95 - 95.02. Which is the closest to 0? (a) r (b) -1 (c) -1/3 a Let l be (-1)/3*-3 - 5. Let t be 44/(-627)*(-6)/l. Which is the nearest to 0? (a) -0.3 (b) -0.4 (c) t c Let i = -1 - -0.8. Which is the closest to -2/5? (a) -2/11 (b) 0.1 (c) i c Let f = -38.3 + 40. Let d = f - 2. Let k = 1 - 1.1. What is the nearest to -1 in 0, k, d? d Let q(h) = -2*h + 12. Let g be q(6). Let d be g - ((-2)/(-6))/1. Which is the closest to -1/4? (a) 3/7 (b) d (c) 2/7 b Let w = -409/2 - -204. Which is the closest to w? (a) -0.5 (b) 3/4 (c) 5 a Let f = -8 + 4. Let m be (-15)/35*2/f. Let l = 1/28 + m. Which is the nearest to l? (a) 3 (b) 0.1 (c) -2/13 b Let m = 7.3 + -7. Let r = m - 0.3. Let n = 0.8 + -0.8. What is the nearest to n in -1, r, 4? r Let m(l) = l + 12. Let d be m(-8). Let a be 3/(-30) - (-2)/d. What is the closest to a in 5, 2/3, -5/2? 2/3 Let o = -0.34 - -17.34. Let l = -18 + o. Which is the nearest to 0? (a) 0.1 (b) l (c) -2 a Let m(j) = -7*j**2 - j. Suppose -d - 4*d + 15 = -5*k, -4*k - 13 = -3*d. Let w be m(k). Let g be -2*3/w*4. Which is the closest to -1? (a) 6/5 (b) g (c) -3 b Let v = 149/7 - 21. Let w = 35 + -34.5. What is the nearest to -0.1 in w, -4/3, v? v Let u(p) = -p - 4. Suppose 5*r = -0*r - 35. Let v be u(r). Which is the closest to 0.2? (a) -3 (b) -2/9 (c) v b Let i = -1 + 1.06. Let z = -33 + 32.74. Let f = z + i. Which is the nearest to 1? (a) f (b) -0.4 (c) 0.3 c Let s = -1.4 - -1.6. Which is the closest to -1? (a) s (b) 2 (c) -3 a Let p = -4/9 - -41/72. Which is the nearest to 1? (a) 0 (b) p (c) 5 b Let t = 2.286 + -0.286. Let v = 0 - 0.4. Which is the nearest to t? (a) 4 (b) -0.3 (c) v a Let q be -2*(-2)/8*-2. Which is the closest to -0.1? (a) -2 (b) q (c) 1 b Let p(v) = v**3 - 3*v**2 + 2*v - 2. Let f be p(3). Let m = 4 + -3. Let b = m - 5. What is the closest to -1/4 in 3, b, f? 3 Let t = -0.1 - -0.2. Suppose 4*p = g - 6, 4*p - 5 = 2*g - 1. Let o be 1 + 0 + g/7. Which is the closest to t? (a) o (b) -2/7 (c) 2 b Let g = 5/34 - 185/102. Which is the nearest to -2? (a) 0.2 (b) g (c) 2 b Let s = -14 - -11. What is the nearest to -1 in -5/4, -1, s? -1 Let i(y) = y**2 - 3*y - 4. Let x be i(5). Let o be (-3)/x - 22/(-28). Which is the nearest to 0.1? (a) o (b) 1 (c) -2 a Let q = -2.05 - -1.95. What is the closest to 8 in 1/11, 0.1, q? 0.1 Let a = 1.14 + -0.14. What is the nearest to -1 in a, -1, -1/9? -1 Let h = 0.039 + -11.039. Which is the nearest to 0.1? (a) h (b) -1/4 (c) -5 b Suppose 20 = 4*c - 0. What is the nearest to -4 in 2, 0, c? 0 Let r = -4/157 + -286/1099. What is the nearest to r in 0.4, -0.4, -1? -0.4 Let m be 4/(-24)*(-1 - -6 - 2). Which is the closest to 1? (a) -5 (b) m (c) 0.4 c Let m be -4 - ((-270)/33 + 4). What is the nearest to -2/3 in 0, -0.1, m? -0.1 Let b be 10/(-42) + (-1)/3. Let q = 4 - 4.2. Let s = -3 + 4. What is the closest to s in b, -0.5, q? q Let o be (2 - 1)/((-2)/(-2)). Let v be o/(-2) + (-2)/(-12). Which is the closest to v? (a) 3 (b) 0 (c) -0.5 c Let m = 10 - 9.6. Let l = -3.4 + m. Which is the closest to -0.1? (a) -0.1 (b) l (c) -3/5 a Let b be 0 - (-4)/(2 - (-18)/(-10)). What is the closest to b in -5, -0.5, -2/7? -2/7 Let p = 3.6 + -4. Let h = 0.3 + p. Let o(j) = j**2 + j - 1. Let y be o(1). Which is the nearest to -3? (a) y (b) h (c) -0.2 c Let p = -77.2 - -68. Let r = p + 9. Which is the nearest to r? (a) 1 (b) 4 (c) 0.1 c Let g = -17 - -15. Let c = -0.2 - -0.3. Let s = 1 - 1.1. What is the nearest to s in c, g, -3? c Suppose 4*s + 16 = 4. Let o = -1 + 1.4. Which is the closest to -1? (a) -1 (b) o (c) s a Let y be (-2)/9 + 13/18. Which is the closest to 1/2? (a) 2 (b) y (c) 0 b Let h = -3103/15 + 207. Which is the closest to -2/5? (a) -2 (b) h (c) -7 b Let s be (-1)/(-4) - ((-315)/308)/(-3). Let f = 0.03 + 2.97. Which is the closest to 0? (a) s (b) -0.5 (c) f a Let i = -0.03 - 0.07. Which is the nearest to i? (a) -0.2 (b) 4 (c) -2 a Let r = -66/115 - -4/23. Let t = 60 + -60.5. Which is the closest to r? (a) t (b) 0 (c) -1/4 a Let u = 21 - 18. Which is the nearest to 0.1? (a) -0.4 (b) u (c) 5 a Let r = -0.04 - -0.04. Which is the closest to r? (a) -5 (b) 1 (c) 1/3 c Let p be (-28)/4*(0 - 1). Let u be 18/p + (-2 - 0). Let q(i) = -i**3 - 5*i**2 + 7*i + 3. Let g be q(-6). What is the nearest to 0.1 in g, 2/9, u? 2/9 Let h = 1.5 + -1. Let j be 1/(-3)*(5 + 4). Let t be 2/(-7) - 24/14. What is the nearest to -0.2 in h, j, t? h Let u = 25/7 + -4. Which is the nearest to 0? (a) 0.2 (b) u (c) 0 c Let p = -16 - -6. Let n = 9.9 + p. Which is the closest to n? (a) -2/3 (b) 2/11 (c) 5/4 b Let o = 1.9 + -2. Let z = 0.1 + -0.3. Let u = z + 0.3. What is the nearest to u in o, 1, -0.2? o Let z(h) = -h**2 + 7*h - 6. Let l be z(6). Let t = 0.144 - 0.044. Which is the closest to t? (a) l (b) -0.5 (c) 3 a Let d = -2.1 + 2. Let a = 9.7 + -10. What is the closest to d in 1/8, -0.1, a? -0.1 Let i = 21 + -23.1. Let p = -3.2 - i. Let g = p - -0.8. Which is the closest to 0.5? (a) -0.2 (b) g (c) -1 a Suppose -5*j + 0*j + 5*d - 20 = 0, -2*d + 8 = j. Let n be -33*(j - 20/63). Let w = n - 78/7. Which is the closest to w? (a) -3 (b) -1/6 (c) -5 b Let i = -13 + 13.1. What is the closest to 1 in 3/2, -0.4, i? 3/2 Let w = -0.2 + 0.1. Let q = -11 - -11.06. Let v = 4.94 + q. Which is the nearest to w? (a) 1/2 (b) 1/4 (c) v b Let h = 0.4 + -2.4. Let p = h - -2.2. Let r = 0 + -1. Which is the nearest to -0.1? (a) r (b) -0.3 (c) p b Let r = 2 + 0. Let q(d) = -191*d**2 + 2*d - 1. Let t be q(1). Let z = t + 1327/7. Which is the nearest to 1? (a) r (b) 1 (c) z b Let f = 0.21 + 1.79. What is the closest to 10 in -2, f, -4? f Let g be (-5)/17*(-7 + (-185)/(-25)). Let v be 2/42 - (-2)/7. What is the nearest to -0.1 in g, 0, v? g Suppose -n - 10 = -6*n. Suppose 0 = -2*z + n - 0. What is the closest to -1 in z, 0.1, -3/5? -3/5 Let z = 1.6 - 1.2. Let n = -0.01 - 0.29. What is the nearest to 0.1 in z, -0.4, n? z Let f = -31 - -18. Let r = f - -13.1. Which is the closest to r? (a) -3 (b) 1/3 (c) -2 b Let z = 0.06 + -0.12. Let t = z - 0.04. What is the closest to 0.1 in 2, 3, t? t Let n be (-1)/((-2)/(-8) + 0). Suppose 0 = 6*z - 5*z - 1. Which is the closest to 1? (a) z (b) 2/3 (c) n a Let f = 69 - 64. What is the closest to 3 in 2/19, -3/4, f? f Suppose 2*o = w - 4, 4*w - 3*o - 7 = 9. Let r = -6 + 5.4. Let k = r - 4.4. What is the nearest to 1 in k, w, -0.5? -0.5 Let k be (-1)/3*3/9. Let f = -3.01 - -0.01. Which is the closest to 1? (a) k (b) 0.3 (c) f b Let g = -5 - -9. Let t = 80 - 80. Which is the nearest to t? (a) -5/4 (b) 2/3 (c) g b Let l = -2/259 + -5/37. Let r be ((-4)/2 - 0) + -2. Which is the nearest to 0.2? (a) l (b) -2 (c) r a Let l = -4 + 6. Let m be (-26)/(-56) + (-4)/(-14). What is the nearest to 0.1 in m, l, -1? m Let o = 0.1 - 0.2. Let z = o - 0.4. Let t = -5 + 7. What is the nearest to 0 in t, z, 4? z Let a be (-1)/4 + (-81)/12. Let y(j) = -j**2 - 8*j - 6. Let l be y(a). What is the closest to l in 5, 3, 3/7? 3/7 Let i be (10 - (-3 - -10)) + 0. Let t = 0 - -0.2. Which is the closest to i? (a) 0.3 (b) t (c) 2/11 a Let k = 2 - 23. Let j = -21.07 - k. Which is the nearest to 1/2? (a) 5 (b) j (c) 2/5 c Let j = 3 + 1. Which is the nearest to j?
{ "pile_set_name": "DM Mathematics" }
. Let h = n + 549. What are the prime factors of h? 7, 43 Let p(q) = 3*q**2 - 12*q**2 - q + 30 - 29 - 8*q**2. Let d be p(-4). Let h = -168 - d. List the prime factors of h. 3, 11 Let b be 2/3 - (-28)/12. What are the prime factors of ((-5325)/15)/((-3)/b)? 5, 71 Suppose 0 = 7*m - 0 + 14. Let t be m - 1 - (-10 - -5). Suppose 42 = u - 5*g - 69, -4*u + t*g = -372. What are the prime factors of u? 7, 13 Let o(k) = -2861*k + 462. What are the prime factors of o(-9)? 3, 8737 Let a(f) = -39*f**2 - f - 3. Let j(o) = -2*o**2 + 6. Let x be j(2). Let i be a(x). What are the prime factors of 0*(-5)/20 - i? 157 Suppose 1810 = -17*i - 2321. Let y = 865 - i. What are the prime factors of y? 2, 277 Suppose -5*a = 6149*w - 6144*w - 22175, 0 = 3*a - 2*w - 13265. List the prime factors of a. 19, 233 Let g(a) = -266*a**3 + 27*a**2 + 128*a - 8. List the prime factors of g(-4). 2, 29, 73 Let w = 34 - 30. Suppose 5*m = w*s + 1596, -712 = -3*m - 5*s + 216. List the prime factors of (2/4)/(950/m - 3). 79 Suppose 0 = -51*u + 57*u - d - 20016, -u + 5*d = -3365. What are the prime factors of u? 5, 23, 29 Suppose -q - 5*b + 2*b + 17 = 0, 0 = 3*q - 4*b + 14. Suppose 4*c + q - 10 = n, 4*c = 0. List the prime factors of 159*((-3)/(-12))/((-6)/n). 53 Let o(r) = 45*r**3 + 4*r**2 + 34*r - 214. List the prime factors of o(6). 2, 13, 379 List the prime factors of 40/220 + 33702/11. 2, 383 Let s = -83427 - -132601. What are the prime factors of s? 2, 23, 1069 Suppose 0 = -3*f + 14 - 8. Suppose -2*z - 11 = -4*z + j, z + j = -f. Suppose z*h + 3*c = 63, -2*c + 5 = -c. What are the prime factors of h? 2 Let f(m) = -7*m**3 - m + 2. Let q be f(1). Let n be q/(-39) + 256/26. Suppose -16*t = -n*t - 156. List the prime factors of t. 2, 13 Suppose -77*q + 2247753 = 1899672 - 2663004. What are the prime factors of q? 3, 5, 11, 79 Suppose 0 = 491*k + 1237131 + 4896933 - 49473652. List the prime factors of k. 2, 22067 Let f = -499 + 504. Suppose -3*t = -f*o - 3172, 30*o + 5240 = 5*t + 31*o. List the prime factors of t. 1049 Let y(r) = -r**2 - 6*r - 4. Let i be y(-5). Suppose -2*n = m - 4*m - i, n = 3*m + 2. What are the prime factors of (-285)/4*m - 5/20? 71 List the prime factors of (-3622)/(-22) - 264/(-726). 3, 5, 11 Let q = -2985 - -4590. List the prime factors of q. 3, 5, 107 Suppose 12*w - 7856 = -956. List the prime factors of w. 5, 23 Suppose -l + 2024 = l. List the prime factors of (-7*3/(-6))/(22/l). 7, 23 Let a be 4 - 398*(3 + 1 + -5). Suppose -5*m = -0*m. Suppose -3*w - 4*d + 603 = 0, d + m*d + a = 2*w. List the prime factors of w. 3, 67 Let q = 270 + -270. List the prime factors of 1402 + q + -38 + 30. 2, 17, 41 Let y = 167 + -161. Let c(u) = 44*u + 12. What are the prime factors of c(y)? 2, 3, 23 Suppose w - 25384 = v, -4*v = -9 - 27. What are the prime factors of w? 67, 379 Let c(v) = 7*v**2 + 2*v - 47. Let d(p) = p**2 + 2*p - 1. Let h(l) = c(l) - 6*d(l). Let n be h(11). What are the prime factors of (-6356)/n + 28/210? 2, 53 Suppose 2*d = 13430 + 3038. List the prime factors of d. 2, 23, 179 Suppose 3651*a = 3579*a + 1153512. List the prime factors of a. 37, 433 Let c = -360 + 363. Suppose -c*h - 2428 = -4*i, -i - 3*h + 612 = -5*h. List the prime factors of i. 2, 151 Suppose -24*z + 15525 = 3*z. Suppose -12*a - z = -6467. What are the prime factors of a? 491 Suppose -157660 = -2*y - 307*l + 312*l, -3*l + 78797 = y. What are the prime factors of y? 5, 11, 1433 Suppose 17*o - 10836 = -4*o. Let b = o + -22. What are the prime factors of b? 2, 13, 19 Let i(h) = 139*h + 8. Let z be 4 + (0 - 2) - -1. List the prime factors of i(z). 5, 17 Suppose -46*f - 3848 = -48*f - 5*u, 3*u - 3848 = -2*f. List the prime factors of f. 2, 13, 37 Let g(n) = -44*n - 21. Let o be g(4). Let m = 257 + o. What are the prime factors of m? 2, 3, 5 Suppose 11*y - 12 = 7*y. Let j = 46 + -46. Suppose 4*i - y*p = -p + 50, j = i - 2*p - 8. What are the prime factors of i? 2, 7 Let s(t) = 288*t**2 + 116*t + 45. What are the prime factors of s(9)? 3, 2713 Let w = 26448 - 10131. What are the prime factors of w? 3, 7, 37 Let v(x) = 5*x + 13. Suppose -5*t - 33 + 158 = 0. Let l = t - 6. List the prime factors of v(l). 2, 3 Let c = -219 - -223. Suppose -z = c*z - h - 2651, -3*z + h + 1589 = 0. List the prime factors of z. 3, 59 List the prime factors of 6/10 + -2 + 342468/45. 7, 1087 Suppose -16 = -6*x + 2*x. Suppose 2*d + 0 - 12 = -g, 5*g = -x*d + 66. Suppose 3*s + 275 = g*s. What are the prime factors of s? 5 Suppose 0 = 4*p + 15*p + 21*p - 350840. What are the prime factors of p? 7, 179 Let t be 9*(28/(-12) - -2) - -23. Suppose -5*k + 5*j + 28 + 2 = 0, 3*k - 5*j = t. Let g(u) = 2*u**2 - 22. What are the prime factors of g(k)? 2, 7 Let q = -9 - 0. Suppose 0 = 4*w - 69 - 55. Let a = w + q. What are the prime factors of a? 2, 11 Let g(k) = k**2 - 5*k - 62. Let q be g(10). Let y(n) = 9*n**2 + 20*n + 30. What are the prime factors of y(q)? 2, 3, 181 Let j be (-25)/10 - 51/(-6). Suppose 0 = j*m + 404 - 1454. What are the prime factors of m? 5, 7 Suppose 4*f + 0*f - 263424 = 4*p, 5*p + f = -329262. What are the prime factors of (p/21)/(-3) - 4/14? 5, 11, 19 Let f(w) be the first derivative of w**4/4 - w**3/3 - 9*w**2 - 12*w + 38. What are the prime factors of f(6)? 2, 3, 5 Suppose 3*c + 42 = 3*s, 5*s + 90 = 10*s + 5*c. Let k be ((-52)/(-8) - 5)*s/3. Suppose 10*j - k*j = 160. What are the prime factors of j? 2, 5 Suppose 17*v - 6842 = 7030. Suppose v = 9*c + 87. What are the prime factors of ((-135)/c)/((-2)/(-138)*-1)? 5, 23 Suppose 6256*o + 1254294 = 6290*o. List the prime factors of o. 3, 4099 Let p be 0 - 0 - -3 - 99604/(-37). Suppose -25*t = -p - 6780. List the prime factors of t. 379 Suppose 166 = 7*x - 5*x. Let d be x/((6/2)/9). Suppose 4*m = 2*a - 400, -4*a + 3*m = -1034 + d. What are the prime factors of a? 2, 97 Suppose -36 = -4*k + 76. Let u = -47 + k. Let j = 46 - u. List the prime factors of j. 5, 13 Let o(t) = 1180*t - 68. Let m be o(24). Suppose -8848 = 22*h - m. What are the prime factors of h? 2, 3, 7 List the prime factors of 13/((-156)/(-48)) + 19. 23 Let n(s) = 5*s**3 - 103*s**2 - 129*s + 228. What are the prime factors of n(33)? 3, 21163 Let m(u) = u. Let n(c) = -c**2 - 3*c - 9. Let v(o) = 6*m(o) - n(o). Let i be v(-6). Let s(f) = 4*f**2 + 12*f + 15. What are the prime factors of s(i)? 3, 7, 11 List the prime factors of (458/4)/(160/11840). 37, 229 Let i(d) = -2*d**3 + 85*d**2 + 33*d - 340. List the prime factors of i(42). 2, 5, 281 Suppose -55678 = -30*x + 102842. List the prime factors of x. 2, 1321 Let l = 8 - 5. Let z be -255 + 3/l + -4. Let n = -67 - z. What are the prime factors of n? 191 Suppose 0 = -27*s - 4205 + 361685. What are the prime factors of s? 2, 5, 331 Let c(p) = -p**3 - 10 + 7*p - 6*p + 22*p**2 - 18*p**2. Let d be c(3). Suppose -d*g + 13 + 11 = 0. List the prime factors of g. 2, 3 Let w = -22 + 50. Suppose i + 27 = w. What are the prime factors of 187 + i + 0 + -4? 2, 23 Let d(g) = g**3 - g**2 + 7*g + 8. List the prime factors of d(11). 5, 7, 37 Suppose r + m - 11602 = 0, r + 3*m - 3653 - 7935 = 0. What are the prime factors of r? 13, 19, 47 Suppose 35*k - 40799 = 340071. What are the prime factors of k? 2, 5441 Suppose 4*t = 20386 - 3758. Suppose 13*u + t = 18990. List the prime factors of u. 7, 163 Let k be 0/(-4) - -6 - (-2 + 3). Suppose 0*t - k*t + 585 = 2*c, 5*c = t + 1422. What are the prime factors of c? 3, 5, 19 Suppose 0 = 2*u - 4*q - 40312, 35*q = 3*u + 36*q - 60517. List the prime factors of u. 2, 5, 2017 Suppose -5*a = 40*x - 43*x + 169849, 17*x + a = 962683. What are the prime factors of x? 2, 3, 11, 13 Suppose 208*n - 325*n = -6419907. List the prime factors of n. 37, 1483 Let g(b) = 7*b**2 + 28*b + 88. What are the prime factors of g(32)? 2, 1019 Suppose -7*b + 0 + 0 = 0. Let h be b*(2 - (-9)/(-6)). Suppose 0*i - 2*i = 5*z - 85, h = -z + 3. List the prime factors of i. 5, 7 Suppose -2*y - 2*z + 37112 = 0, -2*y + 4*z = 5*z - 37106. List the prime factors of y. 2, 5, 7, 53 What are the prime factors of ((-2910)/(-90) + 17)*(-1563)/(-4)? 37, 521 Let r(m) = -45*m - 25 + 17*m - 39*m + 3. List the prime factors of r(-9). 7, 83 Let m be (-2)/5 + 13/(-5). Suppose -1104 = -43*b + 1132. What are the prime factors of (0 - 9)/m + b? 5, 11 Let b be (7 - 1) + 0 + 0. Suppose 0 =
{ "pile_set_name": "DM Mathematics" }
59789*d**3*f + 195*d**3 + 9*d**2*f - 966414*d wrt d. 358734*f + 1170 Differentiate -193674644*n**2 - 574048487. -387349288*n Find the first derivative of 671*n**3*u**3 + 6402*n**3*u + 13379169*u**3 wrt n. 2013*n**2*u**3 + 19206*n**2*u Find the second derivative of 16071905*t**2 + t + 1101778 wrt t. 32143810 What is the third derivative of 2*a**4*t**2 - 37259926*a**4*t + 9*a**2*t**2 - 31747*a**2 + 55*a - 2*t wrt a? 48*a*t**2 - 894238224*a*t Find the second derivative of m**2*n**2 + 3535*m**2*n - 3*m**2 + 13*m*n + 2*m + 11261560*n**2 + 5 wrt n. 2*m**2 + 22523120 Find the first derivative of -161927412*d**2*g - 48*d**2 + 36*d + 2345 wrt g. -161927412*d**2 What is the first derivative of 107121*k**4 + 12*k**3 - 11657505? 428484*k**3 + 36*k**2 What is the second derivative of -21534*m**5 + 4*m**4 - 3*m**2 - 269534*m + 3 wrt m? -430680*m**3 + 48*m**2 - 6 Differentiate 796512*l*t**2*z**2 - 236*l*t**2 - 64*t**2*z - t**2 - 28*t*z**2 + 96*t - 8 wrt l. 796512*t**2*z**2 - 236*t**2 What is the third derivative of 201705*r**5 - 124*r**4 + r**2 - 5731308*r - 1? 12102300*r**2 - 2976*r What is the derivative of -26364531*i**3*w**2 - 1353603*i**3 + 3*i + w**4 wrt w? -52729062*i**3*w + 4*w**3 What is the third derivative of -269*t**2*v**3 - 13*t**2*v**2 + 31*t**2*v - 2816*t*v**5 + 3*t*v**2 - 2*t + 181*v**2 - v wrt v? -1614*t**2 - 168960*t*v**2 Find the second derivative of 281*n**3*y + 119*n**3 - 118*n**2 + 35*n*y + 154799*n wrt n. 1686*n*y + 714*n - 236 Differentiate 2*c*h*w**2 + 9*c*h - 22*c*w + 6*h - 14233*w**2 + 165973 with respect to w. 4*c*h*w - 22*c - 28466*w What is the third derivative of 125969260*z**4 - 239946514*z**2 wrt z? 3023262240*z What is the second derivative of -2445*t**5 - 1503*t**4 + 6177445*t wrt t? -48900*t**3 - 18036*t**2 Find the first derivative of -6*q**2 + 15278348*q + 954689461. -12*q + 15278348 Find the second derivative of -45610*d**4 + 6*d**3 + 8139815*d. -547320*d**2 + 36*d What is the second derivative of 26002448*l**2 - 382981*l + 5? 52004896 What is the second derivative of -155710983*r**4 + 240938535*r? -1868531796*r**2 Differentiate 6*u**3 + u**2*y**2 + 42957*u**2*y + 9*y**2 + 42531 with respect to u. 18*u**2 + 2*u*y**2 + 85914*u*y What is the first derivative of 6149418*f**3*z**2 - 22*f**3*z + 134*z**2 - 806844*z wrt f? 18448254*f**2*z**2 - 66*f**2*z Find the third derivative of 171548630*h**3 - 2959416*h**2 - 19. 1029291780 Find the first derivative of -317041773*g + 428340038 wrt g. -317041773 What is the derivative of 604493540*w + 378472332? 604493540 Find the first derivative of -6614987*t + 1900574 wrt t. -6614987 What is the derivative of 239774*b**3*c**3 + 26*b**3*c + 64213*c**3 + 17*c wrt b? 719322*b**2*c**3 + 78*b**2*c Find the second derivative of -j**3*l**4 - 1346*j**3*l + 8215013*j*l**2 + 383*j*l + 5*l wrt l. -12*j**3*l**2 + 16430026*j What is the second derivative of 2*x**4 + 53760966*x**3 + 2*x + 876750? 24*x**2 + 322565796*x What is the first derivative of 807106696*q + 1127712266 wrt q? 807106696 Differentiate 110975*i**3 + 25*i + 107413767 with respect to i. 332925*i**2 + 25 What is the second derivative of -203438051*j**2 - 7437*j - 576 wrt j? -406876102 What is the third derivative of 49376*h**4 - 143*h**3 + 41408070*h**2 wrt h? 1185024*h - 858 What is the derivative of 29*p**2*y + 1518*p**2 - 111*p*y - p - 161730698*y wrt p? 58*p*y + 3036*p - 111*y - 1 Find the third derivative of 8591914*v**3 - 7*v**2 - 189*v + 90 wrt v. 51551484 What is the first derivative of -10727486*t - 22544778? -10727486 Find the third derivative of -22530006*a**3*y**3 - 615*a**3 - 580*y**2 - 14*y wrt y. -135180036*a**3 What is the third derivative of -496268*j**4 + 4*j**3*m + 115*j**2 + 2*j*m + 2*j + 9*m + 42 wrt j? -11910432*j + 24*m Find the first derivative of -42353*h**3 - 6*h**2 - 5*h + 14532932 wrt h. -127059*h**2 - 12*h - 5 What is the second derivative of -430347144*u**2 + 491803425*u wrt u? -860694288 What is the derivative of -11778*g**2*k - 15*g**2 + 8*g*k*y + k*y + 83731*y + 12 wrt g? -23556*g*k - 30*g + 8*k*y Differentiate 12*j**2 - 3000*j*o + 132*j - 80084459*o with respect to j. 24*j - 3000*o + 132 Differentiate -891910825*h**2 + 355371528. -1783821650*h Find the second derivative of 174559636*p**4 + 307466702*p. 2094715632*p**2 Find the third derivative of -58*v**6 + 21316*v**4 + 2*v**3 + v**2 - 1258070*v. -6960*v**3 + 511584*v + 12 What is the third derivative of 123*f**3*h**4 + 21*f**3*h**2 + 396*f**2*h**5 + 5*f**2*h**2 - 396*f*h + f wrt h? 2952*f**3*h + 23760*f**2*h**2 Find the second derivative of 2135*k**3 - 468*k**2 + 102600*k - 62. 12810*k - 936 Find the second derivative of 14275*p**3 - 33*p**2 + 89899148*p wrt p. 85650*p - 66 What is the third derivative of -3953*m**5 + 2076*m**4 + 2*m**2 + 5006394 wrt m? -237180*m**2 + 49824*m What is the third derivative of 12999015*n**2*u**3 + 30*n**2*u + 7*n*u**3 + 4*n*u**2 + n*u + n + u**2 + 131*u wrt u? 77994090*n**2 + 42*n What is the derivative of 165075324*s**4 + 383056864 wrt s? 660301296*s**3 What is the derivative of -88884741*u + 123688192? -88884741 What is the third derivative of 158*c**3*i**3*x - 3*c**3*i**2*x - 4*c**3 - 79698*c**2*i**3*x - 12573044*c**2*i*x wrt i? 948*c**3*x - 478188*c**2*x Find the second derivative of 15546525*r**2 - 430*r - 6951. 31093050 What is the first derivative of 91365337*j**4 + 68733552 wrt j? 365461348*j**3 Differentiate -10*c**4 + 1265185*c**3*m - 384374565*m wrt c. -40*c**3 + 3795555*c**2*m Find the third derivative of 2363*c**3*z**2 - 8550*c**3*z + 17*c**2*z**2 + 4*c - 58*z**2 + 12 wrt c. 14178*z**2 - 51300*z Find the first derivative of -1914*k**2*r**2 + 175*k**2 + 9929*k*r**2 - 44017*k + r**2 wrt r. -3828*k**2*r + 19858*k*r + 2*r What is the third derivative of 160703*q**4 - 337*q**3 - 4670641*q**2 - q - 2 wrt q? 3856872*q - 2022 What is the first derivative of 39764012*t**3 - 22747684? 119292036*t**2 Find the first derivative of -79*f*r + 87222*f - 1030959*r - 214 wrt r. -79*f - 1030959 What is the third derivative of -4*o**5 + 28507*o**4 + 41*o**3 + 65595423*o**2 wrt o? -240*o**2 + 684168*o + 246 What is the third derivative of 1752015*m**3 + 1320*m**2 - 2*m + 1027? 10512090 Find the third derivative of 30193818*d**3 - 2241*d**2 - 3316*d + 2. 181162908 What is the second derivative of -3770*m**3*z**2 - 322*m**3*z - 9*m**2*z**2 - 203*m - 5*z**2 + 2*z wrt z? -7540*m**3 - 18*m**2 - 10 Differentiate -50821517*j*u**2*x**3 + 1208*u**2*x**3 + 2*u**2 + u*x**3 - u*x**2 + 53*x**3 + 16*x wrt j. -50821517*u**2*x**3 Differentiate -99*i*m*u - 831*i*m + 14*i*u - 3*i - 10*m*u**2 + 6*u**2 - 697 with respect to u. -99*i*m + 14*i - 20*m*u + 12*u What is the third derivative of -19233*p**5*z + 31*p**4*z - 197*p**2*z + 2*p*z + 183*p wrt p? -1153980*p**2*z + 744*p*z Differentiate 3122*b**3*n + 7786*b*n**3 + 213*n**3 - 1223*n - 8 wrt b. 9366*b**2*n + 7786*n**3 Find the third derivative of -247741365*a**3 + 127863829*a**2. -1486448190 Find the second derivative of 38413*k*n**4 - 227*k*n**3 + 8255*k*n - 3*k - n - 5 wrt n. 460956*k*n**2 - 1362*k*n What is the third derivative of -2*d*f**4 + 27*d*f**2*u + 4*d*u + 2*d + 6918834*f**4 - 2*f**3*u - 192*f**2*u - 259*u - 1 wrt f? -48*d*f + 166052016*f - 12*u What is the third derivative of 3*j**5 + 2*j**4 + 703989*j**3 + 347385059*j**2? 180*j**2 + 48*j + 4223934 Differentiate -335455450*h*n*y**2 + 3668777*h + 13*y**2 wrt n. -335455450*h*y**2 Find the third derivative of 1050556*x**6 - 28902*x**2 - 6*x - 1. 126066720*x**3 What is the derivative of -3*a**3*i - a**3*v + 472*a**3 + a**2*i*v - 9*a**2*i + 458*a - 28808628*i*v - 1 wrt v? -a**3 + a**2*i - 28808628*i Find the third derivative of 285*q**3*w**3 - 180625*q**3*w**2 - 2*q**3 + q**2 + q*w**3 + 11*q*w**2 - 101*q - 10*w**2 wrt q. 1710*w**3 - 1083750*w**2 - 12 Find the first derivative of -1697368*a*v + 6*a - 3444422*v - 2 wrt a. -1697368*v + 6 What is the third derivative of 11*d*r**3 + d*r**2 - 1161*d*r - 718*d + 21687950*r**3 + 58*r wrt r? 66*d + 130127700 What is the second derivative of 7119*s**3 - 7090*s**2 - 294581983*s wrt s? 42714*s - 14180 Find the first derivative of -12705231*w + 9618584. -12705231 Differentiate -o**3 + o**2 - 6505045*o + 1107489 with respect to o. -3*o**2 + 2*o - 6505045 What is the first derivative of h**3 + 411916
{ "pile_set_name": "DM Mathematics" }
7*o**2 + 2*o**2 + 3*o**2) + (o - o + o**2)*(-5*o + 3*o + o). 27*o**3 Expand (7*p**2 - 3*p**2 - 2*p**2)*(4 - 4 - p)*(-2*p**2 - 4*p + 4*p + (-3 + 3 + 2*p)*(-p - p + 4*p) - 61 - 12*p**2 + 0*p**2 + 13*p**2). -6*p**5 + 122*p**3 Expand (-539*f**2 + 552*f**2 + 1709*f**2 + 148*f**2)*(f - f - 2 + f**3). 1870*f**5 - 3740*f**2 Expand (-f + f - 2*f)*(10*f - 10*f + 8*f**4) - 18*f**5 - 100*f + 100*f. -34*f**5 Expand ((0*q - q**2 + 0*q)*(5 - 1 - 3) - 2*q**2 + 0*q + 0*q + q**2 + 2*q**2 - 4*q**2 + (0 - 1 + 3)*(1 - 1 + 2*q**2) - q**2 - 2*q + 2*q)*(-372 + 372 - 90*q**2). 90*q**4 Expand (h**2 + 3*h - 3*h)*(0 + 2*h**2 + 0) + 373*h**4 + 25776 - 25776 + (-2*h**2 - 2*h**2 + 2*h**2)*(-3 + 3 - h**2). 377*h**4 Expand (4*p + 0*p - 2*p)*(-5 + 5 + p) + 147*p + 3*p**2 - 8*p + 24*p. 5*p**2 + 163*p Expand (-a + a + a**2)*(-a - 2 + 2)*(4 - 1 - 1) - 6*a**2 + a**3 + 6*a**2 + (0*a**3 + 4*a**3 - 5*a**3)*(4 - 1 + 0). -4*a**3 Expand (3*k - 3*k - k + (-5 + 1 - 2)*(0*k + 2*k - k))*(-k - 3*k**2 + k). 21*k**3 Expand h**2 + 2*h**2 - h**2 + (-2*h + 3*h + 0*h)*(0*h - 3*h + 5*h) - 2*h + 2*h**2 + 2*h + (0 + 0 - 12*h**2)*(1 + 0 + 1). -18*h**2 Expand ((3 + 5 + 1)*(3*j + 0*j - 2*j) + 0 + 0 - 2*j)*(0 - 3 + 4). 7*j Expand w - 4*w + w + (2*w - 3 + 3)*(-2 + 3 + 1) - 2*w - 6*w - 4*w + w - w + 4*w + 3*w - 5*w + 0*w. -8*w Expand (217 - 375 - 323)*(0*c + c**2 + 0*c). -481*c**2 Expand (3*g**2 + 1 - 1 + 3*g**2 - 5*g**2 + 4*g**2 + (2*g**2 - g**2 - 2*g**2)*(-3 + 4 - 3) + 3*g - 5*g + 4*g + 3*g**2)*(-2*g + 6*g - 3*g). 10*g**3 + 2*g**2 Expand (-2*g + 4 - 4)*(-140 + 43 - 34)*(-g**3 - 2*g**3 + 0*g**3). -786*g**4 Expand 3*n**4 + 0*n**2 + 0*n**2 + (370 - 27*n**2 - 370)*((2*n + n - 6*n)*(3*n - n + 0*n) + 2*n**2 - 4*n**2 + 3*n**2 + 2*n**2 - 3*n**2 - 3*n**2). 246*n**4 Expand (-2 - 1 + 1 + (-3 + 2 + 0)*(0 + 1 - 4 + (2 + 2 - 2)*(3 - 6 + 1)))*(110*i - 110*i - 11*i**5). -55*i**5 Expand (-17*k + 17*k + 25*k)*(2*k**3 + 2*k**3 - 2*k**3) + k**4 - k**4 - k**4 - 5 - 2*k**4 + 5. 47*k**4 Expand (10*o**2 - 10*o**2 + 89*o**4)*(-8 - o - o + 11). -178*o**5 + 267*o**4 Expand (2*y**3 - 3*y**2 + 3*y**2)*(0*y + 9*y + 250*y**2 - 219*y**2). 62*y**5 + 18*y**4 Expand (2594*r**2 - r - 2535*r**2 + 3 + r)*(-6*r - r**2 + 6*r). -59*r**4 - 3*r**2 Expand (0*f - 3*f + 2*f)*((-5 + 5 - 4*f)*(5 - 1 - 2) - f + 4*f - 4*f - 1 + 1 + 2*f + 6*f - 3*f - f + 2*f - 3 + 3 + (1 + 2*f - 1)*(-1 + 6 - 3)). -f**2 Expand (-38 + 32 - 88)*(3*o - 3*o + o**4). -94*o**4 Expand 0*f**3 + 3*f**3 + 2*f**3 + (-6*f + 2*f + 3*f)*(2*f + f - 5*f)*(f - f + 2*f). 9*f**3 Expand (i**2 - 2*i**2 + 0*i**2)*(-72*i - 74*i + 2 + 149*i). -3*i**3 - 2*i**2 Expand (11 + 3 - 17)*(15*t + 18*t - 14*t). -57*t Expand -411*n + 751*n - 611*n + (4 - 4 + 2*n)*(-2 - 1 + 1). -275*n Expand (7 + 23*a + 13*a - 9)*(3 - 1 - 1). 36*a - 2 Expand (-4*m**4 - 4*m**4 + 4*m**4)*(-6 + 1 + 1) - m**2 + m**2 - m**4 + 9*m**3 - m**4 - m - 9*m**3. 14*m**4 - m Expand 19*w - 1 - 2 - 20*w + (14 + w - 14)*(4 + 0 - 3) + (1 - 3 + 0)*(4*w - 3*w + 0*w) + 0*w + 0*w - w. -3*w - 3 Expand 0*i**4 + 0*i**4 + i**4 + (-3*i**2 + 4*i**2 - 2*i**2)*(-2*i**2 - 2*i**2 + 2*i**2) - 2*i - 178*i**4 + 0*i**2 + 177*i**4 + 8*i**2. 2*i**4 + 8*i**2 - 2*i Expand (-t**2 - 4*t + 4*t)*(374*t**3 - 581*t**3 + 1258*t**3). -1051*t**5 Expand (-9*d + 11*d + 0 - 4)*(15*d**2 + 42*d - 42*d)*(d**2 + 4*d**2 - 2*d**2). 90*d**5 - 180*d**4 Expand (-2 - 1 + 2)*(-455*h + 150*h + 2892 + 153*h + 154*h). -2*h - 2892 Expand -3*o + 2*o + 2 + 3*o + (5*o - o + 0*o)*(-6 + 1 + 0). -18*o + 2 Expand (11 - 5*c - 27 + 23)*(5 - 1 - 3). -5*c + 7 Expand (-3*g**2 + 3*g - 3*g)*(4 + 5 - 3 + 1 - 2 + 3 + (-2 + 0 + 4)*(-1 - 1 + 1)) + 2 - 2 - 3*g**2. -21*g**2 Expand (x**4 - 4*x**4 + x**4)*((-2 + 2 - 2)*(-200*x + 101*x + 93*x) + 5*x - x - x). -30*x**5 Expand (-1 - 3*r**4 + 1)*(-4 + 1 + 5) + (2*r**2 + 0*r**2 - 5*r**2)*(0*r**2 + 2*r**2 - 3*r**2) + 2*r**4 - 2*r**4 - 2*r**4. -5*r**4 Expand -w - 6*w**4 - w + 7*w**4 + (3 + 2*w**2 - w**2 - 1)*(2*w**2 + 3*w**2 + w**2). 7*w**4 + 12*w**2 - 2*w Expand (-2*b - 2 + 2)*(-168 + 53 + 29)*(1 - 2 + 2). 172*b Expand (0*x**5 - 7*x**5 + x**5)*(21 - 24 + 45). -252*x**5 Expand (16*x + 10*x + 24*x)*(2 + 2 + 2)*(-4 + 3 + 0). -300*x Expand (-15*u + 3*u + 1 + 4)*(-3*u + 7*u - 9*u). 60*u**2 - 25*u Expand (-3*j + 7*j + 0*j)*(3*j + j + j)*(-1 + 1 + j). 20*j**3 Expand ((35*d + 13*d + 4*d)*(-2 + 2 - 1) + d + 0*d - 2*d)*(d**3 + d**3 - 3*d**3). 53*d**4 Expand (1 + c**3 - 1)*(-765*c + 478*c + 1099*c). 812*c**4 Expand i**4 - i**4 - i**5 + (-2*i + 5*i - 2*i)*(-4*i**4 + 2*i**4 + 3*i**4) + 17*i**4 - 17*i**4 + 9*i**5. 9*i**5 Expand (-2 - 2 - 8)*((-a - a + 4*a)*(2 - 3 + 2) + 7*a - 6 + 6). -108*a Expand (3 + 0 - 2)*(-r - 2*r**3 + r)*(10*r**2 - 47*r**2 + 0*r**2) + (3*r**2 - r**2 + 0*r**2)*(-2 + r**3 + 2). 76*r**5 Expand (0*d + d + 0*d)*(-3*d + d + d + (2*d + d - d)*(1 + 3 - 2) + 3 - 3 + 2*d + d + 0 + 0 + 0*d - d + 0*d + (-2*d + 2*d + 2*d)*(-5 + 5 - 1)). 3*d**2 Expand (0*v + 2*v + v + (0 + 0 + 1)*(v + 2*v - 4*v) + v + 0*v + 6*v)*(-67 + 66 - 39). -360*v Expand (-3 + 2*l + 3)*(1 + 0 - 2)*(-2*l**2 - 3*l**2 - 4*l**2). 18*l**3 Expand ((-9 + 3 + 2)*(3 + 1 - 6) - 2 + 0 + 3)*(q**2 - 3*q + 3*q - 14 + 14 - 5*q**2 + (3 - 4 + 2)*(-2*q**2 + 1 - 1) + 4*q**2 - 4*q**2 - q**2). -63*q**2 Expand -2 + 3*r**5 + 2 - 2*r**5 - 2*r**5 + 6*r**5 + (-1 - r + 1)*(-r**3 + r**3 + 2*r**4) - 2*r**5 + 0*r**2 + 0*r**2 + 24*r**5 - 12*r**5 - 7*r**5. 6*r**5 Expand (-67*s**5 - 3639*s**4 + 3639*s**4)*(6 - 1 - 3). -134*s**5 Expand (0*f + f + f + (2 - 3 + 3)*(-10*f - 10*f + 5*f))*(2*f - 2*f + 2*f)*(3*f**2 - 3*f**2 - 3*f**2). 168*f**4 Expand (-z**3 - 88 - 81 + 155)*(0 - 3 + 5)*(4*z + 18 - 3*z - 2*z). 2*z**4 - 36*z**3 + 28*z - 504 Expand (2 + 3 - 7)*(-1 - 2*g + 1)*(-47 - 33 + 37) - 5*g + 12*g + 4*g. -161*g Expand (-29*m**3 + 1074 - 1074)*(-5 + 3 - 14). 464*m**3 Expand (20*j**3 - j**3 + 3*j**3)*(-10 + 72*j + 27 - 17). 1584*j**4 Expand (b - 2 + 2)*((-2 + 0 + 0)*(-5 + 0 + 1) + 1 + 12 + 4). 25*b Expand 38*t - 251 - 326 + 572 - t + t + t - t - 2*t + 2*t + (-1 + 3 - 1)*(-3*t + 4*t - 2*t). 37*t - 5 Expand (-3 - 1 + 2)*(-12*t + 28*t + 1231 - 15*t). -2*t - 2462 Expand -6*g + 5*g - 14*g + (7*g - 2*g - 3*g)*(1 + 2 - 2 + (-5 + 1 + 2)*(-4 - 2 - 2)). 19*g Expand -b**5 - 1 + 1 + (76 - 95 + 42)*(-4*b**5 + 2*b**5 + b**5). -24*b**5 Expand -2*d**3 - 4*d**3 + 4*d**3 + (6*d - 8 + 8)*(-3*d**2 + 3*d**2 + 2*d**2 + (4 - 2 - 4)*(-2 + 2*d**2 + 2) + d**2 + 1 - 1). -8*d**3 Expand (-30*p - p - 35*p)*(0*p**3 + 0*p**3 - 2*p**3)*(5 - 3 + 4). 792*p**4 Expand ((-19 - 10 + 4)*(0 + y + 0) - 4*y - 2*y + 3*y)*(y - 3*y + 6*y). -112*y**2 Expand (5*w - 2*w - 2*w)*(-429*w**3 + 429*w**3 + 153*w**4) + 5*w**5 - 2*w**5 - 5*w**5 - 3*w**5 - 1 + 1. 148*w**5 Expand (h + 0*h - 3*h)*(-3 - 2 + 7) - 83*h - 84 + 43*h + 39*h + 2*h + 12 - 12. -3*h - 84 Expand (0*p + 2*p - 4*p)*(-4 + 2 + 4) + 26*p - 15*p + 494 - 9*p. -2*p + 494 Expand (-3*u + 3 - 3)*(35*u - 8*u - 2*u)*(-u**2 - 3 + 3 + (3 + 0 - 2)*(2*u**2 - 3*u + 3*u) - 71*u + 71*u + 15*u**2 + u - 2*u**2 - u). -1050*u**4 Expand (-z**5 + 0*z**5 + 2*z**5)*(42 + 49 + 1) - 2*z + z**5 + 2*z. 93*z**5 Expand (-23*v**2 + 16887*v - 16887*v)*(1 - 1 - 2)*(-4*v - 3 + 3)*(0 - 2 + 4). -368*v**3 Expand (2*b - b + b)*(-1 + 46 - 206 - 510). -1342*b Expand -14*p**2 - 348 + 348 + p**2 - p**2 - p**2 + (0*p + p + p)*(-3 + 3*p + 3). -9*p**2 Expand -5*h**3 + 3*h**3 - 3*h**3 + (-2*h - 4*h + 7*h)*(-h + 2*h**2 + h) + 16*h**2 - 16*h**2 + 7*h**3 + (-3 + 3 - h)*(2*h**2 - h**2 - 3*h**2). 6*h**3 Expand (104 - 104 + 17*y)*(-7 + 7 - 12*y**2 + 85*y**2 + 0). 1241*y**3 Expand (-13 + 3*i + i + 16)*(3*i + 0*i - 2*i). 4*i**2 + 3*i Expand (2*c**2 - 4*c**2 + 0*c**2)*(3 - 3 + c**2 + (0 - 1 + 0)*(c + 3 - 3)*(-11 - c + 11)). -4*c**4 Expand -81*q**3 + 0*q**3 + 2*q + 0*q + 0*q**3 - 4*q**3 + 3*q**3 + (-3*q**2 + 6*q**2 - q**2)*(-3*q + q + 4*q). -78*q**3 + 2*q Expand (-3 + 3 + 4*i**3)*(2 - 2 + 2*i)*(4 - 3 - 2) - 9*i**4 + 3*i**4 + 0*i**4. -14*i**4 Expand (4*y - 8*y - 29 + 52)*(y**3 - y**4 - y**3) + (-3*y**4 + y**4 + y**4)*(-4 + 4 - 2*y). 6*y**5 - 23*y**4 Expand (-4*i**2 + i**2 + 5*i**2)*(-i + 3*i - 3*i) + (3*i + i - 3*i)*(15*i**2 - 9*i**2 + 42*i**2). 46*i**3 Expand (2 + 6 + 0)*(0*s - 2*s - s). -24*s Expand (-2*r**2 - 2*r + 2*r)*(0 - 2*r**2 + 0 + (4*r + 7 - 7)*(3*r - 6*r - 3*r)). 52*r**4 Expand (54 - 54 - 21*u)*(u**2 + 2*u**2 + u**2) + (3*u - 2*u + 2*u)*(2*u**2 + 4*u**2 - 4*u**2). -78*u
{ "pile_set_name": "DM Mathematics" }
h, -0.1 in increasing order. h, -0.1, 3/4 Let x = -5 + 4. Let g(l) = -l**3 + 5*l**2 + 2*l - 3. Let w be g(5). Let o = w - 7. Put x, o, 4 in increasing order. x, o, 4 Let w = -0.6 - -3.6. Let g = w - 3.08. Let l = -2.92 + g. Sort 2/3, 2/15, l in increasing order. l, 2/15, 2/3 Let l = -2.08 - -0.08. Sort 0.2, 2/9, l in descending order. 2/9, 0.2, l Suppose -5*x + 9 = -16. Let p be 20/6 - (3 - 16/6). Sort x, 0, p. 0, p, x Suppose 4 = 3*b - 11. Let c = -42.1 - -42. Sort -2/13, c, b in increasing order. -2/13, c, b Suppose 0 = -2*z - 2*z + 20. Suppose -z*c - 2*s = 3*s - 60, -20 = -2*c - s. Let u = 6 - c. Put -5, 0, u in decreasing order. 0, u, -5 Let v = 158/3 - 53. Let l be 1*(0 - (-5 + 0)). Put l, v, 1 in increasing order. v, 1, l Suppose -5*r + 25 = -5*q, -4*r + 5*q + 13 + 12 = 0. Put -1/4, r, 1/5 in decreasing order. 1/5, r, -1/4 Let i = -5.05 + 0.05. Sort i, 0.5, -1/6. i, -1/6, 0.5 Let b = 9 - 9.8. Let x = 1 - 1.2. Let v = x + b. Sort 2, -3, v. -3, v, 2 Suppose -2*a - 5*x = -7, -4*x = -2*a + 5*a - 7. Put a, -5, 3 in ascending order. -5, a, 3 Let n be (-3)/(-1) - (-1028)/(-315). Let z = n - 1/45. Sort -5, z, -2 in ascending order. -5, -2, z Let z = -1 - -4. Let f = 5 + -5. Suppose 2 = -4*d - 2*r - f, 2 = -3*d - 2*r. Sort d, z, -1 in descending order. z, d, -1 Let h = 0 - 0. Let r = 5 + -9. Let n = r - -8. Sort n, h, 0.4 in descending order. n, 0.4, h Let v(m) = m**3 + 6*m**2 - 7*m + 1. Let a be v(-7). Let o = 13 - 8. Sort a, o, -1. -1, a, o Suppose -3*i - i - 16 = 0. Let p(m) = -3*m + 2. Let f be p(2). Let z(w) = w**2 + 3*w - 2. Let x be z(f). Sort i, x, 0 in ascending order. i, 0, x Let f be -19 + 12 + (-2)/(-1). Suppose 2*s = -s - 6. Put f, s, 12 in decreasing order. 12, s, f Let b = 0.5 - 0.3. Let h(t) = -t**2 + 6*t - 4. Let w be h(4). Suppose w = k - 0*k. Sort -1, k, b. -1, b, k Let c = -0.106 + 0.071. Sort -2, 0.3, c in ascending order. -2, c, 0.3 Let f = 3 + -7. Suppose -5*y + 18 = 3. Suppose -y - 6 = -3*j. Put j, f, -5 in ascending order. -5, f, j Let r be (-18)/4*6/(-9). Let l(k) = k**3 - 12*k**2 + 13*k - 11. Let o be l(11). Let n = o - 13. Put 4, n, r in decreasing order. 4, r, n Let g = 8.9 - 4.9. Sort g, -2, 6 in ascending order. -2, g, 6 Let m = -34 + 203/6. Let t = 65.05 + -67. Let j = 0.05 - t. Sort j, -2/11, m in increasing order. -2/11, m, j Let t be (4/12)/(2/6). Let b be 6/(-3) + 1 + -2. Put b, t, 3 in ascending order. b, t, 3 Suppose 0 = 5*j - 5 + 25. Let l be (-6)/9*(1 + j). Sort l, -1, -5. -5, -1, l Suppose -3*y - y + 16 = 0. Let c(p) = p**2. Let i be c(3). Let b = i - 4. Sort y, -4, b in descending order. b, y, -4 Suppose 5*f + 15 = -0. Let y(m) = 4*m**2 + m. Let d be y(-1). Put f, d, -5 in increasing order. -5, f, d Suppose q = 3*z + 2 - 10, -2*q = -z + 1. Let k = -0.9 - -9.9. Let d = k - 11. Sort 0, d, q in decreasing order. q, 0, d Let l(o) = o**3 + 9*o**2 - 9*o + 13. Let v be l(-10). Put v, -4, -5 in decreasing order. v, -4, -5 Let n be 8/(-44) + (-26)/(-22). Suppose -4*j + 0*j - 12 = 2*s, 2*s - j = 13. Let f = -6 + s. Sort n, f, 5 in descending order. 5, n, f Let t = -16.3 - -16. Let f = 0.2 - 0.2. Sort t, 0.2, f in decreasing order. 0.2, f, t Let t be (3/4)/(3/2). Let o = 0.5 + -0.9. Sort 2, o, t in decreasing order. 2, t, o Let q(c) = 2*c**2 + 2*c. Let d be 12 - 6 - (-2)/(-1). Suppose d*z - 2 = 5*z. Let t be q(z). Put -5, t, 5 in descending order. 5, t, -5 Let p = 0.5 + -0.3. Let x be 20/8 + 3/(-2). Let n be (-3 + (-15)/(-6))/x. Put 3, p, n in decreasing order. 3, p, n Let s(r) = r**2 + 6*r + 4. Let j be s(-6). Suppose -j*c + 5*c = -3. Sort -4, 0, c in decreasing order. 0, c, -4 Suppose -7 = 4*q + 5. Let n be q/(-3*(-1)/2). Sort n, -4, -1 in descending order. -1, n, -4 Let l(t) = t**3 - 1 + 4*t + 5*t**2 + 1. Let o be l(-4). Let n be ((-4)/3 + 1)*o. Sort 2, 3, n. n, 2, 3 Let d(i) = i**3 - 4*i**2 + 3*i + 2. Let n be d(3). Suppose n*h - 5 = 3. Put h, -5, -2 in decreasing order. h, -2, -5 Let z = -0.9 + 0.4. Let i = 8 + -5. Let w be 2/6*(i + 0). Sort z, 3, w in descending order. 3, w, z Suppose 3*b = -0*c - 4*c - 26, -2*b + 5*c - 25 = 0. Let j = b + 5. Sort -3, 3, j in ascending order. j, -3, 3 Let j = 11 + -8.4. Let w = -0.4 - j. Sort 3, w, 2/5 in descending order. 3, 2/5, w Let u be 12/(1076/(-1008) - -1). Let h(j) = -11*j**2 + j + 2. Let d be h(-4). Let n = u - d. Sort n, 0.3, 0. 0, n, 0.3 Let y = -11 + 7. Suppose 2*s + 4*h - 2*h = 4, -7 = -5*s - 2*h. Sort s, y, -5 in decreasing order. s, y, -5 Let j = -139 + 133. Sort j, -4, 3 in descending order. 3, -4, j Suppose -t - 2*t = 45. Sort t, -5, -2 in ascending order. t, -5, -2 Let f be (0 + 1)*(1 + -2). Put -0.3, -3, f in descending order. -0.3, f, -3 Let m be ((-4)/(-2) - 4)/(48/(-4)). Let h = 2 + -2.2. Put h, m, -0.3 in decreasing order. m, h, -0.3 Suppose -10 = -0*d + 2*d. Let f(r) = r**3 + r + 1. Let s be f(-1). Suppose -4*i - 2*g - 4 = -6*i, 5*g + 16 = 2*i. Sort i, d, s in increasing order. d, i, s Let o = 163/2 + -83. Put 1/7, o, 1/3 in descending order. 1/3, 1/7, o Suppose 2*r + 17*r = 76. Sort 0, -4, r, 8 in ascending order. -4, 0, r, 8 Let o(b) = -b + 1. Let m(i) = 28*i - 1. Let t(y) = -m(y) - 5*o(y). Let g be t(4). Let l = g + 1246/13. Put 0, -4/3, l in decreasing order. 0, l, -4/3 Let a be (-6)/(-21) - 2/7. Let n = 4 - 8. Put 4, a, n in descending order. 4, a, n Let b = 2895/11 + -263. Put 5, b, -2/15 in increasing order. -2/15, b, 5 Let b(g) = g**2 + 2*g + 2. Let v be b(-3). Suppose -v*i = -2*i - 18. Let u be -8 + i*1/2. Put 0, u, -1 in increasing order. u, -1, 0 Let i(z) = z**3 - 8*z**2 + 15*z - 12. Let w be i(6). Put w, -1, -1/8 in increasing order. -1, -1/8, w Let i = -1.07 - -0.07. Let t = i - -0.5. Let d = 487/6 + -81. Sort -0.2, d, t. t, -0.2, d Suppose -2*s - 2*f + 8 = -0*s, 5*s - 18 = -4*f. Let j(n) = n**3 + 5*n**2 + 3*n - 3. Let o be j(-4). Sort -3, s, o in ascending order. -3, o, s Let r = -2 + 3. Let n = r + 2. Let j = -0.04 + -0.36. Put j, -2, n in descending order. n, j, -2 Let f(q) = -q**3 - 4*q**2 + 3*q - 7. Let o be f(-5). Let p(z) = z - 4. Let r be p(0). Let l be r/(-22) - o/(-165). Put l, 5, 2/3 in descending order. 5, 2/3, l Let k = 42 - 44. Put -1/2, k, 5 in increasing order. k, -1/2, 5 Let u = -2.04 - -0.04. Let q = -2.4 - u. Sort 0, 2, q in increasing order. q, 0, 2 Let o = -46 - -42. Sort -2, 1, -5, o in ascending order. -5, o, -2, 1 Let o = 8 - 6. Let b be (o/6)/(1/9). Sort 5, b, -2 in descending order. 5, b, -2 Let q(z) = -z**2 - 4*z + 7. Suppose -j + 2 = 7. Let a be q(j). Suppose 2*p + 5*m = -p + 5, 5*p - 2*m = -a. Sort p, 5, -1. -1, p, 5 Let m = 5.2 + -0.2. Let y = -0.2 + -0.8. Let k = 1693/66 + -155/6. Put m, y, k in decreasing order. m, k, y Let i = 19 - 15. Put 2/5, -2/3, i in ascending order. -2/3, 2/5, i Let n(g) = -g - 2. Let l be n(-5). Let k be (l/(-2))/((-4)/(-8)). Let c = -0.1 + 0.2. Sort k, c, 0.3 in increasing order. k, c, 0.3 Let a = 12 - 16. Sort -3, 2, a, 1 in decreasing order. 2, 1, -3, a Let j be (-1)/5 + 8/(-60). Sort j, 5, 0.4, 3. j, 0.4, 3, 5 Suppose 0 = -5*g + 15 - 0. Suppose -r = -0*a + g*a - 15, r + 20 = 4*a. Sort -2, a, 1 in ascending order. -2, 1, a Suppose 0 + 12 = 4*p. Suppose 2*f - 3 + 1 = 0. Let i be 1 - 3/(p/f). Put -4, i, 3 in descending order. 3, i, -4 Let g be ((-9)/(-9))/((-10)/118). Let r = g - -679/55. Suppose -3*n - 12 = 3. Sort r, 2/7, n in increasing order. n, 2/7, r Let h = -21 + 26. Sort h, 2, -3. -3, 2, h Suppose -2*p + 5 = 3. Let s = -64 + 60. Put s, p, 5 in ascending order. s, p, 5 Let y(b) = -b. Suppose 3*j = 5*p + 10, p - 3*j + 0*j + 2 = 0. Let w be y(p). Let c be 3/(-9)*(1 - w). Sort c, -0.2, 0.1 in ascending order. -0.2, 0.1, c Let m = -8 - -3. Let d be -4 - (-3 + (-2 - m)). Let w = -0.5 + -0.5. Sort d, w, -2 in decreasing order. w, -2, d Let c = -257800/231 - -1116. Let t = 10/33 + c. Put t, 0.1, 4 in decreasing order. 4, t, 0.1 Let r = -0.7 - -0.6. Let o be (2/4)/(1/4). Sort o, -0.3, r in increasing order. -0.3, r, o Let c = -4/5 - -38/35. Let z be 4*50 - 18/27. Let q = 201 - z. Sort q, 1/2, c. c, 1/2, q Suppose 10*h = 5*h + 15. Suppose -6 + 30 = -2*y. Let k be 6/8 + 19/y. Put k, -5, h in ascending order. -5, k, h Let j = 27 - 24. Let g be 1/4 + 21/(-4). Sort -2, g, j in increasing order. g, -2, j Let i = 8.86 + -9. Let k = 0.06 - i. Put -0.05, k, -2/3 in descending order. k,
{ "pile_set_name": "DM Mathematics" }
rest to 2/5 in -4, -18.4, -4/3, g? g Let w be ((-6)/(-75))/((-319)/220 + 20/16). What is the nearest to 8 in w, 0.3, -0.01, 3? 3 Let g = 103.7 + 107.8. Let c = -212 + g. What is the nearest to -4/31 in c, -0.3, -2/7? -2/7 Let k be (16/(-12)*3)/(52/(-39)). What is the closest to 12 in 0.4, k, -4, -0.5? k Let f = -2.07 - -0.07. Let o = -140101/5 + 28020. Which is the nearest to 18? (a) o (b) f (c) 1 c Let x = -2742 + 2743. Which is the closest to x? (a) 3 (b) -39 (c) 5 (d) 2 d Suppose 5*d - 80 + 20 = -4*q, 2*d = q + 37. Suppose -d*l + 128 = -24*l. What is the nearest to 4 in 3, -1/5, l? 3 Let d be ((-4)/8)/((-42)/9804). Let u = d + -117. Which is the closest to -0.2? (a) -0.2 (b) -0.9 (c) u a Let d = -0.7817 - -1.7817. What is the nearest to d in 3, -3/2, 0.5, 40? 0.5 Let p = 37.06 - 37.16. Which is the closest to 2? (a) -5 (b) -0.03 (c) p (d) -2/3 b Let k be (0/(-2))/(1 + -4) - 0/(-75). Which is the nearest to k? (a) 0.1 (b) 0.2 (c) 3/23 (d) -3 a Let u = -35 - -35.2. Let l = 122 - -23. Let f = l + -145.3. Which is the nearest to u? (a) 4 (b) f (c) 0.4 c Let t = -11674/3 + 3892. What is the closest to -42/37 in t, -2/5, -2? -2/5 Let j = -1569 - -1569. What is the nearest to 2/5 in -1/3, -11/6, j? j Let o = -210 + 347. Let k = o + -134. What is the nearest to 4 in -4/7, -1/3, k? k Let n = -2249 - -2346. Which is the closest to 1? (a) -0.3 (b) n (c) 0 c Let w be (8568/15)/(-2) + 1. Let q = w + 284. Let d = 0.5 + -0.7. What is the closest to -0.03 in q, d, 2/13? d Let i = 0.1859 - -0.0821. Which is the nearest to 0.1? (a) 1/5 (b) i (c) -0.5 a Let x = -28.28 + 28.8. Let r = x + 2.48. Which is the closest to 1.2? (a) r (b) 1/5 (c) -4 b Let m = -1/2 - -1. Let x = -0.5 + 0.3. Let h = 0.3615 - 3.3615. Which is the nearest to m? (a) h (b) x (c) -5 b Let s be (-155 - -153)/((-24)/(-15)). Which is the nearest to -0.04? (a) -8 (b) s (c) -0.3 c Let w = 1/89 - 181/267. Suppose -3 = n - 4. Let v be (-117)/(-108) + 85/(-102). Which is the closest to n? (a) v (b) w (c) -4/5 a Let b be 117*(-28)/(-378) - 8. What is the nearest to b in 2, -0.4, -0.24? -0.24 Let x be ((-2)/4)/(55/(-10) + 5)*-1. What is the closest to 21 in -0.11, x, 0.3? 0.3 Let v = 0.388 + -34.688. Let d = v - -34. Suppose 42*s - 36*s + 54 = 0. Which is the nearest to 0.1? (a) s (b) -5 (c) d c Let g = 10/217 + 2523/1085. Let f = 18/7 - g. Let q = 2206 + -2205. Which is the nearest to f? (a) 0.01 (b) q (c) 0.2 c Let c = -153/55 + 138/55. What is the nearest to c in -0.2, -3, -49? -0.2 Let d be (-4)/((3/(-30))/(1/8)). What is the closest to d in 2/9, 1/6, 0.4, -10? 0.4 Let z = -494.454 + 505.5. Let p = 0.046 - z. Let n = -10.4 - p. Which is the nearest to n? (a) -1 (b) 0 (c) -4 b Suppose 11*d + 4*d = 25 - 55. Which is the nearest to 4? (a) -2/5 (b) d (c) 13/34 c Let d be -4*((-45)/50 - -1). Let m = -27967/7760 + 312/97. Let g = m + -1/80. Which is the nearest to g? (a) d (b) 1 (c) 4/7 a Let l = -3647 + 3647. Which is the nearest to -2? (a) 2/7 (b) -1/8 (c) l (d) 1/2 b Let g(d) = 4*d**3 + 4*d**2 + 3*d - 1. Let j be g(-1). Let h = -13.03 - -13. Which is the closest to 1? (a) -2 (b) j (c) h c Let m be ((-118)/236)/(1 + 10/(-12)). Let v(h) = 4*h + 17. Let s be v(-5). Let x be (s/12)/(-1*1). Which is the nearest to -1? (a) x (b) -0.6 (c) m b Let t = 563285/3 + -187758. Let x = -3 - -3. What is the closest to -1/4 in -3, t, x, 0.2? x Let x = -40.42 - -40.02. Which is the closest to 9? (a) 0.023 (b) x (c) -4 (d) 0.2 d Let m be -14*(-15)/(-15) - -11. What is the nearest to m in -2/3, -3/2, 0, 11? -3/2 Let l be 1/(-1) - 14/(-10). Let y(c) = 160*c + 8. Let h be y(-2). Let g = h + 313. What is the closest to l in g, 3, -1/2? g Let u be ((-166)/25)/(6/10). Let o = -52/5 - u. Let m = 0.077 + -0.477. Which is the closest to o? (a) 2 (b) m (c) -2 b Suppose 3*d + 31 = -2*h, 0 = d - 3*h - 60 + 74. Which is the closest to d? (a) 0.2 (b) 35 (c) 0 c Let o = 0.2 - 0.4. Let g = -54350 - -54332. What is the closest to o in 2, 0.2, g, -0.2? -0.2 Let l(x) = x**2 - 28*x + 56. Let p be l(26). Suppose -2*f + h = 5, p*f - 2*h + 7 = -h. Let j be 4/(-3)*(-6)/4. What is the closest to f in -5, j, -7? j Let j = -502.5 - -502. Let v = -1699/88872 - -2/1587. What is the closest to 0 in v, 2, j, -1/10? v Suppose -7*i + 22 = -55. Suppose -127 = i*b + 203. Let g be (-1)/1 - (-6 - 155/b). What is the nearest to -1/4 in -1/5, 0, g? -1/5 Let w = 55.35 + -52.35. Let d = -115/4 - -29. Which is the closest to 16? (a) w (b) 2/5 (c) d a Let o = -22.525 - 0.275. Let j = -22.3 - o. What is the nearest to -57 in -3, -4, j? -4 Let i = -19 + 24. Let y = -0.1 - -63.1. Let l = 59 - y. What is the closest to 0 in l, -0.06, i? -0.06 Let i = 0.06602 - -2.99398. Which is the nearest to -0.2? (a) 0.4 (b) -4 (c) i a Suppose 26*x - 27*x = 1, 5*n + 4 = x. Let g = 89/2 + -43. Which is the nearest to g? (a) 0.06 (b) n (c) 0.5 c Let o = 625.24 - 624. Let q = o - 1.14. Which is the nearest to 2? (a) q (b) 0.5 (c) 0.06 b Suppose -16 = -14*o + 10*o. Let v = -6641/9 + 739. Let z = v + -65/18. Which is the nearest to 0.2? (a) o (b) -9 (c) z c Let s = -4140 - -4139.8. What is the nearest to -1 in 0.1, -0.092, -0.1, s? s Let p = -3069 + 12275/4. What is the nearest to p in 3, -4, -45? 3 Let i = -49 - -33. Let s = 2.5 + -3. Let w = 3271/24 - 1093/8. Which is the nearest to i? (a) w (b) 0.4 (c) s c Let l = 1800 - 1794. Which is the closest to -0.1? (a) -1/5 (b) l (c) -1/3 (d) -0.4 a Let v = -77302/45 + 9793/5. Let o = -241 + v. Let f be (8/42)/(4/(-6)). Which is the nearest to -1? (a) -0.2 (b) o (c) f c Let r be 1/(-5)*-12 + (-190)/475. Which is the nearest to 75? (a) -3/4 (b) -1/3 (c) r c Let i = 501 + -6515/13. Let x = -0.92 + -1.08. Which is the closest to 0.1? (a) 0.3 (b) i (c) x a Let g = 7.654 - 8.254. Which is the closest to 2? (a) -1.33 (b) g (c) 0.1 c Let z = -3145 - -22013/7. What is the nearest to -0.133 in -0.4, z, 5? z Suppose 106*i - 8*i + 10 - 10 = 0. Let y = -0.75 + 0.7. What is the nearest to 1 in y, i, -5? i Let y = 29/3 - 10. Let i = -62 + 62. Let v be 135/(-21) - -3 - (-6)/14. Which is the closest to i? (a) v (b) 2 (c) y c Let r = -30.75 - -30.6. Let f = 0.74 - 0.24. Let k = 3 - 10/3. Which is the closest to k? (a) r (b) -3 (c) f a Let h = -0.3 - -1.3. Let g = -1 + 1. Let b be (-1 + (-2 - -5))*2/(-20). What is the nearest to 2/7 in b, h, g? g Let k = 1859/629 + -105/37. What is the closest to 0 in 3, 4, k, -3/7? k Let j be (-352)/36 + 10/(-45). Let x be (3/j)/(78/(-195)). What is the nearest to -0.1 in -0.1, 10, x? -0.1 Suppose a + 3*v = 8, 109*a - v - 6 = 105*a. What is the nearest to 115/6 in -1, -0.1, a, -3? a Let p be 209/(-660) + -1*3/36. Which is the nearest to 2? (a) -0.7 (b) 47 (c) -2/11 (d) p c Let w = -2247 + 2239. Let v = -4 + 4. Which is the nearest to 0? (a) v (b) -1/5 (c) w a Suppose -p + 7*y = -11 - 10, -5*p - y - 3 = 0. Let h = -0.1 - -2.1. Let g = 4 - h. What is the closest to p in g, -1/2, 0.7? -1/2 Let l(u) = -4*u. Let r be l(-1). Let s = 312.8 - 312.77. Which is the nearest to -1? (a) r (b) 0 (c) s (d) -0.3 d Let q = 19/3 - 6. Let u = 0.0967 + 0.0033. What is the nearest to u in -0.3, 1, q, 2/5? q Let i = 1 + -10. Let o = i + 8. What is the nearest to o in -1, 4, -2? -1 Let c = -2203/8524 + 18/2131. What is the closest to 213 in c, -0.5, 0.07, 3/7? 3/7 Let o = -1328/5 + 266. Let f = -13.1 - -13. Let n = -70.3 - -70. Which is the nearest to 5? (a) n (b) o (c) f b Let k be ((-20)/(-24))/((-195)/78). Which is the nearest to -0.3? (a) 0.1 (b) -6 (c) k (d) 0.3 c Let r = 0.7545 - 4.7545. What is the nearest to 16 in r, -2/9, 1? 1 Suppose 13*l - 8*l - 5*f + 40 = 0, -2*l + 4*f - 20 = 0. Let c be (1 + -1)/(-2 - (l - -8)). What is the closest to -0.045 in c, -0.4, 0.3? c Let m = -248.0017 - -0.0017. Let w = m + 247.866. What is the nearest to w in -2, -1, 4? -1 Let o = -5324 + 21295/4. Which is the closest to 0.2? (a) o (b) 36 (c) 2/9 (d) 2 c Let i = -14088.9 - -14089. Let w = -2 - -2.3. Let s = -0.4 - 0.1. What is the closest to i in w, s, -4? w Let l = 19 + -62. Let x = -43.4 - l. Let m be -3*2/(-42) + 3/(-7). What is the closest to m in 0.4, x, 3? x Let l = 0.2 + -0.21. Let z = -88 - -198. Let h = -1
{ "pile_set_name": "DM Mathematics" }
late the lowest common multiple of 50967350 and 18. 458706150 Find the common denominator of -73/2301880 and -43/1150940. 2301880 Find the common denominator of 43/33590 and 61/722185. 1444370 Find the common denominator of -101/1616544 and 115/235746. 11315808 Find the common denominator of 99/20245376 and -101/8864. 20245376 Calculate the common denominator of -37/1847248 and 27/89024. 7388992 What is the least common multiple of 675785 and 805? 108801385 Calculate the common denominator of 25/264 and 161/31620. 695640 Calculate the smallest common multiple of 5327981 and 16300. 532798100 What is the common denominator of -91/220 and 109/79995340? 879948740 What is the least common multiple of 220 and 6597580? 6597580 Find the common denominator of -69/868 and 101/8608. 1867936 Find the common denominator of 47/7500097 and 32/543. 22500291 What is the common denominator of 49/20710959 and -11/301696? 2651002752 Calculate the smallest common multiple of 12756 and 11934. 25371684 Calculate the common denominator of 59/27 and 83/9995010. 89955090 Calculate the common denominator of 29/245580 and -21/8798. 1080306420 What is the lowest common multiple of 86066 and 860660? 860660 Calculate the smallest common multiple of 302236 and 206070. 4533540 Calculate the smallest common multiple of 1682090 and 199570. 11774630 Calculate the smallest common multiple of 214834 and 227. 48767318 Find the common denominator of -103/32600580 and -47/4. 32600580 Calculate the smallest common multiple of 109667 and 20655. 133245405 Calculate the least common multiple of 771696 and 52. 10032048 What is the smallest common multiple of 423587912 and 16? 847175824 Calculate the lowest common multiple of 77196 and 2551144. 53574024 What is the least common multiple of 560329 and 4921? 20732173 What is the least common multiple of 942 and 949536? 949536 What is the least common multiple of 3737448 and 82368? 29899584 Calculate the lowest common multiple of 2839200 and 75. 2839200 What is the least common multiple of 31298696 and 218? 31298696 What is the smallest common multiple of 824000 and 320? 824000 Calculate the common denominator of -29/313796 and -67/2353470. 4706940 Find the common denominator of 53/29826960 and -149/3798. 89480880 Calculate the smallest common multiple of 498692 and 13589357. 54357428 Find the common denominator of -181/24024 and -49/223080. 1561560 What is the lowest common multiple of 486 and 276930? 7477110 Calculate the common denominator of -13/1540189 and 34/63. 13861701 What is the common denominator of 91/3092216 and -4/9761? 701933032 What is the common denominator of -16/555 and -97/612456? 113304360 What is the smallest common multiple of 2289048 and 270360? 34335720 Find the common denominator of -139/795200 and -95/2. 795200 Calculate the smallest common multiple of 18695 and 20827. 389360765 What is the common denominator of -9/3279190 and 133/30559260? 1436285220 Calculate the smallest common multiple of 10360 and 23800. 880600 Find the common denominator of -95/202476564 and 85/796368. 809906256 What is the common denominator of -39/223174 and -101/35580312? 249062184 Calculate the common denominator of 93/114010 and 19/114010. 114010 Calculate the common denominator of -109/13655436 and 77/15. 68277180 What is the common denominator of -31/462 and 145/39060648? 273424536 Calculate the least common multiple of 55892 and 35244. 5533308 What is the lowest common multiple of 136 and 603440? 10258480 What is the common denominator of 105/2399092 and 1/9? 21591828 Calculate the least common multiple of 106176 and 257856. 1804992 What is the least common multiple of 52887 and 867? 52887 Calculate the lowest common multiple of 15716 and 134. 1052972 What is the common denominator of -47/373257 and -35/10026? 415808298 Calculate the common denominator of 19/14237 and -25/1019493. 23448339 Calculate the least common multiple of 1133684 and 6235262. 12470524 Calculate the common denominator of 64/693 and 76/1087713. 7613991 Find the common denominator of 55/4436159 and 57/1406587. 57670067 What is the lowest common multiple of 24424550 and 60? 146547300 Calculate the common denominator of -81/3047176 and 9/1243. 344330888 Calculate the least common multiple of 27704 and 384393. 3075144 Calculate the lowest common multiple of 4334728 and 51. 13004184 What is the common denominator of -167/11411400 and 111/276640? 45645600 Calculate the common denominator of 59/2254 and 151/912870. 912870 What is the smallest common multiple of 1320804 and 1981206? 3962412 What is the least common multiple of 344190 and 528? 2753520 Find the common denominator of -149/972 and 143/328932. 8881164 Calculate the smallest common multiple of 82 and 35401034. 1451442394 Find the common denominator of 43/2255 and 47/1595. 65395 What is the smallest common multiple of 41211 and 824220? 824220 Calculate the smallest common multiple of 147775 and 4462805. 22314025 Calculate the least common multiple of 1882806 and 1243. 20710866 What is the least common multiple of 930632 and 232658? 930632 Calculate the common denominator of 61/7482 and 31/1544424. 66410232 Calculate the least common multiple of 23156 and 73260. 424102140 What is the lowest common multiple of 118812456 and 942956? 118812456 What is the common denominator of 1/442260 and -101/44226? 442260 What is the smallest common multiple of 5215210 and 15015? 15645630 Calculate the common denominator of -181/6300 and 109/276570. 2765700 Find the common denominator of 85/8953572 and -127/8953572. 8953572 Calculate the common denominator of 87/15336706 and -69/1394246. 15336706 What is the common denominator of -41/1641851 and -101/6? 9851106 What is the common denominator of 67/360 and 103/508848? 7632720 Find the common denominator of 55/823352 and -23/468. 96332184 Calculate the common denominator of 123/280 and 63/89440. 626080 Calculate the smallest common multiple of 937176 and 288. 11246112 What is the smallest common multiple of 109728 and 8259? 302081184 Calculate the lowest common multiple of 1920 and 64752000. 64752000 Calculate the smallest common multiple of 292772 and 22. 3220492 What is the smallest common multiple of 61037644 and 6? 183112932 Find the common denominator of 12/17064629 and 49/867693. 51193887 Calculate the common denominator of -161/146268 and 139/408. 292536 Calculate the least common multiple of 495 and 1133495. 10201455 What is the smallest common multiple of 47996960 and 12? 143990880 What is the common denominator of -69/6232484 and -16/34101? 504831204 Calculate the common denominator of -97/1903440 and 113/18480. 1903440 What is the common denominator of 145/14196 and 137/214158? 72385404 Calculate the common denominator of 95/899622 and 83/899622. 899622 What is the lowest common multiple of 181932225 and 26925? 181932225 What is the lowest common multiple of 4488 and 36476? 3720552 Calculate the least common multiple of 108 and 7796568. 70169112 What is the common denominator of -73/579644 and -59/253084? 17968964 Calculate the common denominator of 64/87654775 and 89/22293700. 3856810100 Calculate the least common multiple of 15756 and 25673089. 308077068 Calculate the lowest common multiple of 3 and 86239842. 86239842 What is the common denominator of 97/275488 and 11/10? 1377440 Calculate the lowest common multiple of 3380796 and 1126932. 3380796 Calculate the least common multiple of 291174 and 24652732. 73958196 Find the common denominator of 49/5355298 and 97/7330. 26776490 Calculate the least common multiple of 82959 and 1689. 46705917 Calculate the common denominator of -103/1206 and 51/3082804. 27745236 What is the lowest common multiple of 15245 and 16251170? 16251170 What is the lowest common multiple of 34250 and 6500? 890500 Calculate the common denominator of 101/5206642 and -83/702. 1827531342 What is the common denominator of -103/216 and 53/275420976? 2478788784 Find the common denominator of 137/175764 and -65/2402108. 7206324 Calculate the common denominator of 53/120 and -137/7483542. 149670840 Calculate the least common multiple of 36268610 and 8. 145074440 Find the common denominator of -37/1876239 and -55/1003. 110698101 Calculate the common de
{ "pile_set_name": "DM Mathematics" }
23*g**2 + 58660 What is the d'th term of 1276548043, 1276548042, 1276548041, 1276548040, 1276548039? -d + 1276548044 What is the r'th term of -197558, -197885, -198212, -198539, -198866, -199193? -327*r - 197231 What is the z'th term of -131272477, -131272476, -131272475? z - 131272478 What is the k'th term of -47, -458, -1669, -4112, -8219, -14422? -72*k**3 + 32*k**2 - 3*k - 4 What is the s'th term of -7175, -51315, -169385, -398351, -775179? -6161*s**3 + s**2 - 1016*s + 1 What is the q'th term of 376835297, 753670595, 1130505893, 1507341191? 376835298*q - 1 What is the j'th term of -16160, -17807, -20548, -24377, -29288, -35275, -42332? j**3 - 553*j**2 + 5*j - 15613 What is the b'th term of -122820, -246962, -371104? -124142*b + 1322 What is the c'th term of -43362, -86974, -130584, -174192? c**2 - 43615*c + 252 What is the x'th term of -47385, -47382, -47379, -47376, -47373, -47370? 3*x - 47388 What is the x'th term of -3864660, -3864678, -3864696, -3864714, -3864732, -3864750? -18*x - 3864642 What is the x'th term of 424, 1099, 2004, 3139, 4504? 115*x**2 + 330*x - 21 What is the a'th term of 1361476, 2723008, 4084540, 5446072, 6807604, 8169136? 1361532*a - 56 What is the k'th term of 9916901, 9916825, 9916749? -76*k + 9916977 What is the m'th term of 12643, 50593, 113847, 202399, 316243? -m**3 + 12658*m**2 - 17*m + 3 What is the q'th term of 8205, 13463, 22227, 34497, 50273, 69555, 92343? 1753*q**2 - q + 6453 What is the m'th term of -3911966, -7823939, -11735922, -15647921, -19559942, -23471991? -m**3 + m**2 - 3911969*m + 3 What is the d'th term of 466879, 931790, 1396701, 1861612, 2326523, 2791434? 464911*d + 1968 What is the i'th term of -6729414, -13458770, -20188126? -6729356*i - 58 What is the s'th term of -97402, -779220, -2629870, -6233770, -12175338, -21038992, -33409150, -49870230? -97403*s**3 + 2*s**2 - 3*s + 2 What is the y'th term of -5778, -8538, -11298, -14058, -16818, -19578? -2760*y - 3018 What is the n'th term of -296392, -296430, -296468, -296506, -296544, -296582? -38*n - 296354 What is the h'th term of -90099, -90433, -91341, -93111, -96031, -100389, -106473, -114571? -48*h**3 + h**2 - h - 90051 What is the a'th term of -530, -507, 590, 3301, 8166, 15725? 90*a**3 - 3*a**2 - 598*a - 19 What is the b'th term of 206, 850, 1928, 3428, 5338, 7646? -2*b**3 + 229*b**2 - 29*b + 8 What is the k'th term of -2827580, -2827552, -2827526, -2827502, -2827480? -k**2 + 31*k - 2827610 What is the s'th term of -50228, -50309, -50390, -50471? -81*s - 50147 What is the m'th term of 9297904, 18595897, 27893890? 9297993*m - 89 What is the p'th term of -16198, -26654, -37100, -47530, -57938, -68318? p**3 - p**2 - 10460*p - 5738 What is the v'th term of -3885677, -3885932, -3886201, -3886490, -3886805, -3887152, -3887537, -3887966? -v**3 - v**2 - 245*v - 3885430 What is the w'th term of -7481, -14818, -21881, -28532, -34633? 23*w**3 - w**2 - 7495*w - 8 What is the f'th term of 7405, 14833, 22257, 29677? -2*f**2 + 7434*f - 27 What is the d'th term of 58010, 116708, 175406, 234104, 292802? 58698*d - 688 What is the c'th term of 154, 756, 1728, 3076, 4806? c**3 + 179*c**2 + 58*c - 84 What is the i'th term of 8251, 8295, 8345, 8401, 8463, 8531, 8605? 3*i**2 + 35*i + 8213 What is the v'th term of -1043, -1054, -1031, -974, -883, -758, -599? 17*v**2 - 62*v - 998 What is the q'th term of 4306940, 8613878, 12920816, 17227754, 21534692, 25841630? 4306938*q + 2 What is the a'th term of 21928468, 21928463, 21928458, 21928453, 21928448, 21928443? -5*a + 21928473 What is the m'th term of -57909, -57894, -57853, -57780, -57669, -57514? m**3 + 7*m**2 - 13*m - 57904 What is the i'th term of 72651, 96022, 119393, 142764? 23371*i + 49280 What is the v'th term of -15861930, -31723868, -47585806, -63447744? -15861938*v + 8 What is the b'th term of -192579, -190514, -188449? 2065*b - 194644 What is the w'th term of 195469, 390946, 586423? 195477*w - 8 What is the v'th term of 3256, 6757, 10226, 13663, 17068, 20441? -16*v**2 + 3549*v - 277 What is the x'th term of 391713, 783435, 1175169, 1566915? 6*x**2 + 391704*x + 3 What is the s'th term of 206095974, 412191955, 618287938, 824383923, 1030479910, 1236575899? s**2 + 206095978*s - 5 What is the b'th term of 4126, 16730, 37712, 67072, 104810? 4189*b**2 + 37*b - 100 What is the d'th term of -2856348, -5712696, -8569044? -2856348*d What is the s'th term of 126365, 126276, 126187, 126098? -89*s + 126454 What is the c'th term of -2693538, -2693495, -2693438, -2693361, -2693258, -2693123? c**3 + c**2 + 33*c - 2693573 What is the s'th term of 1944640, 15557045, 52504996, 124456267, 243078632, 420039865, 667007740? 1944629*s**3 - s**2 + 5*s + 7 What is the p'th term of -772896, -1546422, -2319948, -3093474, -3867000? -773526*p + 630 What is the u'th term of -4292659, -4292660, -4292661, -4292662, -4292663? -u - 4292658 What is the u'th term of 3058197, 6116389, 9174579, 12232767, 15290953, 18349137, 21407319? -u**2 + 3058195*u + 3 What is the s'th term of 41017, 78385, 112105, 142177? -1824*s**2 + 42840*s + 1 What is the g'th term of -45248870, -90497718, -135746554, -180995372, -226244166? g**3 - 45248855*g - 16 What is the l'th term of 15895155, 15895154, 15895153, 15895152, 15895151, 15895150? -l + 15895156 What is the k'th term of -4492142, -17968571, -40429286, -71874287, -112303574, -161717147, -220115006? -4492143*k**2 + 1 What is the m'th term of 92002, 184157, 276602, 369481, 462938, 557117, 652162, 748217? 24*m**3 + m**2 + 91984*m - 7 What is the n'th term of -6000732, -12001463, -18002194, -24002925, -30003656, -36004387? -6000731*n - 1 What is the u'th term of -569415295, -1138830592, -1708245889? -569415297*u + 2 What is the n'th term of 7438, 14498, 21558, 28618? 7060*n + 378 What is the y'th term of 408, 1582, 3562, 6360, 9988, 14458, 19782? 2*y**3 + 391*y**2 - 13*y + 28 What is the g'th term of 1869468, 1869470, 1869472, 1869474, 1869476, 1869478? 2*g + 1869466 What is the d'th term of -67990232, -67990233, -67990234, -67990235, -67990236, -67990237? -d - 67990231 What is the q'th term of -8980, -17570, -26156, -34738, -43316? 2*q**2 - 8596*q - 386 What is the n'th term of 7056, 14108, 21098, 28032, 34916, 41756, 48558, 55328? n**3 - 37*n**2 + 7156*n - 64 What is the h'th term of -53774, -53844, -53920, -54002, -54090, -54184, -54284? -3*h**2 - 61*h - 53710 What is the s'th term of 2987, 8386, 17375, 29948, 46099, 65822? -s**3 + 1801*s**2 + 3*s + 1184 What is the z'th term of 63469, 66506, 69543, 72580? 3037*z + 60432 What is the j'th term of 11503, 45905, 103243, 183517, 286727? 11468*j**2 - 2*j + 37 What is the h'th term of 12485863, 49943463, 112372797, 199773865, 312146667? 12485867*h**2 - h - 3 What is the w'th term of -18362, -19732, -21992, -25136, -29158, -34052, -39812, -46432? w**3 - 451*w**2 - 24*w - 17888 What is the s'th term of 32237519, 64475036, 96712561, 128950100, 161187659, 193425244, 225662861? s**3 - 2*s**2 + 32237516*s + 4 What is the k'th term of 362, 1647, 4106, 7997, 13578, 21107, 30842? 43*k**3 + 329*k**2 - 3*k - 7 What is the l'th term of 103, 438, 675, 814? -49*l**2 + 482*l - 330 What is the v'th term of 802, 66, -1282, -3242, -5814, -8998? -306*v**2 + 182*v + 926 What is the p'th term of -92832, -92863, -92894? -31*p - 92801 What is the b'th term of -1587, -3118, -4183, -4548, -3979? 39*b**3 - b**2 - 1801*b + 176 What is the q'th term of -382, -1422, -3176, -5650, -8850, -12782, -17452, -22866? -q**3 - 351*q**2 + 20*q - 50 What is the x'th term of -1363, -8320, -27195, -63946, -124531, -214908, -341035? -993*x**3 - x**2 - 3*x - 366 What is the r'th term of 578021, 578016, 578011, 578006, 578001? -5*r + 578026 What is the g'th term of 2827681, 5655359, 8483039, 11310721, 14138405, 16966091, 19793779? g**2 + 2827675*g + 5 What is the c'th term of -3792168329, -3792168333, -3792168339, -3792168347? -c**2 - c - 3792168327 What is the g'th term of 263, 1789, 5867, 13775, 26791? 213*g**3 - 2*g**2 + 41*g + 11 What is the d'th term of 3085439, 3085272, 3085105? -167*d + 3085606 What is the r'th term of 261764, 523421, 785078, 1046735, 1308392, 1570049? 261657*r + 107 What is the r'th term of -321448, -321158, -320876, -320602, -320336, -320078? -4*r**2 + 302*r - 321746 What is the
{ "pile_set_name": "DM Mathematics" }
y) = 6*y**3 + 2*y**2 + y. What is t(z)? -5 Let c(v) = -v**3 - v**2 + 2*v + 2. Let o be c(0). Let w(y) = 4*y**3 + 2*y - 5*y**3 - 2 - y**2 + 2*y**3 + y. Give w(o). 8 Suppose -3*t = 3, 0*j + 2*j = -2*t - 14. Let l(d) be the third derivative of -d**4/24 - d**3/6 + d**2. Calculate l(j). 5 Let g(x) be the first derivative of -x + 1/2*x**2 - 1 + 1/6*x**3. Let i(v) be the first derivative of g(v). What is i(-3)? -2 Let j be (-85)/15 - (-4)/6. Let d(z) be the first derivative of z**3/3 + 3*z**2/2 - 3*z + 2. What is d(j)? 7 Let a = 9 + -4. Let i = -7 - -14. Let v(b) = 3*b + i - b**2 - b + 0. Calculate v(a). -8 Suppose -3*w - 30 = -3*t, -w - 40 = -4*t - 2*w. Suppose -25 = 5*c, -3*c = -k - 4*k + t. Let f(g) = g. Give f(k). -1 Suppose -g = 2*g - 5*v - 127, -4*v - 86 = -2*g. Let h be g/9 + 5/(-15). Let d(r) = r**3 - 3*r**2 - 2*r - 1. Calculate d(h). 7 Let u(q) = 8*q. Suppose x - 5 = j, 4*x = 5*j + 4 + 20. What is u(x)? 8 Let n(c) = -c**3 - 6*c**2 + 8*c + 6. Let k(a) = -a**2 + 8*a - 7. Let z be k(8). What is n(z)? -1 Let y(m) = -m**3 + 5*m**2 - 3*m. Let k(n) = -3*n**3 + 16*n**2 - 10*n. Let d(q) = 2*k(q) - 7*y(q). What is d(2)? -2 Let v(p) = 3*p + 4. Let w be (-2 + 0)/(4/10). Let g(r) = -3*r + 10. Let o(f) = -f + 1. Let y(c) = g(c) - 6*o(c). Let k(b) = w*v(b) + 4*y(b). Determine k(-4). 8 Let u(o) = 8*o**2. Suppose 5*w = w - 4. Give u(w). 8 Suppose -3 - 7 = -4*c + 2*f, c - 25 = 5*f. Let b(z) be the first derivative of c - z**2 + 1 + 0. What is b(1)? -2 Let d(j) be the first derivative of j**4/4 + 4*j**3/3 - j**2/2 + 4*j - 18. Calculate d(-4). 8 Let x(v) = -v**3 - 3 - 703*v**2 + 698*v**2 + 6*v - 2*v. Give x(-6). 9 Let q = -41 - -44. Let x(k) = 2*k**2. What is x(q)? 18 Let a = -2 - -12. Suppose -3*u + g + a = 0, u + 3*g - 6 = -2*u. Let y(h) = -h + u + 0*h + 0. Give y(2). 1 Suppose -2*n - 2 + 0 = 0. Let w(o) = -o**2 + 4*o + 7. Let t be w(5). Let j(y) = -2*y + 4 - t - 1. Calculate j(n). 3 Let l(z) = -z - 6 - 7 + 10. Calculate l(-2). -1 Suppose 0 = 4*r - 3*b - 17, -2*b = r - 4*b - 8. Suppose -3*w + 5 = a - 6, w - 13 = r*a. Let s(k) = k**2 - 7*k + 1. Calculate s(w). -9 Suppose -3*c + 1 = -2*n, -n + 3*c + 10 = 3. Let f be 1*(n + 6 + -3). Let i(k) = -k + 7. What is i(f)? 12 Let n(k) = -5*k**2 - 2*k + 1. Let i(b) = -b**2 + 6*b - 4. Let s be i(7). Let p(w) = w**2 + 10*w - 10. Let y be p(s). Give n(y). -6 Let z(t) = t**2 - 1. Let g(u) = u**3 - 8*u**2 - 9*u. Let l be g(9). Give z(l). -1 Let r(u) = -u**2 + 15*u + 14. Let h be r(16). Let b be (1 + 15/(-9))*-3. Let x(q) = -4*q + b - 5 + 2*q. Determine x(h). 1 Let q = -4 + 0. Let s be (-69)/(-21) - q/(-14). Let t(z) = z - 1. Calculate t(s). 2 Suppose 30 - 10 = 4*g. Let r(u) = u**3 + 6*u**2 + 8*u - 1. Let k(x) = x**3 + x**2 + x. Let z(j) = 2*k(j) - r(j). Determine z(g). -4 Let d(j) = j - 1. Suppose 0 = -c + 3 + 4. Suppose 5 - c = 2*q. Calculate d(q). -2 Let j(i) = i**2 - i + 2. Suppose r = -0 - 1. Let c be (15/9)/(r/(-3)). Suppose 3*b - 2*a - 5 = 0, a = -2*b + b + c. What is j(b)? 8 Suppose -5*c - 57 = 3*g, -4*c + 3*g + 1 = 25. Let m(q) = -q**2 - 9*q - 2. Let r be m(c). Let l(s) = s**2 - 4*s - 3. Give l(r). 9 Let s(q) = q**3 - q + 1. Let y(b) = 3*b**3 - 6*b**2 - 6*b + 7. Let v(d) = 4*s(d) - y(d). Determine v(-5). 12 Let n(s) = -s**2 + 5*s**2 + 4 - 2*s**2 - s**2 - 4*s. Determine n(5). 9 Let k(f) = f - f**2 - 19 + 20 - f**3 + 0*f**3. What is k(-2)? 3 Let k(b) = -b**2 - 6*b - 6. Let a(s) = -s**2 - 6*s - 5. Let o be a(-8). Let j = -2 + -7. Let h be o/(j/(-3)) + 2. Determine k(h). -1 Let m(c) = c**2 - 5*c + 4. Suppose 0*d - 2*d + 12 = g, 2*g = d + 4. Suppose g*j - 4 = 4*i - i, 4*j = 4*i. Calculate m(j). 0 Let f(i) = -24*i - 20*i + 12 - 28*i + 73*i. Suppose -p = l + 1, 3*p - 2*l + 0*l = 2. What is f(p)? 12 Let i(o) = -o - 6. Let q be i(-9). Let j(k) = 2 - 3*k**3 - 2*k**3 + 4*k**q + 5*k - 2*k**2 + 0*k**3. Calculate j(-3). -4 Suppose 2*g - 9 = -g. Let a(y) = 2 - g*y**2 + 2*y**2 + 2. What is a(-3)? -5 Let x(r) = 2*r**2 + 2*r. Let w = -7 + 2. Let o = w + 3. Let v = -4 - o. Give x(v). 4 Let n(d) be the third derivative of -d**4/12 + 3*d**3/2 - 8*d**2. What is n(6)? -3 Suppose 4*a = i - 15, -2*i + 4*a + 11 = -7. Suppose 5*j = 29 - 4. Let u = j - i. Let m(n) = 2*n**2 - n + 1. Determine m(u). 7 Suppose -1 = z + 2. Let b(w) = -w**3 - 3*w**2 - 2*w. What is b(z)? 6 Let k(j) = 2*j**3 + 2*j**2 + 2*j + 4. Let g(o) = -4*o**3 - 4*o**2 - 4*o - 7. Let i(a) = 4*g(a) + 7*k(a). Let d = 19 + -21. Give i(d). 12 Let k(u) = -u**3 + 3*u**2 - 4*u + 4. Let r(q) = 4*q**3 - q**2. Let l be r(1). Calculate k(l). -8 Let n(m) = -3*m**3 + 2*m + 1. Suppose -3*y - 1 = -5*j - 5*y, 5*j = 3*y - 14. Calculate n(j). 2 Let v be 0 + 2/(-5)*-5. Let c be ((-2)/3)/(v/12). Let x(t) = -t - 4. Give x(c). 0 Let k(p) = -p + 12 + 5 - 18. Calculate k(0). -1 Suppose 3*a + 8 = 5*a. Let q(c) = -c**3 + 3*c**2 + 2*c + 4. Give q(a). -4 Let y(u) = -u**2 - 7*u - 6. Let d = -8 - -10. Suppose -2*s - d*s = 0. Suppose 5*c + 5*p + 50 = s, -4*c - p - 25 = -0*c. Determine y(c). 4 Suppose 5*f = 4*f - 4. Let z = -2 - 3. Let v(c) = -c**3 - 7*c**2 + 6. Let d(u) = 2*u**3 + 13*u**2 - u - 11. Let k(r) = z*v(r) - 3*d(r). Determine k(f). -9 Let c(m) = m**3 - m + 2. Suppose 2*q + 2*q = 12. Let t be 0 + (q - (0 + -1)). Suppose 3*x = 5*o + 3, -t*x + 4 = 5*o - 0*o. Calculate c(o). 2 Let v(k) = k + 2 - 2*k + 1 - 2. Calculate v(-3). 4 Let m(o) = -o**2 - 6*o + 5. Let u(n) = -n**2 - 5*n + 5. Let l(y) = -6*m(y) + 7*u(y). Calculate l(0). 5 Let f(n) = n**2 - 3*n - 4. Let c be f(4). Let a(q) = -q**3 - q - 10. Determine a(c). -10 Let r(o) = -o**3 + 11*o**2 + 13*o - 16. Let b be r(12). Let a(i) = -i**3 - 3*i**2 + 7*i + 5. Give a(b). -7 Let w(k) = k**2 - 6*k - 7. Let i = -61 - -68. What is w(i)? 0 Let a be (9/(-4))/(3/(-12)). Suppose -f - 3 = d - 2*d, 3*d = f + a. Suppose 2*q = -f + 12. Let t(j) = -j + 5. Determine t(q). -1 Let x be (15/25 - 1)*-15. Let r(c) = -2*c + 3. Determine r(x). -9 Let x(k) = -k**3 - 11*k**2 - k - 1. Let d(i) = -i**2. Suppose m + 0 = -1. Let g(v) = m*x(v) + 6*d(v). What is g(-4)? 13 Let r(a) be the second derivative of a**6/360 + a**5/30 - a**4/6 - 5*a**3/6 - 4*a. Let b(u) be the second derivative of r(u). Give b(-5). 1 Let g(f) be the second derivative of -13*f**3/6 + f**2/2 - f - 2. Determine g(1). -12 Let o(d) = -d**2 - d + 3. Let r(c) = c**3 + 6*c**2 + 5*c + 3. Let x be r(-5). Suppose x*t = 7*t. What is o(t)? 3 Let o(w) = 5*w - 103. Let j be o(21). Let i(p) be the second derivative of 0 + 3/2*p**j - p - 1/6*p**3. What is i(6)? -3 Let w(g) be the second derivative of -7*g**3/6 + 27*g. Give w(2). -14 Let c(f) be the first derivative of f**3 - f**2 - 2*f - 1. Let w = 24 - 22. What is c(w)? 6 Let r(h) = h**3 - 6*h**2 + 6*h - 9. Let p be r(6). Let y be (-2)/9 + 87/p. Let o(i) = 2*i**2 - 5*i + 2. Determine o(y). 5 Suppose -2*v + 3*v - 3 = 0. Let b(l) = l - v*l - 3 + 0. Let j be (4*(-2)/(-12))/((-2)/15). What is b(j)? 7 Let v(g) = 4*g + 4. Suppose k - 4*k = 9. Give v(k). -8 Suppose 0*r - r + 4 = 0. Let t(j) = j**3 - 4*j**2 + j - 3. Let s be t(r). Let w(y) = 2*y**2 + y - 1. Calculate w(s). 2 Let g(b) = b**3 - 5*b**2 - 7*b - 2. Let x = -2 - -6. Let u be (-54)/(-8) + (-3)/x. Calculate g(u). -8 Let p = -16 - -22. Let r(f) = -f**3 + 5*f**2 + 4*f + 4. What is r(p)? -8 Suppose 0 = 5*v + 14 + 1. Let l = v - -3. Suppose 0 = -4*x + o + 21, 4*x + 0*o + 2*o - 18 = l. Let m(d) = -d**3 + 4*d**2 + 5*d - 4. Calculate m(x). -4 Let k(l) = 3*l - 1. Let r be k(2). Suppose r*u + 0*u = -20. Let o(y) = y**2 + 4*y + 1. Let h be o(u). Let x(p) = p. What is x(h)? 1 Let b(k) = 18*k + 2 - 3*k**2 + 2*k**2 - 15*k. Let q be (-18)/(-5) + (-4)/(-10). What is b(q)? -2 Let k(d) be the third derivative of -3*d**2 + 0*d + 1/12*d**4 + 0 + 1/3*d**3. Suppose 3*y + 9 = -0*y. What is k(y)? -4 Let o = 3 + -6. Let k(m) = -6*m**2 + 3. Let v(f) = 7*f**2 + f - 4. Let p(c) = o*v(c) - 4*k(c). Suppose -2*h = h + 4*d - 10, 4 = 4*h - 4*d. Determine p(h). 6 Let s(y) = -y**3 + 5*y - 3. Let p(l) = l**3 - l**2 - 4*l + 3. Let h(u) = -4*p(u) - 3*s(u). What is h(4)? 1 Let n = 4 - -21. Suppose -2*g = 3*g - n. Let q = g + -5. Let y(w) = -w**3 - w**2 - w + 1. Give y(q). 1 Suppose 12*n = 17*n - 70. Let y = n - 16. Let s(m) = 3*m**2 + 3*m + 3. Calculate s(y). 9 Let v(x) = 2*x**2 - 19 + 27 + x - x**2. Determine v(0). 8 Let n(a) = -a**3 - 4*a**2 + 4. Let k be n(-
{ "pile_set_name": "DM Mathematics" }
rounded to two decimal places? -0.06 Let u = -18 + 5. Let i = 8 + u. Let m = 3.3 + i. What is m rounded to zero decimal places? -2 Let a = 66 - 65.71. Let k = 2223 - 2223.2942. Let p = k + a. What is p rounded to three dps? -0.004 Let b = 0.949 + 75.651. Round b to zero decimal places. 77 Let p = 4 + -28. Let s = p + 23.89. Let c = -0.66 - s. What is c rounded to 1 decimal place? -0.6 Let m(q) = -q**2 - 222*q + 206. Let d be m(-78). Round d to the nearest 1000. 11000 Let u = 1.356448001739356 - 2991184131.356468901739356. Let k = 2991183962 + u. Let b = 168 + k. Round b to six decimal places. -0.000021 Let l = 4.1051 - -0.0649. Round l to zero decimal places. 4 Let s = 98 - 162. Let w = 62.88 + s. What is w rounded to the nearest integer? -1 Let o = -4.51 - -4.509999625. What is o rounded to seven decimal places? -0.0000004 Let u = 0.2076 + -0.5924. What is u rounded to two dps? -0.38 Let b = -17 - -29. Suppose 8*y + 3316 = b*y. Suppose 3*x = 3*n + 230 + y, 5*n - 685 = -2*x. Round x to the nearest one hundred. 400 Let b = -1.111 - -1.110598. What is b rounded to 5 decimal places? -0.0004 Let m = 7093.8 - 8257. Round m to the nearest ten. -1160 Suppose -4*l = -7*l + 25855407. Suppose -78618469 = 4*h - l. Round h to the nearest 1000000. -18000000 Let q = 47490 + -47488.55686. Let f = -1.468 + q. Let m = -0.027 - f. Round m to 4 decimal places. -0.0021 Let s = 3746943 + -3746942.91000122. Let j = -0.09 + s. Round j to seven decimal places. -0.0000012 Let b = -169 + 380. Let c = b - 453. Let n = 242.00000219 + c. Round n to 7 dps. 0.0000022 Let c = -2.09 + 0.15. Let j = 133.94 + c. Let y = 112.2 - j. What is y rounded to the nearest integer? -20 Suppose -k + 6*k = 540. Let q be (-2 - 148)*(-9)/(k/4616). What is q rounded to the nearest ten thousand? 60000 Suppose j - 6381160 = 12441496. Suppose j = 3*x - 80777389. Suppose -4*n + s = -4*s - 33200025, -x = -4*n + 3*s. Round n to the nearest one million. 8000000 Let g = 0.056 + -0.125. Let i = -0.099 - g. Round i to 2 decimal places. -0.03 Let n = 0.364 + -13.364. Let t = -69.3 + 56.27. Let j = t - n. Round j to 2 decimal places. -0.03 Let b = 83 + -188. Let c = 104.999868 + b. What is c rounded to 5 dps? -0.00013 Let v = -316.9194 + 317. Round v to two decimal places. 0.08 Let i = 63.38 - 19.5. Round i to the nearest ten. 40 Let x = 2.5385 - -0.2725. Let c = -0.23 + 3.03. Let o = c - x. Round o to two decimal places. -0.01 Let d = 23.6 - 42.7. Round d to the nearest ten. -20 Suppose -2*u = -3*i - 4939997, 3*i = -0*u + 4*u - 9879997. What is u rounded to the nearest 1000000? 2000000 Let c be (0 + 1)/((0 + 3)/(-3)). Let x be (c + -1 - -15999999) + 3. What is x rounded to the nearest 1000000? 16000000 Let b = -0.05326 - 0.0165. Let a = b - -0.074. What is a rounded to 4 dps? 0.0042 Let n = -13540 + 6990. What is n rounded to the nearest one thousand? -7000 Let z = 123.55 + -123. Let x = 0.549806 - z. Round x to five dps. -0.00019 Let s = -0.063 + -62.937. Let x = s + 63.000077. Round x to five decimal places. 0.00008 Let t be (-450)/21*-18 - (-20)/70. What is t rounded to the nearest ten? 390 Let s = -1.39 + -0.97. Round s to one dp. -2.4 Let n = 205.114 - -16.1. Let u = n - 204.2. Let b = u + -17. Round b to 2 decimal places. 0.01 Let c = 0.3029 - 0.30295293. Round c to 6 dps. -0.000053 Suppose 2*p - 3*a = -3, -p + 6*p - 2*a = 9. Suppose 6499990 = -5*x - 2*j, p*j + 890418 = x + 2190433. What is x rounded to the nearest 1000000? -1000000 Let u = -416355145209 + 416354953375.799923. Let i = u + 191828.7. Let d = i - -4.5. What is d rounded to 5 dps? -0.00008 Let f = -24 + 45. Let p = f - 21. Suppose -4*g + 2*i + 38754611 - 15554603 = p, 2*i + 8 = 0. What is g rounded to the nearest one million? 6000000 Let u(i) = 3*i**2 + i - 1. Let s be u(1). Suppose -g = -4*h + s*g - 268, h + 43 = -5*g. Let o = h + -3. What is o rounded to the nearest ten? -70 Let p = -642 - -86. Let n = 555.9727 + p. What is n rounded to 3 dps? -0.027 Let p = -407013 + 217013. What is p rounded to the nearest 100000? -200000 Let v = -163907 - -85907. Round v to the nearest ten thousand. -80000 Suppose 3*w = 3*n + 43785 + 10971, -2*n - 4*w - 36528 = 0. Round n to the nearest one thousand. -18000 Let b be (-4)/3*(-60)/(-40). Let s be (890/20)/(1/b). Round s to the nearest 10. -90 Let h = 5387 - 3039. Let r = 3534 - h. What is r rounded to the nearest 100? 1200 Let k = -335.73 - -301.756. Let v = 70 + -104. Let b = v - k. Round b to two dps. -0.03 Let v = -83.66 + 90. Let q = -13.3 - -5.9. Let s = q + v. Round s to one dp. -1.1 Suppose 404000 = -12*s + 4*s. What is s rounded to the nearest 1000? -51000 Let x be ((-2)/2)/((-115)/(-20) + -6). Suppose -x*j + 2488 = 688. Round j to the nearest 100. 500 Let i = 2.5 + -8.374. Let d = -5.8 - i. Round d to two decimal places. 0.07 Let x = -4 + 8. Let v = 13 - 13. Suppose x*p + w = 108004, 2*p - w - 53996 = -v*p. Round p to the nearest 10000. 30000 Let x = -106.746 + -0.254. Let g = 106.9999939 + x. What is g rounded to six decimal places? -0.000006 Let q = -1.45 - -0.5. Let b = -1.087 - q. Round b to two decimal places. -0.14 Suppose -2*v - 4*v + 6 = 0. Let g(j) = -j. Let b(z) = 68331*z - 2. Let h(q) = v*b(q) - 2*g(q). Let n be h(-6). Round n to the nearest one hundred thousand. -400000 Let z = 269 + -400. Let a = 28735 - 28603.13. Let c = a + z. Round c to one dp. 0.9 Let b = -429913 + 4711913. Round b to the nearest one hundred thousand. 4300000 Let s = -21.6 - -21.60464. What is s rounded to three decimal places? 0.005 Suppose -5*f = 15, 4*f + 220365 + 211047 = 3*a. Round a to the nearest one thousand. 144000 Let j = 0.21 + -0.34. Let g = -0.12982 - j. Round g to 4 decimal places. 0.0002 Let f = 0.121 + 2.669. Let t = f - 0.39. Round t to 0 decimal places. 2 Let g(a) = 9314*a**2 + 6*a. Let m = -7 - -3. Let d be g(m). Round d to the nearest ten thousand. 150000 Let v = 383 + -378.62. Let l = 4.3 - v. Round l to 1 decimal place. -0.1 Let b = 30.83 - 14.13. Round b to 0 decimal places. 17 Let d = -2662.57 + 2618. What is d rounded to 0 dps? -45 Let m = -18.6002375 - -18.6. Round m to 5 dps. -0.00024 Let t = -5323.921 - -5354.92131. Let c = t - 31. What is c rounded to four dps? 0.0003 Let m = 0.52 - 0.02. Let k = m + -0.49995. Round k to four decimal places. 0.0001 Let m = 323 + -323.00000439. What is m rounded to seven dps? -0.0000044 Suppose 103*m = 111*m + 120160. Round m to the nearest ten thousand. -20000 Let z = 41 + -41.0000916. Round z to five decimal places. -0.00009 Let w = -1418324 + 1418324.0769953. Let x = -40.777 - -40.7. Let g = w + x. Round g to 6 dps. -0.000005 Let c be (2 - 4)/((-12)/30). Suppose 2*l - 3161 = 3*u, 0*l - l - c*u + 1574 = 0. What is l rounded to the nearest one hundred? 1600 Suppose 0 = -3*t + 4*w + 157882, 192*t - 197*t + 2*w + 263146 = 0. Round t to the nearest 1000. 53000 Let j = -609 + 609.00000328. Round j to six dps. 0.000003 Let k be -903*(-7 + 6 + 2). What is k rounded to the nearest 100? -900 Let h = -225.634 + -0.366. Let n = h + 178.4. Round n to the nearest integer. -48 Let p = 454.7 + -474.356. Round p to the nearest integer. -20 Let p = -384 - -694. Let z = p + -332.1. Round z to the nearest integer. -22 Let y(i) = 884*i**2 - 31*i + 3. Let k be y(-18). Suppose 12313023 + k = -5*a. What is a rounded to the nearest 1000000? -3000000 Let x = -0.672 - 0.058. Let h = x - -0.8. Let p = h + -2.67. What is p rounded to the nearest integer? -3 Let p = -13 - -14.6. Let n = p + -1.2. Let s = -0.40000045 + n. What is s rounded to seven decimal places? -0.0000005 Suppose -2*t = -3*w + 9 - 48, t - 4*w = 12. Suppose -t*j - 15900 = -25*j. What is j rounded to the nearest 1000? 16000 Let c be 6/15 - 44/10. Let b be (150/c)/(-5)*(-2344)/6. What is b rounded to the nearest 100? -2900 Let t = 16.01 + -16.009574. What is t rounded to five dps? 0.00043 Let q = -15 + 23. Let u be (-3)/(-2)*q/6. Suppose u*m = -0*m + 120000. What is m rounded to the nearest ten thousand? 60000 Let q = -1944.0783 + 1937.0782995. Let i = 19.1 - 12.1. Let t = q + i. What is t rounded to 6 dps? -0.000001 Let l = 0.2776 - 0.31034. Let o = -0.032 - l. Round o to four dps. 0.0007 Suppose -6*q = -36 - 54. Suppose q + 16 = -n. What is n rounded to the nearest ten? -30 Let i = -2399 + 2402.778
{ "pile_set_name": "DM Mathematics" }
/(-8) + (-61)/(-488). Solve -36 = -11*f + m for f. 6 Let f = -22 - -47. Let a be 8/(-52) - (6 + 54/(-13)). Let d be a/6*(16 - 16) + 8. Solve -3*n = -d*n - f for n. -5 Suppose -66 = 2*b + 5*f, 3*b + 65 = -4*f + 5*f. Let j = b + 51. Suppose -33*l + j*l = 0. Solve l = 4*i - i + 15 for i. -5 Let w(a) = a**3 + 2*a**2 + 2*a + 5. Suppose 16*c - 17*c = 43. Let o = c - -41. Let p be w(o). Solve -4*j - 5 = -p for j. -1 Suppose -41 = -28*o + 183. Solve 0 = -o*m + 21*m + 26 for m. -2 Let j = -2637 - -2637. Solve 20*m = -j*m - 100 for m. -5 Suppose 2*h = -2*h. Let i be (-1353)/(-24) - (2 + (-39)/24). Suppose i = -3*r + 65. Solve h = -6*l + r*l - 3 for l. -1 Let c be 40/(-2)*24/(-15). Suppose 0 = -66*m + 71*m + 100. Let t = c + m. Solve 0*y + t = -4*y for y. -3 Let g(v) = -1934*v - 11594. Let o be g(-6). Solve -17*p = -o*p + 28 for p. -4 Let i be (-21)/(-3) - 2 - (-7 - 0). Let s(f) = -f**3 + 10*f**2 + 24*f + 2. Let c be s(i). Solve 0 = -y - y - c for y. -1 Suppose 2*f = p + 101, 79*f = 80*f + 3*p - 68. Solve -f*o + 18*o = 105 for o. -3 Let s(x) be the third derivative of x**7/5040 + 9*x**5/20 - 19*x**2. Let t(m) be the third derivative of s(m). Let c be t(2). Solve 0 = -c*v - 0*v for v. 0 Suppose 7*y + 0*y + 945 = 0. Let s = 138 + y. Solve -5*z + s*z = 8 for z. -4 Let f(m) = -2*m**3 - 34*m - 33*m + 21 + m**3 - 11*m + 41*m**2. Let i be f(39). Solve i = 3*l + 6 for l. 5 Let x = 78 - 71. Suppose -63 = 7*v - x. Let c be -4*(-2)/4 - (-8 - v). Solve -c*u - 2*u = -4 for u. 1 Let l(g) = -g**3 + 8*g**2 - 9*g + 24. Let s be l(6). Let r = -39 + s. Suppose -3*v + r + 1 = 4*k, 3*k - 4*v - 28 = 0. Solve 3*q - k = -13 for q. -3 Let y(f) = -3*f - 11. Let q be y(-6). Suppose 0 = -11*m + q*m + 8. Suppose 53*a = 54*a - m. Solve -5 + 13 = -a*h for h. -4 Suppose -4 = i + 2*v, 0 = -i - 6*v + 9*v + 16. Let s(c) = -c**3 - 2*c**2 + 2*c - 2. Let u be s(-3). Let p be 3/(-5) + (-28)/(-5). Solve p*l = -i - u for l. -1 Suppose 0 = -5*j + 3*z + 4, 33 = -5*j - 4*z + 51. Solve 0 = j*b + b - 17*b for b. 0 Let i = 1308 + -1304. Solve 13*z - i = 9 for z. 1 Let d be 16/(-3)*(16 - (-1)/(-1)). Let x = -76 - d. Solve 6 + 2 = x*n for n. 2 Suppose -2*w = 20*w - 3300. Let a = -143 + w. Solve -a*g - 12 = -4*g for g. -4 Suppose 4*l = -3*k - l + 80, k - 5*l - 40 = 0. Suppose 38*t - 128 = k*t. Solve -8*j - t - 24 = 0 for j. -5 Let p be (-2)/3 + (-17)/(-3). Let v = -265 - -268. Suppose -5*z - 3 = 4*i - v*i, 2*i = 3*z - 6. Solve z*y - 10 = -p*y for y. 2 Let j = -297 + 297. Solve j = -48*f + 311 + 73 for f. 8 Let g = -5229 - -5252. Solve -8 + 77 = g*o for o. 3 Let v(p) = p**3 - 34*p**2 + 29*p + 137. Let b be v(33). Suppose 2*m - 8*a + 4*a = -6, 4*m + a - 24 = 0. Solve m*g = -b - 0 for g. -1 Let b be (-1 - -5)/(1/(-40)). Let y = 323 + b. Suppose -166*o + 27 = -y*o. Solve 0 = -o*h + 4*h for h. 0 Let w(g) = -4*g - 38. Suppose -3*o + 58 = 91. Let u be w(o). Let z(x) = x**3 + x**2 + x. Let d be z(0). Solve d = -n + u*n for n. 0 Let o be ((-50)/(-4))/(23/161*7/4). Solve -39*j - o = 223 for j. -7 Let q(v) = -3*v**2 + 70*v + 16. Let i be q(23). Suppose 0 = -2*n - i + 71. Solve -4*b + 0*b + n = 0 for b. 4 Let h be ((-874)/76 - -7)/((-6)/388). Solve 243*l = h*l + 192 for l. -4 Let u = -354 + 357. Suppose 8*l - 12*l - 3*i = 5, u*l - i = 6. Suppose t + 7 = 3*w, 4*w + t = 5*w - 5. Solve -2*f = w + l for f. -1 Suppose 59*f - 47*f = 132. Let a = -11 + f. Solve 0*t + a*t = -3*t for t. 0 Let y = -184 + 197. Solve -11 = -8*f + y for f. 3 Suppose -9*t + 17 = -28. Let w be (-1)/2 - 41/(-2). Suppose -5*g - t*i = -4*i - 23, -5*i - w = -2*g. Solve -g = -0*n + 5*n for n. -1 Suppose -2*p + 2*i + 30 = 0, -p - 145 + 150 = 4*i. Solve 26 = -p*y + 104 for y. 6 Let c(i) = 6066*i**2 - 6067*i**2 - 12*i**3 - i - 1 - 2*i. Let v be c(-1). Solve 0 = -6*h - 5 - v for h. -3 Suppose -2*g = 5*z - 178, 17*z = 15*z - 12. Solve -g*h - 28 = -100*h for h. -7 Suppose 0 = 4*a + 5*h - 25, 0*a - 5*h = -a - 25. Suppose a = -10*n + 13*n + 153. Let x = 56 + n. Solve x - 1 = 4*d for d. 1 Suppose 3*z + 5*j = 659, 0 = 5*z + 72*j - 70*j - 1073. Solve -9*u - z = -195 for u. -2 Suppose 3*b + 2*k + 7 = 44, 3*k = 4*b - 38. Solve 0 = 5*m - b - 14 for m. 5 Let o = -314 - -402. Suppose 4*n - o = 4*m, 3*n - 60 = -5*m + 6. Solve -5*b = -n - 3 for b. 5 Suppose 0 = -3*g + 2*d + 4, -5*d = -3*d + 4. Suppose 34*w - 68*w + 33*w = g. Solve -q - 3 = -w*q for q. -3 Suppose 5*k = 2*y + 2*y - 289, 0 = -5*k + 15. Let v = 77 - y. Suppose 0 = 5*g - 3*g - 2. Solve d = -v - g for d. -2 Let f(q) be the third derivative of -q**6/120 + 2*q**5/15 + q**4/12 - 32*q**3/3 - 64*q**2 - 2*q. Let n be f(6). Solve -n*d = -17*d - 15 for d. 5 Let s(f) = -f**2 - 4*f + 1932. Let y be s(42). Solve 27*i - 22*i + 5 = y for i. -1 Let i = 25 - -22. Let o = i + -14. Let k = -32 + o. Solve -5 = 3*n + k for n. -2 Suppose 0 = -4*m + 31 - 11. Suppose -m*r + 47 = -8. Solve -d - r + 7 = 0 for d. -4 Let b(o) = o + 9. Let d(c) = -7*c + 94. Let g be d(13). Let i be b(g). Solve 0 = i*z - 10*z + 2 for z. -1 Let g = 2554 + -2551. Solve -g*n = -10*n - 7 for n. -1 Let q = -73 - -76. Suppose 3*a + 12 = q*d - 2*d, 0 = a. Solve -d*t + 10 = -10*t for t. 5 Suppose 3*k - 42 = -2*j - 40, 3*j = 5*k + 60. Solve h - 11 = -j for h. 1 Let f be 2*(-6)/36*-699. Solve -225*j = -f*j + 16 for j. 2 Let h = -491 - -497. Let r(p) be the second derivative of -7*p**3/6 + 21*p**2 - p. Let q be r(h). Solve -o = -q*o - 3 for o. 3 Let p = -164 - -197. Suppose 41*o - 40 = p*o. Solve 0 = -7*m + o*m + 6 for m. 3 Suppose 5*z - 208 + 49 = 2*r, 4*r + z = -285. Let o = r + 80. Solve 9*s = o*s + 2 for s. 2 Let g(r) = 17*r + 272. Let h be g(-16). Suppose h = -21*x + 197 + 76. Solve -25*z = -x*z for z. 0 Let x(s) be the third derivative of s**5/60 + 5*s**4/12 - s**3/2 - 3*s**2 - 66*s. Let o be x(-11). Solve o*m - 3*m = -2*m for m. 0 Let c(y) = y**3 + y**2 + 2*y + 409. Let k be c(0). Let w = k + -406. Solve 2 = -l + w*l for l. 1 Let s = 18 - 36. Let b be ((-2)/3)/(4/s). Let i = -396 + 400. Solve i + 5 = -b*r for r. -3 Let i be 4/2*25/2. Let w = 16464 + -16457. Solve 2*j - w*j = i for j. -5 Suppose -2*u - 3*q = -69, 18 = -2*u + 3*q + 117. Let z be 3/2*7/(u/16). Solve -s = z*s - 5 for s. 1 Let r be 2/(-4) + (-54)/(-4) - 0/(-123). Solve -15*y + r*y = 6 for y. -3 Suppose 51*u = 70*u - 190. Suppose -4*a + 4*b + 4 = 0, -6*a + 14 = -a - 2*b. Suppose 4*r + 4 = a*f, -2*f + u = 5*r - 4*f. Solve 17 - 5 = r*t for t. 3 Let c = 199 - 194. Suppose -3*r + c + 1 = -3*q, 2*q = 5*r - 10. Solve -4*u - u = -q*u for u. 0 Suppose -3*w + 151 = t + 17, -5*w = -5*t - 210. Solve 2*x = 46*x + w for x. -1 Suppose 7*f - 4 = 3*f - 4*p, -4*f + 10 = 3*p. Solve u = 1 - f for u. -6 Let m = -908 + 911. Suppose -5*u + 80 = -25. Solve -10*g + u = -m*g for g. 3 Let f(v) = -5*v**2 - 2*v + 66. Let b be f(7). Let o = b + 209. Solve -15*u = -o*u for u. 0 Suppose w = -3*b + 772, -4*w + 361 = 5*b - 928. Let f = -249 + b. Solve -11*j = -f*j for j. 0 Let b = -16 - -23. Let j(h) = 200*h - 48388. Let q be j(242). Solve -g = -q + b for g. 5 Let s(l) = 9*l - 10. Let p be s(0). Let q(k) = 1. Let u(h) = h**2 + 10*h + 21. Let c(j) = 4*q(j) + u(j). Let o be c(p). Solve -o = -4*r - r for r. 5 Let d(v) = -31*v + 10. Let o be d(3). Let y = o - -87. Suppose 0 = 17*l - 13*l. Solve l = z + y - 0 for z. -4 Let v(z) = 9*z**2 + z. Let k be v(-1). Suppose 6*d - 12 = 4*p, p - 7 = 2*d - 12. Solve k = -d*m + 12 for m. 1 Let r = -230 - -158. Let g be (-1)/(-4*(-6)/r). Solve v + g = 1 for v. -2 Suppose 80*u - 3198 + 2798 = 0. Suppose -4 - 4 = -4*v. Solve -u*q + 9 = -v*q for q. 3 Let r be ((-42)/(-15))/(-14*12/(-1260)). Solve -19 = r*p + 44 for p. -3 Let n(x) = -x**3 + 148*x**2 - 4*x + 652. Let w be n(148). Solve -61*f = -49*f + w for f. -5 Suppose c - 6*z + z = 20, -5*c + 34 = -3*z. Suppose c*f = 8*f - 15. Suppose -28 = u - f*u. Solve -2*r + 3 = u for r. -2 Let n(q) = -4*q**2 - 132*q + 790. Let u be n(-38). Solve -44*c + u + 146 = 0 for c. 4 Let k be (149386/(-791))/((-10)/(-14) - 1). Let t = k + -658. Solve -t*m - 21 + 30 = 0 for m. 3 Suppose r - 4*p = 47 - 25, 0 = 4*r - p - 28. Let v be r/((-6)/(-1 - 5)). Solve -3 = -v*t + 9*t for t. -1 Suppose 5*x = x. Suppose x = 5*b - 3*b - 18. Solve 18*v - 15*v = b for v. 3 Suppose -696*d - 20 = -701*d. Suppose d*l + 2*m = 70, 2*m - 4*m = 5*l - 87. Solve 21*n - 8 = l*n for n. 2 Let g
{ "pile_set_name": "DM Mathematics" }
the highest common factor of 8 and t. 8 Let w(g) = g**2 - 5*g - 3. Let b be w(6). Suppose 0 = b*s - 0*s - 75. Suppose q + 4*q - s = 0. Calculate the greatest common factor of 45 and q. 5 Let n = -28 - -76. Calculate the greatest common factor of n and 12. 12 Let i = -5 + 65. Calculate the highest common divisor of i and 12. 12 Suppose -3*z - 139 = -8*z - m, 81 = 3*z + 3*m. Suppose k - z = -3*k. What is the greatest common divisor of k and 7? 7 Let x(k) = -k**2 + k + 2. Let m be x(4). Let y = -7 - m. Let z be ((-2)/(-4))/((-1)/(-12)). What is the greatest common divisor of y and z? 3 Let d(z) be the third derivative of -z**4/24 - z**3/6 - 3*z**2. Let b be d(-12). What is the highest common factor of 11 and b? 11 Let o(v) = 2*v**3 - 6*v**2 + 2*v - 7. Let r be o(5). Let a = r + 25. Let n(t) = -6*t - 2. Let c be n(-3). What is the highest common divisor of c and a? 16 Let y(k) = -k**2 + 9*k - 5. Let c be y(9). Let j(d) = d**2 + 4*d + 3. Let f be j(c). What is the greatest common divisor of f and 12? 4 Suppose 5*w + 0*w - 5 = 0. Suppose 0 = -0*i + 2*i - 64. Suppose -2*v = 2*v + 4, -i = -4*f - 4*v. What is the highest common divisor of f and w? 1 Let q(i) = -i + 22. Let s be q(9). Let f = -141 - -284. Calculate the highest common factor of s and f. 13 Let b = 22 - 31. Let z = 45 - b. What is the greatest common divisor of z and 18? 18 Suppose -72 = -c - c. Suppose 4*p + 0*v - 38 = v, 3*p = -3*v + c. What is the highest common divisor of 30 and p? 10 Let y(i) = 5*i - 76. Let c be y(20). Calculate the highest common factor of c and 72. 24 Let b be (2 - 10/(-4) - 1)*2. Let r(d) = -d**3 + 7*d**2 - 4*d - 2. Let x be r(5). Calculate the greatest common factor of b and x. 7 Suppose 2*p = 4*w - 776, -3*p + 89 = w - 91. What is the greatest common divisor of w and 24? 24 Let i(v) = -v + 1. Let a = -1 - 3. Let f be i(a). What is the highest common factor of 45 and f? 5 Suppose 5*i - 1 = 24. Suppose o + 0*o + 3*m + 17 = 0, i*o + 20 = -2*m. Let v be (5/o)/((-4)/88). Calculate the greatest common factor of v and 5. 5 Let y be -1 + (-8)/(-6) - 18752/(-192). Calculate the greatest common factor of y and 14. 14 Suppose 2*i + 0*h - 14 = 4*h, 35 = 5*i - h. What is the highest common divisor of 1 and i? 1 Let s(t) = t**2 - 27*t + 11. Let i be s(27). What is the highest common factor of 99 and i? 11 Suppose -10 = 2*j + 3*j. Suppose 0 = 3*f + 3*a + 9, 0 = 3*f + a + 4*a + 17. Let w be (-39)/j + f/2. Calculate the greatest common factor of w and 50. 10 Let o = 553 + -345. Let l = o + -103. Let t be (-1)/2*-36 + -3. What is the highest common factor of t and l? 15 Suppose -5*b + 181 = -0*b + 2*a, 5*b - 172 = a. What is the highest common factor of 7 and b? 7 Let b be (-2)/(-4) - (-99)/(-6). Let t = 94 - 60. Let v = t + b. What is the highest common divisor of v and 2? 2 Let r(f) = -2*f**2 - 9*f - 1. Let t be r(-5). Let o be -8 - t - (-136)/2. Calculate the greatest common factor of o and 6. 6 Let k(q) be the first derivative of 2*q + 1/3*q**3 + 3*q**2 - 1. Let l be k(-11). What is the greatest common divisor of 38 and l? 19 Suppose -6*w + w + 50 = 0. Calculate the highest common factor of w and 30. 10 Let l be (-80)/(-6)*15/10. Calculate the highest common divisor of 220 and l. 20 Let i(o) = 6*o - 10. Let n be i(4). Calculate the greatest common factor of n and 49. 7 Let y(i) = 2*i - 29. Let p be y(18). Calculate the highest common divisor of 56 and p. 7 Let o = 10 + -6. Let s be 11 + 0 - (o + -5). What is the highest common factor of 36 and s? 12 Suppose -4*y + 2200 = -2*p, p = y - 0*p - 550. Let w = -270 + y. What is the greatest common factor of w and 35? 35 Let o be 1148/(-12) - 6/(-9). Let w = -40 - o. What is the greatest common divisor of 11 and w? 11 Let f(m) be the first derivative of m**2/2 - 3*m - 1. Let n be f(5). Calculate the greatest common divisor of n and 4. 2 Let a = -16 - -2. Let t be (-1)/(2/a) - -3. What is the highest common divisor of t and 5? 5 Suppose -6 = 4*i + 2. Let o be 24/18*(-3)/i. Let q(f) = 4*f**2 - 1. Let n be q(-1). What is the greatest common divisor of n and o? 1 Let x be 6 + (-1)/((-2)/(-6)). Suppose -5*z - 47 = -2*d, -x*d + 5 = 2*d. Let b = z - -14. Calculate the greatest common factor of 30 and b. 5 Let i(q) = -q**3 + 12*q**2 - 12*q. Let u be i(8). Calculate the highest common factor of 16 and u. 16 Let n = 5 - 5. Suppose 5*w = -5, -5*k + 5*w + 25 = -n*k. What is the highest common factor of 1 and k? 1 Suppose 8 = -w + 2*w. Suppose d + 5 = w. Suppose 3*i - 12 = 69. What is the highest common divisor of i and d? 3 Let y(t) = t + 23. Let v be y(17). Calculate the greatest common divisor of v and 8. 8 Let d = 80 + -35. Calculate the highest common divisor of 5 and d. 5 Suppose 3*s + 33 = 2*c, 9 = c - 0*c - 4*s. What is the highest common factor of 7 and c? 7 Let v = 15 + -11. Suppose 0 = -a - v*a. Suppose 4*y + 14 = u - a*y, -y = u - 19. What is the highest common factor of u and 9? 9 Let d be ((-48)/(-30))/((-4)/(-50)). Suppose 8 = 4*i - d. What is the greatest common factor of 14 and i? 7 Suppose -2*f - 76 = -3*m, 0 = -m + 3*f + 33 - 3. Let w = 67 - 7. Calculate the highest common divisor of m and w. 12 Let f(b) = 6*b - 10. Let v be f(11). Calculate the highest common factor of v and 84. 28 Suppose 3*o + 55 = 8*o - z, -2*o - 5*z = -22. Let w be (-1 + 1 - -1)*1. What is the greatest common divisor of o and w? 1 Let p(u) = 27*u - 3. Let r be p(1). Calculate the highest common divisor of 60 and r. 12 Let a = 94 - 57. What is the highest common factor of 333 and a? 37 Let g(i) = i + 2. Let y be g(7). Let o be (6 + -8)*2/(-4). Calculate the greatest common divisor of o and y. 1 Let d be (0 + -1)*28/(-8)*2. Let x = 15 + -9. Let y(g) = -g + 13. Let b be y(x). What is the highest common divisor of d and b? 7 Let d be 108/8 - 1/(-2). What is the greatest common divisor of d and 112? 14 Let x(w) = -48*w. Let f be x(-1). What is the greatest common factor of f and 32? 16 Let p = 82 - -98. Calculate the highest common factor of p and 72. 36 Let h(l) = l**2 - 4*l + 6. Let g be h(5). Let r = 26 + -15. Calculate the highest common divisor of r and g. 11 Let o be 166/((-3)/(-5 - -2)). Suppose 0 = -5*y + 4*b + o, -4*y + 2*b = -2*y - 68. What is the highest common factor of 10 and y? 10 Let i(j) = -j - 2. Let o be i(0). Let k be (-5)/(o*3/12). Let y = k - 1. What is the highest common factor of 81 and y? 9 Let b be (2 + -1)*-1 + 10. Suppose 0 = -0*n + 3*n + x - 27, -x = 0. Suppose 0 = r - n. Calculate the highest common factor of b and r. 9 Suppose x + 0 + 5 = 0. Let i(j) = j**2 + 4*j - 3. Let c be i(x). What is the highest common divisor of 6 and c? 2 Suppose -15 = -3*k - 2*q, 17 + 4 = 2*k + 5*q. Suppose 0 = 5*f + k*x - 34, -x = x - 6. Calculate the highest common factor of 5 and f. 5 Let r = 387 + -133. Suppose -5*z + r = 3*d, 0 = -5*d - z - 2*z + 434. What is the greatest common factor of 11 and d? 11 Let q(c) = c**2 + 5*c - 38. Let t be q(5). Suppose -p - 7 = 3*f - 27, 8 = 2*f - 2*p. Calculate the greatest common divisor of t and f. 6 Let l be (-4)/6 - 24/18. Let a be (2*-10)/l - 2. Suppose 2*q - 346 = -5*k + k, 0 = -4*k + 4*q + 364. Calculate the greatest common factor of a and k. 8 Let r(i) = 2*i + 5. Let s be r(11). Let v be (2/(-2))/((-2)/18). Calculate the highest common divisor of v and s. 9 Suppose 277 = 7*u - 59. Calculate the greatest common factor of u and 24. 24 Let z = -5 - -3. Let w be 2/(-8) + (-11)/4. Let o be z/3 + (-50)/w. What is the highest common factor of o and 40? 8 Let b(m) = 2*m**3 - 5*m**2 + 4*m - 4. Let a = 0 - -3. Let f be b(a). Calculate the greatest common divisor of f and 119. 17 Let r(s) = 28*s + 1. Suppose -4*q = 2*p - 16, 3*q + 11 = 4*p + 4*q. Let l be r(p). Calculate the greatest common divisor of 38 and l. 19 Let b = 23 - 5. Suppose -4*d + 0*d = -36. Calculate the greatest common divisor of d and b. 9 Suppose 2*t + 39 = k - 2*t, -3*t - 36 = -k. Suppose -4*p = -p + k. Let w be 38/(1 - (-7)/p). What is the highest common factor of w and 19? 19 Suppose -7*d = d - 136. Let l(h) = -h**3 + 6*h**2 + 4*h + 3. Let m be 3/(2/(-16)*-6). Let s be l(m). What is the greatest common divisor of d and s? 17 Suppose -2*f = f + 12. Let w = f - -4. Suppose w*x = -3*x - 3*t + 15, 2*x - 10 = -5*t. What is the highest common facto
{ "pile_set_name": "DM Mathematics" }
s)/s) assuming s is positive. s**(9973/1638) Simplify ((r*r*r**(-3)/r*r)/((r**(-3/5)*r*r)/r)*r*r**7/r*(r*r*r**(9/2)*r)/r)**48 assuming r is positive. r**(2904/5) Simplify (((a/(a*a*a**(1/3)*a))**(-2/137)/((a*a*a**5*a)/a*a*a**(-5)))**(8/9))**(-23) assuming a is positive. a**(224296/3699) Simplify (q**(-1)/q)**(-3/10)*(q**(-2/5))**(-45)*(q/(q/q**(1/7)))/(q*q**(-2/7)*q)*q**(-2/13)*q**(-3/7) assuming q is positive. q**(1069/65) Simplify (((v**2/v*v*v**1*v*v)/(v/(v/(v/(v*v**0*v))))**(-1/8))**13)**(-2/87) assuming v is positive. v**(-169/116) Simplify ((o**(2/3))**50)**(-1)/((o/(o*o**0*o)*o*o*o)**(-1/6)/(o/(o*o**(-3)/o)*o**(-2/11))) assuming o is positive. o**(-321/11) Simplify (l/l**2*l**(-2/5))/((l*(l/(l*l**(-2)))/l)/l**(-2/13))*((((l/l**7)/l)/l*l)/l**6)/(l**(2/3)/l**(-1/9)) assuming l is positive. l**(-10139/585) Simplify ((u**(-1/2)*u*u)**(4/5))**(16/3)/((u**(-3/4)/(u/(u*u**(-1))))/((u/u**(-1))/u)**(-1/29)) assuming u is positive. u**(4707/580) Simplify (((u**3*u)/(u/(u**(-1)*u*u)))/((u**(-1/2)/u*u)/((u**(-4/5)*u*u)/u)))/((u**(-1/2))**34/(u**(-2/7))**(-12/11)) assuming u is positive. u**(16949/770) Simplify (l**6/(l/l**(1/2)))**(-34)*(l*l**(1/2)*l)**(1/48)*(l**7*l)/(l*l*((l**(-1/6)*l)/l)/l) assuming l is positive. l**(-5753/32) Simplify (q**8*q**9*q)/((q*q**(-2)*q)/((q/(q/(q*q**(-8))))/q))*(q**(2/5)*q)**(-49)*(q*q**(3/2))/(q/(q*q/(q*q*q**(1/15)))) assuming q is positive. q**(-343/6) Simplify (h**(-37)*h/(h/h**(-22)))/(h**(10/7))**(-1) assuming h is positive. h**(-403/7) Simplify (((q**(-1/4)*q*q*q)/q*q**(-2)*q)/(q/q**(2/7))**(1/9))/(q/(q/((q/q**3)/q))*q**(2/7)*q**(2/9)*q*q**(-3/4)) assuming q is positive. q**(367/126) Simplify ((v/(v**(-2/9)/v))/(v/(v/(v*(v**5*v)/v*v))*v))**(-47)/((v**0)**(-12)/((v**1/v)/v)**(6/5)) assuming v is positive. v**(12166/45) Simplify (n/(n**42/n))**48*(((n/n**(2/23))/n)/n)**(-9/8) assuming n is positive. n**(-353055/184) Simplify (d/(d*d**(1/26)*d)*d*d**(7/5)*(d**(1/3))**(9/10))**(-8/5) assuming d is positive. d**(-864/325) Simplify (n**(-7)/n**(-6)*n**10/n*n**(-27))**(30/7) assuming n is positive. n**(-570/7) Simplify (((((j*j**(-6))/j*j)/(j/j**3))/(j**(2/3)*j)**(1/52))**(-1/2))**(-27) assuming j is positive. j**(-4257/104) Simplify ((w**0)**(1/5))**(5/4)*(w**(-6)*w/(w*(w/(w/(w**0*w)))/w*w))/(w*w**(2/3)/w*w)**16 assuming w is positive. w**(-101/3) Simplify (x*x**0)**(-1/44)*(x**(-4)/x)/x**6*(x/x**(-2/7))**(-37)/(x**(-2/11)*x*x/(x*x*x/(x**(-2/17)*x)*x*x)) assuming x is positive. x**(-294759/5236) Simplify (n*n**(-32)*n*n/n**(-23)*n)/(n**(-27))**8 assuming n is positive. n**211 Simplify (z**(-9/5)*z)**(-32/9)/(z*z/(z**(2/87)/z))**46 assuming z is positive. z**(-174998/1305) Simplify ((((c**0*c)/c)/c)**(-18/13)*c*c/c**19*c*c*c**(-6))**(-16/7) assuming c is positive. c**(4080/91) Simplify ((o/o**(2/7)*o)/((((o*o**(-2/13))/o)/o*o)/o))/(o/(o*o/o**(-2/3))*o*o**(2/3)*o)*(o**9/((o/o**4)/o))**48 assuming o is positive. o**(56954/91) Simplify ((w*w**(-2/9))**(4/9))**38*((w/(w/(((w*w/((w/w**1)/w))/w)/w)*w)*w)/w)**(-2/23)*w**(-1)/(w**5*w) assuming w is positive. w**(497/81) Simplify (f*f**(-1/9))/f**(-33)*f**(-2/63)/f**(-2/81) assuming f is positive. f**(19211/567) Simplify ((b*b**2)**(-9/2)/(b**(-2/3)/b*b*b*b**8*b))/(b*b**(-3/4)/b*b*b**(-2/9)/b*b**(3/4)/(b/(b*b/b**(-3)))) assuming b is positive. b**(-479/18) Simplify z**(7/2)/(((z*(z*z**2*z*z*z)/z)/z)/z*z)*z**(3/7)*(z**(-5)/z)/z*z*(z**(-2/25)*(z/(z**(-2/7)/z*z))/z)/(z**(-6)*z*z*z**(1/4)) assuming z is positive. z**(-2181/700) Simplify ((n*n**(-2/9))**47)**19*((n**(2/5))**(-44))**(-1/69) assuming n is positive. n**(719129/1035) Simplify w**(-7)/w*w*w**(-1/4)*(w/w**(-5))/(w**(-2)/w)*((w/w**7)/w**(-1/9))/(w*w*w/(w**(2/3)*w))**(3/13) assuming w is positive. w**(-2081/468) Simplify ((r/(r**1/r))**(-29))**(5/13)*(r**1*r*(r*r**(-1/5))/r*r)/((r/r**(3/5))/((r**(-4)/r)/r)) assuming r is positive. r**(-959/65) Simplify n**1/(n/(n**(-2/5)*n))*((n*n/(n*n/(n/n**(-1)))*n)/n)**(1/15)*(n**(-2/5)/n*(((n/n**(2/27))/n)/n)/n)/(n/n**(-1/3))**8 assuming n is positive. n**(-362/27) Simplify ((m**(-2))**(5/6)*(m*m*m**3)**(-2/29))**(11/7) assuming m is positive. m**(-275/87) Simplify ((p/(p**(11/3)*p)*(p**(1/6)*p)/p)/(p**5/p**(-11)))**(-4/5) assuming p is positive. p**(78/5) Simplify ((b/b**(-2/13))/(b**(1/5)/b))/(b*b**(-2/5)*b**(2/3))*(b**(1/3)/(b*b**(-3/2)))/(((b/b**(-4)*b)/b)/b**(3/4)) assuming b is positive. b**(-2129/780) Simplify (r**(-1))**(-1/6)*(r**(-2/5))**(-6/7)*(r*r**(1/6)*r*r*r*r*r**(-4)*r)/(r*(r*r**(-2/3)/r*r)/r)**36 assuming r is positive. r**(-979/105) Simplify (((o/o**0*o)/o)**(4/9))**(-3/22)*(o**2*o*o**(-5)*o)**50 assuming o is positive. o**(-1652/33) Simplify (l*(l/l**(1/4)*l)/l*l)**45*l**(1/3)/(l/l**(2/13))*l**(2/13)/l*l**(-3/4)*l/(l*l**5)*l*l*l*l**(2/9) assuming l is positive. l**(14024/117) Simplify (j/j**(-2/15))/((j/(j**(-34)*j))/j)*(j**(-1/2))**3 assuming j is positive. j**(-1001/30) Simplify ((t**1)**(13/3)*(t/t**(-7)*t)/t*t/(t**(-1)/t)*t)/(((t**(-2/9)/t)/t)**(23/4))**(-33) assuming t is positive. t**(-1216/3) Simplify (a/(a*a**(2/11)*a)*a*a/(a**(6/7)*a))/((a*(a*a**4)/a)/a*a**(-7))*((a**1)**(2/45))**20 assuming a is positive. a**(1975/693) Simplify ((l**(9/4))**(-6/13)/(l**(-23)/(l**(-3)*l)))**(-50) assuming l is positive. l**(-12975/13) Simplify (u**(-27/4)/u**(-34))/(u*u**(-7))**(-38) assuming u is positive. u**(-803/4) Simplify (((b*b*((b/(b/b**14)*b)/b)/b*b/(b/(b/(b*b**11*b)))*b)**(1/4))**(6/35))**18 assuming b is positive. b**(108/35) Simplify (r**(-1/9)/r**(2/11))**(-1/23)*(r/(r**(-2)/r)*r**(-1/3))/(r**0)**(8/7) assuming r is positive. r**(8378/2277) Simplify ((p**(-3/5)/p)/p)/p**(-2)*(p*p**(-2/3))**37*(p*p/p**(1/11)*p)/(p*p*p**(-1/2)*p)*(p**(-1/4))**(6/19) assuming p is positive. p**(37819/3135) Simplify (((h**(-1/4)/h**(8/7))**49)**(-1/5))**(-21/5) assuming h is positive. h**(-5733/100) Simplify ((l**(-2/3))**11*l/(l**(-1/2)*l)*l*l**(-6))/(l/((l**(5/6)/l)/l)*(l**(2/13)/l)/l*(l*l**1)**(-11/5)) assuming l is positive. l**(-504/65) Simplify b**15/b**(-1/2)*(b*b/(b**(-20)/b))**(2/19) assuming b is positive. b**(681/38) Simplify (b*(b*b*b**(-39)/b)/b)**(-2/55)/(b**(-12/7)/b**(-39)) assuming b is positive. b**(-13823/385) Simplify ((t**(5/4)*t)/(t*t/(t**5*t))*(t*(t*t/(t*t**6)*t)/t*t)/t*t**(-1/3)*t)/(t**(-2/5)/(t**7*t))**2 assuming t is positive. t**(1183/60) Simplify ((q*(q*q**0/q)/q)/q)**37*(q**(-9)*q)/q*q*q**(-2/5)*q**(-5)*q*q**(4/3)*q**6/q**(-5/2) assuming q is positive. q**(-1187/30) Simplify (b**0/b*(b/(b/(b/b**(6/11))))/b)/((b*b/(b/b**9*b*b))/b**6)*(b**(5/4)/((b/b**12)/b))**(-2) assuming b is positive. b**(-661/22) Simplify ((m**(1/3))**(3/26))**(-2/61)*m**5*m**(-1/2)*m*m*m**6*m*m**(2/7)/m*m*m*m assuming m is positive. m**(175239/11102) Simplify ((m**(3/5)/m*m*m**(-4)*m)/(m**1)**(11/8))/(m**(-4)/(m/m**(-3))*m**(-1/4)/m**(-2/5)) assuming m is positive. m**(163/40) Simplify (h**(7/2)*h**(-21))/(h**(1/2)*h/(h**(-2/23)*h)) assuming h is positive. h**(-416/23) Simplify ((u/(u/(u**(-1)*u)))**(-33))**(-2/21)/(u*u/(u/(u*u*u**3*u))*u**(-5)*(u*u**(-2/15)/u)/u**(2/9)) assuming u is positive. u**(-74/45) Simplify ((w**1)**14)**(11/6)*(w/(w/(w*(w*w*w**(-1)*w)/w)))**(-12/11)*((w*w*w/w**(-1))/w)**5 assuming w is positive. w**(1270/33) Simplify (t**(-36)*t**9*t*t)/(t**(-1/68)/((t**32*t)/t*t)) assuming t is positive. t**(545/68) Simplify ((u**(-25)/((u/(u/(u*u**(-1/20))*u*u))/u))**1)**(4/15) assuming u is positive. u**(-153/25) Simplify (((p**(1/2))**(-41/3)/((p/p**(-2/7))/(p/p**(-2/9))))**(-1/52))**(3/32) assuming p is positive. p**(869/69888) Simplify ((w*w**8)/w*w**4/w)**(-49)*(((w/w**(-2))/w)/(w*w**(3/10)))/(w**(1/5))**6 assuming w is positive. w**(-1079/2) Simplify (j**8/j*j*j/((j/(j*j*j/j**(2/13)*j))/j))/(j**(-8)/j**(-1/5))*(j/j**(1/2))**(-7/2)*(j**(2/3)/j)/j**(-8) assuming j is positive. j**(20719/780) Simplify (a/(a**(-1/4)/a)*a**(-2)*(a**0)**33)/((a*a**(1/7)*a**(-4)/a)/(a**(-1)*a/a**(-4/7))) assuming a is positive. a**(131/28) Simplify (a/(a/(a/(a/(a/a**(-1/2)*a)))))**16*((a*a/(a**(2/5)*a))/a)**14*((a*a*a/(a/(a/(a**(-2/7)*a))))**(-34))**(3/5) assuming a is positive. a**(-428/35) Simplify ((o**0/o)**(25/2)/((o*o/o**(-5)*o)/o**(2/17)))/((o*(o*o**(-2/3))/o)**32/(o**(-2/3))**(-2/5)) assuming o is positive. o**(-5233/170) Simplify (c**(-7/3)*c*c**(2/5)*c)**(2/87)/((c/(c/c**(-2/3
{ "pile_set_name": "DM Mathematics" }
be (-615)/l*1*-4. What is a rounded to the nearest 1000? -1000 Let m = 3160 + -3160.0001831. Round m to six dps. -0.000183 Suppose -m = 3*a + 76, -11 = -2*a - 2*m - 55. Let u be a - (3 - 3) - -3. Let l be (0 - (-3000000)/9)*u. Round l to the nearest 1000000. -8000000 Let f = 9714.1 + -9721.6039. Let w = -34 + 41.5. Let y = f + w. Round y to three dps. -0.004 Let y(b) = -b - 23. Let p be y(-25). Suppose -19399988 = -4*t + 3*o, 2*t + p*t - 4*o - 19399984 = 0. Round t to the nearest 100000. 4900000 Let c = -2.663 - 315.137. What is c rounded to the nearest ten? -320 Let o be (2 - 6) + (0 - -313208). Suppose -x - 3 = 0, 5*x - o = -d - 23219. Round d to the nearest ten thousand. 290000 Let w = 82.3 + 2.7. Let o = w - 85.000121. What is o rounded to 5 dps? -0.00012 Let u = -209.125 + 208.3. What is u rounded to the nearest integer? -1 Let g = 127 - 109. Let k = 18.012 - g. Round k to two dps. 0.01 Let y = -6 - 26. Let g = y + 32.0132. Round g to 3 decimal places. 0.013 Suppose -4 = -4*w, -4*u + 6*w - 2*w = -158456. Let j be ((-175)/(-14) + -3)*(-3 + -2567). Let n = u + j. Round n to the nearest 1000. 15000 Let f(p) = -11 - 11 - 13 + 20 + 36855*p. Let g be f(-7). What is g rounded to the nearest ten thousand? -260000 Let v = 17.685 + 145.487. Let r = 162 - v. Let l = r - -1.2. Round l to 2 decimal places. 0.03 Suppose -95040 = 9*c + 176580. What is c rounded to the nearest 1000? -30000 Let g = 53 - 58. Let t = -17986 - -4798. Let m be 3 - g/((-20)/t). What is m rounded to the nearest 1000? 3000 Let y = -1057 - -1057.002965. Round y to 4 dps. 0.003 Suppose 2*h - h + 297061 = 0. Suppose -4*q = -3*f + 477175, 3*f + q + 318120 = 5*f. Let o = h + f. What is o rounded to the nearest ten thousand? -140000 Let k = -198.1671 + 0.4671. Round k to the nearest 100. -200 Let o = 537 - 1731. Suppose 0 = -9*m + 14499 + 5157. Let p = o + m. What is p rounded to the nearest one hundred? 1000 Let j be 4 - (-6)/3*2. Suppose j*l + 35 = 13*l. Suppose l*r - 3*r - 9680000 = 0. Round r to the nearest 100000. 2400000 Let f = -15 + 14.9845. Let y = f - -0.015500562. Round y to 7 decimal places. 0.0000006 Let i = 7.4 - 7.5. Let k = -0.096 - i. What is k rounded to 2 decimal places? 0 Let c = 23 - 23.07. Let u = c - -0.07. Let y = u - -0.0004. What is y rounded to four decimal places? 0.0004 Let j = 4 + 3. Suppose 0 = 5*m - 5*g, -j*m + 2*g + 12 = -2*m. Suppose 5*t = m*x + 3*t + 839996, -4*t = 2*x + 420008. What is x rounded to the nearest 10000? -210000 Let v = -7.8 - -7.80000685. Round v to 6 decimal places. 0.000007 Suppose 2*l + 4*v = 35039998, 35039998 = 2*l + v + v. Suppose 0 = 2*w + w + m - 17520001, 0 = 3*w - m - l. What is w rounded to the nearest 1000000? 6000000 Let a = -0.5 + 10.5. Let l = -2457.104 + 2447. Let x = l + a. Round x to two dps. -0.1 Let n = 2527.999999252 - 2528. What is n rounded to seven dps? -0.0000007 Suppose -9*f - 324100 = -16*f. What is f rounded to the nearest 10000? 50000 Suppose 2281*p = 2290*p + 2070. Round p to the nearest ten. -230 Let k = -13.248 - -0.148. Let d = k + 13. Let t = -0.02 - d. Round t to two decimal places. 0.08 Let d be 9032/12 - (-3)/9. Suppose -5*b = 8247 + d. Let f be (0 - 975/(-9))*b. What is f rounded to the nearest 10000? -200000 Let q = -76 - -79. Suppose t = -5, -j - q*t - 1125 = 1830. What is j rounded to the nearest one hundred? -2900 Let z = 0.73 - 2.16. Let s = 1.42937 + z. What is s rounded to four decimal places? -0.0006 Let v(t) = 11*t**2 + 2*t. Let a be v(1). Suppose 0 = a*q - 439011733 + 110111733. What is q rounded to the nearest 1000000? 25000000 Let g = -23.82 - -1087.82. Let c = 1064.0000457 - g. What is c rounded to 6 dps? 0.000046 Let h = -2974 - -2973.95269. Let r = 0.46721 + h. Let b = -0.4 + r. What is b rounded to 3 dps? 0.02 Let y be 528/(-2) - -8*(-3)/(-6). What is y rounded to the nearest 10? -260 Let a(t) = -t**3 - 2*t**2 - 3*t - 3. Let q be a(-2). Let g be 95999949/15 - q/5. Let i be g/(-8) + (-2)/4. Round i to the nearest one hundred thousand. -800000 Let c = -508.0000005661 - -508. What is c rounded to seven decimal places? -0.0000006 Let k = -105 + 105.0000478. What is k rounded to five dps? 0.00005 Suppose 0*i = 5*v - 2*i - 13489, i = 5*v - 13492. Suppose 3*z - 5*z = f - 6, 0 = f - 4*z + 6. Suppose -24501 = -f*g + v. What is g rounded to the nearest 1000? 14000 Let g(r) = -5*r + 64999*r**2 + 15 - 4 - 5. Let l be g(-6). Suppose -9*t + 3*t + l = 0. Round t to the nearest one hundred thousand. 400000 Let x = -928 + 928.415. Round x to 2 decimal places. 0.42 Suppose -o = 3*o - 48. Let v(c) = -c**3 - 7*c**2 - 7*c - 2. Let x be v(-6). Let n be o/x + (-114)/(-2). What is n rounded to the nearest 100? 100 Let h be -3 - -1*(-2 + (-1 - -3)). Let l be h/((-27)/(-129600002)) - 2/(-9). What is l rounded to the nearest 1000000? -14000000 Suppose -4*d + 75818 = -148182. What is d rounded to the nearest 100000? 100000 Let j = -0.0972 + 0.098769. Round j to 4 dps. 0.0016 Let k = 0.01809734 + -0.01804. Round k to 5 dps. 0.00006 Let y = -1.5901644 - -1.59. Round y to five dps. -0.00016 Suppose -3*r = 2*r - 34990. Let z(y) = 5*y + 8. Let f be z(-1). Let x be 2 - f*r/(-3). Round x to the nearest 10000. 10000 Suppose -69*d - 2*f = -71*d + 7260002, 4*f - 10889996 = -3*d. What is d rounded to the nearest one million? 4000000 Let k(a) = -22991*a - 5. Let l be 7/(-7) - 3*-1. Let s be k(l). Let x = -375987 - s. What is x rounded to the nearest 100000? -300000 Let x = -58202273 + 58215470.3495. Let r = x + -13815.34607. Let n = r + 618. What is n rounded to 4 decimal places? 0.0034 Let m be 15/10*16/6. Suppose -4*x = -i + 154164 + 664764, m*i - 2*x - 3275726 = 0. Let o = i + 51068. What is o rounded to the nearest one hundred thousand? 900000 Let o = -22.506 - -23.09865. Let h = 139 - 138.41. Let q = o - h. What is q rounded to four dps? 0.0027 Let c = 1 + -1.36. Let r = -904 - -904.252. Let v = c + r. What is v rounded to 2 decimal places? -0.11 Suppose -2*j = -y - 111306, 3*y - 3*j = -0*y - 333909. What is y rounded to the nearest 100000? -100000 Suppose 4*m - i - 52 = 0, 0 = -3*m + m - 5*i + 26. Let f be (1/(-1))/(m/(-104)). Let o(d) = -50*d. Let a be o(f). Round a to the nearest one thousand. 0 Suppose 0 = 119*d - 111*d + 219576000. Round d to the nearest 100000. -27400000 Let v = 581.5 - 373. Let u = 186.445 - v. Let q = -22 - u. What is q rounded to 2 dps? 0.06 Let c = -0.5729 - -0.1811. What is c rounded to two decimal places? -0.39 Let c = -0.08194 + -81.18806. Let v = -80.89916 - c. Let z = -0.37 + v. Round z to 4 dps. 0.0008 Let t = 4219.6257 - 4219. Round t to one decimal place. 0.6 Suppose -y - 3*b = 0, -y - 2*b - 2 = 2*b. Let r be 25296032/(-48) + 4/y. Round r to the nearest 100000. -500000 Suppose 11*l - 9 = 14*l. Let v be (-4)/(-6)*(3153 + l). What is v rounded to the nearest 1000? 2000 Let o(m) = -3120*m**3 - 3*m**2 + 10*m + 6. Let q be o(-5). Let d = 560119 + q. Round d to the nearest 100000. 1000000 Suppose 2*f + 17272 = -3*p - 322719, 0 = 2*f + p + 339997. What is f rounded to the nearest ten thousand? -170000 Let n = -86.1 + 86. Let y = 43 - 42.8968. Let x = y + n. Round x to 3 decimal places. 0.003 Let m = 38.67 + -0.67. Let d = 37.99999958 - m. Round d to 7 dps. -0.0000004 Let o = 1174 + -663. Let n = o + -515.86. Round n to one decimal place. -4.9 Let i = 1 + 15. Suppose -4*x = -i, -5*q - 3*x = x + 25984. Round q to the nearest one thousand. -5000 Let j = -697177.581 + 697180.98099851. Let o = j + -3.4. Round o to seven decimal places. -0.0000015 Let i = -0.593 - -40.593. Let l = 16.1 + 25.6. Let m = l - i. What is m rounded to the nearest integer? 2 Let y = 4.66 - 4.6094. What is y rounded to 3 dps? 0.051 Suppose -3*d = 2*d - 2*o - 10656706, 10656694 = 5*d + 2*o. Let v = -4891340 + d. Round v to the nearest one hundred thousand. -2800000 Let i = 1760.000002015 - 1760. What is i rounded to 7 dps? 0.000002 Let i = -466.999999204 + 467. What is i rounded to seven dps? 0.0000008 Let j = 1232 + -1231.99999411. Round j to 6 dps. 0.000006 Let o = 50 - 27. Let h = o - 47. Let f = 406 - h. Round f to the nearest 100. 400 Let b = 12686.06159 - 12686. What is b rounded to 2 dps? 0.06 Let z = 104.8 + -104.8384. Round z to two dps. -0.04 Let v(c) = -2363*c - 134. Let s be v(-18). Round s to the neares
{ "pile_set_name": "DM Mathematics" }
350620 = 0. -7255/6, -6, -3, -2 Find l, given that -l**4/5 - 90596*l**3/5 - 26189603*l**2/5 - 77934652*l/5 - 51835644/5 = 0. -90306, -287, -2, -1 Find v such that -2*v**4/3 - 4290*v**3 - 2710604*v**2/3 + 17160*v + 10842448/3 = 0. -6217, -218, -2, 2 Suppose 5*m**2 + 241560*m + 49309675 = 0. Calculate m. -48107, -205 Determine f, given that 4*f**3 - 112778*f**2/5 + 74198308*f/5 - 5932256 = 0. 2/5, 760, 9757/2 Factor r**2/3 + 504811*r/3 + 673076. (r + 4)*(r + 504807)/3 Solve a**3/3 - 585*a**2 - 49*a/3 + 28665 = 0 for a. -7, 7, 1755 Factor 5*z**2 - 18571130*z. 5*z*(z - 3714226) Factor -1236*t**2 - 660367600*t + 4274224. -4*(t + 534278)*(309*t - 2) Let 14*i**4/5 + 70802*i**3/5 + 20228*i**2/5 = 0. What is i? -5057, -2/7, 0 Factor 2*q**2/5 - 15482*q/5 + 24103076/5. 2*(q - 5582)*(q - 2159)/5 Determine u so that -3*u**3/5 + 31023*u**2/5 + 1683831*u/5 + 330561 = 0. -53, -1, 10395 Determine w so that -131769*w**3 + 503481*w**2 + 373295*w/4 + 4225 = 0. -65/726, 4 Let 5*j**5 - 1850*j**4 - 50940*j**3 - 213570*j**2 - 107865*j + 374220 = 0. Calculate j. -21, -3, 1, 396 Factor -7*x**2 + 42225*x - 48248. -(x - 6031)*(7*x - 8) Let -h**5 + 676*h**4 - 107899*h**3 - 1977824*h**2 - 9523648*h - 7654400 = 0. Calculate h. -8, -1, 325, 368 Factor -2*p**2 + 4228*p - 830010. -2*(p - 1895)*(p - 219) Factor 5*o**2 + 49614045*o + 148842090. 5*(o + 3)*(o + 9922806) Factor 5*z**2 - 85625*z - 1542870. 5*(z - 17143)*(z + 18) Solve 4*a**3/5 + 48042*a**2/5 + 168104*a/5 + 72042/5 = 0. -12007, -3, -1/2 Solve 62*p**5 + 9715*p**4/3 - 20272*p**3 + 82619*p**2/3 + 7256*p + 348 = 0. -58, -1/6, -2/31, 3 Solve v**4 - 991*v**3 - 465375*v**2 - 62078125*v - 2667968750 = 0. -125, 1366 Factor 2*j**2/7 + 29340994*j/7 + 29340992/7. 2*(j + 1)*(j + 14670496)/7 Solve m**4/2 + 31188*m**3 + 481140908*m**2 - 162326179632*m + 13544784147848 = 0. -31354, 166 What is c in c**4/2 + 299747*c**3 - 6594559*c**2/2 - 1198988*c + 13189110 = 0? -599505, -2, 2, 11 Determine h so that -9*h**5/5 - 375*h**4 - 75408*h**3/5 - 749604*h**2/5 + 2457072*h/5 - 1282176/5 = 0. -159, -28, -24, 2/3, 2 Solve 2*g**5/3 + 1480*g**4/3 + 363032*g**3/3 + 9802652*g**2 - 10168158*g - 19850292 = 0. -279, -231, -1, 2 Find o, given that -2*o**3/13 + 11062*o**2/13 + 88624*o/13 = 0. -8, 0, 5539 Factor u**3/4 - 192*u**2 + 13941*u/4 + 108605/2. (u - 749)*(u - 29)*(u + 10)/4 Let -f**4/4 + 1769*f**3/2 + 1623928*f**2 - 6501017*f/2 + 6502785/4 = 0. Calculate f. -1335, 1, 4871 What is h in -h**2 - 9604920*h - 23063622051600 = 0? -4802460 Factor -2*z**3/5 + 233032*z**2/5 + 63298554*z/5. -2*z*(z - 116787)*(z + 271)/5 Let 124*x**3/5 + 6677652*x**2/5 - 13140384*x/5 - 430832/5 = 0. What is x? -53854, -1/31, 2 Let 3*f**4 + 411*f**3 - 71514*f**2 + 1550880*f + 36741600 = 0. What is f? -243, -14, 60 Let -5*q**4 - 6619295*q**3 - 39715585*q**2 + 6619295*q + 39715590 = 0. Calculate q. -1323853, -6, -1, 1 Determine g so that -5*g**4 + 4080*g**3 + 268880*g**2 - 5326080*g = 0. -76, 0, 16, 876 Suppose 5*j**5/4 + 379705*j**4/4 - 90*j**3 - 6834690*j**2 + 1620*j + 123024420 = 0. What is j? -75941, -6, 6 Suppose -2*m**4/3 + 3270980*m**3/3 + 3270984*m**2 + 9812956*m/3 + 3270986/3 = 0. What is m? -1, 1635493 What is w in 318*w**3 - 63537*w**2/2 - 70719*w/2 + 6060 = 0? -5/4, 8/53, 101 Determine s, given that s**3/10 - 5833*s**2/5 + 4437648*s/5 - 8851968/5 = 0. 2, 816, 10848 Factor -2*k**3 + 1608*k**2 - 101902*k - 1600872. -2*(k - 733)*(k - 84)*(k + 13) Suppose -h**5/3 - 1595*h**4/3 - 6854*h**3 + 6380*h**2/3 + 82264*h/3 = 0. Calculate h. -1582, -13, -2, 0, 2 Factor 4*a**3 - 1344172*a**2 - 1344184*a + 2688352. 4*(a - 336044)*(a - 1)*(a + 2) Factor v**3 + 15345341*v**2 + 58869849583552*v - 176609686858752. (v - 3)*(v + 7672672)**2 What is s in 5*s**2 - 27808645*s - 55617310 = 0? -2, 5561731 Factor -4*p**3/3 - 68*p**2 + 6964*p/3 + 13140. -4*(p - 27)*(p + 5)*(p + 73)/3 Find i, given that -i**3/2 - 40*i**2 + 6088*i + 24960 = 0. -156, -4, 80 Solve 2*w**4/3 - 1036*w**3/3 - 1156616*w**2/3 + 4639852*w/3 - 1160734 = 0. -547, 1, 3, 1061 Suppose -d**3 - 1314*d**2 - 188561*d - 2231424 = 0. Calculate d. -1152, -149, -13 Factor 2*h**2/3 - 1329248*h/3 - 1329250/3. 2*(h - 664625)*(h + 1)/3 Factor -57*d**3 + 7188*d**2 - 226485*d + 2114154. -3*(d - 21)**2*(19*d - 1598) Factor 5*p**2/2 - 475819*p/2 - 47582. (p - 95164)*(5*p + 1)/2 Let -2*v**2/5 - 834038*v/5 + 6672432/5 = 0. What is v? -417027, 8 Factor -3*x**2 + 10942209*x - 65653146. -3*(x - 3647397)*(x - 6) Let -2*r**3 - 5468764*r**2 - 3738422460962*r = 0. What is r? -1367191, 0 Factor -h**2/4 - 33535*h/4. -h*(h + 33535)/4 Suppose -s**3/2 + 2684*s**2 + 4309303*s/2 - 2157335 = 0. What is s? -710, 1, 6077 Solve -4*r**5 - 740*r**4 + 13268*r**3 + 910180*r**2 - 13264*r - 909440 = 0 for r. -196, -29, -1, 1, 40 Factor f**2/3 + 1720174*f/3 + 3440344/3. (f + 2)*(f + 1720172)/3 Solve -3*b**3/2 - 18765*b**2 - 1721619*b/2 - 9890184 = 0 for b. -12464, -23 Solve -g**2/9 + 7399*g/3 + 111210 = 0. -45, 22242 Factor i**2/3 + 9369745*i/3 + 3123248. (i + 1)*(i + 9369744)/3 Find g such that -5*g**4 - 100*g**3 + 81615*g**2 - 4091850*g + 37626120 = 0. -158, 12, 63 Factor -z**4/5 + 109054*z**3/5 - 2996223289*z**2/5 + 251146563624*z - 26518031689680. -(z - 54315)**2*(z - 212)**2/5 Determine c, given that -129*c**2/4 + 24398679*c/4 - 567411/2 = 0. 2/43, 189137 Find i, given that 4*i**5/9 - 20710*i**4/9 - 113984*i**3/9 - 217654*i**2/9 - 165848*i/9 - 41464/9 = 0. -2, -1, -1/2, 5183 Factor -3*i**2/5 - 996783*i/5 + 3787992. -3*(i - 19)*(i + 332280)/5 Solve 5*f**4 + 2055*f**3 - 77490*f**2 + 251620*f + 829560 = 0. -446, -2, 6, 31 Solve -2*q**3/5 + 677668*q**2/5 - 1626360*q + 24395184/5 = 0. 6, 338822 Solve 16*y**4 - 1508872*y**3 + 35573732097*y**2 - 17786583136*y + 2223311104 = 0. 1/4, 47152 Find p such that -3*p**4/8 + 3*p**3/8 + 6969*p**2/4 - 17307*p/2 - 10395 = 0. -70, -1, 6, 66 Determine g, given that 1110*g**4 + 17042*g**3 - 9044*g**2 = 0. -238/15, 0, 19/37 Determine f so that -5*f**3 + 2249925*f**2 + 33750000*f = 0. -15, 0, 450000 Factor 2*g**3/7 - 12316*g**2 + 8949824*g/7 - 232554816/7. 2*(g - 43002)*(g - 52)**2/7 Suppose -2*q**5 - 872*q**4 - 23618*q**3 - 3572*q**2 + 536224*q + 911680 = 0. What is q? -407, -28, -4, -2, 5 Factor -4*k**2/3 - 819788*k/3 - 31953480. -4*(k + 117)*(k + 204830)/3 What is v in 4*v**5 - 6312*v**4 + 2533844*v**3 - 34501616*v**2 + 99939600*v + 136981376 = 0? -1, 7, 8, 782 Factor -5*j**3 - 148195290*j**2 - 1098092198909205*j. -5*j*(j + 14819529)**2 Factor 4*s**3/3 - 196364*s**2/3 + 836539332*s - 807042472812. 4*(s - 24021)**2*(s - 1049)/3 Determine c so that -c**5 + 565*c**4 - 84667*c**3 + 2499675*c**2 + 17345484*c + 27207360 = 0. -3, 48, 188, 335 Factor 4*j**4 + 69432*j**3 + 230988004*j**2 - 610239236640*j + 308987490241600. 4*(j - 916)**2*(j + 9595)**2 Solve -21*x**3 - 29466*x**2 - 9708012*x + 447261672 = 0 for x. -722, 286/7 Let w**4/3 - 1267*w**3/3 - w**2/3 + 1267*w/3 = 0. What is w? -1, 0, 1, 1267 Factor 2*b**2/11 - 22456*b/11 + 269184/11. 2*(b - 11216)*(b - 12)/11 Factor -5*a**3/4 - 73280*a**2 - 1072965025*a + 30100499660. -5*(a - 28)*(a + 29326)**2/4 Suppose -3*g**5/8 - 36447*g**4/8 + 2343279*g**3/8 - 19748613*g**2/8 - 585819*g/2 + 4946265/2 = 0. What is g? -12213, -1, 1, 10, 54 Factor -5*f**3 - 224985*f**2 + 14865345*f - 245368035. -5*(f - 33)**2*(f + 45063) Factor 3*h**3 + 3426*h**2 + 37353*h + 33930. 3*(h + 1)*(h + 10)*(h + 1131) Suppose -h**4/2 + 284658*h**3 - 40515088482*h**2 = 0. What is h? 0, 284658 Solve 5*v**3 + 8984625*v**2 - 62892660*v - 71877280 = 0. -1796932, -1, 8 Factor -x**2/2 + 8093619*x - 65506668517161/2. -(x - 8093619)**2/2 Factor -22*m**2 - 172531*m + 635526. -(m + 7846)*(22*m - 81) Solve 2*b**4/11 - 2870*b**3/11 + 82878*b**2 + 88360670*b/11 - 98044300 = 0. -86, 11, 755 Let -2*b**4/9 - 347042*b**3/9 = 0. Calculate b. -173521, 0 Factor g**2/2 + 29023*g/2 + 12000846. (g + 852)*(g + 28171)/2 Factor -269835*t**3 - 1079338*t**2 - 1079332*t + 8. -(t + 2)**2*(269835*t - 2) Find q, given that -690*q**4/7 - 9424*q**3/7 + 104732*q**2/7 - 4960*q + 42 = 0. -21, 1/115, 1/3, 7 Factor -j**2/11 - 3158626*j/11 - 2494229551969/11. -(j + 1579313)**2/11 Factor 3*s**5/7 + 15154206*s**4/7. 3*s**4*(s + 5051402)/7 Solve -2*g**4 + 189028*g**3/11 + 12722178*g**2/11 + 5157728*g - 10737160/11 = 0 for g. -62, -5, 2/11, 8659 Solve 3*t**5/2
{ "pile_set_name": "DM Mathematics" }
sqrt(52) - sqrt(52))*5)/(sqrt(2304) - sqrt(4))*-4)**2. 0 Simplify (-5*2*sqrt(1008) + 1)**2. -240*sqrt(7) + 100801 Simplify 1*(sqrt(6)/(sqrt(2)*-1) + sqrt(3)) + 3 - (3*sqrt(3)*3 + (sqrt(363) + -1*sqrt(363) + sqrt(363))**2). -360 - 9*sqrt(3) Simplify (((1*sqrt(2000) - sqrt(2000)) + sqrt(2000))/((sqrt(100)*-2)/sqrt(10)))**2 - (sqrt(98) + 1 + 5)**2*-5. 420*sqrt(2) + 720 Simplify (sqrt(156)/(sqrt(12)*1) + 4 + sqrt(13)*2)**2 + 1*2*sqrt(13)*-3. 18*sqrt(13) + 133 Simplify (1*sqrt(7056)*1)/(2*(sqrt(252)/sqrt(4))/sqrt(9)). 6*sqrt(7) Simplify (-4 + ((sqrt(72) - (-3 + 2*sqrt(72) + sqrt(72)))*6 - (-5 + -2 + 1 + sqrt(72))))**2. -3120*sqrt(2) + 12568 Simplify (-5*-1*(sqrt(1331) + -1)*6)**2*2*-4. -9590400 + 158400*sqrt(11) Simplify ((1*sqrt(104) + sqrt(104) + sqrt(104))*4 - (-1*sqrt(104) + sqrt(104) - sqrt(104))*-6)/(sqrt(16)/sqrt(32) - (sqrt(128)*1 + sqrt(8))). -24*sqrt(13)/19 Simplify (sqrt(33)*-4*4)/(-5*sqrt(192)). 2*sqrt(11)/5 Simplify (3*(sqrt(175) + -1)*3 + 4)*-1. -45*sqrt(7) + 5 Simplify (6*(sqrt(20) - (sqrt(320) + sqrt(20)))/sqrt(4) - (sqrt(500) + sqrt(500) + 2 + -4))**2. -176*sqrt(5) + 9684 Simplify (2 + 0 + sqrt(245) + -1 + -5)**2*-4. -1044 + 224*sqrt(5) Simplify (-2*1*sqrt(204)*5)/(5*(sqrt(36) + sqrt(180)/sqrt(5))/sqrt(3)). -sqrt(17) Simplify ((sqrt(114)*2*6 + -3*(sqrt(114) - sqrt(114)*1))/(-6*sqrt(24)/sqrt(4)*2))**2. 19 Simplify (-3*sqrt(1584) + sqrt(11) + sqrt(11) + 3 + -3)*5. -170*sqrt(11) Simplify 0 + -5 + (sqrt(7)*-2)**2 + 1 + (sqrt(28)/sqrt(4))**2 - (6*sqrt(7)*-2 + 3 + 2). 26 + 12*sqrt(7) Simplify ((1*sqrt(66)*1)/(sqrt(6) + sqrt(36)/(sqrt(24)/sqrt(4)) - sqrt(6)) + (6*1*sqrt(11) - (0 + 1 + sqrt(11))))**2. -12*sqrt(11) + 397 Simplify (-4*(-2 + sqrt(90)/sqrt(2) - sqrt(45) - sqrt(2205)*1) + 2)**2. 1680*sqrt(5) + 35380 Simplify ((sqrt(204) - (-3*(sqrt(204)*-1 - sqrt(204)) - sqrt(204)))*-2)/(sqrt(1200)*-2*-3). 2*sqrt(17)/15 Simplify -2 + (-1 + 4 + sqrt(2057) + sqrt(2057) - (1 + sqrt(2057)*3))**2. -44*sqrt(17) + 2059 Simplify 1 + (sqrt(77) - 1*sqrt(77)*-3)/(sqrt(140)/sqrt(5)). 1 + 2*sqrt(11) Simplify (((sqrt(363)*-1*-2 + sqrt(363) + sqrt(363)*1 + -1 + sqrt(363))*-4 + 4)*3)**2. -31680*sqrt(3) + 1307376 Simplify 2*((sqrt(70) + (sqrt(70) - -2*sqrt(70)) + sqrt(70))*-3 - 1*(sqrt(70) - sqrt(70)*-1))/(sqrt(20)/sqrt(2)*-5 - sqrt(100)/(sqrt(20)/sqrt(2))). 17*sqrt(7)/3 Simplify ((-1*sqrt(270))/sqrt(9)*2)/((-1*sqrt(60) - sqrt(60))/sqrt(6) + sqrt(10) + sqrt(20)/sqrt(2)*-2). 2*sqrt(3)/3 Simplify (-4*sqrt(65)*2 + 4*(sqrt(65) - 1*sqrt(65)))/(sqrt(60)/(5*(sqrt(768) + sqrt(12)))). -360*sqrt(13) Simplify (-3*4*(1 + sqrt(1053))*-3 + -2)**2. 22032*sqrt(13) + 1365844 Simplify ((sqrt(2) + (3*(sqrt(2) + 0) - sqrt(2)) - -2*sqrt(288)) + (sqrt(288) - 2*sqrt(288))*-1)**2. 3042 Simplify 1 + -1*sqrt(504)/(sqrt(128)*6). -sqrt(7)/8 + 1 Simplify 5*(0 + (-1*sqrt(112))**2 + -1). 555 Simplify (-4 + (sqrt(252) - (sqrt(252) - (-1 + sqrt(252))*1) - (5*(sqrt(252) - (sqrt(252) - (sqrt(252) + 1 + sqrt(252)))) + sqrt(252))))**2 + 0. 1200*sqrt(7) + 25300 Simplify ((sqrt(288) + -2*sqrt(288)*2 + sqrt(288) + -1)*4)**2*-1. -18448 - 768*sqrt(2) Simplify (sqrt(60) - (sqrt(60) - 4*sqrt(6000)))/(-4*sqrt(192)). -5*sqrt(5)/2 Simplify 3*(sqrt(252) + 0) - ((sqrt(14)/sqrt(18))**2 + sqrt(7) + sqrt(28)/sqrt(4)*6). -7/9 + 11*sqrt(7) Simplify (3*-6*(sqrt(600)*3 - sqrt(600))/(3*sqrt(12)))**2. 7200 Simplify -1*((sqrt(112) + -1 + sqrt(112))**2 + -4 - (-3*sqrt(112) + -5)). -450 + 4*sqrt(7) Simplify (1*(sqrt(700) - (-3*sqrt(700) + -4 - sqrt(700)) - (-4 + sqrt(700) + 0 - sqrt(700)))*3)**2. 7200*sqrt(7) + 158076 Simplify ((-2 + (sqrt(405) + -1 + -5 - (2 + (sqrt(405) - (3 + sqrt(405))))))*-2)**2. -504*sqrt(5) + 1816 Simplify (-3 + 1*(2 + sqrt(1377) + -1)*6)**2. 324*sqrt(17) + 49581 Simplify (sqrt(416)/(sqrt(128)*1))/(sqrt(484) + (3*(sqrt(484) + sqrt(484) + (sqrt(484) - (sqrt(484) - (sqrt(484) + sqrt(484)*2 + sqrt(484))))) - sqrt(484))). sqrt(13)/792 Simplify 5 + (sqrt(1539) + 3 + sqrt(1539) + 3)**2 + sqrt(1539) + -1. 225*sqrt(19) + 6196 Simplify 3*(-4 + -1 + sqrt(1584) - (sqrt(1584)*1 + sqrt(1584) + -1)). -36*sqrt(11) - 12 Simplify -3*(sqrt(475) + -1) + 1 + sqrt(475) + 3 + 4. -10*sqrt(19) + 11 Simplify 1*-2*(sqrt(242) - (4 + (sqrt(242) - (sqrt(242) + 0))**2) - (-1 + sqrt(242)*1)**2). -66*sqrt(2) + 494 Simplify (-2*(sqrt(1700)*3 + 2 - (sqrt(1700) + 4*(sqrt(1700) + -1 + sqrt(1700)))))**2. -2880*sqrt(17) + 244944 Simplify (sqrt(130) + -1*-1*sqrt(130) + sqrt(130) - -6*sqrt(130)*-1)/(-2*sqrt(1440) - -1*sqrt(10)*-1). 3*sqrt(13)/25 Simplify (sqrt(343)*-2 - sqrt(7) - (1 + sqrt(700))) + (sqrt(63)*6 - sqrt(7))**2 + -4. -25*sqrt(7) + 2018 Simplify (sqrt(176) + (sqrt(176) - -1*(sqrt(176) + sqrt(176) + 2*sqrt(176))**2) - -1*(sqrt(176)*-1)**2) + 5*(sqrt(176) - 2*(-1 + sqrt(176))**2). 108*sqrt(11) + 1222 Simplify (3 + sqrt(704) + 2*(sqrt(704) - sqrt(704)*3))**2. -144*sqrt(11) + 6345 Simplify -5*(3*(sqrt(176) + 1) + sqrt(176) + sqrt(176) + (sqrt(176) + 3 + sqrt(176))*3)**2. -107200 - 5280*sqrt(11) Simplify ((-2 + -2 + sqrt(272)*3)*-2 + -2)*1. -24*sqrt(17) + 6 Simplify sqrt(52)/(sqrt(4) + -1*sqrt(400)) - sqrt(65)/(4*sqrt(125)). -29*sqrt(13)/180 Simplify (-5 + (4 + sqrt(1088) + 1*sqrt(1088) - ((sqrt(1088) - sqrt(1088)*2) + 5 + sqrt(1088) - sqrt(1088)))*-1)**2. 192*sqrt(17) + 9808 Simplify (((2*sqrt(88) + sqrt(88))*-2)/(-4*((sqrt(220)/sqrt(4))/sqrt(5) + sqrt(11))) + -3)**2. -9*sqrt(2) + 27/2 Simplify (((((sqrt(77) - ((sqrt(77)*-1*-1 - sqrt(77)) + sqrt(77))) + sqrt(77) - sqrt(77)) + sqrt(77))/sqrt(7))**2 - 2*(3 + (sqrt(11) - sqrt(11)*2)))*4. 20 + 8*sqrt(11) Simplify sqrt(80)*-1 + -5 - (sqrt(640) - sqrt(640)*-2)/sqrt(8). -16*sqrt(5) - 5 Simplify (6*(sqrt(1573) + 5*sqrt(1573)*1) - 6*(sqrt(1573) + 1 + sqrt(1573) + -5 - sqrt(1573)))**2. 15840*sqrt(13) + 1416276 Simplify 1 + (sqrt(9)/(sqrt(75) + sqrt(3)) + sqrt(3))**2 + sqrt(3) + (sqrt(81)/sqrt(3) - sqrt(6)/sqrt(2)*5)**2. sqrt(3) + 205/12 Simplify (sqrt(117) - (sqrt(117) + sqrt(117) + -6*((sqrt(117) - 3*sqrt(117)) + sqrt(117))))/(-2*sqrt(81) + sqrt(81)). 7*sqrt(13)/3 Simplify (-1*sqrt(119)*-3)/(-2*sqrt(7)*-6) - ((sqrt(153)*1*6)/((sqrt(18)*-1)/sqrt(2)))**2. -612 + sqrt(17)/4 Simplify (-4 + (2*(-1 + sqrt(1377)) - (-2 + (sqrt(1377) - (sqrt(1377) - (sqrt(1377) + 1))))))**2. -90*sqrt(17) + 1402 Simplify 6*((6*sqrt(143)*-1)/(-1*sqrt(396) + sqrt(11)))**2. 2808/25 Simplify 3 + 3*(sqrt(891) + -3 + 1)**2*-5. -13422 + 540*sqrt(11) Simplify 2 + (sqrt(288) - -1*sqrt(288)) + sqrt(4)/(sqrt(4)/(sqrt(8)/sqrt(4))) + 0. 2 + 25*sqrt(2) Simplify sqrt(5) + sqrt(720) + 0 + -3 + (sqrt(20)/sqrt(4))**2 + -1 + -6*sqrt(20)/sqrt(4). 1 + 7*sqrt(5) Simplify 4 + (sqrt(11) + ((1*sqrt(1100) - sqrt(1100)) + sqrt(1100))**2 - (sqrt(704)*-1)**2) + (5 + (sqrt(1100) - sqrt(1100)*-3)**2 - sqrt(1100)). -9*sqrt(11) + 18005 Simplify ((sqrt(152) + (sqrt(152)*-1 - sqrt(152) - sqrt(152)))*-2*-6)/(sqrt(56)/(sqrt(7)*-2) + sqrt(8) - sqrt(80)/(1*sqrt(10))). 48*sqrt(19) Simplify (5*(3 + (-1*sqrt(98))**2 + sqrt(98) - sqrt(98))*-4 + 2)*2. -4036 Simplify (6*(-4 + sqrt(17)))**2*-1 + ((sqrt(17) + -2 + sqrt(833))**2 - (-1*sqrt(17) + 2)). -98 + 257*sqrt(17) Simplify 5*(2*(sqrt(637) + -3 + sqrt(637))*-6)**2. -60480*sqrt(13) + 1841040 Simplify -1 + -4*((sqrt(88)/sqrt(8)*-6)**2 + ((4 + sqrt(11))*-5)**2). -4285 - 800*sqrt(11) Simplify (2 + (sqrt(25) + -2*sqrt(625) + sqrt(25))/(4*sqrt(5)*-1))**2. 8*sqrt(5) + 24 Simplify -1*((sqrt(891) - (1 + sqrt(891))*6)*-1)**2. -22311 - 540*sqrt(11) Simplify (sqrt(140)/(sqrt(35)/sqrt(5)))/(-2*sqrt(10)*-1)*-2. -sqrt(2) Simplify (-2*(-1 + sqrt(2) + sqrt(2)*-1) - (sqrt(8)*3 - sqrt(128)))**2. 8*sqrt(2) + 12 Simplify (5 + (sqrt(33) + (sqrt(33) - sqrt(396)/(sqrt(36)/sqrt(3)) - sqrt(33)))/(sqrt(108)/sqrt(4)))**2. 25 Simplify (1*(3 + sqrt(176)*-2 + -1 + (sqrt(176) - 2*sqrt(176)*-6)*-3))**2. -656*sqrt(11) + 295860 Simplify -3*((-5*(sqrt(119) + sqrt(119)*2 + sqrt(119)) + sqrt(119) + sqrt(119) - -2*sqrt(119)*5)/(2*(sqrt(7) + sqrt(14)/(sqrt(2)*-2))))**2. -3264 Simplify (0 + (sqrt(119)/(1*sqrt(7) + sqrt(7) - sqrt(7)) - (sqrt(68) + 1)))*-5. 5 + 5*sqrt(17) Simplify (sqrt(1584) - -2*(sqrt(1584) + -4)**2) + -3 + 4 + sqrt(1584) + 3. -168*sqrt(11) + 3204 Simplify ((2 + sqrt(1872)*2 - ((sqrt(1872) - sqrt(1872)*-1) + -3)) + (sqrt(1872)*1 + 5)*-6)**2. 3600*sqrt(13) + 68017 Simplify 1*(2*(sqrt(133) - sqrt(133)*2) + sqrt(133))/(sqrt(70)
{ "pile_set_name": "DM Mathematics" }
inutes are there between 12:03 PM and 9:33 PM? 570 How many minutes are there between 8:06 PM and 1:59 AM? 353 What is 690 minutes after 7:11 PM? 6:41 AM What is 123 minutes before 2:57 AM? 12:54 AM How many minutes are there between 2:04 PM and 9:14 PM? 430 What is 583 minutes after 11:52 AM? 9:35 PM How many minutes are there between 4:33 AM and 9:22 AM? 289 How many minutes are there between 1:32 PM and 3:14 PM? 102 How many minutes are there between 5:20 PM and 2:33 AM? 553 How many minutes are there between 10:04 AM and 12:28 PM? 144 What is 660 minutes after 6:56 PM? 5:56 AM How many minutes are there between 12:36 AM and 1:26 AM? 50 What is 376 minutes before 2:17 PM? 8:01 AM What is 51 minutes before 11:39 PM? 10:48 PM What is 457 minutes after 10:54 AM? 6:31 PM How many minutes are there between 12:21 PM and 8:37 PM? 496 What is 644 minutes after 7:59 AM? 6:43 PM What is 6 minutes before 8:26 AM? 8:20 AM What is 480 minutes before 7:06 AM? 11:06 PM What is 627 minutes before 10:36 AM? 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77 What is 171 minutes before 12:42 AM? 9:51 PM What is 244 minutes after 9:30 PM? 1:34 AM What is 652 minutes after 11:55 AM? 10:47 PM What is 539 minutes before 10:31 PM? 1:32 PM How many minutes are there between 10:43 PM and 3:46 AM? 303 What is 553 minutes after 1:35 AM? 10:48 AM What is 394 minutes before 8:27 PM? 1:53 PM What is 404 minutes after 7:58 AM? 2:42 PM What is 127 minutes before 1:42 AM? 11:35 PM How many minutes are there between 2:03 PM and 6:56 PM? 293 What is 530 minutes before 10:50 AM? 2:00 AM What is 493 minutes before 8:42 PM? 12:29 PM How many minutes are there between 12:55 PM and 6:22 PM? 327 How many minutes are there between 2:43 PM and 5:00 PM? 137 What is 195 minutes after 5:01 AM? 8:16 AM What is 454 minutes before 5:01 AM? 9:27 PM How many minutes are there between 9:17 PM and 4:50 AM? 453 What is 609 minutes after 6:42 PM? 4:51 AM How many minutes are there between 9:33 PM and 10:27 PM? 54 What is 88 minutes before 4:44 PM? 3:16 PM What is 657 minutes after 4:57 PM? 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{ "pile_set_name": "DM Mathematics" }
t is the value of 6 - -2 - 12 - (-3 + -1)? 0 -1 + -1 + (6 - 2) 2 Calculate 5 + -6 + -2 + 6. 3 8 - 4 - (14 - 7) - 0 -3 What is -78 - -82 - (9 - (1 + 0))? -4 -2 - (1 + 5 + -9) 1 Evaluate -1 + 1 + -5 - -5. 0 What is -2 + (-3 - -4) + -1 - -2? 0 Calculate 2 - (1 + 3 + 0). -2 14 + -10 + -1 - (1 - 5) 7 Calculate -1 - (5 + -6 + -4). 4 Calculate -2 - (0 + 4) - 1 - -2. -5 4 + 5 - 10 - -2 1 What is -7 + (-3 - -12) - 7? -5 What is the value of (-3 + 2 + -5 - -12) + -8? -2 What is the value of (-6 - -3) + 4 - -1 - -3? 5 What is -13 + (4 - -3 - -6)? 0 Calculate 6 + (-11 - (-9 - 3)). 7 What is 3 + (-1 - 3) + 5? 4 -6 - (-3 - 0 - (-5 + 5)) -3 What is the value of 19 + -18 + (0 - 4)? -3 What is the value of (-5 - -7) + 6 + -4? 4 3 - (4 - 0) - (8 + -7) -2 What is the value of (3 - -3) + -4 - 6? -4 Evaluate 11 + (-2 - (7 - (-6 - -7))). 3 What is the value of -5 + -3 + (-1 - -11)? 2 What is the value of (-1 + 6 - 1) + (-6 - -3)? 1 Evaluate -117 + 108 + 9 + -1. -1 Evaluate -6 - ((6 - 13) + -2) - -5. 8 What is the value of -7 + -2 - (25 + -30)? -4 Evaluate 5 + -1 + -4 - (3 - 4). 1 What is 1 - 4 - -2 - 0? -1 Evaluate 6 - (20 - 11 - 9). 6 Calculate (5 - 4) + (-5 - -2). -2 -8 + 2 + -4 - (2 - 3) -9 Calculate -1 - (-1 + -1) - 5. -4 Evaluate -6 + (-4 - (-7 + 5) - -2). -6 Calculate 4 + -7 - (-3 + 1 + -1). 0 What is the value of (-6 - -5 - -5) + -4? 0 Evaluate -2 + (1 + 3 + -2 - 3). -3 What is (-2 - 0) + -7 - -5? -4 Evaluate (2 - -4 - 0) + -3. 3 What is the value of -1 - (2 - (-5 + 12))? 4 Evaluate -8 + 7 + -3 + 6. 2 1 + (6 - 4) - 0 3 (-1 - (-6 - -4)) + -4 -3 Calculate -5 - 0 - (2 - 5) - 1. -3 What is -6 + (-3 - -4) - -4? -1 What is the value of -9 + 5 + (-1 - (8 + -14))? 1 What is the value of 5 - (1 + 3 + -4)? 5 Evaluate -9 - (-3 - ((3 - 4) + 2)). -5 Evaluate (1 - 2 - -1) + 5 + -3. 2 Evaluate 3 + 0 - (4 + 1). -2 Evaluate 5 - (-1 - (3 + -10)). -1 16 + -9 + -2 + 1 6 Evaluate 7 - (3 - (-7 - -7 - 2)). 2 (-9 + 6 - (2 + -1)) + 3 -1 5 + 4 + -3 - 2 4 Calculate -9 + 10 - -4 - 1. 4 -2 + 4 + -9 + 9 - -1 3 What is (7 + -14 - -9) + -8? -6 What is (8 - 0 - 1) + 3 + -10? 0 2 + 2 + 4 + -5 + -3 0 Calculate (3 - 4) + -1 - 0. -2 Evaluate 138 + -132 + (1 - (2 + 1)). 4 Calculate -10 - (-14 - 5) - (6 - 0). 3 What is (-8 - (8 - 7)) + 11? 2 Evaluate (1 - 7) + -35 + 34 + 15. 8 Calculate 5 + -2 - (4 + 1 + -2). 0 Evaluate -3 + -7 + (15 - 9). -4 Calculate 13 + (7 - 26) - (-1 - -3). -8 What is 6 + (3 - 6) + 4 + -5? 2 What is (1 - -3) + 1 - 5? 0 (9 - -9) + (5 - 14) 9 Calculate 2 - 2 - (21 + -24). 3 Evaluate 5 + -2 + 3 - (2 + -2). 6 Calculate 8 - (2 + 4 + -3). 5 -2 - (4 + -1 + -14 + 5) 4 7 - ((14 - 20) + 7 + 0) 6 What is -3 - -1 - (34 + -41)? 5 Calculate 4 - (2 + (-4 + 1 - -3)). 2 Evaluate -3 - (-5 + -5 + 15 + -4). -4 What is the value of (-12 - -33 - 15) + (0 - -1)? 7 Calculate (-8 + 6 - -2) + -11 + 3. -8 2 - (-3 + 9 - 3) -1 Evaluate 0 - (0 - -1 - -1). -2 32 - 36 - (-2 + -1) -1 -46 - -48 - (2 + (2 - 7)) 5 Evaluate -6 + 3 + 0 + 8. 5 Calculate 5 - (-11 - -10) - 5. 1 Evaluate -7 + 6 + 0 - (1 - 1). -1 What is the value of 161 - 163 - (1 + 4)? -7 Evaluate 8 - (10 + -7 + -4). 9 Calculate 1 + (-5 + 3 - (-1 - 0)). 0 -6 - ((-7 - -2) + -5) 4 What is the value of -2 - ((9 - 12) + 0 + 0)? 1 What is -3 + 3 + 3 + -1? 2 3 - (-3 + 5 + -2 + -2) 5 What is 1 + (-4 - -4) - 5 - 1? -5 1 + 4 + -6 + (-2 - -4) 1 Calculate (2 - 3 - -4) + (2 - 3). 2 Calculate 4 + -9 + 1 + 7 + 1. 4 Evaluate -3 + 8 - (0 - (1 + -4)). 2 Calculate -4 + 1 - -3 - (-1 + -1). 2 What is the value of (-45 - -54) + (-5 - 0)? 4 Evaluate 4 + -1 + -4 - 0. -1 What is (3 - (-5 + -2)) + -4 + -6? 0 What is the value of 5 + (-3 - -1) + -2 + -1? 0 Calculate -21 + 25 - (3 + 0 - 0). 1 -2 + (-3 - -3 - 1) -3 What is -8 + 0 + (-4 - -5) + 2? -5 What is the value of 20 - 2 - (-39 - -50)? 7 15 + -10 + (-1 - (1 + 0)) 3 Calculate 39 - 40 - (1 - 2 - 2). 2 7 + -6 - 4 - -16 - 7 6 Calculate 0 + 1 + 1 + 1 + -2. 1 Calculate (-1 - 1) + 1 - (8 - 5). -4 Evaluate -4 + (-2 - (-5 + 3)) + -1. -5 What is -2 + 2 - (-45 + 38)? 7 What is the value of -4 - (5 - (-3 - -12))? 0 Calculate -23 + 15 + 9 - (6 + 1). -6 What is the value of -5 + 5 - (6 + 0 + -2)? -4 What is the value of 4 + (3 - (4 - 5 - -9))? -1 Calculate 14 + -8 + (0 - 1). 5 Calculate 6 - -1 - (1 - -2) - 2. 2 What is 5 - 6 - -4 - 10? -7 1 - 1 - -1 - 3 - 3 -5 What is (-5 - -2) + (0 - -2 - -3)? 2 What is the value of (0 - 4 - -2) + -1 + 4? 1 Calculate (6 - -2) + 0 + (-4 - -1). 5 Evaluate (6 + -3 - 1) + -3 + -1. -2 Calculate (16 - (2 + 5)) + -8. 1 Calculate -5 + -10 + 5 + 14. 4 What is the value of 5 + (2 + -5 - (-1 + -5))? 8 Evaluate -2 + -1 + -2 + (-1 - -1). -5 What is 22 - (4 + 3) - (-1 - -8)? 8 Calculate -1 - (1 + -3 - (13 - 15)). -1 What is -3 + 3 - 0 - 4? -4 What is -1 - (3 + 5 + -6)? -3 What is 6 + -7 + (8 + -4 - -2)? 5 1 + 4 - (28 - 26) 3 -3 + 0 + -8 + 11 + -9 -9 What is (-19 + 6 - -5) + 6? -2 What is 3 + (56 - 62 - (-3 - 0))? 0 What is (-2 - 0 - 0) + -7 + 6? -3 What is -7 + 11 + -3 + -1 + 2? 2 (154 - 149) + 0 + -2 + 0 3 -9 + 4 + -10 - -6 -9 Evaluate -4 - -1 - (-11 - -26 - 11). -7 16 + (-16 - -18 - (-1 + 10)) 9 Calculate (3 + -1 - 2) + (1 - -2). 3 What is 6 + 11 + -6 + (-5 - -1)? 7 Evaluate 139 + -145 - (-4 - 1). -1 -3 - (-4 - -3) - -2 0 Evaluate (17 - 15) + -1 + 4 + 0. 5 Evaluate -1 + 6 - ((12 - 5) + 2). -4 0 + (6 + -1 - (-3 - -5)) 3 Evaluate 0 + 6 + (-2 - -17 - 16). 5 Calculate -3 - 8 - (-1 - 8 - -4). -6 Calculate (1 - -6) + -3 + 0 + 1. 5 1 - (-3 + 3) - (-5 - -3) 3 What is the value of 4 + -2 + -4 + 2? 0 What is 4 - (1 + (11 - 3))? -5 What is the value of -4 + 1 + 6 + -5? -2 -11 + (-5 - -10) - (-4 + -2) 0 What is 25 - 14 - (6 + -3 - -2)? 6 What is (-2 - 0) + -13 + 11 + 0? -4 What is 23 + -18 + 0 + -8 - -13? 10 (1 - 3) + 6 + -8 + 11 7 Evaluate 2 - 0 - (-19 + 19). 2 What is 11 - (2 + -1 + (-37 - -40))? 7 What is the value of 1 + 7 + (-21 - -13)? 0 What is (-3 - -7 - 2) + -9 + 3? -4 What is the value of 2 + -5 + (1 - (3 - 3))? -2 Calculate -16 + -1 + -3 + 11. -9 What is the value of 17 + -17 + -2 + 2? 0 Evaluate (3 - (-2 + 2) - 0) + -3. 0 What is (-3 + 1 - (6 + -5)) + 4? 1 Calculate (4 - 3 - 3) + 5. 3 Calculate 3 + -5 + 5 + 1. 4 Evaluate 42 - 42 - (1 - 5). 4 What is 4 - -5 - 7 - 5? -3 What is -1 - (-2 + 1) - (4 - 1)? -3 (5 - 7) + 1 + 0 -1 Calculate -7 - 1 - (0 + (1 - 6)). -3 0 - (12 - (2 - -4)) -6 What is the value of 0 + (1 - 0) + (-1 - 1)? -1 Evaluate 3 - (-1 + 3 - (2 - -3)). 6 Evaluate (3 - (-1 + 0)) + (2 - 3). 3 What is the value of 3 - (12 + -4 + 0)? -5 Calculate 1 - -2 - (0 + 1). 2 7 + (5 - (6 - 0)) 6 Evaluate 3 - (0 + 5 + -12 + 13). -3 5 - (-7 - (8 + -5 - 8)) 7 Evaluate -9 + 5 + 5 + 6. 7 Calculate -8 - (-19 + 12 + 1). -2 What is the value of 5 + 3 + (5 - 13 - -5)? 5 What is -5 - (1 - 12) - (3 - 3)? 6 Calculate (-3 - (-4 + 3)) + -1 + -1. -4 What is the value of 9 + -4 + (4 - 5) + -14? -10 What is the value of -5 + 3 + (1 - 2) - -2? -1 Calculate 5 + -1 + -1 + 4 + -5. 2 Evaluate 0 + -2 + 0 + -1 + 2. -1 Evaluate -1 - 2 - -7 - 0. 4 -24 + 17 - (-4 + -6) 3 What is 7 + (-7 - (-1 - 1)) + 8? 10 Evaluate 1 + (4 + 1 - 2). 4 What is the value of 0 + -6 - (-6 + 2 - -2)? -4 Evaluate 8 + (-3 - 5) + 4. 4 Evaluate 2 - 1 - 4 - 2. -5 Calculate 11 - 12 - (1 - -1) - 0. -3 What is -1 - -7 - 7 - 4? -5 Calculate -2 + 5 + -8 - -4. -1 -3 + 12 + (-3 - (0 - 2)) 8 6 + -4 - 6 - -3 - 6 -7 What is -1 + 6 - (1 - -8)? -4 What is -6 + (-6 - 0) + 8? -4 Evaluate -13 - (0 + (-24 - -7)). 4 What is 1 - (3 + 4 + 0 - 0)? -6 What is the value of 1 - ((5 - -1) + (0 - 0))? -5 What is 5 + 3 + 4 + -10? 2 What is -3 + 7 + (-1 - -1)? 4 Calculate (5 + 0 - 11) + (13 - 4). 3 What is -1 - (-1 + 0) - (14 - 13)? -1 4 - (4 - -2) - -7 - 1 4 Calculate 5 + -13 - (13 + -21). 0 What is 37 - 43 - (-1 + -2)? -3 -8 + 2 - ((-1 - -7) + -6) -6 Evaluate (3 - (4 + 4)) + (5 - 0). 0 Calculate 2 - (0 + (-2 - -6)). -2 Calculate -7 + 8 - (1 + -6). 6 Evaluate -30 - -30 - (0 + -1). 1 Evaluate 0 + 1 - -3 - (339 + -328). -7 What is 1 + 1 + 1 - (-17 + 22)? -2 What is 8 - (-2 + 2 + 4)? 4 What is -163 + 152 + (-1 - 1) + 5? -8 Evaluate -19 - -28 - (-1 + 9). 1 What is the value of 6 + -4 + 5 + -3 - 1? 3 What is -3 + 1 + (5 - -13 - 19)? -3 2 - (-5 + 1 + 7) -1 What is 0 + (1 - -1) + -1 + 1? 2 What is (-31 - -26) + 0 + 0 - -10? 5 -5 - (4 + -5 + -8) 4 Calculate 2 - (3 + 1 - 6). 4 6 - (-3 + (8 - 3)) 4 W
{ "pile_set_name": "DM Mathematics" }
**3 + 5*c**3)*(-c + 85 - 87 + 0*c). -2*c**4 - 4*c**3 Expand (4 - 2 - 3)*(3*w + 0*w - 7*w) - w + 0*w + 0*w + (-1 - 2 + 4)*(6*w - 4*w + 2*w). 7*w Expand 5*g - 2*g - 4*g + (-2 + 2 + 1)*(-6*g + 4*g + g) - 2*g - 1 + 1 + (-g - 4 + 4)*(1 + 0 + 2). -7*g Expand (n - 1 + 1)*(2*n**2 - 3 + 3) - n**2 + n**2 + n**3 + 8*n**3 + 3*n - n**2 - 31 + 31. 11*n**3 - n**2 + 3*n Expand -u**3 - 3*u**5 + u**3 + (2*u - 3*u - 3*u)*(4*u**4 - u**4 - 2*u**4) + 0*u**5 - 3*u**5 + u**5. -9*u**5 Expand 5 + 7*w**5 - 5 + (2*w**3 + 4*w**3 - 4*w**3)*(4*w**2 + w**2 - 3*w**2 + 2*w**2 + w**2 - 4*w**2 + (-2*w - 1 + 1)*(-2*w + 0*w + 3*w) + 1 - w**2 - 1). 3*w**5 Expand (5 + 6 - 1)*(-o + 4*o - 4*o)*(3*o**2 - 2*o**2 + 0*o**2). -10*o**3 Expand (-3*x**2 + 6*x**2 - 4*x**2 - x**3)*(-5 + 12 - 1). -6*x**3 - 6*x**2 Expand (-2*a + 1 - 1)*(0*a - 3*a + 5*a) + (-a - 5*a - a + (0 + 1 + 0)*(-3*a + a + 4*a))*(-2*a + a + 2*a). -9*a**2 Expand ((-1 - j**2 + 1)*(j - 1 + 1) - 4*j**3 - j**3 + 3*j**3 + j - j - j**3)*(2*j**2 - 7*j**2 + 18*j**2). -52*j**5 Expand (0*h + 3*h + 0*h)*(-9*h**2 + 4*h**2 - 3*h**2) + (-4*h**2 + 4*h**2 - 2*h**2)*(1 - 1 + h) + (3*h - 3*h + 2*h**2)*(0 + 0 - h). -28*h**3 Expand (-2*k**2 - 1 + 1)*(3*k**2 + k**2 + 2*k**2) + (0 - 3 + 0 - k)*(2*k**2 - 2*k**2 + k**3). -13*k**4 - 3*k**3 Expand (-5*o + 5*o - o)*(-o - 4 + 4). o**2 Expand 5*x - 3*x + x - 4*x + 4*x - x + 7*x - 7 + 7 + (-4 + 4 - 1)*(3*x - 2*x + x). 7*x Expand (6*x - 3*x - x)*(3 + 2 - 3)*(-2 - 4 + 4). -8*x Expand (-i - i + i)*((-2*i + 0 + 0)*(-1 + 0 + 3) + 64*i + 165 - 165)*(-2 + i + 2)*(5*i - 5*i - i). 60*i**4 Expand -4*y**2 + 3*y**2 + 2*y + 2*y**2 + (3 - 3 - y**2)*(2 - 1 + 1). -y**2 + 2*y Expand (v**3 - 2*v**3 + 4*v**3)*(3*v**2 - 3*v**2 - v**2). -3*v**5 Expand (-5*r + r + 2*r)*(-2 + 2*r**3 + 2) - 2*r**4 - 5*r**4 - r**4 - 3*r**4 + 2*r**4 + 5*r**4. -8*r**4 Expand (-2 + 0 + 1)*(r + 2*r - 5*r) - 3 + 3 + 2*r - 1 - 3*r + 1 + (-r - 1 + 1)*(-2 + 3 + 1) - r + 2*r - 2*r - r + 2*r - 2*r. -3*r Expand (3*o - 3*o - 3*o)*(-1 + 1 - o)*(-6*o + o - 9*o). -42*o**3 Expand 19*r - 103 + 52 + 50 + (1 - 1 - 1)*(-4*r + 2*r + 4*r). 17*r - 1 Expand -a + 1 - 1 - 3*a + 4*a - 3*a + 3*a - a - a - 2 - 2*a + 2 + 3*a + 3*a - 4*a + (-a - 2*a + 2*a)*(2 - 2 - 2) + 0*a + 4*a - 3*a. a Expand (-4*o**4 + o**4 + 0*o**4 + 2*o**4 + 0*o**3 + 0*o**3 + (0*o**2 + o**2 + 0*o**2)*(-4*o**2 + 5*o**2 + o**2))*(-8 + 3*o + 8). 3*o**5 Expand -3*x - x + 2*x + (3 - 2 - 3)*(0*x - 6*x + 4*x) + 0*x - x + 0*x + (3*x - 3*x + 3*x)*(2 + 1 - 2). 4*x Expand (-5*a**4 + 6*a**4 + 3*a**4)*(-5 + 0 + 1)*(2 + 0 - 3) + 0*a**4 - 3*a**4 + a**4. 14*a**4 Expand (1 + 1 - 3)*(3*v**2 + 2 - 2). -3*v**2 Expand 3*r**2 + 3*r**2 - 3*r**2 + (3*r - r - 3*r)*(2*r - 3*r + 2*r) + (-6*r + r + 3*r)*(r - 4*r + r). 6*r**2 Expand -19*n - 17*n + 7*n + n - 4*n + 2*n - 4 + 2*n + 4 - n + 0 + 0 + 3 - 3 + 2*n + (4 - 1 - 1)*(-1 + n + 1) + n + 3*n - 3*n + n - 3*n + 3*n. -23*n Expand (-4 - 2*s - 1 + 7)*(s**3 - s**3 - 2*s**4)*(4 - 4 - 2). -8*s**5 + 8*s**4 Expand (-4*u + 4*u - 2*u**2)*(4*u - 4*u - 2*u) + 0 + 6*u**3 + 0. 10*u**3 Expand (2*f - 5*f + 2 + 2*f)*(f**2 + f**2 - f**2). -f**3 + 2*f**2 Expand -s**2 + 1 - 1 - s**2 - s**2 + 3*s**2 + (-1 + s + 1)*(2*s + 1 - 1) + 6*s**2 + 5*s**2 - 3*s**2. 10*s**2 Expand (-x + 0*x + 2 + 0)*(-51*x**2 + 9*x**2 + 23*x**2). 19*x**3 - 38*x**2 Expand (l - 3*l - 3 + 4*l)*(2*l - 2*l + 2*l + 3). 4*l**2 - 9 Expand ((0*f + 0*f - 2*f**3)*(3 - 3 + 2) + 14*f**3 + 36*f**3 - 15*f**3 + 4*f - 2*f**3 - 4*f + (f + 0*f + 0*f)*(2*f**2 + 0*f**2 - f**2))*(-2*f - 2*f + f). -90*f**4 Expand (1 + 5 - 1)*(4 + d**2 - 4). 5*d**2 Expand (-3 + 3*z**3 + 3)*(0 - 1 + 0 + (0 + 3 + 3)*(-3 + 3 - 1)). -21*z**3 Expand (-4*c**3 + 3*c**3 + 2*c**3)*(-2 + 4*c**2 + 2) + (0 + 0 - 2*c**3)*(-4 - 3*c**2 + 4). 10*c**5 Expand (-a**2 + 6*a**2 - 2*a**2)*(a + 2*a - 2*a) + (0 + 3*a**2 + 0)*(2*a - 4*a + 0*a). -3*a**3 Expand -2*f**2 + 3*f**2 + f**2 + (-36*f + 404 - 404)*(1 - 3*f - 1). 110*f**2 Expand ((3 - 3 - 3*y)*(0 + 0 + 1) - 3*y - y + 5*y)*(2*y + 4*y - 4*y) + (2 + 0 + 0)*(-3 + 3 - 2*y**2). -8*y**2 Expand (3*q + q + 2*q)*(-1 + 1 + 3*q). 18*q**2 Expand (-9 + 6*l + 9)*(-1 + 13 + 1). 78*l Expand (0 + 0 - 1)*(-2*u - 2*u**3 + 2*u)*(u - 3*u + 4*u). 4*u**4 Expand (19 + 225*m - 19)*(2 - m - 2). -225*m**2 Expand (s**2 + 0*s**2 - 3*s**2)*(-1 - 1 + 1 + 0 - 1 + 0 + 0 + 0 + 1 + (4 - 5 - 2)*(0 - 1 - 1)). -10*s**2 Expand -n**2 + 2*n - 2*n + 1 - n**2 - 1 + n**2 + 2*n**2 - 2*n**2 + (-4*n - n + 3*n)*(0*n + n - 2*n). n**2 Expand 0*b**3 + 0*b**3 - 2*b**5 + (b**5 - b**5 + 2*b**5)*(128 - 57 - 53). 34*b**5 Expand (1 + 0 + 1)*(7*v - 2*v - 3*v)*(-7*v**2 - 2*v**2 + v**2) - 2*v**2 + v**3 + 2*v**2. -31*v**3 Expand t + 0*t + t + (2 + 0 - 4)*(-t - 4*t + 2*t) + t + 0 + 0. 9*t Expand (-285 + 285 + 4*j)*(0*j**4 + 0*j**4 + 2*j**4). 8*j**5 Expand (-a**3 + 3*a**3 - 3*a**3)*(-6*a + a + a)*(1 - 1 - 2)*(2*a - 2*a + a). -8*a**5 Expand (2*a - 3 + 3)*(19*a**4 + 251*a**3 - 251*a**3). 38*a**5 Expand (-3*m**2 + 2*m**2 - m**2)*(-6 + 3 + 0)*(8 + 0 + 5). 78*m**2 Expand (0*g - 5*g + g)*(3*g + 0*g + 0*g). -12*g**2 Expand (-1 + 8 + 1)*(0*z + 2*z + 0*z). 16*z Expand (-4 + 3 + 3)*(2 - 2*c - 2) + 4 + c - 4 + 0*c - 3*c + 2*c - 2 - 2*c + 2 - 3*c + 3*c - 2*c + 2 - 2 + c - 7*c - 3*c + 2*c - 2*c + 3*c + c. -13*c Expand (4 - 6 - 1)*(-2*h**2 + 0 + 0)*(3*h**3 + 6 - 6). 18*h**5 Expand (o + 0*o - 2*o)*(-1 - 1 - 2) - 2*o - o + 2*o + o - 2*o + 1 + 3. 2*o + 4 Expand (0*l - 17*l - 15*l)*(-3*l + l + 3*l). -32*l**2 Expand (0*r**2 + 0*r**2 + r**3)*(15*r - 12*r + 25*r). 28*r**4 Expand (1 - 5 + 3)*((1 - 1 + 2)*(-1 + 1 - 3*h) + 3*h - 2*h + 0*h)*(2*h**3 - h**3 + 0*h**3). 5*h**4 Expand (1 - 1 + 2*v)*(-16 + 34 - 13). 10*v Expand (2*x - 4 + 4)*(0*x - 3*x + 2*x) - 3 - 1586*x + 12*x**2 + 1586*x. 10*x**2 - 3 Expand (7*z - 2*z + 0*z)*(2*z + 3*z - 3*z). 10*z**2 Expand (-1 + 0 + 0)*(3 + 4 - 4)*(-c - c + 3*c). -3*c Expand 4 - 4 - 33*c + (4 + 0 - 2)*(c + 1 - 1). -31*c Expand (4 - 3 - 3)*(1 + 4 + 2)*(-j - 2*j + 0*j). 42*j Expand (-1 - 4*n + 1)*(0 - 1 + 2)*(2*n - 2*n - n**3) - 3*n**3 - n**4 + 3*n**3 + (3*n + n + n)*(-4*n**2 - n**3 + 4*n**2). -2*n**4 Expand -2*f + 2*f**4 + 2*f + (2*f - 2 + 2)*(0*f**3 + 0*f**3 - 2*f**3) + 3*f**4 - 2*f**4 + 0*f**4 - 3*f**4 - 3*f**4 + 4*f**4 + f**4 - 4*f**2 + 3*f + 4*f**2. -2*f**4 + 3*f Expand -5*g**4 - 2*g**3 - g + 2*g**2 - g**2 - g + (-4 + 4 - 2*g)*(2*g**3 + 2*g**3 - 5*g**3). -3*g**4 - 2*g**3 + g**2 - 2*g Expand (-4*f + 2*f + 3*f)*(0*f + f + 2*f) + 12*f**2 - 8*f**2 + 7*f**2. 14*f**2 Expand (2 - 8 + 2)*((5*s - 5*s + 2*s)*(-2*s**2 + 5*s**2 + 0*s**2) - 4*s**3 + 3*s**3 - s**3). -16*s**3 Expand (2*i**3 - 6*i**3 + 2*i**3)*(5*i**2 + 6*i**2 - 8*i**2) + i**4 + i**5 - i**4. -5*i**5 Expand (-9*y - 1 + 1)*(1 + 2 - 1 + (-1 + 0 + 3)*(0 + 4 - 2) + 1 - 2 + 0 - 4 - 3 + 6 + 5 - 4 + 1). -54*y Expand (-2*f**2 + 0*f**2 + 6*f**2)*(1 + 3*f**3 - 4 + 1). 12*f**5 - 8*f**2 Expand (5*j**2 + 56*j**2 + 0*j**2)*(-j**3 + 3*j**3 - j**3). 61*j**5 Expand 38*s**2 - 24*s**2 - 45*s**2 + (-1 - s + 1)*(3*s - 3*s + s) + 0*s**2 - s**2 - s**2. -34*s**2 Expand 3*y - 5*y - 2*y + y - y + y - 2*y + 1 - 1 + (-5*y + 2*y + 2*y)*(-5 + 4 + 0) - 6*y + 0*y + 4*y - y - 2*y + 2*y + 2*y + 3*y - 3*y. -5*y Expand ((-2 + 2 - 2*q)*(5 + 0 - 3) + q - 2*q + 0*q)*(-4 + 1 + 5)*(-24 + 12 + 17). -50*q Expand (-p - 2 + 2)*(4 + 1 - 6) + 3 - 3 - 2*p + 2*p + 1 - 1 + 24*p + 442 - 442. 25*p Expand 0 - 2*m + 0 + m + 4*m - 4*m + (-5 + 1 + 3)*(5*m + 8*m - 5*m). -9*m Expand (2*v**2 + 0*v**2 + 0*v**2)*(-3 + 4 + 1)*(-4 + 2*v + 4 + v - 3*v + 0*v + (-6*v + 2*v + 2*v)*(3 - 1 - 1) + 0*v + v - 2*v + v + 3*v - 2*v - 2 - v + 2). -8*v**3 Expand b**5 - 4*b**4 - 2*b**5 + 2*b**4 + (0*b + 0*b - b**2)*(8*b**2 - 6*b**3 - 8*b**2). 5*b**5 - 2*b**4 Expand s - 2*s**3 + 0*s**3 + 1 + 0*s**3 + (-4*s + 3*s + 2*s)*(4*s - 4*s + s**2) - s**3 - s**3 + 3*s**3 + 2*s**3 - 4*s**2 + 4*s**2 - 3*s**3 - 52*s + 52*s. -s**3 + s + 1 Expand (2*w - 2*w - 2*w - 4 + 4 + 6*w + 0*w - w + 0*w + (0 + 3 - 5)*(2*w - 2*w - w))*(4*w**2 - w**2 - 2*w**2). 5*w**3 Expand (-18*m + 3*m - 8*m)*(-3 + 2 - 1). 46*m Expand (-k + 2*k - 1 + k)*(4*k - 2*k - 4*k). -4*k**2 + 2*k Expand (-g + g + 3*g)*(3 - 4 - 1)*(0*g**2 - g**2 + 0*g**2). 6*g**3 Expand (3*u - u - 4*u)*(-5*u**3 + 2*u**3 + u**3 + 4*u + 5*u**3 - 4*u + (-2 + 2 - 3*u**2)*(u - 3*u + 4*u) + 1 - 1 - 2*u**3). 10*u**4 Expand (4*l + l - 3*l + (-16 + 15 - 23)*(-3*l + 2*l - 2*l))*(l**2 + 2*l**2 - 5
{ "pile_set_name": "DM Mathematics" }
-314, -146, 1 Let -i**2/3 + 70*i/3 + 2413 = 0. What is i? -57, 127 Find z, given that -2*z**2/15 + 161076*z/5 - 9729554166/5 = 0. 120807 What is i in i**2/3 + 12506*i/3 - 4169 = 0? -12507, 1 Let 3*a**2 + 1255536*a + 131364220608 = 0. What is a? -209256 Find i, given that i**3/8 - 755*i**2/8 + 1507*i/8 - 753/8 = 0. 1, 753 Determine p, given that -3*p**2 - 339162*p - 9585905187 = 0. -56527 Factor 2*z**2 - 39300*z - 78608. 2*(z - 19652)*(z + 2) Factor 2*c**2/3 - 67580*c/3 + 570882050/3. 2*(c - 16895)**2/3 Determine k, given that 4*k**2 - 16852*k = 0. 0, 4213 Find a, given that -2*a**5 + 3422*a**4 - 6838*a**3 + 3418*a**2 = 0. 0, 1, 1709 Let -s**5/2 + 9*s**4 - 46*s**3 + 44*s**2 + 192*s - 320 = 0. What is s? -2, 2, 4, 10 Let -3*g**3 + 1395*g**2 - 97200*g - 16402500 = 0. Calculate g. -75, 270 Suppose v**3/3 + 23*v**2/3 - 257*v/3 - 93 = 0. Calculate v. -31, -1, 9 Factor 3*c**2/8 + 2559*c/8 + 24969/2. 3*(c + 41)*(c + 812)/8 Factor 3*c**5 - 1623*c**4 + 247737*c**3 - 7371117*c**2. 3*c**2*(c - 251)**2*(c - 39) Let b**2/5 - 140*b - 13661/5 = 0. What is b? -19, 719 Find a, given that 5*a**2 + 45060*a + 101520180 = 0. -4506 Factor 3*c**4 + 270*c**3 + 8124*c**2 + 84402*c + 76545. 3*(c + 1)*(c + 27)**2*(c + 35) Solve 3*r**5/7 + 54*r**4/7 - 549*r**3/7 - 600*r**2/7 = 0. -25, -1, 0, 8 Solve 5*s**4 - 915*s**3 + 24075*s**2 + 1774595*s = 0 for s. -31, 0, 107 What is q in 169*q**2/6 + 1407042*q + 17571898134 = 0? -324702/13 Factor 2*d**2/5 + 117014*d/5 + 117012/5. 2*(d + 1)*(d + 58506)/5 Factor 4*s**3 + 16864*s**2 + 134720*s + 269312. 4*(s + 4)**2*(s + 4208) Suppose 21*k**3/5 - 441741*k**2/5 - 315546*k/5 + 126216/5 = 0. What is k? -1, 2/7, 21036 Factor -2*k**4/5 - 248*k**3 - 249884*k**2/5 - 3576408*k - 415930482/5. -2*(k + 57)**2*(k + 253)**2/5 What is y in -y**2/7 + 2836*y/7 - 405 = 0? 1, 2835 Let 5*c**2 - 804630*c + 32371471845 = 0. Calculate c. 80463 Factor 4*b**2/7 - 125116*b/7 + 978375841/7. (2*b - 31279)**2/7 Find g such that 2*g**2/5 - 636404*g/5 + 50626256402/5 = 0. 159101 What is u in u**3/5 - 4552*u**2 + 250249*u/5 - 45498 = 0? 1, 10, 22749 Find k, given that -3*k**2 + 4827900*k - 1942384867500 = 0. 804650 Solve d**3/4 - d**2/4 - 4*d + 4 = 0 for d. -4, 1, 4 Determine g, given that -12*g**3/5 - 10870696*g**2/5 - 2461913699856*g/5 + 1641280631328/5 = 0. -452946, 2/3 Determine m so that 4*m**4 + 1620*m**3 + 161408*m**2 - 564672*m - 6658560 = 0. -204, -5, 8 Suppose -6*n**5/11 - 2*n**4/11 + 384*n**3/11 - 1688*n**2/11 + 2592*n/11 - 1280/11 = 0. What is n? -10, 1, 2, 8/3, 4 Let -2*k**2/9 + 2266*k/3 = 0. What is k? 0, 3399 Determine w so that -2*w**2/5 + 434948*w/5 - 23647470338/5 = 0. 108737 Suppose 2*d**2/7 - 12604*d/7 + 3600 = 0. What is d? 2, 6300 Determine r, given that -2*r**2/7 - 4756*r/7 - 9504/7 = 0. -2376, -2 Determine i, given that i**4/3 + 282*i**3 + 112853*i**2/3 + 110884*i + 73548 = 0. -681, -162, -2, -1 Find k, given that -k**2/2 - 3143*k - 6284 = 0. -6284, -2 Let -5*a**4 + 1265*a**3 - 23720*a**2 + 97860*a = 0. Calculate a. 0, 6, 14, 233 Factor 25*v**5 + 420*v**4 + 320*v**3. 5*v**3*(v + 16)*(5*v + 4) Factor r**2/4 - 963*r/4 + 15345/2. (r - 930)*(r - 33)/4 Factor 2*l**3/5 + 554*l**2/5 + 744*l - 3240. 2*(l - 3)*(l + 10)*(l + 270)/5 Factor x**3 - 609*x**2 - 49173*x + 54360973. (x - 443)**2*(x + 277) Suppose 2*f**2 - 508*f - 9792 = 0. What is f? -18, 272 Let 5*d**2 + 632940*d + 20030652180 = 0. What is d? -63294 Factor 5*j**2 - 60940*j + 121860. 5*(j - 12186)*(j - 2) Factor 2*y**2 + 16198*y + 210236. 2*(y + 13)*(y + 8086) Determine h so that 3*h**3/10 - 3263*h**2/5 + 13043*h/10 - 652 = 0. 1, 6520/3 Find b, given that 5*b**4/6 - 5590*b**3/3 + 22325*b**2/6 + 5585*b = 0. -1, 0, 3, 2234 Find g such that -g**3/2 + 13*g**2 + 4267*g/2 + 2120 = 0. -53, -1, 80 Factor p**2 - 29602*p - 59208. (p - 29604)*(p + 2) Solve -2*v**5/13 - 1364*v**4/13 - 14798*v**3/13 - 23940*v**2/13 + 145368*v/13 + 289872/13 = 0. -671, -6, -2, 3 Factor 2*a**2/13 - 866*a/13 + 69324/13. 2*(a - 327)*(a - 106)/13 Factor 3*q**3 + 61971*q**2 + 371745*q + 557577. 3*(q + 3)**2*(q + 20651) Factor f**2/9 + 4580*f/9 - 36704/9. (f - 8)*(f + 4588)/9 Let b**2/2 + 1741*b/6 + 290/3 = 0. Calculate b. -580, -1/3 Determine y, given that -5*y**3 + 20*y**2 + 1185*y - 3600 = 0. -15, 3, 16 Suppose -3*q**2/5 + 42*q/5 - 24 = 0. Calculate q. 4, 10 Factor 2032*u**4 - 31560*u**3 + 123039*u**2 - 3844*u. u*(4*u - 31)**2*(127*u - 4) Factor -2*q**3 + 117220*q**2 - 1717917656*q + 10303286448. -2*(q - 29302)**2*(q - 6) Find c such that -c**3/3 + 6*c**2 + 136*c/3 + 64 = 0. -4, -2, 24 Determine r, given that 20*r**4 + 875*r**3 + 3850*r**2 + 5725*r + 2730 = 0. -39, -2, -7/4, -1 Solve -3*y**5 - 165*y**4 - 2586*y**3 - 16248*y**2 - 39936*y - 26112 = 0 for y. -34, -8, -4, -1 Find f, given that -15*f**3 - 27745*f**2 - 512585*f + 173945 = 0. -1831, -19, 1/3 Suppose 2*z**2/21 + 15080*z/7 = 0. Calculate z. -22620, 0 Let -530*t**5 - 21205*t**4 - 212200*t**3 - 2000*t**2 = 0. Calculate t. -20, -1/106, 0 Determine k so that -35*k**5/3 + 1361*k**4/3 + 65*k**3 - 1517*k**2/3 - 160*k/3 + 52 = 0. -1, -2/5, 2/7, 1, 39 Factor 14*n**3 + 848*n**2 - 8094*n + 3312. 2*(n - 8)*(n + 69)*(7*n - 3) Solve -4*i**5 - 308*i**4 + 1940*i**3 - 4268*i**2 + 3968*i - 1328 = 0. -83, 1, 2 Suppose -3*n**2/5 - 1494777*n/5 - 1494774/5 = 0. Calculate n. -498258, -1 Let -6*g**5 + 376*g**4 + 1704*g**3 + 2524*g**2 + 1470*g + 268 = 0. What is g? -2, -1, -1/3, 67 Factor 42*j**3 - 57*j**2 - 12*j + 27. 3*(j - 1)**2*(14*j + 9) Solve 428*z**2/7 + 708*z/7 + 40 = 0 for z. -1, -70/107 Let -4*h**4/9 + 80*h**3/3 + 8164*h**2/9 - 2800*h/3 = 0. What is h? -25, 0, 1, 84 Factor l**3 + 75*l**2 - 6604*l. l*(l - 52)*(l + 127) Factor -f**3/2 + 1192*f**2 + 21523*f/2 + 16751. -(f - 2393)*(f + 2)*(f + 7)/2 Find i, given that -4*i**5/9 - 1048*i**4/9 - 3076*i**3/9 + 8336*i**2/9 + 12368*i/9 - 16576/9 = 0. -259, -4, -2, 1, 2 What is g in g**2 - 27692*g + 27691 = 0? 1, 27691 Solve 2*z**4 - 3998*z**3 - 105300*z**2 = 0 for z. -26, 0, 2025 Find q, given that 2*q**2 + 1912*q + 66240 = 0. -920, -36 Let 4*k**3/5 + 1592*k**2/5 - 199604*k/5 - 201192/5 = 0. What is k? -498, -1, 101 Find t, given that -6*t**4/7 + 15438*t**3/7 - 77040*t**2/7 = 0. 0, 5, 2568 Factor s**3/7 + 1371*s**2/7 + 53640*s/7 + 532400/7. (s + 20)**2*(s + 1331)/7 Find q, given that -4*q**4 + 1423*q**3 - 5276*q**2 - 1408*q = 0. -1/4, 0, 4, 352 Determine g so that -2*g**2 - 9534*g - 19060 = 0. -4765, -2 Factor -106*c**2/19 - 862*c/19 - 1300/19. -2*(c + 2)*(53*c + 325)/19 Factor g**2/3 - 89*g/3 + 88/3. (g - 88)*(g - 1)/3 What is w in -5*w**2 + 6220*w + 217260 = 0? -34, 1278 What is y in 11*y**3/3 - 1196*y**2/3 + 30124*y/3 - 21280/3 = 0? 8/11, 38, 70 Factor k**2/6 + 31894*k/3 + 508613618/3. (k + 31894)**2/6 Solve 4*x**3 + 167252*x**2 + 1748410592*x + 1748243344 = 0. -20906, -1 Let -2*w**2 + 1813540*w - 411115916450 = 0. What is w? 453385 Factor -290986*a**3/3 - 1163938*a**2/3 - 1163920*a/3 + 8. -2*(a + 2)**2*(145493*a - 3)/3 Let 5*a**4/4 - 83*a**3/2 + 5*a**2 + 219*a/2 - 297/4 = 0. Calculate a. -9/5, 1, 33 Let -3*v**2 - 1045104*v + 3135339 = 0. Calculate v. -348371, 3 Factor -4*d**3 + 22712*d**2 + 90896*d + 90912. -4*(d - 5682)*(d + 2)**2 Find q such that 4*q**5 + 3*q**4 - 5*q**3 - 3*q**2 + q = 0. -1, 0, 1/4, 1 Solve -6*u**2/7 + 39622*u/7 + 13212 = 0 for u. -7/3, 6606 What is f in 4*f**5 + 7844*f**4 - 86588*f**3 + 354636*f**2 - 638712*f + 425952 = 0? -1972, 2, 3 Find g, given that -3*g**2 + 7935*g - 23778 = 0. 3, 2642 Find o, given that -2*o**3/17 + 5118*o**2/17 - 45928*o/17 + 4200 = 0. 2, 7, 2550 Factor -2*q**4/3 + 521662*q**3/3. -2*q**3*(q - 260831)/3 Let -465*a**5 - 154855*a**4 + 465390*a**3 + 8220*a**2 - 625000*a - 13440 = 0. What is a? -336, -1, -2/93, 2 Determine u, given that -2*u**3/9 - 644*u**2/9 + 5536*u/3 = 0. -346, 0, 24 Solve 3*c**4/5 - 252*c**3/5 + 1794*c**2/5 + 146916*c/5 + 1019667/5 = 0 for c. -11, 53 Find l, given that -3*l**2 + 1593*l + 3198 = 0. -2, 533 Factor 4*k**3 + 1736*k**2 - 3488*k. 4*k*(k - 2)*(k + 436) Suppose -3*h**2/4 + 1747443*h/2 - 1017852346083/4 = 0. Calculate h. 582481 Find t such that -3*t**4/4 - 1011*t**3/4 - 14571*t**2/4 - 26121*t/4 - 6279/2 = 0. -322, -13, -1 Factor x**2 - 249044*x + 15505728484. (x - 124522)**2 Determine z, given that z**4/2 + 445*z**3 + 218233*z**2/2 + 4496280*z + 51045408 = 0. -421,
{ "pile_set_name": "DM Mathematics" }
*x, o*u = x. Let g = -3 - u. Let c(t) = t - 2. What is c(g)? -4 Suppose 14 = 4*o + 6. Let a(s) = 3*s**o - s**3 - 2*s**2 + 2*s - 5 + 3*s**2. Calculate a(4). 3 Let l = 6 + 3. Let p = -5 + l. Let s(k) be the first derivative of k**4/4 - 4*k**3/3 - k**2/2 + 4*k - 2. Calculate s(p). 0 Let z be (24/20)/((-4)/(-20)). Let h(v) = 6*v**2 - 10*v + 13. Let t(f) = -7*f**2 + 11*f - 14. Let k(l) = 6*h(l) + 5*t(l). Give k(z). 14 Let s(z) be the second derivative of -z**3/6 + z**2 + z. Let v be s(0). Let x(u) = -4 + u + 3 - 3*u. Determine x(v). -5 Let f(h) = -5*h + 2. Let w(v) = 11*v - 3. Let r(z) = 5*f(z) + 2*w(z). Determine r(-4). 16 Let w(q) = 4*q**2 + 6*q + 3. Let y(g) = -g**2. Suppose 0 = -u - 2*p + 7, -2*u - 7*p + 18 = -2*p. Let k(f) = u*w(f) - 3*y(f). Determine k(-3). 6 Let t be ((-3)/6)/(2/(-12)). Let h be 10/6*t*-1. Let c(q) = -q + 1. Let x(d) = -3*d + 7. Let n(z) = 4*c(z) - x(z). Give n(h). 2 Let z(m) = -10*m**2 + 27*m - 5. Let d(i) = -7*i**2 + 18*i - 3. Let s(w) = -7*d(w) + 5*z(w). Calculate s(9). -4 Let f(d) be the first derivative of 1/60*d**5 + 0*d + 3 - 1/8*d**4 + d**3 + 0*d**2. Let p(i) be the third derivative of f(i). Give p(3). 3 Suppose -70 = 12*k - 17*k. Let n be 6/2 - (1 + 0). Suppose -v - v + 3*f = k, -n*f = -2*v - 10. Let z(r) = -4*r + 1. Calculate z(v). 5 Suppose -5*k = 4*y - 10 + 40, 18 = -2*y - 4*k. Let a(b) = -b**3 - 5*b**2 - b - 6. Give a(y). -1 Let u(x) be the third derivative of -x**5/60 + x**4/6 + x**3/6 - 7*x**2. Determine u(3). 4 Let h(r) = -13*r**2 + 32*r - 25. Let f(k) = 7*k**2 - 17*k + 13. Let s(n) = -11*f(n) - 6*h(n). Let m be -1 + 0 - (-12)/2. Calculate s(m). 7 Let q(v) = -v**2 + 6*v + 4. Let l = -24 - -31. Give q(l). -3 Let t(x) = x**3 - 4*x**2 - 4*x - 2. Let i = -127 - -131. Determine t(i). -18 Let g(j) be the second derivative of -j**4/12 - 2*j**3/3 + j. Let f(m) = 5*m + 2. Let t be f(-1). What is g(t)? 3 Let m(b) = -b - 1. Let a be ((-2)/(-4)*4)/1. Let g(k) = 0*k + 3*k + a*k + 13. Let c(p) = -g(p) - 6*m(p). Give c(4). -3 Let l(c) be the third derivative of 1/12*c**5 + 0 - c**2 + 0*c + 1/120*c**6 + 1/6*c**3 + 1/4*c**4. Let j = -8 - -4. Determine l(j). -7 Let n(j) = -j + 1. Let a be 15*(3/9)/1. Let z = a + -7. Let f be (-1 + z)/((-3)/2). Determine n(f). -1 Suppose 12 = -2*v - 5*i, i = -3 + 1. Let m(o) = -16*o**2 - 2*o - 1. Calculate m(v). -15 Let p(i) = i**3 - 3*i**2 + i. Let x be p(2). Let b(v) = 7*v**2 - 7*v - 8. Let t(j) = 6*j**2 - 6*j - 7. Let q(s) = -5*b(s) + 6*t(s). Calculate q(x). 4 Suppose 64 = 7*o + 8. Let n(w) = -w**3 + 7*w**2 + 9*w - 2. Determine n(o). 6 Let w(x) be the third derivative of x**4/24 - 7*x**3/6 - 17*x**2. What is w(10)? 3 Let w(a) = -2 + 2*a**3 - 1 - 3*a**2 - a**3 + 4*a. Let o be w(2). Let u(s) be the first derivative of 11*s**2/2 + s - 11. Calculate u(o). 12 Let z(x) = x**2 + 6*x + 6. Suppose 6*i = i + 30. Let g(a) = -a**3 - a**2 - 7*a - 7. Let s(b) = i*g(b) + 7*z(b). Determine s(1). -5 Let t = -6 - -7. Let x(n) = -n + 0*n + 0*n + t + 4*n. What is x(1)? 4 Suppose 0*z - d + 10 = z, -d - 5 = -2*z. Suppose 16 = z*f + 1. Let s(h) = h**3 - 3*h**2 + 2*h. What is s(f)? 6 Suppose 2*c - 2*u = -15 - 9, 0 = 5*c - 3*u + 50. Let s(w) = -w - 10. Determine s(c). -3 Let v(n) = n**3 - 6*n**2 + 5*n + 4. Suppose 4*g = 5*g + 9. Let s(k) = k**3 + 9*k**2 - k - 4. Let u be s(g). Determine v(u). 4 Let g(i) = -8*i - 11*i - 11*i - 5 + 31*i. Calculate g(6). 1 Let y(r) = 6 + 0 + 4 - r - 4. Give y(5). 1 Let o(q) be the first derivative of -q**4/4 - 2*q**3/3 + 3*q - 14. Determine o(-3). 12 Let y(g) = 4*g - 2. Let u(n) = -n + 1. Let j(f) = -3*u(f) - y(f). Let x(c) = -4*c**3 - 2*c**2 + 1. Let o be x(-1). What is j(o)? -4 Let d be (-66)/(-4) - 2/(-4). Suppose -5*f = -d + 7. Let g = f + 1. Let x(w) = w**3 - 3*w**2 - 2. Calculate x(g). -2 Let z(c) = 2*c**2 + 6*c + 2. Let x be 2 + -5 - (2 - 1). Let t be z(x). Let b(v) = v + 0*v + t + 4*v - 4*v. What is b(0)? 10 Let u(q) = q**2 + q + 3. Suppose -4*k - 8 = 2*c + 2, 2*c - 6 = 0. Let l be 3/(-4)*(-12 - k). Let a(m) = m - 6. Let b be a(l). Give u(b). 3 Let l(x) = -x**3 - x**2 - x - 5. Suppose 25*i = 30*i. What is l(i)? -5 Let b(x) be the first derivative of x**2 - 6*x - 4. Let l(j) = -j**2 + 7*j - 7. Let t be l(5). Suppose 5*n - 5*w = 35, 5*n - 18 = t*w + 11. Calculate b(n). 2 Let c(t) be the first derivative of -t**2/2 + 22. Calculate c(-6). 6 Let q(b) = -b**2 + 10 - 3*b - b**3 - 29 + 2*b. Suppose -7 = 5*i - 7. Calculate q(i). -19 Let z(b) = 1. Let a(u) = u**2 - 6*u + 6. Let c be a(4). Let k(o) = -o**3 - 2*o**2 + 3*o + 5. Let i(m) = c*z(m) + k(m). What is i(-3)? 3 Let s(d) be the third derivative of d**2 + d**3 + 0*d + 0 - 1/24*d**4. Determine s(4). 2 Let s(j) be the second derivative of j**4/12 + j**3 - 5*j**2/2 + 2*j. What is s(-6)? -5 Let l(m) = -m - 1. Let c(j) = 16*j + 5. Let p be (-12)/(-4)*-1 + 4. Let r(a) = p*c(a) + 6*l(a). Calculate r(1). 9 Let d(w) = 3*w + 3. Let b(a) = 9*a + 5. Let q be b(4). Let p = q - 26. Suppose -p = 4*x + x. Give d(x). -6 Suppose y + 4 = -4*m, -4*y - m + 22 = -4*m. Suppose 0 = -y*g + 13 + 7. Suppose -2*j = 3*j - g. Let z(a) = -5*a. Calculate z(j). -5 Let d(z) = 6*z - 8 - z - 4*z + 3*z. Give d(6). 16 Let z(r) = -r + 4. Suppose 27 = 4*g + 3. Determine z(g). -2 Suppose 3*g = 25 + 5. Let o(d) = d**3 - 9*d**2 - 8*d - 13. Determine o(g). 7 Let a = 132 - 130. Let n(v) = v**3 - 3*v**2 - 3*v + 1. Calculate n(a). -9 Let l = 0 - 3. Let c(k) = -6*k + 5. Let a(n) = -7*n + 4. Let h(v) = 4*a(v) - 3*c(v). Let u(w) = 7*w - 1. Let q(r) = -5*h(r) - 7*u(r). Give q(l). -1 Let i(x) be the first derivative of -x**4/4 - 5*x**3/3 - 2*x**2 - 2*x + 12. Determine i(-4). -2 Let u(h) = -3*h**3 - 3*h + 6. Let d(l) = 4*l**3 + l**2 + 4*l - 7. Let b(i) = -2*d(i) - 3*u(i). Determine b(3). 8 Suppose 2*b = -3*b - 20. Let r(w) = -w - 3. Let q be r(b). Let j(o) = -10*o**2 - 1. Calculate j(q). -11 Let g(i) = -i**2 + 3*i + 6. Let m = 9 - 5. Suppose -m*x = 7 - 27. Determine g(x). -4 Let v(d) = 3*d**2 + 13*d + 14. Let h(q) = 5*q**2 + 20*q + 21. Let b(z) = -5*h(z) + 8*v(z). Let f = 9 - 4. What is b(f)? 2 Let y(i) = -i - 2. Let w be y(2). Suppose -4 = -5*h + 1. Let b(o) = -o + 1. Let x(j) = -1. Let f(s) = h*b(s) + 5*x(s). What is f(w)? 0 Let u(d) be the first derivative of -d**2/2 + 12*d + 21. Give u(0). 12 Let w(p) = 64*p + 1 - 30*p - 32*p. Let f(h) = h**3 + 4*h**2 + 2*h - 1. Let r be f(-2). What is w(r)? 7 Let l be (-8)/(-16)*(-10)/1. Let r(i) = i**3 + 6*i**2 + 2*i - 3. Give r(l). 12 Let s(j) = -2*j + 2. Let g be (-20)/(-30)*3*2. Suppose 3*h + 4 = 4*w, -5*h + 24 - g = 0. Determine s(w). -6 Suppose 2*f - 6 = -0*f. Suppose 6*d - 12 = f*d. Let x(q) = -q**2 + 2*q + 5. Determine x(d). -3 Let v = 1 - 1. Let y(o) = -4 + o**2 + o + 0*o**3 + 4*o**3 - 5*o**3. What is y(v)? -4 Let g(i) be the first derivative of -i**4/24 + 2*i**3/3 - 3*i**2/2 - 3. Let v(k) be the second derivative of g(k). Let o be 2*1/(-2)*-4. What is v(o)? 0 Let v = -26 - -29. Let h(t) = 5*t. Determine h(v). 15 Let b = 1 + 4. Let x(p) = -p**2 + 8*p - 7. Calculate x(b). 8 Let z(i) = -2*i**3 - 2*i + 4*i**3 + 3*i**2 - 5*i**2. Let j = 42 - 40. What is z(j)? 4 Let t(u) = -2*u + 6. Let z be t(5). Let p be ((-55)/33)/(2/(-6)). Let o be z*p/(30/(-9)). Let m(h) = -h + 9. Give m(o). 3 Let b = -11 + 13. Let h = -6 - -4. Let j be 2/b*h + -1. Let p(c) = -4*c - 3. Calculate p(j). 9 Let k(q) = 4*q. Let c(g) = 8*g - 1. Let h(t) = -3*c(t) + 5*k(t). Let f = 3 + -2. Let s be (2/(-6))/(f/(-6)). Determine h(s). -5 Let w = -7 - -5. Let c be 0/((-1)/((-3)/6)). Let t be -2 - c - 3 - w. Let x(f) = -f + 1. Determine x(t). 4 Let l(b) = -b**2 - 6*b + 3. Let v be l(-6). Suppose -v*w + 4*w = 1. Let p(c) = -5*c**2 - 1. Determine p(w). -6 Let o be (-4)/10 + (-32)/(-30). Let d(i) be the second derivative of 0*i**2 + o*i**3 + i - 1/6*i**4 + 0. What is d(3)? -6 Let u be 1/(-1)*(3 + -9). Suppose g + 30 = u*g - 4*d, -4*g = -d - 24. Let n be g/(-24) - (-22)/(-8). Let c(i) = -i**3 - 3*i**2 - 3. What is c(n)? -3 Suppose 21 - 2 = y + 4*x, -x + 5 = 0. Let p = y + 4. Let w(l) = -p*l**3 - 5*l + 2*l**2 + 2*l**3 + 3*l**2. Determine w(4). -4 Let b = 9 - 5. Let h be (-4)/20 - (-22)/10. Let f(j) = -j + 4*j - h*j. What is f(b)? 4 Let m(t) = -3 + 13*t + 190*t**2 - 386*t**2 + 17 + 197*t**2. Calculate m(-12). 2 Let z = 2 + -2. Suppose 0 = -z*m + 2*m - 4. Let p(h) = 2*h - h + m*h. Giv
{ "pile_set_name": "DM Mathematics" }
= 54*t for t. -21 Solve 755 + 35 = 21*z - 197 for z. 47 Solve 302785*t + 34533 = 301506*t for t. -27 Solve -3860*i - 135269 = 3196*i - 2627*i + 223480 for i. -81 Solve -411884 = -5164*f - 4197*f for f. 44 Solve 3679*g + 4070 = 3789*g for g. 37 Solve 42*u - 1388 + 732 = 1360 for u. 48 Solve -377*j + 6437 - 6160 = -17442 for j. 47 Solve 464*w - 128*w + 440*w + 2133 = -9507 for w. -15 Solve 2791*q - 42880 + 36135 = 15000 + 112223 for q. 48 Solve -198*t + 3117 = 7717 + 15002 for t. -99 Solve -20320 = -1619*a + 39*a - 452*a for a. 10 Solve 937*r - 7193 - 49964 = 0 for r. 61 Solve 66*n - 2250 = -4692 for n. -37 Solve -86*p + 39*p - 1148 = -211*p for p. 7 Solve -1477 = -624*k - 766*k + 640 + 3443 for k. 4 Solve 8*n + 69 + 745 = 30*n for n. 37 Solve 2103099 = 1454*q + 2219419 for q. -80 Solve -2247*p + 48556 = -116*p + 150844 for p. -48 Solve 40*p = -5*p - 515 + 200 - 2655 for p. -66 Solve 215 - 327 = 10*c - 3*c for c. -16 Solve 46*t - 60*t - 524 + 20 = 0 for t. -36 Solve 302*c + 4611 = -721*c - 8688 for c. -13 Solve 420 - 4031 = 147*m + 5356 for m. -61 Solve 100*c + 76*c + 252*c = -70*c - 8466 for c. -17 Solve 563*c + 615*c - 1618*c - 18040 = 0 for c. -41 Solve -1897 = -1051*z - 3273 - 3811 - 2170 for z. -7 Solve 5900 = 198*q + 59*q - 4123 for q. 39 Solve 1632*d + 14814 = 1885 - 50719 for d. -39 Solve -6980*m + 7007*m + 405 = 0 for m. -15 Solve -97183 + 44575 - 375634 = -8300*n - 4942 for n. 51 Solve -4797*c - 36036 = -1521*c for c. -11 Solve -28356*g + 28227*g = 4386 for g. -34 Solve -28964 - 127769 - 164262 = -7465*q for q. 43 Solve -60*g + 58*g = -219*g - 175*g + 38024 for g. 97 Solve -3936*r + 199*r + 292*r + 71888 = -21127 for r. 27 Solve -4607*i + 214709 + 130816 = 0 for i. 75 Solve 26*p - 24*p - 1295 = 37*p for p. -37 Solve -3*i - 619 = -44*i - 2300 for i. -41 Solve 0 = -499563*p + 499850*p - 14063 for p. 49 Solve -382*u = 979*u + 146*u - 356*u - 17265 for u. 15 Solve -584*c - 1271*c = -1855 for c. 1 Solve -637933 = -3*m - 637906 for m. 9 Solve 12776 + 7567 = 408*y + 759 for y. 48 Solve -2364*m + 103557 + 49647 = 2142*m for m. 34 Solve 103*c - 87*c = 95*c + 140*c + 3285 for c. -15 Solve -3553 - 1992 = 131*h + 2839 for h. -64 Solve 482594*y + 10277 = 482355*y for y. -43 Solve -586 + 448 = -189*l - 705 for l. -3 Solve 22226 = -11091*q + 44 for q. -2 Solve 229*q + 15673 = 13033 - 8761 - 16766 for q. -123 Solve -6527*g - 772*g = 141281 + 99586 for g. -33 Solve 909336 = -99*d + 908940 for d. -4 Solve -14*r - 487 = 797 + 868 - 1760 for r. -28 Solve -1272468*n - 12597 + 3275 = -1272586*n for n. 79 Solve -34166*o + 34554*o = -49664 for o. -128 Solve -3230 = 113*y + 460*y + 4219 for y. -13 Solve -163*h - 137 - 3859 = -824*h + 5258 for h. 14 Solve 0 = 118*n - 485189 + 483065 for n. 18 Solve -172860 = 11181*z + 129027 for z. -27 Solve -18271*i + 16058*i + 77455 = 0 for i. 35 Solve -102*r = -79*r + 618*r + 28845 for r. -45 Solve 245318 = 88*t + 248926 for t. -41 Solve -17632 = -821*n + 517*n for n. 58 Solve 5241 - 122046 = 2995*x for x. -39 Solve 135480 = 795*u + 106860 for u. 36 Solve -5850*g - 723*g - 4219*g = -2542*g + 8250 for g. -1 Solve 884 + 921 = -68*p - 1323 for p. -46 Solve -186*p + 4236 = 330 for p. 21 Solve 398*j - 5025 - 674 + 3058 = 9697 for j. 31 Solve -34*t = 250*t - 5*t - 55*t - 13888 for t. 62 Solve -3*b = 66 + 43 - 16 for b. -31 Solve 133*r + 101*r + 5403 = 131*r + 1695 for r. -36 Solve -138*t - 578 = 2*t - 3518 for t. 21 Solve -5278*s - 15637*s - 522875 = 0 for s. -25 Solve 2477*h = 2505*h - 560 for h. 20 Solve 9685 + 31249 + 26383 = 1181*p for p. 57 Solve 8743*g + 22842 + 64588 = 0 for g. -10 Solve -4660*h - 19494 = -4299*h for h. -54 Solve 146*t - 20739 = -270*t + 8422 - 6697 for t. 54 Solve 2469 + 9269 - 3467 = -686*l - 19855 for l. -41 Solve -69*h = 395 + 582 + 2059 for h. -44 Solve -3067835*a = -3067883*a - 480 for a. -10 Solve -131*g - 3162*g = -260147 for g. 79 Solve 0 = -956*m + 1880*m + 85932 for m. -93 Solve -616 + 816 - 1375 = -2407*j + 1232 for j. 1 Solve 3493*g + 2607*g + 122914 = -273586 for g. -65 Solve 58058 = 91*p + 273*p + 390*p for p. 77 Solve -347*i - 2048 = -313 for i. -5 Solve 12*u - 6467 = -6551 for u. -7 Solve 2011 - 3668 = -183*q + 2669 + 615 for q. 27 Solve 0 = 526*z + 10709 + 15542 - 4710 - 4183 for z. -33 Solve 0 = 40*n + 43*n - 86*n + 27*n - 840 for n. 35 Solve -2302 - 1802 = -143*g + 1616 for g. 40 Solve -42445*q = -42948*q + 35210 for q. 70 Solve -22624*x - 3072 = -22528*x for x. -32 Solve 9872 - 19552 = -176*i for i. 55 Solve 5597*m + 5396*m + 366862 + 5782 + 286936 = 0 for m. -60 Solve -2962*q + 1286*q + 1203*q = 49192 for q. -104 Solve 1665 = -675*n - 8460 for n. -15 Solve -1658 = 575*l + 1217 for l. -5 Solve 373*z + 563*z = 342*z - 271*z - 71795 for z. -83 Solve 17501 = -338*l - 37*l - 32*l for l. -43 Solve 13800*g + 52109 - 159577 = 136045 - 36513 for g. 15 Solve -272*r - 50*r + 14688 = 110*r for r. 34 Solve -8715396*s + 420 = -8715424*s for s. -15 Solve -985*u + 614*u = -8904 for u. 24 Solve -97*d - 16*d + 14337 = 72*d - 8*d for d. 81 Solve 252 + 2772 = -107*p - 3300 - 6516 for p. -120 Solve 307*s + 2104 = 616 + 199 - 246 for s. -5 Solve 0 = 43*t + 74*t + 8*t - 599 - 651 for t. 10 Solve 138*q = -180 - 1756 + 4 for q. -14 Solve 61846*v - 62005*v + 8427 = 0 for v. 53 Solve 1101*d + 367*d - 820 = 9456 for d. 7 Solve -1294*k = -32222 - 5304 for k. 29 Solve 79984*h = 79861*h - 4059 for h. -33 Solve 15761 = 535*k + 1316 for k. 27 Solve 61996 = -116*c - 1293*c for c. -44 Solve -7871 + 15338 = 594*t + 26355 + 38136 for t. -96 Solve -242630 - 108318 = -14960*z + 77780 + 184632 for z. 41 Solve -40344 + 35424 = 246*t for t. -20 Solve 2385*f + 17055 - 33857 = 145378 for f. 68 Solve -88*k + 1334 + 1061 = -17 - 52 for k. 28 Solve -20775 = -532*b - 7720 + 32697 for b. 86 Solve -22101 + 17886 = 1405*f for f. -3 Solve 27*y - 208*y - 64703 = 236*y + 310*y for y. -89 Solve -207*n - 233*n - 8203 + 26683 = 0 for n. 42 Solve -227*x - 7984 = 75*x + 1076 for x. -30 Solve -268540 = 3650*c - 13965*c - 576162 - 424743 for c. -71 Solve 5420 - 21600 = 449*w - 2151 + 9768 for w. -53 Solve -373 - 1392 + 463 - 954 = -94*r for r. 24 Solve -7257*r - 7292*r + 21749*r = 7494*r - 25578 for r. 87 Solve -232*w + 76*w + 97*w = -94*w - 70 for w. -2 Solve 613*b - 8731 = 9837 + 5339 for b. 39 Solve -395*s - 107*s = 1191*s - 16470 - 460 for s. 10 Solve -1549 + 3166 = -77*f + 10*f + 3560 for f. 29 Solve -90*n - 4488 = -57*n + 171*n for n. -22 Solve -41*r = 8*r + 1121*r - 105300 for r. 90 Solve -6395 = 940*v + 1253*v + 29570 + 3509 for v. -18 Solve 0 = 2999593*t - 3000008*t - 44820 for t. -108 Solve 0*j = j - 8760 + 8749 for j. 11 Solve -5208 = 70*i + 76*i - 187*i + 165*i for i. -42 Solve -382*g - 1392 = -430*g for g. 29 Solve 123*o - 151*o = 50*o + 1014 for o. -13 Solve 65*g - 11937 + 17037 = -85*g for g. -34 Solve 6102*f - 1378*f + 22468 = 257805 + 15035 for f. 53 Solve -3472*m = -25683*m + 1310449 for m. 59 Solve -3190*r + 207350 = -210372 + 140192 for r. 87 Solve 2508*k - 2077*k - 8785 + 19741 = -11887 for k. -53 Solve -925 = -91*p + 492 - 871 for p. 6 Solve 45*c + 5428 = -25*c - 14*c - 8*c for c. -59 Solve -6492*z + 770 = -6877*z for z. -2 Solve -2705*c + 144843 = 63693 for c. 30 Solve 58362 + 46192 = -4428*k + 32888 - 202870 for k. -62 Solve 10556*r - 1560 = 10608*r for r. -30 Solve -228*z - 193*z = -178*z - 10692 for z. 44 Solve 262*s - 70*s = 32*s + 3040 for s. 19 Solve -220*r = 286*r - 206 + 2230 for r. -4 Solve 56*d - 45*d - 1898 = -62*d for d. 26 Solve 0 = -53*t + 767*t - 32844 for t. 46 Solve 1618*g + 141382 - 23268 = 0 for g. -73 Solve 0 = -120*a + 6919781 - 6908381 for a. 95 Solve 2011*t + 233*t - 29385 - 35359 = -1912 for t. 28 Solve -53*o - 11219 - 2970 = -355*o - 297 for o. 46 Solve -864*s - 2470 - 13946 = 0 for s. -19 Solve 360575*a + 32096 = 359572*a for a. -32 Solve 0 = -24007*c + 23700*c - 19955 for c. -65 Solve 98*d + 627 = -4*d - 1821 for d. -24 Solve -34445 - 8030 = 1230*j + 290*j - 2955 for j. -26 Solve 0 = 711*p - 694*p + 34 for p. -2 Solve 1151*z - 280 = 6626 for z. 6 Solve 0 = -3900*p - 101521 - 27179 for p. -33 Solve -42062*m + 42150*m - 2827 - 259 = 82 for m. 36 Solve -6634*i + 3169*i - 65835 = 0 for i. -19 Solve -448*f + 522*f + 94 = -4050 for f. -56 Solve -40*l + 80414 = 81094 for l. -17 Solve 766*q + 24824
{ "pile_set_name": "DM Mathematics" }
**6/120 + z**5/180 - z**2. What is l in m(l) = 0? -1, 0 Let v(f) be the third derivative of 2*f**7/45 - 8*f**6/45 - f**5/15 + 8*f**4/9 - 8*f**3/9 + 4*f**2. Find l, given that v(l) = 0. -1, 2/7, 1, 2 Suppose -3*t + 1 = -14. Let j = 9/38 + 183/190. Factor 4/5*s**2 + 2/5*s**t + 4/5*s**3 - 6/5*s - j*s**4 + 2/5. 2*(s - 1)**4*(s + 1)/5 Suppose 4*t - 2*i = 5 + 13, 3*i = 4*t - 23. Factor 1/5*v**t - 2/5 - 1/5*v. (v - 2)*(v + 1)/5 Let s = 3/109 + 321/218. Factor 0 + 0*d - 6*d**4 + 9/2*d**3 + s*d**2. -3*d**2*(d - 1)*(4*d + 1)/2 Suppose 0 = -l + 2*l - 6. Factor -5 - 4*m**3 - 5*m**3 - 3*m**2 + 5 + l*m. -3*m*(m + 1)*(3*m - 2) Factor -8/9*y + 8/9 - 2/3*y**2. -2*(y + 2)*(3*y - 2)/9 Suppose -2*p - 3*p = -5. Let q(u) = 6 - 8 + 3. Let r(s) = s**2 + s - 6. Let y(b) = p*r(b) + 4*q(b). Factor y(z). (z - 1)*(z + 2) Let j(m) be the first derivative of 2/25*m**5 + 4/5*m**2 + 2 + 2/5*m + 4/5*m**3 + 2/5*m**4. Solve j(i) = 0. -1 Let n be (-32)/(-40)*4/8. Find c, given that n - 4/5*c**3 + 2/5*c**5 + 2/5*c**4 - 4/5*c**2 + 2/5*c = 0. -1, 1 Solve 0*z + 0*z**2 - 1/10*z**5 + 0 - 1/5*z**4 - 1/10*z**3 = 0. -1, 0 Let b(i) be the third derivative of -1/20*i**5 - 1/120*i**6 - 4*i**2 + 1/12*i**3 + 1/224*i**8 + 1/84*i**7 + 0*i - 1/48*i**4 + 0. Let b(n) = 0. What is n? -1, 1/3, 1 Let u(n) be the second derivative of -n**6/165 - n**5/110 - 5*n. Let u(c) = 0. Calculate c. -1, 0 Let l(u) = 17*u**2 - 14*u - 9. Let c(j) = 50*j**2 - 43*j - 26. Let x(n) = -3*c(n) + 8*l(n). Solve x(i) = 0 for i. -2/7, 3/2 Let w(x) be the first derivative of 2*x + 2 + 1/3*x**2 + 1/45*x**6 - 1/9*x**4 + 0*x**3 + 0*x**5. Let y(p) be the first derivative of w(p). Factor y(o). 2*(o - 1)**2*(o + 1)**2/3 Suppose 0 = 6*r - 55 - 125. What is s in -54*s**3 - r*s**2 - 8/3 + 64/3*s = 0? -1, 2/9 Let x = 18 - 15. Let a(b) be the first derivative of 1 - b**2 - 8/7*b**x + 45/14*b**4 + 4/7*b. Suppose a(k) = 0. What is k? -2/5, 1/3 Let f(k) be the third derivative of 3*k**2 - 1/720*k**6 + 0*k**5 - 1/2016*k**8 + 0 + 0*k**4 + 0*k**3 + 0*k + 1/630*k**7. What is c in f(c) = 0? 0, 1 Let v(b) = b**3 + 9*b**2 + 7*b - 6. Let z be v(-8). Find f such that -f**2 - 3*f**z - f**3 - 2*f**5 + 7*f**3 = 0. -2, 0, 1 Suppose -4 - 16*g**3 - 16/3*g**4 - 68/3*g**2 - 2/3*g**5 - 46/3*g = 0. What is g? -3, -2, -1 Let z(r) = -4*r**3 - 12*r**2 - 24*r - 24. Let t(s) = -11*s**3 - 35*s**2 - 73*s - 73. Let c(h) = 3*t(h) - 8*z(h). Let c(f) = 0. What is f? -3 Let i(r) be the third derivative of 0 + 0*r**3 + 0*r + 1/30*r**5 + 0*r**6 - 1/105*r**7 + 0*r**4 - 2*r**2. Suppose i(w) = 0. Calculate w. -1, 0, 1 Let i = 435 - 3027/7. Let p = 1466 - 10240/7. Find t such that 4/7 - p*t**3 + 22/7*t + 2*t**2 - i*t**4 = 0. -1, -2/9, 1 Let d = -132 - -136. Let -2/9*r**5 - 4/9*r**d + 0 + 0*r**3 + 2/9*r + 4/9*r**2 = 0. Calculate r. -1, 0, 1 Let n(g) = -3*g - g + 2 + g**2 - 2*g. Let p be n(6). Factor c + 3*c**5 + 4*c**3 - 4*c**2 + 2*c**3 - 4*c**4 - p*c**5. c*(c - 1)**4 Let h(v) be the second derivative of 0*v**4 - 1/126*v**7 + 0 + 5*v - 1/30*v**6 - 1/30*v**5 + 0*v**3 + 0*v**2. What is c in h(c) = 0? -2, -1, 0 Let g(j) = 1. Let r(h) = -9*h**2 - 30*h - 4. Let v(y) = -5*g(y) + r(y). Determine b, given that v(b) = 0. -3, -1/3 Let p(v) be the second derivative of -7*v + 5/12*v**4 - 2/3*v**3 + 1/2*v**2 + 0 - 1/10*v**5. Let p(n) = 0. Calculate n. 1/2, 1 Let x = -160 - -1122/7. Find y, given that 0*y - x + 2/7*y**2 = 0. -1, 1 Suppose -3*z - 9 = -2*z. Let p = 3 + z. Let q(h) = -7*h**2 + 3*h + 15. Let a(u) = 2*u**2 - u - 4. Let n(i) = p*q(i) - 22*a(i). Factor n(v). -2*(v - 1)**2 Let l(n) be the second derivative of n**6/15 - n. Solve l(i) = 0. 0 Suppose -4*c = 4*o - 11 + 259, -o = -2*c - 118. Let a be 3 - (-1 + c/(-16)). Factor -3*n + 9*n**2 + a. (6*n - 1)**2/4 Suppose 4*g - 4 = 2*g. Let 4 + 0 + s + 2*s**2 - g + 3*s = 0. Calculate s. -1 Let k be 1/(-1 + 8/4). Let m = -3 - -3. Find x, given that 0*x**2 + k + x**2 + m*x**2 - 2*x = 0. 1 Find d such that 0 - 2*d**3 + 0*d + 2*d**4 - 2/3*d**5 + 2/3*d**2 = 0. 0, 1 Suppose -4*v = -7*v - 9. Let h = v + 4. Factor 0 + 3*f**2 + h - 4*f**2. -(f - 1)*(f + 1) Let s(o) be the third derivative of o**6/300 + o**5/150 - o**4/12 + o**3/5 + 15*o**2. Determine l, given that s(l) = 0. -3, 1 Let p(k) be the second derivative of 1/8*k**4 + 3*k + 0 + 1/8*k**2 + 1/120*k**6 - 1/6*k**3 - 1/20*k**5. Factor p(u). (u - 1)**4/4 Factor 1/5*o**2 + 2/5*o - 3/5. (o - 1)*(o + 3)/5 Let t(c) be the second derivative of -1/80*c**5 + 0 - 1/8*c**2 - 1/8*c**3 - c - 1/16*c**4. Factor t(y). -(y + 1)**3/4 Let l be (3/12)/((-2)/(-16)). Let u(a) be the first derivative of l + 0*a - 2/15*a**3 + 2/5*a**2. Find v, given that u(v) = 0. 0, 2 Let b be ((-22)/(-10))/((-4)/85). Let t = 47 + b. What is r in 0*r**2 - 1/4*r**4 + t + 1/2*r**3 - 1/2*r = 0? -1, 1 Let f(k) = -k**2 - 5*k. Let r be f(-4). Suppose 4*a = -r + 12. Find y, given that 6*y - a*y**2 + 2 - 6*y = 0. -1, 1 Let n(m) be the first derivative of m**3/9 + 4*m**2/3 + 16*m/3 + 4. Factor n(x). (x + 4)**2/3 Let z(p) be the first derivative of p**4/26 - 2*p**3/13 - 4*p**2/13 + 19. Determine q so that z(q) = 0. -1, 0, 4 What is u in -2/3*u**2 - 2/9 - 2/3*u - 2/9*u**3 = 0? -1 Let w(l) be the first derivative of 1/5*l + 1/20*l**4 + 3/10*l**2 + 3 + 1/5*l**3. Solve w(q) = 0. -1 Suppose 5*s = -8*s. Let q(i) be the second derivative of 0*i**4 - 3*i - 1/100*i**5 + 1/30*i**3 + 0*i**2 + s. Factor q(u). -u*(u - 1)*(u + 1)/5 Suppose 0*u - u + 7 = -3*a, -a - 13 = 5*u. Let b(s) = s**3 + 4*s**2 + 3*s + 1. Let l be b(a). Suppose l + 3*n**2 - n**3 - 5*n**3 + 5*n**3 - 3*n = 0. What is n? 1 Suppose o + 0*c - 3*c = -7, 2*c - 6 = 0. Let x(n) be the first derivative of -n + 2 - n**o - 1/3*n**3. Factor x(i). -(i + 1)**2 Suppose v**3 + 9 + 24*v + 2*v**3 + 15*v**2 - 3*v = 0. Calculate v. -3, -1 Let u(a) be the first derivative of 3/20*a**4 + 0*a**2 + 0*a - 2 + 0*a**3. Factor u(o). 3*o**3/5 Let r(w) be the first derivative of -w**4/10 + w**3/15 + 4*w**2/5 - 4*w/5 - 4. Solve r(u) = 0 for u. -2, 1/2, 2 Let u be (-7 + 1)/((-2)/3). Let j = u + -6. Factor -4*x**j + 3*x**3 + 0*x**5 + x**5. x**3*(x - 1)*(x + 1) Factor 0*k + 2/17 - 2/17*k**2. -2*(k - 1)*(k + 1)/17 Let f be (-1)/(-4) - 25809/(-108). Let l = f - 239. Factor -l*m**2 - 2/9*m + 0. -2*m*(m + 1)/9 Let j(s) be the third derivative of s**5/100 - s**4/4 + 5*s**3/2 - 16*s**2. Find c, given that j(c) = 0. 5 Let f(r) be the first derivative of r**5/30 - r**4/9 - r**3/9 + 2*r**2/3 + 4*r - 4. Let n(k) be the first derivative of f(k). Factor n(x). 2*(x - 2)*(x - 1)*(x + 1)/3 Let c be 172/2580 + 2/6. Factor 0 - c*l**2 + 0*l + 2/5*l**3. 2*l**2*(l - 1)/5 Let t(z) be the first derivative of -z**4 + 2*z**2 + 4/3*z**3 - 4/5*z**5 + 0*z - 1. Solve t(g) = 0. -1, 0, 1 Let l be (6/3 - 93) + 1. Let a = -64 - l. Find o, given that -a*o - 3*o**2 - 7*o**2 + 22*o = 0. -2/5, 0 Let u(b) = -4*b**2 + 2*b + 3. Let f(y) = 3*y**2 - 2*y - 2. Let d(c) = -3*f(c) - 2*u(c). Find n such that d(n) = 0. 0, 2 Let o(f) be the first derivative of -1 + 0*f**3 - 1/120*f**6 - 1/60*f**5 + 1/2*f**2 + 0*f + 0*f**4. Let a(l) be the second derivative of o(l). Factor a(p). -p**2*(p + 1) Let p(g) be the second derivative of g**6/180 - g**5/90 - g**4/18 + g**2/2 + 5*g. Let u(y) be the first derivative of p(y). Factor u(c). 2*c*(c - 2)*(c + 1)/3 Suppose -19 = -2*l - 7. Suppose 15 = -4*v + 39. Determine j, given that -v*j**3 + 14/3*j**4 + l*j - 4/3 - 10/3*j**2 = 0. -1, 2/7, 1 Let u(c) be the first derivative of 0*c**3 + 0*c**4 - 4/5*c**5 + 0*c - 4 + 0*c**2 + 1/3*c**6. Find k such that u(k) = 0. 0, 2 Let z(x) be the second derivative of -x**6/150 - x**5/100 + x**4/20 + x**3/30 - x**2/5 - 4*x. Factor z(h). -(h - 1)**2*(h + 1)*(h + 2)/5 Suppose -4*c = -7*c + 4*h - 2, 0 = -3*c - 4*h + 14. Factor 0*k**3 + 2*k**2 + 0*k**2 - c*k**3 + 0*k**3. -2*k**2*(k - 1) Let u(j) be the third derivative of j**9/181440 + j**8/10080 + j**7/1260 + j**6/270 - j**5/20 - j**2. Let n(v) be the third derivative of u(v). Factor n(d). (d + 2)**3/3 Let v(m) be the third derivative of m**10/604800 - m**8/80640 + m**5/20 + 2*m**2. Let h(y) be the third derivative of v(y). Suppose h(b) = 0. What is b? -1, 0, 1 Let f = 5 + -2. Factor 2*u - u**f + 3*u**3 - 2 - 5*u**3 + u**3 + 2*u**2. -2*(u - 1)**2*(u + 1) Let y(o) be the first derivative of 0*o**2 + 1/4*o**4 - 1/3*o**3 + 0*o + 3. Determine v so that
{ "pile_set_name": "DM Mathematics" }
(d) 1 (e) -0.1 a What is the third biggest value in 0.2, 0.4, -490? -490 What is the fourth smallest value in -5, -19, -0.3, 1? 1 What is the biggest value in 24, 5, 3, 0.3? 24 Which is the third smallest value? (a) -847 (b) 0.4 (c) 0 b Which is the second smallest value? (a) 0.4 (b) -0.4 (c) 6 (d) -9 b What is the biggest value in 4, 70, -27, -2? 70 What is the second smallest value in -115, -1/4, -2? -2 What is the fourth smallest value in -3/7, -2/11, -11/3, 0.3? 0.3 Which is the second smallest value? (a) 3 (b) 20/163 (c) 1/2 c What is the second smallest value in -0.2, -3, 59? -0.2 Which is the fourth biggest value? (a) -5 (b) -2 (c) 37 (d) 0.4 (e) 3 b What is the biggest value in 2/35, 0.5, 2, 4? 4 What is the smallest value in 0, -0.3, -249, -4/5, 3? -249 What is the second smallest value in -1337, 1/11, -2/21? -2/21 Which is the fourth biggest value? (a) -1/45 (b) -1 (c) 5/6 (d) -1/5 b What is the fourth smallest value in 4, 0.5, 3, 5, 9? 5 Which is the biggest value? (a) 2/9 (b) 1 (c) 61 c What is the third biggest value in 64, -5, 0.2? -5 Which is the fourth smallest value? (a) -4 (b) 2/3 (c) 0.3 (d) -3 b Which is the second smallest value? (a) 2/7 (b) -5/4 (c) -13/8 (d) -2/9 (e) 2/11 b What is the biggest value in -1/4, 18, -4, -79? 18 What is the smallest value in -5, 0, 1/8? -5 What is the second smallest value in -12, -25, 0.03? -12 Which is the third smallest value? (a) 1/6 (b) -2/11 (c) 2/19 (d) 14 a What is the third smallest value in -0.4, -23, -0.5, -0.09? -0.4 Which is the biggest value? (a) 38457 (b) 3 (c) 1 a What is the smallest value in 5, -7, -8, -2? -8 What is the smallest value in 0, 3, 5.28? 0 Which is the third biggest value? (a) 46 (b) -2/3 (c) 4/5 (d) -6 (e) -0.1 e Which is the smallest value? (a) 2/17 (b) 14/29 (c) 20 a Which is the third smallest value? (a) 2 (b) -2/11 (c) -2 (d) -4 b What is the fourth smallest value in -0.5, 0.12, -0.3, -4/5, 4/11? 0.12 What is the smallest value in 1/2, -0.03, -1/132, -4? -4 Which is the biggest value? (a) -1 (b) -1/3 (c) -0.86 b Which is the third biggest value? (a) -3/2 (b) -57.51 (c) -3/4 b Which is the smallest value? (a) -3 (b) 1/10 (c) 42 a Which is the second smallest value? (a) 1 (b) 2/11 (c) -1/28 (d) -2 c What is the biggest value in -48, -0.2, 1/4? 1/4 What is the third biggest value in -1/75, -0.3, -2/11? -0.3 Which is the fourth smallest value? (a) -2 (b) -5/6 (c) -1.41 (d) -5 b What is the third smallest value in 0.09, 2/5, -0.5? 2/5 What is the smallest value in -2, -5, -2/137? -5 Which is the smallest value? (a) 0 (b) 3.1 (c) 9 a What is the second biggest value in 0, 0.2, -9/5? 0 Which is the third smallest value? (a) 9 (b) -0.3 (c) -5/2 a What is the second biggest value in -0.2, -0.08, -5? -0.2 What is the third smallest value in 2/3, -5/2, 2/17, 5? 2/3 What is the third smallest value in -3, 26, 2? 26 Which is the fifth biggest value? (a) 2 (b) -1/2 (c) -1 (d) 2/7 (e) 15 c What is the third biggest value in 7, -56, 2/9? -56 Which is the fourth smallest value? (a) 5 (b) 2 (c) 3/4 (d) -16 (e) 1 b Which is the fifth biggest value? (a) 2 (b) -0.174 (c) -2 (d) -2/9 (e) 5 c What is the smallest value in -2, 23, -1, 2/21? -2 What is the biggest value in -1/6, -5, 85? 85 Which is the biggest value? (a) 132 (b) -0.2 (c) 0.5 a Which is the second smallest value? (a) 6/47 (b) 2/3 (c) -0.2 a Which is the fourth biggest value? (a) 0.3 (b) 6 (c) 22/3 (d) 0.5 (e) 5 d What is the biggest value in 10.1, -0.3, 4, -0.1? 10.1 What is the second biggest value in -4, 0.4, 8, -6? 0.4 Which is the third smallest value? (a) 2/5 (b) 3 (c) 4 (d) -939 b Which is the third smallest value? (a) -2 (b) -2/15 (c) -3 (d) 1.8 b What is the fourth biggest value in -1/2, 4, -58, -0.2? -58 Which is the fifth biggest value? (a) 0.4 (b) 0.2 (c) 4/39 (d) 2/15 (e) 2/9 c Which is the third biggest value? (a) -0.1 (b) 3 (c) -0.06 (d) -12 (e) 0.4 c What is the third biggest value in 0, 4, 2/3, 92? 2/3 Which is the third smallest value? (a) 5.7 (b) -5 (c) 4 a Which is the second smallest value? (a) 0.2 (b) 0.4 (c) -991 a Which is the second smallest value? (a) -10 (b) 80 (c) -0.1 c What is the fourth smallest value in -2/9, 1, 3, -1/2, -6? 1 What is the smallest value in -1/4, -15.6, 5? -15.6 What is the third biggest value in -0.5, 0.5, 1/4, 1.33, -3/7? 1/4 What is the smallest value in -1, -0.1, 0.1, 6, 3.8? -1 Which is the second biggest value? (a) -0.22 (b) -3 (c) -2/3 c What is the smallest value in -47, 3, 2/17, -6/7? -47 What is the second biggest value in -23, 5, -2/3, -0.3? -0.3 What is the biggest value in 2/7, -3, -4, -4/79? 2/7 What is the smallest value in 0.4, 2/7, -2092? -2092 What is the smallest value in -1/8, 5, -254? -254 Which is the second biggest value? (a) -1/2 (b) -109 (c) -9 (d) -4 d Which is the biggest value? (a) -0.03 (b) -5 (c) 523 (d) -0.5 c Which is the biggest value? (a) 5 (b) -0.5 (c) -3 (d) -0.3 a What is the second biggest value in -0.3, -1/13, -3? -0.3 Which is the smallest value? (a) -4 (b) 3 (c) 1/3 a What is the third biggest value in 1/5, -2, 113/7? -2 Which is the second smallest value? (a) 1 (b) 0.23 (c) -3 (d) 1/7 d What is the third biggest value in -12, -0.1, 2/25, -4/7? -4/7 What is the fourth smallest value in -3/8, -4, 1, -7/25? 1 What is the second smallest value in 0.07, -7, 0, -2/7, -21? -7 Which is the second biggest value? (a) -4 (b) 0 (c) 13 (d) 0.19 d What is the third smallest value in -5, 0.5, 0.2, -4? 0.2 Which is the second smallest value? (a) -0.5 (b) 1 (c) -1.23 (d) 0.08 a Which is the smallest value? (a) 433 (b) -0.1 (c) -4 c What is the third smallest value in 5, -4, 0.3, -24, -2? -2 What is the second biggest value in 4, -2/5, -4, 2.1? 2.1 Which is the third smallest value? (a) 3 (b) 2 (c) -1 (d) -3/19 b Which is the third biggest value? (a) -2/21 (b) 7 (c) -1.2 c What is the smallest value in 0.1, -4, 0.056, -1? -4 What is the third biggest value in 4/7, 0.5, 2.7? 0.5 What is the third biggest value in 3, -0.6, 0.3, 4? 0.3 What is the biggest value in -3/2, -0.11, -2, 1.7? 1.7 What is the third smallest value in -7/4, -1/3, -3, 0.5, 19/4? -1/3 Which is the third biggest value? (a) 51/5 (b) -0.6 (c) 0.3 b Which is the third smallest value? (a) 3/2 (b) 0 (c) -0.5 (d) -3 (e) -5 c Which is the third biggest value? (a) -4 (b) -2 (c) -0.12 (d) 1/2 (e) 2/13 c Which is the smallest value? (a) -2.2 (b) -77/6 (c) 4 b What is the second smallest value in -0.4, -4, 10/11, -5, -0.2? -4 What is the smallest value in -2/5, -0.2, 0.4, -0.1? -2/5 What is the biggest value in -1, 3/5, 1, -7, 2? 2 Which is the biggest value? (a) -1/5 (b) 1/8 (c) 6 (d) -2 c Which is the third smallest value? (a) 11 (b) -31 (c) -0.5 a Which is the smallest value? (a) -4.149 (b) 3 (c) 2/13 a What is the smallest value in 2/3, 20/7, 0? 0 Which is the smallest value? (a) -3 (b) -1 (c) 2714 a Which is the third biggest value? (a) -16/7 (b) 0 (c) 5 (d) -3 (e) -5 a Which is the fourth smallest value? (a) -4/5 (b) -1/5 (c) -3/4 (d) 2 d What is the second smallest value in -0.4, 2, -0.6, -8? -0.6 What is the second biggest value in 0.071, 0.06, 0? 0.06 Which is the second biggest value? (a) -2/23 (b) -3 (c) -2/3 c Which is the third biggest value? (a) -1/4 (b) 1758 (c) -0.5 (d) -2 c Which is the third biggest value? (a) 2/11 (b) -14 (c) 4/9 b What is the fifth smallest value in -2/43, 1, -0.11, 1/2, 0.1? 1 Which is the smallest value? (a) -2 (b) -4 (c) -20 c What is the second biggest value in -1/4, 2, -0.178? -0.178 Which is the biggest value? (a) 0.3 (b) 15.6 (c) 0.1 b What is the second smallest value in -2/15, 13/5, 3? 13/5 What is the biggest value in -1/7, 1/4, -74/7? 1/4 What is the smallest value in 11, 5, 1? 1 Which is the third biggest value? (a) 3 (b) -4 (c) -0.004 (d) -1/5 (e) 1/5 c Which is the biggest value? (a) -0.2 (b) -8 (c) -1 a What is the fourth biggest value in 3, -0.41, 1, 1.8? -0.41 What is the second smallest value in 0.3, 3/2, -2/3, -1/5, -27? -2/3 Which is the third biggest value? (a) -3/4 (b) -0.5 (c) 2/3 (d) 0.045 (e)
{ "pile_set_name": "DM Mathematics" }
7, 1 Factor a**2/3 + 5*a/3 - 14/3. (a - 2)*(a + 7)/3 Determine k so that 64*k**4 - 2720*k**3/3 + 4356*k**2 - 7812*k + 3528 = 0. 2/3, 3, 21/4 Factor h**3/5 + 401*h**2 - h/5 - 401. (h - 1)*(h + 1)*(h + 2005)/5 Factor -u**3 - 9*u**2 - 15*u - 7. -(u + 1)**2*(u + 7) Determine m so that -155*m**2/6 + 617*m/6 + 2 = 0. -3/155, 4 Let -2*u**5 - 12*u**4 - 17*u**3/2 + 17*u**2/2 + 9*u/2 - 5/2 = 0. Calculate u. -5, -1, 1/2 Solve 3*u**4/7 + 15*u**3/7 - 51*u**2/7 - 9*u = 0. -7, -1, 0, 3 Factor 2*h**3/9 - 3314*h**2/3 + 5491298*h/3 - 9099080786/9. 2*(h - 1657)**3/9 Factor z**2/2 + 128*z + 8192. (z + 128)**2/2 Factor l**5 - 5141*l**4 + 8808246*l**3 - 5026568956*l**2 - 5035382344*l. l*(l - 1714)**3*(l + 1) Find b such that 363*b**3 - 132*b**2 + 12*b = 0. 0, 2/11 Solve 3*x**3 - 21*x**2 - 51*x - 27 = 0 for x. -1, 9 Suppose -3*p**4 + 129*p**3 + 3*p**2 - 129*p = 0. Calculate p. -1, 0, 1, 43 Factor -q**2/9 + 404*q/9 - 40804/9. -(q - 202)**2/9 Suppose -g**2/4 - 7*g/4 + 2 = 0. What is g? -8, 1 Factor -c**3 - 47*c**2 - 91*c - 45. -(c + 1)**2*(c + 45) Find s such that 3*s**3/5 + 798*s**2/5 - 819*s/5 - 4806/5 = 0. -267, -2, 3 Factor -d**3 - 16*d**2 - 29*d - 14. -(d + 1)**2*(d + 14) Determine b so that -b**2/3 - 28*b/3 - 196/3 = 0. -14 Factor 2*h**4/11 + 10*h**3 - 228*h**2/11. 2*h**2*(h - 2)*(h + 57)/11 Suppose m**5 - 19*m**4 - 46*m**3 + 82*m**2 + 45*m - 63 = 0. Calculate m. -3, -1, 1, 21 What is j in -j**5/6 - 41*j**4/3 - 250*j**3 + 3913*j**2/3 + 9245*j/6 = 0? -43, -1, 0, 5 Factor j**3/2 - 33*j**2 + 726*j - 5324. (j - 22)**3/2 Find t, given that 2*t**5/11 + 20*t**4/11 - 28*t**3/11 - 64*t**2/11 + 26*t/11 + 4 = 0. -11, -1, 1, 2 Suppose 17161*a**3 + 137550*a**2 + 2097*a + 8 = 0. Calculate a. -8, -1/131 Factor 2*y**3 - 46*y**2/5 + 8*y + 24/5. 2*(y - 3)*(y - 2)*(5*y + 2)/5 Determine m so that -2000*m**4/3 + 10600*m**3/3 - 1020*m**2 + 302*m/3 - 10/3 = 0. 1/10, 5 Find f such that -f**4/4 - 741*f**3/4 - 2217*f**2/4 - 2215*f/4 - 369/2 = 0. -738, -1 Factor 4*d**4 - 304*d**3 - 1604*d**2 - 1296*d. 4*d*(d - 81)*(d + 1)*(d + 4) Determine t so that -2*t**5 + 3034*t**4/7 - 23198*t**3 - 219082*t**2/7 + 283400*t/7 + 95048/7 = 0. -2, -2/7, 1, 109 Suppose 3*u**3 + 21*u**2 - 1176*u + 1152 = 0. Calculate u. -24, 1, 16 Factor -5*m**2 + 25*m + 6630. -5*(m - 39)*(m + 34) Find c such that -c**2 - 126*c + 127 = 0. -127, 1 Suppose n**3/4 - 4*n**2 + 45*n/4 + 81/2 = 0. Calculate n. -2, 9 Factor -g**3/4 - 11*g**2/2 - 141*g/4 - 63. -(g + 3)*(g + 7)*(g + 12)/4 Factor -4*u**4 - 12*u**3 + 92*u**2 - 132*u + 56. -4*(u - 2)*(u - 1)**2*(u + 7) Solve -2*w**5 - 438*w**4 - 23760*w**3 + 24200*w**2 = 0 for w. -110, 0, 1 Suppose -4*p**5 - 36*p**4 - 104*p**3 - 80*p**2 + 96*p + 128 = 0. What is p? -4, -2, 1 Factor -2*h**2/5 + 232*h - 33640. -2*(h - 290)**2/5 Determine y, given that -4*y**3 - 20*y**2/3 + 32*y/3 = 0. -8/3, 0, 1 Find t, given that 12*t**3 + 201*t**2 - 51*t = 0. -17, 0, 1/4 Determine z so that 4*z**2 - 3944*z = 0. 0, 986 Factor 2*r**4/3 - 20*r**3/3 + 18*r**2 - 12*r. 2*r*(r - 6)*(r - 3)*(r - 1)/3 Suppose -4*t**2/3 - 334*t/9 + 56/9 = 0. What is t? -28, 1/6 Let 14*h**4 + 24*h**3 - 302*h**2 + 336*h - 72 = 0. What is h? -6, 2/7, 1, 3 Factor -q**5/3 + 7*q**4 + 22*q**3/3. -q**3*(q - 22)*(q + 1)/3 Factor -7*a**2/4 - 10*a + 3. -(a + 6)*(7*a - 2)/4 Solve 2*h**4 + 12*h**3 + 18*h**2 - 8*h - 24 = 0. -3, -2, 1 Suppose -q**5/4 + 3*q**4/4 - q**2 = 0. What is q? -1, 0, 2 Let -5*r**2 + 3435*r = 0. What is r? 0, 687 Factor 5*o**4 + 30*o**3 + 55*o**2 + 30*o. 5*o*(o + 1)*(o + 2)*(o + 3) Suppose -w**3 + 3*w**2 + 4*w = 0. Calculate w. -1, 0, 4 Factor -5*n**2 + 25*n + 180. -5*(n - 9)*(n + 4) Suppose 4*l**5 - 4*l**4 - 508*l**3 + 1444*l**2 + 504*l - 1440 = 0. What is l? -12, -1, 1, 3, 10 Suppose -110*m**3/3 + 295*m**2/3 + 115*m/3 - 10 = 0. Calculate m. -1/2, 2/11, 3 Factor 4*f**3/9 + 758*f**2/9 + 42*f. 2*f*(f + 189)*(2*f + 1)/9 Factor 3*u**3/5 + 18*u**2/5 - 96/5. 3*(u - 2)*(u + 4)**2/5 Factor -2*o**4/7 - 48*o**3/7 - 54*o**2 - 972*o/7. -2*o*(o + 6)*(o + 9)**2/7 Suppose 3*p**3 - 12*p**2 - 453*p + 462 = 0. What is p? -11, 1, 14 Find h such that -h**4/2 + 3*h**3/2 - h**2 = 0. 0, 1, 2 Let 28*u**3 - 96*u**2 - 64*u = 0. What is u? -4/7, 0, 4 Solve -2*g**2 + 90*g + 92 = 0. -1, 46 What is g in -7*g**5 - 22*g**4 + 12*g**3/7 + 90*g**2/7 - 27*g/7 = 0? -3, -1, 0, 3/7 Factor 4*t**5 + 312*t**4 - 640*t**3 + 8*t**2 + 636*t - 320. 4*(t - 1)**3*(t + 1)*(t + 80) Find o, given that 15*o**3/2 + 25*o**2/2 + 5*o = 0. -1, -2/3, 0 Suppose 2*b**4/13 - 134*b**3/13 + 514*b**2/13 - 634*b/13 + 252/13 = 0. What is b? 1, 2, 63 Factor -n**4 + 3*n**3 + 4*n**2. -n**2*(n - 4)*(n + 1) Find o such that -3*o**2/8 - 131*o/4 + 22 = 0. -88, 2/3 Factor -b**4/3 - 3*b**3 - 7*b**2 - 19*b/3 - 2. -(b + 1)**3*(b + 6)/3 Factor -2*w**3/7 - 1620*w**2/7 - 437400*w/7 - 39366000/7. -2*(w + 270)**3/7 Determine c, given that -c**5/5 + 249*c**4/5 + 1006*c**3/5 + 1514*c**2/5 + 1011*c/5 + 253/5 = 0. -1, 253 Find l, given that 7*l**3/3 + l**2/3 - 2*l = 0. -1, 0, 6/7 Factor -4*s**2 + 56*s + 60. -4*(s - 15)*(s + 1) What is q in q**3/5 + 63*q**2 + 6615*q + 231525 = 0? -105 Factor -c**3/8 + 63*c**2/8. -c**2*(c - 63)/8 Let -2*g**4 - 48*g**3 - 186*g**2 + 524*g - 288 = 0. Calculate g. -18, -8, 1 Factor 2*s**2 - 10*s + 8. 2*(s - 4)*(s - 1) Determine p, given that -2*p**5 + 80*p**4/7 - 88*p**3/7 - 116*p**2/7 + 102*p/7 + 36/7 = 0. -1, -2/7, 1, 3 Factor -2*i**3/17 - 5740*i**2/17 + 11486*i/17 - 5744/17. -2*(i - 1)**2*(i + 2872)/17 Let -3*b**3 + 171*b**2 - 3249*b + 20577 = 0. What is b? 19 Factor -2*v**4/15 - 2*v**3/15 + 6*v**2/5 - 22*v/15 + 8/15. -2*(v - 1)**3*(v + 4)/15 Determine t, given that t**3/2 + 17*t**2 + 84*t = 0. -28, -6, 0 Determine s, given that 3*s**2 + 168*s + 624 = 0. -52, -4 Factor g**3/2 + 49*g**2/2 + 399*g/2 + 351/2. (g + 1)*(g + 9)*(g + 39)/2 Let 2*j**5/3 + 2*j**4 - 2*j**3 - 14*j**2/3 + 4*j = 0. Calculate j. -3, -2, 0, 1 Determine k so that 14*k**3/3 + 92*k**2/3 + 58*k + 24 = 0. -3, -4/7 Factor -6*f**5 + 27*f**4 - 45*f**3 + 33*f**2 - 9*f. -3*f*(f - 1)**3*(2*f - 3) Factor -16*n**3 - 108*n**2 - 96*n + 320. -4*(n + 4)**2*(4*n - 5) Solve -4*q**4/9 - 398*q**3/9 - 150*q**2 - 64*q = 0. -96, -3, -1/2, 0 Suppose h**5/2 - 25*h**4/2 + 183*h**3/2 - 263*h**2/2 - 374*h + 726 = 0. Calculate h. -2, 2, 3, 11 Determine g so that g**2 - 104*g + 204 = 0. 2, 102 Factor 3*k**4 - 9*k**3 - 3*k**2 + 9*k. 3*k*(k - 3)*(k - 1)*(k + 1) What is k in -3*k**5 - 63*k**4 - 60*k**3 = 0? -20, -1, 0 Factor -h**3 + 828*h**2 - 228528*h + 21024576. -(h - 276)**3 Solve -5*w**4 - 105*w**3 - 610*w**2 - 300*w + 3960 = 0. -11, -6, 2 Factor -4*b**4 + 16*b**3 + 4*b**2 - 16*b. -4*b*(b - 4)*(b - 1)*(b + 1) Find g, given that 11*g**2/3 + 90*g + 48 = 0. -24, -6/11 Factor 2*a**2/3 - 22*a/3. 2*a*(a - 11)/3 Factor -34*q**4/5 - 86*q**3/5 - 54*q**2/5 + 14*q/5 + 16/5. -2*(q + 1)**3*(17*q - 8)/5 Factor -h**2/4 - 17*h/4 + 55/2. -(h - 5)*(h + 22)/4 Factor -3*i**5 + 6*i**3 - 3*i. -3*i*(i - 1)**2*(i + 1)**2 Determine u, given that -4*u**5 - 20*u**4 - 21*u**3 + 16*u**2 + 23*u + 6 = 0. -3, -2, -1/2, 1 Factor 5*b**3 - 5*b. 5*b*(b - 1)*(b + 1) Factor z**2/10 - 213*z/5 - 3031/10. (z - 433)*(z + 7)/10 Suppose 8*x**5 + 8*x**4 - 18*x**3 - 2*x**2 + 4*x = 0. Calculate x. -2, -1/2, 0, 1/2, 1 Factor -3*w**2 + 23064*w - 44329008. -3*(w - 3844)**2 Factor -n**3 + 47*n**2 + 160*n - 500. -(n - 50)*(n - 2)*(n + 5) Let 2*k**4 + 98*k**3 - 6*k**2 - 298*k - 196 = 0. Calculate k. -49, -1, 2 Factor -3*r**3 + 78*r**2 - 375*r + 300. -3*(r - 20)*(r - 5)*(r - 1) What is l in 3*l**2/8 + 1479*l/2 + 729147/2 = 0? -986 Factor -r**2/6 - 49*r/3 + 33/2. -(r - 1)*(r + 99)/6 Factor -2*o**2 + 96*o - 1152. -2*(o - 24)**2 Find y, given that -y**4/8 - 25*y**3/8 + 7*y**2/8 + 181*y/8 + 75/4 = 0. -25, -2, -1, 3 What is s in -s**2/4 - 151*s/2 - 897/4 = 0? -299, -3 Factor -r**3/3 + 8*r**2/3 + 112*r/3 + 256/3. -(r - 16)*(r + 4)**2/3 Suppose -3*k**3 - 249*k**2 - 228*k + 1476 = 0. Calculate k. -82, -3, 2 Solve 3*q**4/4 - 381*q**3/4 + 1125*q**2/4 - 1119*q/4 + 93 = 0 for q. 1, 124 Factor -4*g**4 - 88*g**3 - 164*g**2 - 80*g. -4*g*(g + 1)**2*(g + 20) Solve 5*g**5 + 2735*g**4 + 10890*g**3 + 16310*g**2 + 10865*g + 2715 = 0 for g. -543, -1 Factor 20*h**3 - 1205*h**2 + 1480*h - 295. 5*(h - 59)*(h - 1)*(4*h - 1) Solve 4*w**3 - 180*w**2 + 348*w - 172 = 0. 1, 43 What is a in -a**2/4 - 43*a/4 = 0? -43
{ "pile_set_name": "DM Mathematics" }
t k be t(13). Suppose -3411 = -k*o + 2097. Calculate the highest common factor of 36 and o. 36 Suppose -h = -3, 9*h - 179 = -k + 8*h. Suppose 0 = -2*b - 3*b + 80. Calculate the highest common divisor of b and k. 16 Suppose -o - 918 = -7*o. Let a be 4 - -5 - 135/(-15). Calculate the greatest common divisor of a and o. 9 Let w(d) = -4*d**2 - 83*d - 122. Let a be w(-19). Calculate the highest common factor of 1397 and a. 11 Let y = 59 + -29. Let t = -1063 - -1393. What is the highest common factor of t and y? 30 Let a = 16033 + -15484. Calculate the greatest common factor of a and 18. 9 Let p(t) = t**3 - 7*t**2 + 14*t - 46. Let d be p(6). Suppose 5*i = 2*g - 49, 0 = -5*g + 2*g - d*i + 102. Calculate the highest common factor of 160 and g. 32 Let o(n) = n**2 - 3*n + 1. Let h be o(7). Suppose -155*t - 219*t - 28271 = -125885. Calculate the highest common divisor of t and h. 29 Let n(y) = -y**2 + 7*y + 10. Let c(a) = -2*a**3 + a - 65. Let j be c(0). Let l = -57 - j. Let d be n(l). Calculate the greatest common divisor of 2 and d. 2 Let w be 2/(28/(-10)) - (-6)/(-21). Let k be (w/(-4) + 9/12)/(-1). Let n(q) = -44*q - 5. Let f be n(k). Calculate the highest common divisor of f and 104. 13 Let i be (-2618)/(-8) - (-10)/(-40). Calculate the highest common divisor of i and 2071. 109 Suppose -2*h - 15 = -5*h. Let r(w) = 0*w - 1 + 4*w**2 - 10*w + 6 - w**2. Let p be r(h). Calculate the highest common divisor of 10 and p. 10 Let x(n) = -22*n - 15. Let l be x(-6). Let d = l - 84. Suppose -u + 5*v - 317 = -4*u, -2*v = -3*u + 289. What is the greatest common divisor of u and d? 33 Let f(q) = -262*q - 6495. Let x be f(-25). Calculate the highest common divisor of x and 11. 11 Suppose 4*u - 5*u = -26. What is the greatest common factor of 4160 and u? 26 Let q(f) = -f**2 - 7*f. Let v be q(-5). Let z(t) = -77*t - 1227. Let s be z(-16). What is the highest common factor of v and s? 5 Suppose 7*n - 83 = 519. Suppose 0 = 80*i - n*i + 234. What is the greatest common factor of i and 182? 13 Let g(c) be the first derivative of 15*c**2/2 - 10*c + 18. Let t be g(5). Let y = -51 + t. What is the highest common factor of y and 7? 7 Suppose -2*d + 4*m + 72 = 0, -3*d + 27*m + 68 = 29*m. What is the greatest common divisor of 247 and d? 13 Suppose -39*x - 11*x + 677 = -1723. Calculate the highest common divisor of x and 1760. 16 Let p = 27 - 22. Suppose 1 + 9 = 5*u, -c - 4 = -p*u. Suppose -8*b = -c*b - 32. Calculate the highest common divisor of 2 and b. 2 Let g(z) = 360*z + 504. Let q be g(72). Calculate the highest common factor of q and 72. 72 Let n(m) = 37*m**2 - m. Let b be n(1). Let s be -6 - (0 + (40*(-21)/14)/1). What is the highest common divisor of b and s? 18 Let k(b) = b**3 + 4*b**2 - 95*b - 4. Let m be k(8). What is the greatest common divisor of m and 122? 2 Let u(l) = -l**2 - 14*l - 10. Let q be u(-5). Let g be (q/10 + -4)/((-1)/(-122)). Let f be g/(-3) - (-1)/(-3). What is the greatest common factor of f and 60? 20 Let f = 7653 - 7579. Calculate the greatest common divisor of f and 4033. 37 Suppose -7 = -8*k + 17. Suppose 4*c - 2*h = 162, -7*c + 183 = -k*c + 5*h. What is the highest common divisor of 28 and c? 14 Let z = 666 - 567. What is the greatest common factor of 1221 and z? 33 Let t be 9/6*((-780)/(-72))/(2/64). What is the highest common divisor of 440 and t? 40 Suppose 0 = 3*w - w - 8, -2*w - 2 = -t. Suppose 0 = -7*j - 724 - 179. Let d = -49 - j. What is the highest common divisor of d and t? 10 Suppose 3*m - 1616 - 93 = -f, 8 = 4*m. Calculate the highest common factor of f and 262. 131 Let q = 10966 - 6635. What is the greatest common divisor of 71 and q? 71 Suppose -n = 3*b - 3 + 36, -b - 3 = 3*n. Let z = 14 + b. Suppose 52 = -s + 4*s - 4*p, p = z. Calculate the highest common factor of s and 10. 10 Let h(c) = c + 75. Let i be (-30)/(-210) + 183/(-7). Let d be h(i). Let t be (1/(-2))/((-6)/(-36)) + d. What is the highest common divisor of 23 and t? 23 Suppose 0 = 4*a - 4*s - 1856, 5*a = 6*a + s - 474. Let m = a - 139. Calculate the greatest common factor of 30 and m. 30 Let c(a) be the second derivative of 21*a**5/20 - 5*a**4/12 + 4*a**3/3 - 3*a**2 + 51*a. Let z be c(3). What is the highest common factor of z and 24? 12 Suppose 15*g - 19*g + 287 = 5*x, 385 = 5*g + x. What is the greatest common factor of 342 and g? 6 Let u be (0 - (-12)/4)*218/6. Suppose -21*s + u = -17. Calculate the greatest common factor of 42 and s. 6 Suppose 0 = -445*i + 596*i - 6040. Suppose 5*j = 25, x + 0*j + 3*j = 75. What is the highest common factor of i and x? 20 Let a(n) = 2*n**2 + 5*n + 18. Let p be a(-4). Let u be 1 + (-5)/10*2 + p. What is the greatest common factor of u and 255? 15 Let v = 376 + -326. What is the highest common factor of v and 1070? 10 Let h(b) = 39*b**2 + 26*b - 89. Let n be h(3). Let m = n + -318. Calculate the highest common factor of m and 176. 22 Let n be (1/3)/((-34)/(-10200)). Let b be (-8120)/(-50) - 4/10. Let m = -87 + b. What is the greatest common factor of m and n? 25 Let g(d) = -52*d**2 + 501*d + 13. Let j be g(8). What is the highest common factor of j and 308? 77 Let l = 138 + -78. What is the greatest common factor of 7515 and l? 15 Let m = 6 - 2. Suppose -r - 5*j = -23, m*r - 4*j - 24 + 4 = 0. Suppose -5*s + 88*b + 29 = 89*b, 31 = s + 3*b. Calculate the greatest common divisor of r and s. 4 Let u = 93 - 45. Suppose 3*b - 3*a - 18 = 0, -5*b - 5 = 5*a + 5. Let o be b*6/(-5)*120/(-18). Calculate the highest common divisor of o and u. 16 Suppose -2*l = -x - 2336, -20*l = -22*l - 4*x + 2316. What is the highest common factor of 66 and l? 22 Suppose 8*j = 2*j + 198. Suppose -2*t = -2*r - 30, -5*t - j = 5*r - 98. What is the greatest common divisor of 98 and t? 14 Let o(x) = x**2 - 4*x + 22. Let w be o(8). Suppose 27*m - 18*m - w = 0. Suppose 9 = -i + 21. What is the highest common factor of m and i? 6 Let j(u) = -u**2 + 12*u + 8. Let m be j(10). Suppose -m*q - 7*q = -9765. What is the highest common divisor of q and 248? 31 Suppose d = -4*k - 72 - 3, -5*d = -5*k + 250. Let x = 15 - d. What is the greatest common factor of 14 and x? 14 Suppose 70*h - 49 = 25 - 4. Let u = 0 - -64. What is the greatest common factor of h and u? 1 Suppose -u = -5*j - 53, -8 - 2 = 2*j. Let c be (-785)/(-4) - ((-14)/8 - -2). Calculate the greatest common factor of u and c. 28 Let g = -29590 - -30160. What is the greatest common divisor of 25 and g? 5 Suppose -2*f = -16 - 12. Suppose 2*q = 4*l - 796, -158 = -l + 4*q + 41. Let p = l + -87. Calculate the highest common divisor of f and p. 14 Let q be ((-15)/315*7)/((-1)/546). Let a be (3 - -2)*(-4)/(-10). Suppose -4*i - a + 106 = 0. Calculate the highest common divisor of q and i. 26 Suppose 90 = 8*c - 54. Suppose -455 - 1651 = -c*s. Calculate the greatest common factor of s and 52. 13 Let n(v) = v**2 + 21*v + 24. Let w be n(-20). Let d(u) = 6*u**3 - 5*u**2 + 2*u + 10. Let a be d(w). Calculate the greatest common divisor of a and 46. 46 Let f = 527 + -301. Suppose -20 - f = -u + 3*l, -l - 1202 = -5*u. What is the greatest common divisor of u and 30? 30 Suppose -52*t = -76*t + 552. Calculate the greatest common factor of 5497 and t. 23 Suppose 0*s + 63 = s. Suppose -673*x - 392*x = -268380. What is the greatest common factor of s and x? 63 Suppose -9 - 1 = -w. Suppose 6*b + 208 = 262. Let c = 39 - b. Calculate the greatest common factor of c and w. 10 Let h(l) = -22*l - 56. Let v(f) = f**3 + 6*f**2 + 10*f + 8. Let b be v(-5). Let k be h(b). Calculate the greatest common factor of 6 and k. 6 Let f be ((-320)/15 + 21)/(2*(-2)/108732). What is the highest common divisor of 41 and f? 41 Let h = 26 + -11. Suppose 3*p - 12 = -4*t + 36, -p = t - h. Suppose -4 = 2*i + 2, i - 27 = -5*m. Calculate the greatest common factor of p and m. 6 Let p(z) = z**3 - 8*z**2 + z + 1. Let a be p(9). Let d be (0 - 3)/(5/(-65)). Calculate the greatest common divisor of a and d. 13 Suppose 229*c - 142071 = 2657. Calculate the greatest common factor of c and 72. 8 Let i be (91/26)/(70/160). Suppose 3*y + 12 - 60 = 0. What is the greatest common factor of i and y? 8 Let y(s) = -7*s + 18. Let c(v) = -11*v + 19. Let b(t) = -2*c(t) + 3*y(t). Let a be b(-4). Calculate the highest common factor of a and 324. 12 Let w be 175/(1/1) + (6 - 5). Sup
{ "pile_set_name": "DM Mathematics" }
lue? (a) -10/7 (b) 0.3 (c) -1/4 a Which is the third biggest value? (a) -1/45 (b) -0.08 (c) 2 (d) -3 b What is the second biggest value in 242, 0.5, 0.3? 0.5 Which is the third biggest value? (a) 3 (b) -0.4 (c) -4 (d) -1/4 b What is the third biggest value in -0.5, 5, -0.027, -2? -0.5 Which is the biggest value? (a) -0.2 (b) -1 (c) 5 (d) 1/1670 c Which is the third smallest value? (a) -0.3 (b) -1/5 (c) 8 c Which is the biggest value? (a) -0.2 (b) -56 (c) -82 a Which is the smallest value? (a) 3 (b) 4/31 (c) -1/6 (d) -3 d What is the fifth biggest value in -0.5, -0.6, -23, -0.4, 3? -23 What is the third smallest value in -22, -602, 1/2? 1/2 Which is the third smallest value? (a) -2 (b) -49 (c) 0.2 (d) -7 a What is the fourth smallest value in 0, -0.5, -7, 2/11? 2/11 Which is the second biggest value? (a) -4 (b) 288 (c) -0.02 c What is the fourth biggest value in -0.1, -2, 5, 2/31? -2 What is the biggest value in 0.4, -2141, 1? 1 What is the biggest value in -3, -7, -12, 1? 1 Which is the second biggest value? (a) 16 (b) 0 (c) 1 c What is the second smallest value in 0.5, -6, -3? -3 Which is the smallest value? (a) 3 (b) 2/7 (c) 9/4 (d) -1 d What is the biggest value in -5, -0.09, -86? -0.09 Which is the second biggest value? (a) -10 (b) -5 (c) 18 b What is the second smallest value in -3, -25, -0.06, -0.2? -3 What is the biggest value in 6/25, -0.3, 0.4, -32? 0.4 Which is the fourth smallest value? (a) 1/5 (b) -6 (c) -0.2 (d) -20 a Which is the fourth biggest value? (a) 0.3 (b) -4 (c) 4 (d) -3 b Which is the second smallest value? (a) -70 (b) 1/9 (c) 3 b Which is the third smallest value? (a) 4/3 (b) 0.4 (c) 5 (d) 0.05 a Which is the biggest value? (a) -310.2 (b) 2/11 (c) -1/4 b Which is the third biggest value? (a) 6/5 (b) -3 (c) 0 b What is the fourth biggest value in 0.5, 0, -16, -0.79? -16 Which is the fourth biggest value? (a) 0.01 (b) 0.3 (c) 3/4 (d) 1 a What is the third smallest value in -0.052, 62, -2/9, -4? -0.052 What is the smallest value in -20, -0.5, 2, -1/8, -5? -20 Which is the second smallest value? (a) -1.37 (b) -4 (c) 2/3 a Which is the second smallest value? (a) -1/42 (b) 2 (c) -4 a Which is the third smallest value? (a) 0.029 (b) -0.5 (c) -1 a Which is the smallest value? (a) -0.29 (b) 0.5 (c) 0.4 a Which is the third smallest value? (a) -3 (b) 2/5 (c) 125 (d) 4 d What is the third smallest value in -1/194, -2/7, 2/3? 2/3 Which is the fourth smallest value? (a) 1.3 (b) 0.1 (c) 6 (d) 2/3 (e) 7 c Which is the smallest value? (a) -7 (b) -3 (c) -90 c What is the second biggest value in 0.025, 5, -1.1, -3? 0.025 Which is the fourth smallest value? (a) 1/4 (b) -0.17 (c) -5 (d) 13 d Which is the second smallest value? (a) -0.2 (b) 0.1 (c) -63/2 a What is the third biggest value in 5, -4/7, 19? -4/7 Which is the biggest value? (a) -1/7 (b) -3/7 (c) -0.783 (d) -6/11 (e) 5 e What is the fifth smallest value in -1, -1.6, -0.1, -20, -0.03? -0.03 Which is the fourth biggest value? (a) -2/7 (b) -2/9 (c) -2 (d) 4 (e) 2 a Which is the second smallest value? (a) 92 (b) 0 (c) -2/15 (d) -2 c What is the second smallest value in 1/6, -1/8, 0, 0.3, -4? -1/8 What is the fourth smallest value in 6, 0.3, -5, 2.2? 6 Which is the third smallest value? (a) -5 (b) -12 (c) -0.4 (d) 1/4 c What is the fifth biggest value in -1, 1/3, -2, -0.71, 1/2? -2 Which is the biggest value? (a) 4 (b) -0.2 (c) -12 a Which is the third smallest value? (a) -3 (b) -7 (c) -0.7 (d) -3/8 c What is the third biggest value in 2, -3, 2/5, 0.14? 0.14 What is the third smallest value in 0.2, -9/4, 2/3? 2/3 Which is the fourth smallest value? (a) -2 (b) 3/2 (c) -0.044 (d) -0.5 (e) 4/3 e What is the second smallest value in -0.4, -3/5, 1.81? -0.4 What is the second smallest value in -0.05, -1, 5? -0.05 Which is the third smallest value? (a) -4 (b) 0.5 (c) 0.7 (d) -8 b What is the third smallest value in 2/7, 1/9, 1/4, 0.2? 1/4 What is the second biggest value in -2/15, -9, -1, 1, -1/3? -2/15 What is the second biggest value in 3/8, 2, 5, -2/7? 2 Which is the second smallest value? (a) 0.04 (b) -0.8 (c) 3 a What is the third biggest value in 18, -0.04, -5, 0.5? -0.04 Which is the biggest value? (a) -1 (b) -271 (c) 1 (d) -0.9 (e) -5 c What is the smallest value in 2/3, 295, -2? -2 What is the smallest value in -3, -2/7, -0.07, 0? -3 Which is the third smallest value? (a) 5 (b) 0.4 (c) -0.5 (d) -0.3 (e) 6/115 e Which is the biggest value? (a) 0.5 (b) -0.3 (c) 1 (d) -79 (e) 1/3 c What is the smallest value in -109, 3, 2, -9? -109 What is the smallest value in -1, 0.5, -507? -507 What is the third biggest value in -2, 2/7, 4, -3/73? -3/73 Which is the smallest value? (a) 2/5 (b) 31 (c) 0.3 (d) -3 d Which is the biggest value? (a) 3/4 (b) -1/4 (c) 14 (d) 4 c Which is the second smallest value? (a) -168 (b) 4 (c) 3 c Which is the fifth biggest value? (a) -4 (b) -2.5 (c) -0.1 (d) 2/9 (e) 0.4 a What is the third smallest value in 2, -0.02, -1, 0.09? 0.09 What is the fourth smallest value in -2/7, -95, -0.5, 1? 1 Which is the second smallest value? (a) -3 (b) 2/7 (c) -17 a What is the second biggest value in 0.4, -0.3, 2/3, 39, 3? 3 Which is the smallest value? (a) -3/5 (b) 0.7 (c) 4 a What is the third biggest value in -0.4, 0.36, -4? -4 Which is the third biggest value? (a) -1/4 (b) -1 (c) -153 c What is the third smallest value in 1/9, 20/3, -0.3, 0.4, 6? 0.4 Which is the fourth biggest value? (a) -1/6 (b) 4 (c) -1/7 (d) -2/9 d Which is the fourth smallest value? (a) -0.06 (b) -0.5 (c) -5 (d) 0.043 (e) 2 d What is the third biggest value in 2, 0.5, -0.106? -0.106 Which is the fourth biggest value? (a) -11 (b) 1/2 (c) 0.3 (d) 1/4 (e) -1 e What is the smallest value in -3/4, 35, 6, 5, -2? -2 Which is the second smallest value? (a) -1/3 (b) 151 (c) 0.4 (d) -0.3 d What is the fourth biggest value in 0.3, -0.4, -1, -3/8, 5? -0.4 Which is the second smallest value? (a) 6 (b) -1/3 (c) -3 b Which is the third biggest value? (a) 1 (b) 59.3 (c) -3 c Which is the third smallest value? (a) -4 (b) 0.1 (c) 0.2 c What is the biggest value in 0, 263, 2? 263 Which is the smallest value? (a) -0.2 (b) 2/7 (c) -0.06 (d) -5 d What is the fourth smallest value in 1, 4, 0.3, -6, 2/15? 1 Which is the biggest value? (a) -2/3 (b) 2153/6 (c) 0.1 b What is the third biggest value in -3/137, 0.1, 1/5? -3/137 Which is the fourth smallest value? (a) -0.44 (b) -0.064 (c) -2/3 (d) -3 b What is the second smallest value in 1/5, -2, 3/11? 1/5 Which is the biggest value? (a) 17 (b) -9 (c) -1/2 (d) -4/7 (e) -1/3 a What is the biggest value in 0.1, -169, -4? 0.1 What is the third biggest value in -3/2, -24, -4? -24 What is the smallest value in -2.6, 0, -1.27? -2.6 What is the smallest value in -2/7, -9, -1, 2, 37? -9 Which is the fourth biggest value? (a) -0.05 (b) 9/8 (c) 3 (d) -1/2 d Which is the third smallest value? (a) -1/2 (b) -14 (c) -3 (d) -0.14 a Which is the smallest value? (a) 3.391 (b) -0.2 (c) -1/9 b What is the fourth smallest value in 3/4, 25, 0.9, -2? 25 Which is the third biggest value? (a) -1 (b) 2/19 (c) 0.07 a Which is the fourth smallest value? (a) -1/27 (b) -5/2 (c) 3 (d) 0 c What is the second smallest value in -3, -37.2, -1, -3/8, 1/4? -3 Which is the second biggest value? (a) 2/19 (b) -92 (c) 4/3 a What is the second biggest value in 1/3, 1/2, 35? 1/2 Which is the second biggest value? (a) 1/3 (b) -0.4 (c) -0.3 (d) -6 (e) 32 a Which is the third biggest value? (a) 0.2057 (b) -4/9 (c) -0.5 c Which is the biggest value? (a) -0.5 (b) 0.4 (c) -0.11 (d) 28/13 d What is the third biggest value in 78, -0.4, 0.3, -2/3? -0.4 What is the smallest value in 4, -4, -0.1? -4 Which is the third biggest value? (a) 6 (b) 4/19 (c) 3 (d) 0 b What is the fourth biggest value in -5, -3/11, 0.4, 3, -0.5? -0.5 What is the third smallest value in -0.3, 3, 1, 0, 31? 1 What is the second smallest value in -0.004, -2, 2/3? -0.004 Which is the biggest value? (a) -23 (b) -1 (c) -0.3 c Which is the smallest value? (a) 0.5 (b) -0.05 (c) 0.25 (d) -4 d What is the four
{ "pile_set_name": "DM Mathematics" }
emainder when ((-472)/(-354))/((-3)/(-36)) is divided by t? 1 Suppose 741 + 267 = -2*f. Let b = 559 + f. What is the remainder when b is divided by 29? 26 Suppose 2*u = 6, 4*d + 11*u + 1100 = 15*u. Let l = -32 - d. What is the remainder when l is divided by 41? 35 Suppose 4*a - 201 = -s, -353*s + 352*s + 4*a + 145 = 0. What is the remainder when 1714 is divided by s? 157 Suppose -3*i + 14 = 2*f, 0*f + 3*i = f - 7. Calculate the remainder when (f - (-1 - -3) - -118) + -5 is divided by 11. 8 Suppose 5*l + 96 = 2*u, -u + 44 = -3*l - 2. Let y(j) = 6*j**2 + 3104*j + 6204. What is the remainder when u is divided by y(-2)? 18 Suppose -3*o + 4*f = 10, 3 = -o - 3*f - 9. What is the remainder when (-180)/48*(170/o - 1) is divided by 56? 54 Suppose -142 = -3*k - 76. Let r(b) be the first derivative of 2*b**3/3 - 3*b**2/2 - b - 3. What is the remainder when k is divided by r(3)? 6 Let d = 76 + -72. Suppose d*v - 277 = 5*o, 4*v + 3*o = 2*v + 133. What is the remainder when 270 is divided by v? 66 Suppose -4*a + 7519 - 1011 = -5*p, 3*p - 4908 = -3*a. Suppose x + x + a = 0. What is the remainder when x/(-11) - (-4)/(-22) is divided by 25? 24 Let o be (-1)/6 - (6 - 4383/54). Let g = o - 49. Let s(q) = 5*q**2 - q - 3. Calculate the remainder when s(-5) is divided by g. 23 Suppose 8*n = -16810 + 17082. What is the remainder when 2922 is divided by n? 32 Suppose -20*o + 280 + 2120 = 0. Let g(a) = 27*a + 3. Let j be g(7). Suppose -8*u + o + j = 0. What is the remainder when u is divided by 10? 9 Let u(g) = -g**2 - 9*g - 5. Suppose -3*f + 47 = -31. What is the remainder when f is divided by u(-2)? 8 Suppose 4*f + 4*q = 172, -6*f + 2*f + 3*q + 158 = 0. Let m be (6*f/2)/((-6)/(-4)). Let h = 208 - m. What is the remainder when h is divided by 16? 14 What is the remainder when 217 is divided by -5 + -1 + 1 - (-15925)/455? 7 Let j = 23290 - 19025. Calculate the remainder when j is divided by 17. 15 Let o(t) = 142*t**2 - 4*t - 1. Calculate the remainder when o(2) is divided by 178. 25 Let u = 32 + 14. Let q = u - 39. Suppose 2*r - q*r = -765. Calculate the remainder when r is divided by 26. 23 Let g(t) = 94*t + 1. Let w be g(1). Let v = w + -89. What is the remainder when 4/v*(-3 - -34)*3 is divided by 23? 16 Let o(i) be the first derivative of i**4/4 + 3*i**3 + 4*i**2 + 11*i - 434. Let l be 1/2 - (-51)/(-6). What is the remainder when 20 is divided by o(l)? 9 Let v = -1194 + 1280. Let o(q) = -5*q - 10. What is the remainder when v is divided by o(-8)? 26 What is the remainder when 2157 is divided by (-6)/9*(-25 + -245)? 177 Let r = -83 - -147. Suppose -m + 22*w - 20*w + 640 = 0, 1279 = 2*m - 3*w. What is the remainder when m is divided by r? 62 Let v(u) = -u**2 + 9*u + 627. What is the remainder when v(-19) is divided by 46? 3 Suppose 5*q - 2*t = 30, -q + 6*t = 2*t - 24. Suppose q*m = 4*w + 136, -4*w = -6*w - 8. What is the remainder when 37 is divided by m? 7 Let z = -131 - -760. Suppose -8*c + z + 19 = 0. What is the remainder when 320 is divided by c? 77 What is the remainder when 2/7*((-73800)/(-48) - 22) is divided by 213? 7 Let l(b) = b**3 - b**2 - 4*b - 2. Let g = 87 - 84. Let c be l(g). Suppose c*v - 3 = v, 5*o = 5*v + 10. What is the remainder when 24 is divided by o? 0 Let q = -100758 + 100942. Suppose -8*i + 3*i = -80. What is the remainder when q is divided by i? 8 Let g(j) = j**2 - 7*j - 15. Let q be g(-2). What is the remainder when 118 is divided by 3 + q*(0 - -4)? 13 Let s = -64 - -120. Let w = 40 + s. Calculate the remainder when 16 is divided by (-2 - 2/(-4))/((-18)/w). 0 Let b = 30 + -18. Let q = 921 - 927. What is the remainder when (-2)/(q - (-96)/18) + 19 is divided by b? 10 Suppose -3*d + 355 - 115 = 0. What is the remainder when 144/336 + 2192/14 is divided by d? 77 Let z be 4 + (0 - 1) - (-1 - 1). Suppose -z*t + 135 = 45. What is the remainder when 65 is divided by t? 11 Suppose -28863 = -298*c + 5080 + 41749. Calculate the remainder when 399 is divided by c. 145 Suppose -3*t = f - 57467, -45*t + 53*t = 2*f + 153236. Calculate the remainder when t is divided by 93. 90 Suppose -60222 - 325278 = -150*l. What is the remainder when 5146 is divided by l? 6 Suppose o - 5*s = 67, -o = 31*s - 33*s - 73. Calculate the remainder when 121 is divided by o. 44 Let m(i) = 2*i**3 + 13*i**2 + 16*i - 5. Let f be m(-4). Suppose 0 = -2*j - 4*q - 7 + 9, -4*j = q - f. What is the remainder when 9 is divided by j? 0 Let q(w) = -w**3 + 5*w**2 + 5*w + 1. Let r be (-8)/10*5/(-2). Let l be 5*((-30)/(-24) + r/(-8)). What is the remainder when q(l) is divided by 8? 2 Suppose 2*w - 4 = -2*z, -3*z + 9*w = 11*w - 9. Calculate the remainder when 53 is divided by z + (-70)/10 + 31. 24 Let b = -662 - -591. Let s = 82 + b. Calculate the remainder when ((-106)/4)/(1/(-2)) is divided by s. 9 Suppose -81*c + 36557 = 40*c + 142*c. Calculate the remainder when 1103 is divided by c. 130 Let p(f) = 4*f**2 - 5*f - 10. Let u be p(5). Suppose -2*t - u = 3*l - 405, 4*l - 3*t = 442. Calculate the remainder when l is divided by 23. 20 Suppose 14*n = -17*n + 868. Suppose -821 + 26 = -53*u. What is the remainder when n is divided by u? 13 Let b = 270 - 264. Suppose 0 = q + y - 17, -8*q + b*q + 4*y = -40. What is the remainder when 67 is divided by q? 13 Suppose 9*x + 6*x - 10989 = -4104. Calculate the remainder when x is divided by 116. 111 Let p(x) = 20*x - 6. Let j = -82 + 241. Calculate the remainder when j is divided by p(3). 51 Let i be ((-2)/4)/(2 + 428/(-216)). Let z(j) = -15*j**3 - 2*j**2 + j + 2. Calculate the remainder when z(-1) is divided by (12/(-10))/(i/90). 2 Suppose 97*k = -722 + 15951. Calculate the remainder when k is divided by 55. 47 Let g = -184 + 189. Suppose 14*f = 17*f + 5*h - 106, 25 = g*h. What is the remainder when 86 is divided by f? 5 What is the remainder when ((-16)/6)/(76/(-3306)) is divided by 74? 42 Let o = 5968 - 5011. Calculate the remainder when o is divided by 109. 85 Suppose -1298 = -7*x + 102. Calculate the remainder when x is divided by 72. 56 Suppose 4*n = 4, -3*z - 3*n = z - 3999. Suppose -19*o + 4397 + z = 0. What is the remainder when o is divided by 7? 4 Let w(k) = k**3 - 45*k**2 + 39*k + 233. Calculate the remainder when 36 is divided by w(44). 10 Calculate the remainder when 303 is divided by ((-2)/(-1))/(48/3720)*(-5 + 6). 148 What is the remainder when 244 is divided by (-13)/(78/66) - -34? 14 Let h be (-1135)/(-35) - 8/(-14). Suppose -4*b - 51 = -3*t, -3*t + h = b - 18. Calculate the remainder when 37 is divided by t. 3 Let c(r) = 7*r**2 - 18*r + 27. What is the remainder when c(10) is divided by 110? 107 Let w(z) = z + 2. Let t(i) = -26*i + 850. What is the remainder when t(30) is divided by w(4)? 4 What is the remainder when 77/(-1232) - 4467/(-48) is divided by 12/20 + (-454)/(-10)? 1 Suppose 1790 = 37*r - 393. What is the remainder when 233 is divided by r? 56 Let i be ((-25)/5 - 5)*2/(-4). Suppose -180 = i*r - 20*r. What is the remainder when 130 is divided by r? 10 Let v = -20013 + 20028. Calculate the remainder when 2390 is divided by v. 5 Let g(i) = -585*i + 2975. Calculate the remainder when 79 is divided by g(5). 29 Suppose -75*v = -91*v + 4256. What is the remainder when 4/2 + 61 + 1 is divided by (-27)/108 - v/(-8)? 31 Suppose 27792 = 2*f - 20*f. Calculate the remainder when f/(-6) - (-6)/9 is divided by 87. 84 Let p(n) = -56*n**2 - 285*n - 14. What is the remainder when 1005 is divided by p(-5)? 4 Suppose -32*m - 220 = -27*m. Let x = m - -64. Let c = 68 + 31. What is the remainder when c is divided by x? 19 Suppose 0 = 5*o - 40*y + 44*y - 456, -7*o + 2*y + 684 = 0. What is the remainder when 167 is divided by o? 71 Let c(k) = -72*k + 1554. Calculate the remainder when 460 is divided by c(20). 4 Let y(n) = 24*n + 32. Let o be y(37). Suppose 37*q = 14*q + o. What is the remainder when 75 is divided by q? 35 What is the remainder when (-4 + 3)*-1822 - -14 is divided by 80? 76 Suppose 0 = 8*z - 266*z + 246 + 2850. Suppose 4*x - 34 = -2*v + 206, 3 = -x. What is the remainder when v is divided by z? 6 Let b = 30883 - 24144. Calculate the remainder when b is divided by 27. 16 Suppose 5*m + 593 = 2*i, m + 372 = 2*i - 193. Calculate the remainder when i is divided by 13. 6 Let w be 30/14 - (-1 + 16/14). Suppose -2*b = -3*q + 158, -w*q
{ "pile_set_name": "DM Mathematics" }
2). Suppose -4*x + 4 + c*x + 3*x**2 + 7*x = 0. What is x? -2, -2/3 Suppose c - 2*p - 4 = 0, 4*c - p + 20 = -2*p. Let v(m) = -m - 2. Let r be v(c). Factor -i**4 - 3*i**r + i + 2*i**3 + 0*i**3 + i**3. -i*(i - 1)**3 Let o(d) be the third derivative of -d**8/84 + 16*d**7/105 + d**6/3 - 8*d**5/15 - 3*d**4/2 + 12*d**2. Find t such that o(t) = 0. -1, 0, 1, 9 Let u(w) be the second derivative of -w**4/114 - 4*w**3/57 + 5*w**2/19 + 27*w. Factor u(n). -2*(n - 1)*(n + 5)/19 Let w(i) be the second derivative of i + 0 - 2/11*i**2 - 1/11*i**3 + 3/110*i**5 + 1/33*i**4. Determine j, given that w(j) = 0. -1, -2/3, 1 Suppose -2*k = k, -h + 6 = -2*k. Solve -7 - q**2 - q**2 + h*q**2 + 3 = 0. -1, 1 Let d(m) = 3*m**2 - 7*m + 13. Let i(j) be the first derivative of j**3/3 - 3*j**2/2 + 6*j - 2. Let z(q) = 4*d(q) - 9*i(q). Factor z(h). (h - 1)*(3*h + 2) Let t(d) be the first derivative of 0*d**2 - 1/72*d**4 + 2*d - 2 + 1/18*d**3. Let m(u) be the first derivative of t(u). Factor m(y). -y*(y - 2)/6 Let y(u) be the second derivative of 343*u**6/40 + 98*u**5/5 + 35*u**4/2 + 8*u**3 + 2*u**2 - 21*u. Factor y(f). (3*f + 2)*(7*f + 2)**3/4 Suppose 0 = -2*a - 2*a - 0*a. Suppose 2/7*l**2 - 2/7*l**3 + a + 0*l = 0. Calculate l. 0, 1 Factor 4/19*y + 2/19*y**2 + 0. 2*y*(y + 2)/19 Let v = -2474/115 + -508/23. Let t = -43 - v. Factor -3/5*k**5 + 6/5*k**4 - t*k**3 + 0 + 0*k**2 + 0*k. -3*k**3*(k - 1)**2/5 Let h(g) be the first derivative of -g**6/18 + 14*g**5/15 - 49*g**4/12 + 42. Factor h(r). -r**3*(r - 7)**2/3 Let g be (32/5 - -3) + -7. What is m in g*m**4 - 8/5*m**2 - 8/5*m**3 - 4/5 + 12/5*m - 4/5*m**5 = 0? -1, 1 Factor -1/2*i**2 - 3/2*i - 1. -(i + 1)*(i + 2)/2 Let z = 3 + -3. Let c(d) be the first derivative of 1/15*d**5 + 1 + z*d**2 - 1/9*d**3 + 1/12*d**4 - 1/18*d**6 + 0*d. Suppose c(s) = 0. Calculate s. -1, 0, 1 Let n(o) be the second derivative of o**10/30240 - o**9/15120 - o**8/3360 - o**4/3 + 6*o. Let f(q) be the third derivative of n(q). Factor f(w). w**3*(w - 2)*(w + 1) Let k(u) be the third derivative of -5*u**8/48 + 13*u**7/21 - 9*u**6/8 + u**5/3 + 5*u**4/6 - 13*u**2. Let k(w) = 0. Calculate w. -2/7, 0, 1, 2 Factor -2/5*p**2 - 36/5*p + 38/5. -2*(p - 1)*(p + 19)/5 What is n in 2/9*n**4 + 0*n**2 + 0*n - 4/9*n**3 + 0 = 0? 0, 2 Let f(b) be the third derivative of b**5/40 + 3*b**4/2 + 36*b**3 - 5*b**2. Suppose f(y) = 0. What is y? -12 Let t(x) be the second derivative of -x**6/24 - x**5/10 + 19*x**4/48 - x**3/4 + 28*x. Find v, given that t(v) = 0. -3, 0, 2/5, 1 Let c be (7/(-4))/1 + 3. What is m in 1/2 + c*m - 5/4*m**3 - 1/2*m**2 = 0? -1, -2/5, 1 Let v(l) = -l**2 - 9*l - 5. Let j be v(-6). Find g, given that 4*g**2 - 8*g**3 + j*g**4 + 8*g**4 - 17*g**4 = 0. 0, 1 Let c(x) be the first derivative of -2401*x**5/20 - 343*x**4/2 - 98*x**3 - 28*x**2 - 4*x - 3. Factor c(o). -(7*o + 2)**4/4 Let l(c) = -c**3 - 7*c**2 - 8*c - 9. Let i be l(-6). Suppose 8 = i*y - 2*x, 0 = -x + 4*x + 3. Determine t, given that 1 + 14*t + y*t**3 + 8*t**2 - 4*t + 3 = 0. -2, -1 Let a(n) be the third derivative of -1/15*n**5 + 0 - 1/48*n**4 + 1/6*n**3 + n**2 + 0*n - 1/48*n**6. Factor a(q). -(q + 1)**2*(5*q - 2)/2 Let z be -12 - (-202)/18 - (-2 - -1). Suppose 2/3*o**2 - 8/9 - z*o**3 + 0*o = 0. What is o? -1, 2 Let y be 4/(-70) - (-10)/50. Suppose 0 - y*h**3 + 0*h + 0*h**2 = 0. What is h? 0 Let g(r) = -5*r**3 + r**2 + 4*r + 4. Let n = 0 + -4. Let c = 22 - 15. Let a(z) = -9*z**3 + 2*z**2 + 7*z + 7. Let t(v) = c*g(v) + n*a(v). Factor t(l). l**2*(l - 1) Let y(o) = -o**4 + o**3 + o**2 + o + 1. Let a(j) = 5*j**5 + 19*j**4 + 11*j**3 + j**2 - 4*j - 4. Let r(l) = a(l) + 4*y(l). Factor r(m). 5*m**2*(m + 1)**3 Let -31*f**4 + 61*f**2 + 10*f**4 - 6*f**3 - 61*f**2 = 0. What is f? -2/7, 0 Let x(h) be the second derivative of -h**5/50 - h**4/15 + h**3/15 + 2*h**2/5 - 8*h. Find o, given that x(o) = 0. -2, -1, 1 Let s(i) = i - 5. Let d be s(7). Let o(h) = 4 - 2*h**d - 5 - 10*h - 19. Let c(g) = 4*g**2 + 19*g + 41. Let n(q) = -2*c(q) - 5*o(q). Let n(l) = 0. Calculate l. -3 Let u(i) be the second derivative of -i**4/6 + 4*i**3/3 - 4*i**2 - 10*i. Suppose u(d) = 0. What is d? 2 Let a(f) be the second derivative of -f**5/10 - 2*f**4/9 - 4*f**3/27 - 60*f. Suppose a(o) = 0. Calculate o. -2/3, 0 Let u(w) be the third derivative of w**8/168 + 2*w**7/105 - w**5/15 - w**4/12 - 8*w**2. Find a, given that u(a) = 0. -1, 0, 1 Let s(a) be the second derivative of 0*a**3 + 0 + 0*a**4 - 1/180*a**5 + 4*a + 3/2*a**2. Let y(j) be the first derivative of s(j). Factor y(q). -q**2/3 Let u = -56 + 62. Let m(y) be the second derivative of 0 + 1/10*y**u + 1/4*y**4 + 0*y**3 + 0*y**2 - 3/10*y**5 - 3*y. Factor m(b). 3*b**2*(b - 1)**2 Let i(u) be the first derivative of 0*u**3 + 0*u**2 + 2 + 0*u + 2/25*u**5 + 0*u**4. Factor i(v). 2*v**4/5 Let -4/3*d + 0*d**2 + 4/3*d**3 - 2/3*d**4 + 2/3 = 0. What is d? -1, 1 Let y be (1/(-8))/(3/(-12)). Let t(l) be the second derivative of -1/15*l**6 + 3/20*l**5 + 0 + 1/12*l**4 + y*l**2 - l - 1/2*l**3. Factor t(p). -(p - 1)**2*(p + 1)*(2*p - 1) Let a(o) be the first derivative of 18*o - 8 + 6*o**2 + 2/3*o**3. Suppose a(w) = 0. What is w? -3 Let h(r) be the third derivative of r**7/420 - r**6/80 + r**5/60 + 5*r**2. Suppose h(k) = 0. What is k? 0, 1, 2 Let f(r) = r - 5. Let j be f(7). Suppose -4*t = 2*c - 20, 5*t + c = j*c + 25. Factor -4*p - p**4 - 6*p**2 + 2 - t*p**3 + p**3 - 3. -(p + 1)**4 Let o(v) be the first derivative of -4*v**5/15 + v**4/3 + 36. Suppose o(x) = 0. Calculate x. 0, 1 Let c be ((-1)/4)/((-872)/2520). Let s = c - -3/109. Factor -1/4*q**3 - 3/4*q**2 - 1/4 - s*q. -(q + 1)**3/4 Let m = -20 - -20. Let v(b) be the second derivative of -1/12*b**4 + m + 1/6*b**3 + 0*b**2 + 2*b. Factor v(r). -r*(r - 1) Suppose -b - 3*b = 3*z - 3, 12 = -4*z. Suppose -b*t - 2*i - 2 = 0, t = 3*i - 2*i + 1. Determine g, given that t - 1/2*g**2 + g = 0. 0, 2 Let d(j) be the second derivative of j**5/50 + 2*j**4/15 + 4*j**3/15 - j. Factor d(c). 2*c*(c + 2)**2/5 Let z be 80/8*4/5. Let n be 105/4 + (-2)/z. Factor -60*v**3 + 12*v**2 + n*v**5 + v**5 + 18*v**4 + 12*v**2. 3*v**2*(v + 2)*(3*v - 2)**2 Let q(a) be the third derivative of -a**6/840 - a**5/35 + a**4/168 + 2*a**3/7 - 28*a**2. Factor q(x). -(x - 1)*(x + 1)*(x + 12)/7 Factor -16*r**3 + 45*r + 25*r**3 + 16*r**3 + 60*r**2 + 6 + 4. 5*(r + 1)**2*(5*r + 2) Suppose 4*p - 14 + 6 = 0. Suppose o + o**4 - 3*o**3 - p*o + 0*o + 3*o**2 = 0. What is o? 0, 1 Let l(v) = -2*v - 10. Let w be l(-7). Suppose 0 = w*p - 0*p. Determine a so that 0*a**4 + 0 + 0*a**2 - 2/5*a**5 + p*a + 2/5*a**3 = 0. -1, 0, 1 Suppose 5*q + 5*o + 10 = 0, -2 = -4*q + q - o. What is s in 3*s**2 - 2*s**4 + s**4 - 3*s**3 + s**5 - 2*s**2 + q*s = 0? -1, 0, 1, 2 Let v(l) be the third derivative of l**7/525 - l**6/100 + l**5/150 + l**4/20 - 2*l**3/15 - l**2 + 2. Factor v(q). 2*(q - 2)*(q - 1)**2*(q + 1)/5 Let w(k) be the second derivative of k**4/72 + k**3/12 + k**2/6 + 21*k. Let w(h) = 0. Calculate h. -2, -1 Factor u**5 + 2*u**5 - 5*u**5 + 0*u**4 + 2*u**4. -2*u**4*(u - 1) Let y(x) = -6*x**3 + 2*x**2 - 1. Let t be y(1). Let r = -2 - t. Find p such that -p**2 - p**2 - 3*p**r + 5*p**2 = 0. 0, 1 Let y(c) be the first derivative of c**4/18 + 2*c**3/9 + 2*c**2/9 - 12. Determine f so that y(f) = 0. -2, -1, 0 Let q(h) be the third derivative of h**6/120 - h**5/15 + h**4/6 + 37*h**2. Factor q(w). w*(w - 2)**2 Let v(j) be the second derivative of 5*j**4/9 + 5*j**3/6 - 5*j**2/6 + 9*j. Solve v(c) = 0 for c. -1, 1/4 Let f be 48/40*10/4. Factor -9 - f - 11*a**2 - 46*a - 3*a**2 + 0. -2*(a + 3)*(7*a + 2) Let g(d) be the second derivative of -d**8/6720 + d**6/720 + d**4/6 + 3*d. Let m(q) be the third derivative of g(q). Factor m(j). -j*(j - 1)*(j + 1) Let g(l) be the third derivative of l**6/540 + l**3/3 - 3*l**2. Let y(h) be the first derivative of g(h). Factor y(n). 2*n**2/3 Let r = -370 + 3703/10. Let w(c) be the first derivative of -r*c**2 + 3/20*c**4 + 1 - 3/5*c + 1/5*c**3. Let w(p) = 0. Calculate p. -1, 1 Let j(x) be the second derivative of 28/15*x**6 + x + 0 - x**3 - 2*x**2 + 57/10*x**5 + 14/3*x**4. Let j(h) = 0. What is h? -1, -2/7, 1/4 Let k be (-21)/2*(-1)/7. Factor 3/2*o**4 + 0 - k*o**3 - 1/2*o**5 + 0*o + 1/2*o**2. -o**2*(o - 1)**3/2 Let s(i) be the third derivative of -i**6/1440 + i**5/120 - i**4/32 - 5*i**3/6 + 2*i**2. Let r(w) be the f
{ "pile_set_name": "DM Mathematics" }
.6 + 0.4. Let a = q - 1.9. Let c = -21 - -24. Put a, 0, c in descending order. c, a, 0 Let a = 114 + -112. Let f = 3.715 - 0.015. Let q = f - 4. Put a, q, -3 in decreasing order. a, q, -3 Let n = -22 - -11. Sort n, 5, 2 in decreasing order. 5, 2, n Let b = -9 - -5. Let n = 9 + b. Let x = 0.43 - 0.03. Sort 2, n, x in decreasing order. n, 2, x Let d = 30 + -27. Let x(j) = j. Let l be x(-4). Sort -1, d, l in increasing order. l, -1, d Let w = 11 - 7. Suppose 4*c = 2*c - 2. Sort w, c, 1 in ascending order. c, 1, w Suppose 0 = 3*n - 15, 0*n = -2*q + 2*n. Suppose q - 1 = -4*h. Suppose 1 = -5*d + 4*d + c, -3*c = -5*d - 9. Sort h, d, 3 in descending order. 3, h, d Suppose 0 = 3*f + 3*h, -5*f + 0*h + 12 = -h. Put f, 3, 0 in descending order. 3, f, 0 Let j = -21 + 18. Sort 0, -5, 2, j in increasing order. -5, j, 0, 2 Let r = 13.1 + -13. Put -3/7, r, 2/19 in decreasing order. 2/19, r, -3/7 Let g be (((-4)/8)/1)/((-2)/(-16)). Sort 0, g, 3 in descending order. 3, 0, g Suppose -4*o = 4*k - 6*o - 20, o + 3 = k. Let t = k - 5. Suppose -3*j = t - 8. Sort -4, -1, j. -4, -1, j Let o = -534/7 + 76. Let y = 45 - 21. Let i = -28 + y. Put 0, i, o in decreasing order. 0, o, i Let o be 3*(-11 + 0) + 0. Let c be 1/3 + o/(-9). Let t = -0.4 - -0.2. Put 0.4, t, c in increasing order. t, 0.4, c Let s be (2/4)/((-2)/(-16)). Let b = -26 - -27. Put -0.2, b, s in increasing order. -0.2, b, s Let a = 3 + -3. Suppose a = n + 2*n - 15. Suppose -u - 3*u = 0. Sort n, 2, u in descending order. n, 2, u Let q be 4/66*3*-1. Let o be (-7 - -2) + (0 - 0). Let c be (15/95)/(9/(-6)). Put o, c, q in increasing order. o, q, c Suppose -4*l + 5 + 11 = 0. Put 3, l, -5 in descending order. l, 3, -5 Suppose 0 = 6*m - 14 + 26. Let t = 0 + 2. Put 2/3, m, t in increasing order. m, 2/3, t Suppose -5*k + 30 = 5*r, 0*k - 3*k + r + 10 = 0. Sort 2, k, 1 in descending order. k, 2, 1 Let t = -9.34 - -9. Let p = t - 0.06. Sort p, -0.1, 0.1 in descending order. 0.1, -0.1, p Let b = -1 + 5. Sort 0.2, 0.3, b. 0.2, 0.3, b Suppose f + 4*f = 20. Let w = -2.1 + 2. Let r = 0 - w. Sort -0.1, f, r in descending order. f, r, -0.1 Let n(y) = -y**2 + y + 5. Let p be n(0). Sort -2, -1, p, -5 in increasing order. -5, -2, -1, p Let u be ((-8)/(-12)*1)/((-5)/15). Suppose -2*r = -5*l, 3*l + 19 = 5*l + 3*r. Suppose 3*t - l*b = -t - 8, 4*t - 3*b = -12. Sort t, u, 4 in increasing order. u, t, 4 Let l = -88 - -355/4. Let p = 76 - 377/5. Put l, -0.1, p in descending order. l, p, -0.1 Let c = 2 + -1.9. Let w = -0.6 + c. Let v be 1/1 + 16/4. Put v, w, 1/2 in descending order. v, 1/2, w Let r(o) = 3*o - 6. Let j be r(4). Let z = -3 + j. Suppose -9 = -3*q + 4*b + 7, 2*b = z*q - 14. Sort -1, q, 2 in descending order. q, 2, -1 Let j = -15 + 24. Let f = 5 - j. Let o = -3.07 - -0.07. Sort o, 0, f. f, o, 0 Let k = 0.05 - 0.45. Let w = 84.3 - 84. Sort k, w, -1 in descending order. w, k, -1 Let a be ((-1)/(-3))/(1/6). Let q(f) = 3*f + 5. Let z be q(-3). Sort a, -2, z in descending order. a, -2, z Let p(o) = -4*o**2 + 2*o - 1. Let n be p(1). Let s(h) = h**2 + 13*h + 42. Let c be s(-8). Sort n, c, 4. n, c, 4 Let b = 4 - 3. Sort -3, b, -0.3 in descending order. b, -0.3, -3 Let k = -7 - -7. Let v = 0.6 + -3.6. Sort -1, v, k in descending order. k, -1, v Let w(t) = 3*t + 3. Let h be w(-2). Let q be (-62)/10*107/h. Let g = q - 221. Put g, 3/7, -0.1 in decreasing order. 3/7, g, -0.1 Let i be (5/(-15))/(8/(-30)). Let r = -3/4 + i. Sort 5, r, 0.04 in decreasing order. 5, r, 0.04 Suppose 0*s + s = -1. Suppose -2*h + 20 = 3*f, -h + 0*h + f = 0. Put 0, h, s in decreasing order. h, 0, s Let b = -4 - -2.6. Let g = b + -0.6. Let j = -0.2 + -0.3. Put g, -3/2, j in ascending order. g, -3/2, j Suppose 0 = -3*a + 4*i + 44, 0*a + 2*a - 5*i = 34. Suppose 5*j + a = 2*j. Let n be (-9)/(-7) + j/14. Sort -3, n, -2. -3, -2, n Let c = 0.03 + 0.43. Let l = 103 - 102.94. Let m = l - c. Sort m, -5, 3/4 in ascending order. -5, m, 3/4 Suppose v + 15 = 6*v. Let q = 4 + -2. Suppose -q*h + 5*a + 3 = 0, 4*a = -0 - 4. Sort h, 2, v in descending order. v, 2, h Let c(a) = a**2 - 7*a + 4. Let m be c(6). Suppose y = -y. Sort y, m, 2 in increasing order. m, y, 2 Let b = -2/15 - -7/15. Let t be 144/(-135)*(-3)/4. Put t, b, 2/15 in decreasing order. t, b, 2/15 Let k(i) = -69*i + 1. Let r be k(-3). Let f be (-46)/r + (-8)/52. Put -0.5, -2/11, f in ascending order. -0.5, f, -2/11 Let n(a) = -7*a + 3. Let f be n(6). Let h be (-3 - -4)*354/(-9). Let r = h - f. Sort r, -2/7, -3/4 in decreasing order. -2/7, r, -3/4 Suppose 5*d + 3*r - 43 = 4, d = -3*r + 19. Let w = d + 0. Suppose -3*b - z - 13 = w, 3*z + 35 = -4*b. Sort 5, b, -2 in ascending order. b, -2, 5 Let j(x) = -3*x - 1. Let u be j(-1). Let r be (u*1)/((-88)/(-4)). Let d be ((-2)/4)/(14/(-8)). Put 4, r, d in descending order. 4, d, r Let s be 14/4*(-6 - 0). Let p be 1/2 + s/6. Sort -0.1, p, -2/3 in descending order. -0.1, -2/3, p Let t = 185/3 + -61. Sort -1/7, t, 0.1 in descending order. t, 0.1, -1/7 Let u = 1 - 0.7. Let v be (-26)/88 + (-1)/4. Sort u, -5, v in descending order. u, v, -5 Let a(i) = i - 1. Let b be a(-6). Sort -1, -2, b, -3 in ascending order. b, -3, -2, -1 Let r be 120/75*3/(-4). Let y(a) = -a**3 + 4*a**2 - 4*a. Let v be y(3). Put r, v, -0.4 in descending order. -0.4, r, v Suppose -6*j = -2*c - j + 23, 0 = j + 1. Suppose y = c - 1. Suppose l + u = y, -22 = 4*l - 8*l - 2*u. Sort 5, l, -5 in decreasing order. 5, l, -5 Let c = 0.01 + -3.01. Let n = -7 - -6.4. Let t = 0.9 + n. Put 2/9, c, t in ascending order. c, 2/9, t Suppose 0 = -5*o + o. Put -4, -40, o, -1 in increasing order. -40, -4, -1, o Suppose 2*j = 6*j + 4*s - 8, 2 = j + 3*s. Put -6, j, -3 in descending order. j, -3, -6 Let q = 5.8 + -6. Put q, 0, 0.5 in increasing order. q, 0, 0.5 Suppose -q - 3*u = -4*q - 9, 3*q = 4*u - 14. Suppose m - 6 = -2*y - 0*y, 2*m + 18 = q*y. Put y, 0, -4 in decreasing order. y, 0, -4 Let p(m) = -m**3 - 4*m**2 + 5*m + 5. Let d = -5 - -9. Suppose 0 = -5*z, -d*z + 0 = -3*i - 15. Let a be p(i). Put -3, a, -5 in ascending order. -5, -3, a Suppose n - 3 = 0, 2*s + 0*n = -n + 19. Let r be (s/42)/((-2)/3). Sort r, -0.5, 4. -0.5, r, 4 Suppose -o = 5*o + 24. Sort -3, -2, 2, o in increasing order. o, -3, -2, 2 Let o(g) = g**2 + 6*g + 7. Let i be o(-4). Sort 0, i, 1. i, 0, 1 Suppose 35 = 14*h - 9*h. Let b(g) = g - 8. Let r be b(h). Sort r, -2, 4 in ascending order. -2, r, 4 Let f = 2 + -2.2. Let m = -27.83 + -0.17. Let h = m + 27. Sort h, 2, f. h, f, 2 Let w be (-16)/(-7) + (-12)/42. Let r be (-1)/(w/(-6))*-1. Sort 3, 5, r in decreasing order. 5, 3, r Let a(m) = -5*m**2 + 3*m**2 + m**3 + 2 - 7*m - 4*m**2 - m. Let g be a(7). Put -1, g, 4 in descending order. 4, -1, g Let l = 0 + 0. Suppose 2*r - 20 = 4*a, 0 = -0*a + 5*a + 15. Put l, -5, r in decreasing order. r, l, -5 Suppose -m = -5*t - 29, -3*t + 0*t - 11 = m. Let o = 28 + -27.6. Sort t, 3/4, o in decreasing order. 3/4, o, t Let g(p) = -14*p - 2. Let z be g(1). Suppose 6*a = 5*a + 22. Let d be a/(-8) - (-4)/z. Sort -4, d, -1 in increasing order. -4, d, -1 Let d(u) = u**2 + 4*u + 1. Let v be d(-4). Put 3, v, -5 in ascending order. -5, v, 3 Let w(z) = z - 10. Let a be w(6). Suppose 0 = -3*p + r + 10, 5*p + 6*r - 2*r = 11. Put -2, a, p in increasing order. a, -2, p Let q = 13 - 14.2. Let y = 1.3 + q. Sort -4/5, -1, y in descending order. y, -4/5, -1 Suppose 0 = 8*j - 7*j - 1. Sort 8, -5, j in decreasing order. 8, j, -5 Let n = -16 - -18. Sort n, -7, 4 in descending order. 4, n, -7 Let z(b) = -b**2 - 3*b + 5. Let l be z(-5). Let f = 9.4 - 9. Let w = 0.02 + 0.08. Sort w, f, l in ascending order. l, w, f Let p = 8.3 + -8. Let f be ((-10)/6)/((-1)/6). Let x be (12/f)/(-2) - -1. Put -2/13, x, p in increasing order. -2/13, p, x Let g(a) = a**3 + 6*a**2 + 8*a + 12. Let z be g(-5). Let k be (-2 - (-4)/3)*-3. Put k, z, -1/4 in decreasing order. k, -1/4, z Suppose 0 = -9*k + 4*k + 70. Suppose -2 - k = -4*y. Let s(a) = -a - 1. Let m be s(-1). Sort m, y, -3. -3, m, y Let g(d) = d**2 - d - 3. Let n be g(3). Let y = 4 - n. Let s(h) = h**3 + 5*h**2 + 5*h + 3. Let t be s(-4). Put -4, y, t in descending order. y, t, -4 Let j be -17 + 3 + -5 + -1. Let o be (1 - -5)/(30/j). Let m be (-22)/(-18) - 4/18. Sort -2, m, o in descending order. m, -2, o Let u(a) = a**2 + 15*a + 43. Let p be u(-11). Sort 0, p, -4, -2
{ "pile_set_name": "DM Mathematics" }
60, 2254, 2246, 2236, 2224, 2210? -b**2 - b + 2266 What is the a'th term of 210, 687, 1132, 1533, 1878? -2*a**3 - 4*a**2 + 503*a - 287 What is the x'th term of 954, 1028, 1102, 1170, 1226, 1264, 1278, 1262? -x**3 + 6*x**2 + 63*x + 886 What is the s'th term of 475, 458, 451, 460, 491, 550, 643, 776? s**3 - s**2 - 21*s + 496 What is the i'th term of 83950, 83963, 83974, 83983, 83990, 83995? -i**2 + 16*i + 83935 What is the c'th term of -410916, -821834, -1232752? -410918*c + 2 What is the f'th term of 15950, 15806, 15558, 15200, 14726, 14130, 13406, 12548? -f**3 - 46*f**2 + f + 15996 What is the o'th term of -332043, -332046, -332049, -332052, -332055? -3*o - 332040 What is the j'th term of 2551, 2568, 2579, 2578, 2559? -j**3 + 3*j**2 + 15*j + 2534 What is the b'th term of -346, -434, -596, -868, -1286? -6*b**3 - b**2 - 43*b - 296 What is the y'th term of 315, 190, 11, -222, -509? -27*y**2 - 44*y + 386 What is the u'th term of 29, 151, 449, 1001, 1885, 3179, 4961, 7309? 13*u**3 + 10*u**2 + u + 5 What is the a'th term of -28445, -113835, -256151, -455393, -711561, -1024655, -1394675? -28463*a**2 - a + 19 What is the i'th term of -3408, -3380, -3328, -3246, -3128, -2968, -2760, -2498? i**3 + 6*i**2 + 3*i - 3418 What is the b'th term of -2117, -2141, -2139, -2099, -2009? 2*b**3 + b**2 - 41*b - 2079 What is the u'th term of -1958, -1974, -1992, -2006, -2010, -1998, -1964? u**3 - 7*u**2 - 2*u - 1950 What is the i'th term of -35680, -35681, -35682, -35683? -i - 35679 What is the d'th term of -196, -718, -1588, -2806, -4372, -6286, -8548? -174*d**2 - 22 What is the t'th term of -1399, -1392, -1385? 7*t - 1406 What is the j'th term of -202950, -202964, -202978, -202992? -14*j - 202936 What is the z'th term of 1763, 7045, 15845, 28163, 43999, 63353, 86225? 1759*z**2 + 5*z - 1 What is the n'th term of -676, -5461, -18440, -43711, -85372, -147521? -683*n**3 + n**2 - 7*n + 13 What is the y'th term of 1982, 3937, 5820, 7595, 9226, 10677, 11912, 12895? -6*y**3 + 1997*y - 9 What is the d'th term of 4811, 9640, 14469, 19298, 24127, 28956? 4829*d - 18 What is the j'th term of -3095, -12352, -27781, -49382, -77155, -111100? -3086*j**2 + j - 10 What is the p'th term of -1657, -1646, -1645, -1660, -1697, -1762, -1861, -2000? -p**3 + p**2 + 15*p - 1672 What is the t'th term of 84, 149, 206, 255, 296? -4*t**2 + 77*t + 11 What is the m'th term of 23121, 23055, 22879, 22539, 21981, 21151, 19995? -9*m**3 - m**2 + 23131 What is the r'th term of -769, -941, -1115, -1291, -1469, -1649, -1831? -r**2 - 169*r - 599 What is the a'th term of 171, 305, 427, 537, 635? -6*a**2 + 152*a + 25 What is the j'th term of 6379, 6392, 6405, 6418? 13*j + 6366 What is the c'th term of -139, -241, -301, -319, -295, -229, -121? 21*c**2 - 165*c + 5 What is the y'th term of -74814, -149624, -224432, -299238? y**2 - 74813*y - 2 What is the z'th term of 1091, 4387, 9889, 17603, 27535, 39691? z**3 + 1097*z**2 - 2*z - 5 What is the l'th term of -1337, -2665, -3995, -5327, -6661, -7997, -9335? -l**2 - 1325*l - 11 What is the q'th term of -13670, -54730, -123178, -219026, -342286, -492970, -671090, -876658? -2*q**3 - 13682*q**2 + 14 What is the v'th term of -3175, -3495, -4027, -4771? -106*v**2 - 2*v - 3067 What is the l'th term of 190, 1542, 5210, 12352, 24126, 41690, 66202, 98820? 193*l**3 + l - 4 What is the w'th term of 6310, 12627, 18944, 25261? 6317*w - 7 What is the r'th term of 29353, 58816, 88279, 117742? 29463*r - 110 What is the l'th term of 3545324, 3545325, 3545326, 3545327, 3545328? l + 3545323 What is the h'th term of 2061, 2084, 2107? 23*h + 2038 What is the q'th term of -1505, -1180, -637, 124, 1103, 2300, 3715? 109*q**2 - 2*q - 1612 What is the l'th term of 10, -28, -118, -284, -550, -940? -4*l**3 - 2*l**2 - 4*l + 20 What is the u'th term of 26110, 52219, 78328, 104437, 130546? 26109*u + 1 What is the t'th term of -276, -836, -1400, -1968? -2*t**2 - 554*t + 280 What is the b'th term of -33806, -135220, -304244, -540878, -845122? -33805*b**2 + b - 2 What is the g'th term of -580, -1080, -1580, -2080, -2580? -500*g - 80 What is the z'th term of -12, 30, 64, 60, -12, -182? -5*z**3 + 26*z**2 - z - 32 What is the w'th term of -455, -370, -149, 274, 965, 1990, 3415? 11*w**3 + 2*w**2 + 2*w - 470 What is the n'th term of 201, 51, -207, -579, -1071? -n**3 - 48*n**2 + n + 249 What is the x'th term of -3, -22, -57, -108? -8*x**2 + 5*x What is the m'th term of 1376, 2688, 4002, 5318, 6636? m**2 + 1309*m + 66 What is the q'th term of 9351, 9350, 9349, 9348, 9347, 9346? -q + 9352 What is the o'th term of -14164, -14143, -14116, -14083? 3*o**2 + 12*o - 14179 What is the x'th term of 8711, 34942, 78659, 139862, 218551, 314726, 428387? 8743*x**2 + 2*x - 34 What is the u'th term of -366, -1741, -4138, -7563, -12022, -17521, -24066? -u**3 - 505*u**2 + 147*u - 7 What is the o'th term of -161, -286, -615, -1250, -2293, -3846, -6011, -8890? -17*o**3 - 6*o - 138 What is the p'th term of 503, 500, 505, 524, 563? p**3 - 2*p**2 - 4*p + 508 What is the p'th term of 4495, 4435, 4329, 4171, 3955, 3675, 3325? -p**3 - 17*p**2 - 2*p + 4515 What is the h'th term of 265, 555, 889, 1291, 1785, 2395, 3145? 4*h**3 - 2*h**2 + 268*h - 5 What is the d'th term of -3707, -3708, -3709, -3710, -3711? -d - 3706 What is the a'th term of 61645, 123303, 184963, 246625, 308289, 369955? a**2 + 61655*a - 11 What is the j'th term of -103, -108, -171, -322, -591, -1008? -5*j**3 + j**2 + 27*j - 126 What is the t'th term of 31426, 62919, 94412, 125905, 157398? 31493*t - 67 What is the y'th term of -535, -539, -543? -4*y - 531 What is the h'th term of -18246, -18241, -18236, -18231, -18226, -18221? 5*h - 18251 What is the h'th term of -209, -1235, -2951, -5363, -8477, -12299? -h**3 - 339*h**2 - 2*h + 133 What is the l'th term of 41, 289, 913, 2093, 4009, 6841? 30*l**3 + 8*l**2 + 14*l - 11 What is the c'th term of -165, 118, 401, 684, 967? 283*c - 448 What is the k'th term of -86697, -86703, -86709, -86715, -86721? -6*k - 86691 What is the z'th term of -216, -1019, -2410, -4389, -6956, -10111, -13854? -294*z**2 + 79*z - 1 What is the z'th term of -1528, -1513, -1498, -1483, -1468? 15*z - 1543 What is the p'th term of -2486, -9895, -22240, -39515, -61714, -88831, -120860, -157795? p**3 - 2474*p**2 + 6*p - 19 What is the d'th term of -296063, -296060, -296057, -296054, -296051? 3*d - 296066 What is the t'th term of -31, -292, -923, -2110, -4039, -6896, -10867, -16138? -31*t**3 + t**2 - 47*t + 46 What is the x'th term of 1364, 2740, 4120, 5504, 6892? 2*x**2 + 1370*x - 8 What is the c'th term of -32, 75, 182, 289, 396, 503? 107*c - 139 What is the c'th term of 2014, 8070, 18162, 32290, 50454, 72654? 2018*c**2 + 2*c - 6 What is the p'th term of -2636, -10557, -23762, -42251? -2642*p**2 + 5*p + 1 What is the v'th term of -741546, -1483087, -2224624, -2966157? 2*v**2 - 741547*v - 1 What is the k'th term of -2495, -4993, -7499, -10013, -12535? -4*k**2 - 2486*k - 5 What is the i'th term of 5863, 11724, 17587, 23452? i**2 + 5858*i + 4 What is the q'th term of -1893, -3779, -5667, -7557, -9449, -11343, -13239? -q**2 - 1883*q - 9 What is the h'th term of -47, -367, -1229, -2903, -5659, -9767? -45*h**3 - h**2 - 2*h + 1 What is the b'th term of -214, -341, -388, -355, -242? 40*b**2 - 247*b - 7 What is the p'th term of -581, -574, -541, -470, -349, -166, 91? 2*p**3 + p**2 - 10*p - 574 What is the g'th term of 77709, 77692, 77665, 77628? -5*g**2 - 2*g + 77716 What is the f'th term of 868, 3455, 7766, 13801, 21560? 862*f**2 + f + 5 What is the n'th term of 436, 798, 1164, 1534, 1908, 2286? 2*n**2 + 356*n + 78 What is the b'th term of -56, 23, 100, 175, 248, 319, 388? -b**2 + 82*b - 137 What is the m'th term of 253, 1785, 5935, 14011, 27321, 47173? 218*m**3 + m**2 + 3*m + 31 What is the v'th term of 107, 42, -23, -88, -153? -65*v + 172 What is the z'th term of 29, 66, 15, -214, -711, -1566? -15*z**3 + 46*z**2 + 4*z - 6 What is the i'th term of -1894, -1871, -1850, -1831, -1814, -1799, -1786? -i**2 + 26*i - 1919 What is the s'th term of 17305934, 17305925, 17305904, 17305865, 17305802? -s**3 - 2*s + 17305937 What is the o'th term of -27951, -27933, -27919, -27909, -27903? -2*o**2 + 24*o - 27973 What is the u'th term of 4985, 4800, 4615, 4430? -185*u + 5
{ "pile_set_name": "DM Mathematics" }
f) = f**3 - 12*f**2 - 17*f + 15. Let v be j(14). Let q = v + 8. What is the units digit of q? 7 Let r be 25/10 + 6/(-4). Suppose 2*u = -r + 5. What is the units digit of u? 2 Suppose 7*l - 17 - 3532 = 0. What is the hundreds digit of l? 5 Let y(v) = v**3 + 6*v**2 + 6*v - 7. Let u be y(-5). Let k = -10 - u. Suppose -5*b + 4*j = -82, k*b - 13 = j + 18. What is the units digit of b? 4 Suppose -3*o + 188 = -343. Let k = -64 + o. What is the tens digit of k? 1 Let o(c) = -c**2 + 2*c + 105. Let b(f) = -f**2 - 4*f. Let t be b(0). What is the units digit of o(t)? 5 Suppose -6 = p + s, 0*p + 4*s + 16 = 4*p. Let l(n) = -4*n**3 - 3*n**2 + 1. What is the units digit of l(p)? 2 Suppose -12*q + 3*g + 1542 = -7*q, 0 = 5*q - 5*g - 1540. Suppose 14*x = 17*x - q. What is the tens digit of x? 0 Let q(x) = x**2 + 13*x + 14. Let l(c) = c**2 + 8*c + 9. Let t be l(-6). Let i(j) = 1. Let p(y) = t*i(y) - q(y). What is the units digit of p(-7)? 5 Let t(p) = p**2 - 34*p - 5. What is the tens digit of t(38)? 4 Let h(p) = p**3 - 9*p**2 - 14. Let j be h(7). Let m = j - -181. What is the tens digit of m? 6 Suppose -473*l = -485*l + 11700. What is the tens digit of l? 7 Suppose 4*a + 43 = 6*a + x, 0 = -2*a + x + 41. Let o = a - 1. What is the tens digit of o? 2 Let q(x) = -x**3 + 3*x**2 + 4*x - 3. Let o be -1 - ((-20)/(-5) - 4). Let h be (5 + -4)/(o/(-3)). What is the units digit of q(h)? 9 Let l = 10 - 8. Suppose m + l*b + b = 15, 3*b = 0. What is the tens digit of m? 1 Let t = 322 + -135. What is the tens digit of t? 8 Suppose 7*o = 4*o + 1320. What is the units digit of o? 0 Suppose -500 = -8*k + 1604. What is the tens digit of k? 6 Let x = -1 + -1. Let s(n) = 12*n**2 + 2*n + 3. What is the units digit of s(x)? 7 Let d be (-86)/(-5) + 2/(-10). Suppose 0 = 15*z - d*z + 110. What is the units digit of z? 5 Let j = -52 - -776. What is the hundreds digit of j? 7 Suppose 23*v - 65965 = 15662. What is the hundreds digit of v? 5 What is the units digit of (-4)/1 + 5 + 101? 2 Let b = 927 - 464. What is the hundreds digit of b? 4 Suppose -5*f + 85 + 15 = 0. Let u = f + 67. What is the tens digit of u? 8 Let m = -28 + 16. Let d = 12 + m. Suppose d = -0*y + 3*y - 132. What is the units digit of y? 4 Let j = 8 + -8. Suppose j = 4*r - 0*r - 36. Let i = 10 - r. What is the units digit of i? 1 Let k(v) be the second derivative of -10*v**3/3 + v**2/2 - 39*v. What is the tens digit of k(-1)? 2 What is the hundreds digit of (0 - (-698)/6)*3? 3 Let g(h) = 69*h - 23. What is the units digit of g(43)? 4 Let h(k) = -k**2 - 9*k - 11. Let a be h(-12). Let t = 131 + a. What is the units digit of t? 4 Let g = 96 - 32. What is the tens digit of g? 6 Let m = -2 + 7. What is the units digit of (m/(-10))/(309/(-102) + 3)? 7 Let o(n) = n**3 - 10*n**2 - 5*n - 11. Let p be o(10). Let l(a) = -9*a - 4. Let x be l(4). Let i = x - p. What is the units digit of i? 1 Suppose -5*n + 9 - 9 = 0. Let i(m) = -m**2 - 6*m + 98. What is the tens digit of i(n)? 9 Let z(o) be the first derivative of -o**3/3 - 6*o**2 - o - 3. Let l be z(-8). What is the units digit of (0 - 1 - 1) + l? 9 What is the units digit of -2 + 347 + (4 - 6/3)? 7 Let s = 64 + 2. Suppose 0 = -4*b + 16, -2*z - b + s = -5*b. What is the tens digit of z? 4 Let d(f) = 2*f**2 + 10*f + 13. Let t be d(-9). Suppose -434 = 5*j - 4*l - 148, -5*l + 53 = -j. Let x = t + j. What is the tens digit of x? 2 Suppose 2*v = -x + 166, -4*v + 2*x - x + 338 = 0. Suppose 0 = -r + 2, -2*k + 4*r + 28 = v. What is the tens digit of (-1)/(-6) - 404/k? 1 Suppose -14*a + 9*a - 346 = -2*p, 0 = -3*p + a + 519. What is the tens digit of p? 7 Suppose -3*g + 336 - 141 = 0. What is the units digit of g? 5 Suppose 4*w = 5*g - 61 - 29, 3*w - 4*g = -68. Suppose 5*f = -4*i + 1, 3 + 1 = -5*i - f. What is the tens digit of (66/24)/(i/w)? 5 What is the tens digit of (-54175)/(-165) + (-1)/3? 2 Let z be (-178)/(-8) - (-1)/(-4). Suppose 3*j - 4*c - 4 = c, -8 = -j - 5*c. Let b = j + z. What is the tens digit of b? 2 Let g(h) be the first derivative of 7*h**3/3 + h**2/2 - 2*h + 8. Let k be g(1). What is the units digit of (16/24)/(4/k)? 1 Suppose 0 = -0*a - a. Suppose 3*u - 28 - 134 = a. What is the tens digit of u? 5 Let w be ((-4)/4*-4)/2. Suppose -108 - 378 = -5*d - 3*a, -w*d + 2*a + 188 = 0. What is the units digit of d? 6 Let k = -38 + 41. Suppose 0 = 3*d - c - 414, k*c - c + 6 = 0. What is the tens digit of d? 3 Let r(y) = -y**3 + 4*y**2 + 7*y - 4. Let s be r(5). Let d be 122/(-6) - s/9. Let z = d + 27. What is the units digit of z? 6 Let s(o) = -o**3 + 16*o**2 + 28*o - 21. What is the tens digit of s(14)? 6 Let u be (1 + (-9)/6)*0. Suppose 2*h + 0*h - 2*g - 2 = 0, -3*g + 12 = u. Suppose a - 27 = -6*p + p, -5*a + h*p = -45. What is the tens digit of a? 1 Suppose 1 + 5 = -3*c, -218 = -3*h + c. Suppose 3*r + 3*x = h, 19 + 85 = 4*r + 2*x. What is the tens digit of r? 2 Suppose 0*m + 25 = -5*m, -4*m = -3*l + 7826. What is the hundreds digit of l? 6 Let i = 75 - 70. Suppose -2*v = i*t - 413, -3*v - 3*t + 0*t = -624. What is the hundreds digit of v? 2 Let u(x) = x**3 - 7*x**2 - 10*x - 17. Let s be u(9). Suppose -5*m + s = -160. What is the tens digit of m? 4 Suppose -116 = 6*n - 3740. Suppose -3*z - n = -5*x - 4*z, -4*x + 5*z = -460. What is the units digit of x? 0 Let t = -6 - -10. Suppose -3*y + t*o = 2*y - 265, 0 = 3*y + o - 159. What is the units digit of y? 3 What is the tens digit of (48/10)/(1/275)? 2 Let r = 439 + -422. What is the tens digit of r? 1 Suppose -200*v + 194*v = -6762. What is the hundreds digit of v? 1 Suppose -7*b = 27 + 1. Let q(o) = o**3 + 8*o**2 + 4*o - 1. What is the units digit of q(b)? 7 Let s(y) = 6*y + 63. Let f be s(-11). What is the hundreds digit of (174 - 16)/((-2)/f)? 2 Suppose -4*k - 2 = -2*k. Let n be 2 - (4 + k - 5). Suppose 5*r = 4*i - 45, -n*i - 3*r + 3 + 2 = 0. What is the units digit of i? 5 Let s be 15*75/(10 + -5). Suppose 2*c = 421 + s. What is the units digit of c? 3 Suppose -10*d - j - 417 = -11*d, -3*d + 1245 = -5*j. What is the units digit of d? 0 Let x(o) = 6*o**2 + 20*o + 83. What is the tens digit of x(-11)? 8 Let t(y) = -y**3 + 7*y - 1 + 3*y**2 + 2 + 2*y**2. Suppose -96 = 4*w - 20*w. What is the units digit of t(w)? 7 Let o(f) = f**2 + 7*f - 3. Let s be o(-8). Suppose s*y - v = 2*y - 76, 0 = -y + 2*v - 32. What is the tens digit of 3*4/(y/(-46))? 2 What is the thousands digit of -713*1*2*9/(-6)? 2 Suppose 0 = y - q - 9, 3*y - 32 = 2*q + 2*q. Suppose y*b - 760 = -r + 483, -5*b - 4*r + 1540 = 0. What is the units digit of b? 2 Let o = -1014 - -1477. What is the hundreds digit of o? 4 Suppose m + 5 = -3*m - 5*o, 4*o = -4*m. Suppose 2*f + f + r = 20, 20 = -f + m*r. Suppose f*s - 132 = g + 10, 66 = 2*s - 5*g. What is the tens digit of s? 2 Let j be -4 + (0 - -8)/1. Suppose 2*n = -g + 6 + 5, 0 = -j*n - g + 17. Suppose 0 = 2*x + 6, d + n*x - x = 13. What is the tens digit of d? 1 Let w(i) = i + 36. Let d(b) = -b**3 + 3*b**2 - 4. Let u be d(2). What is the tens digit of w(u)? 3 Suppose 5*r - w = 1648 + 520, 0 = -5*r + 5*w + 2180. What is the units digit of r? 3 Suppose -5*q = -3*d + 3543, 4*q + 1730 + 2994 = 4*d. What is the thousands digit of d? 1 Let t(s) = -s**3 - 10*s**2 - s - 6. Suppose 3*i - 20 = 5*i. Let a be t(i). What is the tens digit of (8/(-10))/(a/(-230))? 4 Let o(v) = 2 - v**3 + 5 - v + 9*v**2 + 3. Let k be 4/2*(4 - (-5)/10). What is the units digit of o(k)? 1 Suppose -3*n = -2*c + 2, -n = n - 3*c + 8. Suppose 0 = 2*f - n*d - 482, 0 = 7*f - 3*f - 5*d - 965. What is the hundreds digit of f? 2 Let a(d) = -3*d**2 + 12*d - 8. Let h(t) = t**2 - 4*t + 3. Let f(g) = -3*a(g) - 8*h(g). What is the units digit of f(11)? 7 Suppose 0 = -4*a + 8*l - 7*l + 6353, 4764 = 3*a - l. What is the hundreds digit of a? 5 Suppose d - 963 = 2*v - 3463, 5*v + 4*d = 6276. What is the thousands digit of v? 1 Suppose 30*c = 90805 + 31055. What is the units digit of c? 2 Suppose 2*d + 8 = 0, -3*z = -4*d + 9*d - 4756. What is the units digit of z? 2 Let h be 7/2*(-1 - -3). Let s be -33*((-1)/(-2))/(5/(-10)). Let b = h + s. What is the tens digit of b? 4 Let q = 267 + 612. Suppose -22*y = -25*y + q. What is the hundreds digit of y? 2 What is the hundreds digit of (-9)/6 + 3*(-5036)/(-8)? 8 Suppose c = 4*o - 16, -4*o - c = c - 28. What is the units digit of 39/(
{ "pile_set_name": "DM Mathematics" }
12, 247 Determine s, given that s**2/5 + 11679*s/5 + 35028/5 = 0. -11676, -3 Factor -2*b**2/19 + 10262*b/19 + 8794984/19. -2*(b - 5879)*(b + 748)/19 Determine t, given that -2*t**4 + 5114*t**3 + 20482*t**2 + 15366*t = 0. -3, -1, 0, 2561 Factor 4*c**2 - 88380*c + 40401104. 4*(c - 21628)*(c - 467) Factor 5*n**2/3 + 522095*n/3 + 2610350/3. 5*(n + 5)*(n + 104414)/3 Let -5*p**3 + 10505*p**2 + 181770*p - 3685320 = 0. Calculate p. -29, 12, 2118 Suppose -i**5 + 226*i**4/3 - 1738*i**3 + 11696*i**2 - 39583*i/3 + 3162 = 0. Calculate i. 1/3, 1, 9, 31, 34 Let 4*q**5 - 12276*q**4 - 1268448*q**3 + 2684048*q**2 + 10343616*q = 0. Calculate q. -102, -2, 0, 4, 3169 Suppose t**4/8 - 10847*t**3/4 + 14761296*t**2 - 2347499313*t/4 + 32705476191/8 = 0. What is t? 9, 31, 10827 Factor n**3/6 + 87590*n**2/3 + 7589900725*n/6 - 1201820868875. (n - 930)*(n + 88055)**2/6 Factor -2*j**2 + 35566*j - 151826940. -2*(j - 10665)*(j - 7118) Solve -j**3 - 34715*j**2 - 173508000*j - 235674337500 = 0. -29015, -2850 Suppose 2*s**2/5 - 41472*s - 7882568/5 = 0. What is s? -38, 103718 Solve -2*k**5/3 - 2506*k**4/3 - 9914*k**3/3 + 97514*k**2/3 + 114748*k/3 - 199840/3 = 0 for k. -1249, -8, -2, 1, 5 Factor 5*b**2 + 9856770*b + 4857795741645. 5*(b + 985677)**2 Determine f so that f**4/12 - 55960*f**3/3 + 447664*f**2/3 = 0. 0, 8, 223832 Factor u**2/3 + 191*u + 24750. (u + 198)*(u + 375)/3 Determine b, given that -5*b**5 + 19085*b**4 + 615405*b**3 + 1674315*b**2 = 0. -29, -3, 0, 3849 Solve -2*a**2/3 + 267394060*a/3 - 8937447915410450/3 = 0 for a. 66848515 Find n, given that 5*n**4 + 159460*n**3 + 1682162550*n**2 + 5729392518740*n - 1480734191794355 = 0. -10711, 241 Factor -2*i**3 + 2034*i**2 - 445782*i + 3021494. -2*(i - 703)*(i - 307)*(i - 7) Find x, given that -2*x**2/3 + 4648040*x - 8101603440600 = 0. 3486030 Factor 1802*r**2 + 288325*r + 800. (r + 160)*(1802*r + 5) Find a such that -26*a**4 + 298*a**3 - 626*a**2 + 462*a - 108 = 0. 6/13, 1, 9 Factor g**2/4 - 11972945*g/2 - 23945894. (g - 23945894)*(g + 4)/4 Determine n, given that -2*n**2 + 21777596*n - 59282960942402 = 0. 5444399 Solve 3*z**4 + 21711567*z**3 - 86846304*z**2 + 86846316*z = 0. -7237193, 0, 2 Factor 3*v**2 + 11459667*v + 34378974. 3*(v + 3)*(v + 3819886) Let 78*a**5 - 244509*a**4 + 191462229*a**3 + 243337920*a**2 + 51631104*a = 0. What is a? -1, -7/26, 0, 1568 Solve 75*v**2 - 1663053*v + 66522 = 0 for v. 1/25, 22174 Solve -4*k**2 - 33064788*k + 33064792 = 0 for k. -8266198, 1 Factor b**4/6 - 5852*b**3/3 - 1240626*b**2 - 192203496*b. b*(b - 12316)*(b + 306)**2/6 Find f, given that 12*f**5 - 244*f**4 - 13960*f**3 + 15120*f**2 + 55648*f - 56576 = 0. -26, -2, 1, 2, 136/3 Let -2*x**4 + 292*x**3 - 5750*x**2 - 36300*x = 0. Calculate x. -5, 0, 30, 121 Factor 4*m**2 + 87160*m - 22129164. 4*(m - 251)*(m + 22041) Factor -u**2/2 + 750245*u/2 + 1125372. -(u - 750248)*(u + 3)/2 Suppose -3*j**3 + 789*j**2 + 148275*j - 14293125 = 0. Calculate j. -175, 75, 363 Solve -111147*d**3/4 - 2028432*d**2 + 219*d/4 = 0. -73, 0, 1/37049 Factor -2*w**4/7 - 8430824*w**3/7 - 1692352623348*w**2 - 5548644903237745320*w/7 - 5548633056777812706/7. -2*(w + 1)*(w + 1405137)**3/7 Solve 2*w**4/15 - 6*w**3/5 - 854*w**2/15 + 718*w - 660 = 0 for w. -22, 1, 15 Suppose -1837*b**3 - 78989*b**2 - 514274*b + 560 = 0. What is b? -35, -8, 2/1837 Factor -2*s**2/9 + 9559100*s/9 - 47795450/9. -2*(s - 4779545)*(s - 5)/9 Find p, given that 2*p**3/5 - 414642*p**2/5 + 4298241168*p - 4298158240 = 0. 1, 103660 What is l in 3*l**3 - 804*l**2 + 6180*l + 15600 = 0? -2, 10, 260 Let -237434*x**2 - 10447092*x + 176 = 0. What is x? -44, 2/118717 Determine q, given that -q**4/7 + 1692216*q**3/7 + 4*q**2/7 - 6768864*q/7 = 0. -2, 0, 2, 1692216 Find m such that -2*m**3 + 28656346*m**2 + 28656352*m - 57312696 = 0. -2, 1, 14328174 Find n, given that -n**3/4 + 237*n**2/2 - 4580*n - 226632 = 0. -28, 76, 426 Factor -2*z**3 - 301506*z**2 + 603020*z. -2*z*(z - 2)*(z + 150755) Determine s so that -2*s**3/5 - 552068*s**2/5 - 38100144768*s/5 - 76189248576 = 0. -138012, -10 Find x such that 5*x**5 + 180*x**4 - 1770*x**3 - 11800*x**2 - 17595*x - 7740 = 0. -43, -3, -1, 12 Factor -y**3 + 308576*y**2 - 6788309*y + 37335034. -(y - 308554)*(y - 11)**2 Let -2*c**5 - 991*c**4 + 6533*c**3 + 3514*c**2 = 0. Calculate c. -502, -1/2, 0, 7 Factor q**2 + 435702*q - 435703. (q - 1)*(q + 435703) Factor -3*u**2 + 1239411*u + 34705860. -3*(u - 413165)*(u + 28) Let -4*b**2 + 26461132*b - 26461128 = 0. Calculate b. 1, 6615282 Factor g**4/2 + 82971*g**3/2 + 1720922247*g**2/2 - 5163513507*g/2. g*(g - 3)*(g + 41487)**2/2 Find s such that -2*s**3/7 + 768*s**2/7 - 58486*s/7 + 168600/7 = 0. 3, 100, 281 Let -4*r**5/5 + 3432*r**4/5 + 3635376*r**3/5 + 1452088*r**2 + 725700*r = 0. Calculate r. -615, -1, 0, 1475 Suppose -2*x**4 + 780*x**3 - 19190*x**2 + 94620*x + 272272 = 0. What is x? -2, 11, 17, 364 What is u in -25*u**3 + 20887565*u**2 + 29242630*u + 8355040 = 0? -1, -2/5, 835504 What is l in -4394*l**4/5 - 29599545898*l**3/5 - 13661328252*l**2/5 - 2101742776*l/5 - 21556336 = 0? -6736355, -2/13 Solve -2*l**4 - 2482*l**3 - 825440*l**2 - 30082536*l + 2173469760 = 0 for l. -594, -88, 35 Factor 32895*z**2 - 429595*z + 25480. 5*(z - 13)*(6579*z - 392) Find t such that -2*t**5/15 - 8414*t**4/15 - 8769076*t**3/15 + 169128836*t**2/15 - 187393518*t/5 + 26788614 = 0. -2113, 1, 3, 15 Factor 14*a**2 - 53633332*a + 15323808. 2*(a - 3830952)*(7*a - 2) Let 18*i**5 + 13604*i**4 - 57942*i**3 - 138384*i**2 - 48616*i + 18240 = 0. Calculate i. -760, -1, 2/9, 6 Find j such that -4*j**2/7 + 72*j/7 + 1547212/7 = 0. -613, 631 Factor -2*g**3/3 - 21874*g**2/3 + 59456354*g/3 - 36417418478/3. -2*(g - 1171)**2*(g + 13279)/3 What is t in -5*t**4 + 23614545*t**3 - 70843605*t**2 + 70843595*t - 23614530 = 0? 1, 4722906 Find x such that -4*x**4 - 607040*x**3 - 23032311648*x**2 - 92121962240*x - 92119534144 = 0. -75878, -2 Factor 4*i**2/9 - 33726874*i/9 + 16863436/9. 2*(i - 8431718)*(2*i - 1)/9 Determine o, given that o**4/3 + 123*o**3 + 3026*o**2/3 - 25992*o - 112320 = 0. -360, -18, -4, 13 Factor j**2 - 827*j + 75192. (j - 723)*(j - 104) Determine s so that -3*s**5/8 - 4627*s**4/8 - 266425*s**3/8 - 3635513*s**2/8 - 251711*s/2 + 591717/2 = 0. -1483, -38, -21, -1, 2/3 Factor o**2 - 919587*o + 5517486. (o - 919581)*(o - 6) Factor -3*p**2/7 - 328890*p/7 + 13489533/7. -3*(p - 41)*(p + 109671)/7 Factor -2*r**2/11 + 4697956*r/11 - 2758848822242/11. -2*(r - 1174489)**2/11 Factor g**2/4 - 31889617*g + 1016947672406689. (g - 63779234)**2/4 Determine g, given that -134*g**2 - 1886*g + 4128 = 0. -16, 129/67 Find x, given that 3*x**4/5 + 381*x**3/5 + 8874*x**2/5 + 13296*x/5 - 65184/5 = 0. -97, -28, -4, 2 Let 3*z**3 - 321*z**2 - 82764*z - 484380 = 0. Calculate z. -117, -6, 230 Determine p, given that 2*p**3/9 + 8*p**2 - 88442*p/9 - 925680 = 0. -135, -133, 232 Determine v so that -755*v**3 - 675600*v**2 - 1236555*v + 223250 = 0. -893, -2, 25/151 Solve -3*k**5 - 70293*k**4 - 562023*k**3 + 3021897*k**2 + 7729590*k = 0. -23423, -11, -2, 0, 5 Find o, given that -o**2/5 + 15301831*o/5 + 15301832/5 = 0. -1, 15301832 Factor -2*c**3 + 52*c**2 + 12166*c - 492024. -2*(c - 57)*(c - 52)*(c + 83) What is k in -4177936*k**3 - 58282616*k**2 - 170987289*k + 233447841 = 0? -15279/2044, 1 Suppose 11*m**3/4 - 17151*m**2/4 - 25020*m - 31300 = 0. What is m? -4, -20/11, 1565 Suppose 2*k**4 - 76*k**3 - 1398726*k**2 + 470305440*k - 935015400 = 0. What is k? -954, 2, 495 What is z in 320*z**5 + 348400*z**4 + 125166965*z**3 + 14793489045*z**2 - 3704242185*z + 231637455 = 0? -399, -291, 1/8 Factor -4*a**2 + 379962416*a - 9023214848284816. -4*(a - 47495302)**2 Determine i, given that -2*i**3/21 + 3096094*i**2/21 + 37153352*i/21 + 99075776/21 = 0. -8, -4, 1548059 Factor 1195*k**3 - 19545*k**2 + 83280*k - 27200. 5*(k - 8)**2*(239*k - 85) Factor n**3/5 - 12153*n**2/5 + 80010*n - 218160. (n - 12120)*(n - 30)*(n - 3)/5 Factor 3*y**3/4 - 29979*y**2/4 + 59919*y - 89865. 3*(y - 9985)*(y - 6)*(y - 2)/4 Solve 7*x**2/4 - 332117*x + 189781/4 = 0. 1/7, 189781 What is w in -124*w**4/5 + 53300156*w**3/5 + 108320052*w**2/5 + 11347828*w + 1719368/5 = 0? -1, -1/31, 429842 Suppose -4*z**3/5 + 149416*z**2/5 + 209228*z - 1195552/5 = 0. What is z? -8, 1, 37361 Factor i**2 - 2005699*i + 2005698. (i - 2005698)*(i - 1) Determin
{ "pile_set_name": "DM Mathematics" }
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-1296 What is next in 2464, 4822, 7180, 9538, 11896, 14254? 16612 What comes next: 14, 129, 360, 731, 1266, 1989? 2924 What comes next: -169, -538, -1133, -1954, -3001, -4274, -5773? -7498 What is the next term in -306, -319, -332, -345, -358? -371 What comes next: -49030, -98067, -147104, -196141, -245178? -294215 What comes next: -14471, -14475, -14479, -14483, -14487, -14491? -14495 What is the next term in -131, -163, -217, -293, -391, -511, -653? -817 What is next in -978, -1881, -2792, -3717, -4662, -5633? -6636 What is next in 117165, 117164, 117163, 117162? 117161 What comes next: -231, -840, -1859, -3282, -5103, -7316? -9915 What is next in -388, -1374, -3018, -5320, -8280? -11898 What is next in -186083, -186084, -186085? -186086 What is next in -1074, -1909, -2744, -3579? -4414 What is the next term in -2111, -4098, -6077, -8042, -9987? -11906 What comes next: 2991, 2993, 2997, 3003, 3011? 3021 What comes next: -1600, -1566, -1540, -1522, -1512? -1510 What comes next: 39, 197, 471, 861, 1367? 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{ "pile_set_name": "DM Mathematics" }
*i - 3*z - 4, 2*i + 5*z = 4 - 28. Let c(m) = -10*m + 42. Let g be c(11). What is the units digit of g/(-4 + i/(-1))? 4 Suppose -2*r + 48 - 10 = -o, -4*o - 98 = -5*r. Let z(j) = j - 6. Let t be z(r). Let d = t - 5. What is the units digit of d? 7 Let n be (18 + -19)/((-2)/(-46)). Let q = n + 24. What is the units digit of q? 1 Let p(t) = -35*t - 142. What is the hundreds digit of p(-15)? 3 Let c be (15/(-9) - -1)/((-10)/45). Suppose -c*w = -27 - 27. What is the tens digit of w? 1 Let x = 42 + -70. Let t = x - -53. What is the units digit of t? 5 Let f = -3 - -1. Let j = -12 - -11. What is the units digit of f/(((-4)/j)/(-4))? 2 Let h = -725 + 1306. What is the hundreds digit of h? 5 Let s(i) = -229*i + 285. What is the tens digit of s(-8)? 1 Let s be ((-30)/(-8))/(12/160). Suppose 3*b + 94 = 5*i - 66, 4*b = 2*i - s. What is the tens digit of i? 3 What is the units digit of (-79)/((-340)/(-38) + -9)? 1 Suppose 4*d - 2*u = 2, 2*d + u = 5*d - 3. Let s = 90 + -52. Suppose 5*z = -4*j + s, -d*z = 5*j - z - 37. What is the units digit of j? 7 Let x(p) = 3*p + 9. Let g(z) = z - 16. Let w be g(11). Let o be x(w). Let k = 5 - o. What is the tens digit of k? 1 Let x = 276 - 103. Suppose -2*i = 41 - x. What is the tens digit of i? 6 Let h be (-1)/(-4) - (-568)/32. Let g = h - 15. Suppose 4*j - g*j = -2*p + 20, 5*j - 4*p - 100 = 0. What is the tens digit of j? 2 Let p be (-304)/(-6) + (-28)/42. Suppose p - 6 = -4*l. Let x = l - -15. What is the units digit of x? 4 Let t be (-5)/(-2) - (20/8 + -3). Suppose 9 = -x - 4*k + t, 3*x - 10 = -5*k. What is the units digit of x? 0 Suppose -3*d = -x + 1022, x + 4*d + d = 982. What is the units digit of x? 7 Let i be (88/14 - 1) + (-14)/49. Let y(x) = 39*x - 15. What is the tens digit of y(i)? 8 Suppose 50371 = 46*b - 29*b. What is the hundreds digit of b? 9 Let s = 7 - 4. Suppose b + s = g, -4*g = -2*g + 3*b - 11. Suppose t - 3 = -5*v, -g*t + 5*v + 11 + 101 = 0. What is the tens digit of t? 2 Let l = 3477 - 1884. What is the hundreds digit of l? 5 Let v = 50 - -44. What is the units digit of v? 4 Let g = 3039 + -67. What is the thousands digit of g? 2 Suppose 2*d = -3*x - 12, -20 = 4*d + 5*x - 0*x. Suppose d = -4*s + 96 + 508. What is the hundreds digit of s? 1 Let z be 0 + 4/4 - -1. Suppose z = -2*k + 5*g + 31, -3*g = -5*k + 25. Suppose -3*v + 4 + k = 0. What is the units digit of v? 2 Let d(q) = -12 + 3*q**2 + q**2 - 6*q**2 - 4*q**2 + 4*q. Let r(k) = -k**2 + k - 1. Let n(o) = -d(o) + 5*r(o). What is the units digit of n(0)? 7 Let q(o) = 104*o**2 - 13*o - 1 + 10*o + 2*o. What is the hundreds digit of q(-1)? 1 Let q(a) = -31*a**3 - 6*a**2 - 26*a + 31. What is the thousands digit of q(-5)? 3 Let t(o) be the third derivative of -3*o**4/8 + o**3/3 + 35*o**2. What is the hundreds digit of t(-11)? 1 Suppose -6654 - 420 = -18*h. What is the units digit of h? 3 What is the hundreds digit of (-1)/(6/(-3856)) - 206/309? 6 What is the hundreds digit of 481 - ((-2)/16 - (-25)/8)? 4 Suppose 6*o = 2*o. Suppose -4*n + 8*n + 16 = o. What is the tens digit of (-1371)/(-39) - n/(-26)? 3 Suppose -13*q = -7*q + 1470. Let a = q + 394. What is the tens digit of a? 4 Suppose 14230 - 59340 = -26*f. What is the thousands digit of f? 1 Suppose -u - 3195 = -n, 0 = 3*n - 6*u + 10*u - 9557. What is the units digit of n? 1 Suppose 4*j = 3*l + 21, -5*j - 4*l = l. Let d = -3 + j. Let w = 2 + d. What is the units digit of w? 2 Let y(t) = t**3 + 3*t**2 - 3*t - 10. Let o be y(-4). Let m = 16 - 28. Let x = m - o. What is the units digit of x? 2 Suppose -3*w - 3*w + 6 = 0. Suppose -9 + w = 4*p. What is the units digit of (p/(-6))/((-12)/(-1224))? 4 What is the tens digit of -1*633*(-110)/330? 1 Let f(b) = 192*b - 172. What is the hundreds digit of f(28)? 2 Suppose -4*n = 161 - 1237. Suppose -4*g = -a + 53, a = -3*a - 3*g + n. What is the units digit of a? 5 Suppose -1440 = 8*s - 16*s. What is the tens digit of s? 8 Let t(m) = 3*m**2 - 2*m - 2. Suppose 5*h - 17 = -c, 0*h + 5 = -h - 3*c. What is the tens digit of t(h)? 3 Let v be ((-10)/12)/(1/(-6)). Suppose p = -3*m - p + 1, -3*m - 4*p + v = 0. What is the units digit of 62/(m*(1 - 3))? 1 What is the units digit of ((-14)/3)/((-8)/72)? 2 Suppose -3*l - 4*i = -30, 0 = -3*l + 2*i + 10 + 2. Let n be ((-18)/l)/(-1*1). Suppose -5 + n = -c. What is the units digit of c? 2 Let w = 17 + -13. Suppose -5 - 1 = -2*f - h, w*h = 16. What is the units digit of f? 1 Let w(b) = 0*b - 4*b + 64 - 13 + 36. What is the units digit of w(0)? 7 Let c = -2538 + 5227. What is the units digit of c? 9 Suppose 0 = 5*g + 2*s - 15, 4 - 13 = -3*g + 4*s. Suppose -g = -2*k + 1. Suppose k*q - 6*q + 56 = 0. What is the units digit of q? 4 Let p be (-2)/6 - 46/6. Suppose -7*q + 2*q - 15 = 0. What is the units digit of p/q - (-9)/27? 3 Suppose 3*o - 661 = -2*y, 3*y - y - 2*o = 676. What is the units digit of y? 5 Suppose 16*i - 14*i - 586 = 0. What is the hundreds digit of i? 2 What is the units digit of 34*(1/(-8) - (-612)/32)? 6 Let u(l) = -2*l - 10. Let r be u(-6). Suppose -r*j - 2*n - 5 + 71 = 0, 0 = 5*j - n - 141. What is the units digit of j? 9 Let z(k) be the second derivative of -k**3/6 + 9*k**2 - 2*k. Let u be z(12). Let l = 5 + u. What is the units digit of l? 1 Suppose -4*q - 5*f + 476 = 0, -3*f + 0*f = 5*q - 595. Suppose -h + q = -110. What is the tens digit of h? 2 Suppose -2*q + 5*n = 3*q - 205, -174 = -4*q - n. What is the tens digit of q? 4 Let n(u) = 16*u + 419. What is the units digit of n(15)? 9 What is the thousands digit of (-2372)/(-14)*(-336)/(-12)? 4 Let w = -192 - -269. What is the units digit of w? 7 Let g(t) be the third derivative of -t**5/60 - t**4/3 + 3*t**3/2 - 7*t**2. Let n be g(-9). Suppose n = -2*h + 6*h - 180. What is the units digit of h? 5 What is the units digit of 32/(-160) - 1562/(-10)? 6 Let d(l) be the first derivative of -13*l - 6 - 2*l**2 + 1/4*l**4 + 13/3*l**3. What is the units digit of d(-13)? 9 Suppose -2*z + 6*b + 275 = b, -3*b = 5*z - 765. Suppose 4*a = z + 198. What is the tens digit of a? 8 Let w(q) = q**2 + q - 12. Let p be w(-10). Let n = p - 22. What is the tens digit of n? 5 Let c(q) = q - 2. Let d be c(-6). Let w be d/(-3 + 10/4). What is the units digit of w/56 + 38/14? 3 Suppose -5*x = -p + 80, 2*x - 133 = -2*p + 3*x. What is the tens digit of p? 6 Let n = 2 + -2. Suppose -2*k + 34 = -n*k. Let x = -11 + k. What is the units digit of x? 6 What is the units digit of 319/((69/(-92))/(6/(-4)))? 8 Suppose -d - r = -4*r + 7, r + 11 = -d. Let i be (-322)/d + 3/(-15). What is the units digit of 8/(-20) + i/5? 6 Suppose 77*o - 85*o + 1944 = 0. What is the tens digit of o? 4 Suppose 5 = -5*u, 0 = -3*r + 2*r - 2*u + 462. What is the units digit of r? 4 Let u(g) = -g**3 - 6*g**2 + 6*g + 10. Let i be u(-7). Let n be i + (-3)/3*3. What is the units digit of (-6)/(-21) - (-612)/n? 4 Suppose 3*d + 4 = 7. What is the tens digit of 2*(-69)/(-6) + d + 1? 2 Suppose 2 = -7*b - 5. Let z(l) = -174*l + 1. What is the hundreds digit of z(b)? 1 Let y be (-6)/(-33) + (-8)/44. Suppose -18 = -6*o + 2*o - 5*v, -2*o - v + 12 = y. What is the units digit of o? 7 Let q = -18 - -14. Let w(j) = -6*j. What is the tens digit of w(q)? 2 Let d be 3/(-13 + 15 + 337/(-169)). Suppose 3*s = 2*i - 68 + d, -s + 153 = i. What is the units digit of s? 9 Suppose 4*l = b + 4, 0 = 3*b + 7*l - 2*l - 22. What is the tens digit of ((-28)/b)/((-2)/6)? 2 Suppose -3*v - q = -3*q - 1308, 0 = -2*v + 6*q + 872. What is the hundreds digit of v? 4 Let x = -165 + 3687. What is the units digit of x? 2 Suppose 2*l = 4*r - 3970, -3*l = r - 7*l - 996. What is the hundreds digit of r? 9 What is the tens digit of (-1)/(-4) - ((-3651)/4 + -3)? 1 Let b(d) = -37*d**3 + 7*d**2 - 6*d - 45. What is the tens digit of b(-4)? 5 Let i(t) = -3*t**2 - 9. Let c be i(-5). Let n = -7 - c. What is the tens digit of n? 7 Let v(z) = 11*z**3 + 6*z**2 - z + 5. What is the tens digit of v(5)? 2 Suppose -32 = -4*a + 44. Let g = 6 - 0. Let q = a + g. What is the tens digit of q? 2 Let p(c) = -8*c - 10. Let m = -1 - -9. Let h be p(m). What is the tens digit of (7 - 12)*h/10? 3 Suppose -2*d + 22 = 62. Let b = -8 - d. What is the units digit of b? 2 What is the tens digit of ((-4098)/30)/((-3)/(-15)*-1)? 8 What is the thousands digit of 153/(((-88)/56)/(-11))? 1 Suppose
{ "pile_set_name": "DM Mathematics" }
4 - 11*t*u**2 + 12*t - 4*u**3 - 1 with respect to u. -8*t*u**3 - 22*t*u - 12*u**2 Find the first derivative of -2*g**2*k**3*u + 596*g**2*u + 16*g*k**3*u - 4*u wrt k. -6*g**2*k**2*u + 48*g*k**2*u Find the first derivative of 2*i**3*u**2 + 16*i**3 - 7*u**2 + 23*u wrt i. 6*i**2*u**2 + 48*i**2 Find the second derivative of 9122*k**2*q**2 - 2*k*q**2 + 2*k - 2*q**2 + 136*q wrt k. 18244*q**2 Find the second derivative of 11*f**5 + 2*f**2 - 60*f. 220*f**3 + 4 What is the third derivative of -27*c**4*m - 2*c**4 - 4*c**3 + c**2*m + 326*c**2 - c*m wrt c? -648*c*m - 48*c - 24 What is the second derivative of 9234*d**2 - d - 5643? 18468 What is the second derivative of 363*o**5 + 257*o wrt o? 7260*o**3 Find the third derivative of -227*d**2*g**3 - d**2*g**2 - 2*d*g**2 - 44*d wrt g. -1362*d**2 What is the third derivative of 2*x**3*y**3 + 2*x**3*y - x**3 + 134*x**2*y**2 + 88*y**6 wrt y? 12*x**3 + 10560*y**3 What is the third derivative of -937*r**3 - r**2 + 543 wrt r? -5622 Find the third derivative of 59*f**3*g*i + 2*f**3*i**3 + 24*f**2*g*i**3 + 23*f**2*g*i**2 + g*i**3 wrt f. 354*g*i + 12*i**3 Find the third derivative of -14*w**5 + 2*w**4 + 75*w**2 wrt w. -840*w**2 + 48*w What is the second derivative of -752*l**3 + 121*l + 2? -4512*l Find the second derivative of c**3*f*s - 2*c**3*s**2 - c**2*s + 127*c*f*s**2 - 18*f wrt s. -4*c**3 + 254*c*f Find the second derivative of -f*s**2*v**3 - 3*f*s**2*v - f*s*v**3 + 5*f*s*v**2 - 51*f*v**2 - 2*f*v - 468*s**2*v**3 + s*v**3 wrt s. -2*f*v**3 - 6*f*v - 936*v**3 What is the first derivative of -f**4 - 831*f - 2157? -4*f**3 - 831 Find the second derivative of 7*g**3 - 794*g**2 + 70*g + 16 wrt g. 42*g - 1588 Differentiate -33*n**3*y*z**3 - 3*n**3*z**3 - n**3 + 21*n*y*z**3 + 4*n*z**3 - n with respect to y. -33*n**3*z**3 + 21*n*z**3 What is the second derivative of -1953*a**3 - a**2 - 36*a + 22? -11718*a - 2 What is the second derivative of 231*i**2*n*y**3 - 2*i**2*n*y - 2*i**2*n + 5*i*n - 2*i*y**3 - 8*n*y wrt y? 1386*i**2*n*y - 12*i*y What is the second derivative of k**3*v - 2*k**3 + 162*k**2*v**2 - 4*k*v**2 + k*v - 2*v**2 + 2*v wrt k? 6*k*v - 12*k + 324*v**2 Differentiate 47*t**2*w - 41*t*w**2 - 3*w**2 - 2*w + 241 wrt t. 94*t*w - 41*w**2 Differentiate -51*s*z**3 + s*z + 4230*s + 5*z**3 - 1 with respect to z. -153*s*z**2 + s + 15*z**2 What is the third derivative of 4*j**5 - j**3 - 70*j**2? 240*j**2 - 6 What is the second derivative of a**2*f**2 + 150*a**2*f + 7*a*f**2*k**2 + 12*f**2*k + f*k**2 + 38*f*k wrt f? 2*a**2 + 14*a*k**2 + 24*k Find the third derivative of 3*d**6 + 266*d**3*k + 2*d**2*k + d*k - 244*k wrt d. 360*d**3 + 1596*k Find the third derivative of 2*u**6 - 75*u**4 - 1444*u**2 wrt u. 240*u**3 - 1800*u What is the third derivative of 15*c**6*d - 2*c**3*d + 3*c**2 - 2*c + d wrt c? 1800*c**3*d - 12*d What is the second derivative of -c**3*i**3*p**2 - 8*c**3*p + 11*c**3 + 213*c*i**3*p**2 + 3*i**3*p wrt p? -2*c**3*i**3 + 426*c*i**3 Find the second derivative of -2*b**3*q + 5*b**3 + 5*b*q - 17*q wrt b. -12*b*q + 30*b Find the second derivative of -24*m**3 - 2*m**2 + 12*m wrt m. -144*m - 4 What is the second derivative of -55*c**2 + 8*c wrt c? -110 Find the third derivative of -7*l**4*z - 13*l**3 - 22*l**2*z - 3*z wrt l. -168*l*z - 78 What is the derivative of 5*p + 326 wrt p? 5 What is the second derivative of 11*b**2*n**2*s - 11*b**2*s + 244*b*n**2*s + 2*b*n*s - b*n - 2*n*s + 1 wrt n? 22*b**2*s + 488*b*s What is the derivative of 12157*u - 4039? 12157 Find the second derivative of -3*w**4 + 108*w**2 + 750*w wrt w. -36*w**2 + 216 Differentiate -25126*j*x + 46*x - 6 with respect to j. -25126*x Find the third derivative of 131*h**4*m**3 + 2*h**4 + 3*h**3*m**2 - 202*h**2*m - h*m**3 wrt h. 3144*h*m**3 + 48*h + 18*m**2 Find the first derivative of -15*o**2 + 44*o + 4733 wrt o. -30*o + 44 What is the first derivative of -3*i**3 - 50*i**2 - 924 wrt i? -9*i**2 - 100*i Differentiate 2*g*n*z**2 - 5*g*n - 4*g*z**2 + 186*g*z + 83*n - 2 wrt z. 4*g*n*z - 8*g*z + 186*g Find the first derivative of 12*f*o**3*s**2 + 3*f*s**2 - 2*o**3*s - o*s**2 - 35 wrt f. 12*o**3*s**2 + 3*s**2 Differentiate t**4 - 87*t**3 + 266 wrt t. 4*t**3 - 261*t**2 Find the third derivative of 2*n**3*z**4 - 34*n**3 - 614*n*z**4 + 8*z**2 wrt z. 48*n**3*z - 14736*n*z Differentiate -17*l**3*z - 4*l**3 - 119*z with respect to l. -51*l**2*z - 12*l**2 What is the third derivative of 32*u**5 - 291*u**2 wrt u? 1920*u**2 What is the first derivative of -706*m**4*u**3 + 2*m**4 + 48*u**3 - 50*u**2 wrt m? -2824*m**3*u**3 + 8*m**3 Find the third derivative of -39*i**2*v**3 - i**2*v**2 + 2*v**3 + 81*v**2 wrt v. -234*i**2 + 12 Find the first derivative of -10484*f*x + 92*x - 29 wrt f. -10484*x What is the second derivative of -3*l**3 - 64*l**2*p - 3*l*p - 11*l - p wrt l? -18*l - 128*p Find the third derivative of -4352*d**5*l**3 - d**5 - 107*d**2*l**2 - 35*d*l**3 wrt d. -261120*d**2*l**3 - 60*d**2 What is the second derivative of -2367*y**2 - 1650*y? -4734 Differentiate 3723*h**3 + 4654 wrt h. 11169*h**2 What is the second derivative of 4*d**2*m**2 - 2*d**2*m + 111*d*m + 8*m**2 wrt m? 8*d**2 + 16 Find the third derivative of 33*u**4 + 28*u**3 - 14166*u**2. 792*u + 168 Find the second derivative of 3*i**3 - 44*i**2 - 150*i. 18*i - 88 Find the third derivative of 4*m*o**3 + 2*m*o**2 + 3*m*o + 2*o**4 + o**3 + 18*o**2 wrt o. 24*m + 48*o + 6 What is the third derivative of 831*r**4 + r**3 + 2025*r**2? 19944*r + 6 Find the second derivative of -4*a**2*f*l - 690*a**2*l**3 - 3*a*l**3 + 2*a*l**2 - f*l**3 + f - 4*l**2 wrt a. -8*f*l - 1380*l**3 Find the first derivative of 4*s*u**3 + s*u**2 + 18665*s wrt u. 12*s*u**2 + 2*s*u Find the first derivative of -37*i + 1000. -37 What is the third derivative of 20367*b*h**4 + 8*b*h**2 - 141*b wrt h? 488808*b*h What is the third derivative of 21*v**4 + 171*v**2 wrt v? 504*v What is the second derivative of -105*q**3*w**2 - q**3*w - 99*q*w wrt w? -210*q**3 Find the second derivative of -149*d**4*f - 2*d**2*f**3 - 14*d*f**3 + 2*d*f + f**3 wrt d. -1788*d**2*f - 4*f**3 Differentiate 1023*c**2*r**2 - c*r**2 - 4*c + 294*r**2 with respect to c. 2046*c*r**2 - r**2 - 4 What is the second derivative of -53*i**3*z**4 + 405*i**3 - z**5 - z wrt z? -636*i**3*z**2 - 20*z**3 Differentiate d**4 + 3*d**3 - 1445*d - 4508 with respect to d. 4*d**3 + 9*d**2 - 1445 Find the third derivative of -492*c**6 - 29*c**2 wrt c. -59040*c**3 Find the second derivative of 34*n*p**2 - 30*n*p - 2*n + 13*p**3 wrt p. 68*n + 78*p What is the third derivative of 2467*d**4 - d**3*g**2 - d**2*g**2 - 7*d**2*g - 10*d*g**2 wrt d? 59208*d - 6*g**2 What is the first derivative of -3908*t**2 + 5492 wrt t? -7816*t Differentiate 17285*u + 26009 with respect to u. 17285 Find the second derivative of 837*i**2*x**2 + 111*i**2 - 2*i*x wrt x. 1674*i**2 Differentiate -4*c**2 + 527*c - 6777 with respect to c. -8*c + 527 Differentiate -13*m**2 - 5*m + 123 wrt m. -26*m - 5 Find the third derivative of -850*h**3*j**2 - 124*h**2*j**2 + 3*h**2*j wrt h. -5100*j**2 Find the third derivative of 27*j**2*k**3*n**3 + 4*j**2*k**2 + 3*j**2*n*q - 2*j*k**3*n**3*q + j*k**2*n**2*q - j*k**2*n*q - 4*j*k*n**3 wrt k. 162*j**2*n**3 - 12*j*n**3*q What is the third derivative of 3148*b**2*c**3*d**3 - 7*b**2*c**2*d**3 - b**2*c*d + 2*c**4*d - 103*d**3 wrt c? 18888*b**2*d**3 + 48*c*d What is the second derivative of 10*w**3 + 44*w**2 - 29*w - 6? 60*w + 88 Find the second derivative of -17*n*o*q*t**2 + 35*n*o*t**2 + n*q*t**2 - 8*n*q + 2*n*t - 3*o*q - 2*q*t - q wrt t. -34*n*o*q + 70*n*o + 2*n*q What is the second derivative of -17*t**5*z - 3*t**3*z - t*z - 146*t wrt t? -340*t**3*z - 18*t*z Find the third derivative of 2852*i**3 - 6618*i**2. 17112 What is the second derivative of 70*b*f**2*j**3 - 2*b*f - 2*b*j**3 + 29*b + 2*f**2*j**3 - j**3 wrt f? 140*b*j**3 + 4*j**3 Find the first derivative of 146*r**2*y**2 + 34*r**2*y - 6759*r**2 wrt y. 292*r**2*y + 34*r**2 What is the first derivative of 4*k**2*q**2*t**2 - 21*k**2*q**2*t - 177*q**2*t - 2*q**2 + 2*q*t**2 wrt k? 8*k*q**2*t**2 - 42*k*q**2*t What is the third derivative of 944*x**6 + 2*x**5 - 176*x**2 - 3? 113280*x**3 + 120*x**2 What is the second derivative of 2*a*k**3*x + a*k**2*x**3 + 14*a*k*x**3 - 2*a*k*x - k**3*x**2 + 34*x wrt x? 6*a*k**2*x + 84*a*k*x - 2*k**3 Find th
{ "pile_set_name": "DM Mathematics" }
. d - 2 Let w(a) = 588*a**3 + 56*a**2 - 56*a. Let j(k) = -31*k**3 - 3*k**2 + 3*k. Determine -56*j(t) - 3*w(t). -28*t**3 Let r(x) = x**2 - x. Let a(l) = l**2 - 2*l. Let z(k) = -2*k - 8. Let p be z(-6). Suppose -1 = -3*m + p*m. Give m*a(h) + 2*r(h). h**2 Let s(l) = l**3 - l**2 - l + 1. Let t(w) = 6*w**2 + 8*w - 8. Give -8*s(u) - t(u). -8*u**3 + 2*u**2 Let q(b) = -b - 65 + 65 - 3*b**3 + 29*b**2 - 27*b**2. Suppose 12 = -4*f + f, -3*f = 2*z + 18. Let x(w) = -4*w**3 + 3*w**2 - 2*w. What is z*q(a) + 2*x(a)? a**3 - a Let g(i) = -4*i**3 + 5*i**2 - 5*i - 5. Let c(p) be the second derivative of -p**5/20 + p**4/12 - p**3/6 - p**2/2 - p - 20. Calculate 5*c(b) - g(b). -b**3 Suppose -4*u = 5*m - 2*u + 20, 4*m - 4*u + 16 = 0. Let x(s) = s**3 - s**2 + s - 1. Let r(t) = -2*t**3 + 4*t**2 - 6*t + 2. What is m*x(j) - r(j)? -2*j**3 + 2*j + 2 Let o(d) = 6*d**3 + 2*d - 2. Let i(w) = -13*w**3 + w**2 - 5*w + 5. Calculate -2*i(r) - 5*o(r). -4*r**3 - 2*r**2 Let p(u) = -3. Let f(x) = 1. Let c(r) = 2*f(r) + p(r). Let q(t) = 2 - 2*t - 2 + t. What is -2*c(b) + q(b)? -b + 2 Let i(c) = 4*c**3 + 5*c**2 - 5. Let b(v) = -21*v**3 - 24*v**2 + 24. What is 5*b(p) + 24*i(p)? -9*p**3 Let f(w) = 6*w - 7. Let r(v) = -5*v + 6. Give -4*f(l) - 5*r(l). l - 2 Let q(r) = -2*r**3 - 6*r - 1. Let o(p) be the second derivative of -p**3/6 - 2*p. Suppose -2*g = l + 3*g + 6, 0 = 5*g + 10. What is l*o(u) - q(u)? 2*u**3 + 2*u + 1 Let g(m) = -4*m + 1. Let l(t) = 3*t - 1. Let c = 13 - 18. Give c*l(i) - 4*g(i). i + 1 Let z(k) = 5*k**3 + k**2 - 4*k - 3. Let q(c) = 4*c**3 + c**2 - 3*c - 2. Determine 4*q(u) - 3*z(u). u**3 + u**2 + 1 Let l(m) = -8*m**3 - 6*m**2 - 13. Let x(p) = 15*p**3 + 11*p**2 + 26. Determine -11*l(t) - 6*x(t). -2*t**3 - 13 Let o be (3*(-4)/(-3))/2. Let s(k) = 2*k - k + 6*k - o*k. Let l(v) = -14*v. Give 4*l(a) + 11*s(a). -a Let d(s) = s - 6. Let q(m) = -2. Let i(j) = -3*j**2 - 2*j. Let o be i(-2). Determine o*q(n) + 3*d(n). 3*n - 2 Let j(c) = c. Let t(z) = 39*z - 1. Calculate -4*j(x) + t(x). 35*x - 1 Let g(v) = 6*v**2 + 5*v + 6. Let z(l) = -7*l**2 - 6*l - 6. Determine -6*g(f) - 5*z(f). -f**2 - 6 Suppose -i - 3*i = 20. Let p(s) = 2*s**2 - 5*s - 1. Let g(d) = 2*d**2 - 4*d - 1. Calculate i*g(y) + 4*p(y). -2*y**2 + 1 Let r(p) = 3*p**2 - 2*p + 1. Let k(g) = -g**3 + g**2 - g + 1. Let b be 2/6*-3*1. Determine b*r(j) + k(j). -j**3 - 2*j**2 + j Let s(u) = 10*u + 10. Let z(f) = -1. Let l(c) = -2*c + 6. Let v(x) = l(x) + 5*z(x). Let a(o) = 1. Let h(d) = 3*a(d) - v(d). Give -11*h(j) + 2*s(j). -2*j - 2 Let m(c) = 4*c**2 - 7*c. Let r(o) = 3*o**2 - 5*o. Let q = 15 + -22. Give q*r(h) + 5*m(h). -h**2 Let k(p) = 31*p**2 + 28*p - 19. Let j(r) = -21*r**2 - 19*r + 13. Let h(g) = -7*j(g) - 5*k(g). Let n(f) = 9*f**2 + 8*f - 5. Give -7*h(i) - 6*n(i). 2*i**2 + i + 2 Let u(y) = 11*y - 11. Let d(n) = 6*n - 6. Determine 5*d(c) - 3*u(c). -3*c + 3 Let m(f) = -3*f**3 + 4*f**2 + 6*f + 1. Let g(q) = 5*q**3 + q**2 - 5*q - 6. Let n(u) = 4*u**3 + u**2 - 4*u - 5. Let y(o) = -5*g(o) + 6*n(o). Give -m(b) + 4*y(b). -b**3 - 2*b - 1 Let i(t) = -7*t**3 + 4*t - 1. Let o(b) = 10*b**3 - 6*b + 2. Determine -7*i(w) - 5*o(w). -w**3 + 2*w - 3 Let j(s) = -2*s**2 + 3. Let c(v) be the second derivative of 0*v**3 + 1/3*v**4 - v - 7/2*v**2 + 0. What is 2*c(i) + 5*j(i)? -2*i**2 + 1 Let z(v) = 7*v**3 + 6*v**2 + 6*v - 1. Let n(g) be the third derivative of -g**6/120 - g**5/60 - g**4/24 - 34*g**2. Give -6*n(u) - z(u). -u**3 + 1 Let t(l) = 88*l**2 - 3*l. Let c(f) = 793*f**2 - 26*f. What is 3*c(x) - 26*t(x)? 91*x**2 Let y(d) = 2*d**2 - 2*d - 6. Let q(x) = -3 + 9 - 1 + x - x**2. Let r(t) = -t**2 + 1. Let c be r(2). Give c*y(o) - 4*q(o). -2*o**2 + 2*o - 2 Let p(u) = 2*u + 8. Let k(l) = -2*l - 7. Calculate 6*k(z) + 5*p(z). -2*z - 2 Let g(y) = -2*y**3 - 20. Let r(s) = -9*s**3 - 80. Determine -26*g(k) + 6*r(k). -2*k**3 + 40 Let p(z) = -z**2 + 5*z. Let j(h) = h**2 - 6*h. Let v(n) = -6*j(n) - 7*p(n). Let c(o) = -2*o**3 + 4*o**2 + 6*o + 2. Determine c(b) - 4*v(b). -2*b**3 + 2*b + 2 Let o(m) = 4*m**2 - 9*m - 9. Let n(h) = -2*h**2 + 5*h + 5. Let t(b) = -2*b**3 - 4*b**2 + 2*b - 6. Let p be t(-3). Determine p*o(r) + 11*n(r). 2*r**2 + r + 1 Let q(o) = -43*o - 14. Let w(s) = 14*s + 5. Determine 6*q(r) + 17*w(r). -20*r + 1 Let t(w) = w**2 - 3*w - 2. Let q be (10/12)/(5/30). Let o(c) = -3*c**2 + 7*c + 5. Determine q*t(y) + 2*o(y). -y**2 - y Let m(w) = 9*w**2 + 5*w. Let b(j) = -77*j**2 - 42*j. What is 5*b(p) + 42*m(p)? -7*p**2 Let q(m) = -70*m + 3. Let c(z) = 69*z - 2. What is -3*c(l) - 2*q(l)? -67*l Let m(r) be the first derivative of -r**3/3 - 3*r**2/2 - 1. Let o = -15 + 8. Let p = o + 11. Let x(s) = 2*s**2 + 4*s. Give p*m(y) + 3*x(y). 2*y**2 Let s(v) = v + 5*v**3 + v**3 + 4*v**3 - 9*v**3 + 1. Let z(w) = 5*w**3 + 4*w + 3. What is 9*s(a) - 2*z(a)? -a**3 + a + 3 Let k(o) = o + 1. Let j(u) be the first derivative of -1 + u**2 + 6 - 2 + 4 + 3*u. Calculate j(b) - 3*k(b). -b Let g(o) = -8*o - 5. Let f(b) = 6*b**2. Let z be f(-1). Let y(p) be the second derivative of -7*p**3/6 - 2*p**2 - 25*p. What is z*y(c) - 5*g(c)? -2*c + 1 Let m(p) = 7*p**2 + 1. Let w(b) = -15*b**2 - 2. Let r(l) = 13*m(l) + 6*w(l). Let z(f) = 4*f**2 + 2. What is -2*r(x) + z(x)? 2*x**2 Let t(h) = h**3 - h + 1. Let o(q) = -9*q**3 + 18*q - 18. Determine -o(a) - 18*t(a). -9*a**3 Let u(t) = -6*t**2 - 8*t - 5. Let s(w) = -w. Let q(g) = -g**2 - 4*g - 1. Let k(l) = -q(l) + 3*s(l). Determine 5*k(b) + u(b). -b**2 - 3*b Let s(w) = 5*w**2 - 12*w + 13. Let p(g) = g**2 - 3*g + 3. Determine 26*p(r) - 6*s(r). -4*r**2 - 6*r Let z(o) = o + 1. Let s(p) = 8*p + 7. Let w(c) = -2*c + 2. Let k be w(2). Let r = 28 - 14. Give k*s(f) + r*z(f). -2*f Let t(u) be the first derivative of 4*u**3/3 - 4*u**2 - 6*u + 1. Let f(v) = -3*v**2 + 7*v + 5. Let c be 3 + -4*9/(-12). Determine c*f(n) + 5*t(n). 2*n**2 + 2*n Let r(t) = t + 8. Let q = -43 - -49. Let h(u) = -3*u - 23. What is q*h(o) + 17*r(o)? -o - 2 Let y(z) = z**2. Let n(k) be the second derivative of -2*k**4/3 - k. Let b(a) = 2*a**2 + 2*a + 1. Let s = -9 - -8. Let w be b(s). Determine w*n(l) + 6*y(l). -2*l**2 Let o(q) = q**3 + 2*q + 2. Let z(i) = 2*i**3 + 3*i + 3. Let v = 20 + -23. Calculate v*o(m) + 2*z(m). m**3 Let i be (-2)/(-5) + (-28)/(-5). Suppose -31 = -5*o - i. Let b(k) = -4*k**2 - 2*k - 3. Let u(l) = 5*l**2 + 2*l + 4. Give o*u(f) + 6*b(f). f**2 - 2*f + 2 Let g(q) = -11*q + 1. Let m(s) = 11*s - 1. Give 3*g(z) + 4*m(z). 11*z - 1 Let i(r) = -r + 6. Let t(w) = w + 1. Calculate i(v) - 3*t(v). -4*v + 3 Let w(q) = -13*q**2 + 5*q - 17. Let p(h) = -6*h**2 + 2*h - 8. Let g(l) = -5*p(l) + 2*w(l). Let b(n) = -3*n**2 - 5. Give 6*b(x) + 5*g(x). 2*x**2 Let g(a) = a**2 - 1. Let c(x) = x + 3*x + 6*x**2 + x - 6. Let p(h) = c(h) - 5*g(h). Let z(w) = -2*w. Give 2*p(t) + 5*z(t). 2*t**2 - 2 Let l = -59 - -65. Let s(v) = -14*v**3 - 11*v + 14. Let u(o) = 5*o**3 + 4*o - 5. Give l*s(j) + 17*u(j). j**3 + 2*j - 1 Suppose 0 = 5*q + 3*p - 208, -2*q = -3*q - p + 42. Let d(m) = 5 - q*m**2 + 37*m**2 + 12. Let v(u) = -u**2 + 4. Give -6*d(b) + 26*v(b). -2*b**2 + 2 Suppose -8 = -v + 3*z, -v - z + 11 = 3. Suppose s + 3*s = v. Let m(y) = y. Let o(w) = -1. Determine s*m(d) + o(d). 2*d - 1 Suppose -2 + 5 = 3*l. Let g(j) = 5 - 3 + 3*j**3 - 3. Let u(x) = -x**3 - x + 1. Calculate l*g(k) + u(k). 2*k**3 - k Let y(i) = 3. Let c(q) = -q + 4. Give 2*c(k) - 3*y(k). -2*k - 1 Let w(f) = -1. Let i(h) = 6*h - 51. What is 6*i(s) - 306*w(s)? 36*s Let n(t) = 12*t**2 + 10*t + 10. Let x(h) = 0 + 9 - 8 + h**2 + h. Determine 2*n(u) - 20*x(u). 4*u**2 Let n(a) = -6*a**3 - 30*a**2 - 11*a - 5. Let l(g) = g**3 + 6*g**2 + 2*g + 1. Determine 11*l(t) + 2*n(t). -t**3 + 6*t**2 + 1 Let w(x) = 35*x**2 - 4*x + 4. Let p(b) = 560*b**2 - 63*b + 63. Calculate 4*p(q) - 63*w(q). 35*q**2 Let n(i) = -2*i - 5. Let b(d) = -4*d - 9. Let y = -27 - -30. What is y*b(k) - 5*n(k)? -2*k - 2 Suppose 3*m = -5*g - 1, 0*g - 3*g = -3*m + 15. Let t(b) = 17*b + 0 + 11*b**m + 0 - 17. Let x = -65 + 99. Let n(d) = -2*d**3 - 3*d + 3. Give x*n(f) + 6*t(f). -2*f**3 Let v(o) = 11*o - 3. Let d be 2*-1 - (1 - 0). Let a(i) = -2*i - 9. Let y be a(-7). Suppose 0*q - 35 = y*q. Let n(g) = -5*g + 1. Calculate d*v(s) + q*n(s). 2*s + 2 Let c(y) = -2*y**3 + y - 3. Let o(j) = 4*j**3 - 3*j + 7. Suppose 4*k + 2 = n + 4*n, 3*k - 4 = n. Let d be 45/(-6)*(-4)/6. Give d*c(b) + n*o(b).
{ "pile_set_name": "DM Mathematics" }
7 PM? 6:22 PM How many minutes are there between 11:45 PM and 2:59 AM? 194 How many minutes are there between 5:53 AM and 2:20 PM? 507 What is 557 minutes after 6:45 AM? 4:02 PM What is 359 minutes before 4:40 PM? 10:41 AM What is 130 minutes after 3:36 PM? 5:46 PM What is 318 minutes after 12:38 PM? 5:56 PM How many minutes are there between 3:33 AM and 4:50 AM? 77 How many minutes are there between 10:01 AM and 9:56 PM? 715 How many minutes are there between 9:51 AM and 10:27 AM? 36 How many minutes are there between 8:58 AM and 6:54 PM? 596 How many minutes are there between 8:18 AM and 2:31 PM? 373 What is 27 minutes before 11:50 AM? 11:23 AM How many minutes are there between 4:04 PM and 1:22 AM? 558 How many minutes are there between 7:00 PM and 9:38 PM? 158 How many minutes are there between 4:45 PM and 8:51 PM? 246 How many minutes are there between 11:55 PM and 1:04 AM? 69 What is 583 minutes after 2:14 PM? 11:57 PM How many minutes are there between 4:50 AM and 2:22 PM? 572 What is 421 minutes before 8:34 PM? 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11:33 AM How many minutes are there between 8:05 PM and 5:54 AM? 589 How many minutes are there between 1:09 PM and 1:50 PM? 41 What is 665 minutes after 10:26 PM? 9:31 AM How many minutes are there between 9:24 AM and 11:02 AM? 98 What is 103 minutes after 4:10 AM? 5:53 AM How many minutes are there between 10:30 PM and 9:06 AM? 636 How many minutes are there between 9:07 AM and 2:25 PM? 318 What is 394 minutes before 7:09 AM? 12:35 AM What is 63 minutes after 2:39 AM? 3:42 AM What is 689 minutes after 1:21 AM? 12:50 PM What is 514 minutes after 7:34 PM? 4:08 AM How many minutes are there between 1:05 AM and 2:48 AM? 103 What is 525 minutes after 8:58 PM? 5:43 AM What is 525 minutes after 3:30 AM? 12:15 PM What is 156 minutes before 5:36 AM? 3:00 AM How many minutes are there between 6:07 AM and 6:13 AM? 6 How many minutes are there between 6:51 PM and 6:06 AM? 675 How many minutes are there between 7:04 AM and 11:53 AM? 289 What is 175 minutes before 10:58 AM? 8:03 AM How many minutes are there between 12:22 AM and 11:39 AM? 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42 What is 439 minutes after 4:18 AM? 11:37 AM What is 705 minutes before 6:23 PM? 6:38 AM How many minutes are there between 2:01 AM and 6:52 AM? 291 How many minutes are there between 8:54 AM and 12:57 PM? 243 What is 42 minutes after 7:08 PM? 7:50 PM What is 672 minutes before 12:53 AM? 1:41 PM What is 463 minutes after 1:10 AM? 8:53 AM How many minutes are there between 5:02 AM and 10:25 AM? 323 How many minutes are there between 2:36 PM and 6:46 PM? 250 What is 158 minutes after 6:43 PM? 9:21 PM What is 63 minutes before 2:38 AM? 1:35 AM How many minutes are there between 1:54 AM and 5:18 AM? 204 What is 493 minutes after 2:32 PM? 10:45 PM How many minutes are there between 6:26 AM and 2:16 PM? 470 How many minutes are there between 9:34 PM and 6:58 AM? 564 What is 560 minutes before 1:57 PM? 4:37 AM How many minutes are there between 12:11 PM and 3:15 PM? 184 How many minutes are there between 5:30 PM and 7:51 PM? 141 How many minutes are there between 8:57 PM and 4:25 AM? 448 How many minutes are there between 5:14 AM and 8:28 AM? 194 What is 253 minutes after 12:00 PM? 4:13 PM What is 155 minutes before 7:51 AM? 5:16 AM What is 570 minutes before 2:58 AM? 5:28 PM How many minutes are there between 12:38 AM and 10:33 AM? 595 How many minutes are there between 11:40 AM and 6:44 PM? 424 What is 132 minutes before 5:59 PM? 3:47 PM What is 591 minutes before 5:29 AM? 7:38 PM What is 520 minutes before 1:44 AM? 5:04 PM What is 171 minutes before 11:15 PM? 8:24 PM What is 254 minutes before 2:08 AM? 9:54 PM What is 386 minutes before 6:29 AM? 12:03 AM What is 211 minutes after 6:07 AM? 9:38 AM How many minutes are there between 10:24 AM and 8:58 PM? 634 What is 693 minutes before 10:42 PM? 11:09 AM What is 317 minutes before 12:05 PM? 6:48 AM How many minutes are there between 6:31 AM and 7:10 AM? 39 How many minutes are there between 3:42 AM and 3:44 AM? 2 How many minutes are there between 11:58 PM and 1:53 AM? 115 What is 705 minutes after 8:57 PM? 8:42 AM How many minutes are there between 3:20 PM and 8:15 PM? 295 How many minutes are there between 3:45 PM and 11:24 PM? 459 What is 539 minutes before 6:38 AM? 9:39 PM How many minutes are there between 1:03 AM and 9:26 AM? 503 What is 634 minutes after 1:05 AM? 11:39 AM How many minutes are there between 4:54 PM and 9:19 PM? 265 How many minutes are there between 1:13 PM and 12:43 AM? 690 How many minutes are there between 10:02 AM and 4:36 PM? 394 How many minutes are there between 7:23 AM and 8:05 AM? 42 What is 416 minutes before 8:23 PM? 1:27 PM What is 585 minutes after 6:57 PM? 4:42 AM What is 139 minutes before 5:04 PM? 2:45 PM How many minutes are there between 4:04 AM and 10:43 AM? 399 What is 217 minutes before 8:22 AM? 4:45 AM What is 644 minutes after 1:38 PM? 12:22 AM How many minutes are there between 2:19 AM and 3:35 AM? 76 How many minutes are there between 9:44 AM and 1:11 PM? 207 How many minutes are there between 5:49 PM and 5:07 AM? 678 How many minutes are there between 10:05 PM and 12:34 AM? 149 What is 71 minutes before 11:21 PM? 10:10 PM What is 156 minutes after 7:02 PM? 9:38 PM What is 448 minutes after 9:18 PM? 4:46 AM What is 398 minutes after 5:10 AM? 11:48 AM How many minutes are there between 7:20 AM and 9:42 AM? 142 How many minutes are there between 3:07 AM and 4:43 AM? 96 How many minutes are there between 6:24 AM and 5:29 PM? 665 How many minutes are there between 6:20 AM and 6:47 AM? 27 How many minutes are there between 3:26 AM and 10:50 AM? 444 How many minutes are there between 10:08 PM and 12:30 AM? 142 How many minutes are there between 11:43 PM and 6:41 AM? 418 What is 553 minutes before 2:17 PM? 5:04 AM What is 67 minutes after 8:14 AM? 9:21 AM What is 399 minutes before 8:13 PM? 1:34 PM How many minutes are there between 10:49 PM and 5:33 AM? 404 What is 429 minutes after 3:04 PM? 10:13 PM What is 191 minutes before 4:00 AM? 12:49 AM What is 581 minutes before 5:12 AM? 7:31 PM How many minutes are there between 1:29 PM and 7:13 PM? 344 What is 485 minutes
{ "pile_set_name": "DM Mathematics" }
b - b + 205. Let k = t - -45. Solve -m = -k*m for m. 0 Suppose -4*v + 2*v = -10. Let j be (-144)/(-6)*(-105)/10. Let g = j + 252. Solve -v*d = -g*d for d. 0 Let k be 106/6 + (-16)/(-48). Suppose 0 = -3*h + h + k. Suppose 5*p + 21 = 26. Solve p - h = 2*l for l. -4 Let g = 1241 + -1136. Solve g*k - 101*k = -8 for k. -2 Suppose m = -2*v, -5*m = 28 - 8. Suppose v*u - 5*r - 6 + 37 = 0, -4*r + 8 = 4*u. Let b be ((-108)/(-8) + u - 3)*2. Solve b = 4*h - h for h. 5 Let j be (-6)/10 + 28/(-20). Let m be j*((-42)/24 + (-1)/(-4)). Suppose w - 5 = 6*w - 4*y, -3*w - 6 = -m*y. Solve 0 = -z + w for z. 3 Let b(x) = 2*x + 58. Let p be b(-14). Let t = -37 - -41. Solve 2*l = -t*l + p for l. 5 Let r(k) = -34*k + 263. Let o be r(7). Solve -96 - 54 = -o*n for n. 6 Let o(l) = 10*l**3 - 88*l**2 - 10*l - 28. Let v be o(9). Solve -v*k + 4*k = -240 for k. 6 Let t be 24/(-6) + (-18)/(-2). Suppose 0*x + 2*a = -4*x + 20, -2*a - 16 = -t*x. Solve -11 = x*y + 9 for y. -5 Suppose -85 - 3 = -8*d. Suppose 65 = 9*x + d. Solve x - 1 = -c for c. -5 Suppose 3*p - 157 = 4*o, -2*p = o - 11 + 53. Let r be (o - (0 - 0)) + -2. Let v = 45 + r. Solve 4 = -v*d - d for d. -1 Suppose 3*t = -0*t + 24. Let v(j) = 53*j**2 + 6*j - 6. Let c be v(1). Let h = c + -51. Solve t = -h*g - 2*g for g. -2 Suppose -9305*i = -9311*i + 1236. Solve 176*f = i*f + 240 for f. -8 Suppose -51 = 46179*p - 46180*p. Solve -p*l - 190 = -37 for l. -3 Let o(y) = -y**3 + 4*y**2 + 17*y + 44. Let m be o(-3). Solve 50*s - m*s = 36 for s. -6 Let s(y) = -2 - 2 + 4 + 7*y - 10. Let k be s(2). Suppose -2*x + x = -2*w - 8, k = 2*x - w. Solve t + x + 1 = 0 for t. -1 Let x(t) = t**2 - 7*t - 398. Let b be x(24). Solve -31 - 29 = -b*n for n. 6 Let b = 168 - 147. Suppose -5*a + b*a - 32 = 0. Solve -a*k = k for k. 0 Suppose 108*h + 1571 - 13883 = 0. Solve 7*u + h = 26*u for u. 6 Suppose 40 = -18*c + 310. Suppose 3 + c = 9*o. Let s = -21 - -27. Solve -s = o*j + 2 for j. -4 Let u(v) = 2*v + 37. Let r(k) = -24 + 13*k**2 + 8 - 12*k**2. Let l be r(0). Let q be u(l). Solve g = -q - 0 for g. -5 Let z = -10746 + 10787. Solve 0 = -z*a + 16*a + 75 for a. 3 Suppose 2*k - 5*h = 256, 3*h = k + 56 - 184. Suppose k = 16*j - 0*j. Solve 6*i = 2 - j for i. -1 Let j = 1 + 2. Let a(l) = -l**2 - 6*l + 42. Suppose -5*z = -10*z + 20. Let g be a(z). Solve -j = -g*s + 3 for s. 3 Suppose s - 5*s = -5*v + 12, 0 = -4*v + 16. Let m(q) = q**2 - 7*q + 11. Let c be m(6). Suppose 2*r + 3*i + 15 = 5*r, 0 = -c*i - 5. Solve -s*d = -4*d + r for d. 2 Let w = 2566 + -2556. Solve 22*q = w*q + 24 for q. 2 Suppose 106 - 509 = -10*x + 227. Solve -x*r + 71*r + 56 = 0 for r. -7 Let k(m) = -m**3 - 6*m**2 - 3*m. Let y be k(-5). Let w be ((-23)/(-2) - 5/y) + -3. Solve -i - w = -4*i for i. 3 Let f(k) = -k**2 + 30*k + 2176. Let i be f(-34). Solve -438*m + 437*m - 6 = i for m. -6 Let s(j) = 21*j + 8. Let k be s(10). Suppose 24*h - 26*h = -k. Let c = -106 + h. Solve c*z = -z for z. 0 Suppose o - 4*g - 228 = -69, -533 = -3*o + 4*g. Solve -o*m + 202*m = 75 for m. 5 Suppose 14*q + 4*q - q - 119 = 0. Solve v = -q*v - 5*v for v. 0 Suppose -2*c - 3*c + 2*r + 36 = 0, 2*c - 18 = 2*r. Suppose 8*k - c*k + 2*a = 4, 0 = -3*k + a + 6. Solve -b = -k*b + 5 for b. 5 Let k(f) = 10*f**3 + 11. Let w(u) = -13*u**3 - u**2 - u - 12. Let a(s) = -4*k(s) - 3*w(s). Let i be a(3). Solve 6*t + 5 = -i for t. -1 Let z be -15 + (3 - 3) + 57. Solve -6*j - z = 8*j for j. -3 Suppose -1683 = -38*m + 369. Solve 184 = m*o - 86 for o. 5 Suppose 3*s = 11 + 4. Let z(m) = m**3 + 31*m**2 + 31*m + 35. Let d be z(-30). Let y be 14 + -10 + 25/d. Solve -s*f - y = 6 for f. -3 Suppose 6*p - 4*p = 0. Suppose 0*i - 4*i = p. Let w be (-24)/(-3) - (i + 4). Solve w = 4*c - 16 for c. 5 Let b(a) = 8*a - 31. Let x be b(4). Let l = -27 - -31. Suppose 2*w - 6 - l = 0. Solve -w*p + 6 - x = 0 for p. 1 Let q(z) be the first derivative of z**4/2 + 32*z**3/3 - 16*z**2 + 34*z - 307. Let i be q(-17). Solve i = -8*b + 6*b - 6*b for b. 0 Let g be 2*(-2)/(-12)*(0 + 78). Let c be (-4)/g - 132/(-13). Solve o + c = 6*o for o. 2 Let b be (5/1)/(2 + -1). Let v be (-27 + -3255)*((-21)/9 + 2). Let o = -1091 + v. Solve 2*y = b - o for y. 1 Let a = -18 - 100. Let w = a + 118. Solve w*k + 12 = -3*k for k. -4 Let t(f) = -11*f - 338. Let c be t(-35). Solve 33 = 7*r + c for r. -2 Let i = -3908 + 3954. Solve -2*j - i = -40 for j. -3 Let n = -74720 + 74726. Suppose -5*h = -5*c + 15, -1 = -2*c + 3*h + 1. Let r = -4 + c. Solve -r*w + n*w = -9 for w. -3 Let n be -4 + (-3 - (5 + -1 + 318)). Let u = 331 + n. Solve -g = u*g - 6 for g. 2 Let j = -997 - -999. Suppose 0*r - 2 = -5*r - j*p, -3 = -3*p. Suppose -2*c = 2*c. Solve r = s + 1 - c for s. -1 Let t(y) = 3*y**2 - 2*y - 3. Suppose -6*r + 6 = -5*r. Let w be 4 - 10*3/r. Let z be t(w). Solve -4 = -z*d + 3*d for d. -4 Let t(y) = 155*y + 2032. Let d be t(-13). Solve -d*i + 71 = 3 for i. 4 Let i = 26 - 26. Suppose -2*y - 5*j = -9, j + 27 = 2*y - 0*j. Suppose 4 = -2*z + y. Solve -4 = -i*b - z*b for b. 1 Suppose 8*s - 690 = -138. Suppose 76*l - 245 = s*l. Solve 5*i = l - 10 for i. 5 Let z(g) = -g**2 - 34*g - 33. Suppose -2*o + 5*u = 91, 17*o - 15*o + u + 61 = 0. Let v be z(o). Solve w = -3 - v for w. -3 Let w(i) = -i**3 + 35*i**2 + 2*i - 15. Let y be w(35). Solve -y*t = -61*t + 18 for t. 3 Let j(m) = 2*m - 41. Let b be j(-11). Let o = -57 - b. Suppose 6 = 8*n - o*n. Solve -2*f = -5 + n for f. 1 Suppose 5*c - 70 = 5*j, -3*c + 4*c = 5*j + 86. Let a(z) = 2*z + 38. Let r be a(j). Suppose -s + r*s - 3*s = 0. Solve 4*l - 12 + s = 0 for l. 3 Let p(c) = 12*c**2 - 3*c + 3. Let t be p(2). Let n be (3/5)/(9/t). Let k(l) = -l**2 + 5*l - 3. Let f be k(n). Solve -f*q - 9 = -3 for q. -2 Let y be (-6 + (-390)/(-75))/(2/(-90)). Solve -y = 17*n - 36 for n. 0 Let w = 506 - 501. Suppose -5*x - w*m = -0*m, 0 = -5*m - 5. Solve -x = -4*l + 11 for l. 3 Let n(p) = -p + 44. Let z be n(3). Solve -z*g = -15*g for g. 0 Let p = 96 + -94. Suppose 0 = -p*c + 5*b + 85, 5*b + 67 = 3*c - 48. Suppose 6*z = z + c. Solve 4*g = g + z for g. 2 Let a(y) = 4*y - 9. Let i be a(5). Let f(s) = 13*s - 50. Let c(p) = -25*p + 99. Let o(b) = i*f(b) + 6*c(b). Let h be o(5). Solve -h*w = -5*w - 4 for w. 1 Suppose 2*t + 14 = 12. Let y be (69 - t - (-30 + 29)) + -1. Solve 0 = y*o - 67*o - 6 for o. 2 Let o(t) = t**3 - 14*t**2 + 64*t - 57. Let z be o(14). Solve 0 = -840*i + z*i - 6 for i. -6 Let i be 2/10 + ((-324)/45 - -8). Let n = -12 + 13. Solve -i = -l + n for l. 2 Let r = 630 - 569. Solve -r*w + 14*w = -94 for w. 2 Let c = -38 - -43. Suppose -1 = -6*x + c. Let d be 1 - (2 + -17 + x). Solve 4*a - d = a for a. 5 Let b(g) = -4141*g - 24846. Let j be b(-6). Suppose 1 - 13 = -4*a. Solve a*h + j = -9 for h. -3 Let w = 945 + -943. Suppose w*l - 4*h + 31 = 11, -5*h = l - 25. Solve 3*v + l = -6 for v. -2 Let x be (((-214)/(-535))/((-3)/105))/(1/(-4)). Solve 0 = -161*y + 147*y - x for y. -4 Let b(p) = p**2 + 39*p + 13. Let j(o) = o**2 + 20*o + 6. Let z(m) = 3*b(m) - 5*j(m). Let d be z(9). Solve -7*g + 12 - 40 = d for g. -4 Let o(k) = 7*k + 14. Let d be o(-2). Suppose d*z = -4*z - z. Solve z = 5*x - 25 + 35 for x. -2 Let b(y) = -8*y - 53. Let j be b(-7). Suppose 2*w + 4*r + 6 = j*w, -5*w = 2*r - 30. Solve 0*h = w*h + 24 for h. -4 Let f = 1677 - 1547. Solve -11*x = 15*x - f for x. 5 Let d(q) = -q**3 + 15*q**2 + 15*q + 17. Let t be d(16). Let j be 72 + -6 + -4*t. Let r = -62 + j. Solve -z + r = -3 for z. 3 Suppose 25*y + 72*y = 1120 + 626. Solve 13*v = 19*v - y for v. 3 Suppose -4*w = -8*w. Suppose 8*l + m = 32, -42*l - 4*m + 38 = -40*l. Solve w = 3*u + l*u for u. 0 Suppose -l - 3*l = -44. Let j be 44/(1936/990)*(5 + 65/(-15)). Solve j = l*s - 6*s for s. 3 Let m(b) = -95 - 314 + 111 - 25*b + b**2 - 40*b - 128. Let j be m(-6). Solve -2*z - 6*z = j for z. 0 Let h(y) = -y**3 + 15*y - 4. Let f be h(-4). Suppose 5*n - 78 = 2*n. Suppose f = -22*t + n*t. Solve 3*d + t*d = 3 for d. 1 Let o(w) = w**2 + 18*w + 4. Let p be o(-18). Let l(t) = -t**2 + 6*t - 6. Let x be l(p). Let g be (-16)/2*85/(-40)*x. Solve -5*h - 14 = -g for h. 4 Let m = -11029 - -11162. Solve -143*o + m*o + 70 = 0 for o. 7 Suppose 33*y = 37*y - 12. Solve y*r - 1262 = -1271 for r. -3 Suppose 0*u + u = 0. Let i be (-3)/((u - -1)*-1). Solve i + 7 = 2*a for a. 5 Let k = -46 - -48. Suppose 4*m = i + 42, m + i = k*m - 9. Suppose 5*n + p
{ "pile_set_name": "DM Mathematics" }
vide -59 by 59. -1 Divide 0 by 2966. 0 What is -125 divided by -5? 25 Divide -168 by 168. -1 Divide -5 by 3136. -5/3136 Calculate 35 divided by -5. -7 Calculate 2886 divided by 222. 13 Calculate -20 divided by -2. 10 What is 4484 divided by 1121? 4 -927 divided by -6 309/2 147 divided by -4 -147/4 Calculate 1068 divided by -534. -2 Calculate -4 divided by -9. 4/9 Divide 252 by 42. 6 What is -21 divided by 17? -21/17 -427 divided by -427 1 Divide -13800 by 230. -60 What is 197 divided by -30? -197/30 What is 256 divided by -8? -32 -14 divided by -261 14/261 Calculate -1227 divided by 9. -409/3 Divide 210 by -2. -105 What is 2024 divided by 44? 46 Divide -290 by 2. -145 Divide 54 by -3. -18 What is 60 divided by 4? 15 Calculate 11944 divided by 1. 11944 What is -1930 divided by -8? 965/4 Divide 84 by 2. 42 What is 0 divided by -360? 0 -20 divided by 2 -10 What is -26 divided by 7? -26/7 What is 6 divided by 20? 3/10 3 divided by 59 3/59 Calculate 405 divided by 135. 3 -5742 divided by 3 -1914 0 divided by 1310 0 -347 divided by 347 -1 Calculate 6 divided by 462. 1/77 Divide -21 by -10. 21/10 43 divided by 36 43/36 2088 divided by 58 36 Calculate 346 divided by 1. 346 Divide -351 by 1. -351 Divide 15 by -27. -5/9 Divide -195 by -7. 195/7 2842 divided by -49 -58 -908 divided by -4 227 322 divided by 1 322 Divide 654 by -1. -654 Divide 312 by 52. 6 Divide 13764 by 1147. 12 -401 divided by -5 401/5 -5 divided by -3689 5/3689 Calculate -2214 divided by 369. -6 Calculate -2586 divided by -4. 1293/2 Calculate 44 divided by 239. 44/239 Divide 3 by 91. 3/91 What is -2145 divided by -33? 65 Calculate 528 divided by -6. -88 Calculate -760 divided by -76. 10 Calculate 1660 divided by 166. 10 Calculate -17604 divided by -8802. 2 578 divided by -2 -289 Calculate -31 divided by -49. 31/49 -1875 divided by 625 -3 What is 273 divided by 4? 273/4 Divide 1 by 15. 1/15 What is -548 divided by -4? 137 What is 1332 divided by 6? 222 -60 divided by 5 -12 What is -10070 divided by -265? 38 What is 2878 divided by 5? 2878/5 Calculate 496 divided by -124. -4 Calculate -26 divided by 128. -13/64 Calculate -10 divided by 75. -2/15 Calculate 103148 divided by -4. -25787 What is 4 divided by -248? -1/62 Calculate 220 divided by 44. 5 282 divided by -12 -47/2 Divide 11 by 40. 11/40 Divide 52 by 13. 4 Calculate -1808 divided by 452. -4 -1 divided by 1511 -1/1511 Calculate 740 divided by -5. -148 Calculate -20 divided by 16. -5/4 Divide 7140 by -6. -1190 What is 1622 divided by 2? 811 What is 522 divided by -6? -87 -68 divided by -4 17 What is 1 divided by -206? -1/206 Divide 1447 by -8. -1447/8 -4 divided by -96 1/24 What is 0 divided by 3? 0 What is 9930 divided by -10? -993 5 divided by 32 5/32 Divide -136 by -34. 4 Calculate 3 divided by -680. -3/680 Calculate -3 divided by -106. 3/106 Divide -6 by -1. 6 Calculate 1292 divided by -323. -4 What is 14440 divided by 2888? 5 Calculate -348 divided by -116. 3 113 divided by -5 -113/5 -20 divided by -516 5/129 -1 divided by -66 1/66 Divide -1932 by 966. -2 What is -21281 divided by -1637? 13 Calculate 4 divided by 39. 4/39 Calculate -4082 divided by -26. 157 Divide 0 by 25. 0 40815 divided by 3 13605 Calculate -1 divided by 54. -1/54 29511 divided by 1093 27 What is -45 divided by 4? -45/4 What is 2 divided by -20? -1/10 What is -184 divided by -92? 2 Calculate 1 divided by -1. -1 What is -60 divided by -30? 2 -917 divided by 38 -917/38 Calculate 12 divided by -30. -2/5 -1112 divided by -3 1112/3 Divide -9 by -3. 3 Calculate 1 divided by -3. -1/3 Divide 2 by -5. -2/5 289 divided by -6 -289/6 Calculate 4 divided by -286. -2/143 What is 622 divided by -5? -622/5 What is 83814 divided by 6? 13969 -963 divided by -321 3 What is 46 divided by -353? -46/353 What is 684 divided by -6? -114 -5 divided by 199 -5/199 9568 divided by -1 -9568 -3861 divided by 3 -1287 Calculate -11 divided by 1. -11 Divide 4 by -2120. -1/530 What is 4 divided by 1901? 4/1901 -4719 divided by 143 -33 399 divided by -7 -57 6 divided by -19 -6/19 What is 316 divided by 6? 158/3 What is -156 divided by -6? 26 Divide -13650 by 13. -1050 16330 divided by -710 -23 Calculate -592 divided by -592. 1 Calculate 82 divided by 1. 82 What is 0 divided by 2? 0 Calculate -250 divided by -50. 5 What is -3 divided by -1513? 3/1513 435 divided by -15 -29 Calculate 0 divided by 561. 0 What is -1496 divided by -88? 17 21681 divided by -11 -1971 -1692 divided by -9 188 Divide -6948 by 3474. -2 Calculate 1056 divided by -32. -33 Divide -9 by 33. -3/11 -4 divided by 19 -4/19 -1446 divided by 3 -482 Divide 16870 by 3. 16870/3 Divide -4926 by -8. 2463/4 Divide 1 by 54. 1/54 What is -1932 divided by 12? -161 Calculate 29 divided by -251. -29/251 What is 9 divided by 3? 3 What is -327 divided by -327? 1 Calculate 903 divided by -6. -301/2 Divide 122 by 3. 122/3 Divide -336 by 15. -112/5 Calculate 732 divided by 61. 12 Calculate -5 divided by -304. 5/304 Calculate -1925 divided by 385. -5 -5 divided by -209 5/209 What is -3 divided by 972? -1/324 What is -39 divided by 13? -3 Divide 375 by -25. -15 What is -3 divided by 1760? -3/1760 2409 divided by -3 -803 Calculate -74 divided by 1. -74 3 divided by 34 3/34 Divide 1116 by -18. -62 Divide 12 by 3. 4 Divide 5 by 500. 1/100 What is 864 divided by 216? 4 Divide 7 by 179. 7/179 Divide 20 by 10. 2 2610 divided by 6 435 Divide -364 by 364. -1 What is 68 divided by 1? 68 Divide 1088 by -1. -1088 What is -17283 divided by 21? -823 Divide -471 by 3. -157 Calculate 4 divided by 114. 2/57 86664 divided by -4 -21666 What is -4 divided by -677? 4/677 Divide -1728 by -144. 12 What is -216 divided by -9? 24 What is -6 divided by -1? 6 Divide -11 by 25. -11/25 What is -7024 divided by 3512? -2 What is -66 divided by 455? -66/455 25694 divided by 3 25694/3 Divide -82 by -2. 41 What is 101 divided by 39? 101/39 Divide 6840 by -120. -57 What is 0 divided by -51? 0 -13674 divided by -6 2279 Divide 299 by -1. -299 62 divided by 30 31/15 What is -4 divided by -28? 1/7 Calculate 150 divided by -5. -30 What is -274 divided by -1? 274 Divide -2 by 27. -2/27 -229 divided by -3 229/3 What is -2 divided by 113? -2/113 0 divided by -38 0 What is -125 divided by 2? -125/2 Divide 6793 by -6. -6793/6 Calculate -68 divided by -34. 2 What is -1034 divided by -8? 517/4 What is 332 divided by 83? 4 -680 divided by 3 -680/3 Calculate 4 divided by 4644. 1/1161 What is 3568 divided by -4? -892 What is 21976 divided by -4? -5494 Divide -4 by -5559. 4/5559 Calculate -3 divided by 20. -3/20 Calculate -10 divided by 3. -10/3 Divide -2 by -12. 1/6 2 divided by 2 1 Calculate 3 divided by -15. -1/5 Divide 12618 by 3. 4206 842 divided by -4 -421/2 What is -18 divided by -50? 9/25 -75 divided by 25 -3 Calculate 148 divided by 98. 74/49 4770 divided by -954 -5 Divide 0 by -132. 0 What is -31 divided by 31? -1 Divide -23949 by 1. -23949 Divide 41 by 13. 41/13 What is 5 divided by 37? 5/37 -99 divided by -99 1 Calculate 632 divided by -632. -1 What is -5 divided by -1390? 1/278 What is -37 divided by 108? -37/108 -23 divided by 110 -23/110 What is 811 divided by 7? 811/7 Divide -4 by -393. 4/393 Divide -2157 by -1. 2157 Calculate -44 divided by 43. -44/43 Calculate 740 divided by -148. -5 -62 divided by -37 62/37 What is -9 divided by 37? -9/37 What is 0 divided by 376? 0 Calculate 0 divided by -52. 0 What is -2418 divided by -13? 186 Calculate -4 divided by -145. 4/145 What is 1170 divided by 5? 234 -10 divided by -620 1/62 -105 divided by 2 -105/2 What is 68 divided by -1? -68 498 divided by 7 498/7 Calculate -32 divided by 187. -32/187 What is 1384 divided by -692? -2 Divide 165 by 5. 33 -124 divided by 5 -124/5 Calculate -2592 divided by -54. 48 2247 divided by -3 -749 Divide -74 by -37. 2 Calculate -487 divided by -6. 487/6 Divide 137 by -32. -137/32 Divide 13794 by 3. 4598 756 divided by -756 -1 Calculate 9668 divided by -4. -2417 Divide -3640 by -14. 260 What is -15 divided by -38? 15/38 Calculate -481 divided by 6. -481/6 1 divided by 1048 1/1048 -1501 divided by 1 -1501 What is 334 divided by 1? 334 -116 divided by -58 2 What is 4704 divided by -3? -1568 What is 3 divided by -505? -3/505 Divide 12 by 29. 12/29 Calculate -186 divided by -115. 186/115 What is -64944 divided
{ "pile_set_name": "DM Mathematics" }
er? False Let u(p) = -9*p - 16. Let x(n) = 10*n + 17. Let t(k) = 4*u(k) + 3*x(k). Is t(-13) composite? True Suppose -356 = -t - t. Is t prime? False Let l = 40 - 117. Let r = l + 156. Is r a prime number? True Let w(u) = -5*u - 28. Is w(-23) a composite number? True Let d(q) = -4 + 11*q + 0 + 5. Is d(6) composite? False Suppose -4*q + 1 = -3. Is (-1 - -3 - -12)/q composite? True Let k = 108 - 46. Is k a prime number? False Let z(y) = -94*y + 12. Let w be z(-5). Let t = 861 - w. Is t a prime number? True Let o(h) = -h**2 - 5*h + 7. Let i be o(-5). Suppose -i = 2*c - 3. Is (-3)/c*(1 + 21) prime? False Let v(h) = -8*h - 7*h + 2 + h. Is v(-4) a prime number? False Let i(t) = -4*t + t**2 - 5*t + 5*t**2 - 4. Is i(9) composite? False Suppose 21*b = 15*b + 19626. Is b composite? False Suppose 5*d - 65 + 5 = 0. Let i be (-14)/(-4) - (-6)/d. Suppose -4*q + 0*l + 24 = l, 36 = i*q - 2*l. Is q prime? True Let q(k) = -2*k**3 - 2*k**2 + 2*k + 1. Let f be q(-2). Let c = f - 9. Is ((-10)/c)/(2/12) a prime number? False Let c(x) be the third derivative of -5*x**4/3 - 13*x**3/6 + 7*x**2. Is c(-9) a composite number? False Suppose 8*z = 7*z + 3. Suppose -5*a + 920 + 178 = -3*t, z*a - 661 = 4*t. Is a a composite number? True Suppose m = 5*m - 8. Suppose 3*p + 14 = m*a, a - 3 - 11 = -2*p. Is (1*-13)/((-2)/a) a prime number? False Let l(n) = 6*n - 11. Let a be 0/((-6)/(-3)) + 7. Is l(a) composite? False Suppose 0 = 6*z - 2 - 4. Is z + 91/1 + -3 prime? True Let d(l) = l**3 - 5*l**2 + l + 7. Let j be d(5). Let k = j + 7. Is k a composite number? False Let x(m) = m**2 - 6*m - 8. Let a = 14 - 25. Is x(a) a prime number? True Let o(s) = s. Let x be o(2). Let v(n) = 3*n**3 - 3*n + 16*n**3 - 4*n**2 + 7*n**2 + 3. Is v(x) a prime number? False Let p = 155 + -46. Is p composite? False Let j(w) = -6*w**3 - 2*w**2 + 10*w - 7. Let n(m) = -5*m**3 - 3*m**2 + 9*m - 6. Let t(d) = 4*j(d) - 5*n(d). Is t(-5) a prime number? False Let j = -715 - -1722. Is j prime? False Let u = 8 + -12. Let g be 1*(42/(-1))/1. Is (g/u)/(-3)*-2 a composite number? False Let z be 0/((-3 - -2) + 2). Suppose -3*t + 25 - 7 = z. Is 1174/18 - t/27 composite? True Let g = 17 - 12. Suppose 0 = -0*f - g*f + 45. Is 309/f - (-2)/3 a prime number? False Let y(z) = 44*z**2 - z - 2. Is y(3) a prime number? False Suppose 2*q = 2*o - 3*o + 4057, 0 = 5*q + 5*o - 10150. Is q a composite number? False Is 243*(-30)/(-9) + -3 a prime number? False Let u(p) = p**3 - 7*p**2 + 2*p - 8. Let v be u(7). Let b be (-1)/(3/v - 1). Suppose -2*j - b*j + 140 = 0. Is j prime? False Is 0 + 119 + 0/(-2) prime? False Suppose 2*q = 4, -q = -0*i - 4*i - 3218. Is 3/4 - i/16 a prime number? False Suppose 309 + 311 = 4*k. Is k a composite number? True Let k(w) be the second derivative of w**5/20 - w**4/3 - 2*w**3/3 + 3*w**2 + w. Let r be k(4). Let b = 17 + r. Is b composite? False Let j = 7 + -1. Let b = j + -4. Suppose 5*u - 199 = 4*m, 0*m + b*m - 193 = -5*u. Is u prime? False Suppose 4*x + q - 5 - 7 = 0, 0 = 3*x + 3*q - 18. Is (-13)/x*(-20)/2 composite? True Suppose -2*v + 5*v = 171. Is v a prime number? False Let z(w) = -44*w - 9. Is z(-5) prime? True Suppose 8353 = 4*s - 2535. Is s a composite number? True Suppose r + r = -12. Let s = r - -8. Suppose 0*n + n - 3*g = s, -4*g = n - 23. Is n a composite number? False Suppose 0*j + 6 = 2*j. Suppose j*k - 6 = -5*n - 0*n, -4 = n - 2*k. Suppose n = -4*q - q + 785. Is q a prime number? True Let a(s) = -2*s**3 - 7*s**2 + 17*s - 8. Let r(p) = 3*p**3 + 11*p**2 - 26*p + 12. Let y(x) = -8*a(x) - 5*r(x). Let f be y(6). Is f/6 - 2/(-6) composite? False Let d be 1 + 1 + 1 + 0. Suppose -p = 3*l - 8, -17 = 2*p - 2*l - d*l. Is p*1 - 3*-4 composite? False Suppose 0 = -11*l + 7*l + 1012. Is l a prime number? False Suppose -d + 5*q + 19 = 2*q, 3*d + 4*q - 57 = 0. Is d composite? False Let p be (18/2)/(3/2). Suppose -5*i = -64 - p. Is i prime? False Let t = -562 - -854. Suppose 4*s - 341 = -3*u + t, 844 = 4*u + 3*s. Is u composite? False Let z(m) = -m**3 - 12*m**2 - 10*m + 14. Let d be z(-11). Suppose 158 = 3*t - 4*p, -6*t - 3*p + 186 = -d*t. Is t composite? True Let h(b) = 20*b - 3. Let l = 4 + -1. Let c be h(l). Suppose 3*g - 6*g + c = 0. Is g composite? False Is (-2506)/(-10) - 2/(-5) a prime number? True Suppose 18 = 4*q - 2. Let l be (-4)/q*(-10)/4. Suppose 4*g = -0*g - l*r + 154, 5*g + r - 188 = 0. Is g prime? True Suppose p = 4*f - 14, 3*p = p + f. Let h(u) = -u + 2. Let i be h(-2). Suppose 4*l + 180 + 126 = p*s, 0 = i*s + l - 657. Is s a prime number? True Suppose -2*t + 152 - 46 = 0. Is t composite? False Let t = 151 + 56. Let g = 366 - t. Is g a prime number? False Let a(p) = -p**3 - 7*p**2 - 7*p - 2. Suppose -2*n - 30 = 3*t + 2*n, 0 = -2*t + 5*n + 3. Let y be a(t). Suppose -y*b + 652 = -0*b. Is b prime? True Let b = 8 + 10. Suppose 0 = -22*f + b*f + 632. Is f a prime number? False Suppose 3*h - 4*p = -0*h + 4, h + 24 = -5*p. Is (2/h)/(2/(-212)) a composite number? False Suppose -a - 5*g = -996, 5*a = g - 4*g + 4958. Is a a composite number? False Let n(v) = -v**3 - 11*v**2 - 20*v + 29. Is n(-18) prime? True Let r = -6 + 10. Suppose 0*w - 3*w - r*s = -89, -2*w + 3*s = -31. Let a = w - 16. Is a prime? True Let u(s) = -s**3 - 8*s**2 - s + 5. Is u(-11) a composite number? False Suppose 3*o - 699 = 2*o. Is o composite? True Let i(c) be the second derivative of 1/3*c**4 + 1/2*c**3 + 2*c**2 + 0 - 2*c. Is i(-5) a prime number? True Let y = 8 + -14. Let f = 11 + y. Suppose f*x - 5*a - 103 = -2*a, -3*a + 35 = x. Is x a prime number? True Let b(c) = -4*c**2 - c. Let k be b(-1). Let i(o) = -2 + 3*o**3 + 0*o - 4*o**3 - 3*o. Is i(k) composite? True Let n = 8 + -3. Suppose 7 - 17 = -2*f + 2*w, 2*w = n*f - 25. Suppose f*b - 2*b = 18. Is b a prime number? False Let f = -45 - -66. Is f a composite number? True Let z(h) = -h**2 - h + 1. Let i be z(1). Is 55 + i - (-1 - -2) composite? False Let a = 871 + -489. Let h = 675 - a. Is h a composite number? False Let s(b) = -b**3 - 3*b**2 - 2*b + 1. Let w(i) = 3*i + 2*i - 6*i - 3*i**3. Let q be w(1). Is s(q) composite? True Suppose -8*z + 12*z = 16. Suppose 4*g + 675 = c, z*c - 2717 = -0*g - g. Is c prime? False Suppose 7 - 27 = -5*z, -3*z = -4*y - 4. Suppose -y*i + 7*i = 0. Is ((i - -121) + -2)*1 composite? True Let y(m) = -2*m**3 - 7*m**2 - 2*m + 795. Let z(h) = h**3 + 3*h**2 + h - 397. Let o(t) = -2*y(t) - 5*z(t). Is o(0) a composite number? True Let d(c) = c**2 + 5*c + 3. Let y(p) = 2*p**2 + 6*p + 3. Let f(z) = -3*d(z) + 2*y(z). Is f(6) a prime number? False Let l = 13 + -7. Let i = -17 + l. Let f = i + 18. Is f a prime number? True Let o(a) = -a**2 + 6*a + 4. Let p(i) = -i + 14. Let j be p(8). Let u be o(j). Suppose -u*r = -3*g - 590, -2*r - 3*g + 2*g = -300. Is r prime? True Suppose 0 = -2*o - 13 - 35. Let u be 8/(-16)*258/(-3). Let w = o + u. Is w a composite number? False Let v(q) = 2*q**2 + q - 1. Let d = -2 - -3. Let g be v(d). Is (g/(-3))/(2/(-9)) a composite number? False Let w(m) = 6*m**2 + m - 5. Suppose 0 = 4*u + 6 + 14. Let g be w(u). Suppose -2*o - 2*o = -g. Is o prime? False Let s(d) = -d**3 - 6*d**2 + 3*d + 9. Let h(c) = 9*c**2 + c + 1. Let j be h(-1). Suppose 2*i + 21 = -y + 8, 3*i = -j. Is s(y) a composite number? False Let o(t) = -6*t**2 + 3*t**2 + 4*t**2 + 22 - 25 + 3*t. Suppose -3*i + 5*m - 5 = -4*i, -2*i + 4*m - 18 = 0. Is o(i) prime? True Suppose 0 = -2*h + h + 3*l + 86, -5*l = -3*h + 242. Is h composite? True Let j be (-126)/15 - (-2)/5. Is j/(-28) - 803/(-7) prime? False Let n(a) = 8*a - 1. Let t(c) = -16*c + 1. Let g(w) = 5*n(w) + 2*t(w). Let i be (10/(-12))/(11/(-66)). Is g(i) prime? True Let b(n) = 5*n - 2 - n**2 - 3*n**2 + 3*n**2. Let g be b(4). Suppose -4*d = -g*d - 154. Is d prime? False Let c = 556 + -150. Suppose -c = 3*b - 5*b. Is b composite? True Suppose 3*x = 2*a - 411, x = -3*x + 3*a - 547. Let r = 99 + x. Let k = -27 - r. Is k composite? False Suppose -o + 2 = 7. Let b(t) = t**3 + 8*t**2 + 3*t - 3. Is b(o) composite? True Let r(h) be the first derivative of -h**4/4 + 5*h**3 + 23*h**2/2 + 15*h - 8. Is r(16) prime? True Let k(l) = 459*l - 3. Let h be k(1). Suppose -4*p - 12 = -h. Is p a composite number? True Let t = 512 + -325. Is t prime? False Suppose 2*d - 50 = 2*w, 2*d - 4*w - 121 = -3*d. Is d a prime number? False Let j(z) = 10*
{ "pile_set_name": "DM Mathematics" }
of 191807803 to the nearest integer? 13849 What is 159401384 to the power of 1/2, to the nearest integer? 12625 What is the third root of 213851586 to the nearest integer? 598 What is the third root of 589258232 to the nearest integer? 838 What is the square root of 388799029 to the nearest integer? 19718 What is 38175320 to the power of 1/2, to the nearest integer? 6179 What is 2466490969 to the power of 1/3, to the nearest integer? 1351 What is the cube root of 87389003 to the nearest integer? 444 What is the cube root of 5917048686 to the nearest integer? 1809 What is 153514795 to the power of 1/2, to the nearest integer? 12390 What is 49718195 to the power of 1/8, to the nearest integer? 9 What is the cube root of 1260411259 to the nearest integer? 1080 What is the square root of 867146804 to the nearest integer? 29447 What is 637740 to the power of 1/5, to the nearest integer? 14 What is the seventh root of 53630321 to the nearest integer? 13 What is the square root of 354754811 to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
13*f(k) + 6*y(k). Let b be w(-9). Solve o + 4*o = n - 22, n + b = -o for n. -3 Let l = -534 + 561. Suppose -12*w - 30 = -l*w. Solve 2 = 4*m - w*k, -4*m + 3*k = -9*m + 19 for m. 2 Let g(h) = -h**3 - 4*h**2 - 6*h + 2. Let y be g(-6). Let f = y + -85. Let k be 2 + (f - -1) + (-12 - -9). Solve -5*w - 3*a - 5 = -w, k = -4*w + a for w. -5 Let a(w) = 6*w**2 + w**3 - 43 + 4*w + 30 + 2*w**2. Let p be a(-7). Suppose -4*m - 3*t = -3*m - p, -2*t = -2. Solve 4*q + 8 = 3*q + m*x, q = 4*x - 7 for q. -3 Let t be (-598)/(-23)*(-3)/(-2). Suppose 3*a + t - 51 = 0. Solve a*w - 3*w + 4 = 0, y - 5*w - 16 = 0 for y. -4 Let q(u) = u**3 - 6*u**2 - 42*u - 5. Let w be q(-4). Solve 2*g + w*y - 15 = 0, -20*y + 19*y = -5*g + 12 for g. 3 Suppose -200*q + 798 = 198. Suppose 6 = d + 2*d. Let w = d - -22. Solve 4*o - 4*l + w = 0, 0*o - 5*l = -q*o - 24 for o. -3 Let n be 4/(-30) + (642/90 - 3). Suppose -3*h = 0, n*o + 0*o - 4*h - 204 = 0. Suppose -10*d = 7*d - o. Solve r = -2*k, d*r - 2*k = r - 12 for r. -4 Let d = 26507 - 26507. Solve v + 9*j - 10*j - 3 = d, 0 = 3*v - 2*j - 5 for v. -1 Suppose -2*l = 5*k + 122, 5*k + 197 = 4*l + 81. Let t be k/(-396) + (-652)/(-132). Solve -3*x + 10 = 2*c - 1, -2*c - t*x = -17 for c. 1 Suppose c - 9 + 11 = -y, -5*y + 2 = 2*c. Suppose -5 = 2*r + 2*h - 1, -3*r - 2 = y*h. Solve -3*t - r = -4*o - 6*t, 0 = 5*o + 5*t for o. 2 Let l = -56 + 62. Suppose 3*n - 4*x = -l, -5 = -2*n + 7*n - 5*x. Let d(i) = i**2 - 22*i + 46. Let b be d(20). Solve m + n*m = w + 6, 0 = -m - w + b for m. 3 Let a = 58 + -60. Let y(n) = -n + 3. Let w be y(a). Suppose -4*o = w - 21. Solve 5*m + 4*d = -27, -2*d = -o*m - 0*d - 6 for m. -3 Let z(p) = p**3 + 17*p**2 - 18*p + 20. Let n be z(-18). Suppose -8*q - n = -10*q. Let y be 33/7 + (-4)/(-14). Solve 13 = -3*u + y*g, -2*g + 0*g = -q for u. 4 Suppose -52 = -4*h - 4*i, -1055*h - i + 30 = -1053*h. Solve -h*q - 33 = -19*q + 5*b, 6 = q - b for q. -1 Let s(c) = 4*c**2 + 77*c + 142. Let z be s(-2). Let a(y) = 3*y - 3. Let m be a(2). Let w = 0 + m. Solve -5 = z*q - 5*g - 1, -4*g = -w*q - 4 for q. 4 Let i(f) = -4*f + 184. Let l be i(44). Solve l*n + 2 = 7*n - 2*x, 4*x = -3*n - 4 for n. 0 Suppose 65 = 5*t - m, 124 = 4*t + 2*m + 58. Solve -2*q + 3*w = -10, -18*q + 5*w = -t*q - 18 for q. 2 Suppose 82 + 64 = 26*v + 42. Solve i + 8 = -3*a, 0 = v*a - 0*a - 4*i - 16 for a. -1 Let f be (-18)/(-117) - ((-3014)/13 - -1). Let h = f + -111. Let w = h + -108. Solve -3*l + 6*b - 3*b = -w, 5*b = 0 for l. 4 Let d(a) = a**3 - a**2 - 25*a + 57. Let i be d(4). Solve r - 13 = 3*k, 0 = -i*k - 32*r + 29*r - 17 for k. -4 Let f be (12/(-20))/((-12)/60). Suppose y - 5*w = 3, -10*w = -y - 7*w + f. Solve 0 = -y*p - 2 - 4, a + 2 = p for a. -4 Suppose 0 = i - 5*i. Suppose -c + t = 3*c - 12, 12 = 4*c + 5*t. Suppose 5*f - 4*q = 43, -2*q = 29 - 35. Solve c*n + d + 0 + f = i, 5*d + 10 = 0 for n. -3 Let u(i) = -i**3 - 2*i**2 + 2*i - 9. Let z(h) = 39*h + 7 - 44*h + 6 + 3. Let x be z(4). Let j be u(x). Solve 5*l = 2*l + j, -11 = 2*d - 3*l for d. 2 Let z(i) = -i**3 + 4*i**2 + i + 26. Let s be z(5). Let x be (s/(-4))/1*-22. Let u be (1 + 9)*x/22. Solve -3*d + u = 5*h + 35, 4*d = h + 4 for d. 0 Suppose -15*n = -8723 - 1972. Let j = 717 - n. Solve -4*r - t = r + 6, j*t + 6 = -2*r for r. -1 Let x(h) = 2*h**2 - 29*h**3 + 11 + 30*h**3 + 9*h**2 + 9*h. Let z = -82 - -72. Let d be x(z). Solve -m - 2*m + 2*i = d, -30 = 3*m - 5*i for m. -5 Let h(g) = 65*g - 425. Let w be h(7). Solve 0 = -y + 141*x - 136*x + w, -2*x = -4*y + 30 for y. 5 Let f = 171 + -163. Suppose 6*n = 4 + f. Solve -3*p = -n*c - 15, -3*p + 0*p - 3*c + 15 = 0 for p. 5 Let l(z) = -z**2 - 27*z + 64. Let b be l(-29). Suppose 0 = -27*i + b*i + 63. Solve 4 + 0 = i*a - 2*s, -5*a + 15 = -5*s for a. -2 Let w = -3341 - -3346. Solve 10 = w*z - 0*x + 2*x, 0 = -z + 2*x - 10 for z. 0 Let v(b) = -9*b + 29 + 17*b - 1. Let l be v(0). Suppose -z + j + 8 = 0, -2*j = z - 4*z + l. Solve k = 5*g - 19, -4*k + z = -0*g + 2*g for k. 1 Let o(b) = 27*b**3 + 5*b - 6. Let s be o(2). Suppose 3*h - s + 211 = 0. Solve -h*x - 5*i + 10 = 0, -20 = -5*x + 2*x + 5*i for x. 5 Let x = -612 + 632. Suppose t = -5*b - 6 + x, 18 = 3*t + 3*b. Solve -18 = -t*u - 2*o, -3 = -u - u + o for u. 3 Let q = 8739 - 8735. Solve -3*a = h + 1, -33 = -4*h - q*a - 45 for h. -4 Let g be (12/9)/((-4)/(-18)). Solve 27 = -2*r - 5*d + 3, -g = -3*r + 3*d for r. -2 Let x(m) = 3*m + 40. Let k be x(-12). Suppose -4*p + 28 = 4*g, k*p = g + 10 + 8. Solve -5*r = -u + p, -r - 2*u = -7*u - 23 for r. -2 Suppose 154*q + 26 - 749 = -107. Solve -5*a + q = -z, -4*z + 6*z + 8 = 0 for a. 0 Let z(t) = t**3 - 34*t**2 + 81*t - 441. Let l be z(32). Solve 2*h = 2*b, l*b - 99*b = -3*h - 7 for h. -1 Let r be 8/2 + 88 + 20. Let o = r + -109. Solve -5*p = -4*f + 41, -3 = -o*p + 3*f - 30 for p. -5 Let v(h) = -2*h**3 + 157*h**2 - 77*h - 70. Let f be v(78). Solve 0 = -x - 4*m - 16, -9*x + f*x = -3*m - 12 for x. 0 Let h be (-14)/((34/(-136))/(3/(-4))). Let b be (-8)/(-3) - (-28)/h. Solve 2*k - 15 = 3*j + 2*j, -2 = b*j for k. 5 Let j = -16 + 13. Let t(w) = -w + 7. Let p be t(j). Suppose 25*a = 20*a + p. Solve 0 = -2*n - 5*q - 21, -5*n - a*q = -3*q - 15 for n. 2 Suppose -5*w + 7 = -8. Suppose -2*f + 3*c = -w*f, 3*f - 70 = 5*c. Let h be ((-10)/f)/(1/(-6)). Solve -h*t - 8 - 11 = -s, -8 = t + 3*s for t. -5 Suppose -62*a + 50*a + 192 = 0. Suppose -a = -78*y + 70*y. Solve 0 = 3*l - 2*x - 1, 2*l + y*x = -3*x + 7 for l. 1 Suppose -3*k + 3*y = -27, -3*k + 6*k - 23 = 2*y. Solve 0 = 3*u - k*h + 8, 5*u + 5*h - 2*h - 32 = 0 for u. 4 Suppose 56 = 64*r - 56*r. Solve -5 = 4*x + a + 3, -4*a = 3*x - r for x. -3 Let i(l) = -3*l + 11 + 2*l**3 - 1 + 8*l**2 - 4*l**3 + 3*l**3. Let y be i(-8). Let o = 38 - y. Solve 0*g + 2*g = o*z + 26, -2*g - 10 = 5*z for z. -4 Suppose 22 = 8*c - 2. Let u be ((-5)/c)/(12/(-144)*4). Solve -5*b = 5*l + u, 4*l - 1 - 5 = b for b. -2 Let n = 45 + -42. Let i(v) = 113 + n*v - 32 + v - 61. Let w be i(-4). Solve 0 = -k - 5, w*d + 5*k = -5 - 0 for d. 5 Let v be ((-78)/(-9))/((-12)/(-306)). Let m = 221 - v. Solve 2*t + 2 = 0, -5*l = -3*t - m*t - 18 for l. 3 Let x = -808 + 808. Suppose v = n - x*n + 2, 18 = 5*v + 3*n. Solve -2*c - 5 = 2*d + 7, 5*c + 20 = -v*d for c. -1 Let c = -76 + 78. Let t be (1 - -2) + (c + -1)/1. Solve -2*k + 4 = j, t*k - 5 = 4*j + 3 for j. 0 Suppose 4*c - 11 = 3*i, -11 = -2*i + 2*c - 15. Solve i*v - b - 1 = 4, -v - 5*b = 25 for v. 0 Let y be 130/10 - ((-144)/12 - 51). Solve 25 = 5*g, 71 - y = -3*n - g for n. 0 Suppose -89 - 23 = 4*u + 4*m, 0 = 3*u + 5*m + 94. Let w(z) = z**2 + 22*z - 19. Let c be w(u). Solve c = 2*f, 5*q - 6 = -6*f + 3*f for q. 0 Let q(v) = v**2 + 14*v - 45. Let y be q(-17). Suppose -m + 4*s + 23 = 0, 2*s = 5*m - 26 + 1. Solve 0 = 3*i, 4*a - a + m*i - y = 0 for a. 2 Suppose v = 13*v. Suppose 15*u - 336 = 69. Solve v = -5*g + 3*z + 32, u - 3 = g - 5*z for g. 4 Let h(i) be the second derivative of i**4/12 - i**3/3 + i**2 + 9*i. Let r = -30 - -34. Let j be h(r). Solve 4*p = -2*t - 12, -6*t + t - 2*p = -j for t. 4 Let d(g) be the third derivative of -g**6/60 - g**5/6 - 13*g**4/24 + g**3/6 - 6*g**2 + 2. Let n be d(-3). Solve -5*r + n*u = 0, 0*u = u for r. 0 Suppose 18*j = 14*j + 20. Suppose 5*f - 2 - 5 = -2*x, j*f - 5*x = 35. Suppose 0 = g + 49 - 54. Solve -2*q + 0 = z + f, 0 = -g*z - 5*q - 20 for z. -5 Let h be ((-100)/(-45))/10 + 6278/18. Solve 5*z - 348*v - 10 = -h*v, 0 = -3*z - 4*v - 11 for z. 3 Let u be (-18)/2 + (-4 - -4). Let i(r) = -r**3 - 9*r**2 + 3. Let s be i(u). Solve s*w - 5*g - 3 = 0, -2*w + g - 14 = 3*g for w. -4 Let o be 12/3 - 7/(-14)*-4. Solve -o*h - 18 = -2*p, -4*p + 13*h = 10*h - 31 for p. 4 Let p be (3 + (-5)/2)/((-7)/(-2156)). Let n = p + -150. Solve 5*m + 40 = 3*w, n*m + 25 = -4*w + 5*w for m. -5 Suppose b - 8 = -3*b. Let j = -658 + 666. Suppose -14*i + 12*i - 8 = -4*m, -3*i = -2*m - j. Solve -4*w = i*t - t + 6, -b = t + w for t. 2 Let w = -5667 - -5677. Solve 5*d + 3*u - 5 = -17, -2*d - w = -4*u for d. -3 Let z be 6688/560 - (-20)/350. Solve -3*a - 5 = 11*t - z*t, 4*a = -4*t - 12 for a. -2 Let o(b) = 4*b**3 - 25*b**2 + 3*b + 21. Let c be o(6). Solve -c*m - 3*k = 21, -15*k + 19*k - 8 = 5*m for m. -4 Let x(g) = g**2 + 7*g - 6. Let d be x(-8). Suppose d*t = -t + 15. Suppose -t*j + 49 = 34. Solve -l - 3*p + 10 = 0, -5*p + 14 = -j*l - 12 for l. -2 Let l
{ "pile_set_name": "DM Mathematics" }
i) = -5*i**2 - 3. Let o(c) = 2*h(c) + 11*t(c). Determine o(k). -4 Let u(r) = r**3 + 6*r**2 + 5*r - 4. Let g be (30/(-12))/((-2)/(-4)). Give u(g). -4 Let g be ((-6)/(-15))/((-2)/(-10)). Let l(k) = -k - 3*k - 3 + 3*k**2 - 5*k**g. Suppose 3 = 2*p + 7. Calculate l(p). -3 Let b(l) = -l**2 - 3*l. Let w = -2 - 2. Let k = 1 + w. What is b(k)? 0 Let y(g) = g**2 + 6*g. Let b be 4*1/(-8)*(15 + -1). Determine y(b). 7 Let f(c) = -c - 2. Let k be 328/(-64) - (-1)/8. Determine f(k). 3 Let z(h) = h**2 + h. Let s be z(-1). Let v be -2*(2 + (-21)/6). Let r(n) = -v*n + 4*n + 12 + n**2 - 2. What is r(s)? 10 Let x(z) = 6. Let o(u) = -u. Let d(b) = o(b) + x(b). Give d(4). 2 Let w = -18 + 22. Let l(s) = -s**3 + 4*s**2 + 5*s - 2. Calculate l(w). 18 Let z(n) = n - 2. Let o(w) = -w + 2. Suppose 2*m + 11 = -5*b, 4*b = -5*m + 1 - 3. Suppose 0 = 5*a - 8 - 7. Let i(s) = a*o(s) + m*z(s). Determine i(-5). 7 Let c(k) = 3*k - 1. Let j(l) = l. Let m be 75/(-12) + 3/(-4). Let q(g) = m*j(g) + 2*c(g). What is q(0)? -2 Let a(z) = -z - 7. Let p = -11 - -10. Let x(q) = -q - 1. Let i be x(p). Calculate a(i). -7 Let q(h) be the third derivative of h**5/60 + 5*h**4/24 + 2*h**3/3 - 5*h**2. Give q(-3). -2 Let b(q) = -q**3 + 3*q**2 - 3*q. Let h = 45 - 43. What is b(h)? -2 Let j(q) = 2*q - q - 2*q + 7. Suppose 4*c - 3 - 5 = 0. Suppose 7 + 4 = b + c*u, 0 = 5*b - 4*u - 13. What is j(b)? 2 Let f(l) = -4*l. Suppose 3*x + 10 = 5*t - 1, -x + 3*t - 9 = 0. Let n be 4/(-6)*(x - 0). Calculate f(n). 8 Let j(a) be the first derivative of a**3/3 + 2*a - 1. Suppose 15 = -3*q + 5*c, 4*q = 5*q + c - 3. Let g be j(q). Let i(v) = 2*v - 1. Give i(g). 3 Let s = -2 + 2. Let q be 1 + s/(-2) - -3. Let y(v) = -v**2 + 11*v - 5. Let i(x) = 3*x**2 - 32*x + 14. Let b(r) = -6*i(r) - 17*y(r). Give b(q). 5 Suppose 0 = -5*b + 2*o + 20, -55 + 12 = -3*b - 5*o. Let a(f) = -f + 6. Determine a(b). 0 Let j(v) = 3*v - 1. Let c be -1 + (5 - (0 + 3)). Suppose 6*n = 4*n + 3*o - 5, 0 = 3*n + 2*o + c. Give j(n). -4 Let x(h) = -1 - 8*h + 0 + 7*h. Determine x(-6). 5 Let k(l) be the third derivative of l**6/30 - l**5/60 + l**4/12 - l**3/6 - 4*l**2. Determine k(1). 4 Let o(g) be the second derivative of g**3/2 - g**2 + 12*g. Calculate o(-3). -11 Let r(n) be the third derivative of 0 + 0*n**3 + 0*n + 5/24*n**4 + 4*n**2. Determine r(1). 5 Let d(l) be the third derivative of l**8/6720 + l**7/504 + l**6/180 + l**5/20 + l**4/4 + 3*l**2. Let m(o) be the second derivative of d(o). What is m(-4)? 6 Let u(d) = -d**3 + 7*d**2 + 8*d - 7. Let c be u(8). Let l be -3*4*(-2)/(-6). Let a = l - c. Let m(g) = -g + 1. What is m(a)? -2 Let n = 11 - 17. Let y(j) = -j**3 - 7*j**2 - 7*j - 2. What is y(n)? 4 Let c(z) be the third derivative of 0 + 0*z - 2*z**2 + 1/60*z**5 + 1/6*z**3 + 1/6*z**4. Calculate c(-3). -2 Suppose 3*u = u + 4. Let h(q) = 1 + u*q - q - 2*q. Suppose -4*n + 3*r = -8, n = -3*r - 2*r + 2. Determine h(n). -1 Let g(r) = -r**2 + 8*r - 8. Let h(w) = -w**2 + 8*w - 10. Let y be h(6). Suppose y*o - 21 + 9 = 0. Determine g(o). 4 Suppose -2*p - 11 = -4*p - j, 5*p + 2*j - 26 = 0. Let m(q) = 4*q - 2*q**2 + q**2 + q. Give m(p). 4 Let s(a) = a**2 - a - 2. Let h(u) = -u**2 + 10*u - 13. Let c be h(8). Determine s(c). 4 Let q(g) = g**3 - 4*g**2 + 2*g + 2. Let b be q(2). Let j(p) be the third derivative of p**6/120 + p**5/20 + p**4/12 + p**3/2 + p**2. Calculate j(b). 3 Let j be 124/28 - 3/7. Let r(i) = i - 8*i**3 - i**2 - j*i**2 + 7*i**3. Calculate r(-5). -5 Let w(s) be the third derivative of 3*s**6/20 - s**5/30 - s**4/12 - s**3/6 - 13*s**2. Calculate w(-1). -19 Suppose 0 = 3*i + 5 + 7. Let u(j) be the first derivative of j**4/4 + 2*j**3 + 7*j**2/2 + 5*j + 1. Give u(i). 9 Suppose -4*g + 3 = 15. Let m(y) = -y**3 - 3*y**2 - 3*y - 4. Let t be m(g). Let d(z) = 2*z + 7 + 0 - 3*z. Calculate d(t). 2 Let v(b) be the first derivative of -b**3/3 - b**2/2 + b - 7. Suppose -4*i = -5*z - 28, i + i = -z. Suppose 4*c = 6*x - 2*x + 12, x + 4 = i*c. Determine v(c). -1 Let t(h) = -h - 1. Suppose 0*l + l = 0. Give t(l). -1 Let y(c) be the second derivative of 7/2*c**2 + 5/6*c**3 - 1/12*c**4 + 0 - 2*c. Let o(a) = a**3 + 6*a**2 + 5. Let q be o(-6). Determine y(q). 7 Let r(q) be the first derivative of -q**2/2 + 8*q + 32. Give r(4). 4 Suppose 4*s - 5*f = -7, 2*f + 15 = 7*f. Let b(n) = n**3 - 3*n**2 + n + 1. What is b(s)? -1 Let s(d) be the first derivative of d**2/2 - d + 6. Suppose i - 15 = -2*i. Let u be ((-4)/i)/((-3)/(-15)). Give s(u). -5 Let b be ((-9)/9)/(1 - 2). Let a(k) = -k**2 + b - k - 5 + 0 + 3*k. Give a(3). -7 Let g(b) = 18*b**2 + 15*b**2 - 32*b**2 - 7*b - 1. Determine g(8). 7 Suppose 6*i = 4*i. Let d(u) = -u + u**3 - 3 + 3*u + i*u. Determine d(2). 9 Let o(j) = j - 1. Let q(u) = 3*u**2 - 7 - 4 - 2*u**2. Let d(w) = -5*o(w) + q(w). Let g = -7 - -12. Determine d(g). -6 Let o(i) = -i**2 - 4*i + 5. Let g(x) = -3*x + 1. Let m be g(-1). Suppose m*t + 2*b + 0*b + 26 = 0, -4*t - b = 21. Determine o(t). 5 Let c(o) = 9*o - 22. Let m(i) = 6*i - 15. Let a(u) = 5*c(u) - 7*m(u). Let g = 7 - 8. Let k = g + 5. Calculate a(k). 7 Suppose 2*d - 10 = -2*y, -4*d + y = -3*d - 11. Suppose 3*c - 4 = d. Let m(k) = 3 - k**2 + 1 + 4*k + 0*k**2. What is m(c)? 4 Let b(v) be the second derivative of v**3/2 - 3*v. Calculate b(-2). -6 Let d = -11 + 13. Let s(l) = -1 + 5 + l**2 - d*l**2. Calculate s(0). 4 Let y(h) = h - 7. Suppose 5*u = -6 + 31. What is y(u)? -2 Let r(w) be the third derivative of w**8/6720 - w**7/1260 - 7*w**6/720 + w**5/20 + w**4/24 + 2*w**2. Let d(a) be the second derivative of r(a). Give d(4). 10 Let n(k) = -k**2 + 5*k + 6. Let x = -144 + 151. Give n(x). -8 Let h be 2/(-8) + 1/4. Let r be -2 - (h - 1 - 5). Let w(c) = -2*c**3 - c**3 + r*c**3 - 3*c**2. Determine w(2). -4 Let c = -1 + 1. Let o(r) = 3 - 4 + 5*r + c. Calculate o(-1). -6 Let u(c) be the second derivative of -c**3/3 - c**2 - 7*c. Give u(-2). 2 Suppose -2*r + 12 = -0*t + t, 0 = -3*t + 12. Suppose 0 = -d + r - 0. Suppose -2 = s + y, 2*s + 0*s + 10 = d*y. Let i(b) = -b**2 - 3*b. Calculate i(s). 0 Let y(q) = -q**2 + 2*q - 1. Suppose -15*r + 5*r = -30. What is y(r)? -4 Let l be ((-2)/(-2))/1 - (-9 + 6). Let f(j) = -2*j + 1. What is f(l)? -7 Let i = 29 - 21. Let r = i - 13. Let l(a) be the first derivative of -a**3/3 - 5*a**2/2 - 2*a + 2. Give l(r). -2 Let x(g) = -4*g. Let k(a) = -a**2 - 6*a + 2. Let w be k(-6). Let p = 6 + -9. Let z be w/(-4) - p/(-6). What is x(z)? 4 Let f(u) = 3*u - 157 + 151 - 4*u - u**3 - 6*u**2. What is f(-6)? 0 Let h(l) be the first derivative of -7*l**3/3 - l**2/2 + 3. Let i(x) = 21*x**2 + 4*x. Let f(c) = -7*h(c) - 2*i(c). Calculate f(1). 6 Let d(w) = 5*w**2 - 8*w - 10. Let f(z) = -2 + 2*z - 2*z**2 + 1 + 2*z + 6. Let m(h) = 3*d(h) + 7*f(h). Give m(-4). 5 Suppose 2*w = -2*b - 12, -4 = 3*w - w. Let l(p) = -p**3 - 4*p**2 + p - 1. Calculate l(b). -5 Let b(p) = 3 + 3*p - 4*p + 5*p**3 + p + 3*p. Let x(s) = -4*s**3 + s**2 - 3*s - 2. Let v(m) = 3*b(m) + 4*x(m). Determine v(2). 3 Let o = -37 + 33. Let a(x) = -x**2 - x + 2. Calculate a(o). -10 Suppose 9 = 5*l - 6. Suppose 0 = l*u - 4*u + 2. Let h(x) = -x**2 - 2*x + x**3 - 4*x**2 + 4*x**u - 1. Determine h(-1). -1 Let c(j) = -5 - 2 + 3*j + 5. Determine c(-2). -8 Let t(w) = -w**3 - 3*w**2 - 3. Let z(r) = -2*r**3 - 6*r**2 - r - 6. Let m(d) = -5*t(d) + 2*z(d). Let q(n) = n**3 - n**2 - 4. Let g be q(0). What is m(g)? -5 Let l(z) = 2*z - 6. Let n be 2 - -4 - 2/1. Let p be l(n). Let t(v) = 5*v. Let s(u) = -70*u. Let r(k) = 6*s(k) + 85*t(k). What is r(p)? 10 Let b(k) = -k**3 - 12*k**2 + 10*k - 45. Let d be b(-13). Let w(z) = -4*z + 1. What is w(d)? 25 Let x = -2 - -4. Let q(r) = -r**3 - r + 0*r**2 + 3 - 2*r**3 + 2*r**x + 2*r**3. Let y = -5 + 8. Give q(y). -9 Let b = -8 + 10. Suppose -5*w + b*h = -0*w - 17, w = -h + 9. Let m(x) = x**3 - 5*x**2 + x - 5. Calculate m(w). 0 Let w(i) = -i - 4. Let l be w(-6). Let p(a) = 32*a + 8. Let z(v) = 11*v + 3. Let k(j) = -j**2 - j + 3. Let d be k(4). Let o(u) = d*z(u) + 6*p(u). What is o(l)? 7 Let x(p) = p - 5. Let m be x(7). Let f(c) be the first derivative of 0*c + 1/2*c**m - 3. Determine f(3). 3 Let g(b) = -b**3 - 7*b**2 - 2*b. Let y be (-3)/(-12) - (-174)/(-24). Determine g(y). 14 Let h(j) be the second derivative of -j**5/20 + j**3/2 + 3*j**2/2 - j. Let d be 0 - 3/((-6)/4). Suppose -5*x = 12 - d. Give h(x). 5 Let j = -3 - 6.
{ "pile_set_name": "DM Mathematics" }
icked without replacement from nwwjsjnnnnmwn. 1/286 Calculate prob of sequence ai when two letters picked without replacement from iiaaaiiiiiiiiiiiaia. 35/171 Four letters picked without replacement from xxmmllmmx. Give prob of sequence lxxx. 1/252 Four letters picked without replacement from {q: 4, r: 2, d: 1, z: 1}. Give prob of sequence rrdq. 1/210 Calculate prob of sequence xre when three letters picked without replacement from {x: 1, r: 3, e: 1, k: 10}. 1/910 Two letters picked without replacement from {i: 1, h: 7, t: 5}. Give prob of sequence hi. 7/156 Calculate prob of sequence ii when two letters picked without replacement from qiiqiiiiii. 28/45 Two letters picked without replacement from {i: 1, g: 1, v: 3, h: 2}. What is prob of sequence ih? 1/21 Calculate prob of sequence gq when two letters picked without replacement from qgqqgqvqaqqgaaaa. 7/80 Two letters picked without replacement from bjqjjjlrbbjjj. Give prob of sequence jr. 7/156 Calculate prob of sequence ee when two letters picked without replacement from emeeeeeeemmeee. 55/91 Four letters picked without replacement from gcddcdddgdgggcdd. Give prob of sequence gccc. 1/1456 Calculate prob of sequence ppbq when four letters picked without replacement from vqzivvbzivpiiivivz. 0 Calculate prob of sequence aaa when three letters picked without replacement from aaaaaaaaa. 1 What is prob of sequence vqv when three letters picked without replacement from {v: 7, q: 5}? 7/44 Three letters picked without replacement from uzpeqmp. Give prob of sequence mpp. 1/105 What is prob of sequence yyvs when four letters picked without replacement from {v: 1, c: 5, s: 1, r: 3, y: 1}? 0 What is prob of sequence mghy when four letters picked without replacement from ghmyy? 1/60 Four letters picked without replacement from {a: 7, p: 11, w: 2}. What is prob of sequence apwa? 77/9690 What is prob of sequence beb when three letters picked without replacement from {b: 3, e: 3}? 3/20 What is prob of sequence wwl when three letters picked without replacement from {l: 1, w: 2, g: 2}? 1/30 Calculate prob of sequence zzr when three letters picked without replacement from {r: 11, z: 5}. 11/168 Two letters picked without replacement from puu. What is prob of sequence pu? 1/3 Four letters picked without replacement from jjzztjbzjjjzjjf. What is prob of sequence fzbj? 4/4095 What is prob of sequence gww when three letters picked without replacement from qggwwp? 1/30 Three letters picked without replacement from ddnzdqdddddzcnzqzdq. Give prob of sequence ndz. 4/323 Two letters picked without replacement from vssssvs. What is prob of sequence vs? 5/21 Four letters picked without replacement from oggggglgggggnqgggp. Give prob of sequence lopn. 1/73440 Calculate prob of sequence bw when two letters picked without replacement from {k: 3, w: 3, b: 1, l: 1, r: 3}. 3/110 Calculate prob of sequence zm when two letters picked without replacement from {b: 2, p: 2, z: 1, m: 1, a: 1}. 1/42 Calculate prob of sequence qhhq when four letters picked without replacement from hqqqhqqqq. 1/36 What is prob of sequence fha when three letters picked without replacement from {h: 4, a: 1, f: 6, e: 1, w: 1}? 2/143 What is prob of sequence qixd when four letters picked without replacement from {x: 7, b: 3, q: 1, d: 3, p: 3, i: 1}? 7/24480 Two letters picked without replacement from voovoyooxzzjxoojoyy. What is prob of sequence vy? 1/57 What is prob of sequence vcc when three letters picked without replacement from cvvvccvccvvcvvvvvv? 5/68 Three letters picked without replacement from {p: 12, b: 3, n: 1, v: 1, o: 2}. Give prob of sequence vbn. 1/1938 Two letters picked without replacement from bbmmbembmebbmmbbbbbm. What is prob of sequence em? 7/190 What is prob of sequence uuuo when four letters picked without replacement from {u: 4, o: 6}? 1/35 Three letters picked without replacement from {q: 1, r: 3}. What is prob of sequence rrr? 1/4 Four letters picked without replacement from uigaafl. What is prob of sequence aguf? 1/420 What is prob of sequence eeee when four letters picked without replacement from eeee? 1 Calculate prob of sequence xq when two letters picked without replacement from {x: 4, q: 2}. 4/15 Calculate prob of sequence fg when two letters picked without replacement from rrfozgt. 1/42 What is prob of sequence wppt when four letters picked without replacement from wwdwpdpwwpcdwtp? 1/455 What is prob of sequence ev when two letters picked without replacement from {v: 11, j: 4, e: 3}? 11/102 Calculate prob of sequence fef when three letters picked without replacement from {f: 2, e: 3}. 1/10 Three letters picked without replacement from eqwaeeewweaqqqwa. What is prob of sequence qeq? 1/56 What is prob of sequence kyy when three letters picked without replacement from {y: 3, k: 2}? 1/5 What is prob of sequence gngc when four letters picked without replacement from cyngg? 1/60 Four letters picked without replacement from {v: 2, e: 6}. What is prob of sequence eeee? 3/14 Two letters picked without replacement from {f: 1, j: 2, w: 1, b: 1}. What is prob of sequence wf? 1/20 Three letters picked without replacement from xgxx. Give prob of sequence xxg. 1/4 Three letters picked without replacement from rwoffwofowfwh. Give prob of sequence for. 1/143 What is prob of sequence azw when three letters picked without replacement from {z: 1, w: 1, t: 11, a: 1, p: 2}? 1/3360 Calculate prob of sequence omqm when four letters picked without replacement from {x: 2, m: 2, q: 13, o: 2}. 13/23256 Calculate prob of sequence vvuo when four letters picked without replacement from uuuvovu. 1/105 Two letters picked without replacement from {z: 1, k: 1, m: 1, x: 2}. Give prob of sequence xx. 1/10 Calculate prob of sequence qoy when three letters picked without replacement from qqoqoqqqqqwqoypfqp. 5/816 Three letters picked without replacement from vvvviivvvivv. Give prob of sequence iii. 1/220 Two letters picked without replacement from xxqqmxq. What is prob of sequence qq? 1/7 Two letters picked without replacement from akk. What is prob of sequence kk? 1/3 Three letters picked without replacement from {z: 1, l: 1, o: 2, x: 1}. Give prob of sequence xlz. 1/60 Calculate prob of sequence uua when three letters picked without replacement from {k: 3, u: 4, a: 7}. 1/26 Two letters picked without replacement from dxeddfvevzvdzvvddvd. Give prob of sequence xz. 1/171 Calculate prob of sequence wmdd when four letters picked without replacement from mmmmmwpdmmddpdm. 4/1365 Three letters picked without replacement from {c: 1, g: 1, h: 1, j: 1, u: 1, d: 2}. What is prob of sequence ghj? 1/210 Two letters picked without replacement from xxfoolxlffei. Give prob of sequence xx. 1/22 Calculate prob of sequence wm when two letters picked without replacement from addkmwdwamkdkum. 1/35 Two letters picked without replacement from jjeeee. Give prob of sequence jj. 1/15 What is prob of sequence yyyi when four letters picked without replacement from yiyiiyiyyyyyyy? 120/1001 Three letters picked without replacement from hhhhhhhhhh. Give prob of sequence hhh. 1 Four letters picked without replacement from ymeymymemaymeyamm. Give prob of sequence yema. 1/272 Calculate prob of sequence dnv when three letters picked without replacement from vnfnvndfffunvvduf. 2/255 Calculate prob of sequence mmmh when four letters picked without replacement from mmmmmhmmmmmmmmm. 1/15 Three letters picked without replacement from {a: 2, f: 1, o: 2}. What is prob of sequence aof? 1/15 Calculate prob of sequence mj when two letters picked without replacement from {m: 1, l: 1, j: 2, e: 1, u: 2}. 1/21 Two letters picked without replacement from zssszzszzssszsszsss. What is prob of sequence sz? 14/57 Four letters picked without replacement from {x: 1, d: 2, u: 1, s: 1, v: 2, c: 1}. What is prob of sequence xcds? 1/840 Calculate prob of sequence dd when two letters picked without replacement from aadakad. 1/21 Four letters picked without replacement from wwccccccc. What is prob of sequence cccc? 5/18 Four letters picked without replacement from {l: 1, j: 1, h: 1, b: 2, o: 1, s: 1}. Give prob of sequence shbl. 1/420 What is prob of sequence lj when two letters picked without replacement from {t: 7, l:
{ "pile_set_name": "DM Mathematics" }
ens digit of a? 1 What is the units digit of (-22 + 5)*-28 - (-12)/3? 0 Suppose -4*h - 15 = -9*h. Suppose -z = h*z - 116. Suppose d + 4*d + 3*n = 45, n = -4*d + z. What is the units digit of d? 6 Suppose -3*h + 613 + 1118 = 0. What is the tens digit of h? 7 Let q = -356 + 386. What is the units digit of q? 0 Let h(r) = -r**2 - r + 32. Let i be h(-6). What is the units digit of (208 - 8) + (-3 - i)? 5 Let h(z) = -3 + 4*z - 6 + z + 2. What is the tens digit of h(14)? 6 Let i(q) = -q**3 - 10*q**2 - 9*q + 3. What is the units digit of i(-10)? 3 Suppose 8*s - 10209 = -1713. What is the units digit of s? 2 Suppose 0 = 111*y - 101*y - 7030. What is the tens digit of y? 0 Suppose 0 = q + 6*q - 28. Let b(c) = 3*c - 47*c + 1 + q*c. What is the units digit of b(-1)? 1 Suppose -a = -5*a + 8, 3*a = -4*x + 18. What is the units digit of 1*8*(x + -1)*1? 6 Let i be (8/(-32)*-36)/(1/23). Suppose i = d + 22. What is the hundreds digit of d? 1 Let h = -215 + 118. Let s = -31 - h. What is the units digit of s? 6 Suppose 2*z + 21 + 63 = 0. Suppose -3*k = 7 + 17. Let t = k - z. What is the units digit of t? 4 Let q = -14 + 9. Let r be (q - 1) + (-1 - -2). Let h = r - -15. What is the units digit of h? 0 What is the units digit of 8264/9 - 86/387? 8 Let x(y) = 4*y**3 - 6*y**2 - 2*y + 4. What is the tens digit of x(5)? 4 Let l(m) = 4*m + 3. What is the units digit of l(4)? 9 Let c(y) = 42 + 13 - 112 + 28 - 3*y. What is the units digit of c(-10)? 1 Let q(z) = -15*z**3 - 4*z**2 - 5*z - 14. What is the units digit of q(-4)? 2 What is the hundreds digit of 5489 - -9*(-36)/27? 4 Suppose -7*t - 1093 = -155. Let s = -57 - t. What is the tens digit of s? 7 Let n(t) be the third derivative of t**6/120 - 3*t**5/20 - 3*t**4/8 - t**3/2 + 13*t**2. What is the units digit of n(10)? 7 Suppose -o - 8 = -f - 5, -5*o - 5*f = -35. Let m be ((-3)/(-4))/(o/8). Suppose -4*x + 5 = -m. What is the units digit of x? 2 Let p be (-6)/(-10) - -14*(-3)/(-30). Suppose z = p*q - z - 94, -5*q - 4*z = -226. What is the tens digit of q? 4 Suppose 0 = 5*r + 2*z - 18, 7*r = 3*r + 5*z - 12. Suppose 2*o = -r*o. Suppose o*h - 3*h = -69. What is the units digit of h? 3 Let b(k) = 12*k + 10 + k**3 - 9*k**2 - 5*k**2 + k**2. What is the tens digit of b(12)? 1 Suppose -3*f = 0, 3*i = -i - 4*f + 8. Suppose i*t = v, v + 6*t - 6 = 2*t. Suppose -3*z = -5*o - 68 - 14, 0 = -z + v*o + 28. What is the units digit of z? 4 Let d(i) = i**3 - 8*i**2 + 2*i - 21. What is the units digit of d(11)? 4 Let g(b) = -4 - 6 - 3*b + 18 + 10. Let t be g(8). Let j = t - -31. What is the units digit of j? 5 Let x be (-1)/(-2)*4*1. Let p(b) = -4 - 1 - b**x - 7 - 14*b. What is the tens digit of p(-6)? 3 Let j be 335 + 164/(-52) + 4/26. Let k = j + -218. What is the tens digit of k? 1 Let v be 2/13 + 4/(-26). Suppose v = p + 33 - 222. What is the units digit of p? 9 Let y(v) = -66*v + 27*v + 6*v**2 - 2 + 35*v + v**3. Let z = -10 - -4. What is the units digit of y(z)? 2 Let f be (1/(-2))/(1/(-16)). What is the units digit of (-9)/(-6) + 316/f? 1 Let d(z) = 4*z**3 + 5*z**2 - 5*z + 1. Let r = 49 - 47. What is the tens digit of d(r)? 4 Suppose -81*q = -71*q - 3230. What is the tens digit of q? 2 Let g = 112 - 70. Let h(p) = -2*p**3 - 16*p**2 - 15*p - 12. Let v be h(-7). Let r = g + v. What is the units digit of r? 7 Suppose 2*b + w = 33, -4*b - 3*w + 61 = -2*w. Suppose 0 = 7*z - b - 84. What is the tens digit of z? 1 What is the tens digit of (-2)/6*(19 - 1501)? 9 What is the tens digit of -1*(-2 + 1)*22281/21? 6 Let g(w) = -w - 9 + 4*w**3 + 29 - 3*w**3. Suppose 0 = 4*z + 2*m, -5*z = -8*z - 5*m. What is the units digit of g(z)? 0 Let n(y) = -y**2 + 7*y - 10. Let i(q) = -2*q**2 + 14*q - 20. Let c(k) = -6*i(k) + 11*n(k). Let s(a) = 3*a + 2. Let t be s(2). What is the units digit of c(t)? 8 Suppose 0 = 5*a - 1539 - 81. What is the tens digit of a? 2 Let u be (-9)/(-21) + (-714)/(-49). Let h = 11 - u. What is the tens digit of (-86)/h*(3 + -1)? 4 Let f(j) = j**3 - 5*j**2 - 7*j - 5. Let v be f(7). Let y = v + -21. Suppose -3*n + y = -31. What is the units digit of n? 8 Let n = 42 - -34. Suppose w = -w + 2*i + n, w = -5*i + 44. What is the units digit of w? 9 Let v(r) = -r**2 + 14*r + 2. Let b be v(14). Let u be 5/(5/b) + 1. Suppose 2*x - 82 = -6*h + 4*h, -u*x + 124 = 4*h. What is the units digit of x? 0 Suppose 0 = i - 3*k + 18 + 126, -3*i - 3*k - 444 = 0. Let j(g) = 2*g - 4. Let s be j(6). What is the units digit of (i/(-14))/(6/s)? 4 Let o(y) = -y**3 + 5*y**2 + 24*y + 1. Let g be o(8). What is the units digit of (191 - (0 - 2))*g? 3 Suppose -3*z - 5*a - 251 = -4*z, 792 = 3*z - 2*a. What is the hundreds digit of z? 2 Let c be (-28)/35*(-110)/4. Suppose -2*g - 2*g = -2*l - c, -3*g = l - 14. What is the units digit of g? 5 Let n(i) = 6*i - 17. Suppose -j - 3 = -9. What is the tens digit of n(j)? 1 Let x be (3 - -24 - 2) + 3. Let p = x + -13. Suppose -4*r + s - 21 + 106 = 0, 0 = r + s - p. What is the units digit of r? 0 What is the units digit of (((-471036)/(-24))/17)/(1/2)? 9 What is the tens digit of (50 - 51) + 798/1? 9 Let x(j) = 257*j - 152. What is the hundreds digit of x(6)? 3 Let o(j) = -14*j - 122. What is the units digit of o(-27)? 6 Let h be (1 - 7/2)/(11/22). Let m(i) = 12*i - 132. Let j(k) = k - 12. Let g(l) = 32*j(l) - 3*m(l). What is the units digit of g(h)? 2 Let r(u) = -38*u**3 - 14*u**2 - 22*u - 7. What is the hundreds digit of r(-4)? 2 Let x be (132/30)/((-1)/20). Let l = x - -188. Suppose -4*u = -0*u - l. What is the units digit of u? 5 What is the hundreds digit of 604 + 64/(48/6)? 6 Suppose -722 = 6*v + 46. Let w = 5 - v. What is the tens digit of w? 3 Let o = -117 + -117. Let i = -3 - o. What is the tens digit of i? 3 Let i = -3116 - -6740. What is the tens digit of i? 2 Let c(t) = -6*t - 5. Let w(b) = 25*b + 20. Let d(u) = 9*c(u) + 2*w(u). What is the units digit of d(-8)? 7 Suppose 4*z + 4*q + 4 = 0, -4*z = q + 2 - 7. Suppose 2*r = 2*c + 44, -2*c = -c - z*r + 19. Let n = -12 - c. What is the tens digit of n? 1 Let n = -46 + 132. Let b = n - 39. What is the units digit of b? 7 Let a(f) = -17*f + 16. What is the tens digit of a(-4)? 8 Suppose -1 = 7*l + 27. Let m(f) = 8*f**2 + 11*f + 4. What is the tens digit of m(l)? 8 Let p(h) = 8*h + 26. Let c be p(-7). What is the tens digit of 40 - ((-48)/c - (-2)/5)? 3 Let a(i) = i**2 - 2. Let s be a(3). Suppose 100 = s*d - 2*d. What is the tens digit of d? 2 Let g(q) = 3*q**2 - 4*q + 2. Let i be g(14). Let u = -361 + i. What is the tens digit of u? 7 Let c = 1213 + -845. What is the tens digit of c? 6 Suppose 1775 = 2*m - 3*b, 12*m - 14*m + 4*b = -1780. What is the tens digit of m? 8 What is the tens digit of -6 + (10*(-5)/10 - -755)? 4 Let h = -49 - -35. Suppose -5*u = -3*i - 2066, 2*i + 0*u - 4*u = -1376. What is the tens digit of i/(-28) - 4/h? 2 Suppose 8*h - 127 = 4*h + 5*i, h - 40 = 4*i. Suppose -3*f + 2*f = c + h, -5*f + 15 = 0. Let s = c + 86. What is the units digit of s? 5 Suppose -684 = -d - z, -5*d + 755 + 2663 = 3*z. What is the hundreds digit of d? 6 Let f = -693 - -1070. What is the tens digit of f? 7 Suppose 2*y - 4*r = 20, -5 = -0*y + 2*y + r. Suppose 4*q + 262 - 718 = y. Suppose 0 = 4*g - g - q. What is the units digit of g? 8 Let q(j) be the third derivative of -j**5/15 + j**4/6 - 4*j**3/3 - 3*j**2. Let f be q(-6). What is the tens digit of 3/(6/f*-4)? 2 Suppose 4*c + 6*l - 37 = l, 2 = -c - 5*l. Let v = c + 20. What is the units digit of v? 3 Let h(t) = -t**2 - 5*t - 6. Let z be h(-13). Let u = z + 56. What is the tens digit of (-20)/(-3)*u/(-12)? 3 Let t(p) = -56*p - 285. What is the units digit of t(-20)? 5 Let y = -272 + 478. What is the hundreds digit of y? 2 Let g be (-1)/4 - (-45)/20. Suppose 2*o - 200 = h, o + g*h + 196 = 3*o. What is the hundreds digit of o? 1 Let h = 8 - 5. Suppose -3*g = -c + 5*c - 35, h*g + 9 = 0. What is the tens digit of c? 1 Let v = 156 + 176. What is the tens digit of v? 3 Suppose 3493 = 3*m - 5*u, 6*m - 9*m + 3533 = 5*u. What is the tens digit of m? 7 Suppose 24 = 4*h - 0. Suppose -144 = -4*n + 5*r, 11*r = h*r. What is the tens digit of n? 3 Let s be 25266/(-27) + 2/(-9). What is the tens digit of 8/20 - s/10? 9 Let b = -817 - -2064. What is the units digit of b? 7 What is the units digit of 4/(-28) - 12602*(-1)/14? 0 Suppose -4
{ "pile_set_name": "DM Mathematics" }
ppose j = -3*i + 18, 3*j + 5 + 7 = 2*i. What is the highest common factor of i and g? 6 Suppose -4*c = -k - 15, 0 = -0*k + 5*k + c + 33. Let b = 16 + k. Calculate the highest common divisor of b and 27. 9 Let p = 31 - 19. Suppose 5*n - 4*c - 12 = 0, -4*c + 20 = 3*n - 0. Suppose n*l + 72 = 5*v, 0*l + l - 57 = -5*v. What is the highest common divisor of p and v? 12 Suppose -2*z + z = -50. Let q = 116 - z. Suppose -c - 4*f - 10 = 0, 6*f = c + f - 26. Calculate the highest common factor of q and c. 6 Suppose 4 = -2*x, -l + 3*x + 16 = -0*x. Calculate the highest common divisor of 80 and l. 10 Let c be (-3)/18 + (-194)/(-12). Let k be (-1)/(-3) - (-14)/(-6). Let i = k + 6. Calculate the greatest common factor of i and c. 4 Let l = 6 + 4. What is the highest common divisor of l and 25? 5 Let n(b) = b**2 + 3*b - 4. Let w be n(-6). Calculate the highest common factor of w and 2. 2 Let w = 44 - -46. What is the highest common divisor of w and 36? 18 Suppose 0 = -2*t - 2 + 8. Suppose -2*r + 3*r = 3. Suppose r*g + g - 4 = -2*b, t*g = -5*b + 24. Calculate the highest common factor of b and 1. 1 Let p(i) = i**3 + 11*i**2 - 2*i - 13. Let l be p(-11). Calculate the greatest common factor of 27 and l. 9 Let g(n) be the second derivative of 3*n**4/4 + n**2 + n. Let k be g(2). Let u = -25 + 44. Calculate the greatest common divisor of u and k. 19 Suppose -45 = -3*m - 0*m. Calculate the greatest common factor of 75 and m. 15 Let o(b) = 9*b**3 - b**2 - 3*b - 1. Let z be o(-1). Let j be (12/z)/((-9)/12). Calculate the greatest common divisor of 1 and j. 1 Let i be (66/18)/((-1)/(-15)). Let k(l) = l**3 + 3*l**2 - 2*l + 3. Let m be k(-5). Let v = m + i. Calculate the greatest common divisor of v and 2. 2 Let x = 14 + 2. What is the greatest common divisor of x and 64? 16 Suppose -2*j + 10 = -4*q, 4*j + 3*q = -0*j - 2. Let k be ((-64)/(-10))/(j/15). Suppose 4*i = k + 64. What is the greatest common factor of 5 and i? 5 Let u = 394 + -163. Calculate the greatest common divisor of u and 21. 21 Suppose 0 = -5*r + 47 + 13. Let b be -19*1/2*-2. Let p = b - r. Calculate the greatest common factor of p and 56. 7 Suppose -6*b - 12 = -2*x - 4*b, 0 = -2*x + 5*b + 24. What is the highest common divisor of x and 20? 2 Let m be (6 - 4) + (4 - -1). Let a be 3*(8/(-3))/(-2). Suppose 276 - 4 = 5*h - a*g, 3*h = -2*g + 172. What is the highest common divisor of m and h? 7 Suppose -z + 25 = -3*g + 2*g, -4*z + 95 = -3*g. Suppose 6*c + 0*c = 180. Calculate the greatest common factor of c and z. 10 Suppose -2*w = u - 63, -5*u - 2*w = -4*w - 279. Let c = u + -27. What is the highest common factor of 10 and c? 10 Suppose -q - 2*l = -6*q - 113, -2*l = -8. Let j be (3 + q)*(-6)/4. Calculate the greatest common divisor of 3 and j. 3 Let g(t) = -t**3 + 4*t**2 - 2*t. Let y be g(2). Let s(k) = -7*k + 14*k + 0 + 2. Let i be s(y). Calculate the highest common divisor of 15 and i. 15 Let v be -1*(1 - (3 + -2)). Suppose v = -r - 2*r. Suppose -2*d + 373 + 23 = r. Calculate the greatest common divisor of d and 22. 22 Suppose -o = 3*i - 0*i - 50, -o - 78 = -5*i. What is the greatest common factor of i and 176? 16 Suppose y - 40 = 6*y. Let w be 1*-4 + 1*-1. Let b be (30/y)/(w/40). Calculate the highest common divisor of 12 and b. 6 Suppose 5*s - 82 = -4*i, s = 4*s - 5*i - 27. What is the highest common divisor of s and 14? 14 Suppose 3*i = -4*f + 23, -5*i + 2*f - 7 + 2 = 0. Let m be i*3 + (-2 - -2). Calculate the highest common divisor of m and 21. 3 Let n(i) = i**2 + 16*i - 23. Let f be n(-18). Calculate the highest common factor of 143 and f. 13 Let y be (-1 - (2 + -6)) + 1. Let h = 169 + -99. Suppose h = 2*l + k - 4*k, -5*l + k = -162. Calculate the highest common divisor of l and y. 4 Let k = 7 - -3. Suppose 0 = 2*g + 4*p - 208, -538 = -5*g - 0*p - 4*p. Calculate the greatest common divisor of k and g. 10 Suppose -2*l - 8 = -0*s - 3*s, 4*l = -4. Suppose -1 - 4 = -w, 22 = 2*u - 2*w. Calculate the greatest common divisor of s and u. 2 Let p be (4/5)/(9/(-90)). Let l = 10 + p. What is the highest common factor of 2 and l? 2 Suppose 4*d - 12 = -0*d. Suppose -49 = -4*u + 3. Suppose d*f = -i + 14, i - 4*f = 2*i - u. Calculate the greatest common factor of i and 17. 17 Suppose 2*v = -3*l - 2*v + 548, 3*v - 366 = -2*l. What is the greatest common factor of l and 20? 20 Suppose 0 = 5*b - 2*g - 85, 2*b + g = -4*g + 34. What is the greatest common divisor of b and 136? 17 Let y(n) be the first derivative of 2*n**3/3 - 9*n**2/2 + 6*n + 1. Let d be y(6). What is the highest common factor of d and 3? 3 Let q(a) = 3*a**3 - 6*a**2 + 5*a + 4. Let l be q(4). Let f be (-1)/(-1) + 57/3. Let g be (1 + (0 - 0))*f. What is the greatest common factor of l and g? 20 Let i(h) be the third derivative of h**5/12 + h**4/24 + h**3/6 + h**2. Let o be i(-2). What is the highest common divisor of 38 and o? 19 Suppose 0 = 2*k - 10, 0*u = 2*u + k - 9. Suppose 4*n - u*n = 80. Calculate the highest common divisor of 16 and n. 8 Let q = 39 + -25. Calculate the greatest common factor of 21 and q. 7 Let t = -3 - -15. Let v(w) = -9*w + 3. Let c be v(-3). Suppose 2*z = z + c. What is the highest common divisor of t and z? 6 Suppose 5*j = 2*j + 27. What is the greatest common factor of j and 9? 9 Let m be (-2)/4*0/(-2) - -7. What is the greatest common divisor of m and 21? 7 Let v(u) = u**2 + 2*u - 2. Suppose -g - 3*l = 7, -4*g + 2*l - 17 = 3*l. Let z be v(g). Calculate the greatest common divisor of z and 6. 6 Let o be -12 + 2/3*3. Let l be (-536)/o + (-6)/(-15). Let m = l - 26. Calculate the highest common factor of m and 70. 14 Let b be (-2)/11 - 14/(-77). Let w be 118 - (0 + b) - -3. What is the highest common factor of 11 and w? 11 Suppose 0 = -3*z - 0*z + 105. Suppose 2*t - z = -3. Calculate the highest common divisor of t and 24. 8 Suppose -3*a + 31 = 5*f, -38 = -2*a - 5*f - 9. Let j be 11/(1/1)*a. Calculate the highest common divisor of 11 and j. 11 Suppose -4*j + 1848 = 4*j. Calculate the highest common divisor of 33 and j. 33 Let w = -1 - -14. Calculate the greatest common factor of 104 and w. 13 Let o(c) = c**2 + 2*c + 4. Let y be o(-3). Let f = y - -4. Calculate the greatest common divisor of f and 121. 11 Let q be (-4)/(-14) - (-290)/14. Let p = 2 + q. Let u be 45 + (0 - -1) + 0. What is the greatest common factor of p and u? 23 Suppose -4*m - 2*j + 276 = 0, -2*m - j + 342 = 3*m. What is the greatest common factor of m and 102? 34 Suppose 45 = 19*h - 14*h. Calculate the greatest common factor of 1 and h. 1 Suppose -6 = a - 22. Suppose -a = -3*r + 8. Let b = 7 - -65. What is the greatest common factor of b and r? 8 Let j(f) = f**2 - 6*f - 4. Let z be j(-4). What is the greatest common divisor of z and 12? 12 Let h be (-18)/12*(-40)/(-6). Let l(a) = a**2 + 10*a + 5. Let p be l(h). Calculate the highest common divisor of p and 5. 5 Let d(s) = -2*s + 3. Let w be (-6)/4*20/(-3). Suppose 4*z + 2*t = -t - 5, -w = 3*z + t. Let o be d(z). Calculate the greatest common factor of o and 52. 13 Let s(h) = 6*h**2 - h + 2. Let g be s(-2). Let t = 1 - -7. Suppose 3*m - 4 = t. Calculate the highest common factor of g and m. 4 Let b = 8 - 27. Let s = b + 39. What is the highest common factor of 8 and s? 4 Suppose 7*l - 9*l = -120. Calculate the greatest common factor of l and 20. 20 Let w(u) = 3*u**2 + 2*u**2 - 7 - 2*u - 3*u + u**3. Let h be w(-5). Calculate the greatest common divisor of h and 6. 6 Suppose 0 = t - 4 - 41. Suppose -4*y - 2*k + 8 = -16, -2*y = 4*k - 18. Suppose 0 = 5*n - y*v - t, v + 4 = -v. Calculate the highest common divisor of 7 and n. 7 Suppose 3*f + 0 + 10 = -2*t, 0 = -4*f. Let n be 238/(-35)*t/2. Calculate the greatest common divisor of 51 and n. 17 Let x(b) = -b**2 + 18*b - 30. Let k be x(15). Calculate the highest common divisor of k and 135. 15 Suppose -z + 2*z = -h + 151, 4*h - 760 = -5*z. Calculate the greatest common factor of 12 and z. 12 Let b be 2/(-9) - (-7)/(-9). Let k be (-6 - 7)*(-2 - b). Calculate the highest common divisor of k and 65. 13 Let f = 9 + 13. Calculate the highest common factor of 154 and f. 22 Let c be (-4)/(-16) - (-2)/(-8). Suppose -2*r = -c*r - 12. Let o(w) = w**3 + 7*w**2 - 2*w + 6. Let l be o(-6). What is the greatest common divisor of r and l? 6 Let s be ((-12)/(-5 + 1))/1. Calculate the
{ "pile_set_name": "DM Mathematics" }
11, 23 Let s(v) = 7*v + 10. What are the prime factors of s(6)? 2, 13 Let c(a) = 7*a**3 - 2*a**2 - 9*a - 5. Let j(l) = 15*l**3 - 5*l**2 - 19*l - 11. Let h(z) = 13*c(z) - 6*j(z). What are the prime factors of h(3)? 5, 11 Suppose -64 = -2*p - 0*u + 2*u, 3*u = -2*p + 89. What are the prime factors of p? 37 Let o(v) = -4*v - 2. Let x be o(-8). Suppose 2*c - 20 - x = 0. What are the prime factors of c? 5 Let i be 6/(-10) + (-66)/(-10). Let t(c) = -c**2 + 9*c - 6. List the prime factors of t(i). 2, 3 Let a = 18 - 10. Let s = 10 - a. List the prime factors of s. 2 Let g be 2*-5*(-90)/(-25). Let b = -23 - g. What are the prime factors of b? 13 Let v(p) = -29*p - 10. Let i be v(-5). Suppose -109 = -3*k - 4*y, 0 = 3*k + 3*y + 27 - i. List the prime factors of k. 5, 7 Let d(h) = h**3 + 7*h**2 - 7*h + 9. Let i be d(-8). List the prime factors of 16 + (4 + -2)/i. 2, 3 Suppose 0 = -3*y - y + 8. What are the prime factors of y? 2 Let j(y) = y + 9. Let u be j(0). Suppose 0 = -3*l + 2*f + 62, 3*l = -3*f + 48 + u. List the prime factors of l. 2, 5 Let y(d) be the third derivative of -d**4/12 - d**3 - 3*d**2. Let p be y(-4). Suppose -o + 3*s + p*s = 17, -5*o = 4*s - 60. What are the prime factors of o? 2 Suppose -20 = -6*y + 5*y. Suppose y = l + 1. What are the prime factors of l? 19 Let y(q) = 10*q - 1. List the prime factors of y(5). 7 Let u be 52 - (-5)/(10/4). Suppose -2*f - w + 45 = 0, 0*f - 3*w = -3*f + u. List the prime factors of f. 3, 7 Let f be 4/(-5) - (-32)/(-10). Let c(x) be the second derivative of -x**3/6 - x**2/2 - x. What are the prime factors of c(f)? 3 Suppose 3*w + 3 = -x, 7 + 4 = -w + 3*x. Let y = 2 - w. What are the prime factors of y? 2 Let w(v) = v**3 - 5*v**2 + v - 1. Let x be w(5). Suppose 32 = 4*y - x*d, 3*y + d - 6 = 6. List the prime factors of y. 5 Suppose -8 = 4*y - 4*w, 2*y + w = -4*w + 17. Let s = 2 + y. List the prime factors of 1*s - (3 - 13). 13 Suppose -h = -3*h + 8. Let g(c) = 2*c - 5. Let l be g(h). Suppose -6*r + 2*r + 11 = l*m, m + 2*r - 3 = 0. What are the prime factors of m? 5 Suppose 10 = 2*k - 10. Suppose -5*a + 3*a - 3*f - 28 = 0, -5*f = 0. What are the prime factors of (-52)/a + k/35? 2 Let c be -11*(-3 + 2)*1. Let j = c + 1. List the prime factors of j. 2, 3 Let v(g) = 5*g. Let h be v(1). Suppose -6 = -2*j + h*q + 9, 3*j = 3*q + 27. List the prime factors of 5*2*j/25. 2 What are the prime factors of 1/3 + (-1179)/(-27)? 2, 11 Suppose 5*l - 2 = 6*l. Let h(i) = -i**3 + 6*i**2 + 2*i + 4. Let r(n) = -n**3 + n**2 - n + 1. Let t(a) = h(a) - 2*r(a). What are the prime factors of t(l)? 2 Suppose -2*q + 0*r + r - 13 = 0, q + 9 = r. What are the prime factors of 2/((-24)/63)*q? 3, 7 Let t(q) = 7*q**2 + 4*q - 3. Let x be t(2). Suppose -2*f - 4*z + 32 = 0, -5*f + 2*f = 3*z - x. Let p = f + 3. List the prime factors of p. 3 Suppose 4*q + y + 0*y = -15, y - 6 = 3*q. List the prime factors of 16 - (-4)/(-12)*q. 17 Let f = 51 + -37. What are the prime factors of f? 2, 7 Let c = -22 + 29. Suppose -4*i - c = -67. What are the prime factors of i? 3, 5 Let s(l) = -8 - 4 + 3 + 0*l + 3*l. List the prime factors of s(13). 2, 3, 5 Let h = -121 + 340. What are the prime factors of h? 3, 73 Suppose 6 - 18 = 3*b. List the prime factors of 1 + -2 + (b - -11). 2, 3 Suppose -5*k + 104 + 23 = -4*j, 130 = 5*k - 5*j. Let b = k + -13. List the prime factors of b. 2, 5 Suppose -4 + 19 = -5*g, 3*a + 4*g = 0. Suppose a*y = y + 114. List the prime factors of y. 2, 19 Suppose 5*g + 2*p = 44, -3*g - 2*g + p = -53. Let a(h) = -h**3 + 9*h**2 + 12*h + 7. What are the prime factors of a(g)? 3 Suppose n = 2*w + 3, -4*w + 4*n - 12 = -0*n. Suppose w = -0*a + 2*a - 12. Suppose -a - 12 = -3*u. What are the prime factors of u? 2, 3 Suppose -2*q = 4*n + 12, 0 = -4*n + 4*q - 17 - 7. Let b(f) be the first derivative of f**4/4 + 5*f**3/3 + f**2 - 3*f + 1. What are the prime factors of b(n)? 5 Let g(b) = -2*b - 4. Let h be g(-5). Suppose 9 = 3*x - h. Suppose 2*q - 6*k + 2 = -4*k, -k = x*q - 25. List the prime factors of q. 2 Let x(c) = -c**2 + 5*c + 4. Let r be x(5). What are the prime factors of (2/r)/((-3)/(-48))? 2 Suppose -29 = -4*q + 83. Suppose m = q - 6. What are the prime factors of m? 2, 11 Let r(d) = -d**2 + 11*d - 2. Let g be r(9). Let w = -13 + g. List the prime factors of w. 3 Let c = 56 - 25. What are the prime factors of c? 31 Let c(m) = m**2 + 5*m - 5. Let y be (-1)/(2/2)*5. Let p be c(y). List the prime factors of 10 - (-5)/(p/2). 2 Let k = 48 + 124. What are the prime factors of k? 2, 43 Let x(z) = 31*z**2 + z + 1. What are the prime factors of x(-1)? 31 Let b = 24 - -4. Let t = b + 12. List the prime factors of t. 2, 5 Let w = 211 - 151. Suppose 5*m - 2*t - w = 0, 0*t = -4*m + 3*t + 55. List the prime factors of m. 2, 5 Let v(z) = 5*z - 9. What are the prime factors of v(5)? 2 Let m(h) be the second derivative of -3/2*h**3 - 3*h + 1/2*h**2 + 0. What are the prime factors of m(-1)? 2, 5 Let h be -1 + 1 - (-3 - -3). Let g = h - -6. List the prime factors of g. 2, 3 Let x(l) = -l**3 - 10*l**2 + l + 10. Let d be x(-10). List the prime factors of 1 - ((-2 - d) + 0). 3 Suppose 8 + 13 = 3*q - 3*i, 18 = 2*q - 3*i. Let f(p) = -3*p + q*p + p + 4. What are the prime factors of f(0)? 2 Let v = 19 + -11. Let k = -10 + v. What are the prime factors of k/7 - (-568)/28? 2, 5 Let d(i) = -17*i - 22. What are the prime factors of d(-9)? 131 Suppose -6*z + 37 + 23 = 0. List the prime factors of z. 2, 5 Suppose -28 = -v - 6. List the prime factors of v. 2, 11 Let g(y) = y**3 + 7*y**2 + 6*y + 15. What are the prime factors of g(-6)? 3, 5 Suppose 0 = 4*o - h - 133, 4*o - 3*h - 121 = 2*h. List the prime factors of o. 2, 17 Suppose 5*j = 11 + 9. Suppose -2*r - 22 = -j*r. What are the prime factors of r? 11 Let t = -21 + 39. Let x = t + -13. Suppose 4*i = z + 30, 0 = -i - z + x. What are the prime factors of i? 7 Let q = 121 - -7. What are the prime factors of q? 2 Let n be (14/35)/(1/65). Suppose 3*o - 2*m = n, -2*o + 5*m = -12 + 2. List the prime factors of o. 2, 5 Suppose 3*b - 76 = 11. Let w = -16 + b. List the prime factors of w. 13 What are the prime factors of 4 - (-2 - (-3 + 32))? 5, 7 Let k(a) = -a - 9. Let l be k(-7). Let o(u) = -u. Let b(p) = -6*p**2 + 3*p. Let c(g) = -b(g) - 6*o(g). List the prime factors of c(l). 2, 3 Let l be (-3)/(-3) - -1 - -2. Suppose 0*k = l*k - 88. List the prime factors of k. 2, 11 Let k = -22 + 52. What are the prime factors of k? 2, 3, 5 Let i(k) be the third derivative of k**6/120 + k**5/60 + 2*k**3/3 - k**2. List the prime factors of i(0). 2 Let p(y) = 3*y - 9. What are the prime factors of p(8)? 3, 5 Suppose a + 4*g = 77, 4*a + 0*g = 3*g + 346. Suppose a = 5*v - 0. List the prime factors of v. 17 Let w = 8 + -2. Let q(z) = 8 - 2*z - 5*z**2 + 4*z**2 + 8*z. What are the prime factors of q(w)? 2 Let l(x) = x**3 + x + 43. Let b be l(0). Let d be (62/(-6))/(2/6). Let k = d + b. List the prime factors of k. 2, 3 Let o = 32 + 6. What are the prime factors of o? 2, 19 Suppose -990 = -63*n + 58*n. What are the prime factors of n? 2, 3, 11 Let f(z) = z**3 - 8*z**2 + 7*z + 8. Let i = 14 + -8. Let o be f(i). Let l = -6 - o. List the prime factors of l. 2 What are the prime factors of (-2)/(-1 + (-165)/(-175))? 5, 7 Suppose j + 6 = -j, -4*x + 35 = -5*j. Let t = 8 - x. Suppose -2*v = -2, -v = -t*l + 29 - 6. What are the prime factors of l? 2 Let t(r) = 3 + 1 - 3*r**3 + 5*r - 3*r**2 + 2*r**3. Let l be t(-3). Let b(k) = -k**3 - 10*k**2 + 9*k - 14. What are the prime factors of b(l)? 2 Let b = 31 + 5. What are the prime factors of b? 2, 3 Let r = -18 + 24. List the prime factors of r. 2, 3 Suppose -2*f = -51 - 41. List the prime factors of f. 2, 23 Let h = -83 - -118. List the prime factors of h. 5, 7 Suppose k = -0*k + 3. Suppose -9 = -3*u + k*d, 0 = -u + 6*u - d - 27. List the prime factors of u. 2, 3 Let l(y) = -y**3 + 20. Suppose 5*a = 10, 3*k + 0*k = 5*a - 10. List the prime factors of l(k). 2, 5 Suppose -1 = -4*i - 13. What are the prime factors of (1/i)/((-5)/210)? 2, 7 Suppose -532 = -8*m + 1276. List the prime factors of m. 2, 113 Suppose n + 4*v = 12, 0 = -2*n + 2*v + 4. Let q(u) = -u**3 + 4*u**2 + 5*u - 5. List the prime factors of q(n). 3, 5 List the prime factors of 4*1/3*18. 2, 3 Suppose -z - 2*m + 7*m + 31 = 0, -z - 19 = 5*m. List
{ "pile_set_name": "DM Mathematics" }
1 (base 2) to base 14 33 Convert -2 (base 15) to base 13. -2 -27 (base 9) to base 7 -34 35 (base 8) to base 16 1d 43 (base 15) to base 16 3f What is 10 (base 2) in base 4? 2 What is -1 (base 8) in base 13? -1 What is -10 (base 10) in base 13? -a 9a (base 12) to base 8 166 -1122 (base 3) to base 9 -48 What is -4c (base 15) in base 8? -110 Convert 2 (base 6) to base 14. 2 Convert 110122 (base 3) to base 5. 2331 0 (base 15) to base 6 0 Convert 321 (base 6) to base 4. 1321 -1b (base 15) to base 4 -122 Convert 0 (base 9) to base 14. 0 Convert -2 (base 13) to base 16. -2 What is 102201 (base 3) in base 13? 1b4 1c (base 16) to base 5 103 Convert 0 (base 15) to base 7. 0 Convert -15 (base 11) to base 8. -20 What is -75 (base 8) in base 15? -41 What is -5 (base 13) in base 6? -5 Convert -10 (base 3) to base 12. -3 What is -46 (base 12) in base 10? -54 -87 (base 14) to base 7 -230 What is -4 (base 9) in base 5? -4 Convert -143 (base 5) to base 16. -30 -1 (base 4) to base 14 -1 What is 26 (base 7) in base 5? 40 Convert -3 (base 16) to base 2. -11 Convert 37 (base 11) to base 2. 101000 Convert 35 (base 12) to base 8. 51 What is 7 (base 15) in base 3? 21 What is 11100 (base 2) in base 16? 1c 3 (base 15) to base 3 10 12 (base 6) to base 7 11 What is 13 (base 15) in base 13? 15 5 (base 15) to base 11 5 What is 6 (base 14) in base 16? 6 Convert -2 (base 13) to base 8. -2 22 (base 3) to base 9 8 What is 210 (base 4) in base 13? 2a Convert c (base 13) to base 15. c What is -379 (base 10) in base 14? -1d1 -5 (base 14) to base 7 -5 Convert 1 (base 7) to base 9. 1 -39 (base 13) to base 7 -66 Convert -14 (base 5) to base 14. -9 -c (base 15) to base 9 -13 Convert 304 (base 7) to base 15. a1 16 (base 13) to base 9 21 -2 (base 12) to base 4 -2 Convert -65 (base 14) to base 11. -81 What is 255 (base 6) in base 5? 412 10212 (base 4) to base 14 170 What is 10110 (base 2) in base 14? 18 Convert -5 (base 15) to base 5. -10 100 (base 3) to base 6 13 What is 1 (base 15) in base 2? 1 What is -9 (base 16) in base 10? -9 Convert 55 (base 7) to base 12. 34 What is -a (base 14) in base 12? -a c (base 13) to base 15 c -26 (base 10) to base 14 -1c Convert -240 (base 9) to base 7. -402 What is -2d (base 15) in base 7? -61 What is -12 (base 4) in base 6? -10 -230 (base 4) to base 9 -48 1 (base 5) to base 7 1 8 (base 15) to base 4 20 6 (base 11) to base 15 6 What is 14 (base 6) in base 4? 22 -2 (base 5) to base 13 -2 Convert -111110 (base 2) to base 9. -68 2 (base 5) to base 9 2 Convert -1 (base 2) to base 11. -1 2 (base 12) to base 7 2 -31 (base 15) to base 14 -34 What is -2 (base 13) in base 15? -2 What is 4 (base 8) in base 3? 11 Convert -143 (base 5) to base 7. -66 What is 130 (base 6) in base 11? 4a What is -121 (base 5) in base 12? -30 -2a (base 13) to base 12 -30 -2 (base 7) to base 10 -2 -a (base 13) to base 15 -a Convert 4c (base 14) to base 7. 125 Convert 2 (base 11) to base 2. 10 What is -1 (base 9) in base 10? -1 What is -13 (base 8) in base 14? -b Convert -41 (base 5) to base 8. -25 What is 96 (base 10) in base 2? 1100000 Convert -64 (base 13) to base 10. -82 What is -11 (base 3) in base 6? -4 What is -11 (base 3) in base 7? -4 Convert 2 (base 6) to base 3. 2 Convert -11 (base 11) to base 10. -12 311 (base 7) to base 10 155 Convert 6 (base 10) to base 15. 6 What is 15b (base 12) in base 3? 21222 -4 (base 9) to base 13 -4 What is -2 (base 4) in base 11? -2 What is 10110 (base 2) in base 6? 34 What is 8 (base 9) in base 4? 20 20 (base 3) to base 12 6 Convert -2 (base 7) to base 16. -2 Convert 7 (base 16) to base 11. 7 1 (base 13) to base 10 1 What is 21 (base 9) in base 14? 15 -35 (base 12) to base 11 -38 What is 12 (base 4) in base 9? 6 1011 (base 3) to base 16 1f -4 (base 6) to base 14 -4 Convert -46 (base 7) to base 3. -1021 101 (base 2) to base 11 5 Convert -13 (base 9) to base 2. -1100 Convert -95 (base 10) to base 6. -235 What is 4 (base 10) in base 15? 4 What is 14 (base 5) in base 10? 9 -13 (base 13) to base 7 -22 What is 10 (base 12) in base 14? c What is 37 (base 10) in base 13? 2b b (base 15) to base 9 12 Convert 30 (base 13) to base 5. 124 What is -15 (base 7) in base 2? -1100 What is -100 (base 3) in base 4? -21 What is 1 (base 16) in base 2? 1 23 (base 5) to base 4 31 -24 (base 8) to base 4 -110 Convert -1 (base 6) to base 7. -1 What is db (base 16) in base 13? 13b Convert -4 (base 11) to base 8. -4 What is 43 (base 7) in base 10? 31 Convert 10 (base 3) to base 14. 3 What is 12 (base 9) in base 2? 1011 3 (base 12) to base 15 3 26 (base 13) to base 7 44 -2d (base 15) to base 9 -47 7 (base 13) to base 7 10 Convert 100001110 (base 2) to base 3. 101000 9 (base 12) to base 14 9 Convert -38 (base 15) to base 11. -49 25 (base 15) to base 4 203 Convert -8 (base 15) to base 4. -20 Convert -163 (base 8) to base 2. -1110011 Convert -2 (base 7) to base 16. -2 Convert 10 (base 2) to base 7. 2 -78 (base 9) to base 16 -47 Convert -2 (base 3) to base 15. -2 Convert 84 (base 15) to base 3. 11121 What is -2 (base 7) in base 3? -2 1001110 (base 2) to base 6 210 Convert 331 (base 9) to base 8. 417 What is 21 (base 7) in base 5? 30 Convert -22 (base 10) to base 11. -20 What is -6b (base 16) in base 13? -83 Convert -10 (base 9) to base 13. -9 Convert 57 (base 10) to base 9. 63 3 (base 9) to base 10 3 -242 (base 6) to base 5 -343 Convert -10011 (base 2) to base 9. -21 What is 10 (base 3) in base 6? 3 Convert 26 (base 7) to base 2. 10100 What is 6b (base 13) in base 16? 59 Convert c6 (base 15) to base 13. 114 What is 110 (base 2) in base 13? 6 Convert -10 (base 6) to base 12. -6 -11 (base 11) to base 13 -c What is 1 (base 14) in base 16? 1 What is -25 (base 8) in base 7? -30 What is 1010100 (base 2) in base 4? 1110 Convert 12 (base 7) to base 16. 9 What is -1102 (base 3) in base 16? -26 0 (base 4) to base 3 0 Convert 21 (base 3) to base 4. 13 Convert 0 (base 2) to base 8. 0 What is 4 (base 9) in base 3? 11 What is 13 (base 6) in base 7? 12 Convert -106 (base 9) to base 7. -153 -12 (base 3) to base 9 -5 -74 (base 8) to base 5 -220 Convert -102 (base 3) to base 7. -14 -25 (base 10) to base 13 -1c 31 (base 15) to base 13 37 Convert 110 (base 8) to base 9. 80 What is 1 (base 2) in base 7? 1 1011 (base 2) to base 13 b What is -1103 (base 4) in base 2? -1010011 What is 2 (base 13) in base 14? 2 What is 1b (base 13) in base 5? 44 What is -3 (base 7) in base 2? -11 Convert -41 (base 9) to base 8. -45 What is -5 (base 10) in base 16? -5 322 (base 5) to base 7 153 Convert -3 (base 6) to base 11. -3 What is 3 (base 8) in base 3? 10 3 (base 15) to base 6 3 What is 34 (base 12) in base 4? 220 Convert -103 (base 4) to base 13. -16 Convert -330 (base 6) to base 9. -150 What is 4 (base 6) in base 3? 11 Convert -2 (base 15) to base 8. -2 3 (base 11) to base 5 3 What is 1 (base 12) in base 15? 1 Convert 10001 (base 3) to base 16. 52 What is -239 (base 11) in base 12? -1b8 What is -1d (base 16) in base 12? -25 Convert -1110 (base 2) to base 14. -10 Convert -1 (base 16) to base 3. -1 What is 4 (base 16) in base 6? 4 What is -83 (base 12) in base 6? -243 Convert -dd (base 16) to base 10. -221 What is 3 (base 7) in base 2? 11 Convert 4 (base 7) to base 8. 4 Convert -37 (base 14) to base 12. -41 1101001 (base 2) to base 9 126 Convert -3 (base 8) to base 16. -3 23 (base 14) to base 15 21 -26 (base 12) to base 4 -132 What is 3 (base 11) in base 13? 3 -132 (base 9) to base 16 -6e What is 13 (base 7) in base 5? 20 Convert 5 (base 6) to base 14. 5 What is 1 (base 16) in base 11? 1 What is -3 (base 15) in base 5? -3 Convert -2100 (base 3) to base 10. -63 a (base 15) to base 10 10 -210 (base 9) to base 6 -443 10001 (base 2) to base 9 18 Convert -111 (base 10) to base 3. -11010 155 (base 9) to base 8 203 24 (base 9) to base 15 17 What is -1 (base 8) in base 14? -1 Convert -2 (base 14) to base 2. -10 Convert -18 (base 11) to base 3. -201 What is 7 (base 14) in base 5? 12 Convert -33 (base 5) to base 14. -14 109 (base 14) to base 9 247 Convert 23 (base 12) to base 2. 11011 Convert -3 (base 5) to base 3. -10 0 (base 14) to base 3 0 What is 10 (base 4) in base 14? 4 What is 0 (base 9) in base 13? 0 What is -d (base 14) in base 8? -15 Convert 112 (base 3) to base 15. e -a (base 16) to base 10 -10 Convert -6 (base
{ "pile_set_name": "DM Mathematics" }
re the prime factors of p? 2, 3 Let h(s) = s**2 - 4*s + 5. Let b be h(-5). Let p be b/(-4) + (-2)/4. Let y = 19 + p. List the prime factors of y. 2, 3 Let p = -34 + 52. What are the prime factors of (24/p)/((-1)/(-27))? 2, 3 Let u(f) = 22*f**2 + 7*f + 14. What are the prime factors of u(-4)? 2, 13 What are the prime factors of (-346)/(-8) - 3/12? 43 Suppose 5*d + 55 = 6*d. What are the prime factors of d? 5, 11 Suppose -1 = -j + 3. Suppose 0*x - 96 = -j*x. What are the prime factors of x? 2, 3 Let z be ((-12)/(-8) - 3)*-2. Suppose 54 = 3*a + z*t, 0 = -5*a + 5*t - 11 + 121. What are the prime factors of a? 2, 5 Let s(x) = x**3 + 7*x**2 - x + 6. What are the prime factors of s(-7)? 13 Suppose -a + 2*x + 3 = -5, -10 = -4*a - 3*x. Suppose a*y + 11 = 3*c, -15 = 2*c - 6*c + 5*y. Let n(d) = 2*d**2 - 8*d + 5. List the prime factors of n(c). 3, 5 Suppose -7*q + 6*q + 53 = 0. What are the prime factors of q? 53 Let u(r) = 6*r - 5. Let k(h) = -h + 1. Let m(w) = -10*k(w) - 2*u(w). List the prime factors of m(-7). 2, 7 Let h be ((-4)/(-8))/((-2)/(-12)). Suppose n = -h*n. Let a = n + 6. List the prime factors of a. 2, 3 Suppose -72 = -3*s + 276. Suppose 36 + 114 = 4*z - 5*g, 3*z - 2*g - s = 0. List the prime factors of z. 2, 5 Suppose -3*y + 6 = -3. Suppose 5*f + z = -1, -4*z - 2 = -5*f - 2*z. Suppose n = -k + y*n - 5, -k - n + 7 = f. What are the prime factors of k? 3 Let c be (-5)/(105/(-18))*-7. Let m = 14 + c. List the prime factors of m. 2 Let v(q) be the second derivative of q**4/12 - q**3/3 - 3*q**2/2 - 3*q. Let u be v(-2). Let f = u + 9. List the prime factors of f. 2, 7 Let o be 0/(4*1/4). Suppose 2*j - 19 - 15 = o. List the prime factors of j. 17 Let w(o) = o - 4 + 6 - 5. What are the prime factors of w(11)? 2 Suppose 4*l = 2*i - 0*i - 12, 0 = -4*l + 3*i - 16. List the prime factors of 4 + 1 - (-2)/l. 3 Suppose 2*r + 18 = -4*z, 5*r + 5*z + 0*z = -25. Let w be (-3)/r*60/9. Suppose 4*h - 36 = -o, -3*h - o + w = -h. List the prime factors of h. 2 Suppose 3*o + o - 52 = 0. List the prime factors of o. 13 Let d be 4/(-16) + 14/(-8). List the prime factors of (-5)/(-10) + (-23)/d. 2, 3 Let w(t) = t. Let l(s) = -s + 1. Let a(m) = 3*l(m) + 5*w(m). Let z(k) = -k**2 + 5*k - 3. Let j be z(2). List the prime factors of a(j). 3 What are the prime factors of ((-58)/(-6))/((-4)/(-12))? 29 Suppose -4*u = -t + 122, -u - 443 = -6*t + 2*t. Suppose 3*y - y = t. Suppose -4*v + y = v. List the prime factors of v. 11 Let p(n) be the second derivative of 2*n**3/3 + n**2/2 - n. What are the prime factors of p(2)? 3 Let d(x) = 6*x + 5. Let p(n) = 5*n + 6. Let f(z) = -2*d(z) + 3*p(z). What are the prime factors of f(3)? 17 Let c(s) = 10*s - 55. List the prime factors of c(24). 5, 37 Let t be ((-28)/10)/(3/15). Let u = 6 - t. List the prime factors of u. 2, 5 Let v(t) = -t + 3. Let g be v(3). Suppose -4*y + g = -16. What are the prime factors of y? 2 Suppose 0 = -2*j + 37 + 3. List the prime factors of j. 2, 5 Suppose -4*z + 8 = 3*j - 6*j, 5*j = -4*z + 40. Let k = j - -10. Let c = k - 8. List the prime factors of c. 2, 3 Let t = -45 + 105. Let n = 108 - t. List the prime factors of n. 2, 3 Let o = 9 + 9. Let n be (-2)/(-5) + o/5. Suppose 3*v + 11 = n*v. What are the prime factors of v? 11 Let j = -20 + 50. Suppose 0*v = -v + j. List the prime factors of v. 2, 3, 5 Let a = 47 - 31. What are the prime factors of (-8)/a - 31/(-2)? 3, 5 Let k be -2*(2 + 21/(-6)). Suppose -2*f - 17 = -77. Suppose 44 = 5*m + 4*p, -5*p - f = -k*m + 26. List the prime factors of m. 2, 3 Let l(y) = y**3 - 6*y**2 + 5*y + 5. Let z be l(5). Let r(t) be the third derivative of t**4/12 - t**3/2 - 4*t**2. List the prime factors of r(z). 7 Suppose -2*i + 53 = 5*u - 100, -5*u + 64 = i. List the prime factors of i. 89 Suppose 0 = 4*l - 20. Suppose -g = -0*t + t - 17, l*t = -g + 5. What are the prime factors of g? 2, 5 Suppose 3*l - 5*l + 24 = 0. Suppose -g + l = 2*p, 3*p + p - 48 = -4*g. List the prime factors of g. 2, 3 What are the prime factors of ((-21)/(-28))/(1/64)? 2, 3 Let z(d) = -d + 8. Let s be z(6). Suppose s*a = 3*a + 2*f - 10, 0 = -3*a - 4*f + 30. Let y = a + -2. List the prime factors of y. 2 Let l = 0 - 3. Let w(x) = x**2 - x - 1. What are the prime factors of w(l)? 11 Let d = 91 - -80. What are the prime factors of d? 3, 19 What are the prime factors of (-2)/(-3)*9/2? 3 Let h = 322 - 216. What are the prime factors of h? 2, 53 Suppose -35 + 21 = 2*q. Let j be -4 + (0 - -2 - 3). Let b = j - q. What are the prime factors of b? 2 Let n(a) = 78*a - 2. List the prime factors of n(2). 2, 7, 11 Suppose 3*v = -13 - 8. Let p(m) = -m**2 - 9*m - 6. List the prime factors of p(v). 2 Let p = 25 - 15. Let r be ((-12)/20)/((-2)/p). Suppose -r*f - g + 4 = -2*g, -4*g + 20 = 0. List the prime factors of f. 3 Let w(p) = -p**3 + 6*p**2 - p - 6. Let a be w(5). What are the prime factors of 2648/56 + (-4)/a? 47 Suppose 7 + 8 = m. Suppose -4 = -q + 1. Suppose m = s + q. List the prime factors of s. 2, 5 Suppose 4*k - 169 = -0*k + 5*r, 0 = -2*k - 3*r + 79. What are the prime factors of k? 41 Let y(h) be the third derivative of h**4/8 - h**3/2 + h**2. Let l be y(2). Let r = l + 1. What are the prime factors of r? 2 Suppose 0*u - 200 = -4*u + 2*a, 0 = 3*a - 6. List the prime factors of u. 3, 17 Suppose 107 + 29 = 4*v. What are the prime factors of v? 2, 17 Suppose 0 = -3*z - s + 10, 5*s + 17 = -2*z + 41. Suppose -2*y + 4*y = z*r, -4*y = -r + 6. Let j = r - -14. List the prime factors of j. 2, 3 Let a(h) = -2*h**2 - 2*h - 1. Let x(d) = d**3 - 4*d**2 - d + 3. Let c be x(4). Let w be a(c). What are the prime factors of (w + (-2)/6)*-6? 2 Let p = 6 + -3. What are the prime factors of -1*(-1)/p*57? 19 Suppose 0 = 4*x - h - 4, x + 2*h = -4*x - 8. Suppose -4*k - k + 10 = x. Suppose -4*z + 23 = z - k*j, -3*z + 2*j = -17. What are the prime factors of z? 3 Suppose 0 = -5*v - 25, -40 = -4*x - v + 55. Suppose -5*s = -2*t - 3*t - x, 4*s - 2*t - 16 = 0. List the prime factors of s. 3 Suppose q = -3*q + 12. Suppose -q*y = 2*t - 61, y + 3*y + 132 = 4*t. List the prime factors of t. 2 Suppose -3*x + 7 = -q, -q = 4*q + 3*x - 37. Let m(f) = 4*f - 7. List the prime factors of m(q). 13 Suppose -3*z + 10 = 1. Let c(a) = -a - 2. Let b be c(-5). Suppose -4*s - b*l = -58, -2*l - 40 = -z*s - 6*l. What are the prime factors of s? 2 Suppose -6*u + u + 110 = 0. List the prime factors of u. 2, 11 Let s(o) = o**3 + 18*o**2 + 7*o - 12. What are the prime factors of s(-17)? 2, 79 Let r(f) be the second derivative of 0 + 2/3*f**3 + 3*f - 3*f**2. List the prime factors of r(7). 2, 11 Let b be (-5)/2*(0 - -2). What are the prime factors of 4/(-2) - (-10 - b)? 3 Let v(r) = -r**3 + 6*r**2 + 11*r - 7. Let o be 1 + 8 + (-12)/6. What are the prime factors of v(o)? 3, 7 Let b be (-20)/(-6)*54/(-15). Let z(k) = -k**3 - 3*k**2 + 8*k + 7. Let r be z(-5). Let v = b + r. List the prime factors of v. 5 Suppose -1 = -3*f + 2, -a - 917 = 3*f. What are the prime factors of a/(-35) + 4/(-14)? 2, 13 Let f = -10 + 14. Suppose 0 = -f*g - 0*g. Suppose u + 3*u = -5*c + 82, g = c + 2*u - 14. What are the prime factors of c? 2, 3 Suppose -x = 4*x - 30. Suppose x - 24 = -3*l. What are the prime factors of l? 2, 3 Let f = 4 + -1. Suppose 3*j + 4*c = c + 72, 3*c = f. What are the prime factors of j? 23 Let i = 0 - 0. Let j be (-87)/(-3) - (-1 - i). Suppose 4*u + u - j = 0. What are the prime factors of u? 2, 3 Suppose 25 = 5*l, 8*l - 3*l - 29 = -2*m. What are the prime factors of 1/(-2)*(-32 - m)? 17 Suppose -3*w = 4*g - 110, 0*g + 192 = 5*w - 2*g. Suppose 0*u + w = u. List the prime factors of u. 2, 19 Let j(l) = -l**2 - 7*l + 10. Let x be j(-8). Suppose -b + x*b = 0. Suppose n - 8 + 3 = b. List the prime factors of n. 5 Suppose 2*r - 14 = -0*r - a, 5*a = r + 4. Let h be (4 + -1)/r*-48. What are the prime factors of 20/(-6)*h/5? 2 Let m be 1/(-4) - 17/(-4). Let h = 7 - m. What are the prime factors of h? 3 Let t = 7 + -12. Let s = 8 - t. What are the prime factors of s? 13 Let m(l) = l**3 - 9*l**2 + 12*l + 22. List the prime factors of m(9). 2, 5, 13 Suppose 221 - 26 = 5*n - 2*z, 0 = -4*z. List the prime factors of n. 3, 13 Let x be 94/18 - 4/18. Suppose 2*b = 3*b + v - 29, 2*b = -v + 59. Suppose x*a - b = -4*p, 2*p + p = 0. List the prime factors of a. 2, 3 Let j = -55 +
{ "pile_set_name": "DM Mathematics" }
rst derivative of f**3 + f**2/2 - 3. Let i be s(-2). Solve z = -z + i for z. 5 Suppose -h + 2*y - 4*y = -1, 4*h = -5*y + 10. Let q be (-1)/(3/51 - 0). Let n = 6 - q. Solve h*s = -n + 8 for s. -3 Let i = -105 - -107. Solve -15 = i*x - 5*x for x. 5 Let f(q) = -6*q**2 - 10*q - 2. Let v(i) = 7*i**2 + 11*i + 2. Let p(s) = 6*f(s) + 5*v(s). Let w be p(-4). Solve 5*g - 6 = w*g for g. 2 Let x(u) = 9*u + 2. Let n be x(2). Solve 4*h + h = -n for h. -4 Let i be (4/10)/((-4)/(-20)). Solve 3 = -i*s + 5 for s. 1 Let x(b) = -b**2 - 5*b - 4. Let z be x(-3). Solve z*c + c = 15 for c. 5 Suppose -3*s + 4*q = -5 - 5, 1 = 3*s + 5*q. Let d = 2 - s. Solve d*p = 4*p - 12 for p. 3 Let y(w) = -w**2 + 7*w - 5. Suppose 0 = 5*q - 12 - 18. Let n be y(q). Solve -2*k - 5 = n for k. -3 Suppose -10 + 4 = -3*y. Let j = y - 0. Let w be (-2)/(-1)*(0 - -1). Solve 4 - j = w*t for t. 1 Let h be 4/(-2)*40/(-16). Suppose -n + h + 1 = 0. Suppose 3*k = 3 + n. Solve w + k*w = 20 for w. 5 Suppose -25 = -3*c + 89. Let f be c/6 - 2/6. Suppose -z + f - 2 = 0. Solve z*w + 12 = -0*w for w. -3 Let n(g) = g + 4. Let b be n(-5). Let j be b/2*2 - -4. Let m = -2 - -4. Solve -m*i = i - j for i. 1 Suppose -2*v + 15 = 3*v. Suppose -10 = -5*k + f, 0 = 4*k + 3*f - 5 + 16. Suppose -2*a + 7 - k = 0. Solve -a = v*m + 9 for m. -4 Let i be (-4)/14 + 4/14. Let j be (33 - 33)*(-1)/(-2). Solve i = -3*z - j*z + 6 for z. 2 Let g = -41 + 57. Suppose -4*o + 40 - g = 0. Solve 0 + o = 3*t for t. 2 Let t(j) = 3*j - 1. Let m be t(2). Solve -m*y = -6*y for y. 0 Let s(t) be the first derivative of -t**4/4 - 14*t**3/3 - 13*t**2/2 + 4*t + 5. Let u be s(-13). Solve u*f = 2*f for f. 0 Let j be (-2 - -4) + (-6)/(-3). Solve a + j*a - 20 = 0 for a. 4 Let n = -6 - -12. Let b = 0 - -3. Solve n + 9 = -b*x for x. -5 Let u(l) = l**3 + l**2 + l + 1. Let x be u(-1). Suppose -15 = -3*k - 3*s, x = 5*s - s - 8. Solve 0 = -k*q - q for q. 0 Let v = -26 + 37. Suppose 19 = 5*g - v. Let y = 36 - 21. Solve -g*d + y = -d for d. 3 Let f be 7 - (-1)/2*-2. Let n = -154 + 180. Solve 4*g + n = f for g. -5 Suppose -15 = -423*y + 420*y. Let u = 1 + 4. Solve y = -u*g + 20 for g. 3 Let o(w) = w - 4. Let n be o(8). Suppose i + y - 23 = 0, -n*i + 83 = 4*y - 3*y. Solve -2*j - i = -6*j for j. 5 Let a be 15/10 + 18/4. Suppose v = a*v. Suppose 4*n - 33 = 43. Solve v = -4*i - 1 - n for i. -5 Let p = -22 + 34. Suppose z + 2*z - 24 = 3*m, 4*m = -p. Solve -z*w - 15 = -0*w for w. -3 Suppose 2*w + 3*r - 34 = -6, 3*w - 5*r = 4. Suppose -2*m + 0*m + 6 = 0. Suppose -m*x - x = -w. Solve -x*t + 4 = -t for t. 4 Let l be -3 + 3 + (-5)/(5/(-2)). Solve -l*x = 12 - 2 for x. -5 Let o be 13 - -2 - (3 + 0). Suppose -3*b = -3*v - 2*v - 4, 4*b - 28 = v. Suppose -3*r + 1 = -b. Solve -r*f + o = f for f. 3 Let f(q) = q**2 - 4*q - 15. Let o be f(7). Solve 0 = -2*j + o*j + 4 for j. -1 Suppose -10*x + 15*x = 0. Solve -3*g + 13 - 1 = x for g. 4 Suppose -t - 4 = 0, 0 = -2*y + 3*t + 40 + 12. Suppose 0 = -4*j + y. Solve -j - 15 = -5*g for g. 4 Suppose 4*w + 7 - 11 = 0. Suppose 2*i = 3*i - w. Solve -i = -o - 0 for o. 1 Suppose -3*a + 3*s + 24 = 0, 2*s = -6 + 14. Solve 4*j + 8 + a = 0 for j. -5 Let a be ((-9)/(-5))/(17/85). Solve -a = -2*k - 1 for k. 4 Suppose 5*s - 73 = 2*l - 6*l, -3*s - 33 = -4*l. Solve -h = 2*h + l for h. -4 Let d(m) be the first derivative of m**3 + 3/2*m**2 + 1 - 2*m. Let r be d(2). Solve -r = g - 5*g for g. 4 Let j be 6/8*16/(-1). Let g be (j/(-4) - 1) + 2. Solve g = -2*v - 2*v for v. -1 Suppose -3*s - 2*s = -10. Let y = 22 - s. Solve y = -0*d + 5*d for d. 4 Let m = -33 - -38. Solve m*y - 22 + 2 = 0 for y. 4 Suppose 8 = 3*f - 0*f + 4*v, 4*v + 24 = 5*f. Suppose 2*z + 9 = 2*l + 51, f*z - l = 69. Solve 2*j + z = -2*j for j. -4 Let f be (-35)/(-28)*(5 - 1). Solve -q - f = -1 for q. -4 Suppose -j - 3*j + 20 = 0. Suppose 0 = -5*f + j*g + 5, 0 = 4*g - g - 6. Suppose -4*u + f*z = -12, -6 - 2 = -2*u + 2*z. Solve -6 = 3*q - u for q. -2 Suppose 2*q = 5*b + 35, -5*q + 2*b + 2*b = -45. Solve -q*h = -h + 4 for h. -1 Let h be -3 - -10 - (2 + -5). Let w be -6 - 2/(1/1). Let z be ((-10)/8)/(2/w). Solve h = -z*v - 0*v for v. -2 Suppose 0 = 31*f - 24*f - 14. Solve f = 2*b - 2 for b. 2 Let v be (-6)/10*(-14 + 9). Solve -1 = v*b - 7 for b. 2 Let t(d) = -3*d**3 + 5*d**2 - 2*d. Let o(c) = -4*c**3 + 6*c**2 - 2*c. Let j(q) = 2*o(q) - 3*t(q). Let y be j(2). Solve 4 + y = 2*g for g. 2 Suppose -f = -3*a + 7*a - 10, -4*f = 4*a - 64. Solve 0 = -13*h + f*h + 5 for h. -1 Suppose 30*j - 29*j = 7. Let q be 2/8 - (-34)/(-8). Let a(m) = -m - 2. Let h be a(q). Solve h = -s + j for s. 5 Suppose -4*r = l - 5, 0 = -5*r - 2*l + 4 - 0. Solve b + r = -0*b for b. -2 Let x be (-6)/(-9)*3*1. Suppose -14 + 34 = 4*a. Solve a*b + 22 = x for b. -4 Let d = -1 + 1. Suppose 0*u - 3*u = d. Solve u*w - 2*w + 4 = 0 for w. 2 Let u = -94 - -94. Solve u = -4*k + 8 for k. 2 Let y be ((-6)/(-9))/(4/6). Suppose -4 - y = -s. Solve 6 = -3*f + s*f for f. 3 Suppose 0 = -2*x - w + 16, x = -2*w + 5*w + 8. Suppose -t = -2 + 4, 5*n = 4*t + x. Let i be (-670)/(-60) - (-1)/(-6). Solve 2*q - i + 3 = n for q. 4 Let z(n) = n - 2. Let q(i) = 2*i - 4. Let b(s) = -2*q(s) + 5*z(s). Let y be b(4). Solve -2*a + a = -y for a. 2 Suppose h - 5*y = 26, -3*y = -5*h - 0*y + 42. Suppose h*k - 3*k = 60. Solve -k = -4*s - 0*s for s. 5 Let j be (4/8)/(2/52) + 2. Solve -6*h = -11*h + j for h. 3 Let q be (2/3)/((-6)/(-27)). Suppose q*l - 12 = 0, r + 4*l - 31 = -4*r. Solve r*k - k - 10 = 0 for k. 5 Let x = 11 - 11. Suppose -4*q = 2*h - 14, 3*q + x*h + 4*h - 8 = 0. Solve 3*l = -l + q for l. 1 Suppose 0 = -n - 2*d - 3*d + 30, n - 15 = -2*d. Suppose r + 4 = -n. Let j be r/(-4) - (-2)/(-8). Solve -j*a = -4*a + 8 for a. 4 Let o be (-56)/(-26) - (112/104)/7. Solve 20 = -o*v - 3*v for v. -4 Suppose -5*j + 1 = 4*c - 22, 4*c - 20 = -4*j. Let x = 6 - c. Solve i = x*i + 15 for i. -5 Let m be (3 - (4 + 1))/(-2). Solve -x + m = 4 for x. -3 Let l(x) = -x + 7. Let g be l(-9). Let f = -14 + g. Solve 3*z - f*z - 3 = 0 for z. 3 Let o = -35 + 37. Let q = -1 - -4. Solve -m + o = -q for m. 5 Let v = 5 + -2. Suppose 0 = -3*d + 6. Suppose m = -d*m. Solve -v*y + m = -3 for y. 1 Let v be ((-2)/6*0)/1. Let p = 11 + -5. Solve 2*k - p*k - 16 = v for k. -4 Suppose 5*b - 7 = 23. Suppose b*t = 4*t + 4. Suppose 9 = q - t*x, -2*q + 4*x + 16 = 2*x. Solve 0 = 5*i + 3 + q for i. -2 Suppose 0 = -3*u - 56 + 68. Solve -3 = u*j - j for j. -1 Suppose 2*c + 2*c = 0. Let r be 1/(1/2) - c. Suppose -b - r + 14 = -2*d, 3*b - 48 = 3*d. Solve -4*l + b = 4 for l. 4 Let v(t) = 1. Let o(z) = 3*z + 2. Let m(l) = o(l) - 3*v(l). Let u be m(1). Let d(i) = -2*i - 2. Let q be d(-4). Solve -u*x = -q*x for x. 0 Let g = -12 - -16. Solve -w - g*w - 10 = 0 for w. -2 Let g = -27 - -39. Solve 0*w + g = 3*w for w. 4 Let v be (-2)/9 + 411/27. Suppose -25 = -2*m + v. Solve 2*d + 3*d = m for d. 4 Let q = -7 - -7. Let h(r) = r**2 - r. Let u be h(q). Solve -3*z + 2*z - 1 = u for z. -1 Let b = -57 + 109. Let o be b/12 + (-3)/9. Solve 2*q - o = -0*q for q. 2 Let o(k) = k**3 + 10*k**2 + 10*k + 11. Let u be o(-9). Let y be (-1*(-1 + -5))/u. Solve -8 = 5*x - y*x for x. -4 Let l = -5 - -7. Let v be (12 + -2)/l - 0. Solve v = 6*f - f for f. 1 Suppose 2*f - 3 - 7 = 0. Suppose 4 = -r + 4*v, f*v + 2 - 20 = -2*r. Solve 0*s + r*s = -16 for s. -4 Suppose -3*p + 13 = -3*q - 17, 18 = 3*p + q. Let n(m) = m**2 - 6*m - 7. Let x be n(p). Solve x*b + 2*b = -4 for b. -2 Suppose -2*s = -3*s + f + 2, -2 = -3*s + 2*f. Let h be (s + 5)/((-6)/(-4)). Suppose -2 = -h*d + 4*i, d = 4*i - 2 - 1. Solve 0 = -d*k - 27 + 7 for k. -4 Suppose -3*p - 3*w = -54, -2*w = -4*p + 14 + 34. Suppose -p = -3*o - j, -2*j + 20 = 5*o - j. Let h be 9/7 + 4/(-14). Solve -o = r - h for r. -2 Suppose 5*s + 0*f - 24 = -f, 5*s - 5*f = 0. Let p be 2 + (-5)/20*0. Solve s*a + 2 = p*a for a. -1 Let i be 0/(((-4)/2)/2). Solve 2*r + i = 4 for r. 2 Let w(q) = -q**3 + q**2 - 7*q**2 + 14 - 7 + 0*q**3 - 4*q. Let r be w(-5). Solve r = 2*s + 10 for s. -4 Suppose 4*t = -4*s + 8, 0 = -t + 4*t + 5*s - 6. Let v be 30/8 - t/(-8). Solve 2*d - 6 = v*d for d. -3 Suppose -2*r + 2*q - 4 = -3*q, 0 = -r + q + 4. Solve -4*c = -r*c for c. 0 Let o(n) = n**3 + 6*n**2 - n - 7. Let s be o(-7). Let b be (-28)/s*7/2. Let v(h) = h**2 - 5*h + 3. Let d be v(5). Solve -d*a = b*a + 5 for a. -1 Suppose m = -3*l - m, -
{ "pile_set_name": "DM Mathematics" }
umber? True Let t be (2 - 3/2)*-2. Is t/1 - 744/(-1) prime? True Let s = -3 + 2. Let b be (-5)/(-2)*8/10. Is s*(b + -16 + 1) a composite number? False Let l(k) be the first derivative of k**3 + 9*k**2/2 - k - 1. Let t(v) = 5*v + 3. Let z be t(-2). Is l(z) prime? True Is ((-4)/((-4)/(-37)))/(-1) a composite number? False Let m(t) = -t**2 + t - 7. Let s = -19 - -13. Let d be m(s). Is 4 - 5 - (-1 + d) prime? False Suppose 5*j + 2*o = 1383, -o - 553 = -2*j - 2*o. Suppose -5*f - j = -3*r + 75, -3*r - 2*f + 359 = 0. Is r prime? False Let j = 1327 - -228. Is j a prime number? False Let m be 150/(4/2)*1. Suppose -u = -4*h - m, -5*u + 0*h = -2*h - 393. Is u prime? True Let w = 504 - 239. Is w prime? False Let y(i) = -49*i**3 + 5*i**2 + 5*i + 1. Is y(-2) prime? False Let m = -13 - -6. Is 270/7 + (-3)/m composite? True Let j = 50 - -219. Is j a composite number? False Suppose -2*z + 2 = 2*v - 0, -v = 5*z - 5. Suppose v = -4*f + 3*a + 356, -5*a + 324 = 4*f - 0*a. Is f composite? True Suppose -7*p + 3*p - 4 = 0. Is 1/(p*(-3)/177) prime? True Suppose -z = l - 3, 5*z + 5*l = z + 13. Suppose 5*f - 5*v = 785, -5*v - 43 - 582 = -4*f. Suppose 4*m - z*k = -3*k + 135, -4*m = -4*k - f. Is m composite? True Suppose 10*i = 3*i + 1015. Is i a prime number? False Let v = 0 - 2. Let k be (5/v)/5*-298. Suppose 0 = -2*o + 5*u + 83, -93 - k = -5*o + u. Is o a composite number? True Let f(q) = -111*q - 35. Is f(-6) prime? True Let l = 22 - 15. Let k(v) = 4*v**2 - 7*v + 2. Is k(l) a prime number? True Suppose y + 78 = -0*y. Let l = -45 - y. Is l a composite number? True Let i(c) = -c**3 - 6*c**2 - 3*c - 9. Let s be i(-6). Let q = 187 - 51. Suppose 0 = k - q + s. Is k prime? True Suppose -2*x + 717 = -265. Is x a composite number? False Suppose 0 = 4*u + c - 13, -2*u - c + 3*c + 14 = 0. Let s = u - 5. Is -2 - (s + 1) - -55 prime? True Let f be -2 + (-1 - -1) - 154. Let o = -82 - f. Is o prime? False Suppose -2*z = -5*z + 51. Let p = z + 20. Is p a prime number? True Let q(x) = 9*x**2 + x - 29. Is q(-12) prime? False Let a = -2 + 121. Is a a composite number? True Suppose -4*y = 2*u - 6656, 3*y - 2*u + 438 = 5416. Suppose -5*c = -583 - y. Is c a composite number? False Is 0*(0/(-1) + 1) + 1031 a prime number? True Suppose -4*m + z = -308, -z = m + 40 - 117. Let x = 130 - m. Is x a prime number? True Is -3*(-2)/(-3)*(-521)/2 prime? True Let q(x) = -x**3 - x**2 + 5*x - 6. Is q(-5) composite? True Is 4/18 + (-25788)/(-108) a composite number? False Let t(n) = n**2 - 4. Let z be t(3). Suppose 0 = 3*u + 3*r - 0*r - 504, -z*u = 2*r - 828. Let v = -117 + u. Is v composite? False Let o(t) = -7*t**3 - t**2 - 3*t - 6. Let r be o(-5). Let x = -540 + r. Is x prime? False Let k = 150 + 89. Is k a prime number? True Let c = 663 - 356. Is c a composite number? False Let p = -203 + 300. Is p composite? False Let v(c) = 60*c**2 + 7*c - 24. Is v(5) a composite number? False Suppose -2*x + 13534 = 5*u - 3*x, -3*u - 3*x + 8124 = 0. Is u prime? True Let q(w) = -w**2 - 14*w - 5. Let i be q(13). Let d = -171 - i. Is d a composite number? True Let w = -128 - -607. Is w a composite number? False Let d = -2 - -3. Is 2/(d/(231/6)) prime? False Suppose 0 = -k + u + 3*u - 12, 4*k - 3*u = 4. Suppose -k*m - 5 = 3. Is (-1 + 2)/(m/(-12)) prime? False Suppose 2*k - 466 = 5*h + 276, -2*k + 754 = -2*h. Is k composite? True Suppose -2*t = 1 + 19. Let b be (-4)/t - 2/5. Suppose 3*l + 0*l - 12 = b. Is l composite? True Suppose 103 = 7*s - 6*s. Is s a composite number? False Suppose -12 = 4*w - g, 5*w = 3*g - 2*g - 16. Is (2 - 1)*(207 - w) a composite number? False Suppose -645 = -m - 4*q, -4*q = -4*m - 121 + 2741. Is m composite? False Let y = 230 - -77. Is y prime? True Suppose m = -3*m. Let a = m - -19. Is a prime? True Let d = -772 + 2133. Is d composite? False Let p = -13 + 14. Let w(l) = 77*l**2 - l + 1. Is w(p) a composite number? True Suppose -4*a = -a + 30. Let v = a + 47. Is v a prime number? True Let b(f) = -f**2 + 4*f + 7. Suppose 15 = z + 2*z. Let y be b(z). Is 1/y*0 + 9 composite? True Let u(z) = -2*z + 3. Let o be u(2). Let s(k) = -3*k**3 - 10*k**2 - 5*k + 9. Let c(i) = i**3 - i. Let g(y) = o*s(y) - 2*c(y). Is g(-7) a composite number? False Let f(l) = -l**3 + 3*l**2 + 3*l - 2. Let m = 0 + 3. Let i be f(m). Suppose 0 = 3*z - i - 26. Is z a composite number? False Let v = 267 - -32. Is v a prime number? False Suppose 4*g = 6*g - 4. Suppose -t = g*t - 819. Suppose -q - t = -4*q. Is q composite? True Suppose 0 = -17*h + 13*h + 8804. Is h a prime number? False Suppose 28 = 4*r - 4*w, 0*r - 3 = r + w. Is (-226)/(-6) + r/(-3) a prime number? True Let y(b) = -2*b**2 - 6*b - 1. Let x be y(5). Suppose -3*t + 5*p + 653 = 0, 0 = 5*t - t - 5*p - 879. Let v = t + x. Is v a composite number? True Suppose -4*t - 1 = 3*k + 7, 0 = -k - t - 2. Suppose -2*c = -k*c. Suppose 4*s - 619 - 1 = c. Is s a prime number? False Suppose t - 7 + 2 = 0. Suppose v = n + 69, 2*n = -2*v + t*n + 133. Is v a prime number? False Suppose 2*l + 3*f - 155 - 89 = 0, -2*f - 472 = -4*l. Is l a prime number? False Let n(u) = -4*u - 9. Let a(r) = 19*r + 44. Let v(i) = 2*a(i) + 11*n(i). Is v(-9) prime? True Let d = 914 + 21. Suppose d = 7*i - 2*i. Is i prime? False Let f(c) = -27*c + 2. Suppose -3*a = 3*i + i + 4, 4*a + 1 = -i. Let x be (0 - (a + -1)) + -8. Is f(x) composite? False Let m = -1 - 3. Let k be 54/2 + (-11 - -14). Is (k/(-9))/(m/18) composite? True Let r(j) be the third derivative of 31*j**5/60 + j**4/24 - j**3/6 - 4*j**2. Is r(1) composite? False Suppose 2*y - 3*r - 16 = 3, 4*y = -4*r + 28. Suppose -3*u - 95 = -y*u. Is u a prime number? True Suppose -2 = 2*k, -2*k + 408 = 2*s + 2*k. Is s a composite number? True Let m(v) be the first derivative of v**4/4 + v**3/3 + v + 5. Suppose -4*f = -4, 2*u + 8 = 4*u + 4*f. Is m(u) a prime number? True Suppose 8*k - 3316 = 4*k. Is k prime? True Suppose -2*d = 9*d - 6479. Is d composite? True Let x = 579 - 260. Is x a composite number? True Let f(p) = 35*p - 1. Let r(o) be the first derivative of 175*o**2/2 - 5*o - 1. Let w(j) = 11*f(j) - 2*r(j). Is w(2) prime? False Let d(j) = j**3 + 18*j**2 + 16*j + 10. Suppose 4*l - 42 = 2*p, -2*p + 6*p + 2*l = -54. Is d(p) a prime number? False Let h = -29 - -116. Let a = h + -50. Is a a prime number? True Let i = -2 - -4. Suppose -i*s + 31 = 5. Suppose s = 4*n - 75. Is n a prime number? False Let v(y) = -y**3 + y**2 - y + 1. Let u(d) = 6*d**3 - 4*d**2 + 5*d + 356. Let o(w) = u(w) + 5*v(w). Is o(0) a prime number? False Let z(r) = -361*r - 6. Is z(-3) composite? True Suppose 0 = 5*l - 0 + 5. Is (l*2)/((-4)/298) prime? True Is (-7)/(14/3)*-6 prime? False Let l(w) = 2*w**2 + 4*w + 4. Let b be l(-3). Suppose -b = 3*u - 8*u. Suppose 132 = u*x + 34. Is x a prime number? False Let x = -13 - -52. Suppose x + 85 = 4*v. Is v a prime number? True Let a = 5 - 2. Is (-34)/4*-68 + a a prime number? False Let n(h) = 449*h**2 - 2*h - 3. Is n(-2) a composite number? True Let h be (-28)/(6/3) + 2. Let l be (-1 - 4)*h/10. Is (l/2)/3 - -84 composite? True Let m be 0*-1*(-1)/(-2). Suppose m*w = -w + 39. Is w composite? True Let c = 4 - 2. Let l be c + 10/1 + -3. Let b = 56 - l. Is b prime? True Suppose n = 3*p + 3719, 7072 = 3*n + 2*p - 4063. Is n composite? True Let g(j) = -j**3 + 5*j**2 - j + 1. Suppose 0*t = -t + 4. Is g(t) a prime number? True Is (4*8286/60)/((-2)/(-5)) composite? False Let l(z) be the second derivative of 19*z**4/6 - z**3/6 + 3*z. Is l(-1) prime? False Let n = -3 - -4. Suppose n = 4*c - 7. Is (c/(-4))/(3/(-510)) composite? True Let g(f) = 20*f. Let b be g(-4). Let j = -1 - b. Is j a prime number? True Let c = -3 + -10. Let j = c + 3. Is (-2)/j - (-64)/5 a composite number? False Let a(u) = 98*u - 4. Let o be a(5). Suppose 0 = 3*j - o + 69. Is j a composite number? False Let j(w) = w - 5. Let o(u) = 3*u + 1. Let t be o(2). Is j(t) composite? False Suppose -2*y + 6*y = 0. Suppose y = 5*z - 4*r - 0*r - 43, -z = 4*r + 1. Is z prime? True Suppose -6*m - 359 = -5*u - 3*m, -u + 5*m = -63. Suppose 0 = -5*i - 3*l + 46 - 268, -176 = 4*i + 2*l. Let b = i + u. Is b composite? False Suppose -3*l = 2*l - 5555. Is l composite? True Suppose 5*q - 50 = 5*i, 0 = 3*i - 4*i. Let z(h) = h**3 - 10*h**2 + 12*h - 1. Is z(q) composite? True Suppose 5*c - 4*o - 3163 = 0, 5*c - 5*
{ "pile_set_name": "DM Mathematics" }
n(w) = 14*w - 3. Let f(u) = 975*u + 5239. Let b(p) = -f(p) - 65*n(p). Differentiate b(r) with respect to r. -1885 Let n(m) = m**4 - m**2 + m + 1. Let k(l) = -30*l**4 + 4*l**2 - 10*l - 59. Let s = 4 + -8. Let c(v) = s*n(v) - k(v). What is the first derivative of c(q) wrt q? 104*q**3 + 6 Let h(n) = -n. Let i(d) = -36. Let z(k) = -6*h(k) + i(k). Let l be z(7). Find the second derivative of 4*g - 4*g**4 + l*g**3 - 6*g**3 wrt g. -48*g**2 Suppose -7 = -5*z + 3*r, -8*z - 4*r + 10 = -5*z. Let d = 10 - 6. What is the second derivative of -d*m**z - 33*m + 31*m + 32*m wrt m? -8 Let p(b) = -b**3 + 16*b**2 - b + 19. Let s be p(12). Differentiate -43 - 331*z - 310*z + s*z wrt z. -58 What is the third derivative of 19 - 142888*f**2 + 71448*f**2 + f + 2*f**4 + 3*f + 71439*f**2 + 4334*f**3 wrt f? 48*f + 26004 Find the first derivative of -1233*x - 2909 + 6*x**2 + 2455*x - 1222*x + 32*x**3 wrt x. 96*x**2 + 12*x Find the first derivative of 11*z**3 - 353661*z**2 + 353656*z**2 + 35*z**3 - 2936 wrt z. 138*z**2 - 10*z Let c be 180/(-105) + 2/(-7) - -39. Differentiate -23 - 53*k + c*k - 106*k with respect to k. -122 Let r(f) be the first derivative of -f**6/3 + 542*f**3/3 + f**2 + 4*f + 671. What is the second derivative of r(m) wrt m? -40*m**3 + 1084 Let s(h) = 16*h**5 - 5*h**4 + 14*h**3 - 5*h**2 + 694*h. Let m(w) = w**4 + w**2 - w. Let n(a) = 5*m(a) + s(a). Find the second derivative of n(y) wrt y. 320*y**3 + 84*y Suppose 58*o - 63*o + 211085 = 0. Find the third derivative of -2*i**3 - 42257*i**4 + 149*i**2 + 179*i**2 + o*i**4 wrt i. -960*i - 12 Let x(r) be the first derivative of 111*r**5/5 - r**4/4 - r**3/3 + 63*r**2 - 3261. What is the third derivative of x(c) wrt c? 2664*c - 6 Suppose 5*m + 10 = 5*s, -2*m + 14 + 10 = 5*s. What is the second derivative of -2*r**2 + 2*r**m + 40*r**3 - 82*r**3 - 72*r + 187*r**3 wrt r? 870*r Let h be 6/6 - (-22)/(-1). Let b = h + 33. What is the second derivative of 22*a**4 + 0*a + b*a - 5*a + 8*a wrt a? 264*a**2 Suppose 4*d + 5*h = -4, 5*d + 9*h = 4*h. What is the third derivative of 72*n**d + 6*n**2 + 61*n**2 + 22*n**2 - 194*n**4 wrt n? -2928*n Let d(j) = -2*j - 170. Let c(a) be the first derivative of -a**2/2 + a - 52. Let o(w) = 2*c(w) + d(w). What is the first derivative of o(g) wrt g? -4 Suppose -4 = -t - 1. Let c be (-8 - 0)*(6/(-4) - t). Differentiate 0*o**4 + c - 56 - 15*o**4 wrt o. -60*o**3 Let z(q) = -6671*q - 8392. Let o(u) = -26682*u - 33431. Let t(j) = -2*o(j) + 9*z(j). Differentiate t(p) wrt p. -6675 Let k be (-11)/(5/(-80)*2). Differentiate -66*h**2 - k - 68*h**2 + 203 with respect to h. -268*h Let j(k) be the third derivative of 0*k**3 + 0 + 3/8*k**6 + 6*k**2 + 83/60*k**5 - 13*k - 1/12*k**4. What is the third derivative of j(r) wrt r? 270 Let y(q) be the second derivative of -289*q**6/10 - 367*q**4/3 + 2*q + 88. Find the third derivative of y(a) wrt a. -20808*a Suppose l + 5*s - 22 = 0, 30 - 34 = -s. Suppose -2*y + 3*y - 3 = 0. What is the derivative of y*a**3 + l - 4 + 17 - 11*a**3 wrt a? -24*a**2 Let l = -357 + 359. What is the third derivative of 27 + 23*j**2 - 10*j**2 - 5*j**2 - 2*j**3 - 6*j**l - 21*j**4 wrt j? -504*j - 12 Let f = 65 + 118. Let g = -136 + f. Differentiate 29 - 18 - 11 - g*s - 10 wrt s. -47 Suppose -1081 = -5*q + 4*a, -4*a - 645 = -3*q + 10. Find the first derivative of 21 + 78*g**2 - 59 + 144*g**2 - q - 56*g**2 wrt g. 332*g Suppose 3*w + 0*w = 2*i + 7, 4*i = 2*w - 2. Let c be (14 - (-1 + 9))/(6/4). Find the second derivative of 16*a - 8*a - 18*a**c + a**2 + 21*a**4 + i wrt a. 36*a**2 + 2 Let y(w) be the second derivative of 9*w**5/20 + 5*w**4/2 + w**3/2 - 7*w**2/2 - 2*w - 6. Let n(t) be the second derivative of y(t). Differentiate n(o) wrt o. 54 Suppose -4*f + 194 - 46 = 0. Find the third derivative of -148*s**2 + 3*s**4 + 37*s**6 - 3*s**4 - f*s**6 - 52*s**6 + 2*s wrt s. -6240*s**3 Suppose -14*c = -5*o - 16*c + 78, -58 = -5*o + 3*c. Let v be 6*(-2 - (-13)/3). Find the first derivative of v + 6 - o*m**4 - 11 wrt m. -56*m**3 Let a(t) be the second derivative of -2*t**3 - 19*t**2/2 + 7*t. Let f be a(-4). What is the second derivative of 16*x**2 + f*x - 53*x + 12*x**2 + 26*x wrt x? 56 Find the third derivative of -177*p**2 + 85*p**2 + 88*p**2 - 295 - 2894*p**3 - 427 wrt p. -17364 Find the first derivative of 128*q**3 - 97*q**3 + 85*q**4 - 31*q**3 + 60 wrt q. 340*q**3 Let q(o) = -141*o + 130. Let t(d) = -53 + 5 + 17 + 71*d - 34. Let k(g) = 4*q(g) + 7*t(g). Find the first derivative of k(j) wrt j. -67 Let x(v) = 36*v**2 + 3*v - 58. Let w be 1 + 1 - (11 + -14). Let y(r) = -72*r**2 - 5*r + 115. Let b(d) = w*x(d) + 3*y(d). Differentiate b(h) with respect to h. -72*h Let b(p) be the first derivative of -247*p**6/360 - 71*p**4/8 + 2*p**3 + 7*p + 204. Let z(o) be the third derivative of b(o). Differentiate z(g) wrt g. -494*g Suppose 5*c - 2 = 23. Suppose 0 = -c*f - 3*k + 28 + 61, 5*f = 2*k + 74. Find the third derivative of 16*v**4 - f - 12 + 4*v**2 + 28 wrt v. 384*v Let r(t) = 142*t**3 - 5*t**2 - 539*t + 1. Let x(p) = -69*p**3 + 3*p**2 + 269*p - 1. Let n(l) = 3*r(l) + 5*x(l). What is the second derivative of n(m) wrt m? 486*m Let s(t) be the third derivative of 0*t**7 + 0*t + 0*t**5 + 1/42*t**8 + 2/3*t**3 + 0*t**6 - 6*t**2 - 5/24*t**4 + 1. What is the second derivative of s(y) wrt y? 160*y**3 Let w(b) = -b**3 - 36*b**2 + 37*b + 5. Let l be w(-37). What is the second derivative of 2*o**4 - 6 + 9*o**4 - 32*o**5 + 2*o + l*o**4 - 17*o**4 wrt o? -640*o**3 - 12*o**2 Let y(c) = 2555*c - 1686. Let x(u) = -3412*u + 2248. Let w(o) = 8*x(o) + 11*y(o). Differentiate w(m) wrt m. 809 Let z(s) be the second derivative of 21/2*s**3 + 5*s + 13 - 1/2*s**2. What is the first derivative of z(q) wrt q? 63 Let r(f) be the second derivative of -f**5/4 - f**2/2 + 20*f. Let p be r(-1). Find the second derivative of 8*i**4 + 11*i**4 + 9*i + 0*i**p - 5*i**4 wrt i. 168*i**2 Let w = 10920 + -10917. Let t(f) be the first derivative of 10*f**w - 5/4*f**4 + 13 + 0*f + 0*f**2. What is the third derivative of t(b) wrt b? -30 Let d = 68 + -70. Let k be -8 + 113 + (d - 1/(-1)). What is the derivative of 89*x**2 + 22 + k*x**2 - 172*x**2 wrt x? 42*x Find the first derivative of -14*o**2 - 94152*o - 951 + 47074*o + 47078*o + 4*o**4 wrt o. 16*o**3 - 28*o Let b be 1*3 - (-2)/3*3. Suppose -4*h + 58 = 3*s, 1 = -h + b. What is the second derivative of 103*d - s*d**3 + 97*d - 175*d wrt d? -84*d Let s(r) = 31*r**3 + 31*r**2 + 4*r. Let n = 129 + -122. Let d(f) = 63*f**3 + 60*f**2 + 7*f. Let z(b) = n*s(b) - 4*d(b). Find the third derivative of z(u) wrt u. -210 Let l(c) = 131*c**3 - 35*c**2 - 791*c - 5. Let x(q) = -132*q**3 + 28*q**2 + 792*q + 4. Let u(r) = -4*l(r) - 5*x(r). What is the second derivative of u(a) wrt a? 816*a Let z(a) be the second derivative of 132*a**4 + 689*a**2/2 + 3272*a. What is the derivative of z(f) wrt f? 3168*f Find the second derivative of -3611*w**3 - 3722 + 4*w - 234*w**4 + 733 + 3621*w**3 - 2*w + 71*w**4 wrt w. -1956*w**2 + 60*w Let y(p) = p + 76. Let f(c) = 3790*c - 7195. Let g(d) = f(d) - y(d). Find the first derivative of g(l) wrt l. 3789 Let m = 7566 + -7562. Let w(j) be the second derivative of 0*j**2 + 0 - 3*j + m*j**3 + 7/12*j**4. What is the second derivative of w(p) wrt p? 14 What is the third derivative of 5324*s - 6*s**2 - 6*s**2 - 1420*s**5 - 5361*s wrt s? -85200*s**2 Let d = 18 - 8. Suppose 5*g = 5 + d. Find the second derivative of 4*y + 951*y**g - 14*y**4 - 951*y**3 wrt y. -168*y**2 Suppose 18 = 2*p + 2*m, -2*m + 0 - 18 = -4*p. Let z(c) = 8*c - 63. Let v(s) = -10*s + 61. Let n(d) = p*z(d) + 5*v(d). What is the derivative of n(r) wrt r? -2 Differentiate -4951*f + 2230 + 4446*f - 7067 - 6257*f wrt f. -6762 Let n(s) = 2*s**2 - 51*s + 33. Let f be n(25). Let i be 1/(1/6) + -2. What is the first derivative of -11*l**4 - f - 2 - 1 + 13*l**i wrt l? 8*l**3 Let f be -1*(-3 + 0) - 1. Find the second derivative of 80*q**2 - 210*q**2 + 116*q**f - 69*q + 99*q**2 wrt q. 170 Find the second derivative of -36*n**2 + 177*n + 189*n - 3*n**3 - 96*n**2 + 0 - 2 - 1 wrt n. -18*n - 264 Suppose -15*b + 302 - 77 = 0. What is the second derivative of -85*l**5 - 63*l + 29*l + 38*l + b wrt l? -1700*l**3 What is the second derivative of -19207*n**2 - 15*n - 6 - 18 + 2*n + 19333*n**2 wrt n? 252 Suppose -5*l - 3*i = -8*i - 820, 3*l
{ "pile_set_name": "DM Mathematics" }
-9 - (153 - 160)) + (-28)/2. -11 What is (125 - 131)/(162/(-4))*(-42)/4? -14/9 Calculate (-140)/3 + 21814/(-5034). -51 -4 + (-2)/(-38 - -32) -11/3 What is (1664/(-4160))/(6*(-52)/(-900))? -15/13 Calculate (924/48 - 16)/((-320)/1536). -78/5 Evaluate ((-60)/(-117))/((-1110)/(-7215)). 10/3 (-96)/272 + 20 + (-8056)/680 39/5 What is (184/(-2208))/(3/(-792))? 22 What is the value of 517 - 554 - (-339)/9? 2/3 Evaluate ((4/14)/(1432/(-2506)))/(12/(-2664)). 111 Evaluate (-1)/((-14)/(-4)*(54 + -53) - -2). -2/11 What is the value of (-3)/(-10) - 709632/3440640? 3/32 300/168 + (-2120)/140 + 13 -5/14 What is the value of 17 + (-201)/536 + -17? -3/8 What is 55 + (-5025)/90 - 4/(-5)? -1/30 What is the value of (8/2080*1410 + -6)*-26? 15 What is the value of (-46)/((-184)/(-156)) + 32? -7 Evaluate 1166/332 + (-95)/(6270/231). 1/83 Calculate (-2415)/(-207) + 455/105. 16 What is (-15)/(240/(-512)) - ((-22)/(-2) + -5)? 26 What is the value of (-1)/(-6 - (-1 + -4))*(195 + -190)? 5 What is (13 - 16700/800)/7? -9/8 (-6393830)/(-1994008) + 1/(22 + 1) 13/4 What is the value of (-243100)/(-2275) + 23/161? 107 What is (-17)/(-35) - (-3044)/(-53270)? 3/7 Calculate 810/144*-2 - (-2 - -10 - 29). 39/4 (-6 - -2) + 7 - ((-99050)/2750 + 39) 1/55 What is the value of ((-10)/(-9) + 268/1206)/(-3*7/(-18))? 8/7 What is the value of (-3036)/(-115) + -27 - (-6 - (-539)/35)? -10 What is 2/(-12)*(-21 - -16 - 37) - 193/28? 3/28 Evaluate (-31 - 4)*-8*9/1080 - -5. 22/3 (1 - (-3)/((-27)/(-73))) + (-203 + 90 - -104) 1/9 What is the value of -36 + -5 + 8 + (-534 - -622)? 55 What is 1*(-26 + 3401/133)? -3/7 What is ((-22)/(-154)*((-2)/(-15) - (-124)/(-30)))/4? -1/7 Evaluate ((-33565)/(-1370))/((-1)/(-2)). 49 (-1785)/306 + (-1925)/210 -15 What is (-3)/((-9)/(-4)*(-149164)/(-1257))? -1/89 What is 122322/(-348)*(-20)/(-190)? -37 Calculate (-5)/(-275)*(-445)/(-89). 1/11 What is the value of (-24)/(231 + (-42 - -43))? -3/29 Evaluate (-60)/5 + 83/((-18426)/(-2682)). 3/37 What is (-61377)/14970*-4*(5 + -10)? -82 Calculate (-6)/(48/(-28))*(-335)/((-86765)/1776). 24 Calculate ((-7564)/(-183) - 41)/((-170)/87 + 2). 29/4 Calculate (12/30)/((-469)/(-1005)*(-6)/(-6)). 6/7 What is -93*(-56)/(-315) - (9 - 25)? -8/15 Calculate (82 + 6)/(-4) - (-470592)/21375. 2/125 Evaluate -19 - (-28 + 4936/(-224)) - 31. 1/28 What is -160*(-31)/62 - (-3 + 38)? 45 What is (4/((-48)/4))/(30/480*-1)? 16/3 Evaluate (-76*(-36)/120384)/((-2)/(-580)) - (-1)/(-11). 13/2 10/8*2001696/(-43140) -58 (43/215)/(52/130) 1/2 Calculate (-10)/40 - (-83334)/(-1032). -81 Evaluate (-14 + 10 + 386/96)/((36 - 48)/12). -1/48 What is the value of (4/(-10))/(14 + 8804/550 + -30)? -55 Evaluate (394/(-520) + 30/40)/(13*14/728). -2/65 Evaluate 49/3234*-1991 - -30. -1/6 Calculate ((-1176)/(-245))/(851/(-805) + 1). -84 What is (22/((-418)/57))/(-1) - -14? 17 Calculate ((-685)/822)/(34/24 - 1/6). -2/3 Evaluate 6/(-6) + 24/2 - 2142/198. 2/11 What is (-8)/232*(-105 - -106)? -1/29 What is 114/2261*-7 + (-4654)/(-663)? 20/3 Evaluate 130/(-14) + (-12)/(-8)*(2 - -4). -2/7 What is ((-2020)/(-60))/((-3255)/(-63) + -52)? -101 Evaluate (269/(394085/2344))/(1/((-2)/28)). -4/35 What is the value of 2/(12/(-63)*(-56)/(-16)*11)? -3/11 (150/55 + 0)/(1352/(-3718)) -15/2 What is (54/432)/(18/16)? 1/9 What is (-1)/((-6)/17 - 90420/20961)? 3/14 14/(-21)*(22 - (-138)/(-6)) + 38/(-30) -3/5 (2512/2198)/((24/28)/(-3)) -4 Calculate 866 + -776 - 543/5. -93/5 Calculate (-53890)/(-1105) + (-12)/(-52). 49 What is (-52)/(-232)*504/1638? 2/29 What is 9/(-574 + -2)*256/(-368)? 1/92 Calculate (-280)/320*2412/(-42)*8/(-6). -67 Calculate (-469)/60 - ((-274994)/(-11490) - (2 - -22)). -31/4 What is the value of 420/(-7280)*-52 - ((-19)/1 - 2)? 24 9164/(-3654) + (-32)/(-112) -20/9 Evaluate 285/75 - 52904/14280. 2/21 Evaluate (118/826)/(1149/(-287) + 4). -41 What is (-195)/(-33)*496/(-155) - -2*11/(-242)? -19 What is the value of 168/(-300)*((-1216)/(-133) + -12)? 8/5 21/(-15) + (-6825)/(-125) + -49 21/5 What is (-184)/(-3) + 14820/(-3420)? 57 Evaluate 2*4 + 97*(-105)/(-252)*(-7)/35. -1/12 Evaluate (-39 - 0) + (246 - 281) + -11. -85 ((-1804)/924 + (-27)/(-21))*(-63)/(-2) -21 7*1738/231 + ((-16)/12)/((-30)/30) 54 What is the value of 12848/4672*((-8)/100)/(1/15 - 0)? -33/10 Evaluate -62*((-737)/546 + 284/213) - 1. 2/91 What is the value of (1/(-24))/((-12)/36)*(-18)/1? -9/4 Evaluate (-854)/2196*-12*180/14. 60 What is the value of (-41026)/1967*((-21)/(-14) + -5)? 73 Evaluate (-351)/12 + (2/(-56))/(552/(-3864)). -29 What is the value of (((-192)/(-558))/8)/((-325)/195 - (-26)/18)? -6/31 ((-113)/(-28) + -2)/((-14256)/(-33264)) 19/4 What is the value of (-42 + 46)*((-2139)/(-12))/(-23)? -31 6/(45*25/2250) 12 Evaluate (-451)/(-1640)*16*100/(-10). -44 Calculate (-6 - 5) + 80/25*5. 5 What is the value of -11*(275/(-11) - 396/(-16))? 11/4 Evaluate (-1173)/598 - (-2 - -7)*((-868)/(-455) - 2). -3/2 What is the value of (-9)/(-15) - (1614/(-420) - (-4)/2450*-35)? 9/2 (14/(-3)*3)/((-3320)/6640) 28 What is the value of (-11)/(-4)*16/4 + (-1547 - -1537)? 1 What is the value of (2/(-18) - (-290)/(-76995)*767)/((-3)/67)? 67 Calculate (-385)/(-42)*(-648)/(-240)*26/117. 11/2 What is the value of (13*-2)/(3/(-48)*344 + 63/3)? 52 What is 20*308/(-3570) - (-9 + 1216/136)? -5/3 What is (-93)/(38502/16)*33/44? -2/69 Calculate (-260)/(-525) - ((-3222)/270 + 12). 3/7 What is (-332)/168 - 14745/(-6881)? 1/6 What is -9 - -13 - ((-64)/(-2080))/(1/(-35))? 66/13 Evaluate -66 + -52 + 32 + 21. -65 What is the value of 47358/(-11401)*13/8? -27/4 ((-1230)/369)/((-2717)/(-390) - 7) 100 -3*(22 - (2 + 28312/1416)) -1/59 What is (-84 - 218148/(-2604))*(-2)/70*-2? -2/155 (-1596)/126 - 6/90*-3*(-595)/51 -15 Evaluate -1 + -17 + (-155 - (-39889)/226). 7/2 Calculate (-2 - (-477)/99) + (4 - 45/5). -24/11 (728/273)/(((-4)/54*-12)/(2824/2118)) 4 What is (-9711)/128401*((-23)/(-6) + -5)? 3/34 Evaluate (-590)/(-25) - ((-321)/15 - -21). 24 Calculate (1 - 5/3)/(39/(5070/(-40))). 13/6 (-140)/(-6) - 1116/124 - (-1)/6*-14 12 Calculate (-59 - 3243/207)*(-30)/(-35). -64 What is (-2)/(49/28 + (12481/1988 - 8))? -71 Evaluate (2/(-10) - 0)/((-10834)/406275). 15/2 (-3)/(-1596)*-19*2*84/154 -3/77 What is the value of (-13292)/700 - 1148/100450? -19 -352 + 282 - (-47 - 16) -7 What is the value of ((-21)/(-147)*-7)/(58/(-3538))? 61 What is (-4)/25 - 224967/(-3075)? 73 What is the value of 11/9 + -1 - (5522875/1017)/115? -47 What is 107*(-109)/(-23326) - ((-54)/(-10))/(2/(-5))? 14 Calculate (20*(-2)/(-60))/(4 - 4/(468/469)). -78 What is -22 + ((13 - 10)*(18 + -17))/(-1 - 2)? -23 Calculate 1460/(-30)*1 + 8/12. -48 Evaluate (2589/6041)/((-2)/(-56)). 12 166/(-368)*-6 - (42 - (-8949)/(-228)) -1/23 What is the value of (-2004)/(-835)*325/(-52)? -15 What is ((-15)/(135/(-18)) - 41446/18513) + (-6)/(-27)? -2/121 What is the value of 6 - (10/(-14) + 369/56 + (-71)/142)? 5/8 Calculate 2/(-22) - 1273/14003*(2 + (-756)/164). 6/41 Calculate -29 - ((-5460)/(-65) + -58). -55 What is 6 + 110/(-5) - 20*(-72)/70? 32/7 What is the value of -3*((-1029)/(-189))/49? -1/3 Calculate 138/(-230)*-10*1/6*-59. -59 What is the value of -54 + (10 + 7 - 7) - -3*20/(-12)? -49 Evaluate (66/(-693))/((-75)/1125) + (-34)/14. -1 What is (-52)/28*7 + (-5 - -5) + 42? 29 What is the value of 16 - -1 - 2/(-70)*-775? -36/7 Evaluate (-35)/(-9)*(-15336)/(-6390). 28/3 Calculate 168/(-2)*(-201)/1407 - (-60)/2. 42 ((-30)/(-4))/(51615/(-261960)) + 4/62 -38 ((-4692)/48484)/((-25)/(-155)) -3/5 What is (32 - -21) + -40 + 32? 45 Evaluate ((-12)/(-26))/((-25732)/286728). -36/7 Evaluate 20536/(-38505)*(-700)/6 - ((-2)/(-9) + 0). 62 What is ((220/(-50))/(-22))/(9/(-12))? -4/15 What is (2632/(-394800))/((-3)/36)? 2/25 Evaluate (4/3)/(20 + -92*16/96). 2/7 What is (35 - 43)/(10 - 1304/132)? -66 -362 + 356 - 266/(-46) -5/23 Calculate ((1 - (-84)/15) + 0)*(115014/(-522) + 212). -55 Evaluate (18 + (-7290)/378)/((-9)/10). 10/7 What is the value of (16 - 22) + (-270)/16965*-338? -18/29 Calculate 176/(-10) - (-45 - -46)/(-3 + 2)*4. -68/5 What is (-30 + 27)*3 - (11 - 39)? 19 -2*(0 - -13 - -9)*(-5)/10 22 What is the value of (-2758)/200 + (-4941)/(-123525)? -55/4 Calculate (-83 + 89)*(-2 - 55/15). -34 Calculate (-2485)/(-77) + (-50 - (-29016)/572). 33 ((-32)/(-3))/(((-11935)/651)/55) -32 ((-2418)/(-465))/(377/
{ "pile_set_name": "DM Mathematics" }
cement from bmxbxmmbbbbbmx. What is prob of sequence bxm? 1/26 What is prob of sequence kkk when three letters picked without replacement from {k: 3, x: 9, e: 1, q: 2, d: 4}? 1/969 Three letters picked without replacement from {t: 1, x: 1, e: 5, h: 6, f: 1}. What is prob of sequence txh? 1/364 Four letters picked without replacement from {n: 2, o: 1, m: 1, d: 4}. Give prob of sequence ddnm. 1/70 Two letters picked without replacement from {x: 1, a: 1, m: 1, s: 1, c: 1}. What is prob of sequence ac? 1/20 Calculate prob of sequence api when three letters picked without replacement from anaapiipnii. 4/165 Calculate prob of sequence mm when two letters picked without replacement from {f: 5, m: 2, w: 5}. 1/66 What is prob of sequence wb when two letters picked without replacement from wbrqbkebqqrrbq? 2/91 What is prob of sequence pp when two letters picked without replacement from bypbbpbwywy? 1/55 Calculate prob of sequence bf when two letters picked without replacement from {b: 1, r: 1, u: 1, s: 1, f: 1}. 1/20 Calculate prob of sequence xuu when three letters picked without replacement from {x: 2, u: 7}. 1/6 Two letters picked without replacement from {h: 5, u: 14}. Give prob of sequence hh. 10/171 Calculate prob of sequence unz when three letters picked without replacement from fnziuuuffzo. 1/165 Two letters picked without replacement from {x: 4, w: 10, o: 2}. What is prob of sequence xx? 1/20 Four letters picked without replacement from {d: 1, n: 12, q: 6}. What is prob of sequence nqnd? 11/1292 Calculate prob of sequence doa when three letters picked without replacement from aaoodaa. 4/105 Four letters picked without replacement from {z: 2, x: 1, q: 2, y: 8, g: 2, f: 2}. What is prob of sequence yqfy? 1/255 Two letters picked without replacement from xnnnunnxuxnx. Give prob of sequence xx. 1/11 What is prob of sequence ke when two letters picked without replacement from evkmk? 1/10 What is prob of sequence hghh when four letters picked without replacement from zgkhchh? 1/140 Calculate prob of sequence uu when two letters picked without replacement from {q: 10, u: 9}. 4/19 What is prob of sequence pp when two letters picked without replacement from {y: 8, u: 1, h: 2, p: 3, j: 1, f: 1}? 1/40 Two letters picked without replacement from wwwwwwwww. Give prob of sequence ww. 1 Four letters picked without replacement from {s: 4, n: 2, d: 5, y: 2, f: 1, a: 1}. What is prob of sequence dady? 1/819 Calculate prob of sequence hvxv when four letters picked without replacement from hhxhvvhxxx. 2/315 What is prob of sequence hc when two letters picked without replacement from {c: 1, v: 2, h: 1, z: 1}? 1/20 Calculate prob of sequence fzzl when four letters picked without replacement from {l: 1, z: 2, f: 4}. 1/105 Calculate prob of sequence jjh when three letters picked without replacement from {h: 1, j: 3}. 1/4 Calculate prob of sequence qssq when four letters picked without replacement from {q: 2, s: 10}. 1/66 What is prob of sequence dmim when four letters picked without replacement from iximidmi? 1/210 Three letters picked without replacement from {d: 2, p: 5, y: 3}. What is prob of sequence dyp? 1/24 Four letters picked without replacement from mcmcdccdccc. What is prob of sequence cdcd? 7/660 What is prob of sequence pllp when four letters picked without replacement from ltllplupuuuuukluuuuk? 1/2907 Four letters picked without replacement from {n: 3, j: 3, q: 13}. What is prob of sequence jnjj? 1/5168 Two letters picked without replacement from vvwvvvvvvvvwvvwvvv. Give prob of sequence ww. 1/51 Two letters picked without replacement from iwpnppnppnpiipiwipp. What is prob of sequence wn? 1/57 Two letters picked without replacement from {y: 4, g: 11, o: 4}. What is prob of sequence yg? 22/171 What is prob of sequence nbnn when four letters picked without replacement from nbnbbnbb? 1/56 Three letters picked without replacement from ggggjjgggjgg. Give prob of sequence jgg. 9/55 What is prob of sequence kb when two letters picked without replacement from bbbbbbbbbkbb? 1/12 Three letters picked without replacement from imsmsmmmmsmssms. Give prob of sequence iss. 1/91 What is prob of sequence flub when four letters picked without replacement from {b: 2, f: 1, l: 5, u: 1, i: 8}? 1/5712 Three letters picked without replacement from vzyvvvyzfy. What is prob of sequence yvz? 1/30 Three letters picked without replacement from cyyycca. What is prob of sequence acc? 1/35 Calculate prob of sequence iu when two letters picked without replacement from {v: 1, u: 1, n: 2, m: 1, i: 1, f: 1}. 1/42 Two letters picked without replacement from ettteetuet. What is prob of sequence et? 2/9 Two letters picked without replacement from {u: 1, q: 1, c: 2, m: 8, r: 1, o: 7}. What is prob of sequence ou? 7/380 What is prob of sequence ggy when three letters picked without replacement from gggggygggggggggggg? 1/18 Four letters picked without replacement from {h: 2, c: 1, i: 1, z: 1, k: 1, m: 1}. What is prob of sequence mhzc? 1/420 Two letters picked without replacement from {y: 3, o: 7}. Give prob of sequence oy. 7/30 Calculate prob of sequence oo when two letters picked without replacement from jjoejjjeo. 1/36 Calculate prob of sequence kyyk when four letters picked without replacement from {y: 3, k: 2, v: 4, p: 1}. 1/420 Three letters picked without replacement from {f: 2, m: 3, u: 3}. What is prob of sequence uuu? 1/56 Four letters picked without replacement from jaaaylg. What is prob of sequence agja? 1/140 What is prob of sequence kuxj when four letters picked without replacement from uxxjukxjkxuxujj? 4/819 What is prob of sequence rwp when three letters picked without replacement from {w: 1, r: 1, h: 1, g: 2, p: 4}? 1/126 Four letters picked without replacement from {r: 4, p: 6}. Give prob of sequence prpr. 1/14 Three letters picked without replacement from {k: 10, x: 9}. What is prob of sequence kxx? 40/323 Four letters picked without replacement from {h: 5, i: 7, b: 7}. Give prob of sequence hibb. 245/15504 Calculate prob of sequence rrt when three letters picked without replacement from {t: 4, p: 4, m: 2, q: 1, s: 3, r: 1}. 0 Four letters picked without replacement from {e: 1, y: 1, x: 8, t: 7, q: 2}. Give prob of sequence xqyx. 7/5814 Four letters picked without replacement from kwgwgwwwgwpwi. Give prob of sequence gkwp. 7/5720 Calculate prob of sequence iiii when four letters picked without replacement from {i: 6}. 1 Four letters picked without replacement from {v: 2, l: 5, p: 1, q: 3, f: 3, a: 1}. Give prob of sequence falf. 1/1092 Three letters picked without replacement from lrlrrr. Give prob of sequence rrl. 1/5 Calculate prob of sequence im when two letters picked without replacement from {m: 1, k: 4, i: 2}. 1/21 Two letters picked without replacement from {f: 2, w: 2, j: 1, y: 4, r: 3}. What is prob of sequence rj? 1/44 Four letters picked without replacement from {m: 6, z: 6}. What is prob of sequence mzmz? 5/66 What is prob of sequence xg when two letters picked without replacement from bllbgbxsbgls? 1/66 Four letters picked without replacement from dddididdiddddddidddd. What is prob of sequence didi? 8/323 Four letters picked without replacement from {h: 8, q: 2, w: 3, y: 2}. Give prob of sequence wyhh. 2/195 What is prob of sequence zs when two letters picked without replacement from snskoozyz? 1/18 Four letters picked without replacement from {a: 2, z: 2, v: 1, n: 1, w: 2}. Give prob of sequence nzwz. 1/420 Two letters picked without replacement from pnnnpnnnwnwnnnn. Give prob of sequence wp. 2/105 What is prob of sequence ass when three letters picked without replacement from {e: 3, s: 2, a: 5}? 1/72 What is prob of sequence yls when three letters picked without replacement from {s: 2, y: 1, l: 1}? 1/12 Four letters picked without replacement from {d: 3, n: 7, h: 2, e: 2, i: 3, a: 1}. What is prob of sequence niin? 7/2040 Two letters picked without replacement from vtttvvtttvvlliivvvi. Give prob of sequence tt. 5/57 Four letters picked without replacement from {q: 1, k: 2, a: 1, j: 4, e: 1}. Give prob of sequence eeke. 0 What is prob of sequence eu when two letters picked without replacement from {e: 1, u: 1, r: 1, d: 1, j: 1}? 1/20 Four letters picked with
{ "pile_set_name": "DM Mathematics" }
earest ten thousand? 240000 Let v = -277.6 - -183. Let u = v - -82. Round u to the nearest integer. -13 Let u(b) = -9*b + 17. Let g be u(7). Round g to the nearest 10. -50 Let o = 6.92 - -0.08. Let r = 6.999985 - o. What is r rounded to 5 dps? -0.00002 Let q = 188 - 93. Round q to the nearest ten. 100 Let r = 62693026 - 62693031.6999942. Let q = -5.7 - r. What is q rounded to 6 decimal places? -0.000006 Let a = 3.8 - 2. Let g = a - 1.8028. Round g to three decimal places. -0.003 Let g = -2157259 - 1142741. What is g rounded to the nearest 1000000? -3000000 Let a = -200 - -523. Let m = -322.99999871 + a. Round m to 7 decimal places. 0.0000013 Let x(z) = -6733337*z + 11. Let i be x(3). What is i rounded to the nearest 1000000? -20000000 Let z = 51.3 + -59. Round z to the nearest integer. -8 Let y = -25 + 75. Let v = y - 50.0105. What is v rounded to three decimal places? -0.011 Let k = 3.02 - -308.94. Let i = -306 + k. Let f = i - 6. Round f to one dp. 0 Suppose 3269947 = -c + 77318. Let p = 1362629 + c. Round p to the nearest one hundred thousand. -1800000 Let k = 144 + -59. Let p = -80.85 + k. Let a = -4 + p. What is a rounded to one decimal place? 0.2 Let o = 82753.019 - 82795. Let c = -101 + 59. Let q = c - o. Round q to two decimal places. -0.02 Let q(k) = -26540*k - 1. Let h be q(-4). Suppose 3*x + 310841 = -h. Round x to the nearest 10000. -140000 Let m = 35.8 + -45. Let h = -6.3 - m. Let r = h + -2.90052. Round r to 4 decimal places. -0.0005 Let k = 6626 + -4626. What is k rounded to the nearest 1000? 2000 Let q = -1.08 - -1.08057. What is q rounded to 4 dps? 0.0006 Suppose -4*h - c + 44008 = 3*c, 5*h + 3*c - 55006 = 0. What is h rounded to the nearest ten thousand? 10000 Let n = 8332366.999874 - 8332448. Let z = -81 - n. Round z to five decimal places. 0.00013 Let a = 96.32 - 96.55005. Let p = 0.23 + a. What is p rounded to four dps? -0.0001 Let n = 38.905 - 39. Round n to two dps. -0.1 Let i = -1.7 + 232.7. Let c = -1200986708.99999883 - -1200986940. Let u = i - c. Round u to 7 dps. -0.0000012 Let o = 3.985 - 4. Let f = 0.115 - 0.42. Let x = o - f. What is x rounded to one dp? 0.3 Let u = 0.36 + -50.46. Let a = 0.107 + 54.893. Let p = a + u. Round p to zero dps. 5 Suppose 0 = -3*u, -f + 0*u + 3*u = -510. What is f rounded to the nearest 100? 500 Let h(d) = d**3 + 8*d**2 - d + 8. Let c be h(-8). Let w be -1474 + c/(-4 + 8). Round w to the nearest 100. -1500 Let s(j) = 5*j**3 + j**2 - 1. Let k be s(1). Suppose -k*i = -2*i + 231000. What is i rounded to the nearest 10000? -80000 Let s = 0.11072 - 0.11. Round s to four dps. 0.0007 Let f = 1.15 + 643.85. Let j = -644.6734 + f. Let i = j - 0.33. What is i rounded to three decimal places? -0.003 Let z = 13262242 + -8162242. What is z rounded to the nearest one million? 5000000 Let j = 809.999999289 - 810. What is j rounded to 7 dps? -0.0000007 Let w = -151 + 150.9999934. Round w to 6 decimal places. -0.000007 Let b = 26.8 - -6.2. Let r = 624746.0021 + -624713. Let j = b - r. What is j rounded to 3 dps? -0.002 Let o = 7 - 7.00000038. Round o to 7 dps. -0.0000004 Let u = 0.875 - 0.66. Let z = u - -0.015. Round z to 1 dp. 0.2 Let h = 766.9213 + -767. Round h to 2 decimal places. -0.08 Let g = 0.1 + -0.09. Let n = -0.00999808 + g. Round n to seven dps. 0.0000019 Let b = -2341.156 - -2355. Let v = b + -14. Let q = v + 0.17. Round q to two decimal places. 0.01 Let q = -672 + 637.3. Let x = 32 + q. Round x to zero decimal places. -3 Let o(m) = -10*m**2 - 4*m + 10. Let x(b) = -9*b**2 - 3*b + 10. Let v(n) = -5*o(n) + 6*x(n). Let c be v(8). Round c to the nearest 100. -200 Let j = -269804.6891 - -269831. Let p = j + -26.3. Round p to three dps. 0.011 Let y = 45 + -44.99989. Round y to 4 decimal places. 0.0001 Let m = 5.39 + -4.708. Round m to 1 decimal place. 0.7 Let s = 4.199912 + -4.2. What is s rounded to 5 decimal places? -0.00009 Let k(c) = -46155*c**2 - 13*c + 26. Let p be k(-13). Round p to the nearest one million. -8000000 Let s(k) = 252*k - 3. Let m be s(2). Suppose m + 2299 = 4*y. Round y to the nearest 100. 700 Suppose -o = -4*a - 5*o + 97199980, 4*a + 3*o = 97199985. Suppose 0 = 3*x + 2*g + a, 5*g + 268135 = -5*x - 40231865. Round x to the nearest 1000000. -8000000 Let y = 202 - 200.99. What is y rounded to 0 decimal places? 1 Let a = -80 - -80.0000185. What is a rounded to six dps? 0.000019 Let n = 6 - 5.2. Let b = -0.800189 + n. Round b to 5 decimal places. -0.00019 Let j = 1671 + -1697.92. Let y = 28 + j. Let t = y - 0.8. Round t to 1 dp. 0.3 Let k = 11.56 - 12. Let a = k + 1. What is a rounded to 1 dp? 0.6 Let o = 251 - 251.0246. What is o rounded to three dps? -0.025 Let p = -5.8 - 2.2. Let j = 9897752.9999952 + -9897745. Let r = j + p. Round r to 6 decimal places. -0.000005 Let i be (42/(-56))/((-2)/5627312). Let l = -3330242 + i. Round l to the nearest one hundred thousand. -1200000 Let y be (-3 - -7 - 4) + 0. Suppose y = -t - 17 - 51. Round t to the nearest ten. -70 Let w = -1852503 + 1182975. Let o = -320472 + w. What is o rounded to the nearest 100000? -1000000 Let h(v) = v**2 - 6*v + 2. Let q be h(6). Let m(l) = 8 - 8 - 8*l - 1837*l**3 - 3*l**q. Let r be m(-7). Round r to the nearest 100000. 600000 Let t = -256.1 - -255.8002. Let n = -7.7 + 8. Let i = n + t. What is i rounded to four decimal places? 0.0002 Let w = 0.8 + -0.83. Let l = 0.02964 + w. Round l to four dps. -0.0004 Let b = -22.2 - 132.8. Let d = -339 - b. Let q = -183.999881 - d. What is q rounded to five dps? 0.00012 Let l = 3.05 - 3.0661. Round l to 3 dps. -0.016 Let a = 0.068 - 0.067935. Round a to four dps. 0.0001 Let u = 0.64 - -0.06. Let h = -0.7000026 + u. Round h to 6 decimal places. -0.000003 Let u = 150184248.25317 + -150181831. Let v = -2394.253 + u. Let a = 23 - v. Round a to 4 decimal places. -0.0002 Let y = 4.85 - 5. Let q = y + 0.149915. Round q to five dps. -0.00009 Let m = 157.673 + 0.427. Let w = m + -23.1. Let n = -135.00000081 + w. Round n to 7 dps. -0.0000008 Let z = -1.5 - -14.3. Let b = 140.8 - z. Let n = b - 127.923. What is n rounded to 2 dps? 0.08 Let k = -28 - -32. Suppose r + 0*r = 212002. Let h be r/k + 5/(-10). Round h to the nearest 10000. 50000 Let a = 14.07 - 0.07. Let x = a + -14.00000032. What is x rounded to 7 dps? -0.0000003 Suppose 0*x + 6 = 3*x, 0 = -4*f + 3*x + 80794. What is f rounded to the nearest 1000? 20000 Let b = 0.090125 + 124.966875. Let o = 211 - 336. Let l = o + b. Round l to two dps. 0.06 Let c = 305.2547 - 51.2677. Let v = -283.02 + c. Let j = v - -29. What is j rounded to 2 decimal places? -0.03 Let l = -0.074 + -1.238. Let h = 0.318 - l. Round h to 1 decimal place. 1.6 Suppose 0 = 3*z - 494 - 118. Suppose -2*h = 4*d - 0*d - 148, -3*h = -3*d - z. What is h rounded to the nearest ten? 70 Suppose -13*w = -9*w + 208000. What is w rounded to the nearest ten thousand? -50000 Let p = 71.9999917 + -72. What is p rounded to 6 dps? -0.000008 Let l = -59.4 - -54. Let t = -7 - l. What is t rounded to zero decimal places? -2 Let f = -93751 - -141751. What is f rounded to the nearest ten thousand? 50000 Suppose -8 = -4*w - 24. Let t be w/(2/(2/(-1))). Let z be t/6 - (-34)/3. What is z rounded to the nearest 10? 10 Let b = -368988 - 441012. What is b rounded to the nearest one hundred thousand? -800000 Let c be (100/(-6))/((-8)/(-108)). Let d be c/6*(-1712)/6. What is d rounded to the nearest one thousand? 11000 Suppose w - 3*k = -1379, -4*w - k - 5586 = k. Let g = 434 + w. What is g rounded to the nearest 100? -1000 Let o = -2234 + 2224.33. Let h = o + 9.3. Round h to one decimal place. -0.4 Let t = 57321985 - 57322020.9999958. Let b = 0.32 - 36.32. Let c = b - t. Round c to 6 dps. -0.000004 Let f be 1*((1 - 3) + 3). Let k(c) = -30*c**3 + 2*c**2 - c. Let z be k(f). What is z rounded to the nearest 10? -30 Let n be ((-36)/(-5))/((-4)/(-99160)). Suppose j + 8488 = n. What is j rounded to the nearest one hundred thousand? 200000 Let c = 11 - 7. Suppose -30 = -5*y + 3*y. Let l be (y/c)/(1/4800). Round l to the nearest ten thousand. 20000 Let s = 72.14 - 0.04. Let m = -76 + s. What is m rounded to zero dps? -4 Let n = 56151.066 - 56092. Let a = 59 - n. What is a rounded to 2 decimal places? -0.07 Let a = 0.9 - 0.9017. Round a to 3 decimal places. -0.002 Let v = 44 - 44.000014. W
{ "pile_set_name": "DM Mathematics" }
cked without replacement from crr? 1/3 Two letters picked without replacement from ffdffffdff. What is prob of sequence fd? 8/45 Calculate prob of sequence fxe when three letters picked without replacement from {z: 1, p: 1, f: 2, o: 3, e: 2, x: 3}. 1/110 Three letters picked without replacement from {x: 6, n: 7}. Give prob of sequence nxn. 21/143 Calculate prob of sequence btt when three letters picked without replacement from ftbrtghh. 1/168 Four letters picked without replacement from {e: 5, q: 14}. What is prob of sequence eeee? 5/3876 Two letters picked without replacement from pzfumfpq. Give prob of sequence fq. 1/28 What is prob of sequence ec when two letters picked without replacement from clntnlnllcenntenct? 1/51 Four letters picked without replacement from {q: 1, l: 17}. Give prob of sequence llql. 1/18 Four letters picked without replacement from xtkyuuok. What is prob of sequence touu? 1/840 What is prob of sequence ddk when three letters picked without replacement from viucviuudiuk? 0 What is prob of sequence nna when three letters picked without replacement from afffnnaanaaanaaa? 9/280 What is prob of sequence txxt when four letters picked without replacement from {t: 7, x: 4}? 7/110 Three letters picked without replacement from xbbxxxbx. Give prob of sequence xbb. 5/56 Four letters picked without replacement from {o: 1, q: 2, l: 2, b: 6}. What is prob of sequence qbll? 1/330 What is prob of sequence gg when two letters picked without replacement from aaaaaaqgaaaqg? 1/78 Four letters picked without replacement from babbbdbbbdbobdbdb. Give prob of sequence adbo. 11/14280 Calculate prob of sequence xhhh when four letters picked without replacement from adaahaxahdadhadd. 1/7280 Calculate prob of sequence kk when two letters picked without replacement from {i: 2, k: 4}. 2/5 Three letters picked without replacement from {b: 5, r: 1, c: 8, p: 2}. Give prob of sequence bbr. 1/168 Calculate prob of sequence aaa when three letters picked without replacement from aaagaaga. 5/14 What is prob of sequence uv when two letters picked without replacement from vvugi? 1/10 What is prob of sequence ubz when three letters picked without replacement from {u: 2, f: 1, z: 2, v: 4, b: 1}? 1/180 Three letters picked without replacement from pqwzwbrpqwwq. Give prob of sequence pzw. 1/165 What is prob of sequence cccg when four letters picked without replacement from {g: 7, c: 3}? 1/120 Four letters picked without replacement from ffguffgguf. Give prob of sequence uugf. 1/168 Calculate prob of sequence rif when three letters picked without replacement from {b: 1, z: 8, i: 2, r: 2, f: 1}. 1/546 What is prob of sequence pp when two letters picked without replacement from {m: 1, p: 19}? 9/10 Two letters picked without replacement from {z: 9, s: 11}. Give prob of sequence sz. 99/380 Calculate prob of sequence ng when two letters picked without replacement from {g: 3, l: 3, n: 9, m: 1, w: 2}. 3/34 Four letters picked without replacement from {b: 2, d: 7}. Give prob of sequence bddb. 1/36 Three letters picked without replacement from {m: 2, s: 1, t: 1}. Give prob of sequence mts. 1/12 Two letters picked without replacement from {m: 5, q: 2, v: 2}. Give prob of sequence vm. 5/36 Four letters picked without replacement from {r: 1, n: 1, v: 2}. What is prob of sequence vnrv? 1/12 Four letters picked without replacement from xsxffxwswhfsmsswss. Give prob of sequence mhxm. 0 What is prob of sequence bx when two letters picked without replacement from {b: 4, x: 2, u: 3, q: 1}? 4/45 Four letters picked without replacement from xxxxnxxxxxnxxxxnxxxn. What is prob of sequence xxxn? 112/969 Four letters picked without replacement from aaalaaaaaaajaaaaaa. What is prob of sequence alaj? 1/306 Three letters picked without replacement from {p: 11, y: 1}. Give prob of sequence ypp. 1/12 Calculate prob of sequence kg when two letters picked without replacement from gpvkkkpwkppvxpkk. 1/40 Two letters picked without replacement from ccaac. What is prob of sequence ac? 3/10 Calculate prob of sequence giau when four letters picked without replacement from {u: 5, i: 2, y: 1, a: 2, n: 8, g: 2}. 1/2907 What is prob of sequence xxxf when four letters picked without replacement from xgbqxfx? 1/140 Four letters picked without replacement from jjjjjddjjdjjjdjjjjj. Give prob of sequence ddjd. 5/1292 Three letters picked without replacement from {y: 2, l: 10}. What is prob of sequence lly? 3/22 Three letters picked without replacement from {y: 4, z: 2, v: 2, e: 4}. What is prob of sequence yev? 4/165 What is prob of sequence djpz when four letters picked without replacement from {j: 1, d: 1, p: 2, z: 1}? 1/60 Two letters picked without replacement from {j: 3, u: 5, x: 1}. What is prob of sequence ju? 5/24 Calculate prob of sequence aee when three letters picked without replacement from nedieddzdazde. 1/286 Calculate prob of sequence dpp when three letters picked without replacement from pppdpppppppppppppppp. 1/20 Calculate prob of sequence kkkk when four letters picked without replacement from {k: 5, r: 9}. 5/1001 What is prob of sequence weew when four letters picked without replacement from {e: 3, w: 2}? 1/10 Two letters picked without replacement from {u: 1, z: 1, p: 9, w: 6, l: 1, f: 2}. Give prob of sequence zl. 1/380 What is prob of sequence tft when three letters picked without replacement from {t: 2, f: 1, v: 2, c: 1}? 1/60 Calculate prob of sequence nl when two letters picked without replacement from {y: 1, n: 2, l: 1, t: 4, f: 1}. 1/36 What is prob of sequence nggn when four letters picked without replacement from {h: 2, g: 2, n: 2}? 1/90 Two letters picked without replacement from {l: 2, m: 1, t: 1, y: 2, h: 2, a: 1}. Give prob of sequence ay. 1/36 What is prob of sequence akku when four letters picked without replacement from {j: 1, p: 4, k: 4, a: 1, u: 9}? 3/2584 Four letters picked without replacement from kkkvvvvkvvekkk. Give prob of sequence ekvk. 3/286 What is prob of sequence tj when two letters picked without replacement from {r: 3, a: 3, b: 5, j: 1, h: 2, t: 1}? 1/210 Calculate prob of sequence uh when two letters picked without replacement from {h: 3, u: 3}. 3/10 Calculate prob of sequence zr when two letters picked without replacement from rqzzzzzuzzuu. 7/132 Four letters picked without replacement from lboblbbblbob. Give prob of sequence obbl. 7/330 Three letters picked without replacement from {j: 3, s: 2, g: 3}. What is prob of sequence sgj? 3/56 Four letters picked without replacement from {a: 3, y: 4}. Give prob of sequence yyya. 3/35 Three letters picked without replacement from jjqqjjjjj. Give prob of sequence jqj. 1/6 Calculate prob of sequence pmtp when four letters picked without replacement from {d: 4, x: 1, b: 3, m: 1, p: 4, t: 1}. 1/2002 Calculate prob of sequence sf when two letters picked without replacement from {u: 2, s: 1, f: 2}. 1/10 Calculate prob of sequence sshs when four letters picked without replacement from hhshhhshshhhhh. 1/364 Three letters picked without replacement from tjbbjsjjjissjj. What is prob of sequence btj? 1/156 Four letters picked without replacement from {v: 4, b: 2, t: 6}. Give prob of sequence btbt. 1/198 Two letters picked without replacement from {o: 2, y: 6, m: 1, t: 3, k: 2, g: 6}. Give prob of sequence kt. 3/190 Calculate prob of sequence gg when two letters picked without replacement from ghhgxxggxhhhhx. 6/91 Three letters picked without replacement from {b: 1, j: 2, v: 1}. Give prob of sequence jvb. 1/12 Calculate prob of sequence nff when three letters picked without replacement from {z: 1, n: 1, f: 2, u: 2, p: 2}. 1/168 Two letters picked without replacement from jjjjjjjvjjjjnjjj. Give prob of sequence vj. 7/120 What is prob of sequence nnn when three letters picked without replacement from {s: 2, n: 4}? 1/5 Calculate prob of sequence lmbb when four letters picked without replacement from bbulmii. 1/420 Two letters picked without replacement from jxnnqxl. Give prob of sequence qq. 0 Four letters picked without replacement from ccccpcrrrrpcccccrr. Give prob of sequence ppcr. 1/612 Two letters picked without replacement from {o: 2, v: 2, a: 1}. What is prob of sequence vv? 1/10 Four letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
19, -n - 8 = 2*t. Which is smaller: -33/20 or t? t Suppose -20 + 20 = -7*n. Let d(f) = -4*f + 1. Let u be d(n). Which is smaller: u or -12/25? -12/25 Let h(i) = -2*i + 153. Let x be h(28). Is x less than 96? False Suppose -3*i = -7*i + 3*q - 2, -2*q + 2 = -2*i. Suppose 10*a = 12*a - 72. Let r be a/(-144) - (-2 + 1 + 0). Which is greater: i or r? i Suppose -3*g = -2*u + 12, -8 = -2*u + 2*g + 2*g. Let s = u + -29. Let z = 84/5 + s. Is z less than 0? True Let f = -5/3 + 1261/753. Are f and 0 non-equal? True Let q = 87385/1032 + -254/3. Which is smaller: -1 or q? -1 Suppose -79*x + 2*w - 696 = -82*x, -3*x + w = -696. Is x greater than 232? False Suppose 2*d = -n - 1, -5*n = 2*d + d + 5. Is 3/44 >= d? True Let h = 0.0605 + 47.9395. Are h and 0.1 equal? False Let j(c) = -c**3 - 16*c**2 - c - 11. Let y be j(-16). Suppose z = -3*t + 4, 0*z + 3*z = -y*t. Let o be (4 - (3 - t)) + -3. Is o equal to -2/47? False Let a = -103.09 - -114. Let d = 11 - a. Let z = -0.0253 + 0.0253. Which is smaller: d or z? z Suppose -3 = f + 3*z - 0, -2*f + 2 = -2*z. Suppose f = -c + 4*c. Which is smaller: -12 or c? -12 Let q = 39 - 37. Let j = -6 - q. Is -2 greater than or equal to j? True Suppose -89 = a - 114. Are a and 25 equal? True Let d be (-2364)/(-20) - (36/(-20) + 2). Which is greater: 117 or d? d Let h = -197 + 201. Which is smaller: -18 or h? -18 Suppose 9*z - 4*z = 100. Let u be ((-6)/9)/(z/108). Is u > -3? False Suppose -2*o - 64 = -5*j, -4*j - 2*o = 2*o - 68. Let m = 78 - 66. Are m and j nonequal? True Let h(u) = 12*u**2 - u + 1. Let m be h(1). Let g be 1/((-3)/m) + -3. Which is bigger: -34/5 or g? -34/5 Let u = -27.1 + 26. Let o = u - 0.9. Suppose 0*a - a - 2 = 0. Are a and o equal? True Let u = -10/31 + 828/2759. Let o be 1/(3 + (-2)/1). Which is smaller: o or u? u Let m = -4303/16 - -269. Suppose j + 2 = 1. Let t be ((0/1)/1)/j. Which is smaller: m or t? t Let m(s) = s + 1. Let h be m(0). Suppose -2*u = -5*q + 2, 0*u - 14 = 3*q - 5*u. Let l be 0/q*(0 + 1). Is h >= l? True Suppose -25 = -16*l + 11*l. Let r = 0 + l. Let s = -43 + 52. Is r smaller than s? True Let s be 6*1 + 8 + 9. Is s at most 9? False Suppose -9*a + 8*a = 2*g + 5, 0 = -g + a + 5. Is g >= -2/289? True Suppose -2*o + p - 4 + 0 = 0, 0 = 5*o + 2*p + 19. Is -44/15 smaller than o? False Suppose 7*i - 10*i = 54. Let u = 18 + i. Is -2/123 at most u? True Let i = -67.1 + 30.2. Let c = i - -39. Let w = -2.2 + c. Which is smaller: -3 or w? -3 Let f = -997 - -998. Which is greater: -13/31 or f? f Suppose 4*u = 3*u. Let j = 347 - 348. Is j greater than u? False Let a = 283 + -1979/7. Let r(o) be the third derivative of o**4/24 - 2*o**3/3 - 2*o**2. Let m be r(3). Are m and a non-equal? True Let l be 1/(-3)*-3 - (3 + -2). Let n be l/(3 + -2) - (-2)/1. Let i = 411/308 + -17/28. Which is greater: i or n? n Suppose -3*t = -2*h + 41, -27*h + 3*t = -32*h + 71. Which is greater: h or -2/29? h Let l be (5/5 - -2)/(-1) - 319/(-99). Let i be (1/(-1 + 2))/1. Let w = 1 - i. Do l and w have the same value? False Let t = -589.94 - -590. Is t not equal to -53? True Let b be 2/8 - (-350)/(-1336). Suppose 29*j = -38*j. Is b equal to j? False Suppose 18 = -4*l + 2*x, 59 - 19 = -5*l - x. Let j(c) = -2*c + 3*c - 4 - c**2 - 7*c. Let s be j(l). Is -11 smaller than s? False Let x = -9 + 8. Let o be (-3580)/(-155)*9/2. Let u = o + -104. Which is greater: u or x? u Let l = 497 + -529. Is -29 >= l? True Let m = 3.67 + 2.18. Let j = -0.05 + m. Let y = j + -2.8. Is -2 greater than y? False Suppose 4*g + 0*g = -112. Let f be (2*6/g)/(4/(-28)). Which is bigger: 15/7 or f? f Let w = 78 - 77.43. Let o = w - 0.51. Is o > 15? False Let w = 355/3032 + 3/379. Is 2 greater than w? True Suppose -3*o - 16 = 3*u - 2*o, -55 = 5*u - 4*o. Let g be (12/(-42))/(1/u*8). Let l = 2 + -3. Which is bigger: l or g? g Let v be 130/56 + 1/(2*2). Suppose 5*s = -4 - 1. Let k be (-11)/(-3) - s/3. Is v bigger than k? False Let b be (34/4 - 7) + 2/4. Suppose 6*f + 28 = -b. Which is smaller: -56/9 or f? -56/9 Let q = -1291 - -1290. Is 0.19 < q? False Let c = 83 + -78. Let n be 3 - (144/45 + (-1)/c). Is -4/5 equal to n? False Let r = 8/3273 + -15766129/36003. Let d = r + 437. Which is greater: -1 or d? d Suppose 48 = -3*m + 4*m. Suppose 7*o = o - m. Let q = o + 18. Are q and 9 equal? False Let v = -1 - 2. Let b be 16 - v/12*-4. Let c = b + -16. Is -2 not equal to c? True Let g be ((-658)/(-28))/(14/4 - 3). Which is smaller: 45 or g? 45 Let z = 17 - 16.93. Let u = z - 0.2. Let t = -0.11 - -0.01. Which is greater: u or t? t Let i(v) = -v**2 - 2*v**2 + v**2 + 0*v - v. Let c be i(-1). Let k = 4 + c. Is k greater than 8/5? True Let n = -213 - -215. Which is smaller: -0.007 or n? -0.007 Let l(o) = 2*o**3 - 13*o**2 - 6*o + 2. Let b be l(7). Let v = 16 - b. Suppose -3 + 31 = 4*u. Is v bigger than u? False Let p be 4/5*(-10 + 15). Suppose 2*r + m + 8 = -4*m, -r = -p*m + 4. Which is greater: r or 0.4? 0.4 Let v = -0.56 + 0.46. Let n = -0.4 + v. Which is bigger: n or 2/7? 2/7 Suppose u + g = 4*g, -4*g = -2*u. Suppose 5*w = -4*p - 19, u*p - 11 = 3*w + 2*p. Let b be (-2)/9 + 50/(-18). Is w at least b? True Let q be ((-12)/(-10))/(2/5). Let u be q + (-3)/(3 + 0). Suppose u*p + 3*a = -2*p - 2, 3*p + 3*a = 0. Which is greater: 1 or p? 1 Let s = 1904 - 2668. Is -765 at least s? False Let d = -0.1 + -0.1. Let y = -48.097 - -0.097. Which is greater: y or d? d Suppose 415 = 4*a + 5*h, -6*h = -5*a - 5*h + 555. Suppose -51 = 3*r - 2*k, -5*k = 3*r + 2*r + a. Which is bigger: r or -22? r Let x = -1/21 + -29/273. Let v = x + -5/52. Is v greater than -50? True Let n = 83 - 8. Suppose n = -12*g + 3. Is g less than -7? False Let b = 176.99 - 178. Let j = b - -0.01. Let i = -0.053 - -0.453. Which is smaller: i or j? j Let g be 3289/121 + 1 - 2. Is 25 bigger than g? False Suppose 5*d + 112 = 10*d - 2*y, -2*d + 43 = y. Are 22 and d unequal? False Let v(u) = u**3 - 4*u**2 + 2. Let l be v(2). Let k be (-9)/(-27) + (-1)/l*-5. Suppose 4 = c + 2*n, 3*c + c + 2*n = 4. Is k equal to c? False Let x(v) = 3*v + 39. Let i be x(-9). Let g = i - 60. Which is bigger: -47 or g? -47 Let o = 2/3555 - -3551/7110. Is o < -810? False Let v = -0.26 + 0.17. Let p = v - 0.11. Let w = 0.1 + p. Are w and -8 equal? False Suppose 5*d = q - 19, -3*q - 4 = -4*q. Let y = 0 - 2. Let t = y + 0. Is d < t? True Let f be 12 + -14 + (-3485)/(-1837). Let k = f + 2/167. Is k less than or equal to 0.1? True Suppose 2*z - 108 = z. Let t be (-6)/(-12)*2 - z/106. Which is bigger: t or -1? t Suppose 8*v = 5*v + 4*f + 116, -2*v + 74 = -f. Is v less than 37? True Let b = 156 + -120. Is 33 < b? True Let v = -19 - -21.5. Let k = -2.8 + v. Which is smaller: -1/4 or k? k Let p = 1926110759/984 + -1957430. Let h = p + -1/123. Which is smaller: h or 1? h Let m be (-34832)/168 + (-14)/(1*-2). Which is smaller: -199 or m? m Let x = -4 + 3.6. Let w = -0.3 - x. Let z be (-42)/8 - (-1 - (-2 + 6)). Is w greater than z? True Let d be (2/(-1189))/(-58*(-2)/(-19774)). Let v = -5/841 - d. Is v greater than 0? False Let g = 931 + -1098. Is -160 bigger than g? True Let b be 6 + ((-16)/4 - 0) - 1. Which is smaller: b or 1/615? 1/615 Suppose -4*n + 2*i + 62 = 0, 36 = 5*n + 3*i - 14. Let k = -15 + n. Let w = -1168/7 + 166. Which is smaller: w or k? k Let a be ((-3)/51 - 0)*(-4)/(-2). Which is bigger: 45 or a? 45 Suppose 3*p + 322 = 43. Let f be ((-15)/20)/(p/(-8)). Which is smaller: f or -1? -1 Let x be (-5)/10 + (-6)/4. Let l(h) = -h**2 + 3*h + 3. Let v be l(x). Let z be 4*(-2 + 1/4). Is z less than v? False Let f = -0.08 + -4.92. Let i = f + -2. Let h = i + 7. Which is greater: h or 1? 1 Let c be -7 - (-6 + -5 + 5). Suppose 2*l - 5*y = -29, 2*y + 0*y = l + 12. Let h = 2 + l. Is c greater than h? False Let m be 3 + 3 + -1 - 0. Suppose 4*s + 100 = m*q - 54, 4*q = 3*s + 123. Let k be ((-4)/(-10))/(42/q). Are 2 and k unequal? True Let y(z) = 4*z - 15. Let v be y(4). Is v bigger than -12? True Let o(b) = 5*b**2. Let v be o(1). Suppose v*x - 27 = -3*a, 0*x - 4*x = -4*a + 4. Let i be (0 - 0)*(-2)/a. Which is smaller: i or -3/8? -3/8 Suppose 72 = -9*j + j. Let i = 3 - j. Which is bigger: i or 13? 13 Let h(a) = -a**3 + 5*a**2 + 7*a - 1. Let r be h(5). Let y = -249 + 255. Suppose 4*d - 13 = l, -4*d + r = -4*l + y. Is -4 > l? True Let l(b) = -b**2 - 19*b - 8. Let
{ "pile_set_name": "DM Mathematics" }
e x'th term of -919913, -919916, -919919, -919922, -919925? -3*x - 919910 What is the k'th term of -4913, -5250, -5589, -5930? -k**2 - 334*k - 4578 What is the d'th term of 16844, 33695, 50546? 16851*d - 7 What is the z'th term of 140544, 140568, 140616, 140694, 140808, 140964? z**3 + 6*z**2 - z + 140538 What is the n'th term of 251, 8, -735, -1978? -250*n**2 + 507*n - 6 What is the x'th term of -66, -553, -1882, -4479, -8770? -71*x**3 + 5*x**2 - 5*x + 5 What is the s'th term of 2683, 5370, 8059, 10750? s**2 + 2684*s - 2 What is the h'th term of -574, -1475, -2714, -4291, -6206, -8459, -11050? -169*h**2 - 394*h - 11 What is the i'th term of -440, -1885, -4336, -7793, -12256, -17725, -24200? -503*i**2 + 64*i - 1 What is the s'th term of -962, -3938, -8900, -15848, -24782, -35702, -48608? -993*s**2 + 3*s + 28 What is the f'th term of 219, 412, 567, 660, 667, 564, 327, -68? -4*f**3 + 5*f**2 + 206*f + 12 What is the h'th term of 86675, 173350, 260025, 346700, 433375? 86675*h What is the u'th term of -351, -1406, -3167, -5634, -8807, -12686, -17271? -353*u**2 + 4*u - 2 What is the t'th term of 1274, 1349, 1424, 1499, 1574? 75*t + 1199 What is the k'th term of -170, -372, -586, -812, -1050, -1300, -1562? -6*k**2 - 184*k + 20 What is the t'th term of -466304, -932605, -1398906, -1865207, -2331508, -2797809? -466301*t - 3 What is the r'th term of 1388, 2033, 2666, 3281, 3872, 4433, 4958? -r**3 + 652*r + 737 What is the g'th term of -7349, -7346, -7343, -7340? 3*g - 7352 What is the f'th term of -90515, -181026, -271537, -362048? -90511*f - 4 What is the r'th term of 2189, 8812, 19843, 35276, 55105, 79324, 107927, 140908? -r**3 + 2210*r**2 - 20 What is the y'th term of 23169, 46336, 69503, 92670, 115837, 139004? 23167*y + 2 What is the y'th term of 1925, 3897, 5909, 7961, 10053, 12185, 14357? 20*y**2 + 1912*y - 7 What is the y'th term of -302, -620, -942, -1268, -1598? -2*y**2 - 312*y + 12 What is the n'th term of 41208, 82419, 123630, 164841, 206052, 247263? 41211*n - 3 What is the u'th term of 1784201, 1784202, 1784203? u + 1784200 What is the y'th term of 12, -205, -422, -639, -856? -217*y + 229 What is the h'th term of -4708, -4684, -4660, -4636, -4612, -4588? 24*h - 4732 What is the t'th term of -13, -47, -121, -253, -461, -763? -3*t**3 - 2*t**2 - 7*t - 1 What is the h'th term of 497, 422, 331, 230, 125, 22? h**3 - 14*h**2 - 40*h + 550 What is the d'th term of 336, 2532, 8448, 19944, 38880? 310*d**3 + 26*d What is the r'th term of 140, 554, 1678, 3866, 7472? 59*r**3 + r**2 - 2*r + 82 What is the g'th term of -596, -769, -944, -1121? -g**2 - 170*g - 425 What is the h'th term of 806, 840, 892, 968, 1074? h**3 + 3*h**2 + 18*h + 784 What is the n'th term of 1122, 4569, 10314, 18357? 1149*n**2 - 27 What is the a'th term of -1701, -1611, -1509, -1389, -1245, -1071, -861, -609? a**3 + 83*a - 1785 What is the s'th term of 507, 883, 991, 699, -125? -22*s**3 - 2*s**2 + 536*s - 5 What is the w'th term of -9248, -9256, -9266, -9278? -w**2 - 5*w - 9242 What is the c'th term of -16873, -17021, -17169, -17317, -17465? -148*c - 16725 What is the t'th term of 390, 383, 370, 351, 326, 295? -3*t**2 + 2*t + 391 What is the p'th term of -45, -62, -81, -102, -125, -150, -177? -p**2 - 14*p - 30 What is the y'th term of -13, -14, 19, 104, 259, 502? 3*y**3 - y**2 - 19*y + 4 What is the r'th term of 86983, 86994, 87005, 87016, 87027, 87038? 11*r + 86972 What is the n'th term of 68643, 68638, 68633, 68628? -5*n + 68648 What is the y'th term of 128, 259, 414, 605, 844, 1143? 2*y**3 + 117*y + 9 What is the f'th term of 2227, 2195, 2163? -32*f + 2259 What is the r'th term of -929, -1782, -2635, -3488? -853*r - 76 What is the a'th term of 125346, 125345, 125344, 125343, 125342, 125341? -a + 125347 What is the a'th term of 1889, 1870, 1847, 1826, 1813, 1814, 1835? a**3 - 8*a**2 - 2*a + 1898 What is the s'th term of 52146, 104248, 156350, 208452? 52102*s + 44 What is the y'th term of 9, 736, 2701, 6522, 12817? 103*y**3 + y**2 + 3*y - 98 What is the w'th term of 8256, 8280, 8304, 8328? 24*w + 8232 What is the w'th term of 6706, 6840, 6972, 7096, 7206, 7296? -w**3 + 5*w**2 + 126*w + 6576 What is the t'th term of 75944, 75946, 75948, 75950, 75952, 75954? 2*t + 75942 What is the m'th term of 371, 506, 637, 764, 887, 1006? -2*m**2 + 141*m + 232 What is the t'th term of 16004, 32026, 48048? 16022*t - 18 What is the q'th term of -4297, -8621, -12947, -17269, -21581, -25877, -30151? q**3 - 7*q**2 - 4310*q + 19 What is the c'th term of -1009168, -2018348, -3027530, -4036714? -c**2 - 1009177*c + 10 What is the g'th term of -254, -277, -310, -353? -5*g**2 - 8*g - 241 What is the t'th term of 2, 27, 68, 125, 198, 287, 392? 8*t**2 + t - 7 What is the c'th term of -2815, -2802, -2779, -2746, -2703, -2650, -2587? 5*c**2 - 2*c - 2818 What is the l'th term of -16616, -33226, -49836, -66446, -83056? -16610*l - 6 What is the x'th term of 2015, 2031, 2045, 2057, 2067, 2075, 2081? -x**2 + 19*x + 1997 What is the o'th term of 47, 267, 657, 1211, 1923, 2787? -o**3 + 91*o**2 - 46*o + 3 What is the c'th term of -2261, -2309, -2357, -2405? -48*c - 2213 What is the w'th term of 435, 1748, 3987, 7200, 11435? 8*w**3 + 415*w**2 + 12*w What is the m'th term of -2431629, -4863258, -7294887, -9726516? -2431629*m What is the s'th term of -111, -128, -179, -282, -455, -716? -3*s**3 + s**2 + s - 110 What is the s'th term of -141011, -564047, -1269107, -2256191? -141012*s**2 + 1 What is the o'th term of 125, 2028, 7483, 18266, 36153, 62920? 296*o**3 - 169*o - 2 What is the z'th term of -196, -49, 100, 251, 404, 559, 716? z**2 + 144*z - 341 What is the v'th term of -1347, -1352, -1375, -1422, -1499, -1612? -v**3 - 3*v**2 + 11*v - 1354 What is the z'th term of -348, -1264, -2802, -4974, -7792, -11268, -15414? -2*z**3 - 299*z**2 - 5*z - 42 What is the g'th term of 1582, 2835, 4088, 5341, 6594? 1253*g + 329 What is the o'th term of -19698, -39335, -58974, -78615, -98258, -117903, -137550? -o**2 - 19634*o - 63 What is the k'th term of 117, 480, 1027, 1752, 2649? -k**3 + 98*k**2 + 76*k - 56 What is the r'th term of -178, -328, -484, -646, -814? -3*r**2 - 141*r - 34 What is the d'th term of -147, 212, 565, 912? -3*d**2 + 368*d - 512 What is the l'th term of 440, 508, 576, 644, 712? 68*l + 372 What is the d'th term of -29652, -59304, -88956, -118608, -148260? -29652*d What is the a'th term of 4530, 4771, 5016, 5265, 5518? 2*a**2 + 235*a + 4293 What is the y'th term of 4795, 4792, 4789, 4786, 4783, 4780? -3*y + 4798 What is the g'th term of 944, 3884, 8790, 15668, 24524? g**3 + 977*g**2 + 2*g - 36 What is the m'th term of -16040, -32081, -48122, -64163, -80204? -16041*m + 1 What is the u'th term of 128243, 128244, 128245, 128246? u + 128242 What is the u'th term of -18592, -74375, -167346, -297505, -464852, -669387? -18594*u**2 - u + 3 What is the w'th term of 176, 248, 346, 482, 668, 916, 1238, 1646? 2*w**3 + w**2 + 55*w + 118 What is the i'th term of 1055, 4221, 9521, 16967, 26571, 38345, 52301? 2*i**3 + 1055*i**2 - 13*i + 11 What is the o'th term of -684, -1352, -2020? -668*o - 16 What is the s'th term of 988, 1002, 1016, 1030? 14*s + 974 What is the u'th term of -89, -340, -769, -1376, -2161? -89*u**2 + 16*u - 16 What is the f'th term of 15374, 15365, 15352, 15335? -2*f**2 - 3*f + 15379 What is the p'th term of -55, -224, -611, -1318, -2447, -4100, -6379? -17*p**3 - 7*p**2 - 29*p - 2 What is the j'th term of -1750, -1745, -1738, -1729, -1718, -1705, -1690? j**2 + 2*j - 1753 What is the h'th term of 72, 222, 466, 810, 1260, 1822? h**3 + 41*h**2 + 20*h + 10 What is the y'th term of -3548, -3559, -3570, -3581, -3592? -11*y - 3537 What is the v'th term of -88, -85, -80, -73, -64, -53, -40? v**2 - 89 What is the z'th term of 1651, 2376, 3101, 3826? 725*z + 926 What is the v'th term of -3351410, -3351412, -3351414, -3351416, -3351418? -2*v - 3351408 What is the y'th term of -20, -146, -352, -680, -1172, -1870, -2816? -7*y**3 + 2*y**2 - 83*y + 68 What is the j'th term of -24, -29, -34? -5*j - 19 What is the y'th term of -170, -1118, -3592, -8354, -16166? -127*y**3 - y**2 - 56*y + 14 What is the h'th term of 16770, 67064, 150894, 268266, 419186, 603660? h**3 + 16762*h**2 + h + 6 What is the v'th term of 918018, 1836038, 275
{ "pile_set_name": "DM Mathematics" }
u be ((-15)/4)/(-5)*(-8)/(-3). What is the closest to 2 in v, u, 1? u Let n be 2/6*(-12)/84 + 4/(-14). Let v = -9 - -5. Let x = v - 3. What is the nearest to n in -4, -3/7, x? -3/7 Let l = -22992 - -45983/2. Let p(o) = o**2 - 5*o + 7. Let v be p(5). What is the nearest to l in v, -0.2, -2/7? -2/7 Let z = -1495 + 2772. Let f = -1277 + z. Let s = 0 + -0.1. Which is the closest to f? (a) s (b) -5 (c) -1/5 a Let r(k) = -k**3 + 68*k**2 - 89*k + 1475. Let z be r(67). Which is the closest to -0.1? (a) z (b) -0.3 (c) -5/3 (d) -376 b Let n = -3.808 + -2.342. What is the nearest to -0.1 in n, 0.1, -5? 0.1 Let n = 54555/4 + -13638. What is the nearest to 0.04 in -0.02, n, -0.2? -0.02 Let b = -1929.9 + 1930. What is the nearest to 2/35 in 5, b, -2/9? b Let w = 21 + -9.75. Let p = 11.4 - w. Let r = -7 - -12. Which is the closest to p? (a) r (b) 0 (c) 1/2 b Let q = 10766 - 10765.9. Let f = 8 + -9. Let x be (f + 3)*1/2. Which is the nearest to q? (a) 5 (b) -2 (c) x c Let h be 1/(1/(-1))*0. Let y be (-31)/2 - (-1456)/104. Let w = -9 - -9.01. Which is the closest to h? (a) 3 (b) y (c) w c Suppose -v + 26 + 1 = 0. Let a = v + -17. Suppose -a*h = -h + 36. What is the closest to 0.01 in -0.4, 1/3, h? 1/3 Let w be ((-35)/245)/(3/7)*(-9)/12. What is the closest to 2 in w, -8, 0.6, -1/4? 0.6 Let y(o) = -2*o - 13. Let p be y(4). Let t = 4704 + -4703.6. What is the nearest to p in -3, -1, t? -3 Let u = 16504 - 16503.89. What is the nearest to -1/2 in u, 3, 3/86? 3/86 Let j = -2.7 - 0.3. Suppose -12*m + x = -15*m + 5, -m - 3*x - 1 = 0. What is the nearest to j in m, 1, 0.3? 0.3 Let w = -3 + 2.9. Let j = -41.2 + -155.8. Let l = j - -197.2. Which is the nearest to w? (a) 0.1 (b) -7/6 (c) l a Let p(h) = -h + 7. Let w be p(8). Let q be 0*(2/(-4))/w. Suppose 3*o + 10 + 23 = 0. Which is the nearest to q? (a) -5 (b) -3 (c) o b Let y be (1/(-4))/(((-18612)/(-880))/141). Let s = 0.1 + -0.1. Which is the closest to -0.1? (a) y (b) s (c) 3/5 b Let x = -1905 + 1904.8. What is the nearest to x in 0.3, -1, -3/2, 0.2? 0.2 Let p = -1597/36 - -173/4. Let o(i) = 9*i + 339. Let k be o(-38). Which is the closest to -1/3? (a) -0.2 (b) p (c) 1/2 (d) k a Let t = 45281/56595 + -1/11319. Which is the nearest to 0? (a) 9 (b) t (c) 0.1 (d) -0.01 d Let r be (-14)/(-56)*20/3. Let n = -0.04523 - -0.24523. What is the nearest to -2 in r, -2/5, n? -2/5 Let o = -36 - -94. Let l = 78 - 23. Let r = l - o. Which is the closest to r? (a) 2 (b) 0.2 (c) 3/8 b Suppose 3*x + 6 = -3. Let v = 8072/209 + -426/11. Let z be (-3)/24*-2 + 0. What is the nearest to v in x, -0.1, z? -0.1 Let n = 21.04 - 21. Suppose 199*z - 98*z - 16 = 85*z. What is the closest to -0.03 in 2/7, n, z? n Let p = 16067/5 + -3213. Which is the nearest to -3? (a) 3 (b) 4/27 (c) p (d) -5 d Let m be (-1)/((-1)/(-12)*3). Let h = -552 + 552.1. Let k = -27 + 26.9. Which is the closest to h? (a) m (b) k (c) -0.3 b Let z = -414 - -225. Let r = -190 - z. What is the nearest to 0.08 in -0.4, r, 2/11? 2/11 Let j = -0.54 - -0.04. Let d = 265/12 - 87/4. Let z = -1 + 0. Which is the closest to d? (a) z (b) 0.1 (c) j b Let y be (1827/(-13195))/(4/(60/9)). What is the nearest to y in 4, 10, -5? 4 Let d = 1226.6 - 1227. Let o = 5 - 2. Let w = -62/11 - -354/55. What is the closest to o in d, -2/3, w? w Let y = 0.52 + -0.6. Let g = 17267/7 - 2467. What is the closest to g in y, -5, -0.1? -0.1 Let f be 4/12*0*(-3 + 17 - 15). Which is the nearest to f? (a) -16 (b) -5 (c) 40 b Let z = 39.59 - 39.69. What is the nearest to 67 in z, 1/4, 0.4, 2/21? 0.4 Let g be 22 + -37 + (-65)/(-5). What is the nearest to 1 in -2/11, 144, g? -2/11 Let a(q) = q**2 - 147*q + 3924. Let f be a(35). What is the nearest to -0.1 in f, -1219, -3, -2? -2 Let a = 746 - 746.4. What is the nearest to -2/413 in a, -3, 2? a Let s = 47 + -47.5. Let v = 14.9 - 10.9. Which is the nearest to 4? (a) -3/4 (b) s (c) 3 (d) v d Suppose -4*q = -5*m + 11, -4*m + 3*q - 6*q + 15 = 0. Suppose -2 = m*x + 4. Let s be (-4)/84 - x/(-7). Which is the closest to s? (a) 1/7 (b) -1 (c) 3 a Let m(g) = -g**3 + g**2 + 14*g - 26. Let k be m(3). Let y = -11 + 11.01. Let l = y - 0.51. Which is the closest to -1? (a) l (b) 2/5 (c) k a Let o = -5.1 + 4.1. What is the closest to 5/4 in 0.5, o, 0.7? 0.7 Let h = -143305/4 + 35827. Which is the nearest to 1/3? (a) 1 (b) 4 (c) h (d) -2 c Let p = 86.7 - 87.2. Let t = 67 - 66.8. What is the closest to 2 in -110, p, t? t Let f = -3652 + 3652.3. Which is the nearest to -4? (a) -0.1 (b) f (c) 4/5 a Let d = -1/288 + 193/288. What is the closest to -0.04 in 2/5, d, 1? 2/5 Let t = 0.74 - -0.26. Let h = -3885.5 + 3885. Which is the nearest to t? (a) -16 (b) h (c) -1 b Let j = -77 + 75. Suppose -2 - 7 = -3*s. Let i be 15/(-25) - (-14)/90. Which is the closest to 5? (a) i (b) s (c) j b Let f = 36 - 71/2. Let n = 23.81 - 1.21. Let j = n - 23. Which is the closest to f? (a) -2 (b) 2 (c) j c Suppose 7*j - 6*j = -3*l - 12, 0 = 3*l - 5*j - 24. Let i be (-2)/5*3/(-9). Which is the nearest to l? (a) i (b) -0.1 (c) 0.4 b Let w = 236.18 + -235.98. Which is the closest to -51? (a) 3 (b) w (c) -5 (d) -3/5 c Let p = 26 + -24.7. Let n = -0.7 - p. Let c(q) = -6*q - 23. Let f be c(-4). What is the closest to f in n, 4/7, -4? 4/7 Let z = 4793 + -4794. Which is the nearest to 1? (a) -0.02 (b) z (c) -1/2 (d) 0.4 d Let d = -10 - -6. Let p = -0.144 + 0.719. Let m = 0.425 + p. Which is the nearest to 1? (a) m (b) -2/3 (c) d a Let u = -27327 - -27327.3. Let q = 0.4 + -0.3. Which is the closest to 8? (a) u (b) q (c) -1 a Let f = 457/7 + -2278/35. What is the closest to f in 2, 7, -5, 0.3? 0.3 Let r be (206/8 - 17) + (-27)/3. What is the closest to r in 3, 4, 5, 2/11? 2/11 Let b(v) = -62*v + 314. Let d be b(5). Let l be 2*(-3 - (-25)/8). Let x = 1 + -4. What is the closest to l in -5, x, d? x Let v = -1550 - -1549.96. Which is the closest to v? (a) -5 (b) -2/3 (c) 6 (d) 0.3 d Let z = -25130 + 452339/18. Which is the nearest to -4? (a) 2/5 (b) -7 (c) -3 (d) z c Let y = 193.3434 - 0.4434. Let h = -193 + y. Which is the nearest to -21? (a) 0.4 (b) -0.2 (c) h b Let v = -0.06847 + 0.68847. Which is the nearest to 0.2? (a) 2 (b) -1/6 (c) v (d) 0 d Let c(x) = -2*x**2 + 45*x - 214. Let o be c(16). What is the nearest to 10 in 0.2, -2/13, o? 0.2 Let u = 24942 + -49881/2. What is the nearest to u in 0.67, -2, -0.5? 0.67 Let d = 1408.12 - 1408. What is the closest to 1/3 in d, 2, 0.4, 4? 0.4 Let i be (3 - 50/16)/(4/120*15). Let p = -16 - -17. What is the closest to p in -0.2, 3, -0.3, i? -0.2 Let g(i) = -28 - 30 - 7*i + 61 + i. Let w be g(-1). Let l be ((-3)/(w/2))/(10/6). What is the closest to l in 0.5, -1, 4? -1 Let t = 155.5 + 1.5. Let n = t + -156.8. What is the closest to n in 5, 3, 5/4? 5/4 Let s = -47 + 60. Let t = 114.3 + -108. Let y = -6.3 + t. What is the nearest to -0.1 in y, s, -4? y Let a = 0.031 - -0.109. Let g = -751.9 - -752. What is the nearest to 0.3 in -1, 0, g, a? a Let l = -1 + -16. Let i = 11 - l. Let x = 30 - i. What is the closest to 0 in x, -1/2, 1/7? 1/7 Suppose -3 = -r, 3*r + 25 = -5*l + 8*r. Let n(x) = x**3 - 2*x**2 - 4*x - 4. Let a be n(l). What is the nearest to -1 in 1, a, 3, 0? 0 Let z be (969/12 + -7)*(-2)/(-436). Let l = z - -4/109. Suppose f + 0*f = 5. Which is the nearest to 3? (a) -1/4 (b) f (c) l b Let f(z) = 7*z - 25. Let u(p) = -120*p + 425. Let w(y) = -35*f(y) - 2*u(y). Let n be w(5). Which is the nearest to n? (a) -2 (b) 0.3 (c) 3 b Let t(i) = i**2 - 8*i - 10. Let f be t(9). Let w = -0.3749 - -0.0749. What is the closest to f in -6, 2, w? w Suppose 0 = 4*s + d - 23, 5*d + 22 = 3*s - 24. Suppose 3*r = -2*f - 7, 5*r - 9*f + s*f - 15 = 0. What is the closest to -5 in 4, r, -3, 2? -3 Let g = -2799 - -2767. What is the closest to -19 in g, 0.5, 0? g Let q be 6/9 + (-123)/54. Let c = q + 1/9. Suppose 0 = -w - l + 3 - 5, -w + 4 = -l. What is the nearest to w in c, -4, -0.5? -0.5 Suppose 0 = -2*k + 2. Let y = -3925287/7 - -560755. Let m = -306/11 + 28. What is the nearest to m in k, -1, y? y Let f = 63.81 - 64.08. What is the closest to f in 0, 0.14, 1/4, 4? 0 Let d = 33 + -38. Let k = 7 + d. Let w be (-25)/14 + (76/(-28) - -3). Which is the nearest to k? (a) -4 (b) 1/8
{ "pile_set_name": "DM Mathematics" }
s 100 - -10101100010001? 10101100010101 In base 9, what is -3118 + -58? -3177 In base 15, what is 136 + 661? 797 In base 4, what is 221 - -2001? 2222 In base 8, what is -13706143 - -4? -13706137 In base 3, what is 201020010 - 21? 201012212 In base 11, what is -5 - -11257? 11252 In base 12, what is 1a - -6065? 6083 In base 7, what is 0 - -10126014? 10126014 In base 4, what is 32 - 11133? -11101 In base 11, what is 27811 + 14? 27825 In base 8, what is 1653 + 332? 2205 In base 13, what is 148a88 + -2? 148a86 In base 3, what is 12112222121001 + -2? 12112222120222 In base 10, what is -13 - 5921? -5934 In base 6, what is -343220 + 310? -342510 In base 16, what is -495ffc - 2? -495ffe In base 9, what is 255 + 645? 1011 In base 2, what is -1000000000 + -1111? -1000001111 In base 8, what is 32 - -173516? 173550 In base 8, what is 17221 - 0? 17221 In base 14, what is 55 - -11d? 174 In base 13, what is 262 + -1c? 243 In base 5, what is 24403 - 1401? 23002 In base 10, what is -2 - 16853? -16855 In base 9, what is 0 - 12317? -12317 In base 4, what is -31221132 - -1? -31221131 In base 13, what is -2495a - 3? -24960 In base 4, what is 3021 + 3213? 12300 In base 15, what is 1 + -1ab9? -1ab8 In base 8, what is 141030 + -1? 141027 In base 13, what is -6c - 66? -105 In base 10, what is 716 + 1743? 2459 In base 12, what is -190 + 408b? 3abb In base 12, what is 4b8051 - -1? 4b8052 In base 12, what is 0 + -6710? -6710 In base 13, what is 0 + -94a0? -94a0 In base 11, what is 3357 - -1? 3358 In base 8, what is -106 + -20707? -21015 In base 8, what is 4 - -4277460? 4277464 In base 4, what is 131130 + 21? 131211 In base 5, what is 331 - 204121? -203240 In base 13, what is -300 - -71b? 41b In base 8, what is -34423 - -5? -34416 In base 2, what is -1011000110111 + 1100100? -1010111010011 In base 4, what is 103023123 - -2? 103023131 In base 8, what is -2 + -6063? -6065 In base 6, what is 45514 + -11? 45503 In base 6, what is 4 - 2102433? -2102425 In base 11, what is -3 - -724515? 724512 In base 10, what is 53048 + -4? 53044 In base 10, what is 818 - -5? 823 In base 16, what is -155 - d5b? -eb0 In base 5, what is 10 - -103010333? 103010343 In base 10, what is -1119 - 7? -1126 In base 9, what is 35564 - -30? 35604 In base 5, what is -44310 + 1020? -43240 In base 16, what is -2 + 2f0e? 2f0c In base 7, what is 136 + -133545? -133406 In base 16, what is -88643 - 5? -88648 In base 12, what is -174 - -501? 349 In base 6, what is 10122 + -1312? 4410 In base 16, what is 3 + 163c? 163f In base 6, what is -231 + 15353? 15122 In base 15, what is 388 - 362? 26 In base 9, what is 12860 - 1? 12858 In base 14, what is 864 + -6c? 7d6 In base 16, what is -751a + -30? -754a In base 15, what is b + -20ee? -20e3 In base 10, what is -3868 - 17? -3885 In base 7, what is -6635 + -4? -6642 In base 5, what is 12422 - -103? 13030 In base 13, what is -2445 + -1? -2446 In base 14, what is 324 - 1d? 305 In base 14, what is -1c5d - 3d3? -2252 In base 7, what is -4 + 220426? 220422 In base 14, what is -14 - -451d? 4509 In base 5, what is -1134 - -42? -1042 In base 10, what is -622 - 4? -626 In base 6, what is -20332102 + -4? -20332110 In base 16, what is -197 - 21a? -3b1 In base 9, what is 0 - -380214? 380214 In base 3, what is -11002000 + 22012? -10202211 In base 13, what is -18b4b + -a2? -18c20 In base 16, what is 2c0b5 - -7? 2c0bc In base 16, what is 8 + -bda? -bd2 In base 8, what is 5156 - 55? 5101 In base 12, what is 3 + 30364? 30367 In base 12, what is 11b - 15234? -15115 In base 15, what is -655 + -a1? -706 In base 6, what is 154 - -324? 522 In base 7, what is -1411 - -56? -1322 In base 15, what is -3d - -322? 2d4 In base 8, what is -3074 - -65? -3007 In base 2, what is 110001 - 100001100100000? -100001011101111 In base 4, what is -113313 + 111? -113202 In base 15, what is 1810 + -5? 180a In base 6, what is -354 + -143155? -143553 In base 5, what is 141023 + 20? 141043 In base 2, what is 10000111111100110001 - -1? 10000111111100110010 In base 3, what is -21120 + -2002202? -2101022 In base 10, what is -4 - 313449? -313453 In base 12, what is -abb6 - -17? -ab9b In base 11, what is 1a6a - -7? 1a76 In base 8, what is 2 + 121011? 121013 In base 7, what is 330421 - -3? 330424 In base 12, what is -b561 - -3? -b55a In base 13, what is -12b37a - c? -12b389 In base 8, what is -112301 + -1? -112302 In base 12, what is 196767 - -1? 196768 In base 13, what is -21b09 + -40? -21b49 In base 3, what is 2101 + -1201010? -1121202 In base 2, what is -100011111 + -1101110011100? -1110010111011 In base 7, what is 431 + -130? 301 In base 14, what is 0 - 5dd? -5dd In base 2, what is 101000010001111110 - 1? 101000010001111101 In base 15, what is -d22a8 - 4? -d22ac In base 7, what is -10 + 10462? 10452 In base 13, what is 5c + 398? 427 In base 12, what is -1a70 - -1? -1a6b In base 5, what is -304102201 - 0? -304102201 In base 9, what is 0 - 14011? -14011 In base 11, what is 2906 + 13? 2919 In base 14, what is 28 - -5dcd? 6017 In base 14, what is 0 + -475a? -475a In base 13, what is 52 - 4037? -3cb5 In base 9, what is 11055 - -6? 11062 In base 2, what is 1100 - 100100110111110? -100100110110010 In base 9, what is -63028 - 4? -63033 In base 14, what is -92 - 515? -5a7 In base 2, what is 101000111001 + -101? 101000110100 In base 14, what is -4 - -90570? 9056a In base 15, what is 6275 + -3? 6272 In base 7, what is -3361121 - -5? -3361113 In base 8, what is -4010 + -465? -4475 In base 4, what is 1123 + -201? 322 In base 14, what is -35cd + 5a? -3573 In base 12, what is b + -7a25? -7a16 In base 16, what is a2e91 + -1? a2e90 In base 4, what is -13103 + 321? -12122 In base 16, what is -3 - 8052? -8055 In base 13, what is 21c6 + 20? 2216 In base 16, what is -1b58 - 7? -1b5f In base 11, what is -236321 + -3? -236324 In base 12, what is -3 - 300755? -300758 In base 11, what is -10520 + 404? -10117 In base 13, what is -3 + c1978? c1975 In base 3, what is 12 + 10001100121? 10001100210 In base 11, what is 16507 - 3? 16504 In base 15, what is -165a + -2c? -1687 In base 16, what is 4bba - -1f? 4bd9 In base 10, what is -73 + 18? -55 In base 7, what is -52310 + -5? -52315 In base 8, what is -522 + 1735? 1213 In base 5, what is 24 + 21021? 21100 In base 12, what is -5 - 428a42? -428a47 In base 6, what is -4515103 - -4? -4515055 In base 15, what is -1783 - 7? -178a In base 12, what is 5 + 43067a? 430683 In base 15, what is 0 - 712d4? -712d4 In base 4, what is -13200011 + 111? -13133300 In base 6, what is 15 - -31043? 31102 In base 13, what is -16c + -a3? -242 In base 4, what is -2002 + 30? -1312 In base 2, what is -11 - -11010011010001000010? 11010011010000111111 In base 3, what is 2011102220 - 12? 2011102201 In base 9, what is -61887 - 0? -61887 In base 3, what is 1002210 + 11? 1002221 In base 16, what is 3 - -15e2? 15e5 In base 13, what is -3b6 + -c94? -137a In base 15, what is -c + 1c1a? 1c0d In base 3, what is -102120 + 12002? -20111 In base 11, what is 0 + -8740a8? -8740a8 In base 6, what is -412 - 203? -1015 In base 2, what is 11 + 100010011000110? 100010011001001 In base 13, what is 1934a7 - 5? 1934a2 In base 8, what is 41 - -2560? 2621 In base 10, what is -1087 - -275? -812 In base 13, what is -13ca - -c? -13bb In base 12, what is -22b187 + -4? -22b18b In base 13, what is -24bb + -5ca? -2ab8 In base 11, what is -43a6 - -21? -4385 In base 2, what is 10 - -100110000011000110? 100110000011001000 In base 5, what is 11231 - 311? 10420 In base 15, what is 110 - 71? 8e In base 15, what is 25e7e - 2? 25e7c In base 10, what is 81 - -248? 329 In base 10, what is -1 - -21863? 21862 In base 11, what is 5 + a249? a253 In base 14, what is 3 - -2bdc96? 2bdc99 In base 2, what is 1001101 - -10011100110111? 10011110000100 In base 10, what is 24 - -85341? 85365 In base 2, what is -101111011000111001010 + 0? -101111011000111001010 In base 8, what is 4 + -54134? -54130 In base 8, what is 1 - 15274? -15273 In base 7, what is 143352 + -4? 143345 In base 9, what is 4085 - -13? 4108 In base 3, what is -11 - 120201221? -120202002 In base 12, what is b23 + 4? b27 In base 6, what is 245152 - -12? 245204 In base 8, what is -616537 - -4? -616533 In base 9, what is -5217 - 337? -5555 In base 16, what is 1561 + -67? 14fa In base 13, what is -3 + 64c7? 64c4 In
{ "pile_set_name": "DM Mathematics" }
+ 8 + 2*v + 11. Determine h(m(d)). -16*d**2 Let l(z) = 53694*z**2. Let k(g) = -2*g. What is k(l(q))? -107388*q**2 Let m(y) = 8*y. Let n(h) be the second derivative of h**4/24 + 17*h**2/2 - 9*h. Let d(k) be the first derivative of n(k). Determine d(m(g)). 8*g Let s(r) = -127*r + 1. Let w(o) = -o - 3306 + 3306. Determine s(w(h)). 127*h + 1 Let a(y) = -134*y**2. Let c(i) be the third derivative of i**4/24 + 140*i**2. What is c(a(r))? -134*r**2 Let f(o) = 22614*o. Let j(h) = 4*h**2 - 1. Determine j(f(l)). 2045571984*l**2 - 1 Let p(f) = -12*f. Let d(z) be the first derivative of 13*z**2/2 - 31. Let a(b) = -2*d(b) - 3*p(b). Let k(u) = 3*u. Calculate k(a(i)). 30*i Let b(u) = 250*u**2 + 4*u. Let o(c) = 21*c**2. What is b(o(l))? 110250*l**4 + 84*l**2 Let q(s) = 222*s - 6. Let h(b) = -445*b + 10. Let t(a) = 3*h(a) + 5*q(a). Let d(x) = -2*x. What is d(t(y))? 450*y Let m(i) be the first derivative of 15*i**2/2 - 1. Let j(c) be the first derivative of -2*c**3/3 + 60. Give m(j(z)). -30*z**2 Let s(a) = -150*a + 1. Let r(f) = 1478*f - 1. Give s(r(m)). -221700*m + 151 Let r(d) = d**2 - 40*d - 32*d + 72*d. Let z(v) = 3*v + 39. Give z(r(p)). 3*p**2 + 39 Let i(v) = 3*v**2. Let q(r) = -10*r**2 - 2*r - 8. Let t(d) = 159*d**2 + 33*d + 132. Let j(z) = 66*q(z) + 4*t(z). Give j(i(b)). -216*b**4 Let o(b) be the second derivative of b**4/4 + 9*b. Let i(f) be the third derivative of f**4/8 - f**2. Calculate o(i(h)). 27*h**2 Suppose -10*f + 30 = -4*f. Let t(y) be the first derivative of 0*y + 0*y**2 - f - 2/3*y**3. Let o(i) = i**2. Give t(o(v)). -2*v**4 Suppose -4*r = i - 3*i - 2, r = -4*i + 14. Let k(z) = 20*z**2 - 46*z**r + 23*z**2. Let s(a) = -2*a. Determine s(k(m)). 6*m**2 Let z(d) = -221*d. Let p(j) = -838*j + 2. Calculate z(p(x)). 185198*x - 442 Let i(x) = -x. Let z = -39 + 65. Let f(a) = -82*a + 35*a + 45*a + z. Determine i(f(l)). 2*l - 26 Let i(b) = 2*b. Let w(c) = -312540*c. Determine i(w(d)). -625080*d Let b(t) = -46*t**2. Let w(c) = -40280*c. Calculate w(b(q)). 1852880*q**2 Let d(n) = -n**3 + 9*n**2 + 10*n - 21. Let a be d(9). Let y(w) = 30*w + 34*w - a*w. Let v(l) = 2*l**2 + 0 + 0. Give y(v(o)). -10*o**2 Let t(b) = -b**2 - 131. Let z(u) = -4*u + 7. Calculate t(z(v)). -16*v**2 + 56*v - 180 Let s(k) = -2*k - 9. Let n(w) = -11*w - 51. Let a(y) = 6*n(y) - 34*s(y). Let b(z) = -115*z - 3. Give b(a(o)). -230*o - 3 Let k(v) be the first derivative of 4*v**2 - 6*v + 247. Let i(t) = -t. What is i(k(g))? -8*g + 6 Let x(w) = -17*w. Let b(a) be the first derivative of -a**3/6 + 4*a - 6. Let y(u) be the first derivative of b(u). Calculate y(x(g)). 17*g Let q(k) be the first derivative of -8 + 0*k + 15/2*k**2. Let l(u) = -2*u. Calculate q(l(a)). -30*a Let z(n) = n**2 - 4. Let s = -55 - -56. Let f(o) = -10*o + 6. Let k(d) = 2*d - 1. Let a(p) = s*f(p) + 6*k(p). Calculate z(a(c)). 4*c**2 - 4 Let q(x) = 7*x + 6. Let t(v) = 8*v + 7. Let k(n) = 7*q(n) - 6*t(n). Let p(b) be the first derivative of 0*b - 1/2*b**2 - 2. What is k(p(y))? -y Let q(z) = 5*z**2. Let a(t) be the first derivative of -9 + 0*t**4 + 1/40*t**5 + 0*t + 0*t**2 + 4*t**3. Let m(v) be the third derivative of a(v). Give q(m(r)). 45*r**2 Let g(z) = -6*z**2. Let y(r) = 5 - 783*r + 787*r - 5. Give y(g(h)). -24*h**2 Let s(f) be the first derivative of 7 - 3/2*f**2 + 0*f. Let h(p) = 15*p**2 - 23*p**2 + 9*p**2. Calculate h(s(o)). 9*o**2 Let i(t) = -10*t. Let r(b) be the third derivative of -b**5/30 + 7*b**2 + 5. Determine r(i(z)). -200*z**2 Let b(o) = -o**2. Let x(z) = 112402*z. Give b(x(f)). -12634209604*f**2 Let d(y) = 28*y. Let n(p) = 18891*p. Determine d(n(r)). 528948*r Let a(h) = -5*h**2. Let c(o) = -o + 5. Let q(j) = 1. Let s(t) = -5. Let v(w) = 6*q(w) + s(w). Let n(r) = c(r) - 5*v(r). Give n(a(z)). 5*z**2 Let c(j) be the second derivative of 107*j**3/2 + 183*j - 1. Let d(o) = o. Give d(c(g)). 321*g Let o(r) = -43627*r. Let l(u) = -3*u. What is o(l(z))? 130881*z Let x(w) = -w**2. Let y(i) = -186*i + 3. Let v be y(-10). Let j(a) = -1863 + 41*a + v. Calculate j(x(b)). -41*b**2 Let d(z) = -655*z**2. Let s(m) = -26*m - 1. Determine s(d(q)). 17030*q**2 - 1 Let x(y) = -154*y + 382. Let w(z) = 9*z. Give x(w(j)). -1386*j + 382 Let d(l) = -2*l + 26. Let u(f) = f - 18. Let r(v) = -5*d(v) - 7*u(v). Let x(z) = -3*z. Calculate r(x(i)). -9*i - 4 Let v(w) be the first derivative of 0*w - 23/2*w**2 + 4. Let d(z) = -2*z**2 + 12. Let a(s) = -s**2 + 5. Let k(q) = 12*a(q) - 5*d(q). Determine v(k(o)). 46*o**2 Let f(q) = 2*q - 10. Let h(j) = -j + 4. Let t(s) = -2*f(s) - 5*h(s). Let p(w) be the second derivative of 0 + 0*w**2 + 2/3*w**3 - 2*w. Determine p(t(a)). 4*a Let a(r) = 8*r**2. Let n(l) = -205*l**2 + 102*l**2 - 2*l + 102*l**2. Let t(f) = -2*f**2 - 5*f. Let q(s) = -5*n(s) + 2*t(s). What is a(q(z))? 8*z**4 Let x(v) = 2*v. Let k(f) = -1820578*f. Give k(x(i)). -3641156*i Let t(d) = 7*d. Let m(s) = -17*s + 7. Let k(h) = 11*h - 5. Let a = -97 - -104. Let g(n) = a*k(n) + 5*m(n). Calculate t(g(i)). -56*i Let l(c) = 2*c**2. Let g(t) = 11*t**2 + 12*t - 4. Let j(v) = -10*v**2 - 14*v + 5. Let w(m) = 7*g(m) + 6*j(m). Calculate w(l(a)). 68*a**4 + 2 Let r(y) = 90*y. Let s(g) = 49*g. Let f(n) = 6*r(n) - 11*s(n). Let d(a) be the second derivative of 0 + 0*a**2 - 2/3*a**3 + a. Give f(d(z)). -4*z Let w(k) be the first derivative of -3*k**2/2 - 5. Suppose -2*c + 2 = 5*i - 6*c, 0 = i - 3*c + 4. Let p(o) = -8 + 3*o**i + 8. Calculate w(p(m)). -9*m**2 Let v(s) = -s. Let i(h) = -3. Let g(p) = 6*p + 69. Let z(x) = -g(x) - 12*i(x). Calculate z(v(u)). 6*u - 33 Let k(s) = 5*s + 1. Let g(c) = 12*c + 3. Let i(v) = -g(v) + 3*k(v). Let t(q) = 108*q**2. Give t(i(z)). 972*z**2 Let h(p) = 3*p**2 + 6. Let x(l) = 38*l**2 - l - 5. Determine x(h(u)). 342*u**4 + 1365*u**2 + 1357 Let z = 20 - 20. Let y(x) = z*x - 9*x + 5*x + 5*x. Let b(t) = -4*t**2 + 0*t**2 + 3*t**2. Determine y(b(a)). -a**2 Let f(m) = 0*m**2 - 9*m**2 - 3*m**2 + 6*m**2. Let o(l) = -26*l. Calculate o(f(g)). 156*g**2 Let d(c) = 2*c**2. Let z(q) = -10*q**2. Let j(k) = -16*d(k) - 3*z(k). Let l(g) = 3*g. Give j(l(i)). -18*i**2 Let v(l) = 14*l - 4. Let q(x) = 11*x - 3. Let j(a) = -4*q(a) + 3*v(a). Let t(p) = 2*p - 3. What is j(t(b))? -4*b + 6 Let k(j) = -8017*j**2. Let c(h) = h**2. What is k(c(x))? -8017*x**4 Let p be (-1 - -4)*(-26)/(-39). Let y(h) = 19*h - 15*h**p - 9*h - 10*h. Let w(a) = -3*a**2. What is y(w(i))? -135*i**4 Let a(h) be the third derivative of -h**7/1260 - h**5/4 - 12*h**2. Let g(u) be the third derivative of a(u). Let q(y) = 5*y. Give g(q(c)). -20*c Let u(s) = 4768*s. Let k(j) = 9*j**2. What is u(k(b))? 42912*b**2 Let j(y) = -805*y. Let d(u) = 2*u - 75. Calculate j(d(w)). -1610*w + 60375 Let p(r) = -72*r**2. Let s(q) be the third derivative of -q**4/24 - q**2 - 15. Calculate s(p(v)). 72*v**2 Let n(j) = 2*j**2. Let p(z) be the first derivative of 7*z**6/180 + z**5/60 - 11*z**3 + 11. Let u(t) be the third derivative of p(t). Give n(u(f)). 392*f**4 + 112*f**3 + 8*f**2 Suppose -3*o + 2*u + 249 = 0, 0 = -7*u + 4*u. Let j(c) = -o + 3*c**2 - 10*c**2 + 83. Let r(l) = -9*l**2. Give r(j(x)). -441*x**4 Let u(n) = 22*n + 9. Let r(v) = 44*v + 21. Let g(y) = 3*r(y) - 7*u(y). Let k(o) = 6*o**2. Determine g(k(j)). -132*j**2 Let i = -40 + 42. Let s(x) = i*x + 9*x + 2*x. Let a(d) = 2*d. Calculate s(a(m)). 26*m Let k(b) = -b - 40. Let v(r) = 82414*r - 2*r**2 - 82414*r. Determine k(v(i)). 2*i**2 - 40 Let j(s) = -2*s - 171. Let y(u) = 3*u. Determine j(y(b)). -6*b - 171 Let r(o) = -2*o**2. Let d(t) = -1354*t + 3. Give r(d(c)). -3666632*c**2 + 16248*c - 18 Let u(m) = 5*m. Let g(c) = 27*c**2 + 3*c**2 + 0 - 9 - 25*c**2 + 4*c**2. What is g(u(w))? 225*w**2 - 9 Let h(u) = -2*u**2 + 69872*u + 12. Let x(k) = 3*k**2. What is h(x(s))? -18*s**4 + 209616*s**2 + 12 Let i be -3 + 2 - (-3 - 0). Let n(r) = -r - 2. Let g(l) = 3*l + 7. Let f = -7 - -14. Let a(b) = f*n(b) + i*g(b). Let v(j) = -2*j**2. What is v(a(u))? -2*u**2 Let c(j) = j. Let r(z) be the second derivative of 0*z**2 + 1/12*z**4 + 0*z**3 + 0 - 35*z. Give c(r(g)). g**2 Let v(s) = -s - 20. Let b(n) = -n - 8. Let q(w) = -5*b(w) + 2*v(w). Let j(z) be the third derivative of z**5/15 - z**2. What is j(q(x))? 36*x**2 Let q(f) be the third derivative of 9*f**2 + 0 + 0*f - 1/6*f**3. Let c(j) = 3*j - 6. Let d(p) = c(p) - 6*q(p). Let a(z) = -z**2. Calculate d(a(u)). -3*u**2
{ "pile_set_name": "DM Mathematics" }
f k? 4 Let z = -267 - -1018. What is the hundreds digit of z? 7 Let h be (0 - 3)*(-1 - -13). Let k = h - -65. What is the units digit of k? 9 Suppose 3*o - 175 = -2*u, o - 47 = 5*u - 0*u. Suppose -6*i - o + 453 = 0. What is the units digit of i? 6 What is the thousands digit of (-4)/(-6) + 9201/9? 1 Let m be (3 - 31/(-5))*-5. Let l = m - -72. Suppose -d + 29 = 2*p, 4*d - 55 - l = -p. What is the units digit of d? 9 Let y(k) = k**3 - 9*k**2 - k + 11. Let l be y(9). Suppose 2*j = 3*r + 23, 14 = -4*r + l. What is the units digit of j? 7 Suppose 82 = -19*m + 21*m. Suppose -c + 73 = 4*k, 3*k + 2*c = -0*c + 61. Suppose -3*h + 142 = -5*w, -w + k = h - m. What is the tens digit of h? 5 Suppose 0 = m - 393 + 124. What is the tens digit of m? 6 Let q = -186 + 647. Suppose 3*g + 5*a = 329 + 334, 3*a = 2*g - q. What is the tens digit of g? 2 Let m(q) be the first derivative of -16*q**2 - 4. Let x be m(-1). Let l = x + -18. What is the tens digit of l? 1 Let p(s) = -s**3 + s**2 - 4*s - 7. Let j(c) = -2*c**3 + 3*c**2 - 7*c - 13. Let t(h) = -4*j(h) + 7*p(h). Suppose -o - 3 + 9 = 0. What is the units digit of t(o)? 9 Let b = 110 + 4. What is the tens digit of (b - -1*(-2 + 3))*1? 1 Let g(j) = -j - 18. Let d be g(-10). Let l(w) = -2*w**3 - 15*w**2 - 11*w - 20. What is the units digit of l(d)? 2 Let o(d) = 24*d + 246. What is the thousands digit of o(44)? 1 Let s(z) = -6*z + 1. Let c be s(2). Suppose -3*d = -212 + 107. Let v = d + c. What is the tens digit of v? 2 Suppose -5*f + 3*f = 0. Let w(j) = -2*j + 21. Let c be w(f). What is the units digit of c*(-1 - (-16)/12)? 7 What is the hundreds digit of ((-44)/10)/((-36)/18000)? 2 Suppose 0 = 67*z - 153*z + 1634. What is the units digit of z? 9 Suppose 148045 = -123*a + 152*a. What is the tens digit of a? 0 Suppose 4*m + s - 4 = 5*s, 0 = -3*m + 2*s - 2. Let f be 50 + m*(-4)/(-8). What is the tens digit of -3*1 + f/2? 2 Let z(v) = -v**2 - 6*v - 9. Let q be z(-4). What is the tens digit of q/6 - 1154/(-12)? 9 Let a = -361 - -536. What is the units digit of a? 5 Let n = 4303 - 1566. What is the hundreds digit of n? 7 Let o(r) = r**3 + 6*r**2 + 5*r + 7. Let w be o(-4). Let h be (-2)/(-10) - (-194)/5. Let q = w + h. What is the units digit of q? 8 Suppose -5*d + 7 = -23. Let g = d + 20. What is the tens digit of g? 2 Let u = 190 - 142. What is the tens digit of u? 4 Let g = -131 - -233. Suppose 5*x - 2*x = -g. Let n = x + 47. What is the units digit of n? 3 Let z(f) = -f + 5. Let y be z(5). Suppose -4*x - 8 + 84 = y. Suppose j - x - 7 = 0. What is the units digit of j? 6 Let m = 630 - 442. What is the hundreds digit of m? 1 Suppose 4*p + 0*p = -d + 725, -3*d + 5*p + 2141 = 0. What is the tens digit of d? 1 What is the tens digit of ((-51)/(-3))/((-141)/(-69) - 2)? 9 Let m be (5 - -1)*6/4. Suppose l = -2*l + 4*f + 8, l - m = -5*f. Suppose 0 = -l*j + 2*j + 32. What is the tens digit of j? 1 Let z(q) = 2*q**3 - 2*q**2 - 2*q + 2. Let n be z(2). Suppose k = n*k - 375. What is the tens digit of k? 7 Suppose 6*d + 95 = 11*d. Let a = 9 - d. What is the units digit of -6*a/(-6)*-2? 0 Let o = -14 - -34. Let n = 8 - 17. Let l = o + n. What is the units digit of l? 1 Suppose 16*p - 20*p = 4*l - 1916, -4*l = -3*p + 1465. Suppose 0*n - 2*d + p = 3*n, 0 = -5*n + 5*d + 780. What is the tens digit of n? 5 Suppose d + 646 = 4*s, d - 354 + 28 = -2*s. Let a = 179 + s. What is the tens digit of a? 4 Suppose 14*g - 26915 - 11613 = 0. What is the units digit of g? 2 Suppose 241167 = 50*s + 18267. What is the thousands digit of s? 4 Suppose 5*w - 529 = 4*p, 31 = w - 2*p - 70. Let o = 162 - w. What is the units digit of o? 3 Let q(a) = 12*a + 4. Let x(h) = 4*h**3 - h**2 + 2*h - 1. Let z be x(1). What is the units digit of q(z)? 2 Suppose -4*b = -2*r - 6, 8 = 2*r - 0*b + 3*b. Let v be 4/(-9 + r)*254. Let k = v + 178. What is the units digit of k? 1 Let k be -2 + (-16)/(-6) - 16/(-12). What is the hundreds digit of 1005/20*(6 - k)? 2 Let r be ((-9)/(-2))/(6/(-8)). Let g be r/8 + (-184)/(-32). Suppose g*p - 243 - 17 = 0. What is the tens digit of p? 5 Let j(m) = 5*m**2 - m + 2. Let k be j(1). Suppose 0 = -l + 1, -190 = -k*i + 3*i + 5*l. What is the units digit of i? 5 Suppose -12*k + 4*k + 136 = 0. What is the units digit of k? 7 Suppose 2*x - 822 = -4*l, -l - 2*l + 614 = 2*x. Suppose 4*k + 195 = y - 15, l = -4*k + 2*y. Let q = k - -84. What is the tens digit of q? 3 Let v be ((-4)/(-3))/(-4)*0. Let b = 4 - v. Suppose 4*r - b = 0, 6*o - 2*r = 3*o + 70. What is the tens digit of o? 2 Let x(t) = -t**2 - 5*t - 6. Let c be x(-4). Let l be c + 2/(8/(-268)). Let o = -40 - l. What is the units digit of o? 9 Suppose 2*j + 3*b + 7 = 0, 2*b = -j - 2*b - 16. Suppose -4*a = -16 - 4, j*z + 4 = 4*a. What is the units digit of z? 4 Suppose 5*u = -3*y - 15, 5*y = 5*u - 4*u + 3. Suppose 0 = -y*q - 4*q + 148. What is the units digit of q? 7 Let s(f) be the second derivative of f**5/20 + 4*f**4/3 + 3*f**3/2 + f**2/2 - 6*f. What is the units digit of s(-15)? 1 Let j(o) = 2*o - 2. Let h be j(1). Suppose h = 7*w - 4*w. Suppose 5*v - 19 - 66 = w. What is the tens digit of v? 1 Suppose -41*u + 319089 - 119501 = 0. What is the hundreds digit of u? 8 Let u(z) = -z**3 + 4*z**2 + 2*z - 3. Let l be u(4). Let q(b) = -b**3 + 9*b**2 - b - 6. What is the tens digit of q(l)? 8 Let y(j) = j**3 + j**2 - j - 7. Let x be y(0). Let k = 20 + x. Suppose 0 = 3*f - 47 - k. What is the tens digit of f? 2 Suppose -4*i - 3*f + 7 = 0, 2 = 3*i - 4*i + 3*f. What is the units digit of i/((-3)/(-72)) - 3? 1 Suppose 3*d = 3*k + 135, 5*d = -0*d + 2*k + 213. Suppose 4*p + o + 2*o = 109, 2*p - 3*o - d = 0. What is the units digit of p? 5 Let g be 75/(-2)*(-3 - -1). Suppose -85 = -3*p - u, -5*p + g = 3*u - 60. Suppose 0 = s - 3*s + p. What is the units digit of s? 5 Suppose -3*k + 7*j + 30 = 2*j, -2*k - 4*j = 2. Suppose i - 2*l + 116 = 4*i, -3*i = -k*l - 109. Let m = i - 22. What is the tens digit of m? 1 Let g = -5607 + 10275. What is the hundreds digit of g? 6 Let q(k) = 5*k**2 - 88*k + 1289. What is the hundreds digit of q(15)? 0 Let m(h) = 8 - 6 + 13 + 3*h + 0. What is the tens digit of m(19)? 7 Let l(x) = -5*x - 26. Let m(h) = h - 1. Let f(u) = -u + 2. Let s(w) = -2*f(w) - 3*m(w). Let a(d) = -l(d) + 6*s(d). What is the units digit of a(11)? 9 Suppose -8*y + 5216 = -2600. What is the hundreds digit of y? 9 Let y(z) = z**2 - z - 3. Let f be y(3). Suppose 3*w - f - 6 = 0. Let o(a) = 8*a - 4. What is the tens digit of o(w)? 2 Let v = 66 - 46. Suppose 3*y + s = -9 + v, -4*s = 16. What is the units digit of y? 5 Let w(r) = 7*r**2 + r - 2*r**3 - 4 - 4*r**2 + 2. Let p be w(-3). Let h = -14 + p. What is the tens digit of h? 6 Suppose 0 = -3*d + 16 - 1. Let b(s) = s**3 - 6*s**2 + s - 3. Let q be b(d). Let p = 32 + q. What is the units digit of p? 9 Suppose 0 = -3*z - z - 5*u + 1056, -3*z - 3*u + 792 = 0. Let i = 3 - z. What is the units digit of (i/(-27))/((-2)/(-6))? 9 Let c(n) = -8*n**2 + 3. Let w(o) = 7*o**2 - 3. Let d(j) = 4*c(j) + 5*w(j). What is the units digit of d(3)? 4 Suppose 0 = 13*g + 10*g - 7498. What is the tens digit of g? 2 Suppose -2*p - 3*p = -10. Suppose -o + 1 + 1 = c, p*c = 0. What is the tens digit of 6/3*(o + 9)? 2 Suppose 0 = w - 4*w + 2*w. Let i(y) = y**3 - 2*y**2 - 3*y + 96. What is the units digit of i(w)? 6 Let s be 9*1/15 + 47/5. Suppose s*m - 81 = 9*m. What is the tens digit of m? 8 Let z(a) = 124*a**3 - a**2 - a + 1. Let t be z(1). Suppose -3*s = -2*k + 5*k - 237, 2*s - t = 5*k. What is the units digit of s? 4 Let j(m) = -10*m - 3. Let a(w) = -w + 1. Let o(x) = -4*a(x) + j(x). What is the tens digit of o(-3)? 1 Let i = 9 + -5. Suppose 107 = -i*o - f - 29, 5*f = -o - 53. What is the units digit of o/22*76/(-3)? 8 Let n(h) = 2*h**3 + 5*h**2 - 12*h + 31. What is the tens digit of n(3)? 9 Suppose -5*i = 3*z - 54, -6*i + 2*i + 4*z + 56 = 0. What is the hundreds digit of 3/(-2*i/(-1120))? 1 Let w(k) be the second derivative of 7*k**4/12 - 2*k**3/3 + 25*k**2/2 - 20*k. What is the tens digit of w(4)? 2 Suppose -b = 3*p - 4*b, p + 12 = -3*b. Suppose -2*g + 2 - 20 = -4*h, -5*h = 3*g + 5. Let a = p - g. What is the units digit of a? 2 Let z be 132/(-3*1/2). Let c be z/(-9) + 18/81. Suppose -13*u = -c*u - 24. What is the units digit of u? 8 Suppose 11273 = 4*h - 3*y, -3*y + 1394 = h
{ "pile_set_name": "DM Mathematics" }
six decimal places? 0.000001 Let o = 456.141 + -458. Round o to one dp. -1.9 Let j = 53.08 - 29.27. Round j to zero decimal places. 24 Suppose 23 + 13 = 4*p. Let v(n) = -577*n + 13. Let h be v(p). Let a = h + 9380. What is a rounded to the nearest one thousand? 4000 Let a = -3199 + 3199.1997. Let m = 0.09 - 0.29. Let v = m + a. What is v rounded to 4 decimal places? -0.0003 Suppose -2*h = -z + 116800004, 5*h + 772049059 = 5*z + 188049049. Suppose -54*i + 52*i = -z. What is i rounded to the nearest one million? 58000000 Let l = 35.932 + 0.068. Let v = l + -19. Let j = v - 16.99929. Round j to four decimal places. 0.0007 Let u = 223.8792959 - 0.0122959. Let g = -223.998 - 0.002. Let z = g + u. Round z to two decimal places. -0.13 Let t = -0.007 - 0.02. Let j = 0.02700078 + t. Round j to 7 decimal places. 0.0000008 Let v(k) = -708333*k**2 + 4*k + 12. Let w(h) = -h**3 + 8*h**2 - 8*h + 1. Let q be w(7). Let f be v(q). What is f rounded to the nearest one million? -26000000 Let q = 4.05 - 4.04999782. Round q to seven decimal places. 0.0000022 Suppose -i + 20 - 16 = 0, 2*i + 2587492 = -5*h. Round h to the nearest 10000. -520000 Let s = 0.49 - 0.490142. What is s rounded to six decimal places? -0.000142 Let r = -16 + -11. Let l = -27.0021 - r. Round l to three dps. -0.002 Suppose g + 304331 + 246577 = 0. Let h(c) = -2450182*c + 2. Let w be h(5). Let f = w - g. Round f to the nearest 1000000. -12000000 Let j = -12181.9 + 11510. What is j rounded to the nearest 10? -670 Let h = 4611 - 10568. Let f = h - -1427. Round f to the nearest one thousand. -5000 Let c = -1.1 + -4.8. Let t = c + 5.937. Let o = -0.03700062 + t. What is o rounded to 7 dps? -0.0000006 Let f(j) = -6*j**3 + j**2 - 2*j + 1. Let h be f(1). Let q = 8 + h. Let t(x) = -2*x**3 + x**2 - 2*x. Let s be t(q). Round s to the nearest ten. -20 Let s be (12/(-30))/((-10)/37515000). What is s rounded to the nearest 100000? 1500000 Let w = 98.0064 - 98. Round w to two dps. 0.01 Let w be ((-37920)/(-45))/(2/(-69375)). What is w rounded to the nearest one million? -29000000 Let p = -30 + -66. Let l = 67.9 + p. Round l to the nearest integer. -28 Suppose -2*y - 32 = -52. Let z be (-2)/10 - 104717/y*-106. Round z to the nearest 100000. 1100000 Suppose -272350 = -8*a + 21*a. Round a to the nearest 1000. -21000 Let x = -200 - -229.7. What is x rounded to the nearest integer? 30 Suppose 24*f + 3*l = 29*f + 886994, -5*l = 2*f + 354810. What is f rounded to the nearest ten thousand? -180000 Let s = 0 + -22. Let d = s + 22.000039. What is d rounded to 5 dps? 0.00004 Let n = -7.03 - 104.57. What is n rounded to the nearest integer? -112 Let w = 1.55 + -1.550156. Round w to five dps. -0.00016 Let q = 292 - 274.9. Let t = -17.09793 + q. What is t rounded to four dps? 0.0021 Let r = 55494 - 462494. Round r to the nearest one hundred thousand. -400000 Let d = 13.9885 - 14. Let p = -0.0754 - d. What is p rounded to 2 dps? -0.06 Suppose -3*s + 11218 = -3*x - 5687, 2*x - s = -11265. What is x rounded to the nearest 1000? -6000 Suppose -4*q + 4 = -3*q. Let l(w) = 1 + 3*w**3 - 3*w**3 + 6*w**2 - 7*w + 3 - 2*w**3. Let j be l(q). Round j to the nearest 10. -60 Let s = -106204 - -106245.9945. Let z = 42 - s. What is z rounded to three decimal places? 0.006 Let a = 746822 + -179822. Round a to the nearest one hundred thousand. 600000 Let u be ((-12)/20)/(4/(-20)). Suppose 2*n - m + 10999995 = 0, -3*n - 27499985 = 2*n - u*m. Round n to the nearest one million. -6000000 Let t = -3067708.84999965 + 3067709. Let p = -1.1 + 1.25. Let j = p - t. What is j rounded to 7 decimal places? -0.0000004 Let k be 1/(-3) + 14/6. Suppose 0 = k*l + 10 - 16. Suppose l*s - 3*u + 1326 = -0*u, 0 = -4*u + 8. Round s to the nearest one hundred. -400 Let a(j) = -452222*j**2 + 27*j - 83. Let q be a(3). What is q rounded to the nearest one hundred thousand? -4100000 Suppose 0 = 5*x - 19 + 4. Let m be (-4044008)/12 + (1 - 1/x). What is m rounded to the nearest ten thousand? -340000 Let p = -251 - -251.13. Let m = -659214 + 659214.1299796. Let b = m - p. Round b to 6 dps. -0.00002 Let w = -3.1451853 + 3.145. Round w to 5 decimal places. -0.00019 Let b = 2.0492 + -2.04. Round b to 2 decimal places. 0.01 Let l = 0.23 - -2.17. Let t = l + -10.4. Let r = -8.08 - t. What is r rounded to 2 dps? -0.08 Let x = 1864 - 1848.97. Round x to 0 dps. 15 Let w(c) = 45*c + 51. Let v be w(-9). Let z = -2834 - v. What is z rounded to the nearest one hundred? -2500 Let m = -699 - -698.999298. Round m to 5 decimal places. -0.0007 Let v = -1492 + 1482.87. What is v rounded to the nearest integer? -9 Suppose 5*a = 5*r - r + 8, 3*a - 15 = -r. Let x be (-58)/a*(42 - (2 + -2)). What is x rounded to the nearest ten? -610 Suppose -u + 1 = -2*l, 0 = 4*u - 5*l + 1 - 5. Suppose -c - 1 + 0 = 2*t, -u = -t + c. Let q = -6 - t. Round q to 0 decimal places. -6 Let n = 54 + 308. Let f = n + 280. Suppose u - f = -5*u. Round u to the nearest 10. 110 Let h = -11.29 - -11.290000869. Round h to seven decimal places. 0.0000009 Let u = -4 - -13. Let t = -2.335 - 6.817. Let b = u + t. Round b to two decimal places. -0.15 Suppose -b = 4*j + 445042, b = 4*j + 3*b + 445044. Round j to the nearest 1000. -111000 Suppose 50925 = -10*s + 470925. What is s rounded to the nearest 10000? 40000 Let a = -0.463944 + -0.735732. Let i = -1.2 - a. Round i to 5 decimal places. -0.00032 Suppose -24 = 3*r - 6*r. Let v(w) = 25000*w + 2500. Let g(q) = -1. Let i(a) = -5000*g(a) - 2*v(a). Let b be i(r). What is b rounded to the nearest 100000? -400000 Let m = 510.9997725 + -511. What is m rounded to 4 decimal places? -0.0002 Let x = 1.93 + 0.07. Let j = x + -2.04. Let o = j - 0.14. What is o rounded to 2 decimal places? -0.18 Let b be (-7)/(-7)*(1 - -4). Suppose b*k - 22 - 78 = 0. Let d = 59 - k. Round d to the nearest 10. 40 Let b be -4 + (-1)/(-1)*5. Let q be (b - 0)*1*3. Suppose -l = 2*l - q. What is l rounded to the nearest 10? 0 Let r = -13.5182 + -0.0018. What is r rounded to 1 dp? -13.5 Let p = 192 - 288. Let v = -96.002 - p. What is v rounded to 2 dps? 0 Let z = 1406 + -1405.98818. Round z to 4 dps. 0.0118 Let q = 14588848528 + -14588848701.99999966. Let z = q - -174. What is z rounded to seven decimal places? 0.0000003 Suppose 0 = -13*j + 14*j - 8. Let w(k) = -62*k - 4. Let q be w(j). Round q to the nearest 100. -500 Let w = -5277 + -1589. Round w to the nearest 100. -6900 Let f be 1531303/(-3) - 4/6. Let r(t) = 247389*t**2 + 16*t - 23. Let n be r(2). Let p = f - n. What is p rounded to the nearest one million? -2000000 Let f(h) = h**3 + 29*h**2 + 74*h + 10. Let g be f(-30). Round g to the nearest 1000. -3000 Let t = 503 + -502.999997884. What is t rounded to 7 decimal places? 0.0000021 Let a(o) = -o**3 + o + 2. Let u be a(0). Suppose -u*k = 5*i - 673 - 134, 3*k - 5*i = 1148. Let b = k + -81. What is b rounded to the nearest 100? 300 Suppose -4*a - 213795 = 4*n + 820625, -a - 258620 = 4*n. Round a to the nearest one hundred thousand. -300000 Let v = 32.1 - 0.1. Let y = 32.0155 - v. What is y rounded to 3 dps? 0.016 Let o = -2.5 - -34.5. Let x = -11 + o. Let z = -21.00021 + x. Round z to 5 dps. -0.00021 Let q be (11 - (11 + 5)) + 1151*55. Round q to the nearest 10000. 60000 Let i be 2/((-8)/12) + (-2)/(-2). Let v be (4712/6 + i)/((-5)/(-3000)). Round v to the nearest one hundred thousand. 500000 Suppose 3*i + f - 5 = 0, -f = -2 - 0. Let a be 146728*1 + i - -4. Let s = -1146733 + a. What is s rounded to the nearest 1000000? -1000000 Let u(s) = 2882801*s**2 + 7*s + 10. Let o be u(-5). Round o to the nearest one million. 72000000 Let v(m) = -2037*m**2 + 10*m + 3. Let z be v(-3). What is z rounded to the nearest one thousand? -18000 Let h = -229522 + 157524. Let w be (-6)/24 - h/(-8). What is w rounded to the nearest 10000? -10000 Let c = 1.46599 + -1.46. Round c to three dps. 0.006 Let r = -211 - -210.99424. Round r to 3 dps. -0.006 Let x = 2.79 - 0.49. Let h = -28.7 - -29. Let j = h + x. What is j rounded to 0 dps? 3 Let v = -3082449227088914 + 3082449258379654.44999906. Let l = 31290741 - v. Let f = l + -0.55. What is f rounded to 7 dps? 0.0000009 Let b = 1.88 + -1.879598. Round b to four dps. 0.0004 Let c = -25.754 + 25.7. What is c rounded to two dps? -0.05 Let q be 10/6*(7 - 4). Suppose -q*a + a + 1049520 =
{ "pile_set_name": "DM Mathematics" }
rt(117)*5 - sqrt(117)))/sqrt(9) - (-1 + sqrt(637) + 2)) + 2. -17*sqrt(13) + 1 Simplify 2 + 4*((sqrt(700) + sqrt(700) + sqrt(700)*-3 + sqrt(700) + 5)**2*-5 - 3*((-2 + sqrt(700) - sqrt(700))**2 + 2)). -570 Simplify 5 + (0 + -4*((sqrt(200) - (-1 + sqrt(200))*-6) + 1) + -1 + -3)**2 + 0. -8960*sqrt(2) + 157061 Simplify (3 + 5 + (-1 + sqrt(147))*2 + -5 + (-1*(sqrt(147) + 1 - sqrt(147)) + sqrt(147) - 6*-1*sqrt(147)))*4. 252*sqrt(3) Simplify (-5*(-2 + -2*sqrt(153)*4 + -2*-2*sqrt(153) + -3 + sqrt(153) + (5*sqrt(153)*-3 - sqrt(153))) + 3)**2. 15960*sqrt(17) + 1381609 Simplify ((4*sqrt(150)/(sqrt(3)*5))/((sqrt(660)/sqrt(11))/sqrt(6)*-6))**2. 4/45 Simplify (sqrt(882) + (sqrt(882) - -1*sqrt(882)*-6) + -2*2*sqrt(882))/((sqrt(90) + -4*(sqrt(90) - sqrt(90)*2) - sqrt(90))/(sqrt(10) - sqrt(200)/sqrt(5))). 14*sqrt(2) Simplify (-6*4*sqrt(153) - 1*(sqrt(153) - 2*sqrt(153)))/((sqrt(9) + (2*sqrt(1089) - sqrt(1089)) - (-2*sqrt(1296) - sqrt(1296)))*1). -23*sqrt(17)/48 Simplify (5*(sqrt(315) - 4*(sqrt(315) - sqrt(315)*-2)))/((sqrt(1400) - (sqrt(1400) + sqrt(1400)*-1))/(2*sqrt(8)*-3)). 198*sqrt(5) Simplify (((sqrt(75)*-3 + sqrt(75))/sqrt(5) - (2*sqrt(135))/sqrt(9))/(-2*(sqrt(243) + 6*2*sqrt(243))))**2 + -3. -41047/13689 Simplify 3 + (sqrt(14) + 4*sqrt(14)*2)/(sqrt(2)*1*6 - sqrt(2)) + (-1 + sqrt(63) - (sqrt(7) + sqrt(700)*3)). -131*sqrt(7)/5 + 2 Simplify 0 + ((sqrt(52) + sqrt(1300))*-3*-6)**2 + sqrt(78)/(-2*(sqrt(6) - (sqrt(6) + sqrt(96)))) + 4. sqrt(13)/8 + 606532 Simplify (3 + -3*(-4*(sqrt(405) + 0) + -5*(sqrt(405) - 1*sqrt(405))))*5. 15 + 540*sqrt(5) Simplify -3*(((sqrt(45)*1*1)/(sqrt(9) + (sqrt(90)*2 - sqrt(90))/sqrt(10)) - (3*(sqrt(15) + sqrt(240)))/(1*sqrt(3)*-1))*1)**2. -14415/4 Simplify ((sqrt(640)*-1 - sqrt(640)) + sqrt(4000)*5)/(sqrt(88)/((sqrt(77)*4)/sqrt(7))*1). 168*sqrt(5) Simplify -3*(sqrt(1900)*-1)**2 - -1*-3*sqrt(1900) - ((sqrt(171)*-1*2)/(sqrt(1296) - (sqrt(1296) + sqrt(1296)*2) - sqrt(1296)))**2. -1846819/324 - 30*sqrt(19) Simplify (3*-4*sqrt(2160) + sqrt(2160) - sqrt(2160))/(sqrt(18)/(4*sqrt(54)/sqrt(9) + sqrt(6))). -720*sqrt(5) Simplify (-3*sqrt(504))/(sqrt(1152)*-3) - (6*(sqrt(567) + (sqrt(567) + sqrt(567)*2)*6 + sqrt(567)) + -1)**2. -8164801 + 8641*sqrt(7)/4 Simplify -5*-5*((4*(sqrt(200) + sqrt(200) + 0) - (sqrt(200) - (sqrt(200) - (3 + sqrt(200)))*-3))**2 + 3) + 3. 31500*sqrt(2) + 247103 Simplify ((5*-2*sqrt(220))/(-6*(sqrt(11) - (sqrt(11) + sqrt(11) + sqrt(44)/sqrt(4)))))/(sqrt(1440) + 2*sqrt(1440) + 3*sqrt(50)/sqrt(5)). -5*sqrt(2)/234 Simplify 3*-6*(5 + (((sqrt(576) - sqrt(576)*2) + sqrt(16) + -2*sqrt(256))/(sqrt(800)*2*-1))**2). -10521/100 Simplify (1*sqrt(76)*-5 + -2*sqrt(76)*2)/(sqrt(144)*-2 - sqrt(100)*1). 9*sqrt(19)/17 Simplify -2*(4 + ((5 + 4*(3 + sqrt(252)))**2 - (sqrt(252) + 2 + 5 - (3 + 0 + sqrt(252))))). -8642 - 1632*sqrt(7) Simplify -1 + (-5*6*(-3 + (sqrt(2)*-2*-5 - sqrt(2) - (sqrt(2) + -1 + -5))*-3))**2. 907200*sqrt(2) + 1433699 Simplify ((2*sqrt(66) + sqrt(66))*-6 + sqrt(66) - -6*2*sqrt(66))/(-4*3*sqrt(864))*4. 5*sqrt(11)/36 Simplify (2*sqrt(152)*4 - ((sqrt(152) + -1*sqrt(152) + sqrt(152))*-1 + sqrt(152)))/((sqrt(1936)*2 + sqrt(1936))/(sqrt(2) - 1*sqrt(242))). -80*sqrt(19)/33 Simplify ((4*(-4*sqrt(468) - sqrt(13)) - ((sqrt(1053) - sqrt(1053)*3) + (sqrt(13) + sqrt(13)*-2)*3))*-1)**2. 81133 Simplify (5 + (sqrt(1573) - (sqrt(1573)*-1 - sqrt(1573))) - (sqrt(1573) + 3 + -5) - (-5 + sqrt(1573) + 2*-2*sqrt(1573) + 3))**2. 990*sqrt(13) + 39406 Simplify 2 + (sqrt(684) - (sqrt(684) + -2)*6 - ((sqrt(684)*-2 - sqrt(684)) + 4))**2 - ((sqrt(684)*3 + 4 - sqrt(684))**2 - (0 + (sqrt(684) + 1)**2)). -276*sqrt(19) + 735 Simplify (-1*sqrt(640))/((2*sqrt(80))/sqrt(10)) - (1 + (-2*sqrt(50))/sqrt(10) + sqrt(5)*1*-3)**2. -126 + 8*sqrt(5) Simplify (2 + ((sqrt(72)*2 - sqrt(72)) + 1 - (sqrt(72) + -1 + -3)) - (sqrt(72) + 1 + (sqrt(72) - (0 + sqrt(72))) - (2 + sqrt(72)*-1)))**2. -192*sqrt(2) + 352 Simplify ((-3*(sqrt(27) + sqrt(54)/sqrt(2)) - sqrt(270)/(sqrt(10) + sqrt(90)))*-5)/(sqrt(99)/(sqrt(33)/(sqrt(30)/sqrt(10) + sqrt(3)) - sqrt(11))*-1). 125*sqrt(3)/8 Simplify 5 + (3 + 2*(sqrt(405) - sqrt(405)*2)**2 - 5*(-1 + sqrt(405))*-5)*-2. -1571 - 450*sqrt(5) Simplify -2*((((sqrt(198) - (sqrt(198) - sqrt(198)*-4))*-1 - sqrt(198)) + sqrt(198))/sqrt(6))/((-2*sqrt(2112))/sqrt(11)). sqrt(11)/2 Simplify ((sqrt(20) - (5*sqrt(180) + sqrt(180))) + -4*sqrt(40)/sqrt(2))/(sqrt(100)/(sqrt(120)/sqrt(3))*2). -21*sqrt(2) Simplify (sqrt(24) - (sqrt(24) - (sqrt(288)*-1)/sqrt(12)))/(sqrt(192)*-5) - ((sqrt(5000) + 1 - sqrt(5000))**2 + 1 + sqrt(200)/sqrt(4)). -99*sqrt(2)/20 - 2 Simplify ((sqrt(20)/sqrt(4)*-6 + sqrt(320) + 1)*-6)**2*-1 + (-5*sqrt(405)*-2 - (1 + sqrt(500)*2)). -757 - 74*sqrt(5) Simplify 4*(-3 + 3 + sqrt(171) + -1 + (sqrt(171) + 0)*-5 + 4 + sqrt(171) + 2 + 0)**2. -360*sqrt(19) + 6256 Simplify -4 + -4*(sqrt(50) - (sqrt(450) + -3*sqrt(450)))/(sqrt(110)/(sqrt(66)/sqrt(6)))*-4*-1. -112*sqrt(5) - 4 Simplify (4*(sqrt(68) + (sqrt(68) - -3*sqrt(68) - sqrt(68))) - 5*1*sqrt(68))/((1*(sqrt(704) + sqrt(44)))/(sqrt(33)/sqrt(3)*5 - sqrt(11) - sqrt(11))). 33*sqrt(17)/5 Simplify (sqrt(40)*5)/(-2*sqrt(320)) - 6*(-3 + sqrt(128) + (sqrt(128) + -1)**2 - sqrt(128))*1. -756 + 763*sqrt(2)/8 Simplify -5 + 1 + 0 + sqrt(891) + 5 + (sqrt(99)*3 - sqrt(99)) + -2. -1 + 15*sqrt(11) Simplify ((-3 + -3*3*5*(sqrt(475) + -3))**2 + -5)*5. -297000*sqrt(19) + 4896470 Simplify -3*(sqrt(1300) + (-3*sqrt(1300) + 1)**2 + -1)*1*-2. -300*sqrt(13) + 70200 Simplify ((sqrt(250)*1 - sqrt(10) - (sqrt(90) + sqrt(90)*-2)/sqrt(9))/(sqrt(720)*-2*4))**2*-1*2. -25/2304 Simplify (((-6*(sqrt(288) - sqrt(288)*-1) - sqrt(288)) + -2 + sqrt(288) + 0)**2 - ((5*2*sqrt(288))**2 + ((sqrt(288) + 0)*-5)**2))*2. 1152*sqrt(2) + 10952 Simplify 5 + 4*((-2*(-2*sqrt(528) - sqrt(528))/sqrt(12))/((sqrt(32)*-1)/sqrt(8) + (sqrt(48)/sqrt(3) - sqrt(16))/sqrt(4)))**2*-6. -9499 Simplify (3*(sqrt(1936) - sqrt(1936)*3 - sqrt(1936))*6)/((-5*1*sqrt(8) - sqrt(8)) + (sqrt(72)*4 + sqrt(72))/sqrt(9))*4. 2376*sqrt(2) Simplify ((5*(-1 + 0 + sqrt(2))*4 + -5 + (sqrt(2) - (sqrt(2) + (sqrt(2) - (1 + sqrt(2))) + sqrt(2) + 4)) + 3)*-6)**2. -34200*sqrt(2) + 48492 Simplify (3 + (5*(1*(sqrt(605) + 3) + 3*(sqrt(605) + 0)))**2)*4. 26400*sqrt(5) + 968912 Simplify ((sqrt(308) + -3*sqrt(308))/sqrt(11))/(-3*sqrt(256)) - (sqrt(448) + 0 + (sqrt(448) - 3*sqrt(448)) - (sqrt(448) + -2 + sqrt(448) + -4))**2. -4068 + 3457*sqrt(7)/12 Simplify (3 + -6*6*((0 + sqrt(1900) + 3 - (sqrt(1900) + 3*sqrt(1900)*1)) + -4))**2. 84240*sqrt(19) + 22163121 Simplify 3*(-1*(sqrt(5040) + -2*sqrt(5040)))/(sqrt(10)/((sqrt(2) + sqrt(6)/sqrt(3))*-3)). -216*sqrt(7) Simplify 3*(2 + (-5*4*(0 + (sqrt(171) - (sqrt(171) + 1)*-1) + -2))**2). -14400*sqrt(19) + 822006 Simplify (1 + -2 + sqrt(343)*-1*5 + (sqrt(343)*-1 + -1 + sqrt(343) - sqrt(343)) + ((sqrt(343) + sqrt(343)*-1)*-2 - sqrt(343)) + 3)**2. -98*sqrt(7) + 16808 Simplify (sqrt(104)/(sqrt(8)*1) + sqrt(39)/sqrt(3)*-2)*-5 - (-3 + (3*(sqrt(637) + 1) - (sqrt(637) - (-5 + -1 + sqrt(637))))**2). -5739 + 131*sqrt(13) Simplify 1*(sqrt(33) - sqrt(1188)*-6 - (sqrt(132) - (sqrt(132) - sqrt(132)*2 - sqrt(132))))/(-1*2*sqrt(3) + sqrt(24)/sqrt(72) + sqrt(3)). -93*sqrt(11)/2 Simplify (((sqrt(567) - sqrt(567)*-2) + 1 + -3 + 4)**2 - ((sqrt(567) - (sqrt(567) + -2)*4)**2 + ((sqrt(567)*-4*5)**2 - sqrt(567)))) + 0. -226860 + 549*sqrt(7) Simplify (1 + (sqrt(78) + (-1*sqrt(78) + sqrt(78))*-2)/(sqrt(54)/(sqrt(63)/sqrt(7))))*-2. -2*sqrt(13) - 2 Simplify -6*(((sqrt(80) - (3*sqrt(80) + sqrt(80) - sqrt(80)))/sqrt(4) + (-2*sqrt(980) - sqrt(20)))/((1*sqrt(2880))/(sqrt(2)*-1*-2)))**2. -289/3 Simplify (-5 + 4*sqrt(1872)*-5 + sqrt(1872) + -3 + 5 + 1 + -1)**2. 1368*sqrt(13) + 675801 Simplify -1 + 1*(3 + (-2*sqrt(320) + -5)**2 - (1*sqrt(320)*-2 - (sqrt(320)*1*-6)**2)). 176*sqrt(5) + 12827 Simplify (5 + 4*(-3 + sqrt(98) + 0))**2 - ((sqrt(160)*1)/sqrt(5) + (((sqrt(2) - sqrt(18)) + sqrt(2))*1)**2 + -3). -396*sqrt(2) + 1618 Simplify (-2*sqrt(95)*6)/(3*sqrt(245)) - (sqrt(684) - (-2 + (-1 + sqrt(684) - sqrt(684))) - ((3*(1 + sqrt(684)) - sqrt(684)) + sqrt(684)))**2. -2736 - 4*sqrt(19)/7 Simplify (((sqrt(637) - (sqrt(637) + sqrt(637)*-2*6)) + sqrt(637) + 4 - (sqrt(637) + 3*(sqrt(637)*1 + sqrt(637)))*-2) + -3)**2*6. 2268*sqrt(13) + 2786244 Simplify (4*(-5*(0 + sqrt(2299))*3 + -4)*-2*4 + 4)**2. 1
{ "pile_set_name": "DM Mathematics" }
ppose -2*q + 24 = -2*v, -8 = -2*v - 2*v. Let g be 66/q + (-32)/(-112). Solve 11 = g*r + 1 for r. 2 Let k = -17 - 46. Let g be -1 + k/(-14) + 1/(-2). Solve g = 2*p + 9 for p. -3 Let m(v) = -v**2 - 17*v - 42. Let x be -3 + 44/12 - (-88)/(-6). Let n be m(x). Solve n*r + 3*r = 15 for r. 5 Let y be 3/4 + 117/52. Suppose 2*p - 5*l = 23, p - y*l = 20 - 7. Solve -5*n + p + 6 = 0 for n. 2 Let r = 15 - 13. Suppose -4*c = 4*g - 48, r*c - 7*g + 3*g - 12 = 0. Solve 7*n + c = 2*n for n. -2 Let j be (-6)/12 + 2/4. Solve 25*f - 19*f + 18 = j for f. -3 Let k be (-3)/(-2) + (-119)/(-14). Let l = -8 + k. Let v be (28/l)/2 - 2. Solve 10 = 3*n - v for n. 5 Let f(l) = -3*l - 3. Let c be f(-1). Suppose c = 3*i - 19 + 4. Solve -i*w = -w for w. 0 Let a(j) = -4*j + 2 - 2*j - 16 + 4*j. Let w be a(-8). Solve o = w + 1 for o. 3 Let c = 1 - -4. Suppose c*b + 11 = -3*z - 1, -3*b + 16 = -4*z. Suppose 3*n - 4*l - 35 = 0, -n = -b*n - 3*l - 20. Solve -n*v = -12 - 3 for v. 3 Let j be (5 - (-15)/(-2))*(-32)/20. Solve j*p - 7 - 9 = 0 for p. 4 Suppose -18*k + 263 = b - 14*k, 5*b + 3*k - 1400 = 0. Solve 0 = 3*n + b - 298 for n. 5 Let h(d) = 2*d - 23. Suppose 5 = -3*u + 26. Let i(g) = 3*g - 24. Let n(q) = u*h(q) - 6*i(q). Let p be n(-5). Solve 12 = p*l - 0*l for l. 4 Suppose -7*p = -12 - 9. Solve p*n = -2*n for n. 0 Let n be 3 + -2 + (-70)/(-14) + -1. Solve 85 = -n*w + 95 for w. 2 Suppose 0 = -y + 94 - 90. Solve -y*v = 18 - 14 for v. -1 Let f(j) = 20*j + 52. Let b be f(-2). Solve 0 = -b*d + 8*d for d. 0 Suppose 16*c - 2 = 14. Solve -j + 4 = c for j. 3 Suppose 2*k - 10 + 6 = 0. Solve k = -9*d + 47 for d. 5 Suppose 0 = -5*h + 32 + 58. Solve -3 = -3*i - h for i. -5 Suppose -2*j - 4*k = 2*j + 68, 5*k + 72 = -4*j. Let f(d) = -3*d - 36. Let l be f(j). Solve 4 = 5*a - l*a for a. 2 Suppose b + 3 = 3*s - 3, -b - 3*s + 24 = 0. Suppose 0 = -3*w + b, 0 = -2*k - 4*w + 5*w + 5. Suppose 4 = 3*p - 8. Solve -k*n = -p - 12 for n. 4 Let i = 348 + -345. Solve -3*o = 12 - i for o. -3 Let q be ((-5)/(-4))/(4/16). Suppose j - 18 = -q*p, 0 = p - 4*j + 2 - 14. Solve c = -p*c + 5 for c. 1 Let n be (-13)/4 - (-9)/(-12). Let t(l) = -l**3 - 4*l**2 - l - 1. Let q be t(n). Suppose 5*d - 15 = a, -2*a + 2*d = -a + q. Solve s = a*s for s. 0 Let i = -765 + 789. Solve -12 = -3*o - i for o. -4 Suppose 37 = 9*r - 4*r - a, 4*r = -3*a + 41. Solve -4*o = r - 8 for o. 0 Suppose 3*j - 3*f = 0, 3*f + 7 = -5*j + 31. Suppose b - 2*w = -5*w - 8, -j*b - 3*w - 6 = 0. Suppose 0*l + 4 = 4*l. Solve b = -s - l for s. -2 Suppose 5*u = 3*r + 9, 0*u - 4*u = -2*r - 8. Let f(p) = p**3 - 3 + 5 - p**2 + 47*p - 49*p. Let s be f(r). Solve 0 + 6 = -s*b for b. -3 Let g be (-1)/(2/(-8)) - -1. Suppose -z - z + 4 = 0, -i + g*z = 7. Solve -i*u = -0*u - 15 for u. 5 Suppose 0 = -4*x + 3*g + 12 + 7, 3*x - 17 = 5*g. Suppose -x*d + 190 = 42. Suppose 0 = -t - 3*v + d, 5*t + 3*v - 141 = -v. Solve -2*a = -7*a - t for a. -5 Suppose 9*n = 16*n. Solve n = -0*u - 4*u + 20 for u. 5 Let x(g) = -g**2 - 9*g - 3. Let v be x(-3). Solve 0 = 9*y - 4*y + v for y. -3 Suppose 3*o + 1 = 7. Suppose -5*j = -o*j - 18. Solve j*d = 4*d for d. 0 Let z = 0 - 0. Let g(f) = -f**2 + 16*f + 21. Let w be g(17). Suppose 10*d - 16 = w. Solve d*r + 2*r = z for r. 0 Suppose 4*r + 55 = 3*s, -5*s + 5*r + 7 + 93 = 0. Let u be (-8)/3*402/(-536). Let y(z) = -z**3 - 6*z**2 - 7*z - 7. Let g be y(-5). Solve -s = -u*o - g*o for o. 5 Let h(b) = b**3 - 4*b**2 - 6*b + 5. Suppose 3*t - 2 = 13. Let w be h(t). Solve 3*z + w*z = -15 for z. -5 Suppose -5*h + 49 + 22 = m, -3*h = -m - 49. Solve -5 = 5*o + h for o. -4 Let r(z) = 4*z**3 - 5*z**2 - z + 11. Let w(x) = x**3 - 2*x**2 - x + 1. Let l(v) = -r(v) + 3*w(v). Let p be l(-3). Solve -4*g + 4 = -p for g. 5 Let r = 90 + -53. Let m = -35 + r. Solve -4*l + 2 + m = 0 for l. 1 Suppose 5*i + 4*s = -s + 15, 3*s = 0. Solve -12 + 6 = -i*k for k. 2 Let i(o) = o**3 - 16*o**2 + 15*o + 8. Let j be i(15). Let r = 11 - j. Let d(l) = -l**2 + 3*l + 4. Let g be d(r). Solve -g*v - v = 25 for v. -5 Let y = -228 + 233. Let k(t) = -t - 4. Let a be k(-9). Suppose a*f = w + 12, w = -4*w - 10. Solve -f*u + 9 = -y*u for u. -3 Let z(u) = u**3 + 18*u**2 + 29*u - 12. Let h be z(-16). Suppose -2*k = 10*k - h. Solve 13 - k = -2*w for w. -5 Let c(d) = -2*d**2 + 29*d - 35. Let y be c(12). Solve y*h = 23*h for h. 0 Let y(x) = -x**2 + x + 2. Suppose -3*m + 5*m = -0*m. Let c be y(m). Solve -c*f - 2 = 8 for f. -5 Let i = 2053 + -2044. Solve -14 = -r - i for r. 5 Suppose -s - 23 = -3*h, 4*h - 6*h = 2*s - 18. Solve -p + 3*p = -h for p. -4 Let u = -147 + 159. Solve -2*n = 2*n - u for n. 3 Let n(y) be the first derivative of 5/3*y**3 - 2 - y - 1/4*y**4 - 3/2*y**2. Let k be n(4). Solve s = -2*s - k for s. -1 Let v(i) be the third derivative of i**6/120 - i**5/10 + i**4/6 + 4*i**3/3 - 4*i**2. Let z be v(5). Solve -z*y - 2 = -14 for y. 4 Let p(g) = -g**3 + 39*g**2 - 108*g + 7. Let u be p(36). Solve x - 3 = -u for x. -4 Let o be ((-12)/21)/((-8)/84). Suppose 3*c - o*c = 0. Suppose c = w + 4*y - 41, -7*w + 5*y = -3*w - 80. Solve q + 4*q = -w for q. -5 Let f = 0 + 0. Suppose -6*u = -u - 4*u. Solve u = -f*y + 4*y + 20 for y. -5 Suppose l - 3*f = -3*l + 7, -3*f - 15 = 0. Let s be l*1/(-2) + 24. Suppose 3 = 28*g - s*g. Solve 0*k - k = -g for k. 1 Suppose -l = -0*w - 3*w - 36, 2*w = l - 32. Suppose 0 = 14*i + 203 - 217. Solve -l - i = 5*b for b. -5 Let t(a) = -4*a - 4. Let j(u) = 5*u + 3. Let h(g) = 5*j(g) + 6*t(g). Let s be h(12). Suppose -s*d + 4 = -4*r, 3 = 4*d - 2*r - r. Solve d = w + 4 - 2 for w. -2 Let p(l) = -l**3 - 17*l**2 - 60*l + 12. Let r be p(-14). Solve -3*s - r = -270 for s. 2 Let p be (-1 + (2 - 1))/(-4). Solve s - 18 + 20 = p for s. -2 Suppose 4*r = 12*r + 112. Let m = 24 + r. Solve -3*n + m = 2*n for n. 2 Let l(z) = -z**3 - 5*z**2 + 3*z - 19. Let s be l(-6). Let k(g) = 7*g**2 + g + 1. Let y be k(s). Solve -y = 5*i - 17 for i. 2 Let g be (3/(-9))/((-4)/612). Let z = 63 - g. Solve -3*y - y = -z for y. 3 Suppose 8 = 2*d + 2. Let x be 1*d*(0 + 2). Let t be (-2)/(-3) + 44/x. Solve -5*v + t*v = -6 for v. -2 Let l be -1*4/6*18/(-6). Suppose -2*d + 11 = 2*w - 5*d, -3*w = 4*d + 26. Let j(b) = b**2 - 2. Let o be j(w). Solve -l*t + o = 6 for t. -2 Suppose -6 = 4*i - 6. Suppose -4*j + i + 12 = -4*l, -5*l + 5 = -j. Solve -l*u + 4 = -6*u for u. -1 Suppose -48 = -3*b + 4*r, 3*r - 14 = 3*b - 59. Solve -17*p + 13*p - b = 0 for p. -3 Let s be 4*(-1)/2*-1. Let b be (8 - -1) + (-15)/(-15). Let x be 5 - 2 - 0*6/(-24). Solve x*o = -s*o - b for o. -2 Suppose -5*m + 3*p = -30, -5*p = 5*m + 4 + 6. Suppose -3*k = -5*k + 42. Let l(b) = b**2 - 23*b + 49. Let r be l(k). Solve 4*c = -m + r for c. 1 Let n(u) be the first derivative of u**4/2 - 8*u**3 + u**2/2 - 9*u - 44. Let t be n(12). Solve t*v - 8 = -v for v. 2 Suppose 9*a = -a + 30. Solve 0 = 2*d - a*d for d. 0 Let c(d) be the second derivative of d**5/20 - 5*d**4/12 - 3*d**3/2 - 7*d**2 - 11*d. Let b be c(7). Solve 0 = -5*q - 4 - b for q. -5 Suppose -17*j = -72 + 21. Solve 2*a + 11 - j = 0 for a. -4 Let n(p) = -6*p**3 - p. Let b be n(-1). Let k = -7 + b. Suppose k = -4*l - 0 + 32. Solve -5*o - l = 7 for o. -3 Let v = 41 - 29. Let j be 4/v*0 + 3. Solve y + j - 1 = 0 for y. -2 Let n be (-352)/(-88) - 1/((-3)/18). Solve 68*x - 70*x = n for x. -5 Suppose -8*p + 3*p = -15. Let x be (0 - 3/p)*-2. Let r(a) = a + 16. Let m be r(-6). Solve 3*q - m = x for q. 4 Let q(g) = -g**2 - g + 10. Let f be q(0). Suppose 2*z = -3*z - 5. Let u = 5 + z. Solve -v = u*v + f for v. -2 Let p(i) = i**2 + 11*i - 4. Let o be p(-10). Let g = o - -14. Solve 0 = -2*k - g + 4 for k. 2 Let z be (9/(-2))/((-90)/40). Solve -z*a - 36 = -28 for a. -4 Let s be (148/16)/((-1)/(-4)). Suppose s = 4*k - 5*l, 10*k - 5*k - 3*l = 30. Suppose -2*n - 2 = 0, 0 = -k*a - n + 5 - 6. Solve a = p + p - 2 for p. 1 Suppose 0 = 4*a + 3*q + 15, 3*a - 19*q - 5 = -18*q. Solve a = -59*y + 61*y - 8 for y. 4 Let l = -6 - 0. Let n = 24 - l. Let o = n + -26. Solve o*p = 1 - 21 for p. -5 Let s(l) = -l**2 - 9*l - 3. Let n be s(-8). Suppose n*v - 18 - 2 = 0. Let q be 4 + -1 + v + -7. Solve q*g + g = 0 for g. 0 Let w = 87 + -89. Let c be (56/24)/7 - w/(-6). Solve -2*q + 5 + 3 = c for q. 4 Suppose -5*u = -m - 5 - 19, 96 = -4*m - u. Let h = 27 + m. Suppose 0 = -2*o + 6*o - 16. Solve h*k + o = 4*k for k. 4 Suppose -5*n - 17 = c, n -
{ "pile_set_name": "DM Mathematics" }
t is 27/4 of a litre in millilitres? 6750 Convert 0.9514028 microseconds to nanoseconds. 951.4028 How many months are there in three eighths of a millennium? 4500 How many seconds are there in 3/50 of a week? 36288 What is 3/5 of a century in decades? 6 How many months are there in 905.5875 millennia? 10867050 What is 17/4 of a litre in millilitres? 4250 What is 29.17978ms in seconds? 0.02917978 Convert 0.3531703 tonnes to milligrams. 353170300 How many centuries are there in 528229.9 years? 5282.299 What is 3/16 of a century in months? 225 Convert 932.1035g to kilograms. 0.9321035 How many grams are there in 11/8 of a kilogram? 1375 How many weeks are there in 43763.314 days? 6251.902 Convert 0.49075 kilometers to meters. 490.75 How many micrometers are there in twenty-one quarters of a millimeter? 5250 How many micrometers are there in 1/20 of a meter? 50000 How many minutes are there in 21/8 of a week? 26460 How many milliseconds are there in 3/25 of a second? 120 How many centimeters are there in twenty-one fifths of a meter? 420 What is 3/10 of a milligram in micrograms? 300 Convert 327413.7 months to years. 27284.475 What is 15.68131 minutes in nanoseconds? 940878600000 How many years are there in 3/40 of a millennium? 75 How many seconds are there in 16300.68 milliseconds? 16.30068 Convert 53.28359ml to litres. 0.05328359 What is one tenth of a day in seconds? 8640 How many micrograms are there in 5/4 of a milligram? 1250 How many months are there in 5/8 of a century? 750 Convert 5732.416 meters to centimeters. 573241.6 What is fifty-seven halves of a litre in millilitres? 28500 Convert 7420.164 weeks to nanoseconds. 4487715187200000000 How many micrometers are there in fifteen sixteenths of a centimeter? 9375 How many minutes are there in 78679.82 days? 113298940.8 What is 19/4 of a kilogram in grams? 4750 How many centuries are there in 46.58149 years? 0.4658149 How many millimeters are there in 0.4208697 centimeters? 4.208697 What is eleven tenths of a hour in seconds? 3960 How many litres are there in 30697.43ml? 30.69743 What is 8.393245 weeks in hours? 1410.06516 What is 852459.3 milligrams in kilograms? 0.8524593 Convert 11073.91 litres to millilitres. 11073910 What is 1/4 of a litre in millilitres? 250 What is 0.8945766t in micrograms? 894576600000 What is 30.923 litres in millilitres? 30923 What is nine tenths of a milligram in micrograms? 900 What is 1/20 of a gram in milligrams? 50 What is 63/8 of a millennium in years? 7875 How many years are there in 7/2 of a century? 350 How many hours are there in eight sevenths of a week? 192 What is 92533.19 milliseconds in nanoseconds? 92533190000 How many millilitres are there in 326045.8 litres? 326045800 What is fifty-three fifths of a litre in millilitres? 10600 How many millennia are there in 15.093045 months? 0.00125775375 How many meters are there in 3/5 of a kilometer? 600 How many nanograms are there in 7/2 of a microgram? 3500 What is twenty-one quarters of a micrometer in nanometers? 5250 Convert 6310885.5 milliseconds to days. 0.07304265625 What is 11/8 of a litre in millilitres? 1375 What is 21/5 of a kilogram in grams? 4200 Convert 7687.89l to millilitres. 7687890 How many years are there in 21/4 of a millennium? 5250 Convert 45.42558ng to grams. 0.00000004542558 How many millilitres are there in 3/40 of a litre? 75 How many grams are there in 18/5 of a kilogram? 3600 What is three fifths of a week in minutes? 6048 What is 0.5519515ml in litres? 0.0005519515 What is thirty-three fifths of a tonne in kilograms? 6600 How many years are there in 21/5 of a century? 420 What is 80348.2 millennia in decades? 8034820 Convert 1.034131 milligrams to nanograms. 1034131 How many litres are there in 0.73691ml? 0.00073691 What is 6610.304 millennia in decades? 661030.4 How many litres are there in 891.0993 millilitres? 0.8910993 What is eighty-eight fifths of a millennium in decades? 1760 What is sixty-seven fifths of a litre in millilitres? 13400 Convert 2.202614 millilitres to litres. 0.002202614 What is 0.4844176 millilitres in litres? 0.0004844176 Convert 60.7442 millennia to centuries. 607.442 What is 3/8 of a week in hours? 63 Convert 514.3456kg to grams. 514345.6 How many grams are there in 93650.67ug? 0.09365067 What is 2.237587 grams in tonnes? 0.000002237587 Convert 61525.7nm to kilometers. 0.0000000615257 How many millimeters are there in thirteen eighths of a meter? 1625 Convert 262.5521 decades to months. 31506.252 How many micrometers are there in seven halves of a centimeter? 35000 How many millilitres are there in three fifths of a litre? 600 What is five quarters of a meter in millimeters? 1250 Convert 791235.4 meters to millimeters. 791235400 Convert 6.260856 decades to millennia. 0.06260856 What is 766606.8ml in litres? 766.6068 How many millimeters are there in 26/5 of a meter? 5200 How many years are there in three tenths of a decade? 3 What is 11/8 of a meter in millimeters? 1375 How many seconds are there in fifty-five thirds of a minute? 1100 How many months are there in three eighths of a century? 450 What is twenty-nine halves of a millennium in centuries? 145 What is 0.3773172 tonnes in kilograms? 377.3172 How many nanometers are there in 1.97372cm? 19737200 What is 255852.6l in millilitres? 255852600 What is thirteen quarters of a litre in millilitres? 3250 How many nanoseconds are there in 3/50 of a microsecond? 60 What is one tenth of a day in seconds? 8640 How many millilitres are there in 3/10 of a litre? 300 How many kilometers are there in 63620.5 meters? 63.6205 How many microseconds are there in fifty-five quarters of a millisecond? 13750 Convert 89.28292 minutes to nanoseconds. 5356975200000 How many hours are there in 860.9346 milliseconds? 0.0002391485 Convert 0.957693 milliseconds to nanoseconds. 957693 What is 1847.075 litres in millilitres? 1847075 Convert 37.37173 nanograms to grams. 0.00000003737173 Convert 81.2278 kilometers to micrometers. 81227800000 How many millilitres are there in seventy-five quarters of a litre? 18750 What is 0.92446g in micrograms? 924460 Convert 53.38078ng to kilograms. 0.00000000005338078 What is 1469.384mg in nanograms? 1469384000 How many months are there in 7/3 of a century? 2800 How many nanograms are there in twenty-one quarters of a microgram? 5250 What is fourty-five halves of a litre in millilitres? 22500 How many seconds are there in 1/9 of a week? 67200 What is 0.5852822g in tonnes? 0.0000005852822 What is 0.5114282ml in litres? 0.0005114282 How many nanograms are there in 1/5 of a microgram? 200 How many years are there in eighteen fifths of a decade? 36 What is 1148.969 kilograms in milligrams? 1148969000 What is 298.7065m in kilometers? 0.2987065 What is 3/25 of a kilogram in grams? 120 Convert 831.3327 litres to millilitres. 831332.7 How many grams are there in fourty-nine quarters of a kilogram? 12250 How many millilitres are there in 6372.896l? 6372896 Convert 0.8772671kg to milligrams. 877267.1 What is 486.8707t in kilograms? 486870.7 What is 6919.869 days in minutes? 9964611.36 What is 2/125 of a second in milliseconds? 16 What is 11/8 of a litre in millilitres? 1375 What is 88/5 of a microgram in nanograms? 17600 How many decades are there in 689580.3 months? 5746.5025 What is thirty-two fifths of a centimeter in micrometers? 64000 What is seventeen quarters of a meter in millimeters? 4250 How many millilitres are there in 53/4 of a litre? 13250 How many seconds are there in one eighteenth of a week? 33600 What is three fifths of a micrometer in nanometers? 600 How many nanograms are there in 46/5 of a microgram? 9200 What is 79899.6 months in millennia? 6.6583 Convert 9.14057ug to kilograms. 0.00000000914057 Convert 28.8887 minutes to seconds. 1733.322 Convert 10691.05 litres to millilitres. 10691050 Convert 360451.9l to millilitres. 360451900 What is 3/25 of a litre in millilitres? 120 How many seconds are there in 1/4 of a minute? 15 What is 1/4 of a second in milliseconds? 250 Convert 7776.98 millennia to decades. 777698 How many years are there in 1.9019427 months? 0.158495225 How many litres are there in 5584.196ml? 5.584196 Convert 9697.676 decades to years. 96976.76 How many millime
{ "pile_set_name": "DM Mathematics" }
g g is positive. g**(-583/252) Simplify ((d*d**(-3/20))**50*d/(d**(15/4)*d)*(d/(d**(-1/41)/d))/d)**(-42) assuming d is positive. d**(-136983/82) Simplify ((x**(-26/5)*x*x/x**36)/(x**27*x*x)**(-49))**(-9/7) assuming x is positive. x**(-8883/5) Simplify ((k*k**(-6/11))/k**24)/(k**(5/3))**(-41) assuming k is positive. k**(1478/33) Simplify ((z*z/(z/(z/(z/z**(2/3))))*z)/((z*(z**(-1)*z*z)/z)/z)*((z/(z**(1/14)*z))/z)/(z/z**(1/2)))**(-11) assuming z is positive. z**(-253/21) Simplify ((t/t**(-1/9))/t*t**4/t)**(-1/8)/((t**(2/7))**(4/33)*(t**0/t)**41) assuming t is positive. t**(56239/1386) Simplify ((r**3/r)/(r*r**9))**(-28)/((r**(2/29)*r)/r*r**9)**(2/11) assuming r is positive. r**(70930/319) Simplify (((x*x**(2/13))/x**(-14))/(x**6/x*x**(4/9)))**(-1/8) assuming x is positive. x**(-142/117) Simplify ((m/m**(-3/4))/(m/(m**(-11)/m)))/(m**13*m**31) assuming m is positive. m**(-221/4) Simplify p/(p*p**(-3/14)*p)*(((p*p**(4/13))/p)/p)/p*p**(6/11)*p*p*p**37*p assuming p is positive. p**(76211/2002) Simplify (m/m**18)**(-1/7)/(m**(2/3))**(-8) assuming m is positive. m**(163/21) Simplify (((c**(-2/17)/c)/(c/c**(5/7)))/(c*c**7)**(9/2))**30 assuming c is positive. c**(-133530/119) Simplify ((f**1)**(3/22))**(25/4)/((f*f**(-3))/f**0*(f**(2/13)/f)/(f/f**(-1/3)*f)) assuming f is positive. f**(20701/3432) Simplify (((l**(-5)*l**(-3/4))**(5/9))**(-12/17))**25 assuming l is positive. l**(2875/51) Simplify (m*m**(-1)*m)**(17/5)*(m*m*m/((((m*(m/(m/(((m/(m**(-6)/m))/m)/m))*m)/m)/m)/m)/m))/m**(2/21)*(m**4*m*m**5)/(m**(-1/2))**(-10) assuming m is positive. m**(767/105) Simplify (c**(-2/7)/c**(1/4))/(c/(c/c**2))**(1/9)*(c**10*c*c/(c**(2/11)/c*c))**14 assuming c is positive. c**(456539/2772) Simplify (x**(1/6)*x*x/(x*x**(3/7))*(x**(-1/2))**(-31))/(x**(1/6)*x**2*(x*x**0)**(-8/7)) assuming x is positive. x**(213/14) Simplify ((((i*i**(5/2))**(-14))**(-14/5))**(-5))**(18/13) assuming i is positive. i**(-12348/13) Simplify ((f**(-24))**(1/34)/(f**(21/4)/(f/((f/f**(1/15)*f)/f))))**(-13/6) assuming f is positive. f**(78091/6120) Simplify (g*g**2)/(g*g**1)*(g/g**1)**(1/10)*(g/g**1*g*g**(4/5))/(g*g*g*(g/g**3)/g*g**(2/11)/g) assuming g is positive. g**(199/55) Simplify (((y**(-2/7)/y)**22/(y/(y/(y*y*(y/y**1)/y))*y*y*y*y**(4/3)))**(-28/3))**20 assuming y is positive. y**(56480/9) Simplify (j**(-2/29)*(j/j**(-1/14))/j)**(-2/173)/(j**(1/5)/j*j**3*(j/(j/(j*j**(-2))))**(1/19)) assuming j is positive. j**(-7164371/3336305) Simplify (g**(-1/15))**21*g**(-6/17)*g/g**45 assuming g is positive. g**(-3889/85) Simplify ((s*s**(-4/9))/s*s**(2/13)/s*((s**(-2)*s)/s)/s**(-11))**(-7/3) assuming s is positive. s**(-6314/351) Simplify (t**(-2/21)/t**6)/(t/(t/((t*t*t**(2/3))/t))*t)**32*(t*t**(3/5))/(t/t**(1/9))*(t*t/(t*t**(1/6)/t))/(t/(t**(-6)/t)) assuming t is positive. t**(-61037/630) Simplify (d**(2/7)/d)**37*d**(2/17)/(d*d/d**(-2/5)*d)*d**7/(d/d**(-5))*(d*d*d**0)**49 assuming d is positive. d**(41227/595) Simplify (n/n**(-10))/(n*n*n**(-33/2)/n)*(n**(11/4)*n)/(n**(-3/35)/n) assuming n is positive. n**(4387/140) Simplify (((z**(2/21)*z**9)**(-1/11))**(-3/52))**(-16) assuming z is positive. z**(-764/1001) Simplify ((r/(r/r**7)*r**(-1/9))/((r*r**(1/7)*r)/(r/(r/(r/(r**6*r))))))/(r**(-4/7)/(r*r*r*r*r/(r/r**(-7))*r*r*r)*(r**0)**42) assuming r is positive. r**(-43/63) Simplify ((a**(-15/2)/((a*a**(-13))/a))/((a*a**(-13/2))/(a**(-5)*a)))**(-12/5) assuming a is positive. a**(-84/5) Simplify ((s**(-2/15)*s**5/s*(s*s**0*s)**(5/7))**(-9/8))**(-13) assuming s is positive. s**(5421/70) Simplify (((w/w**(7/4))/w**(-2/3)*(w/(w/w**(-5)))/w**11)**15)**(-48) assuming w is positive. w**11580 Simplify (p**(-3/2)/p**(-11))**31/((p/(p**(-2/3)*p*p))/p**(-2)*p*(p**7*p)/p*p**(-3/5)) assuming p is positive. p**(8563/30) Simplify ((((r*r/(r*r**(-1/7)))/r)/r*r*r**(2/5))/((r*((r*r**0)/r)/r)/(r*r/(r/(r**(-2/7)*r))*r)))/(r/(((r**5*r*r)/r)/r)*r*r**(-5))**(4/5) assuming r is positive. r**(338/35) Simplify ((c*c**4*(c/(c*c*c*c**(-2/9)))/c)/((((c/(c*c/(c*c**6*c)*c))/c)/c)/(c*(c**7*c)/c*c)))/((c**(4/5)/c*c*c)/(c*c**4*c))**(4/3) assuming c is positive. c**(577/45) Simplify (w**0)**(-1/20)/(w**25*(w/((w**(-3/5)/w)/w*w))/w) assuming w is positive. w**(-133/5) Simplify ((t/t**(-1/3))/t)**(-3/35)*t/t**(-4)*t*t*t/t**(-3)*t*t**(1/10)/(t*t/t**(-1/3)*t)*t**(-1/3)/(t**(2/9)*t) assuming t is positive. t**(905/126) Simplify ((c**(-1))**(22/5)*c**(-3)/(((c/c**(3/10))/c)/c))**45 assuming c is positive. c**(-549/2) Simplify (z/z**(-1/7)*z)/(z**(-2/59)/z)*z**(-36)/z**(2/39) assuming z is positive. z**(-529510/16107) Simplify ((u/u**(-8))**(-23)/((u/(u*u/(u*u*(u**1/u)/u*u)*u))/(((u**(-13)*u*u)/u)/u)))**48 assuming u is positive. u**(-10560) Simplify ((z/(z*(z*z/(z/(z**0/z*z))*z*z*z)/z))/z*z)**(1/14)/((z/(z/z**(1/2)))/z**4)*z/(z**(2/11)*z)*z**(-1)*z*z**(-1)/(z/(z**(-1/4)/z)) assuming z is positive. z**(-45/308) Simplify ((u/u**(-4)*u**7*u)/(u*u**(-15)*u**(2/7)))**41 assuming u is positive. u**(7667/7) Simplify (((s/(s**(-8)*s))/s**(-13))/(s*s*s**(2/25)/s*s*s**(-24)))**(-4/7) assuming s is positive. s**(-4292/175) Simplify (a**(1/2)/((a*a/a**(1/3))/a))/(a**(1/3))**(18/11)*(a**11/(a*a**11))**9 assuming a is positive. a**(-641/66) Simplify (k/k**6*k/(k**(2/9)/k)*k**(2/3)*k/(k/(k**(1/2)*k*k)))/(k**6*k**(-1)*k**(-4)/((k*k**(5/4)*k*k)/k)) assuming k is positive. k**(79/36) Simplify ((h**40/h*(h*h*h/(h**34*h))/h)/((h*h/(h*h/(h**(-26)/h))*h)/(h*h**35*h)))**(-30) assuming h is positive. h**(-2070) Simplify (v**3*v**6*v**(1/4)*v**(-3)/v)/((v*v**(1/3))**(1/14)/((v/v**(-1))/v*v*v)**50) assuming v is positive. v**(13033/84) Simplify (p**(3/7)/p**(-8)*(p/p**(-18))/p**(-7))**(12/17) assuming p is positive. p**(2892/119) Simplify ((((q**(-3/2)*q)/(q/(q**(-6)*q)))/(q**(2/19)*q/q**(-1)))**(16/5))**(3/4) assuming q is positive. q**(-1962/95) Simplify (((h**(2/7)*h)/h)**(-21))**(-20)/(h**(-1/3)/(h/(h/h**(1/3)))*(h/(h/h**(-1)))/(h**(-6)*h)) assuming h is positive. h**(350/3) Simplify ((l**9)**14*(l**(2/37)/l*l)**(10/13))**(-3/43) assuming l is positive. l**(-181878/20683) Simplify (i*i**(-2/5))**32*i**4*i**(1/5)*((i/i**(-2/3))**3)**(3/2) assuming i is positive. i**(309/10) Simplify (s**(-11)*s**(-2))**8/(s/(s**13*s)*s**(2/9))**(2/41) assuming s is positive. s**(-38146/369) Simplify ((q/q**(-1/2))/q)**4*(q*q**0)**44*((q*q**0)**(3/14))**(-5) assuming q is positive. q**(629/14) Simplify (((g/(g*g*g**(1/11))*g*g**(-1/4))**(5/2))**23)**(-47) assuming g is positive. g**(81075/88) Simplify f**(-2/7)*f**3*(f*f**2)/f*f**(-6)*((f**(2/3)*f*f)/(f/(f*f**(-3/7))*f))/(f**(-3)/f**(-2)) assuming f is positive. f**(20/21) Simplify ((z**(-7))**49*(z/(z/((z**(2/11)/z)/z)))/((z/(z**(1/4)/z))/z))**(2/5) assuming z is positive. z**(-3041/22) Simplify (g**6*g**8/g*g)/(g**(-1/3))**(-35)*(g/(g/(g**(-2/9)*g)))/g**1*g**5/(g**(3/7)/g) assuming g is positive. g**(484/63) Simplify l**(-20)*l**(-18)/l*(l**(-1/7))**(-33) assuming l is positive. l**(-240/7) Simplify (v/v**21*v*v/(v/v**34))/(v**(3/11)/v*v)**(-38) assuming v is positive. v**(279/11) Simplify (j**(-2))**(-2)/(j/((j*j**(2/7))/j*j*j)*j)**21*((j**(1/3)*j)**2)**(-50) assuming j is positive. j**(-370/3) Simplify ((s*s/(((s/s**11)/s)/s)*s)/s**(3/29)*(s/(s/s**15))**(-23))**(-6/13) assuming s is positive. s**(57438/377) Simplify (o*o**(-11)*o*o**(-4/3))**(-32)*o**(2/9)*o*o**4*(o**(-2/3)*o)**4 assuming o is positive. o**(3035/9) Simplify ((h**(-1/31))**(2/55)*h**(2/17)*h*h**(2/27))**(1/62) assuming h is positive. h**(931717/48520890) Simplify (z/z**13*z**(11/4))**(1/23)*(((z/(z/(z**0/z)*z))/z)**(-50))**(2/7) assuming z is positive. z**(27341/644) Simplify (((b**(-2)*b)/b**6*(b*b*b**(-2/5)*b*b)/b**(1/7))**(-3/8))**(1/2) assuming b is positive. b**(93/140) Simplify u*(u**34/u)/u*u*u*u*(u**(-26)*u*u)/u*u**(-16/7)*u/(u*(u**(-1/35)/u)/u) assuming u is positive. u**(376/35) Simplify k**(1/2)/k**(-4/7)*(k/k**(-2/13))/(k*k*k/k**(2/11))*(k**(-1)/k**1)**(-45) assuming k is positive. k**(178993/2002) Simplify ((r*r*r*r**(-1)*r)/r)**(-8/3)/((r/r**(-1)*r)/r)**33*(r**1*r/(r/(r*r*r**4*r*r)))/(r**(-2/7))**(-3/5) assuming r is positive. r**(-6563/105) Simplify (h**5*h**(-4/5))**(1/17)*h/(h*h**(-1/2))*h*h**(2/3)*(h*(h/(h/h**(-1)))/h*h*h)**18 assuming h is positive. h**(10411/510) Simplify (d**1*d*d/(d*d**(5/3)/d)*d*(d*d**7)/d*d**(-1/8))/(((d**(-1/4)/d)/d)/d**(-1)
{ "pile_set_name": "DM Mathematics" }
1*14/(-10) and -77/4? 20 Let o(a) = 5*a - 2. What is the least common multiple of o(2) and 6? 24 Let a = 11491/8262 - -98/243. What is the common denominator of a and -63/2? 34 Let p(y) = 3*y**2 - y. Suppose 0 = n - s - 3, 0 = -2*n - 4*s - 18. Let r = 5 - n. Calculate the least common multiple of p(1) and r. 6 Suppose -2*t + 19 = -u, t - 2*u - 6 = 2*u. What is the smallest common multiple of t and 208/12 + 2/3? 90 Let z be (6/9)/((-3)/(-1134)). Let s be (-710715)/z - 2/7. Let g = s + 2809. What is the common denominator of -49/22 and g? 132 Let s = 373/56 + 17/14. What is the common denominator of 597/27 - 4/(-18) and s? 24 Let d = -114977141/334074 - -1/55679. Let i = d - -340. What is the common denominator of i and 37/3? 6 Let k = 2 - 0. Calculate the lowest common multiple of 2 and k. 2 Suppose 33 = -4*c + 4*t + t, 3*c + t = -1. What is the least common multiple of (-4)/(-6)*(-9)/c and 2? 6 Suppose 2*r - 16 = -3*x, -4*r - 5*x = -36 + 6. What is the smallest common multiple of r and 2? 10 Suppose 7*s - 2*s = 25. Let f = -2 + s. What is the common denominator of f and -1/6? 6 Find the common denominator of ((-476)/(-16) - 1) + -4 and -11/5. 20 Let q = 6/41 + -139/1230. What is the common denominator of q and 17/11? 330 What is the common denominator of -3 - (1 + 788/(-88)) and -21/22? 22 Let h be (-68)/(-18) - (-6)/27. What is the common denominator of 10/h*3/12 and 83/16? 16 Find the common denominator of -30 and ((-4)/56)/(2/34). 14 Let x(y) = -9*y. Calculate the smallest common multiple of x(-1) and (54/36)/((-1)/(-2)). 9 Suppose -2*w + 48 = 2*v + 2*v, 48 = 2*w + 3*v. Calculate the least common multiple of w and 12. 24 Let p be (-2)/10*117194/4. Let s = p - -5855. Calculate the common denominator of -89/10 and s. 10 Let b = -5 + 7. Calculate the smallest common multiple of 14 and b. 14 Calculate the common denominator of 71/6 and 272/153*24/2. 6 Let o = 66 + -58. Calculate the least common multiple of 5 and o. 40 Let i = -131 - -210. Suppose 0 = -3*v + 4*v - 5*a - 11, -5*v + i = -a. What is the smallest common multiple of v and 28? 112 Let y = -41/5 - -222/35. What is the common denominator of y and -74/9? 63 Suppose 0 = 3*b - 7 + 22. Let v be 0 + (-3 - b*4). Suppose j = 5, 11 = 3*w - 4*j - v. Calculate the least common multiple of w and 16. 16 Let f(q) = -q + 8. Let j be f(6). Calculate the common denominator of (-97)/j*8/40 and -1/2. 10 What is the common denominator of 4/18 + 2577/(-540) and -91/12? 60 Suppose -s + 3*r + 13 = 0, -s + 4*r = -r - 23. Let d = -8 + 9. What is the lowest common multiple of d and s/11 - (-48)/22? 2 Let l = -2417/170 - -104/17. Calculate the common denominator of l and -47/8. 40 What is the common denominator of 0 + (162/40)/(-1) and -133/36? 180 Let u = 206/369 + -642188/1151649. Let m = 96733/28089 + u. Calculate the common denominator of -4/3 and m. 9 Calculate the common denominator of (393/(-30))/(12/10) and 2 - (-99)/(-42) - 8/(-28). 84 Let o = 8485/1722 - 35/123. Calculate the common denominator of 37/16 and o. 112 Let n(q) = q**2 + 6*q + 5. Let f be n(-7). Calculate the common denominator of (-381)/f - 3/(-4) and 31/12. 12 Suppose 5*c - 3*b = 53, -2*c = -3*c - 3*b + 7. Calculate the lowest common multiple of c and 60. 60 Let d(x) = x**2 + 9*x - 16. Let v(i) = 3*i - 5*i + 2 - i. Calculate the lowest common multiple of d(-11) and v(-3). 66 Let k = -174397/48554 - -2/2207. Find the common denominator of (-41)/(-42)*2*12/(-8) and k. 154 Let f = 70989/62480 - -1/5680. Let y = 10950 + -197035/18. What is the common denominator of f and y? 198 Let v be 11 + 118 - (-2)/(-2). Let f = 3207 + -19315/6. Calculate the common denominator of f and (-7 - -6)*v/6. 6 Let m(l) = -l + 7. Suppose 5 + 30 = -5*t. Let i be m(t). Suppose -d - i = -3*d. Calculate the least common multiple of d and 11. 77 Suppose 4*n - 2*w - 12 = 0, -w + 2 = 3*n - n. What is the lowest common multiple of 15 and n? 30 Suppose s - 5*i + 10036 = 0, s - 3*s - 3*i = 20137. Let d = s + 160907/16. Find the common denominator of 79/14 and d. 112 Let z = 3456 - 31136/9. Find the common denominator of z and 57/2. 18 Suppose 2*w = 3*c - 15, -2*c - 2*c + 20 = -w. What is the common denominator of -51/2 and 53/(-2)*(-1)/c? 10 Let c = 40657/198 + -2274/11. Let o = 335 - 3367/10. Calculate the common denominator of o and c. 90 Calculate the common denominator of 4/3*1/((-48)/(-549)) and 1/28. 28 Suppose -6 = 3*c, -100 = 4*x - c - c. What is the common denominator of -3/5 and 2/(-4)*(-44)/x? 65 Let r be (-18)/(-5) - (-15)/(-25). Suppose r*x = 4*x - 10. Let o(p) = 7*p**2 + p - 1. What is the smallest common multiple of x and o(1)? 70 Let w(m) = m**3 - 8*m**2 - m + 10. Let y be w(8). Suppose -36 = -0*p - y*p. What is the lowest common multiple of p and 2? 18 Let m = -43 + 25. Let k = 2 - m. Calculate the smallest common multiple of k and 8. 40 Let u be (1 + (-39)/51)/254. Let g = -43158/23749 - u. Let w = 489459/23588 - 2/5897. Find the common denominator of w and g. 44 Suppose -1 = 3*k + 5*u - 18, 4*u = k. Suppose 137 = -k*s - 7. Calculate the common denominator of -19/22 and (-52)/10*81/s. 110 Let s(o) be the first derivative of o**4/4 - 2*o**3 + o**2/2 - 2*o - 2. Calculate the least common multiple of s(6) and 10. 20 Let k = 21 + -15. What is the least common multiple of 14 and k? 42 Suppose 6*a + 36 = -0*a. Let w be (14/3)/(2/45). Find the common denominator of 2/(-1) + w/a and -33/16. 16 Suppose 3*b = -0*b - 3. What is the common denominator of b - 103*(-3)/6 and (-2)/(-4)*(-54)/(-4)? 4 Let k = 39/41 - -2759/246. Find the common denominator of 1*(0 + (-98)/22) and k. 66 Find the common denominator of 75/8 and 15/(-21) + 1 + -1. 56 Suppose -3*r = -0*q - 2*q - 73, 5*q + 7 = r. Calculate the smallest common multiple of 12 and r. 108 Let l = -102 - -183/2. What is the common denominator of -47 and l? 2 Let k = -28 + 37. Calculate the lowest common multiple of k and 20. 180 Let w = 32 + -30. Suppose 0 = -5*z + j + 15 + 44, 0 = 2*z + 5*j - 29. What is the least common multiple of z and w? 12 Let i(s) = -s**2 - 3*s. Let l be i(-4). Let g = 6 + l. Calculate the least common multiple of g + (54/2)/3 and 11. 11 Find the common denominator of (21*-3)/(10*-1) and ((-2)/(-5)*(-40)/(-32))/(-11). 110 Suppose -6 + 2 = -k. Suppose -k*b + 5*w + 24 = -23, 0 = -3*w - 9. Find the common denominator of (-154)/b*4/2 and -31/8. 8 Calculate the common denominator of (-478)/210 - (-21)/(-35) - -2 and -15/2. 210 Let m = -9 - -17. Suppose 8 = o + 2*o - 2*t, 5*t + 13 = 4*o. What is the lowest common multiple of (m/6)/((-3)/(-36)) and o? 16 Let p(i) = -i**3 - 11*i**2 + 6. Let q(g) = -4*g**2 + 2 + g**2 + 3 + 2*g**2. Let m be q(-4). What is the least common multiple of 20 and p(m)? 60 Suppose 0 = 3*r - 3*f + 3, -2*r - f + 18 = 2*f. Calculate the lowest common multiple of 6 and r. 6 Let d = 593 + 601. Let k = d + -2325/2. Find the common denominator of k and 31/12. 12 Let t = -5 + 12. Calculate the lowest common multiple of 11 and t. 77 Let k be (-14)/(-250)*1581/9. Let u be (-12)/66 + 489/2750. Let l = u + k. Calculate the common denominator of 56/9 and l. 18 Let j = 3/487 + 42357/1948. Let i = -99 + 51. Calculate the common denominator of j and (-28)/i + 1*-2. 12 Let p = -580141/61880 - -2/7735. Calculate the common denominator of 49/86 and p. 344 Let b = 2 + 8. Let m(o) = -o**2 + 8*o - 8. What is the least common multiple of b and m(6)? 20 Let c = -565/9 + 688/9. What is the common denominator of 42/11 and c? 33 Let c = -8108717105/14058 + 5191255/9. Let l = 26/213 + c. What is the common denominator of l and -81/2? 22 Suppose 15*s - 27 = 14*s. What is the least common multiple of 33 and s? 297 Calculate the common denominator of -23/25 and (-16)/30 - (10/75 + 0). 75 Calculate the common denominator of -33/8 and (-1)/((-18)/255) - 1. 24 Suppose 3*b - 5*l = 54, -4*b + 2*l + 21 + 51 = 0. Calculate the least common multiple of 10 and b. 90 Suppose -c = -l - 6, 4*l + 0 = c - 12. Let t = 0 - l. Suppose g - 3 = 6. Calculate the least common multiple of t and g. 18 Calculate the smallest common multiple of (8 + -1)/(-25 - -26) and 17. 119 Suppose -i + 0*x = -5*x - 84, 4*x = i - 84. Suppose -60 = -2*z + z - 4*q, 0 = -2*z + q + i. Let b = -66 + z. Calculate the common denominator of b and -
{ "pile_set_name": "DM Mathematics" }
greatest common divisor of 11292 and 182701737. 2823 What is the greatest common divisor of 155 and 2436507? 31 Calculate the highest common factor of 55 and 4097764. 11 What is the highest common factor of 1247 and 512689? 43 What is the highest common divisor of 369 and 320346? 9 Calculate the greatest common divisor of 13656643 and 1131. 13 Calculate the greatest common divisor of 6497 and 345943. 89 Calculate the highest common factor of 243 and 64506537. 243 Calculate the highest common divisor of 1310432 and 16740. 124 Calculate the highest common divisor of 482 and 1976330381. 241 Calculate the highest common divisor of 514311 and 7581. 399 What is the greatest common factor of 31010299 and 38? 19 Calculate the greatest common divisor of 223812968 and 8. 8 Calculate the greatest common factor of 308925309 and 811. 811 Calculate the highest common factor of 87552 and 29882880. 4608 Calculate the highest common divisor of 238 and 2050874. 14 Calculate the highest common divisor of 9603 and 2757051. 99 What is the greatest common factor of 610875 and 1101385? 905 What is the highest common factor of 36450 and 10550? 50 What is the greatest common divisor of 117381157 and 2086? 149 Calculate the highest common factor of 2494750 and 650. 50 Calculate the greatest common divisor of 598362 and 2976. 186 Calculate the greatest common factor of 8874 and 49843286. 986 What is the highest common divisor of 38457 and 6804? 9 What is the greatest common factor of 14598461 and 10693? 629 Calculate the greatest common divisor of 6463825 and 750. 25 Calculate the greatest common factor of 20264 and 1076780. 68 Calculate the highest common factor of 15947 and 122581. 37 Calculate the highest common divisor of 3606 and 67593. 3 Calculate the highest common factor of 196723 and 3429. 127 Calculate the greatest common divisor of 34336150 and 15. 5 What is the greatest common factor of 3380 and 8457160? 20 Calculate the highest common divisor of 36509 and 4631. 11 What is the greatest common divisor of 3312542 and 8074? 734 Calculate the greatest common divisor of 147 and 157087665. 21 What is the greatest common factor of 1368 and 83853270? 342 Calculate the greatest common factor of 838861 and 547267. 2113 Calculate the highest common divisor of 61063 and 454. 227 What is the highest common factor of 7313224 and 14320? 1432 What is the highest common factor of 2831178 and 18? 6 Calculate the highest common divisor of 182213 and 4723358. 709 What is the highest common divisor of 74592 and 958797? 63 Calculate the highest common factor of 3859155 and 84861. 4041 Calculate the highest common divisor of 24827 and 53169. 37 Calculate the greatest common factor of 77953 and 25345. 137 Calculate the greatest common factor of 879528170 and 1970. 1970 What is the highest common divisor of 2552 and 9908140? 1276 Calculate the greatest common divisor of 11648 and 4396. 28 What is the highest common factor of 355833 and 3657? 69 Calculate the highest common divisor of 41769947 and 841. 841 What is the highest common factor of 34447 and 41846? 49 Calculate the highest common factor of 7089732 and 26910. 234 What is the greatest common divisor of 3 and 12617001? 3 Calculate the highest common factor of 28 and 65196747. 7 What is the highest common divisor of 469 and 160285507? 67 Calculate the highest common factor of 73507 and 1561. 7 Calculate the greatest common divisor of 18375 and 3852000. 375 Calculate the highest common divisor of 72 and 8035938. 18 Calculate the highest common divisor of 25 and 290725425. 25 What is the highest common divisor of 42683826 and 11796? 5898 What is the greatest common factor of 3379 and 5623855? 109 Calculate the greatest common divisor of 182 and 834540434. 182 What is the greatest common divisor of 10852469 and 86? 43 Calculate the highest common factor of 4983 and 45582823. 1661 Calculate the greatest common factor of 3339 and 23473912. 371 Calculate the greatest common factor of 41753325 and 2130. 1065 Calculate the highest common divisor of 126122576 and 64. 16 Calculate the highest common divisor of 6311410 and 210. 70 Calculate the greatest common divisor of 140 and 56776832. 28 What is the greatest common factor of 1618982802 and 356? 178 What is the greatest common divisor of 98 and 120966937? 49 What is the greatest common divisor of 64 and 57927824? 16 What is the greatest common factor of 9005630 and 50? 10 What is the highest common divisor of 1492 and 137788438? 746 What is the greatest common divisor of 16430037 and 22776? 2847 Calculate the greatest common divisor of 168175 and 817439. 217 Calculate the highest common divisor of 6012132 and 225036. 1596 Calculate the highest common divisor of 14201936 and 1224. 136 Calculate the greatest common divisor of 98352991 and 759. 253 Calculate the highest common divisor of 1742779 and 253. 23 Calculate the greatest common factor of 7 and 148739283. 7 What is the highest common factor of 305 and 5503115? 305 What is the greatest common divisor of 32 and 4606312? 8 What is the greatest common divisor of 26 and 170217? 1 What is the highest common divisor of 960 and 1311745? 5 What is the highest common factor of 292624 and 14576? 16 What is the highest common divisor of 174 and 118464594? 174 Calculate the greatest common divisor of 89328384 and 14976. 1152 Calculate the highest common factor of 5670968 and 10. 2 What is the greatest common divisor of 19226156 and 584? 292 Calculate the highest common factor of 30445425 and 380700. 10575 What is the highest common divisor of 8320 and 2459780? 20 What is the highest common factor of 52 and 1243124012? 52 Calculate the highest common divisor of 16311538 and 12502. 1786 Calculate the greatest common divisor of 103050324 and 186. 186 Calculate the highest common divisor of 116 and 1103252. 4 Calculate the greatest common divisor of 57192 and 78896. 8 What is the greatest common divisor of 52962986 and 202? 202 Calculate the greatest common divisor of 485050 and 14500. 50 What is the greatest common divisor of 41170012 and 635583? 4927 Calculate the greatest common factor of 14784 and 199212552. 1848 Calculate the highest common divisor of 127 and 85549359. 127 Calculate the highest common factor of 27 and 1957395159. 27 Calculate the greatest common divisor of 14 and 2295325676. 14 What is the greatest common divisor of 1040 and 1546220? 260 What is the highest common divisor of 225470443 and 22? 11 What is the highest common factor of 574 and 16541245? 287 What is the highest common factor of 6846 and 6377049? 3423 Calculate the greatest common divisor of 945 and 27445173. 21 Calculate the greatest common divisor of 2573 and 71641. 31 Calculate the highest common divisor of 91402 and 1206109. 1987 Calculate the greatest common divisor of 148074 and 416324. 2146 Calculate the highest common divisor of 579 and 18129. 3 What is the highest common divisor of 1500134 and 1416? 118 What is the highest common divisor of 56 and 35986517? 7 Calculate the greatest common factor of 6 and 11383062. 6 Calculate the greatest common factor of 15915 and 1875. 15 Calculate the highest common factor of 67685272 and 2006. 118 Calculate the highest common factor of 3509341 and 6787. 11 Calculate the greatest common factor of 1168 and 58561184. 1168 Calculate the greatest common divisor of 1948 and 187487695. 487 What is the highest common divisor of 545636 and 63518? 182 What is the greatest common divisor of 24 and 38319064? 8 What is the highest common divisor of 447531 and 10475619? 2121 Calculate the highest common factor of 121753104 and 88. 88 Calculate the greatest common factor of 12671196 and 8. 4 Calculate the greatest common factor of 15560 and 428580. 20 What is the highest common factor of 2869116 and 252? 12 Calculate the greatest common factor of 3504 and 1176764964. 876 What is the greatest common divisor of 60 and 112413540? 60 What is the highest common factor of 13696648 and 280? 56 What is the greatest common factor of 470 and 660444? 94 Calculate the greatest common divisor of 344355713 and 65. 13 Calculate the highest common divisor of 4959 and 2290507. 551 Calculate the highest common divisor of 39694 and 70914. 446 Wha
{ "pile_set_name": "DM Mathematics" }
667601 Simplify ((1*-1*(sqrt(6) - (sqrt(216) + -2*sqrt(216))))/(-5*sqrt(3)*3 - (sqrt(3) + sqrt(12)/(-2*sqrt(4)))))**2. 392/961 Simplify (-3*(sqrt(76) + sqrt(76)*3))/sqrt(4)*-1 - ((-2 + (sqrt(190)/(sqrt(30)/sqrt(3)) - sqrt(19)))**2 + -5). 1 + 12*sqrt(19) Simplify (3*sqrt(1400)*-1)/((sqrt(8) - sqrt(8)*1 - sqrt(8)) + sqrt(10)/(sqrt(5)*-2) + sqrt(2))*-6. -120*sqrt(7) Simplify (sqrt(70)/(2*sqrt(7)) - sqrt(40)*-4)/((sqrt(405) + (-5*1*sqrt(405) + sqrt(405) - sqrt(405)) + sqrt(405) - sqrt(405))*-1). 17*sqrt(2)/72 Simplify (-1*(sqrt(495)*2 - 1*sqrt(3520)))/(4*2*sqrt(245)*3). sqrt(11)/84 Simplify -3*(-1 + -4 + -3 + (-6*(-3*sqrt(432) + sqrt(432)) - sqrt(432) - (sqrt(432) + 3)*-3))**2. -254019 - 1008*sqrt(3) Simplify 3*(sqrt(375) - ((sqrt(375) - -1*sqrt(375)*1) + sqrt(375) + sqrt(375)))/(sqrt(10)/sqrt(2)*-3 - 2*sqrt(720)). 5*sqrt(3)/3 Simplify (-3*((sqrt(240)/sqrt(6) - sqrt(40))/sqrt(8) + sqrt(5) + -2) - (4*(sqrt(720)*-2 - sqrt(720)) - (-1 + (sqrt(720)*-1 - sqrt(720)))))**2*-4. -273880 - 4680*sqrt(5) Simplify (3*5*(sqrt(75) - (sqrt(75) + (sqrt(75) - (-1 + sqrt(75) + sqrt(75))))*-3) + ((1*sqrt(1536))/sqrt(8) - 3*sqrt(15)/(sqrt(20)/sqrt(4))))**2. 7200*sqrt(3) + 21225 Simplify -4 + ((sqrt(3328)*-1*5 - (1*sqrt(3328) + -1) - (-5*(sqrt(3328) + -1) + (sqrt(3328)*2 - sqrt(3328))*1)) + -2)**2. 384*sqrt(13) + 13344 Simplify 4 + ((3 + (sqrt(1008) - 6*sqrt(1008))*2)**2 - (sqrt(56)/(sqrt(8) - sqrt(2)) + -5)). -722*sqrt(7) + 100818 Simplify (-1*(3 + (sqrt(396) - sqrt(396)*1*5)) + 2*4*(sqrt(396)*-2 + sqrt(396) + 5))**2. -1776*sqrt(11) + 7705 Simplify (-2 + ((sqrt(132) - -3*-1*sqrt(132))/sqrt(12))**2 + ((sqrt(891) + 0)**2 - 2*sqrt(704)))*5*-1. -4665 + 80*sqrt(11) Simplify ((sqrt(250)/(sqrt(15)/sqrt(3) + sqrt(5)))/(sqrt(1440)*-1 - sqrt(1440)))**2 + -1 - ((2 + sqrt(720) + 0)**2 - (5*(sqrt(720) + 2))**2). 1152*sqrt(5) + 40032005/2304 Simplify (5 + (5*sqrt(1377) + (sqrt(153) - sqrt(17)) + 0 - 4*(sqrt(153) + 2 + (2 + sqrt(153) - sqrt(17)))))**2. -594*sqrt(17) + 12514 Simplify (4*(-3 + -1*sqrt(468) + sqrt(468))*6*-6*6)**2*5. 33592320 Simplify 1*((sqrt(80) + ((3 + sqrt(80))*-1 - sqrt(80)) - (sqrt(80) + -1 + -2))**2*3 + -3). 957 Simplify (4*(4 + 1 + (6*(sqrt(343) + (sqrt(343) - (sqrt(343) - sqrt(343)*2)) + 1))**2 + 0) + -4)*-1. -444688 - 6048*sqrt(7) Simplify (-3*(2 + 0 + (-4*-1*sqrt(2736) - (sqrt(2736) - (sqrt(2736)*-2 + sqrt(2736))*-4))))**2. 3024*sqrt(19) + 1206612 Simplify (sqrt(320)*2 + sqrt(320))/(sqrt(36)*6) - (4 + (-5 + sqrt(5) + 2 - sqrt(40)/(sqrt(32)/sqrt(4))))**2. -1 + 2*sqrt(5)/3 Simplify (sqrt(77) - -6*-1*sqrt(77))/(sqrt(42)/(sqrt(12)/sqrt(2))) + (1*sqrt(176) + sqrt(264)/sqrt(6))*2. 7*sqrt(11) Simplify -2*((sqrt(117) + (1*sqrt(117)*-1 - sqrt(117)) + sqrt(117) + -3 + (2*sqrt(117) - sqrt(117)))**2 + -5) + -4. -246 + 36*sqrt(13) Simplify 5*((sqrt(756) - (sqrt(756)*-2 - sqrt(756))*6)/(-1*sqrt(108)))/((sqrt(378)/sqrt(54))/(sqrt(7) + (-2*sqrt(14))/sqrt(2))). 95*sqrt(7) Simplify (1 + 2*(sqrt(304)*-2 + 4) - -3*((sqrt(2736) + 1 + sqrt(2736))*-2 + sqrt(2736) + (sqrt(2736) - (-1*sqrt(2736) + -4) - sqrt(2736))))**2. -2640*sqrt(19) + 147361 Simplify (1*((5*(sqrt(2) - -1*sqrt(50)) - (sqrt(2) + sqrt(162))*-4*-5) + 3))**2. -1020*sqrt(2) + 57809 Simplify (-6*-3*sqrt(176)*2)**2 - 2*(sqrt(22)/(sqrt(2)*1) - sqrt(44)/sqrt(4)*-2). -6*sqrt(11) + 228096 Simplify 2*((sqrt(1216) + -1 + -2)*1 + ((sqrt(133) - 2*(3*sqrt(133) + sqrt(133)))/sqrt(7))**2 + 4)*3. 48*sqrt(19) + 5592 Simplify 2*2*((sqrt(931) + -2*sqrt(931))*1 + sqrt(931) - (sqrt(931) + -2 + sqrt(931))*-1 - (4*(-4 + sqrt(931)) + -1))**2. -1680*sqrt(19) + 15796 Simplify -1*(-3 + 5 + ((sqrt(900)*2)/(-2*sqrt(125)))**2*-4). 134/5 Simplify (5*1*sqrt(112) - ((1 + sqrt(112))*1)**2) + 5 + ((sqrt(112) + 2)*-6 - (0 + (-3*sqrt(112) - sqrt(112)))). -120 + 4*sqrt(7) Simplify (-5 + (3 + (2 + sqrt(1584))*-5 - 1*(sqrt(1584) - (0 + sqrt(1584)*3))) + 3)**2. 648*sqrt(11) + 14337 Simplify (-6*(2 + 1 + sqrt(50) + sqrt(450) + -1))**2 + sqrt(100)/(2*sqrt(2)*2 + sqrt(2)) + 3. 2881*sqrt(2) + 28947 Simplify (sqrt(75)/(sqrt(3) + sqrt(6)/sqrt(2)))/(sqrt(120)/sqrt(6) - sqrt(5))*-5 + 3 + -5. -5*sqrt(5)/2 - 2 Simplify (-1*sqrt(120)/(sqrt(35)/(sqrt(7) + sqrt(35)/sqrt(5))))/((sqrt(36)*-3)/sqrt(3) - 1*sqrt(1728)). 2*sqrt(2)/15 Simplify ((6*(sqrt(1216)*1*-2*-3 + 1))**2 + 3)*3. 10368*sqrt(19) + 4727925 Simplify (sqrt(84)/sqrt(2)*5)/(-1*sqrt(384)) - (sqrt(112) + 1*sqrt(112) + sqrt(112) + -4 + 5 + (sqrt(112)*1)**2). -113 - 101*sqrt(7)/8 Simplify ((-2*-1*sqrt(5082) - sqrt(5082))*5)/((sqrt(180)/sqrt(3)*-3 - sqrt(60))/sqrt(10)*-3). 55*sqrt(7)/12 Simplify ((1 + sqrt(720) - sqrt(720)) + 4 + 1 + sqrt(720) + -4 - (2 + sqrt(720)*2 + sqrt(720) + sqrt(720) - (sqrt(720) + sqrt(720)*-1 + -1 - sqrt(720)))*-1)**2. 720*sqrt(5) + 25945 Simplify -2 + (sqrt(325)*-1*6*5 + -4 + 1*sqrt(325) + sqrt(325) + 6*-1*sqrt(325))**2. 1360*sqrt(13) + 375714 Simplify sqrt(1782)/sqrt(11) + (sqrt(14)/(sqrt(112) + sqrt(7)))**2 - (-1 + 1*1*sqrt(32))**2. -823/25 + 17*sqrt(2) Simplify (5*((-3 + (sqrt(300) - sqrt(300)*-2) + -3)*1 + 0))**2 + 1. -9000*sqrt(3) + 68401 Simplify ((sqrt(144)/sqrt(36))/(sqrt(726) - (sqrt(726) + sqrt(726)*1 + sqrt(726))))/((sqrt(100)/sqrt(5)*-5)/((sqrt(90) - sqrt(90)*-2)/sqrt(9))). sqrt(3)/110 Simplify (((-1*sqrt(176)*-2 + -1)*3 + 4)*-2*2)**2. 768*sqrt(11) + 101392 Simplify (-6*sqrt(720)*-1 - (sqrt(720) + 2 + -2*sqrt(720)) - (-1 + (sqrt(5) - (sqrt(125) + 2)) + 1*(2 + sqrt(5))))**2. -174*sqrt(5) + 37846 Simplify (-5 + (sqrt(847)*3)**2 - (sqrt(847) - (sqrt(847)*-2)**2*-2)) + (sqrt(252) - (-3*sqrt(252) + sqrt(252) + -5))**2 + -3. 169*sqrt(7) + 3132 Simplify (5*5*(sqrt(102) + sqrt(102)*-3 + sqrt(102))*6)/(-2*(sqrt(216) + (sqrt(216) + sqrt(216) + (2*sqrt(216) - sqrt(216)))*3 + sqrt(216))). 25*sqrt(17)/22 Simplify 2 + sqrt(475)*-1*6 + (((sqrt(19) + -1 + sqrt(19) - sqrt(19)) + sqrt(19))*3 - ((sqrt(19)*-2)**2 + -1))*-4. -54*sqrt(19) + 314 Simplify (-1*(-6*sqrt(136)*-1 - (sqrt(136) - (sqrt(136) + (sqrt(136) - 4*-1*sqrt(136)))))/(1*sqrt(968) - sqrt(56)/sqrt(112))*-3)**2. 296208/1849 Simplify (4*(sqrt(108) + sqrt(108)*-1 - sqrt(108))/sqrt(6) + (sqrt(2) - (-2*sqrt(2) + -3) - (sqrt(4)/(sqrt(2) - -1*sqrt(2)) - sqrt(2))))**2. -51*sqrt(2) + 307/2 Simplify 3 + ((sqrt(171) + sqrt(171) + (sqrt(171) - sqrt(171)*2))*-5 - 4*sqrt(171)*-1)/((-5*sqrt(3888))/sqrt(3)). sqrt(19)/60 + 3 Simplify ((sqrt(190) + (sqrt(190)*-2 - sqrt(190)))*-1)/sqrt(10)*5 - 2*((sqrt(76) + 0)**2 + 4). -160 + 10*sqrt(19) Simplify ((sqrt(120) - 2*sqrt(120))*-4*2)/(sqrt(160)*-1 + sqrt(250)*3). 16*sqrt(3)/11 Simplify (5 + sqrt(891) + -1 - (sqrt(891)*1 + sqrt(891) + sqrt(891))*-3)**2 - (-4*(sqrt(66) - (-1*sqrt(66) + sqrt(66) + sqrt(66))))/sqrt(6)*5. 720*sqrt(11) + 89116 Simplify ((sqrt(102)*-1*4 - ((sqrt(102) + sqrt(102)*-1)*3 + sqrt(102) - sqrt(102) - sqrt(102)))*-5)/(sqrt(24)*-2 + -3*sqrt(294)) + 4. -3*sqrt(17)/5 + 4 Simplify (((-2 + sqrt(2))*-4 + 4)**2 + 0)*-5*3 + 0. -2640 + 1440*sqrt(2) Simplify (-4*sqrt(187)*-2)/((sqrt(132)*2)/sqrt(12)) - 1*(-2 + ((sqrt(833)*-2 - sqrt(833)) + sqrt(833))**2 + 1). -3331 + 4*sqrt(17) Simplify (2*5*sqrt(175) - (5 + -3*sqrt(175)) - ((sqrt(175)*1*3 - -2*(sqrt(175) + 0)) + -4))**2. -80*sqrt(7) + 11201 Simplify -5*(-4*sqrt(63)*-1 - sqrt(63) - sqrt(378)/(sqrt(96) + sqrt(6)))/(sqrt(144) - (sqrt(144) + -2*sqrt(144) + sqrt(144)) - (sqrt(324)*2 - sqrt(324))). 7*sqrt(7) Simplify 4*-3*(3*sqrt(1100))**2*4 - (4 + (-4*sqrt(77)/sqrt(7) - (sqrt(11) - sqrt(55)/(-3*sqrt(5)))**2)). -4276660/9 + 4*sqrt(11) Simplify ((-6*((sqrt(102)*-1 - sqrt(102)) + sqrt(102) - sqrt(102)) - sqrt(102))*-3)/(3*(sqrt(600) + sqrt(600) + 2*sqrt(600))) + 2 + -1. -11*sqrt(17)/40 + 1 Simplify -3 + -4 + (0 + sqrt(931))*-2 + ((1 + sqrt(931) + sqrt(931))*3)**2 + -2 + 2. 238*sqrt(19) + 33518 Simplify (((-1*sqrt(3000) + sqrt(3000))*-4 - sqrt(3000)*2*-5)/(sqrt(54)/(sqrt(9)*-2)*3*4*5))**2. 500/9 Simplify 3 + -2*(-5 + (-3 + sqrt(1008)*1 - ((2*sqrt(1008) - sqrt(1008)) + 2 - sqrt(1008))))**2. -2213 + 480*sqrt(7) Simplify 3 + 1*-1*(-2 + -2*sqrt(72) + sqrt(72) + -6*(sqrt(72) + 0) + sqrt(72))*-4. -144*sqrt(2) - 5 Simplify 5*-3*6*(sqrt(468)*-2*-6 - (-1 + sqrt(1573) - 1*sqrt(117)))**2. -4792410 - 11520*sqrt(13) Simplify -5 + -2*sqrt(891)*1 + (-5*(sqrt(891) + 1*sqrt(891)))**2 + (3*(sqrt(77) - sqrt(77)*-2)/sqrt(7))**2 + 5. -18*sqrt(11) + 89991 Simplify (-4 + 1 +
{ "pile_set_name": "DM Mathematics" }
1. -5 Calculate -483 divided by -161. 3 Divide -7 by -167. 7/167 Calculate -28 divided by 197. -28/197 4900 divided by 100 49 38 divided by 3 38/3 Calculate 208 divided by -3. -208/3 What is 2 divided by -255? -2/255 Divide 1 by 9. 1/9 8470 divided by 1694 5 What is 719 divided by -6? -719/6 Divide 3 by -100. -3/100 Divide 552 by -4. -138 20 divided by 5 4 Divide 5635 by -1127. -5 Calculate -13 divided by 15. -13/15 2 divided by -219 -2/219 75 divided by -3 -25 Divide 246 by -6. -41 What is -15 divided by 975? -1/65 Divide -16 by -39. 16/39 318 divided by 159 2 3 divided by 1008 1/336 3 divided by 3909 1/1303 What is 5076 divided by 54? 94 Divide 2 by 44. 1/22 Calculate 784 divided by -14. -56 What is 466 divided by 1? 466 Calculate -115 divided by 5. -23 What is -414 divided by 4? -207/2 Divide 2988 by 5. 2988/5 What is -11940 divided by -5? 2388 Divide -3885 by -7. 555 Divide 1 by -60. -1/60 Calculate -4803 divided by 1601. -3 Divide -15368 by -4. 3842 Calculate -22590 divided by -2259. 10 Divide 462 by 154. 3 4 divided by 71 4/71 Divide -6 by -47. 6/47 Divide -2 by -10. 1/5 Divide 1275 by 5. 255 Divide -10 by 21. -10/21 -1 divided by -45 1/45 What is 22 divided by 250? 11/125 Calculate 2454 divided by -1. -2454 What is 5 divided by -806? -5/806 Divide -4748 by -4. 1187 -3 divided by -46 3/46 Divide 59 by -14. -59/14 What is 8143 divided by 3? 8143/3 -141 divided by -4 141/4 Calculate 6877 divided by 1. 6877 7 divided by 224 1/32 7401 divided by -2467 -3 Divide 6174 by -6. -1029 What is 1374 divided by -6? -229 Divide -5940 by -33. 180 What is -68 divided by -17? 4 Divide 13 by -26. -1/2 Calculate -210 divided by 2. -105 Calculate 3 divided by 17. 3/17 Divide 0 by 1037. 0 0 divided by -1192 0 What is 2502 divided by -834? -3 -3 divided by 136 -3/136 What is 1 divided by 183? 1/183 What is 180 divided by 9? 20 What is -3 divided by -15? 1/5 -465 divided by -93 5 What is -1521 divided by 13? -117 Calculate 22064 divided by 4. 5516 Calculate -3760 divided by 1. -3760 -1235 divided by -5 247 What is 45 divided by -15? -3 12792 divided by -12 -1066 Divide 84 by 33. 28/11 -5610 divided by 3 -1870 What is 115 divided by -60? -23/12 2 divided by 435 2/435 What is -73 divided by -1? 73 What is 3334 divided by -2? -1667 What is 345 divided by -50? -69/10 Divide -1095 by -219. 5 Divide 235 by 16. 235/16 Calculate -81 divided by 5. -81/5 -2 divided by 1814 -1/907 Divide 32 by -5. -32/5 Calculate -6380 divided by 220. -29 -180 divided by 60 -3 Calculate 2993 divided by -5. -2993/5 Divide 2 by 1807. 2/1807 What is 2 divided by -222? -1/111 What is -215 divided by 43? -5 Calculate 138 divided by -6. -23 What is -1103 divided by -8? 1103/8 What is -7 divided by -79? 7/79 Divide 5 by -27. -5/27 Calculate 3972 divided by -12. -331 Calculate -2224 divided by -2. 1112 What is -2408 divided by -1204? 2 Calculate -451 divided by 5. -451/5 What is 672 divided by 96? 7 What is 262 divided by -10? -131/5 -4590 divided by -6 765 248 divided by 31 8 Divide -12280 by 5. -2456 What is -3768 divided by 24? -157 Divide -40 by -30. 4/3 What is 1200 divided by -5? -240 70 divided by -14 -5 0 divided by 68 0 Calculate 46 divided by -1. -46 Calculate 0 divided by -694. 0 Calculate -3572 divided by 76. -47 Divide 7458 by -11. -678 Calculate 678 divided by -6. -113 What is -26140 divided by 5? -5228 -672 divided by -224 3 34 divided by -58 -17/29 Divide -2 by -21. 2/21 Divide 100 by -100. -1 What is 1676 divided by -838? -2 Divide 1 by -97. -1/97 Calculate -30685 divided by -17. 1805 What is 4 divided by 351? 4/351 What is 450 divided by 90? 5 62 divided by 31 2 Calculate -9 divided by 3. -3 What is 4 divided by 158? 2/79 -264 divided by 66 -4 What is 56 divided by -4? -14 Divide 0 by -509. 0 Calculate 0 divided by 351. 0 Divide 3 by -414. -1/138 -1 divided by 80 -1/80 What is -1 divided by -337? 1/337 What is -670 divided by -10? 67 -86 divided by 86 -1 -3260 divided by 652 -5 Divide 4 by -23. -4/23 -4267 divided by -17 251 Calculate 3 divided by -25. -3/25 777 divided by -17 -777/17 Calculate 9 divided by -177. -3/59 1049 divided by 3 1049/3 230 divided by -1 -230 What is 4048 divided by 23? 176 Calculate 5 divided by -10. -1/2 5570 divided by 5 1114 -9 divided by 67 -9/67 What is -32325 divided by 5? -6465 Divide 2275 by -91. -25 Calculate 9573 divided by -3. -3191 Calculate -3 divided by 20. -3/20 Calculate 6 divided by -1779. -2/593 Divide -11488 by 3. -11488/3 Divide 2316 by -3. -772 448 divided by 32 14 Calculate 1883 divided by 2. 1883/2 Calculate 168 divided by -4. -42 Divide -1 by -107. 1/107 8256 divided by -4 -2064 What is -141 divided by -45? 47/15 228 divided by -76 -3 32 divided by -32 -1 Divide 4 by 6. 2/3 19 divided by -3 -19/3 Calculate 224 divided by -32. -7 Calculate -71 divided by 5. -71/5 Divide -7 by 3. -7/3 174 divided by 29 6 What is 12206 divided by -359? -34 Calculate 15 divided by 3. 5 Calculate -54 divided by -6. 9 What is -23782 divided by -2? 11891 3 divided by 1999 3/1999 -2 divided by 699 -2/699 -348 divided by 87 -4 362 divided by 31 362/31 Divide 0 by 93. 0 What is -132 divided by 3? -44 -696 divided by 24 -29 -8140 divided by -4 2035 -5 divided by -150 1/30 What is -5 divided by -119? 5/119 What is 1380 divided by 3? 460 138 divided by -42 -23/7 What is -984 divided by -246? 4 Divide 1 by -31. -1/31 Calculate 947 divided by 9. 947/9 -25 divided by -87 25/87 Calculate 130086 divided by -6. -21681 What is -957 divided by 1? -957 53 divided by -3 -53/3 What is 755 divided by 151? 5 What is 8217 divided by 33? 249 What is 21 divided by 50? 21/50 -863 divided by -8 863/8 What is 276 divided by -92? -3 What is 20 divided by -5? -4 Calculate -1 divided by -39. 1/39 Calculate -92 divided by -2. 46 What is 2 divided by 391? 2/391 What is -864 divided by 3? -288 Divide -803 by -4. 803/4 What is -259 divided by 3? -259/3 What is -1086 divided by -5? 1086/5 -36 divided by -45 4/5 11394 divided by 3 3798 Calculate -4143 divided by 3. -1381 What is -165 divided by -5? 33 What is 3600 divided by 144? 25 What is 91 divided by -7? -13 What is 372 divided by 186? 2 18434 divided by 2 9217 What is -4 divided by 9? -4/9 Divide 3 by -16. -3/16 Divide -1752 by -4. 438 Divide -148 by 148. -1 3515 divided by -5 -703 What is -648 divided by 72? -9 What is -4 divided by -85? 4/85 -19980 divided by -5 3996 -22 divided by 279 -22/279 12 divided by 4 3 0 divided by -853 0 What is -1402 divided by -3? 1402/3 -697 divided by 2 -697/2 Calculate 15 divided by -7. -15/7 What is -1992 divided by 24? -83 What is 2121 divided by -7? -303 Calculate 6668 divided by -1. -6668 Calculate -190 divided by 38. -5 20914 divided by 6 10457/3 What is -16052 divided by -4? 4013 -2919 divided by 3 -973 Calculate -192 divided by -4. 48 2122 divided by -6 -1061/3 Calculate -5 divided by -749. 5/749 Calculate 215 divided by 5. 43 Divide -8 by 9. -8/9 Calculate 91 divided by -19. -91/19 What is 375 divided by 75? 5 What is 528 divided by 4? 132 Calculate 4 divided by 60. 1/15 0 divided by -7057 0 Calculate -2147 divided by 5. -2147/5 Divide -2870 by 35. -82 What is -1805 divided by -5? 361 What is 255 divided by 6? 85/2 What is 19 divided by -1? -19 What is -3654 divided by 29? -126 Divide 72 by 6. 12 Calculate 0 divided by -1781. 0 Calculate -1 divided by -85. 1/85 35 divided by -7 -5 What is -79 divided by -17? 79/17 Calculate -11 divided by -24. 11/24 -5 divided by 111 -5/111 Calculate -171 divided by 9. -19 -75 divided by -75 1 Divide 3 by 6510. 1/2170 Divide 4 by -2. -2 Calculate -188 divided by -24. 47/6 Calculate -525 divided by -25. 21 Divide -63693 by 3. -21231 -2511 divided by 31 -81 -528 divided by -22 24 What is -2 divided by -25? 2/25 What is -3 divided by 1056? -1/352 Calculate -43 divided by 6. -43/6 Divide -3 by 905. -3/905 0 divided by -737 0 Calculate 21 divided by -8. -21/8 -5 divided by 5 -1 Divide -675 by 15. -45 Divide 2967 by -989. -3 17 divided by -4 -17/4 What is -2 divided by 103? -2/103 Divide -2640 by -240. 11 14 divided by 14 1 Divide -53 by 149. -53/149 Divide 0 by -228. 0 Calculate -5 divided by 3292. -5/3292 Divide 7 by -81. -7/81 What is 421 divided by 5? 421/5 What is -1 divided by -38? 1/38 Divide -13 by 19. -13/19 Calculate 145 divided by 5. 29 Calculate
{ "pile_set_name": "DM Mathematics" }
4053? 4296 What comes next: -1270, -5124, -11556, -20566, -32154? -46320 What is the next term in 1024, 1022, 1048, 1114, 1232? 1414 What is next in 20882, 20862, 20842? 20822 What comes next: 416, 840, 1264, 1688, 2112? 2536 What comes next: -155, -266, -383, -506, -635, -770? -911 What comes next: 195, 243, 217, 81, -201, -665, -1347? -2283 What comes next: 23820, 47654, 71488, 95322? 119156 What is next in -66, -27, -20, -57, -150, -311, -552? -885 What is next in 1395650, 1395651, 1395652, 1395653, 1395654, 1395655? 1395656 What comes next: 4272, 8542, 12810, 17076, 21340, 25602? 29862 What comes next: -122, -66, -10, 46, 102, 158? 214 What is next in 57, 152, 235, 300, 341, 352, 327? 260 What comes next: 502, 659, 816, 973, 1130, 1287? 1444 What is the next term in -11658, -11653, -11648, -11643, -11638? -11633 What is next in -46, -427, -1456, -3457, -6754? -11671 What is the next term in -60, -70, -64, -36, 20, 110? 240 What comes next: 1541256, 1541249, 1541238, 1541223, 1541204, 1541181? 1541154 What is the next term in -6388, -12778, -19168? -25558 What is the next term in 35064, 140263, 315594, 561057, 876652, 1262379? 1718238 What comes next: 827620, 1655236, 2482852, 3310468, 4138084? 4965700 What is next in -704, -745, -844, -1031, -1336, -1789, -2420, -3259? -4336 What comes next: -73088, -73092, -73100, -73112, -73128, -73148, -73172? -73200 What is the next term in 742, 751, 782, 847, 958? 1127 What is next in 10737, 21479, 32223, 42969, 53717, 64467? 75219 What is next in 194, 273, 412, 617, 894? 1249 What comes next: 933, 3390, 10059, 23046, 44457, 76398, 120975, 180294? 256461 What is the next term in 15773, 31556, 47339? 63122 What is the next term in -5758, -5785, -5810, -5833, -5854, -5873, -5890? -5905 What is next in 96493, 96498, 96505, 96514? 96525 What is the next term in 16793, 16450, 16105, 15758, 15409, 15058? 14705 What is next in 659, 997, 1331, 1661, 1987? 2309 What is next in -7621, -15283, -22945, -30607, -38269, -45931? -53593 What is next in -48820, -97656, -146532, -195466, -244476? -293580 What is the next term in -1406, -1651, -1898, -2147, -2398, -2651, -2906? -3163 What is the next term in 228, 295, 422, 609, 856, 1163, 1530? 1957 What is the next term in -23, -35, -17, 49, 181, 397, 715? 1153 What comes next: -12, 20, 122, 330, 680, 1208, 1950? 2942 What comes next: 543, 2213, 4997, 8895, 13907? 20033 What is next in -7080, -14155, -21230, -28305, -35380? -42455 What is next in -3536, -7081, -10620, -14153? -17680 What is the next term in 10627, 21324, 32023, 42724, 53427? 64132 What is the next term in -2969, -5934, -8893, -11846, -14793, -17734, -20669? -23598 What is next in -2856059, -2856061, -2856063? -2856065 What is next in -37872, -37967, -38064, -38163, -38264, -38367, -38472? -38579 What comes next: -49492, -49485, -49474, -49459, -49440, -49417, -49390? -49359 What comes next: -16461, -16465, -16469, -16473, -16477? -16481 What is the next term in 2209, 2207, 2205, 2203, 2201? 2199 What comes next: 1787, 3561, 5319, 7061? 8787 What comes next: 444, 1757, 3956, 7047, 11036, 15929? 21732 What is next in -27, -33, -47, -69, -99? -137 What is the next term in -1050, -1017, -936, -783, -534? -165 What comes next: 3400, 7806, 12214, 16624, 21036, 25450? 29866 What is the next term in 3477738, 3477739, 3477740, 3477741, 3477742? 3477743 What is next in 807, 3206, 7205, 12810, 20027, 28862? 39321 What is next in -2523, -5038, -7519, -9960, -12355, -14698? -16983 What comes next: 21914, 87661, 197240, 350651? 547894 What comes next: -2993, -6008, -9021, -12020, -14993, -17928, -20813, -23636? -26385 What comes next: 17525, 70134, 157845, 280682, 438669, 631830, 860189? 1123770 What is next in 839, 3383, 7623, 13559? 21191 What is the next term in 2791, 3695, 4599, 5503, 6407, 7311? 8215 What is next in -31274, -31271, -31268, -31265? -31262 What comes next: -201, -1605, -5389, -12735, -24825, -42841? -67965 What is the next term in -15794, -15979, -16164, -16349? -16534 What is the next term in -365, -194, 267, 1162, 2635, 4830? 7891 What comes next: -4113, -4135, -4157? -4179 What is next in -1975, -4022, -6055, -8068, -10055, -12010, -13927, -15800? -17623 What is next in -82, -238, -536, -1006, -1678, -2582, -3748? -5206 What is next in -2090, -2073, -2042, -1991, -1914, -1805? -1658 What is next in -130, -236, -296, -304, -254, -140? 44 What is the next term in 199, 190, 197, 226, 283? 374 What is the next term in -636, -2006, -4256, -7380, -11372, -16226, -21936? -28496 What comes next: -1201, -2529, -3857, -5185, -6513? -7841 What is the next term in -1223449, -1223450, -1223451, -1223452? -1223453 What comes next: -3213, -3351, -3489? -3627 What is next in -156, -689, -1584, -2847, -4484, -6501? -8904 What comes next: -3463, -6914, -10365, -13816? -17267 What is the next term in 4077, 8131, 12185, 16239, 20293, 24347? 28401 What is the next term in -351, -251, -151, -51, 49, 149? 249 What is next in 682, 687, 728, 829, 1014, 1307, 1732? 2313 What is next in 140068, 280120, 420150, 560146, 700096, 839988, 979810, 1119550? 1259196 What is the next term in 1738, 1742, 1756, 1786, 1838, 1918, 2032, 2186? 2386 What comes next: -80567, -80572, -80573, -80570? -80563 What is next in -3372, -13428, -30174, -53616, -83760, -120612? -164178 What is next in 2626, 2545, 2416, 2239, 2014? 1741 What is next in 348046, 696093, 1044140, 1392187? 1740234 What is the next term in -81, -198, -347, -528? -741 What is next in -26829, -53626, -80423? -107220 What comes next: 74, 129, 184, 239, 294? 349 What comes next: -583009, -583005, -583001, -582997, -582993? -582989 What is next in 1639, 3262, 4887, 6514, 8143? 9774 What is next in -96208, -96224, -96240? -96256 What comes next: 2818317, 2818318, 2818319? 2818320 What comes next: 261, 979, 2175, 3849, 6001, 8631, 11739? 15325 What comes next: 369, 519, 669, 819, 969? 1119 What comes next: -173, -220, -277, -332, -373, -388? -365 What is the next term in 7422, 29679, 66770, 118695? 185454 What is next in 2005, 3996, 5985, 7972, 9957, 11940, 13921? 15900 What is the next term in -1706, -2391, -3076? -3761 What is the next term in 567704, 1135410, 1703116, 2270822, 2838528, 3406234? 3973940 What comes next: -76957, -76959, -76963, -76969, -76977, -76987? -76999 What is next in 33170, 33165, 33156, 33143, 33126, 33105, 33080? 33051 What is the next term in 65, 235, 515, 911, 1429, 2075? 2855 What is next in -2124, -4244, -6374, -8520, -10688, -12884? -15114 What comes next: 192, 707, 1558, 2739, 4244, 6067, 8202, 10643? 13384 What comes next: -547, -1102, -1659, -2218? -2779 What is the next term in 882, 3375, 7478, 13191, 20514? 29447 What is next in -1341433, -1341428, -1341421, -1341412, -1341401, -1341388? -1341373 What comes next: -163, -648, -1453, -2578, -4023, -5788, -7873? -10278 What is next in -6, -3, 0, 3, 6, 9? 12 What comes next: 1675, 13195, 44445, 105289, 205591, 355215? 564025 What comes next: -233, -1194, -2815, -5102, -8061, -11698? -16019 What is next in -8, -12, -28, -56, -96, -148? -212 What is next in 32, 18, -16, -82, -192? -358 What is the next term in 838224, 3352883, 7543988, 13411545, 20955560, 30176039? 41072988 What is the next term in -122924, -245843, -368758, -491669? -614576 What comes next: 1139, 1151, 1167, 1187? 1211 What comes next: -73, -522, -1269, -2314, -3657? -5298 What comes next: 300, 2496, 8476, 20130, 39348? 68020 What comes next: -18191, -18181, -18161, -18125, -18067? -17981 What is the next term in -110658, -221311, -331964, -442617, -553270, -663923? -774576 What is the next term in -302312, -604626, -906940, -1209254? -1511568 What is next in -132, 1, 362, 1065, 2224, 3953, 6366, 9577? 13700 What is next in -1870, -3727, -5546, -7309, -8998? -10595 What is the next term in -180, -493, -1068, -2031, -3508? -5625 What comes next: 110613, 442437, 995475, 1769727? 2765193 What is the next term in 1896, 1831, 1766, 1701? 1636 What is the next term in 3276, 6507, 9686, 12807, 15864, 18851, 21762, 24591? 27332 What is the next term in 735, 2735, 6067, 10731, 16727, 24055, 32715? 42707 What is the next term in -3178, -6390, -9636, -12916, -16230, -19578, -22960? -26376 What is the next term in -291, -1043, -2295
{ "pile_set_name": "DM Mathematics" }
= -2*h + 2. Let c be b(-2). What is c*f(x) + l*j(x)? 2*x Let m(i) = 2*i + 5. Let w(c) = 4*c + 9. Suppose 6*k + 6 = 9*k. Suppose -5 = -a - z, -k*z - 45 = -5*a + 3*z. Determine a*m(u) - 4*w(u). -2*u - 1 Suppose -50 = 2*b - 56. Let x(o) = -28*o**2 - 20. Let y(w) = -4*w**2 - 3. What is b*x(l) - 20*y(l)? -4*l**2 Let a(h) be the second derivative of -h**4/12 + h**2/2 - 3*h. Let b(c) = -c**3 - 6*c**2 - 2*c + 6. Give -6*a(l) + b(l). -l**3 - 2*l Let p(n) = 2*n**3 - 2*n**2. Let d(h) = -9*h**2 - 4. Let y(x) = x**3 + 10*x**2 + 5. Let m(k) = -5*d(k) - 4*y(k). Let c be 3/1*6/(-9). What is c*m(l) - 5*p(l)? -2*l**3 Let m(o) be the third derivative of -o**6/120 - o**5/12 - 5*o**4/24 + 5*o**3/6 - 20*o**2. Let r(d) = -d**3 - 4*d**2 - 4*d + 4. Calculate -4*m(j) + 5*r(j). -j**3 Let l(k) = 151*k**3 + 11*k**2 + 11*k + 11. Let s(r) = -30*r**3 - 2*r**2 - 2*r - 2. Calculate 2*l(m) + 11*s(m). -28*m**3 Let o(w) = -5*w + 4. Let a(d) = 4*d - 4. Calculate 4*a(t) + 3*o(t). t - 4 Suppose 0 = 2*o + 4*w + 26, 3 = 3*o - 5*w - 2. Let j = o - -9. Let p(b) = -b**2 - b - 5. Let u(y) = y**2 + y + 4. What is j*p(x) + 5*u(x)? x**2 + x Let w(i) = 5*i**3 + i**2 - 2*i - 3. Let v(b) = 11*b**3 + 2*b**2 - 3*b - 5. What is 3*v(d) - 5*w(d)? 8*d**3 + d**2 + d Suppose -3*o = 3 - 6. Let i(j) = 3 - o + 0 + j**2 + j. Let y(h) = -h**2 - h - 3. Give -5*i(u) - 4*y(u). -u**2 - u + 2 Let o(g) = -2*g**2 + 2*g. Let v(x) = x**2 + 6*x + 6. Let w be v(-4). Let b(m) = m - 1. Determine w*b(a) + o(a). -2*a**2 + 2 Let q(y) = -y**2 + 3*y - 1. Let z(l) = -l**2 - l - 1. What is -q(v) - z(v)? 2*v**2 - 2*v + 2 Let u(o) = 4*o**2 - o - 4. Let p(k) = -k**2 + 1. Calculate -2*p(c) - u(c). -2*c**2 + c + 2 Let u(s) = 5*s + 2. Suppose -4*k - 29 = -5. Let j(i) = i. Give k*j(h) + u(h). -h + 2 Let q(f) = 8*f**3 - 5. Let n(p) = 7*p**3 - 6. Give 5*n(d) - 6*q(d). -13*d**3 Let q(v) = 8*v**3 - 2*v. Let c(r) = -7*r**3 + 2*r. Calculate -4*c(m) - 3*q(m). 4*m**3 - 2*m Let w(k) = 13*k**2 - 9*k + 7. Let r be (2/(-7))/((-1)/7). Let g(j) be the first derivative of -3 - 4*j - 7/3*j**3 + 5/2*j**r. Determine -11*g(u) - 6*w(u). -u**2 - u + 2 Let g(v) = -2*v**2 - 2*v + 15. Let a(k) = 2*k**2 + 2*k - 16. Calculate 3*a(s) + 4*g(s). -2*s**2 - 2*s + 12 Let m(h) = -9*h**3 - h**2 + 5*h - 4. Let k(x) = -17*x**3 - 2*x**2 + 9*x - 7. Let f(r) = 4*k(r) - 7*m(r). Let j(i) = i**3. What is -f(d) - 3*j(d)? 2*d**3 + d**2 - d Suppose 5*m - u = -0*u + 9, -5*m = u - 11. Suppose m*d - 14 = -2. Let f(p) = -p**2 - 6*p. Let n(a) = -a**2 - 7*a. Determine d*f(y) - 5*n(y). -y**2 - y Let x(t) = 1. Let u(r) = -4*r - 2. Give -u(n) - 8*x(n). 4*n - 6 Let j(f) = -5*f. Let n be (-2)/(-2)*(0 - -7). Suppose 4*d + c - 2*c = -10, n = -3*d + c. Let o(b) = -2*b - 4*b - 8*b. Calculate d*o(m) + 8*j(m). 2*m Let m(a) be the first derivative of 2 + 2/3*a**3 + 1/2*a**2 + 0*a. Let o(c) be the third derivative of -c**4/24 - 3*c**2. Calculate m(j) - o(j). 2*j**2 + 2*j Let s(g) be the second derivative of -5*g**4/3 - 15*g**2/2 - 37*g. Let p(f) = -5*f**2 - 4. What is -15*p(l) + 4*s(l)? -5*l**2 Let w(i) = 5*i**2 - 6*i + 6. Let c(h) be the first derivative of -1/2*h**2 - 1 + 1/3*h**3 + h. Suppose 4 = m - f, 2*m - 9 = -m + 2*f. Determine m*w(t) - 6*c(t). -t**2 Let b(k) = 6*k + 7. Let o(z) = -z**2 - 7*z - 8. Calculate 6*b(d) + 5*o(d). -5*d**2 + d + 2 Let s(r) = 7*r**3 - r**2 - 6*r - 6. Let l(f) = 22*f**3 - 2*f**2 - 17*f - 17. What is -6*l(v) + 17*s(v)? -13*v**3 - 5*v**2 Let j = -17 + 20. Let a(n) be the third derivative of -1/15*n**5 - 13/24*n**4 + 2*n**2 + 0 + 0*n + 0*n**j. Let h(i) = 3*i**2 + 9*i. Calculate 5*a(x) + 7*h(x). x**2 - 2*x Let l(v) = 3*v**3 + 2*v - 7. Let h(f) = 8*f**3 + 6*f - 20. Let i = 69 - 83. What is i*l(k) + 5*h(k)? -2*k**3 + 2*k - 2 Let j(m) = -4*m**3 + 16*m. Let z(q) = -9*q**3 + 31*q - 1. Give -5*j(g) + 2*z(g). 2*g**3 - 18*g - 2 Let v(w) be the first derivative of w**2/2 + 3*w + 1. Let u(i) = 7*i + 4. Let a(g) = 4*g + 2. Let q(k) = 5*a(k) - 3*u(k). Determine -5*q(x) - 3*v(x). 2*x + 1 Let d(m) = -m - 11. Let o(n) = -2*n - 11. What is -4*d(l) + 3*o(l)? -2*l + 11 Let g(h) = -4*h + 3*h - 2 + 3. Let k(q) = -4*q - 6 + 6*q + 2*q. What is -5*g(t) - k(t)? t + 1 Let l(p) be the second derivative of 3*p**5/20 + 5*p**3/6 - 2*p. Let k(t) = -2 + 6*t + 4*t**3 + 2. Give -5*k(r) + 6*l(r). -2*r**3 Let j(x) = -x**3 - 2*x**2 - 2*x + 1. Let t(k) = -k**3 - k**2 - 1. Determine j(r) - 2*t(r). r**3 - 2*r + 3 Let j(a) = -a**3 - a**2 + a + 1. Let v be j(0). Let z(c) = -c**3 - 2. Let d(g) = -1. What is v*z(h) - 2*d(h)? -h**3 Let u(v) = -8*v - 8. Let h(l) = -9*l - 7. Determine -6*h(p) + 5*u(p). 14*p + 2 Let u(c) = 22*c + 12. Let q(a) = -9*a - 5. Let k(d) = -12*q(d) - 5*u(d). Let b(x) = 2*x. Let w(h) = -h**2 - 3*h + 1. Let r be w(-3). Give r*k(l) + 2*b(l). 2*l Let l(z) = -5*z - 1. Let t(s) = -s. What is -2*l(g) + 11*t(g)? -g + 2 Let p(g) = -3*g**2 - 2*g + 2. Let y be p(-2). Let w(d) = 9 + 0*d - 5*d - 1. Let s(c) be the first derivative of 7*c**2 - 23*c - 2. Calculate y*s(r) - 17*w(r). r + 2 Let f(h) = 7*h**2 - 9*h + 7. Let m(s) = -5*s + 22. Let t be m(4). Let w(u) = 3*u**2 - 4*u + 3. Give t*f(c) - 5*w(c). -c**2 + 2*c - 1 Suppose 4 = -s + 9. Let k(v) = -2 - 1 + s*v + 3. Let r(n) = 4*n - 3*n - 2*n. Give -k(d) - 6*r(d). d Let c(r) = 43*r - 4. Let n(t) = -44*t + 5. Determine 5*c(g) + 4*n(g). 39*g Let n(c) = -6*c**2 + 2*c. Let j(m) = 11*m**2 - 3*m + 1. Let h(v) = -4*j(v) - 7*n(v). Let a(r) = 2*r**2 + 3*r + 5. What is 3*a(i) + 4*h(i)? -2*i**2 + i - 1 Let m(s) be the third derivative of -7*s**5/30 + 17*s**4/24 - 5*s**3/6 - 11*s**2 + 1. Let b(y) = -5*y**2 + 6*y - 2. What is 17*b(h) - 6*m(h)? -h**2 - 4 Let z(i) = 4*i**3 - 4*i**2 + 2*i - 6. Let s(j) = -3*j**3 + 3*j**2 - 2*j + 5. Let y be (-3)/(-6)*-6 + 9. What is y*s(a) + 5*z(a)? 2*a**3 - 2*a**2 - 2*a Suppose -2*l + 108 = 28. Suppose -6*t = -t - l. Let i(f) = -7*f + 7. Let v(a) = 11*a - 11. Determine t*i(c) + 5*v(c). -c + 1 Let v(u) = -7*u**2 - u. Let f(t) = -14*t**2 - 2*t. Determine 2*f(k) - 5*v(k). 7*k**2 + k Let k(b) be the third derivative of 0*b - b**2 + 1/4*b**4 + 0 + 1/2*b**3. Let m(h) = -2*h - 1. Suppose -33 = -0*r + 3*r. Determine r*m(g) - 4*k(g). -2*g - 1 Let y(c) = -11*c - 6. Let j(f) = -221*f - 119. Calculate -6*j(h) + 119*y(h). 17*h Suppose 226 = 17*p - 63. Let g(h) = -23*h**2 + 20*h - 6. Let d(b) be the second derivative of 2*b**4/3 - 7*b**3/6 + b**2 + b. What is p*d(x) + 6*g(x)? -2*x**2 + x - 2 Suppose 0*j - j = 4*l - 26, -4*j + 29 = l. Let o be j*3/6 + -6. Let f(x) = -x**2 + x. Let c(i) = 2*i**2 - 3*i + 1. Calculate o*f(b) - c(b). b**2 - 1 Suppose 0*t + 5*t = 0. Let i be t + (3 - 4) - 1. Let u(s) = s + 3. Let o(g) = 1. Let c(d) = -2. Let k(l) = -2*c(l) - 3*o(l). What is i*u(p) + 5*k(p)? -2*p - 1 Let u = -21 + 24. Let h be (-16)/u - (-3)/9. Let d(l) = l**3 + 4*l**2 - 4*l + 4. Let k(o) = -o**3 - o**2 + 3 - 8 + 5*o - 4*o**2. What is h*d(s) - 4*k(s)? -s**3 Let q(m) = -m**2 + 1. Let t(v) = -v**3 + 4*v**2 + 4*v - 4. What is -4*q(i) - t(i)? i**3 - 4*i Let w(y) = -9*y**3 - 21*y**2 - 21. Suppose p + 36 = 15. Let s(d) = 2*d**3 + 5*d**2 + 5. Determine p*s(f) - 5*w(f). 3*f**3 Let x(r) = r**3 + 1. Let d(p) = -7*p**3 - 3. Calculate 2*d(s) + 6*x(s). -8*s**3 Let r = 3 + -5. Let y(t) be the first derivative of t**4/4 - 5*t**3/3 + 13*t**2/2 - 9*t + 2. Let m(z) = -z**2 + 3*z - 2. Give r*y(a) + 9*m(a). -2*a**3 + a**2 + a Let t(y) = 13*y**2 - 21*y + 1. Let r(b) = 4*b**2 - 7*b. Calculate 7*r(c) - 2*t(c). 2*c**2 - 7*c - 2 Let y(i) be the first derivative of 2*i**3/3 + 12*i - 3. Suppose -2*j + j = -w, 4*j + 10 = 2*w. Let x(b) = -5 + b - b**2 - b. What is w*y(f) - 12*x(f)? 2*f**2 Let p(t) = 5*t + 1. Suppose 5*d + 5*n - 19 = 146, 0 = -2*d + n + 72. Suppose 6*b - b = -d. Let z(i) = -9*i - 2. What is b*p(l) - 4*z(l)? l + 1 Let q(l) be the third derivative of -l**5/30 + 5*l**4/24 - 2*l**3/3 - l**2. Let f(r) = -r**2 + r - 1. Give -4*f(j) + q(j). 2*j**2 + j Let t(s) = -13 + 12 + 4 - s. Let m(n) = -5*n + 16. Give 2*m(q) - 11*t(q). q - 1 Let q(i) = -16*i - 2. Let g(z) = 8*z + 1. Determine 10*g(l) + 4*q(l). 16*l + 2 Let w(k) = 3*k - 9*k**2 + 10*k**2 - 3*k. Let q = 10 + -12. Let i(a) = 3*a**2 + 2. Determine q*w(j) + i(j). j**2 + 2 Let i(j) be the second derivative of -7*j**5/20 + 5*j**4/12 - 10*j. Let b(o) be the second derivative of 3*o**5/20 - o**4/6 - o. Determine -10*b(v) - 4
{ "pile_set_name": "DM Mathematics" }
595 times 0.4 0.238 What is the product of -8071 and 0? 0 Product of -409 and 3. -1227 Multiply 0.5 and -297. -148.5 3 * -44 -132 Calculate -0.5*0.341. -0.1705 -129*0.4 -51.6 What is the product of -4 and -0.0435? 0.174 Work out 7 * -34.6. -242.2 Multiply -5 and -285. 1425 26385 times -0.3 -7915.5 Product of 1.9 and 3. 5.7 What is the product of 908 and -4? -3632 What is the product of 1.8 and -1.7? -3.06 Product of 0.01771 and -0.3. -0.005313 7 times -0.273 -1.911 -3502*-0.1 350.2 What is the product of 5 and -230? -1150 Calculate 0.4*-0.33. -0.132 Calculate 1*36. 36 What is the product of -0.1 and -0.094? 0.0094 Work out 490 * -23. -11270 What is the product of -21000 and 4? -84000 Product of 0.043 and -0.95. -0.04085 Calculate -20*86. -1720 Calculate -41*-0.03. 1.23 What is the product of 1048 and 0.2? 209.6 Work out -3 * 17.9. -53.7 Product of -0.08 and 121. -9.68 Multiply 4.3 and -0.1. -0.43 Multiply -0.89 and 2. -1.78 -2 times 388 -776 -0.8 times 0.24 -0.192 0.1 times 934 93.4 -0.06*0.211 -0.01266 What is 0.3 times 428? 128.4 Product of 0.556 and 0.012. 0.006672 29 times 434 12586 3 * -84 -252 Product of 0.08 and -4. -0.32 Product of -0.04161 and 0. 0 Product of 15 and 0.36. 5.4 Product of -54 and -0.1. 5.4 Product of 41 and 6. 246 Multiply -0.6 and -235. 141 What is 18.6 times -15? -279 -1.33*-0.2 0.266 Multiply 3.744 and -2. -7.488 0.04 times 222 8.88 Multiply 69 and 31. 2139 3215 * 5 16075 207 * 0.4 82.8 Work out -0.6 * 2.6. -1.56 -1.2*-0.1 0.12 5 * 1.13 5.65 -0.34 times 5.1 -1.734 Multiply -1 and 24. -24 -0.9 times -0.491 0.4419 Multiply -2 and -27.3. 54.6 -35 times -2 70 Calculate 3*43. 129 Multiply 215 and 0.4. 86 Work out -131 * -1.2. 157.2 -1.76 * -4 7.04 -5 * -87 435 104 * 0.04 4.16 What is the product of -4127 and 0? 0 Multiply 0.2 and -151. -30.2 Product of -0.3 and -0.02. 0.006 What is the product of 0.066 and 0.051? 0.003366 Multiply 260 and 57. 14820 What is 0.5 times 6.7? 3.35 Multiply -1 and 0.0848. -0.0848 What is the product of -3 and -4371? 13113 Multiply -4566 and -0.1. 456.6 What is -272 times -2? 544 Product of -1 and -0.0024. 0.0024 0.5*2.412 1.206 5*-1395 -6975 -1*-17 17 What is the product of 4 and -247.7? -990.8 What is the product of -1.27 and 96? -121.92 Calculate 0*1.34. 0 Work out -50.1 * 0.1. -5.01 5.7 * -0.4 -2.28 Product of -5.816 and 0.1. -0.5816 -8*-1603 12824 -0.017 times 23 -0.391 Multiply -217 and -5. 1085 18.8 * 0.026 0.4888 -0.15 times 377 -56.55 What is the product of -66 and 0.043? -2.838 What is the product of -6.15 and -4? 24.6 What is the product of 0.01 and 33? 0.33 Multiply 0.005 and -0.1. -0.0005 0.2 times 204 40.8 Product of 18.4 and -0.02. -0.368 Product of 24 and 0.26. 6.24 -0.09 times -1138 102.42 1 * -34 -34 Multiply -1 and 4.359. -4.359 Multiply 5 and 835. 4175 Work out -0.07 * 0. 0 -437 times 0.3 -131.1 Calculate 8.84*0.1. 0.884 What is 1.18 times -0.3? -0.354 Multiply 0.15 and 1.3. 0.195 Work out 5 * -2775. -13875 What is the product of 0.04 and -1.6? -0.064 What is 2 times 62.62? 125.24 Multiply 0.05 and 0.0163. 0.000815 Calculate -7.2*2. -14.4 What is 0.02 times 15.69? 0.3138 0.32 times -28 -8.96 What is the product of -211 and 0? 0 -5*60 -300 What is 4 times -248? -992 Calculate 0.3*0.051. 0.0153 Calculate 556*-30. -16680 Work out 0.2 * -99. -19.8 What is 0 times -41? 0 Work out 6 * -5.7. -34.2 Product of -1.42 and 4. -5.68 Product of -236.45 and 0.5. -118.225 Work out 0.92 * -3. -2.76 Product of 6.5 and 11.2. 72.8 -3.4 times 0.05 -0.17 What is the product of -0.3 and 587? -176.1 Calculate -830*0.4. -332 Product of -19757 and 4. -79028 Work out 0.079 * 2. 0.158 Product of -0.49318 and 0. 0 Calculate 2*-56. -112 1 * -1.8 -1.8 Calculate 621*0.1. 62.1 0.0386 times -0.2 -0.00772 What is 53 times -0.83? -43.99 Work out 100 * 0. 0 Work out 54 * -5. -270 What is the product of -0.3 and 0.3887? -0.11661 Product of 5.1 and -5. -25.5 3 times -775 -2325 Product of 1349 and -2. -2698 Calculate 7410*0.3. 2223 Product of 187.3 and -0.5. -93.65 What is the product of 3 and -0.0231? -0.0693 -0.2*-100 20 Work out -0.2 * -0.0856. 0.01712 -0.005*-84 0.42 Work out 37 * -0.1. -3.7 -0.3 * 0.23 -0.069 Work out -9.6 * 1. -9.6 What is the product of -1 and 0.95? -0.95 What is the product of -0.31 and 0.1? -0.031 Calculate -3*-0.013. 0.039 What is 1 times 509.5? 509.5 Work out -0.2 * -15. 3 -0.03*-64 1.92 Work out -0.4 * -591. 236.4 Calculate 75*-0.2. -15 Multiply 0.4 and -0.0293. -0.01172 Calculate 95*-20. -1900 Product of -76 and -24. 1824 Work out -500 * 0.2. -100 What is the product of -4 and -0.3? 1.2 Calculate -0.06*-9.9. 0.594 Multiply -5 and 0.75. -3.75 Multiply -0.03 and -48. 1.44 What is 281 times -0.12? -33.72 What is 20 times 2.1? 42 -0.073 times -2 0.146 -0.012 times 0.04 -0.00048 Work out 2 * 1.12. 2.24 Calculate 3.114*0.03. 0.09342 Calculate 5.3*0.3. 1.59 -0.8 * 0.023 -0.0184 Multiply 2 and 12.5. 25 -18 times 40 -720 Calculate 0.15*6.8. 1.02 What is the product of 3 and -45? -135 -0.8276 times 0.2 -0.16552 352 * -0.1 -35.2 Product of 0.1 and 1718. 171.8 Multiply 193 and 8. 1544 Calculate -55.1*-0.09. 4.959 What is the product of 0.289 and -0.04? -0.01156 Product of 2 and 0.062. 0.124 What is 0.4 times 4.9? 1.96 3*47 141 Calculate 2.6*398. 1034.8 Product of -1 and 452. -452 What is the product of 127 and -0.01? -1.27 What is -0.1 times 0.09? -0.009 Multiply 12.45 and 0.5. 6.225 -2.91 * 0.3 -0.873 -4 * -169 676 -0.4 times 21.1 -8.44 Product of -0.9 and 0.43. -0.387 12 times 1 12 Calculate -9.1*-86. 782.6 What is the product of -226 and 0.1? -22.6 What is 2 times -1.66? -3.32 Calculate 10.53*0.4. 4.212 Multiply -32 and -0.05. 1.6 -33*0.5 -16.5 Product of 0.04 and 0.04. 0.0016 Work out -165.16 * 0.5. -82.58 Multiply 1 and -0.0505. -0.0505 33*3 99 -0.06*-167 10.02 What is the product of -2.53 and -1? 2.53 Multiply 1 and -3.91. -3.91 305 * 0.2 61 Product of -49.75 and -5. 248.75 What is -6 times -2.3? 13.8 Multiply 2.2 and 58. 127.6 Multiply -1.65 and -64. 105.6 Work out 0.5 * -98. -49 0.2 times -1183 -236.6 16.7*-3.3 -55.11 Product of 5.91 and 3. 17.73 What is -2 times 138? -276 -1 * 13 -13 Calculate 0.03052*0.4. 0.012208 Calculate -1422*-0.2. 284.4 What is -13 times 0.005? -0.065 Multiply 1.21 and -0.1. -0.121 Multiply 51 and 0.16. 8.16 What is 0.4499 times 0.2? 0.08998 0.5 * -0.162 -0.081 Product of -930 and -3. 2790 -2 times 0.3713 -0.7426 Product of -3 and 934. -2802 2847 times 0.4 1138.8 Calculate -2244*-0.06. 134.64 -45 times -2 90 Calculate -51*-0.7. 35.7 What is 59 times 2? 118 What is the product of -3 and 13.2? -39.6 Calculate -2*-31. 62 -1*-177 177 Calculate 61*13. 793 Calculate 0.82*-2. -1.64 What is 5 times -9.72? -48.6 -0.22*-25 5.5 Multiply -0.112 and -0.3. 0.0336 What is 0.26 times -11? -2.86 -0.4 * -2857 1142.8 -16.9*-1 16.9 What is the product of -0.105 and 1? -0.105 What is 0.3 times 164? 49.2 Product of 7 and -0.13. -0.91 -291 times -0.2 58.2 What is the product of 0 and 3070? 0 What is 2 times 30? 60 Product of 0.1 and 0.158. 0.0158 -39908*0.3 -11972.4 What is the product of 1072 and -1? -1072 What is 0.51 times 493? 251.43 201 * 40 8040 Work out -5.27 * -4. 21.08 Work out -0.0725 * -0.2. 0.0145 -1 * 2.41 -2.41 877*0.3 263.1 Product of -0.5 and -67. 33.5 -0.8*-0.5 0.4 -14.9 * -0.3 4.47 -8 * -3.8 30.4 Work out -142 * -1. 142 Calculate 0*-0.118. 0 Product of -1 and -67. 67 Product of -0.6 and 24. -14.4 Multiply 12 and 8.5. 102 -4*1.774 -7.096 3 times 495 1485 What is the product of 0.062 and -2? -0.124 Work out -5 * -3.9. 19.5 -0.19878 times -0.1 0.019878 Work out 536 * -0.15. -80.4 Work out -1 * 4.9. -4.9 Work out -0.2 * -34. 6.8 What is the product of -301 and 0.2? -60.2 Calculate 0.4*145.7. 58.28 Product of -0.1 and 0.5. -0.05 101*-24 -2424 107 times 0.3 32.1 Multiply -2 and 0.0994. -0.1988 Multiply -1 and -28. 28 -0.4938 times -4 1.9752 Work out -7 * 0.032. -0.224 What is 1.04 times 0.1? 0.104 Product of -127 and 129. -16383 Product of -970 and 4. -3880 What is 3228 times -0.5? -1614 What is the product of -0.2 and 1.206? -0.2412 25 times 0.39 9.75 Calculate 0.272*4. 1.088 Calculate -0.06*-359. 21.54 Product of 3.65 and 5. 18.25 0.171 * -0.15 -0.02565 -0.129*-2 0.258 Product of -0.02 and 26. -0.52 Product of 629 and 6. 3774 What is -0.4 times 26.26? -10.504 Product of
{ "pile_set_name": "DM Mathematics" }
te the remainder when 1567166 is divided by 313398. 176 Calculate the remainder when 106122 is divided by 20860. 1822 What is the remainder when 9817 is divided by 909? 727 Calculate the remainder when 529836 is divided by 132387. 288 Calculate the remainder when 247335987 is divided by 15. 12 What is the remainder when 2683825 is divided by 2828? 53 Calculate the remainder when 1406834 is divided by 553. 2 What is the remainder when 5783441 is divided by 3312? 689 Calculate the remainder when 2291651 is divided by 1145664. 323 Calculate the remainder when 459661 is divided by 41720. 741 What is the remainder when 24992453 is divided by 1482? 5 Calculate the remainder when 3009275 is divided by 33. 5 Calculate the remainder when 248600121 is divided by 79. 77 What is the remainder when 104125 is divided by 34437? 814 What is the remainder when 59998468 is divided by 41123? 11 Calculate the remainder when 148921 is divided by 795. 256 What is the remainder when 15248594 is divided by 17527? 104 What is the remainder when 284539 is divided by 9468? 499 Calculate the remainder when 126574 is divided by 396. 250 What is the remainder when 887462 is divided by 1568? 1542 What is the remainder when 21523 is divided by 122? 51 Calculate the remainder when 31498 is divided by 14865. 1768 Calculate the remainder when 17687415 is divided by 7158. 7155 Calculate the remainder when 159271 is divided by 19846. 503 What is the remainder when 9544029 is divided by 1570? 1569 Calculate the remainder when 6056654 is divided by 14. 2 Calculate the remainder when 22049 is divided by 14270. 7779 What is the remainder when 13821996 is divided by 3965? 6 What is the remainder when 8048790 is divided by 5745? 45 What is the remainder when 620134 is divided by 461? 89 What is the remainder when 21818419 is divided by 5141? 15 Calculate the remainder when 753588574 is divided by 4056. 4054 What is the remainder when 6237156 is divided by 1239? 30 Calculate the remainder when 29159 is divided by 6683. 2427 Calculate the remainder when 9824 is divided by 3269. 17 What is the remainder when 393727 is divided by 35792? 15 What is the remainder when 564505 is divided by 5116? 1745 Calculate the remainder when 53107 is divided by 3316. 51 Calculate the remainder when 61191 is divided by 2607. 1230 What is the remainder when 112912 is divided by 150? 112 What is the remainder when 76188 is divided by 10713? 1197 Calculate the remainder when 76528473 is divided by 1955. 1953 Calculate the remainder when 366189 is divided by 27. 15 Calculate the remainder when 938922962 is divided by 307. 302 Calculate the remainder when 37757217 is divided by 147489. 33 What is the remainder when 1504400 is divided by 148? 128 What is the remainder when 300182661 is divided by 1454? 1453 Calculate the remainder when 73662 is divided by 50. 12 Calculate the remainder when 1984919 is divided by 863. 19 Calculate the remainder when 3064730 is divided by 69650. 130 What is the remainder when 1071191 is divided by 26126? 25 What is the remainder when 546586 is divided by 28759? 165 Calculate the remainder when 462871 is divided by 10560. 8791 What is the remainder when 905656 is divided by 4742? 4676 What is the remainder when 10514909 is divided by 40? 29 Calculate the remainder when 67273 is divided by 109. 20 What is the remainder when 2735213 is divided by 683766? 149 What is the remainder when 81822644 is divided by 111? 104 Calculate the remainder when 1042603 is divided by 12. 7 Calculate the remainder when 3894302 is divided by 486745. 342 What is the remainder when 457099 is divided by 252? 223 Calculate the remainder when 2370645 is divided by 9. 0 Calculate the remainder when 836200 is divided by 209. 200 What is the remainder when 191292 is divided by 20792? 4164 What is the remainder when 786743 is divided by 393360? 23 Calculate the remainder when 5531398 is divided by 2520. 2518 Calculate the remainder when 9415775 is divided by 9717. 2 Calculate the remainder when 521750 is divided by 173897. 59 What is the remainder when 598887 is divided by 199530? 297 What is the remainder when 5912026 is divided by 8234? 14 Calculate the remainder when 11626546 is divided by 61. 7 Calculate the remainder when 141478 is divided by 442. 38 What is the remainder when 145500 is divided by 1427? 1373 What is the remainder when 7505236 is divided by 300209? 11 Calculate the remainder when 1663556 is divided by 259. 258 What is the remainder when 26527120 is divided by 926? 924 Calculate the remainder when 1615998 is divided by 148. 134 Calculate the remainder when 37861421 is divided by 740. 61 What is the remainder when 1776171 is divided by 53823? 12 Calculate the remainder when 15920693 is divided by 4. 1 What is the remainder when 116926863 is divided by 89? 87 Calculate the remainder when 5536357 is divided by 1724. 593 What is the remainder when 345490541 is divided by 1889? 1886 Calculate the remainder when 118703 is divided by 39529. 116 What is the remainder when 1961649 is divided by 1167? 1089 What is the remainder when 461044 is divided by 229526? 1992 What is the remainder when 624279 is divided by 107? 41 What is the remainder when 11859990 is divided by 2909? 2906 What is the remainder when 1854922 is divided by 463452? 1114 Calculate the remainder when 1456151 is divided by 7. 4 What is the remainder when 6607832 is divided by 429? 374 Calculate the remainder when 2184406 is divided by 30763. 233 Calculate the remainder when 28569 is divided by 6872. 1081 What is the remainder when 277930 is divided by 138914? 102 Calculate the remainder when 16608 is divided by 3313. 43 Calculate the remainder when 5621542 is divided by 218. 194 Calculate the remainder when 338147 is divided by 168. 131 What is the remainder when 118024323 is divided by 8430308? 11 What is the remainder when 1360186 is divided by 57? 52 Calculate the remainder when 31921703 is divided by 37. 27 What is the remainder when 338528 is divided by 17? 7 What is the remainder when 14540458 is divided by 1211? 1192 What is the remainder when 37219665 is divided by 386? 1 What is the remainder when 149810 is divided by 28? 10 Calculate the remainder when 7556859 is divided by 2363. 2348 What is the remainder when 3595309 is divided by 251? 236 What is the remainder when 338436 is divided by 42291? 108 Calculate the remainder when 2067500 is divided by 8760. 140 Calculate the remainder when 940452 is divided by 131. 3 What is the remainder when 130411549 is divided by 13878? 13861 What is the remainder when 7771502 is divided by 33789? 32 What is the remainder when 296343775 is divided by 3424? 3423 Calculate the remainder when 297063216 is divided by 61. 48 Calculate the remainder when 427661 is divided by 1061. 78 Calculate the remainder when 278116115 is divided by 5793. 5771 Calculate the remainder when 191783 is divided by 1042. 55 Calculate the remainder when 840962 is divided by 1196. 174 What is the remainder when 11580829 is divided by 45415? 4 What is the remainder when 18661518 is divided by 907? 900 What is the remainder when 15159666 is divided by 5053206? 48 Calculate the remainder when 3070124 is divided by 1953. 8 Calculate the remainder when 3130707 is divided by 23. 16 Calculate the remainder when 76601177 is divided by 683. 678 Calculate the remainder when 84249 is divided by 161. 46 Calculate the remainder when 2063870 is divided by 1377. 1124 What is the remainder when 1166418 is divided by 109? 9 Calculate the remainder when 47314641 is divided by 39103. 11 Calculate the remainder when 2448503 is divided by 1224243. 17 Calculate the remainder when 248393353 is divided by 1645. 1643 What is the remainder when 103676 is divided by 2033? 2026 What is the remainder when 4920355 is divided by 683? 23 What is the remainder when 15858 is divided by 998? 888 Calculate the remainder when 3473755 is divided by 26. 25 What is the remainder when 273064 is divided by 3792? 40 Calculate the remainder when 5685615 is divided by 1895165. 120 What is the remainder when 162138268 is divided by 138? 136 Calculate the remainder when 33767 is divided by 15667. 2433 Calculate the remainder when 745400 is divided by 6212.
{ "pile_set_name": "DM Mathematics" }
40 divided by 302. 20 23 divided by 4 23/4 7282 divided by -3641 -2 Calculate 42 divided by 7. 6 Divide -4 by -1100. 1/275 Calculate 5 divided by -973. -5/973 Calculate 2 divided by 124. 1/62 What is -336 divided by 84? -4 -8496 divided by -4 2124 Calculate 2943 divided by 3. 981 What is -3960 divided by -2? 1980 Calculate 4 divided by 3551. 4/3551 Calculate -3 divided by -2. 3/2 -486 divided by 486 -1 Calculate 3 divided by -41. -3/41 Calculate 2064 divided by -3. -688 -864 divided by -5 864/5 Calculate 8 divided by 29. 8/29 Divide 12 by 13. 12/13 Calculate 17865 divided by 45. 397 What is -83 divided by 23? -83/23 -710 divided by -71 10 What is 26668 divided by -3? -26668/3 Divide -12 by -12. 1 What is 1464 divided by -183? -8 Divide -536 by 5. -536/5 145 divided by 1 145 -3550 divided by 71 -50 Divide -3992 by 8. -499 What is -564 divided by -6? 94 Divide 35 by 348. 35/348 What is -133 divided by 63? -19/9 What is 438 divided by 3? 146 Calculate -65 divided by -13. 5 What is -2067 divided by -4? 2067/4 Calculate -50 divided by 593. -50/593 -8 divided by -199 8/199 What is -2472 divided by 2? -1236 Divide 4 by -2891. -4/2891 1190 divided by 85 14 Divide -1074 by 6. -179 Calculate 102 divided by 2. 51 Divide 1036 by 7. 148 Divide 144 by 8. 18 Calculate 1679 divided by 1. 1679 60 divided by 3 20 630 divided by 42 15 Calculate -5 divided by 11. -5/11 Divide 1056 by 44. 24 Calculate 26 divided by 1. 26 -21045 divided by -5 4209 Calculate 4 divided by -33. -4/33 Calculate 4098 divided by -2. -2049 What is 0 divided by -1955? 0 Calculate 146 divided by 31. 146/31 What is 450 divided by -5? -90 What is 256 divided by -16? -16 -5 divided by 427 -5/427 -241 divided by 2 -241/2 What is -29372 divided by -1? 29372 Calculate 977 divided by 2. 977/2 What is -8 divided by -19? 8/19 What is -772 divided by -1? 772 Divide -258 by -258. 1 -600 divided by -4 150 What is 236 divided by 59? 4 Divide -6484 by -3242. 2 Calculate 1416 divided by -24. -59 What is 489 divided by 1? 489 Calculate -3259 divided by 2. -3259/2 -372 divided by 93 -4 174 divided by 29 6 0 divided by -11 0 411 divided by -6 -137/2 Calculate -13 divided by 13. -1 -44 divided by 60 -11/15 Calculate 759 divided by -3. -253 Calculate -11908 divided by -2977. 4 Calculate 2264 divided by -2. -1132 Calculate 1 divided by -31. -1/31 Divide -4 by -63. 4/63 Divide 678 by -339. -2 Divide 424 by 106. 4 -9 divided by -10 9/10 -133 divided by -19 7 What is 596 divided by -2? -298 What is -3084 divided by 1? -3084 Calculate 93 divided by 35. 93/35 -658 divided by 329 -2 Divide -540 by 27. -20 What is -66 divided by 33? -2 Divide -100 by 10. -10 What is -102 divided by 4? -51/2 2688 divided by -112 -24 Calculate -180 divided by 6. -30 Calculate -22 divided by 18. -11/9 Calculate 1164 divided by -97. -12 Divide 1420 by -355. -4 Calculate 82 divided by 377. 82/377 Divide -4 by -10. 2/5 -1634 divided by 38 -43 Divide 0 by -6. 0 Calculate 174 divided by 3. 58 Divide 4196 by -4196. -1 1 divided by 1989 1/1989 14 divided by -2 -7 Divide -860 by 172. -5 Divide -1170 by 30. -39 3100 divided by -124 -25 4235 divided by 2 4235/2 Divide 72 by -8. -9 Calculate -14 divided by -10. 7/5 What is 0 divided by 103? 0 -448 divided by -2 224 Calculate -16 divided by -8. 2 Divide 2146 by -2. -1073 What is -576 divided by -16? 36 Calculate 2475 divided by -5. -495 What is -3140 divided by -20? 157 -2200 divided by -8 275 What is 44 divided by 3? 44/3 5 divided by 107 5/107 Calculate -459 divided by -1. 459 Divide -6400 by 800. -8 Calculate 5 divided by 374. 5/374 Calculate -261 divided by 87. -3 Calculate 49 divided by 5. 49/5 What is -8 divided by 13? -8/13 Calculate -1447 divided by 1. -1447 Divide 176 by -2. -88 -78 divided by 251 -78/251 Divide 1175 by 235. 5 Divide -1089 by -363. 3 Divide 117 by -4. -117/4 What is -2 divided by 3328? -1/1664 What is -486 divided by 6? -81 747 divided by 83 9 What is 29 divided by -1? -29 What is 2 divided by 6? 1/3 Divide 281 by 9. 281/9 Calculate 1300 divided by -13. -100 Calculate 1 divided by -143. -1/143 What is -8324 divided by -2081? 4 -5 divided by 379 -5/379 1260 divided by -36 -35 147 divided by 1 147 -559 divided by -13 43 Calculate -29 divided by -4. 29/4 -27 divided by 14 -27/14 Calculate 158 divided by -19. -158/19 -6 divided by -147 2/49 -320 divided by -4 80 What is 124734 divided by 6? 20789 -98 divided by 2 -49 Divide 4239 by 4. 4239/4 Divide 0 by -176. 0 Calculate -152 divided by 2. -76 -45 divided by 5 -9 216 divided by -54 -4 Calculate 8806 divided by 17. 518 What is 1656 divided by -6? -276 Divide 15 by 45. 1/3 64320 divided by -3 -21440 Calculate -396 divided by -17. 396/17 What is -1929 divided by 643? -3 Divide 7808 by -244. -32 What is -5734 divided by -122? 47 Calculate -77 divided by 17. -77/17 What is -11634 divided by 7? -1662 Calculate -351 divided by 39. -9 What is -3 divided by -169? 3/169 Divide -873 by 291. -3 -4 divided by -2188 1/547 Divide 23 by 5. 23/5 3820 divided by -5 -764 Calculate -415 divided by 1. -415 -7 divided by 1 -7 Divide -2 by -59. 2/59 Calculate -420 divided by -21. 20 Calculate 1320 divided by 66. 20 40365 divided by 23 1755 Calculate 1911 divided by -13. -147 Divide -23 by -422. 23/422 Divide -211 by -9. 211/9 Divide 27885 by 143. 195 What is -207 divided by 9? -23 -532 divided by -4 133 17700 divided by 118 150 Calculate 2537 divided by 59. 43 What is -216 divided by 72? -3 Calculate -3387 divided by 3. -1129 Calculate -292 divided by -3. 292/3 Calculate -372 divided by 4. -93 Divide 98 by -6. -49/3 Divide -7158 by 2386. -3 Divide -6 by 38. -3/19 Divide 266 by -4. -133/2 Calculate 0 divided by -175. 0 Divide -2670 by 178. -15 Divide 13152 by -4. -3288 What is -4700 divided by -50? 94 Divide 81 by -27. -3 What is -3 divided by 175? -3/175 19 divided by -3 -19/3 Calculate 13 divided by 87. 13/87 Calculate 6 divided by -1014. -1/169 Calculate -15 divided by -6. 5/2 Calculate -72 divided by 3. -24 Calculate 1029 divided by 3. 343 Calculate -4 divided by -25. 4/25 Calculate -139 divided by -1. 139 Divide -10 by 222. -5/111 88 divided by 12 22/3 Divide 1830 by 915. 2 1780 divided by -5 -356 Divide 35 by -5. -7 Divide 1075 by 1. 1075 What is 1842 divided by -2? -921 Calculate 574 divided by -7. -82 -1692 divided by -6 282 540 divided by 135 4 Divide 79 by -35. -79/35 Calculate 664 divided by 1. 664 Calculate 610 divided by 15. 122/3 Calculate -767 divided by -1. 767 What is 13 divided by -220? -13/220 Calculate -5 divided by 29. -5/29 Calculate 85 divided by -1. -85 Divide -9 by -5. 9/5 -225 divided by 25 -9 Calculate 2 divided by -173. -2/173 What is -60 divided by -5? 12 What is 3126 divided by -3? -1042 5658 divided by -1 -5658 Calculate 220 divided by 11. 20 Calculate 18255 divided by 3651. 5 What is -1603 divided by -1603? 1 Calculate -1611 divided by 3. -537 Divide -1088 by -6. 544/3 What is 11 divided by 306? 11/306 Divide 565 by -113. -5 Calculate -1017 divided by -339. 3 Divide 1168 by -4. -292 What is 5 divided by 167? 5/167 What is -124 divided by 31? -4 What is 196 divided by -196? -1 Calculate -4455 divided by -1. 4455 Calculate 66 divided by -6. -11 What is 160 divided by -4? -40 3744 divided by -16 -234 Calculate 2 divided by -9. -2/9 Calculate -2014 divided by -1. 2014 13 divided by 80 13/80 Divide 232 by 2. 116 -51 divided by 265 -51/265 What is 171 divided by -171? -1 9815 divided by 5 1963 Calculate -2478 divided by -59. 42 Calculate 1068 divided by 4. 267 Calculate 1 divided by 2534. 1/2534 Divide 432 by -108. -4 What is 9 divided by -27? -1/3 -1062 divided by -531 2 What is -19365 divided by -5? 3873 What is 1445 divided by 5? 289 Divide 3 by 145. 3/145 8448 divided by -528 -16 Divide 378 by -3. -126 Calculate 3 divided by 9. 1/3 Calculate -4 divided by -2446. 2/1223 -12385 divided by -2477 5 Calculate 0 divided by 4. 0 Calculate 18436 divided by 4609. 4 What is -1150 divided by -230? 5 Calculate 13 divided by -526. -13/526 Divide 0 by -2414. 0 Calculate -18855 divided by -5. 3771 Calculate 345 divided by 69. 5 -49 divided by -49 1 Calculate 297 divided by 5. 297/5 What is -1449 divided by 7? -207 What is 469 divided by 67? 7 Calculate -1029 divided by 1. -1029 120 divided by 7 120/7 Divide -615 by -123. 5 Calculat
{ "pile_set_name": "DM Mathematics" }
ps? -0.000005 Round 282690 to the nearest ten thousand. 280000 Round -0.000185013 to five dps. -0.00019 What is 1901770 rounded to the nearest one hundred thousand? 1900000 Round -10080000 to the nearest 1000000. -10000000 Round -0.00000012223 to seven dps. -0.0000001 What is 0.000002649 rounded to seven dps? 0.0000026 Round -3931.1 to the nearest 100. -3900 What is -0.000007031 rounded to six decimal places? -0.000007 What is -0.0000180439 rounded to seven decimal places? -0.000018 What is 180.471 rounded to the nearest integer? 180 Round -491500 to the nearest one hundred thousand. -500000 Round 1.7391 to 1 decimal place. 1.7 What is 0.0088316 rounded to 4 decimal places? 0.0088 Round 0.0000008572 to seven decimal places. 0.0000009 Round 1290000 to the nearest 100000. 1300000 What is 0.0003593 rounded to three dps? 0 Round 0.00017852 to five decimal places. 0.00018 What is -16260000 rounded to the nearest 100000? -16300000 What is -0.000004082 rounded to six decimal places? -0.000004 Round 0.00178664 to 5 decimal places. 0.00179 Round 1856.64 to the nearest 10. 1860 What is -313050 rounded to the nearest 10000? -310000 Round 175600 to the nearest ten thousand. 180000 Round -437.69 to the nearest one hundred. -400 Round -0.000000801 to seven dps. -0.0000008 What is -0.000729 rounded to 4 dps? -0.0007 Round -566.9 to the nearest ten. -570 What is -1.3812 rounded to 2 dps? -1.38 What is 0.020862 rounded to three decimal places? 0.021 What is 0.0001739 rounded to six decimal places? 0.000174 Round -769 to the nearest 10. -770 Round -0.000003831 to seven dps. -0.0000038 What is 1.859 rounded to the nearest 10? 0 Round -1395300 to the nearest one hundred thousand. -1400000 What is 0.000441 rounded to 4 decimal places? 0.0004 What is 0.004835 rounded to four decimal places? 0.0048 What is -0.005974 rounded to 4 dps? -0.006 What is -0.000067853 rounded to 6 decimal places? -0.000068 What is -9904000 rounded to the nearest 1000000? -10000000 What is -0.00943 rounded to 3 decimal places? -0.009 Round -0.000202452 to five decimal places. -0.0002 What is -717200 rounded to the nearest ten thousand? -720000 What is 267 rounded to the nearest one hundred? 300 Round 2800000 to the nearest ten thousand. 2800000 What is 0.000105487 rounded to 5 decimal places? 0.00011 What is 616000 rounded to the nearest 100000? 600000 Round -12.68 to the nearest integer. -13 What is 0.00022324 rounded to 5 decimal places? 0.00022 What is -243.3 rounded to the nearest 10? -240 Round 157480 to the nearest 1000. 157000 Round 0.00000015801 to 7 decimal places. 0.0000002 Round -385.85 to the nearest integer. -386 What is 0.0003355 rounded to four dps? 0.0003 Round 4015000 to the nearest 100000. 4000000 Round -0.935 to two dps. -0.94 What is 1.4253 rounded to one decimal place? 1.4 Round -0.000011292 to seven dps. -0.0000113 Round 0.00005147 to 6 dps. 0.000051 Round -16.55 to the nearest integer. -17 What is -19781.1 rounded to the nearest 100? -19800 What is 0.02168 rounded to 2 decimal places? 0.02 Round 0.041 to one dp. 0 What is 0.000020754 rounded to 7 dps? 0.0000208 Round 66500 to the nearest 1000. 67000 Round -83300 to the nearest ten thousand. -80000 Round 0.258981 to 3 dps. 0.259 Round -0.0167 to 2 decimal places. -0.02 Round 1.359 to one dp. 1.4 What is 8847 rounded to the nearest 1000? 9000 What is 0.36483 rounded to 2 dps? 0.36 What is -2773600 rounded to the nearest one hundred thousand? -2800000 What is 2059.45 rounded to the nearest ten? 2060 What is 3167000 rounded to the nearest 100000? 3200000 Round 0.0013228 to three dps. 0.001 What is -0.00251876 rounded to five decimal places? -0.00252 Round 0.12204 to 2 dps. 0.12 Round -1.596 to 1 dp. -1.6 Round -30.62 to the nearest 10. -30 What is -14.71 rounded to 1 dp? -14.7 What is 1.6195 rounded to one decimal place? 1.6 Round 1733.4 to the nearest ten. 1730 Round -144.37 to the nearest integer. -144 What is 0.00000329 rounded to six dps? 0.000003 Round 2.3207 to the nearest integer. 2 What is -0.06059 rounded to two decimal places? -0.06 What is 0.0019607 rounded to four dps? 0.002 What is -0.0313 rounded to three dps? -0.031 Round -0.00000064344 to seven dps. -0.0000006 What is 6183900 rounded to the nearest 100000? 6200000 What is 0.0612 rounded to two dps? 0.06 Round 2.94 to 0 decimal places. 3 Round -0.076563 to 2 dps. -0.08 What is -0.0008543 rounded to four dps? -0.0009 Round 0.0000005832 to 7 dps. 0.0000006 Round -20400 to the nearest 10000. -20000 Round 0.000001013 to seven decimal places. 0.000001 What is 10160000 rounded to the nearest one hundred thousand? 10200000 Round -158 to the nearest one hundred. -200 Round -0.00002775 to 6 dps. -0.000028 Round -32020 to the nearest 10000. -30000 Round -8.9 to the nearest ten. -10 What is 1.57 rounded to one dp? 1.6 Round -0.28978 to two decimal places. -0.29 Round 0.00013916 to 6 decimal places. 0.000139 What is 0.1983 rounded to 2 decimal places? 0.2 What is -0.20483 rounded to 2 dps? -0.2 Round 427300 to the nearest 10000. 430000 Round -11080000 to the nearest one million. -11000000 What is 2845 rounded to the nearest 100? 2800 Round -61.4 to the nearest ten. -60 What is -1.268 rounded to zero decimal places? -1 Round 76600000 to the nearest 1000000. 77000000 What is 49402000 rounded to the nearest one million? 49000000 Round 15918600 to the nearest one hundred thousand. 15900000 Round -0.04215 to two decimal places. -0.04 What is 0.08484 rounded to 2 dps? 0.08 Round -0.0031361 to three decimal places. -0.003 Round 0.00000315 to 6 decimal places. 0.000003 Round -82450000 to the nearest one million. -82000000 What is 0.0006665 rounded to four decimal places? 0.0007 What is 0.00215981 rounded to five dps? 0.00216 Round 3.34 to the nearest integer. 3 What is -595.92 rounded to 0 decimal places? -596 What is -1189.86 rounded to the nearest 100? -1200 What is 8600 rounded to the nearest 100? 8600 What is 0.000000509 rounded to 7 dps? 0.0000005 What is -0.00293 rounded to 3 dps? -0.003 What is -7855.7 rounded to the nearest 10? -7860 What is 12525000 rounded to the nearest 100000? 12500000 Round -5050 to the nearest one thousand. -5000 Round 1.1126 to one decimal place. 1.1 What is -19.9977 rounded to the nearest integer? -20 Round 4220 to the nearest 100. 4200 What is 1854000 rounded to the nearest 100000? 1900000 What is 0.48646 rounded to two dps? 0.49 What is 0.0000030616 rounded to 6 decimal places? 0.000003 What is -9598700 rounded to the nearest 1000000? -10000000 Round 1033600 to the nearest one hundred thousand. 1000000 What is -8645 rounded to the nearest one thousand? -9000 Round -0.0001272 to five decimal places. -0.00013 What is 0.025023 rounded to 4 decimal places? 0.025 Round -1390 to the nearest ten. -1390 What is -113660000 rounded to the nearest 1000000? -114000000 What is 1468.63 rounded to the nearest ten? 1470 Round -0.122795 to 3 decimal places. -0.123 What is -1035.52 rounded to the nearest 10? -1040 Round 7410000 to the nearest one hundred thousand. 7400000 Round -0.000055937 to 5 dps. -0.00006 Round 0.0008887 to four decimal places. 0.0009 What is -0.0002221 rounded to 5 decimal places? -0.00022 What is -14.433 rounded to the nearest integer? -14 Round -1.8192 to 2 decimal places. -1.82 Round -261.98 to the nearest integer. -262 Round -1.72847 to 2 decimal places. -1.73 Round 0.5613 to 2 dps. 0.56 What is -0.0064262 rounded to four decimal places? -0.0064 Round 56210 to the nearest 100000. 100000 What is 89.37 rounded to the nearest 100? 100 What is 0.008321 rounded to three dps? 0.008 Round -0.00046568 to four dps. -0.0005 Round 6820 to the nearest 100. 6800 What is -4685 rounded to the nearest 1000? -5000 Round -2.068 to one dp. -2.1 Round 6225000 to the nearest 1000000. 6000000 What is 0.004919 rounded to 3 decimal places? 0.005 What is -0.0010515 rounded to 4 decimal places? -0.0011 Round 348 to the nearest 10. 350 What is -20.1422 rounded to 1 dp? -20.1 Round -0.0011101 to 4 decimal places. -0.0011 What is 0.000007614 rounded to six dps? 0.000008 Round 2.18 to the nearest integer. 2 Round 30.919 to one dp. 30.9 Round -0.000006848 to six dps. -0.000007 What is 241.4 rounded to the nearest one hundred? 200 Round -1792 to the nearest 100
{ "pile_set_name": "DM Mathematics" }
)/6) prime? True Let d(c) = 1732*c - 231. Is d(27) a composite number? True Let u = -403274 + 739105. Is u prime? False Let s be (-5924)/10 + (-4)/(-10). Suppose 9*t - 74970 = -61*t. Let z = s + t. Is z a composite number? False Is 418516/6 - (-40)/120 a composite number? True Let m be (-3 - -4 - 380) + 1. Let s = m + 1439. Suppose 4*c - 455 - s = 0. Is c a composite number? False Let f(a) = -3*a**3 - 6*a**2 - 2*a. Let l be 3/(3/2) - (-24)/(-6). Let v be f(l). Is -2 + -1837*(3 - v) a prime number? False Let v be 2 - 10/(-15)*3. Suppose -27796 = -4*s + 2*i - 0*i, -2*i + 27780 = v*s. Is s prime? True Is (-51)/((-164)/(-33) - 5) + 8 a composite number? True Suppose 538878 = 3*l + 3*f, -37*f + 898148 = 5*l - 38*f. Is l a composite number? True Suppose -r - 861 = -2081. Suppose 3*s = -2*g - 932, 0 = 3*s + s - 3*g + r. Let j = s - -1007. Is j composite? True Suppose -179 = -6*u + 133. Suppose u*o = 50*o - 4. Is (1043/21*18/(-3))/o composite? False Let f(m) = 2*m**2 + 23*m + 34. Let d be f(-29). Let w = 3286 - d. Is w a prime number? True Suppose -4*x - 36*s = -33*s - 1129420, 0 = 4*x - 4*s - 1129364. Is x a composite number? False Suppose 0 = 3*r + 7*r - 110. Suppose 0 = 4*g - r*g + 7273. Is g composite? False Let r(u) = 2*u**2 - 18*u - 9. Let n be r(10). Let q = 10 - n. Is 311 - 5 - (q - 0) a composite number? False Suppose 15 = 5*c, -6*c + 4*c + 21 = 5*n. Suppose -y + 3505 = 3*a + 2*a, 0 = -n*a + 4*y + 2103. Is a composite? False Is (20/70)/((-48)/(-59234952)) a composite number? False Suppose -4*w = -16, 4*c - w = 4*w - 17444. Let g = 949 - c. Is g a prime number? False Suppose -k - 404 = -l, 0*l + k + 811 = 2*l. Suppose -2*t - 387 = -4*g + 3*t, 4*g - t = l. Let u = -16 + g. Is u prime? False Let o = 251 - 247. Suppose 19954 = 2*k + 4*a, 4*a + 20905 + 19003 = o*k. Is k composite? True Let i(r) = -158*r + 42. Let s be i(-20). Suppose 2*z + 20 = s. Is z prime? False Let n(c) = -2*c**2 - 42*c - 179. Let d be n(-6). Let l = -18 - -5. Is 3*d*l/(-39)*479 prime? True Let m = 822755 - -146532. Is m prime? False Let h be -6*(-9)/((-54)/(-4)). Suppose -2 + 10 = h*k. Is (-1631)/(-14)*4/k a prime number? True Let w(l) be the third derivative of l**5/6 + 7*l**4/24 + l**3/3 + 3*l**2. Let m(j) = -j**2 - 2*j + 160. Let a be m(-14). Is w(a) composite? True Let v be 8/28 - 74/14. Let p = v + 33. Suppose -32*u + 2836 = -p*u. Is u composite? False Is (-3557626320)/(-2716) - (-2)/(-14) a prime number? True Let j = -442 - -190. Let x = 585 + j. Let s = -110 + x. Is s composite? False Suppose -8*g = -16*g + 336. Suppose g = 2*l + 8. Let x(m) = 62*m - 71. Is x(l) composite? False Let y = -330 - -334. Suppose -3*u + 30384 = -3*d, y*u - 66755 = 3*d - 26238. Is u a prime number? True Is (-6)/33 - 17/((-748)/23744740) a prime number? True Let q(j) = 3*j + 23. Let t be (-6)/(-4) + -1 + (-15)/2. Let r be q(t). Is (644/12)/(r/6) composite? True Let p(s) = -1587*s - 247. Is p(-18) composite? False Let y = -39 + 39. Suppose 3*k - 11*k + 56 = y. Suppose 647 = -k*f + 8*f. Is f composite? False Let y = 123 - 120. Is (-1)/(-2)*(609 - (0 + y)) a composite number? True Let l = -14 + 18. Suppose 0 = u - l*u + 12. Suppose -u*d + 3*x = -1169, -2*d - 5*x = 3*d - 1470. Is d a composite number? False Let h(t) = 828*t**2 - 100*t + 25. Is h(11) prime? False Let j(z) = 2*z + 30. Let f be j(-14). Let a(d) = d**3 + 3*d**3 - 2*d**3 - 4*d**f + 9*d - 7*d**2 + 5. Is a(8) a composite number? False Suppose 0 = -12*a + 16*a - 8. Suppose -2*b + a*b = -2*b. Suppose 2*x - 3*z - 2125 = 0, b = -3*x - x + 2*z + 4230. Is x composite? True Let p be (24/(3 - -3) + -6)*5. Let u(j) = -252*j - 42. Let n(i) = -42*i - 7. Let b(v) = -35*n(v) + 6*u(v). Is b(p) a composite number? True Suppose 4*h - 1939183 - 293935 = 5*b, 4*h = 2*b + 2233136. Is h a composite number? False Suppose -2*d + 18 = 8. Suppose 0 = 4*x - 2*w - 6, -d*x + 2*w = -2*w. Is x - 2 - (-5114)/2 a prime number? False Suppose 2*g - 108434 = -m, -5*m = 4*g - 173812 - 43056. Is g prime? True Let l(t) = -31*t**3 + 19*t**2 + 7*t + 27. Let n be -4*12/(-4 + 10). Is l(n) composite? True Let j(v) = 7*v - 113. Let o be j(18). Is (3/(12/o))/((-3)/(-5532)) composite? True Suppose 0 = -3*m - 2*m + 35. Let o(x) = -x**3 + 6*x**2 + 4*x + 17. Let a be o(m). Is (177 + a/(-2))*(2 - 0) composite? True Let t(z) = 2563*z - 1. Let b be t(7). Suppose -b - 11900 = -16*w. Is w a composite number? True Suppose i - 34252 = 5*t, 3*i = 8*i - 6*t - 171089. Is i composite? True Let s(h) = 53*h**2 + 2*h + 22. Let o be -21*4/(-6)*4/8. Is s(o) a composite number? False Let v(q) = -192*q - 950. Let d be v(-5). Let f = -13 + 27. Suppose d*o - f*o + 3548 = 0. Is o prime? True Let a be 125520/50 + (-2)/5. Is 45*a/8 + (-3)/(-12) a prime number? False Suppose 12*y - 18 = 3*y. Suppose -3*m - 16 = 4*z, z + 2 = -y. Suppose m = -8*l + 12988 - 3476. Is l composite? True Is 20526946/44 + (-27)/(-18) composite? True Suppose 15 = -3*v, 5*c - 2*v - 1842 = 743. Let w = -252 + c. Is w prime? True Suppose 3*o = -b - 4*b - 60, 0 = 4*b. Let r = o - -30. Suppose -r*h + 11*h = 53. Is h composite? False Let f(x) = -3138*x**3 - 2*x**2 + 25*x + 58. Is f(-3) a composite number? False Suppose -5*i + 6171 = d, -3*i - d = -2311 - 1392. Suppose -8*p + 2326 = -i. Is p prime? False Let s(u) = -465*u**3 + u**2 + 3*u + 1. Suppose 5*q = -15, -2*x + 2 = -3*q - 11. Let t be s(x). Is (14 + -13)/((-1)/t) composite? False Is (-20)/15 + ((-13131)/27)/((-2)/890) composite? True Suppose -5*y = g, 3*y + 25 - 47 = -5*g. Suppose -3*w + 5*w + 4*r - 10882 = 0, g*w - r - 27172 = 0. Is w composite? True Suppose 5*o - 2145670 = -5*z, 5*o + 3*z - 279740 = 1865924. Is o composite? True Suppose 2*a = -0*a + 6, -4*s - 19 = -a. Let x be (1 - (-12)/8)*s/(-5). Suppose -x*i + 2124 = 5*v, 5*v = i - 0*v - 1047. Is i prime? False Suppose -5*l + 7*l - 556 = 0. Suppose 4*q = -114 - l. Let y = q + 181. Is y a composite number? False Suppose 2310 = 4*u + 7*u. Is u/(-45)*477/(-6) composite? True Let c = 760 - -1889. Let b = 1412 + -2832. Let x = b + c. Is x a composite number? False Let m(i) be the second derivative of i**5/20 + i**4/12 + 2*i**3/3 + 1115*i**2/2 - 20*i - 1. Is m(0) prime? False Let b(z) = 6*z**2 + 10*z + 16. Let u(d) = -d**2 + d + 1. Let y(l) = b(l) - 8*u(l). Let a be y(-7). Is 1*(1 - 0) + a a prime number? False Let g = 54586 + -4157. Is g prime? False Let d = -34 + -332. Let k be ((-6)/6)/(1/2)*-23. Is (k/3)/(-3 - 1102/d) composite? True Is -2*(396/1716 + 9732618/(-52)) a prime number? False Let s(j) be the second derivative of j**5/10 - j**4/6 + 5*j**3/2 - 7*j**2 + 15*j - 2. Is s(11) composite? True Let c(g) = -6523*g + 147. Let m(d) = 3262*d - 73. Let x(u) = -2*c(u) - 5*m(u). Is x(-3) a prime number? False Let d be -2 - -6 - (3 + -3 + 2). Suppose 5*g - 14245 = -2*a - 2*a, -d*g + 5695 = a. Is g a composite number? True Let q be (20 - 5)/(-5) - -46. Suppose -19*v + 94922 = q*v. Is v composite? False Let r = -77 + 86. Let n(b) = -2*b + 15. Let k be n(r). Let q(h) = 181*h**2 + 2*h - 4. Is q(k) composite? False Let a = 40675 - 10374. Is a composite? True Let r = -105 - -107. Suppose r*p + 4955 = 3*o, 4*o - 2*p - 6603 = -3*p. Is o composite? True Suppose 3*n - 5*b = 31, -5*n - 3*b - 7 = -2. Suppose 70 = n*t + 64. Suppose 11*h - 15064 = t*h. Is h composite? True Suppose -663*p + 712*p - 9795737 = 0. Is p a prime number? False Let x(y) = 165*y**3 + y**2 - 5*y + 20. Is x(7) a prime number? True Let d(z) = 24358*z**2 + 82*z - 601. Is d(8) a composite number? False Suppose -f - 3*r = -12113, 6*r - 12117 = -f + r. Is f prime? True Let y = 1211676 + -776737. Is y prime? True Suppose 4*v - 4*a = 500704, 3*a + 625886 = 8*v - 3*v. Is v a prime number? False Let f(j) = 397*j**2 + 147*j - 2763. Is f(25) composite? False Let i(r) = r**2 - 11*r + 28. Let b be i(8). Suppose 7*g + 5*k = 11*g - 88554, -b*g + k = -88562. Is g prime? False Let z(k) = -255*k + 7. Let l be z(-7). Let f(u) = -u**3 + 12*u**2 + 12*u + 18. Let o be f(13). Suppose 9597 - l = o*q. Is q a composite number? True Let x = 371 - 434. Let o = 160 - x. Is o composite? False Suppose -71*j = -73*j - 3*k + 169289, j - 84646 = -k. Is j composite? False Let o(b) = 5*b - 15. Let k be o(-11). Suppose -3*u + 2*g + 517 = 64, 5*g - 15 = 0. Let v = k + u. Is v prime? True Let c(q) = 1798*q + 40
{ "pile_set_name": "DM Mathematics" }
e 2:56 PM? 3:23 AM How many minutes are there between 12:12 PM and 1:48 PM? 96 How many minutes are there between 9:27 PM and 10:49 PM? 82 How many minutes are there between 10:44 AM and 11:04 AM? 20 What is 693 minutes after 10:17 AM? 9:50 PM What is 54 minutes before 3:53 PM? 2:59 PM What is 136 minutes before 10:25 AM? 8:09 AM What is 203 minutes before 5:31 AM? 2:08 AM What is 274 minutes after 3:06 PM? 7:40 PM How many minutes are there between 10:12 AM and 2:46 PM? 274 What is 446 minutes after 4:47 AM? 12:13 PM What is 244 minutes after 9:24 AM? 1:28 PM How many minutes are there between 7:54 AM and 5:46 PM? 592 What is 587 minutes after 12:38 PM? 10:25 PM How many minutes are there between 2:14 PM and 4:24 PM? 130 How many minutes are there between 11:39 PM and 11:27 AM? 708 How many minutes are there between 11:57 PM and 5:50 AM? 353 What is 274 minutes after 1:46 AM? 6:20 AM What is 586 minutes before 3:26 PM? 5:40 AM What is 681 minutes before 3:33 PM? 4:12 AM What is 104 minutes before 8:42 AM? 6:58 AM What is 628 minutes before 5:14 PM? 6:46 AM What is 624 minutes before 2:36 AM? 4:12 PM How many minutes are there between 9:36 PM and 3:21 AM? 345 How many minutes are there between 8:32 PM and 5:45 AM? 553 What is 251 minutes before 3:57 AM? 11:46 PM What is 421 minutes before 10:02 PM? 3:01 PM What is 154 minutes before 4:22 PM? 1:48 PM How many minutes are there between 1:01 PM and 3:13 PM? 132 What is 636 minutes after 6:06 AM? 4:42 PM What is 371 minutes after 4:02 AM? 10:13 AM What is 492 minutes before 8:52 AM? 12:40 AM What is 89 minutes before 11:25 PM? 9:56 PM How many minutes are there between 10:35 AM and 3:01 PM? 266 How many minutes are there between 12:30 AM and 10:15 AM? 585 What is 102 minutes after 8:38 AM? 10:20 AM How many minutes are there between 1:32 PM and 7:00 PM? 328 How many minutes are there between 5:17 AM and 9:54 AM? 277 How many minutes are there between 3:12 PM and 9:11 PM? 359 What is 115 minutes before 5:45 PM? 3:50 PM What is 181 minutes before 12:31 AM? 9:30 PM What is 359 minutes after 7:40 PM? 1:39 AM What is 353 minutes after 4:23 AM? 10:16 AM What is 414 minutes before 3:46 AM? 8:52 PM How many minutes are there between 7:05 AM and 8:08 AM? 63 What is 186 minutes before 10:35 AM? 7:29 AM What is 421 minutes before 3:24 PM? 8:23 AM What is 4 minutes before 4:31 AM? 4:27 AM What is 141 minutes after 7:26 AM? 9:47 AM What is 675 minutes after 4:07 PM? 3:22 AM What is 14 minutes after 1:38 PM? 1:52 PM How many minutes are there between 2:02 AM and 10:26 AM? 504 How many minutes are there between 7:43 AM and 9:43 AM? 120 What is 700 minutes after 6:57 PM? 6:37 AM What is 524 minutes after 9:50 PM? 6:34 AM What is 670 minutes after 5:30 AM? 4:40 PM How many minutes are there between 2:55 PM and 11:40 PM? 525 How many minutes are there between 6:54 AM and 8:36 AM? 102 What is 630 minutes after 10:13 PM? 8:43 AM What is 714 minutes before 1:47 PM? 1:53 AM How many minutes are there between 9:13 PM and 10:54 PM? 101 How many minutes are there between 4:01 AM and 7:32 AM? 211 What is 535 minutes before 2:39 AM? 5:44 PM What is 399 minutes after 6:00 PM? 12:39 AM What is 82 minutes before 7:22 PM? 6:00 PM What is 559 minutes after 9:56 AM? 7:15 PM How many minutes are there between 3:40 PM and 2:24 AM? 644 What is 457 minutes after 11:20 AM? 6:57 PM What is 170 minutes after 5:29 AM? 8:19 AM What is 25 minutes before 4:04 PM? 3:39 PM What is 277 minutes after 4:22 AM? 8:59 AM How many minutes are there between 5:06 PM and 2:18 AM? 552 How many minutes are there between 9:54 PM and 8:51 AM? 657 What is 194 minutes after 2:20 AM? 5:34 AM How many minutes are there between 2:23 PM and 1:52 AM? 689 What is 587 minutes after 10:06 AM? 7:53 PM How many minutes are there between 8:45 PM and 4:19 AM? 454 What is 719 minutes before 4:23 AM? 4:24 PM How many minutes are there between 7:56 AM and 2:12 PM? 376 What is 366 minutes after 2:56 AM? 9:02 AM How many minutes are there between 2:07 AM and 9:50 AM? 463 What is 167 minutes before 8:40 AM? 5:53 AM What is 462 minutes before 6:01 PM? 10:19 AM What is 353 minutes before 12:09 PM? 6:16 AM How many minutes are there between 10:22 PM and 9:49 AM? 687 What is 91 minutes after 11:49 AM? 1:20 PM What is 35 minutes before 5:13 AM? 4:38 AM What is 175 minutes before 10:05 AM? 7:10 AM How many minutes are there between 2:54 AM and 2:14 PM? 680 What is 630 minutes before 4:15 AM? 5:45 PM How many minutes are there between 7:36 PM and 6:17 AM? 641 What is 680 minutes after 4:24 AM? 3:44 PM How many minutes are there between 5:08 PM and 3:04 AM? 596 What is 153 minutes after 4:00 AM? 6:33 AM How many minutes are there between 3:39 PM and 12:45 AM? 546 How many minutes are there between 7:35 AM and 2:01 PM? 386 What is 514 minutes before 8:41 PM? 12:07 PM How many minutes are there between 1:20 AM and 6:52 AM? 332 How many minutes are there between 2:51 AM and 5:06 AM? 135 How many minutes are there between 7:06 PM and 8:47 PM? 101 How many minutes are there between 7:11 AM and 10:28 AM? 197 How many minutes are there between 7:57 AM and 10:09 AM? 132 How many minutes are there between 5:22 PM and 1:43 AM? 501 What is 463 minutes after 10:14 AM? 5:57 PM How many minutes are there between 12:52 PM and 6:59 PM? 367 How many minutes are there between 3:55 AM and 11:57 AM? 482 What is 202 minutes before 4:10 PM? 12:48 PM What is 406 minutes before 9:37 PM? 2:51 PM What is 49 minutes before 11:59 PM? 11:10 PM What is 342 minutes before 3:02 AM? 9:20 PM How many minutes are there between 1:07 PM and 10:56 PM? 589 What is 328 minutes before 2:35 PM? 9:07 AM How many minutes are there between 9:18 PM and 8:27 AM? 669 How many minutes are there between 1:18 AM and 1:37 AM? 19 What is 620 minutes after 6:01 PM? 4:21 AM How many minutes are there between 10:31 AM and 12:59 PM? 148 What is 244 minutes after 9:51 PM? 1:55 AM What is 92 minutes after 7:10 PM? 8:42 PM What is 414 minutes after 12:17 PM? 7:11 PM How many minutes are there between 8:00 AM and 3:12 PM? 432 How many minutes are there between 12:17 PM and 8:57 PM? 520 What is 503 minutes after 8:04 AM? 4:27 PM How many minutes are there between 9:16 AM and 9:18 AM? 2 What is 406 minutes after 10:55 AM? 5:41 PM What is 142 minutes before 3:44 AM? 1:22 AM How many minutes are there between 2:46 AM and 7:29 AM? 283 How many minutes are there between 9:06 AM and 11:44 AM? 158 How many minutes are there between 11:35 PM and 10:02 AM? 627 What is 291 minutes after 4:27 AM? 9:18 AM How many minutes are there between 5:34 PM and 10:51 PM? 317 What is 130 minutes after 5:09 AM? 7:19 AM What is 709 minutes after 9:21 PM? 9:10 AM What is 139 minutes before 7:38 PM? 5:19 PM What is 647 minutes before 5:43 PM? 6:56 AM What is 298 minutes after 5:30 PM? 10:28 PM What is 699 minutes before 6:30 PM? 6:51 AM How many minutes are there between 1:28 PM and 2:30 PM? 62 What is 91 minutes before 6:24 PM? 4:53 PM What is 690 minutes before 9:32 PM? 10:02 AM How many minutes are there between 12:53 AM and 5:45 AM? 292 How many minutes are there between 7:15 AM and 1:43 PM? 388 What is 4 minutes before 6:36 PM? 6:32 PM What is 264 minutes before 2:10 AM? 9:46 PM How many minutes are there between 1:45 AM and 9:23 AM? 458 How many minutes are there between 3:29 PM and 7:44 PM? 255 How many minutes are there between 3:52 PM and 2:15 AM? 623 How many minutes are there between 9:11 AM and 5:51 PM? 520 What is 408 minutes before 7:04 PM? 12:16 PM What is 266 minutes after 10:26 PM? 2:52 AM What is 197 minutes after 6:26 PM? 9:43 PM What is 693 minutes before 10:31 AM? 10:58 PM What is 6 minutes before 4:25 PM? 4:19 PM What is 315 minutes before 1:37 AM? 8:22 PM What is 400 minutes before 2:14 PM? 7:34 AM How many minutes are there between 2:37 AM and 8:08 AM? 331 How many minutes are there between 6:13 AM and 7:50 AM? 97 How many minutes are there between 9:27 AM and 11:27 AM? 120 What is 132 minutes before 7:04 AM? 4:52 AM How many minutes are there between 3:07 AM and 4:16 AM? 69 What is 204 minutes after 4:44 AM? 8:08 AM How many minutes are there between 3:41 PM and 2:11 AM? 630 What is 279 minutes before 8:50 PM? 4:11 PM How many minutes are th
{ "pile_set_name": "DM Mathematics" }
4/24 - w**3/6 + 27*w**2. Let t(n) = m(n) - 6*r(n). Give t(5). -3 Suppose -4*k = -4 - 52. Let r = k + -6. Let g(n) = n - 2*n - 1 + r. Determine g(5). 2 Suppose 5*f - 3*t - 106 = 0, 0*f - 118 = -5*f - t. Let g = -19 + f. Let u(p) = g*p - 2 - 10*p**2 + 4*p**2 - 7 + p**3. Determine u(6). 15 Let m = 13 - 7. Let v(c) = c**2 - c + 5. Determine v(m). 35 Let k = 8 - 14. Let i(s) = 132 - 163 - 2*s + s + 37. Determine i(k). 12 Let s(d) = -62*d + 24*d + 2 + 33*d. Let w(t) be the first derivative of t**3/3 + 21*t**2/2 - 9*t - 1. Let a(f) = 9*s(f) + 2*w(f). Determine a(3). 9 Let n(a) = -a**2 + 4*a + 3. Suppose -47*r - 4 + 427 = 0. Calculate n(r). -42 Suppose 2*h - 41 = 3*f, 0 = -4*h - 2*f + 20 + 22. Let o = h - 27. Let m be o/(-10) - 15/(-25). Let b(v) = v**2 - v. What is b(m)? 2 Let b(g) = g**3 - 8*g**2 + 2*g - 4. Let c(m) = -m**3 + 7*m**2 - m + 3. Let a(j) = -2*b(j) - 3*c(j). Let f be -2*1/1 - -9. Let t be f/1 - (4 + -2). What is a(t)? -6 Let x(i) be the third derivative of i**6/120 - i**5/15 + 5*i**4/24 - 2*i**3/3 + 95*i**2. Calculate x(3). 2 Suppose 8*p = 16*p + 32. Let x be 1/(1 + p + 2). Let q(k) = 6*k**3 + k**2. Calculate q(x). -5 Let x(f) = 111*f**2 - 2*f - 107*f**2 - 3 + f**3 + 0*f**3. Let g = -14 - -6. Let y = g - -4. Calculate x(y). 5 Let q(l) = -l**2 - 10*l - 6. Let a = -278 - -268. Determine q(a). -6 Let b = -18 - -21. Let g(k) = k + 1 - b*k - 6. Let x(r) = r**2 + 10*r - 4. Let j be x(-10). What is g(j)? 3 Let p be (-7)/56 + (2 - 21/24). Let m be 0/4*(p - 2). Let n(g) = 2*g**2 - g**3 - 5*g**2 + 4*g**2 - 1. Determine n(m). -1 Suppose -2*i + 16 = 4*j, -4*i + 15 - 3 = 4*j. Let z(r) be the second derivative of -r**3/2 - 3*r**2/2 - 4*r - 3. Calculate z(i). 3 Let w(d) = -4*d + 2*d - 2343 + 2345 + 3*d**2. What is w(0)? 2 Let p(i) = -i**2 - 7*i + 13. Let f be p(-9). Let v(j) be the second derivative of -j**5/20 - j**4/3 + 4*j**3/3 + 2*j**2 - 6*j - 11. Determine v(f). -11 Let x(d) = d - 6. Let n = -139 - -139. Suppose n = -y + 2*t + 8 - 2, -5*t = 4*y - 11. Calculate x(y). -2 Let x(w) be the second derivative of 19*w - 5/2*w**2 - 1/6*w**4 + 0 - w**3. Give x(-4). -13 Suppose 0*c + 6*c - 42 = 0. Let z(h) be the third derivative of -h**6/720 + h**4/24 + 6*h**2. Let o(y) be the second derivative of z(y). Determine o(c). -7 Let f be (-6)/57 + (-126)/(-114). Let j(o) = -5*o - 2. What is j(f)? -7 Let u be 5*((-2)/10)/((-1)/4). Let j(y) = y**3 - 3*y + 6. Give j(u). 58 Let w(v) = -v**3 + 5*v**2 - 6*v + 2. Suppose 41 = 2*i - b + 36, -i = b - 7. Determine w(i). -6 Let b(o) = 3*o - 9. Suppose 2*l - 2 = -5*f - 0, 4*l - 4 = 2*f. Let t(u) = u - 1. Let n(i) = l*b(i) - 5*t(i). Calculate n(-3). 2 Let y be ((-5)/3 + 1)*(-5 + 2). Let v(u) = 2*u + u**3 + u**2 + 7 - y*u + 2. What is v(0)? 9 Let h(n) = -n**2 + 8*n - 6. Let t be (2 + -1 + -2)*-2. Suppose -29 + 17 = -t*c. What is h(c)? 6 Let a(b) = -1472*b**2 + 6*b + b**3 + 1465*b**2 - 1 + 6. Determine a(6). 5 Suppose 23 - 3 = 5*t. Suppose -t*q + 9 = 1. Let r(f) = -q*f**3 - 5*f + 2 + 4*f + 0*f + 3*f**2. What is r(2)? -4 Let o be ((-40)/28)/(4/(-28)). Let f(n) = n**3 - 10*n**2 - 2*n + 10. Calculate f(o). -10 Suppose -3*n + 12 = p, -5*p = -5*n + n - 3. Let d be 3 - 2 - p/(-3). Let w(f) = 321*f + 2*f**2 + f**2 + 3 - 324*f - 4*f**2. What is w(d)? -7 Let r(h) be the first derivative of h**3/3 - 5*h**2/2 - h + 53. What is r(3)? -7 Let w = -60 + 62. Suppose -2*p - 26 = w*x, 35 + 1 = -3*p - 2*x. Let s(m) = -m**2 - 10*m - 3. Determine s(p). -3 Let c(b) = b + 13. Let d be c(-4). Suppose s + 56 = d*s. Let l(y) = -y**3 + 6*y**2 + 7*y + 2. Give l(s). 2 Let o(s) = s**2 + 4*s - 4. Suppose 4*q + 15 = -t, 10*t - q - 30 = 5*t. Suppose -t*z - 24 = -4. Let w be o(z). Let d(k) = -k**2 - 4*k - 6. Determine d(w). -6 Let l(s) = -s - 9. Let v be l(-5). Let o be 12/v + 2*1. Let a = o - -2. Let b(n) = -3*n**3 - n**2 - n + 1. Give b(a). -4 Let h(i) = i**2 - 16*i + 16. Suppose -29*w = -31*w + 4*v + 28, -v = 0. Give h(w). -12 Let f = -31 - -34. Let c(a) = -2 - 43*a**f + 21*a**3 + 20*a**3 + a - a**2. Let u be (-1 - 3)*(-4)/(-8). Calculate c(u). 8 Let x(n) be the first derivative of 2*n**3/3 + 3*n**2 + 4*n + 536. Suppose 3*v = 4*v + 4. What is x(v)? 12 Let o(u) = u**2 - 9*u + 3*u**2 - 4 - 5*u**2 + 17 - 3. Calculate o(-9). 10 Let k(z) = -183*z**2 - 4*z - 184*z**2 + 7 + 366*z**2. What is k(-5)? 2 Let r = 42 - 39. Let o(i) = -2*i + r*i - 9 + 7 - 2*i + i**2. Determine o(2). 0 Let y(x) = -x**2 + 7*x + 2. Let a(b) = b**2 + 2*b. Let o be a(-3). Let w(r) = -4 - r**o + 3 - 2*r - 5*r**3 - 1. Let n be w(-1). Determine y(n). 8 Let g(h) = h**3 - 6*h**2 - 2*h + 2. Suppose 5*y + 25 = -25. Let p be (-2)/y + (-38)/(-10). Suppose -4*o + 19 = 3*q - p*q, 0 = 2*o + 4*q - 32. Give g(o). -10 Suppose -8*y + 33 = 3*y. Let f(z) be the third derivative of -z**5/60 + 5*z**4/24 - z**3/6 + 8*z**2. Calculate f(y). 5 Let d(h) = 37*h + 22. Let m(c) = 306*c + 177. Let z(p) = 33*d(p) - 4*m(p). What is z(5)? 3 Let x(z) be the third derivative of -1/6*z**3 + 0*z + 1/12*z**4 - 6*z**2 + 0. Calculate x(2). 3 Let p(g) = -g**3 + 4*g**2 + 6*g + 2. Let l be p(5). Let z(x) be the third derivative of x**5/60 - x**4/4 - 7*x**3/6 - 66*x**2 + 2*x. What is z(l)? 0 Let c(x) be the third derivative of -x**5/60 - x**4/3 - 4*x**3/3 + 14*x**2. Let o = 4 - -16. Suppose o = -3*p + 2. Determine c(p). 4 Let h(l) = -7*l**2 - 6*l - 8. Let k(a) = 7 + 10 + 2*a**2 + 4*a + 9*a + 13*a**2. Let y(u) = -13*h(u) - 6*k(u). Determine y(0). 2 Let n(o) = -3*o - 6*o + 10*o + 6*o + 4. Give n(-2). -10 Let p(l) be the first derivative of -3*l**2/2 + 34*l + 119. Calculate p(10). 4 Let b be (-210)/60*48/21. Let f(g) = -g**2 - 15*g - 42. Calculate f(b). 14 Let l(h) be the first derivative of -2*h**2 - 31*h - 551. Determine l(-6). -7 Suppose 4*s - 2*u - 21 = 1, 2*u - 23 = -5*s. Let n(y) be the second derivative of 3*y**2 - 1/6*y**3 + 0 - 1/20*y**5 - s*y + 1/12*y**4. Give n(0). 6 Let g be 1*4 + 6/6. Suppose -g*p - 11 = 19. Let v(b) = b**3 + 6*b**2 + 2*b + 10. Let z be v(p). Let m(x) = 2*x**3 + 3*x**2 + x + 2. Give m(z). -4 Let i(c) be the third derivative of -c**5/60 - c**4/3 + c**3/2 - 10*c**2 + 12*c. Calculate i(-7). 10 Let m(n) = -n**2 + 9*n + 2. Suppose -5*u + 45 = -4*k, -4*u + 8*u + 4*k - 36 = 0. Calculate m(u). 2 Let g(z) = 3*z**3 - 5*z**2 - 2*z + 1. Let h(o) = -4*o**3 + 6*o**2 + 3*o. Let d(n) = 3*g(n) + 2*h(n). Give d(3). 3 Let z = 11 + -6. Let h(u) = u - 3. Let m(l) = -4 + 5*l - 5 - 5. Let f(x) = -11*h(x) + 2*m(x). Give f(z). 0 Let w(j) = -6*j - 2*j + 5 - 1. Suppose 72 + 54 = 44*o - 6. What is w(o)? -20 Let t(w) = w**3 + 17*w**2 + 3. Let k be t(-17). Let i(n) = 2*n - 4 + 0*n**2 - n**2 - n**2 + 0*n. Give i(k). -16 Suppose -5 + 2 = -t. Let g(q) = 0 + t - 8*q - 2*q**2 + q**2. Suppose -3*v + 7*v - 5*l = -17, -43 = 5*v + l. Determine g(v). 3 Let s(d) be the second derivative of d**3 + 0*d**2 + 0 - 10*d - 1/12*d**4. What is s(3)? 9 Let r(k) be the first derivative of 7/2*k**2 - 46 + 1/3*k**3 - k. Give r(-6). -7 Let a be (-2 - -1)/(11 + 273/(-26)). Let u(z) = -10*z + 2. Calculate u(a). 22 Let b be -2*(-2 + 2/4). Let m(l) = l**2 - 6*l**3 + 2*l + 4 - 3 - b*l. Let s = 2755 - 2754. What is m(s)? -5 Let i(z) = 3*z**3 - 6*z**2 + 8*z + 8. Let g(q) = -7*q**3 + 11*q**2 - 17*q - 16. Let h(b) = -2*g(b) - 5*i(b). Determine h(7). -1 Suppose -20*g + 98 = -13*g. Let t(h) = h + 2. What is t(g)? 16 Let n(a) = 3*a + 1. Let f = 9 + -3. Suppose -12 - 2 = -7*c. Suppose -5 = -5*x + 5*y, f = c*x + y - 5*y. Determine n(x). -2 Let a(l) = 4*l**2 - 3*l + 3. Suppose h + 2*h - 2*x = -4, -5*h - 4*x + 30 = 0. Determine a(h). 13 Suppose -22 = -3*d + d - 4*x, -2*d + 5*x - 14 = 0. Let f(i) = -i**2 + i + 3. Let w be f(d). Let g(n) = 3*n + 3. Determine g(w). -6 Let c(a) = -a**2 - a + 17. Let o be c(3). Let u(i) = 0*i + i + 0*i - 6 + 0. Give u(o). -1 Let v(r) = -r**3 - 23*r**2 - 6*r - 139. Let b be v(-23). Let x(p) be the first derivative of -p**4/2 - p**3/3 - p**2 - p - 3. Give x(b). 2 Let b(z) = -2*z - 3. Let u be (-7 + 16)*-1 - (-3 - 1). Give b(u). 7 Let k(r) = 2*r - 3. Suppose 2 = t + t. Let w(f) = -1. Let v(g) = t*k(g) + 6*w(g). Determine v(6). 3 Suppose 0 = -j + 1 + 1. Suppose 5*r = -0*v - 5*v + 20, -5*v = j*r - 8. Let i(y) = -y**2 + 4. Determine i(r). -12 Let w(k) = 0*k - k - 4*k + 0 + 3*k - 2. Give w(-9). 16 Let x(o) be the third derivative of -o**5/60 + o**4/3 +
{ "pile_set_name": "DM Mathematics" }
-342, 0 = 4*t + 4*q + q - 291. Let h = -68 + t. What is the remainder when 26 is divided by (0 - h)*4/((-16)/60)? 11 Suppose -5*u + 148 = 188. Let j = u + 14. What is the remainder when 15 is divided by j? 3 Suppose 6*l - 36 = -0*l. Suppose x = -l*x + 35. Suppose -2*s - 3*v = -56, -s + x*s - 3*v - 112 = 0. Calculate the remainder when s is divided by 11. 6 Let n be (-25716)/54 - (-2)/9. Let v = n + 492. Calculate the remainder when 22 is divided by v. 6 Let z(u) = -224*u - 753. What is the remainder when 1078 is divided by z(-4)? 77 Let d(g) = 2*g**2 - g - 6. Let f(a) = -a**2 + 2176*a + 15. Calculate the remainder when d(-6) is divided by f(0). 12 Suppose 623 = 9*b + 56. What is the remainder when 488 is divided by b? 47 Calculate the remainder when (9 - 1077/5)/((-42)/140) is divided by 30. 28 Let i be (-53 - -4)/(4/(-8)). Suppose 0 = -w - s + 44, -2*w = 3*s - 6*s - i. Suppose m + 3 = 15. Calculate the remainder when w is divided by m. 10 Let j(w) = -w**3 + 9*w**2 + 28*w + 111. Let s(i) = 3*i**3 - 2*i - 1. Suppose 6 = 2*c - 0*c. What is the remainder when s(c) is divided by j(12)? 14 Suppose -7*o - 127 = -204. Suppose 0 = -o*d + 12*d - 195. What is the remainder when d is divided by 14? 13 Let n(y) = 10*y**2 + 231*y - 195. Let z be 3/(-6) + 15/2. Let w(q) = 16*q - 8. What is the remainder when w(z) is divided by n(-24)? 20 Let u = 20399 + -20323. Calculate the remainder when u is divided by 23 + (-2)/(-2)*-2. 13 Let t = 410 + -1250. Let y = 953 + t. What is the remainder when y is divided by 18? 5 Let n be (4 - (-128)/(-20))*(-3 - 2). Suppose -v + 5*v - n = 0. Suppose 0 = v*p, -8 = -c - 4*p + 5. What is the remainder when 63 is divided by c? 11 Let t = -972 - -1401. Let r = -692 - -764. Calculate the remainder when t is divided by r. 69 Suppose -2 = u - 2*p, 5*p - 15 = 2*u + 3*u. Let g be -2*((u - -1) + 2). Suppose 0*j + 60 = g*j. What is the remainder when 117 is divided by j? 27 Let r be (-12)/3 + 7 - 0. Suppose -r*o - 5 = -8*o. Let t(q) = -2*q + 40. What is the remainder when t(18) is divided by o? 0 Let r = -1011 - -1693. Calculate the remainder when r is divided by 30. 22 Suppose -7*g - 1804 = -63*g - 26*g. What is the remainder when 1074 is divided by g? 18 Let f(y) = y**3 + 6*y**2 - 2*y - 28. Let j be f(-5). Suppose j*w = 13*w - 78. Calculate the remainder when 29 is divided by w. 3 Let z(t) = 4*t**2 + 18*t - 13. Let y(b) = -23*b + 19. What is the remainder when y(-4) is divided by z(2)? 33 Let h(n) = 25 - 3*n + 2*n + 0*n - 2*n. Suppose -2*i = -18 + 6. Calculate the remainder when 25 is divided by h(i). 4 Let d = 37 - -6. Let w = 3178 - 3032. Calculate the remainder when w is divided by d. 17 Suppose -22*k = 33*k - 10835. Suppose -4*r + 21 = -59. Calculate the remainder when k is divided by r. 17 Suppose -25 + 139 = 3*l + 3*s, -4*l = -4*s - 152. Let y = l - 33. Suppose -2*d + y*c + 67 = d, 44 = 2*d - 3*c. What is the remainder when 73 is divided by d? 16 Calculate the remainder when -2*(1 - 48/45) - 2353/(-15) is divided by 130. 27 Suppose 0 = 5*n - 25, 0 = 5*f - 3*n + 62 - 47. Suppose 0 = 5*h - 45*g + 41*g - 246, f = 5*h - g - 234. What is the remainder when 137 is divided by h? 45 Let n be (-75)/(-18) - ((-145)/30 - -5). Suppose c = n*g - 47, 43*g + 13 = 45*g + 3*c. Calculate the remainder when 61 is divided by g. 6 Let x be -1 - (3/12 + 292/(-16)). Suppose g = -20*k + x*k + 62, 0 = k + 2*g - 29. What is the remainder when 47 is divided by k? 9 Let q be (-12)/102 + (-1536)/(-51). Suppose -33*w + 219 = -q*w. What is the remainder when w is divided by 63? 10 Calculate the remainder when (-2 - 0)/2*24100/(-50) is divided by 131. 89 Suppose 0 = -2*z + 4*r + 56, z = -2*r + r + 13. Suppose -2*j - z = -68. Let d = 145 - -4. Calculate the remainder when d is divided by j. 24 Let d be (1 - -16) + 5*(4 - 5). Calculate the remainder when 156 is divided by (27/4)/(27/d + -2). 21 Let k(s) = s**3 - 21*s**2 + 8*s - 51. Let q be k(21). Suppose 3*f - 564 = q. Suppose -10*c + 1087 = f. Calculate the remainder when c is divided by 29. 28 Suppose 0 = 8*w - 64 - 56. Suppose -8080 = 135*k - 151*k. Calculate the remainder when k is divided by w. 10 Calculate the remainder when 200 is divided by -16 + -8*(3 + -13). 8 Let w(p) = 6*p**3 + 2*p**2 + p + 1. Let y = 53115 - 53085. What is the remainder when w(2) is divided by y? 29 Let k = 5261 + -5243. Calculate the remainder when 665 is divided by k. 17 Let y be (-5)/(-3) - 2/(-6). Suppose 5*k = -3*d + 14, -d - 1 = -2*k - y. Calculate the remainder when 19 is divided by (22/6)/(d + (-8)/3). 8 Suppose -5*r = -2*o - 4*r + 33, -r + 63 = 4*o. What is the remainder when 39 is divided by o/48 + 23/3? 7 Suppose -1124*c + 84158 = -257538. Let n = 180 + -101. Calculate the remainder when c is divided by n. 67 Suppose 0 = -1694*i + 1631*i + 1953. Calculate the remainder when 223 is divided by i. 6 Suppose -4*r - y = -1605 - 888, r - 612 = 2*y. Let t = 141 + -133. What is the remainder when r is divided by t? 6 Let d(p) = -p + 29. Let z(w) = -w**2 + 15*w + 27. Let v(l) = -l + 24. Let y be v(8). Let b be z(y). What is the remainder when 89 is divided by d(b)? 17 Suppose -4*m + 57*p = 54*p - 3542, -5*p = 10. What is the remainder when m is divided by 127? 122 Let f(i) = i + 7*i**2 - 2*i + 0*i**2 - 11 - 6*i**2 + 32. Let r = 0 - 9. What is the remainder when f(r) is divided by 19? 16 Suppose -2*v + 427 - 79 = 3*p, 2*v - 6 = 0. Let b(d) = -31*d - 182. Calculate the remainder when p is divided by b(-7). 9 Suppose x + 2*x - 24 = 0. Let o = 1679 - 1598. Suppose x*w - o = 7. What is the remainder when 32 is divided by w? 10 Suppose 11*t = 8*t, 5*t + 4 = 2*g. Suppose 5*r + 43 + 15 = 4*s, -5*s + 56 = g*r. Calculate the remainder when (-6)/((-3)/(243/6)) is divided by s. 9 Let k(s) = 3*s**2 - 10*s - 2. Let m(j) = j**2 - j. Let p(f) = -k(f) + 2*m(f). Let t = -97 + 131. Calculate the remainder when t is divided by p(7). 7 Let p = 31 + -33. Let h = p - -3. Calculate the remainder when 33 is divided by (h/1)/(2/34). 16 Suppose 10*o = -945 + 3585. What is the remainder when o is divided by 52? 4 Let v be (0 - -1)/((-32)/384). Calculate the remainder when (-2 + 15/(-6))/(v/400) is divided by 39. 33 Let d(v) = 26*v**2 - 201*v + 400. What is the remainder when d(2) is divided by 25? 2 Suppose 10*r + 4*u + 666 = 17*r, -108 = -r + 2*u. Calculate the remainder when 6835 is divided by r. 85 Let m = -381 - -398. Suppose 0*a + a = -4*q + 6, -q - a = 0. Suppose j + 61 = q*n, 2*n + j - 4*j = 55. Calculate the remainder when n is divided by m. 15 Suppose 35 = -5*j, -4*l + 0*l - 2*j + 1082 = 0. Suppose -4*v + 102 = 2*k - 0*k, 4*v = -5*k + 117. What is the remainder when l is divided by v? 21 Let g be (12/15)/((-4)/70). Let y(n) = -n**2 - 21*n - 11. Let f be y(g). Suppose 121 = 4*t - f. What is the remainder when t is divided by 27? 25 Let p(k) = 6*k - 6. Let c(m) = -5*m - 1. Let l be c(-1). Suppose 0 = -124*s + 60*s + 58*s + 426. What is the remainder when s is divided by p(l)? 17 Suppose 11*a - 17*a = -24. Suppose 4*z - g = -104, 0*g + 97 = -3*z - a*g. What is the remainder when (9/z)/(1 - (-1884)/(-1881)) is divided by 42? 41 Let v = -16177 - -16361. Calculate the remainder when 568 is divided by v. 16 Suppose -352 - 5648 = -12*h. Suppose -4*s + h + 388 = -5*p, p + 221 = s. Calculate the remainder when s is divided by 44. 41 Suppose -4*t = -2*f + 8, -777*f + 51 = -773*f - 3*t. Calculate the remainder when -1 - (1 + 1) - -71 is divided by f. 14 Suppose -1284 = -5*a - u, 3*a + 4*u = 6*u + 760. What is the remainder when a is divided by 10? 6 Suppose 5*n - 861 = -l, 12*n + 4452 = 5*l + 16*n. Calculate the remainder when l is divided by 219. 20 Let t = 277 + -294. Let d = t + 37. What is the remainder when 78 is divided by d? 18 Suppose 3*b + 155 = 4*m - 306, 3*m + 2*b = 350. Suppose 125*l = m*l + 1098. Calculate the remainder when l is divided by 64. 58 Let s(w) = 71*w**2 - 42*w - 101. Calculate the remainder when s(-3) is divided by 130. 14 Let y(d) = 2*d - 2. Let h be y(7). Suppose 4*c - r = 2*r + 21, 4*r + h = 0. Suppose -c*k - 103 = -328. What is the remainder when k is divided by 20? 15 Suppose o = -0 + 14. Let k = 88 + -81. Suppose -k*f + o = -147. What is the remainder when f is divided by 13? 10 Let k = -45243 - -45551. What is the remaind
{ "pile_set_name": "DM Mathematics" }
-2*t + 16 = 2*t. Suppose k*i - 16*i = 0. Solve 4*o + 7 + 5 = i for o. -3 Let c be (-5)/((-5)/4) - -2. Let o = c + -6. Solve 2*r - 7 + 1 = o for r. 3 Let y = -6 - -6. Suppose f - 5 = -y. Solve 4*a + 3 = f*a for a. 3 Let w be (5 - 3 - 4) + 4 + 0. Solve w = p - 0*p for p. 2 Suppose -m = 2*m. Suppose -d - 13 = 3*x + 2*x, 12 = 3*d - 2*x. Solve m*f = -f + d for f. 2 Let a(p) = p**3 + 6*p**2 - 8*p - 3. Let h be a(-7). Suppose -2*j + 0*s = -s + 3, h*s = 5*j + 12. Solve 3 + j = 3*d for d. 1 Suppose 6*a - 5*a = -6. Let f = a + 15. Solve 0*m = 3*m - f for m. 3 Let v = -17 - -17. Let c be (v/(-1))/4 - -2. Solve c = -a + 2*a for a. 2 Let d be (-1)/2*(0 + 0). Let l(i) = -i**2 - 5*i - 6. Let u be l(-2). Solve n + u - 2 = d for n. 2 Let o be (-2)/(-4) - 1/(-2). Suppose -h + o = -5. Solve -3*s + 3 = -h for s. 3 Suppose 4 = f + 3*f. Suppose 9 - f = 4*h. Solve h*g + 3*g = 10 for g. 2 Let d be 6/(-27) - (-50)/(-18). Let i(n) = 7*n**3 + n**2 - 13. Let t(l) = 4*l**3 - 7. Let a(z) = -3*i(z) + 5*t(z). Let x be a(d). Solve 2 = -3*h - x for h. -2 Suppose -63 = -2*s + 5*s. Let z = 36 + s. Solve 5 = -4*p - z for p. -5 Let d(o) = -2*o - 2. Let z be d(-2). Let t(y) = -y**3 + 12*y**2 + 12*y + 19. Let j be t(13). Solve z*n + j = -0*n for n. -3 Let u(d) = -2*d**3 - 5*d**2 - 9*d - 5. Let z(c) = -3*c**3 - 4*c**2 - 9*c - 5. Let a(v) = -4*u(v) + 3*z(v). Let t be a(9). Solve -1 = 2*s + t for s. -3 Let n = 50 - 49. Solve f + 3 - n = 0 for f. -2 Suppose -i - 2*b = 1, 0 = -i + 4*b - 5 + 10. Let t be i + -3 + -1 + 5. Solve -2 = -t*f + 2 for f. 2 Let k(q) = q**3 - 4*q**2 + 2*q - 4. Let p be k(4). Suppose -y + 30 = p*y. Solve -y*t - 25 = -t for t. -5 Suppose 5*o + f - 3 = 5*f, -5*f + 9 = -2*o. Let l = o + -3. Solve 3 + l = -m for m. -3 Let p = 0 + 5. Let f = -16 + 37. Suppose -5*g + m = -26, -5*g - 5*m + f = 1. Solve 30 - p = -g*k for k. -5 Suppose 0 = -2*a + n, -3*a + 7*a = 3*n. Let l be ((-6)/(-2))/(-3)*-7. Solve a = -l*t + 3*t + 4 for t. 1 Let i be -1 + 8 + 36/(-6). Solve -3*u = i - 13 for u. 4 Let o = -1 - 5. Let p be o/5*10/(-4). Suppose -2*i + 3*a = 2, -4*a = 2*i - i - 10. Solve 1 = -p*s - i for s. -1 Let p(w) = 0*w**2 - 60 + 72 + 10*w + w**2. Let j be p(-9). Solve 0 = -j*y + 6 for y. 2 Let d(t) = -t**2 + 2*t + 1. Let g be d(2). Let s be -3*(-2)/6*g. Solve 2 = r + s for r. 1 Suppose -23*h + 27*h - 12 = 0. Solve 3*g - 9 = -h for g. 2 Let t(m) = m**2 + 6*m + 1. Let x be t(-6). Let f be (-6)/(x/(0 + 1)). Let q be ((-12)/9)/4*f. Solve -3*u = -q*u + 4 for u. -4 Let g be 52/20 - (-3)/(-5). Solve 7 = -3*t - g for t. -3 Let u(y) = -y + 12. Let h be u(5). Let m(g) = -1 - g**3 - 7*g**2 - h*g + 4 - 7. Let d be m(-6). Solve 3*n - 8 = -d for n. 2 Let n be (-6 - 0)/(-3) + 38. Suppose 0 = 2*l - 7*l + n. Solve l = 3*m - m for m. 4 Let i be 0/(1 - 3/1). Suppose d - 3 = -2*c + 1, 4*c - 2*d - 24 = i. Suppose 2*w - 4 = -2*k - w, 3*w = 0. Solve -c = 2*j + k for j. -3 Let w(y) = 2*y**2 + 5*y. Let t be w(-3). Solve -t*q + 5*q = 0 for q. 0 Suppose 3*g + g = 20. Suppose -4*r - 4 = -g*r. Solve -r*a = -5*a + 5 for a. 5 Let r = 6 + 4. Let d be -2 + 6 + (8 - r). Solve 4*l + 18 = d for l. -4 Let x be (-1 - -3)/((-4)/(-8)). Solve -o = x + 1 for o. -5 Let w(o) = o**3 - o**2 + 16. Let d be w(0). Let z = 129 - 125. Solve -z*q = -d - 0 for q. 4 Let h(w) = w**2 - 10*w + 13. Let j be h(9). Solve 2*k - j = k for k. 4 Suppose 0 = 8*k - 4 - 36. Solve 0 = 2*n - k*n - 3 for n. -1 Let y(d) = 3*d**3 - 3*d**2 - 5*d - 2*d**3 - 2 + 0 + 2*d. Let l be y(4). Solve 1 + 1 = l*o for o. 1 Suppose -w - 6 = -3*m + 5*m, 5*w = 5*m + 45. Solve 0 = n - 2*n - w for n. -4 Suppose -2*b + 113 = 4*o - b, o + 5*b = 52. Solve -5*x - 2 = -o for x. 5 Suppose -30*x = -32*x. Solve x = 2*k - 5*k - 6 for k. -2 Suppose -4*g - 21 = 5*p, 2*g + p + 2 + 1 = 0. Let z be 3 + (-2 - 0 - -3). Solve -z*f - 3 = g for f. -1 Suppose 0 = v - 2, 8 = -2*b + 4*b - 3*v. Let w = 4 - 5. Let a = w + 11. Solve -a = b*p - 2*p for p. -2 Suppose -4*f = -c + 141, -2*c - c + 15 = 0. Let n = 19 + f. Let x be (-2*1)/(6/n). Solve 0*q - x*q = -5 for q. 1 Let m(a) = -a + 17. Let g be m(14). Solve -g*u = -u for u. 0 Suppose 4*q - 10 = -2*f, 4*f - 5 = -3*q - 0. Suppose -2 = -q*z - 4*y - 1, 13 = 5*z + y. Solve 2 = z*v + 8 for v. -2 Let r = 27 - 27. Let l(f) = f**3 + 5*f**2 + 4*f. Let n be l(-3). Suppose 6*i - 3*i - n = 0. Solve r = i*j - j for j. 0 Let p be (-1)/3 - (-39)/9. Solve -2 = -p*r + 6 for r. 2 Let q = -69 - -73. Solve q*d + 6 - 26 = 0 for d. 5 Suppose -p = 3*p - 8. Solve 0 = -p*c + 2 - 10 for c. -4 Let j be (-5)/10*-6 + 1. Solve b = 2*b - j for b. 4 Suppose 5*t - 9 = 6. Let x be (1 + (1 - 3))*t. Let l be 1/x + 4/12. Solve -2*r + l*r - 4 = 0 for r. -2 Let c be -2 + 0 + 6 + 2. Solve 0 = -c*m + 2*m - 4 for m. -1 Suppose -4*x = 12 + 8, -3*n = -x - 14. Solve -4 = -n*i - 1 for i. 1 Let t = 26 - 26. Solve -2 = 2*k - t for k. -1 Suppose 4*h = 2*p, 6*h = 11*h. Solve z - 9 + 5 = p for z. 4 Let l(f) = 3*f**3 + 6*f**2 + 4*f - 12. Let o(k) = -16*k**3 - 29*k**2 - 21*k + 61. Let g(b) = 11*l(b) + 2*o(b). Let c be g(-7). Solve 10*n + c = 5*n for n. -5 Let x be (-15)/(-4) + 2/8. Let i(t) = t + 0*t + 2*t + 4 - t**2. Let d be i(x). Solve -h + d = 3 for h. -3 Let o(t) = t + 9. Let a be o(-7). Let x be a - (-3)/((-12)/8). Solve -3*p - 15 = -x*p for p. -5 Let g = -6 - -9. Let w be ((-1)/g)/((-7)/42). Suppose 2*u + 2 = 6. Solve w*m = m + u for m. 2 Let n = 8 - -4. Solve 0*z = 3*z + n for z. -4 Let i be (12/16)/((-1)/(-4)). Suppose -4*l + 4*z = l - 50, -4*l = i*z - 9. Solve 0 = -2*c - c - l for c. -2 Let v(y) = y**2 + 10*y + 14. Let b be v(-9). Solve -7 = b*p + 3 for p. -2 Let d = -3 + -2. Let a(u) = -u - 3. Let q be a(d). Suppose 1 = -i - 3*n + 3, q*i - 11 = n. Solve i*c + 12 - 2 = 0 for c. -2 Let u = -2 - -2. Let j be 6/3 + u/(-1). Suppose -5*h + 0 + 5 = 0. Solve -h = d - j for d. 1 Let y be (-9)/(-3)*(-4)/(-6). Suppose -5*a = y*p + 45, p + 5 = -0. Let d = -4 - a. Solve 0 = -4*x - 1 - d for x. -1 Let y be (2/6)/(1/39). Let o = y + -4. Let v be 30/o + (-2)/(-3). Solve -v - 4 = 2*s for s. -4 Let u be (-51)/(-5) + 1/(-5). Solve 5*l + u = -15 for l. -5 Let b be (-54)/(-15) + 2/5. Suppose -4*f + 5*s + 2 = 0, 5*s + 0 = 2*f + 4. Solve -b = d - f for d. -1 Let l = 44 - 22. Suppose -d - 4*j = -13, -3*j = 4*d - 2*j - l. Solve a = 2*a - d for a. 5 Suppose -d = -2*d + 9. Let i be 38/(-6) + 5/15. Let a = d + i. Solve 0 = -2*h - a*h for h. 0 Suppose 2 = o, 0*b + 10 = 2*b - 5*o. Let y = b + 1. Solve -y = 5*g + 4 for g. -3 Let s be ((-20)/(-6))/((-1)/(-6)). Solve -3*z - 2*z - s = 0 for z. -4 Let y(g) = -2*g + 8. Let w be y(4). Solve -5 = -5*c - w*c for c. 1 Let n(w) = -9*w. Let p = -9 - -8. Let m be n(p). Solve -m - 3 = -4*d for d. 3 Suppose 4 = 5*m - 11. Solve q + 0 + m = 0 for q. -3 Let s be (10/10)/(2/58). Let k(r) = r**3 + 5*r**2 + 2*r - 1. Let v be k(-4). Suppose 0*y + 17 = 3*m + y, 3*m - 4*y - v = 0. Solve -4 + s = -m*c for c. -5 Let p = 98 - 94. Solve -8*x = -p*x + 4 for x. -1 Let g = -13 + 22. Solve 4 = -m + g for m. 5 Let m be (0 + 5)*40/(-50). Let c be 1*2*(8 + m). Solve -c*u + 3*u = -5 for u. 1 Suppose -2*c + 4*c - 6 = 0. Let o = 4 + -3. Let r(w) = 2*w + 16. Let l be r(-6). Solve 0 = l*j - c*j - o for j. 1 Suppose -9 = -4*r + g, r + 3*g = -0*g + 12. Solve r*x = 4*x for x. 0 Let o = -15 + 15. Solve -3*k - 4 + 19 = o for k. 5 Suppose 4*n = -3*z + z + 10, 5*z - 2*n = 25. Suppose -k = h + k - 8, -2*h - z*k = -19. Let t be (-6)/18 + (-2)/(-6). Solve -h*u - u - 9 = t for u. -3 Suppose -5*w - 2*r = -r - 25, 0 = -3*r + 15. Solve -4 = 4*z + w for z. -2 Let j be 22/8 + 2/8. Suppose -21 = -0*u + j*u. Let p = -4 - u. Solve 6 + p = 3*a for a. 3 Suppose 26 = 3*l - 49. Let z(u) = u + 2. Let o be z(-2). Solve o*q = -5*q - l for q. -5 Suppose -q - 2*c = 0, 1 = 5*q + 5*c - 4. Solve -k = -0 - q for k. 2 Let m(y) = y**3 - 6 + 2 + 4*y**2 - y + 3*y**2. Let b be m(-7). Suppose b*j = 2*h + 6, -8 = -5*h + h + j. Solve h*n - 1 = 5 for n. 2 Let i be 3/12 + (-190)/(-8). Let j be i/4*(-2)/(-6). Suppose -4 = -u + 2*h, -4*u = j*h - 3*h - 51. Solve -4*g = -u - 2 for g. 4 Suppose h + 6 = -h. Let z be (-1 + -1)*h/3. Suppose 3*j - 4*j = -z. Solve 0 = j*y + 3*y + 10 for y. -2 Let l(s) = -14. Let z(o) = o + 15. Let w(c) = 3*l(c) + 2*z(c). Let y be w(11). Suppose 2*m + 0 = 12. Solve 0 = 4*f - m - y for f. 4 Let w(d) = d - 1. Let z be w(3
{ "pile_set_name": "DM Mathematics" }
+ 1. -288576*sqrt(11) + 2164421 Simplify (-6*sqrt(198)/sqrt(44)*-4)/(-5*(sqrt(81) - (sqrt(81) - -1*sqrt(81))) + (2*sqrt(81)*2 + sqrt(81) - sqrt(81))). 4*sqrt(2)/9 Simplify -1*sqrt(108) + 4 - (0 + 1 + sqrt(75)) - (sqrt(75) + sqrt(75) + 0 + 0 + sqrt(108) - (sqrt(3)*-2*6 + (sqrt(3) + sqrt(12)/sqrt(4))*3)). -33*sqrt(3) + 3 Simplify ((sqrt(612)/sqrt(588))/(3*sqrt(75))*-4)**2 + -5 + -4. -98953/11025 Simplify (3*(sqrt(735) + 1*1*sqrt(735) - sqrt(735)))/(sqrt(24)/(sqrt(392) + (sqrt(392) + sqrt(392)*-2 - sqrt(392)))*1). -147*sqrt(5) Simplify (sqrt(68) + 1*2*sqrt(68) + sqrt(68) + (sqrt(68)*-3 + sqrt(68))*-4 + sqrt(68))/(-4*2*sqrt(64)*-4). 13*sqrt(17)/128 Simplify (2*sqrt(132)*-6*-2*-6)/((sqrt(84) + (sqrt(84) - (sqrt(84) + sqrt(84)*-1 - sqrt(84))*2) - sqrt(84))/(sqrt(84)/sqrt(3))). -96*sqrt(11) Simplify (3*(sqrt(70) - (sqrt(70) - (sqrt(70) + sqrt(70)*2*2) - sqrt(70)))*5)/(-3*sqrt(40)/(sqrt(4) + sqrt(4)*-2*-6 + sqrt(4))). -420*sqrt(7) Simplify -6*(2*(sqrt(3) + -2*sqrt(3))*2*-6 - ((sqrt(3) - (-2 + sqrt(3))) + 2 + sqrt(3) - (sqrt(3) - 3*sqrt(12)))). -108*sqrt(3) + 24 Simplify 2*(-4*(1*sqrt(147) + 4) + 4)*1 + -2. -56*sqrt(3) - 26 Simplify -2 + (((sqrt(1872) + -3)*-6)**2 + 4*4*sqrt(1872) - (-3*(sqrt(1872)*-1*-4 - 5*-2*sqrt(1872)))**2). -3234494 - 2400*sqrt(13) Simplify -6*-2*-5*(3*(sqrt(95) + (sqrt(95) - (sqrt(95)*1*3 + sqrt(95)))))/(6*sqrt(15)/sqrt(3)*2). 30*sqrt(19) Simplify (5*sqrt(136)/(1*sqrt(8)))**2*-6 + sqrt(170)/(sqrt(100)/sqrt(10)) + (sqrt(833)*5)**2. sqrt(17) + 18275 Simplify 4 + 6*(sqrt(1372) + 0 + -1*sqrt(14)/sqrt(2) + -1)**2. -156*sqrt(7) + 7108 Simplify (2*(sqrt(18) - (sqrt(18) + 4*sqrt(2178))) - ((-1 + sqrt(648))**2 - (sqrt(18) - (sqrt(18) + 4*(sqrt(36)/sqrt(2) + sqrt(18)))**2)))*2. -4214 - 450*sqrt(2) Simplify (((sqrt(84) - (sqrt(84) + 1*sqrt(84)))/sqrt(2) + (sqrt(210) - sqrt(210)*-1)/sqrt(5))/(-3*(sqrt(24) + sqrt(216)/sqrt(9))) + 2)**2. -sqrt(7)/3 + 583/144 Simplify ((-2*(-4*(sqrt(343) + -1 + 0) - -2*(sqrt(343) - (sqrt(343)*-1 - sqrt(343)))*1) + -3)*-1)**2. 616*sqrt(7) + 5609 Simplify (sqrt(78)*2*4 - (sqrt(78) + (sqrt(78) + -2*sqrt(78))*3))/(sqrt(54) - (sqrt(54) + sqrt(4374)) - 4*5*sqrt(6)). -10*sqrt(13)/47 Simplify (3*(sqrt(121) - (-1*sqrt(121)*5 + sqrt(121)))*-6)/((sqrt(396)*-1 - sqrt(396))*-1 + (1*sqrt(396) - sqrt(396))*4 + sqrt(396)). -5*sqrt(11) Simplify (((-4*(sqrt(140)*-2 + sqrt(140)))/(-2*sqrt(7)*-3))/((-5*(sqrt(30) + 1*sqrt(30)) + sqrt(30))/(-3*sqrt(6)/sqrt(2))))**2. 8/81 Simplify (sqrt(400)/sqrt(2))**2 + -2 + 3*sqrt(2) - (2*sqrt(100))/(3*(sqrt(18) + sqrt(2))). 13*sqrt(2)/6 + 198 Simplify (4 + 2*(sqrt(288) + sqrt(288)*-1) + (sqrt(288)*-1 + 0)**2 + 3)*-1. -295 Simplify (sqrt(360)/(sqrt(72)/sqrt(6)))/((-3*sqrt(54))/sqrt(9) - sqrt(6)) - 1*6*-1*(sqrt(245)*1)**2. -sqrt(5)/4 + 1470 Simplify 4*(sqrt(425) + sqrt(425) + -2 + 5 + sqrt(425) + (sqrt(153)/(sqrt(27)/(sqrt(24)/sqrt(8) + sqrt(3))))**2). 60*sqrt(17) + 284 Simplify (3 + 2*sqrt(396) + -1 - (sqrt(396) - ((sqrt(396) + -1 + sqrt(396))*-6 - sqrt(396) - sqrt(396)) - (sqrt(396) + (2 + sqrt(396))*5 - sqrt(396))))**2. -1728*sqrt(11) + 25668 Simplify 4*(sqrt(152)/(sqrt(8) - 2*sqrt(8)*4) + (sqrt(19) + -1 + 2 + sqrt(19) - -6*(sqrt(19) + -2)**2)). -620*sqrt(19)/7 + 556 Simplify (((sqrt(95)*-1 - sqrt(95))*1 + (sqrt(95) - -1*sqrt(95)*2))/((sqrt(10) - 6*sqrt(10)*-2)/(sqrt(98)*1 - sqrt(98) - sqrt(98) - sqrt(2))))**2. 1216/169 Simplify ((sqrt(104) + 1*sqrt(104))*-5)/(4*(sqrt(8) - (sqrt(8) - sqrt(72)))) + 1 + (sqrt(2106) + -3*sqrt(2106))/(sqrt(4)/(sqrt(2)*-1)). 1 + 103*sqrt(13)/6 Simplify 1*((0 + sqrt(11)*1 + sqrt(1100)*2 - (sqrt(33)/sqrt(3)*5 + -3 + (sqrt(44)/sqrt(4) - sqrt(11))))**2*5 + -3). 480*sqrt(11) + 14122 Simplify -6*(-3 + -3 + (sqrt(304) - (sqrt(304) + sqrt(304) + -1 + sqrt(304))) - (-3*sqrt(304)*-2 + 1))**2*2. -233904 - 4608*sqrt(19) Simplify -4*(sqrt(112) + 0 + 1 + -3 + sqrt(112) + -4)*5. -160*sqrt(7) + 120 Simplify (1*-2*(1 + sqrt(1100)) + -3*(sqrt(1100) - (sqrt(1100) + 0))*-4 + (sqrt(1100)*-2 + -2 - sqrt(1100)) + -5 + 3 + -4)**2. 1000*sqrt(11) + 27600 Simplify (sqrt(228)*-2*-6 + (-1*sqrt(228) - sqrt(228))*-3)/(-1*sqrt(768) + sqrt(24)/(sqrt(6)/sqrt(3))). -18*sqrt(19)/7 Simplify (sqrt(102) + (3*4*sqrt(102) - sqrt(102)) + 2*4*sqrt(102))/((sqrt(6) - sqrt(294)*-4) + (sqrt(150) - -1*sqrt(150))). 20*sqrt(17)/39 Simplify -4*(-4 + 2*(3 + (0 + (sqrt(17) - (sqrt(119)/sqrt(112) + sqrt(17))) + 0 + sqrt(17) + sqrt(17) + 3)**2*4))*-2. 672*sqrt(17) + 3924 Simplify (5 + (sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 2)) + 4 + 3 - -4*(sqrt(1300) + 1*sqrt(1300) + sqrt(1300))*1))**2. 2600*sqrt(13) + 219800 Simplify (1 + 1*(5 + -4 + -4 + (sqrt(700) + 1)*1))**2. -20*sqrt(7) + 701 Simplify (sqrt(432)*4 - 5*(5 + sqrt(3) + sqrt(3)) - (sqrt(432)*-3 + -2 - (-2 + sqrt(432))*2))*2. -54 + 196*sqrt(3) Simplify (3 + sqrt(200))*6 + -3 + ((sqrt(110)*1 - sqrt(110))/sqrt(11) - sqrt(10))/(((sqrt(5) - sqrt(125)) + sqrt(5))*-1). 15 + 179*sqrt(2)/3 Simplify (sqrt(2057) + -2*sqrt(2057)*6 + 0 + (sqrt(2057) - sqrt(2057)*-3))**2 - (((sqrt(85) - sqrt(85)*2)*-2)/sqrt(5) + (sqrt(17) + 1 + 5)*-5). 3*sqrt(17) + 100823 Simplify (0 + sqrt(68)/sqrt(4))*6*4 + (2 + 2*(sqrt(153)/sqrt(9) + -2))**2. 16*sqrt(17) + 72 Simplify ((-4*-2*sqrt(209) + sqrt(209) + (sqrt(209) - -1*sqrt(209)*2))*-5)/((-2*((sqrt(99) - (sqrt(99) - 2*sqrt(99))) + sqrt(99) + sqrt(99)))/(-1*sqrt(144))). -30*sqrt(19) Simplify ((sqrt(396) - (1*sqrt(396) + 5))**2 - (4 + (0 + sqrt(396))**2))*-3 - (((sqrt(539)*2*6 - sqrt(539))*4)**2 + 3). -1042382 Simplify (sqrt(70)/(3*sqrt(160))*4)**2 + (sqrt(189)/sqrt(3) - (sqrt(42)/sqrt(6) + 4)) + 4. 7/9 + 2*sqrt(7) Simplify (-3*((2 + ((-2*sqrt(132))/sqrt(3) - sqrt(2816)*2))*4 + 3))**2. -28512*sqrt(11) + 2053953 Simplify -6*(5*sqrt(39)/sqrt(3) + 1) + 4 + 5 + (sqrt(143) + sqrt(143) + -3*(sqrt(143) + (sqrt(143) - sqrt(143)*-1)))/(2*sqrt(99)). -187*sqrt(13)/6 + 3 Simplify -2*((-5 + (sqrt(1100) + (sqrt(1100) + 2)*3 - sqrt(1100)))**2 - (-2 + -1*sqrt(1100)*-5)). -19806 - 20*sqrt(11) Simplify -4*((-1 + sqrt(75) + 3)*-1 + (sqrt(48)/sqrt(4) - (sqrt(363)*2)**2)). 12*sqrt(3) + 5816 Simplify ((sqrt(99)*-1)/sqrt(9) - (sqrt(1331) + -4)) + -4*-3*sqrt(704)*-1. -108*sqrt(11) + 4 Simplify 1*(5*sqrt(175)*3 - sqrt(175) - (4 + -3*sqrt(175) + sqrt(175))**2 - (sqrt(175) + -1 + -1 + -4 + -1 + sqrt(175))**2). -1465 + 290*sqrt(7) Simplify -4*(4*(1 + sqrt(108) + sqrt(108)) + -4*sqrt(108)*1 + sqrt(108) + -2*sqrt(108)*5 + -3 + -1*sqrt(108))**2*5*5. -388900 + 7200*sqrt(3) Simplify -2*((-2 + sqrt(5) + -2 - (sqrt(5) - -2*sqrt(20)) - -2*sqrt(320)*2) + 4). -56*sqrt(5) Simplify (-1 + 5*(sqrt(1584)*2 - sqrt(1584))**2 - ((3*sqrt(55))/sqrt(5) + sqrt(44)/(sqrt(4)*3))) + -2. -10*sqrt(11)/3 + 7917 Simplify (-3 + 0 + -2 + (3 + sqrt(720) + -2 + 0)*2 + -4)**2. -336*sqrt(5) + 2929 Simplify (3*(sqrt(1900)*-4 + -2 - (2*sqrt(1900) + 1))*2*1)**2. 12960*sqrt(19) + 2462724 Simplify (sqrt(90)/(sqrt(5)*1) - sqrt(18)) + -2 - ((-5*(sqrt(2) + sqrt(200)*3))**2 + -5). -48047 Simplify -4 + ((-1*(sqrt(1216) - (-2 + sqrt(1216))) - (6*sqrt(1216)*1 - sqrt(1216)))**2 - ((sqrt(1216) + sqrt(1216) + sqrt(1216)*1 + -1 + 3)**2 + -1)) + -4. 64*sqrt(19) + 19449 Simplify (-2 + (sqrt(1100) - (1*sqrt(1100) + -5)))**2 - -4*(5 + 2 + sqrt(44) - (sqrt(2156) - sqrt(2156)*-1)**2). -34459 + 8*sqrt(11) Simplify (sqrt(45)*-1 - (sqrt(20)/sqrt(4) + -4)) + (-3*-1*sqrt(5) - (sqrt(5) + sqrt(180)))**2 + (sqrt(35)/(sqrt(784)/sqrt(7))*4)**2*-6. -4*sqrt(5) + 54 Simplify (2*(sqrt(20) + sqrt(320)*-5))/(3*sqrt(16) + (sqrt(72)/sqrt(2) - sqrt(36)))*6. -38*sqrt(5) Simplify sqrt(405) + -4 + (sqrt(405)*2)**2 + (3 + sqrt(405) - sqrt(405)) + -5 + (sqrt(350)/(sqrt(70)/sqrt(7)))/(sqrt(7) - 2*sqrt(567)). 152*sqrt(5)/17 + 1614 Simplify ((sqrt(119)*-1*1 - 3*-1*sqrt(119))*1)/((-4*sqrt(700)*1 - sqrt(700)) + sqrt(700) + sqrt(700) + (sqrt(700) - 6*2*sqrt(700))). -sqrt(17)/70 Simplify (-1*(-1 + 2*(sqrt(847) + 0) - (3 + sqrt(847) + 4*sqrt(847)*1 + sqrt(847)))*3)**2. 3168*sqrt(7) + 122112 Simplify (((-1*sqrt(132) - sqrt(132))*3)/((sqrt(3) - sqrt(27))*2))/(1*sqrt(484) - sqrt(64)/sqrt(4)). sqrt(11)/6 Simplify (sqrt(243)/sqrt(324) - 1*sqrt(216)/sqrt(8))/(sqrt(9) + (sqrt(9) + sqrt(9) + 2*sqrt(9) + sqrt(9))*-2 - sqrt(9)*4*3). 5*sqrt(3)/126 Simplify (-3 + 4 + 1 + (-1*sqrt(275) + -4 - sqrt(77)/(sqrt(35)/sqrt(5)*5)))**2. 104*sqrt(11)/5 + 7536/25 Simplify (sqrt(2)
{ "pile_set_name": "DM Mathematics" }
e 0 = g - 6 - 4. Let t be 3 + g/(-1) + 2. Does 18 divide (-240)/(1 + t) - 0? False Suppose 2*f + 16 = -2*h, 5*f = -0*f + 3*h - 8. Let m be f/(-3 - 1 - -2). Suppose 0 = m*b + b + 4*p - 44, 48 = 2*b - 2*p. Does 17 divide b? False Let s = -10133 + 6998. Is (-4)/6*s/10 a multiple of 29? False Let d be 4*(-3 + 5) + -2. Does 4 divide d/14 + (-242)/(-7) + -3? True Is 14 a factor of (-4)/8 + (-57375)/(-30)? False Let u be (1*-1)/(1/(-2)). Let g(r) = -3 + 6*r - 4*r + r**3 - 3*r**u + 6. Does 2 divide g(3)? False Let c(k) = 3*k + 16. Let b be c(-7). Let t(l) = -l + 3*l**2 - 2 + l - l**2. Does 24 divide t(b)? True Is 5/1 + (56 - 6) a multiple of 2? False Is 13 a factor of 135 + (-11)/((-33)/(-18))? False Let w(m) = m**2 - 2*m - 4. Suppose -4*p = -o - 8, -1 = o - 2*o + p. Let k be w(o). Suppose k*g = 0, 3*j - 83 + 5 = -g. Does 26 divide j? True Suppose -r + 13 = -2*z - 0, 2*z + 10 = 0. Let o(n) = 0 - 2*n + r*n + 14. Is 3 a factor of o(-9)? False Let f(d) = 32*d - 24. Does 26 divide f(43)? True Suppose -10 = -4*s + 6. Let y(g) = 14*g + 2. Let i be y(s). Suppose -3*h = -5*h + i. Does 10 divide h? False Is (-216 - 1108)*2/(-7 + -1) a multiple of 7? False Suppose 2*m - 60 = 46. Let l = 17 + m. Does 10 divide l? True Let j = 181 + -61. Suppose -j = -41*l + 38*l. Is 5 a factor of l? True Does 41 divide (-112)/1176 + (49270/42 - -3)? False Suppose -23*i + 19*i = -4*g - 11568, -5*i + 4*g = -14459. Is 18 a factor of i? False Let j(s) = s**3 + 8*s**2 - 16*s + 14. Is j(8) a multiple of 91? True Suppose 3*w + 206 = -2*s, 3*w = -0*s + 3*s - 201. Suppose -324 + 63 = -2*o - 5*m, 3*o - m = 434. Let b = o + w. Is b a multiple of 25? True Suppose 23 = 3*s + 167. Let z be -6*4/(s/(-4)). Is 31 a factor of z/(-1)*(-93)/(-6)? True Suppose 468 = -10*h - 3*h. Let i = 206 - h. Does 19 divide i? False Suppose 4*v - 24 + 92 = 2*n, 0 = 4*n - 2*v - 112. Is 13 a factor of n? True Let u be ((-2)/4 - 39/6)*-1. Does 5 divide 11 - (1 + 2 + 0 - u)? True Suppose 15*d = 10*d + 20. Suppose -2*g - 8 = d. Let s(j) = j**3 + 7*j**2 - j + 6. Does 14 divide s(g)? False Let y(q) = -36*q + 24. Let p be ((-2)/4)/(19/76). Is 8 a factor of y(p)? True Suppose -3*i = -7*i + 24. Let b be i/1*(-27)/18. Is 3 a factor of 2/b + (-168)/(-27)? True Let y(o) = 6*o**2 - 22*o + 14. Does 11 divide y(7)? True Let s(g) = -2*g**2 + 21*g - 16. Let p be s(12). Let f = p + 94. Is f a multiple of 21? True Let p be 5*(104/(-40) + (-2)/(-10)). Is 2 a factor of (-12)/(-3*1*(-4)/p)? True Let c(n) = n**3 + 2*n**2 + n + 2. Let m(v) = v - 7. Let t be m(5). Let b be c(t). Is (1/3 - b)*9 a multiple of 3? True Suppose m + 15 = 3*m + 3*t, -4*t = -12. Is 9 a factor of m + 4/14 + 2535/21? False Let b be (-273)/(-14)*30/9. Let p = b + -46. Is p a multiple of 13? False Suppose -3*c - 88 = -4*l + 19, 0 = -4*l - 3*c + 101. Let n = 41 - l. Does 11 divide n? False Suppose 0 = -j - 3*n + 2483, -j + 2397 = -3*n - 68. Does 7 divide j? False Let y(s) = 2*s - 3. Suppose 6 = -2*p - 0. Let b be y(p). Let x = b + 17. Is 5 a factor of x? False Let g be (4 - 2 - 0) + -47. Let n = g - -120. Does 24 divide n? False Suppose 3*c - 58 = 134. Suppose 37*a + c = 41*a. Suppose 2*r - 2*g = a, 5*g = -r + 2*r + 8. Is 12 a factor of r? True Let u(q) be the second derivative of 5*q**4/4 + 3*q**2 - 4*q. Let n(f) be the first derivative of u(f). Does 5 divide n(1)? True Let d = 0 - -14. Suppose 39*i - 132 = 36*i. Let g = i - d. Is 6 a factor of g? True Suppose 102 = -0*j + 3*j. Let k(r) = -15 + r + j + 31. Does 25 divide k(0)? True Let d(n) = 58*n - 53. Let j be d(9). Let q = j - 259. Is 30 a factor of q? True Suppose 3*j + 913 = 2*y, -3*j + 2935 - 621 = 5*y. Does 4 divide y? False Let q(y) = -2*y + 29. Let h be q(12). Suppose 0 = -g + 6*a - a + 135, -h*g = 3*a - 591. Is 30 a factor of g? True Let s(p) = -p**2 + 24*p + 27. Let h be s(25). Suppose h*r - 172 = -48. Is r a multiple of 11? False Let r be -5*(6/15)/(-1). Suppose d = 2*c, 2*d - 10 = -2*d - r*c. Suppose t = 3*a - 175, -d*a + t + 109 = -6. Is 15 a factor of a? True Let d = -303 + 547. Suppose 9*q - 5*q - d = 0. Is 25 a factor of q? False Suppose 0 = -4*g + 34 - 330. Let z = 105 + g. Let t = -20 + z. Is 11 a factor of t? True Let p(b) = 4*b**2 - 30*b + 28. Is 6 a factor of p(7)? False Suppose -5*b + 1170 = 345. Suppose w - 247 = 2*h, h + 1235 = 5*w + 2*h. Let r = w - b. Does 13 divide r? False Suppose -46*g = 49*g - 9215. Does 9 divide g? False Let r = 12 - 17. Let m = 8 + r. Suppose -63 = -m*i + 45. Is i a multiple of 9? True Suppose 8 = -3*y - 3*x + 26, -28 = -4*y - 5*x. Suppose 2*l - 13 = -l + 5*k, y*l - 2*k = 10. Does 6 divide l? True Let c be 2*-1*-3*1/(-3). Is c - 79*(-3)/(-3)*-1 a multiple of 25? False Let u = -59 + 63. Does 11 divide (u/2)/((-3)/(-111))? False Let q(k) = 108*k**2 - 52*k**2 - 57*k**2 + 20*k - 3 - 9*k. Let x(m) = m**3 + 7*m**2 + 4*m - 7. Let c be x(-6). Is q(c) a multiple of 9? True Let r be -3*(-2)/12*6. Suppose -27 = -4*b + l, -r*l + 0 = -b + 15. Is (-8)/(-12) + 176/b a multiple of 9? False Is 38 a factor of 9 - (7 - 1 - 263)? True Suppose 562*b - 556*b - 3120 = 0. Does 8 divide b? True Suppose 0 = 7*k - 2*k - 20. Let p be 1 + (-6)/(-4)*2. Suppose -p*d + 2*o = -176, -73 = -k*d - 5*o + 131. Is d a multiple of 11? False Does 7 divide 12/(-16)*(-1132)/3? False Suppose 5851 + 3103 = 11*j. Is j a multiple of 17? False Let k = 6 - 4. Suppose 0 = -14*r + 6*r - 504. Is 20 a factor of (-1242)/r - k/(-7)? True Let p = 285 + -30. Does 17 divide p? True Suppose -q = 2*q - 6. Let c(w) = 0 - w + 5*w + 2 - w + 13*w**q. Does 24 divide c(-2)? True Let t = 4 - -1. Suppose -f - 4*f = -t, 5*f = 5*z + 20. Let y = z - -55. Is y a multiple of 24? False Suppose 0 = -7*z - 3*z + 1760. Is 8 a factor of z? True Let d = 21 - -15. Let m = -13 + d. Does 4 divide m? False Let s(u) = u**2 - 18*u + 6. Let h be s(18). Suppose 0 = 2*t - 442 - h. Is t a multiple of 28? True Suppose -10 - 2 = -6*j. Let n(d) = 24*d**j - 14 + 28*d**2 - 2*d - 51*d**2. Does 11 divide n(10)? True Is 3 a factor of 6/(-11) - (-33)/242*6472? True Suppose -8*t + 8 = -4*t. Let y(k) = -k**2 - 2*k**2 + 8*k**t - 6. Does 13 divide y(3)? True Suppose 0 = -5*k + 1656 + 1824. Does 24 divide k? True Let g be (3/4)/(0 + 2/352). Suppose 11*d - 165 = g. Is d a multiple of 27? True Suppose 912 = r + 5*s, -4*r + 5*s + 689 + 2884 = 0. Does 13 divide r? True Suppose 5*p = 4*v - 265, -5*v + 2*p + 321 = 6*p. Let k = v + -28. Does 37 divide k? True Suppose -62 = -3*u - 5*k, -4*u - u + 130 = 3*k. Let d be 2/1 + (5 - 3). Suppose -d*z + u = -55. Does 14 divide z? False Let o(g) = 3*g**2 - 5*g - 11. Suppose -3*k + 4*c = -1, 1 = -4*k + 2*c - 11. Is o(k) a multiple of 35? False Suppose 6*w = 6008 + 1438. Is w a multiple of 29? False Let h(x) be the second derivative of -3*x**3 - 3*x**2 + 10*x. Is h(-7) a multiple of 30? True Let f be 247*2*(-3)/(-6). Suppose -x = -5*z + f, 5*z - 3*z - 2*x = 102. Does 13 divide z? False Let d = -576 + 225. Let b = -239 - d. Does 16 divide b? True Suppose 3*m + 192 = 5*i, -3*i + 4*m = -49 - 75. Is i a multiple of 12? True Let c(d) = -3*d**2 - d - 1. Let m be c(-2). Let r = -6 - m. Suppose 7*j - 18 = r*j. Does 9 divide j? True Suppose 11*j + 44*j - 76670 = 0. Is j a multiple of 82? True Suppose -3*r = 5*m - 1680, 3*m = 3*r + 2*r + 974. Does 21 divide m? False Let z = 42 - 37. Is (-2)/z - (-2260)/25 a multiple of 30? True Let x(i) = -27*i**3 - i**2 + 1. Let s be x(-1). Suppose z - 3*l + s = -24, 0 = -z - 4*l - 72. Does 10 divide 0/((-1)/(-1)) - z? True Let d(m) = -4*m - 6. Let t(a) = a. Let v = 10 - 15. Let z(k) = v*t(k) - d(k). Does 19 divide z(-13)? True Let m(b) = -2*b**3 - b**2 + 2*b - 1. Let f be m(-2). Let n be (f/(-21))/(1/(-24)). Suppose -n = 4*v, 48 = 3*h - h - 2*v. Is h a multiple of 6? False Let n be (65*1)/(1/3). Suppose -p - n = -5*j - 0*j, 5*p = -2*j + 78. Is 13 a factor of j? True Let i(a) = 3. Let v(x) = -16*x + 19. Let g(y) = -6*i(y) + v(y). Suppose -2 = 2*r + 2. Is g(r) a multiple of 11? True Let f(b) = -b**2 + 7*b + 5. Let p be f(8). Let x be -9 + p + 3 + 3. Is 7 a factor of 12/(-8)*28/x? True Let b(d) = 146*d + 290. Is b(4) a multiple of 46? True Does 33 divide 267 - 4/(12/9)? True Let i = -1 - -3. Let w be 18/12*(i - 0). Suppose 4*u + w*d = -0*u + 57, u - 3*d = 3. Is u a multiple of 6? True Let h = 27 + -25. Let o =
{ "pile_set_name": "DM Mathematics" }
f 505477 to the nearest integer? 80 What is the ninth root of 3223380 to the nearest integer? 5 What is 875487 to the power of 1/3, to the nearest integer? 96 What is 288151 to the power of 1/7, to the nearest integer? 6 What is the square root of 21262482 to the nearest integer? 4611 What is 741368 to the power of 1/7, to the nearest integer? 7 What is 285423 to the power of 1/9, to the nearest integer? 4 What is the square root of 93264 to the nearest integer? 305 What is the square root of 260003 to the nearest integer? 510 What is the cube root of 605757 to the nearest integer? 85 What is 2430263 to the power of 1/3, to the nearest integer? 134 What is 1983712 to the power of 1/8, to the nearest integer? 6 What is 9152846 to the power of 1/9, to the nearest integer? 6 What is the square root of 5790453 to the nearest integer? 2406 What is the square root of 199594 to the nearest integer? 447 What is 10154114 to the power of 1/2, to the nearest integer? 3187 What is the square root of 3864174 to the nearest integer? 1966 What is the square root of 547046 to the nearest integer? 740 What is 313652 to the power of 1/2, to the nearest integer? 560 What is 3820621 to the power of 1/2, to the nearest integer? 1955 What is 26578 to the power of 1/6, to the nearest integer? 5 What is 515817 to the power of 1/4, to the nearest integer? 27 What is 10314269 to the power of 1/10, to the nearest integer? 5 What is 3475392 to the power of 1/2, to the nearest integer? 1864 What is 2808326 to the power of 1/10, to the nearest integer? 4 What is 21698426 to the power of 1/2, to the nearest integer? 4658 What is the cube root of 368284 to the nearest integer? 72 What is 542346 to the power of 1/3, to the nearest integer? 82 What is 1611854 to the power of 1/5, to the nearest integer? 17 What is 1982437 to the power of 1/2, to the nearest integer? 1408 What is the seventh root of 17357792 to the nearest integer? 11 What is the square root of 1220038 to the nearest integer? 1105 What is 2104963 to the power of 1/2, to the nearest integer? 1451 What is the eighth root of 211197 to the nearest integer? 5 What is the ninth root of 255120 to the nearest integer? 4 What is the square root of 2152168 to the nearest integer? 1467 What is the third root of 1696388 to the nearest integer? 119 What is the square root of 453787 to the nearest integer? 674 What is the square root of 16544006 to the nearest integer? 4067 What is 366413 to the power of 1/3, to the nearest integer? 72 What is the eighth root of 950663 to the nearest integer? 6 What is 261928 to the power of 1/3, to the nearest integer? 64 What is 94421 to the power of 1/2, to the nearest integer? 307 What is the cube root of 16539998 to the nearest integer? 255 What is the third root of 4682421 to the nearest integer? 167 What is the square root of 658478 to the nearest integer? 811 What is the square root of 6051049 to the nearest integer? 2460 What is 687873 to the power of 1/5, to the nearest integer? 15 What is the fifth root of 3132181 to the nearest integer? 20 What is the third root of 593149 to the nearest integer? 84 What is the square root of 3542755 to the nearest integer? 1882 What is 570723 to the power of 1/2, to the nearest integer? 755 What is 5735936 to the power of 1/2, to the nearest integer? 2395 What is 2417341 to the power of 1/10, to the nearest integer? 4 What is the square root of 199219 to the nearest integer? 446 What is the eighth root of 173647 to the nearest integer? 5 What is 40385543 to the power of 1/3, to the nearest integer? 343 What is 1260603 to the power of 1/2, to the nearest integer? 1123 What is 6273758 to the power of 1/3, to the nearest integer? 184 What is the seventh root of 1482081 to the nearest integer? 8 What is the fifth root of 282437 to the nearest integer? 12 What is 9619010 to the power of 1/3, to the nearest integer? 213 What is the tenth root of 5566145 to the nearest integer? 5 What is the square root of 3473351 to the nearest integer? 1864 What is the tenth root of 634170 to the nearest integer? 4 What is 2658849 to the power of 1/10, to the nearest integer? 4 What is the third root of 4094369 to the nearest integer? 160 What is the third root of 2939753 to the nearest integer? 143 What is 2048024 to the power of 1/6, to the nearest integer? 11 What is the cube root of 8917305 to the nearest integer? 207 What is the square root of 343485 to the nearest integer? 586 What is the third root of 1156551 to the nearest integer? 105 What is the tenth root of 219457 to the nearest integer? 3 What is 659791 to the power of 1/2, to the nearest integer? 812 What is the ninth root of 5785444 to the nearest integer? 6 What is the eighth root of 4212917 to the nearest integer? 7 What is 145303 to the power of 1/9, to the nearest integer? 4 What is 6925053 to the power of 1/3, to the nearest integer? 191 What is 215561 to the power of 1/7, to the nearest integer? 6 What is 10243950 to the power of 1/3, to the nearest integer? 217 What is the sixth root of 6989035 to the nearest integer? 14 What is the square root of 4815527 to the nearest integer? 2194 What is the fifth root of 295539 to the nearest integer? 12 What is the square root of 382082 to the nearest integer? 618 What is the square root of 20493941 to the nearest integer? 4527 What is 164253 to the power of 1/3, to the nearest integer? 55 What is the eighth root of 1667710 to the nearest integer? 6 What is 106847 to the power of 1/3, to the nearest integer? 47 What is the square root of 75823 to the nearest integer? 275 What is the cube root of 10546430 to the nearest integer? 219 What is 1538883 to the power of 1/10, to the nearest integer? 4 What is the third root of 155571 to the nearest integer? 54 What is the tenth root of 3780530 to the nearest integer? 5 What is 28659994 to the power of 1/4, to the nearest integer? 73 What is the third root of 1817074 to the nearest integer? 122 What is the seventh root of 113220 to the nearest integer? 5 What is 716135 to the power of 1/2, to the nearest integer? 846 What is 5457084 to the power of 1/2, to the nearest integer? 2336 What is the square root of 76023 to the nearest integer? 276 What is the cube root of 663139 to the nearest integer? 87 What is the third root of 247922 to the nearest integer? 63 What is 1752863 to the power of 1/2, to the nearest integer? 1324 What is the fifth root of 346453 to the nearest integer? 13 What is the third root of 1761134 to the nearest integer? 121 What is the square root of 571572 to the nearest integer? 756 What is 995254 to the power of 1/2, to the nearest integer? 998 What is 2179341 to the power of 1/2, to the nearest integer? 1476 What is the third root of 754816 to the nearest integer? 91 What is the cube root of 2870163 to the nearest integer? 142 What is 1022288 to the power of 1/2, to the nearest integer? 1011 What is 293264 to the power of 1/5, to the nearest integer? 12 What is 1244617 to the power of 1/2, to the nearest integer? 1116 What is 660934 to the power of 1/2, to the nearest integer? 813 What is the third root of 12770017 to the nearest integer? 234 What is the third root of 9143264 to the nearest integer? 209 What is 490914 to the power of 1/3, to the nearest integer? 79 What is 4630824 to the power of 1/4, to the nearest integer? 46 What is the cube root of 947674 to the nearest integer? 98 What is 645448 to the power of 1/6, to the nearest integer? 9 What is 253035 to the power of 1/3, to the nearest integer? 63 What is 291604 to the power of 1/7, to the nearest integer? 6 What is 255842 to the power of 1/3, to the nearest integer? 63 What is the cube root of 15108839 to the nearest integer? 247 What is the cube root of 4831404 to the nearest integer? 169 What is the ninth root of 924688 to the nearest integer? 5 What is 16454526 to the power of 1/2, to the nearest integer? 4056 What is the tenth root of 2868425 to the nearest integer? 4 What is the third root of 1079832 to the nearest integer? 103 What is the square root of 1866162 to the nearest integer? 1366 What is the square root of 175206 to the nearest integer? 419 What is the cube root of 2866746 to the nearest integer? 142 What is 1
{ "pile_set_name": "DM Mathematics" }
= a - 79. Suppose 72 = 3*n - 4*x, -5*x - a = n - 4*n. What is the smallest common multiple of n and 18? 180 Let o(i) = -210*i - 6. Let f be o(-2). Find the common denominator of -85/6 and f/(-1365) + (-6)/(-10). 546 Suppose 0 = -5*l + 5*j + 15, -5*l - 5 - 1 = 2*j. Suppose l = -23*o + 22*o + 1. Calculate the lowest common multiple of 10 and o. 10 What is the smallest common multiple of -5 + 68/12 + (-210)/(-9) and 52? 312 Suppose 0 = m - 3*r - 2, -2*r - 6 = -3*m - 0. Suppose 5*j + 12 = s - 2*s, -m*s = j - 12. Find the common denominator of 63/4 and s/28 + (-1074)/280. 20 What is the lowest common multiple of 7 and ((-164)/6)/(3/(-9))? 574 Let d = 2089 + -37685/18. Find the common denominator of d and ((-304)/152)/(1 - 0 - 78/82). 18 Suppose -2*q - 4*q + 12 = 0. Let u be q + (6 + -4 - -1). Suppose -4*b = -u*b + 9. What is the lowest common multiple of 6 and b? 18 Let x(g) be the first derivative of -g**2/2 + 14*g - 6. Calculate the lowest common multiple of 104 and x(-2). 208 Find the common denominator of 8/531 and (-3287)/171 + 19 - 73/(-5310). 5310 Let h = -100740141/13090 + -5155/1309. Let f = h + 7689. Calculate the common denominator of f and (-4)/(-1)*((-3735)/(-396) + -9). 110 Find the common denominator of 3 + 17/10 - 1 and (28/12)/((-30)/99) + -3. 10 Let k be -4*(-92)/(-16)*-1. Suppose -5*w + 4*q + 32 = 0, -w + 5*q = w - k. Calculate the common denominator of -51/4 and 1502/84 + w/14. 12 Suppose 8166 = -4*q - 2*h, -5171 = 4*q + h + 3000. Let y = -28589/14 - q. Calculate the common denominator of (2/4)/((-28)/(-316)) and y. 14 Let s(q) = q**2 + 4*q + 5. Let l be s(-3). What is the least common multiple of 10 and (11 - -1)/(l/2)? 60 Let t = 48 - -128. Calculate the lowest common multiple of 80 and t. 880 Suppose 0 = 2*o + 2*x - 37 + 3, 2*o - 2*x - 30 = 0. Calculate the smallest common multiple of o and 188. 752 Let t = -141 - -143. Suppose 2*a = -5*m + 32, t*m - a = 2*a + 28. What is the smallest common multiple of 44 and m? 88 Let o(r) = -r**2 + 8*r - 10. Let z be o(6). Suppose 4 + 12 = z*v - 2*g, 0 = -3*v + 4*g + 29. What is the least common multiple of v and 27? 27 Let b(r) = 5002*r**3 - 1. Let g be b(1). Let d = g + -2545510/509. Let z = -6633/8144 - d. Calculate the common denominator of z and -59/2. 16 Let d be 4/((-1056)/54)*(-2)/174. Let t = 32517/8932 + d. Let x = -517/144 + 117/16. Calculate the common denominator of t and x. 126 Let l(v) = 3*v + 3. Let x be l(-5). What is the common denominator of (-605)/50 + 7 + 6 and ((-2)/x)/(7/(-279))? 70 Calculate the common denominator of -9 + (-19)/(380/48) and -51/1049. 5245 Let l be (2 + 2 + -3)*0. Suppose 0*n = -4*n + 48. Let i = n + l. What is the lowest common multiple of i and 10? 60 Let i = -39/349 - -21527/8376. Calculate the common denominator of i and 131/140. 840 Let j be ((7 - 4)/(-3))/1. Let p = 1 - j. Suppose 2*i - 56 = -f - 3*f, 4*i = p*f + 62. What is the lowest common multiple of 32 and i? 288 Suppose 0 = -3*g + 6, -10 = -2*h - 7*g + 10*g. Let o = -6 + 15. What is the smallest common multiple of h and o? 72 Let g(n) = -59*n - 113. Calculate the least common multiple of g(-2) and 1035. 1035 Calculate the lowest common multiple of 4 and -2 + -147*20/(-30). 96 Let k = 424 + -419. What is the smallest common multiple of 220 and k? 220 Suppose 2*j = 5*j. Let c = j - -1. What is the smallest common multiple of c and 9? 9 Suppose 2*l + 32 = x, -192 = -3*x - 2*x + 2*l. What is the smallest common multiple of x and 144? 720 What is the lowest common multiple of 5/5 - 19/(19/(-24)) and 220? 1100 Let o = -2377/1062 + 37/59. Find the common denominator of 87/2 and o. 18 Let n = 110311/48 - 2298. Find the common denominator of n and 399/90 - (-7 + (-187)/(-17)). 240 Let u = 276 + -228. Calculate the lowest common multiple of 80 and u. 240 Let z = -26742 - -855843/32. Find the common denominator of z and 11/128. 128 Let t = -38 - -65. Suppose -x - t = -8. What is the common denominator of x/8*(-8)/10 and -93/16? 80 Find the common denominator of 139/36 and ((-5)/(-12))/(8/46). 144 Suppose 39 = 4*i - y, 0*y + 3*y + 45 = 4*i. Let k(g) = g + 1. What is the least common multiple of k(8) and i? 9 Let b(d) = -1. Let p(f) = -4*f - 16. Let j(g) = 4*b(g) - p(g). Let y be j(-6). Let s = y + 22. Calculate the least common multiple of s and 3. 30 What is the common denominator of (-6)/(-22)*(-44)/(-8) and 10/49? 98 Calculate the common denominator of (-7 - 1265/(-66))/(6/(-4)) and 61/3. 9 Let h(w) = 6*w - 25. Let k = -104 - -109. Calculate the smallest common multiple of h(k) and 8. 40 Let r = 216 + -488. Calculate the common denominator of 64/9 and ((-3)/(-22))/((-556)/r - 2). 99 Let l be ((-186)/4)/(-2 + -112). Let i = 1363/152 + l. Calculate the common denominator of -16/3 and i. 24 What is the least common multiple of 16 and 6/((-312)/112 + 3)? 112 Let q(l) = -l**3 + 16*l**2 + 8. Let g = -9 - -19. Calculate the lowest common multiple of g/6 - (-8)/24 and q(16). 8 Let v = -32 - -22. Find the common denominator of (-2)/(-1*(-16)/(-194)) and 8/(-20) + (-149)/v. 4 Let w(k) = 4*k + 24. What is the smallest common multiple of w(-3) and 16? 48 Let w(t) = t + 37. Let n(z) = -z**2 + 5*z + 1. Calculate the least common multiple of n(5) and w(-32). 5 Let s(f) = 32*f + 274. What is the smallest common multiple of 80 and s(-7)? 400 Let o(y) = y**3 + 11*y**2 - 12*y + 1. Let n be o(-12). Suppose 2 = p + n. Find the common denominator of -95/34 and (-47)/22 + 2 + p. 374 Let i = 4/3 - 5105/6. Let m = i + 829. Let c = 2037/94 + -8/47. Find the common denominator of c and m. 2 Let q be 16/6 - 2 - (-66791)/(-30). Let h = 2228 + q. Find the common denominator of h and 28/9. 90 Let z(q) = -14*q - 9. Let s be z(-9). What is the common denominator of ((-3)/8)/(180/6640) and s/28 - 1/4? 42 Calculate the common denominator of ((-7)/40)/((-2)/((-792)/(-675))) and -29/15. 750 Let d be -1 - (2 - 4) - -56. Suppose -3*y = -3*n - d, -3*y - n = -3*n - 54. What is the least common multiple of y and 6? 48 Suppose 10*q - 4*q = 0. Suppose q = 20*t - 20 - 620. What is the least common multiple of 36 and t? 288 Let p(n) = -n**3 + 4*n**2 - 2*n + 2. Let i be 48/64 + 18/8. Calculate the lowest common multiple of 4 and p(i). 20 Suppose 40*i - 9*i = 124. What is the smallest common multiple of 32 and i? 32 Let y = -1517/4 - -7803/20. Calculate the common denominator of -119/30 and y. 30 Let k = -2/465 - 6353/465. Let m be (-8)/(-2) - (19 + -14). Find the common denominator of (-3*m/150)/((-2)/385) and k. 60 Suppose -7*g + 139 = -15. What is the least common multiple of g and 120? 1320 Find the common denominator of (-3 - (3 - 10)) + 583/(-156) and -145/12. 156 Let g(x) be the first derivative of -x**2/2 + x - 12. What is the least common multiple of 16 and g(-9)? 80 Let m(i) = -47*i + 249. Calculate the least common multiple of m(5) and 182. 182 What is the common denominator of -55/3 and (-68)/(-14) + (-13 - -8)? 21 Let k = 4635/7 + -1028165/1554. Calculate the common denominator of k and 123/20. 2220 Let m = 1/8308 - 12469/58156. Suppose -5*v + 4*a + 75577 = 6*a, -3*v = -3*a - 45363. Let y = v + -181301/12. What is the common denominator of y and m? 84 Suppose 3*f - 60 = 2*i, 0 = -4*f + 5*i + 27 + 53. Calculate the common denominator of 65/34 and (178/f)/(2/(-5)). 68 Suppose 0 = 4*u - 2*h - 62, 2*h = -0*u - 4*u + 82. Let t = 21 - 19. Suppose 4 = g - i, 6 + t = 2*i. What is the least common multiple of u and g? 72 Let w = 4 + -2. Suppose -3*m + 14 = -3*d - 10, -m + 3*d = w. Calculate the smallest common multiple of 3 and m. 39 Let q = -2185 - -2297. Calculate the lowest common multiple of q and 160. 1120 Let m = 8 - -2. Let q = 15 - m. Suppose 2*k + q*g + 7 = 0, -4*k = -0*g - 3*g - 25. Calculate the smallest common multiple of 22 and k. 44 Let o = -2329658/117 + 19912. What is the common denominator of 59/12 and o? 468 Suppose 2*w - 2 = w - 3*g, 0 = 4*w + 3*g - 26. Suppose u - 4*v = -10, -3*u + 4*v - 22 = 32. Let q = 33 + u. Calculate the lowest common multiple of q and w. 88 Let z(i) = 21*i + 4. Let l be 3 + -3 + 42/3. Let x = -12 + l. Calculate the common denominator of z(x) and 23/5. 5 Let h(a) = -47*a - 7. What is the lowest common multiple of h(-1) and 32? 160 Let b = -1075/3 - -2529/7. Find the common denominator of b and
{ "pile_set_name": "DM Mathematics" }